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": {"u": "p + 16", "m": "u + 14", "t": "m + 6", "o": "t + 3", "r": "o + 13", "w": "r + 4", "l": "p + 16", "k": "l + 19", "h": "k + 7", "c": "h + 16", "e": "c + 10", "s": "e + 18", "p": 1}, "premises": {"p": 1}, "target": "w"}, "answer": {"steps": [["r", "o + 13", "o + 17"], ["o", "t + 3", "t + 20"], ["t", "m + 6", "m + 26"], ["m", "u + 14", "u + 40"], ["u", "p + 16", "p + 56"], ["p", 1, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"p": 1}, "is_reverse": true}} | 5,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 7; p = 1; r = o + 13; o = t + 3; t = m + 6; c = h + 16; e = c + 10; k = l + 19; u = p + 16; m = u + 14; w = r + 4; l = p + 16; s = e + 18. Given that p = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 13 to w, which gives w = o + 17.\n2. Substitute o = t + 3 to w, which gives w = t + 20.\n3. Substitute t = m + 6 to w, which gives w = m + 26.\n4. Substitute m = u + 14 to w, which gives w = u + 40.\n5. Substitute u = p + 16 to w, which gives w = p + 56.\n6. Substitute p = 1 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 5400,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 7; p = 1; r = o + 13; o = t + 3; t = m + 6; c = h + 16; e = c + 10; k = l + 19; u = p + 16; m = u + 14; w = r + 4; l = p + 16; s = e + 18. Given that p = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 10", "i": "w + 14", "p": "i + 5", "f": "p + 8", "n": "f + 7", "j": "n + 3", "x": "y + 7", "z": "x + 3", "h": "z + 15", "u": "h + 2", "g": "u + 9", "q": "g + 2", "y": 20}, "premises": {"y": 20}, "target": "j"}, "answer": {"steps": [["n", "f + 7", "f + 10"], ["f", "p + 8", "p + 18"], ["p", "i + 5", "i + 23"], ["i", "w + 14", "w + 37"], ["w", "y + 10", "y + 47"], ["y", 20, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"y": 20}, "is_reverse": true}} | 5,401 | 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 = y + 7; w = y + 10; y = 20; p = i + 5; f = p + 8; h = z + 15; q = g + 2; n = f + 7; i = w + 14; g = u + 9; j = n + 3; u = h + 2; z = x + 3. If y = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 7 to j, which gives j = f + 10.\n2. Substitute f = p + 8 to j, which gives j = p + 18.\n3. Substitute p = i + 5 to j, which gives j = i + 23.\n4. Substitute i = w + 14 to j, which gives j = w + 37.\n5. Substitute w = y + 10 to j, which gives j = y + 47.\n6. Substitute y = 20 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 5401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 7; w = y + 10; y = 20; p = i + 5; f = p + 8; h = z + 15; q = g + 2; n = f + 7; i = w + 14; g = u + 9; j = n + 3; u = h + 2; z = x + 3. If y = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 13", "b": "z + 3", "m": "b + 20", "s": "m + 9", "u": "s + 6", "r": "u + 8", "k": "y + 4", "a": "k + 10", "o": "a + 19", "h": "o + 14", "p": "h + 18", "v": "p + 15", "y": 3}, "premises": {"y": 3}, "target": "r"}, "answer": {"steps": [["u", "s + 6", "s + 14"], ["s", "m + 9", "m + 23"], ["m", "b + 20", "b + 43"], ["b", "z + 3", "z + 46"], ["z", "y + 13", "y + 59"], ["y", 3, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"y": 3}, "is_reverse": true}} | 5,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 19; r = u + 8; k = y + 4; h = o + 14; p = h + 18; z = y + 13; m = b + 20; u = s + 6; b = z + 3; a = k + 10; y = 3; v = p + 15; s = m + 9. Given that y = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 6 to r, which gives r = s + 14.\n2. Substitute s = m + 9 to r, which gives r = m + 23.\n3. Substitute m = b + 20 to r, which gives r = b + 43.\n4. Substitute b = z + 3 to r, which gives r = z + 46.\n5. Substitute z = y + 13 to r, which gives r = y + 59.\n6. Substitute y = 3 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 5402,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 19; r = u + 8; k = y + 4; h = o + 14; p = h + 18; z = y + 13; m = b + 20; u = s + 6; b = z + 3; a = k + 10; y = 3; v = p + 15; s = m + 9. Given that y = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 3", "k": "y + 18", "o": "k + 12", "p": "o + 1", "x": "p + 6", "d": "x + 17", "j": "v + 14", "z": "j + 5", "f": "z + 13", "w": "f + 6", "c": "w + 1", "s": "c + 11", "v": 11}, "premises": {"v": 11}, "target": "d"}, "answer": {"steps": [["x", "p + 6", "p + 23"], ["p", "o + 1", "o + 24"], ["o", "k + 12", "k + 36"], ["k", "y + 18", "y + 54"], ["y", "v + 3", "v + 57"], ["v", 11, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"v": 11}, "is_reverse": true}} | 5,403 | 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 = f + 6; k = y + 18; o = k + 12; d = x + 17; s = c + 11; p = o + 1; z = j + 5; x = p + 6; j = v + 14; y = v + 3; c = w + 1; v = 11; f = z + 13. If v = 11, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 6 to d, which gives d = p + 23.\n2. Substitute p = o + 1 to d, which gives d = o + 24.\n3. Substitute o = k + 12 to d, which gives d = k + 36.\n4. Substitute k = y + 18 to d, which gives d = y + 54.\n5. Substitute y = v + 3 to d, which gives d = v + 57.\n6. Substitute v = 11 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 5403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 6; k = y + 18; o = k + 12; d = x + 17; s = c + 11; p = o + 1; z = j + 5; x = p + 6; j = v + 14; y = v + 3; c = w + 1; v = 11; f = z + 13. If v = 11, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 4", "q": "k + 5", "a": "q + 14", "b": "a + 8", "f": "b + 3", "e": "f + 19", "m": "p + 18", "u": "m + 14", "o": "u + 20", "d": "o + 9", "c": "d + 6", "l": "c + 17", "p": 9}, "premises": {"p": 9}, "target": "e"}, "answer": {"steps": [["f", "b + 3", "b + 22"], ["b", "a + 8", "a + 30"], ["a", "q + 14", "q + 44"], ["q", "k + 5", "k + 49"], ["k", "p + 4", "p + 53"], ["p", 9, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"p": 9}, "is_reverse": true}} | 5,404 | 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 = p + 18; l = c + 17; u = m + 14; a = q + 14; d = o + 9; b = a + 8; o = u + 20; k = p + 4; q = k + 5; c = d + 6; e = f + 19; p = 9; f = b + 3. If p = 9, what is the resulting 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 f = b + 3 to e, which gives e = b + 22.\n2. Substitute b = a + 8 to e, which gives e = a + 30.\n3. Substitute a = q + 14 to e, which gives e = q + 44.\n4. Substitute q = k + 5 to e, which gives e = k + 49.\n5. Substitute k = p + 4 to e, which gives e = p + 53.\n6. Substitute p = 9 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 5404,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 18; l = c + 17; u = m + 14; a = q + 14; d = o + 9; b = a + 8; o = u + 20; k = p + 4; q = k + 5; c = d + 6; e = f + 19; p = 9; f = b + 3. If p = 9, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 17", "g": "c + 9", "x": "g + 4", "l": "x + 11", "h": "l + 17", "f": "h + 10", "o": "v + 7", "r": "o + 3", "b": "r + 3", "u": "b + 17", "a": "u + 8", "w": "a + 3", "v": 18}, "premises": {"v": 18}, "target": "f"}, "answer": {"steps": [["h", "l + 17", "l + 27"], ["l", "x + 11", "x + 38"], ["x", "g + 4", "g + 42"], ["g", "c + 9", "c + 51"], ["c", "v + 17", "v + 68"], ["v", 18, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"v": 18}, "is_reverse": true}} | 5,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 3; u = b + 17; g = c + 9; f = h + 10; l = x + 11; v = 18; h = l + 17; x = g + 4; a = u + 8; c = v + 17; w = a + 3; r = o + 3; o = v + 7. Given that v = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 17 to f, which gives f = l + 27.\n2. Substitute l = x + 11 to f, which gives f = x + 38.\n3. Substitute x = g + 4 to f, which gives f = g + 42.\n4. Substitute g = c + 9 to f, which gives f = c + 51.\n5. Substitute c = v + 17 to f, which gives f = v + 68.\n6. Substitute v = 18 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 5405,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 3; u = b + 17; g = c + 9; f = h + 10; l = x + 11; v = 18; h = l + 17; x = g + 4; a = u + 8; c = v + 17; w = a + 3; r = o + 3; o = v + 7. Given that v = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 5", "w": "h + 11", "x": "w + 18", "f": "x + 10", "s": "f + 2", "i": "s + 19", "t": "u + 13", "e": "t + 13", "z": "e + 8", "m": "z + 8", "l": "m + 10", "b": "l + 11", "u": 7}, "premises": {"u": 7}, "target": "i"}, "answer": {"steps": [["s", "f + 2", "f + 21"], ["f", "x + 10", "x + 31"], ["x", "w + 18", "w + 49"], ["w", "h + 11", "h + 60"], ["h", "u + 5", "u + 65"], ["u", 7, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"u": 7}, "is_reverse": true}} | 5,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = m + 10; x = w + 18; z = e + 8; b = l + 11; w = h + 11; t = u + 13; f = x + 10; m = z + 8; u = 7; s = f + 2; h = u + 5; i = s + 19; e = t + 13. If u = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 2 to i, which gives i = f + 21.\n2. Substitute f = x + 10 to i, which gives i = x + 31.\n3. Substitute x = w + 18 to i, which gives i = w + 49.\n4. Substitute w = h + 11 to i, which gives i = h + 60.\n5. Substitute h = u + 5 to i, which gives i = u + 65.\n6. Substitute u = 7 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 5406,
"question": "Consider a system of variables where each variable is defined as follows: l = m + 10; x = w + 18; z = e + 8; b = l + 11; w = h + 11; t = u + 13; f = x + 10; m = z + 8; u = 7; s = f + 2; h = u + 5; i = s + 19; e = t + 13. If u = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 19", "w": "g + 13", "c": "w + 11", "x": "c + 2", "m": "x + 8", "e": "m + 16", "t": "z + 7", "b": "t + 19", "h": "b + 9", "n": "h + 20", "s": "n + 20", "d": "s + 6", "z": 4}, "premises": {"z": 4}, "target": "e"}, "answer": {"steps": [["m", "x + 8", "x + 24"], ["x", "c + 2", "c + 26"], ["c", "w + 11", "w + 37"], ["w", "g + 13", "g + 50"], ["g", "z + 19", "z + 69"], ["z", 4, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"z": 4}, "is_reverse": true}} | 5,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 20; d = s + 6; n = h + 20; h = b + 9; c = w + 11; e = m + 16; b = t + 19; g = z + 19; m = x + 8; x = c + 2; t = z + 7; z = 4; w = g + 13. Given that z = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 8 to e, which gives e = x + 24.\n2. Substitute x = c + 2 to e, which gives e = c + 26.\n3. Substitute c = w + 11 to e, which gives e = w + 37.\n4. Substitute w = g + 13 to e, which gives e = g + 50.\n5. Substitute g = z + 19 to e, which gives e = z + 69.\n6. Substitute z = 4 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 5407,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 20; d = s + 6; n = h + 20; h = b + 9; c = w + 11; e = m + 16; b = t + 19; g = z + 19; m = x + 8; x = c + 2; t = z + 7; z = 4; w = g + 13. Given that z = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 20", "t": "z + 1", "n": "t + 10", "r": "n + 8", "b": "r + 12", "h": "b + 2", "y": "v + 12", "f": "y + 1", "g": "f + 5", "u": "g + 16", "i": "u + 13", "a": "i + 7", "v": 10}, "premises": {"v": 10}, "target": "h"}, "answer": {"steps": [["b", "r + 12", "r + 14"], ["r", "n + 8", "n + 22"], ["n", "t + 10", "t + 32"], ["t", "z + 1", "z + 33"], ["z", "v + 20", "v + 53"], ["v", 10, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"v": 10}, "is_reverse": true}} | 5,408 | 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 = g + 16; n = t + 10; a = i + 7; t = z + 1; v = 10; r = n + 8; y = v + 12; z = v + 20; b = r + 12; g = f + 5; f = y + 1; h = b + 2; i = u + 13. If v = 10, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 12 to h, which gives h = r + 14.\n2. Substitute r = n + 8 to h, which gives h = n + 22.\n3. Substitute n = t + 10 to h, which gives h = t + 32.\n4. Substitute t = z + 1 to h, which gives h = z + 33.\n5. Substitute z = v + 20 to h, which gives h = v + 53.\n6. Substitute v = 10 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 5408,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 16; n = t + 10; a = i + 7; t = z + 1; v = 10; r = n + 8; y = v + 12; z = v + 20; b = r + 12; g = f + 5; f = y + 1; h = b + 2; i = u + 13. If v = 10, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 10", "b": "f + 10", "o": "b + 7", "w": "o + 20", "x": "w + 19", "v": "x + 20", "l": "i + 6", "d": "l + 19", "g": "d + 7", "m": "g + 7", "q": "m + 6", "n": "q + 15", "i": 16}, "premises": {"i": 16}, "target": "v"}, "answer": {"steps": [["x", "w + 19", "w + 39"], ["w", "o + 20", "o + 59"], ["o", "b + 7", "b + 66"], ["b", "f + 10", "f + 76"], ["f", "i + 10", "i + 86"], ["i", 16, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"i": 16}, "is_reverse": true}} | 5,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 20; d = l + 19; m = g + 7; g = d + 7; o = b + 7; i = 16; f = i + 10; n = q + 15; b = f + 10; l = i + 6; x = w + 19; v = x + 20; q = m + 6. If i = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 19 to v, which gives v = w + 39.\n2. Substitute w = o + 20 to v, which gives v = o + 59.\n3. Substitute o = b + 7 to v, which gives v = b + 66.\n4. Substitute b = f + 10 to v, which gives v = f + 76.\n5. Substitute f = i + 10 to v, which gives v = i + 86.\n6. Substitute i = 16 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 5409,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 20; d = l + 19; m = g + 7; g = d + 7; o = b + 7; i = 16; f = i + 10; n = q + 15; b = f + 10; l = i + 6; x = w + 19; v = x + 20; q = m + 6. If i = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 18", "n": "e + 8", "u": "n + 20", "s": "u + 6", "v": "s + 15", "i": "v + 13", "a": "t + 11", "x": "a + 17", "m": "x + 19", "y": "m + 17", "q": "y + 12", "z": "q + 18", "t": 16}, "premises": {"t": 16}, "target": "i"}, "answer": {"steps": [["v", "s + 15", "s + 28"], ["s", "u + 6", "u + 34"], ["u", "n + 20", "n + 54"], ["n", "e + 8", "e + 62"], ["e", "t + 18", "t + 80"], ["t", 16, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"t": 16}, "is_reverse": true}} | 5,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = v + 13; s = u + 6; n = e + 8; z = q + 18; m = x + 19; x = a + 17; q = y + 12; v = s + 15; t = 16; u = n + 20; y = m + 17; e = t + 18; a = t + 11. Given that t = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 15 to i, which gives i = s + 28.\n2. Substitute s = u + 6 to i, which gives i = u + 34.\n3. Substitute u = n + 20 to i, which gives i = n + 54.\n4. Substitute n = e + 8 to i, which gives i = e + 62.\n5. Substitute e = t + 18 to i, which gives i = t + 80.\n6. Substitute t = 16 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 5410,
"question": "Suppose a collection of variables is related by the following definitions: i = v + 13; s = u + 6; n = e + 8; z = q + 18; m = x + 19; x = a + 17; q = y + 12; v = s + 15; t = 16; u = n + 20; y = m + 17; e = t + 18; a = t + 11. Given that t = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 11", "n": "z + 14", "d": "n + 9", "h": "d + 2", "g": "h + 14", "c": "g + 11", "u": "x + 13", "i": "u + 18", "r": "i + 20", "e": "r + 9", "m": "e + 5", "p": "m + 2", "x": 18}, "premises": {"x": 18}, "target": "c"}, "answer": {"steps": [["g", "h + 14", "h + 25"], ["h", "d + 2", "d + 27"], ["d", "n + 9", "n + 36"], ["n", "z + 14", "z + 50"], ["z", "x + 11", "x + 61"], ["x", 18, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"x": 18}, "is_reverse": true}} | 5,411 | 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 + 18; m = e + 5; g = h + 14; x = 18; u = x + 13; p = m + 2; d = n + 9; z = x + 11; n = z + 14; c = g + 11; r = i + 20; h = d + 2; e = r + 9. If x = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 14 to c, which gives c = h + 25.\n2. Substitute h = d + 2 to c, which gives c = d + 27.\n3. Substitute d = n + 9 to c, which gives c = n + 36.\n4. Substitute n = z + 14 to c, which gives c = z + 50.\n5. Substitute z = x + 11 to c, which gives c = x + 61.\n6. Substitute x = 18 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 5411,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 18; m = e + 5; g = h + 14; x = 18; u = x + 13; p = m + 2; d = n + 9; z = x + 11; n = z + 14; c = g + 11; r = i + 20; h = d + 2; e = r + 9. If x = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 9", "p": "q + 17", "b": "p + 8", "g": "b + 5", "c": "g + 2", "z": "c + 11", "y": "d + 11", "m": "y + 3", "w": "m + 17", "e": "w + 7", "k": "e + 6", "s": "k + 17", "d": 1}, "premises": {"d": 1}, "target": "z"}, "answer": {"steps": [["c", "g + 2", "g + 13"], ["g", "b + 5", "b + 18"], ["b", "p + 8", "p + 26"], ["p", "q + 17", "q + 43"], ["q", "d + 9", "d + 52"], ["d", 1, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"d": 1}, "is_reverse": true}} | 5,412 | 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 = d + 11; p = q + 17; s = k + 17; c = g + 2; z = c + 11; e = w + 7; g = b + 5; w = m + 17; d = 1; b = p + 8; m = y + 3; k = e + 6; q = d + 9. If d = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 2 to z, which gives z = g + 13.\n2. Substitute g = b + 5 to z, which gives z = b + 18.\n3. Substitute b = p + 8 to z, which gives z = p + 26.\n4. Substitute p = q + 17 to z, which gives z = q + 43.\n5. Substitute q = d + 9 to z, which gives z = d + 52.\n6. Substitute d = 1 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 5412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = d + 11; p = q + 17; s = k + 17; c = g + 2; z = c + 11; e = w + 7; g = b + 5; w = m + 17; d = 1; b = p + 8; m = y + 3; k = e + 6; q = d + 9. If d = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 1", "n": "w + 1", "p": "n + 3", "l": "p + 7", "c": "l + 16", "i": "c + 15", "b": "q + 17", "s": "b + 6", "d": "s + 20", "m": "d + 18", "o": "m + 14", "k": "o + 3", "q": 11}, "premises": {"q": 11}, "target": "i"}, "answer": {"steps": [["c", "l + 16", "l + 31"], ["l", "p + 7", "p + 38"], ["p", "n + 3", "n + 41"], ["n", "w + 1", "w + 42"], ["w", "q + 1", "q + 43"], ["q", 11, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"q": 11}, "is_reverse": true}} | 5,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = w + 1; k = o + 3; i = c + 15; w = q + 1; p = n + 3; d = s + 20; q = 11; c = l + 16; l = p + 7; b = q + 17; o = m + 14; m = d + 18; s = b + 6. If q = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 16 to i, which gives i = l + 31.\n2. Substitute l = p + 7 to i, which gives i = p + 38.\n3. Substitute p = n + 3 to i, which gives i = n + 41.\n4. Substitute n = w + 1 to i, which gives i = w + 42.\n5. Substitute w = q + 1 to i, which gives i = q + 43.\n6. Substitute q = 11 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 5413,
"question": "Consider a system of variables where each variable is defined as follows: n = w + 1; k = o + 3; i = c + 15; w = q + 1; p = n + 3; d = s + 20; q = 11; c = l + 16; l = p + 7; b = q + 17; o = m + 14; m = d + 18; s = b + 6. If q = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 2", "v": "o + 7", "z": "v + 3", "n": "z + 19", "s": "n + 10", "c": "s + 15", "g": "h + 3", "w": "g + 18", "b": "w + 15", "k": "b + 2", "m": "k + 3", "a": "m + 15", "h": 19}, "premises": {"h": 19}, "target": "c"}, "answer": {"steps": [["s", "n + 10", "n + 25"], ["n", "z + 19", "z + 44"], ["z", "v + 3", "v + 47"], ["v", "o + 7", "o + 54"], ["o", "h + 2", "h + 56"], ["h", 19, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"h": 19}, "is_reverse": true}} | 5,414 | 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 = w + 15; w = g + 18; g = h + 3; h = 19; z = v + 3; v = o + 7; n = z + 19; s = n + 10; c = s + 15; o = h + 2; a = m + 15; k = b + 2; m = k + 3. If h = 19, 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 s = n + 10 to c, which gives c = n + 25.\n2. Substitute n = z + 19 to c, which gives c = z + 44.\n3. Substitute z = v + 3 to c, which gives c = v + 47.\n4. Substitute v = o + 7 to c, which gives c = o + 54.\n5. Substitute o = h + 2 to c, which gives c = h + 56.\n6. Substitute h = 19 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 5414,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 15; w = g + 18; g = h + 3; h = 19; z = v + 3; v = o + 7; n = z + 19; s = n + 10; c = s + 15; o = h + 2; a = m + 15; k = b + 2; m = k + 3. If h = 19, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 10", "q": "m + 8", "v": "q + 7", "h": "v + 2", "t": "h + 18", "z": "t + 1", "u": "k + 8", "r": "u + 11", "p": "r + 13", "n": "p + 7", "g": "n + 12", "y": "g + 4", "k": 3}, "premises": {"k": 3}, "target": "z"}, "answer": {"steps": [["t", "h + 18", "h + 19"], ["h", "v + 2", "v + 21"], ["v", "q + 7", "q + 28"], ["q", "m + 8", "m + 36"], ["m", "k + 10", "k + 46"], ["k", 3, "49"]], "target_var_name": "z", "target_value": 49, "value_dict": {"k": 3}, "is_reverse": true}} | 5,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 7; m = k + 10; h = v + 2; z = t + 1; t = h + 18; v = q + 7; g = n + 12; y = g + 4; q = m + 8; u = k + 8; p = r + 13; r = u + 11; k = 3. Given that k = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 18 to z, which gives z = h + 19.\n2. Substitute h = v + 2 to z, which gives z = v + 21.\n3. Substitute v = q + 7 to z, which gives z = q + 28.\n4. Substitute q = m + 8 to z, which gives z = m + 36.\n5. Substitute m = k + 10 to z, which gives z = k + 46.\n6. Substitute k = 3 to z, which gives z = 49.\n\nThus, the final answer is z = \\boxed{49}.",
"index": 5415,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 7; m = k + 10; h = v + 2; z = t + 1; t = h + 18; v = q + 7; g = n + 12; y = g + 4; q = m + 8; u = k + 8; p = r + 13; r = u + 11; k = 3. Given that k = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 13", "y": "t + 10", "u": "y + 16", "s": "u + 15", "v": "s + 4", "m": "v + 11", "r": "f + 20", "l": "r + 3", "o": "l + 2", "i": "o + 17", "p": "i + 1", "w": "p + 12", "f": 4}, "premises": {"f": 4}, "target": "m"}, "answer": {"steps": [["v", "s + 4", "s + 15"], ["s", "u + 15", "u + 30"], ["u", "y + 16", "y + 46"], ["y", "t + 10", "t + 56"], ["t", "f + 13", "f + 69"], ["f", 4, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"f": 4}, "is_reverse": true}} | 5,416 | 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 = v + 11; o = l + 2; w = p + 12; u = y + 16; s = u + 15; v = s + 4; p = i + 1; y = t + 10; t = f + 13; f = 4; r = f + 20; l = r + 3; i = o + 17. If f = 4, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 4 to m, which gives m = s + 15.\n2. Substitute s = u + 15 to m, which gives m = u + 30.\n3. Substitute u = y + 16 to m, which gives m = y + 46.\n4. Substitute y = t + 10 to m, which gives m = t + 56.\n5. Substitute t = f + 13 to m, which gives m = f + 69.\n6. Substitute f = 4 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 5416,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 11; o = l + 2; w = p + 12; u = y + 16; s = u + 15; v = s + 4; p = i + 1; y = t + 10; t = f + 13; f = 4; r = f + 20; l = r + 3; i = o + 17. If f = 4, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 17", "p": "y + 1", "a": "p + 15", "l": "a + 8", "n": "l + 17", "d": "n + 2", "g": "x + 15", "v": "g + 1", "u": "v + 19", "f": "u + 1", "i": "f + 8", "q": "i + 5", "x": 13}, "premises": {"x": 13}, "target": "d"}, "answer": {"steps": [["n", "l + 17", "l + 19"], ["l", "a + 8", "a + 27"], ["a", "p + 15", "p + 42"], ["p", "y + 1", "y + 43"], ["y", "x + 17", "x + 60"], ["x", 13, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"x": 13}, "is_reverse": true}} | 5,417 | 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 = x + 17; f = u + 1; x = 13; v = g + 1; g = x + 15; d = n + 2; u = v + 19; p = y + 1; i = f + 8; q = i + 5; l = a + 8; n = l + 17; a = p + 15. If x = 13, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 17 to d, which gives d = l + 19.\n2. Substitute l = a + 8 to d, which gives d = a + 27.\n3. Substitute a = p + 15 to d, which gives d = p + 42.\n4. Substitute p = y + 1 to d, which gives d = y + 43.\n5. Substitute y = x + 17 to d, which gives d = x + 60.\n6. Substitute x = 13 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 5417,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 17; f = u + 1; x = 13; v = g + 1; g = x + 15; d = n + 2; u = v + 19; p = y + 1; i = f + 8; q = i + 5; l = a + 8; n = l + 17; a = p + 15. If x = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 6", "e": "o + 20", "n": "e + 1", "k": "n + 6", "r": "k + 16", "f": "r + 5", "h": "j + 16", "b": "h + 16", "s": "b + 4", "a": "s + 11", "i": "a + 5", "l": "i + 19", "j": 4}, "premises": {"j": 4}, "target": "f"}, "answer": {"steps": [["r", "k + 16", "k + 21"], ["k", "n + 6", "n + 27"], ["n", "e + 1", "e + 28"], ["e", "o + 20", "o + 48"], ["o", "j + 6", "j + 54"], ["j", 4, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"j": 4}, "is_reverse": true}} | 5,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 6; i = a + 5; s = b + 4; h = j + 16; r = k + 16; j = 4; l = i + 19; n = e + 1; k = n + 6; f = r + 5; b = h + 16; a = s + 11; e = o + 20. If j = 4, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 16 to f, which gives f = k + 21.\n2. Substitute k = n + 6 to f, which gives f = n + 27.\n3. Substitute n = e + 1 to f, which gives f = e + 28.\n4. Substitute e = o + 20 to f, which gives f = o + 48.\n5. Substitute o = j + 6 to f, which gives f = j + 54.\n6. Substitute j = 4 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 5418,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 6; i = a + 5; s = b + 4; h = j + 16; r = k + 16; j = 4; l = i + 19; n = e + 1; k = n + 6; f = r + 5; b = h + 16; a = s + 11; e = o + 20. If j = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 9", "j": "y + 13", "o": "j + 13", "a": "o + 14", "p": "a + 9", "t": "p + 7", "h": "e + 16", "n": "h + 14", "s": "n + 19", "b": "s + 20", "r": "b + 20", "f": "r + 19", "e": 3}, "premises": {"e": 3}, "target": "t"}, "answer": {"steps": [["p", "a + 9", "a + 16"], ["a", "o + 14", "o + 30"], ["o", "j + 13", "j + 43"], ["j", "y + 13", "y + 56"], ["y", "e + 9", "e + 65"], ["e", 3, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"e": 3}, "is_reverse": true}} | 5,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 16; o = j + 13; b = s + 20; t = p + 7; f = r + 19; r = b + 20; n = h + 14; e = 3; a = o + 14; s = n + 19; y = e + 9; j = y + 13; p = a + 9. Given that e = 3, find the 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 p = a + 9 to t, which gives t = a + 16.\n2. Substitute a = o + 14 to t, which gives t = o + 30.\n3. Substitute o = j + 13 to t, which gives t = j + 43.\n4. Substitute j = y + 13 to t, which gives t = y + 56.\n5. Substitute y = e + 9 to t, which gives t = e + 65.\n6. Substitute e = 3 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 5419,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 16; o = j + 13; b = s + 20; t = p + 7; f = r + 19; r = b + 20; n = h + 14; e = 3; a = o + 14; s = n + 19; y = e + 9; j = y + 13; p = a + 9. Given that e = 3, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 12", "l": "d + 10", "e": "l + 15", "u": "e + 6", "n": "u + 16", "t": "n + 7", "i": "w + 8", "r": "i + 17", "a": "r + 14", "y": "a + 9", "k": "y + 4", "q": "k + 9", "w": 2}, "premises": {"w": 2}, "target": "t"}, "answer": {"steps": [["n", "u + 16", "u + 23"], ["u", "e + 6", "e + 29"], ["e", "l + 15", "l + 44"], ["l", "d + 10", "d + 54"], ["d", "w + 12", "w + 66"], ["w", 2, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"w": 2}, "is_reverse": true}} | 5,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 4; t = n + 7; y = a + 9; n = u + 16; r = i + 17; d = w + 12; i = w + 8; e = l + 15; q = k + 9; l = d + 10; u = e + 6; w = 2; a = r + 14. Given that w = 2, find the 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 n = u + 16 to t, which gives t = u + 23.\n2. Substitute u = e + 6 to t, which gives t = e + 29.\n3. Substitute e = l + 15 to t, which gives t = l + 44.\n4. Substitute l = d + 10 to t, which gives t = d + 54.\n5. Substitute d = w + 12 to t, which gives t = w + 66.\n6. Substitute w = 2 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 5420,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 4; t = n + 7; y = a + 9; n = u + 16; r = i + 17; d = w + 12; i = w + 8; e = l + 15; q = k + 9; l = d + 10; u = e + 6; w = 2; a = r + 14. Given that w = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 14", "l": "o + 9", "z": "l + 13", "w": "z + 17", "j": "w + 6", "r": "j + 20", "q": "i + 18", "p": "q + 9", "k": "p + 6", "a": "k + 2", "x": "a + 19", "t": "x + 7", "i": 1}, "premises": {"i": 1}, "target": "r"}, "answer": {"steps": [["j", "w + 6", "w + 26"], ["w", "z + 17", "z + 43"], ["z", "l + 13", "l + 56"], ["l", "o + 9", "o + 65"], ["o", "i + 14", "i + 79"], ["i", 1, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"i": 1}, "is_reverse": true}} | 5,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 19; j = w + 6; t = x + 7; q = i + 18; l = o + 9; z = l + 13; a = k + 2; r = j + 20; k = p + 6; o = i + 14; i = 1; w = z + 17; p = q + 9. Given that i = 1, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 6 to r, which gives r = w + 26.\n2. Substitute w = z + 17 to r, which gives r = z + 43.\n3. Substitute z = l + 13 to r, which gives r = l + 56.\n4. Substitute l = o + 9 to r, which gives r = o + 65.\n5. Substitute o = i + 14 to r, which gives r = i + 79.\n6. Substitute i = 1 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 5421,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 19; j = w + 6; t = x + 7; q = i + 18; l = o + 9; z = l + 13; a = k + 2; r = j + 20; k = p + 6; o = i + 14; i = 1; w = z + 17; p = q + 9. Given that i = 1, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 7", "v": "u + 19", "x": "v + 11", "q": "x + 13", "r": "q + 4", "w": "r + 6", "d": "n + 8", "f": "d + 16", "g": "f + 2", "k": "g + 19", "e": "k + 8", "o": "e + 2", "n": 11}, "premises": {"n": 11}, "target": "w"}, "answer": {"steps": [["r", "q + 4", "q + 10"], ["q", "x + 13", "x + 23"], ["x", "v + 11", "v + 34"], ["v", "u + 19", "u + 53"], ["u", "n + 7", "n + 60"], ["n", 11, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"n": 11}, "is_reverse": true}} | 5,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 19; f = d + 16; q = x + 13; r = q + 4; d = n + 8; o = e + 2; v = u + 19; e = k + 8; g = f + 2; n = 11; u = n + 7; x = v + 11; w = r + 6. If n = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 4 to w, which gives w = q + 10.\n2. Substitute q = x + 13 to w, which gives w = x + 23.\n3. Substitute x = v + 11 to w, which gives w = v + 34.\n4. Substitute v = u + 19 to w, which gives w = u + 53.\n5. Substitute u = n + 7 to w, which gives w = n + 60.\n6. Substitute n = 11 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 5422,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 19; f = d + 16; q = x + 13; r = q + 4; d = n + 8; o = e + 2; v = u + 19; e = k + 8; g = f + 2; n = 11; u = n + 7; x = v + 11; w = r + 6. If n = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 1", "o": "f + 11", "p": "o + 1", "m": "p + 2", "b": "m + 5", "h": "b + 13", "q": "x + 16", "s": "q + 10", "n": "s + 4", "e": "n + 8", "r": "e + 9", "k": "r + 4", "x": 12}, "premises": {"x": 12}, "target": "h"}, "answer": {"steps": [["b", "m + 5", "m + 18"], ["m", "p + 2", "p + 20"], ["p", "o + 1", "o + 21"], ["o", "f + 11", "f + 32"], ["f", "x + 1", "x + 33"], ["x", 12, "45"]], "target_var_name": "h", "target_value": 45, "value_dict": {"x": 12}, "is_reverse": true}} | 5,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 4; k = r + 4; p = o + 1; s = q + 10; f = x + 1; q = x + 16; x = 12; o = f + 11; m = p + 2; b = m + 5; e = n + 8; h = b + 13; r = e + 9. If x = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 5 to h, which gives h = m + 18.\n2. Substitute m = p + 2 to h, which gives h = p + 20.\n3. Substitute p = o + 1 to h, which gives h = o + 21.\n4. Substitute o = f + 11 to h, which gives h = f + 32.\n5. Substitute f = x + 1 to h, which gives h = x + 33.\n6. Substitute x = 12 to h, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 5423,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 4; k = r + 4; p = o + 1; s = q + 10; f = x + 1; q = x + 16; x = 12; o = f + 11; m = p + 2; b = m + 5; e = n + 8; h = b + 13; r = e + 9. If x = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 18", "y": "f + 20", "h": "y + 8", "e": "h + 12", "s": "e + 2", "m": "s + 8", "a": "k + 14", "z": "a + 14", "u": "z + 12", "j": "u + 7", "t": "j + 13", "v": "t + 15", "k": 16}, "premises": {"k": 16}, "target": "m"}, "answer": {"steps": [["s", "e + 2", "e + 10"], ["e", "h + 12", "h + 22"], ["h", "y + 8", "y + 30"], ["y", "f + 20", "f + 50"], ["f", "k + 18", "k + 68"], ["k", 16, "84"]], "target_var_name": "m", "target_value": 84, "value_dict": {"k": 16}, "is_reverse": true}} | 5,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 15; e = h + 12; a = k + 14; s = e + 2; z = a + 14; t = j + 13; k = 16; u = z + 12; j = u + 7; y = f + 20; f = k + 18; h = y + 8; m = s + 8. If k = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 2 to m, which gives m = e + 10.\n2. Substitute e = h + 12 to m, which gives m = h + 22.\n3. Substitute h = y + 8 to m, which gives m = y + 30.\n4. Substitute y = f + 20 to m, which gives m = f + 50.\n5. Substitute f = k + 18 to m, which gives m = k + 68.\n6. Substitute k = 16 to m, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 5424,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 15; e = h + 12; a = k + 14; s = e + 2; z = a + 14; t = j + 13; k = 16; u = z + 12; j = u + 7; y = f + 20; f = k + 18; h = y + 8; m = s + 8. If k = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 12", "d": "a + 17", "x": "d + 6", "h": "x + 9", "j": "h + 14", "l": "j + 4", "n": "i + 17", "p": "n + 4", "w": "p + 12", "f": "w + 18", "q": "f + 16", "c": "q + 13", "i": 13}, "premises": {"i": 13}, "target": "l"}, "answer": {"steps": [["j", "h + 14", "h + 18"], ["h", "x + 9", "x + 27"], ["x", "d + 6", "d + 33"], ["d", "a + 17", "a + 50"], ["a", "i + 12", "i + 62"], ["i", 13, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"i": 13}, "is_reverse": true}} | 5,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 9; i = 13; x = d + 6; l = j + 4; q = f + 16; p = n + 4; a = i + 12; w = p + 12; c = q + 13; j = h + 14; d = a + 17; f = w + 18; n = i + 17. Given that i = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 14 to l, which gives l = h + 18.\n2. Substitute h = x + 9 to l, which gives l = x + 27.\n3. Substitute x = d + 6 to l, which gives l = d + 33.\n4. Substitute d = a + 17 to l, which gives l = a + 50.\n5. Substitute a = i + 12 to l, which gives l = i + 62.\n6. Substitute i = 13 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 5425,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 9; i = 13; x = d + 6; l = j + 4; q = f + 16; p = n + 4; a = i + 12; w = p + 12; c = q + 13; j = h + 14; d = a + 17; f = w + 18; n = i + 17. Given that i = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 19", "g": "u + 2", "n": "g + 20", "e": "n + 20", "x": "e + 1", "w": "x + 19", "m": "y + 2", "j": "m + 1", "l": "j + 1", "q": "l + 15", "c": "q + 16", "p": "c + 8", "y": 10}, "premises": {"y": 10}, "target": "w"}, "answer": {"steps": [["x", "e + 1", "e + 20"], ["e", "n + 20", "n + 40"], ["n", "g + 20", "g + 60"], ["g", "u + 2", "u + 62"], ["u", "y + 19", "y + 81"], ["y", 10, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"y": 10}, "is_reverse": true}} | 5,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 1; p = c + 8; g = u + 2; u = y + 19; y = 10; e = n + 20; n = g + 20; j = m + 1; x = e + 1; w = x + 19; q = l + 15; c = q + 16; m = y + 2. If y = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 1 to w, which gives w = e + 20.\n2. Substitute e = n + 20 to w, which gives w = n + 40.\n3. Substitute n = g + 20 to w, which gives w = g + 60.\n4. Substitute g = u + 2 to w, which gives w = u + 62.\n5. Substitute u = y + 19 to w, which gives w = y + 81.\n6. Substitute y = 10 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 5426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 1; p = c + 8; g = u + 2; u = y + 19; y = 10; e = n + 20; n = g + 20; j = m + 1; x = e + 1; w = x + 19; q = l + 15; c = q + 16; m = y + 2. If y = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 20", "n": "j + 5", "h": "n + 13", "k": "h + 14", "y": "k + 19", "r": "y + 7", "i": "l + 10", "u": "i + 17", "t": "u + 15", "x": "t + 15", "e": "x + 19", "z": "e + 15", "l": 16}, "premises": {"l": 16}, "target": "r"}, "answer": {"steps": [["y", "k + 19", "k + 26"], ["k", "h + 14", "h + 40"], ["h", "n + 13", "n + 53"], ["n", "j + 5", "j + 58"], ["j", "l + 20", "l + 78"], ["l", 16, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"l": 16}, "is_reverse": true}} | 5,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 16; h = n + 13; e = x + 19; j = l + 20; n = j + 5; r = y + 7; x = t + 15; z = e + 15; t = u + 15; y = k + 19; k = h + 14; u = i + 17; i = l + 10. Given that l = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 19 to r, which gives r = k + 26.\n2. Substitute k = h + 14 to r, which gives r = h + 40.\n3. Substitute h = n + 13 to r, which gives r = n + 53.\n4. Substitute n = j + 5 to r, which gives r = j + 58.\n5. Substitute j = l + 20 to r, which gives r = l + 78.\n6. Substitute l = 16 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 5427,
"question": "Suppose a collection of variables is related by the following definitions: l = 16; h = n + 13; e = x + 19; j = l + 20; n = j + 5; r = y + 7; x = t + 15; z = e + 15; t = u + 15; y = k + 19; k = h + 14; u = i + 17; i = l + 10. Given that l = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 11", "f": "a + 1", "r": "f + 1", "u": "r + 11", "l": "u + 2", "i": "l + 7", "z": "m + 3", "p": "z + 6", "d": "p + 10", "h": "d + 18", "v": "h + 5", "w": "v + 3", "m": 11}, "premises": {"m": 11}, "target": "i"}, "answer": {"steps": [["l", "u + 2", "u + 9"], ["u", "r + 11", "r + 20"], ["r", "f + 1", "f + 21"], ["f", "a + 1", "a + 22"], ["a", "m + 11", "m + 33"], ["m", 11, "44"]], "target_var_name": "i", "target_value": 44, "value_dict": {"m": 11}, "is_reverse": true}} | 5,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 1; v = h + 5; w = v + 3; a = m + 11; f = a + 1; l = u + 2; i = l + 7; m = 11; p = z + 6; u = r + 11; z = m + 3; h = d + 18; d = p + 10. If m = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 2 to i, which gives i = u + 9.\n2. Substitute u = r + 11 to i, which gives i = r + 20.\n3. Substitute r = f + 1 to i, which gives i = f + 21.\n4. Substitute f = a + 1 to i, which gives i = a + 22.\n5. Substitute a = m + 11 to i, which gives i = m + 33.\n6. Substitute m = 11 to i, which gives i = 44.\n\nThus, the final answer is i = \\boxed{44}.",
"index": 5428,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 1; v = h + 5; w = v + 3; a = m + 11; f = a + 1; l = u + 2; i = l + 7; m = 11; p = z + 6; u = r + 11; z = m + 3; h = d + 18; d = p + 10. If m = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 4", "x": "d + 6", "e": "x + 5", "z": "e + 9", "c": "z + 13", "p": "c + 11", "k": "o + 8", "t": "k + 11", "r": "t + 10", "h": "r + 3", "w": "h + 1", "l": "w + 18", "o": 1}, "premises": {"o": 1}, "target": "p"}, "answer": {"steps": [["c", "z + 13", "z + 24"], ["z", "e + 9", "e + 33"], ["e", "x + 5", "x + 38"], ["x", "d + 6", "d + 44"], ["d", "o + 4", "o + 48"], ["o", 1, "49"]], "target_var_name": "p", "target_value": 49, "value_dict": {"o": 1}, "is_reverse": true}} | 5,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 10; h = r + 3; c = z + 13; w = h + 1; k = o + 8; d = o + 4; o = 1; p = c + 11; e = x + 5; l = w + 18; z = e + 9; x = d + 6; t = k + 11. If o = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 13 to p, which gives p = z + 24.\n2. Substitute z = e + 9 to p, which gives p = e + 33.\n3. Substitute e = x + 5 to p, which gives p = x + 38.\n4. Substitute x = d + 6 to p, which gives p = d + 44.\n5. Substitute d = o + 4 to p, which gives p = o + 48.\n6. Substitute o = 1 to p, which gives p = 49.\n\nThus, the final answer is p = \\boxed{49}.",
"index": 5429,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 10; h = r + 3; c = z + 13; w = h + 1; k = o + 8; d = o + 4; o = 1; p = c + 11; e = x + 5; l = w + 18; z = e + 9; x = d + 6; t = k + 11. If o = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 2", "y": "b + 6", "f": "y + 19", "i": "f + 12", "v": "i + 3", "c": "v + 1", "q": "e + 4", "n": "q + 4", "o": "n + 4", "t": "o + 11", "h": "t + 9", "k": "h + 11", "e": 15}, "premises": {"e": 15}, "target": "c"}, "answer": {"steps": [["v", "i + 3", "i + 4"], ["i", "f + 12", "f + 16"], ["f", "y + 19", "y + 35"], ["y", "b + 6", "b + 41"], ["b", "e + 2", "e + 43"], ["e", 15, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"e": 15}, "is_reverse": true}} | 5,430 | 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 = y + 19; h = t + 9; q = e + 4; y = b + 6; v = i + 3; t = o + 11; i = f + 12; k = h + 11; n = q + 4; e = 15; o = n + 4; b = e + 2; c = v + 1. If e = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 3 to c, which gives c = i + 4.\n2. Substitute i = f + 12 to c, which gives c = f + 16.\n3. Substitute f = y + 19 to c, which gives c = y + 35.\n4. Substitute y = b + 6 to c, which gives c = b + 41.\n5. Substitute b = e + 2 to c, which gives c = e + 43.\n6. Substitute e = 15 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 5430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 19; h = t + 9; q = e + 4; y = b + 6; v = i + 3; t = o + 11; i = f + 12; k = h + 11; n = q + 4; e = 15; o = n + 4; b = e + 2; c = v + 1. If e = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 5", "b": "h + 10", "k": "b + 11", "c": "k + 4", "u": "c + 9", "r": "u + 4", "n": "q + 17", "x": "n + 7", "p": "x + 15", "y": "p + 10", "l": "y + 11", "m": "l + 13", "q": 8}, "premises": {"q": 8}, "target": "r"}, "answer": {"steps": [["u", "c + 9", "c + 13"], ["c", "k + 4", "k + 17"], ["k", "b + 11", "b + 28"], ["b", "h + 10", "h + 38"], ["h", "q + 5", "q + 43"], ["q", 8, "51"]], "target_var_name": "r", "target_value": 51, "value_dict": {"q": 8}, "is_reverse": true}} | 5,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 5; p = x + 15; l = y + 11; n = q + 17; r = u + 4; y = p + 10; c = k + 4; k = b + 11; u = c + 9; m = l + 13; q = 8; x = n + 7; b = h + 10. Given that q = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 9 to r, which gives r = c + 13.\n2. Substitute c = k + 4 to r, which gives r = k + 17.\n3. Substitute k = b + 11 to r, which gives r = b + 28.\n4. Substitute b = h + 10 to r, which gives r = h + 38.\n5. Substitute h = q + 5 to r, which gives r = q + 43.\n6. Substitute q = 8 to r, which gives r = 51.\n\nThus, the final answer is r = \\boxed{51}.",
"index": 5431,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 5; p = x + 15; l = y + 11; n = q + 17; r = u + 4; y = p + 10; c = k + 4; k = b + 11; u = c + 9; m = l + 13; q = 8; x = n + 7; b = h + 10. Given that q = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 16", "m": "e + 2", "u": "m + 7", "r": "u + 20", "x": "r + 15", "c": "x + 15", "s": "j + 12", "t": "s + 20", "k": "t + 16", "g": "k + 4", "b": "g + 10", "n": "b + 19", "j": 11}, "premises": {"j": 11}, "target": "c"}, "answer": {"steps": [["x", "r + 15", "r + 30"], ["r", "u + 20", "u + 50"], ["u", "m + 7", "m + 57"], ["m", "e + 2", "e + 59"], ["e", "j + 16", "j + 75"], ["j", 11, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"j": 11}, "is_reverse": true}} | 5,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 10; r = u + 20; s = j + 12; c = x + 15; k = t + 16; n = b + 19; m = e + 2; t = s + 20; j = 11; e = j + 16; u = m + 7; g = k + 4; x = r + 15. Given that j = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 15 to c, which gives c = r + 30.\n2. Substitute r = u + 20 to c, which gives c = u + 50.\n3. Substitute u = m + 7 to c, which gives c = m + 57.\n4. Substitute m = e + 2 to c, which gives c = e + 59.\n5. Substitute e = j + 16 to c, which gives c = j + 75.\n6. Substitute j = 11 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 5432,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 10; r = u + 20; s = j + 12; c = x + 15; k = t + 16; n = b + 19; m = e + 2; t = s + 20; j = 11; e = j + 16; u = m + 7; g = k + 4; x = r + 15. Given that j = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 20", "q": "b + 11", "j": "q + 15", "k": "j + 3", "y": "k + 7", "n": "y + 11", "g": "u + 11", "f": "g + 18", "s": "f + 12", "d": "s + 11", "e": "d + 8", "z": "e + 13", "u": 2}, "premises": {"u": 2}, "target": "n"}, "answer": {"steps": [["y", "k + 7", "k + 18"], ["k", "j + 3", "j + 21"], ["j", "q + 15", "q + 36"], ["q", "b + 11", "b + 47"], ["b", "u + 20", "u + 67"], ["u", 2, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"u": 2}, "is_reverse": true}} | 5,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = e + 13; b = u + 20; d = s + 11; j = q + 15; e = d + 8; k = j + 3; u = 2; g = u + 11; y = k + 7; q = b + 11; n = y + 11; s = f + 12; f = g + 18. If u = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 7 to n, which gives n = k + 18.\n2. Substitute k = j + 3 to n, which gives n = j + 21.\n3. Substitute j = q + 15 to n, which gives n = q + 36.\n4. Substitute q = b + 11 to n, which gives n = b + 47.\n5. Substitute b = u + 20 to n, which gives n = u + 67.\n6. Substitute u = 2 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 5433,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 13; b = u + 20; d = s + 11; j = q + 15; e = d + 8; k = j + 3; u = 2; g = u + 11; y = k + 7; q = b + 11; n = y + 11; s = f + 12; f = g + 18. If u = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 15", "a": "w + 14", "q": "a + 16", "j": "q + 17", "n": "j + 20", "m": "n + 16", "v": "r + 6", "l": "v + 3", "d": "l + 8", "g": "d + 2", "p": "g + 5", "u": "p + 17", "r": 2}, "premises": {"r": 2}, "target": "m"}, "answer": {"steps": [["n", "j + 20", "j + 36"], ["j", "q + 17", "q + 53"], ["q", "a + 16", "a + 69"], ["a", "w + 14", "w + 83"], ["w", "r + 15", "r + 98"], ["r", 2, "100"]], "target_var_name": "m", "target_value": 100, "value_dict": {"r": 2}, "is_reverse": true}} | 5,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 17; n = j + 20; r = 2; g = d + 2; a = w + 14; l = v + 3; d = l + 8; q = a + 16; j = q + 17; p = g + 5; m = n + 16; v = r + 6; w = r + 15. Given that r = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 20 to m, which gives m = j + 36.\n2. Substitute j = q + 17 to m, which gives m = q + 53.\n3. Substitute q = a + 16 to m, which gives m = a + 69.\n4. Substitute a = w + 14 to m, which gives m = w + 83.\n5. Substitute w = r + 15 to m, which gives m = r + 98.\n6. Substitute r = 2 to m, which gives m = 100.\n\nThus, the final answer is m = \\boxed{100}.",
"index": 5434,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 17; n = j + 20; r = 2; g = d + 2; a = w + 14; l = v + 3; d = l + 8; q = a + 16; j = q + 17; p = g + 5; m = n + 16; v = r + 6; w = r + 15. Given that r = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 1", "j": "y + 10", "a": "j + 12", "l": "a + 5", "t": "l + 17", "q": "t + 17", "n": "x + 1", "w": "n + 7", "c": "w + 14", "u": "c + 19", "z": "u + 9", "g": "z + 2", "x": 10}, "premises": {"x": 10}, "target": "q"}, "answer": {"steps": [["t", "l + 17", "l + 34"], ["l", "a + 5", "a + 39"], ["a", "j + 12", "j + 51"], ["j", "y + 10", "y + 61"], ["y", "x + 1", "x + 62"], ["x", 10, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"x": 10}, "is_reverse": true}} | 5,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = j + 12; z = u + 9; y = x + 1; l = a + 5; x = 10; t = l + 17; n = x + 1; u = c + 19; j = y + 10; c = w + 14; w = n + 7; g = z + 2; q = t + 17. Given that x = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 17 to q, which gives q = l + 34.\n2. Substitute l = a + 5 to q, which gives q = a + 39.\n3. Substitute a = j + 12 to q, which gives q = j + 51.\n4. Substitute j = y + 10 to q, which gives q = y + 61.\n5. Substitute y = x + 1 to q, which gives q = x + 62.\n6. Substitute x = 10 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 5435,
"question": "Suppose a collection of variables is related by the following definitions: a = j + 12; z = u + 9; y = x + 1; l = a + 5; x = 10; t = l + 17; n = x + 1; u = c + 19; j = y + 10; c = w + 14; w = n + 7; g = z + 2; q = t + 17. Given that x = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 2", "r": "d + 3", "c": "r + 14", "o": "c + 15", "e": "o + 8", "h": "e + 19", "z": "x + 17", "p": "z + 15", "b": "p + 4", "w": "b + 18", "u": "w + 4", "t": "u + 13", "x": 18}, "premises": {"x": 18}, "target": "h"}, "answer": {"steps": [["e", "o + 8", "o + 27"], ["o", "c + 15", "c + 42"], ["c", "r + 14", "r + 56"], ["r", "d + 3", "d + 59"], ["d", "x + 2", "x + 61"], ["x", 18, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"x": 18}, "is_reverse": true}} | 5,436 | 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 = x + 17; u = w + 4; d = x + 2; b = p + 4; w = b + 18; t = u + 13; c = r + 14; e = o + 8; x = 18; o = c + 15; h = e + 19; r = d + 3; p = z + 15. If x = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 8 to h, which gives h = o + 27.\n2. Substitute o = c + 15 to h, which gives h = c + 42.\n3. Substitute c = r + 14 to h, which gives h = r + 56.\n4. Substitute r = d + 3 to h, which gives h = d + 59.\n5. Substitute d = x + 2 to h, which gives h = x + 61.\n6. Substitute x = 18 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 5436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 17; u = w + 4; d = x + 2; b = p + 4; w = b + 18; t = u + 13; c = r + 14; e = o + 8; x = 18; o = c + 15; h = e + 19; r = d + 3; p = z + 15. If x = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 13", "t": "l + 5", "k": "t + 13", "i": "k + 10", "n": "i + 2", "r": "n + 7", "w": "z + 17", "s": "w + 6", "m": "s + 14", "a": "m + 11", "u": "a + 10", "q": "u + 16", "z": 18}, "premises": {"z": 18}, "target": "r"}, "answer": {"steps": [["n", "i + 2", "i + 9"], ["i", "k + 10", "k + 19"], ["k", "t + 13", "t + 32"], ["t", "l + 5", "l + 37"], ["l", "z + 13", "z + 50"], ["z", 18, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"z": 18}, "is_reverse": true}} | 5,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 14; k = t + 13; a = m + 11; z = 18; u = a + 10; n = i + 2; t = l + 5; i = k + 10; s = w + 6; r = n + 7; q = u + 16; w = z + 17; l = z + 13. If z = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 2 to r, which gives r = i + 9.\n2. Substitute i = k + 10 to r, which gives r = k + 19.\n3. Substitute k = t + 13 to r, which gives r = t + 32.\n4. Substitute t = l + 5 to r, which gives r = l + 37.\n5. Substitute l = z + 13 to r, which gives r = z + 50.\n6. Substitute z = 18 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 5437,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 14; k = t + 13; a = m + 11; z = 18; u = a + 10; n = i + 2; t = l + 5; i = k + 10; s = w + 6; r = n + 7; q = u + 16; w = z + 17; l = z + 13. If z = 18, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 13", "l": "w + 7", "m": "l + 2", "c": "m + 1", "e": "c + 16", "k": "e + 16", "a": "y + 5", "s": "a + 8", "h": "s + 13", "r": "h + 15", "i": "r + 13", "q": "i + 4", "y": 1}, "premises": {"y": 1}, "target": "k"}, "answer": {"steps": [["e", "c + 16", "c + 32"], ["c", "m + 1", "m + 33"], ["m", "l + 2", "l + 35"], ["l", "w + 7", "w + 42"], ["w", "y + 13", "y + 55"], ["y", 1, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"y": 1}, "is_reverse": true}} | 5,438 | 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 = e + 16; e = c + 16; y = 1; l = w + 7; s = a + 8; i = r + 13; m = l + 2; c = m + 1; a = y + 5; r = h + 15; h = s + 13; w = y + 13; q = i + 4. If y = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 16 to k, which gives k = c + 32.\n2. Substitute c = m + 1 to k, which gives k = m + 33.\n3. Substitute m = l + 2 to k, which gives k = l + 35.\n4. Substitute l = w + 7 to k, which gives k = w + 42.\n5. Substitute w = y + 13 to k, which gives k = y + 55.\n6. Substitute y = 1 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 5438,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 16; e = c + 16; y = 1; l = w + 7; s = a + 8; i = r + 13; m = l + 2; c = m + 1; a = y + 5; r = h + 15; h = s + 13; w = y + 13; q = i + 4. If y = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 3", "h": "s + 13", "i": "h + 4", "b": "i + 4", "z": "b + 18", "q": "z + 8", "e": "r + 18", "c": "e + 12", "w": "c + 8", "f": "w + 12", "y": "f + 9", "a": "y + 6", "r": 8}, "premises": {"r": 8}, "target": "q"}, "answer": {"steps": [["z", "b + 18", "b + 26"], ["b", "i + 4", "i + 30"], ["i", "h + 4", "h + 34"], ["h", "s + 13", "s + 47"], ["s", "r + 3", "r + 50"], ["r", 8, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"r": 8}, "is_reverse": true}} | 5,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 18; r = 8; i = h + 4; a = y + 6; e = r + 18; h = s + 13; w = c + 8; s = r + 3; f = w + 12; c = e + 12; q = z + 8; y = f + 9; b = i + 4. Given that r = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 18 to q, which gives q = b + 26.\n2. Substitute b = i + 4 to q, which gives q = i + 30.\n3. Substitute i = h + 4 to q, which gives q = h + 34.\n4. Substitute h = s + 13 to q, which gives q = s + 47.\n5. Substitute s = r + 3 to q, which gives q = r + 50.\n6. Substitute r = 8 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 5439,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 18; r = 8; i = h + 4; a = y + 6; e = r + 18; h = s + 13; w = c + 8; s = r + 3; f = w + 12; c = e + 12; q = z + 8; y = f + 9; b = i + 4. Given that r = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 5", "p": "d + 11", "j": "p + 20", "h": "j + 1", "k": "h + 8", "t": "k + 19", "z": "r + 13", "f": "z + 7", "y": "f + 10", "o": "y + 8", "n": "o + 8", "g": "n + 10", "r": 4}, "premises": {"r": 4}, "target": "t"}, "answer": {"steps": [["k", "h + 8", "h + 27"], ["h", "j + 1", "j + 28"], ["j", "p + 20", "p + 48"], ["p", "d + 11", "d + 59"], ["d", "r + 5", "r + 64"], ["r", 4, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"r": 4}, "is_reverse": true}} | 5,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 10; t = k + 19; h = j + 1; k = h + 8; d = r + 5; g = n + 10; p = d + 11; n = o + 8; r = 4; f = z + 7; o = y + 8; j = p + 20; z = r + 13. Given that r = 4, find the 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 k = h + 8 to t, which gives t = h + 27.\n2. Substitute h = j + 1 to t, which gives t = j + 28.\n3. Substitute j = p + 20 to t, which gives t = p + 48.\n4. Substitute p = d + 11 to t, which gives t = d + 59.\n5. Substitute d = r + 5 to t, which gives t = r + 64.\n6. Substitute r = 4 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 5440,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 10; t = k + 19; h = j + 1; k = h + 8; d = r + 5; g = n + 10; p = d + 11; n = o + 8; r = 4; f = z + 7; o = y + 8; j = p + 20; z = r + 13. Given that r = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 2", "i": "q + 11", "e": "i + 13", "l": "e + 15", "w": "l + 14", "c": "w + 7", "g": "v + 6", "j": "g + 2", "d": "j + 9", "h": "d + 2", "o": "h + 1", "x": "o + 3", "v": 11}, "premises": {"v": 11}, "target": "c"}, "answer": {"steps": [["w", "l + 14", "l + 21"], ["l", "e + 15", "e + 36"], ["e", "i + 13", "i + 49"], ["i", "q + 11", "q + 60"], ["q", "v + 2", "v + 62"], ["v", 11, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"v": 11}, "is_reverse": true}} | 5,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 1; h = d + 2; i = q + 11; j = g + 2; v = 11; q = v + 2; d = j + 9; c = w + 7; g = v + 6; w = l + 14; l = e + 15; x = o + 3; e = i + 13. If v = 11, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 14 to c, which gives c = l + 21.\n2. Substitute l = e + 15 to c, which gives c = e + 36.\n3. Substitute e = i + 13 to c, which gives c = i + 49.\n4. Substitute i = q + 11 to c, which gives c = q + 60.\n5. Substitute q = v + 2 to c, which gives c = v + 62.\n6. Substitute v = 11 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 5441,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 1; h = d + 2; i = q + 11; j = g + 2; v = 11; q = v + 2; d = j + 9; c = w + 7; g = v + 6; w = l + 14; l = e + 15; x = o + 3; e = i + 13. If v = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 8", "d": "h + 18", "i": "d + 8", "w": "i + 17", "a": "w + 5", "t": "a + 2", "j": "y + 5", "o": "j + 14", "v": "o + 10", "g": "v + 11", "p": "g + 3", "f": "p + 14", "y": 12}, "premises": {"y": 12}, "target": "t"}, "answer": {"steps": [["a", "w + 5", "w + 7"], ["w", "i + 17", "i + 24"], ["i", "d + 8", "d + 32"], ["d", "h + 18", "h + 50"], ["h", "y + 8", "y + 58"], ["y", 12, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"y": 12}, "is_reverse": true}} | 5,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 12; p = g + 3; d = h + 18; f = p + 14; h = y + 8; j = y + 5; a = w + 5; v = o + 10; i = d + 8; g = v + 11; o = j + 14; w = i + 17; t = a + 2. Given that y = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 5 to t, which gives t = w + 7.\n2. Substitute w = i + 17 to t, which gives t = i + 24.\n3. Substitute i = d + 8 to t, which gives t = d + 32.\n4. Substitute d = h + 18 to t, which gives t = h + 50.\n5. Substitute h = y + 8 to t, which gives t = y + 58.\n6. Substitute y = 12 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 5442,
"question": "Suppose a collection of variables is related by the following definitions: y = 12; p = g + 3; d = h + 18; f = p + 14; h = y + 8; j = y + 5; a = w + 5; v = o + 10; i = d + 8; g = v + 11; o = j + 14; w = i + 17; t = a + 2. Given that y = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 14", "p": "a + 13", "u": "p + 4", "y": "u + 14", "j": "y + 12", "w": "j + 20", "m": "t + 10", "n": "m + 7", "q": "n + 15", "b": "q + 3", "d": "b + 20", "i": "d + 4", "t": 20}, "premises": {"t": 20}, "target": "w"}, "answer": {"steps": [["j", "y + 12", "y + 32"], ["y", "u + 14", "u + 46"], ["u", "p + 4", "p + 50"], ["p", "a + 13", "a + 63"], ["a", "t + 14", "t + 77"], ["t", 20, "97"]], "target_var_name": "w", "target_value": 97, "value_dict": {"t": 20}, "is_reverse": true}} | 5,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = p + 4; b = q + 3; q = n + 15; m = t + 10; j = y + 12; w = j + 20; d = b + 20; i = d + 4; t = 20; n = m + 7; p = a + 13; a = t + 14; y = u + 14. If t = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 12 to w, which gives w = y + 32.\n2. Substitute y = u + 14 to w, which gives w = u + 46.\n3. Substitute u = p + 4 to w, which gives w = p + 50.\n4. Substitute p = a + 13 to w, which gives w = a + 63.\n5. Substitute a = t + 14 to w, which gives w = t + 77.\n6. Substitute t = 20 to w, which gives w = 97.\n\nThus, the final answer is w = \\boxed{97}.",
"index": 5443,
"question": "Consider a system of variables where each variable is defined as follows: u = p + 4; b = q + 3; q = n + 15; m = t + 10; j = y + 12; w = j + 20; d = b + 20; i = d + 4; t = 20; n = m + 7; p = a + 13; a = t + 14; y = u + 14. If t = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 8", "s": "c + 15", "v": "s + 1", "j": "v + 4", "u": "j + 5", "y": "u + 20", "k": "t + 17", "f": "k + 11", "q": "f + 5", "o": "q + 12", "e": "o + 10", "a": "e + 18", "t": 18}, "premises": {"t": 18}, "target": "y"}, "answer": {"steps": [["u", "j + 5", "j + 25"], ["j", "v + 4", "v + 29"], ["v", "s + 1", "s + 30"], ["s", "c + 15", "c + 45"], ["c", "t + 8", "t + 53"], ["t", 18, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"t": 18}, "is_reverse": true}} | 5,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 4; c = t + 8; t = 18; s = c + 15; q = f + 5; f = k + 11; v = s + 1; y = u + 20; o = q + 12; k = t + 17; e = o + 10; u = j + 5; a = e + 18. If t = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 5 to y, which gives y = j + 25.\n2. Substitute j = v + 4 to y, which gives y = v + 29.\n3. Substitute v = s + 1 to y, which gives y = s + 30.\n4. Substitute s = c + 15 to y, which gives y = c + 45.\n5. Substitute c = t + 8 to y, which gives y = t + 53.\n6. Substitute t = 18 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 5444,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 4; c = t + 8; t = 18; s = c + 15; q = f + 5; f = k + 11; v = s + 1; y = u + 20; o = q + 12; k = t + 17; e = o + 10; u = j + 5; a = e + 18. If t = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 10", "q": "e + 14", "z": "q + 11", "n": "z + 8", "j": "n + 7", "x": "j + 7", "r": "p + 6", "i": "r + 11", "f": "i + 19", "h": "f + 7", "v": "h + 6", "u": "v + 2", "p": 6}, "premises": {"p": 6}, "target": "x"}, "answer": {"steps": [["j", "n + 7", "n + 14"], ["n", "z + 8", "z + 22"], ["z", "q + 11", "q + 33"], ["q", "e + 14", "e + 47"], ["e", "p + 10", "p + 57"], ["p", 6, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"p": 6}, "is_reverse": true}} | 5,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 11; u = v + 2; i = r + 11; n = z + 8; p = 6; q = e + 14; v = h + 6; j = n + 7; f = i + 19; x = j + 7; h = f + 7; e = p + 10; r = p + 6. If p = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 7 to x, which gives x = n + 14.\n2. Substitute n = z + 8 to x, which gives x = z + 22.\n3. Substitute z = q + 11 to x, which gives x = q + 33.\n4. Substitute q = e + 14 to x, which gives x = e + 47.\n5. Substitute e = p + 10 to x, which gives x = p + 57.\n6. Substitute p = 6 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 5445,
"question": "Consider a system of variables where each variable is defined as follows: z = q + 11; u = v + 2; i = r + 11; n = z + 8; p = 6; q = e + 14; v = h + 6; j = n + 7; f = i + 19; x = j + 7; h = f + 7; e = p + 10; r = p + 6. If p = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 12", "s": "g + 12", "b": "s + 7", "t": "b + 12", "l": "t + 11", "y": "l + 16", "h": "c + 10", "u": "h + 3", "k": "u + 15", "x": "k + 3", "d": "x + 20", "v": "d + 8", "c": 2}, "premises": {"c": 2}, "target": "y"}, "answer": {"steps": [["l", "t + 11", "t + 27"], ["t", "b + 12", "b + 39"], ["b", "s + 7", "s + 46"], ["s", "g + 12", "g + 58"], ["g", "c + 12", "c + 70"], ["c", 2, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"c": 2}, "is_reverse": true}} | 5,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 12; y = l + 16; s = g + 12; g = c + 12; b = s + 7; x = k + 3; h = c + 10; u = h + 3; k = u + 15; l = t + 11; v = d + 8; d = x + 20; c = 2. Given that c = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 11 to y, which gives y = t + 27.\n2. Substitute t = b + 12 to y, which gives y = b + 39.\n3. Substitute b = s + 7 to y, which gives y = s + 46.\n4. Substitute s = g + 12 to y, which gives y = g + 58.\n5. Substitute g = c + 12 to y, which gives y = c + 70.\n6. Substitute c = 2 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 5446,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 12; y = l + 16; s = g + 12; g = c + 12; b = s + 7; x = k + 3; h = c + 10; u = h + 3; k = u + 15; l = t + 11; v = d + 8; d = x + 20; c = 2. Given that c = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 17", "x": "s + 11", "j": "x + 10", "t": "j + 4", "e": "t + 8", "c": "e + 7", "o": "r + 1", "k": "o + 15", "l": "k + 16", "a": "l + 20", "y": "a + 7", "d": "y + 16", "r": 9}, "premises": {"r": 9}, "target": "c"}, "answer": {"steps": [["e", "t + 8", "t + 15"], ["t", "j + 4", "j + 19"], ["j", "x + 10", "x + 29"], ["x", "s + 11", "s + 40"], ["s", "r + 17", "r + 57"], ["r", 9, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"r": 9}, "is_reverse": true}} | 5,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 8; c = e + 7; l = k + 16; d = y + 16; j = x + 10; s = r + 17; a = l + 20; r = 9; k = o + 15; y = a + 7; t = j + 4; x = s + 11; o = r + 1. Given that r = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 8 to c, which gives c = t + 15.\n2. Substitute t = j + 4 to c, which gives c = j + 19.\n3. Substitute j = x + 10 to c, which gives c = x + 29.\n4. Substitute x = s + 11 to c, which gives c = s + 40.\n5. Substitute s = r + 17 to c, which gives c = r + 57.\n6. Substitute r = 9 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 5447,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 8; c = e + 7; l = k + 16; d = y + 16; j = x + 10; s = r + 17; a = l + 20; r = 9; k = o + 15; y = a + 7; t = j + 4; x = s + 11; o = r + 1. Given that r = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 18", "v": "l + 7", "o": "v + 13", "b": "o + 8", "n": "b + 3", "a": "n + 12", "w": "x + 11", "h": "w + 5", "y": "h + 16", "e": "y + 14", "f": "e + 6", "i": "f + 13", "x": 17}, "premises": {"x": 17}, "target": "a"}, "answer": {"steps": [["n", "b + 3", "b + 15"], ["b", "o + 8", "o + 23"], ["o", "v + 13", "v + 36"], ["v", "l + 7", "l + 43"], ["l", "x + 18", "x + 61"], ["x", 17, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"x": 17}, "is_reverse": true}} | 5,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = x + 11; i = f + 13; y = h + 16; f = e + 6; a = n + 12; b = o + 8; v = l + 7; n = b + 3; o = v + 13; h = w + 5; l = x + 18; x = 17; e = y + 14. Given that x = 17, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 3 to a, which gives a = b + 15.\n2. Substitute b = o + 8 to a, which gives a = o + 23.\n3. Substitute o = v + 13 to a, which gives a = v + 36.\n4. Substitute v = l + 7 to a, which gives a = l + 43.\n5. Substitute l = x + 18 to a, which gives a = x + 61.\n6. Substitute x = 17 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 5448,
"question": "Suppose a collection of variables is related by the following definitions: w = x + 11; i = f + 13; y = h + 16; f = e + 6; a = n + 12; b = o + 8; v = l + 7; n = b + 3; o = v + 13; h = w + 5; l = x + 18; x = 17; e = y + 14. Given that x = 17, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 9", "t": "x + 9", "h": "t + 4", "w": "h + 13", "o": "w + 8", "m": "o + 1", "j": "d + 18", "s": "j + 6", "p": "s + 15", "r": "p + 16", "q": "r + 2", "a": "q + 13", "d": 8}, "premises": {"d": 8}, "target": "m"}, "answer": {"steps": [["o", "w + 8", "w + 9"], ["w", "h + 13", "h + 22"], ["h", "t + 4", "t + 26"], ["t", "x + 9", "x + 35"], ["x", "d + 9", "d + 44"], ["d", 8, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"d": 8}, "is_reverse": true}} | 5,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 4; s = j + 6; a = q + 13; x = d + 9; m = o + 1; j = d + 18; t = x + 9; p = s + 15; o = w + 8; q = r + 2; d = 8; w = h + 13; r = p + 16. If d = 8, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 8 to m, which gives m = w + 9.\n2. Substitute w = h + 13 to m, which gives m = h + 22.\n3. Substitute h = t + 4 to m, which gives m = t + 26.\n4. Substitute t = x + 9 to m, which gives m = x + 35.\n5. Substitute x = d + 9 to m, which gives m = d + 44.\n6. Substitute d = 8 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 5449,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 4; s = j + 6; a = q + 13; x = d + 9; m = o + 1; j = d + 18; t = x + 9; p = s + 15; o = w + 8; q = r + 2; d = 8; w = h + 13; r = p + 16. If d = 8, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 11", "z": "x + 19", "e": "z + 12", "f": "e + 15", "w": "f + 7", "j": "w + 20", "b": "c + 10", "y": "b + 16", "m": "y + 7", "a": "m + 20", "n": "a + 4", "g": "n + 3", "c": 17}, "premises": {"c": 17}, "target": "j"}, "answer": {"steps": [["w", "f + 7", "f + 27"], ["f", "e + 15", "e + 42"], ["e", "z + 12", "z + 54"], ["z", "x + 19", "x + 73"], ["x", "c + 11", "c + 84"], ["c", 17, "101"]], "target_var_name": "j", "target_value": 101, "value_dict": {"c": 17}, "is_reverse": true}} | 5,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 7; j = w + 20; n = a + 4; e = z + 12; f = e + 15; y = b + 16; c = 17; a = m + 20; x = c + 11; g = n + 3; b = c + 10; z = x + 19; w = f + 7. If c = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 7 to j, which gives j = f + 27.\n2. Substitute f = e + 15 to j, which gives j = e + 42.\n3. Substitute e = z + 12 to j, which gives j = z + 54.\n4. Substitute z = x + 19 to j, which gives j = x + 73.\n5. Substitute x = c + 11 to j, which gives j = c + 84.\n6. Substitute c = 17 to j, which gives j = 101.\n\nThus, the final answer is j = \\boxed{101}.",
"index": 5450,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 7; j = w + 20; n = a + 4; e = z + 12; f = e + 15; y = b + 16; c = 17; a = m + 20; x = c + 11; g = n + 3; b = c + 10; z = x + 19; w = f + 7. If c = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 13", "d": "v + 2", "z": "d + 15", "t": "z + 8", "c": "t + 14", "j": "c + 1", "y": "u + 20", "r": "y + 4", "a": "r + 16", "o": "a + 2", "e": "o + 14", "x": "e + 14", "u": 19}, "premises": {"u": 19}, "target": "j"}, "answer": {"steps": [["c", "t + 14", "t + 15"], ["t", "z + 8", "z + 23"], ["z", "d + 15", "d + 38"], ["d", "v + 2", "v + 40"], ["v", "u + 13", "u + 53"], ["u", 19, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"u": 19}, "is_reverse": true}} | 5,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 2; v = u + 13; j = c + 1; y = u + 20; c = t + 14; t = z + 8; a = r + 16; r = y + 4; x = e + 14; z = d + 15; d = v + 2; u = 19; e = o + 14. If u = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 14 to j, which gives j = t + 15.\n2. Substitute t = z + 8 to j, which gives j = z + 23.\n3. Substitute z = d + 15 to j, which gives j = d + 38.\n4. Substitute d = v + 2 to j, which gives j = v + 40.\n5. Substitute v = u + 13 to j, which gives j = u + 53.\n6. Substitute u = 19 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 5451,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 2; v = u + 13; j = c + 1; y = u + 20; c = t + 14; t = z + 8; a = r + 16; r = y + 4; x = e + 14; z = d + 15; d = v + 2; u = 19; e = o + 14. If u = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 5", "s": "w + 16", "j": "s + 2", "g": "j + 7", "r": "g + 2", "f": "r + 14", "v": "c + 12", "h": "v + 15", "d": "h + 4", "k": "d + 9", "l": "k + 2", "y": "l + 20", "c": 16}, "premises": {"c": 16}, "target": "f"}, "answer": {"steps": [["r", "g + 2", "g + 16"], ["g", "j + 7", "j + 23"], ["j", "s + 2", "s + 25"], ["s", "w + 16", "w + 41"], ["w", "c + 5", "c + 46"], ["c", 16, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"c": 16}, "is_reverse": true}} | 5,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = d + 9; g = j + 7; w = c + 5; j = s + 2; c = 16; y = l + 20; d = h + 4; v = c + 12; r = g + 2; s = w + 16; h = v + 15; l = k + 2; f = r + 14. Given that c = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 2 to f, which gives f = g + 16.\n2. Substitute g = j + 7 to f, which gives f = j + 23.\n3. Substitute j = s + 2 to f, which gives f = s + 25.\n4. Substitute s = w + 16 to f, which gives f = w + 41.\n5. Substitute w = c + 5 to f, which gives f = c + 46.\n6. Substitute c = 16 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 5452,
"question": "Suppose a collection of variables is related by the following definitions: k = d + 9; g = j + 7; w = c + 5; j = s + 2; c = 16; y = l + 20; d = h + 4; v = c + 12; r = g + 2; s = w + 16; h = v + 15; l = k + 2; f = r + 14. Given that c = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 7", "o": "i + 15", "r": "o + 13", "q": "r + 8", "c": "q + 4", "v": "c + 1", "x": "n + 18", "m": "x + 7", "h": "m + 8", "l": "h + 19", "p": "l + 20", "f": "p + 1", "n": 11}, "premises": {"n": 11}, "target": "v"}, "answer": {"steps": [["c", "q + 4", "q + 5"], ["q", "r + 8", "r + 13"], ["r", "o + 13", "o + 26"], ["o", "i + 15", "i + 41"], ["i", "n + 7", "n + 48"], ["n", 11, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"n": 11}, "is_reverse": true}} | 5,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 15; q = r + 8; c = q + 4; n = 11; p = l + 20; r = o + 13; f = p + 1; m = x + 7; i = n + 7; v = c + 1; l = h + 19; x = n + 18; h = m + 8. Given that n = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 4 to v, which gives v = q + 5.\n2. Substitute q = r + 8 to v, which gives v = r + 13.\n3. Substitute r = o + 13 to v, which gives v = o + 26.\n4. Substitute o = i + 15 to v, which gives v = i + 41.\n5. Substitute i = n + 7 to v, which gives v = n + 48.\n6. Substitute n = 11 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 5453,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 15; q = r + 8; c = q + 4; n = 11; p = l + 20; r = o + 13; f = p + 1; m = x + 7; i = n + 7; v = c + 1; l = h + 19; x = n + 18; h = m + 8. Given that n = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 14", "n": "u + 14", "x": "n + 4", "h": "x + 4", "l": "h + 20", "i": "l + 2", "v": "s + 2", "p": "v + 3", "k": "p + 11", "d": "k + 6", "r": "d + 5", "a": "r + 6", "s": 7}, "premises": {"s": 7}, "target": "i"}, "answer": {"steps": [["l", "h + 20", "h + 22"], ["h", "x + 4", "x + 26"], ["x", "n + 4", "n + 30"], ["n", "u + 14", "u + 44"], ["u", "s + 14", "s + 58"], ["s", 7, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"s": 7}, "is_reverse": true}} | 5,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 5; p = v + 3; k = p + 11; s = 7; n = u + 14; v = s + 2; i = l + 2; d = k + 6; a = r + 6; l = h + 20; h = x + 4; u = s + 14; x = n + 4. If s = 7, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 20 to i, which gives i = h + 22.\n2. Substitute h = x + 4 to i, which gives i = x + 26.\n3. Substitute x = n + 4 to i, which gives i = n + 30.\n4. Substitute n = u + 14 to i, which gives i = u + 44.\n5. Substitute u = s + 14 to i, which gives i = s + 58.\n6. Substitute s = 7 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 5454,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 5; p = v + 3; k = p + 11; s = 7; n = u + 14; v = s + 2; i = l + 2; d = k + 6; a = r + 6; l = h + 20; h = x + 4; u = s + 14; x = n + 4. If s = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 1", "i": "a + 10", "w": "i + 1", "x": "w + 13", "j": "x + 7", "v": "j + 1", "g": "r + 12", "e": "g + 6", "c": "e + 19", "f": "c + 12", "d": "f + 13", "b": "d + 2", "r": 10}, "premises": {"r": 10}, "target": "v"}, "answer": {"steps": [["j", "x + 7", "x + 8"], ["x", "w + 13", "w + 21"], ["w", "i + 1", "i + 22"], ["i", "a + 10", "a + 32"], ["a", "r + 1", "r + 33"], ["r", 10, "43"]], "target_var_name": "v", "target_value": 43, "value_dict": {"r": 10}, "is_reverse": true}} | 5,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 10; d = f + 13; i = a + 10; w = i + 1; v = j + 1; b = d + 2; g = r + 12; e = g + 6; a = r + 1; j = x + 7; f = c + 12; c = e + 19; x = w + 13. Given that r = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 7 to v, which gives v = x + 8.\n2. Substitute x = w + 13 to v, which gives v = w + 21.\n3. Substitute w = i + 1 to v, which gives v = i + 22.\n4. Substitute i = a + 10 to v, which gives v = a + 32.\n5. Substitute a = r + 1 to v, which gives v = r + 33.\n6. Substitute r = 10 to v, which gives v = 43.\n\nThus, the final answer is v = \\boxed{43}.",
"index": 5455,
"question": "Suppose a collection of variables is related by the following definitions: r = 10; d = f + 13; i = a + 10; w = i + 1; v = j + 1; b = d + 2; g = r + 12; e = g + 6; a = r + 1; j = x + 7; f = c + 12; c = e + 19; x = w + 13. Given that r = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 2", "t": "h + 11", "n": "t + 15", "v": "n + 1", "a": "v + 14", "b": "a + 13", "s": "z + 14", "e": "s + 8", "i": "e + 13", "p": "i + 14", "j": "p + 19", "x": "j + 16", "z": 13}, "premises": {"z": 13}, "target": "b"}, "answer": {"steps": [["a", "v + 14", "v + 27"], ["v", "n + 1", "n + 28"], ["n", "t + 15", "t + 43"], ["t", "h + 11", "h + 54"], ["h", "z + 2", "z + 56"], ["z", 13, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"z": 13}, "is_reverse": true}} | 5,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 15; h = z + 2; a = v + 14; z = 13; x = j + 16; b = a + 13; s = z + 14; v = n + 1; j = p + 19; t = h + 11; e = s + 8; p = i + 14; i = e + 13. Given that z = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 14 to b, which gives b = v + 27.\n2. Substitute v = n + 1 to b, which gives b = n + 28.\n3. Substitute n = t + 15 to b, which gives b = t + 43.\n4. Substitute t = h + 11 to b, which gives b = h + 54.\n5. Substitute h = z + 2 to b, which gives b = z + 56.\n6. Substitute z = 13 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 5456,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 15; h = z + 2; a = v + 14; z = 13; x = j + 16; b = a + 13; s = z + 14; v = n + 1; j = p + 19; t = h + 11; e = s + 8; p = i + 14; i = e + 13. Given that z = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 17", "i": "h + 18", "o": "i + 6", "m": "o + 17", "s": "m + 9", "z": "s + 2", "b": "w + 15", "y": "b + 10", "j": "y + 18", "n": "j + 19", "g": "n + 12", "q": "g + 8", "w": 9}, "premises": {"w": 9}, "target": "z"}, "answer": {"steps": [["s", "m + 9", "m + 11"], ["m", "o + 17", "o + 28"], ["o", "i + 6", "i + 34"], ["i", "h + 18", "h + 52"], ["h", "w + 17", "w + 69"], ["w", 9, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"w": 9}, "is_reverse": true}} | 5,457 | 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 + 18; o = i + 6; g = n + 12; z = s + 2; b = w + 15; q = g + 8; w = 9; s = m + 9; n = j + 19; j = y + 18; m = o + 17; h = w + 17; y = b + 10. If w = 9, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 9 to z, which gives z = m + 11.\n2. Substitute m = o + 17 to z, which gives z = o + 28.\n3. Substitute o = i + 6 to z, which gives z = i + 34.\n4. Substitute i = h + 18 to z, which gives z = h + 52.\n5. Substitute h = w + 17 to z, which gives z = w + 69.\n6. Substitute w = 9 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 5457,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 18; o = i + 6; g = n + 12; z = s + 2; b = w + 15; q = g + 8; w = 9; s = m + 9; n = j + 19; j = y + 18; m = o + 17; h = w + 17; y = b + 10. If w = 9, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 12", "q": "p + 6", "a": "q + 5", "g": "a + 17", "l": "g + 20", "n": "l + 12", "e": "o + 5", "y": "e + 12", "b": "y + 2", "v": "b + 19", "j": "v + 11", "c": "j + 17", "o": 3}, "premises": {"o": 3}, "target": "n"}, "answer": {"steps": [["l", "g + 20", "g + 32"], ["g", "a + 17", "a + 49"], ["a", "q + 5", "q + 54"], ["q", "p + 6", "p + 60"], ["p", "o + 12", "o + 72"], ["o", 3, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"o": 3}, "is_reverse": true}} | 5,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = q + 5; b = y + 2; j = v + 11; o = 3; q = p + 6; n = l + 12; y = e + 12; e = o + 5; v = b + 19; p = o + 12; c = j + 17; l = g + 20; g = a + 17. If o = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 20 to n, which gives n = g + 32.\n2. Substitute g = a + 17 to n, which gives n = a + 49.\n3. Substitute a = q + 5 to n, which gives n = q + 54.\n4. Substitute q = p + 6 to n, which gives n = p + 60.\n5. Substitute p = o + 12 to n, which gives n = o + 72.\n6. Substitute o = 3 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 5458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = q + 5; b = y + 2; j = v + 11; o = 3; q = p + 6; n = l + 12; y = e + 12; e = o + 5; v = b + 19; p = o + 12; c = j + 17; l = g + 20; g = a + 17. If o = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 17", "r": "o + 4", "x": "r + 19", "g": "x + 1", "u": "g + 8", "m": "u + 7", "e": "z + 15", "h": "e + 3", "p": "h + 13", "d": "p + 17", "c": "d + 16", "l": "c + 10", "z": 1}, "premises": {"z": 1}, "target": "m"}, "answer": {"steps": [["u", "g + 8", "g + 15"], ["g", "x + 1", "x + 16"], ["x", "r + 19", "r + 35"], ["r", "o + 4", "o + 39"], ["o", "z + 17", "z + 56"], ["z", 1, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"z": 1}, "is_reverse": true}} | 5,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 13; g = x + 1; u = g + 8; c = d + 16; m = u + 7; z = 1; l = c + 10; o = z + 17; r = o + 4; d = p + 17; x = r + 19; h = e + 3; e = z + 15. Given that z = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 8 to m, which gives m = g + 15.\n2. Substitute g = x + 1 to m, which gives m = x + 16.\n3. Substitute x = r + 19 to m, which gives m = r + 35.\n4. Substitute r = o + 4 to m, which gives m = o + 39.\n5. Substitute o = z + 17 to m, which gives m = z + 56.\n6. Substitute z = 1 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 5459,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 13; g = x + 1; u = g + 8; c = d + 16; m = u + 7; z = 1; l = c + 10; o = z + 17; r = o + 4; d = p + 17; x = r + 19; h = e + 3; e = z + 15. Given that z = 1, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 9", "t": "s + 7", "q": "t + 2", "o": "q + 11", "g": "o + 15", "m": "g + 18", "b": "k + 2", "i": "b + 12", "a": "i + 10", "u": "a + 6", "r": "u + 1", "f": "r + 5", "k": 18}, "premises": {"k": 18}, "target": "m"}, "answer": {"steps": [["g", "o + 15", "o + 33"], ["o", "q + 11", "q + 44"], ["q", "t + 2", "t + 46"], ["t", "s + 7", "s + 53"], ["s", "k + 9", "k + 62"], ["k", 18, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"k": 18}, "is_reverse": true}} | 5,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 5; q = t + 2; o = q + 11; u = a + 6; i = b + 12; m = g + 18; a = i + 10; k = 18; t = s + 7; s = k + 9; g = o + 15; r = u + 1; b = k + 2. If k = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 15 to m, which gives m = o + 33.\n2. Substitute o = q + 11 to m, which gives m = q + 44.\n3. Substitute q = t + 2 to m, which gives m = t + 46.\n4. Substitute t = s + 7 to m, which gives m = s + 53.\n5. Substitute s = k + 9 to m, which gives m = k + 62.\n6. Substitute k = 18 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 5460,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 5; q = t + 2; o = q + 11; u = a + 6; i = b + 12; m = g + 18; a = i + 10; k = 18; t = s + 7; s = k + 9; g = o + 15; r = u + 1; b = k + 2. If k = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 20", "a": "z + 13", "h": "a + 4", "r": "h + 19", "u": "r + 19", "o": "u + 19", "e": "f + 17", "n": "e + 17", "b": "n + 11", "s": "b + 7", "d": "s + 10", "q": "d + 14", "f": 13}, "premises": {"f": 13}, "target": "o"}, "answer": {"steps": [["u", "r + 19", "r + 38"], ["r", "h + 19", "h + 57"], ["h", "a + 4", "a + 61"], ["a", "z + 13", "z + 74"], ["z", "f + 20", "f + 94"], ["f", 13, "107"]], "target_var_name": "o", "target_value": 107, "value_dict": {"f": 13}, "is_reverse": true}} | 5,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = a + 4; n = e + 17; e = f + 17; d = s + 10; r = h + 19; b = n + 11; s = b + 7; q = d + 14; o = u + 19; a = z + 13; u = r + 19; z = f + 20; f = 13. Given that f = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 19 to o, which gives o = r + 38.\n2. Substitute r = h + 19 to o, which gives o = h + 57.\n3. Substitute h = a + 4 to o, which gives o = a + 61.\n4. Substitute a = z + 13 to o, which gives o = z + 74.\n5. Substitute z = f + 20 to o, which gives o = f + 94.\n6. Substitute f = 13 to o, which gives o = 107.\n\nThus, the final answer is o = \\boxed{107}.",
"index": 5461,
"question": "Suppose a collection of variables is related by the following definitions: h = a + 4; n = e + 17; e = f + 17; d = s + 10; r = h + 19; b = n + 11; s = b + 7; q = d + 14; o = u + 19; a = z + 13; u = r + 19; z = f + 20; f = 13. Given that f = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 17", "a": "c + 11", "x": "a + 17", "v": "x + 18", "p": "v + 7", "u": "p + 18", "z": "n + 9", "b": "z + 7", "t": "b + 14", "k": "t + 5", "m": "k + 11", "r": "m + 20", "n": 6}, "premises": {"n": 6}, "target": "u"}, "answer": {"steps": [["p", "v + 7", "v + 25"], ["v", "x + 18", "x + 43"], ["x", "a + 17", "a + 60"], ["a", "c + 11", "c + 71"], ["c", "n + 17", "n + 88"], ["n", 6, "94"]], "target_var_name": "u", "target_value": 94, "value_dict": {"n": 6}, "is_reverse": true}} | 5,462 | 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 = p + 18; k = t + 5; a = c + 11; m = k + 11; r = m + 20; v = x + 18; p = v + 7; t = b + 14; b = z + 7; z = n + 9; c = n + 17; n = 6; x = a + 17. If n = 6, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 7 to u, which gives u = v + 25.\n2. Substitute v = x + 18 to u, which gives u = x + 43.\n3. Substitute x = a + 17 to u, which gives u = a + 60.\n4. Substitute a = c + 11 to u, which gives u = c + 71.\n5. Substitute c = n + 17 to u, which gives u = n + 88.\n6. Substitute n = 6 to u, which gives u = 94.\n\nThus, the final answer is u = \\boxed{94}.",
"index": 5462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 18; k = t + 5; a = c + 11; m = k + 11; r = m + 20; v = x + 18; p = v + 7; t = b + 14; b = z + 7; z = n + 9; c = n + 17; n = 6; x = a + 17. If n = 6, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 10", "o": "u + 5", "b": "o + 7", "g": "b + 12", "w": "g + 8", "k": "w + 20", "f": "r + 6", "z": "f + 6", "c": "z + 1", "e": "c + 14", "i": "e + 8", "v": "i + 3", "r": 17}, "premises": {"r": 17}, "target": "k"}, "answer": {"steps": [["w", "g + 8", "g + 28"], ["g", "b + 12", "b + 40"], ["b", "o + 7", "o + 47"], ["o", "u + 5", "u + 52"], ["u", "r + 10", "r + 62"], ["r", 17, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"r": 17}, "is_reverse": true}} | 5,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 6; r = 17; k = w + 20; g = b + 12; c = z + 1; e = c + 14; i = e + 8; o = u + 5; u = r + 10; v = i + 3; z = f + 6; b = o + 7; w = g + 8. Given that r = 17, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 8 to k, which gives k = g + 28.\n2. Substitute g = b + 12 to k, which gives k = b + 40.\n3. Substitute b = o + 7 to k, which gives k = o + 47.\n4. Substitute o = u + 5 to k, which gives k = u + 52.\n5. Substitute u = r + 10 to k, which gives k = r + 62.\n6. Substitute r = 17 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 5463,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 6; r = 17; k = w + 20; g = b + 12; c = z + 1; e = c + 14; i = e + 8; o = u + 5; u = r + 10; v = i + 3; z = f + 6; b = o + 7; w = g + 8. Given that r = 17, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 2", "e": "z + 3", "v": "e + 20", "h": "v + 4", "s": "h + 14", "u": "s + 16", "y": "i + 3", "r": "y + 13", "w": "r + 9", "f": "w + 2", "o": "f + 7", "b": "o + 18", "i": 19}, "premises": {"i": 19}, "target": "u"}, "answer": {"steps": [["s", "h + 14", "h + 30"], ["h", "v + 4", "v + 34"], ["v", "e + 20", "e + 54"], ["e", "z + 3", "z + 57"], ["z", "i + 2", "i + 59"], ["i", 19, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"i": 19}, "is_reverse": true}} | 5,464 | 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 = i + 2; i = 19; u = s + 16; y = i + 3; e = z + 3; f = w + 2; w = r + 9; h = v + 4; b = o + 18; s = h + 14; v = e + 20; o = f + 7; r = y + 13. If i = 19, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 14 to u, which gives u = h + 30.\n2. Substitute h = v + 4 to u, which gives u = v + 34.\n3. Substitute v = e + 20 to u, which gives u = e + 54.\n4. Substitute e = z + 3 to u, which gives u = z + 57.\n5. Substitute z = i + 2 to u, which gives u = i + 59.\n6. Substitute i = 19 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 5464,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 2; i = 19; u = s + 16; y = i + 3; e = z + 3; f = w + 2; w = r + 9; h = v + 4; b = o + 18; s = h + 14; v = e + 20; o = f + 7; r = y + 13. If i = 19, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 8", "w": "a + 3", "x": "w + 4", "h": "x + 8", "u": "h + 9", "e": "u + 14", "z": "i + 18", "c": "z + 18", "n": "c + 18", "t": "n + 11", "q": "t + 10", "j": "q + 14", "i": 7}, "premises": {"i": 7}, "target": "e"}, "answer": {"steps": [["u", "h + 9", "h + 23"], ["h", "x + 8", "x + 31"], ["x", "w + 4", "w + 35"], ["w", "a + 3", "a + 38"], ["a", "i + 8", "i + 46"], ["i", 7, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"i": 7}, "is_reverse": true}} | 5,465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = x + 8; t = n + 11; i = 7; w = a + 3; z = i + 18; u = h + 9; q = t + 10; c = z + 18; n = c + 18; j = q + 14; a = i + 8; e = u + 14; x = w + 4. If i = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 9 to e, which gives e = h + 23.\n2. Substitute h = x + 8 to e, which gives e = x + 31.\n3. Substitute x = w + 4 to e, which gives e = w + 35.\n4. Substitute w = a + 3 to e, which gives e = a + 38.\n5. Substitute a = i + 8 to e, which gives e = i + 46.\n6. Substitute i = 7 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 5465,
"question": "Consider a system of variables where each variable is defined as follows: h = x + 8; t = n + 11; i = 7; w = a + 3; z = i + 18; u = h + 9; q = t + 10; c = z + 18; n = c + 18; j = q + 14; a = i + 8; e = u + 14; x = w + 4. If i = 7, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 19", "d": "h + 20", "a": "d + 12", "p": "a + 6", "x": "p + 12", "u": "x + 1", "y": "r + 5", "n": "y + 4", "j": "n + 10", "z": "j + 18", "l": "z + 13", "m": "l + 19", "r": 7}, "premises": {"r": 7}, "target": "u"}, "answer": {"steps": [["x", "p + 12", "p + 13"], ["p", "a + 6", "a + 19"], ["a", "d + 12", "d + 31"], ["d", "h + 20", "h + 51"], ["h", "r + 19", "r + 70"], ["r", 7, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"r": 7}, "is_reverse": true}} | 5,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 18; l = z + 13; a = d + 12; r = 7; n = y + 4; p = a + 6; m = l + 19; d = h + 20; h = r + 19; x = p + 12; j = n + 10; y = r + 5; u = x + 1. If r = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 12 to u, which gives u = p + 13.\n2. Substitute p = a + 6 to u, which gives u = a + 19.\n3. Substitute a = d + 12 to u, which gives u = d + 31.\n4. Substitute d = h + 20 to u, which gives u = h + 51.\n5. Substitute h = r + 19 to u, which gives u = r + 70.\n6. Substitute r = 7 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 5466,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 18; l = z + 13; a = d + 12; r = 7; n = y + 4; p = a + 6; m = l + 19; d = h + 20; h = r + 19; x = p + 12; j = n + 10; y = r + 5; u = x + 1. If r = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 16", "m": "v + 18", "f": "m + 5", "t": "f + 15", "g": "t + 16", "h": "g + 11", "p": "w + 15", "q": "p + 19", "x": "q + 16", "i": "x + 5", "r": "i + 6", "c": "r + 3", "w": 11}, "premises": {"w": 11}, "target": "h"}, "answer": {"steps": [["g", "t + 16", "t + 27"], ["t", "f + 15", "f + 42"], ["f", "m + 5", "m + 47"], ["m", "v + 18", "v + 65"], ["v", "w + 16", "w + 81"], ["w", 11, "92"]], "target_var_name": "h", "target_value": 92, "value_dict": {"w": 11}, "is_reverse": true}} | 5,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 5; p = w + 15; w = 11; h = g + 11; x = q + 16; t = f + 15; r = i + 6; v = w + 16; f = m + 5; g = t + 16; q = p + 19; c = r + 3; m = v + 18. If w = 11, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 16 to h, which gives h = t + 27.\n2. Substitute t = f + 15 to h, which gives h = f + 42.\n3. Substitute f = m + 5 to h, which gives h = m + 47.\n4. Substitute m = v + 18 to h, which gives h = v + 65.\n5. Substitute v = w + 16 to h, which gives h = w + 81.\n6. Substitute w = 11 to h, which gives h = 92.\n\nThus, the final answer is h = \\boxed{92}.",
"index": 5467,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 5; p = w + 15; w = 11; h = g + 11; x = q + 16; t = f + 15; r = i + 6; v = w + 16; f = m + 5; g = t + 16; q = p + 19; c = r + 3; m = v + 18. If w = 11, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 15", "j": "m + 17", "a": "j + 7", "o": "a + 7", "w": "o + 9", "e": "w + 14", "f": "k + 8", "x": "f + 10", "h": "x + 20", "n": "h + 15", "z": "n + 10", "y": "z + 7", "k": 2}, "premises": {"k": 2}, "target": "e"}, "answer": {"steps": [["w", "o + 9", "o + 23"], ["o", "a + 7", "a + 30"], ["a", "j + 7", "j + 37"], ["j", "m + 17", "m + 54"], ["m", "k + 15", "k + 69"], ["k", 2, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"k": 2}, "is_reverse": true}} | 5,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = x + 20; x = f + 10; n = h + 15; o = a + 7; y = z + 7; j = m + 17; z = n + 10; w = o + 9; a = j + 7; e = w + 14; f = k + 8; m = k + 15; k = 2. If k = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 9 to e, which gives e = o + 23.\n2. Substitute o = a + 7 to e, which gives e = a + 30.\n3. Substitute a = j + 7 to e, which gives e = j + 37.\n4. Substitute j = m + 17 to e, which gives e = m + 54.\n5. Substitute m = k + 15 to e, which gives e = k + 69.\n6. Substitute k = 2 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 5468,
"question": "Consider a system of variables where each variable is defined as follows: h = x + 20; x = f + 10; n = h + 15; o = a + 7; y = z + 7; j = m + 17; z = n + 10; w = o + 9; a = j + 7; e = w + 14; f = k + 8; m = k + 15; k = 2. If k = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 20", "h": "f + 10", "z": "h + 14", "e": "z + 3", "r": "e + 1", "v": "r + 16", "o": "y + 4", "l": "o + 11", "g": "l + 2", "t": "g + 1", "k": "t + 1", "a": "k + 18", "y": 10}, "premises": {"y": 10}, "target": "v"}, "answer": {"steps": [["r", "e + 1", "e + 17"], ["e", "z + 3", "z + 20"], ["z", "h + 14", "h + 34"], ["h", "f + 10", "f + 44"], ["f", "y + 20", "y + 64"], ["y", 10, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"y": 10}, "is_reverse": true}} | 5,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 3; g = l + 2; o = y + 4; f = y + 20; k = t + 1; l = o + 11; r = e + 1; a = k + 18; y = 10; v = r + 16; z = h + 14; t = g + 1; h = f + 10. If y = 10, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 1 to v, which gives v = e + 17.\n2. Substitute e = z + 3 to v, which gives v = z + 20.\n3. Substitute z = h + 14 to v, which gives v = h + 34.\n4. Substitute h = f + 10 to v, which gives v = f + 44.\n5. Substitute f = y + 20 to v, which gives v = y + 64.\n6. Substitute y = 10 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 5469,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 3; g = l + 2; o = y + 4; f = y + 20; k = t + 1; l = o + 11; r = e + 1; a = k + 18; y = 10; v = r + 16; z = h + 14; t = g + 1; h = f + 10. If y = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 6", "q": "y + 11", "j": "q + 6", "s": "j + 15", "e": "s + 19", "l": "e + 16", "p": "c + 6", "d": "p + 5", "z": "d + 18", "o": "z + 1", "v": "o + 15", "u": "v + 9", "c": 17}, "premises": {"c": 17}, "target": "l"}, "answer": {"steps": [["e", "s + 19", "s + 35"], ["s", "j + 15", "j + 50"], ["j", "q + 6", "q + 56"], ["q", "y + 11", "y + 67"], ["y", "c + 6", "c + 73"], ["c", 17, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"c": 17}, "is_reverse": true}} | 5,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 18; e = s + 19; p = c + 6; o = z + 1; d = p + 5; u = v + 9; c = 17; j = q + 6; y = c + 6; v = o + 15; q = y + 11; s = j + 15; l = e + 16. Given that c = 17, find the 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 e = s + 19 to l, which gives l = s + 35.\n2. Substitute s = j + 15 to l, which gives l = j + 50.\n3. Substitute j = q + 6 to l, which gives l = q + 56.\n4. Substitute q = y + 11 to l, which gives l = y + 67.\n5. Substitute y = c + 6 to l, which gives l = c + 73.\n6. Substitute c = 17 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 5470,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 18; e = s + 19; p = c + 6; o = z + 1; d = p + 5; u = v + 9; c = 17; j = q + 6; y = c + 6; v = o + 15; q = y + 11; s = j + 15; l = e + 16. Given that c = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 11", "d": "m + 17", "f": "d + 5", "s": "f + 10", "e": "s + 12", "c": "e + 17", "a": "h + 2", "y": "a + 10", "k": "y + 4", "v": "k + 15", "o": "v + 7", "g": "o + 11", "h": 1}, "premises": {"h": 1}, "target": "c"}, "answer": {"steps": [["e", "s + 12", "s + 29"], ["s", "f + 10", "f + 39"], ["f", "d + 5", "d + 44"], ["d", "m + 17", "m + 61"], ["m", "h + 11", "h + 72"], ["h", 1, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"h": 1}, "is_reverse": true}} | 5,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = k + 15; f = d + 5; y = a + 10; o = v + 7; m = h + 11; d = m + 17; a = h + 2; g = o + 11; h = 1; e = s + 12; c = e + 17; s = f + 10; k = y + 4. If h = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 12 to c, which gives c = s + 29.\n2. Substitute s = f + 10 to c, which gives c = f + 39.\n3. Substitute f = d + 5 to c, which gives c = d + 44.\n4. Substitute d = m + 17 to c, which gives c = m + 61.\n5. Substitute m = h + 11 to c, which gives c = h + 72.\n6. Substitute h = 1 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 5471,
"question": "Consider a system of variables where each variable is defined as follows: v = k + 15; f = d + 5; y = a + 10; o = v + 7; m = h + 11; d = m + 17; a = h + 2; g = o + 11; h = 1; e = s + 12; c = e + 17; s = f + 10; k = y + 4. If h = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 15", "v": "g + 18", "o": "v + 18", "j": "o + 12", "s": "j + 18", "c": "s + 1", "i": "d + 14", "k": "i + 11", "x": "k + 6", "h": "x + 6", "q": "h + 16", "r": "q + 1", "d": 16}, "premises": {"d": 16}, "target": "c"}, "answer": {"steps": [["s", "j + 18", "j + 19"], ["j", "o + 12", "o + 31"], ["o", "v + 18", "v + 49"], ["v", "g + 18", "g + 67"], ["g", "d + 15", "d + 82"], ["d", 16, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"d": 16}, "is_reverse": true}} | 5,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 16; r = q + 1; v = g + 18; c = s + 1; s = j + 18; i = d + 14; h = x + 6; d = 16; x = k + 6; o = v + 18; j = o + 12; g = d + 15; k = i + 11. If d = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 18 to c, which gives c = j + 19.\n2. Substitute j = o + 12 to c, which gives c = o + 31.\n3. Substitute o = v + 18 to c, which gives c = v + 49.\n4. Substitute v = g + 18 to c, which gives c = g + 67.\n5. Substitute g = d + 15 to c, which gives c = d + 82.\n6. Substitute d = 16 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 5472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 16; r = q + 1; v = g + 18; c = s + 1; s = j + 18; i = d + 14; h = x + 6; d = 16; x = k + 6; o = v + 18; j = o + 12; g = d + 15; k = i + 11. If d = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 1", "c": "t + 4", "f": "c + 19", "p": "f + 14", "j": "p + 20", "a": "j + 14", "d": "r + 10", "h": "d + 3", "y": "h + 18", "z": "y + 3", "i": "z + 11", "v": "i + 7", "r": 12}, "premises": {"r": 12}, "target": "a"}, "answer": {"steps": [["j", "p + 20", "p + 34"], ["p", "f + 14", "f + 48"], ["f", "c + 19", "c + 67"], ["c", "t + 4", "t + 71"], ["t", "r + 1", "r + 72"], ["r", 12, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"r": 12}, "is_reverse": true}} | 5,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 7; r = 12; h = d + 3; y = h + 18; d = r + 10; t = r + 1; j = p + 20; z = y + 3; p = f + 14; i = z + 11; a = j + 14; f = c + 19; c = t + 4. If r = 12, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 20 to a, which gives a = p + 34.\n2. Substitute p = f + 14 to a, which gives a = f + 48.\n3. Substitute f = c + 19 to a, which gives a = c + 67.\n4. Substitute c = t + 4 to a, which gives a = t + 71.\n5. Substitute t = r + 1 to a, which gives a = r + 72.\n6. Substitute r = 12 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 5473,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 7; r = 12; h = d + 3; y = h + 18; d = r + 10; t = r + 1; j = p + 20; z = y + 3; p = f + 14; i = z + 11; a = j + 14; f = c + 19; c = t + 4. If r = 12, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 20", "v": "l + 20", "e": "v + 6", "s": "e + 10", "w": "s + 16", "u": "w + 7", "r": "i + 6", "m": "r + 13", "z": "m + 1", "q": "z + 20", "p": "q + 7", "h": "p + 11", "i": 9}, "premises": {"i": 9}, "target": "u"}, "answer": {"steps": [["w", "s + 16", "s + 23"], ["s", "e + 10", "e + 33"], ["e", "v + 6", "v + 39"], ["v", "l + 20", "l + 59"], ["l", "i + 20", "i + 79"], ["i", 9, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"i": 9}, "is_reverse": true}} | 5,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 20; u = w + 7; h = p + 11; m = r + 13; w = s + 16; s = e + 10; i = 9; l = i + 20; e = v + 6; z = m + 1; r = i + 6; p = q + 7; v = l + 20. If i = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 16 to u, which gives u = s + 23.\n2. Substitute s = e + 10 to u, which gives u = e + 33.\n3. Substitute e = v + 6 to u, which gives u = v + 39.\n4. Substitute v = l + 20 to u, which gives u = l + 59.\n5. Substitute l = i + 20 to u, which gives u = i + 79.\n6. Substitute i = 9 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 5474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 20; u = w + 7; h = p + 11; m = r + 13; w = s + 16; s = e + 10; i = 9; l = i + 20; e = v + 6; z = m + 1; r = i + 6; p = q + 7; v = l + 20. If i = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 5", "n": "o + 17", "a": "n + 8", "q": "a + 6", "s": "q + 14", "k": "s + 13", "m": "i + 12", "v": "m + 8", "w": "v + 20", "h": "w + 9", "p": "h + 4", "t": "p + 7", "i": 8}, "premises": {"i": 8}, "target": "k"}, "answer": {"steps": [["s", "q + 14", "q + 27"], ["q", "a + 6", "a + 33"], ["a", "n + 8", "n + 41"], ["n", "o + 17", "o + 58"], ["o", "i + 5", "i + 63"], ["i", 8, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"i": 8}, "is_reverse": true}} | 5,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 5; i = 8; n = o + 17; h = w + 9; k = s + 13; m = i + 12; s = q + 14; t = p + 7; v = m + 8; p = h + 4; q = a + 6; a = n + 8; w = v + 20. Given that i = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 14 to k, which gives k = q + 27.\n2. Substitute q = a + 6 to k, which gives k = a + 33.\n3. Substitute a = n + 8 to k, which gives k = n + 41.\n4. Substitute n = o + 17 to k, which gives k = o + 58.\n5. Substitute o = i + 5 to k, which gives k = i + 63.\n6. Substitute i = 8 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 5475,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 5; i = 8; n = o + 17; h = w + 9; k = s + 13; m = i + 12; s = q + 14; t = p + 7; v = m + 8; p = h + 4; q = a + 6; a = n + 8; w = v + 20. Given that i = 8, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 19", "g": "j + 1", "s": "g + 1", "q": "s + 10", "u": "q + 10", "d": "u + 12", "k": "c + 4", "f": "k + 9", "t": "f + 1", "b": "t + 2", "x": "b + 11", "i": "x + 8", "c": 14}, "premises": {"c": 14}, "target": "d"}, "answer": {"steps": [["u", "q + 10", "q + 22"], ["q", "s + 10", "s + 32"], ["s", "g + 1", "g + 33"], ["g", "j + 1", "j + 34"], ["j", "c + 19", "c + 53"], ["c", 14, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"c": 14}, "is_reverse": true}} | 5,476 | 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 = k + 9; j = c + 19; q = s + 10; g = j + 1; t = f + 1; u = q + 10; x = b + 11; b = t + 2; k = c + 4; s = g + 1; i = x + 8; d = u + 12; c = 14. If c = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 10 to d, which gives d = q + 22.\n2. Substitute q = s + 10 to d, which gives d = s + 32.\n3. Substitute s = g + 1 to d, which gives d = g + 33.\n4. Substitute g = j + 1 to d, which gives d = j + 34.\n5. Substitute j = c + 19 to d, which gives d = c + 53.\n6. Substitute c = 14 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 5476,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 9; j = c + 19; q = s + 10; g = j + 1; t = f + 1; u = q + 10; x = b + 11; b = t + 2; k = c + 4; s = g + 1; i = x + 8; d = u + 12; c = 14. If c = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 19", "e": "h + 15", "c": "e + 15", "l": "c + 5", "k": "l + 17", "s": "k + 4", "u": "t + 6", "p": "u + 9", "o": "p + 13", "n": "o + 14", "z": "n + 9", "f": "z + 18", "t": 15}, "premises": {"t": 15}, "target": "s"}, "answer": {"steps": [["k", "l + 17", "l + 21"], ["l", "c + 5", "c + 26"], ["c", "e + 15", "e + 41"], ["e", "h + 15", "h + 56"], ["h", "t + 19", "t + 75"], ["t", 15, "90"]], "target_var_name": "s", "target_value": 90, "value_dict": {"t": 15}, "is_reverse": true}} | 5,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 19; n = o + 14; s = k + 4; t = 15; o = p + 13; f = z + 18; e = h + 15; p = u + 9; k = l + 17; z = n + 9; l = c + 5; u = t + 6; c = e + 15. If t = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 17 to s, which gives s = l + 21.\n2. Substitute l = c + 5 to s, which gives s = c + 26.\n3. Substitute c = e + 15 to s, which gives s = e + 41.\n4. Substitute e = h + 15 to s, which gives s = h + 56.\n5. Substitute h = t + 19 to s, which gives s = t + 75.\n6. Substitute t = 15 to s, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 5477,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 19; n = o + 14; s = k + 4; t = 15; o = p + 13; f = z + 18; e = h + 15; p = u + 9; k = l + 17; z = n + 9; l = c + 5; u = t + 6; c = e + 15. If t = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 15", "e": "x + 16", "z": "e + 18", "p": "z + 4", "i": "p + 1", "s": "i + 12", "f": "t + 8", "c": "f + 12", "g": "c + 4", "r": "g + 5", "b": "r + 7", "h": "b + 4", "t": 1}, "premises": {"t": 1}, "target": "s"}, "answer": {"steps": [["i", "p + 1", "p + 13"], ["p", "z + 4", "z + 17"], ["z", "e + 18", "e + 35"], ["e", "x + 16", "x + 51"], ["x", "t + 15", "t + 66"], ["t", 1, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"t": 1}, "is_reverse": true}} | 5,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 4; b = r + 7; e = x + 16; t = 1; f = t + 8; z = e + 18; s = i + 12; h = b + 4; c = f + 12; i = p + 1; x = t + 15; r = g + 5; g = c + 4. If t = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 1 to s, which gives s = p + 13.\n2. Substitute p = z + 4 to s, which gives s = z + 17.\n3. Substitute z = e + 18 to s, which gives s = e + 35.\n4. Substitute e = x + 16 to s, which gives s = x + 51.\n5. Substitute x = t + 15 to s, which gives s = t + 66.\n6. Substitute t = 1 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 5478,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 4; b = r + 7; e = x + 16; t = 1; f = t + 8; z = e + 18; s = i + 12; h = b + 4; c = f + 12; i = p + 1; x = t + 15; r = g + 5; g = c + 4. If t = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 7", "y": "r + 1", "z": "y + 6", "c": "z + 19", "o": "c + 15", "a": "o + 17", "m": "k + 3", "j": "m + 16", "v": "j + 1", "b": "v + 7", "f": "b + 13", "e": "f + 7", "k": 3}, "premises": {"k": 3}, "target": "a"}, "answer": {"steps": [["o", "c + 15", "c + 32"], ["c", "z + 19", "z + 51"], ["z", "y + 6", "y + 57"], ["y", "r + 1", "r + 58"], ["r", "k + 7", "k + 65"], ["k", 3, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"k": 3}, "is_reverse": true}} | 5,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 7; o = c + 15; z = y + 6; j = m + 16; y = r + 1; k = 3; c = z + 19; m = k + 3; b = v + 7; a = o + 17; v = j + 1; r = k + 7; f = b + 13. If k = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 15 to a, which gives a = c + 32.\n2. Substitute c = z + 19 to a, which gives a = z + 51.\n3. Substitute z = y + 6 to a, which gives a = y + 57.\n4. Substitute y = r + 1 to a, which gives a = r + 58.\n5. Substitute r = k + 7 to a, which gives a = k + 65.\n6. Substitute k = 3 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 5479,
"question": "Consider a system of variables where each variable is defined as follows: e = f + 7; o = c + 15; z = y + 6; j = m + 16; y = r + 1; k = 3; c = z + 19; m = k + 3; b = v + 7; a = o + 17; v = j + 1; r = k + 7; f = b + 13. If k = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 4", "r": "b + 4", "x": "r + 15", "e": "x + 11", "w": "e + 1", "i": "w + 6", "q": "y + 19", "g": "q + 5", "u": "g + 5", "l": "u + 14", "t": "l + 14", "n": "t + 11", "y": 8}, "premises": {"y": 8}, "target": "i"}, "answer": {"steps": [["w", "e + 1", "e + 7"], ["e", "x + 11", "x + 18"], ["x", "r + 15", "r + 33"], ["r", "b + 4", "b + 37"], ["b", "y + 4", "y + 41"], ["y", 8, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"y": 8}, "is_reverse": true}} | 5,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = q + 5; e = x + 11; t = l + 14; i = w + 6; q = y + 19; y = 8; l = u + 14; u = g + 5; r = b + 4; x = r + 15; w = e + 1; n = t + 11; b = y + 4. If y = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 1 to i, which gives i = e + 7.\n2. Substitute e = x + 11 to i, which gives i = x + 18.\n3. Substitute x = r + 15 to i, which gives i = r + 33.\n4. Substitute r = b + 4 to i, which gives i = b + 37.\n5. Substitute b = y + 4 to i, which gives i = y + 41.\n6. Substitute y = 8 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 5480,
"question": "Consider a system of variables where each variable is defined as follows: g = q + 5; e = x + 11; t = l + 14; i = w + 6; q = y + 19; y = 8; l = u + 14; u = g + 5; r = b + 4; x = r + 15; w = e + 1; n = t + 11; b = y + 4. If y = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 2", "i": "r + 6", "e": "i + 1", "l": "e + 12", "j": "l + 2", "h": "j + 19", "g": "y + 13", "m": "g + 8", "f": "m + 2", "o": "f + 1", "t": "o + 19", "c": "t + 1", "y": 14}, "premises": {"y": 14}, "target": "h"}, "answer": {"steps": [["j", "l + 2", "l + 21"], ["l", "e + 12", "e + 33"], ["e", "i + 1", "i + 34"], ["i", "r + 6", "r + 40"], ["r", "y + 2", "y + 42"], ["y", 14, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"y": 14}, "is_reverse": true}} | 5,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 19; t = o + 19; i = r + 6; f = m + 2; y = 14; o = f + 1; m = g + 8; r = y + 2; g = y + 13; e = i + 1; j = l + 2; l = e + 12; c = t + 1. If y = 14, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 2 to h, which gives h = l + 21.\n2. Substitute l = e + 12 to h, which gives h = e + 33.\n3. Substitute e = i + 1 to h, which gives h = i + 34.\n4. Substitute i = r + 6 to h, which gives h = r + 40.\n5. Substitute r = y + 2 to h, which gives h = y + 42.\n6. Substitute y = 14 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 5481,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 19; t = o + 19; i = r + 6; f = m + 2; y = 14; o = f + 1; m = g + 8; r = y + 2; g = y + 13; e = i + 1; j = l + 2; l = e + 12; c = t + 1. If y = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 2", "p": "t + 20", "i": "p + 13", "e": "i + 1", "j": "e + 4", "a": "j + 1", "b": "r + 13", "k": "b + 6", "g": "k + 8", "q": "g + 19", "d": "q + 5", "o": "d + 5", "r": 11}, "premises": {"r": 11}, "target": "a"}, "answer": {"steps": [["j", "e + 4", "e + 5"], ["e", "i + 1", "i + 6"], ["i", "p + 13", "p + 19"], ["p", "t + 20", "t + 39"], ["t", "r + 2", "r + 41"], ["r", 11, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"r": 11}, "is_reverse": true}} | 5,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 5; t = r + 2; j = e + 4; g = k + 8; b = r + 13; d = q + 5; a = j + 1; i = p + 13; k = b + 6; p = t + 20; e = i + 1; r = 11; q = g + 19. If r = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 4 to a, which gives a = e + 5.\n2. Substitute e = i + 1 to a, which gives a = i + 6.\n3. Substitute i = p + 13 to a, which gives a = p + 19.\n4. Substitute p = t + 20 to a, which gives a = t + 39.\n5. Substitute t = r + 2 to a, which gives a = r + 41.\n6. Substitute r = 11 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 5482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 5; t = r + 2; j = e + 4; g = k + 8; b = r + 13; d = q + 5; a = j + 1; i = p + 13; k = b + 6; p = t + 20; e = i + 1; r = 11; q = g + 19. If r = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 2", "u": "n + 5", "y": "u + 9", "t": "y + 10", "m": "t + 16", "e": "m + 15", "h": "i + 7", "l": "h + 14", "d": "l + 5", "q": "d + 4", "r": "q + 13", "g": "r + 12", "i": 6}, "premises": {"i": 6}, "target": "e"}, "answer": {"steps": [["m", "t + 16", "t + 31"], ["t", "y + 10", "y + 41"], ["y", "u + 9", "u + 50"], ["u", "n + 5", "n + 55"], ["n", "i + 2", "i + 57"], ["i", 6, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"i": 6}, "is_reverse": true}} | 5,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 14; m = t + 16; y = u + 9; g = r + 12; q = d + 4; d = l + 5; i = 6; r = q + 13; u = n + 5; e = m + 15; t = y + 10; h = i + 7; n = i + 2. If i = 6, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 16 to e, which gives e = t + 31.\n2. Substitute t = y + 10 to e, which gives e = y + 41.\n3. Substitute y = u + 9 to e, which gives e = u + 50.\n4. Substitute u = n + 5 to e, which gives e = n + 55.\n5. Substitute n = i + 2 to e, which gives e = i + 57.\n6. Substitute i = 6 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 5483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 14; m = t + 16; y = u + 9; g = r + 12; q = d + 4; d = l + 5; i = 6; r = q + 13; u = n + 5; e = m + 15; t = y + 10; h = i + 7; n = i + 2. If i = 6, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 3", "o": "s + 11", "u": "o + 13", "d": "u + 14", "r": "d + 2", "q": "r + 16", "h": "n + 10", "z": "h + 7", "i": "z + 4", "a": "i + 3", "j": "a + 10", "f": "j + 11", "n": 5}, "premises": {"n": 5}, "target": "q"}, "answer": {"steps": [["r", "d + 2", "d + 18"], ["d", "u + 14", "u + 32"], ["u", "o + 13", "o + 45"], ["o", "s + 11", "s + 56"], ["s", "n + 3", "n + 59"], ["n", 5, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"n": 5}, "is_reverse": true}} | 5,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 10; a = i + 3; q = r + 16; s = n + 3; z = h + 7; f = j + 11; i = z + 4; u = o + 13; n = 5; o = s + 11; r = d + 2; j = a + 10; d = u + 14. Given that n = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 2 to q, which gives q = d + 18.\n2. Substitute d = u + 14 to q, which gives q = u + 32.\n3. Substitute u = o + 13 to q, which gives q = o + 45.\n4. Substitute o = s + 11 to q, which gives q = s + 56.\n5. Substitute s = n + 3 to q, which gives q = n + 59.\n6. Substitute n = 5 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 5484,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 10; a = i + 3; q = r + 16; s = n + 3; z = h + 7; f = j + 11; i = z + 4; u = o + 13; n = 5; o = s + 11; r = d + 2; j = a + 10; d = u + 14. Given that n = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 20", "g": "k + 12", "e": "g + 10", "q": "e + 12", "d": "q + 4", "i": "d + 3", "l": "b + 13", "w": "l + 12", "u": "w + 4", "f": "u + 6", "r": "f + 4", "m": "r + 5", "b": 20}, "premises": {"b": 20}, "target": "i"}, "answer": {"steps": [["d", "q + 4", "q + 7"], ["q", "e + 12", "e + 19"], ["e", "g + 10", "g + 29"], ["g", "k + 12", "k + 41"], ["k", "b + 20", "b + 61"], ["b", 20, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"b": 20}, "is_reverse": true}} | 5,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 12; d = q + 4; l = b + 13; b = 20; u = w + 4; w = l + 12; q = e + 12; m = r + 5; r = f + 4; i = d + 3; f = u + 6; e = g + 10; k = b + 20. If b = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 4 to i, which gives i = q + 7.\n2. Substitute q = e + 12 to i, which gives i = e + 19.\n3. Substitute e = g + 10 to i, which gives i = g + 29.\n4. Substitute g = k + 12 to i, which gives i = k + 41.\n5. Substitute k = b + 20 to i, which gives i = b + 61.\n6. Substitute b = 20 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 5485,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 12; d = q + 4; l = b + 13; b = 20; u = w + 4; w = l + 12; q = e + 12; m = r + 5; r = f + 4; i = d + 3; f = u + 6; e = g + 10; k = b + 20. If b = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 19", "r": "o + 20", "k": "r + 17", "f": "k + 18", "g": "f + 3", "p": "g + 18", "d": "h + 18", "y": "d + 10", "u": "y + 5", "b": "u + 1", "c": "b + 20", "e": "c + 13", "h": 14}, "premises": {"h": 14}, "target": "p"}, "answer": {"steps": [["g", "f + 3", "f + 21"], ["f", "k + 18", "k + 39"], ["k", "r + 17", "r + 56"], ["r", "o + 20", "o + 76"], ["o", "h + 19", "h + 95"], ["h", 14, "109"]], "target_var_name": "p", "target_value": 109, "value_dict": {"h": 14}, "is_reverse": true}} | 5,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 17; c = b + 20; r = o + 20; e = c + 13; d = h + 18; o = h + 19; h = 14; y = d + 10; g = f + 3; p = g + 18; u = y + 5; b = u + 1; f = k + 18. Given that h = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 3 to p, which gives p = f + 21.\n2. Substitute f = k + 18 to p, which gives p = k + 39.\n3. Substitute k = r + 17 to p, which gives p = r + 56.\n4. Substitute r = o + 20 to p, which gives p = o + 76.\n5. Substitute o = h + 19 to p, which gives p = h + 95.\n6. Substitute h = 14 to p, which gives p = 109.\n\nThus, the final answer is p = \\boxed{109}.",
"index": 5486,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 17; c = b + 20; r = o + 20; e = c + 13; d = h + 18; o = h + 19; h = 14; y = d + 10; g = f + 3; p = g + 18; u = y + 5; b = u + 1; f = k + 18. Given that h = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 4", "a": "k + 19", "e": "a + 14", "f": "e + 5", "c": "f + 18", "i": "c + 4", "r": "n + 6", "l": "r + 10", "o": "l + 11", "z": "o + 13", "w": "z + 3", "p": "w + 8", "n": 11}, "premises": {"n": 11}, "target": "i"}, "answer": {"steps": [["c", "f + 18", "f + 22"], ["f", "e + 5", "e + 27"], ["e", "a + 14", "a + 41"], ["a", "k + 19", "k + 60"], ["k", "n + 4", "n + 64"], ["n", 11, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"n": 11}, "is_reverse": true}} | 5,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 10; n = 11; w = z + 3; e = a + 14; p = w + 8; k = n + 4; o = l + 11; i = c + 4; r = n + 6; c = f + 18; f = e + 5; z = o + 13; a = k + 19. Given that n = 11, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 18 to i, which gives i = f + 22.\n2. Substitute f = e + 5 to i, which gives i = e + 27.\n3. Substitute e = a + 14 to i, which gives i = a + 41.\n4. Substitute a = k + 19 to i, which gives i = k + 60.\n5. Substitute k = n + 4 to i, which gives i = n + 64.\n6. Substitute n = 11 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 5487,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 10; n = 11; w = z + 3; e = a + 14; p = w + 8; k = n + 4; o = l + 11; i = c + 4; r = n + 6; c = f + 18; f = e + 5; z = o + 13; a = k + 19. Given that n = 11, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 13", "s": "p + 7", "l": "s + 10", "w": "l + 18", "h": "w + 12", "a": "h + 19", "r": "x + 19", "u": "r + 3", "e": "u + 8", "t": "e + 5", "o": "t + 18", "g": "o + 5", "x": 9}, "premises": {"x": 9}, "target": "a"}, "answer": {"steps": [["h", "w + 12", "w + 31"], ["w", "l + 18", "l + 49"], ["l", "s + 10", "s + 59"], ["s", "p + 7", "p + 66"], ["p", "x + 13", "x + 79"], ["x", 9, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"x": 9}, "is_reverse": true}} | 5,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 5; g = o + 5; s = p + 7; a = h + 19; o = t + 18; r = x + 19; x = 9; h = w + 12; l = s + 10; w = l + 18; p = x + 13; u = r + 3; e = u + 8. If x = 9, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 12 to a, which gives a = w + 31.\n2. Substitute w = l + 18 to a, which gives a = l + 49.\n3. Substitute l = s + 10 to a, which gives a = s + 59.\n4. Substitute s = p + 7 to a, which gives a = p + 66.\n5. Substitute p = x + 13 to a, which gives a = x + 79.\n6. Substitute x = 9 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 5488,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 5; g = o + 5; s = p + 7; a = h + 19; o = t + 18; r = x + 19; x = 9; h = w + 12; l = s + 10; w = l + 18; p = x + 13; u = r + 3; e = u + 8. If x = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 7", "c": "p + 20", "h": "c + 5", "q": "h + 8", "r": "q + 5", "g": "r + 10", "b": "f + 20", "j": "b + 3", "y": "j + 17", "z": "y + 15", "n": "z + 17", "v": "n + 1", "f": 15}, "premises": {"f": 15}, "target": "g"}, "answer": {"steps": [["r", "q + 5", "q + 15"], ["q", "h + 8", "h + 23"], ["h", "c + 5", "c + 28"], ["c", "p + 20", "p + 48"], ["p", "f + 7", "f + 55"], ["f", 15, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"f": 15}, "is_reverse": true}} | 5,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 15; c = p + 20; y = j + 17; f = 15; v = n + 1; n = z + 17; g = r + 10; r = q + 5; q = h + 8; j = b + 3; b = f + 20; p = f + 7; h = c + 5. Given that f = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 5 to g, which gives g = q + 15.\n2. Substitute q = h + 8 to g, which gives g = h + 23.\n3. Substitute h = c + 5 to g, which gives g = c + 28.\n4. Substitute c = p + 20 to g, which gives g = p + 48.\n5. Substitute p = f + 7 to g, which gives g = f + 55.\n6. Substitute f = 15 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 5489,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 15; c = p + 20; y = j + 17; f = 15; v = n + 1; n = z + 17; g = r + 10; r = q + 5; q = h + 8; j = b + 3; b = f + 20; p = f + 7; h = c + 5. Given that f = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 15", "u": "e + 12", "h": "u + 18", "f": "h + 17", "y": "f + 18", "w": "y + 5", "c": "j + 19", "a": "c + 12", "z": "a + 11", "d": "z + 12", "i": "d + 14", "o": "i + 1", "j": 16}, "premises": {"j": 16}, "target": "w"}, "answer": {"steps": [["y", "f + 18", "f + 23"], ["f", "h + 17", "h + 40"], ["h", "u + 18", "u + 58"], ["u", "e + 12", "e + 70"], ["e", "j + 15", "j + 85"], ["j", 16, "101"]], "target_var_name": "w", "target_value": 101, "value_dict": {"j": 16}, "is_reverse": true}} | 5,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 16; c = j + 19; y = f + 18; e = j + 15; u = e + 12; i = d + 14; a = c + 12; o = i + 1; z = a + 11; d = z + 12; w = y + 5; f = h + 17; h = u + 18. Given that j = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 18 to w, which gives w = f + 23.\n2. Substitute f = h + 17 to w, which gives w = h + 40.\n3. Substitute h = u + 18 to w, which gives w = u + 58.\n4. Substitute u = e + 12 to w, which gives w = e + 70.\n5. Substitute e = j + 15 to w, which gives w = j + 85.\n6. Substitute j = 16 to w, which gives w = 101.\n\nThus, the final answer is w = \\boxed{101}.",
"index": 5490,
"question": "Suppose a collection of variables is related by the following definitions: j = 16; c = j + 19; y = f + 18; e = j + 15; u = e + 12; i = d + 14; a = c + 12; o = i + 1; z = a + 11; d = z + 12; w = y + 5; f = h + 17; h = u + 18. Given that j = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 18", "u": "x + 10", "s": "u + 1", "v": "s + 2", "f": "v + 3", "p": "f + 17", "h": "n + 4", "b": "h + 15", "i": "b + 19", "o": "i + 11", "g": "o + 10", "d": "g + 15", "n": 7}, "premises": {"n": 7}, "target": "p"}, "answer": {"steps": [["f", "v + 3", "v + 20"], ["v", "s + 2", "s + 22"], ["s", "u + 1", "u + 23"], ["u", "x + 10", "x + 33"], ["x", "n + 18", "n + 51"], ["n", 7, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"n": 7}, "is_reverse": true}} | 5,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = v + 3; v = s + 2; n = 7; u = x + 10; b = h + 15; s = u + 1; i = b + 19; o = i + 11; d = g + 15; x = n + 18; g = o + 10; p = f + 17; h = n + 4. Given that n = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 3 to p, which gives p = v + 20.\n2. Substitute v = s + 2 to p, which gives p = s + 22.\n3. Substitute s = u + 1 to p, which gives p = u + 23.\n4. Substitute u = x + 10 to p, which gives p = x + 33.\n5. Substitute x = n + 18 to p, which gives p = n + 51.\n6. Substitute n = 7 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 5491,
"question": "Suppose a collection of variables is related by the following definitions: f = v + 3; v = s + 2; n = 7; u = x + 10; b = h + 15; s = u + 1; i = b + 19; o = i + 11; d = g + 15; x = n + 18; g = o + 10; p = f + 17; h = n + 4. Given that n = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 16", "z": "r + 3", "i": "z + 1", "d": "i + 9", "u": "d + 20", "t": "u + 20", "q": "y + 9", "f": "q + 16", "n": "f + 4", "j": "n + 5", "w": "j + 9", "o": "w + 6", "y": 20}, "premises": {"y": 20}, "target": "t"}, "answer": {"steps": [["u", "d + 20", "d + 40"], ["d", "i + 9", "i + 49"], ["i", "z + 1", "z + 50"], ["z", "r + 3", "r + 53"], ["r", "y + 16", "y + 69"], ["y", 20, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"y": 20}, "is_reverse": true}} | 5,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 3; t = u + 20; n = f + 4; w = j + 9; f = q + 16; y = 20; d = i + 9; u = d + 20; i = z + 1; o = w + 6; r = y + 16; j = n + 5; q = y + 9. Given that y = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 20 to t, which gives t = d + 40.\n2. Substitute d = i + 9 to t, which gives t = i + 49.\n3. Substitute i = z + 1 to t, which gives t = z + 50.\n4. Substitute z = r + 3 to t, which gives t = r + 53.\n5. Substitute r = y + 16 to t, which gives t = y + 69.\n6. Substitute y = 20 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 5492,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 3; t = u + 20; n = f + 4; w = j + 9; f = q + 16; y = 20; d = i + 9; u = d + 20; i = z + 1; o = w + 6; r = y + 16; j = n + 5; q = y + 9. Given that y = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 7", "n": "p + 17", "a": "n + 3", "l": "a + 12", "r": "l + 17", "s": "r + 2", "u": "m + 14", "o": "u + 12", "w": "o + 20", "z": "w + 15", "v": "z + 14", "t": "v + 13", "m": 4}, "premises": {"m": 4}, "target": "s"}, "answer": {"steps": [["r", "l + 17", "l + 19"], ["l", "a + 12", "a + 31"], ["a", "n + 3", "n + 34"], ["n", "p + 17", "p + 51"], ["p", "m + 7", "m + 58"], ["m", 4, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"m": 4}, "is_reverse": true}} | 5,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 14; p = m + 7; l = a + 12; v = z + 14; w = o + 20; z = w + 15; m = 4; s = r + 2; t = v + 13; n = p + 17; o = u + 12; a = n + 3; r = l + 17. Given that m = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 17 to s, which gives s = l + 19.\n2. Substitute l = a + 12 to s, which gives s = a + 31.\n3. Substitute a = n + 3 to s, which gives s = n + 34.\n4. Substitute n = p + 17 to s, which gives s = p + 51.\n5. Substitute p = m + 7 to s, which gives s = m + 58.\n6. Substitute m = 4 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 5493,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 14; p = m + 7; l = a + 12; v = z + 14; w = o + 20; z = w + 15; m = 4; s = r + 2; t = v + 13; n = p + 17; o = u + 12; a = n + 3; r = l + 17. Given that m = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 7", "a": "t + 6", "s": "a + 9", "m": "s + 15", "p": "m + 9", "r": "p + 13", "k": "l + 2", "w": "k + 7", "o": "w + 13", "n": "o + 18", "q": "n + 20", "g": "q + 14", "l": 16}, "premises": {"l": 16}, "target": "r"}, "answer": {"steps": [["p", "m + 9", "m + 22"], ["m", "s + 15", "s + 37"], ["s", "a + 9", "a + 46"], ["a", "t + 6", "t + 52"], ["t", "l + 7", "l + 59"], ["l", 16, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"l": 16}, "is_reverse": true}} | 5,494 | 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 = m + 9; s = a + 9; a = t + 6; o = w + 13; l = 16; m = s + 15; t = l + 7; w = k + 7; g = q + 14; n = o + 18; q = n + 20; k = l + 2; r = p + 13. If l = 16, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 9 to r, which gives r = m + 22.\n2. Substitute m = s + 15 to r, which gives r = s + 37.\n3. Substitute s = a + 9 to r, which gives r = a + 46.\n4. Substitute a = t + 6 to r, which gives r = t + 52.\n5. Substitute t = l + 7 to r, which gives r = l + 59.\n6. Substitute l = 16 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 5494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 9; s = a + 9; a = t + 6; o = w + 13; l = 16; m = s + 15; t = l + 7; w = k + 7; g = q + 14; n = o + 18; q = n + 20; k = l + 2; r = p + 13. If l = 16, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 9", "t": "w + 19", "r": "t + 7", "x": "r + 9", "i": "x + 12", "k": "i + 5", "h": "c + 14", "a": "h + 3", "y": "a + 10", "q": "y + 20", "j": "q + 9", "m": "j + 15", "c": 9}, "premises": {"c": 9}, "target": "k"}, "answer": {"steps": [["i", "x + 12", "x + 17"], ["x", "r + 9", "r + 26"], ["r", "t + 7", "t + 33"], ["t", "w + 19", "w + 52"], ["w", "c + 9", "c + 61"], ["c", 9, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"c": 9}, "is_reverse": true}} | 5,495 | 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 = c + 9; y = a + 10; i = x + 12; j = q + 9; r = t + 7; a = h + 3; m = j + 15; q = y + 20; k = i + 5; c = 9; x = r + 9; h = c + 14; t = w + 19. If c = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 12 to k, which gives k = x + 17.\n2. Substitute x = r + 9 to k, which gives k = r + 26.\n3. Substitute r = t + 7 to k, which gives k = t + 33.\n4. Substitute t = w + 19 to k, which gives k = w + 52.\n5. Substitute w = c + 9 to k, which gives k = c + 61.\n6. Substitute c = 9 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 5495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 9; y = a + 10; i = x + 12; j = q + 9; r = t + 7; a = h + 3; m = j + 15; q = y + 20; k = i + 5; c = 9; x = r + 9; h = c + 14; t = w + 19. If c = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 15", "v": "b + 18", "p": "v + 13", "h": "p + 11", "u": "h + 16", "o": "u + 11", "m": "a + 20", "g": "m + 5", "x": "g + 9", "w": "x + 8", "i": "w + 12", "d": "i + 18", "a": 13}, "premises": {"a": 13}, "target": "o"}, "answer": {"steps": [["u", "h + 16", "h + 27"], ["h", "p + 11", "p + 38"], ["p", "v + 13", "v + 51"], ["v", "b + 18", "b + 69"], ["b", "a + 15", "a + 84"], ["a", 13, "97"]], "target_var_name": "o", "target_value": 97, "value_dict": {"a": 13}, "is_reverse": true}} | 5,496 | 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 = h + 16; h = p + 11; x = g + 9; w = x + 8; b = a + 15; d = i + 18; a = 13; g = m + 5; i = w + 12; v = b + 18; p = v + 13; m = a + 20; o = u + 11. If a = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 16 to o, which gives o = h + 27.\n2. Substitute h = p + 11 to o, which gives o = p + 38.\n3. Substitute p = v + 13 to o, which gives o = v + 51.\n4. Substitute v = b + 18 to o, which gives o = b + 69.\n5. Substitute b = a + 15 to o, which gives o = a + 84.\n6. Substitute a = 13 to o, which gives o = 97.\n\nThus, the final answer is o = \\boxed{97}.",
"index": 5496,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 16; h = p + 11; x = g + 9; w = x + 8; b = a + 15; d = i + 18; a = 13; g = m + 5; i = w + 12; v = b + 18; p = v + 13; m = a + 20; o = u + 11. If a = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 1", "d": "i + 7", "h": "d + 20", "x": "h + 3", "r": "x + 15", "v": "r + 8", "n": "z + 6", "k": "n + 11", "o": "k + 18", "t": "o + 4", "f": "t + 10", "c": "f + 2", "z": 18}, "premises": {"z": 18}, "target": "v"}, "answer": {"steps": [["r", "x + 15", "x + 23"], ["x", "h + 3", "h + 26"], ["h", "d + 20", "d + 46"], ["d", "i + 7", "i + 53"], ["i", "z + 1", "z + 54"], ["z", 18, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"z": 18}, "is_reverse": true}} | 5,497 | 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 = z + 1; d = i + 7; x = h + 3; z = 18; n = z + 6; f = t + 10; o = k + 18; v = r + 8; r = x + 15; h = d + 20; k = n + 11; t = o + 4; c = f + 2. If z = 18, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 15 to v, which gives v = x + 23.\n2. Substitute x = h + 3 to v, which gives v = h + 26.\n3. Substitute h = d + 20 to v, which gives v = d + 46.\n4. Substitute d = i + 7 to v, which gives v = i + 53.\n5. Substitute i = z + 1 to v, which gives v = z + 54.\n6. Substitute z = 18 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 5497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 1; d = i + 7; x = h + 3; z = 18; n = z + 6; f = t + 10; o = k + 18; v = r + 8; r = x + 15; h = d + 20; k = n + 11; t = o + 4; c = f + 2. If z = 18, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 11", "m": "q + 13", "h": "m + 4", "k": "h + 13", "l": "k + 1", "w": "l + 17", "r": "c + 19", "f": "r + 12", "t": "f + 10", "x": "t + 17", "j": "x + 10", "y": "j + 1", "c": 3}, "premises": {"c": 3}, "target": "w"}, "answer": {"steps": [["l", "k + 1", "k + 18"], ["k", "h + 13", "h + 31"], ["h", "m + 4", "m + 35"], ["m", "q + 13", "q + 48"], ["q", "c + 11", "c + 59"], ["c", 3, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"c": 3}, "is_reverse": true}} | 5,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 13; w = l + 17; q = c + 11; y = j + 1; j = x + 10; l = k + 1; t = f + 10; r = c + 19; h = m + 4; k = h + 13; f = r + 12; c = 3; x = t + 17. If c = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 1 to w, which gives w = k + 18.\n2. Substitute k = h + 13 to w, which gives w = h + 31.\n3. Substitute h = m + 4 to w, which gives w = m + 35.\n4. Substitute m = q + 13 to w, which gives w = q + 48.\n5. Substitute q = c + 11 to w, which gives w = c + 59.\n6. Substitute c = 3 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 5498,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 13; w = l + 17; q = c + 11; y = j + 1; j = x + 10; l = k + 1; t = f + 10; r = c + 19; h = m + 4; k = h + 13; f = r + 12; c = 3; x = t + 17. If c = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 20", "z": "o + 16", "y": "z + 1", "x": "y + 11", "k": "x + 14", "d": "k + 8", "u": "w + 15", "r": "u + 11", "a": "r + 20", "q": "a + 12", "s": "q + 11", "l": "s + 14", "w": 15}, "premises": {"w": 15}, "target": "d"}, "answer": {"steps": [["k", "x + 14", "x + 22"], ["x", "y + 11", "y + 33"], ["y", "z + 1", "z + 34"], ["z", "o + 16", "o + 50"], ["o", "w + 20", "w + 70"], ["w", 15, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"w": 15}, "is_reverse": true}} | 5,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 15; q = a + 12; r = u + 11; l = s + 14; s = q + 11; k = x + 14; x = y + 11; o = w + 20; a = r + 20; z = o + 16; w = 15; d = k + 8; y = z + 1. If w = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 14 to d, which gives d = x + 22.\n2. Substitute x = y + 11 to d, which gives d = y + 33.\n3. Substitute y = z + 1 to d, which gives d = z + 34.\n4. Substitute z = o + 16 to d, which gives d = o + 50.\n5. Substitute o = w + 20 to d, which gives d = w + 70.\n6. Substitute w = 15 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 5499,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 15; q = a + 12; r = u + 11; l = s + 14; s = q + 11; k = x + 14; x = y + 11; o = w + 20; a = r + 20; z = o + 16; w = 15; d = k + 8; y = z + 1. If w = 15, determine the value of d.",
"split": "train"
} |
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