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": {"a": "y + 3", "l": "a + 3", "c": "l + 9", "v": "c + 11", "k": "v + 13", "w": "k + 8", "s": "y + 20", "u": "s + 19", "g": "u + 12", "z": "g + 1", "q": "z + 8", "n": "q + 7", "y": 2}, "premises": {"y": 2}, "target": "w"}, "answer": {"steps": [["k", "v + 13", "v + 21"], ["v", "c + 11", "c + 32"], ["c", "l + 9", "l + 41"], ["l", "a + 3", "a + 44"], ["a", "y + 3", "y + 47"], ["y", 2, "49"]], "target_var_name": "w", "target_value": 49, "value_dict": {"y": 2}, "is_reverse": true}} | 5,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 8; a = y + 3; v = c + 11; n = q + 7; y = 2; u = s + 19; g = u + 12; l = a + 3; z = g + 1; c = l + 9; w = k + 8; k = v + 13; s = y + 20. Given that y = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 13 to w, which gives w = v + 21.\n2. Substitute v = c + 11 to w, which gives w = c + 32.\n3. Substitute c = l + 9 to w, which gives w = l + 41.\n4. Substitute l = a + 3 to w, which gives w = a + 44.\n5. Substitute a = y + 3 to w, which gives w = y + 47.\n6. Substitute y = 2 to w, which gives w = 49.\n\nThus, the final answer is w = \\boxed{49}.",
"index": 5300,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 8; a = y + 3; v = c + 11; n = q + 7; y = 2; u = s + 19; g = u + 12; l = a + 3; z = g + 1; c = l + 9; w = k + 8; k = v + 13; s = y + 20. Given that y = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 2", "s": "n + 2", "z": "s + 20", "b": "z + 16", "v": "b + 17", "x": "v + 3", "i": "o + 4", "k": "i + 20", "q": "k + 17", "g": "q + 19", "p": "g + 11", "h": "p + 15", "o": 19}, "premises": {"o": 19}, "target": "x"}, "answer": {"steps": [["v", "b + 17", "b + 20"], ["b", "z + 16", "z + 36"], ["z", "s + 20", "s + 56"], ["s", "n + 2", "n + 58"], ["n", "o + 2", "o + 60"], ["o", 19, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"o": 19}, "is_reverse": true}} | 5,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = o + 4; n = o + 2; o = 19; z = s + 20; p = g + 11; s = n + 2; v = b + 17; k = i + 20; q = k + 17; g = q + 19; b = z + 16; x = v + 3; h = p + 15. Given that o = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 17 to x, which gives x = b + 20.\n2. Substitute b = z + 16 to x, which gives x = z + 36.\n3. Substitute z = s + 20 to x, which gives x = s + 56.\n4. Substitute s = n + 2 to x, which gives x = n + 58.\n5. Substitute n = o + 2 to x, which gives x = o + 60.\n6. Substitute o = 19 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 5301,
"question": "Suppose a collection of variables is related by the following definitions: i = o + 4; n = o + 2; o = 19; z = s + 20; p = g + 11; s = n + 2; v = b + 17; k = i + 20; q = k + 17; g = q + 19; b = z + 16; x = v + 3; h = p + 15. Given that o = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 14", "j": "o + 20", "v": "j + 11", "m": "v + 18", "g": "m + 14", "d": "g + 5", "w": "a + 17", "y": "w + 19", "u": "y + 7", "f": "u + 15", "b": "f + 2", "k": "b + 11", "a": 16}, "premises": {"a": 16}, "target": "d"}, "answer": {"steps": [["g", "m + 14", "m + 19"], ["m", "v + 18", "v + 37"], ["v", "j + 11", "j + 48"], ["j", "o + 20", "o + 68"], ["o", "a + 14", "a + 82"], ["a", 16, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"a": 16}, "is_reverse": true}} | 5,302 | 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 = f + 2; o = a + 14; j = o + 20; u = y + 7; k = b + 11; v = j + 11; y = w + 19; m = v + 18; w = a + 17; d = g + 5; f = u + 15; a = 16; g = m + 14. If a = 16, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 14 to d, which gives d = m + 19.\n2. Substitute m = v + 18 to d, which gives d = v + 37.\n3. Substitute v = j + 11 to d, which gives d = j + 48.\n4. Substitute j = o + 20 to d, which gives d = o + 68.\n5. Substitute o = a + 14 to d, which gives d = a + 82.\n6. Substitute a = 16 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 5302,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 2; o = a + 14; j = o + 20; u = y + 7; k = b + 11; v = j + 11; y = w + 19; m = v + 18; w = a + 17; d = g + 5; f = u + 15; a = 16; g = m + 14. If a = 16, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 2", "x": "v + 6", "m": "x + 8", "u": "m + 12", "n": "u + 3", "g": "n + 5", "q": "b + 11", "h": "q + 8", "o": "h + 11", "y": "o + 9", "d": "y + 2", "l": "d + 12", "b": 8}, "premises": {"b": 8}, "target": "g"}, "answer": {"steps": [["n", "u + 3", "u + 8"], ["u", "m + 12", "m + 20"], ["m", "x + 8", "x + 28"], ["x", "v + 6", "v + 34"], ["v", "b + 2", "b + 36"], ["b", 8, "44"]], "target_var_name": "g", "target_value": 44, "value_dict": {"b": 8}, "is_reverse": true}} | 5,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 11; v = b + 2; b = 8; n = u + 3; y = o + 9; l = d + 12; m = x + 8; g = n + 5; u = m + 12; h = q + 8; x = v + 6; o = h + 11; d = y + 2. Given that b = 8, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 3 to g, which gives g = u + 8.\n2. Substitute u = m + 12 to g, which gives g = m + 20.\n3. Substitute m = x + 8 to g, which gives g = x + 28.\n4. Substitute x = v + 6 to g, which gives g = v + 34.\n5. Substitute v = b + 2 to g, which gives g = b + 36.\n6. Substitute b = 8 to g, which gives g = 44.\n\nThus, the final answer is g = \\boxed{44}.",
"index": 5303,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 11; v = b + 2; b = 8; n = u + 3; y = o + 9; l = d + 12; m = x + 8; g = n + 5; u = m + 12; h = q + 8; x = v + 6; o = h + 11; d = y + 2. Given that b = 8, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 18", "d": "k + 19", "x": "d + 11", "w": "x + 18", "n": "w + 11", "e": "n + 20", "h": "t + 1", "y": "h + 2", "a": "y + 5", "b": "a + 20", "r": "b + 19", "f": "r + 18", "t": 17}, "premises": {"t": 17}, "target": "e"}, "answer": {"steps": [["n", "w + 11", "w + 31"], ["w", "x + 18", "x + 49"], ["x", "d + 11", "d + 60"], ["d", "k + 19", "k + 79"], ["k", "t + 18", "t + 97"], ["t", 17, "114"]], "target_var_name": "e", "target_value": 114, "value_dict": {"t": 17}, "is_reverse": true}} | 5,304 | 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 = h + 2; a = y + 5; h = t + 1; x = d + 11; k = t + 18; e = n + 20; b = a + 20; n = w + 11; d = k + 19; r = b + 19; w = x + 18; f = r + 18; t = 17. If t = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 114,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 11 to e, which gives e = w + 31.\n2. Substitute w = x + 18 to e, which gives e = x + 49.\n3. Substitute x = d + 11 to e, which gives e = d + 60.\n4. Substitute d = k + 19 to e, which gives e = k + 79.\n5. Substitute k = t + 18 to e, which gives e = t + 97.\n6. Substitute t = 17 to e, which gives e = 114.\n\nThus, the final answer is e = \\boxed{114}.",
"index": 5304,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 2; a = y + 5; h = t + 1; x = d + 11; k = t + 18; e = n + 20; b = a + 20; n = w + 11; d = k + 19; r = b + 19; w = x + 18; f = r + 18; t = 17. If t = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 9", "e": "b + 19", "i": "e + 1", "r": "i + 5", "k": "r + 16", "w": "k + 4", "g": "u + 7", "z": "g + 12", "n": "z + 14", "m": "n + 1", "o": "m + 18", "p": "o + 8", "u": 3}, "premises": {"u": 3}, "target": "w"}, "answer": {"steps": [["k", "r + 16", "r + 20"], ["r", "i + 5", "i + 25"], ["i", "e + 1", "e + 26"], ["e", "b + 19", "b + 45"], ["b", "u + 9", "u + 54"], ["u", 3, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"u": 3}, "is_reverse": true}} | 5,305 | 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 = e + 1; g = u + 7; n = z + 14; w = k + 4; b = u + 9; r = i + 5; o = m + 18; p = o + 8; e = b + 19; m = n + 1; u = 3; z = g + 12; k = r + 16. If u = 3, what is the resulting 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 k = r + 16 to w, which gives w = r + 20.\n2. Substitute r = i + 5 to w, which gives w = i + 25.\n3. Substitute i = e + 1 to w, which gives w = e + 26.\n4. Substitute e = b + 19 to w, which gives w = b + 45.\n5. Substitute b = u + 9 to w, which gives w = u + 54.\n6. Substitute u = 3 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 5305,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 1; g = u + 7; n = z + 14; w = k + 4; b = u + 9; r = i + 5; o = m + 18; p = o + 8; e = b + 19; m = n + 1; u = 3; z = g + 12; k = r + 16. If u = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 16", "c": "u + 19", "y": "c + 14", "p": "y + 17", "d": "p + 13", "v": "d + 11", "r": "a + 17", "z": "r + 16", "o": "z + 5", "w": "o + 15", "x": "w + 6", "b": "x + 9", "a": 7}, "premises": {"a": 7}, "target": "v"}, "answer": {"steps": [["d", "p + 13", "p + 24"], ["p", "y + 17", "y + 41"], ["y", "c + 14", "c + 55"], ["c", "u + 19", "u + 74"], ["u", "a + 16", "a + 90"], ["a", 7, "97"]], "target_var_name": "v", "target_value": 97, "value_dict": {"a": 7}, "is_reverse": true}} | 5,306 | 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 = z + 5; b = x + 9; w = o + 15; p = y + 17; v = d + 11; a = 7; u = a + 16; d = p + 13; z = r + 16; y = c + 14; x = w + 6; r = a + 17; c = u + 19. If a = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 13 to v, which gives v = p + 24.\n2. Substitute p = y + 17 to v, which gives v = y + 41.\n3. Substitute y = c + 14 to v, which gives v = c + 55.\n4. Substitute c = u + 19 to v, which gives v = u + 74.\n5. Substitute u = a + 16 to v, which gives v = a + 90.\n6. Substitute a = 7 to v, which gives v = 97.\n\nThus, the final answer is v = \\boxed{97}.",
"index": 5306,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 5; b = x + 9; w = o + 15; p = y + 17; v = d + 11; a = 7; u = a + 16; d = p + 13; z = r + 16; y = c + 14; x = w + 6; r = a + 17; c = u + 19. If a = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 7", "p": "g + 2", "m": "p + 1", "o": "m + 2", "y": "o + 16", "e": "y + 16", "j": "l + 5", "z": "j + 2", "a": "z + 10", "u": "a + 2", "x": "u + 7", "h": "x + 17", "l": 14}, "premises": {"l": 14}, "target": "e"}, "answer": {"steps": [["y", "o + 16", "o + 32"], ["o", "m + 2", "m + 34"], ["m", "p + 1", "p + 35"], ["p", "g + 2", "g + 37"], ["g", "l + 7", "l + 44"], ["l", 14, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"l": 14}, "is_reverse": true}} | 5,307 | 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 = y + 16; h = x + 17; o = m + 2; x = u + 7; y = o + 16; p = g + 2; z = j + 2; g = l + 7; u = a + 2; j = l + 5; m = p + 1; l = 14; a = z + 10. If l = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 16 to e, which gives e = o + 32.\n2. Substitute o = m + 2 to e, which gives e = m + 34.\n3. Substitute m = p + 1 to e, which gives e = p + 35.\n4. Substitute p = g + 2 to e, which gives e = g + 37.\n5. Substitute g = l + 7 to e, which gives e = l + 44.\n6. Substitute l = 14 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 5307,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 16; h = x + 17; o = m + 2; x = u + 7; y = o + 16; p = g + 2; z = j + 2; g = l + 7; u = a + 2; j = l + 5; m = p + 1; l = 14; a = z + 10. If l = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 1", "b": "y + 18", "t": "b + 4", "z": "t + 15", "h": "z + 9", "j": "h + 11", "k": "v + 10", "s": "k + 6", "o": "s + 17", "a": "o + 13", "d": "a + 3", "i": "d + 17", "v": 15}, "premises": {"v": 15}, "target": "j"}, "answer": {"steps": [["h", "z + 9", "z + 20"], ["z", "t + 15", "t + 35"], ["t", "b + 4", "b + 39"], ["b", "y + 18", "y + 57"], ["y", "v + 1", "v + 58"], ["v", 15, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"v": 15}, "is_reverse": true}} | 5,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 6; t = b + 4; h = z + 9; d = a + 3; k = v + 10; v = 15; b = y + 18; i = d + 17; o = s + 17; z = t + 15; j = h + 11; a = o + 13; y = v + 1. If v = 15, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 9 to j, which gives j = z + 20.\n2. Substitute z = t + 15 to j, which gives j = t + 35.\n3. Substitute t = b + 4 to j, which gives j = b + 39.\n4. Substitute b = y + 18 to j, which gives j = y + 57.\n5. Substitute y = v + 1 to j, which gives j = v + 58.\n6. Substitute v = 15 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 5308,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 6; t = b + 4; h = z + 9; d = a + 3; k = v + 10; v = 15; b = y + 18; i = d + 17; o = s + 17; z = t + 15; j = h + 11; a = o + 13; y = v + 1. If v = 15, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 10", "r": "u + 6", "z": "r + 17", "i": "z + 17", "h": "i + 15", "y": "h + 20", "p": "m + 2", "d": "p + 20", "e": "d + 9", "w": "e + 3", "g": "w + 15", "k": "g + 11", "m": 5}, "premises": {"m": 5}, "target": "y"}, "answer": {"steps": [["h", "i + 15", "i + 35"], ["i", "z + 17", "z + 52"], ["z", "r + 17", "r + 69"], ["r", "u + 6", "u + 75"], ["u", "m + 10", "m + 85"], ["m", 5, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"m": 5}, "is_reverse": true}} | 5,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 17; k = g + 11; u = m + 10; r = u + 6; z = r + 17; w = e + 3; y = h + 20; m = 5; p = m + 2; e = d + 9; g = w + 15; d = p + 20; h = i + 15. If m = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 15 to y, which gives y = i + 35.\n2. Substitute i = z + 17 to y, which gives y = z + 52.\n3. Substitute z = r + 17 to y, which gives y = r + 69.\n4. Substitute r = u + 6 to y, which gives y = u + 75.\n5. Substitute u = m + 10 to y, which gives y = m + 85.\n6. Substitute m = 5 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 5309,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 17; k = g + 11; u = m + 10; r = u + 6; z = r + 17; w = e + 3; y = h + 20; m = 5; p = m + 2; e = d + 9; g = w + 15; d = p + 20; h = i + 15. If m = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 8", "p": "u + 4", "c": "p + 6", "s": "c + 4", "m": "s + 3", "f": "m + 10", "a": "x + 13", "l": "a + 7", "q": "l + 14", "y": "q + 18", "b": "y + 3", "w": "b + 2", "x": 16}, "premises": {"x": 16}, "target": "f"}, "answer": {"steps": [["m", "s + 3", "s + 13"], ["s", "c + 4", "c + 17"], ["c", "p + 6", "p + 23"], ["p", "u + 4", "u + 27"], ["u", "x + 8", "x + 35"], ["x", 16, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"x": 16}, "is_reverse": true}} | 5,310 | 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 = q + 18; c = p + 6; b = y + 3; f = m + 10; l = a + 7; a = x + 13; p = u + 4; q = l + 14; u = x + 8; s = c + 4; m = s + 3; x = 16; w = b + 2. If x = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 3 to f, which gives f = s + 13.\n2. Substitute s = c + 4 to f, which gives f = c + 17.\n3. Substitute c = p + 6 to f, which gives f = p + 23.\n4. Substitute p = u + 4 to f, which gives f = u + 27.\n5. Substitute u = x + 8 to f, which gives f = x + 35.\n6. Substitute x = 16 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 5310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 18; c = p + 6; b = y + 3; f = m + 10; l = a + 7; a = x + 13; p = u + 4; q = l + 14; u = x + 8; s = c + 4; m = s + 3; x = 16; w = b + 2. If x = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 4", "t": "m + 2", "e": "t + 6", "p": "e + 16", "k": "p + 2", "n": "k + 11", "a": "f + 15", "j": "a + 8", "q": "j + 8", "y": "q + 15", "v": "y + 7", "i": "v + 10", "f": 8}, "premises": {"f": 8}, "target": "n"}, "answer": {"steps": [["k", "p + 2", "p + 13"], ["p", "e + 16", "e + 29"], ["e", "t + 6", "t + 35"], ["t", "m + 2", "m + 37"], ["m", "f + 4", "f + 41"], ["f", 8, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"f": 8}, "is_reverse": true}} | 5,311 | 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 = f + 15; p = e + 16; v = y + 7; e = t + 6; q = j + 8; m = f + 4; f = 8; i = v + 10; j = a + 8; n = k + 11; y = q + 15; k = p + 2; t = m + 2. If f = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 2 to n, which gives n = p + 13.\n2. Substitute p = e + 16 to n, which gives n = e + 29.\n3. Substitute e = t + 6 to n, which gives n = t + 35.\n4. Substitute t = m + 2 to n, which gives n = m + 37.\n5. Substitute m = f + 4 to n, which gives n = f + 41.\n6. Substitute f = 8 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 5311,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 15; p = e + 16; v = y + 7; e = t + 6; q = j + 8; m = f + 4; f = 8; i = v + 10; j = a + 8; n = k + 11; y = q + 15; k = p + 2; t = m + 2. If f = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 11", "b": "j + 4", "c": "b + 4", "m": "c + 18", "l": "m + 16", "d": "l + 12", "u": "o + 17", "i": "u + 1", "n": "i + 15", "g": "n + 13", "x": "g + 17", "t": "x + 16", "o": 7}, "premises": {"o": 7}, "target": "d"}, "answer": {"steps": [["l", "m + 16", "m + 28"], ["m", "c + 18", "c + 46"], ["c", "b + 4", "b + 50"], ["b", "j + 4", "j + 54"], ["j", "o + 11", "o + 65"], ["o", 7, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"o": 7}, "is_reverse": true}} | 5,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 12; b = j + 4; l = m + 16; n = i + 15; u = o + 17; m = c + 18; g = n + 13; c = b + 4; t = x + 16; i = u + 1; j = o + 11; o = 7; x = g + 17. If o = 7, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 16 to d, which gives d = m + 28.\n2. Substitute m = c + 18 to d, which gives d = c + 46.\n3. Substitute c = b + 4 to d, which gives d = b + 50.\n4. Substitute b = j + 4 to d, which gives d = j + 54.\n5. Substitute j = o + 11 to d, which gives d = o + 65.\n6. Substitute o = 7 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 5312,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 12; b = j + 4; l = m + 16; n = i + 15; u = o + 17; m = c + 18; g = n + 13; c = b + 4; t = x + 16; i = u + 1; j = o + 11; o = 7; x = g + 17. If o = 7, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 12", "d": "q + 2", "b": "d + 20", "w": "b + 19", "k": "w + 7", "t": "k + 14", "g": "c + 6", "f": "g + 5", "z": "f + 1", "x": "z + 13", "l": "x + 5", "s": "l + 19", "c": 11}, "premises": {"c": 11}, "target": "t"}, "answer": {"steps": [["k", "w + 7", "w + 21"], ["w", "b + 19", "b + 40"], ["b", "d + 20", "d + 60"], ["d", "q + 2", "q + 62"], ["q", "c + 12", "c + 74"], ["c", 11, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"c": 11}, "is_reverse": true}} | 5,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 5; q = c + 12; s = l + 19; k = w + 7; f = g + 5; b = d + 20; x = z + 13; d = q + 2; c = 11; w = b + 19; t = k + 14; g = c + 6; z = f + 1. Given that c = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 7 to t, which gives t = w + 21.\n2. Substitute w = b + 19 to t, which gives t = b + 40.\n3. Substitute b = d + 20 to t, which gives t = d + 60.\n4. Substitute d = q + 2 to t, which gives t = q + 62.\n5. Substitute q = c + 12 to t, which gives t = c + 74.\n6. Substitute c = 11 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 5313,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 5; q = c + 12; s = l + 19; k = w + 7; f = g + 5; b = d + 20; x = z + 13; d = q + 2; c = 11; w = b + 19; t = k + 14; g = c + 6; z = f + 1. Given that c = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 18", "z": "a + 19", "x": "z + 20", "d": "x + 6", "f": "d + 7", "k": "f + 18", "h": "t + 2", "j": "h + 17", "s": "j + 6", "o": "s + 15", "u": "o + 2", "r": "u + 11", "t": 19}, "premises": {"t": 19}, "target": "k"}, "answer": {"steps": [["f", "d + 7", "d + 25"], ["d", "x + 6", "x + 31"], ["x", "z + 20", "z + 51"], ["z", "a + 19", "a + 70"], ["a", "t + 18", "t + 88"], ["t", 19, "107"]], "target_var_name": "k", "target_value": 107, "value_dict": {"t": 19}, "is_reverse": true}} | 5,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 18; z = a + 19; t = 19; d = x + 6; x = z + 20; k = f + 18; h = t + 2; j = h + 17; u = o + 2; f = d + 7; o = s + 15; s = j + 6; r = u + 11. If t = 19, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 7 to k, which gives k = d + 25.\n2. Substitute d = x + 6 to k, which gives k = x + 31.\n3. Substitute x = z + 20 to k, which gives k = z + 51.\n4. Substitute z = a + 19 to k, which gives k = a + 70.\n5. Substitute a = t + 18 to k, which gives k = t + 88.\n6. Substitute t = 19 to k, which gives k = 107.\n\nThus, the final answer is k = \\boxed{107}.",
"index": 5314,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 18; z = a + 19; t = 19; d = x + 6; x = z + 20; k = f + 18; h = t + 2; j = h + 17; u = o + 2; f = d + 7; o = s + 15; s = j + 6; r = u + 11. If t = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 8", "a": "z + 16", "k": "a + 7", "w": "k + 15", "l": "w + 8", "r": "l + 10", "j": "g + 20", "b": "j + 1", "v": "b + 14", "x": "v + 16", "d": "x + 20", "s": "d + 3", "g": 17}, "premises": {"g": 17}, "target": "r"}, "answer": {"steps": [["l", "w + 8", "w + 18"], ["w", "k + 15", "k + 33"], ["k", "a + 7", "a + 40"], ["a", "z + 16", "z + 56"], ["z", "g + 8", "g + 64"], ["g", 17, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"g": 17}, "is_reverse": true}} | 5,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = v + 16; j = g + 20; w = k + 15; b = j + 1; s = d + 3; l = w + 8; z = g + 8; v = b + 14; a = z + 16; g = 17; d = x + 20; r = l + 10; k = a + 7. If g = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 8 to r, which gives r = w + 18.\n2. Substitute w = k + 15 to r, which gives r = k + 33.\n3. Substitute k = a + 7 to r, which gives r = a + 40.\n4. Substitute a = z + 16 to r, which gives r = z + 56.\n5. Substitute z = g + 8 to r, which gives r = g + 64.\n6. Substitute g = 17 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 5315,
"question": "Consider a system of variables where each variable is defined as follows: x = v + 16; j = g + 20; w = k + 15; b = j + 1; s = d + 3; l = w + 8; z = g + 8; v = b + 14; a = z + 16; g = 17; d = x + 20; r = l + 10; k = a + 7. If g = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 9", "r": "y + 19", "b": "r + 11", "j": "b + 1", "w": "j + 7", "e": "w + 19", "o": "c + 19", "z": "o + 13", "g": "z + 9", "x": "g + 16", "k": "x + 20", "f": "k + 9", "c": 3}, "premises": {"c": 3}, "target": "e"}, "answer": {"steps": [["w", "j + 7", "j + 26"], ["j", "b + 1", "b + 27"], ["b", "r + 11", "r + 38"], ["r", "y + 19", "y + 57"], ["y", "c + 9", "c + 66"], ["c", 3, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"c": 3}, "is_reverse": true}} | 5,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 9; e = w + 19; x = g + 16; w = j + 7; b = r + 11; r = y + 19; g = z + 9; j = b + 1; c = 3; o = c + 19; k = x + 20; z = o + 13; y = c + 9. Given that c = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 7 to e, which gives e = j + 26.\n2. Substitute j = b + 1 to e, which gives e = b + 27.\n3. Substitute b = r + 11 to e, which gives e = r + 38.\n4. Substitute r = y + 19 to e, which gives e = y + 57.\n5. Substitute y = c + 9 to e, which gives e = c + 66.\n6. Substitute c = 3 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 5316,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 9; e = w + 19; x = g + 16; w = j + 7; b = r + 11; r = y + 19; g = z + 9; j = b + 1; c = 3; o = c + 19; k = x + 20; z = o + 13; y = c + 9. Given that c = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 14", "l": "z + 16", "u": "l + 11", "o": "u + 9", "s": "o + 9", "m": "s + 18", "b": "k + 3", "e": "b + 1", "t": "e + 11", "n": "t + 14", "y": "n + 8", "p": "y + 17", "k": 8}, "premises": {"k": 8}, "target": "m"}, "answer": {"steps": [["s", "o + 9", "o + 27"], ["o", "u + 9", "u + 36"], ["u", "l + 11", "l + 47"], ["l", "z + 16", "z + 63"], ["z", "k + 14", "k + 77"], ["k", 8, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"k": 8}, "is_reverse": true}} | 5,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 16; s = o + 9; n = t + 14; b = k + 3; e = b + 1; o = u + 9; y = n + 8; z = k + 14; m = s + 18; p = y + 17; u = l + 11; k = 8; t = e + 11. Given that k = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 9 to m, which gives m = o + 27.\n2. Substitute o = u + 9 to m, which gives m = u + 36.\n3. Substitute u = l + 11 to m, which gives m = l + 47.\n4. Substitute l = z + 16 to m, which gives m = z + 63.\n5. Substitute z = k + 14 to m, which gives m = k + 77.\n6. Substitute k = 8 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 5317,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 16; s = o + 9; n = t + 14; b = k + 3; e = b + 1; o = u + 9; y = n + 8; z = k + 14; m = s + 18; p = y + 17; u = l + 11; k = 8; t = e + 11. Given that k = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 17", "n": "z + 5", "r": "n + 7", "j": "r + 14", "f": "j + 4", "v": "f + 17", "d": "w + 6", "i": "d + 18", "a": "i + 4", "p": "a + 5", "t": "p + 6", "y": "t + 16", "w": 4}, "premises": {"w": 4}, "target": "v"}, "answer": {"steps": [["f", "j + 4", "j + 21"], ["j", "r + 14", "r + 35"], ["r", "n + 7", "n + 42"], ["n", "z + 5", "z + 47"], ["z", "w + 17", "w + 64"], ["w", 4, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"w": 4}, "is_reverse": true}} | 5,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 5; j = r + 14; a = i + 4; y = t + 16; z = w + 17; t = p + 6; w = 4; f = j + 4; v = f + 17; p = a + 5; d = w + 6; r = n + 7; i = d + 18. If w = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 4 to v, which gives v = j + 21.\n2. Substitute j = r + 14 to v, which gives v = r + 35.\n3. Substitute r = n + 7 to v, which gives v = n + 42.\n4. Substitute n = z + 5 to v, which gives v = z + 47.\n5. Substitute z = w + 17 to v, which gives v = w + 64.\n6. Substitute w = 4 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 5318,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 5; j = r + 14; a = i + 4; y = t + 16; z = w + 17; t = p + 6; w = 4; f = j + 4; v = f + 17; p = a + 5; d = w + 6; r = n + 7; i = d + 18. If w = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 13", "s": "y + 9", "t": "s + 6", "q": "t + 16", "v": "q + 20", "r": "v + 6", "m": "z + 8", "x": "m + 17", "u": "x + 4", "g": "u + 5", "p": "g + 6", "c": "p + 17", "z": 15}, "premises": {"z": 15}, "target": "r"}, "answer": {"steps": [["v", "q + 20", "q + 26"], ["q", "t + 16", "t + 42"], ["t", "s + 6", "s + 48"], ["s", "y + 9", "y + 57"], ["y", "z + 13", "z + 70"], ["z", 15, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"z": 15}, "is_reverse": true}} | 5,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 15; r = v + 6; g = u + 5; y = z + 13; p = g + 6; c = p + 17; s = y + 9; t = s + 6; q = t + 16; x = m + 17; u = x + 4; m = z + 8; v = q + 20. Given that z = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 20 to r, which gives r = q + 26.\n2. Substitute q = t + 16 to r, which gives r = t + 42.\n3. Substitute t = s + 6 to r, which gives r = s + 48.\n4. Substitute s = y + 9 to r, which gives r = y + 57.\n5. Substitute y = z + 13 to r, which gives r = z + 70.\n6. Substitute z = 15 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 5319,
"question": "Suppose a collection of variables is related by the following definitions: z = 15; r = v + 6; g = u + 5; y = z + 13; p = g + 6; c = p + 17; s = y + 9; t = s + 6; q = t + 16; x = m + 17; u = x + 4; m = z + 8; v = q + 20. Given that z = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 13", "o": "l + 16", "f": "o + 4", "i": "f + 1", "k": "i + 8", "b": "k + 7", "h": "g + 8", "d": "h + 18", "c": "d + 9", "t": "c + 6", "z": "t + 17", "a": "z + 18", "g": 10}, "premises": {"g": 10}, "target": "b"}, "answer": {"steps": [["k", "i + 8", "i + 15"], ["i", "f + 1", "f + 16"], ["f", "o + 4", "o + 20"], ["o", "l + 16", "l + 36"], ["l", "g + 13", "g + 49"], ["g", 10, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"g": 10}, "is_reverse": true}} | 5,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 8; t = c + 6; c = d + 9; d = h + 18; z = t + 17; b = k + 7; i = f + 1; f = o + 4; o = l + 16; a = z + 18; l = g + 13; g = 10; k = i + 8. Given that g = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 8 to b, which gives b = i + 15.\n2. Substitute i = f + 1 to b, which gives b = f + 16.\n3. Substitute f = o + 4 to b, which gives b = o + 20.\n4. Substitute o = l + 16 to b, which gives b = l + 36.\n5. Substitute l = g + 13 to b, which gives b = g + 49.\n6. Substitute g = 10 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 5320,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 8; t = c + 6; c = d + 9; d = h + 18; z = t + 17; b = k + 7; i = f + 1; f = o + 4; o = l + 16; a = z + 18; l = g + 13; g = 10; k = i + 8. Given that g = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 6", "w": "i + 19", "r": "w + 12", "y": "r + 6", "b": "y + 6", "o": "b + 4", "p": "h + 6", "k": "p + 18", "f": "k + 19", "n": "f + 3", "u": "n + 12", "s": "u + 9", "h": 19}, "premises": {"h": 19}, "target": "o"}, "answer": {"steps": [["b", "y + 6", "y + 10"], ["y", "r + 6", "r + 16"], ["r", "w + 12", "w + 28"], ["w", "i + 19", "i + 47"], ["i", "h + 6", "h + 53"], ["h", 19, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"h": 19}, "is_reverse": true}} | 5,321 | 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 = i + 19; i = h + 6; n = f + 3; r = w + 12; f = k + 19; h = 19; o = b + 4; u = n + 12; y = r + 6; k = p + 18; b = y + 6; s = u + 9; p = h + 6. If h = 19, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 6 to o, which gives o = y + 10.\n2. Substitute y = r + 6 to o, which gives o = r + 16.\n3. Substitute r = w + 12 to o, which gives o = w + 28.\n4. Substitute w = i + 19 to o, which gives o = i + 47.\n5. Substitute i = h + 6 to o, which gives o = h + 53.\n6. Substitute h = 19 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 5321,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = i + 19; i = h + 6; n = f + 3; r = w + 12; f = k + 19; h = 19; o = b + 4; u = n + 12; y = r + 6; k = p + 18; b = y + 6; s = u + 9; p = h + 6. If h = 19, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 12", "o": "l + 2", "e": "o + 2", "h": "e + 3", "x": "h + 3", "n": "x + 2", "v": "d + 4", "a": "v + 15", "g": "a + 12", "m": "g + 8", "j": "m + 8", "y": "j + 7", "d": 15}, "premises": {"d": 15}, "target": "n"}, "answer": {"steps": [["x", "h + 3", "h + 5"], ["h", "e + 3", "e + 8"], ["e", "o + 2", "o + 10"], ["o", "l + 2", "l + 12"], ["l", "d + 12", "d + 24"], ["d", 15, "39"]], "target_var_name": "n", "target_value": 39, "value_dict": {"d": 15}, "is_reverse": true}} | 5,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 15; j = m + 8; y = j + 7; a = v + 15; m = g + 8; g = a + 12; v = d + 4; e = o + 2; o = l + 2; h = e + 3; l = d + 12; x = h + 3; n = x + 2. Given that d = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 3 to n, which gives n = h + 5.\n2. Substitute h = e + 3 to n, which gives n = e + 8.\n3. Substitute e = o + 2 to n, which gives n = o + 10.\n4. Substitute o = l + 2 to n, which gives n = l + 12.\n5. Substitute l = d + 12 to n, which gives n = d + 24.\n6. Substitute d = 15 to n, which gives n = 39.\n\nThus, the final answer is n = \\boxed{39}.",
"index": 5322,
"question": "Suppose a collection of variables is related by the following definitions: d = 15; j = m + 8; y = j + 7; a = v + 15; m = g + 8; g = a + 12; v = d + 4; e = o + 2; o = l + 2; h = e + 3; l = d + 12; x = h + 3; n = x + 2. Given that d = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 4", "w": "u + 20", "y": "w + 9", "b": "y + 19", "m": "b + 18", "n": "m + 14", "r": "v + 5", "f": "r + 18", "i": "f + 18", "j": "i + 4", "k": "j + 17", "h": "k + 13", "v": 7}, "premises": {"v": 7}, "target": "n"}, "answer": {"steps": [["m", "b + 18", "b + 32"], ["b", "y + 19", "y + 51"], ["y", "w + 9", "w + 60"], ["w", "u + 20", "u + 80"], ["u", "v + 4", "v + 84"], ["v", 7, "91"]], "target_var_name": "n", "target_value": 91, "value_dict": {"v": 7}, "is_reverse": true}} | 5,323 | 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 + 18; n = m + 14; k = j + 17; i = f + 18; j = i + 4; b = y + 19; u = v + 4; y = w + 9; v = 7; w = u + 20; r = v + 5; m = b + 18; h = k + 13. If v = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 18 to n, which gives n = b + 32.\n2. Substitute b = y + 19 to n, which gives n = y + 51.\n3. Substitute y = w + 9 to n, which gives n = w + 60.\n4. Substitute w = u + 20 to n, which gives n = u + 80.\n5. Substitute u = v + 4 to n, which gives n = v + 84.\n6. Substitute v = 7 to n, which gives n = 91.\n\nThus, the final answer is n = \\boxed{91}.",
"index": 5323,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 18; n = m + 14; k = j + 17; i = f + 18; j = i + 4; b = y + 19; u = v + 4; y = w + 9; v = 7; w = u + 20; r = v + 5; m = b + 18; h = k + 13. If v = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 4", "p": "a + 7", "i": "p + 20", "e": "i + 16", "r": "e + 16", "d": "r + 11", "l": "o + 17", "z": "l + 16", "t": "z + 15", "y": "t + 2", "w": "y + 12", "u": "w + 20", "o": 7}, "premises": {"o": 7}, "target": "d"}, "answer": {"steps": [["r", "e + 16", "e + 27"], ["e", "i + 16", "i + 43"], ["i", "p + 20", "p + 63"], ["p", "a + 7", "a + 70"], ["a", "o + 4", "o + 74"], ["o", 7, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"o": 7}, "is_reverse": true}} | 5,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 17; u = w + 20; p = a + 7; o = 7; a = o + 4; z = l + 16; d = r + 11; w = y + 12; r = e + 16; e = i + 16; i = p + 20; y = t + 2; t = z + 15. Given that o = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 16 to d, which gives d = e + 27.\n2. Substitute e = i + 16 to d, which gives d = i + 43.\n3. Substitute i = p + 20 to d, which gives d = p + 63.\n4. Substitute p = a + 7 to d, which gives d = a + 70.\n5. Substitute a = o + 4 to d, which gives d = o + 74.\n6. Substitute o = 7 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 5324,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 17; u = w + 20; p = a + 7; o = 7; a = o + 4; z = l + 16; d = r + 11; w = y + 12; r = e + 16; e = i + 16; i = p + 20; y = t + 2; t = z + 15. Given that o = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 11", "h": "q + 2", "o": "h + 8", "v": "o + 11", "l": "v + 4", "m": "l + 18", "y": "p + 12", "k": "y + 8", "d": "k + 2", "e": "d + 15", "c": "e + 7", "f": "c + 18", "p": 3}, "premises": {"p": 3}, "target": "m"}, "answer": {"steps": [["l", "v + 4", "v + 22"], ["v", "o + 11", "o + 33"], ["o", "h + 8", "h + 41"], ["h", "q + 2", "q + 43"], ["q", "p + 11", "p + 54"], ["p", 3, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"p": 3}, "is_reverse": true}} | 5,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 4; p = 3; f = c + 18; q = p + 11; m = l + 18; o = h + 8; k = y + 8; h = q + 2; c = e + 7; e = d + 15; y = p + 12; d = k + 2; v = o + 11. Given that p = 3, 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 l = v + 4 to m, which gives m = v + 22.\n2. Substitute v = o + 11 to m, which gives m = o + 33.\n3. Substitute o = h + 8 to m, which gives m = h + 41.\n4. Substitute h = q + 2 to m, which gives m = q + 43.\n5. Substitute q = p + 11 to m, which gives m = p + 54.\n6. Substitute p = 3 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 5325,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 4; p = 3; f = c + 18; q = p + 11; m = l + 18; o = h + 8; k = y + 8; h = q + 2; c = e + 7; e = d + 15; y = p + 12; d = k + 2; v = o + 11. Given that p = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 13", "c": "b + 11", "g": "c + 14", "i": "g + 2", "o": "i + 20", "e": "o + 5", "j": "q + 14", "p": "j + 14", "m": "p + 20", "v": "m + 14", "f": "v + 9", "k": "f + 17", "q": 3}, "premises": {"q": 3}, "target": "e"}, "answer": {"steps": [["o", "i + 20", "i + 25"], ["i", "g + 2", "g + 27"], ["g", "c + 14", "c + 41"], ["c", "b + 11", "b + 52"], ["b", "q + 13", "q + 65"], ["q", 3, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"q": 3}, "is_reverse": true}} | 5,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = c + 14; c = b + 11; i = g + 2; f = v + 9; e = o + 5; p = j + 14; q = 3; k = f + 17; m = p + 20; j = q + 14; v = m + 14; o = i + 20; b = q + 13. Given that q = 3, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 20 to e, which gives e = i + 25.\n2. Substitute i = g + 2 to e, which gives e = g + 27.\n3. Substitute g = c + 14 to e, which gives e = c + 41.\n4. Substitute c = b + 11 to e, which gives e = b + 52.\n5. Substitute b = q + 13 to e, which gives e = q + 65.\n6. Substitute q = 3 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 5326,
"question": "Suppose a collection of variables is related by the following definitions: g = c + 14; c = b + 11; i = g + 2; f = v + 9; e = o + 5; p = j + 14; q = 3; k = f + 17; m = p + 20; j = q + 14; v = m + 14; o = i + 20; b = q + 13. Given that q = 3, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 19", "b": "m + 14", "r": "b + 1", "q": "r + 9", "j": "q + 4", "w": "j + 9", "y": "n + 16", "z": "y + 15", "o": "z + 2", "g": "o + 12", "x": "g + 18", "p": "x + 20", "n": 9}, "premises": {"n": 9}, "target": "w"}, "answer": {"steps": [["j", "q + 4", "q + 13"], ["q", "r + 9", "r + 22"], ["r", "b + 1", "b + 23"], ["b", "m + 14", "m + 37"], ["m", "n + 19", "n + 56"], ["n", 9, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"n": 9}, "is_reverse": true}} | 5,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 2; x = g + 18; m = n + 19; q = r + 9; r = b + 1; y = n + 16; g = o + 12; z = y + 15; p = x + 20; b = m + 14; j = q + 4; n = 9; w = j + 9. Given that n = 9, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 4 to w, which gives w = q + 13.\n2. Substitute q = r + 9 to w, which gives w = r + 22.\n3. Substitute r = b + 1 to w, which gives w = b + 23.\n4. Substitute b = m + 14 to w, which gives w = m + 37.\n5. Substitute m = n + 19 to w, which gives w = n + 56.\n6. Substitute n = 9 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 5327,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 2; x = g + 18; m = n + 19; q = r + 9; r = b + 1; y = n + 16; g = o + 12; z = y + 15; p = x + 20; b = m + 14; j = q + 4; n = 9; w = j + 9. Given that n = 9, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 3", "s": "d + 18", "e": "s + 20", "j": "e + 15", "m": "j + 17", "z": "m + 10", "a": "b + 12", "k": "a + 15", "x": "k + 3", "u": "x + 16", "h": "u + 13", "g": "h + 6", "b": 16}, "premises": {"b": 16}, "target": "z"}, "answer": {"steps": [["m", "j + 17", "j + 27"], ["j", "e + 15", "e + 42"], ["e", "s + 20", "s + 62"], ["s", "d + 18", "d + 80"], ["d", "b + 3", "b + 83"], ["b", 16, "99"]], "target_var_name": "z", "target_value": 99, "value_dict": {"b": 16}, "is_reverse": true}} | 5,328 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = m + 10; x = k + 3; j = e + 15; d = b + 3; e = s + 20; s = d + 18; u = x + 16; g = h + 6; b = 16; a = b + 12; k = a + 15; h = u + 13; m = j + 17. Given that b = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 17 to z, which gives z = j + 27.\n2. Substitute j = e + 15 to z, which gives z = e + 42.\n3. Substitute e = s + 20 to z, which gives z = s + 62.\n4. Substitute s = d + 18 to z, which gives z = d + 80.\n5. Substitute d = b + 3 to z, which gives z = b + 83.\n6. Substitute b = 16 to z, which gives z = 99.\n\nThus, the final answer is z = \\boxed{99}.",
"index": 5328,
"question": "Suppose a collection of variables is related by the following definitions: z = m + 10; x = k + 3; j = e + 15; d = b + 3; e = s + 20; s = d + 18; u = x + 16; g = h + 6; b = 16; a = b + 12; k = a + 15; h = u + 13; m = j + 17. Given that b = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 6", "q": "p + 16", "y": "q + 12", "f": "y + 12", "h": "f + 9", "t": "h + 20", "v": "u + 17", "n": "v + 11", "b": "n + 18", "m": "b + 14", "e": "m + 5", "r": "e + 17", "u": 7}, "premises": {"u": 7}, "target": "t"}, "answer": {"steps": [["h", "f + 9", "f + 29"], ["f", "y + 12", "y + 41"], ["y", "q + 12", "q + 53"], ["q", "p + 16", "p + 69"], ["p", "u + 6", "u + 75"], ["u", 7, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"u": 7}, "is_reverse": true}} | 5,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 5; b = n + 18; t = h + 20; q = p + 16; p = u + 6; f = y + 12; v = u + 17; r = e + 17; y = q + 12; u = 7; n = v + 11; m = b + 14; h = f + 9. Given that u = 7, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 9 to t, which gives t = f + 29.\n2. Substitute f = y + 12 to t, which gives t = y + 41.\n3. Substitute y = q + 12 to t, which gives t = q + 53.\n4. Substitute q = p + 16 to t, which gives t = p + 69.\n5. Substitute p = u + 6 to t, which gives t = u + 75.\n6. Substitute u = 7 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 5329,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 5; b = n + 18; t = h + 20; q = p + 16; p = u + 6; f = y + 12; v = u + 17; r = e + 17; y = q + 12; u = 7; n = v + 11; m = b + 14; h = f + 9. Given that u = 7, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 6", "k": "o + 13", "f": "k + 17", "j": "f + 12", "h": "j + 1", "q": "h + 20", "c": "y + 6", "b": "c + 5", "m": "b + 19", "g": "m + 2", "p": "g + 10", "i": "p + 11", "y": 3}, "premises": {"y": 3}, "target": "q"}, "answer": {"steps": [["h", "j + 1", "j + 21"], ["j", "f + 12", "f + 33"], ["f", "k + 17", "k + 50"], ["k", "o + 13", "o + 63"], ["o", "y + 6", "y + 69"], ["y", 3, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"y": 3}, "is_reverse": true}} | 5,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 13; b = c + 5; c = y + 6; y = 3; h = j + 1; q = h + 20; f = k + 17; p = g + 10; i = p + 11; m = b + 19; j = f + 12; o = y + 6; g = m + 2. Given that y = 3, 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 h = j + 1 to q, which gives q = j + 21.\n2. Substitute j = f + 12 to q, which gives q = f + 33.\n3. Substitute f = k + 17 to q, which gives q = k + 50.\n4. Substitute k = o + 13 to q, which gives q = o + 63.\n5. Substitute o = y + 6 to q, which gives q = y + 69.\n6. Substitute y = 3 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 5330,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 13; b = c + 5; c = y + 6; y = 3; h = j + 1; q = h + 20; f = k + 17; p = g + 10; i = p + 11; m = b + 19; j = f + 12; o = y + 6; g = m + 2. Given that y = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 15", "k": "s + 1", "e": "k + 3", "x": "e + 20", "t": "x + 4", "y": "t + 20", "g": "f + 19", "m": "g + 11", "n": "m + 20", "j": "n + 11", "d": "j + 8", "r": "d + 16", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["t", "x + 4", "x + 24"], ["x", "e + 20", "e + 44"], ["e", "k + 3", "k + 47"], ["k", "s + 1", "s + 48"], ["s", "f + 15", "f + 63"], ["f", 7, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"f": 7}, "is_reverse": true}} | 5,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 15; g = f + 19; n = m + 20; x = e + 20; m = g + 11; k = s + 1; y = t + 20; f = 7; e = k + 3; j = n + 11; d = j + 8; r = d + 16; t = x + 4. Given that f = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 4 to y, which gives y = x + 24.\n2. Substitute x = e + 20 to y, which gives y = e + 44.\n3. Substitute e = k + 3 to y, which gives y = k + 47.\n4. Substitute k = s + 1 to y, which gives y = s + 48.\n5. Substitute s = f + 15 to y, which gives y = f + 63.\n6. Substitute f = 7 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 5331,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 15; g = f + 19; n = m + 20; x = e + 20; m = g + 11; k = s + 1; y = t + 20; f = 7; e = k + 3; j = n + 11; d = j + 8; r = d + 16; t = x + 4. Given that f = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 18", "g": "q + 5", "v": "g + 14", "h": "v + 2", "k": "h + 4", "n": "k + 17", "d": "w + 3", "p": "d + 18", "o": "p + 6", "u": "o + 15", "a": "u + 17", "f": "a + 10", "w": 1}, "premises": {"w": 1}, "target": "n"}, "answer": {"steps": [["k", "h + 4", "h + 21"], ["h", "v + 2", "v + 23"], ["v", "g + 14", "g + 37"], ["g", "q + 5", "q + 42"], ["q", "w + 18", "w + 60"], ["w", 1, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"w": 1}, "is_reverse": true}} | 5,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 18; h = v + 2; u = o + 15; n = k + 17; w = 1; k = h + 4; f = a + 10; q = w + 18; o = p + 6; v = g + 14; g = q + 5; d = w + 3; a = u + 17. Given that w = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 4 to n, which gives n = h + 21.\n2. Substitute h = v + 2 to n, which gives n = v + 23.\n3. Substitute v = g + 14 to n, which gives n = g + 37.\n4. Substitute g = q + 5 to n, which gives n = q + 42.\n5. Substitute q = w + 18 to n, which gives n = w + 60.\n6. Substitute w = 1 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 5332,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 18; h = v + 2; u = o + 15; n = k + 17; w = 1; k = h + 4; f = a + 10; q = w + 18; o = p + 6; v = g + 14; g = q + 5; d = w + 3; a = u + 17. Given that w = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 1", "p": "y + 1", "t": "p + 7", "x": "t + 5", "b": "x + 13", "g": "b + 13", "v": "l + 4", "w": "v + 5", "o": "w + 19", "k": "o + 8", "z": "k + 20", "q": "z + 4", "l": 3}, "premises": {"l": 3}, "target": "g"}, "answer": {"steps": [["b", "x + 13", "x + 26"], ["x", "t + 5", "t + 31"], ["t", "p + 7", "p + 38"], ["p", "y + 1", "y + 39"], ["y", "l + 1", "l + 40"], ["l", 3, "43"]], "target_var_name": "g", "target_value": 43, "value_dict": {"l": 3}, "is_reverse": true}} | 5,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 13; w = v + 5; g = b + 13; q = z + 4; z = k + 20; y = l + 1; l = 3; k = o + 8; o = w + 19; v = l + 4; t = p + 7; p = y + 1; x = t + 5. If l = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 13 to g, which gives g = x + 26.\n2. Substitute x = t + 5 to g, which gives g = t + 31.\n3. Substitute t = p + 7 to g, which gives g = p + 38.\n4. Substitute p = y + 1 to g, which gives g = y + 39.\n5. Substitute y = l + 1 to g, which gives g = l + 40.\n6. Substitute l = 3 to g, which gives g = 43.\n\nThus, the final answer is g = \\boxed{43}.",
"index": 5333,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 13; w = v + 5; g = b + 13; q = z + 4; z = k + 20; y = l + 1; l = 3; k = o + 8; o = w + 19; v = l + 4; t = p + 7; p = y + 1; x = t + 5. If l = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 4", "w": "o + 18", "i": "w + 3", "c": "i + 14", "d": "c + 3", "j": "d + 5", "l": "a + 5", "r": "l + 11", "f": "r + 8", "t": "f + 12", "h": "t + 3", "s": "h + 19", "a": 4}, "premises": {"a": 4}, "target": "j"}, "answer": {"steps": [["d", "c + 3", "c + 8"], ["c", "i + 14", "i + 22"], ["i", "w + 3", "w + 25"], ["w", "o + 18", "o + 43"], ["o", "a + 4", "a + 47"], ["a", 4, "51"]], "target_var_name": "j", "target_value": 51, "value_dict": {"a": 4}, "is_reverse": true}} | 5,334 | 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 = a + 4; w = o + 18; c = i + 14; a = 4; j = d + 5; s = h + 19; r = l + 11; t = f + 12; l = a + 5; d = c + 3; h = t + 3; i = w + 3; f = r + 8. If a = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 3 to j, which gives j = c + 8.\n2. Substitute c = i + 14 to j, which gives j = i + 22.\n3. Substitute i = w + 3 to j, which gives j = w + 25.\n4. Substitute w = o + 18 to j, which gives j = o + 43.\n5. Substitute o = a + 4 to j, which gives j = a + 47.\n6. Substitute a = 4 to j, which gives j = 51.\n\nThus, the final answer is j = \\boxed{51}.",
"index": 5334,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 4; w = o + 18; c = i + 14; a = 4; j = d + 5; s = h + 19; r = l + 11; t = f + 12; l = a + 5; d = c + 3; h = t + 3; i = w + 3; f = r + 8. If a = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 1", "y": "q + 13", "b": "y + 16", "p": "b + 2", "a": "p + 18", "c": "a + 14", "r": "h + 12", "v": "r + 16", "f": "v + 5", "t": "f + 12", "i": "t + 6", "l": "i + 2", "h": 12}, "premises": {"h": 12}, "target": "c"}, "answer": {"steps": [["a", "p + 18", "p + 32"], ["p", "b + 2", "b + 34"], ["b", "y + 16", "y + 50"], ["y", "q + 13", "q + 63"], ["q", "h + 1", "h + 64"], ["h", 12, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"h": 12}, "is_reverse": true}} | 5,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 12; i = t + 6; b = y + 16; a = p + 18; c = a + 14; h = 12; v = r + 16; p = b + 2; t = f + 12; f = v + 5; y = q + 13; l = i + 2; q = h + 1. Given that h = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 18 to c, which gives c = p + 32.\n2. Substitute p = b + 2 to c, which gives c = b + 34.\n3. Substitute b = y + 16 to c, which gives c = y + 50.\n4. Substitute y = q + 13 to c, which gives c = q + 63.\n5. Substitute q = h + 1 to c, which gives c = h + 64.\n6. Substitute h = 12 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 5335,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 12; i = t + 6; b = y + 16; a = p + 18; c = a + 14; h = 12; v = r + 16; p = b + 2; t = f + 12; f = v + 5; y = q + 13; l = i + 2; q = h + 1. Given that h = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 11", "j": "g + 12", "l": "j + 3", "t": "l + 7", "d": "t + 16", "z": "d + 16", "p": "n + 1", "x": "p + 15", "k": "x + 20", "h": "k + 20", "r": "h + 14", "c": "r + 5", "n": 8}, "premises": {"n": 8}, "target": "z"}, "answer": {"steps": [["d", "t + 16", "t + 32"], ["t", "l + 7", "l + 39"], ["l", "j + 3", "j + 42"], ["j", "g + 12", "g + 54"], ["g", "n + 11", "n + 65"], ["n", 8, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"n": 8}, "is_reverse": true}} | 5,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 16; j = g + 12; z = d + 16; g = n + 11; k = x + 20; x = p + 15; p = n + 1; h = k + 20; l = j + 3; c = r + 5; n = 8; t = l + 7; r = h + 14. If n = 8, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 16 to z, which gives z = t + 32.\n2. Substitute t = l + 7 to z, which gives z = l + 39.\n3. Substitute l = j + 3 to z, which gives z = j + 42.\n4. Substitute j = g + 12 to z, which gives z = g + 54.\n5. Substitute g = n + 11 to z, which gives z = n + 65.\n6. Substitute n = 8 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 5336,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 16; j = g + 12; z = d + 16; g = n + 11; k = x + 20; x = p + 15; p = n + 1; h = k + 20; l = j + 3; c = r + 5; n = 8; t = l + 7; r = h + 14. If n = 8, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 10", "m": "y + 15", "p": "m + 2", "x": "p + 8", "a": "x + 2", "k": "a + 2", "u": "s + 4", "z": "u + 10", "b": "z + 1", "r": "b + 19", "h": "r + 1", "g": "h + 4", "s": 17}, "premises": {"s": 17}, "target": "k"}, "answer": {"steps": [["a", "x + 2", "x + 4"], ["x", "p + 8", "p + 12"], ["p", "m + 2", "m + 14"], ["m", "y + 15", "y + 29"], ["y", "s + 10", "s + 39"], ["s", 17, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"s": 17}, "is_reverse": true}} | 5,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = s + 10; p = m + 2; b = z + 1; x = p + 8; a = x + 2; k = a + 2; z = u + 10; h = r + 1; s = 17; u = s + 4; g = h + 4; r = b + 19; m = y + 15. If s = 17, determine the 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 a = x + 2 to k, which gives k = x + 4.\n2. Substitute x = p + 8 to k, which gives k = p + 12.\n3. Substitute p = m + 2 to k, which gives k = m + 14.\n4. Substitute m = y + 15 to k, which gives k = y + 29.\n5. Substitute y = s + 10 to k, which gives k = s + 39.\n6. Substitute s = 17 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 5337,
"question": "Consider a system of variables where each variable is defined as follows: y = s + 10; p = m + 2; b = z + 1; x = p + 8; a = x + 2; k = a + 2; z = u + 10; h = r + 1; s = 17; u = s + 4; g = h + 4; r = b + 19; m = y + 15. If s = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 15", "x": "o + 13", "s": "x + 9", "y": "s + 5", "c": "y + 10", "l": "c + 14", "a": "w + 4", "u": "a + 19", "n": "u + 16", "z": "n + 4", "f": "z + 20", "t": "f + 17", "w": 8}, "premises": {"w": 8}, "target": "l"}, "answer": {"steps": [["c", "y + 10", "y + 24"], ["y", "s + 5", "s + 29"], ["s", "x + 9", "x + 38"], ["x", "o + 13", "o + 51"], ["o", "w + 15", "w + 66"], ["w", 8, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"w": 8}, "is_reverse": true}} | 5,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 19; t = f + 17; l = c + 14; f = z + 20; x = o + 13; o = w + 15; z = n + 4; a = w + 4; c = y + 10; s = x + 9; w = 8; n = u + 16; y = s + 5. If w = 8, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 10 to l, which gives l = y + 24.\n2. Substitute y = s + 5 to l, which gives l = s + 29.\n3. Substitute s = x + 9 to l, which gives l = x + 38.\n4. Substitute x = o + 13 to l, which gives l = o + 51.\n5. Substitute o = w + 15 to l, which gives l = w + 66.\n6. Substitute w = 8 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 5338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 19; t = f + 17; l = c + 14; f = z + 20; x = o + 13; o = w + 15; z = n + 4; a = w + 4; c = y + 10; s = x + 9; w = 8; n = u + 16; y = s + 5. If w = 8, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 5", "q": "r + 3", "t": "q + 9", "e": "t + 20", "w": "e + 14", "a": "w + 4", "b": "c + 11", "m": "b + 17", "y": "m + 17", "u": "y + 19", "z": "u + 14", "x": "z + 19", "c": 6}, "premises": {"c": 6}, "target": "a"}, "answer": {"steps": [["w", "e + 14", "e + 18"], ["e", "t + 20", "t + 38"], ["t", "q + 9", "q + 47"], ["q", "r + 3", "r + 50"], ["r", "c + 5", "c + 55"], ["c", 6, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"c": 6}, "is_reverse": true}} | 5,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 6; z = u + 14; r = c + 5; u = y + 19; b = c + 11; q = r + 3; x = z + 19; w = e + 14; a = w + 4; t = q + 9; e = t + 20; m = b + 17; y = m + 17. If c = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 14 to a, which gives a = e + 18.\n2. Substitute e = t + 20 to a, which gives a = t + 38.\n3. Substitute t = q + 9 to a, which gives a = q + 47.\n4. Substitute q = r + 3 to a, which gives a = r + 50.\n5. Substitute r = c + 5 to a, which gives a = c + 55.\n6. Substitute c = 6 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 5339,
"question": "Consider a system of variables where each variable is defined as follows: c = 6; z = u + 14; r = c + 5; u = y + 19; b = c + 11; q = r + 3; x = z + 19; w = e + 14; a = w + 4; t = q + 9; e = t + 20; m = b + 17; y = m + 17. If c = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 19", "b": "n + 15", "w": "b + 7", "c": "w + 15", "l": "c + 12", "m": "l + 11", "z": "h + 5", "y": "z + 5", "g": "y + 6", "t": "g + 17", "d": "t + 19", "j": "d + 18", "h": 16}, "premises": {"h": 16}, "target": "m"}, "answer": {"steps": [["l", "c + 12", "c + 23"], ["c", "w + 15", "w + 38"], ["w", "b + 7", "b + 45"], ["b", "n + 15", "n + 60"], ["n", "h + 19", "h + 79"], ["h", 16, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"h": 16}, "is_reverse": true}} | 5,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 6; w = b + 7; j = d + 18; h = 16; m = l + 11; d = t + 19; z = h + 5; y = z + 5; n = h + 19; b = n + 15; l = c + 12; c = w + 15; t = g + 17. Given that h = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 12 to m, which gives m = c + 23.\n2. Substitute c = w + 15 to m, which gives m = w + 38.\n3. Substitute w = b + 7 to m, which gives m = b + 45.\n4. Substitute b = n + 15 to m, which gives m = n + 60.\n5. Substitute n = h + 19 to m, which gives m = h + 79.\n6. Substitute h = 16 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 5340,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 6; w = b + 7; j = d + 18; h = 16; m = l + 11; d = t + 19; z = h + 5; y = z + 5; n = h + 19; b = n + 15; l = c + 12; c = w + 15; t = g + 17. Given that h = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 16", "u": "r + 10", "f": "u + 14", "w": "f + 20", "j": "w + 15", "n": "j + 13", "v": "l + 12", "i": "v + 14", "y": "i + 19", "x": "y + 13", "t": "x + 13", "e": "t + 14", "l": 15}, "premises": {"l": 15}, "target": "n"}, "answer": {"steps": [["j", "w + 15", "w + 28"], ["w", "f + 20", "f + 48"], ["f", "u + 14", "u + 62"], ["u", "r + 10", "r + 72"], ["r", "l + 16", "l + 88"], ["l", 15, "103"]], "target_var_name": "n", "target_value": 103, "value_dict": {"l": 15}, "is_reverse": true}} | 5,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 14; x = y + 13; y = i + 19; n = j + 13; i = v + 14; r = l + 16; e = t + 14; t = x + 13; l = 15; u = r + 10; w = f + 20; v = l + 12; j = w + 15. If l = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 15 to n, which gives n = w + 28.\n2. Substitute w = f + 20 to n, which gives n = f + 48.\n3. Substitute f = u + 14 to n, which gives n = u + 62.\n4. Substitute u = r + 10 to n, which gives n = r + 72.\n5. Substitute r = l + 16 to n, which gives n = l + 88.\n6. Substitute l = 15 to n, which gives n = 103.\n\nThus, the final answer is n = \\boxed{103}.",
"index": 5341,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 14; x = y + 13; y = i + 19; n = j + 13; i = v + 14; r = l + 16; e = t + 14; t = x + 13; l = 15; u = r + 10; w = f + 20; v = l + 12; j = w + 15. If l = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 2", "g": "r + 8", "t": "g + 3", "j": "t + 16", "q": "j + 13", "f": "q + 17", "p": "c + 13", "z": "p + 17", "e": "z + 20", "k": "e + 3", "h": "k + 1", "d": "h + 18", "c": 8}, "premises": {"c": 8}, "target": "f"}, "answer": {"steps": [["q", "j + 13", "j + 30"], ["j", "t + 16", "t + 46"], ["t", "g + 3", "g + 49"], ["g", "r + 8", "r + 57"], ["r", "c + 2", "c + 59"], ["c", 8, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"c": 8}, "is_reverse": true}} | 5,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 18; t = g + 3; c = 8; q = j + 13; p = c + 13; h = k + 1; f = q + 17; z = p + 17; k = e + 3; e = z + 20; j = t + 16; g = r + 8; r = c + 2. If c = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 13 to f, which gives f = j + 30.\n2. Substitute j = t + 16 to f, which gives f = t + 46.\n3. Substitute t = g + 3 to f, which gives f = g + 49.\n4. Substitute g = r + 8 to f, which gives f = r + 57.\n5. Substitute r = c + 2 to f, which gives f = c + 59.\n6. Substitute c = 8 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 5342,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 18; t = g + 3; c = 8; q = j + 13; p = c + 13; h = k + 1; f = q + 17; z = p + 17; k = e + 3; e = z + 20; j = t + 16; g = r + 8; r = c + 2. If c = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 16", "y": "n + 7", "l": "y + 10", "d": "l + 12", "s": "d + 18", "z": "s + 2", "r": "g + 5", "h": "r + 13", "p": "h + 1", "w": "p + 19", "o": "w + 1", "b": "o + 14", "g": 13}, "premises": {"g": 13}, "target": "z"}, "answer": {"steps": [["s", "d + 18", "d + 20"], ["d", "l + 12", "l + 32"], ["l", "y + 10", "y + 42"], ["y", "n + 7", "n + 49"], ["n", "g + 16", "g + 65"], ["g", 13, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"g": 13}, "is_reverse": true}} | 5,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 7; o = w + 1; g = 13; w = p + 19; p = h + 1; n = g + 16; b = o + 14; d = l + 12; z = s + 2; s = d + 18; l = y + 10; h = r + 13; r = g + 5. If g = 13, determine the 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 = d + 18 to z, which gives z = d + 20.\n2. Substitute d = l + 12 to z, which gives z = l + 32.\n3. Substitute l = y + 10 to z, which gives z = y + 42.\n4. Substitute y = n + 7 to z, which gives z = n + 49.\n5. Substitute n = g + 16 to z, which gives z = g + 65.\n6. Substitute g = 13 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 5343,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 7; o = w + 1; g = 13; w = p + 19; p = h + 1; n = g + 16; b = o + 14; d = l + 12; z = s + 2; s = d + 18; l = y + 10; h = r + 13; r = g + 5. If g = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 4", "i": "q + 9", "k": "i + 3", "g": "k + 10", "v": "g + 17", "h": "v + 15", "e": "n + 11", "u": "e + 17", "s": "u + 4", "o": "s + 15", "b": "o + 12", "p": "b + 13", "n": 12}, "premises": {"n": 12}, "target": "h"}, "answer": {"steps": [["v", "g + 17", "g + 32"], ["g", "k + 10", "k + 42"], ["k", "i + 3", "i + 45"], ["i", "q + 9", "q + 54"], ["q", "n + 4", "n + 58"], ["n", 12, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"n": 12}, "is_reverse": true}} | 5,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 4; q = n + 4; n = 12; v = g + 17; g = k + 10; u = e + 17; k = i + 3; p = b + 13; i = q + 9; b = o + 12; e = n + 11; o = s + 15; h = v + 15. Given that n = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 17 to h, which gives h = g + 32.\n2. Substitute g = k + 10 to h, which gives h = k + 42.\n3. Substitute k = i + 3 to h, which gives h = i + 45.\n4. Substitute i = q + 9 to h, which gives h = q + 54.\n5. Substitute q = n + 4 to h, which gives h = n + 58.\n6. Substitute n = 12 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 5344,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 4; q = n + 4; n = 12; v = g + 17; g = k + 10; u = e + 17; k = i + 3; p = b + 13; i = q + 9; b = o + 12; e = n + 11; o = s + 15; h = v + 15. Given that n = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 2", "o": "q + 12", "i": "o + 9", "d": "i + 14", "n": "d + 5", "g": "n + 18", "h": "s + 6", "z": "h + 13", "e": "z + 18", "y": "e + 7", "f": "y + 6", "m": "f + 19", "s": 3}, "premises": {"s": 3}, "target": "g"}, "answer": {"steps": [["n", "d + 5", "d + 23"], ["d", "i + 14", "i + 37"], ["i", "o + 9", "o + 46"], ["o", "q + 12", "q + 58"], ["q", "s + 2", "s + 60"], ["s", 3, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"s": 3}, "is_reverse": true}} | 5,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 12; s = 3; f = y + 6; d = i + 14; i = o + 9; z = h + 13; n = d + 5; q = s + 2; m = f + 19; g = n + 18; y = e + 7; e = z + 18; h = s + 6. If s = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 5 to g, which gives g = d + 23.\n2. Substitute d = i + 14 to g, which gives g = i + 37.\n3. Substitute i = o + 9 to g, which gives g = o + 46.\n4. Substitute o = q + 12 to g, which gives g = q + 58.\n5. Substitute q = s + 2 to g, which gives g = s + 60.\n6. Substitute s = 3 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 5345,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 12; s = 3; f = y + 6; d = i + 14; i = o + 9; z = h + 13; n = d + 5; q = s + 2; m = f + 19; g = n + 18; y = e + 7; e = z + 18; h = s + 6. If s = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 9", "l": "z + 6", "j": "l + 9", "c": "j + 12", "e": "c + 9", "m": "e + 4", "f": "y + 16", "p": "f + 1", "w": "p + 4", "i": "w + 7", "k": "i + 17", "g": "k + 19", "y": 20}, "premises": {"y": 20}, "target": "m"}, "answer": {"steps": [["e", "c + 9", "c + 13"], ["c", "j + 12", "j + 25"], ["j", "l + 9", "l + 34"], ["l", "z + 6", "z + 40"], ["z", "y + 9", "y + 49"], ["y", 20, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"y": 20}, "is_reverse": true}} | 5,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 9; l = z + 6; w = p + 4; c = j + 12; f = y + 16; p = f + 1; g = k + 19; y = 20; j = l + 9; k = i + 17; m = e + 4; i = w + 7; z = y + 9. If y = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 9 to m, which gives m = c + 13.\n2. Substitute c = j + 12 to m, which gives m = j + 25.\n3. Substitute j = l + 9 to m, which gives m = l + 34.\n4. Substitute l = z + 6 to m, which gives m = z + 40.\n5. Substitute z = y + 9 to m, which gives m = y + 49.\n6. Substitute y = 20 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 5346,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 9; l = z + 6; w = p + 4; c = j + 12; f = y + 16; p = f + 1; g = k + 19; y = 20; j = l + 9; k = i + 17; m = e + 4; i = w + 7; z = y + 9. If y = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 18", "r": "f + 16", "j": "r + 11", "q": "j + 13", "p": "q + 6", "i": "p + 13", "a": "b + 18", "c": "a + 10", "h": "c + 5", "w": "h + 10", "d": "w + 14", "v": "d + 18", "b": 4}, "premises": {"b": 4}, "target": "i"}, "answer": {"steps": [["p", "q + 6", "q + 19"], ["q", "j + 13", "j + 32"], ["j", "r + 11", "r + 43"], ["r", "f + 16", "f + 59"], ["f", "b + 18", "b + 77"], ["b", 4, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"b": 4}, "is_reverse": true}} | 5,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 5; r = f + 16; j = r + 11; a = b + 18; c = a + 10; v = d + 18; d = w + 14; b = 4; q = j + 13; i = p + 13; w = h + 10; p = q + 6; f = b + 18. If b = 4, 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 p = q + 6 to i, which gives i = q + 19.\n2. Substitute q = j + 13 to i, which gives i = j + 32.\n3. Substitute j = r + 11 to i, which gives i = r + 43.\n4. Substitute r = f + 16 to i, which gives i = f + 59.\n5. Substitute f = b + 18 to i, which gives i = b + 77.\n6. Substitute b = 4 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 5347,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 5; r = f + 16; j = r + 11; a = b + 18; c = a + 10; v = d + 18; d = w + 14; b = 4; q = j + 13; i = p + 13; w = h + 10; p = q + 6; f = b + 18. If b = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 19", "g": "e + 4", "m": "g + 18", "q": "m + 2", "h": "q + 9", "x": "h + 3", "c": "a + 5", "n": "c + 4", "w": "n + 2", "b": "w + 4", "d": "b + 12", "u": "d + 15", "a": 5}, "premises": {"a": 5}, "target": "x"}, "answer": {"steps": [["h", "q + 9", "q + 12"], ["q", "m + 2", "m + 14"], ["m", "g + 18", "g + 32"], ["g", "e + 4", "e + 36"], ["e", "a + 19", "a + 55"], ["a", 5, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"a": 5}, "is_reverse": true}} | 5,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 12; w = n + 2; c = a + 5; u = d + 15; q = m + 2; n = c + 4; x = h + 3; g = e + 4; b = w + 4; a = 5; m = g + 18; h = q + 9; e = a + 19. If a = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 9 to x, which gives x = q + 12.\n2. Substitute q = m + 2 to x, which gives x = m + 14.\n3. Substitute m = g + 18 to x, which gives x = g + 32.\n4. Substitute g = e + 4 to x, which gives x = e + 36.\n5. Substitute e = a + 19 to x, which gives x = a + 55.\n6. Substitute a = 5 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 5348,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 12; w = n + 2; c = a + 5; u = d + 15; q = m + 2; n = c + 4; x = h + 3; g = e + 4; b = w + 4; a = 5; m = g + 18; h = q + 9; e = a + 19. If a = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 7", "n": "e + 6", "k": "n + 18", "h": "k + 13", "d": "h + 15", "c": "d + 20", "z": "p + 11", "l": "z + 1", "v": "l + 1", "u": "v + 18", "w": "u + 17", "y": "w + 11", "p": 17}, "premises": {"p": 17}, "target": "c"}, "answer": {"steps": [["d", "h + 15", "h + 35"], ["h", "k + 13", "k + 48"], ["k", "n + 18", "n + 66"], ["n", "e + 6", "e + 72"], ["e", "p + 7", "p + 79"], ["p", 17, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"p": 17}, "is_reverse": true}} | 5,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = l + 1; d = h + 15; l = z + 1; u = v + 18; k = n + 18; h = k + 13; e = p + 7; c = d + 20; w = u + 17; n = e + 6; z = p + 11; y = w + 11; p = 17. Given that p = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 15 to c, which gives c = h + 35.\n2. Substitute h = k + 13 to c, which gives c = k + 48.\n3. Substitute k = n + 18 to c, which gives c = n + 66.\n4. Substitute n = e + 6 to c, which gives c = e + 72.\n5. Substitute e = p + 7 to c, which gives c = p + 79.\n6. Substitute p = 17 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 5349,
"question": "Suppose a collection of variables is related by the following definitions: v = l + 1; d = h + 15; l = z + 1; u = v + 18; k = n + 18; h = k + 13; e = p + 7; c = d + 20; w = u + 17; n = e + 6; z = p + 11; y = w + 11; p = 17. Given that p = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 20", "b": "d + 17", "o": "b + 20", "s": "o + 6", "e": "s + 14", "v": "e + 14", "p": "t + 12", "r": "p + 15", "l": "r + 5", "n": "l + 4", "j": "n + 1", "g": "j + 5", "t": 17}, "premises": {"t": 17}, "target": "v"}, "answer": {"steps": [["e", "s + 14", "s + 28"], ["s", "o + 6", "o + 34"], ["o", "b + 20", "b + 54"], ["b", "d + 17", "d + 71"], ["d", "t + 20", "t + 91"], ["t", 17, "108"]], "target_var_name": "v", "target_value": 108, "value_dict": {"t": 17}, "is_reverse": true}} | 5,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = o + 6; n = l + 4; t = 17; b = d + 17; o = b + 20; d = t + 20; j = n + 1; e = s + 14; l = r + 5; r = p + 15; v = e + 14; g = j + 5; p = t + 12. If t = 17, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 14 to v, which gives v = s + 28.\n2. Substitute s = o + 6 to v, which gives v = o + 34.\n3. Substitute o = b + 20 to v, which gives v = b + 54.\n4. Substitute b = d + 17 to v, which gives v = d + 71.\n5. Substitute d = t + 20 to v, which gives v = t + 91.\n6. Substitute t = 17 to v, which gives v = 108.\n\nThus, the final answer is v = \\boxed{108}.",
"index": 5350,
"question": "Consider a system of variables where each variable is defined as follows: s = o + 6; n = l + 4; t = 17; b = d + 17; o = b + 20; d = t + 20; j = n + 1; e = s + 14; l = r + 5; r = p + 15; v = e + 14; g = j + 5; p = t + 12. If t = 17, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 2", "l": "v + 5", "j": "l + 18", "n": "j + 9", "h": "n + 7", "r": "h + 15", "k": "i + 1", "q": "k + 13", "p": "q + 11", "b": "p + 20", "x": "b + 19", "o": "x + 9", "i": 9}, "premises": {"i": 9}, "target": "r"}, "answer": {"steps": [["h", "n + 7", "n + 22"], ["n", "j + 9", "j + 31"], ["j", "l + 18", "l + 49"], ["l", "v + 5", "v + 54"], ["v", "i + 2", "i + 56"], ["i", 9, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"i": 9}, "is_reverse": true}} | 5,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 2; o = x + 9; n = j + 9; l = v + 5; q = k + 13; p = q + 11; b = p + 20; x = b + 19; j = l + 18; i = 9; k = i + 1; r = h + 15; h = n + 7. Given that i = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 7 to r, which gives r = n + 22.\n2. Substitute n = j + 9 to r, which gives r = j + 31.\n3. Substitute j = l + 18 to r, which gives r = l + 49.\n4. Substitute l = v + 5 to r, which gives r = v + 54.\n5. Substitute v = i + 2 to r, which gives r = i + 56.\n6. Substitute i = 9 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 5351,
"question": "Suppose a collection of variables is related by the following definitions: v = i + 2; o = x + 9; n = j + 9; l = v + 5; q = k + 13; p = q + 11; b = p + 20; x = b + 19; j = l + 18; i = 9; k = i + 1; r = h + 15; h = n + 7. Given that i = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 7", "j": "u + 13", "y": "j + 18", "m": "y + 2", "r": "m + 20", "t": "r + 10", "i": "k + 2", "q": "i + 17", "a": "q + 6", "l": "a + 2", "d": "l + 20", "c": "d + 7", "k": 20}, "premises": {"k": 20}, "target": "t"}, "answer": {"steps": [["r", "m + 20", "m + 30"], ["m", "y + 2", "y + 32"], ["y", "j + 18", "j + 50"], ["j", "u + 13", "u + 63"], ["u", "k + 7", "k + 70"], ["k", 20, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"k": 20}, "is_reverse": true}} | 5,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 20; q = i + 17; l = a + 2; j = u + 13; u = k + 7; i = k + 2; r = m + 20; c = d + 7; y = j + 18; m = y + 2; t = r + 10; a = q + 6; k = 20. Given that k = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 20 to t, which gives t = m + 30.\n2. Substitute m = y + 2 to t, which gives t = y + 32.\n3. Substitute y = j + 18 to t, which gives t = j + 50.\n4. Substitute j = u + 13 to t, which gives t = u + 63.\n5. Substitute u = k + 7 to t, which gives t = k + 70.\n6. Substitute k = 20 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 5352,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 20; q = i + 17; l = a + 2; j = u + 13; u = k + 7; i = k + 2; r = m + 20; c = d + 7; y = j + 18; m = y + 2; t = r + 10; a = q + 6; k = 20. Given that k = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 15", "h": "v + 7", "b": "h + 1", "c": "b + 4", "s": "c + 10", "e": "s + 5", "p": "i + 11", "r": "p + 11", "f": "r + 8", "o": "f + 13", "w": "o + 8", "t": "w + 5", "i": 11}, "premises": {"i": 11}, "target": "e"}, "answer": {"steps": [["s", "c + 10", "c + 15"], ["c", "b + 4", "b + 19"], ["b", "h + 1", "h + 20"], ["h", "v + 7", "v + 27"], ["v", "i + 15", "i + 42"], ["i", 11, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"i": 11}, "is_reverse": true}} | 5,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 4; f = r + 8; i = 11; e = s + 5; h = v + 7; v = i + 15; o = f + 13; b = h + 1; w = o + 8; r = p + 11; s = c + 10; p = i + 11; t = w + 5. If i = 11, what is the resulting 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 s = c + 10 to e, which gives e = c + 15.\n2. Substitute c = b + 4 to e, which gives e = b + 19.\n3. Substitute b = h + 1 to e, which gives e = h + 20.\n4. Substitute h = v + 7 to e, which gives e = v + 27.\n5. Substitute v = i + 15 to e, which gives e = i + 42.\n6. Substitute i = 11 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 5353,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 4; f = r + 8; i = 11; e = s + 5; h = v + 7; v = i + 15; o = f + 13; b = h + 1; w = o + 8; r = p + 11; s = c + 10; p = i + 11; t = w + 5. If i = 11, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 15", "z": "h + 14", "b": "z + 3", "d": "b + 4", "w": "d + 4", "l": "w + 10", "r": "t + 8", "k": "r + 20", "j": "k + 14", "i": "j + 10", "v": "i + 15", "f": "v + 2", "t": 15}, "premises": {"t": 15}, "target": "l"}, "answer": {"steps": [["w", "d + 4", "d + 14"], ["d", "b + 4", "b + 18"], ["b", "z + 3", "z + 21"], ["z", "h + 14", "h + 35"], ["h", "t + 15", "t + 50"], ["t", 15, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"t": 15}, "is_reverse": true}} | 5,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 3; i = j + 10; h = t + 15; f = v + 2; z = h + 14; d = b + 4; l = w + 10; r = t + 8; t = 15; v = i + 15; k = r + 20; w = d + 4; j = k + 14. Given that t = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 4 to l, which gives l = d + 14.\n2. Substitute d = b + 4 to l, which gives l = b + 18.\n3. Substitute b = z + 3 to l, which gives l = z + 21.\n4. Substitute z = h + 14 to l, which gives l = h + 35.\n5. Substitute h = t + 15 to l, which gives l = t + 50.\n6. Substitute t = 15 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 5354,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 3; i = j + 10; h = t + 15; f = v + 2; z = h + 14; d = b + 4; l = w + 10; r = t + 8; t = 15; v = i + 15; k = r + 20; w = d + 4; j = k + 14. Given that t = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 16", "g": "s + 2", "k": "g + 16", "r": "k + 1", "i": "r + 2", "f": "i + 10", "p": "c + 15", "z": "p + 11", "d": "z + 11", "o": "d + 8", "h": "o + 15", "l": "h + 10", "c": 5}, "premises": {"c": 5}, "target": "f"}, "answer": {"steps": [["i", "r + 2", "r + 12"], ["r", "k + 1", "k + 13"], ["k", "g + 16", "g + 29"], ["g", "s + 2", "s + 31"], ["s", "c + 16", "c + 47"], ["c", 5, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"c": 5}, "is_reverse": true}} | 5,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 2; r = k + 1; i = r + 2; c = 5; p = c + 15; o = d + 8; l = h + 10; z = p + 11; d = z + 11; s = c + 16; k = g + 16; h = o + 15; f = i + 10. If c = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 2 to f, which gives f = r + 12.\n2. Substitute r = k + 1 to f, which gives f = k + 13.\n3. Substitute k = g + 16 to f, which gives f = g + 29.\n4. Substitute g = s + 2 to f, which gives f = s + 31.\n5. Substitute s = c + 16 to f, which gives f = c + 47.\n6. Substitute c = 5 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 5355,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 2; r = k + 1; i = r + 2; c = 5; p = c + 15; o = d + 8; l = h + 10; z = p + 11; d = z + 11; s = c + 16; k = g + 16; h = o + 15; f = i + 10. If c = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 19", "f": "r + 10", "g": "f + 7", "c": "g + 2", "l": "c + 12", "o": "l + 5", "a": "x + 4", "u": "a + 14", "k": "u + 19", "y": "k + 20", "d": "y + 6", "b": "d + 15", "x": 2}, "premises": {"x": 2}, "target": "o"}, "answer": {"steps": [["l", "c + 12", "c + 17"], ["c", "g + 2", "g + 19"], ["g", "f + 7", "f + 26"], ["f", "r + 10", "r + 36"], ["r", "x + 19", "x + 55"], ["x", 2, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"x": 2}, "is_reverse": true}} | 5,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 19; a = x + 4; c = g + 2; l = c + 12; x = 2; o = l + 5; r = x + 19; f = r + 10; u = a + 14; y = k + 20; d = y + 6; g = f + 7; b = d + 15. Given that x = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 12 to o, which gives o = c + 17.\n2. Substitute c = g + 2 to o, which gives o = g + 19.\n3. Substitute g = f + 7 to o, which gives o = f + 26.\n4. Substitute f = r + 10 to o, which gives o = r + 36.\n5. Substitute r = x + 19 to o, which gives o = x + 55.\n6. Substitute x = 2 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 5356,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 19; a = x + 4; c = g + 2; l = c + 12; x = 2; o = l + 5; r = x + 19; f = r + 10; u = a + 14; y = k + 20; d = y + 6; g = f + 7; b = d + 15. Given that x = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 6", "w": "x + 19", "k": "w + 10", "q": "k + 6", "y": "q + 9", "i": "y + 3", "s": "j + 5", "d": "s + 7", "l": "d + 13", "v": "l + 4", "h": "v + 18", "o": "h + 5", "j": 20}, "premises": {"j": 20}, "target": "i"}, "answer": {"steps": [["y", "q + 9", "q + 12"], ["q", "k + 6", "k + 18"], ["k", "w + 10", "w + 28"], ["w", "x + 19", "x + 47"], ["x", "j + 6", "j + 53"], ["j", 20, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"j": 20}, "is_reverse": true}} | 5,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 3; x = j + 6; v = l + 4; o = h + 5; s = j + 5; d = s + 7; h = v + 18; k = w + 10; w = x + 19; j = 20; y = q + 9; q = k + 6; l = d + 13. If j = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 9 to i, which gives i = q + 12.\n2. Substitute q = k + 6 to i, which gives i = k + 18.\n3. Substitute k = w + 10 to i, which gives i = w + 28.\n4. Substitute w = x + 19 to i, which gives i = x + 47.\n5. Substitute x = j + 6 to i, which gives i = j + 53.\n6. Substitute j = 20 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 5357,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 3; x = j + 6; v = l + 4; o = h + 5; s = j + 5; d = s + 7; h = v + 18; k = w + 10; w = x + 19; j = 20; y = q + 9; q = k + 6; l = d + 13. If j = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 20", "b": "g + 1", "e": "b + 9", "l": "e + 11", "s": "l + 7", "d": "s + 16", "o": "c + 5", "n": "o + 11", "y": "n + 16", "h": "y + 10", "x": "h + 20", "t": "x + 16", "c": 4}, "premises": {"c": 4}, "target": "d"}, "answer": {"steps": [["s", "l + 7", "l + 23"], ["l", "e + 11", "e + 34"], ["e", "b + 9", "b + 43"], ["b", "g + 1", "g + 44"], ["g", "c + 20", "c + 64"], ["c", 4, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"c": 4}, "is_reverse": true}} | 5,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 16; g = c + 20; x = h + 20; s = l + 7; y = n + 16; h = y + 10; c = 4; t = x + 16; l = e + 11; e = b + 9; n = o + 11; b = g + 1; o = c + 5. If c = 4, 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 s = l + 7 to d, which gives d = l + 23.\n2. Substitute l = e + 11 to d, which gives d = e + 34.\n3. Substitute e = b + 9 to d, which gives d = b + 43.\n4. Substitute b = g + 1 to d, which gives d = g + 44.\n5. Substitute g = c + 20 to d, which gives d = c + 64.\n6. Substitute c = 4 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 5358,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = s + 16; g = c + 20; x = h + 20; s = l + 7; y = n + 16; h = y + 10; c = 4; t = x + 16; l = e + 11; e = b + 9; n = o + 11; b = g + 1; o = c + 5. If c = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 12", "m": "g + 4", "q": "m + 1", "d": "q + 8", "z": "d + 1", "y": "z + 11", "l": "j + 12", "h": "l + 1", "r": "h + 19", "f": "r + 18", "v": "f + 6", "b": "v + 13", "j": 17}, "premises": {"j": 17}, "target": "y"}, "answer": {"steps": [["z", "d + 1", "d + 12"], ["d", "q + 8", "q + 20"], ["q", "m + 1", "m + 21"], ["m", "g + 4", "g + 25"], ["g", "j + 12", "j + 37"], ["j", 17, "54"]], "target_var_name": "y", "target_value": 54, "value_dict": {"j": 17}, "is_reverse": true}} | 5,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 17; m = g + 4; y = z + 11; f = r + 18; z = d + 1; v = f + 6; h = l + 1; q = m + 1; d = q + 8; r = h + 19; g = j + 12; b = v + 13; l = j + 12. Given that j = 17, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 1 to y, which gives y = d + 12.\n2. Substitute d = q + 8 to y, which gives y = q + 20.\n3. Substitute q = m + 1 to y, which gives y = m + 21.\n4. Substitute m = g + 4 to y, which gives y = g + 25.\n5. Substitute g = j + 12 to y, which gives y = j + 37.\n6. Substitute j = 17 to y, which gives y = 54.\n\nThus, the final answer is y = \\boxed{54}.",
"index": 5359,
"question": "Suppose a collection of variables is related by the following definitions: j = 17; m = g + 4; y = z + 11; f = r + 18; z = d + 1; v = f + 6; h = l + 1; q = m + 1; d = q + 8; r = h + 19; g = j + 12; b = v + 13; l = j + 12. Given that j = 17, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 19", "z": "d + 5", "r": "z + 18", "e": "r + 14", "i": "e + 3", "q": "i + 12", "x": "a + 13", "y": "x + 19", "u": "y + 2", "o": "u + 8", "c": "o + 18", "s": "c + 15", "a": 12}, "premises": {"a": 12}, "target": "q"}, "answer": {"steps": [["i", "e + 3", "e + 15"], ["e", "r + 14", "r + 29"], ["r", "z + 18", "z + 47"], ["z", "d + 5", "d + 52"], ["d", "a + 19", "a + 71"], ["a", 12, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"a": 12}, "is_reverse": true}} | 5,360 | 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 = e + 3; s = c + 15; e = r + 14; z = d + 5; u = y + 2; a = 12; o = u + 8; y = x + 19; d = a + 19; r = z + 18; c = o + 18; q = i + 12; x = a + 13. If a = 12, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 3 to q, which gives q = e + 15.\n2. Substitute e = r + 14 to q, which gives q = r + 29.\n3. Substitute r = z + 18 to q, which gives q = z + 47.\n4. Substitute z = d + 5 to q, which gives q = d + 52.\n5. Substitute d = a + 19 to q, which gives q = a + 71.\n6. Substitute a = 12 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 5360,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 3; s = c + 15; e = r + 14; z = d + 5; u = y + 2; a = 12; o = u + 8; y = x + 19; d = a + 19; r = z + 18; c = o + 18; q = i + 12; x = a + 13. If a = 12, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 6", "p": "j + 6", "i": "p + 8", "n": "i + 11", "k": "n + 6", "c": "k + 20", "g": "z + 17", "h": "g + 16", "a": "h + 14", "w": "a + 1", "b": "w + 6", "l": "b + 4", "z": 1}, "premises": {"z": 1}, "target": "c"}, "answer": {"steps": [["k", "n + 6", "n + 26"], ["n", "i + 11", "i + 37"], ["i", "p + 8", "p + 45"], ["p", "j + 6", "j + 51"], ["j", "z + 6", "z + 57"], ["z", 1, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"z": 1}, "is_reverse": true}} | 5,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 1; i = p + 8; c = k + 20; h = g + 16; n = i + 11; j = z + 6; p = j + 6; k = n + 6; g = z + 17; w = a + 1; l = b + 4; b = w + 6; a = h + 14. Given that z = 1, find the 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 k = n + 6 to c, which gives c = n + 26.\n2. Substitute n = i + 11 to c, which gives c = i + 37.\n3. Substitute i = p + 8 to c, which gives c = p + 45.\n4. Substitute p = j + 6 to c, which gives c = j + 51.\n5. Substitute j = z + 6 to c, which gives c = z + 57.\n6. Substitute z = 1 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 5361,
"question": "Suppose a collection of variables is related by the following definitions: z = 1; i = p + 8; c = k + 20; h = g + 16; n = i + 11; j = z + 6; p = j + 6; k = n + 6; g = z + 17; w = a + 1; l = b + 4; b = w + 6; a = h + 14. Given that z = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 7", "w": "o + 4", "f": "w + 2", "l": "f + 4", "q": "l + 3", "h": "q + 3", "r": "e + 13", "n": "r + 11", "i": "n + 16", "g": "i + 13", "u": "g + 6", "z": "u + 8", "e": 1}, "premises": {"e": 1}, "target": "h"}, "answer": {"steps": [["q", "l + 3", "l + 6"], ["l", "f + 4", "f + 10"], ["f", "w + 2", "w + 12"], ["w", "o + 4", "o + 16"], ["o", "e + 7", "e + 23"], ["e", 1, "24"]], "target_var_name": "h", "target_value": 24, "value_dict": {"e": 1}, "is_reverse": true}} | 5,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 7; z = u + 8; h = q + 3; w = o + 4; r = e + 13; f = w + 2; g = i + 13; q = l + 3; l = f + 4; i = n + 16; u = g + 6; e = 1; n = r + 11. If e = 1, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 24,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 3 to h, which gives h = l + 6.\n2. Substitute l = f + 4 to h, which gives h = f + 10.\n3. Substitute f = w + 2 to h, which gives h = w + 12.\n4. Substitute w = o + 4 to h, which gives h = o + 16.\n5. Substitute o = e + 7 to h, which gives h = e + 23.\n6. Substitute e = 1 to h, which gives h = 24.\n\nThus, the final answer is h = \\boxed{24}.",
"index": 5362,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 7; z = u + 8; h = q + 3; w = o + 4; r = e + 13; f = w + 2; g = i + 13; q = l + 3; l = f + 4; i = n + 16; u = g + 6; e = 1; n = r + 11. If e = 1, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 6", "v": "t + 18", "h": "v + 7", "z": "h + 12", "s": "z + 4", "r": "s + 15", "i": "q + 11", "g": "i + 17", "m": "g + 19", "k": "m + 10", "w": "k + 10", "o": "w + 7", "q": 7}, "premises": {"q": 7}, "target": "r"}, "answer": {"steps": [["s", "z + 4", "z + 19"], ["z", "h + 12", "h + 31"], ["h", "v + 7", "v + 38"], ["v", "t + 18", "t + 56"], ["t", "q + 6", "q + 62"], ["q", 7, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"q": 7}, "is_reverse": true}} | 5,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = g + 19; h = v + 7; i = q + 11; v = t + 18; k = m + 10; z = h + 12; s = z + 4; g = i + 17; t = q + 6; q = 7; r = s + 15; o = w + 7; w = k + 10. Given that q = 7, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 4 to r, which gives r = z + 19.\n2. Substitute z = h + 12 to r, which gives r = h + 31.\n3. Substitute h = v + 7 to r, which gives r = v + 38.\n4. Substitute v = t + 18 to r, which gives r = t + 56.\n5. Substitute t = q + 6 to r, which gives r = q + 62.\n6. Substitute q = 7 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 5363,
"question": "Suppose a collection of variables is related by the following definitions: m = g + 19; h = v + 7; i = q + 11; v = t + 18; k = m + 10; z = h + 12; s = z + 4; g = i + 17; t = q + 6; q = 7; r = s + 15; o = w + 7; w = k + 10. Given that q = 7, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 16", "i": "b + 7", "o": "i + 16", "y": "o + 5", "k": "y + 20", "x": "k + 9", "c": "s + 14", "a": "c + 17", "d": "a + 19", "f": "d + 11", "r": "f + 18", "u": "r + 9", "s": 1}, "premises": {"s": 1}, "target": "x"}, "answer": {"steps": [["k", "y + 20", "y + 29"], ["y", "o + 5", "o + 34"], ["o", "i + 16", "i + 50"], ["i", "b + 7", "b + 57"], ["b", "s + 16", "s + 73"], ["s", 1, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"s": 1}, "is_reverse": true}} | 5,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = b + 7; o = i + 16; a = c + 17; c = s + 14; y = o + 5; b = s + 16; x = k + 9; d = a + 19; r = f + 18; s = 1; f = d + 11; k = y + 20; u = r + 9. If s = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 20 to x, which gives x = y + 29.\n2. Substitute y = o + 5 to x, which gives x = o + 34.\n3. Substitute o = i + 16 to x, which gives x = i + 50.\n4. Substitute i = b + 7 to x, which gives x = b + 57.\n5. Substitute b = s + 16 to x, which gives x = s + 73.\n6. Substitute s = 1 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 5364,
"question": "Consider a system of variables where each variable is defined as follows: i = b + 7; o = i + 16; a = c + 17; c = s + 14; y = o + 5; b = s + 16; x = k + 9; d = a + 19; r = f + 18; s = 1; f = d + 11; k = y + 20; u = r + 9. If s = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 6", "c": "m + 12", "h": "c + 3", "i": "h + 9", "k": "i + 6", "b": "k + 1", "o": "g + 5", "s": "o + 5", "j": "s + 6", "x": "j + 19", "y": "x + 7", "f": "y + 2", "g": 13}, "premises": {"g": 13}, "target": "b"}, "answer": {"steps": [["k", "i + 6", "i + 7"], ["i", "h + 9", "h + 16"], ["h", "c + 3", "c + 19"], ["c", "m + 12", "m + 31"], ["m", "g + 6", "g + 37"], ["g", 13, "50"]], "target_var_name": "b", "target_value": 50, "value_dict": {"g": 13}, "is_reverse": true}} | 5,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 5; m = g + 6; g = 13; j = s + 6; f = y + 2; k = i + 6; y = x + 7; o = g + 5; h = c + 3; i = h + 9; b = k + 1; x = j + 19; c = m + 12. If g = 13, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 6 to b, which gives b = i + 7.\n2. Substitute i = h + 9 to b, which gives b = h + 16.\n3. Substitute h = c + 3 to b, which gives b = c + 19.\n4. Substitute c = m + 12 to b, which gives b = m + 31.\n5. Substitute m = g + 6 to b, which gives b = g + 37.\n6. Substitute g = 13 to b, which gives b = 50.\n\nThus, the final answer is b = \\boxed{50}.",
"index": 5365,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 5; m = g + 6; g = 13; j = s + 6; f = y + 2; k = i + 6; y = x + 7; o = g + 5; h = c + 3; i = h + 9; b = k + 1; x = j + 19; c = m + 12. If g = 13, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 8", "e": "p + 13", "m": "e + 4", "z": "m + 8", "l": "z + 5", "n": "l + 11", "q": "x + 20", "i": "q + 20", "v": "i + 5", "r": "v + 15", "h": "r + 14", "d": "h + 12", "x": 8}, "premises": {"x": 8}, "target": "n"}, "answer": {"steps": [["l", "z + 5", "z + 16"], ["z", "m + 8", "m + 24"], ["m", "e + 4", "e + 28"], ["e", "p + 13", "p + 41"], ["p", "x + 8", "x + 49"], ["x", 8, "57"]], "target_var_name": "n", "target_value": 57, "value_dict": {"x": 8}, "is_reverse": true}} | 5,366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 15; e = p + 13; n = l + 11; z = m + 8; i = q + 20; l = z + 5; q = x + 20; d = h + 12; p = x + 8; v = i + 5; x = 8; h = r + 14; m = e + 4. If x = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 5 to n, which gives n = z + 16.\n2. Substitute z = m + 8 to n, which gives n = m + 24.\n3. Substitute m = e + 4 to n, which gives n = e + 28.\n4. Substitute e = p + 13 to n, which gives n = p + 41.\n5. Substitute p = x + 8 to n, which gives n = x + 49.\n6. Substitute x = 8 to n, which gives n = 57.\n\nThus, the final answer is n = \\boxed{57}.",
"index": 5366,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 15; e = p + 13; n = l + 11; z = m + 8; i = q + 20; l = z + 5; q = x + 20; d = h + 12; p = x + 8; v = i + 5; x = 8; h = r + 14; m = e + 4. If x = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 1", "i": "b + 12", "e": "i + 7", "m": "e + 18", "p": "m + 11", "k": "p + 20", "j": "r + 10", "z": "j + 12", "u": "z + 2", "d": "u + 17", "g": "d + 17", "w": "g + 14", "r": 9}, "premises": {"r": 9}, "target": "k"}, "answer": {"steps": [["p", "m + 11", "m + 31"], ["m", "e + 18", "e + 49"], ["e", "i + 7", "i + 56"], ["i", "b + 12", "b + 68"], ["b", "r + 1", "r + 69"], ["r", 9, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"r": 9}, "is_reverse": true}} | 5,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 17; e = i + 7; w = g + 14; m = e + 18; z = j + 12; i = b + 12; b = r + 1; k = p + 20; d = u + 17; j = r + 10; p = m + 11; u = z + 2; r = 9. Given that r = 9, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 11 to k, which gives k = m + 31.\n2. Substitute m = e + 18 to k, which gives k = e + 49.\n3. Substitute e = i + 7 to k, which gives k = i + 56.\n4. Substitute i = b + 12 to k, which gives k = b + 68.\n5. Substitute b = r + 1 to k, which gives k = r + 69.\n6. Substitute r = 9 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 5367,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 17; e = i + 7; w = g + 14; m = e + 18; z = j + 12; i = b + 12; b = r + 1; k = p + 20; d = u + 17; j = r + 10; p = m + 11; u = z + 2; r = 9. Given that r = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 11", "d": "w + 20", "u": "d + 2", "o": "u + 13", "c": "o + 8", "i": "c + 2", "q": "a + 8", "t": "q + 5", "p": "t + 5", "r": "p + 17", "l": "r + 5", "m": "l + 18", "a": 10}, "premises": {"a": 10}, "target": "i"}, "answer": {"steps": [["c", "o + 8", "o + 10"], ["o", "u + 13", "u + 23"], ["u", "d + 2", "d + 25"], ["d", "w + 20", "w + 45"], ["w", "a + 11", "a + 56"], ["a", 10, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"a": 10}, "is_reverse": true}} | 5,368 | 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 = a + 8; w = a + 11; m = l + 18; l = r + 5; d = w + 20; i = c + 2; o = u + 13; u = d + 2; p = t + 5; r = p + 17; t = q + 5; a = 10; c = o + 8. If a = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 8 to i, which gives i = o + 10.\n2. Substitute o = u + 13 to i, which gives i = u + 23.\n3. Substitute u = d + 2 to i, which gives i = d + 25.\n4. Substitute d = w + 20 to i, which gives i = w + 45.\n5. Substitute w = a + 11 to i, which gives i = a + 56.\n6. Substitute a = 10 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 5368,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 8; w = a + 11; m = l + 18; l = r + 5; d = w + 20; i = c + 2; o = u + 13; u = d + 2; p = t + 5; r = p + 17; t = q + 5; a = 10; c = o + 8. If a = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 18", "o": "a + 12", "t": "o + 17", "s": "t + 16", "h": "s + 14", "q": "h + 13", "x": "n + 20", "i": "x + 1", "f": "i + 6", "m": "f + 2", "p": "m + 1", "c": "p + 11", "n": 2}, "premises": {"n": 2}, "target": "q"}, "answer": {"steps": [["h", "s + 14", "s + 27"], ["s", "t + 16", "t + 43"], ["t", "o + 17", "o + 60"], ["o", "a + 12", "a + 72"], ["a", "n + 18", "n + 90"], ["n", 2, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"n": 2}, "is_reverse": true}} | 5,369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 13; s = t + 16; m = f + 2; p = m + 1; f = i + 6; n = 2; h = s + 14; x = n + 20; o = a + 12; a = n + 18; i = x + 1; c = p + 11; t = o + 17. Given that n = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 14 to q, which gives q = s + 27.\n2. Substitute s = t + 16 to q, which gives q = t + 43.\n3. Substitute t = o + 17 to q, which gives q = o + 60.\n4. Substitute o = a + 12 to q, which gives q = a + 72.\n5. Substitute a = n + 18 to q, which gives q = n + 90.\n6. Substitute n = 2 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 5369,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 13; s = t + 16; m = f + 2; p = m + 1; f = i + 6; n = 2; h = s + 14; x = n + 20; o = a + 12; a = n + 18; i = x + 1; c = p + 11; t = o + 17. Given that n = 2, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 7", "w": "b + 13", "r": "w + 5", "q": "r + 2", "t": "q + 5", "y": "t + 12", "p": "h + 15", "s": "p + 10", "f": "s + 19", "u": "f + 1", "a": "u + 10", "n": "a + 6", "h": 17}, "premises": {"h": 17}, "target": "y"}, "answer": {"steps": [["t", "q + 5", "q + 17"], ["q", "r + 2", "r + 19"], ["r", "w + 5", "w + 24"], ["w", "b + 13", "b + 37"], ["b", "h + 7", "h + 44"], ["h", 17, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"h": 17}, "is_reverse": true}} | 5,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 5; n = a + 6; s = p + 10; a = u + 10; p = h + 15; b = h + 7; f = s + 19; h = 17; q = r + 2; t = q + 5; u = f + 1; w = b + 13; y = t + 12. Given that h = 17, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 5 to y, which gives y = q + 17.\n2. Substitute q = r + 2 to y, which gives y = r + 19.\n3. Substitute r = w + 5 to y, which gives y = w + 24.\n4. Substitute w = b + 13 to y, which gives y = b + 37.\n5. Substitute b = h + 7 to y, which gives y = h + 44.\n6. Substitute h = 17 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 5370,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 5; n = a + 6; s = p + 10; a = u + 10; p = h + 15; b = h + 7; f = s + 19; h = 17; q = r + 2; t = q + 5; u = f + 1; w = b + 13; y = t + 12. Given that h = 17, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 1", "n": "v + 5", "s": "n + 20", "z": "s + 19", "p": "z + 10", "g": "p + 12", "e": "t + 12", "c": "e + 5", "r": "c + 2", "u": "r + 12", "d": "u + 3", "o": "d + 18", "t": 19}, "premises": {"t": 19}, "target": "g"}, "answer": {"steps": [["p", "z + 10", "z + 22"], ["z", "s + 19", "s + 41"], ["s", "n + 20", "n + 61"], ["n", "v + 5", "v + 66"], ["v", "t + 1", "t + 67"], ["t", 19, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"t": 19}, "is_reverse": true}} | 5,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = p + 12; d = u + 3; u = r + 12; r = c + 2; z = s + 19; c = e + 5; e = t + 12; n = v + 5; s = n + 20; o = d + 18; t = 19; v = t + 1; p = z + 10. If t = 19, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 10 to g, which gives g = z + 22.\n2. Substitute z = s + 19 to g, which gives g = s + 41.\n3. Substitute s = n + 20 to g, which gives g = n + 61.\n4. Substitute n = v + 5 to g, which gives g = v + 66.\n5. Substitute v = t + 1 to g, which gives g = t + 67.\n6. Substitute t = 19 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 5371,
"question": "Consider a system of variables where each variable is defined as follows: g = p + 12; d = u + 3; u = r + 12; r = c + 2; z = s + 19; c = e + 5; e = t + 12; n = v + 5; s = n + 20; o = d + 18; t = 19; v = t + 1; p = z + 10. If t = 19, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 3", "t": "b + 18", "l": "t + 14", "v": "l + 12", "u": "v + 18", "n": "u + 12", "r": "z + 5", "k": "r + 1", "m": "k + 2", "p": "m + 5", "g": "p + 14", "o": "g + 10", "z": 16}, "premises": {"z": 16}, "target": "n"}, "answer": {"steps": [["u", "v + 18", "v + 30"], ["v", "l + 12", "l + 42"], ["l", "t + 14", "t + 56"], ["t", "b + 18", "b + 74"], ["b", "z + 3", "z + 77"], ["z", 16, "93"]], "target_var_name": "n", "target_value": 93, "value_dict": {"z": 16}, "is_reverse": true}} | 5,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 3; t = b + 18; g = p + 14; l = t + 14; r = z + 5; v = l + 12; u = v + 18; m = k + 2; n = u + 12; p = m + 5; z = 16; o = g + 10; k = r + 1. If z = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 18 to n, which gives n = v + 30.\n2. Substitute v = l + 12 to n, which gives n = l + 42.\n3. Substitute l = t + 14 to n, which gives n = t + 56.\n4. Substitute t = b + 18 to n, which gives n = b + 74.\n5. Substitute b = z + 3 to n, which gives n = z + 77.\n6. Substitute z = 16 to n, which gives n = 93.\n\nThus, the final answer is n = \\boxed{93}.",
"index": 5372,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 3; t = b + 18; g = p + 14; l = t + 14; r = z + 5; v = l + 12; u = v + 18; m = k + 2; n = u + 12; p = m + 5; z = 16; o = g + 10; k = r + 1. If z = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 18", "z": "o + 13", "x": "z + 7", "q": "x + 15", "g": "q + 15", "y": "g + 11", "d": "t + 16", "a": "d + 8", "j": "a + 7", "h": "j + 3", "e": "h + 17", "v": "e + 7", "t": 19}, "premises": {"t": 19}, "target": "y"}, "answer": {"steps": [["g", "q + 15", "q + 26"], ["q", "x + 15", "x + 41"], ["x", "z + 7", "z + 48"], ["z", "o + 13", "o + 61"], ["o", "t + 18", "t + 79"], ["t", 19, "98"]], "target_var_name": "y", "target_value": 98, "value_dict": {"t": 19}, "is_reverse": true}} | 5,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 16; h = j + 3; v = e + 7; a = d + 8; g = q + 15; z = o + 13; j = a + 7; y = g + 11; x = z + 7; o = t + 18; q = x + 15; e = h + 17; t = 19. If t = 19, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 15 to y, which gives y = q + 26.\n2. Substitute q = x + 15 to y, which gives y = x + 41.\n3. Substitute x = z + 7 to y, which gives y = z + 48.\n4. Substitute z = o + 13 to y, which gives y = o + 61.\n5. Substitute o = t + 18 to y, which gives y = t + 79.\n6. Substitute t = 19 to y, which gives y = 98.\n\nThus, the final answer is y = \\boxed{98}.",
"index": 5373,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 16; h = j + 3; v = e + 7; a = d + 8; g = q + 15; z = o + 13; j = a + 7; y = g + 11; x = z + 7; o = t + 18; q = x + 15; e = h + 17; t = 19. If t = 19, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 10", "k": "f + 4", "a": "k + 15", "g": "a + 3", "c": "g + 6", "y": "c + 9", "r": "v + 9", "e": "r + 2", "q": "e + 6", "j": "q + 15", "l": "j + 7", "t": "l + 6", "v": 9}, "premises": {"v": 9}, "target": "y"}, "answer": {"steps": [["c", "g + 6", "g + 15"], ["g", "a + 3", "a + 18"], ["a", "k + 15", "k + 33"], ["k", "f + 4", "f + 37"], ["f", "v + 10", "v + 47"], ["v", 9, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"v": 9}, "is_reverse": true}} | 5,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 3; k = f + 4; a = k + 15; c = g + 6; l = j + 7; j = q + 15; r = v + 9; e = r + 2; t = l + 6; f = v + 10; q = e + 6; y = c + 9; v = 9. If v = 9, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 6 to y, which gives y = g + 15.\n2. Substitute g = a + 3 to y, which gives y = a + 18.\n3. Substitute a = k + 15 to y, which gives y = k + 33.\n4. Substitute k = f + 4 to y, which gives y = f + 37.\n5. Substitute f = v + 10 to y, which gives y = v + 47.\n6. Substitute v = 9 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 5374,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 3; k = f + 4; a = k + 15; c = g + 6; l = j + 7; j = q + 15; r = v + 9; e = r + 2; t = l + 6; f = v + 10; q = e + 6; y = c + 9; v = 9. If v = 9, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 4", "h": "j + 18", "p": "h + 17", "k": "p + 13", "l": "k + 16", "c": "l + 4", "e": "b + 3", "s": "e + 14", "x": "s + 12", "m": "x + 7", "g": "m + 6", "t": "g + 20", "b": 20}, "premises": {"b": 20}, "target": "c"}, "answer": {"steps": [["l", "k + 16", "k + 20"], ["k", "p + 13", "p + 33"], ["p", "h + 17", "h + 50"], ["h", "j + 18", "j + 68"], ["j", "b + 4", "b + 72"], ["b", 20, "92"]], "target_var_name": "c", "target_value": 92, "value_dict": {"b": 20}, "is_reverse": true}} | 5,375 | 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 = x + 7; s = e + 14; e = b + 3; g = m + 6; k = p + 13; c = l + 4; x = s + 12; j = b + 4; b = 20; l = k + 16; p = h + 17; t = g + 20; h = j + 18. If b = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 16 to c, which gives c = k + 20.\n2. Substitute k = p + 13 to c, which gives c = p + 33.\n3. Substitute p = h + 17 to c, which gives c = h + 50.\n4. Substitute h = j + 18 to c, which gives c = j + 68.\n5. Substitute j = b + 4 to c, which gives c = b + 72.\n6. Substitute b = 20 to c, which gives c = 92.\n\nThus, the final answer is c = \\boxed{92}.",
"index": 5375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 7; s = e + 14; e = b + 3; g = m + 6; k = p + 13; c = l + 4; x = s + 12; j = b + 4; b = 20; l = k + 16; p = h + 17; t = g + 20; h = j + 18. If b = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 6", "x": "u + 13", "b": "x + 5", "m": "b + 2", "o": "m + 14", "p": "o + 5", "r": "d + 3", "w": "r + 12", "e": "w + 15", "y": "e + 14", "q": "y + 7", "l": "q + 18", "d": 19}, "premises": {"d": 19}, "target": "p"}, "answer": {"steps": [["o", "m + 14", "m + 19"], ["m", "b + 2", "b + 21"], ["b", "x + 5", "x + 26"], ["x", "u + 13", "u + 39"], ["u", "d + 6", "d + 45"], ["d", 19, "64"]], "target_var_name": "p", "target_value": 64, "value_dict": {"d": 19}, "is_reverse": true}} | 5,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 5; l = q + 18; r = d + 3; x = u + 13; w = r + 12; p = o + 5; q = y + 7; u = d + 6; m = b + 2; o = m + 14; d = 19; y = e + 14; e = w + 15. If d = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 14 to p, which gives p = m + 19.\n2. Substitute m = b + 2 to p, which gives p = b + 21.\n3. Substitute b = x + 5 to p, which gives p = x + 26.\n4. Substitute x = u + 13 to p, which gives p = u + 39.\n5. Substitute u = d + 6 to p, which gives p = d + 45.\n6. Substitute d = 19 to p, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 5376,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 5; l = q + 18; r = d + 3; x = u + 13; w = r + 12; p = o + 5; q = y + 7; u = d + 6; m = b + 2; o = m + 14; d = 19; y = e + 14; e = w + 15. If d = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 3", "v": "k + 6", "u": "v + 4", "f": "u + 6", "j": "f + 3", "b": "j + 16", "a": "w + 14", "d": "a + 13", "s": "d + 1", "c": "s + 12", "m": "c + 5", "h": "m + 6", "w": 2}, "premises": {"w": 2}, "target": "b"}, "answer": {"steps": [["j", "f + 3", "f + 19"], ["f", "u + 6", "u + 25"], ["u", "v + 4", "v + 29"], ["v", "k + 6", "k + 35"], ["k", "w + 3", "w + 38"], ["w", 2, "40"]], "target_var_name": "b", "target_value": 40, "value_dict": {"w": 2}, "is_reverse": true}} | 5,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 16; f = u + 6; h = m + 6; k = w + 3; c = s + 12; j = f + 3; w = 2; a = w + 14; d = a + 13; v = k + 6; m = c + 5; s = d + 1; u = v + 4. If w = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 3 to b, which gives b = f + 19.\n2. Substitute f = u + 6 to b, which gives b = u + 25.\n3. Substitute u = v + 4 to b, which gives b = v + 29.\n4. Substitute v = k + 6 to b, which gives b = k + 35.\n5. Substitute k = w + 3 to b, which gives b = w + 38.\n6. Substitute w = 2 to b, which gives b = 40.\n\nThus, the final answer is b = \\boxed{40}.",
"index": 5377,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 16; f = u + 6; h = m + 6; k = w + 3; c = s + 12; j = f + 3; w = 2; a = w + 14; d = a + 13; v = k + 6; m = c + 5; s = d + 1; u = v + 4. If w = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 17", "n": "x + 6", "i": "n + 7", "w": "i + 1", "v": "w + 16", "z": "v + 17", "f": "g + 5", "s": "f + 8", "u": "s + 17", "j": "u + 10", "o": "j + 1", "r": "o + 12", "g": 16}, "premises": {"g": 16}, "target": "z"}, "answer": {"steps": [["v", "w + 16", "w + 33"], ["w", "i + 1", "i + 34"], ["i", "n + 7", "n + 41"], ["n", "x + 6", "x + 47"], ["x", "g + 17", "g + 64"], ["g", 16, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"g": 16}, "is_reverse": true}} | 5,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = 16; z = v + 17; j = u + 10; w = i + 1; n = x + 6; u = s + 17; s = f + 8; i = n + 7; v = w + 16; x = g + 17; o = j + 1; f = g + 5; r = o + 12. If g = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 16 to z, which gives z = w + 33.\n2. Substitute w = i + 1 to z, which gives z = i + 34.\n3. Substitute i = n + 7 to z, which gives z = n + 41.\n4. Substitute n = x + 6 to z, which gives z = x + 47.\n5. Substitute x = g + 17 to z, which gives z = g + 64.\n6. Substitute g = 16 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 5378,
"question": "Consider a system of variables where each variable is defined as follows: g = 16; z = v + 17; j = u + 10; w = i + 1; n = x + 6; u = s + 17; s = f + 8; i = n + 7; v = w + 16; x = g + 17; o = j + 1; f = g + 5; r = o + 12. If g = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 8", "r": "k + 9", "m": "r + 14", "u": "m + 17", "p": "u + 10", "z": "p + 14", "s": "g + 5", "q": "s + 1", "n": "q + 9", "a": "n + 17", "f": "a + 7", "x": "f + 11", "g": 6}, "premises": {"g": 6}, "target": "z"}, "answer": {"steps": [["p", "u + 10", "u + 24"], ["u", "m + 17", "m + 41"], ["m", "r + 14", "r + 55"], ["r", "k + 9", "k + 64"], ["k", "g + 8", "g + 72"], ["g", 6, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"g": 6}, "is_reverse": true}} | 5,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 7; m = r + 14; k = g + 8; g = 6; x = f + 11; a = n + 17; q = s + 1; s = g + 5; u = m + 17; z = p + 14; p = u + 10; n = q + 9; r = k + 9. If g = 6, 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 p = u + 10 to z, which gives z = u + 24.\n2. Substitute u = m + 17 to z, which gives z = m + 41.\n3. Substitute m = r + 14 to z, which gives z = r + 55.\n4. Substitute r = k + 9 to z, which gives z = k + 64.\n5. Substitute k = g + 8 to z, which gives z = g + 72.\n6. Substitute g = 6 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 5379,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 7; m = r + 14; k = g + 8; g = 6; x = f + 11; a = n + 17; q = s + 1; s = g + 5; u = m + 17; z = p + 14; p = u + 10; n = q + 9; r = k + 9. If g = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 4", "d": "o + 11", "h": "d + 17", "g": "h + 12", "z": "g + 12", "m": "z + 7", "a": "t + 18", "f": "a + 20", "e": "f + 16", "r": "e + 19", "w": "r + 15", "b": "w + 16", "t": 15}, "premises": {"t": 15}, "target": "m"}, "answer": {"steps": [["z", "g + 12", "g + 19"], ["g", "h + 12", "h + 31"], ["h", "d + 17", "d + 48"], ["d", "o + 11", "o + 59"], ["o", "t + 4", "t + 63"], ["t", 15, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"t": 15}, "is_reverse": true}} | 5,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = d + 17; g = h + 12; z = g + 12; w = r + 15; e = f + 16; o = t + 4; t = 15; r = e + 19; d = o + 11; m = z + 7; f = a + 20; a = t + 18; b = w + 16. Given that t = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 12 to m, which gives m = g + 19.\n2. Substitute g = h + 12 to m, which gives m = h + 31.\n3. Substitute h = d + 17 to m, which gives m = d + 48.\n4. Substitute d = o + 11 to m, which gives m = o + 59.\n5. Substitute o = t + 4 to m, which gives m = t + 63.\n6. Substitute t = 15 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 5380,
"question": "Suppose a collection of variables is related by the following definitions: h = d + 17; g = h + 12; z = g + 12; w = r + 15; e = f + 16; o = t + 4; t = 15; r = e + 19; d = o + 11; m = z + 7; f = a + 20; a = t + 18; b = w + 16. Given that t = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 20", "o": "w + 8", "m": "o + 4", "c": "m + 2", "t": "c + 1", "k": "t + 13", "g": "u + 12", "a": "g + 3", "e": "a + 14", "r": "e + 8", "v": "r + 5", "z": "v + 5", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["t", "c + 1", "c + 14"], ["c", "m + 2", "m + 16"], ["m", "o + 4", "o + 20"], ["o", "w + 8", "w + 28"], ["w", "u + 20", "u + 48"], ["u", 2, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"u": 2}, "is_reverse": true}} | 5,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 13; e = a + 14; g = u + 12; v = r + 5; t = c + 1; m = o + 4; w = u + 20; o = w + 8; z = v + 5; a = g + 3; c = m + 2; r = e + 8; u = 2. If u = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 1 to k, which gives k = c + 14.\n2. Substitute c = m + 2 to k, which gives k = m + 16.\n3. Substitute m = o + 4 to k, which gives k = o + 20.\n4. Substitute o = w + 8 to k, which gives k = w + 28.\n5. Substitute w = u + 20 to k, which gives k = u + 48.\n6. Substitute u = 2 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 5381,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 13; e = a + 14; g = u + 12; v = r + 5; t = c + 1; m = o + 4; w = u + 20; o = w + 8; z = v + 5; a = g + 3; c = m + 2; r = e + 8; u = 2. If u = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 19", "q": "i + 9", "x": "q + 6", "g": "x + 19", "l": "g + 1", "y": "l + 18", "h": "o + 4", "p": "h + 9", "r": "p + 3", "s": "r + 2", "m": "s + 18", "c": "m + 18", "o": 9}, "premises": {"o": 9}, "target": "y"}, "answer": {"steps": [["l", "g + 1", "g + 19"], ["g", "x + 19", "x + 38"], ["x", "q + 6", "q + 44"], ["q", "i + 9", "i + 53"], ["i", "o + 19", "o + 72"], ["o", 9, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"o": 9}, "is_reverse": true}} | 5,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 9; q = i + 9; m = s + 18; s = r + 2; c = m + 18; r = p + 3; l = g + 1; g = x + 19; o = 9; i = o + 19; x = q + 6; y = l + 18; h = o + 4. Given that o = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 1 to y, which gives y = g + 19.\n2. Substitute g = x + 19 to y, which gives y = x + 38.\n3. Substitute x = q + 6 to y, which gives y = q + 44.\n4. Substitute q = i + 9 to y, which gives y = i + 53.\n5. Substitute i = o + 19 to y, which gives y = o + 72.\n6. Substitute o = 9 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 5382,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 9; q = i + 9; m = s + 18; s = r + 2; c = m + 18; r = p + 3; l = g + 1; g = x + 19; o = 9; i = o + 19; x = q + 6; y = l + 18; h = o + 4. Given that o = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 2", "v": "n + 13", "a": "v + 17", "h": "a + 17", "c": "h + 20", "l": "c + 2", "w": "k + 17", "b": "w + 12", "z": "b + 18", "i": "z + 12", "q": "i + 10", "t": "q + 13", "k": 15}, "premises": {"k": 15}, "target": "l"}, "answer": {"steps": [["c", "h + 20", "h + 22"], ["h", "a + 17", "a + 39"], ["a", "v + 17", "v + 56"], ["v", "n + 13", "n + 69"], ["n", "k + 2", "k + 71"], ["k", 15, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"k": 15}, "is_reverse": true}} | 5,383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 20; b = w + 12; n = k + 2; k = 15; h = a + 17; z = b + 18; q = i + 10; w = k + 17; v = n + 13; a = v + 17; t = q + 13; l = c + 2; i = z + 12. Given that k = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 20 to l, which gives l = h + 22.\n2. Substitute h = a + 17 to l, which gives l = a + 39.\n3. Substitute a = v + 17 to l, which gives l = v + 56.\n4. Substitute v = n + 13 to l, which gives l = n + 69.\n5. Substitute n = k + 2 to l, which gives l = k + 71.\n6. Substitute k = 15 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 5383,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 20; b = w + 12; n = k + 2; k = 15; h = a + 17; z = b + 18; q = i + 10; w = k + 17; v = n + 13; a = v + 17; t = q + 13; l = c + 2; i = z + 12. Given that k = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 18", "t": "c + 19", "k": "t + 9", "b": "k + 17", "n": "b + 18", "p": "n + 9", "i": "l + 4", "f": "i + 18", "g": "f + 10", "v": "g + 2", "a": "v + 13", "z": "a + 11", "l": 9}, "premises": {"l": 9}, "target": "p"}, "answer": {"steps": [["n", "b + 18", "b + 27"], ["b", "k + 17", "k + 44"], ["k", "t + 9", "t + 53"], ["t", "c + 19", "c + 72"], ["c", "l + 18", "l + 90"], ["l", 9, "99"]], "target_var_name": "p", "target_value": 99, "value_dict": {"l": 9}, "is_reverse": true}} | 5,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 17; g = f + 10; c = l + 18; a = v + 13; p = n + 9; n = b + 18; z = a + 11; i = l + 4; v = g + 2; k = t + 9; f = i + 18; t = c + 19; l = 9. If l = 9, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 18 to p, which gives p = b + 27.\n2. Substitute b = k + 17 to p, which gives p = k + 44.\n3. Substitute k = t + 9 to p, which gives p = t + 53.\n4. Substitute t = c + 19 to p, which gives p = c + 72.\n5. Substitute c = l + 18 to p, which gives p = l + 90.\n6. Substitute l = 9 to p, which gives p = 99.\n\nThus, the final answer is p = \\boxed{99}.",
"index": 5384,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 17; g = f + 10; c = l + 18; a = v + 13; p = n + 9; n = b + 18; z = a + 11; i = l + 4; v = g + 2; k = t + 9; f = i + 18; t = c + 19; l = 9. If l = 9, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 10", "z": "t + 8", "i": "z + 7", "v": "i + 2", "s": "v + 14", "d": "s + 7", "x": "j + 18", "a": "x + 20", "u": "a + 3", "y": "u + 3", "m": "y + 2", "n": "m + 13", "j": 7}, "premises": {"j": 7}, "target": "d"}, "answer": {"steps": [["s", "v + 14", "v + 21"], ["v", "i + 2", "i + 23"], ["i", "z + 7", "z + 30"], ["z", "t + 8", "t + 38"], ["t", "j + 10", "j + 48"], ["j", 7, "55"]], "target_var_name": "d", "target_value": 55, "value_dict": {"j": 7}, "is_reverse": true}} | 5,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 14; y = u + 3; i = z + 7; v = i + 2; a = x + 20; t = j + 10; z = t + 8; m = y + 2; d = s + 7; j = 7; u = a + 3; x = j + 18; n = m + 13. If j = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 14 to d, which gives d = v + 21.\n2. Substitute v = i + 2 to d, which gives d = i + 23.\n3. Substitute i = z + 7 to d, which gives d = z + 30.\n4. Substitute z = t + 8 to d, which gives d = t + 38.\n5. Substitute t = j + 10 to d, which gives d = j + 48.\n6. Substitute j = 7 to d, which gives d = 55.\n\nThus, the final answer is d = \\boxed{55}.",
"index": 5385,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 14; y = u + 3; i = z + 7; v = i + 2; a = x + 20; t = j + 10; z = t + 8; m = y + 2; d = s + 7; j = 7; u = a + 3; x = j + 18; n = m + 13. If j = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 1", "z": "f + 20", "n": "z + 11", "e": "n + 1", "b": "e + 8", "t": "b + 18", "l": "h + 6", "y": "l + 17", "w": "y + 16", "d": "w + 18", "r": "d + 18", "x": "r + 7", "h": 13}, "premises": {"h": 13}, "target": "t"}, "answer": {"steps": [["b", "e + 8", "e + 26"], ["e", "n + 1", "n + 27"], ["n", "z + 11", "z + 38"], ["z", "f + 20", "f + 58"], ["f", "h + 1", "h + 59"], ["h", 13, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"h": 13}, "is_reverse": true}} | 5,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 18; b = e + 8; x = r + 7; w = y + 16; f = h + 1; l = h + 6; t = b + 18; z = f + 20; y = l + 17; h = 13; r = d + 18; n = z + 11; e = n + 1. If h = 13, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 8 to t, which gives t = e + 26.\n2. Substitute e = n + 1 to t, which gives t = n + 27.\n3. Substitute n = z + 11 to t, which gives t = z + 38.\n4. Substitute z = f + 20 to t, which gives t = f + 58.\n5. Substitute f = h + 1 to t, which gives t = h + 59.\n6. Substitute h = 13 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 5386,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 18; b = e + 8; x = r + 7; w = y + 16; f = h + 1; l = h + 6; t = b + 18; z = f + 20; y = l + 17; h = 13; r = d + 18; n = z + 11; e = n + 1. If h = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 13", "a": "d + 12", "r": "a + 20", "m": "r + 7", "l": "m + 15", "z": "l + 3", "t": "j + 16", "e": "t + 6", "h": "e + 7", "b": "h + 6", "c": "b + 5", "f": "c + 14", "j": 2}, "premises": {"j": 2}, "target": "z"}, "answer": {"steps": [["l", "m + 15", "m + 18"], ["m", "r + 7", "r + 25"], ["r", "a + 20", "a + 45"], ["a", "d + 12", "d + 57"], ["d", "j + 13", "j + 70"], ["j", 2, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"j": 2}, "is_reverse": true}} | 5,387 | 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 = m + 15; m = r + 7; j = 2; e = t + 6; t = j + 16; a = d + 12; b = h + 6; c = b + 5; h = e + 7; f = c + 14; d = j + 13; r = a + 20; z = l + 3. If j = 2, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 15 to z, which gives z = m + 18.\n2. Substitute m = r + 7 to z, which gives z = r + 25.\n3. Substitute r = a + 20 to z, which gives z = a + 45.\n4. Substitute a = d + 12 to z, which gives z = d + 57.\n5. Substitute d = j + 13 to z, which gives z = j + 70.\n6. Substitute j = 2 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 5387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = m + 15; m = r + 7; j = 2; e = t + 6; t = j + 16; a = d + 12; b = h + 6; c = b + 5; h = e + 7; f = c + 14; d = j + 13; r = a + 20; z = l + 3. If j = 2, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 5", "c": "f + 16", "l": "c + 11", "k": "l + 20", "o": "k + 15", "h": "o + 6", "s": "p + 11", "a": "s + 16", "q": "a + 2", "i": "q + 14", "e": "i + 10", "m": "e + 10", "p": 20}, "premises": {"p": 20}, "target": "h"}, "answer": {"steps": [["o", "k + 15", "k + 21"], ["k", "l + 20", "l + 41"], ["l", "c + 11", "c + 52"], ["c", "f + 16", "f + 68"], ["f", "p + 5", "p + 73"], ["p", 20, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"p": 20}, "is_reverse": true}} | 5,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 6; o = k + 15; q = a + 2; k = l + 20; l = c + 11; a = s + 16; p = 20; c = f + 16; s = p + 11; f = p + 5; e = i + 10; i = q + 14; m = e + 10. If p = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 15 to h, which gives h = k + 21.\n2. Substitute k = l + 20 to h, which gives h = l + 41.\n3. Substitute l = c + 11 to h, which gives h = c + 52.\n4. Substitute c = f + 16 to h, which gives h = f + 68.\n5. Substitute f = p + 5 to h, which gives h = p + 73.\n6. Substitute p = 20 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 5388,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 6; o = k + 15; q = a + 2; k = l + 20; l = c + 11; a = s + 16; p = 20; c = f + 16; s = p + 11; f = p + 5; e = i + 10; i = q + 14; m = e + 10. If p = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 11", "n": "w + 20", "s": "n + 6", "d": "s + 10", "p": "d + 3", "j": "p + 1", "e": "g + 9", "c": "e + 18", "u": "c + 15", "b": "u + 16", "y": "b + 17", "v": "y + 16", "g": 16}, "premises": {"g": 16}, "target": "j"}, "answer": {"steps": [["p", "d + 3", "d + 4"], ["d", "s + 10", "s + 14"], ["s", "n + 6", "n + 20"], ["n", "w + 20", "w + 40"], ["w", "g + 11", "g + 51"], ["g", 16, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"g": 16}, "is_reverse": true}} | 5,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 18; p = d + 3; j = p + 1; g = 16; s = n + 6; y = b + 17; e = g + 9; n = w + 20; b = u + 16; u = c + 15; d = s + 10; w = g + 11; v = y + 16. If g = 16, 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 p = d + 3 to j, which gives j = d + 4.\n2. Substitute d = s + 10 to j, which gives j = s + 14.\n3. Substitute s = n + 6 to j, which gives j = n + 20.\n4. Substitute n = w + 20 to j, which gives j = w + 40.\n5. Substitute w = g + 11 to j, which gives j = g + 51.\n6. Substitute g = 16 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 5389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 18; p = d + 3; j = p + 1; g = 16; s = n + 6; y = b + 17; e = g + 9; n = w + 20; b = u + 16; u = c + 15; d = s + 10; w = g + 11; v = y + 16. If g = 16, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 5", "e": "r + 4", "n": "e + 18", "i": "n + 7", "g": "i + 19", "d": "g + 18", "m": "s + 16", "t": "m + 19", "j": "t + 19", "q": "j + 16", "a": "q + 16", "h": "a + 12", "s": 16}, "premises": {"s": 16}, "target": "d"}, "answer": {"steps": [["g", "i + 19", "i + 37"], ["i", "n + 7", "n + 44"], ["n", "e + 18", "e + 62"], ["e", "r + 4", "r + 66"], ["r", "s + 5", "s + 71"], ["s", 16, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"s": 16}, "is_reverse": true}} | 5,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 7; q = j + 16; t = m + 19; j = t + 19; h = a + 12; m = s + 16; e = r + 4; a = q + 16; r = s + 5; n = e + 18; d = g + 18; g = i + 19; s = 16. Given that s = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 19 to d, which gives d = i + 37.\n2. Substitute i = n + 7 to d, which gives d = n + 44.\n3. Substitute n = e + 18 to d, which gives d = e + 62.\n4. Substitute e = r + 4 to d, which gives d = r + 66.\n5. Substitute r = s + 5 to d, which gives d = s + 71.\n6. Substitute s = 16 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 5390,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 7; q = j + 16; t = m + 19; j = t + 19; h = a + 12; m = s + 16; e = r + 4; a = q + 16; r = s + 5; n = e + 18; d = g + 18; g = i + 19; s = 16. Given that s = 16, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 18", "z": "c + 6", "l": "z + 4", "n": "l + 5", "h": "n + 6", "t": "h + 17", "b": "r + 11", "x": "b + 1", "v": "x + 17", "e": "v + 13", "u": "e + 7", "a": "u + 17", "r": 10}, "premises": {"r": 10}, "target": "t"}, "answer": {"steps": [["h", "n + 6", "n + 23"], ["n", "l + 5", "l + 28"], ["l", "z + 4", "z + 32"], ["z", "c + 6", "c + 38"], ["c", "r + 18", "r + 56"], ["r", 10, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"r": 10}, "is_reverse": true}} | 5,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 6; x = b + 1; z = c + 6; n = l + 5; c = r + 18; l = z + 4; e = v + 13; v = x + 17; r = 10; a = u + 17; b = r + 11; u = e + 7; t = h + 17. Given that r = 10, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 6 to t, which gives t = n + 23.\n2. Substitute n = l + 5 to t, which gives t = l + 28.\n3. Substitute l = z + 4 to t, which gives t = z + 32.\n4. Substitute z = c + 6 to t, which gives t = c + 38.\n5. Substitute c = r + 18 to t, which gives t = r + 56.\n6. Substitute r = 10 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 5391,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 6; x = b + 1; z = c + 6; n = l + 5; c = r + 18; l = z + 4; e = v + 13; v = x + 17; r = 10; a = u + 17; b = r + 11; u = e + 7; t = h + 17. Given that r = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 5", "d": "h + 12", "o": "d + 11", "y": "o + 16", "v": "y + 11", "n": "v + 7", "s": "c + 18", "r": "s + 1", "k": "r + 1", "z": "k + 20", "a": "z + 1", "e": "a + 7", "c": 12}, "premises": {"c": 12}, "target": "n"}, "answer": {"steps": [["v", "y + 11", "y + 18"], ["y", "o + 16", "o + 34"], ["o", "d + 11", "d + 45"], ["d", "h + 12", "h + 57"], ["h", "c + 5", "c + 62"], ["c", 12, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"c": 12}, "is_reverse": true}} | 5,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 11; c = 12; r = s + 1; s = c + 18; v = y + 11; h = c + 5; n = v + 7; a = z + 1; e = a + 7; d = h + 12; k = r + 1; z = k + 20; y = o + 16. Given that c = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 11 to n, which gives n = y + 18.\n2. Substitute y = o + 16 to n, which gives n = o + 34.\n3. Substitute o = d + 11 to n, which gives n = d + 45.\n4. Substitute d = h + 12 to n, which gives n = h + 57.\n5. Substitute h = c + 5 to n, which gives n = c + 62.\n6. Substitute c = 12 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 5392,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 11; c = 12; r = s + 1; s = c + 18; v = y + 11; h = c + 5; n = v + 7; a = z + 1; e = a + 7; d = h + 12; k = r + 1; z = k + 20; y = o + 16. Given that c = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 16", "a": "l + 4", "p": "a + 10", "k": "p + 16", "o": "k + 6", "z": "o + 14", "n": "m + 12", "s": "n + 13", "v": "s + 4", "j": "v + 15", "x": "j + 16", "d": "x + 19", "m": 12}, "premises": {"m": 12}, "target": "z"}, "answer": {"steps": [["o", "k + 6", "k + 20"], ["k", "p + 16", "p + 36"], ["p", "a + 10", "a + 46"], ["a", "l + 4", "l + 50"], ["l", "m + 16", "m + 66"], ["m", 12, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"m": 12}, "is_reverse": true}} | 5,393 | 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 = o + 14; s = n + 13; k = p + 16; v = s + 4; m = 12; a = l + 4; l = m + 16; j = v + 15; o = k + 6; p = a + 10; d = x + 19; n = m + 12; x = j + 16. If m = 12, 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 o = k + 6 to z, which gives z = k + 20.\n2. Substitute k = p + 16 to z, which gives z = p + 36.\n3. Substitute p = a + 10 to z, which gives z = a + 46.\n4. Substitute a = l + 4 to z, which gives z = l + 50.\n5. Substitute l = m + 16 to z, which gives z = m + 66.\n6. Substitute m = 12 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 5393,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 14; s = n + 13; k = p + 16; v = s + 4; m = 12; a = l + 4; l = m + 16; j = v + 15; o = k + 6; p = a + 10; d = x + 19; n = m + 12; x = j + 16. If m = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 19", "m": "a + 16", "p": "m + 11", "l": "p + 20", "k": "l + 7", "v": "k + 18", "f": "b + 18", "y": "f + 2", "e": "y + 6", "x": "e + 20", "w": "x + 13", "t": "w + 16", "b": 10}, "premises": {"b": 10}, "target": "v"}, "answer": {"steps": [["k", "l + 7", "l + 25"], ["l", "p + 20", "p + 45"], ["p", "m + 11", "m + 56"], ["m", "a + 16", "a + 72"], ["a", "b + 19", "b + 91"], ["b", 10, "101"]], "target_var_name": "v", "target_value": 101, "value_dict": {"b": 10}, "is_reverse": true}} | 5,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 16; x = e + 20; e = y + 6; y = f + 2; p = m + 11; v = k + 18; l = p + 20; w = x + 13; b = 10; k = l + 7; a = b + 19; f = b + 18; m = a + 16. Given that b = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 7 to v, which gives v = l + 25.\n2. Substitute l = p + 20 to v, which gives v = p + 45.\n3. Substitute p = m + 11 to v, which gives v = m + 56.\n4. Substitute m = a + 16 to v, which gives v = a + 72.\n5. Substitute a = b + 19 to v, which gives v = b + 91.\n6. Substitute b = 10 to v, which gives v = 101.\n\nThus, the final answer is v = \\boxed{101}.",
"index": 5394,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 16; x = e + 20; e = y + 6; y = f + 2; p = m + 11; v = k + 18; l = p + 20; w = x + 13; b = 10; k = l + 7; a = b + 19; f = b + 18; m = a + 16. Given that b = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 10", "k": "h + 11", "d": "k + 14", "q": "d + 3", "s": "q + 3", "u": "s + 4", "w": "e + 15", "l": "w + 12", "t": "l + 14", "y": "t + 15", "o": "y + 7", "p": "o + 18", "e": 10}, "premises": {"e": 10}, "target": "u"}, "answer": {"steps": [["s", "q + 3", "q + 7"], ["q", "d + 3", "d + 10"], ["d", "k + 14", "k + 24"], ["k", "h + 11", "h + 35"], ["h", "e + 10", "e + 45"], ["e", 10, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"e": 10}, "is_reverse": true}} | 5,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = e + 15; o = y + 7; d = k + 14; u = s + 4; e = 10; y = t + 15; k = h + 11; l = w + 12; p = o + 18; s = q + 3; t = l + 14; q = d + 3; h = e + 10. Given that e = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 3 to u, which gives u = q + 7.\n2. Substitute q = d + 3 to u, which gives u = d + 10.\n3. Substitute d = k + 14 to u, which gives u = k + 24.\n4. Substitute k = h + 11 to u, which gives u = h + 35.\n5. Substitute h = e + 10 to u, which gives u = e + 45.\n6. Substitute e = 10 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 5395,
"question": "Suppose a collection of variables is related by the following definitions: w = e + 15; o = y + 7; d = k + 14; u = s + 4; e = 10; y = t + 15; k = h + 11; l = w + 12; p = o + 18; s = q + 3; t = l + 14; q = d + 3; h = e + 10. Given that e = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 7", "i": "s + 19", "f": "i + 16", "b": "f + 4", "k": "b + 15", "x": "k + 9", "y": "q + 6", "t": "y + 13", "j": "t + 1", "r": "j + 11", "v": "r + 2", "d": "v + 13", "q": 20}, "premises": {"q": 20}, "target": "x"}, "answer": {"steps": [["k", "b + 15", "b + 24"], ["b", "f + 4", "f + 28"], ["f", "i + 16", "i + 44"], ["i", "s + 19", "s + 63"], ["s", "q + 7", "q + 70"], ["q", 20, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"q": 20}, "is_reverse": true}} | 5,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = q + 7; t = y + 13; k = b + 15; y = q + 6; r = j + 11; b = f + 4; q = 20; j = t + 1; x = k + 9; v = r + 2; i = s + 19; f = i + 16; d = v + 13. If q = 20, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 15 to x, which gives x = b + 24.\n2. Substitute b = f + 4 to x, which gives x = f + 28.\n3. Substitute f = i + 16 to x, which gives x = i + 44.\n4. Substitute i = s + 19 to x, which gives x = s + 63.\n5. Substitute s = q + 7 to x, which gives x = q + 70.\n6. Substitute q = 20 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 5396,
"question": "Consider a system of variables where each variable is defined as follows: s = q + 7; t = y + 13; k = b + 15; y = q + 6; r = j + 11; b = f + 4; q = 20; j = t + 1; x = k + 9; v = r + 2; i = s + 19; f = i + 16; d = v + 13. If q = 20, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 11", "t": "w + 12", "p": "t + 1", "k": "p + 9", "u": "k + 18", "e": "u + 20", "r": "s + 17", "b": "r + 17", "g": "b + 3", "f": "g + 18", "v": "f + 14", "j": "v + 11", "s": 7}, "premises": {"s": 7}, "target": "e"}, "answer": {"steps": [["u", "k + 18", "k + 38"], ["k", "p + 9", "p + 47"], ["p", "t + 1", "t + 48"], ["t", "w + 12", "w + 60"], ["w", "s + 11", "s + 71"], ["s", 7, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"s": 7}, "is_reverse": true}} | 5,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 9; s = 7; t = w + 12; p = t + 1; e = u + 20; j = v + 11; b = r + 17; g = b + 3; w = s + 11; u = k + 18; r = s + 17; v = f + 14; f = g + 18. Given that s = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 18 to e, which gives e = k + 38.\n2. Substitute k = p + 9 to e, which gives e = p + 47.\n3. Substitute p = t + 1 to e, which gives e = t + 48.\n4. Substitute t = w + 12 to e, which gives e = w + 60.\n5. Substitute w = s + 11 to e, which gives e = s + 71.\n6. Substitute s = 7 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 5397,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 9; s = 7; t = w + 12; p = t + 1; e = u + 20; j = v + 11; b = r + 17; g = b + 3; w = s + 11; u = k + 18; r = s + 17; v = f + 14; f = g + 18. Given that s = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 6", "t": "f + 15", "k": "t + 19", "x": "k + 20", "e": "x + 6", "r": "e + 1", "h": "a + 20", "y": "h + 14", "z": "y + 1", "j": "z + 12", "w": "j + 9", "g": "w + 7", "a": 6}, "premises": {"a": 6}, "target": "r"}, "answer": {"steps": [["e", "x + 6", "x + 7"], ["x", "k + 20", "k + 27"], ["k", "t + 19", "t + 46"], ["t", "f + 15", "f + 61"], ["f", "a + 6", "a + 67"], ["a", 6, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"a": 6}, "is_reverse": true}} | 5,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 6; t = f + 15; r = e + 1; j = z + 12; z = y + 1; h = a + 20; a = 6; g = w + 7; e = x + 6; y = h + 14; w = j + 9; k = t + 19; x = k + 20. If a = 6, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 6 to r, which gives r = x + 7.\n2. Substitute x = k + 20 to r, which gives r = k + 27.\n3. Substitute k = t + 19 to r, which gives r = t + 46.\n4. Substitute t = f + 15 to r, which gives r = f + 61.\n5. Substitute f = a + 6 to r, which gives r = a + 67.\n6. Substitute a = 6 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 5398,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 6; t = f + 15; r = e + 1; j = z + 12; z = y + 1; h = a + 20; a = 6; g = w + 7; e = x + 6; y = h + 14; w = j + 9; k = t + 19; x = k + 20. If a = 6, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 14", "a": "t + 1", "d": "a + 13", "q": "d + 16", "h": "q + 5", "i": "h + 19", "u": "m + 7", "j": "u + 12", "w": "j + 18", "r": "w + 3", "z": "r + 16", "e": "z + 18", "m": 2}, "premises": {"m": 2}, "target": "i"}, "answer": {"steps": [["h", "q + 5", "q + 24"], ["q", "d + 16", "d + 40"], ["d", "a + 13", "a + 53"], ["a", "t + 1", "t + 54"], ["t", "m + 14", "m + 68"], ["m", 2, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"m": 2}, "is_reverse": true}} | 5,399 | 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 = d + 16; i = h + 19; j = u + 12; h = q + 5; r = w + 3; z = r + 16; w = j + 18; e = z + 18; m = 2; d = a + 13; u = m + 7; t = m + 14; a = t + 1. If m = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 5 to i, which gives i = q + 24.\n2. Substitute q = d + 16 to i, which gives i = d + 40.\n3. Substitute d = a + 13 to i, which gives i = a + 53.\n4. Substitute a = t + 1 to i, which gives i = t + 54.\n5. Substitute t = m + 14 to i, which gives i = m + 68.\n6. Substitute m = 2 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 5399,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 16; i = h + 19; j = u + 12; h = q + 5; r = w + 3; z = r + 16; w = j + 18; e = z + 18; m = 2; d = a + 13; u = m + 7; t = m + 14; a = t + 1. If m = 2, what is the resulting value of i?",
"split": "train"
} |
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