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": {"o": "c + 5", "k": "o + 11", "n": "k + 19", "j": "n + 12", "g": "j + 14", "v": "g + 3", "t": "c + 10", "l": "t + 11", "m": "l + 1", "w": "m + 10", "s": "w + 20", "u": "s + 5", "c": 6}, "premises": {"c": 6}, "target": "v"}, "answer": {"steps": [["g", "j + 14", "j + 17"], ["j", "n + 12", "n + 29"], ["n", "k + 19", "k + 48"], ["k", "o + 11", "o + 59"], ["o", "c + 5", "c + 64"], ["c", 6, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"c": 6}, "is_reverse": true}} | 18,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 1; u = s + 5; t = c + 10; o = c + 5; c = 6; g = j + 14; s = w + 20; k = o + 11; w = m + 10; n = k + 19; v = g + 3; j = n + 12; l = t + 11. If c = 6, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 14 to v, which gives v = j + 17.\n2. Substitute j = n + 12 to v, which gives v = n + 29.\n3. Substitute n = k + 19 to v, which gives v = k + 48.\n4. Substitute k = o + 11 to v, which gives v = o + 59.\n5. Substitute o = c + 5 to v, which gives v = c + 64.\n6. Substitute c = 6 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 18800,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = l + 1; u = s + 5; t = c + 10; o = c + 5; c = 6; g = j + 14; s = w + 20; k = o + 11; w = m + 10; n = k + 19; v = g + 3; j = n + 12; l = t + 11. If c = 6, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 2", "m": "g + 1", "q": "m + 17", "o": "q + 18", "w": "o + 4", "y": "w + 7", "r": "h + 17", "b": "r + 19", "v": "b + 7", "k": "v + 14", "u": "k + 18", "z": "u + 15", "h": 12}, "premises": {"h": 12}, "target": "y"}, "answer": {"steps": [["w", "o + 4", "o + 11"], ["o", "q + 18", "q + 29"], ["q", "m + 17", "m + 46"], ["m", "g + 1", "g + 47"], ["g", "h + 2", "h + 49"], ["h", 12, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"h": 12}, "is_reverse": true}} | 18,801 | 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 + 18; q = m + 17; h = 12; z = u + 15; m = g + 1; u = k + 18; g = h + 2; k = v + 14; w = o + 4; b = r + 19; r = h + 17; y = w + 7; v = b + 7. If h = 12, determine 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 w = o + 4 to y, which gives y = o + 11.\n2. Substitute o = q + 18 to y, which gives y = q + 29.\n3. Substitute q = m + 17 to y, which gives y = m + 46.\n4. Substitute m = g + 1 to y, which gives y = g + 47.\n5. Substitute g = h + 2 to y, which gives y = h + 49.\n6. Substitute h = 12 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 18801,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 18; q = m + 17; h = 12; z = u + 15; m = g + 1; u = k + 18; g = h + 2; k = v + 14; w = o + 4; b = r + 19; r = h + 17; y = w + 7; v = b + 7. If h = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 19", "e": "j + 6", "z": "e + 17", "i": "z + 15", "r": "i + 10", "x": "r + 15", "c": "a + 11", "f": "c + 13", "o": "f + 20", "u": "o + 20", "k": "u + 14", "s": "k + 3", "a": 12}, "premises": {"a": 12}, "target": "x"}, "answer": {"steps": [["r", "i + 10", "i + 25"], ["i", "z + 15", "z + 40"], ["z", "e + 17", "e + 57"], ["e", "j + 6", "j + 63"], ["j", "a + 19", "a + 82"], ["a", 12, "94"]], "target_var_name": "x", "target_value": 94, "value_dict": {"a": 12}, "is_reverse": true}} | 18,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = i + 10; i = z + 15; s = k + 3; j = a + 19; k = u + 14; a = 12; u = o + 20; z = e + 17; e = j + 6; f = c + 13; c = a + 11; x = r + 15; o = f + 20. If a = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 10 to x, which gives x = i + 25.\n2. Substitute i = z + 15 to x, which gives x = z + 40.\n3. Substitute z = e + 17 to x, which gives x = e + 57.\n4. Substitute e = j + 6 to x, which gives x = j + 63.\n5. Substitute j = a + 19 to x, which gives x = a + 82.\n6. Substitute a = 12 to x, which gives x = 94.\n\nThus, the final answer is x = \\boxed{94}.",
"index": 18802,
"question": "Consider a system of variables where each variable is defined as follows: r = i + 10; i = z + 15; s = k + 3; j = a + 19; k = u + 14; a = 12; u = o + 20; z = e + 17; e = j + 6; f = c + 13; c = a + 11; x = r + 15; o = f + 20. If a = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 12", "y": "e + 17", "z": "y + 18", "h": "z + 20", "q": "h + 1", "w": "q + 10", "b": "l + 7", "f": "b + 14", "s": "f + 7", "a": "s + 8", "u": "a + 5", "n": "u + 12", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["q", "h + 1", "h + 11"], ["h", "z + 20", "z + 31"], ["z", "y + 18", "y + 49"], ["y", "e + 17", "e + 66"], ["e", "l + 12", "l + 78"], ["l", 10, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"l": 10}, "is_reverse": true}} | 18,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 7; s = f + 7; u = a + 5; h = z + 20; n = u + 12; q = h + 1; f = b + 14; y = e + 17; a = s + 8; z = y + 18; w = q + 10; e = l + 12; l = 10. Given that l = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 1 to w, which gives w = h + 11.\n2. Substitute h = z + 20 to w, which gives w = z + 31.\n3. Substitute z = y + 18 to w, which gives w = y + 49.\n4. Substitute y = e + 17 to w, which gives w = e + 66.\n5. Substitute e = l + 12 to w, which gives w = l + 78.\n6. Substitute l = 10 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 18803,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 7; s = f + 7; u = a + 5; h = z + 20; n = u + 12; q = h + 1; f = b + 14; y = e + 17; a = s + 8; z = y + 18; w = q + 10; e = l + 12; l = 10. Given that l = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 13", "n": "i + 13", "l": "n + 14", "r": "l + 1", "s": "r + 20", "x": "s + 8", "g": "q + 13", "k": "g + 3", "y": "k + 6", "h": "y + 5", "d": "h + 1", "v": "d + 6", "q": 15}, "premises": {"q": 15}, "target": "x"}, "answer": {"steps": [["s", "r + 20", "r + 28"], ["r", "l + 1", "l + 29"], ["l", "n + 14", "n + 43"], ["n", "i + 13", "i + 56"], ["i", "q + 13", "q + 69"], ["q", 15, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"q": 15}, "is_reverse": true}} | 18,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 1; q = 15; i = q + 13; k = g + 3; n = i + 13; r = l + 1; g = q + 13; l = n + 14; y = k + 6; x = s + 8; s = r + 20; h = y + 5; v = d + 6. Given that q = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 20 to x, which gives x = r + 28.\n2. Substitute r = l + 1 to x, which gives x = l + 29.\n3. Substitute l = n + 14 to x, which gives x = n + 43.\n4. Substitute n = i + 13 to x, which gives x = i + 56.\n5. Substitute i = q + 13 to x, which gives x = q + 69.\n6. Substitute q = 15 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 18804,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 1; q = 15; i = q + 13; k = g + 3; n = i + 13; r = l + 1; g = q + 13; l = n + 14; y = k + 6; x = s + 8; s = r + 20; h = y + 5; v = d + 6. Given that q = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 4", "n": "u + 8", "t": "n + 1", "c": "t + 9", "b": "c + 19", "o": "b + 19", "g": "v + 15", "s": "g + 19", "d": "s + 19", "f": "d + 15", "q": "f + 4", "l": "q + 9", "v": 14}, "premises": {"v": 14}, "target": "o"}, "answer": {"steps": [["b", "c + 19", "c + 38"], ["c", "t + 9", "t + 47"], ["t", "n + 1", "n + 48"], ["n", "u + 8", "u + 56"], ["u", "v + 4", "v + 60"], ["v", 14, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"v": 14}, "is_reverse": true}} | 18,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 19; g = v + 15; u = v + 4; b = c + 19; d = s + 19; l = q + 9; s = g + 19; t = n + 1; v = 14; c = t + 9; f = d + 15; q = f + 4; n = u + 8. Given that v = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 19 to o, which gives o = c + 38.\n2. Substitute c = t + 9 to o, which gives o = t + 47.\n3. Substitute t = n + 1 to o, which gives o = n + 48.\n4. Substitute n = u + 8 to o, which gives o = u + 56.\n5. Substitute u = v + 4 to o, which gives o = v + 60.\n6. Substitute v = 14 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 18805,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 19; g = v + 15; u = v + 4; b = c + 19; d = s + 19; l = q + 9; s = g + 19; t = n + 1; v = 14; c = t + 9; f = d + 15; q = f + 4; n = u + 8. Given that v = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 2", "q": "c + 8", "t": "q + 5", "s": "t + 19", "m": "s + 9", "y": "m + 18", "x": "d + 13", "b": "x + 17", "f": "b + 5", "k": "f + 20", "l": "k + 4", "e": "l + 11", "d": 12}, "premises": {"d": 12}, "target": "y"}, "answer": {"steps": [["m", "s + 9", "s + 27"], ["s", "t + 19", "t + 46"], ["t", "q + 5", "q + 51"], ["q", "c + 8", "c + 59"], ["c", "d + 2", "d + 61"], ["d", 12, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"d": 12}, "is_reverse": true}} | 18,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = c + 8; s = t + 19; x = d + 13; y = m + 18; f = b + 5; m = s + 9; c = d + 2; l = k + 4; e = l + 11; b = x + 17; d = 12; k = f + 20; t = q + 5. Given that d = 12, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 9 to y, which gives y = s + 27.\n2. Substitute s = t + 19 to y, which gives y = t + 46.\n3. Substitute t = q + 5 to y, which gives y = q + 51.\n4. Substitute q = c + 8 to y, which gives y = c + 59.\n5. Substitute c = d + 2 to y, which gives y = d + 61.\n6. Substitute d = 12 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 18806,
"question": "Suppose a collection of variables is related by the following definitions: q = c + 8; s = t + 19; x = d + 13; y = m + 18; f = b + 5; m = s + 9; c = d + 2; l = k + 4; e = l + 11; b = x + 17; d = 12; k = f + 20; t = q + 5. Given that d = 12, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 10", "g": "u + 18", "s": "g + 6", "p": "s + 17", "f": "p + 5", "m": "f + 16", "q": "v + 19", "h": "q + 2", "z": "h + 13", "b": "z + 5", "e": "b + 7", "l": "e + 6", "v": 17}, "premises": {"v": 17}, "target": "m"}, "answer": {"steps": [["f", "p + 5", "p + 21"], ["p", "s + 17", "s + 38"], ["s", "g + 6", "g + 44"], ["g", "u + 18", "u + 62"], ["u", "v + 10", "v + 72"], ["v", 17, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"v": 17}, "is_reverse": true}} | 18,807 | 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 = e + 6; u = v + 10; v = 17; m = f + 16; b = z + 5; s = g + 6; f = p + 5; h = q + 2; g = u + 18; z = h + 13; p = s + 17; e = b + 7; q = v + 19. If v = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 5 to m, which gives m = p + 21.\n2. Substitute p = s + 17 to m, which gives m = s + 38.\n3. Substitute s = g + 6 to m, which gives m = g + 44.\n4. Substitute g = u + 18 to m, which gives m = u + 62.\n5. Substitute u = v + 10 to m, which gives m = v + 72.\n6. Substitute v = 17 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 18807,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 6; u = v + 10; v = 17; m = f + 16; b = z + 5; s = g + 6; f = p + 5; h = q + 2; g = u + 18; z = h + 13; p = s + 17; e = b + 7; q = v + 19. If v = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 15", "t": "a + 9", "c": "t + 1", "d": "c + 8", "k": "d + 15", "u": "k + 16", "g": "n + 12", "z": "g + 7", "p": "z + 10", "l": "p + 1", "f": "l + 3", "q": "f + 11", "n": 3}, "premises": {"n": 3}, "target": "u"}, "answer": {"steps": [["k", "d + 15", "d + 31"], ["d", "c + 8", "c + 39"], ["c", "t + 1", "t + 40"], ["t", "a + 9", "a + 49"], ["a", "n + 15", "n + 64"], ["n", 3, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"n": 3}, "is_reverse": true}} | 18,808 | 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 = n + 15; c = t + 1; q = f + 11; k = d + 15; n = 3; f = l + 3; u = k + 16; l = p + 1; p = z + 10; d = c + 8; t = a + 9; g = n + 12; z = g + 7. If n = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 15 to u, which gives u = d + 31.\n2. Substitute d = c + 8 to u, which gives u = c + 39.\n3. Substitute c = t + 1 to u, which gives u = t + 40.\n4. Substitute t = a + 9 to u, which gives u = a + 49.\n5. Substitute a = n + 15 to u, which gives u = n + 64.\n6. Substitute n = 3 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 18808,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 15; c = t + 1; q = f + 11; k = d + 15; n = 3; f = l + 3; u = k + 16; l = p + 1; p = z + 10; d = c + 8; t = a + 9; g = n + 12; z = g + 7. If n = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 19", "t": "h + 20", "q": "t + 13", "v": "q + 2", "p": "v + 4", "a": "p + 3", "s": "y + 14", "b": "s + 10", "r": "b + 8", "l": "r + 11", "x": "l + 13", "g": "x + 7", "y": 18}, "premises": {"y": 18}, "target": "a"}, "answer": {"steps": [["p", "v + 4", "v + 7"], ["v", "q + 2", "q + 9"], ["q", "t + 13", "t + 22"], ["t", "h + 20", "h + 42"], ["h", "y + 19", "y + 61"], ["y", 18, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"y": 18}, "is_reverse": true}} | 18,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 14; x = l + 13; p = v + 4; b = s + 10; a = p + 3; l = r + 11; q = t + 13; g = x + 7; y = 18; t = h + 20; v = q + 2; h = y + 19; r = b + 8. Given that y = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 4 to a, which gives a = v + 7.\n2. Substitute v = q + 2 to a, which gives a = q + 9.\n3. Substitute q = t + 13 to a, which gives a = t + 22.\n4. Substitute t = h + 20 to a, which gives a = h + 42.\n5. Substitute h = y + 19 to a, which gives a = y + 61.\n6. Substitute y = 18 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 18809,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 14; x = l + 13; p = v + 4; b = s + 10; a = p + 3; l = r + 11; q = t + 13; g = x + 7; y = 18; t = h + 20; v = q + 2; h = y + 19; r = b + 8. Given that y = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 9", "o": "k + 16", "l": "o + 10", "i": "l + 12", "j": "i + 3", "h": "j + 20", "m": "d + 10", "y": "m + 8", "p": "y + 6", "z": "p + 16", "g": "z + 8", "v": "g + 20", "d": 8}, "premises": {"d": 8}, "target": "h"}, "answer": {"steps": [["j", "i + 3", "i + 23"], ["i", "l + 12", "l + 35"], ["l", "o + 10", "o + 45"], ["o", "k + 16", "k + 61"], ["k", "d + 9", "d + 70"], ["d", 8, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"d": 8}, "is_reverse": true}} | 18,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 10; h = j + 20; m = d + 10; j = i + 3; p = y + 6; o = k + 16; d = 8; g = z + 8; z = p + 16; y = m + 8; v = g + 20; i = l + 12; k = d + 9. Given that d = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 3 to h, which gives h = i + 23.\n2. Substitute i = l + 12 to h, which gives h = l + 35.\n3. Substitute l = o + 10 to h, which gives h = o + 45.\n4. Substitute o = k + 16 to h, which gives h = k + 61.\n5. Substitute k = d + 9 to h, which gives h = d + 70.\n6. Substitute d = 8 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 18810,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 10; h = j + 20; m = d + 10; j = i + 3; p = y + 6; o = k + 16; d = 8; g = z + 8; z = p + 16; y = m + 8; v = g + 20; i = l + 12; k = d + 9. Given that d = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 14", "f": "b + 16", "h": "f + 20", "z": "h + 2", "v": "z + 13", "x": "v + 5", "y": "n + 8", "c": "y + 7", "l": "c + 7", "o": "l + 10", "t": "o + 2", "r": "t + 12", "n": 20}, "premises": {"n": 20}, "target": "x"}, "answer": {"steps": [["v", "z + 13", "z + 18"], ["z", "h + 2", "h + 20"], ["h", "f + 20", "f + 40"], ["f", "b + 16", "b + 56"], ["b", "n + 14", "n + 70"], ["n", 20, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"n": 20}, "is_reverse": true}} | 18,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 10; b = n + 14; h = f + 20; c = y + 7; z = h + 2; f = b + 16; l = c + 7; n = 20; x = v + 5; y = n + 8; r = t + 12; v = z + 13; t = o + 2. If n = 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 v = z + 13 to x, which gives x = z + 18.\n2. Substitute z = h + 2 to x, which gives x = h + 20.\n3. Substitute h = f + 20 to x, which gives x = f + 40.\n4. Substitute f = b + 16 to x, which gives x = b + 56.\n5. Substitute b = n + 14 to x, which gives x = n + 70.\n6. Substitute n = 20 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 18811,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 10; b = n + 14; h = f + 20; c = y + 7; z = h + 2; f = b + 16; l = c + 7; n = 20; x = v + 5; y = n + 8; r = t + 12; v = z + 13; t = o + 2. If n = 20, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 5", "x": "l + 20", "u": "x + 4", "i": "u + 2", "e": "i + 16", "a": "e + 20", "b": "n + 10", "y": "b + 3", "s": "y + 15", "m": "s + 10", "c": "m + 16", "d": "c + 16", "n": 6}, "premises": {"n": 6}, "target": "a"}, "answer": {"steps": [["e", "i + 16", "i + 36"], ["i", "u + 2", "u + 38"], ["u", "x + 4", "x + 42"], ["x", "l + 20", "l + 62"], ["l", "n + 5", "n + 67"], ["n", 6, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"n": 6}, "is_reverse": true}} | 18,812 | 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 = n + 10; s = y + 15; c = m + 16; m = s + 10; a = e + 20; l = n + 5; y = b + 3; x = l + 20; d = c + 16; e = i + 16; i = u + 2; u = x + 4; n = 6. If n = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 16 to a, which gives a = i + 36.\n2. Substitute i = u + 2 to a, which gives a = u + 38.\n3. Substitute u = x + 4 to a, which gives a = x + 42.\n4. Substitute x = l + 20 to a, which gives a = l + 62.\n5. Substitute l = n + 5 to a, which gives a = n + 67.\n6. Substitute n = 6 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 18812,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 10; s = y + 15; c = m + 16; m = s + 10; a = e + 20; l = n + 5; y = b + 3; x = l + 20; d = c + 16; e = i + 16; i = u + 2; u = x + 4; n = 6. If n = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 19", "i": "u + 9", "o": "i + 14", "n": "o + 19", "b": "n + 9", "d": "b + 4", "q": "h + 10", "m": "q + 11", "w": "m + 13", "k": "w + 10", "e": "k + 10", "j": "e + 20", "h": 18}, "premises": {"h": 18}, "target": "d"}, "answer": {"steps": [["b", "n + 9", "n + 13"], ["n", "o + 19", "o + 32"], ["o", "i + 14", "i + 46"], ["i", "u + 9", "u + 55"], ["u", "h + 19", "h + 74"], ["h", 18, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"h": 18}, "is_reverse": true}} | 18,813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 19; j = e + 20; q = h + 10; h = 18; k = w + 10; o = i + 14; e = k + 10; d = b + 4; n = o + 19; i = u + 9; m = q + 11; b = n + 9; w = m + 13. Given that h = 18, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 9 to d, which gives d = n + 13.\n2. Substitute n = o + 19 to d, which gives d = o + 32.\n3. Substitute o = i + 14 to d, which gives d = i + 46.\n4. Substitute i = u + 9 to d, which gives d = u + 55.\n5. Substitute u = h + 19 to d, which gives d = h + 74.\n6. Substitute h = 18 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 18813,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 19; j = e + 20; q = h + 10; h = 18; k = w + 10; o = i + 14; e = k + 10; d = b + 4; n = o + 19; i = u + 9; m = q + 11; b = n + 9; w = m + 13. Given that h = 18, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 2", "c": "a + 19", "l": "c + 16", "m": "l + 8", "h": "m + 3", "s": "h + 19", "d": "j + 19", "z": "d + 1", "y": "z + 19", "r": "y + 8", "f": "r + 18", "g": "f + 13", "j": 2}, "premises": {"j": 2}, "target": "s"}, "answer": {"steps": [["h", "m + 3", "m + 22"], ["m", "l + 8", "l + 30"], ["l", "c + 16", "c + 46"], ["c", "a + 19", "a + 65"], ["a", "j + 2", "j + 67"], ["j", 2, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"j": 2}, "is_reverse": true}} | 18,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 8; c = a + 19; g = f + 13; h = m + 3; a = j + 2; y = z + 19; s = h + 19; f = r + 18; l = c + 16; z = d + 1; d = j + 19; m = l + 8; j = 2. If j = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 3 to s, which gives s = m + 22.\n2. Substitute m = l + 8 to s, which gives s = l + 30.\n3. Substitute l = c + 16 to s, which gives s = c + 46.\n4. Substitute c = a + 19 to s, which gives s = a + 65.\n5. Substitute a = j + 2 to s, which gives s = j + 67.\n6. Substitute j = 2 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 18814,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 8; c = a + 19; g = f + 13; h = m + 3; a = j + 2; y = z + 19; s = h + 19; f = r + 18; l = c + 16; z = d + 1; d = j + 19; m = l + 8; j = 2. If j = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 7", "k": "r + 2", "o": "k + 5", "a": "o + 4", "y": "a + 14", "h": "y + 8", "e": "f + 18", "m": "e + 2", "i": "m + 14", "x": "i + 6", "w": "x + 10", "z": "w + 9", "f": 7}, "premises": {"f": 7}, "target": "h"}, "answer": {"steps": [["y", "a + 14", "a + 22"], ["a", "o + 4", "o + 26"], ["o", "k + 5", "k + 31"], ["k", "r + 2", "r + 33"], ["r", "f + 7", "f + 40"], ["f", 7, "47"]], "target_var_name": "h", "target_value": 47, "value_dict": {"f": 7}, "is_reverse": true}} | 18,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 6; w = x + 10; i = m + 14; a = o + 4; z = w + 9; h = y + 8; y = a + 14; e = f + 18; r = f + 7; f = 7; k = r + 2; m = e + 2; o = k + 5. If f = 7, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 14 to h, which gives h = a + 22.\n2. Substitute a = o + 4 to h, which gives h = o + 26.\n3. Substitute o = k + 5 to h, which gives h = k + 31.\n4. Substitute k = r + 2 to h, which gives h = r + 33.\n5. Substitute r = f + 7 to h, which gives h = f + 40.\n6. Substitute f = 7 to h, which gives h = 47.\n\nThus, the final answer is h = \\boxed{47}.",
"index": 18815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 6; w = x + 10; i = m + 14; a = o + 4; z = w + 9; h = y + 8; y = a + 14; e = f + 18; r = f + 7; f = 7; k = r + 2; m = e + 2; o = k + 5. If f = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 16", "c": "l + 8", "y": "c + 20", "q": "y + 6", "e": "q + 16", "b": "e + 11", "o": "m + 12", "k": "o + 6", "x": "k + 5", "j": "x + 17", "w": "j + 6", "f": "w + 15", "m": 9}, "premises": {"m": 9}, "target": "b"}, "answer": {"steps": [["e", "q + 16", "q + 27"], ["q", "y + 6", "y + 33"], ["y", "c + 20", "c + 53"], ["c", "l + 8", "l + 61"], ["l", "m + 16", "m + 77"], ["m", 9, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"m": 9}, "is_reverse": true}} | 18,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 16; w = j + 6; f = w + 15; o = m + 12; k = o + 6; x = k + 5; q = y + 6; j = x + 17; m = 9; b = e + 11; c = l + 8; l = m + 16; y = c + 20. If m = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 16 to b, which gives b = q + 27.\n2. Substitute q = y + 6 to b, which gives b = y + 33.\n3. Substitute y = c + 20 to b, which gives b = c + 53.\n4. Substitute c = l + 8 to b, which gives b = l + 61.\n5. Substitute l = m + 16 to b, which gives b = m + 77.\n6. Substitute m = 9 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 18816,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 16; w = j + 6; f = w + 15; o = m + 12; k = o + 6; x = k + 5; q = y + 6; j = x + 17; m = 9; b = e + 11; c = l + 8; l = m + 16; y = c + 20. If m = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 17", "k": "m + 3", "q": "k + 2", "z": "q + 3", "s": "z + 18", "r": "s + 8", "j": "u + 16", "v": "j + 8", "x": "v + 5", "n": "x + 5", "g": "n + 7", "l": "g + 14", "u": 8}, "premises": {"u": 8}, "target": "r"}, "answer": {"steps": [["s", "z + 18", "z + 26"], ["z", "q + 3", "q + 29"], ["q", "k + 2", "k + 31"], ["k", "m + 3", "m + 34"], ["m", "u + 17", "u + 51"], ["u", 8, "59"]], "target_var_name": "r", "target_value": 59, "value_dict": {"u": 8}, "is_reverse": true}} | 18,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 8; u = 8; m = u + 17; z = q + 3; j = u + 16; v = j + 8; l = g + 14; s = z + 18; k = m + 3; x = v + 5; g = n + 7; n = x + 5; q = k + 2. Given that u = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 18 to r, which gives r = z + 26.\n2. Substitute z = q + 3 to r, which gives r = q + 29.\n3. Substitute q = k + 2 to r, which gives r = k + 31.\n4. Substitute k = m + 3 to r, which gives r = m + 34.\n5. Substitute m = u + 17 to r, which gives r = u + 51.\n6. Substitute u = 8 to r, which gives r = 59.\n\nThus, the final answer is r = \\boxed{59}.",
"index": 18817,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 8; u = 8; m = u + 17; z = q + 3; j = u + 16; v = j + 8; l = g + 14; s = z + 18; k = m + 3; x = v + 5; g = n + 7; n = x + 5; q = k + 2. Given that u = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 8", "s": "w + 1", "b": "s + 6", "g": "b + 14", "q": "g + 10", "o": "q + 9", "e": "x + 11", "h": "e + 4", "d": "h + 9", "c": "d + 11", "l": "c + 18", "u": "l + 20", "x": 16}, "premises": {"x": 16}, "target": "o"}, "answer": {"steps": [["q", "g + 10", "g + 19"], ["g", "b + 14", "b + 33"], ["b", "s + 6", "s + 39"], ["s", "w + 1", "w + 40"], ["w", "x + 8", "x + 48"], ["x", 16, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"x": 16}, "is_reverse": true}} | 18,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 16; b = s + 6; e = x + 11; d = h + 9; o = q + 9; q = g + 10; u = l + 20; h = e + 4; c = d + 11; s = w + 1; g = b + 14; l = c + 18; w = x + 8. Given that x = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 10 to o, which gives o = g + 19.\n2. Substitute g = b + 14 to o, which gives o = b + 33.\n3. Substitute b = s + 6 to o, which gives o = s + 39.\n4. Substitute s = w + 1 to o, which gives o = w + 40.\n5. Substitute w = x + 8 to o, which gives o = x + 48.\n6. Substitute x = 16 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 18818,
"question": "Suppose a collection of variables is related by the following definitions: x = 16; b = s + 6; e = x + 11; d = h + 9; o = q + 9; q = g + 10; u = l + 20; h = e + 4; c = d + 11; s = w + 1; g = b + 14; l = c + 18; w = x + 8. Given that x = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 13", "l": "b + 17", "d": "l + 16", "v": "d + 17", "a": "v + 5", "g": "a + 14", "y": "z + 20", "c": "y + 15", "w": "c + 17", "u": "w + 9", "i": "u + 12", "k": "i + 1", "z": 13}, "premises": {"z": 13}, "target": "g"}, "answer": {"steps": [["a", "v + 5", "v + 19"], ["v", "d + 17", "d + 36"], ["d", "l + 16", "l + 52"], ["l", "b + 17", "b + 69"], ["b", "z + 13", "z + 82"], ["z", 13, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"z": 13}, "is_reverse": true}} | 18,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 17; z = 13; k = i + 1; y = z + 20; a = v + 5; b = z + 13; i = u + 12; d = l + 16; c = y + 15; u = w + 9; v = d + 17; w = c + 17; g = a + 14. Given that z = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 5 to g, which gives g = v + 19.\n2. Substitute v = d + 17 to g, which gives g = d + 36.\n3. Substitute d = l + 16 to g, which gives g = l + 52.\n4. Substitute l = b + 17 to g, which gives g = b + 69.\n5. Substitute b = z + 13 to g, which gives g = z + 82.\n6. Substitute z = 13 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 18819,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 17; z = 13; k = i + 1; y = z + 20; a = v + 5; b = z + 13; i = u + 12; d = l + 16; c = y + 15; u = w + 9; v = d + 17; w = c + 17; g = a + 14. Given that z = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 20", "x": "e + 15", "f": "x + 12", "m": "f + 6", "c": "m + 15", "i": "c + 19", "y": "n + 20", "w": "y + 1", "l": "w + 15", "p": "l + 18", "r": "p + 2", "d": "r + 3", "n": 7}, "premises": {"n": 7}, "target": "i"}, "answer": {"steps": [["c", "m + 15", "m + 34"], ["m", "f + 6", "f + 40"], ["f", "x + 12", "x + 52"], ["x", "e + 15", "e + 67"], ["e", "n + 20", "n + 87"], ["n", 7, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"n": 7}, "is_reverse": true}} | 18,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 18; w = y + 1; c = m + 15; y = n + 20; l = w + 15; n = 7; i = c + 19; f = x + 12; x = e + 15; e = n + 20; m = f + 6; d = r + 3; r = p + 2. If n = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 15 to i, which gives i = m + 34.\n2. Substitute m = f + 6 to i, which gives i = f + 40.\n3. Substitute f = x + 12 to i, which gives i = x + 52.\n4. Substitute x = e + 15 to i, which gives i = e + 67.\n5. Substitute e = n + 20 to i, which gives i = n + 87.\n6. Substitute n = 7 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 18820,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 18; w = y + 1; c = m + 15; y = n + 20; l = w + 15; n = 7; i = c + 19; f = x + 12; x = e + 15; e = n + 20; m = f + 6; d = r + 3; r = p + 2. If n = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 11", "s": "o + 19", "v": "s + 5", "u": "v + 10", "i": "u + 17", "g": "i + 17", "j": "t + 11", "h": "j + 13", "w": "h + 6", "f": "w + 2", "d": "f + 1", "c": "d + 1", "t": 7}, "premises": {"t": 7}, "target": "g"}, "answer": {"steps": [["i", "u + 17", "u + 34"], ["u", "v + 10", "v + 44"], ["v", "s + 5", "s + 49"], ["s", "o + 19", "o + 68"], ["o", "t + 11", "t + 79"], ["t", 7, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"t": 7}, "is_reverse": true}} | 18,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 6; t = 7; s = o + 19; i = u + 17; j = t + 11; o = t + 11; v = s + 5; c = d + 1; h = j + 13; g = i + 17; d = f + 1; u = v + 10; f = w + 2. If t = 7, 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 i = u + 17 to g, which gives g = u + 34.\n2. Substitute u = v + 10 to g, which gives g = v + 44.\n3. Substitute v = s + 5 to g, which gives g = s + 49.\n4. Substitute s = o + 19 to g, which gives g = o + 68.\n5. Substitute o = t + 11 to g, which gives g = t + 79.\n6. Substitute t = 7 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 18821,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 6; t = 7; s = o + 19; i = u + 17; j = t + 11; o = t + 11; v = s + 5; c = d + 1; h = j + 13; g = i + 17; d = f + 1; u = v + 10; f = w + 2. If t = 7, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 2", "l": "o + 13", "r": "l + 1", "q": "r + 15", "n": "q + 10", "z": "n + 5", "t": "h + 20", "y": "t + 16", "m": "y + 8", "w": "m + 12", "e": "w + 7", "c": "e + 4", "h": 16}, "premises": {"h": 16}, "target": "z"}, "answer": {"steps": [["n", "q + 10", "q + 15"], ["q", "r + 15", "r + 30"], ["r", "l + 1", "l + 31"], ["l", "o + 13", "o + 44"], ["o", "h + 2", "h + 46"], ["h", 16, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"h": 16}, "is_reverse": true}} | 18,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 16; l = o + 13; e = w + 7; w = m + 12; z = n + 5; r = l + 1; q = r + 15; t = h + 20; y = t + 16; m = y + 8; c = e + 4; o = h + 2; n = q + 10. Given that h = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 10 to z, which gives z = q + 15.\n2. Substitute q = r + 15 to z, which gives z = r + 30.\n3. Substitute r = l + 1 to z, which gives z = l + 31.\n4. Substitute l = o + 13 to z, which gives z = o + 44.\n5. Substitute o = h + 2 to z, which gives z = h + 46.\n6. Substitute h = 16 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 18822,
"question": "Suppose a collection of variables is related by the following definitions: h = 16; l = o + 13; e = w + 7; w = m + 12; z = n + 5; r = l + 1; q = r + 15; t = h + 20; y = t + 16; m = y + 8; c = e + 4; o = h + 2; n = q + 10. Given that h = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 17", "u": "y + 13", "j": "u + 1", "f": "j + 3", "s": "f + 16", "h": "s + 9", "m": "d + 15", "i": "m + 17", "w": "i + 4", "t": "w + 6", "o": "t + 2", "c": "o + 6", "d": 9}, "premises": {"d": 9}, "target": "h"}, "answer": {"steps": [["s", "f + 16", "f + 25"], ["f", "j + 3", "j + 28"], ["j", "u + 1", "u + 29"], ["u", "y + 13", "y + 42"], ["y", "d + 17", "d + 59"], ["d", 9, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"d": 9}, "is_reverse": true}} | 18,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 6; u = y + 13; h = s + 9; y = d + 17; w = i + 4; m = d + 15; c = o + 6; d = 9; s = f + 16; i = m + 17; o = t + 2; f = j + 3; j = u + 1. Given that d = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 16 to h, which gives h = f + 25.\n2. Substitute f = j + 3 to h, which gives h = j + 28.\n3. Substitute j = u + 1 to h, which gives h = u + 29.\n4. Substitute u = y + 13 to h, which gives h = y + 42.\n5. Substitute y = d + 17 to h, which gives h = d + 59.\n6. Substitute d = 9 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 18823,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 6; u = y + 13; h = s + 9; y = d + 17; w = i + 4; m = d + 15; c = o + 6; d = 9; s = f + 16; i = m + 17; o = t + 2; f = j + 3; j = u + 1. Given that d = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 11", "h": "d + 6", "f": "h + 1", "o": "f + 16", "r": "o + 4", "t": "r + 17", "c": "w + 13", "b": "c + 2", "g": "b + 15", "s": "g + 16", "x": "s + 6", "v": "x + 6", "w": 4}, "premises": {"w": 4}, "target": "t"}, "answer": {"steps": [["r", "o + 4", "o + 21"], ["o", "f + 16", "f + 37"], ["f", "h + 1", "h + 38"], ["h", "d + 6", "d + 44"], ["d", "w + 11", "w + 55"], ["w", 4, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"w": 4}, "is_reverse": true}} | 18,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 6; s = g + 16; o = f + 16; v = x + 6; t = r + 17; c = w + 13; f = h + 1; r = o + 4; h = d + 6; d = w + 11; w = 4; g = b + 15; b = c + 2. If w = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 4 to t, which gives t = o + 21.\n2. Substitute o = f + 16 to t, which gives t = f + 37.\n3. Substitute f = h + 1 to t, which gives t = h + 38.\n4. Substitute h = d + 6 to t, which gives t = d + 44.\n5. Substitute d = w + 11 to t, which gives t = w + 55.\n6. Substitute w = 4 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 18824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 6; s = g + 16; o = f + 16; v = x + 6; t = r + 17; c = w + 13; f = h + 1; r = o + 4; h = d + 6; d = w + 11; w = 4; g = b + 15; b = c + 2. If w = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 5", "o": "l + 19", "p": "o + 16", "h": "p + 15", "m": "h + 2", "z": "m + 10", "v": "r + 4", "a": "v + 9", "c": "a + 1", "y": "c + 20", "b": "y + 3", "s": "b + 5", "r": 17}, "premises": {"r": 17}, "target": "z"}, "answer": {"steps": [["m", "h + 2", "h + 12"], ["h", "p + 15", "p + 27"], ["p", "o + 16", "o + 43"], ["o", "l + 19", "l + 62"], ["l", "r + 5", "r + 67"], ["r", 17, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"r": 17}, "is_reverse": true}} | 18,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 5; s = b + 5; r = 17; c = a + 1; a = v + 9; m = h + 2; p = o + 16; h = p + 15; y = c + 20; o = l + 19; v = r + 4; z = m + 10; b = y + 3. If r = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 2 to z, which gives z = h + 12.\n2. Substitute h = p + 15 to z, which gives z = p + 27.\n3. Substitute p = o + 16 to z, which gives z = o + 43.\n4. Substitute o = l + 19 to z, which gives z = l + 62.\n5. Substitute l = r + 5 to z, which gives z = r + 67.\n6. Substitute r = 17 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 18825,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 5; s = b + 5; r = 17; c = a + 1; a = v + 9; m = h + 2; p = o + 16; h = p + 15; y = c + 20; o = l + 19; v = r + 4; z = m + 10; b = y + 3. If r = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 11", "p": "k + 4", "b": "p + 11", "l": "b + 4", "q": "l + 19", "u": "q + 12", "s": "g + 8", "e": "s + 18", "c": "e + 5", "x": "c + 2", "r": "x + 3", "v": "r + 12", "g": 17}, "premises": {"g": 17}, "target": "u"}, "answer": {"steps": [["q", "l + 19", "l + 31"], ["l", "b + 4", "b + 35"], ["b", "p + 11", "p + 46"], ["p", "k + 4", "k + 50"], ["k", "g + 11", "g + 61"], ["g", 17, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"g": 17}, "is_reverse": true}} | 18,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 4; g = 17; k = g + 11; u = q + 12; x = c + 2; v = r + 12; s = g + 8; l = b + 4; r = x + 3; e = s + 18; b = p + 11; c = e + 5; q = l + 19. If g = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 19 to u, which gives u = l + 31.\n2. Substitute l = b + 4 to u, which gives u = b + 35.\n3. Substitute b = p + 11 to u, which gives u = p + 46.\n4. Substitute p = k + 4 to u, which gives u = k + 50.\n5. Substitute k = g + 11 to u, which gives u = g + 61.\n6. Substitute g = 17 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 18826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 4; g = 17; k = g + 11; u = q + 12; x = c + 2; v = r + 12; s = g + 8; l = b + 4; r = x + 3; e = s + 18; b = p + 11; c = e + 5; q = l + 19. If g = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 13", "u": "s + 16", "x": "u + 3", "y": "x + 13", "i": "y + 7", "c": "i + 14", "t": "j + 14", "q": "t + 15", "o": "q + 2", "k": "o + 3", "b": "k + 6", "a": "b + 12", "j": 9}, "premises": {"j": 9}, "target": "c"}, "answer": {"steps": [["i", "y + 7", "y + 21"], ["y", "x + 13", "x + 34"], ["x", "u + 3", "u + 37"], ["u", "s + 16", "s + 53"], ["s", "j + 13", "j + 66"], ["j", 9, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"j": 9}, "is_reverse": true}} | 18,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 2; b = k + 6; k = o + 3; a = b + 12; q = t + 15; t = j + 14; s = j + 13; i = y + 7; c = i + 14; u = s + 16; x = u + 3; y = x + 13; j = 9. Given that j = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 7 to c, which gives c = y + 21.\n2. Substitute y = x + 13 to c, which gives c = x + 34.\n3. Substitute x = u + 3 to c, which gives c = u + 37.\n4. Substitute u = s + 16 to c, which gives c = s + 53.\n5. Substitute s = j + 13 to c, which gives c = j + 66.\n6. Substitute j = 9 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 18827,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 2; b = k + 6; k = o + 3; a = b + 12; q = t + 15; t = j + 14; s = j + 13; i = y + 7; c = i + 14; u = s + 16; x = u + 3; y = x + 13; j = 9. Given that j = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 8", "u": "l + 12", "p": "u + 17", "x": "p + 15", "h": "x + 15", "q": "h + 17", "c": "w + 20", "s": "c + 3", "y": "s + 11", "d": "y + 6", "j": "d + 12", "k": "j + 15", "w": 3}, "premises": {"w": 3}, "target": "q"}, "answer": {"steps": [["h", "x + 15", "x + 32"], ["x", "p + 15", "p + 47"], ["p", "u + 17", "u + 64"], ["u", "l + 12", "l + 76"], ["l", "w + 8", "w + 84"], ["w", 3, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"w": 3}, "is_reverse": true}} | 18,828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 6; w = 3; s = c + 3; l = w + 8; h = x + 15; x = p + 15; p = u + 17; q = h + 17; j = d + 12; u = l + 12; k = j + 15; c = w + 20; y = s + 11. If w = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 15 to q, which gives q = x + 32.\n2. Substitute x = p + 15 to q, which gives q = p + 47.\n3. Substitute p = u + 17 to q, which gives q = u + 64.\n4. Substitute u = l + 12 to q, which gives q = l + 76.\n5. Substitute l = w + 8 to q, which gives q = w + 84.\n6. Substitute w = 3 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 18828,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 6; w = 3; s = c + 3; l = w + 8; h = x + 15; x = p + 15; p = u + 17; q = h + 17; j = d + 12; u = l + 12; k = j + 15; c = w + 20; y = s + 11. If w = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 15", "y": "s + 4", "b": "y + 12", "h": "b + 17", "e": "h + 17", "m": "e + 12", "l": "q + 13", "g": "l + 13", "o": "g + 15", "u": "o + 10", "k": "u + 18", "r": "k + 7", "q": 4}, "premises": {"q": 4}, "target": "m"}, "answer": {"steps": [["e", "h + 17", "h + 29"], ["h", "b + 17", "b + 46"], ["b", "y + 12", "y + 58"], ["y", "s + 4", "s + 62"], ["s", "q + 15", "q + 77"], ["q", 4, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"q": 4}, "is_reverse": true}} | 18,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 13; g = l + 13; h = b + 17; s = q + 15; q = 4; e = h + 17; r = k + 7; y = s + 4; m = e + 12; o = g + 15; b = y + 12; k = u + 18; u = o + 10. If q = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 17 to m, which gives m = h + 29.\n2. Substitute h = b + 17 to m, which gives m = b + 46.\n3. Substitute b = y + 12 to m, which gives m = y + 58.\n4. Substitute y = s + 4 to m, which gives m = s + 62.\n5. Substitute s = q + 15 to m, which gives m = q + 77.\n6. Substitute q = 4 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 18829,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 13; g = l + 13; h = b + 17; s = q + 15; q = 4; e = h + 17; r = k + 7; y = s + 4; m = e + 12; o = g + 15; b = y + 12; k = u + 18; u = o + 10. If q = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 19", "z": "y + 4", "w": "z + 9", "b": "w + 6", "l": "b + 11", "a": "l + 16", "j": "i + 3", "u": "j + 13", "n": "u + 18", "c": "n + 9", "p": "c + 19", "q": "p + 5", "i": 7}, "premises": {"i": 7}, "target": "a"}, "answer": {"steps": [["l", "b + 11", "b + 27"], ["b", "w + 6", "w + 33"], ["w", "z + 9", "z + 42"], ["z", "y + 4", "y + 46"], ["y", "i + 19", "i + 65"], ["i", 7, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"i": 7}, "is_reverse": true}} | 18,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 19; u = j + 13; c = n + 9; z = y + 4; i = 7; q = p + 5; b = w + 6; y = i + 19; l = b + 11; n = u + 18; j = i + 3; a = l + 16; w = z + 9. If i = 7, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 11 to a, which gives a = b + 27.\n2. Substitute b = w + 6 to a, which gives a = w + 33.\n3. Substitute w = z + 9 to a, which gives a = z + 42.\n4. Substitute z = y + 4 to a, which gives a = y + 46.\n5. Substitute y = i + 19 to a, which gives a = i + 65.\n6. Substitute i = 7 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 18830,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 19; u = j + 13; c = n + 9; z = y + 4; i = 7; q = p + 5; b = w + 6; y = i + 19; l = b + 11; n = u + 18; j = i + 3; a = l + 16; w = z + 9. If i = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 14", "u": "c + 15", "e": "u + 16", "s": "e + 16", "y": "s + 10", "q": "y + 15", "w": "p + 2", "t": "w + 13", "z": "t + 8", "f": "z + 10", "g": "f + 18", "h": "g + 13", "p": 12}, "premises": {"p": 12}, "target": "q"}, "answer": {"steps": [["y", "s + 10", "s + 25"], ["s", "e + 16", "e + 41"], ["e", "u + 16", "u + 57"], ["u", "c + 15", "c + 72"], ["c", "p + 14", "p + 86"], ["p", 12, "98"]], "target_var_name": "q", "target_value": 98, "value_dict": {"p": 12}, "is_reverse": true}} | 18,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = f + 18; p = 12; z = t + 8; c = p + 14; e = u + 16; t = w + 13; w = p + 2; s = e + 16; h = g + 13; q = y + 15; y = s + 10; u = c + 15; f = z + 10. Given that p = 12, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 10 to q, which gives q = s + 25.\n2. Substitute s = e + 16 to q, which gives q = e + 41.\n3. Substitute e = u + 16 to q, which gives q = u + 57.\n4. Substitute u = c + 15 to q, which gives q = c + 72.\n5. Substitute c = p + 14 to q, which gives q = p + 86.\n6. Substitute p = 12 to q, which gives q = 98.\n\nThus, the final answer is q = \\boxed{98}.",
"index": 18831,
"question": "Suppose a collection of variables is related by the following definitions: g = f + 18; p = 12; z = t + 8; c = p + 14; e = u + 16; t = w + 13; w = p + 2; s = e + 16; h = g + 13; q = y + 15; y = s + 10; u = c + 15; f = z + 10. Given that p = 12, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 14", "b": "h + 14", "n": "b + 8", "q": "n + 19", "x": "q + 18", "g": "x + 20", "d": "a + 7", "s": "d + 13", "p": "s + 4", "r": "p + 19", "y": "r + 20", "l": "y + 1", "a": 19}, "premises": {"a": 19}, "target": "g"}, "answer": {"steps": [["x", "q + 18", "q + 38"], ["q", "n + 19", "n + 57"], ["n", "b + 8", "b + 65"], ["b", "h + 14", "h + 79"], ["h", "a + 14", "a + 93"], ["a", 19, "112"]], "target_var_name": "g", "target_value": 112, "value_dict": {"a": 19}, "is_reverse": true}} | 18,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 14; b = h + 14; n = b + 8; s = d + 13; p = s + 4; d = a + 7; x = q + 18; l = y + 1; g = x + 20; y = r + 20; a = 19; r = p + 19; q = n + 19. If a = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 18 to g, which gives g = q + 38.\n2. Substitute q = n + 19 to g, which gives g = n + 57.\n3. Substitute n = b + 8 to g, which gives g = b + 65.\n4. Substitute b = h + 14 to g, which gives g = h + 79.\n5. Substitute h = a + 14 to g, which gives g = a + 93.\n6. Substitute a = 19 to g, which gives g = 112.\n\nThus, the final answer is g = \\boxed{112}.",
"index": 18832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 14; b = h + 14; n = b + 8; s = d + 13; p = s + 4; d = a + 7; x = q + 18; l = y + 1; g = x + 20; y = r + 20; a = 19; r = p + 19; q = n + 19. If a = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 12", "d": "r + 5", "u": "d + 5", "q": "u + 4", "p": "q + 7", "t": "p + 11", "j": "a + 6", "i": "j + 10", "f": "i + 20", "l": "f + 4", "s": "l + 12", "g": "s + 1", "a": 10}, "premises": {"a": 10}, "target": "t"}, "answer": {"steps": [["p", "q + 7", "q + 18"], ["q", "u + 4", "u + 22"], ["u", "d + 5", "d + 27"], ["d", "r + 5", "r + 32"], ["r", "a + 12", "a + 44"], ["a", 10, "54"]], "target_var_name": "t", "target_value": 54, "value_dict": {"a": 10}, "is_reverse": true}} | 18,833 | 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 = d + 5; r = a + 12; f = i + 20; i = j + 10; a = 10; q = u + 4; j = a + 6; d = r + 5; l = f + 4; s = l + 12; p = q + 7; g = s + 1; t = p + 11. If a = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 7 to t, which gives t = q + 18.\n2. Substitute q = u + 4 to t, which gives t = u + 22.\n3. Substitute u = d + 5 to t, which gives t = d + 27.\n4. Substitute d = r + 5 to t, which gives t = r + 32.\n5. Substitute r = a + 12 to t, which gives t = a + 44.\n6. Substitute a = 10 to t, which gives t = 54.\n\nThus, the final answer is t = \\boxed{54}.",
"index": 18833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 5; r = a + 12; f = i + 20; i = j + 10; a = 10; q = u + 4; j = a + 6; d = r + 5; l = f + 4; s = l + 12; p = q + 7; g = s + 1; t = p + 11. If a = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 16", "q": "a + 1", "k": "q + 8", "n": "k + 14", "p": "n + 3", "w": "p + 4", "y": "f + 15", "l": "y + 4", "d": "l + 20", "v": "d + 14", "e": "v + 14", "r": "e + 1", "f": 13}, "premises": {"f": 13}, "target": "w"}, "answer": {"steps": [["p", "n + 3", "n + 7"], ["n", "k + 14", "k + 21"], ["k", "q + 8", "q + 29"], ["q", "a + 1", "a + 30"], ["a", "f + 16", "f + 46"], ["f", 13, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"f": 13}, "is_reverse": true}} | 18,834 | 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 = f + 15; a = f + 16; n = k + 14; w = p + 4; q = a + 1; e = v + 14; d = l + 20; l = y + 4; v = d + 14; f = 13; p = n + 3; k = q + 8; r = e + 1. If f = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 3 to w, which gives w = n + 7.\n2. Substitute n = k + 14 to w, which gives w = k + 21.\n3. Substitute k = q + 8 to w, which gives w = q + 29.\n4. Substitute q = a + 1 to w, which gives w = a + 30.\n5. Substitute a = f + 16 to w, which gives w = f + 46.\n6. Substitute f = 13 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 18834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 15; a = f + 16; n = k + 14; w = p + 4; q = a + 1; e = v + 14; d = l + 20; l = y + 4; v = d + 14; f = 13; p = n + 3; k = q + 8; r = e + 1. If f = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 11", "p": "e + 1", "f": "p + 14", "d": "f + 9", "c": "d + 18", "t": "c + 16", "i": "o + 5", "q": "i + 18", "n": "q + 3", "j": "n + 16", "u": "j + 8", "z": "u + 16", "o": 10}, "premises": {"o": 10}, "target": "t"}, "answer": {"steps": [["c", "d + 18", "d + 34"], ["d", "f + 9", "f + 43"], ["f", "p + 14", "p + 57"], ["p", "e + 1", "e + 58"], ["e", "o + 11", "o + 69"], ["o", 10, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"o": 10}, "is_reverse": true}} | 18,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 16; t = c + 16; z = u + 16; f = p + 14; n = q + 3; u = j + 8; c = d + 18; o = 10; e = o + 11; i = o + 5; p = e + 1; d = f + 9; q = i + 18. If o = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 18 to t, which gives t = d + 34.\n2. Substitute d = f + 9 to t, which gives t = f + 43.\n3. Substitute f = p + 14 to t, which gives t = p + 57.\n4. Substitute p = e + 1 to t, which gives t = e + 58.\n5. Substitute e = o + 11 to t, which gives t = o + 69.\n6. Substitute o = 10 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 18835,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 16; t = c + 16; z = u + 16; f = p + 14; n = q + 3; u = j + 8; c = d + 18; o = 10; e = o + 11; i = o + 5; p = e + 1; d = f + 9; q = i + 18. If o = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 19", "x": "i + 11", "n": "x + 20", "m": "n + 1", "d": "m + 16", "c": "d + 10", "g": "k + 2", "o": "g + 8", "w": "o + 4", "j": "w + 13", "z": "j + 15", "t": "z + 6", "k": 2}, "premises": {"k": 2}, "target": "c"}, "answer": {"steps": [["d", "m + 16", "m + 26"], ["m", "n + 1", "n + 27"], ["n", "x + 20", "x + 47"], ["x", "i + 11", "i + 58"], ["i", "k + 19", "k + 77"], ["k", 2, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"k": 2}, "is_reverse": true}} | 18,836 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 13; t = z + 6; g = k + 2; i = k + 19; o = g + 8; m = n + 1; c = d + 10; z = j + 15; x = i + 11; k = 2; w = o + 4; n = x + 20; d = m + 16. If k = 2, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 16 to c, which gives c = m + 26.\n2. Substitute m = n + 1 to c, which gives c = n + 27.\n3. Substitute n = x + 20 to c, which gives c = x + 47.\n4. Substitute x = i + 11 to c, which gives c = i + 58.\n5. Substitute i = k + 19 to c, which gives c = k + 77.\n6. Substitute k = 2 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 18836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 13; t = z + 6; g = k + 2; i = k + 19; o = g + 8; m = n + 1; c = d + 10; z = j + 15; x = i + 11; k = 2; w = o + 4; n = x + 20; d = m + 16. If k = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 3", "d": "i + 8", "k": "d + 14", "e": "k + 7", "r": "e + 18", "g": "r + 16", "z": "b + 11", "v": "z + 11", "l": "v + 14", "u": "l + 11", "a": "u + 19", "n": "a + 3", "b": 18}, "premises": {"b": 18}, "target": "g"}, "answer": {"steps": [["r", "e + 18", "e + 34"], ["e", "k + 7", "k + 41"], ["k", "d + 14", "d + 55"], ["d", "i + 8", "i + 63"], ["i", "b + 3", "b + 66"], ["b", 18, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"b": 18}, "is_reverse": true}} | 18,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = k + 7; b = 18; i = b + 3; l = v + 14; d = i + 8; v = z + 11; k = d + 14; a = u + 19; z = b + 11; r = e + 18; n = a + 3; u = l + 11; g = r + 16. Given that b = 18, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 18 to g, which gives g = e + 34.\n2. Substitute e = k + 7 to g, which gives g = k + 41.\n3. Substitute k = d + 14 to g, which gives g = d + 55.\n4. Substitute d = i + 8 to g, which gives g = i + 63.\n5. Substitute i = b + 3 to g, which gives g = b + 66.\n6. Substitute b = 18 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 18837,
"question": "Suppose a collection of variables is related by the following definitions: e = k + 7; b = 18; i = b + 3; l = v + 14; d = i + 8; v = z + 11; k = d + 14; a = u + 19; z = b + 11; r = e + 18; n = a + 3; u = l + 11; g = r + 16. Given that b = 18, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 9", "n": "r + 6", "v": "n + 12", "i": "v + 19", "h": "i + 6", "b": "h + 3", "s": "t + 20", "a": "s + 11", "c": "a + 2", "f": "c + 4", "o": "f + 19", "x": "o + 15", "t": 14}, "premises": {"t": 14}, "target": "b"}, "answer": {"steps": [["h", "i + 6", "i + 9"], ["i", "v + 19", "v + 28"], ["v", "n + 12", "n + 40"], ["n", "r + 6", "r + 46"], ["r", "t + 9", "t + 55"], ["t", 14, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"t": 14}, "is_reverse": true}} | 18,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 20; o = f + 19; v = n + 12; c = a + 2; b = h + 3; n = r + 6; h = i + 6; x = o + 15; t = 14; r = t + 9; f = c + 4; a = s + 11; i = v + 19. Given that t = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 6 to b, which gives b = i + 9.\n2. Substitute i = v + 19 to b, which gives b = v + 28.\n3. Substitute v = n + 12 to b, which gives b = n + 40.\n4. Substitute n = r + 6 to b, which gives b = r + 46.\n5. Substitute r = t + 9 to b, which gives b = t + 55.\n6. Substitute t = 14 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 18838,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 20; o = f + 19; v = n + 12; c = a + 2; b = h + 3; n = r + 6; h = i + 6; x = o + 15; t = 14; r = t + 9; f = c + 4; a = s + 11; i = v + 19. Given that t = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 18", "e": "w + 20", "v": "e + 2", "r": "v + 20", "m": "r + 2", "x": "m + 17", "b": "k + 4", "t": "b + 2", "c": "t + 20", "d": "c + 18", "q": "d + 17", "n": "q + 1", "k": 5}, "premises": {"k": 5}, "target": "x"}, "answer": {"steps": [["m", "r + 2", "r + 19"], ["r", "v + 20", "v + 39"], ["v", "e + 2", "e + 41"], ["e", "w + 20", "w + 61"], ["w", "k + 18", "k + 79"], ["k", 5, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"k": 5}, "is_reverse": true}} | 18,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = w + 20; x = m + 17; n = q + 1; q = d + 17; v = e + 2; c = t + 20; t = b + 2; w = k + 18; b = k + 4; r = v + 20; d = c + 18; m = r + 2; k = 5. Given that k = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 2 to x, which gives x = r + 19.\n2. Substitute r = v + 20 to x, which gives x = v + 39.\n3. Substitute v = e + 2 to x, which gives x = e + 41.\n4. Substitute e = w + 20 to x, which gives x = w + 61.\n5. Substitute w = k + 18 to x, which gives x = k + 79.\n6. Substitute k = 5 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 18839,
"question": "Suppose a collection of variables is related by the following definitions: e = w + 20; x = m + 17; n = q + 1; q = d + 17; v = e + 2; c = t + 20; t = b + 2; w = k + 18; b = k + 4; r = v + 20; d = c + 18; m = r + 2; k = 5. Given that k = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 6", "a": "u + 13", "o": "a + 17", "y": "o + 2", "l": "y + 9", "i": "l + 10", "j": "b + 3", "w": "j + 5", "z": "w + 8", "f": "z + 15", "p": "f + 16", "d": "p + 20", "b": 13}, "premises": {"b": 13}, "target": "i"}, "answer": {"steps": [["l", "y + 9", "y + 19"], ["y", "o + 2", "o + 21"], ["o", "a + 17", "a + 38"], ["a", "u + 13", "u + 51"], ["u", "b + 6", "b + 57"], ["b", 13, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"b": 13}, "is_reverse": true}} | 18,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 13; z = w + 8; i = l + 10; d = p + 20; u = b + 6; l = y + 9; o = a + 17; a = u + 13; f = z + 15; j = b + 3; p = f + 16; y = o + 2; w = j + 5. If b = 13, determine the 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 l = y + 9 to i, which gives i = y + 19.\n2. Substitute y = o + 2 to i, which gives i = o + 21.\n3. Substitute o = a + 17 to i, which gives i = a + 38.\n4. Substitute a = u + 13 to i, which gives i = u + 51.\n5. Substitute u = b + 6 to i, which gives i = b + 57.\n6. Substitute b = 13 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 18840,
"question": "Consider a system of variables where each variable is defined as follows: b = 13; z = w + 8; i = l + 10; d = p + 20; u = b + 6; l = y + 9; o = a + 17; a = u + 13; f = z + 15; j = b + 3; p = f + 16; y = o + 2; w = j + 5. If b = 13, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 4", "g": "b + 8", "t": "g + 18", "n": "t + 3", "j": "n + 14", "y": "j + 12", "o": "q + 14", "v": "o + 17", "k": "v + 16", "l": "k + 1", "s": "l + 14", "m": "s + 2", "q": 4}, "premises": {"q": 4}, "target": "y"}, "answer": {"steps": [["j", "n + 14", "n + 26"], ["n", "t + 3", "t + 29"], ["t", "g + 18", "g + 47"], ["g", "b + 8", "b + 55"], ["b", "q + 4", "q + 59"], ["q", 4, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"q": 4}, "is_reverse": true}} | 18,841 | 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 = q + 4; m = s + 2; q = 4; l = k + 1; j = n + 14; t = g + 18; k = v + 16; o = q + 14; g = b + 8; s = l + 14; n = t + 3; y = j + 12; v = o + 17. If q = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 14 to y, which gives y = n + 26.\n2. Substitute n = t + 3 to y, which gives y = t + 29.\n3. Substitute t = g + 18 to y, which gives y = g + 47.\n4. Substitute g = b + 8 to y, which gives y = b + 55.\n5. Substitute b = q + 4 to y, which gives y = q + 59.\n6. Substitute q = 4 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 18841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 4; m = s + 2; q = 4; l = k + 1; j = n + 14; t = g + 18; k = v + 16; o = q + 14; g = b + 8; s = l + 14; n = t + 3; y = j + 12; v = o + 17. If q = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 1", "u": "i + 7", "x": "u + 15", "p": "x + 1", "j": "p + 19", "w": "j + 14", "s": "n + 16", "y": "s + 16", "g": "y + 19", "l": "g + 19", "b": "l + 1", "a": "b + 7", "n": 1}, "premises": {"n": 1}, "target": "w"}, "answer": {"steps": [["j", "p + 19", "p + 33"], ["p", "x + 1", "x + 34"], ["x", "u + 15", "u + 49"], ["u", "i + 7", "i + 56"], ["i", "n + 1", "n + 57"], ["n", 1, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"n": 1}, "is_reverse": true}} | 18,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 1; i = n + 1; j = p + 19; p = x + 1; x = u + 15; w = j + 14; n = 1; g = y + 19; y = s + 16; u = i + 7; l = g + 19; a = b + 7; s = n + 16. If n = 1, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 19 to w, which gives w = p + 33.\n2. Substitute p = x + 1 to w, which gives w = x + 34.\n3. Substitute x = u + 15 to w, which gives w = u + 49.\n4. Substitute u = i + 7 to w, which gives w = i + 56.\n5. Substitute i = n + 1 to w, which gives w = n + 57.\n6. Substitute n = 1 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 18842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 1; i = n + 1; j = p + 19; p = x + 1; x = u + 15; w = j + 14; n = 1; g = y + 19; y = s + 16; u = i + 7; l = g + 19; a = b + 7; s = n + 16. If n = 1, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 5", "f": "v + 4", "x": "f + 9", "k": "x + 14", "p": "k + 16", "a": "p + 6", "z": "n + 7", "g": "z + 16", "q": "g + 12", "t": "q + 17", "r": "t + 3", "i": "r + 6", "n": 6}, "premises": {"n": 6}, "target": "a"}, "answer": {"steps": [["p", "k + 16", "k + 22"], ["k", "x + 14", "x + 36"], ["x", "f + 9", "f + 45"], ["f", "v + 4", "v + 49"], ["v", "n + 5", "n + 54"], ["n", 6, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"n": 6}, "is_reverse": true}} | 18,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 16; i = r + 6; f = v + 4; t = q + 17; v = n + 5; r = t + 3; x = f + 9; a = p + 6; k = x + 14; q = g + 12; n = 6; p = k + 16; z = n + 7. Given that n = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 16 to a, which gives a = k + 22.\n2. Substitute k = x + 14 to a, which gives a = x + 36.\n3. Substitute x = f + 9 to a, which gives a = f + 45.\n4. Substitute f = v + 4 to a, which gives a = v + 49.\n5. Substitute v = n + 5 to a, which gives a = n + 54.\n6. Substitute n = 6 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 18843,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 16; i = r + 6; f = v + 4; t = q + 17; v = n + 5; r = t + 3; x = f + 9; a = p + 6; k = x + 14; q = g + 12; n = 6; p = k + 16; z = n + 7. Given that n = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 10", "i": "r + 10", "b": "i + 9", "h": "b + 11", "o": "h + 20", "f": "o + 20", "z": "w + 12", "j": "z + 5", "y": "j + 18", "a": "y + 16", "k": "a + 2", "m": "k + 18", "w": 14}, "premises": {"w": 14}, "target": "f"}, "answer": {"steps": [["o", "h + 20", "h + 40"], ["h", "b + 11", "b + 51"], ["b", "i + 9", "i + 60"], ["i", "r + 10", "r + 70"], ["r", "w + 10", "w + 80"], ["w", 14, "94"]], "target_var_name": "f", "target_value": 94, "value_dict": {"w": 14}, "is_reverse": true}} | 18,844 | 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 = 14; m = k + 18; a = y + 16; i = r + 10; h = b + 11; y = j + 18; f = o + 20; r = w + 10; b = i + 9; j = z + 5; z = w + 12; k = a + 2; o = h + 20. If w = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 20 to f, which gives f = h + 40.\n2. Substitute h = b + 11 to f, which gives f = b + 51.\n3. Substitute b = i + 9 to f, which gives f = i + 60.\n4. Substitute i = r + 10 to f, which gives f = r + 70.\n5. Substitute r = w + 10 to f, which gives f = w + 80.\n6. Substitute w = 14 to f, which gives f = 94.\n\nThus, the final answer is f = \\boxed{94}.",
"index": 18844,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 14; m = k + 18; a = y + 16; i = r + 10; h = b + 11; y = j + 18; f = o + 20; r = w + 10; b = i + 9; j = z + 5; z = w + 12; k = a + 2; o = h + 20. If w = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 5", "v": "b + 9", "i": "v + 8", "c": "i + 12", "j": "c + 12", "o": "j + 8", "k": "s + 1", "z": "k + 19", "n": "z + 3", "l": "n + 20", "f": "l + 3", "g": "f + 1", "s": 15}, "premises": {"s": 15}, "target": "o"}, "answer": {"steps": [["j", "c + 12", "c + 20"], ["c", "i + 12", "i + 32"], ["i", "v + 8", "v + 40"], ["v", "b + 9", "b + 49"], ["b", "s + 5", "s + 54"], ["s", 15, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"s": 15}, "is_reverse": true}} | 18,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 9; s = 15; j = c + 12; k = s + 1; b = s + 5; n = z + 3; g = f + 1; f = l + 3; z = k + 19; i = v + 8; o = j + 8; l = n + 20; c = i + 12. If s = 15, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 12 to o, which gives o = c + 20.\n2. Substitute c = i + 12 to o, which gives o = i + 32.\n3. Substitute i = v + 8 to o, which gives o = v + 40.\n4. Substitute v = b + 9 to o, which gives o = b + 49.\n5. Substitute b = s + 5 to o, which gives o = s + 54.\n6. Substitute s = 15 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 18845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 9; s = 15; j = c + 12; k = s + 1; b = s + 5; n = z + 3; g = f + 1; f = l + 3; z = k + 19; i = v + 8; o = j + 8; l = n + 20; c = i + 12. If s = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 17", "x": "y + 14", "d": "x + 5", "p": "d + 18", "f": "p + 14", "m": "f + 11", "b": "s + 13", "l": "b + 3", "w": "l + 13", "k": "w + 12", "g": "k + 13", "i": "g + 20", "s": 19}, "premises": {"s": 19}, "target": "m"}, "answer": {"steps": [["f", "p + 14", "p + 25"], ["p", "d + 18", "d + 43"], ["d", "x + 5", "x + 48"], ["x", "y + 14", "y + 62"], ["y", "s + 17", "s + 79"], ["s", 19, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"s": 19}, "is_reverse": true}} | 18,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 14; i = g + 20; f = p + 14; s = 19; l = b + 3; y = s + 17; d = x + 5; m = f + 11; g = k + 13; w = l + 13; b = s + 13; p = d + 18; k = w + 12. If s = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 14 to m, which gives m = p + 25.\n2. Substitute p = d + 18 to m, which gives m = d + 43.\n3. Substitute d = x + 5 to m, which gives m = x + 48.\n4. Substitute x = y + 14 to m, which gives m = y + 62.\n5. Substitute y = s + 17 to m, which gives m = s + 79.\n6. Substitute s = 19 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 18846,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 14; i = g + 20; f = p + 14; s = 19; l = b + 3; y = s + 17; d = x + 5; m = f + 11; g = k + 13; w = l + 13; b = s + 13; p = d + 18; k = w + 12. If s = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 9", "y": "o + 20", "i": "y + 2", "d": "i + 12", "k": "d + 3", "t": "k + 14", "b": "m + 3", "q": "b + 4", "j": "q + 8", "l": "j + 13", "v": "l + 13", "a": "v + 17", "m": 19}, "premises": {"m": 19}, "target": "t"}, "answer": {"steps": [["k", "d + 3", "d + 17"], ["d", "i + 12", "i + 29"], ["i", "y + 2", "y + 31"], ["y", "o + 20", "o + 51"], ["o", "m + 9", "m + 60"], ["m", 19, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"m": 19}, "is_reverse": true}} | 18,847 | 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 = v + 17; i = y + 2; j = q + 8; q = b + 4; m = 19; k = d + 3; l = j + 13; b = m + 3; y = o + 20; o = m + 9; v = l + 13; t = k + 14; d = i + 12. If m = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 3 to t, which gives t = d + 17.\n2. Substitute d = i + 12 to t, which gives t = i + 29.\n3. Substitute i = y + 2 to t, which gives t = y + 31.\n4. Substitute y = o + 20 to t, which gives t = o + 51.\n5. Substitute o = m + 9 to t, which gives t = m + 60.\n6. Substitute m = 19 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 18847,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 17; i = y + 2; j = q + 8; q = b + 4; m = 19; k = d + 3; l = j + 13; b = m + 3; y = o + 20; o = m + 9; v = l + 13; t = k + 14; d = i + 12. If m = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 12", "m": "x + 2", "v": "m + 8", "n": "v + 17", "b": "n + 6", "f": "b + 11", "r": "c + 18", "a": "r + 6", "z": "a + 18", "h": "z + 10", "y": "h + 5", "s": "y + 16", "c": 2}, "premises": {"c": 2}, "target": "f"}, "answer": {"steps": [["b", "n + 6", "n + 17"], ["n", "v + 17", "v + 34"], ["v", "m + 8", "m + 42"], ["m", "x + 2", "x + 44"], ["x", "c + 12", "c + 56"], ["c", 2, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"c": 2}, "is_reverse": true}} | 18,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 18; x = c + 12; b = n + 6; h = z + 10; c = 2; n = v + 17; f = b + 11; s = y + 16; r = c + 18; m = x + 2; y = h + 5; v = m + 8; a = r + 6. If c = 2, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 6 to f, which gives f = n + 17.\n2. Substitute n = v + 17 to f, which gives f = v + 34.\n3. Substitute v = m + 8 to f, which gives f = m + 42.\n4. Substitute m = x + 2 to f, which gives f = x + 44.\n5. Substitute x = c + 12 to f, which gives f = c + 56.\n6. Substitute c = 2 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 18848,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 18; x = c + 12; b = n + 6; h = z + 10; c = 2; n = v + 17; f = b + 11; s = y + 16; r = c + 18; m = x + 2; y = h + 5; v = m + 8; a = r + 6. If c = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 20", "b": "n + 18", "l": "b + 11", "m": "l + 18", "u": "m + 12", "d": "u + 11", "i": "q + 19", "j": "i + 8", "x": "j + 3", "z": "x + 5", "r": "z + 5", "h": "r + 1", "q": 15}, "premises": {"q": 15}, "target": "d"}, "answer": {"steps": [["u", "m + 12", "m + 23"], ["m", "l + 18", "l + 41"], ["l", "b + 11", "b + 52"], ["b", "n + 18", "n + 70"], ["n", "q + 20", "q + 90"], ["q", 15, "105"]], "target_var_name": "d", "target_value": 105, "value_dict": {"q": 15}, "is_reverse": true}} | 18,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 19; n = q + 20; j = i + 8; d = u + 11; b = n + 18; u = m + 12; l = b + 11; r = z + 5; x = j + 3; h = r + 1; z = x + 5; m = l + 18; q = 15. Given that q = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 12 to d, which gives d = m + 23.\n2. Substitute m = l + 18 to d, which gives d = l + 41.\n3. Substitute l = b + 11 to d, which gives d = b + 52.\n4. Substitute b = n + 18 to d, which gives d = n + 70.\n5. Substitute n = q + 20 to d, which gives d = q + 90.\n6. Substitute q = 15 to d, which gives d = 105.\n\nThus, the final answer is d = \\boxed{105}.",
"index": 18849,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 19; n = q + 20; j = i + 8; d = u + 11; b = n + 18; u = m + 12; l = b + 11; r = z + 5; x = j + 3; h = r + 1; z = x + 5; m = l + 18; q = 15. Given that q = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 13", "u": "e + 9", "k": "u + 17", "y": "k + 11", "r": "y + 4", "v": "r + 20", "a": "t + 13", "b": "a + 7", "s": "b + 1", "q": "s + 12", "c": "q + 16", "l": "c + 17", "t": 12}, "premises": {"t": 12}, "target": "v"}, "answer": {"steps": [["r", "y + 4", "y + 24"], ["y", "k + 11", "k + 35"], ["k", "u + 17", "u + 52"], ["u", "e + 9", "e + 61"], ["e", "t + 13", "t + 74"], ["t", 12, "86"]], "target_var_name": "v", "target_value": 86, "value_dict": {"t": 12}, "is_reverse": true}} | 18,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 16; v = r + 20; e = t + 13; t = 12; u = e + 9; y = k + 11; q = s + 12; a = t + 13; s = b + 1; k = u + 17; b = a + 7; l = c + 17; r = y + 4. If t = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 4 to v, which gives v = y + 24.\n2. Substitute y = k + 11 to v, which gives v = k + 35.\n3. Substitute k = u + 17 to v, which gives v = u + 52.\n4. Substitute u = e + 9 to v, which gives v = e + 61.\n5. Substitute e = t + 13 to v, which gives v = t + 74.\n6. Substitute t = 12 to v, which gives v = 86.\n\nThus, the final answer is v = \\boxed{86}.",
"index": 18850,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 16; v = r + 20; e = t + 13; t = 12; u = e + 9; y = k + 11; q = s + 12; a = t + 13; s = b + 1; k = u + 17; b = a + 7; l = c + 17; r = y + 4. If t = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 19", "r": "w + 19", "a": "r + 10", "i": "a + 11", "e": "i + 7", "k": "e + 12", "g": "t + 5", "p": "g + 2", "d": "p + 6", "b": "d + 14", "s": "b + 6", "l": "s + 18", "t": 15}, "premises": {"t": 15}, "target": "k"}, "answer": {"steps": [["e", "i + 7", "i + 19"], ["i", "a + 11", "a + 30"], ["a", "r + 10", "r + 40"], ["r", "w + 19", "w + 59"], ["w", "t + 19", "t + 78"], ["t", 15, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"t": 15}, "is_reverse": true}} | 18,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 5; r = w + 19; d = p + 6; e = i + 7; t = 15; i = a + 11; b = d + 14; p = g + 2; w = t + 19; s = b + 6; a = r + 10; l = s + 18; k = e + 12. Given that t = 15, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 7 to k, which gives k = i + 19.\n2. Substitute i = a + 11 to k, which gives k = a + 30.\n3. Substitute a = r + 10 to k, which gives k = r + 40.\n4. Substitute r = w + 19 to k, which gives k = w + 59.\n5. Substitute w = t + 19 to k, which gives k = t + 78.\n6. Substitute t = 15 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 18851,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 5; r = w + 19; d = p + 6; e = i + 7; t = 15; i = a + 11; b = d + 14; p = g + 2; w = t + 19; s = b + 6; a = r + 10; l = s + 18; k = e + 12. Given that t = 15, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 12", "u": "l + 20", "k": "u + 20", "r": "k + 1", "y": "r + 5", "w": "y + 8", "d": "h + 16", "p": "d + 1", "a": "p + 3", "e": "a + 11", "o": "e + 18", "v": "o + 4", "h": 11}, "premises": {"h": 11}, "target": "w"}, "answer": {"steps": [["y", "r + 5", "r + 13"], ["r", "k + 1", "k + 14"], ["k", "u + 20", "u + 34"], ["u", "l + 20", "l + 54"], ["l", "h + 12", "h + 66"], ["h", 11, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"h": 11}, "is_reverse": true}} | 18,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 4; e = a + 11; y = r + 5; w = y + 8; r = k + 1; d = h + 16; u = l + 20; k = u + 20; h = 11; a = p + 3; p = d + 1; o = e + 18; l = h + 12. Given that h = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 5 to w, which gives w = r + 13.\n2. Substitute r = k + 1 to w, which gives w = k + 14.\n3. Substitute k = u + 20 to w, which gives w = u + 34.\n4. Substitute u = l + 20 to w, which gives w = l + 54.\n5. Substitute l = h + 12 to w, which gives w = h + 66.\n6. Substitute h = 11 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 18852,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 4; e = a + 11; y = r + 5; w = y + 8; r = k + 1; d = h + 16; u = l + 20; k = u + 20; h = 11; a = p + 3; p = d + 1; o = e + 18; l = h + 12. Given that h = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 7", "k": "s + 16", "y": "k + 12", "o": "y + 10", "i": "o + 6", "f": "i + 2", "p": "r + 1", "t": "p + 4", "d": "t + 18", "w": "d + 2", "x": "w + 16", "m": "x + 15", "r": 19}, "premises": {"r": 19}, "target": "f"}, "answer": {"steps": [["i", "o + 6", "o + 8"], ["o", "y + 10", "y + 18"], ["y", "k + 12", "k + 30"], ["k", "s + 16", "s + 46"], ["s", "r + 7", "r + 53"], ["r", 19, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"r": 19}, "is_reverse": true}} | 18,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 15; i = o + 6; t = p + 4; s = r + 7; w = d + 2; k = s + 16; d = t + 18; o = y + 10; r = 19; f = i + 2; p = r + 1; y = k + 12; x = w + 16. Given that r = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 6 to f, which gives f = o + 8.\n2. Substitute o = y + 10 to f, which gives f = y + 18.\n3. Substitute y = k + 12 to f, which gives f = k + 30.\n4. Substitute k = s + 16 to f, which gives f = s + 46.\n5. Substitute s = r + 7 to f, which gives f = r + 53.\n6. Substitute r = 19 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 18853,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 15; i = o + 6; t = p + 4; s = r + 7; w = d + 2; k = s + 16; d = t + 18; o = y + 10; r = 19; f = i + 2; p = r + 1; y = k + 12; x = w + 16. Given that r = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 3", "z": "e + 17", "s": "z + 19", "u": "s + 2", "l": "u + 9", "x": "l + 1", "o": "t + 15", "f": "o + 8", "h": "f + 8", "g": "h + 5", "b": "g + 11", "p": "b + 20", "t": 3}, "premises": {"t": 3}, "target": "x"}, "answer": {"steps": [["l", "u + 9", "u + 10"], ["u", "s + 2", "s + 12"], ["s", "z + 19", "z + 31"], ["z", "e + 17", "e + 48"], ["e", "t + 3", "t + 51"], ["t", 3, "54"]], "target_var_name": "x", "target_value": 54, "value_dict": {"t": 3}, "is_reverse": true}} | 18,854 | 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 = t + 15; u = s + 2; z = e + 17; p = b + 20; g = h + 5; f = o + 8; b = g + 11; h = f + 8; t = 3; x = l + 1; s = z + 19; l = u + 9; e = t + 3. If t = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 9 to x, which gives x = u + 10.\n2. Substitute u = s + 2 to x, which gives x = s + 12.\n3. Substitute s = z + 19 to x, which gives x = z + 31.\n4. Substitute z = e + 17 to x, which gives x = e + 48.\n5. Substitute e = t + 3 to x, which gives x = t + 51.\n6. Substitute t = 3 to x, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 18854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = t + 15; u = s + 2; z = e + 17; p = b + 20; g = h + 5; f = o + 8; b = g + 11; h = f + 8; t = 3; x = l + 1; s = z + 19; l = u + 9; e = t + 3. If t = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 6", "p": "r + 13", "o": "p + 17", "k": "o + 20", "w": "k + 6", "d": "w + 10", "x": "m + 6", "z": "x + 7", "y": "z + 16", "e": "y + 7", "q": "e + 14", "l": "q + 19", "m": 6}, "premises": {"m": 6}, "target": "d"}, "answer": {"steps": [["w", "k + 6", "k + 16"], ["k", "o + 20", "o + 36"], ["o", "p + 17", "p + 53"], ["p", "r + 13", "r + 66"], ["r", "m + 6", "m + 72"], ["m", 6, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"m": 6}, "is_reverse": true}} | 18,855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 20; p = r + 13; d = w + 10; y = z + 16; q = e + 14; w = k + 6; z = x + 7; m = 6; e = y + 7; x = m + 6; l = q + 19; r = m + 6; o = p + 17. Given that m = 6, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 6 to d, which gives d = k + 16.\n2. Substitute k = o + 20 to d, which gives d = o + 36.\n3. Substitute o = p + 17 to d, which gives d = p + 53.\n4. Substitute p = r + 13 to d, which gives d = r + 66.\n5. Substitute r = m + 6 to d, which gives d = m + 72.\n6. Substitute m = 6 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 18855,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 20; p = r + 13; d = w + 10; y = z + 16; q = e + 14; w = k + 6; z = x + 7; m = 6; e = y + 7; x = m + 6; l = q + 19; r = m + 6; o = p + 17. Given that m = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 15", "s": "e + 9", "b": "s + 7", "d": "b + 16", "r": "d + 5", "l": "r + 13", "u": "g + 5", "v": "u + 18", "t": "v + 17", "f": "t + 14", "z": "f + 12", "h": "z + 16", "g": 14}, "premises": {"g": 14}, "target": "l"}, "answer": {"steps": [["r", "d + 5", "d + 18"], ["d", "b + 16", "b + 34"], ["b", "s + 7", "s + 41"], ["s", "e + 9", "e + 50"], ["e", "g + 15", "g + 65"], ["g", 14, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"g": 14}, "is_reverse": true}} | 18,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 13; z = f + 12; u = g + 5; r = d + 5; d = b + 16; s = e + 9; g = 14; t = v + 17; e = g + 15; f = t + 14; h = z + 16; b = s + 7; v = u + 18. If g = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 5 to l, which gives l = d + 18.\n2. Substitute d = b + 16 to l, which gives l = b + 34.\n3. Substitute b = s + 7 to l, which gives l = s + 41.\n4. Substitute s = e + 9 to l, which gives l = e + 50.\n5. Substitute e = g + 15 to l, which gives l = g + 65.\n6. Substitute g = 14 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 18856,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 13; z = f + 12; u = g + 5; r = d + 5; d = b + 16; s = e + 9; g = 14; t = v + 17; e = g + 15; f = t + 14; h = z + 16; b = s + 7; v = u + 18. If g = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 2", "r": "d + 15", "p": "r + 14", "k": "p + 6", "b": "k + 4", "z": "b + 7", "l": "i + 4", "a": "l + 20", "x": "a + 2", "t": "x + 3", "u": "t + 4", "m": "u + 12", "i": 18}, "premises": {"i": 18}, "target": "z"}, "answer": {"steps": [["b", "k + 4", "k + 11"], ["k", "p + 6", "p + 17"], ["p", "r + 14", "r + 31"], ["r", "d + 15", "d + 46"], ["d", "i + 2", "i + 48"], ["i", 18, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"i": 18}, "is_reverse": true}} | 18,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 14; r = d + 15; i = 18; d = i + 2; a = l + 20; m = u + 12; z = b + 7; u = t + 4; k = p + 6; t = x + 3; x = a + 2; l = i + 4; b = k + 4. Given that i = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 4 to z, which gives z = k + 11.\n2. Substitute k = p + 6 to z, which gives z = p + 17.\n3. Substitute p = r + 14 to z, which gives z = r + 31.\n4. Substitute r = d + 15 to z, which gives z = d + 46.\n5. Substitute d = i + 2 to z, which gives z = i + 48.\n6. Substitute i = 18 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 18857,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 14; r = d + 15; i = 18; d = i + 2; a = l + 20; m = u + 12; z = b + 7; u = t + 4; k = p + 6; t = x + 3; x = a + 2; l = i + 4; b = k + 4. Given that i = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 6", "j": "r + 3", "n": "j + 20", "q": "n + 13", "l": "q + 16", "i": "l + 2", "c": "p + 17", "t": "c + 6", "e": "t + 17", "w": "e + 6", "o": "w + 15", "m": "o + 4", "p": 17}, "premises": {"p": 17}, "target": "i"}, "answer": {"steps": [["l", "q + 16", "q + 18"], ["q", "n + 13", "n + 31"], ["n", "j + 20", "j + 51"], ["j", "r + 3", "r + 54"], ["r", "p + 6", "p + 60"], ["p", 17, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"p": 17}, "is_reverse": true}} | 18,858 | 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 = e + 6; e = t + 17; i = l + 2; m = o + 4; t = c + 6; c = p + 17; j = r + 3; p = 17; l = q + 16; q = n + 13; r = p + 6; o = w + 15; n = j + 20. If p = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 16 to i, which gives i = q + 18.\n2. Substitute q = n + 13 to i, which gives i = n + 31.\n3. Substitute n = j + 20 to i, which gives i = j + 51.\n4. Substitute j = r + 3 to i, which gives i = r + 54.\n5. Substitute r = p + 6 to i, which gives i = p + 60.\n6. Substitute p = 17 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 18858,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 6; e = t + 17; i = l + 2; m = o + 4; t = c + 6; c = p + 17; j = r + 3; p = 17; l = q + 16; q = n + 13; r = p + 6; o = w + 15; n = j + 20. If p = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 1", "k": "a + 12", "x": "k + 2", "l": "x + 15", "f": "l + 10", "t": "f + 20", "o": "v + 20", "s": "o + 17", "e": "s + 15", "c": "e + 7", "p": "c + 11", "d": "p + 14", "v": 4}, "premises": {"v": 4}, "target": "t"}, "answer": {"steps": [["f", "l + 10", "l + 30"], ["l", "x + 15", "x + 45"], ["x", "k + 2", "k + 47"], ["k", "a + 12", "a + 59"], ["a", "v + 1", "v + 60"], ["v", 4, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"v": 4}, "is_reverse": true}} | 18,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 10; s = o + 17; o = v + 20; a = v + 1; x = k + 2; l = x + 15; t = f + 20; e = s + 15; d = p + 14; k = a + 12; v = 4; p = c + 11; c = e + 7. If v = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 10 to t, which gives t = l + 30.\n2. Substitute l = x + 15 to t, which gives t = x + 45.\n3. Substitute x = k + 2 to t, which gives t = k + 47.\n4. Substitute k = a + 12 to t, which gives t = a + 59.\n5. Substitute a = v + 1 to t, which gives t = v + 60.\n6. Substitute v = 4 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 18859,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 10; s = o + 17; o = v + 20; a = v + 1; x = k + 2; l = x + 15; t = f + 20; e = s + 15; d = p + 14; k = a + 12; v = 4; p = c + 11; c = e + 7. If v = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 3", "h": "x + 15", "m": "h + 19", "p": "m + 6", "b": "p + 13", "q": "b + 13", "g": "f + 16", "v": "g + 7", "d": "v + 2", "o": "d + 7", "u": "o + 8", "r": "u + 19", "f": 13}, "premises": {"f": 13}, "target": "q"}, "answer": {"steps": [["b", "p + 13", "p + 26"], ["p", "m + 6", "m + 32"], ["m", "h + 19", "h + 51"], ["h", "x + 15", "x + 66"], ["x", "f + 3", "f + 69"], ["f", 13, "82"]], "target_var_name": "q", "target_value": 82, "value_dict": {"f": 13}, "is_reverse": true}} | 18,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = x + 15; q = b + 13; x = f + 3; r = u + 19; p = m + 6; o = d + 7; u = o + 8; g = f + 16; v = g + 7; d = v + 2; m = h + 19; f = 13; b = p + 13. If f = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 13 to q, which gives q = p + 26.\n2. Substitute p = m + 6 to q, which gives q = m + 32.\n3. Substitute m = h + 19 to q, which gives q = h + 51.\n4. Substitute h = x + 15 to q, which gives q = x + 66.\n5. Substitute x = f + 3 to q, which gives q = f + 69.\n6. Substitute f = 13 to q, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 18860,
"question": "Consider a system of variables where each variable is defined as follows: h = x + 15; q = b + 13; x = f + 3; r = u + 19; p = m + 6; o = d + 7; u = o + 8; g = f + 16; v = g + 7; d = v + 2; m = h + 19; f = 13; b = p + 13. If f = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 18", "h": "t + 2", "v": "h + 15", "l": "v + 20", "c": "l + 16", "r": "c + 4", "g": "m + 9", "a": "g + 17", "j": "a + 5", "o": "j + 18", "e": "o + 1", "i": "e + 2", "m": 19}, "premises": {"m": 19}, "target": "r"}, "answer": {"steps": [["c", "l + 16", "l + 20"], ["l", "v + 20", "v + 40"], ["v", "h + 15", "h + 55"], ["h", "t + 2", "t + 57"], ["t", "m + 18", "m + 75"], ["m", 19, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"m": 19}, "is_reverse": true}} | 18,861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 18; c = l + 16; r = c + 4; g = m + 9; t = m + 18; v = h + 15; e = o + 1; a = g + 17; h = t + 2; j = a + 5; l = v + 20; i = e + 2; m = 19. If m = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 16 to r, which gives r = l + 20.\n2. Substitute l = v + 20 to r, which gives r = v + 40.\n3. Substitute v = h + 15 to r, which gives r = h + 55.\n4. Substitute h = t + 2 to r, which gives r = t + 57.\n5. Substitute t = m + 18 to r, which gives r = m + 75.\n6. Substitute m = 19 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 18861,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 18; c = l + 16; r = c + 4; g = m + 9; t = m + 18; v = h + 15; e = o + 1; a = g + 17; h = t + 2; j = a + 5; l = v + 20; i = e + 2; m = 19. If m = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 12", "a": "r + 3", "w": "a + 4", "z": "w + 20", "q": "z + 16", "i": "q + 3", "o": "k + 16", "v": "o + 14", "e": "v + 8", "d": "e + 1", "s": "d + 5", "f": "s + 15", "k": 6}, "premises": {"k": 6}, "target": "i"}, "answer": {"steps": [["q", "z + 16", "z + 19"], ["z", "w + 20", "w + 39"], ["w", "a + 4", "a + 43"], ["a", "r + 3", "r + 46"], ["r", "k + 12", "k + 58"], ["k", 6, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"k": 6}, "is_reverse": true}} | 18,862 | 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 = e + 1; q = z + 16; w = a + 4; s = d + 5; a = r + 3; v = o + 14; e = v + 8; r = k + 12; f = s + 15; z = w + 20; k = 6; i = q + 3; o = k + 16. If k = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 16 to i, which gives i = z + 19.\n2. Substitute z = w + 20 to i, which gives i = w + 39.\n3. Substitute w = a + 4 to i, which gives i = a + 43.\n4. Substitute a = r + 3 to i, which gives i = r + 46.\n5. Substitute r = k + 12 to i, which gives i = k + 58.\n6. Substitute k = 6 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 18862,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 1; q = z + 16; w = a + 4; s = d + 5; a = r + 3; v = o + 14; e = v + 8; r = k + 12; f = s + 15; z = w + 20; k = 6; i = q + 3; o = k + 16. If k = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 17", "l": "x + 5", "h": "l + 16", "j": "h + 10", "u": "j + 12", "p": "u + 4", "r": "t + 10", "c": "r + 7", "s": "c + 6", "e": "s + 8", "a": "e + 11", "z": "a + 6", "t": 3}, "premises": {"t": 3}, "target": "p"}, "answer": {"steps": [["u", "j + 12", "j + 16"], ["j", "h + 10", "h + 26"], ["h", "l + 16", "l + 42"], ["l", "x + 5", "x + 47"], ["x", "t + 17", "t + 64"], ["t", 3, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"t": 3}, "is_reverse": true}} | 18,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 4; t = 3; z = a + 6; l = x + 5; s = c + 6; u = j + 12; h = l + 16; a = e + 11; c = r + 7; j = h + 10; e = s + 8; r = t + 10; x = t + 17. If t = 3, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 12 to p, which gives p = j + 16.\n2. Substitute j = h + 10 to p, which gives p = h + 26.\n3. Substitute h = l + 16 to p, which gives p = l + 42.\n4. Substitute l = x + 5 to p, which gives p = x + 47.\n5. Substitute x = t + 17 to p, which gives p = t + 64.\n6. Substitute t = 3 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 18863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 4; t = 3; z = a + 6; l = x + 5; s = c + 6; u = j + 12; h = l + 16; a = e + 11; c = r + 7; j = h + 10; e = s + 8; r = t + 10; x = t + 17. If t = 3, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 5", "x": "s + 1", "m": "x + 12", "q": "m + 18", "d": "q + 19", "u": "d + 13", "e": "y + 14", "i": "e + 2", "z": "i + 10", "w": "z + 20", "j": "w + 12", "r": "j + 1", "y": 12}, "premises": {"y": 12}, "target": "u"}, "answer": {"steps": [["d", "q + 19", "q + 32"], ["q", "m + 18", "m + 50"], ["m", "x + 12", "x + 62"], ["x", "s + 1", "s + 63"], ["s", "y + 5", "y + 68"], ["y", 12, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"y": 12}, "is_reverse": true}} | 18,864 | 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 + 14; q = m + 18; u = d + 13; s = y + 5; i = e + 2; m = x + 12; j = w + 12; w = z + 20; y = 12; x = s + 1; r = j + 1; d = q + 19; z = i + 10. If y = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 19 to u, which gives u = q + 32.\n2. Substitute q = m + 18 to u, which gives u = m + 50.\n3. Substitute m = x + 12 to u, which gives u = x + 62.\n4. Substitute x = s + 1 to u, which gives u = s + 63.\n5. Substitute s = y + 5 to u, which gives u = y + 68.\n6. Substitute y = 12 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 18864,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 14; q = m + 18; u = d + 13; s = y + 5; i = e + 2; m = x + 12; j = w + 12; w = z + 20; y = 12; x = s + 1; r = j + 1; d = q + 19; z = i + 10. If y = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 3", "c": "n + 8", "f": "c + 6", "d": "f + 10", "e": "d + 15", "g": "e + 16", "t": "i + 12", "x": "t + 5", "r": "x + 11", "h": "r + 7", "a": "h + 16", "o": "a + 6", "i": 12}, "premises": {"i": 12}, "target": "g"}, "answer": {"steps": [["e", "d + 15", "d + 31"], ["d", "f + 10", "f + 41"], ["f", "c + 6", "c + 47"], ["c", "n + 8", "n + 55"], ["n", "i + 3", "i + 58"], ["i", 12, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"i": 12}, "is_reverse": true}} | 18,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 8; a = h + 16; r = x + 11; i = 12; t = i + 12; h = r + 7; o = a + 6; g = e + 16; x = t + 5; e = d + 15; f = c + 6; n = i + 3; d = f + 10. Given that i = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 15 to g, which gives g = d + 31.\n2. Substitute d = f + 10 to g, which gives g = f + 41.\n3. Substitute f = c + 6 to g, which gives g = c + 47.\n4. Substitute c = n + 8 to g, which gives g = n + 55.\n5. Substitute n = i + 3 to g, which gives g = i + 58.\n6. Substitute i = 12 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 18865,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 8; a = h + 16; r = x + 11; i = 12; t = i + 12; h = r + 7; o = a + 6; g = e + 16; x = t + 5; e = d + 15; f = c + 6; n = i + 3; d = f + 10. Given that i = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 10", "x": "k + 9", "y": "x + 12", "z": "y + 10", "w": "z + 9", "m": "w + 13", "f": "e + 11", "t": "f + 7", "n": "t + 3", "j": "n + 5", "g": "j + 2", "h": "g + 9", "e": 10}, "premises": {"e": 10}, "target": "m"}, "answer": {"steps": [["w", "z + 9", "z + 22"], ["z", "y + 10", "y + 32"], ["y", "x + 12", "x + 44"], ["x", "k + 9", "k + 53"], ["k", "e + 10", "e + 63"], ["e", 10, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"e": 10}, "is_reverse": true}} | 18,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 3; k = e + 10; e = 10; m = w + 13; g = j + 2; y = x + 12; z = y + 10; t = f + 7; j = n + 5; x = k + 9; h = g + 9; f = e + 11; w = z + 9. If e = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 9 to m, which gives m = z + 22.\n2. Substitute z = y + 10 to m, which gives m = y + 32.\n3. Substitute y = x + 12 to m, which gives m = x + 44.\n4. Substitute x = k + 9 to m, which gives m = k + 53.\n5. Substitute k = e + 10 to m, which gives m = e + 63.\n6. Substitute e = 10 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 18866,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 3; k = e + 10; e = 10; m = w + 13; g = j + 2; y = x + 12; z = y + 10; t = f + 7; j = n + 5; x = k + 9; h = g + 9; f = e + 11; w = z + 9. If e = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 7", "r": "h + 18", "o": "r + 4", "m": "o + 6", "u": "m + 16", "l": "u + 19", "w": "s + 14", "q": "w + 19", "f": "q + 1", "e": "f + 1", "g": "e + 3", "x": "g + 11", "s": 15}, "premises": {"s": 15}, "target": "l"}, "answer": {"steps": [["u", "m + 16", "m + 35"], ["m", "o + 6", "o + 41"], ["o", "r + 4", "r + 45"], ["r", "h + 18", "h + 63"], ["h", "s + 7", "s + 70"], ["s", 15, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"s": 15}, "is_reverse": true}} | 18,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 1; f = q + 1; g = e + 3; o = r + 4; x = g + 11; u = m + 16; s = 15; q = w + 19; r = h + 18; w = s + 14; m = o + 6; l = u + 19; h = s + 7. If s = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 16 to l, which gives l = m + 35.\n2. Substitute m = o + 6 to l, which gives l = o + 41.\n3. Substitute o = r + 4 to l, which gives l = r + 45.\n4. Substitute r = h + 18 to l, which gives l = h + 63.\n5. Substitute h = s + 7 to l, which gives l = s + 70.\n6. Substitute s = 15 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 18867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 1; f = q + 1; g = e + 3; o = r + 4; x = g + 11; u = m + 16; s = 15; q = w + 19; r = h + 18; w = s + 14; m = o + 6; l = u + 19; h = s + 7. If s = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 11", "s": "x + 6", "p": "s + 17", "q": "p + 13", "b": "q + 10", "g": "b + 10", "y": "a + 7", "i": "y + 1", "n": "i + 9", "v": "n + 13", "t": "v + 17", "h": "t + 6", "a": 9}, "premises": {"a": 9}, "target": "g"}, "answer": {"steps": [["b", "q + 10", "q + 20"], ["q", "p + 13", "p + 33"], ["p", "s + 17", "s + 50"], ["s", "x + 6", "x + 56"], ["x", "a + 11", "a + 67"], ["a", 9, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"a": 9}, "is_reverse": true}} | 18,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 9; y = a + 7; x = a + 11; t = v + 17; n = i + 9; q = p + 13; h = t + 6; p = s + 17; v = n + 13; b = q + 10; s = x + 6; g = b + 10; i = y + 1. If a = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 10 to g, which gives g = q + 20.\n2. Substitute q = p + 13 to g, which gives g = p + 33.\n3. Substitute p = s + 17 to g, which gives g = s + 50.\n4. Substitute s = x + 6 to g, which gives g = x + 56.\n5. Substitute x = a + 11 to g, which gives g = a + 67.\n6. Substitute a = 9 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 18868,
"question": "Consider a system of variables where each variable is defined as follows: a = 9; y = a + 7; x = a + 11; t = v + 17; n = i + 9; q = p + 13; h = t + 6; p = s + 17; v = n + 13; b = q + 10; s = x + 6; g = b + 10; i = y + 1. If a = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 5", "a": "t + 1", "d": "a + 13", "q": "d + 13", "i": "q + 7", "s": "i + 18", "k": "j + 10", "f": "k + 12", "n": "f + 12", "e": "n + 20", "r": "e + 6", "y": "r + 18", "j": 17}, "premises": {"j": 17}, "target": "s"}, "answer": {"steps": [["i", "q + 7", "q + 25"], ["q", "d + 13", "d + 38"], ["d", "a + 13", "a + 51"], ["a", "t + 1", "t + 52"], ["t", "j + 5", "j + 57"], ["j", 17, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"j": 17}, "is_reverse": true}} | 18,869 | 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 = q + 7; y = r + 18; f = k + 12; t = j + 5; j = 17; a = t + 1; r = e + 6; n = f + 12; q = d + 13; k = j + 10; d = a + 13; s = i + 18; e = n + 20. If j = 17, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 7 to s, which gives s = q + 25.\n2. Substitute q = d + 13 to s, which gives s = d + 38.\n3. Substitute d = a + 13 to s, which gives s = a + 51.\n4. Substitute a = t + 1 to s, which gives s = t + 52.\n5. Substitute t = j + 5 to s, which gives s = j + 57.\n6. Substitute j = 17 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 18869,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 7; y = r + 18; f = k + 12; t = j + 5; j = 17; a = t + 1; r = e + 6; n = f + 12; q = d + 13; k = j + 10; d = a + 13; s = i + 18; e = n + 20. If j = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 14", "j": "r + 16", "u": "j + 1", "e": "u + 6", "i": "e + 5", "w": "i + 7", "l": "k + 13", "t": "l + 10", "y": "t + 7", "p": "y + 7", "d": "p + 1", "h": "d + 10", "k": 18}, "premises": {"k": 18}, "target": "w"}, "answer": {"steps": [["i", "e + 5", "e + 12"], ["e", "u + 6", "u + 18"], ["u", "j + 1", "j + 19"], ["j", "r + 16", "r + 35"], ["r", "k + 14", "k + 49"], ["k", 18, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"k": 18}, "is_reverse": true}} | 18,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 18; u = j + 1; w = i + 7; d = p + 1; e = u + 6; j = r + 16; i = e + 5; y = t + 7; l = k + 13; h = d + 10; p = y + 7; r = k + 14; t = l + 10. If k = 18, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 5 to w, which gives w = e + 12.\n2. Substitute e = u + 6 to w, which gives w = u + 18.\n3. Substitute u = j + 1 to w, which gives w = j + 19.\n4. Substitute j = r + 16 to w, which gives w = r + 35.\n5. Substitute r = k + 14 to w, which gives w = k + 49.\n6. Substitute k = 18 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 18870,
"question": "Consider a system of variables where each variable is defined as follows: k = 18; u = j + 1; w = i + 7; d = p + 1; e = u + 6; j = r + 16; i = e + 5; y = t + 7; l = k + 13; h = d + 10; p = y + 7; r = k + 14; t = l + 10. If k = 18, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 8", "h": "q + 8", "s": "h + 15", "n": "s + 12", "v": "n + 13", "f": "v + 4", "e": "z + 14", "r": "e + 16", "t": "r + 1", "o": "t + 18", "k": "o + 14", "b": "k + 17", "z": 17}, "premises": {"z": 17}, "target": "f"}, "answer": {"steps": [["v", "n + 13", "n + 17"], ["n", "s + 12", "s + 29"], ["s", "h + 15", "h + 44"], ["h", "q + 8", "q + 52"], ["q", "z + 8", "z + 60"], ["z", 17, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"z": 17}, "is_reverse": true}} | 18,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 17; s = h + 15; t = r + 1; h = q + 8; b = k + 17; f = v + 4; n = s + 12; v = n + 13; k = o + 14; e = z + 14; q = z + 8; o = t + 18; r = e + 16. If z = 17, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 13 to f, which gives f = n + 17.\n2. Substitute n = s + 12 to f, which gives f = s + 29.\n3. Substitute s = h + 15 to f, which gives f = h + 44.\n4. Substitute h = q + 8 to f, which gives f = q + 52.\n5. Substitute q = z + 8 to f, which gives f = z + 60.\n6. Substitute z = 17 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 18871,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 17; s = h + 15; t = r + 1; h = q + 8; b = k + 17; f = v + 4; n = s + 12; v = n + 13; k = o + 14; e = z + 14; q = z + 8; o = t + 18; r = e + 16. If z = 17, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 16", "v": "w + 9", "b": "v + 1", "k": "b + 13", "q": "k + 12", "y": "q + 12", "s": "i + 9", "f": "s + 1", "x": "f + 15", "g": "x + 16", "a": "g + 3", "d": "a + 13", "i": 16}, "premises": {"i": 16}, "target": "y"}, "answer": {"steps": [["q", "k + 12", "k + 24"], ["k", "b + 13", "b + 37"], ["b", "v + 1", "v + 38"], ["v", "w + 9", "w + 47"], ["w", "i + 16", "i + 63"], ["i", 16, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"i": 16}, "is_reverse": true}} | 18,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = a + 13; b = v + 1; k = b + 13; y = q + 12; x = f + 15; a = g + 3; w = i + 16; v = w + 9; g = x + 16; s = i + 9; q = k + 12; f = s + 1; i = 16. If i = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 12 to y, which gives y = k + 24.\n2. Substitute k = b + 13 to y, which gives y = b + 37.\n3. Substitute b = v + 1 to y, which gives y = v + 38.\n4. Substitute v = w + 9 to y, which gives y = w + 47.\n5. Substitute w = i + 16 to y, which gives y = i + 63.\n6. Substitute i = 16 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 18872,
"question": "Consider a system of variables where each variable is defined as follows: d = a + 13; b = v + 1; k = b + 13; y = q + 12; x = f + 15; a = g + 3; w = i + 16; v = w + 9; g = x + 16; s = i + 9; q = k + 12; f = s + 1; i = 16. If i = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 11", "o": "g + 20", "k": "o + 2", "z": "k + 10", "q": "z + 3", "y": "q + 9", "a": "t + 6", "w": "a + 10", "p": "w + 13", "h": "p + 2", "j": "h + 15", "c": "j + 10", "t": 14}, "premises": {"t": 14}, "target": "y"}, "answer": {"steps": [["q", "z + 3", "z + 12"], ["z", "k + 10", "k + 22"], ["k", "o + 2", "o + 24"], ["o", "g + 20", "g + 44"], ["g", "t + 11", "t + 55"], ["t", 14, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"t": 14}, "is_reverse": true}} | 18,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 10; o = g + 20; h = p + 2; y = q + 9; g = t + 11; a = t + 6; q = z + 3; j = h + 15; c = j + 10; k = o + 2; t = 14; p = w + 13; z = k + 10. If t = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 3 to y, which gives y = z + 12.\n2. Substitute z = k + 10 to y, which gives y = k + 22.\n3. Substitute k = o + 2 to y, which gives y = o + 24.\n4. Substitute o = g + 20 to y, which gives y = g + 44.\n5. Substitute g = t + 11 to y, which gives y = t + 55.\n6. Substitute t = 14 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 18873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 10; o = g + 20; h = p + 2; y = q + 9; g = t + 11; a = t + 6; q = z + 3; j = h + 15; c = j + 10; k = o + 2; t = 14; p = w + 13; z = k + 10. If t = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 13", "x": "e + 8", "c": "x + 7", "p": "c + 19", "m": "p + 1", "h": "m + 5", "z": "d + 13", "n": "z + 9", "g": "n + 2", "w": "g + 3", "t": "w + 18", "f": "t + 5", "d": 19}, "premises": {"d": 19}, "target": "h"}, "answer": {"steps": [["m", "p + 1", "p + 6"], ["p", "c + 19", "c + 25"], ["c", "x + 7", "x + 32"], ["x", "e + 8", "e + 40"], ["e", "d + 13", "d + 53"], ["d", 19, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"d": 19}, "is_reverse": true}} | 18,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 19; e = d + 13; w = g + 3; f = t + 5; p = c + 19; x = e + 8; z = d + 13; n = z + 9; g = n + 2; m = p + 1; h = m + 5; t = w + 18; c = x + 7. If d = 19, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 1 to h, which gives h = p + 6.\n2. Substitute p = c + 19 to h, which gives h = c + 25.\n3. Substitute c = x + 7 to h, which gives h = x + 32.\n4. Substitute x = e + 8 to h, which gives h = e + 40.\n5. Substitute e = d + 13 to h, which gives h = d + 53.\n6. Substitute d = 19 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 18874,
"question": "Consider a system of variables where each variable is defined as follows: d = 19; e = d + 13; w = g + 3; f = t + 5; p = c + 19; x = e + 8; z = d + 13; n = z + 9; g = n + 2; m = p + 1; h = m + 5; t = w + 18; c = x + 7. If d = 19, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 5", "h": "z + 19", "s": "h + 14", "d": "s + 7", "u": "d + 10", "y": "u + 4", "e": "g + 11", "k": "e + 3", "n": "k + 13", "t": "n + 8", "a": "t + 11", "l": "a + 3", "g": 2}, "premises": {"g": 2}, "target": "y"}, "answer": {"steps": [["u", "d + 10", "d + 14"], ["d", "s + 7", "s + 21"], ["s", "h + 14", "h + 35"], ["h", "z + 19", "z + 54"], ["z", "g + 5", "g + 59"], ["g", 2, "61"]], "target_var_name": "y", "target_value": 61, "value_dict": {"g": 2}, "is_reverse": true}} | 18,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 3; g = 2; n = k + 13; t = n + 8; l = a + 3; e = g + 11; y = u + 4; h = z + 19; a = t + 11; s = h + 14; z = g + 5; d = s + 7; u = d + 10. If g = 2, what is the resulting 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 u = d + 10 to y, which gives y = d + 14.\n2. Substitute d = s + 7 to y, which gives y = s + 21.\n3. Substitute s = h + 14 to y, which gives y = h + 35.\n4. Substitute h = z + 19 to y, which gives y = z + 54.\n5. Substitute z = g + 5 to y, which gives y = g + 59.\n6. Substitute g = 2 to y, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 18875,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 3; g = 2; n = k + 13; t = n + 8; l = a + 3; e = g + 11; y = u + 4; h = z + 19; a = t + 11; s = h + 14; z = g + 5; d = s + 7; u = d + 10. If g = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 14", "q": "m + 3", "i": "q + 2", "w": "i + 11", "r": "w + 1", "e": "r + 16", "l": "n + 14", "f": "l + 2", "k": "f + 10", "g": "k + 19", "c": "g + 17", "h": "c + 14", "n": 15}, "premises": {"n": 15}, "target": "e"}, "answer": {"steps": [["r", "w + 1", "w + 17"], ["w", "i + 11", "i + 28"], ["i", "q + 2", "q + 30"], ["q", "m + 3", "m + 33"], ["m", "n + 14", "n + 47"], ["n", 15, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"n": 15}, "is_reverse": true}} | 18,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = r + 16; n = 15; f = l + 2; c = g + 17; i = q + 2; l = n + 14; r = w + 1; w = i + 11; g = k + 19; m = n + 14; h = c + 14; k = f + 10; q = m + 3. Given that n = 15, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 1 to e, which gives e = w + 17.\n2. Substitute w = i + 11 to e, which gives e = i + 28.\n3. Substitute i = q + 2 to e, which gives e = q + 30.\n4. Substitute q = m + 3 to e, which gives e = m + 33.\n5. Substitute m = n + 14 to e, which gives e = n + 47.\n6. Substitute n = 15 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 18876,
"question": "Suppose a collection of variables is related by the following definitions: e = r + 16; n = 15; f = l + 2; c = g + 17; i = q + 2; l = n + 14; r = w + 1; w = i + 11; g = k + 19; m = n + 14; h = c + 14; k = f + 10; q = m + 3. Given that n = 15, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 3", "w": "n + 8", "i": "w + 12", "d": "i + 18", "f": "d + 20", "q": "f + 18", "t": "y + 18", "s": "t + 4", "u": "s + 19", "p": "u + 6", "h": "p + 18", "j": "h + 18", "y": 7}, "premises": {"y": 7}, "target": "q"}, "answer": {"steps": [["f", "d + 20", "d + 38"], ["d", "i + 18", "i + 56"], ["i", "w + 12", "w + 68"], ["w", "n + 8", "n + 76"], ["n", "y + 3", "y + 79"], ["y", 7, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"y": 7}, "is_reverse": true}} | 18,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 8; d = i + 18; y = 7; f = d + 20; u = s + 19; h = p + 18; j = h + 18; i = w + 12; n = y + 3; q = f + 18; s = t + 4; t = y + 18; p = u + 6. Given that y = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 20 to q, which gives q = d + 38.\n2. Substitute d = i + 18 to q, which gives q = i + 56.\n3. Substitute i = w + 12 to q, which gives q = w + 68.\n4. Substitute w = n + 8 to q, which gives q = n + 76.\n5. Substitute n = y + 3 to q, which gives q = y + 79.\n6. Substitute y = 7 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 18877,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 8; d = i + 18; y = 7; f = d + 20; u = s + 19; h = p + 18; j = h + 18; i = w + 12; n = y + 3; q = f + 18; s = t + 4; t = y + 18; p = u + 6. Given that y = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 15", "z": "y + 9", "e": "z + 2", "a": "e + 3", "l": "a + 20", "n": "l + 13", "i": "k + 15", "m": "i + 7", "u": "m + 20", "r": "u + 10", "h": "r + 18", "s": "h + 9", "k": 18}, "premises": {"k": 18}, "target": "n"}, "answer": {"steps": [["l", "a + 20", "a + 33"], ["a", "e + 3", "e + 36"], ["e", "z + 2", "z + 38"], ["z", "y + 9", "y + 47"], ["y", "k + 15", "k + 62"], ["k", 18, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"k": 18}, "is_reverse": true}} | 18,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 18; a = e + 3; e = z + 2; u = m + 20; s = h + 9; l = a + 20; r = u + 10; i = k + 15; m = i + 7; h = r + 18; n = l + 13; y = k + 15; z = y + 9. Given that k = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 20 to n, which gives n = a + 33.\n2. Substitute a = e + 3 to n, which gives n = e + 36.\n3. Substitute e = z + 2 to n, which gives n = z + 38.\n4. Substitute z = y + 9 to n, which gives n = y + 47.\n5. Substitute y = k + 15 to n, which gives n = k + 62.\n6. Substitute k = 18 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 18878,
"question": "Suppose a collection of variables is related by the following definitions: k = 18; a = e + 3; e = z + 2; u = m + 20; s = h + 9; l = a + 20; r = u + 10; i = k + 15; m = i + 7; h = r + 18; n = l + 13; y = k + 15; z = y + 9. Given that k = 18, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 15", "m": "j + 19", "p": "m + 7", "b": "p + 9", "g": "b + 12", "r": "g + 5", "o": "z + 18", "u": "o + 6", "n": "u + 11", "f": "n + 7", "l": "f + 16", "s": "l + 4", "z": 19}, "premises": {"z": 19}, "target": "r"}, "answer": {"steps": [["g", "b + 12", "b + 17"], ["b", "p + 9", "p + 26"], ["p", "m + 7", "m + 33"], ["m", "j + 19", "j + 52"], ["j", "z + 15", "z + 67"], ["z", 19, "86"]], "target_var_name": "r", "target_value": 86, "value_dict": {"z": 19}, "is_reverse": true}} | 18,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = g + 5; p = m + 7; o = z + 18; g = b + 12; b = p + 9; j = z + 15; u = o + 6; f = n + 7; m = j + 19; l = f + 16; n = u + 11; z = 19; s = l + 4. If z = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 12 to r, which gives r = b + 17.\n2. Substitute b = p + 9 to r, which gives r = p + 26.\n3. Substitute p = m + 7 to r, which gives r = m + 33.\n4. Substitute m = j + 19 to r, which gives r = j + 52.\n5. Substitute j = z + 15 to r, which gives r = z + 67.\n6. Substitute z = 19 to r, which gives r = 86.\n\nThus, the final answer is r = \\boxed{86}.",
"index": 18879,
"question": "Consider a system of variables where each variable is defined as follows: r = g + 5; p = m + 7; o = z + 18; g = b + 12; b = p + 9; j = z + 15; u = o + 6; f = n + 7; m = j + 19; l = f + 16; n = u + 11; z = 19; s = l + 4. If z = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 6", "y": "b + 9", "o": "y + 6", "q": "o + 5", "v": "q + 6", "w": "v + 12", "k": "h + 8", "a": "k + 12", "l": "a + 14", "t": "l + 11", "m": "t + 12", "f": "m + 2", "h": 19}, "premises": {"h": 19}, "target": "w"}, "answer": {"steps": [["v", "q + 6", "q + 18"], ["q", "o + 5", "o + 23"], ["o", "y + 6", "y + 29"], ["y", "b + 9", "b + 38"], ["b", "h + 6", "h + 44"], ["h", 19, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"h": 19}, "is_reverse": true}} | 18,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 12; o = y + 6; l = a + 14; f = m + 2; y = b + 9; k = h + 8; w = v + 12; h = 19; v = q + 6; q = o + 5; a = k + 12; t = l + 11; b = h + 6. If h = 19, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 6 to w, which gives w = q + 18.\n2. Substitute q = o + 5 to w, which gives w = o + 23.\n3. Substitute o = y + 6 to w, which gives w = y + 29.\n4. Substitute y = b + 9 to w, which gives w = b + 38.\n5. Substitute b = h + 6 to w, which gives w = h + 44.\n6. Substitute h = 19 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 18880,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 12; o = y + 6; l = a + 14; f = m + 2; y = b + 9; k = h + 8; w = v + 12; h = 19; v = q + 6; q = o + 5; a = k + 12; t = l + 11; b = h + 6. If h = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 13", "b": "g + 11", "w": "b + 5", "z": "w + 3", "e": "z + 6", "r": "e + 9", "a": "n + 10", "x": "a + 18", "i": "x + 2", "t": "i + 6", "c": "t + 20", "f": "c + 4", "n": 15}, "premises": {"n": 15}, "target": "r"}, "answer": {"steps": [["e", "z + 6", "z + 15"], ["z", "w + 3", "w + 18"], ["w", "b + 5", "b + 23"], ["b", "g + 11", "g + 34"], ["g", "n + 13", "n + 47"], ["n", 15, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"n": 15}, "is_reverse": true}} | 18,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 9; i = x + 2; t = i + 6; w = b + 5; c = t + 20; g = n + 13; b = g + 11; x = a + 18; n = 15; e = z + 6; a = n + 10; z = w + 3; f = c + 4. Given that n = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 6 to r, which gives r = z + 15.\n2. Substitute z = w + 3 to r, which gives r = w + 18.\n3. Substitute w = b + 5 to r, which gives r = b + 23.\n4. Substitute b = g + 11 to r, which gives r = g + 34.\n5. Substitute g = n + 13 to r, which gives r = n + 47.\n6. Substitute n = 15 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 18881,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 9; i = x + 2; t = i + 6; w = b + 5; c = t + 20; g = n + 13; b = g + 11; x = a + 18; n = 15; e = z + 6; a = n + 10; z = w + 3; f = c + 4. Given that n = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 17", "u": "n + 20", "i": "u + 3", "j": "i + 20", "b": "j + 3", "y": "b + 18", "k": "o + 14", "x": "k + 16", "a": "x + 18", "l": "a + 11", "v": "l + 19", "q": "v + 13", "o": 20}, "premises": {"o": 20}, "target": "y"}, "answer": {"steps": [["b", "j + 3", "j + 21"], ["j", "i + 20", "i + 41"], ["i", "u + 3", "u + 44"], ["u", "n + 20", "n + 64"], ["n", "o + 17", "o + 81"], ["o", 20, "101"]], "target_var_name": "y", "target_value": 101, "value_dict": {"o": 20}, "is_reverse": true}} | 18,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 19; i = u + 3; o = 20; n = o + 17; b = j + 3; k = o + 14; q = v + 13; l = a + 11; j = i + 20; x = k + 16; y = b + 18; a = x + 18; u = n + 20. If o = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 3 to y, which gives y = j + 21.\n2. Substitute j = i + 20 to y, which gives y = i + 41.\n3. Substitute i = u + 3 to y, which gives y = u + 44.\n4. Substitute u = n + 20 to y, which gives y = n + 64.\n5. Substitute n = o + 17 to y, which gives y = o + 81.\n6. Substitute o = 20 to y, which gives y = 101.\n\nThus, the final answer is y = \\boxed{101}.",
"index": 18882,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 19; i = u + 3; o = 20; n = o + 17; b = j + 3; k = o + 14; q = v + 13; l = a + 11; j = i + 20; x = k + 16; y = b + 18; a = x + 18; u = n + 20. If o = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 14", "u": "t + 1", "x": "u + 7", "s": "x + 12", "v": "s + 1", "f": "v + 11", "w": "g + 12", "k": "w + 2", "p": "k + 18", "h": "p + 12", "q": "h + 8", "r": "q + 4", "g": 10}, "premises": {"g": 10}, "target": "f"}, "answer": {"steps": [["v", "s + 1", "s + 12"], ["s", "x + 12", "x + 24"], ["x", "u + 7", "u + 31"], ["u", "t + 1", "t + 32"], ["t", "g + 14", "g + 46"], ["g", 10, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"g": 10}, "is_reverse": true}} | 18,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 14; s = x + 12; h = p + 12; p = k + 18; k = w + 2; g = 10; q = h + 8; v = s + 1; r = q + 4; f = v + 11; u = t + 1; x = u + 7; w = g + 12. If g = 10, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 1 to f, which gives f = s + 12.\n2. Substitute s = x + 12 to f, which gives f = x + 24.\n3. Substitute x = u + 7 to f, which gives f = u + 31.\n4. Substitute u = t + 1 to f, which gives f = t + 32.\n5. Substitute t = g + 14 to f, which gives f = g + 46.\n6. Substitute g = 10 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 18883,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 14; s = x + 12; h = p + 12; p = k + 18; k = w + 2; g = 10; q = h + 8; v = s + 1; r = q + 4; f = v + 11; u = t + 1; x = u + 7; w = g + 12. If g = 10, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 17", "n": "l + 3", "u": "n + 2", "r": "u + 20", "z": "r + 14", "i": "z + 2", "a": "e + 15", "x": "a + 11", "h": "x + 12", "f": "h + 12", "q": "f + 19", "b": "q + 10", "e": 7}, "premises": {"e": 7}, "target": "i"}, "answer": {"steps": [["z", "r + 14", "r + 16"], ["r", "u + 20", "u + 36"], ["u", "n + 2", "n + 38"], ["n", "l + 3", "l + 41"], ["l", "e + 17", "e + 58"], ["e", 7, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"e": 7}, "is_reverse": true}} | 18,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = x + 12; a = e + 15; z = r + 14; i = z + 2; f = h + 12; u = n + 2; x = a + 11; l = e + 17; n = l + 3; r = u + 20; e = 7; q = f + 19; b = q + 10. If e = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 14 to i, which gives i = r + 16.\n2. Substitute r = u + 20 to i, which gives i = u + 36.\n3. Substitute u = n + 2 to i, which gives i = n + 38.\n4. Substitute n = l + 3 to i, which gives i = l + 41.\n5. Substitute l = e + 17 to i, which gives i = e + 58.\n6. Substitute e = 7 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 18884,
"question": "Consider a system of variables where each variable is defined as follows: h = x + 12; a = e + 15; z = r + 14; i = z + 2; f = h + 12; u = n + 2; x = a + 11; l = e + 17; n = l + 3; r = u + 20; e = 7; q = f + 19; b = q + 10. If e = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 9", "t": "o + 1", "v": "t + 5", "x": "v + 8", "s": "x + 1", "z": "s + 5", "p": "e + 6", "w": "p + 20", "n": "w + 14", "y": "n + 10", "l": "y + 6", "j": "l + 5", "e": 5}, "premises": {"e": 5}, "target": "z"}, "answer": {"steps": [["s", "x + 1", "x + 6"], ["x", "v + 8", "v + 14"], ["v", "t + 5", "t + 19"], ["t", "o + 1", "o + 20"], ["o", "e + 9", "e + 29"], ["e", 5, "34"]], "target_var_name": "z", "target_value": 34, "value_dict": {"e": 5}, "is_reverse": true}} | 18,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 14; p = e + 6; v = t + 5; s = x + 1; o = e + 9; y = n + 10; l = y + 6; t = o + 1; j = l + 5; w = p + 20; z = s + 5; x = v + 8; e = 5. If e = 5, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 1 to z, which gives z = x + 6.\n2. Substitute x = v + 8 to z, which gives z = v + 14.\n3. Substitute v = t + 5 to z, which gives z = t + 19.\n4. Substitute t = o + 1 to z, which gives z = o + 20.\n5. Substitute o = e + 9 to z, which gives z = e + 29.\n6. Substitute e = 5 to z, which gives z = 34.\n\nThus, the final answer is z = \\boxed{34}.",
"index": 18885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 14; p = e + 6; v = t + 5; s = x + 1; o = e + 9; y = n + 10; l = y + 6; t = o + 1; j = l + 5; w = p + 20; z = s + 5; x = v + 8; e = 5. If e = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 18", "c": "b + 14", "u": "c + 14", "l": "u + 5", "y": "l + 3", "x": "y + 19", "o": "d + 20", "n": "o + 7", "q": "n + 10", "t": "q + 16", "h": "t + 9", "f": "h + 3", "d": 5}, "premises": {"d": 5}, "target": "x"}, "answer": {"steps": [["y", "l + 3", "l + 22"], ["l", "u + 5", "u + 27"], ["u", "c + 14", "c + 41"], ["c", "b + 14", "b + 55"], ["b", "d + 18", "d + 73"], ["d", 5, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"d": 5}, "is_reverse": true}} | 18,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 20; u = c + 14; d = 5; h = t + 9; f = h + 3; y = l + 3; l = u + 5; q = n + 10; b = d + 18; c = b + 14; n = o + 7; t = q + 16; x = y + 19. If d = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 3 to x, which gives x = l + 22.\n2. Substitute l = u + 5 to x, which gives x = u + 27.\n3. Substitute u = c + 14 to x, which gives x = c + 41.\n4. Substitute c = b + 14 to x, which gives x = b + 55.\n5. Substitute b = d + 18 to x, which gives x = d + 73.\n6. Substitute d = 5 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 18886,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 20; u = c + 14; d = 5; h = t + 9; f = h + 3; y = l + 3; l = u + 5; q = n + 10; b = d + 18; c = b + 14; n = o + 7; t = q + 16; x = y + 19. If d = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 3", "f": "j + 7", "m": "f + 16", "x": "m + 11", "b": "x + 2", "y": "b + 1", "u": "e + 16", "r": "u + 2", "t": "r + 12", "g": "t + 13", "n": "g + 11", "k": "n + 2", "e": 1}, "premises": {"e": 1}, "target": "y"}, "answer": {"steps": [["b", "x + 2", "x + 3"], ["x", "m + 11", "m + 14"], ["m", "f + 16", "f + 30"], ["f", "j + 7", "j + 37"], ["j", "e + 3", "e + 40"], ["e", 1, "41"]], "target_var_name": "y", "target_value": 41, "value_dict": {"e": 1}, "is_reverse": true}} | 18,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 13; t = r + 12; b = x + 2; r = u + 2; n = g + 11; u = e + 16; y = b + 1; j = e + 3; f = j + 7; k = n + 2; x = m + 11; e = 1; m = f + 16. If e = 1, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 2 to y, which gives y = x + 3.\n2. Substitute x = m + 11 to y, which gives y = m + 14.\n3. Substitute m = f + 16 to y, which gives y = f + 30.\n4. Substitute f = j + 7 to y, which gives y = j + 37.\n5. Substitute j = e + 3 to y, which gives y = e + 40.\n6. Substitute e = 1 to y, which gives y = 41.\n\nThus, the final answer is y = \\boxed{41}.",
"index": 18887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = t + 13; t = r + 12; b = x + 2; r = u + 2; n = g + 11; u = e + 16; y = b + 1; j = e + 3; f = j + 7; k = n + 2; x = m + 11; e = 1; m = f + 16. If e = 1, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 3", "n": "l + 7", "i": "n + 19", "d": "i + 18", "m": "d + 11", "u": "m + 3", "k": "h + 17", "v": "k + 1", "b": "v + 16", "q": "b + 3", "p": "q + 12", "z": "p + 17", "h": 20}, "premises": {"h": 20}, "target": "u"}, "answer": {"steps": [["m", "d + 11", "d + 14"], ["d", "i + 18", "i + 32"], ["i", "n + 19", "n + 51"], ["n", "l + 7", "l + 58"], ["l", "h + 3", "h + 61"], ["h", 20, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"h": 20}, "is_reverse": true}} | 18,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 11; l = h + 3; b = v + 16; d = i + 18; h = 20; z = p + 17; i = n + 19; v = k + 1; k = h + 17; u = m + 3; q = b + 3; p = q + 12; n = l + 7. Given that h = 20, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 11 to u, which gives u = d + 14.\n2. Substitute d = i + 18 to u, which gives u = i + 32.\n3. Substitute i = n + 19 to u, which gives u = n + 51.\n4. Substitute n = l + 7 to u, which gives u = l + 58.\n5. Substitute l = h + 3 to u, which gives u = h + 61.\n6. Substitute h = 20 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 18888,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 11; l = h + 3; b = v + 16; d = i + 18; h = 20; z = p + 17; i = n + 19; v = k + 1; k = h + 17; u = m + 3; q = b + 3; p = q + 12; n = l + 7. Given that h = 20, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 9", "r": "q + 5", "x": "r + 1", "s": "x + 13", "t": "s + 10", "p": "t + 13", "c": "h + 14", "l": "c + 19", "u": "l + 5", "e": "u + 16", "v": "e + 1", "w": "v + 16", "h": 16}, "premises": {"h": 16}, "target": "p"}, "answer": {"steps": [["t", "s + 10", "s + 23"], ["s", "x + 13", "x + 36"], ["x", "r + 1", "r + 37"], ["r", "q + 5", "q + 42"], ["q", "h + 9", "h + 51"], ["h", 16, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"h": 16}, "is_reverse": true}} | 18,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 1; w = v + 16; c = h + 14; r = q + 5; s = x + 13; p = t + 13; h = 16; u = l + 5; l = c + 19; q = h + 9; e = u + 16; v = e + 1; t = s + 10. If h = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 10 to p, which gives p = s + 23.\n2. Substitute s = x + 13 to p, which gives p = x + 36.\n3. Substitute x = r + 1 to p, which gives p = r + 37.\n4. Substitute r = q + 5 to p, which gives p = q + 42.\n5. Substitute q = h + 9 to p, which gives p = h + 51.\n6. Substitute h = 16 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 18889,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 1; w = v + 16; c = h + 14; r = q + 5; s = x + 13; p = t + 13; h = 16; u = l + 5; l = c + 19; q = h + 9; e = u + 16; v = e + 1; t = s + 10. If h = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 8", "d": "z + 4", "f": "d + 14", "b": "f + 16", "m": "b + 12", "x": "m + 9", "l": "r + 1", "y": "l + 12", "g": "y + 4", "u": "g + 5", "h": "u + 11", "o": "h + 9", "r": 9}, "premises": {"r": 9}, "target": "x"}, "answer": {"steps": [["m", "b + 12", "b + 21"], ["b", "f + 16", "f + 37"], ["f", "d + 14", "d + 51"], ["d", "z + 4", "z + 55"], ["z", "r + 8", "r + 63"], ["r", 9, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"r": 9}, "is_reverse": true}} | 18,890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 12; z = r + 8; g = y + 4; o = h + 9; u = g + 5; l = r + 1; f = d + 14; d = z + 4; x = m + 9; h = u + 11; b = f + 16; r = 9; m = b + 12. Given that r = 9, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 12 to x, which gives x = b + 21.\n2. Substitute b = f + 16 to x, which gives x = f + 37.\n3. Substitute f = d + 14 to x, which gives x = d + 51.\n4. Substitute d = z + 4 to x, which gives x = z + 55.\n5. Substitute z = r + 8 to x, which gives x = r + 63.\n6. Substitute r = 9 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 18890,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 12; z = r + 8; g = y + 4; o = h + 9; u = g + 5; l = r + 1; f = d + 14; d = z + 4; x = m + 9; h = u + 11; b = f + 16; r = 9; m = b + 12. Given that r = 9, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 9", "g": "z + 12", "c": "g + 6", "s": "c + 3", "d": "s + 8", "j": "d + 14", "o": "a + 8", "b": "o + 7", "f": "b + 1", "e": "f + 17", "l": "e + 10", "p": "l + 9", "a": 7}, "premises": {"a": 7}, "target": "j"}, "answer": {"steps": [["d", "s + 8", "s + 22"], ["s", "c + 3", "c + 25"], ["c", "g + 6", "g + 31"], ["g", "z + 12", "z + 43"], ["z", "a + 9", "a + 52"], ["a", 7, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"a": 7}, "is_reverse": true}} | 18,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 8; l = e + 10; s = c + 3; c = g + 6; f = b + 1; a = 7; d = s + 8; p = l + 9; e = f + 17; j = d + 14; b = o + 7; g = z + 12; z = a + 9. If a = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 8 to j, which gives j = s + 22.\n2. Substitute s = c + 3 to j, which gives j = c + 25.\n3. Substitute c = g + 6 to j, which gives j = g + 31.\n4. Substitute g = z + 12 to j, which gives j = z + 43.\n5. Substitute z = a + 9 to j, which gives j = a + 52.\n6. Substitute a = 7 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 18891,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 8; l = e + 10; s = c + 3; c = g + 6; f = b + 1; a = 7; d = s + 8; p = l + 9; e = f + 17; j = d + 14; b = o + 7; g = z + 12; z = a + 9. If a = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 3", "o": "a + 1", "u": "o + 9", "k": "u + 16", "n": "k + 16", "g": "n + 14", "x": "r + 9", "c": "x + 19", "s": "c + 4", "z": "s + 3", "p": "z + 7", "f": "p + 15", "r": 2}, "premises": {"r": 2}, "target": "g"}, "answer": {"steps": [["n", "k + 16", "k + 30"], ["k", "u + 16", "u + 46"], ["u", "o + 9", "o + 55"], ["o", "a + 1", "a + 56"], ["a", "r + 3", "r + 59"], ["r", 2, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"r": 2}, "is_reverse": true}} | 18,892 | 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 = k + 16; s = c + 4; g = n + 14; z = s + 3; o = a + 1; r = 2; a = r + 3; u = o + 9; x = r + 9; f = p + 15; k = u + 16; p = z + 7; c = x + 19. If r = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 16 to g, which gives g = k + 30.\n2. Substitute k = u + 16 to g, which gives g = u + 46.\n3. Substitute u = o + 9 to g, which gives g = o + 55.\n4. Substitute o = a + 1 to g, which gives g = a + 56.\n5. Substitute a = r + 3 to g, which gives g = r + 59.\n6. Substitute r = 2 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 18892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 16; s = c + 4; g = n + 14; z = s + 3; o = a + 1; r = 2; a = r + 3; u = o + 9; x = r + 9; f = p + 15; k = u + 16; p = z + 7; c = x + 19. If r = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 20", "b": "d + 5", "g": "b + 18", "i": "g + 6", "k": "i + 8", "v": "k + 1", "r": "a + 18", "m": "r + 10", "o": "m + 12", "y": "o + 16", "q": "y + 14", "e": "q + 9", "a": 16}, "premises": {"a": 16}, "target": "v"}, "answer": {"steps": [["k", "i + 8", "i + 9"], ["i", "g + 6", "g + 15"], ["g", "b + 18", "b + 33"], ["b", "d + 5", "d + 38"], ["d", "a + 20", "a + 58"], ["a", 16, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"a": 16}, "is_reverse": true}} | 18,893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 8; y = o + 16; m = r + 10; g = b + 18; b = d + 5; q = y + 14; v = k + 1; i = g + 6; e = q + 9; o = m + 12; r = a + 18; d = a + 20; a = 16. If a = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 8 to v, which gives v = i + 9.\n2. Substitute i = g + 6 to v, which gives v = g + 15.\n3. Substitute g = b + 18 to v, which gives v = b + 33.\n4. Substitute b = d + 5 to v, which gives v = d + 38.\n5. Substitute d = a + 20 to v, which gives v = a + 58.\n6. Substitute a = 16 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 18893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 8; y = o + 16; m = r + 10; g = b + 18; b = d + 5; q = y + 14; v = k + 1; i = g + 6; e = q + 9; o = m + 12; r = a + 18; d = a + 20; a = 16. If a = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 14", "p": "v + 1", "k": "p + 10", "z": "k + 18", "x": "z + 1", "q": "x + 3", "b": "i + 8", "n": "b + 7", "c": "n + 18", "e": "c + 12", "a": "e + 1", "j": "a + 18", "i": 1}, "premises": {"i": 1}, "target": "q"}, "answer": {"steps": [["x", "z + 1", "z + 4"], ["z", "k + 18", "k + 22"], ["k", "p + 10", "p + 32"], ["p", "v + 1", "v + 33"], ["v", "i + 14", "i + 47"], ["i", 1, "48"]], "target_var_name": "q", "target_value": 48, "value_dict": {"i": 1}, "is_reverse": true}} | 18,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 1; j = a + 18; k = p + 10; q = x + 3; c = n + 18; b = i + 8; n = b + 7; z = k + 18; a = e + 1; e = c + 12; p = v + 1; i = 1; v = i + 14. If i = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 1 to q, which gives q = z + 4.\n2. Substitute z = k + 18 to q, which gives q = k + 22.\n3. Substitute k = p + 10 to q, which gives q = p + 32.\n4. Substitute p = v + 1 to q, which gives q = v + 33.\n5. Substitute v = i + 14 to q, which gives q = i + 47.\n6. Substitute i = 1 to q, which gives q = 48.\n\nThus, the final answer is q = \\boxed{48}.",
"index": 18894,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 1; j = a + 18; k = p + 10; q = x + 3; c = n + 18; b = i + 8; n = b + 7; z = k + 18; a = e + 1; e = c + 12; p = v + 1; i = 1; v = i + 14. If i = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 6", "j": "l + 13", "c": "j + 11", "a": "c + 8", "h": "a + 19", "p": "h + 12", "w": "b + 2", "m": "w + 19", "z": "m + 16", "k": "z + 2", "v": "k + 9", "d": "v + 13", "b": 19}, "premises": {"b": 19}, "target": "p"}, "answer": {"steps": [["h", "a + 19", "a + 31"], ["a", "c + 8", "c + 39"], ["c", "j + 11", "j + 50"], ["j", "l + 13", "l + 63"], ["l", "b + 6", "b + 69"], ["b", 19, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"b": 19}, "is_reverse": true}} | 18,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 8; b = 19; p = h + 12; j = l + 13; k = z + 2; w = b + 2; z = m + 16; v = k + 9; d = v + 13; h = a + 19; l = b + 6; c = j + 11; m = w + 19. If b = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 19 to p, which gives p = a + 31.\n2. Substitute a = c + 8 to p, which gives p = c + 39.\n3. Substitute c = j + 11 to p, which gives p = j + 50.\n4. Substitute j = l + 13 to p, which gives p = l + 63.\n5. Substitute l = b + 6 to p, which gives p = b + 69.\n6. Substitute b = 19 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 18895,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 8; b = 19; p = h + 12; j = l + 13; k = z + 2; w = b + 2; z = m + 16; v = k + 9; d = v + 13; h = a + 19; l = b + 6; c = j + 11; m = w + 19. If b = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 11", "k": "x + 1", "u": "k + 19", "r": "u + 10", "j": "r + 16", "d": "j + 6", "n": "a + 5", "t": "n + 13", "i": "t + 6", "y": "i + 13", "o": "y + 3", "m": "o + 16", "a": 7}, "premises": {"a": 7}, "target": "d"}, "answer": {"steps": [["j", "r + 16", "r + 22"], ["r", "u + 10", "u + 32"], ["u", "k + 19", "k + 51"], ["k", "x + 1", "x + 52"], ["x", "a + 11", "a + 63"], ["a", 7, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"a": 7}, "is_reverse": true}} | 18,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 13; t = n + 13; j = r + 16; x = a + 11; i = t + 6; n = a + 5; d = j + 6; o = y + 3; a = 7; m = o + 16; r = u + 10; k = x + 1; u = k + 19. If a = 7, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 16 to d, which gives d = r + 22.\n2. Substitute r = u + 10 to d, which gives d = u + 32.\n3. Substitute u = k + 19 to d, which gives d = k + 51.\n4. Substitute k = x + 1 to d, which gives d = x + 52.\n5. Substitute x = a + 11 to d, which gives d = a + 63.\n6. Substitute a = 7 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 18896,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 13; t = n + 13; j = r + 16; x = a + 11; i = t + 6; n = a + 5; d = j + 6; o = y + 3; a = 7; m = o + 16; r = u + 10; k = x + 1; u = k + 19. If a = 7, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 10", "o": "x + 5", "a": "o + 15", "n": "a + 14", "m": "n + 12", "s": "m + 15", "v": "y + 10", "r": "v + 19", "f": "r + 3", "i": "f + 2", "g": "i + 19", "q": "g + 12", "y": 18}, "premises": {"y": 18}, "target": "s"}, "answer": {"steps": [["m", "n + 12", "n + 27"], ["n", "a + 14", "a + 41"], ["a", "o + 15", "o + 56"], ["o", "x + 5", "x + 61"], ["x", "y + 10", "y + 71"], ["y", 18, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"y": 18}, "is_reverse": true}} | 18,897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 19; i = f + 2; n = a + 14; s = m + 15; m = n + 12; a = o + 15; v = y + 10; o = x + 5; q = g + 12; x = y + 10; r = v + 19; y = 18; f = r + 3. Given that y = 18, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 12 to s, which gives s = n + 27.\n2. Substitute n = a + 14 to s, which gives s = a + 41.\n3. Substitute a = o + 15 to s, which gives s = o + 56.\n4. Substitute o = x + 5 to s, which gives s = x + 61.\n5. Substitute x = y + 10 to s, which gives s = y + 71.\n6. Substitute y = 18 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 18897,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 19; i = f + 2; n = a + 14; s = m + 15; m = n + 12; a = o + 15; v = y + 10; o = x + 5; q = g + 12; x = y + 10; r = v + 19; y = 18; f = r + 3. Given that y = 18, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 16", "z": "x + 3", "v": "z + 4", "l": "v + 1", "c": "l + 11", "f": "c + 20", "g": "n + 7", "s": "g + 18", "a": "s + 4", "o": "a + 1", "w": "o + 4", "d": "w + 1", "n": 11}, "premises": {"n": 11}, "target": "f"}, "answer": {"steps": [["c", "l + 11", "l + 31"], ["l", "v + 1", "v + 32"], ["v", "z + 4", "z + 36"], ["z", "x + 3", "x + 39"], ["x", "n + 16", "n + 55"], ["n", 11, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"n": 11}, "is_reverse": true}} | 18,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 11; l = v + 1; o = a + 1; a = s + 4; s = g + 18; c = l + 11; w = o + 4; f = c + 20; d = w + 1; x = n + 16; z = x + 3; g = n + 7; v = z + 4. If n = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 11 to f, which gives f = l + 31.\n2. Substitute l = v + 1 to f, which gives f = v + 32.\n3. Substitute v = z + 4 to f, which gives f = z + 36.\n4. Substitute z = x + 3 to f, which gives f = x + 39.\n5. Substitute x = n + 16 to f, which gives f = n + 55.\n6. Substitute n = 11 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 18898,
"question": "Consider a system of variables where each variable is defined as follows: n = 11; l = v + 1; o = a + 1; a = s + 4; s = g + 18; c = l + 11; w = o + 4; f = c + 20; d = w + 1; x = n + 16; z = x + 3; g = n + 7; v = z + 4. If n = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 3", "o": "m + 7", "n": "o + 17", "v": "n + 14", "y": "v + 5", "t": "y + 5", "r": "c + 11", "i": "r + 11", "j": "i + 9", "f": "j + 11", "b": "f + 5", "d": "b + 7", "c": 6}, "premises": {"c": 6}, "target": "t"}, "answer": {"steps": [["y", "v + 5", "v + 10"], ["v", "n + 14", "n + 24"], ["n", "o + 17", "o + 41"], ["o", "m + 7", "m + 48"], ["m", "c + 3", "c + 51"], ["c", 6, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"c": 6}, "is_reverse": true}} | 18,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = r + 11; r = c + 11; o = m + 7; m = c + 3; d = b + 7; n = o + 17; v = n + 14; c = 6; j = i + 9; t = y + 5; f = j + 11; b = f + 5; y = v + 5. Given that c = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 5 to t, which gives t = v + 10.\n2. Substitute v = n + 14 to t, which gives t = n + 24.\n3. Substitute n = o + 17 to t, which gives t = o + 41.\n4. Substitute o = m + 7 to t, which gives t = m + 48.\n5. Substitute m = c + 3 to t, which gives t = c + 51.\n6. Substitute c = 6 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 18899,
"question": "Suppose a collection of variables is related by the following definitions: i = r + 11; r = c + 11; o = m + 7; m = c + 3; d = b + 7; n = o + 17; v = n + 14; c = 6; j = i + 9; t = y + 5; f = j + 11; b = f + 5; y = v + 5. Given that c = 6, find the value of t.",
"split": "train"
} |
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