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": {"l": "f + 20", "u": "l + 15", "m": "u + 15", "g": "m + 18", "i": "g + 5", "s": "i + 12", "k": "f + 10", "j": "k + 17", "n": "j + 9", "a": "n + 2", "t": "a + 20", "x": "t + 20", "f": 11}, "premises": {"f": 11}, "target": "s"}, "answer": {"steps": [["i", "g + 5", "g + 17"], ["g", "m + 18", "m + 35"], ["m", "u + 15", "u + 50"], ["u", "l + 15", "l + 65"], ["l", "f + 20", "f + 85"], ["f", 11, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"f": 11}, "is_reverse": true}} | 12,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 12; a = n + 2; m = u + 15; l = f + 20; u = l + 15; k = f + 10; f = 11; j = k + 17; i = g + 5; n = j + 9; t = a + 20; g = m + 18; x = t + 20. If f = 11, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 5 to s, which gives s = g + 17.\n2. Substitute g = m + 18 to s, which gives s = m + 35.\n3. Substitute m = u + 15 to s, which gives s = u + 50.\n4. Substitute u = l + 15 to s, which gives s = l + 65.\n5. Substitute l = f + 20 to s, which gives s = f + 85.\n6. Substitute f = 11 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 12100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 12; a = n + 2; m = u + 15; l = f + 20; u = l + 15; k = f + 10; f = 11; j = k + 17; i = g + 5; n = j + 9; t = a + 20; g = m + 18; x = t + 20. If f = 11, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 16", "w": "y + 8", "v": "w + 13", "g": "v + 14", "k": "g + 8", "f": "k + 3", "c": "l + 1", "b": "c + 3", "e": "b + 2", "d": "e + 3", "t": "d + 18", "u": "t + 7", "l": 9}, "premises": {"l": 9}, "target": "f"}, "answer": {"steps": [["k", "g + 8", "g + 11"], ["g", "v + 14", "v + 25"], ["v", "w + 13", "w + 38"], ["w", "y + 8", "y + 46"], ["y", "l + 16", "l + 62"], ["l", 9, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"l": 9}, "is_reverse": true}} | 12,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 14; f = k + 3; c = l + 1; w = y + 8; u = t + 7; y = l + 16; b = c + 3; e = b + 2; l = 9; d = e + 3; k = g + 8; v = w + 13; t = d + 18. If l = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 8 to f, which gives f = g + 11.\n2. Substitute g = v + 14 to f, which gives f = v + 25.\n3. Substitute v = w + 13 to f, which gives f = w + 38.\n4. Substitute w = y + 8 to f, which gives f = y + 46.\n5. Substitute y = l + 16 to f, which gives f = l + 62.\n6. Substitute l = 9 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 12101,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 14; f = k + 3; c = l + 1; w = y + 8; u = t + 7; y = l + 16; b = c + 3; e = b + 2; l = 9; d = e + 3; k = g + 8; v = w + 13; t = d + 18. If l = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 9", "x": "k + 8", "q": "x + 16", "r": "q + 4", "o": "r + 7", "v": "o + 16", "n": "c + 1", "f": "n + 18", "l": "f + 12", "e": "l + 10", "s": "e + 3", "t": "s + 15", "c": 15}, "premises": {"c": 15}, "target": "v"}, "answer": {"steps": [["o", "r + 7", "r + 23"], ["r", "q + 4", "q + 27"], ["q", "x + 16", "x + 43"], ["x", "k + 8", "k + 51"], ["k", "c + 9", "c + 60"], ["c", 15, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"c": 15}, "is_reverse": true}} | 12,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 4; e = l + 10; x = k + 8; k = c + 9; v = o + 16; t = s + 15; c = 15; o = r + 7; f = n + 18; l = f + 12; s = e + 3; n = c + 1; q = x + 16. Given that c = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 7 to v, which gives v = r + 23.\n2. Substitute r = q + 4 to v, which gives v = q + 27.\n3. Substitute q = x + 16 to v, which gives v = x + 43.\n4. Substitute x = k + 8 to v, which gives v = k + 51.\n5. Substitute k = c + 9 to v, which gives v = c + 60.\n6. Substitute c = 15 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 12102,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 4; e = l + 10; x = k + 8; k = c + 9; v = o + 16; t = s + 15; c = 15; o = r + 7; f = n + 18; l = f + 12; s = e + 3; n = c + 1; q = x + 16. Given that c = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 20", "h": "m + 6", "c": "h + 5", "w": "c + 9", "b": "w + 2", "q": "b + 8", "i": "l + 4", "s": "i + 17", "j": "s + 9", "g": "j + 11", "u": "g + 9", "d": "u + 7", "l": 9}, "premises": {"l": 9}, "target": "q"}, "answer": {"steps": [["b", "w + 2", "w + 10"], ["w", "c + 9", "c + 19"], ["c", "h + 5", "h + 24"], ["h", "m + 6", "m + 30"], ["m", "l + 20", "l + 50"], ["l", 9, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"l": 9}, "is_reverse": true}} | 12,103 | 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 = l + 4; d = u + 7; m = l + 20; l = 9; j = s + 9; s = i + 17; q = b + 8; u = g + 9; w = c + 9; h = m + 6; b = w + 2; c = h + 5; g = j + 11. If l = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 2 to q, which gives q = w + 10.\n2. Substitute w = c + 9 to q, which gives q = c + 19.\n3. Substitute c = h + 5 to q, which gives q = h + 24.\n4. Substitute h = m + 6 to q, which gives q = m + 30.\n5. Substitute m = l + 20 to q, which gives q = l + 50.\n6. Substitute l = 9 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 12103,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 4; d = u + 7; m = l + 20; l = 9; j = s + 9; s = i + 17; q = b + 8; u = g + 9; w = c + 9; h = m + 6; b = w + 2; c = h + 5; g = j + 11. If l = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 8", "r": "g + 13", "v": "r + 12", "f": "v + 3", "q": "f + 9", "i": "q + 12", "t": "x + 15", "y": "t + 6", "e": "y + 1", "b": "e + 13", "k": "b + 19", "o": "k + 13", "x": 2}, "premises": {"x": 2}, "target": "i"}, "answer": {"steps": [["q", "f + 9", "f + 21"], ["f", "v + 3", "v + 24"], ["v", "r + 12", "r + 36"], ["r", "g + 13", "g + 49"], ["g", "x + 8", "x + 57"], ["x", 2, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"x": 2}, "is_reverse": true}} | 12,104 | 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 + 1; g = x + 8; y = t + 6; o = k + 13; r = g + 13; b = e + 13; t = x + 15; q = f + 9; k = b + 19; i = q + 12; f = v + 3; v = r + 12; x = 2. If x = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 9 to i, which gives i = f + 21.\n2. Substitute f = v + 3 to i, which gives i = v + 24.\n3. Substitute v = r + 12 to i, which gives i = r + 36.\n4. Substitute r = g + 13 to i, which gives i = g + 49.\n5. Substitute g = x + 8 to i, which gives i = x + 57.\n6. Substitute x = 2 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 12104,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 1; g = x + 8; y = t + 6; o = k + 13; r = g + 13; b = e + 13; t = x + 15; q = f + 9; k = b + 19; i = q + 12; f = v + 3; v = r + 12; x = 2. If x = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 10", "y": "q + 1", "t": "y + 8", "w": "t + 18", "i": "w + 4", "l": "i + 8", "m": "s + 5", "f": "m + 5", "n": "f + 7", "k": "n + 12", "x": "k + 2", "g": "x + 12", "s": 2}, "premises": {"s": 2}, "target": "l"}, "answer": {"steps": [["i", "w + 4", "w + 12"], ["w", "t + 18", "t + 30"], ["t", "y + 8", "y + 38"], ["y", "q + 1", "q + 39"], ["q", "s + 10", "s + 49"], ["s", 2, "51"]], "target_var_name": "l", "target_value": 51, "value_dict": {"s": 2}, "is_reverse": true}} | 12,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 8; s = 2; n = f + 7; f = m + 5; y = q + 1; m = s + 5; i = w + 4; w = t + 18; l = i + 8; x = k + 2; q = s + 10; g = x + 12; k = n + 12. Given that s = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 4 to l, which gives l = w + 12.\n2. Substitute w = t + 18 to l, which gives l = t + 30.\n3. Substitute t = y + 8 to l, which gives l = y + 38.\n4. Substitute y = q + 1 to l, which gives l = q + 39.\n5. Substitute q = s + 10 to l, which gives l = s + 49.\n6. Substitute s = 2 to l, which gives l = 51.\n\nThus, the final answer is l = \\boxed{51}.",
"index": 12105,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 8; s = 2; n = f + 7; f = m + 5; y = q + 1; m = s + 5; i = w + 4; w = t + 18; l = i + 8; x = k + 2; q = s + 10; g = x + 12; k = n + 12. Given that s = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 1", "x": "d + 12", "t": "x + 14", "k": "t + 19", "e": "k + 6", "a": "e + 15", "g": "j + 20", "l": "g + 6", "f": "l + 1", "c": "f + 14", "s": "c + 15", "r": "s + 20", "j": 9}, "premises": {"j": 9}, "target": "a"}, "answer": {"steps": [["e", "k + 6", "k + 21"], ["k", "t + 19", "t + 40"], ["t", "x + 14", "x + 54"], ["x", "d + 12", "d + 66"], ["d", "j + 1", "j + 67"], ["j", 9, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"j": 9}, "is_reverse": true}} | 12,106 | 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 = j + 1; t = x + 14; g = j + 20; s = c + 15; a = e + 15; r = s + 20; l = g + 6; j = 9; x = d + 12; f = l + 1; c = f + 14; e = k + 6; k = t + 19. If j = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 6 to a, which gives a = k + 21.\n2. Substitute k = t + 19 to a, which gives a = t + 40.\n3. Substitute t = x + 14 to a, which gives a = x + 54.\n4. Substitute x = d + 12 to a, which gives a = d + 66.\n5. Substitute d = j + 1 to a, which gives a = j + 67.\n6. Substitute j = 9 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 12106,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 1; t = x + 14; g = j + 20; s = c + 15; a = e + 15; r = s + 20; l = g + 6; j = 9; x = d + 12; f = l + 1; c = f + 14; e = k + 6; k = t + 19. If j = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 11", "f": "s + 4", "y": "f + 3", "t": "y + 4", "n": "t + 13", "a": "n + 4", "x": "m + 4", "q": "x + 18", "d": "q + 11", "g": "d + 16", "j": "g + 2", "b": "j + 8", "m": 6}, "premises": {"m": 6}, "target": "a"}, "answer": {"steps": [["n", "t + 13", "t + 17"], ["t", "y + 4", "y + 21"], ["y", "f + 3", "f + 24"], ["f", "s + 4", "s + 28"], ["s", "m + 11", "m + 39"], ["m", 6, "45"]], "target_var_name": "a", "target_value": 45, "value_dict": {"m": 6}, "is_reverse": true}} | 12,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 11; j = g + 2; x = m + 4; g = d + 16; n = t + 13; q = x + 18; m = 6; s = m + 11; t = y + 4; a = n + 4; b = j + 8; y = f + 3; f = s + 4. Given that m = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 13 to a, which gives a = t + 17.\n2. Substitute t = y + 4 to a, which gives a = y + 21.\n3. Substitute y = f + 3 to a, which gives a = f + 24.\n4. Substitute f = s + 4 to a, which gives a = s + 28.\n5. Substitute s = m + 11 to a, which gives a = m + 39.\n6. Substitute m = 6 to a, which gives a = 45.\n\nThus, the final answer is a = \\boxed{45}.",
"index": 12107,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 11; j = g + 2; x = m + 4; g = d + 16; n = t + 13; q = x + 18; m = 6; s = m + 11; t = y + 4; a = n + 4; b = j + 8; y = f + 3; f = s + 4. Given that m = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 3", "i": "y + 5", "m": "i + 18", "r": "m + 13", "s": "r + 17", "z": "s + 10", "p": "h + 18", "e": "p + 12", "l": "e + 1", "q": "l + 15", "f": "q + 3", "v": "f + 4", "h": 1}, "premises": {"h": 1}, "target": "z"}, "answer": {"steps": [["s", "r + 17", "r + 27"], ["r", "m + 13", "m + 40"], ["m", "i + 18", "i + 58"], ["i", "y + 5", "y + 63"], ["y", "h + 3", "h + 66"], ["h", 1, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"h": 1}, "is_reverse": true}} | 12,108 | 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 = y + 5; s = r + 17; m = i + 18; p = h + 18; h = 1; z = s + 10; y = h + 3; f = q + 3; q = l + 15; e = p + 12; r = m + 13; l = e + 1; v = f + 4. If h = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 17 to z, which gives z = r + 27.\n2. Substitute r = m + 13 to z, which gives z = m + 40.\n3. Substitute m = i + 18 to z, which gives z = i + 58.\n4. Substitute i = y + 5 to z, which gives z = y + 63.\n5. Substitute y = h + 3 to z, which gives z = h + 66.\n6. Substitute h = 1 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 12108,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 5; s = r + 17; m = i + 18; p = h + 18; h = 1; z = s + 10; y = h + 3; f = q + 3; q = l + 15; e = p + 12; r = m + 13; l = e + 1; v = f + 4. If h = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 3", "e": "d + 16", "b": "e + 20", "k": "b + 9", "l": "k + 16", "p": "l + 12", "g": "z + 8", "m": "g + 9", "r": "m + 17", "o": "r + 5", "i": "o + 17", "f": "i + 15", "z": 8}, "premises": {"z": 8}, "target": "p"}, "answer": {"steps": [["l", "k + 16", "k + 28"], ["k", "b + 9", "b + 37"], ["b", "e + 20", "e + 57"], ["e", "d + 16", "d + 73"], ["d", "z + 3", "z + 76"], ["z", 8, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"z": 8}, "is_reverse": true}} | 12,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 17; k = b + 9; r = m + 17; e = d + 16; o = r + 5; b = e + 20; d = z + 3; g = z + 8; p = l + 12; l = k + 16; z = 8; f = i + 15; m = g + 9. If z = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 16 to p, which gives p = k + 28.\n2. Substitute k = b + 9 to p, which gives p = b + 37.\n3. Substitute b = e + 20 to p, which gives p = e + 57.\n4. Substitute e = d + 16 to p, which gives p = d + 73.\n5. Substitute d = z + 3 to p, which gives p = z + 76.\n6. Substitute z = 8 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 12109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 17; k = b + 9; r = m + 17; e = d + 16; o = r + 5; b = e + 20; d = z + 3; g = z + 8; p = l + 12; l = k + 16; z = 8; f = i + 15; m = g + 9. If z = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 20", "k": "a + 19", "i": "k + 5", "h": "i + 5", "s": "h + 15", "d": "s + 6", "u": "g + 14", "f": "u + 17", "e": "f + 11", "x": "e + 15", "p": "x + 1", "j": "p + 14", "g": 19}, "premises": {"g": 19}, "target": "d"}, "answer": {"steps": [["s", "h + 15", "h + 21"], ["h", "i + 5", "i + 26"], ["i", "k + 5", "k + 31"], ["k", "a + 19", "a + 50"], ["a", "g + 20", "g + 70"], ["g", 19, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"g": 19}, "is_reverse": true}} | 12,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 14; i = k + 5; h = i + 5; a = g + 20; e = f + 11; f = u + 17; k = a + 19; s = h + 15; p = x + 1; d = s + 6; x = e + 15; u = g + 14; g = 19. If g = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 15 to d, which gives d = h + 21.\n2. Substitute h = i + 5 to d, which gives d = i + 26.\n3. Substitute i = k + 5 to d, which gives d = k + 31.\n4. Substitute k = a + 19 to d, which gives d = a + 50.\n5. Substitute a = g + 20 to d, which gives d = g + 70.\n6. Substitute g = 19 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 12110,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 14; i = k + 5; h = i + 5; a = g + 20; e = f + 11; f = u + 17; k = a + 19; s = h + 15; p = x + 1; d = s + 6; x = e + 15; u = g + 14; g = 19. If g = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 12", "z": "a + 3", "u": "z + 15", "w": "u + 13", "g": "w + 1", "k": "g + 9", "y": "r + 13", "m": "y + 7", "e": "m + 20", "j": "e + 9", "i": "j + 12", "q": "i + 17", "r": 6}, "premises": {"r": 6}, "target": "k"}, "answer": {"steps": [["g", "w + 1", "w + 10"], ["w", "u + 13", "u + 23"], ["u", "z + 15", "z + 38"], ["z", "a + 3", "a + 41"], ["a", "r + 12", "r + 53"], ["r", 6, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"r": 6}, "is_reverse": true}} | 12,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; z = a + 3; g = w + 1; u = z + 15; y = r + 13; k = g + 9; m = y + 7; r = 6; j = e + 9; e = m + 20; i = j + 12; a = r + 12; w = u + 13. If r = 6, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 1 to k, which gives k = w + 10.\n2. Substitute w = u + 13 to k, which gives k = u + 23.\n3. Substitute u = z + 15 to k, which gives k = z + 38.\n4. Substitute z = a + 3 to k, which gives k = a + 41.\n5. Substitute a = r + 12 to k, which gives k = r + 53.\n6. Substitute r = 6 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 12111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; z = a + 3; g = w + 1; u = z + 15; y = r + 13; k = g + 9; m = y + 7; r = 6; j = e + 9; e = m + 20; i = j + 12; a = r + 12; w = u + 13. If r = 6, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 5", "p": "h + 12", "x": "p + 20", "n": "x + 3", "v": "n + 5", "s": "v + 1", "z": "m + 18", "a": "z + 5", "o": "a + 9", "l": "o + 8", "q": "l + 6", "y": "q + 7", "m": 13}, "premises": {"m": 13}, "target": "s"}, "answer": {"steps": [["v", "n + 5", "n + 6"], ["n", "x + 3", "x + 9"], ["x", "p + 20", "p + 29"], ["p", "h + 12", "h + 41"], ["h", "m + 5", "m + 46"], ["m", 13, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"m": 13}, "is_reverse": true}} | 12,112 | 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 = m + 5; x = p + 20; l = o + 8; a = z + 5; p = h + 12; v = n + 5; m = 13; z = m + 18; y = q + 7; n = x + 3; o = a + 9; q = l + 6; s = v + 1. If m = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 5 to s, which gives s = n + 6.\n2. Substitute n = x + 3 to s, which gives s = x + 9.\n3. Substitute x = p + 20 to s, which gives s = p + 29.\n4. Substitute p = h + 12 to s, which gives s = h + 41.\n5. Substitute h = m + 5 to s, which gives s = m + 46.\n6. Substitute m = 13 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 12112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 5; x = p + 20; l = o + 8; a = z + 5; p = h + 12; v = n + 5; m = 13; z = m + 18; y = q + 7; n = x + 3; o = a + 9; q = l + 6; s = v + 1. If m = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 12", "e": "w + 17", "s": "e + 5", "q": "s + 3", "a": "q + 6", "z": "a + 2", "o": "b + 10", "y": "o + 2", "k": "y + 13", "r": "k + 3", "f": "r + 13", "x": "f + 15", "b": 16}, "premises": {"b": 16}, "target": "z"}, "answer": {"steps": [["a", "q + 6", "q + 8"], ["q", "s + 3", "s + 11"], ["s", "e + 5", "e + 16"], ["e", "w + 17", "w + 33"], ["w", "b + 12", "b + 45"], ["b", 16, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"b": 16}, "is_reverse": true}} | 12,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 12; x = f + 15; y = o + 2; o = b + 10; q = s + 3; r = k + 3; a = q + 6; k = y + 13; e = w + 17; s = e + 5; z = a + 2; f = r + 13; b = 16. Given that b = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 6 to z, which gives z = q + 8.\n2. Substitute q = s + 3 to z, which gives z = s + 11.\n3. Substitute s = e + 5 to z, which gives z = e + 16.\n4. Substitute e = w + 17 to z, which gives z = w + 33.\n5. Substitute w = b + 12 to z, which gives z = b + 45.\n6. Substitute b = 16 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 12113,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 12; x = f + 15; y = o + 2; o = b + 10; q = s + 3; r = k + 3; a = q + 6; k = y + 13; e = w + 17; s = e + 5; z = a + 2; f = r + 13; b = 16. Given that b = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 14", "u": "w + 13", "a": "u + 13", "y": "a + 9", "m": "y + 19", "l": "m + 12", "v": "b + 8", "i": "v + 6", "t": "i + 14", "j": "t + 16", "s": "j + 5", "f": "s + 11", "b": 9}, "premises": {"b": 9}, "target": "l"}, "answer": {"steps": [["m", "y + 19", "y + 31"], ["y", "a + 9", "a + 40"], ["a", "u + 13", "u + 53"], ["u", "w + 13", "w + 66"], ["w", "b + 14", "b + 80"], ["b", 9, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"b": 9}, "is_reverse": true}} | 12,114 | 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 = y + 19; f = s + 11; s = j + 5; v = b + 8; b = 9; w = b + 14; u = w + 13; a = u + 13; t = i + 14; y = a + 9; i = v + 6; j = t + 16; l = m + 12. If b = 9, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 19 to l, which gives l = y + 31.\n2. Substitute y = a + 9 to l, which gives l = a + 40.\n3. Substitute a = u + 13 to l, which gives l = u + 53.\n4. Substitute u = w + 13 to l, which gives l = w + 66.\n5. Substitute w = b + 14 to l, which gives l = b + 80.\n6. Substitute b = 9 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 12114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 19; f = s + 11; s = j + 5; v = b + 8; b = 9; w = b + 14; u = w + 13; a = u + 13; t = i + 14; y = a + 9; i = v + 6; j = t + 16; l = m + 12. If b = 9, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 7", "l": "n + 14", "k": "l + 10", "r": "k + 14", "j": "r + 4", "p": "j + 11", "x": "v + 12", "m": "x + 9", "w": "m + 9", "t": "w + 7", "d": "t + 11", "u": "d + 5", "v": 12}, "premises": {"v": 12}, "target": "p"}, "answer": {"steps": [["j", "r + 4", "r + 15"], ["r", "k + 14", "k + 29"], ["k", "l + 10", "l + 39"], ["l", "n + 14", "n + 53"], ["n", "v + 7", "v + 60"], ["v", 12, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"v": 12}, "is_reverse": true}} | 12,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 14; u = d + 5; d = t + 11; m = x + 9; t = w + 7; x = v + 12; k = l + 10; n = v + 7; p = j + 11; j = r + 4; v = 12; l = n + 14; w = m + 9. If v = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 4 to p, which gives p = r + 15.\n2. Substitute r = k + 14 to p, which gives p = k + 29.\n3. Substitute k = l + 10 to p, which gives p = l + 39.\n4. Substitute l = n + 14 to p, which gives p = n + 53.\n5. Substitute n = v + 7 to p, which gives p = v + 60.\n6. Substitute v = 12 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 12115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 14; u = d + 5; d = t + 11; m = x + 9; t = w + 7; x = v + 12; k = l + 10; n = v + 7; p = j + 11; j = r + 4; v = 12; l = n + 14; w = m + 9. If v = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 3", "p": "f + 1", "s": "p + 4", "t": "s + 13", "c": "t + 17", "x": "c + 4", "r": "n + 11", "d": "r + 15", "l": "d + 8", "o": "l + 2", "b": "o + 6", "w": "b + 17", "n": 5}, "premises": {"n": 5}, "target": "x"}, "answer": {"steps": [["c", "t + 17", "t + 21"], ["t", "s + 13", "s + 34"], ["s", "p + 4", "p + 38"], ["p", "f + 1", "f + 39"], ["f", "n + 3", "n + 42"], ["n", 5, "47"]], "target_var_name": "x", "target_value": 47, "value_dict": {"n": 5}, "is_reverse": true}} | 12,116 | 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 = t + 17; f = n + 3; n = 5; s = p + 4; l = d + 8; o = l + 2; t = s + 13; b = o + 6; x = c + 4; p = f + 1; w = b + 17; d = r + 15; r = n + 11. If n = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 17 to x, which gives x = t + 21.\n2. Substitute t = s + 13 to x, which gives x = s + 34.\n3. Substitute s = p + 4 to x, which gives x = p + 38.\n4. Substitute p = f + 1 to x, which gives x = f + 39.\n5. Substitute f = n + 3 to x, which gives x = n + 42.\n6. Substitute n = 5 to x, which gives x = 47.\n\nThus, the final answer is x = \\boxed{47}.",
"index": 12116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 17; f = n + 3; n = 5; s = p + 4; l = d + 8; o = l + 2; t = s + 13; b = o + 6; x = c + 4; p = f + 1; w = b + 17; d = r + 15; r = n + 11. If n = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 17", "g": "a + 11", "h": "g + 13", "n": "h + 14", "d": "n + 3", "b": "d + 20", "i": "s + 4", "k": "i + 8", "q": "k + 4", "x": "q + 17", "r": "x + 18", "z": "r + 10", "s": 5}, "premises": {"s": 5}, "target": "b"}, "answer": {"steps": [["d", "n + 3", "n + 23"], ["n", "h + 14", "h + 37"], ["h", "g + 13", "g + 50"], ["g", "a + 11", "a + 61"], ["a", "s + 17", "s + 78"], ["s", 5, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"s": 5}, "is_reverse": true}} | 12,117 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 8; d = n + 3; z = r + 10; q = k + 4; s = 5; h = g + 13; b = d + 20; a = s + 17; i = s + 4; x = q + 17; r = x + 18; g = a + 11; n = h + 14. If s = 5, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 3 to b, which gives b = n + 23.\n2. Substitute n = h + 14 to b, which gives b = h + 37.\n3. Substitute h = g + 13 to b, which gives b = g + 50.\n4. Substitute g = a + 11 to b, which gives b = a + 61.\n5. Substitute a = s + 17 to b, which gives b = s + 78.\n6. Substitute s = 5 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 12117,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 8; d = n + 3; z = r + 10; q = k + 4; s = 5; h = g + 13; b = d + 20; a = s + 17; i = s + 4; x = q + 17; r = x + 18; g = a + 11; n = h + 14. If s = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 12", "f": "c + 4", "h": "f + 10", "m": "h + 9", "b": "m + 3", "j": "b + 5", "d": "e + 2", "p": "d + 20", "k": "p + 16", "g": "k + 19", "y": "g + 5", "z": "y + 17", "e": 14}, "premises": {"e": 14}, "target": "j"}, "answer": {"steps": [["b", "m + 3", "m + 8"], ["m", "h + 9", "h + 17"], ["h", "f + 10", "f + 27"], ["f", "c + 4", "c + 31"], ["c", "e + 12", "e + 43"], ["e", 14, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"e": 14}, "is_reverse": true}} | 12,118 | 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 = 14; y = g + 5; d = e + 2; k = p + 16; m = h + 9; c = e + 12; f = c + 4; j = b + 5; b = m + 3; g = k + 19; h = f + 10; z = y + 17; p = d + 20. If e = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 3 to j, which gives j = m + 8.\n2. Substitute m = h + 9 to j, which gives j = h + 17.\n3. Substitute h = f + 10 to j, which gives j = f + 27.\n4. Substitute f = c + 4 to j, which gives j = c + 31.\n5. Substitute c = e + 12 to j, which gives j = e + 43.\n6. Substitute e = 14 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 12118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 14; y = g + 5; d = e + 2; k = p + 16; m = h + 9; c = e + 12; f = c + 4; j = b + 5; b = m + 3; g = k + 19; h = f + 10; z = y + 17; p = d + 20. If e = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 15", "r": "l + 15", "i": "r + 5", "e": "i + 8", "y": "e + 20", "m": "y + 1", "g": "f + 18", "j": "g + 5", "q": "j + 3", "w": "q + 3", "u": "w + 5", "h": "u + 15", "f": 14}, "premises": {"f": 14}, "target": "m"}, "answer": {"steps": [["y", "e + 20", "e + 21"], ["e", "i + 8", "i + 29"], ["i", "r + 5", "r + 34"], ["r", "l + 15", "l + 49"], ["l", "f + 15", "f + 64"], ["f", 14, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"f": 14}, "is_reverse": true}} | 12,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 14; m = y + 1; u = w + 5; g = f + 18; i = r + 5; h = u + 15; y = e + 20; w = q + 3; e = i + 8; q = j + 3; r = l + 15; j = g + 5; l = f + 15. If f = 14, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 20 to m, which gives m = e + 21.\n2. Substitute e = i + 8 to m, which gives m = i + 29.\n3. Substitute i = r + 5 to m, which gives m = r + 34.\n4. Substitute r = l + 15 to m, which gives m = l + 49.\n5. Substitute l = f + 15 to m, which gives m = f + 64.\n6. Substitute f = 14 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 12119,
"question": "Consider a system of variables where each variable is defined as follows: f = 14; m = y + 1; u = w + 5; g = f + 18; i = r + 5; h = u + 15; y = e + 20; w = q + 3; e = i + 8; q = j + 3; r = l + 15; j = g + 5; l = f + 15. If f = 14, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 16", "i": "y + 12", "l": "i + 10", "u": "l + 1", "r": "u + 8", "d": "r + 18", "s": "n + 14", "w": "s + 10", "c": "w + 8", "a": "c + 5", "m": "a + 1", "q": "m + 15", "n": 20}, "premises": {"n": 20}, "target": "d"}, "answer": {"steps": [["r", "u + 8", "u + 26"], ["u", "l + 1", "l + 27"], ["l", "i + 10", "i + 37"], ["i", "y + 12", "y + 49"], ["y", "n + 16", "n + 65"], ["n", 20, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"n": 20}, "is_reverse": true}} | 12,120 | 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 = s + 10; n = 20; y = n + 16; d = r + 18; i = y + 12; r = u + 8; s = n + 14; m = a + 1; l = i + 10; u = l + 1; q = m + 15; a = c + 5; c = w + 8. If n = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 8 to d, which gives d = u + 26.\n2. Substitute u = l + 1 to d, which gives d = l + 27.\n3. Substitute l = i + 10 to d, which gives d = i + 37.\n4. Substitute i = y + 12 to d, which gives d = y + 49.\n5. Substitute y = n + 16 to d, which gives d = n + 65.\n6. Substitute n = 20 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 12120,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 10; n = 20; y = n + 16; d = r + 18; i = y + 12; r = u + 8; s = n + 14; m = a + 1; l = i + 10; u = l + 1; q = m + 15; a = c + 5; c = w + 8. If n = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 18", "u": "v + 11", "o": "u + 4", "a": "o + 9", "x": "a + 12", "s": "x + 12", "e": "l + 4", "c": "e + 1", "d": "c + 13", "y": "d + 4", "r": "y + 4", "t": "r + 11", "l": 14}, "premises": {"l": 14}, "target": "s"}, "answer": {"steps": [["x", "a + 12", "a + 24"], ["a", "o + 9", "o + 33"], ["o", "u + 4", "u + 37"], ["u", "v + 11", "v + 48"], ["v", "l + 18", "l + 66"], ["l", 14, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"l": 14}, "is_reverse": true}} | 12,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 12; r = y + 4; x = a + 12; c = e + 1; v = l + 18; u = v + 11; l = 14; e = l + 4; t = r + 11; y = d + 4; a = o + 9; o = u + 4; d = c + 13. If l = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 12 to s, which gives s = a + 24.\n2. Substitute a = o + 9 to s, which gives s = o + 33.\n3. Substitute o = u + 4 to s, which gives s = u + 37.\n4. Substitute u = v + 11 to s, which gives s = v + 48.\n5. Substitute v = l + 18 to s, which gives s = l + 66.\n6. Substitute l = 14 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 12121,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 12; r = y + 4; x = a + 12; c = e + 1; v = l + 18; u = v + 11; l = 14; e = l + 4; t = r + 11; y = d + 4; a = o + 9; o = u + 4; d = c + 13. If l = 14, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 4", "f": "g + 19", "h": "f + 10", "j": "h + 19", "r": "j + 10", "t": "r + 11", "m": "p + 11", "u": "m + 15", "i": "u + 11", "z": "i + 4", "x": "z + 18", "y": "x + 17", "p": 5}, "premises": {"p": 5}, "target": "t"}, "answer": {"steps": [["r", "j + 10", "j + 21"], ["j", "h + 19", "h + 40"], ["h", "f + 10", "f + 50"], ["f", "g + 19", "g + 69"], ["g", "p + 4", "p + 73"], ["p", 5, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"p": 5}, "is_reverse": true}} | 12,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 11; u = m + 15; p = 5; f = g + 19; z = i + 4; x = z + 18; j = h + 19; r = j + 10; t = r + 11; g = p + 4; i = u + 11; h = f + 10; y = x + 17. Given that p = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 10 to t, which gives t = j + 21.\n2. Substitute j = h + 19 to t, which gives t = h + 40.\n3. Substitute h = f + 10 to t, which gives t = f + 50.\n4. Substitute f = g + 19 to t, which gives t = g + 69.\n5. Substitute g = p + 4 to t, which gives t = p + 73.\n6. Substitute p = 5 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 12122,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 11; u = m + 15; p = 5; f = g + 19; z = i + 4; x = z + 18; j = h + 19; r = j + 10; t = r + 11; g = p + 4; i = u + 11; h = f + 10; y = x + 17. Given that p = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 14", "j": "v + 8", "b": "j + 7", "f": "b + 4", "h": "f + 16", "z": "h + 20", "i": "p + 6", "g": "i + 8", "a": "g + 4", "w": "a + 18", "s": "w + 13", "m": "s + 7", "p": 3}, "premises": {"p": 3}, "target": "z"}, "answer": {"steps": [["h", "f + 16", "f + 36"], ["f", "b + 4", "b + 40"], ["b", "j + 7", "j + 47"], ["j", "v + 8", "v + 55"], ["v", "p + 14", "p + 69"], ["p", 3, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"p": 3}, "is_reverse": true}} | 12,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 14; i = p + 6; g = i + 8; w = a + 18; p = 3; j = v + 8; b = j + 7; s = w + 13; m = s + 7; a = g + 4; z = h + 20; h = f + 16; f = b + 4. Given that p = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 16 to z, which gives z = f + 36.\n2. Substitute f = b + 4 to z, which gives z = b + 40.\n3. Substitute b = j + 7 to z, which gives z = j + 47.\n4. Substitute j = v + 8 to z, which gives z = v + 55.\n5. Substitute v = p + 14 to z, which gives z = p + 69.\n6. Substitute p = 3 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 12123,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 14; i = p + 6; g = i + 8; w = a + 18; p = 3; j = v + 8; b = j + 7; s = w + 13; m = s + 7; a = g + 4; z = h + 20; h = f + 16; f = b + 4. Given that p = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 16", "y": "m + 4", "v": "y + 19", "p": "v + 4", "l": "p + 13", "c": "l + 20", "n": "r + 12", "g": "n + 2", "h": "g + 16", "s": "h + 15", "t": "s + 14", "d": "t + 19", "r": 20}, "premises": {"r": 20}, "target": "c"}, "answer": {"steps": [["l", "p + 13", "p + 33"], ["p", "v + 4", "v + 37"], ["v", "y + 19", "y + 56"], ["y", "m + 4", "m + 60"], ["m", "r + 16", "r + 76"], ["r", 20, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"r": 20}, "is_reverse": true}} | 12,124 | 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 = m + 4; t = s + 14; p = v + 4; v = y + 19; h = g + 16; g = n + 2; n = r + 12; r = 20; m = r + 16; c = l + 20; s = h + 15; l = p + 13; d = t + 19. If r = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 13 to c, which gives c = p + 33.\n2. Substitute p = v + 4 to c, which gives c = v + 37.\n3. Substitute v = y + 19 to c, which gives c = y + 56.\n4. Substitute y = m + 4 to c, which gives c = m + 60.\n5. Substitute m = r + 16 to c, which gives c = r + 76.\n6. Substitute r = 20 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 12124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 4; t = s + 14; p = v + 4; v = y + 19; h = g + 16; g = n + 2; n = r + 12; r = 20; m = r + 16; c = l + 20; s = h + 15; l = p + 13; d = t + 19. If r = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 17", "u": "x + 3", "p": "u + 3", "q": "p + 4", "k": "q + 10", "s": "k + 4", "n": "f + 13", "b": "n + 1", "h": "b + 14", "e": "h + 4", "m": "e + 11", "c": "m + 1", "f": 13}, "premises": {"f": 13}, "target": "s"}, "answer": {"steps": [["k", "q + 10", "q + 14"], ["q", "p + 4", "p + 18"], ["p", "u + 3", "u + 21"], ["u", "x + 3", "x + 24"], ["x", "f + 17", "f + 41"], ["f", 13, "54"]], "target_var_name": "s", "target_value": 54, "value_dict": {"f": 13}, "is_reverse": true}} | 12,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 3; s = k + 4; f = 13; c = m + 1; p = u + 3; m = e + 11; h = b + 14; e = h + 4; k = q + 10; n = f + 13; x = f + 17; b = n + 1; q = p + 4. If f = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 10 to s, which gives s = q + 14.\n2. Substitute q = p + 4 to s, which gives s = p + 18.\n3. Substitute p = u + 3 to s, which gives s = u + 21.\n4. Substitute u = x + 3 to s, which gives s = x + 24.\n5. Substitute x = f + 17 to s, which gives s = f + 41.\n6. Substitute f = 13 to s, which gives s = 54.\n\nThus, the final answer is s = \\boxed{54}.",
"index": 12125,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 3; s = k + 4; f = 13; c = m + 1; p = u + 3; m = e + 11; h = b + 14; e = h + 4; k = q + 10; n = f + 13; x = f + 17; b = n + 1; q = p + 4. If f = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 7", "v": "l + 16", "p": "v + 9", "k": "p + 20", "q": "k + 20", "a": "q + 6", "b": "y + 16", "o": "b + 19", "w": "o + 12", "f": "w + 9", "d": "f + 8", "r": "d + 5", "y": 19}, "premises": {"y": 19}, "target": "a"}, "answer": {"steps": [["q", "k + 20", "k + 26"], ["k", "p + 20", "p + 46"], ["p", "v + 9", "v + 55"], ["v", "l + 16", "l + 71"], ["l", "y + 7", "y + 78"], ["y", 19, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"y": 19}, "is_reverse": true}} | 12,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 7; d = f + 8; a = q + 6; k = p + 20; o = b + 19; w = o + 12; f = w + 9; y = 19; p = v + 9; b = y + 16; r = d + 5; q = k + 20; v = l + 16. Given that y = 19, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 20 to a, which gives a = k + 26.\n2. Substitute k = p + 20 to a, which gives a = p + 46.\n3. Substitute p = v + 9 to a, which gives a = v + 55.\n4. Substitute v = l + 16 to a, which gives a = l + 71.\n5. Substitute l = y + 7 to a, which gives a = y + 78.\n6. Substitute y = 19 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 12126,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 7; d = f + 8; a = q + 6; k = p + 20; o = b + 19; w = o + 12; f = w + 9; y = 19; p = v + 9; b = y + 16; r = d + 5; q = k + 20; v = l + 16. Given that y = 19, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 11", "s": "g + 7", "o": "s + 12", "k": "o + 13", "h": "k + 16", "r": "h + 5", "j": "c + 9", "z": "j + 11", "x": "z + 3", "w": "x + 11", "y": "w + 3", "q": "y + 13", "c": 4}, "premises": {"c": 4}, "target": "r"}, "answer": {"steps": [["h", "k + 16", "k + 21"], ["k", "o + 13", "o + 34"], ["o", "s + 12", "s + 46"], ["s", "g + 7", "g + 53"], ["g", "c + 11", "c + 64"], ["c", 4, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"c": 4}, "is_reverse": true}} | 12,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 4; g = c + 11; o = s + 12; y = w + 3; h = k + 16; r = h + 5; j = c + 9; x = z + 3; w = x + 11; z = j + 11; k = o + 13; s = g + 7; q = y + 13. If c = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 16 to r, which gives r = k + 21.\n2. Substitute k = o + 13 to r, which gives r = o + 34.\n3. Substitute o = s + 12 to r, which gives r = s + 46.\n4. Substitute s = g + 7 to r, which gives r = g + 53.\n5. Substitute g = c + 11 to r, which gives r = c + 64.\n6. Substitute c = 4 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 12127,
"question": "Consider a system of variables where each variable is defined as follows: c = 4; g = c + 11; o = s + 12; y = w + 3; h = k + 16; r = h + 5; j = c + 9; x = z + 3; w = x + 11; z = j + 11; k = o + 13; s = g + 7; q = y + 13. If c = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 6", "v": "g + 18", "o": "v + 20", "p": "o + 1", "n": "p + 7", "w": "n + 16", "z": "e + 2", "q": "z + 13", "d": "q + 19", "a": "d + 15", "r": "a + 10", "y": "r + 20", "e": 1}, "premises": {"e": 1}, "target": "w"}, "answer": {"steps": [["n", "p + 7", "p + 23"], ["p", "o + 1", "o + 24"], ["o", "v + 20", "v + 44"], ["v", "g + 18", "g + 62"], ["g", "e + 6", "e + 68"], ["e", 1, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"e": 1}, "is_reverse": true}} | 12,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 13; d = q + 19; y = r + 20; g = e + 6; o = v + 20; e = 1; p = o + 1; w = n + 16; a = d + 15; n = p + 7; z = e + 2; r = a + 10; v = g + 18. Given that e = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 7 to w, which gives w = p + 23.\n2. Substitute p = o + 1 to w, which gives w = o + 24.\n3. Substitute o = v + 20 to w, which gives w = v + 44.\n4. Substitute v = g + 18 to w, which gives w = g + 62.\n5. Substitute g = e + 6 to w, which gives w = e + 68.\n6. Substitute e = 1 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 12128,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 13; d = q + 19; y = r + 20; g = e + 6; o = v + 20; e = 1; p = o + 1; w = n + 16; a = d + 15; n = p + 7; z = e + 2; r = a + 10; v = g + 18. Given that e = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 10", "z": "d + 4", "c": "z + 15", "u": "c + 15", "t": "u + 18", "v": "t + 6", "r": "o + 18", "p": "r + 5", "i": "p + 12", "k": "i + 16", "w": "k + 14", "q": "w + 19", "o": 13}, "premises": {"o": 13}, "target": "v"}, "answer": {"steps": [["t", "u + 18", "u + 24"], ["u", "c + 15", "c + 39"], ["c", "z + 15", "z + 54"], ["z", "d + 4", "d + 58"], ["d", "o + 10", "o + 68"], ["o", 13, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"o": 13}, "is_reverse": true}} | 12,129 | 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 = c + 15; i = p + 12; p = r + 5; o = 13; k = i + 16; z = d + 4; q = w + 19; r = o + 18; c = z + 15; v = t + 6; t = u + 18; d = o + 10; w = k + 14. If o = 13, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 18 to v, which gives v = u + 24.\n2. Substitute u = c + 15 to v, which gives v = c + 39.\n3. Substitute c = z + 15 to v, which gives v = z + 54.\n4. Substitute z = d + 4 to v, which gives v = d + 58.\n5. Substitute d = o + 10 to v, which gives v = o + 68.\n6. Substitute o = 13 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 12129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 15; i = p + 12; p = r + 5; o = 13; k = i + 16; z = d + 4; q = w + 19; r = o + 18; c = z + 15; v = t + 6; t = u + 18; d = o + 10; w = k + 14. If o = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 16", "e": "f + 3", "x": "e + 18", "k": "x + 20", "c": "k + 8", "r": "c + 7", "g": "q + 17", "n": "g + 17", "m": "n + 16", "z": "m + 14", "u": "z + 8", "a": "u + 13", "q": 13}, "premises": {"q": 13}, "target": "r"}, "answer": {"steps": [["c", "k + 8", "k + 15"], ["k", "x + 20", "x + 35"], ["x", "e + 18", "e + 53"], ["e", "f + 3", "f + 56"], ["f", "q + 16", "q + 72"], ["q", 13, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"q": 13}, "is_reverse": true}} | 12,130 | 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 = u + 13; n = g + 17; c = k + 8; x = e + 18; q = 13; f = q + 16; r = c + 7; z = m + 14; u = z + 8; k = x + 20; g = q + 17; e = f + 3; m = n + 16. If q = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 8 to r, which gives r = k + 15.\n2. Substitute k = x + 20 to r, which gives r = x + 35.\n3. Substitute x = e + 18 to r, which gives r = e + 53.\n4. Substitute e = f + 3 to r, which gives r = f + 56.\n5. Substitute f = q + 16 to r, which gives r = q + 72.\n6. Substitute q = 13 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 12130,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 13; n = g + 17; c = k + 8; x = e + 18; q = 13; f = q + 16; r = c + 7; z = m + 14; u = z + 8; k = x + 20; g = q + 17; e = f + 3; m = n + 16. If q = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 12", "p": "s + 10", "x": "p + 6", "j": "x + 9", "t": "j + 11", "v": "t + 4", "o": "c + 18", "i": "o + 12", "h": "i + 11", "n": "h + 13", "e": "n + 14", "u": "e + 14", "c": 11}, "premises": {"c": 11}, "target": "v"}, "answer": {"steps": [["t", "j + 11", "j + 15"], ["j", "x + 9", "x + 24"], ["x", "p + 6", "p + 30"], ["p", "s + 10", "s + 40"], ["s", "c + 12", "c + 52"], ["c", 11, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"c": 11}, "is_reverse": true}} | 12,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 10; j = x + 9; s = c + 12; o = c + 18; t = j + 11; u = e + 14; n = h + 13; e = n + 14; x = p + 6; h = i + 11; v = t + 4; c = 11; i = o + 12. If c = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 11 to v, which gives v = j + 15.\n2. Substitute j = x + 9 to v, which gives v = x + 24.\n3. Substitute x = p + 6 to v, which gives v = p + 30.\n4. Substitute p = s + 10 to v, which gives v = s + 40.\n5. Substitute s = c + 12 to v, which gives v = c + 52.\n6. Substitute c = 11 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 12131,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 10; j = x + 9; s = c + 12; o = c + 18; t = j + 11; u = e + 14; n = h + 13; e = n + 14; x = p + 6; h = i + 11; v = t + 4; c = 11; i = o + 12. If c = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 8", "j": "k + 13", "c": "j + 6", "d": "c + 2", "f": "d + 14", "q": "f + 3", "i": "a + 6", "n": "i + 17", "m": "n + 12", "e": "m + 8", "v": "e + 13", "p": "v + 4", "a": 8}, "premises": {"a": 8}, "target": "q"}, "answer": {"steps": [["f", "d + 14", "d + 17"], ["d", "c + 2", "c + 19"], ["c", "j + 6", "j + 25"], ["j", "k + 13", "k + 38"], ["k", "a + 8", "a + 46"], ["a", 8, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"a": 8}, "is_reverse": true}} | 12,132 | 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 = m + 8; n = i + 17; k = a + 8; a = 8; q = f + 3; f = d + 14; c = j + 6; j = k + 13; v = e + 13; m = n + 12; i = a + 6; d = c + 2; p = v + 4. If a = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 14 to q, which gives q = d + 17.\n2. Substitute d = c + 2 to q, which gives q = c + 19.\n3. Substitute c = j + 6 to q, which gives q = j + 25.\n4. Substitute j = k + 13 to q, which gives q = k + 38.\n5. Substitute k = a + 8 to q, which gives q = a + 46.\n6. Substitute a = 8 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 12132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 8; n = i + 17; k = a + 8; a = 8; q = f + 3; f = d + 14; c = j + 6; j = k + 13; v = e + 13; m = n + 12; i = a + 6; d = c + 2; p = v + 4. If a = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 6", "d": "z + 1", "t": "d + 14", "q": "t + 15", "b": "q + 15", "g": "b + 6", "p": "i + 10", "j": "p + 11", "v": "j + 6", "u": "v + 1", "o": "u + 11", "k": "o + 13", "i": 4}, "premises": {"i": 4}, "target": "g"}, "answer": {"steps": [["b", "q + 15", "q + 21"], ["q", "t + 15", "t + 36"], ["t", "d + 14", "d + 50"], ["d", "z + 1", "z + 51"], ["z", "i + 6", "i + 57"], ["i", 4, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"i": 4}, "is_reverse": true}} | 12,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 6; u = v + 1; t = d + 14; g = b + 6; q = t + 15; p = i + 10; d = z + 1; k = o + 13; j = p + 11; b = q + 15; v = j + 6; o = u + 11; i = 4. If i = 4, determine the 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 b = q + 15 to g, which gives g = q + 21.\n2. Substitute q = t + 15 to g, which gives g = t + 36.\n3. Substitute t = d + 14 to g, which gives g = d + 50.\n4. Substitute d = z + 1 to g, which gives g = z + 51.\n5. Substitute z = i + 6 to g, which gives g = i + 57.\n6. Substitute i = 4 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 12133,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 6; u = v + 1; t = d + 14; g = b + 6; q = t + 15; p = i + 10; d = z + 1; k = o + 13; j = p + 11; b = q + 15; v = j + 6; o = u + 11; i = 4. If i = 4, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 8", "m": "y + 18", "v": "m + 2", "n": "v + 4", "f": "n + 6", "r": "f + 11", "q": "s + 5", "h": "q + 3", "t": "h + 3", "w": "t + 11", "j": "w + 6", "l": "j + 16", "s": 8}, "premises": {"s": 8}, "target": "r"}, "answer": {"steps": [["f", "n + 6", "n + 17"], ["n", "v + 4", "v + 21"], ["v", "m + 2", "m + 23"], ["m", "y + 18", "y + 41"], ["y", "s + 8", "s + 49"], ["s", 8, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"s": 8}, "is_reverse": true}} | 12,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 2; j = w + 6; w = t + 11; s = 8; f = n + 6; y = s + 8; l = j + 16; h = q + 3; n = v + 4; t = h + 3; r = f + 11; q = s + 5; m = y + 18. If s = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 6 to r, which gives r = n + 17.\n2. Substitute n = v + 4 to r, which gives r = v + 21.\n3. Substitute v = m + 2 to r, which gives r = m + 23.\n4. Substitute m = y + 18 to r, which gives r = y + 41.\n5. Substitute y = s + 8 to r, which gives r = s + 49.\n6. Substitute s = 8 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 12134,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 2; j = w + 6; w = t + 11; s = 8; f = n + 6; y = s + 8; l = j + 16; h = q + 3; n = v + 4; t = h + 3; r = f + 11; q = s + 5; m = y + 18. If s = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 10", "x": "q + 13", "b": "x + 8", "c": "b + 16", "r": "c + 9", "i": "r + 16", "o": "a + 15", "l": "o + 17", "y": "l + 12", "k": "y + 6", "f": "k + 19", "p": "f + 16", "a": 3}, "premises": {"a": 3}, "target": "i"}, "answer": {"steps": [["r", "c + 9", "c + 25"], ["c", "b + 16", "b + 41"], ["b", "x + 8", "x + 49"], ["x", "q + 13", "q + 62"], ["q", "a + 10", "a + 72"], ["a", 3, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"a": 3}, "is_reverse": true}} | 12,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 19; p = f + 16; k = y + 6; i = r + 16; a = 3; c = b + 16; x = q + 13; l = o + 17; o = a + 15; r = c + 9; q = a + 10; y = l + 12; b = x + 8. Given that a = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 9 to i, which gives i = c + 25.\n2. Substitute c = b + 16 to i, which gives i = b + 41.\n3. Substitute b = x + 8 to i, which gives i = x + 49.\n4. Substitute x = q + 13 to i, which gives i = q + 62.\n5. Substitute q = a + 10 to i, which gives i = a + 72.\n6. Substitute a = 3 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 12135,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 19; p = f + 16; k = y + 6; i = r + 16; a = 3; c = b + 16; x = q + 13; l = o + 17; o = a + 15; r = c + 9; q = a + 10; y = l + 12; b = x + 8. Given that a = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 2", "u": "y + 6", "s": "u + 12", "q": "s + 2", "m": "q + 13", "g": "m + 8", "a": "p + 12", "b": "a + 2", "d": "b + 6", "t": "d + 19", "k": "t + 2", "h": "k + 16", "p": 7}, "premises": {"p": 7}, "target": "g"}, "answer": {"steps": [["m", "q + 13", "q + 21"], ["q", "s + 2", "s + 23"], ["s", "u + 12", "u + 35"], ["u", "y + 6", "y + 41"], ["y", "p + 2", "p + 43"], ["p", 7, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"p": 7}, "is_reverse": true}} | 12,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 19; u = y + 6; h = k + 16; p = 7; m = q + 13; b = a + 2; d = b + 6; g = m + 8; a = p + 12; s = u + 12; y = p + 2; q = s + 2; k = t + 2. If p = 7, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 13 to g, which gives g = q + 21.\n2. Substitute q = s + 2 to g, which gives g = s + 23.\n3. Substitute s = u + 12 to g, which gives g = u + 35.\n4. Substitute u = y + 6 to g, which gives g = y + 41.\n5. Substitute y = p + 2 to g, which gives g = p + 43.\n6. Substitute p = 7 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 12136,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 19; u = y + 6; h = k + 16; p = 7; m = q + 13; b = a + 2; d = b + 6; g = m + 8; a = p + 12; s = u + 12; y = p + 2; q = s + 2; k = t + 2. If p = 7, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 9", "m": "r + 14", "f": "m + 17", "h": "f + 11", "b": "h + 11", "k": "b + 5", "t": "o + 14", "u": "t + 12", "y": "u + 13", "s": "y + 4", "d": "s + 3", "w": "d + 11", "o": 17}, "premises": {"o": 17}, "target": "k"}, "answer": {"steps": [["b", "h + 11", "h + 16"], ["h", "f + 11", "f + 27"], ["f", "m + 17", "m + 44"], ["m", "r + 14", "r + 58"], ["r", "o + 9", "o + 67"], ["o", 17, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"o": 17}, "is_reverse": true}} | 12,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 14; k = b + 5; b = h + 11; d = s + 3; o = 17; r = o + 9; u = t + 12; w = d + 11; s = y + 4; h = f + 11; y = u + 13; f = m + 17; m = r + 14. If o = 17, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 11 to k, which gives k = h + 16.\n2. Substitute h = f + 11 to k, which gives k = f + 27.\n3. Substitute f = m + 17 to k, which gives k = m + 44.\n4. Substitute m = r + 14 to k, which gives k = r + 58.\n5. Substitute r = o + 9 to k, which gives k = o + 67.\n6. Substitute o = 17 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 12137,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 14; k = b + 5; b = h + 11; d = s + 3; o = 17; r = o + 9; u = t + 12; w = d + 11; s = y + 4; h = f + 11; y = u + 13; f = m + 17; m = r + 14. If o = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 3", "l": "j + 8", "x": "l + 3", "f": "x + 17", "h": "f + 12", "i": "h + 11", "o": "n + 7", "w": "o + 20", "y": "w + 15", "v": "y + 7", "z": "v + 12", "t": "z + 17", "n": 7}, "premises": {"n": 7}, "target": "i"}, "answer": {"steps": [["h", "f + 12", "f + 23"], ["f", "x + 17", "x + 40"], ["x", "l + 3", "l + 43"], ["l", "j + 8", "j + 51"], ["j", "n + 3", "n + 54"], ["n", 7, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"n": 7}, "is_reverse": true}} | 12,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = j + 8; x = l + 3; f = x + 17; n = 7; y = w + 15; w = o + 20; t = z + 17; z = v + 12; v = y + 7; i = h + 11; o = n + 7; h = f + 12; j = n + 3. Given that n = 7, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 12 to i, which gives i = f + 23.\n2. Substitute f = x + 17 to i, which gives i = x + 40.\n3. Substitute x = l + 3 to i, which gives i = l + 43.\n4. Substitute l = j + 8 to i, which gives i = j + 51.\n5. Substitute j = n + 3 to i, which gives i = n + 54.\n6. Substitute n = 7 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 12138,
"question": "Suppose a collection of variables is related by the following definitions: l = j + 8; x = l + 3; f = x + 17; n = 7; y = w + 15; w = o + 20; t = z + 17; z = v + 12; v = y + 7; i = h + 11; o = n + 7; h = f + 12; j = n + 3. Given that n = 7, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 14", "s": "i + 13", "a": "s + 15", "k": "a + 14", "r": "k + 7", "l": "r + 8", "z": "b + 7", "q": "z + 19", "h": "q + 6", "t": "h + 7", "f": "t + 18", "n": "f + 6", "b": 2}, "premises": {"b": 2}, "target": "l"}, "answer": {"steps": [["r", "k + 7", "k + 15"], ["k", "a + 14", "a + 29"], ["a", "s + 15", "s + 44"], ["s", "i + 13", "i + 57"], ["i", "b + 14", "b + 71"], ["b", 2, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"b": 2}, "is_reverse": true}} | 12,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 7; s = i + 13; h = q + 6; a = s + 15; t = h + 7; q = z + 19; n = f + 6; k = a + 14; r = k + 7; f = t + 18; b = 2; i = b + 14; l = r + 8. Given that b = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 7 to l, which gives l = k + 15.\n2. Substitute k = a + 14 to l, which gives l = a + 29.\n3. Substitute a = s + 15 to l, which gives l = s + 44.\n4. Substitute s = i + 13 to l, which gives l = i + 57.\n5. Substitute i = b + 14 to l, which gives l = b + 71.\n6. Substitute b = 2 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 12139,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 7; s = i + 13; h = q + 6; a = s + 15; t = h + 7; q = z + 19; n = f + 6; k = a + 14; r = k + 7; f = t + 18; b = 2; i = b + 14; l = r + 8. Given that b = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 16", "b": "s + 17", "q": "b + 3", "f": "q + 19", "g": "f + 14", "d": "g + 1", "x": "n + 15", "h": "x + 19", "r": "h + 1", "t": "r + 2", "l": "t + 14", "m": "l + 7", "n": 7}, "premises": {"n": 7}, "target": "d"}, "answer": {"steps": [["g", "f + 14", "f + 15"], ["f", "q + 19", "q + 34"], ["q", "b + 3", "b + 37"], ["b", "s + 17", "s + 54"], ["s", "n + 16", "n + 70"], ["n", 7, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"n": 7}, "is_reverse": true}} | 12,140 | 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 = t + 14; d = g + 1; b = s + 17; f = q + 19; n = 7; q = b + 3; t = r + 2; x = n + 15; s = n + 16; g = f + 14; m = l + 7; r = h + 1; h = x + 19. If n = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 14 to d, which gives d = f + 15.\n2. Substitute f = q + 19 to d, which gives d = q + 34.\n3. Substitute q = b + 3 to d, which gives d = b + 37.\n4. Substitute b = s + 17 to d, which gives d = s + 54.\n5. Substitute s = n + 16 to d, which gives d = n + 70.\n6. Substitute n = 7 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 12140,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 14; d = g + 1; b = s + 17; f = q + 19; n = 7; q = b + 3; t = r + 2; x = n + 15; s = n + 16; g = f + 14; m = l + 7; r = h + 1; h = x + 19. If n = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 1", "d": "f + 17", "q": "d + 20", "p": "q + 18", "g": "p + 9", "i": "g + 13", "y": "r + 19", "z": "y + 3", "t": "z + 19", "s": "t + 2", "v": "s + 8", "u": "v + 6", "r": 6}, "premises": {"r": 6}, "target": "i"}, "answer": {"steps": [["g", "p + 9", "p + 22"], ["p", "q + 18", "q + 40"], ["q", "d + 20", "d + 60"], ["d", "f + 17", "f + 77"], ["f", "r + 1", "r + 78"], ["r", 6, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"r": 6}, "is_reverse": true}} | 12,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 20; g = p + 9; d = f + 17; f = r + 1; u = v + 6; i = g + 13; r = 6; z = y + 3; t = z + 19; v = s + 8; y = r + 19; p = q + 18; s = t + 2. If r = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 9 to i, which gives i = p + 22.\n2. Substitute p = q + 18 to i, which gives i = q + 40.\n3. Substitute q = d + 20 to i, which gives i = d + 60.\n4. Substitute d = f + 17 to i, which gives i = f + 77.\n5. Substitute f = r + 1 to i, which gives i = r + 78.\n6. Substitute r = 6 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 12141,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 20; g = p + 9; d = f + 17; f = r + 1; u = v + 6; i = g + 13; r = 6; z = y + 3; t = z + 19; v = s + 8; y = r + 19; p = q + 18; s = t + 2. If r = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 17", "t": "r + 15", "q": "t + 19", "x": "q + 18", "z": "x + 11", "f": "z + 10", "g": "i + 5", "m": "g + 20", "b": "m + 3", "p": "b + 11", "w": "p + 20", "j": "w + 8", "i": 1}, "premises": {"i": 1}, "target": "f"}, "answer": {"steps": [["z", "x + 11", "x + 21"], ["x", "q + 18", "q + 39"], ["q", "t + 19", "t + 58"], ["t", "r + 15", "r + 73"], ["r", "i + 17", "i + 90"], ["i", 1, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"i": 1}, "is_reverse": true}} | 12,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 10; j = w + 8; b = m + 3; i = 1; m = g + 20; r = i + 17; p = b + 11; t = r + 15; x = q + 18; g = i + 5; w = p + 20; q = t + 19; z = x + 11. If i = 1, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 11 to f, which gives f = x + 21.\n2. Substitute x = q + 18 to f, which gives f = q + 39.\n3. Substitute q = t + 19 to f, which gives f = t + 58.\n4. Substitute t = r + 15 to f, which gives f = r + 73.\n5. Substitute r = i + 17 to f, which gives f = i + 90.\n6. Substitute i = 1 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 12142,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 10; j = w + 8; b = m + 3; i = 1; m = g + 20; r = i + 17; p = b + 11; t = r + 15; x = q + 18; g = i + 5; w = p + 20; q = t + 19; z = x + 11. If i = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 8", "e": "m + 14", "j": "e + 20", "a": "j + 14", "d": "a + 3", "q": "d + 17", "p": "h + 3", "o": "p + 5", "f": "o + 6", "c": "f + 17", "y": "c + 11", "u": "y + 18", "h": 16}, "premises": {"h": 16}, "target": "q"}, "answer": {"steps": [["d", "a + 3", "a + 20"], ["a", "j + 14", "j + 34"], ["j", "e + 20", "e + 54"], ["e", "m + 14", "m + 68"], ["m", "h + 8", "h + 76"], ["h", 16, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"h": 16}, "is_reverse": true}} | 12,143 | 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 = a + 3; c = f + 17; p = h + 3; o = p + 5; f = o + 6; h = 16; e = m + 14; j = e + 20; m = h + 8; u = y + 18; q = d + 17; y = c + 11; a = j + 14. If h = 16, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 3 to q, which gives q = a + 20.\n2. Substitute a = j + 14 to q, which gives q = j + 34.\n3. Substitute j = e + 20 to q, which gives q = e + 54.\n4. Substitute e = m + 14 to q, which gives q = m + 68.\n5. Substitute m = h + 8 to q, which gives q = h + 76.\n6. Substitute h = 16 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 12143,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 3; c = f + 17; p = h + 3; o = p + 5; f = o + 6; h = 16; e = m + 14; j = e + 20; m = h + 8; u = y + 18; q = d + 17; y = c + 11; a = j + 14. If h = 16, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 8", "w": "l + 19", "e": "w + 10", "j": "e + 15", "s": "j + 12", "b": "s + 3", "f": "z + 6", "m": "f + 1", "v": "m + 3", "o": "v + 5", "t": "o + 3", "r": "t + 1", "z": 19}, "premises": {"z": 19}, "target": "b"}, "answer": {"steps": [["s", "j + 12", "j + 15"], ["j", "e + 15", "e + 30"], ["e", "w + 10", "w + 40"], ["w", "l + 19", "l + 59"], ["l", "z + 8", "z + 67"], ["z", 19, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"z": 19}, "is_reverse": true}} | 12,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 1; j = e + 15; z = 19; e = w + 10; v = m + 3; t = o + 3; m = f + 1; w = l + 19; l = z + 8; f = z + 6; s = j + 12; b = s + 3; o = v + 5. If z = 19, 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 s = j + 12 to b, which gives b = j + 15.\n2. Substitute j = e + 15 to b, which gives b = e + 30.\n3. Substitute e = w + 10 to b, which gives b = w + 40.\n4. Substitute w = l + 19 to b, which gives b = l + 59.\n5. Substitute l = z + 8 to b, which gives b = z + 67.\n6. Substitute z = 19 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 12144,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 1; j = e + 15; z = 19; e = w + 10; v = m + 3; t = o + 3; m = f + 1; w = l + 19; l = z + 8; f = z + 6; s = j + 12; b = s + 3; o = v + 5. If z = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 8", "h": "f + 4", "l": "h + 1", "v": "l + 3", "d": "v + 16", "r": "d + 17", "e": "j + 18", "p": "e + 8", "x": "p + 20", "s": "x + 5", "m": "s + 1", "z": "m + 19", "j": 5}, "premises": {"j": 5}, "target": "r"}, "answer": {"steps": [["d", "v + 16", "v + 33"], ["v", "l + 3", "l + 36"], ["l", "h + 1", "h + 37"], ["h", "f + 4", "f + 41"], ["f", "j + 8", "j + 49"], ["j", 5, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"j": 5}, "is_reverse": true}} | 12,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 16; v = l + 3; z = m + 19; x = p + 20; l = h + 1; m = s + 1; s = x + 5; h = f + 4; r = d + 17; p = e + 8; f = j + 8; j = 5; e = j + 18. Given that j = 5, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 16 to r, which gives r = v + 33.\n2. Substitute v = l + 3 to r, which gives r = l + 36.\n3. Substitute l = h + 1 to r, which gives r = h + 37.\n4. Substitute h = f + 4 to r, which gives r = f + 41.\n5. Substitute f = j + 8 to r, which gives r = j + 49.\n6. Substitute j = 5 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 12145,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 16; v = l + 3; z = m + 19; x = p + 20; l = h + 1; m = s + 1; s = x + 5; h = f + 4; r = d + 17; p = e + 8; f = j + 8; j = 5; e = j + 18. Given that j = 5, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 4", "w": "k + 4", "h": "w + 2", "v": "h + 9", "f": "v + 4", "x": "f + 19", "c": "l + 11", "n": "c + 5", "o": "n + 17", "p": "o + 14", "z": "p + 11", "i": "z + 6", "l": 7}, "premises": {"l": 7}, "target": "x"}, "answer": {"steps": [["f", "v + 4", "v + 23"], ["v", "h + 9", "h + 32"], ["h", "w + 2", "w + 34"], ["w", "k + 4", "k + 38"], ["k", "l + 4", "l + 42"], ["l", 7, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"l": 7}, "is_reverse": true}} | 12,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 4; c = l + 11; v = h + 9; w = k + 4; l = 7; k = l + 4; p = o + 14; x = f + 19; h = w + 2; i = z + 6; z = p + 11; o = n + 17; n = c + 5. If l = 7, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 4 to x, which gives x = v + 23.\n2. Substitute v = h + 9 to x, which gives x = h + 32.\n3. Substitute h = w + 2 to x, which gives x = w + 34.\n4. Substitute w = k + 4 to x, which gives x = k + 38.\n5. Substitute k = l + 4 to x, which gives x = l + 42.\n6. Substitute l = 7 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 12146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 4; c = l + 11; v = h + 9; w = k + 4; l = 7; k = l + 4; p = o + 14; x = f + 19; h = w + 2; i = z + 6; z = p + 11; o = n + 17; n = c + 5. If l = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 10", "w": "t + 1", "p": "w + 7", "v": "p + 17", "y": "v + 15", "x": "y + 18", "a": "k + 7", "r": "a + 4", "d": "r + 4", "h": "d + 12", "u": "h + 14", "m": "u + 13", "k": 3}, "premises": {"k": 3}, "target": "x"}, "answer": {"steps": [["y", "v + 15", "v + 33"], ["v", "p + 17", "p + 50"], ["p", "w + 7", "w + 57"], ["w", "t + 1", "t + 58"], ["t", "k + 10", "k + 68"], ["k", 3, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"k": 3}, "is_reverse": true}} | 12,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 14; h = d + 12; a = k + 7; d = r + 4; k = 3; t = k + 10; x = y + 18; y = v + 15; m = u + 13; w = t + 1; v = p + 17; r = a + 4; p = w + 7. Given that k = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 15 to x, which gives x = v + 33.\n2. Substitute v = p + 17 to x, which gives x = p + 50.\n3. Substitute p = w + 7 to x, which gives x = w + 57.\n4. Substitute w = t + 1 to x, which gives x = t + 58.\n5. Substitute t = k + 10 to x, which gives x = k + 68.\n6. Substitute k = 3 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 12147,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 14; h = d + 12; a = k + 7; d = r + 4; k = 3; t = k + 10; x = y + 18; y = v + 15; m = u + 13; w = t + 1; v = p + 17; r = a + 4; p = w + 7. Given that k = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 20", "h": "t + 11", "k": "h + 20", "v": "k + 8", "r": "v + 1", "i": "r + 18", "m": "y + 8", "w": "m + 10", "l": "w + 2", "o": "l + 17", "q": "o + 4", "d": "q + 7", "y": 10}, "premises": {"y": 10}, "target": "i"}, "answer": {"steps": [["r", "v + 1", "v + 19"], ["v", "k + 8", "k + 27"], ["k", "h + 20", "h + 47"], ["h", "t + 11", "t + 58"], ["t", "y + 20", "y + 78"], ["y", 10, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"y": 10}, "is_reverse": true}} | 12,148 | 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 + 17; r = v + 1; i = r + 18; k = h + 20; l = w + 2; w = m + 10; y = 10; d = q + 7; t = y + 20; h = t + 11; q = o + 4; m = y + 8; v = k + 8. If y = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to i, which gives i = v + 19.\n2. Substitute v = k + 8 to i, which gives i = k + 27.\n3. Substitute k = h + 20 to i, which gives i = h + 47.\n4. Substitute h = t + 11 to i, which gives i = t + 58.\n5. Substitute t = y + 20 to i, which gives i = y + 78.\n6. Substitute y = 10 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 12148,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 17; r = v + 1; i = r + 18; k = h + 20; l = w + 2; w = m + 10; y = 10; d = q + 7; t = y + 20; h = t + 11; q = o + 4; m = y + 8; v = k + 8. If y = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 5", "i": "c + 9", "s": "i + 16", "d": "s + 5", "z": "d + 2", "g": "z + 16", "o": "a + 14", "v": "o + 12", "x": "v + 18", "e": "x + 19", "t": "e + 20", "n": "t + 4", "a": 6}, "premises": {"a": 6}, "target": "g"}, "answer": {"steps": [["z", "d + 2", "d + 18"], ["d", "s + 5", "s + 23"], ["s", "i + 16", "i + 39"], ["i", "c + 9", "c + 48"], ["c", "a + 5", "a + 53"], ["a", 6, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"a": 6}, "is_reverse": true}} | 12,149 | 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 = a + 5; t = e + 20; v = o + 12; a = 6; x = v + 18; z = d + 2; e = x + 19; d = s + 5; o = a + 14; n = t + 4; s = i + 16; i = c + 9; g = z + 16. If a = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 2 to g, which gives g = d + 18.\n2. Substitute d = s + 5 to g, which gives g = s + 23.\n3. Substitute s = i + 16 to g, which gives g = i + 39.\n4. Substitute i = c + 9 to g, which gives g = c + 48.\n5. Substitute c = a + 5 to g, which gives g = a + 53.\n6. Substitute a = 6 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 12149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 5; t = e + 20; v = o + 12; a = 6; x = v + 18; z = d + 2; e = x + 19; d = s + 5; o = a + 14; n = t + 4; s = i + 16; i = c + 9; g = z + 16. If a = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 4", "b": "y + 7", "n": "b + 15", "o": "n + 10", "u": "o + 15", "p": "u + 2", "h": "j + 6", "e": "h + 11", "f": "e + 14", "w": "f + 10", "v": "w + 11", "z": "v + 3", "j": 12}, "premises": {"j": 12}, "target": "p"}, "answer": {"steps": [["u", "o + 15", "o + 17"], ["o", "n + 10", "n + 27"], ["n", "b + 15", "b + 42"], ["b", "y + 7", "y + 49"], ["y", "j + 4", "j + 53"], ["j", 12, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"j": 12}, "is_reverse": true}} | 12,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 15; j = 12; p = u + 2; e = h + 11; h = j + 6; w = f + 10; u = o + 15; b = y + 7; f = e + 14; z = v + 3; o = n + 10; v = w + 11; y = j + 4. Given that j = 12, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 15 to p, which gives p = o + 17.\n2. Substitute o = n + 10 to p, which gives p = n + 27.\n3. Substitute n = b + 15 to p, which gives p = b + 42.\n4. Substitute b = y + 7 to p, which gives p = y + 49.\n5. Substitute y = j + 4 to p, which gives p = j + 53.\n6. Substitute j = 12 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 12150,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 15; j = 12; p = u + 2; e = h + 11; h = j + 6; w = f + 10; u = o + 15; b = y + 7; f = e + 14; z = v + 3; o = n + 10; v = w + 11; y = j + 4. Given that j = 12, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 5", "d": "c + 8", "n": "d + 19", "v": "n + 12", "g": "v + 18", "e": "g + 11", "m": "t + 19", "f": "m + 16", "l": "f + 17", "j": "l + 20", "w": "j + 10", "r": "w + 11", "t": 4}, "premises": {"t": 4}, "target": "e"}, "answer": {"steps": [["g", "v + 18", "v + 29"], ["v", "n + 12", "n + 41"], ["n", "d + 19", "d + 60"], ["d", "c + 8", "c + 68"], ["c", "t + 5", "t + 73"], ["t", 4, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"t": 4}, "is_reverse": true}} | 12,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 11; d = c + 8; v = n + 12; l = f + 17; r = w + 11; t = 4; n = d + 19; f = m + 16; g = v + 18; w = j + 10; j = l + 20; m = t + 19; c = t + 5. Given that t = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 18 to e, which gives e = v + 29.\n2. Substitute v = n + 12 to e, which gives e = n + 41.\n3. Substitute n = d + 19 to e, which gives e = d + 60.\n4. Substitute d = c + 8 to e, which gives e = c + 68.\n5. Substitute c = t + 5 to e, which gives e = t + 73.\n6. Substitute t = 4 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 12151,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 11; d = c + 8; v = n + 12; l = f + 17; r = w + 11; t = 4; n = d + 19; f = m + 16; g = v + 18; w = j + 10; j = l + 20; m = t + 19; c = t + 5. Given that t = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 16", "r": "g + 16", "u": "r + 11", "k": "u + 17", "i": "k + 7", "o": "i + 8", "d": "b + 16", "p": "d + 10", "x": "p + 15", "t": "x + 15", "c": "t + 19", "w": "c + 3", "b": 4}, "premises": {"b": 4}, "target": "o"}, "answer": {"steps": [["i", "k + 7", "k + 15"], ["k", "u + 17", "u + 32"], ["u", "r + 11", "r + 43"], ["r", "g + 16", "g + 59"], ["g", "b + 16", "b + 75"], ["b", 4, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"b": 4}, "is_reverse": true}} | 12,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 10; u = r + 11; r = g + 16; c = t + 19; d = b + 16; x = p + 15; w = c + 3; o = i + 8; b = 4; t = x + 15; g = b + 16; k = u + 17; i = k + 7. Given that b = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 7 to o, which gives o = k + 15.\n2. Substitute k = u + 17 to o, which gives o = u + 32.\n3. Substitute u = r + 11 to o, which gives o = r + 43.\n4. Substitute r = g + 16 to o, which gives o = g + 59.\n5. Substitute g = b + 16 to o, which gives o = b + 75.\n6. Substitute b = 4 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 12152,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 10; u = r + 11; r = g + 16; c = t + 19; d = b + 16; x = p + 15; w = c + 3; o = i + 8; b = 4; t = x + 15; g = b + 16; k = u + 17; i = k + 7. Given that b = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 4", "t": "v + 14", "m": "t + 2", "g": "m + 8", "y": "g + 15", "l": "y + 4", "p": "f + 2", "h": "p + 20", "z": "h + 8", "q": "z + 14", "i": "q + 12", "o": "i + 15", "f": 8}, "premises": {"f": 8}, "target": "l"}, "answer": {"steps": [["y", "g + 15", "g + 19"], ["g", "m + 8", "m + 27"], ["m", "t + 2", "t + 29"], ["t", "v + 14", "v + 43"], ["v", "f + 4", "f + 47"], ["f", 8, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"f": 8}, "is_reverse": true}} | 12,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = h + 8; q = z + 14; g = m + 8; y = g + 15; i = q + 12; m = t + 2; p = f + 2; h = p + 20; f = 8; l = y + 4; t = v + 14; o = i + 15; v = f + 4. If f = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 15 to l, which gives l = g + 19.\n2. Substitute g = m + 8 to l, which gives l = m + 27.\n3. Substitute m = t + 2 to l, which gives l = t + 29.\n4. Substitute t = v + 14 to l, which gives l = v + 43.\n5. Substitute v = f + 4 to l, which gives l = f + 47.\n6. Substitute f = 8 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 12153,
"question": "Consider a system of variables where each variable is defined as follows: z = h + 8; q = z + 14; g = m + 8; y = g + 15; i = q + 12; m = t + 2; p = f + 2; h = p + 20; f = 8; l = y + 4; t = v + 14; o = i + 15; v = f + 4. If f = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 19", "r": "m + 10", "a": "r + 10", "f": "a + 3", "k": "f + 18", "o": "k + 18", "v": "e + 7", "w": "v + 18", "z": "w + 8", "h": "z + 12", "g": "h + 19", "d": "g + 17", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["k", "f + 18", "f + 36"], ["f", "a + 3", "a + 39"], ["a", "r + 10", "r + 49"], ["r", "m + 10", "m + 59"], ["m", "e + 19", "e + 78"], ["e", 3, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"e": 3}, "is_reverse": true}} | 12,154 | 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 = 3; a = r + 10; o = k + 18; m = e + 19; k = f + 18; z = w + 8; f = a + 3; v = e + 7; d = g + 17; g = h + 19; w = v + 18; r = m + 10; h = z + 12. If e = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 18 to o, which gives o = f + 36.\n2. Substitute f = a + 3 to o, which gives o = a + 39.\n3. Substitute a = r + 10 to o, which gives o = r + 49.\n4. Substitute r = m + 10 to o, which gives o = m + 59.\n5. Substitute m = e + 19 to o, which gives o = e + 78.\n6. Substitute e = 3 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 12154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 3; a = r + 10; o = k + 18; m = e + 19; k = f + 18; z = w + 8; f = a + 3; v = e + 7; d = g + 17; g = h + 19; w = v + 18; r = m + 10; h = z + 12. If e = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 16", "w": "o + 3", "e": "w + 16", "b": "e + 18", "r": "b + 6", "k": "r + 20", "i": "c + 5", "s": "i + 5", "l": "s + 6", "a": "l + 12", "m": "a + 7", "g": "m + 16", "c": 9}, "premises": {"c": 9}, "target": "k"}, "answer": {"steps": [["r", "b + 6", "b + 26"], ["b", "e + 18", "e + 44"], ["e", "w + 16", "w + 60"], ["w", "o + 3", "o + 63"], ["o", "c + 16", "c + 79"], ["c", 9, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"c": 9}, "is_reverse": true}} | 12,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = m + 16; w = o + 3; m = a + 7; e = w + 16; o = c + 16; a = l + 12; r = b + 6; k = r + 20; l = s + 6; i = c + 5; b = e + 18; s = i + 5; c = 9. Given that c = 9, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 6 to k, which gives k = b + 26.\n2. Substitute b = e + 18 to k, which gives k = e + 44.\n3. Substitute e = w + 16 to k, which gives k = w + 60.\n4. Substitute w = o + 3 to k, which gives k = o + 63.\n5. Substitute o = c + 16 to k, which gives k = c + 79.\n6. Substitute c = 9 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 12155,
"question": "Suppose a collection of variables is related by the following definitions: g = m + 16; w = o + 3; m = a + 7; e = w + 16; o = c + 16; a = l + 12; r = b + 6; k = r + 20; l = s + 6; i = c + 5; b = e + 18; s = i + 5; c = 9. Given that c = 9, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 8", "q": "h + 10", "g": "q + 6", "d": "g + 4", "p": "d + 14", "n": "p + 4", "i": "x + 16", "k": "i + 9", "w": "k + 6", "y": "w + 2", "c": "y + 4", "a": "c + 19", "x": 20}, "premises": {"x": 20}, "target": "n"}, "answer": {"steps": [["p", "d + 14", "d + 18"], ["d", "g + 4", "g + 22"], ["g", "q + 6", "q + 28"], ["q", "h + 10", "h + 38"], ["h", "x + 8", "x + 46"], ["x", 20, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"x": 20}, "is_reverse": true}} | 12,156 | 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 + 19; x = 20; g = q + 6; w = k + 6; d = g + 4; k = i + 9; c = y + 4; y = w + 2; n = p + 4; p = d + 14; i = x + 16; q = h + 10; h = x + 8. If x = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 14 to n, which gives n = d + 18.\n2. Substitute d = g + 4 to n, which gives n = g + 22.\n3. Substitute g = q + 6 to n, which gives n = q + 28.\n4. Substitute q = h + 10 to n, which gives n = h + 38.\n5. Substitute h = x + 8 to n, which gives n = x + 46.\n6. Substitute x = 20 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 12156,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 19; x = 20; g = q + 6; w = k + 6; d = g + 4; k = i + 9; c = y + 4; y = w + 2; n = p + 4; p = d + 14; i = x + 16; q = h + 10; h = x + 8. If x = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 16", "g": "d + 20", "o": "g + 6", "l": "o + 11", "b": "l + 5", "s": "b + 9", "c": "h + 19", "r": "c + 7", "k": "r + 17", "n": "k + 4", "j": "n + 15", "v": "j + 8", "h": 10}, "premises": {"h": 10}, "target": "s"}, "answer": {"steps": [["b", "l + 5", "l + 14"], ["l", "o + 11", "o + 25"], ["o", "g + 6", "g + 31"], ["g", "d + 20", "d + 51"], ["d", "h + 16", "h + 67"], ["h", 10, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"h": 10}, "is_reverse": true}} | 12,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 19; g = d + 20; v = j + 8; r = c + 7; n = k + 4; d = h + 16; h = 10; s = b + 9; k = r + 17; j = n + 15; l = o + 11; b = l + 5; o = g + 6. Given that h = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 5 to s, which gives s = l + 14.\n2. Substitute l = o + 11 to s, which gives s = o + 25.\n3. Substitute o = g + 6 to s, which gives s = g + 31.\n4. Substitute g = d + 20 to s, which gives s = d + 51.\n5. Substitute d = h + 16 to s, which gives s = h + 67.\n6. Substitute h = 10 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 12157,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 19; g = d + 20; v = j + 8; r = c + 7; n = k + 4; d = h + 16; h = 10; s = b + 9; k = r + 17; j = n + 15; l = o + 11; b = l + 5; o = g + 6. Given that h = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 3", "l": "k + 3", "c": "l + 10", "h": "c + 17", "t": "h + 12", "r": "t + 20", "n": "o + 2", "g": "n + 18", "d": "g + 8", "p": "d + 19", "m": "p + 14", "a": "m + 11", "o": 10}, "premises": {"o": 10}, "target": "r"}, "answer": {"steps": [["t", "h + 12", "h + 32"], ["h", "c + 17", "c + 49"], ["c", "l + 10", "l + 59"], ["l", "k + 3", "k + 62"], ["k", "o + 3", "o + 65"], ["o", 10, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"o": 10}, "is_reverse": true}} | 12,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 8; o = 10; h = c + 17; g = n + 18; k = o + 3; m = p + 14; r = t + 20; t = h + 12; l = k + 3; c = l + 10; a = m + 11; p = d + 19; n = o + 2. Given that o = 10, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 12 to r, which gives r = h + 32.\n2. Substitute h = c + 17 to r, which gives r = c + 49.\n3. Substitute c = l + 10 to r, which gives r = l + 59.\n4. Substitute l = k + 3 to r, which gives r = k + 62.\n5. Substitute k = o + 3 to r, which gives r = o + 65.\n6. Substitute o = 10 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 12158,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 8; o = 10; h = c + 17; g = n + 18; k = o + 3; m = p + 14; r = t + 20; t = h + 12; l = k + 3; c = l + 10; a = m + 11; p = d + 19; n = o + 2. Given that o = 10, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 19", "m": "r + 20", "x": "m + 6", "p": "x + 20", "v": "p + 9", "h": "v + 2", "q": "d + 19", "y": "q + 16", "s": "y + 2", "a": "s + 13", "l": "a + 7", "u": "l + 2", "d": 7}, "premises": {"d": 7}, "target": "h"}, "answer": {"steps": [["v", "p + 9", "p + 11"], ["p", "x + 20", "x + 31"], ["x", "m + 6", "m + 37"], ["m", "r + 20", "r + 57"], ["r", "d + 19", "d + 76"], ["d", 7, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"d": 7}, "is_reverse": true}} | 12,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 7; m = r + 20; s = y + 2; y = q + 16; x = m + 6; p = x + 20; a = s + 13; v = p + 9; h = v + 2; r = d + 19; u = l + 2; l = a + 7; q = d + 19. Given that d = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 9 to h, which gives h = p + 11.\n2. Substitute p = x + 20 to h, which gives h = x + 31.\n3. Substitute x = m + 6 to h, which gives h = m + 37.\n4. Substitute m = r + 20 to h, which gives h = r + 57.\n5. Substitute r = d + 19 to h, which gives h = d + 76.\n6. Substitute d = 7 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 12159,
"question": "Suppose a collection of variables is related by the following definitions: d = 7; m = r + 20; s = y + 2; y = q + 16; x = m + 6; p = x + 20; a = s + 13; v = p + 9; h = v + 2; r = d + 19; u = l + 2; l = a + 7; q = d + 19. Given that d = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 14", "k": "x + 20", "e": "k + 7", "p": "e + 6", "b": "p + 13", "q": "b + 17", "h": "y + 6", "n": "h + 6", "o": "n + 15", "z": "o + 2", "j": "z + 3", "a": "j + 5", "y": 15}, "premises": {"y": 15}, "target": "q"}, "answer": {"steps": [["b", "p + 13", "p + 30"], ["p", "e + 6", "e + 36"], ["e", "k + 7", "k + 43"], ["k", "x + 20", "x + 63"], ["x", "y + 14", "y + 77"], ["y", 15, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"y": 15}, "is_reverse": true}} | 12,160 | 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 = y + 6; e = k + 7; a = j + 5; z = o + 2; n = h + 6; j = z + 3; k = x + 20; y = 15; q = b + 17; x = y + 14; p = e + 6; b = p + 13; o = n + 15. If y = 15, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 13 to q, which gives q = p + 30.\n2. Substitute p = e + 6 to q, which gives q = e + 36.\n3. Substitute e = k + 7 to q, which gives q = k + 43.\n4. Substitute k = x + 20 to q, which gives q = x + 63.\n5. Substitute x = y + 14 to q, which gives q = y + 77.\n6. Substitute y = 15 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 12160,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 6; e = k + 7; a = j + 5; z = o + 2; n = h + 6; j = z + 3; k = x + 20; y = 15; q = b + 17; x = y + 14; p = e + 6; b = p + 13; o = n + 15. If y = 15, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 5", "i": "l + 11", "c": "i + 4", "p": "c + 15", "g": "p + 6", "o": "g + 3", "k": "w + 1", "n": "k + 19", "t": "n + 13", "h": "t + 15", "s": "h + 5", "q": "s + 1", "w": 9}, "premises": {"w": 9}, "target": "o"}, "answer": {"steps": [["g", "p + 6", "p + 9"], ["p", "c + 15", "c + 24"], ["c", "i + 4", "i + 28"], ["i", "l + 11", "l + 39"], ["l", "w + 5", "w + 44"], ["w", 9, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"w": 9}, "is_reverse": true}} | 12,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 9; n = k + 19; o = g + 3; c = i + 4; t = n + 13; p = c + 15; l = w + 5; h = t + 15; k = w + 1; s = h + 5; g = p + 6; q = s + 1; i = l + 11. If w = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 6 to o, which gives o = p + 9.\n2. Substitute p = c + 15 to o, which gives o = c + 24.\n3. Substitute c = i + 4 to o, which gives o = i + 28.\n4. Substitute i = l + 11 to o, which gives o = l + 39.\n5. Substitute l = w + 5 to o, which gives o = w + 44.\n6. Substitute w = 9 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 12161,
"question": "Consider a system of variables where each variable is defined as follows: w = 9; n = k + 19; o = g + 3; c = i + 4; t = n + 13; p = c + 15; l = w + 5; h = t + 15; k = w + 1; s = h + 5; g = p + 6; q = s + 1; i = l + 11. If w = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 4", "j": "k + 14", "t": "j + 2", "x": "t + 12", "g": "x + 16", "y": "g + 2", "m": "a + 17", "s": "m + 8", "c": "s + 1", "e": "c + 4", "v": "e + 17", "z": "v + 16", "a": 9}, "premises": {"a": 9}, "target": "y"}, "answer": {"steps": [["g", "x + 16", "x + 18"], ["x", "t + 12", "t + 30"], ["t", "j + 2", "j + 32"], ["j", "k + 14", "k + 46"], ["k", "a + 4", "a + 50"], ["a", 9, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"a": 9}, "is_reverse": true}} | 12,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = e + 17; t = j + 2; x = t + 12; s = m + 8; k = a + 4; j = k + 14; e = c + 4; a = 9; c = s + 1; z = v + 16; g = x + 16; m = a + 17; y = g + 2. Given that a = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 16 to y, which gives y = x + 18.\n2. Substitute x = t + 12 to y, which gives y = t + 30.\n3. Substitute t = j + 2 to y, which gives y = j + 32.\n4. Substitute j = k + 14 to y, which gives y = k + 46.\n5. Substitute k = a + 4 to y, which gives y = a + 50.\n6. Substitute a = 9 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 12162,
"question": "Suppose a collection of variables is related by the following definitions: v = e + 17; t = j + 2; x = t + 12; s = m + 8; k = a + 4; j = k + 14; e = c + 4; a = 9; c = s + 1; z = v + 16; g = x + 16; m = a + 17; y = g + 2. Given that a = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 13", "k": "h + 8", "e": "k + 17", "j": "e + 15", "z": "j + 3", "q": "z + 13", "n": "p + 11", "t": "n + 6", "y": "t + 18", "a": "y + 12", "o": "a + 11", "g": "o + 13", "p": 16}, "premises": {"p": 16}, "target": "q"}, "answer": {"steps": [["z", "j + 3", "j + 16"], ["j", "e + 15", "e + 31"], ["e", "k + 17", "k + 48"], ["k", "h + 8", "h + 56"], ["h", "p + 13", "p + 69"], ["p", 16, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"p": 16}, "is_reverse": true}} | 12,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 18; q = z + 13; h = p + 13; t = n + 6; p = 16; e = k + 17; o = a + 11; a = y + 12; g = o + 13; j = e + 15; n = p + 11; z = j + 3; k = h + 8. Given that p = 16, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 3 to q, which gives q = j + 16.\n2. Substitute j = e + 15 to q, which gives q = e + 31.\n3. Substitute e = k + 17 to q, which gives q = k + 48.\n4. Substitute k = h + 8 to q, which gives q = h + 56.\n5. Substitute h = p + 13 to q, which gives q = p + 69.\n6. Substitute p = 16 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 12163,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 18; q = z + 13; h = p + 13; t = n + 6; p = 16; e = k + 17; o = a + 11; a = y + 12; g = o + 13; j = e + 15; n = p + 11; z = j + 3; k = h + 8. Given that p = 16, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 18", "t": "c + 14", "w": "t + 12", "s": "w + 1", "a": "s + 6", "f": "a + 11", "r": "l + 18", "x": "r + 10", "p": "x + 1", "v": "p + 14", "z": "v + 5", "u": "z + 14", "l": 3}, "premises": {"l": 3}, "target": "f"}, "answer": {"steps": [["a", "s + 6", "s + 17"], ["s", "w + 1", "w + 18"], ["w", "t + 12", "t + 30"], ["t", "c + 14", "c + 44"], ["c", "l + 18", "l + 62"], ["l", 3, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"l": 3}, "is_reverse": true}} | 12,164 | 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 + 10; u = z + 14; p = x + 1; l = 3; f = a + 11; a = s + 6; v = p + 14; z = v + 5; c = l + 18; w = t + 12; r = l + 18; s = w + 1; t = c + 14. If l = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 6 to f, which gives f = s + 17.\n2. Substitute s = w + 1 to f, which gives f = w + 18.\n3. Substitute w = t + 12 to f, which gives f = t + 30.\n4. Substitute t = c + 14 to f, which gives f = c + 44.\n5. Substitute c = l + 18 to f, which gives f = l + 62.\n6. Substitute l = 3 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 12164,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 10; u = z + 14; p = x + 1; l = 3; f = a + 11; a = s + 6; v = p + 14; z = v + 5; c = l + 18; w = t + 12; r = l + 18; s = w + 1; t = c + 14. If l = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 19", "s": "q + 19", "e": "s + 7", "t": "e + 2", "y": "t + 1", "b": "y + 20", "p": "m + 17", "l": "p + 13", "n": "l + 19", "c": "n + 7", "h": "c + 15", "v": "h + 9", "m": 13}, "premises": {"m": 13}, "target": "b"}, "answer": {"steps": [["y", "t + 1", "t + 21"], ["t", "e + 2", "e + 23"], ["e", "s + 7", "s + 30"], ["s", "q + 19", "q + 49"], ["q", "m + 19", "m + 68"], ["m", 13, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"m": 13}, "is_reverse": true}} | 12,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 9; p = m + 17; m = 13; n = l + 19; s = q + 19; c = n + 7; l = p + 13; t = e + 2; y = t + 1; e = s + 7; q = m + 19; h = c + 15; b = y + 20. If m = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 1 to b, which gives b = t + 21.\n2. Substitute t = e + 2 to b, which gives b = e + 23.\n3. Substitute e = s + 7 to b, which gives b = s + 30.\n4. Substitute s = q + 19 to b, which gives b = q + 49.\n5. Substitute q = m + 19 to b, which gives b = m + 68.\n6. Substitute m = 13 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 12165,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 9; p = m + 17; m = 13; n = l + 19; s = q + 19; c = n + 7; l = p + 13; t = e + 2; y = t + 1; e = s + 7; q = m + 19; h = c + 15; b = y + 20. If m = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 2", "a": "r + 13", "k": "a + 1", "u": "k + 9", "h": "u + 13", "l": "h + 11", "d": "v + 12", "x": "d + 6", "j": "x + 10", "s": "j + 16", "g": "s + 20", "i": "g + 15", "v": 7}, "premises": {"v": 7}, "target": "l"}, "answer": {"steps": [["h", "u + 13", "u + 24"], ["u", "k + 9", "k + 33"], ["k", "a + 1", "a + 34"], ["a", "r + 13", "r + 47"], ["r", "v + 2", "v + 49"], ["v", 7, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"v": 7}, "is_reverse": true}} | 12,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = j + 16; x = d + 6; j = x + 10; g = s + 20; r = v + 2; i = g + 15; v = 7; h = u + 13; a = r + 13; l = h + 11; k = a + 1; d = v + 12; u = k + 9. If v = 7, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 13 to l, which gives l = u + 24.\n2. Substitute u = k + 9 to l, which gives l = k + 33.\n3. Substitute k = a + 1 to l, which gives l = a + 34.\n4. Substitute a = r + 13 to l, which gives l = r + 47.\n5. Substitute r = v + 2 to l, which gives l = v + 49.\n6. Substitute v = 7 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 12166,
"question": "Consider a system of variables where each variable is defined as follows: s = j + 16; x = d + 6; j = x + 10; g = s + 20; r = v + 2; i = g + 15; v = 7; h = u + 13; a = r + 13; l = h + 11; k = a + 1; d = v + 12; u = k + 9. If v = 7, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 15", "t": "s + 14", "o": "t + 9", "g": "o + 6", "z": "g + 15", "f": "z + 9", "c": "n + 14", "k": "c + 6", "e": "k + 9", "y": "e + 14", "b": "y + 13", "h": "b + 9", "n": 18}, "premises": {"n": 18}, "target": "f"}, "answer": {"steps": [["z", "g + 15", "g + 24"], ["g", "o + 6", "o + 30"], ["o", "t + 9", "t + 39"], ["t", "s + 14", "s + 53"], ["s", "n + 15", "n + 68"], ["n", 18, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"n": 18}, "is_reverse": true}} | 12,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 6; e = k + 9; f = z + 9; c = n + 14; h = b + 9; z = g + 15; o = t + 9; s = n + 15; y = e + 14; n = 18; k = c + 6; t = s + 14; b = y + 13. Given that n = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 15 to f, which gives f = g + 24.\n2. Substitute g = o + 6 to f, which gives f = o + 30.\n3. Substitute o = t + 9 to f, which gives f = t + 39.\n4. Substitute t = s + 14 to f, which gives f = s + 53.\n5. Substitute s = n + 15 to f, which gives f = n + 68.\n6. Substitute n = 18 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 12167,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 6; e = k + 9; f = z + 9; c = n + 14; h = b + 9; z = g + 15; o = t + 9; s = n + 15; y = e + 14; n = 18; k = c + 6; t = s + 14; b = y + 13. Given that n = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 13", "q": "v + 9", "i": "q + 17", "g": "i + 16", "s": "g + 9", "a": "s + 1", "x": "t + 4", "d": "x + 15", "o": "d + 9", "z": "o + 13", "w": "z + 2", "e": "w + 8", "t": 8}, "premises": {"t": 8}, "target": "a"}, "answer": {"steps": [["s", "g + 9", "g + 10"], ["g", "i + 16", "i + 26"], ["i", "q + 17", "q + 43"], ["q", "v + 9", "v + 52"], ["v", "t + 13", "t + 65"], ["t", 8, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"t": 8}, "is_reverse": true}} | 12,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 8; a = s + 1; o = d + 9; s = g + 9; w = z + 2; v = t + 13; g = i + 16; i = q + 17; d = x + 15; e = w + 8; x = t + 4; z = o + 13; q = v + 9. Given that t = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 9 to a, which gives a = g + 10.\n2. Substitute g = i + 16 to a, which gives a = i + 26.\n3. Substitute i = q + 17 to a, which gives a = q + 43.\n4. Substitute q = v + 9 to a, which gives a = v + 52.\n5. Substitute v = t + 13 to a, which gives a = t + 65.\n6. Substitute t = 8 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 12168,
"question": "Suppose a collection of variables is related by the following definitions: t = 8; a = s + 1; o = d + 9; s = g + 9; w = z + 2; v = t + 13; g = i + 16; i = q + 17; d = x + 15; e = w + 8; x = t + 4; z = o + 13; q = v + 9. Given that t = 8, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 10", "f": "x + 14", "q": "f + 15", "k": "q + 17", "s": "k + 10", "p": "s + 2", "n": "m + 9", "d": "n + 14", "b": "d + 17", "v": "b + 15", "r": "v + 2", "t": "r + 11", "m": 2}, "premises": {"m": 2}, "target": "p"}, "answer": {"steps": [["s", "k + 10", "k + 12"], ["k", "q + 17", "q + 29"], ["q", "f + 15", "f + 44"], ["f", "x + 14", "x + 58"], ["x", "m + 10", "m + 68"], ["m", 2, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"m": 2}, "is_reverse": true}} | 12,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 10; f = x + 14; x = m + 10; q = f + 15; b = d + 17; t = r + 11; n = m + 9; p = s + 2; r = v + 2; k = q + 17; d = n + 14; v = b + 15; m = 2. If m = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 10 to p, which gives p = k + 12.\n2. Substitute k = q + 17 to p, which gives p = q + 29.\n3. Substitute q = f + 15 to p, which gives p = f + 44.\n4. Substitute f = x + 14 to p, which gives p = x + 58.\n5. Substitute x = m + 10 to p, which gives p = m + 68.\n6. Substitute m = 2 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 12169,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 10; f = x + 14; x = m + 10; q = f + 15; b = d + 17; t = r + 11; n = m + 9; p = s + 2; r = v + 2; k = q + 17; d = n + 14; v = b + 15; m = 2. If m = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 11", "b": "c + 19", "r": "b + 7", "u": "r + 16", "v": "u + 18", "n": "v + 3", "g": "o + 3", "y": "g + 14", "w": "y + 18", "i": "w + 18", "z": "i + 10", "t": "z + 13", "o": 11}, "premises": {"o": 11}, "target": "n"}, "answer": {"steps": [["v", "u + 18", "u + 21"], ["u", "r + 16", "r + 37"], ["r", "b + 7", "b + 44"], ["b", "c + 19", "c + 63"], ["c", "o + 11", "o + 74"], ["o", 11, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"o": 11}, "is_reverse": true}} | 12,170 | 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 = y + 18; t = z + 13; z = i + 10; u = r + 16; i = w + 18; g = o + 3; n = v + 3; y = g + 14; r = b + 7; b = c + 19; o = 11; v = u + 18; c = o + 11. If o = 11, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 18 to n, which gives n = u + 21.\n2. Substitute u = r + 16 to n, which gives n = r + 37.\n3. Substitute r = b + 7 to n, which gives n = b + 44.\n4. Substitute b = c + 19 to n, which gives n = c + 63.\n5. Substitute c = o + 11 to n, which gives n = o + 74.\n6. Substitute o = 11 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 12170,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = y + 18; t = z + 13; z = i + 10; u = r + 16; i = w + 18; g = o + 3; n = v + 3; y = g + 14; r = b + 7; b = c + 19; o = 11; v = u + 18; c = o + 11. If o = 11, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 14", "n": "p + 14", "x": "n + 14", "y": "x + 13", "r": "y + 19", "b": "r + 3", "g": "k + 4", "u": "g + 8", "m": "u + 15", "o": "m + 20", "f": "o + 10", "v": "f + 2", "k": 20}, "premises": {"k": 20}, "target": "b"}, "answer": {"steps": [["r", "y + 19", "y + 22"], ["y", "x + 13", "x + 35"], ["x", "n + 14", "n + 49"], ["n", "p + 14", "p + 63"], ["p", "k + 14", "k + 77"], ["k", 20, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"k": 20}, "is_reverse": true}} | 12,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 2; y = x + 13; b = r + 3; u = g + 8; p = k + 14; r = y + 19; f = o + 10; n = p + 14; o = m + 20; g = k + 4; k = 20; m = u + 15; x = n + 14. Given that k = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 19 to b, which gives b = y + 22.\n2. Substitute y = x + 13 to b, which gives b = x + 35.\n3. Substitute x = n + 14 to b, which gives b = n + 49.\n4. Substitute n = p + 14 to b, which gives b = p + 63.\n5. Substitute p = k + 14 to b, which gives b = k + 77.\n6. Substitute k = 20 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 12171,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 2; y = x + 13; b = r + 3; u = g + 8; p = k + 14; r = y + 19; f = o + 10; n = p + 14; o = m + 20; g = k + 4; k = 20; m = u + 15; x = n + 14. Given that k = 20, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 10", "c": "e + 4", "b": "c + 16", "v": "b + 20", "i": "v + 1", "q": "i + 5", "n": "u + 9", "y": "n + 7", "d": "y + 18", "j": "d + 3", "h": "j + 1", "t": "h + 9", "u": 4}, "premises": {"u": 4}, "target": "q"}, "answer": {"steps": [["i", "v + 1", "v + 6"], ["v", "b + 20", "b + 26"], ["b", "c + 16", "c + 42"], ["c", "e + 4", "e + 46"], ["e", "u + 10", "u + 56"], ["u", 4, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"u": 4}, "is_reverse": true}} | 12,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 9; u = 4; b = c + 16; q = i + 5; y = n + 7; d = y + 18; h = j + 1; e = u + 10; i = v + 1; v = b + 20; j = d + 3; n = u + 9; c = e + 4. If u = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 1 to q, which gives q = v + 6.\n2. Substitute v = b + 20 to q, which gives q = b + 26.\n3. Substitute b = c + 16 to q, which gives q = c + 42.\n4. Substitute c = e + 4 to q, which gives q = e + 46.\n5. Substitute e = u + 10 to q, which gives q = u + 56.\n6. Substitute u = 4 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 12172,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 9; u = 4; b = c + 16; q = i + 5; y = n + 7; d = y + 18; h = j + 1; e = u + 10; i = v + 1; v = b + 20; j = d + 3; n = u + 9; c = e + 4. If u = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 4", "x": "g + 3", "u": "x + 2", "q": "u + 15", "w": "q + 15", "v": "w + 15", "s": "i + 13", "z": "s + 8", "t": "z + 7", "b": "t + 18", "e": "b + 11", "j": "e + 3", "i": 6}, "premises": {"i": 6}, "target": "v"}, "answer": {"steps": [["w", "q + 15", "q + 30"], ["q", "u + 15", "u + 45"], ["u", "x + 2", "x + 47"], ["x", "g + 3", "g + 50"], ["g", "i + 4", "i + 54"], ["i", 6, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"i": 6}, "is_reverse": true}} | 12,173 | 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 = q + 15; z = s + 8; q = u + 15; b = t + 18; x = g + 3; g = i + 4; v = w + 15; e = b + 11; i = 6; j = e + 3; u = x + 2; t = z + 7; s = i + 13. If i = 6, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 15 to v, which gives v = q + 30.\n2. Substitute q = u + 15 to v, which gives v = u + 45.\n3. Substitute u = x + 2 to v, which gives v = x + 47.\n4. Substitute x = g + 3 to v, which gives v = g + 50.\n5. Substitute g = i + 4 to v, which gives v = i + 54.\n6. Substitute i = 6 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 12173,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 15; z = s + 8; q = u + 15; b = t + 18; x = g + 3; g = i + 4; v = w + 15; e = b + 11; i = 6; j = e + 3; u = x + 2; t = z + 7; s = i + 13. If i = 6, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 14", "z": "g + 6", "m": "z + 2", "j": "m + 11", "k": "j + 17", "a": "k + 20", "n": "f + 3", "d": "n + 19", "i": "d + 5", "c": "i + 19", "u": "c + 3", "x": "u + 11", "f": 2}, "premises": {"f": 2}, "target": "a"}, "answer": {"steps": [["k", "j + 17", "j + 37"], ["j", "m + 11", "m + 48"], ["m", "z + 2", "z + 50"], ["z", "g + 6", "g + 56"], ["g", "f + 14", "f + 70"], ["f", 2, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"f": 2}, "is_reverse": true}} | 12,174 | 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 = f + 3; j = m + 11; i = d + 5; f = 2; g = f + 14; z = g + 6; k = j + 17; x = u + 11; a = k + 20; u = c + 3; c = i + 19; m = z + 2; d = n + 19. If f = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 17 to a, which gives a = j + 37.\n2. Substitute j = m + 11 to a, which gives a = m + 48.\n3. Substitute m = z + 2 to a, which gives a = z + 50.\n4. Substitute z = g + 6 to a, which gives a = g + 56.\n5. Substitute g = f + 14 to a, which gives a = f + 70.\n6. Substitute f = 2 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 12174,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 3; j = m + 11; i = d + 5; f = 2; g = f + 14; z = g + 6; k = j + 17; x = u + 11; a = k + 20; u = c + 3; c = i + 19; m = z + 2; d = n + 19. If f = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 19", "k": "i + 1", "t": "k + 15", "j": "t + 1", "e": "j + 7", "g": "e + 4", "p": "a + 15", "x": "p + 19", "q": "x + 11", "l": "q + 9", "s": "l + 6", "d": "s + 20", "a": 11}, "premises": {"a": 11}, "target": "g"}, "answer": {"steps": [["e", "j + 7", "j + 11"], ["j", "t + 1", "t + 12"], ["t", "k + 15", "k + 27"], ["k", "i + 1", "i + 28"], ["i", "a + 19", "a + 47"], ["a", 11, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"a": 11}, "is_reverse": true}} | 12,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 7; t = k + 15; k = i + 1; q = x + 11; j = t + 1; s = l + 6; x = p + 19; p = a + 15; d = s + 20; a = 11; g = e + 4; i = a + 19; l = q + 9. If a = 11, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 7 to g, which gives g = j + 11.\n2. Substitute j = t + 1 to g, which gives g = t + 12.\n3. Substitute t = k + 15 to g, which gives g = k + 27.\n4. Substitute k = i + 1 to g, which gives g = i + 28.\n5. Substitute i = a + 19 to g, which gives g = a + 47.\n6. Substitute a = 11 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 12175,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 7; t = k + 15; k = i + 1; q = x + 11; j = t + 1; s = l + 6; x = p + 19; p = a + 15; d = s + 20; a = 11; g = e + 4; i = a + 19; l = q + 9. If a = 11, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 7", "x": "h + 5", "q": "x + 8", "w": "q + 20", "p": "w + 19", "n": "p + 15", "e": "m + 10", "r": "e + 4", "y": "r + 8", "u": "y + 11", "a": "u + 5", "t": "a + 10", "m": 6}, "premises": {"m": 6}, "target": "n"}, "answer": {"steps": [["p", "w + 19", "w + 34"], ["w", "q + 20", "q + 54"], ["q", "x + 8", "x + 62"], ["x", "h + 5", "h + 67"], ["h", "m + 7", "m + 74"], ["m", 6, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"m": 6}, "is_reverse": true}} | 12,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = m + 7; q = x + 8; e = m + 10; a = u + 5; p = w + 19; y = r + 8; x = h + 5; r = e + 4; u = y + 11; w = q + 20; n = p + 15; m = 6; t = a + 10. Given that m = 6, 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 p = w + 19 to n, which gives n = w + 34.\n2. Substitute w = q + 20 to n, which gives n = q + 54.\n3. Substitute q = x + 8 to n, which gives n = x + 62.\n4. Substitute x = h + 5 to n, which gives n = h + 67.\n5. Substitute h = m + 7 to n, which gives n = m + 74.\n6. Substitute m = 6 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 12176,
"question": "Suppose a collection of variables is related by the following definitions: h = m + 7; q = x + 8; e = m + 10; a = u + 5; p = w + 19; y = r + 8; x = h + 5; r = e + 4; u = y + 11; w = q + 20; n = p + 15; m = 6; t = a + 10. Given that m = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 1", "d": "c + 8", "j": "d + 11", "i": "j + 3", "b": "i + 20", "f": "b + 15", "o": "s + 6", "p": "o + 16", "h": "p + 16", "x": "h + 2", "t": "x + 1", "e": "t + 8", "s": 15}, "premises": {"s": 15}, "target": "f"}, "answer": {"steps": [["b", "i + 20", "i + 35"], ["i", "j + 3", "j + 38"], ["j", "d + 11", "d + 49"], ["d", "c + 8", "c + 57"], ["c", "s + 1", "s + 58"], ["s", 15, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"s": 15}, "is_reverse": true}} | 12,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 3; e = t + 8; x = h + 2; c = s + 1; b = i + 20; h = p + 16; s = 15; p = o + 16; t = x + 1; o = s + 6; j = d + 11; d = c + 8; f = b + 15. Given that s = 15, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 20 to f, which gives f = i + 35.\n2. Substitute i = j + 3 to f, which gives f = j + 38.\n3. Substitute j = d + 11 to f, which gives f = d + 49.\n4. Substitute d = c + 8 to f, which gives f = c + 57.\n5. Substitute c = s + 1 to f, which gives f = s + 58.\n6. Substitute s = 15 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 12177,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 3; e = t + 8; x = h + 2; c = s + 1; b = i + 20; h = p + 16; s = 15; p = o + 16; t = x + 1; o = s + 6; j = d + 11; d = c + 8; f = b + 15. Given that s = 15, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 4", "f": "g + 2", "q": "f + 14", "z": "q + 13", "o": "z + 12", "r": "o + 19", "t": "s + 4", "x": "t + 15", "c": "x + 19", "i": "c + 17", "b": "i + 13", "w": "b + 18", "s": 17}, "premises": {"s": 17}, "target": "r"}, "answer": {"steps": [["o", "z + 12", "z + 31"], ["z", "q + 13", "q + 44"], ["q", "f + 14", "f + 58"], ["f", "g + 2", "g + 60"], ["g", "s + 4", "s + 64"], ["s", 17, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"s": 17}, "is_reverse": true}} | 12,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 17; r = o + 19; x = t + 15; o = z + 12; b = i + 13; z = q + 13; w = b + 18; i = c + 17; g = s + 4; f = g + 2; t = s + 4; q = f + 14; c = x + 19. Given that s = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 12 to r, which gives r = z + 31.\n2. Substitute z = q + 13 to r, which gives r = q + 44.\n3. Substitute q = f + 14 to r, which gives r = f + 58.\n4. Substitute f = g + 2 to r, which gives r = g + 60.\n5. Substitute g = s + 4 to r, which gives r = s + 64.\n6. Substitute s = 17 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 12178,
"question": "Suppose a collection of variables is related by the following definitions: s = 17; r = o + 19; x = t + 15; o = z + 12; b = i + 13; z = q + 13; w = b + 18; i = c + 17; g = s + 4; f = g + 2; t = s + 4; q = f + 14; c = x + 19. Given that s = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 3", "x": "k + 5", "h": "x + 20", "y": "h + 1", "j": "y + 4", "f": "j + 1", "l": "q + 16", "z": "l + 15", "e": "z + 12", "d": "e + 18", "u": "d + 20", "s": "u + 8", "q": 20}, "premises": {"q": 20}, "target": "f"}, "answer": {"steps": [["j", "y + 4", "y + 5"], ["y", "h + 1", "h + 6"], ["h", "x + 20", "x + 26"], ["x", "k + 5", "k + 31"], ["k", "q + 3", "q + 34"], ["q", 20, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"q": 20}, "is_reverse": true}} | 12,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 16; u = d + 20; h = x + 20; s = u + 8; f = j + 1; x = k + 5; z = l + 15; j = y + 4; y = h + 1; k = q + 3; d = e + 18; q = 20; e = z + 12. Given that q = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 4 to f, which gives f = y + 5.\n2. Substitute y = h + 1 to f, which gives f = h + 6.\n3. Substitute h = x + 20 to f, which gives f = x + 26.\n4. Substitute x = k + 5 to f, which gives f = k + 31.\n5. Substitute k = q + 3 to f, which gives f = q + 34.\n6. Substitute q = 20 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 12179,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 16; u = d + 20; h = x + 20; s = u + 8; f = j + 1; x = k + 5; z = l + 15; j = y + 4; y = h + 1; k = q + 3; d = e + 18; q = 20; e = z + 12. Given that q = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 17", "s": "r + 12", "b": "s + 20", "m": "b + 17", "t": "m + 6", "e": "t + 13", "j": "y + 11", "i": "j + 20", "u": "i + 2", "f": "u + 11", "v": "f + 19", "k": "v + 6", "y": 4}, "premises": {"y": 4}, "target": "e"}, "answer": {"steps": [["t", "m + 6", "m + 19"], ["m", "b + 17", "b + 36"], ["b", "s + 20", "s + 56"], ["s", "r + 12", "r + 68"], ["r", "y + 17", "y + 85"], ["y", 4, "89"]], "target_var_name": "e", "target_value": 89, "value_dict": {"y": 4}, "is_reverse": true}} | 12,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = f + 19; i = j + 20; k = v + 6; s = r + 12; u = i + 2; r = y + 17; t = m + 6; m = b + 17; j = y + 11; e = t + 13; y = 4; b = s + 20; f = u + 11. If y = 4, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 6 to e, which gives e = m + 19.\n2. Substitute m = b + 17 to e, which gives e = b + 36.\n3. Substitute b = s + 20 to e, which gives e = s + 56.\n4. Substitute s = r + 12 to e, which gives e = r + 68.\n5. Substitute r = y + 17 to e, which gives e = y + 85.\n6. Substitute y = 4 to e, which gives e = 89.\n\nThus, the final answer is e = \\boxed{89}.",
"index": 12180,
"question": "Consider a system of variables where each variable is defined as follows: v = f + 19; i = j + 20; k = v + 6; s = r + 12; u = i + 2; r = y + 17; t = m + 6; m = b + 17; j = y + 11; e = t + 13; y = 4; b = s + 20; f = u + 11. If y = 4, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 4", "u": "i + 5", "h": "u + 13", "l": "h + 14", "g": "l + 2", "a": "g + 5", "p": "v + 6", "b": "p + 16", "t": "b + 19", "c": "t + 13", "e": "c + 2", "k": "e + 10", "v": 20}, "premises": {"v": 20}, "target": "a"}, "answer": {"steps": [["g", "l + 2", "l + 7"], ["l", "h + 14", "h + 21"], ["h", "u + 13", "u + 34"], ["u", "i + 5", "i + 39"], ["i", "v + 4", "v + 43"], ["v", 20, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"v": 20}, "is_reverse": true}} | 12,181 | 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 = i + 5; i = v + 4; b = p + 16; v = 20; g = l + 2; p = v + 6; t = b + 19; e = c + 2; h = u + 13; c = t + 13; k = e + 10; a = g + 5; l = h + 14. If v = 20, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 2 to a, which gives a = l + 7.\n2. Substitute l = h + 14 to a, which gives a = h + 21.\n3. Substitute h = u + 13 to a, which gives a = u + 34.\n4. Substitute u = i + 5 to a, which gives a = i + 39.\n5. Substitute i = v + 4 to a, which gives a = v + 43.\n6. Substitute v = 20 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 12181,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = i + 5; i = v + 4; b = p + 16; v = 20; g = l + 2; p = v + 6; t = b + 19; e = c + 2; h = u + 13; c = t + 13; k = e + 10; a = g + 5; l = h + 14. If v = 20, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 19", "v": "s + 12", "f": "v + 14", "y": "f + 18", "j": "y + 11", "q": "j + 8", "c": "o + 4", "l": "c + 13", "h": "l + 13", "m": "h + 16", "w": "m + 16", "n": "w + 4", "o": 16}, "premises": {"o": 16}, "target": "q"}, "answer": {"steps": [["j", "y + 11", "y + 19"], ["y", "f + 18", "f + 37"], ["f", "v + 14", "v + 51"], ["v", "s + 12", "s + 63"], ["s", "o + 19", "o + 82"], ["o", 16, "98"]], "target_var_name": "q", "target_value": 98, "value_dict": {"o": 16}, "is_reverse": true}} | 12,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = o + 4; j = y + 11; y = f + 18; q = j + 8; l = c + 13; h = l + 13; f = v + 14; m = h + 16; s = o + 19; o = 16; w = m + 16; v = s + 12; n = w + 4. Given that o = 16, 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 j = y + 11 to q, which gives q = y + 19.\n2. Substitute y = f + 18 to q, which gives q = f + 37.\n3. Substitute f = v + 14 to q, which gives q = v + 51.\n4. Substitute v = s + 12 to q, which gives q = s + 63.\n5. Substitute s = o + 19 to q, which gives q = o + 82.\n6. Substitute o = 16 to q, which gives q = 98.\n\nThus, the final answer is q = \\boxed{98}.",
"index": 12182,
"question": "Suppose a collection of variables is related by the following definitions: c = o + 4; j = y + 11; y = f + 18; q = j + 8; l = c + 13; h = l + 13; f = v + 14; m = h + 16; s = o + 19; o = 16; w = m + 16; v = s + 12; n = w + 4. Given that o = 16, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 1", "o": "p + 13", "t": "o + 15", "b": "t + 18", "d": "b + 8", "m": "d + 10", "e": "u + 9", "j": "e + 8", "v": "j + 11", "x": "v + 10", "k": "x + 16", "g": "k + 16", "u": 2}, "premises": {"u": 2}, "target": "m"}, "answer": {"steps": [["d", "b + 8", "b + 18"], ["b", "t + 18", "t + 36"], ["t", "o + 15", "o + 51"], ["o", "p + 13", "p + 64"], ["p", "u + 1", "u + 65"], ["u", 2, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"u": 2}, "is_reverse": true}} | 12,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = e + 8; t = o + 15; d = b + 8; u = 2; e = u + 9; o = p + 13; p = u + 1; x = v + 10; v = j + 11; g = k + 16; k = x + 16; b = t + 18; m = d + 10. Given that u = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 8 to m, which gives m = b + 18.\n2. Substitute b = t + 18 to m, which gives m = t + 36.\n3. Substitute t = o + 15 to m, which gives m = o + 51.\n4. Substitute o = p + 13 to m, which gives m = p + 64.\n5. Substitute p = u + 1 to m, which gives m = u + 65.\n6. Substitute u = 2 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 12183,
"question": "Suppose a collection of variables is related by the following definitions: j = e + 8; t = o + 15; d = b + 8; u = 2; e = u + 9; o = p + 13; p = u + 1; x = v + 10; v = j + 11; g = k + 16; k = x + 16; b = t + 18; m = d + 10. Given that u = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 17", "b": "k + 16", "j": "b + 16", "m": "j + 1", "h": "m + 20", "x": "h + 2", "e": "o + 9", "v": "e + 13", "u": "v + 17", "a": "u + 13", "f": "a + 18", "g": "f + 17", "o": 18}, "premises": {"o": 18}, "target": "x"}, "answer": {"steps": [["h", "m + 20", "m + 22"], ["m", "j + 1", "j + 23"], ["j", "b + 16", "b + 39"], ["b", "k + 16", "k + 55"], ["k", "o + 17", "o + 72"], ["o", 18, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"o": 18}, "is_reverse": true}} | 12,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 17; m = j + 1; e = o + 9; v = e + 13; o = 18; j = b + 16; x = h + 2; g = f + 17; a = u + 13; f = a + 18; h = m + 20; k = o + 17; b = k + 16. If o = 18, what is the resulting 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 h = m + 20 to x, which gives x = m + 22.\n2. Substitute m = j + 1 to x, which gives x = j + 23.\n3. Substitute j = b + 16 to x, which gives x = b + 39.\n4. Substitute b = k + 16 to x, which gives x = k + 55.\n5. Substitute k = o + 17 to x, which gives x = o + 72.\n6. Substitute o = 18 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 12184,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 17; m = j + 1; e = o + 9; v = e + 13; o = 18; j = b + 16; x = h + 2; g = f + 17; a = u + 13; f = a + 18; h = m + 20; k = o + 17; b = k + 16. If o = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 3", "y": "a + 19", "n": "y + 14", "q": "n + 11", "z": "q + 20", "s": "z + 18", "u": "e + 17", "t": "u + 6", "x": "t + 12", "k": "x + 11", "h": "k + 4", "g": "h + 18", "e": 11}, "premises": {"e": 11}, "target": "s"}, "answer": {"steps": [["z", "q + 20", "q + 38"], ["q", "n + 11", "n + 49"], ["n", "y + 14", "y + 63"], ["y", "a + 19", "a + 82"], ["a", "e + 3", "e + 85"], ["e", 11, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"e": 11}, "is_reverse": true}} | 12,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 20; y = a + 19; n = y + 14; x = t + 12; g = h + 18; e = 11; s = z + 18; h = k + 4; k = x + 11; a = e + 3; q = n + 11; u = e + 17; t = u + 6. Given that e = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 20 to s, which gives s = q + 38.\n2. Substitute q = n + 11 to s, which gives s = n + 49.\n3. Substitute n = y + 14 to s, which gives s = y + 63.\n4. Substitute y = a + 19 to s, which gives s = a + 82.\n5. Substitute a = e + 3 to s, which gives s = e + 85.\n6. Substitute e = 11 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 12185,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 20; y = a + 19; n = y + 14; x = t + 12; g = h + 18; e = 11; s = z + 18; h = k + 4; k = x + 11; a = e + 3; q = n + 11; u = e + 17; t = u + 6. Given that e = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 19", "d": "v + 12", "m": "d + 9", "k": "m + 6", "x": "k + 16", "b": "x + 7", "u": "y + 13", "h": "u + 4", "f": "h + 10", "s": "f + 4", "i": "s + 15", "c": "i + 14", "y": 3}, "premises": {"y": 3}, "target": "b"}, "answer": {"steps": [["x", "k + 16", "k + 23"], ["k", "m + 6", "m + 29"], ["m", "d + 9", "d + 38"], ["d", "v + 12", "v + 50"], ["v", "y + 19", "y + 69"], ["y", 3, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"y": 3}, "is_reverse": true}} | 12,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 9; c = i + 14; i = s + 15; x = k + 16; u = y + 13; k = m + 6; d = v + 12; h = u + 4; b = x + 7; s = f + 4; y = 3; v = y + 19; f = h + 10. Given that y = 3, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 16 to b, which gives b = k + 23.\n2. Substitute k = m + 6 to b, which gives b = m + 29.\n3. Substitute m = d + 9 to b, which gives b = d + 38.\n4. Substitute d = v + 12 to b, which gives b = v + 50.\n5. Substitute v = y + 19 to b, which gives b = y + 69.\n6. Substitute y = 3 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 12186,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 9; c = i + 14; i = s + 15; x = k + 16; u = y + 13; k = m + 6; d = v + 12; h = u + 4; b = x + 7; s = f + 4; y = 3; v = y + 19; f = h + 10. Given that y = 3, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 9", "c": "o + 5", "p": "c + 17", "q": "p + 6", "i": "q + 3", "w": "i + 14", "y": "n + 18", "l": "y + 10", "m": "l + 18", "a": "m + 14", "d": "a + 19", "s": "d + 7", "n": 20}, "premises": {"n": 20}, "target": "w"}, "answer": {"steps": [["i", "q + 3", "q + 17"], ["q", "p + 6", "p + 23"], ["p", "c + 17", "c + 40"], ["c", "o + 5", "o + 45"], ["o", "n + 9", "n + 54"], ["n", 20, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"n": 20}, "is_reverse": true}} | 12,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 17; l = y + 10; c = o + 5; q = p + 6; w = i + 14; y = n + 18; d = a + 19; s = d + 7; a = m + 14; n = 20; i = q + 3; m = l + 18; o = n + 9. Given that n = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 3 to w, which gives w = q + 17.\n2. Substitute q = p + 6 to w, which gives w = p + 23.\n3. Substitute p = c + 17 to w, which gives w = c + 40.\n4. Substitute c = o + 5 to w, which gives w = o + 45.\n5. Substitute o = n + 9 to w, which gives w = n + 54.\n6. Substitute n = 20 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 12187,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 17; l = y + 10; c = o + 5; q = p + 6; w = i + 14; y = n + 18; d = a + 19; s = d + 7; a = m + 14; n = 20; i = q + 3; m = l + 18; o = n + 9. Given that n = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 4", "p": "s + 14", "v": "p + 18", "y": "v + 7", "o": "y + 9", "u": "o + 12", "r": "e + 19", "l": "r + 2", "b": "l + 14", "j": "b + 11", "c": "j + 1", "a": "c + 10", "e": 2}, "premises": {"e": 2}, "target": "u"}, "answer": {"steps": [["o", "y + 9", "y + 21"], ["y", "v + 7", "v + 28"], ["v", "p + 18", "p + 46"], ["p", "s + 14", "s + 60"], ["s", "e + 4", "e + 64"], ["e", 2, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"e": 2}, "is_reverse": true}} | 12,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 19; u = o + 12; p = s + 14; v = p + 18; l = r + 2; y = v + 7; b = l + 14; c = j + 1; a = c + 10; o = y + 9; j = b + 11; e = 2; s = e + 4. If e = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 9 to u, which gives u = y + 21.\n2. Substitute y = v + 7 to u, which gives u = v + 28.\n3. Substitute v = p + 18 to u, which gives u = p + 46.\n4. Substitute p = s + 14 to u, which gives u = s + 60.\n5. Substitute s = e + 4 to u, which gives u = e + 64.\n6. Substitute e = 2 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 12188,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 19; u = o + 12; p = s + 14; v = p + 18; l = r + 2; y = v + 7; b = l + 14; c = j + 1; a = c + 10; o = y + 9; j = b + 11; e = 2; s = e + 4. If e = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 19", "j": "v + 14", "p": "j + 13", "s": "p + 4", "d": "s + 6", "o": "d + 19", "g": "i + 20", "l": "g + 1", "b": "l + 11", "w": "b + 1", "z": "w + 16", "x": "z + 19", "i": 9}, "premises": {"i": 9}, "target": "o"}, "answer": {"steps": [["d", "s + 6", "s + 25"], ["s", "p + 4", "p + 29"], ["p", "j + 13", "j + 42"], ["j", "v + 14", "v + 56"], ["v", "i + 19", "i + 75"], ["i", 9, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"i": 9}, "is_reverse": true}} | 12,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 19; o = d + 19; p = j + 13; i = 9; b = l + 11; l = g + 1; s = p + 4; z = w + 16; x = z + 19; w = b + 1; d = s + 6; g = i + 20; j = v + 14. If i = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 6 to o, which gives o = s + 25.\n2. Substitute s = p + 4 to o, which gives o = p + 29.\n3. Substitute p = j + 13 to o, which gives o = j + 42.\n4. Substitute j = v + 14 to o, which gives o = v + 56.\n5. Substitute v = i + 19 to o, which gives o = i + 75.\n6. Substitute i = 9 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 12189,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 19; o = d + 19; p = j + 13; i = 9; b = l + 11; l = g + 1; s = p + 4; z = w + 16; x = z + 19; w = b + 1; d = s + 6; g = i + 20; j = v + 14. If i = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 20", "c": "r + 11", "m": "c + 4", "v": "m + 13", "t": "v + 15", "q": "t + 11", "f": "s + 6", "o": "f + 9", "x": "o + 17", "z": "x + 20", "b": "z + 1", "j": "b + 11", "s": 14}, "premises": {"s": 14}, "target": "q"}, "answer": {"steps": [["t", "v + 15", "v + 26"], ["v", "m + 13", "m + 39"], ["m", "c + 4", "c + 43"], ["c", "r + 11", "r + 54"], ["r", "s + 20", "s + 74"], ["s", 14, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"s": 14}, "is_reverse": true}} | 12,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 11; f = s + 6; r = s + 20; t = v + 15; c = r + 11; b = z + 1; v = m + 13; m = c + 4; z = x + 20; o = f + 9; s = 14; x = o + 17; j = b + 11. Given that s = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 15 to q, which gives q = v + 26.\n2. Substitute v = m + 13 to q, which gives q = m + 39.\n3. Substitute m = c + 4 to q, which gives q = c + 43.\n4. Substitute c = r + 11 to q, which gives q = r + 54.\n5. Substitute r = s + 20 to q, which gives q = s + 74.\n6. Substitute s = 14 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 12190,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 11; f = s + 6; r = s + 20; t = v + 15; c = r + 11; b = z + 1; v = m + 13; m = c + 4; z = x + 20; o = f + 9; s = 14; x = o + 17; j = b + 11. Given that s = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 18", "i": "h + 3", "o": "i + 13", "n": "o + 2", "d": "n + 13", "c": "d + 6", "e": "p + 19", "r": "e + 2", "a": "r + 18", "z": "a + 17", "u": "z + 15", "g": "u + 13", "p": 10}, "premises": {"p": 10}, "target": "c"}, "answer": {"steps": [["d", "n + 13", "n + 19"], ["n", "o + 2", "o + 21"], ["o", "i + 13", "i + 34"], ["i", "h + 3", "h + 37"], ["h", "p + 18", "p + 55"], ["p", 10, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"p": 10}, "is_reverse": true}} | 12,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 18; g = u + 13; o = i + 13; n = o + 2; p = 10; h = p + 18; u = z + 15; i = h + 3; c = d + 6; r = e + 2; e = p + 19; z = a + 17; d = n + 13. Given that p = 10, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 13 to c, which gives c = n + 19.\n2. Substitute n = o + 2 to c, which gives c = o + 21.\n3. Substitute o = i + 13 to c, which gives c = i + 34.\n4. Substitute i = h + 3 to c, which gives c = h + 37.\n5. Substitute h = p + 18 to c, which gives c = p + 55.\n6. Substitute p = 10 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 12191,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 18; g = u + 13; o = i + 13; n = o + 2; p = 10; h = p + 18; u = z + 15; i = h + 3; c = d + 6; r = e + 2; e = p + 19; z = a + 17; d = n + 13. Given that p = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 5", "h": "i + 18", "w": "h + 8", "e": "w + 20", "j": "e + 15", "b": "j + 8", "a": "y + 2", "k": "a + 16", "u": "k + 14", "n": "u + 2", "o": "n + 14", "c": "o + 1", "y": 12}, "premises": {"y": 12}, "target": "b"}, "answer": {"steps": [["j", "e + 15", "e + 23"], ["e", "w + 20", "w + 43"], ["w", "h + 8", "h + 51"], ["h", "i + 18", "i + 69"], ["i", "y + 5", "y + 74"], ["y", 12, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"y": 12}, "is_reverse": true}} | 12,192 | 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 = y + 5; j = e + 15; n = u + 2; c = o + 1; o = n + 14; b = j + 8; w = h + 8; u = k + 14; a = y + 2; k = a + 16; y = 12; h = i + 18; e = w + 20. If y = 12, what is the resulting 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 j = e + 15 to b, which gives b = e + 23.\n2. Substitute e = w + 20 to b, which gives b = w + 43.\n3. Substitute w = h + 8 to b, which gives b = h + 51.\n4. Substitute h = i + 18 to b, which gives b = i + 69.\n5. Substitute i = y + 5 to b, which gives b = y + 74.\n6. Substitute y = 12 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 12192,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 5; j = e + 15; n = u + 2; c = o + 1; o = n + 14; b = j + 8; w = h + 8; u = k + 14; a = y + 2; k = a + 16; y = 12; h = i + 18; e = w + 20. If y = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 15", "n": "k + 12", "c": "n + 12", "e": "c + 16", "l": "e + 12", "v": "l + 7", "r": "z + 6", "d": "r + 3", "h": "d + 17", "i": "h + 1", "o": "i + 13", "x": "o + 4", "z": 17}, "premises": {"z": 17}, "target": "v"}, "answer": {"steps": [["l", "e + 12", "e + 19"], ["e", "c + 16", "c + 35"], ["c", "n + 12", "n + 47"], ["n", "k + 12", "k + 59"], ["k", "z + 15", "z + 74"], ["z", 17, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"z": 17}, "is_reverse": true}} | 12,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = l + 7; h = d + 17; o = i + 13; e = c + 16; d = r + 3; k = z + 15; n = k + 12; l = e + 12; r = z + 6; x = o + 4; z = 17; c = n + 12; i = h + 1. Given that z = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 12 to v, which gives v = e + 19.\n2. Substitute e = c + 16 to v, which gives v = c + 35.\n3. Substitute c = n + 12 to v, which gives v = n + 47.\n4. Substitute n = k + 12 to v, which gives v = k + 59.\n5. Substitute k = z + 15 to v, which gives v = z + 74.\n6. Substitute z = 17 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 12193,
"question": "Suppose a collection of variables is related by the following definitions: v = l + 7; h = d + 17; o = i + 13; e = c + 16; d = r + 3; k = z + 15; n = k + 12; l = e + 12; r = z + 6; x = o + 4; z = 17; c = n + 12; i = h + 1. Given that z = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 10", "g": "l + 19", "w": "g + 7", "k": "w + 14", "d": "k + 5", "p": "d + 17", "n": "h + 1", "u": "n + 4", "q": "u + 4", "j": "q + 1", "t": "j + 15", "i": "t + 7", "h": 8}, "premises": {"h": 8}, "target": "p"}, "answer": {"steps": [["d", "k + 5", "k + 22"], ["k", "w + 14", "w + 36"], ["w", "g + 7", "g + 43"], ["g", "l + 19", "l + 62"], ["l", "h + 10", "h + 72"], ["h", 8, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"h": 8}, "is_reverse": true}} | 12,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 8; g = l + 19; t = j + 15; d = k + 5; n = h + 1; w = g + 7; k = w + 14; l = h + 10; p = d + 17; u = n + 4; j = q + 1; q = u + 4; i = t + 7. Given that h = 8, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 5 to p, which gives p = k + 22.\n2. Substitute k = w + 14 to p, which gives p = w + 36.\n3. Substitute w = g + 7 to p, which gives p = g + 43.\n4. Substitute g = l + 19 to p, which gives p = l + 62.\n5. Substitute l = h + 10 to p, which gives p = h + 72.\n6. Substitute h = 8 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 12194,
"question": "Suppose a collection of variables is related by the following definitions: h = 8; g = l + 19; t = j + 15; d = k + 5; n = h + 1; w = g + 7; k = w + 14; l = h + 10; p = d + 17; u = n + 4; j = q + 1; q = u + 4; i = t + 7. Given that h = 8, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 10", "q": "r + 16", "o": "q + 5", "s": "o + 17", "k": "s + 3", "w": "k + 20", "x": "e + 5", "t": "x + 7", "u": "t + 8", "i": "u + 17", "p": "i + 11", "d": "p + 18", "e": 18}, "premises": {"e": 18}, "target": "w"}, "answer": {"steps": [["k", "s + 3", "s + 23"], ["s", "o + 17", "o + 40"], ["o", "q + 5", "q + 45"], ["q", "r + 16", "r + 61"], ["r", "e + 10", "e + 71"], ["e", 18, "89"]], "target_var_name": "w", "target_value": 89, "value_dict": {"e": 18}, "is_reverse": true}} | 12,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 7; u = t + 8; s = o + 17; o = q + 5; e = 18; x = e + 5; d = p + 18; k = s + 3; p = i + 11; w = k + 20; q = r + 16; i = u + 17; r = e + 10. Given that e = 18, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 3 to w, which gives w = s + 23.\n2. Substitute s = o + 17 to w, which gives w = o + 40.\n3. Substitute o = q + 5 to w, which gives w = q + 45.\n4. Substitute q = r + 16 to w, which gives w = r + 61.\n5. Substitute r = e + 10 to w, which gives w = e + 71.\n6. Substitute e = 18 to w, which gives w = 89.\n\nThus, the final answer is w = \\boxed{89}.",
"index": 12195,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 7; u = t + 8; s = o + 17; o = q + 5; e = 18; x = e + 5; d = p + 18; k = s + 3; p = i + 11; w = k + 20; q = r + 16; i = u + 17; r = e + 10. Given that e = 18, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 13", "b": "x + 4", "c": "b + 12", "o": "c + 5", "v": "o + 20", "d": "v + 3", "n": "u + 1", "h": "n + 17", "q": "h + 3", "i": "q + 3", "s": "i + 19", "p": "s + 17", "u": 13}, "premises": {"u": 13}, "target": "d"}, "answer": {"steps": [["v", "o + 20", "o + 23"], ["o", "c + 5", "c + 28"], ["c", "b + 12", "b + 40"], ["b", "x + 4", "x + 44"], ["x", "u + 13", "u + 57"], ["u", 13, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"u": 13}, "is_reverse": true}} | 12,196 | 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 + 3; q = h + 3; x = u + 13; s = i + 19; c = b + 12; v = o + 20; u = 13; h = n + 17; b = x + 4; n = u + 1; p = s + 17; d = v + 3; o = c + 5. If u = 13, what is the resulting 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 v = o + 20 to d, which gives d = o + 23.\n2. Substitute o = c + 5 to d, which gives d = c + 28.\n3. Substitute c = b + 12 to d, which gives d = b + 40.\n4. Substitute b = x + 4 to d, which gives d = x + 44.\n5. Substitute x = u + 13 to d, which gives d = u + 57.\n6. Substitute u = 13 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 12196,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 3; q = h + 3; x = u + 13; s = i + 19; c = b + 12; v = o + 20; u = 13; h = n + 17; b = x + 4; n = u + 1; p = s + 17; d = v + 3; o = c + 5. If u = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 6", "t": "a + 14", "l": "t + 5", "n": "l + 12", "f": "n + 13", "c": "f + 7", "b": "g + 2", "w": "b + 1", "p": "w + 15", "o": "p + 11", "m": "o + 9", "s": "m + 20", "g": 9}, "premises": {"g": 9}, "target": "c"}, "answer": {"steps": [["f", "n + 13", "n + 20"], ["n", "l + 12", "l + 32"], ["l", "t + 5", "t + 37"], ["t", "a + 14", "a + 51"], ["a", "g + 6", "g + 57"], ["g", 9, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"g": 9}, "is_reverse": true}} | 12,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 20; c = f + 7; g = 9; b = g + 2; o = p + 11; t = a + 14; l = t + 5; w = b + 1; n = l + 12; a = g + 6; p = w + 15; f = n + 13; m = o + 9. Given that g = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 13 to c, which gives c = n + 20.\n2. Substitute n = l + 12 to c, which gives c = l + 32.\n3. Substitute l = t + 5 to c, which gives c = t + 37.\n4. Substitute t = a + 14 to c, which gives c = a + 51.\n5. Substitute a = g + 6 to c, which gives c = g + 57.\n6. Substitute g = 9 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 12197,
"question": "Suppose a collection of variables is related by the following definitions: s = m + 20; c = f + 7; g = 9; b = g + 2; o = p + 11; t = a + 14; l = t + 5; w = b + 1; n = l + 12; a = g + 6; p = w + 15; f = n + 13; m = o + 9. Given that g = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 6", "x": "b + 13", "a": "x + 10", "q": "a + 20", "m": "q + 4", "w": "m + 7", "u": "i + 8", "z": "u + 18", "c": "z + 20", "v": "c + 3", "k": "v + 4", "s": "k + 4", "i": 19}, "premises": {"i": 19}, "target": "w"}, "answer": {"steps": [["m", "q + 4", "q + 11"], ["q", "a + 20", "a + 31"], ["a", "x + 10", "x + 41"], ["x", "b + 13", "b + 54"], ["b", "i + 6", "i + 60"], ["i", 19, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"i": 19}, "is_reverse": true}} | 12,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 8; z = u + 18; k = v + 4; s = k + 4; a = x + 10; x = b + 13; w = m + 7; b = i + 6; i = 19; q = a + 20; c = z + 20; m = q + 4; v = c + 3. Given that i = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 4 to w, which gives w = q + 11.\n2. Substitute q = a + 20 to w, which gives w = a + 31.\n3. Substitute a = x + 10 to w, which gives w = x + 41.\n4. Substitute x = b + 13 to w, which gives w = b + 54.\n5. Substitute b = i + 6 to w, which gives w = i + 60.\n6. Substitute i = 19 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 12198,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 8; z = u + 18; k = v + 4; s = k + 4; a = x + 10; x = b + 13; w = m + 7; b = i + 6; i = 19; q = a + 20; c = z + 20; m = q + 4; v = c + 3. Given that i = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 16", "x": "c + 17", "z": "x + 5", "v": "z + 17", "w": "v + 2", "m": "w + 19", "j": "r + 18", "q": "j + 19", "y": "q + 15", "s": "y + 15", "i": "s + 13", "u": "i + 4", "r": 19}, "premises": {"r": 19}, "target": "m"}, "answer": {"steps": [["w", "v + 2", "v + 21"], ["v", "z + 17", "z + 38"], ["z", "x + 5", "x + 43"], ["x", "c + 17", "c + 60"], ["c", "r + 16", "r + 76"], ["r", 19, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"r": 19}, "is_reverse": true}} | 12,199 | 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 = c + 17; y = q + 15; r = 19; z = x + 5; u = i + 4; m = w + 19; q = j + 19; v = z + 17; s = y + 15; i = s + 13; w = v + 2; j = r + 18; c = r + 16. If r = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 2 to m, which gives m = v + 21.\n2. Substitute v = z + 17 to m, which gives m = z + 38.\n3. Substitute z = x + 5 to m, which gives m = x + 43.\n4. Substitute x = c + 17 to m, which gives m = c + 60.\n5. Substitute c = r + 16 to m, which gives m = r + 76.\n6. Substitute r = 19 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 12199,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 17; y = q + 15; r = 19; z = x + 5; u = i + 4; m = w + 19; q = j + 19; v = z + 17; s = y + 15; i = s + 13; w = v + 2; j = r + 18; c = r + 16. If r = 19, what is the resulting value of m?",
"split": "train"
} |
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