meta stringlengths 521 549 | 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": "h + 18", "e": "l + 12", "n": "e + 18", "c": "n + 1", "t": "c + 18", "y": "t + 13", "b": "h + 8", "u": "b + 20", "q": "u + 12", "g": "q + 12", "f": "g + 7", "r": "f + 12", "h": 11}, "premises": {"h": 11}, "target": "y"}, "answer": {"steps": [["l", "h + 18", 29], ["e", "l + 12", 41], ["n", "e + 18", 59], ["c", "n + 1", 60], ["t", "c + 18", 78], ["y", "t + 13", 91]], "target_var_name": "y", "target_value": 91, "value_dict": {"h": 11, "l": 29, "e": 41, "n": 59, "c": 60, "t": 78, "y": 91}, "is_reverse": false}} | 400 | 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 = n + 1; n = e + 18; u = b + 20; h = 11; l = h + 18; r = f + 12; y = t + 13; g = q + 12; t = c + 18; b = h + 8; q = u + 12; e = l + 12; f = g + 7. If h = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = h + 18, which gives l = 29.\n2. Compute e using e = l + 12, which gives e = 41.\n3. Compute n using n = e + 18, which gives n = 59.\n4. Compute c using c = n + 1, which gives c = 60.\n5. Compute t using t = c + 18, which gives t = 78.\n6. Compute y using y = t + 13, which gives y = 91.\n\nThus, the final answer is y = \\boxed{91}.",
"index": 400,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 1; n = e + 18; u = b + 20; h = 11; l = h + 18; r = f + 12; y = t + 13; g = q + 12; t = c + 18; b = h + 8; q = u + 12; e = l + 12; f = g + 7. If h = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 12", "q": "u + 12", "w": "q + 1", "z": "w + 5", "f": "z + 1", "c": "f + 6", "d": "p + 15", "m": "d + 6", "l": "m + 8", "i": "l + 2", "y": "i + 14", "g": "y + 9", "p": 14}, "premises": {"p": 14}, "target": "c"}, "answer": {"steps": [["u", "p + 12", 26], ["q", "u + 12", 38], ["w", "q + 1", 39], ["z", "w + 5", 44], ["f", "z + 1", 45], ["c", "f + 6", 51]], "target_var_name": "c", "target_value": 51, "value_dict": {"p": 14, "u": 26, "q": 38, "w": 39, "z": 44, "f": 45, "c": 51}, "is_reverse": false}} | 401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = u + 12; w = q + 1; p = 14; l = m + 8; f = z + 1; g = y + 9; y = i + 14; u = p + 12; i = l + 2; z = w + 5; d = p + 15; m = d + 6; c = f + 6. If p = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = p + 12, which gives u = 26.\n2. Compute q using q = u + 12, which gives q = 38.\n3. Compute w using w = q + 1, which gives w = 39.\n4. Compute z using z = w + 5, which gives z = 44.\n5. Compute f using f = z + 1, which gives f = 45.\n6. Compute c using c = f + 6, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 401,
"question": "Consider a system of variables where each variable is defined as follows: q = u + 12; w = q + 1; p = 14; l = m + 8; f = z + 1; g = y + 9; y = i + 14; u = p + 12; i = l + 2; z = w + 5; d = p + 15; m = d + 6; c = f + 6. If p = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 13", "z": "b + 4", "g": "z + 18", "i": "g + 11", "x": "i + 13", "s": "x + 14", "r": "k + 5", "m": "r + 18", "t": "m + 15", "n": "t + 14", "p": "n + 10", "f": "p + 8", "k": 7}, "premises": {"k": 7}, "target": "s"}, "answer": {"steps": [["b", "k + 13", 20], ["z", "b + 4", 24], ["g", "z + 18", 42], ["i", "g + 11", 53], ["x", "i + 13", 66], ["s", "x + 14", 80]], "target_var_name": "s", "target_value": 80, "value_dict": {"k": 7, "b": 20, "z": 24, "g": 42, "i": 53, "x": 66, "s": 80}, "is_reverse": false}} | 402 | 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 = p + 8; m = r + 18; b = k + 13; z = b + 4; i = g + 11; g = z + 18; r = k + 5; s = x + 14; k = 7; x = i + 13; n = t + 14; p = n + 10; t = m + 15. If k = 7, what is the resulting 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. Compute b using b = k + 13, which gives b = 20.\n2. Compute z using z = b + 4, which gives z = 24.\n3. Compute g using g = z + 18, which gives g = 42.\n4. Compute i using i = g + 11, which gives i = 53.\n5. Compute x using x = i + 13, which gives x = 66.\n6. Compute s using s = x + 14, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 402,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 8; m = r + 18; b = k + 13; z = b + 4; i = g + 11; g = z + 18; r = k + 5; s = x + 14; k = 7; x = i + 13; n = t + 14; p = n + 10; t = m + 15. If k = 7, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 13", "s": "o + 12", "c": "s + 13", "b": "c + 18", "v": "b + 10", "q": "v + 1", "f": "x + 5", "u": "f + 9", "d": "u + 11", "z": "d + 10", "e": "z + 11", "l": "e + 3", "x": 6}, "premises": {"x": 6}, "target": "q"}, "answer": {"steps": [["o", "x + 13", 19], ["s", "o + 12", 31], ["c", "s + 13", 44], ["b", "c + 18", 62], ["v", "b + 10", 72], ["q", "v + 1", 73]], "target_var_name": "q", "target_value": 73, "value_dict": {"x": 6, "o": 19, "s": 31, "c": 44, "b": 62, "v": 72, "q": 73}, "is_reverse": false}} | 403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 11; c = s + 13; e = z + 11; f = x + 5; u = f + 9; x = 6; l = e + 3; o = x + 13; v = b + 10; q = v + 1; b = c + 18; z = d + 10; s = o + 12. If x = 6, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = x + 13, which gives o = 19.\n2. Compute s using s = o + 12, which gives s = 31.\n3. Compute c using c = s + 13, which gives c = 44.\n4. Compute b using b = c + 18, which gives b = 62.\n5. Compute v using v = b + 10, which gives v = 72.\n6. Compute q using q = v + 1, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 403,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 11; c = s + 13; e = z + 11; f = x + 5; u = f + 9; x = 6; l = e + 3; o = x + 13; v = b + 10; q = v + 1; b = c + 18; z = d + 10; s = o + 12. If x = 6, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 9", "b": "k + 8", "x": "b + 19", "r": "x + 18", "l": "r + 17", "j": "l + 17", "f": "h + 6", "q": "f + 5", "s": "q + 16", "c": "s + 6", "e": "c + 3", "d": "e + 16", "h": 12}, "premises": {"h": 12}, "target": "j"}, "answer": {"steps": [["k", "h + 9", 21], ["b", "k + 8", 29], ["x", "b + 19", 48], ["r", "x + 18", 66], ["l", "r + 17", 83], ["j", "l + 17", 100]], "target_var_name": "j", "target_value": 100, "value_dict": {"h": 12, "k": 21, "b": 29, "x": 48, "r": 66, "l": 83, "j": 100}, "is_reverse": false}} | 404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 19; k = h + 9; h = 12; q = f + 5; b = k + 8; r = x + 18; c = s + 6; e = c + 3; d = e + 16; l = r + 17; j = l + 17; s = q + 16; f = h + 6. Given that h = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = h + 9, which gives k = 21.\n2. Compute b using b = k + 8, which gives b = 29.\n3. Compute x using x = b + 19, which gives x = 48.\n4. Compute r using r = x + 18, which gives r = 66.\n5. Compute l using l = r + 17, which gives l = 83.\n6. Compute j using j = l + 17, which gives j = 100.\n\nThus, the final answer is j = \\boxed{100}.",
"index": 404,
"question": "Suppose a collection of variables is related by the following definitions: x = b + 19; k = h + 9; h = 12; q = f + 5; b = k + 8; r = x + 18; c = s + 6; e = c + 3; d = e + 16; l = r + 17; j = l + 17; s = q + 16; f = h + 6. Given that h = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 15", "h": "a + 16", "p": "h + 1", "l": "p + 2", "z": "l + 1", "t": "z + 8", "k": "s + 12", "g": "k + 9", "b": "g + 4", "o": "b + 16", "v": "o + 5", "r": "v + 13", "s": 3}, "premises": {"s": 3}, "target": "t"}, "answer": {"steps": [["a", "s + 15", 18], ["h", "a + 16", 34], ["p", "h + 1", 35], ["l", "p + 2", 37], ["z", "l + 1", 38], ["t", "z + 8", 46]], "target_var_name": "t", "target_value": 46, "value_dict": {"s": 3, "a": 18, "h": 34, "p": 35, "l": 37, "z": 38, "t": 46}, "is_reverse": false}} | 405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 1; o = b + 16; g = k + 9; h = a + 16; b = g + 4; v = o + 5; t = z + 8; r = v + 13; k = s + 12; a = s + 15; z = l + 1; s = 3; l = p + 2. Given that s = 3, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = s + 15, which gives a = 18.\n2. Compute h using h = a + 16, which gives h = 34.\n3. Compute p using p = h + 1, which gives p = 35.\n4. Compute l using l = p + 2, which gives l = 37.\n5. Compute z using z = l + 1, which gives z = 38.\n6. Compute t using t = z + 8, which gives t = 46.\n\nThus, the final answer is t = \\boxed{46}.",
"index": 405,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 1; o = b + 16; g = k + 9; h = a + 16; b = g + 4; v = o + 5; t = z + 8; r = v + 13; k = s + 12; a = s + 15; z = l + 1; s = 3; l = p + 2. Given that s = 3, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 15", "c": "k + 3", "q": "c + 20", "p": "q + 6", "s": "p + 4", "h": "s + 15", "g": "n + 19", "l": "g + 17", "m": "l + 1", "w": "m + 18", "j": "w + 12", "x": "j + 6", "n": 11}, "premises": {"n": 11}, "target": "h"}, "answer": {"steps": [["k", "n + 15", 26], ["c", "k + 3", 29], ["q", "c + 20", 49], ["p", "q + 6", 55], ["s", "p + 4", 59], ["h", "s + 15", 74]], "target_var_name": "h", "target_value": 74, "value_dict": {"n": 11, "k": 26, "c": 29, "q": 49, "p": 55, "s": 59, "h": 74}, "is_reverse": false}} | 406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 3; g = n + 19; k = n + 15; x = j + 6; h = s + 15; w = m + 18; j = w + 12; n = 11; p = q + 6; m = l + 1; q = c + 20; l = g + 17; s = p + 4. If n = 11, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = n + 15, which gives k = 26.\n2. Compute c using c = k + 3, which gives c = 29.\n3. Compute q using q = c + 20, which gives q = 49.\n4. Compute p using p = q + 6, which gives p = 55.\n5. Compute s using s = p + 4, which gives s = 59.\n6. Compute h using h = s + 15, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 406,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 3; g = n + 19; k = n + 15; x = j + 6; h = s + 15; w = m + 18; j = w + 12; n = 11; p = q + 6; m = l + 1; q = c + 20; l = g + 17; s = p + 4. If n = 11, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 15", "v": "e + 10", "a": "v + 14", "t": "a + 4", "g": "t + 17", "i": "g + 20", "m": "o + 5", "s": "m + 13", "f": "s + 15", "j": "f + 13", "r": "j + 18", "w": "r + 5", "o": 10}, "premises": {"o": 10}, "target": "i"}, "answer": {"steps": [["e", "o + 15", 25], ["v", "e + 10", 35], ["a", "v + 14", 49], ["t", "a + 4", 53], ["g", "t + 17", 70], ["i", "g + 20", 90]], "target_var_name": "i", "target_value": 90, "value_dict": {"o": 10, "e": 25, "v": 35, "a": 49, "t": 53, "g": 70, "i": 90}, "is_reverse": false}} | 407 | 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 = s + 15; i = g + 20; j = f + 13; r = j + 18; m = o + 5; w = r + 5; t = a + 4; e = o + 15; g = t + 17; v = e + 10; o = 10; a = v + 14; s = m + 13. If o = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = o + 15, which gives e = 25.\n2. Compute v using v = e + 10, which gives v = 35.\n3. Compute a using a = v + 14, which gives a = 49.\n4. Compute t using t = a + 4, which gives t = 53.\n5. Compute g using g = t + 17, which gives g = 70.\n6. Compute i using i = g + 20, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 15; i = g + 20; j = f + 13; r = j + 18; m = o + 5; w = r + 5; t = a + 4; e = o + 15; g = t + 17; v = e + 10; o = 10; a = v + 14; s = m + 13. If o = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 12", "d": "x + 2", "h": "d + 6", "g": "h + 11", "w": "g + 12", "y": "w + 9", "j": "n + 9", "z": "j + 8", "b": "z + 14", "r": "b + 20", "i": "r + 4", "l": "i + 14", "n": 8}, "premises": {"n": 8}, "target": "y"}, "answer": {"steps": [["x", "n + 12", 20], ["d", "x + 2", 22], ["h", "d + 6", 28], ["g", "h + 11", 39], ["w", "g + 12", 51], ["y", "w + 9", 60]], "target_var_name": "y", "target_value": 60, "value_dict": {"n": 8, "x": 20, "d": 22, "h": 28, "g": 39, "w": 51, "y": 60}, "is_reverse": false}} | 408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 8; g = h + 11; w = g + 12; n = 8; d = x + 2; h = d + 6; y = w + 9; i = r + 4; r = b + 20; b = z + 14; x = n + 12; j = n + 9; l = i + 14. If n = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = n + 12, which gives x = 20.\n2. Compute d using d = x + 2, which gives d = 22.\n3. Compute h using h = d + 6, which gives h = 28.\n4. Compute g using g = h + 11, which gives g = 39.\n5. Compute w using w = g + 12, which gives w = 51.\n6. Compute y using y = w + 9, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 408,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 8; g = h + 11; w = g + 12; n = 8; d = x + 2; h = d + 6; y = w + 9; i = r + 4; r = b + 20; b = z + 14; x = n + 12; j = n + 9; l = i + 14. If n = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 15", "w": "c + 9", "f": "w + 4", "o": "f + 15", "j": "o + 8", "b": "j + 10", "x": "g + 20", "a": "x + 13", "t": "a + 6", "s": "t + 6", "h": "s + 1", "l": "h + 2", "g": 7}, "premises": {"g": 7}, "target": "b"}, "answer": {"steps": [["c", "g + 15", 22], ["w", "c + 9", 31], ["f", "w + 4", 35], ["o", "f + 15", 50], ["j", "o + 8", 58], ["b", "j + 10", 68]], "target_var_name": "b", "target_value": 68, "value_dict": {"g": 7, "c": 22, "w": 31, "f": 35, "o": 50, "j": 58, "b": 68}, "is_reverse": false}} | 409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 4; g = 7; l = h + 2; t = a + 6; o = f + 15; j = o + 8; x = g + 20; w = c + 9; h = s + 1; s = t + 6; c = g + 15; a = x + 13; b = j + 10. If g = 7, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = g + 15, which gives c = 22.\n2. Compute w using w = c + 9, which gives w = 31.\n3. Compute f using f = w + 4, which gives f = 35.\n4. Compute o using o = f + 15, which gives o = 50.\n5. Compute j using j = o + 8, which gives j = 58.\n6. Compute b using b = j + 10, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 409,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 4; g = 7; l = h + 2; t = a + 6; o = f + 15; j = o + 8; x = g + 20; w = c + 9; h = s + 1; s = t + 6; c = g + 15; a = x + 13; b = j + 10. If g = 7, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 2", "w": "t + 8", "e": "w + 8", "o": "e + 18", "s": "o + 9", "p": "s + 15", "i": "c + 9", "y": "i + 12", "x": "y + 20", "a": "x + 1", "v": "a + 15", "l": "v + 3", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["t", "c + 2", 19], ["w", "t + 8", 27], ["e", "w + 8", 35], ["o", "e + 18", 53], ["s", "o + 9", 62], ["p", "s + 15", 77]], "target_var_name": "p", "target_value": 77, "value_dict": {"c": 17, "t": 19, "w": 27, "e": 35, "o": 53, "s": 62, "p": 77}, "is_reverse": false}} | 410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 20; v = a + 15; s = o + 9; e = w + 8; w = t + 8; i = c + 9; l = v + 3; t = c + 2; c = 17; p = s + 15; o = e + 18; a = x + 1; y = i + 12. Given that c = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = c + 2, which gives t = 19.\n2. Compute w using w = t + 8, which gives w = 27.\n3. Compute e using e = w + 8, which gives e = 35.\n4. Compute o using o = e + 18, which gives o = 53.\n5. Compute s using s = o + 9, which gives s = 62.\n6. Compute p using p = s + 15, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 410,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 20; v = a + 15; s = o + 9; e = w + 8; w = t + 8; i = c + 9; l = v + 3; t = c + 2; c = 17; p = s + 15; o = e + 18; a = x + 1; y = i + 12. Given that c = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 12", "a": "f + 2", "d": "a + 9", "c": "d + 4", "i": "c + 4", "m": "i + 10", "b": "o + 19", "l": "b + 11", "j": "l + 6", "p": "j + 15", "w": "p + 10", "k": "w + 14", "o": 9}, "premises": {"o": 9}, "target": "m"}, "answer": {"steps": [["f", "o + 12", 21], ["a", "f + 2", 23], ["d", "a + 9", 32], ["c", "d + 4", 36], ["i", "c + 4", 40], ["m", "i + 10", 50]], "target_var_name": "m", "target_value": 50, "value_dict": {"o": 9, "f": 21, "a": 23, "d": 32, "c": 36, "i": 40, "m": 50}, "is_reverse": false}} | 411 | 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 + 9; j = l + 6; w = p + 10; k = w + 14; c = d + 4; p = j + 15; b = o + 19; f = o + 12; a = f + 2; m = i + 10; i = c + 4; l = b + 11; o = 9. If o = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = o + 12, which gives f = 21.\n2. Compute a using a = f + 2, which gives a = 23.\n3. Compute d using d = a + 9, which gives d = 32.\n4. Compute c using c = d + 4, which gives c = 36.\n5. Compute i using i = c + 4, which gives i = 40.\n6. Compute m using m = i + 10, which gives m = 50.\n\nThus, the final answer is m = \\boxed{50}.",
"index": 411,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 9; j = l + 6; w = p + 10; k = w + 14; c = d + 4; p = j + 15; b = o + 19; f = o + 12; a = f + 2; m = i + 10; i = c + 4; l = b + 11; o = 9. If o = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 3", "s": "o + 2", "v": "s + 7", "j": "v + 3", "r": "j + 4", "w": "r + 15", "f": "p + 13", "c": "f + 18", "m": "c + 8", "z": "m + 10", "y": "z + 10", "x": "y + 3", "p": 15}, "premises": {"p": 15}, "target": "w"}, "answer": {"steps": [["o", "p + 3", 18], ["s", "o + 2", 20], ["v", "s + 7", 27], ["j", "v + 3", 30], ["r", "j + 4", 34], ["w", "r + 15", 49]], "target_var_name": "w", "target_value": 49, "value_dict": {"p": 15, "o": 18, "s": 20, "v": 27, "j": 30, "r": 34, "w": 49}, "is_reverse": false}} | 412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 4; o = p + 3; v = s + 7; m = c + 8; s = o + 2; c = f + 18; y = z + 10; f = p + 13; w = r + 15; z = m + 10; p = 15; j = v + 3; x = y + 3. Given that p = 15, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = p + 3, which gives o = 18.\n2. Compute s using s = o + 2, which gives s = 20.\n3. Compute v using v = s + 7, which gives v = 27.\n4. Compute j using j = v + 3, which gives j = 30.\n5. Compute r using r = j + 4, which gives r = 34.\n6. Compute w using w = r + 15, which gives w = 49.\n\nThus, the final answer is w = \\boxed{49}.",
"index": 412,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 4; o = p + 3; v = s + 7; m = c + 8; s = o + 2; c = f + 18; y = z + 10; f = p + 13; w = r + 15; z = m + 10; p = 15; j = v + 3; x = y + 3. Given that p = 15, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 15", "q": "o + 19", "a": "q + 18", "f": "a + 11", "w": "f + 19", "h": "w + 12", "g": "x + 18", "u": "g + 13", "z": "u + 6", "n": "z + 16", "r": "n + 4", "v": "r + 8", "x": 19}, "premises": {"x": 19}, "target": "h"}, "answer": {"steps": [["o", "x + 15", 34], ["q", "o + 19", 53], ["a", "q + 18", 71], ["f", "a + 11", 82], ["w", "f + 19", 101], ["h", "w + 12", 113]], "target_var_name": "h", "target_value": 113, "value_dict": {"x": 19, "o": 34, "q": 53, "a": 71, "f": 82, "w": 101, "h": 113}, "is_reverse": false}} | 413 | 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 = o + 19; g = x + 18; z = u + 6; f = a + 11; w = f + 19; n = z + 16; u = g + 13; h = w + 12; v = r + 8; x = 19; a = q + 18; r = n + 4; o = x + 15. If x = 19, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 113,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = x + 15, which gives o = 34.\n2. Compute q using q = o + 19, which gives q = 53.\n3. Compute a using a = q + 18, which gives a = 71.\n4. Compute f using f = a + 11, which gives f = 82.\n5. Compute w using w = f + 19, which gives w = 101.\n6. Compute h using h = w + 12, which gives h = 113.\n\nThus, the final answer is h = \\boxed{113}.",
"index": 413,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 19; g = x + 18; z = u + 6; f = a + 11; w = f + 19; n = z + 16; u = g + 13; h = w + 12; v = r + 8; x = 19; a = q + 18; r = n + 4; o = x + 15. If x = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 9", "p": "f + 7", "h": "p + 13", "y": "h + 16", "a": "y + 20", "k": "a + 14", "b": "v + 15", "d": "b + 19", "x": "d + 4", "j": "x + 1", "l": "j + 11", "q": "l + 6", "v": 11}, "premises": {"v": 11}, "target": "k"}, "answer": {"steps": [["f", "v + 9", 20], ["p", "f + 7", 27], ["h", "p + 13", 40], ["y", "h + 16", 56], ["a", "y + 20", 76], ["k", "a + 14", 90]], "target_var_name": "k", "target_value": 90, "value_dict": {"v": 11, "f": 20, "p": 27, "h": 40, "y": 56, "a": 76, "k": 90}, "is_reverse": false}} | 414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 1; x = d + 4; q = l + 6; h = p + 13; d = b + 19; b = v + 15; v = 11; l = j + 11; y = h + 16; a = y + 20; p = f + 7; k = a + 14; f = v + 9. If v = 11, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = v + 9, which gives f = 20.\n2. Compute p using p = f + 7, which gives p = 27.\n3. Compute h using h = p + 13, which gives h = 40.\n4. Compute y using y = h + 16, which gives y = 56.\n5. Compute a using a = y + 20, which gives a = 76.\n6. Compute k using k = a + 14, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 414,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 1; x = d + 4; q = l + 6; h = p + 13; d = b + 19; b = v + 15; v = 11; l = j + 11; y = h + 16; a = y + 20; p = f + 7; k = a + 14; f = v + 9. If v = 11, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 8", "p": "x + 9", "q": "p + 12", "k": "q + 17", "f": "k + 19", "w": "f + 10", "r": "v + 19", "a": "r + 19", "j": "a + 14", "g": "j + 9", "i": "g + 16", "c": "i + 3", "v": 19}, "premises": {"v": 19}, "target": "w"}, "answer": {"steps": [["x", "v + 8", 27], ["p", "x + 9", 36], ["q", "p + 12", 48], ["k", "q + 17", 65], ["f", "k + 19", 84], ["w", "f + 10", 94]], "target_var_name": "w", "target_value": 94, "value_dict": {"v": 19, "x": 27, "p": 36, "q": 48, "k": 65, "f": 84, "w": 94}, "is_reverse": false}} | 415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 19; p = x + 9; w = f + 10; j = a + 14; v = 19; c = i + 3; q = p + 12; a = r + 19; f = k + 19; k = q + 17; g = j + 9; i = g + 16; x = v + 8. If v = 19, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = v + 8, which gives x = 27.\n2. Compute p using p = x + 9, which gives p = 36.\n3. Compute q using q = p + 12, which gives q = 48.\n4. Compute k using k = q + 17, which gives k = 65.\n5. Compute f using f = k + 19, which gives f = 84.\n6. Compute w using w = f + 10, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 415,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 19; p = x + 9; w = f + 10; j = a + 14; v = 19; c = i + 3; q = p + 12; a = r + 19; f = k + 19; k = q + 17; g = j + 9; i = g + 16; x = v + 8. If v = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 10", "e": "l + 9", "v": "e + 2", "b": "v + 3", "o": "b + 17", "c": "o + 13", "a": "w + 4", "m": "a + 14", "i": "m + 5", "k": "i + 2", "n": "k + 4", "f": "n + 15", "w": 12}, "premises": {"w": 12}, "target": "c"}, "answer": {"steps": [["l", "w + 10", 22], ["e", "l + 9", 31], ["v", "e + 2", 33], ["b", "v + 3", 36], ["o", "b + 17", 53], ["c", "o + 13", 66]], "target_var_name": "c", "target_value": 66, "value_dict": {"w": 12, "l": 22, "e": 31, "v": 33, "b": 36, "o": 53, "c": 66}, "is_reverse": false}} | 416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 17; n = k + 4; c = o + 13; a = w + 4; l = w + 10; f = n + 15; w = 12; b = v + 3; i = m + 5; v = e + 2; m = a + 14; e = l + 9; k = i + 2. If w = 12, what is the resulting 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. Compute l using l = w + 10, which gives l = 22.\n2. Compute e using e = l + 9, which gives e = 31.\n3. Compute v using v = e + 2, which gives v = 33.\n4. Compute b using b = v + 3, which gives b = 36.\n5. Compute o using o = b + 17, which gives o = 53.\n6. Compute c using c = o + 13, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 416,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 17; n = k + 4; c = o + 13; a = w + 4; l = w + 10; f = n + 15; w = 12; b = v + 3; i = m + 5; v = e + 2; m = a + 14; e = l + 9; k = i + 2. If w = 12, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 14", "f": "a + 8", "x": "f + 12", "h": "x + 9", "z": "h + 14", "u": "z + 8", "t": "b + 12", "i": "t + 3", "q": "i + 8", "c": "q + 3", "o": "c + 2", "y": "o + 2", "b": 9}, "premises": {"b": 9}, "target": "u"}, "answer": {"steps": [["a", "b + 14", 23], ["f", "a + 8", 31], ["x", "f + 12", 43], ["h", "x + 9", 52], ["z", "h + 14", 66], ["u", "z + 8", 74]], "target_var_name": "u", "target_value": 74, "value_dict": {"b": 9, "a": 23, "f": 31, "x": 43, "h": 52, "z": 66, "u": 74}, "is_reverse": false}} | 417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 14; o = c + 2; t = b + 12; h = x + 9; x = f + 12; z = h + 14; u = z + 8; f = a + 8; c = q + 3; i = t + 3; y = o + 2; b = 9; q = i + 8. If b = 9, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = b + 14, which gives a = 23.\n2. Compute f using f = a + 8, which gives f = 31.\n3. Compute x using x = f + 12, which gives x = 43.\n4. Compute h using h = x + 9, which gives h = 52.\n5. Compute z using z = h + 14, which gives z = 66.\n6. Compute u using u = z + 8, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 417,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 14; o = c + 2; t = b + 12; h = x + 9; x = f + 12; z = h + 14; u = z + 8; f = a + 8; c = q + 3; i = t + 3; y = o + 2; b = 9; q = i + 8. If b = 9, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 15", "j": "y + 16", "g": "j + 8", "o": "g + 8", "l": "o + 1", "u": "l + 12", "r": "h + 5", "w": "r + 20", "m": "w + 7", "a": "m + 13", "k": "a + 11", "x": "k + 16", "h": 13}, "premises": {"h": 13}, "target": "u"}, "answer": {"steps": [["y", "h + 15", 28], ["j", "y + 16", 44], ["g", "j + 8", 52], ["o", "g + 8", 60], ["l", "o + 1", 61], ["u", "l + 12", 73]], "target_var_name": "u", "target_value": 73, "value_dict": {"h": 13, "y": 28, "j": 44, "g": 52, "o": 60, "l": 61, "u": 73}, "is_reverse": false}} | 418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 16; k = a + 11; r = h + 5; x = k + 16; a = m + 13; y = h + 15; m = w + 7; h = 13; o = g + 8; w = r + 20; u = l + 12; g = j + 8; l = o + 1. Given that h = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = h + 15, which gives y = 28.\n2. Compute j using j = y + 16, which gives j = 44.\n3. Compute g using g = j + 8, which gives g = 52.\n4. Compute o using o = g + 8, which gives o = 60.\n5. Compute l using l = o + 1, which gives l = 61.\n6. Compute u using u = l + 12, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 418,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 16; k = a + 11; r = h + 5; x = k + 16; a = m + 13; y = h + 15; m = w + 7; h = 13; o = g + 8; w = r + 20; u = l + 12; g = j + 8; l = o + 1. Given that h = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 11", "y": "i + 12", "o": "y + 3", "g": "o + 15", "z": "g + 6", "k": "z + 20", "a": "b + 17", "h": "a + 4", "q": "h + 16", "w": "q + 7", "m": "w + 8", "l": "m + 3", "b": 19}, "premises": {"b": 19}, "target": "k"}, "answer": {"steps": [["i", "b + 11", 30], ["y", "i + 12", 42], ["o", "y + 3", 45], ["g", "o + 15", 60], ["z", "g + 6", 66], ["k", "z + 20", 86]], "target_var_name": "k", "target_value": 86, "value_dict": {"b": 19, "i": 30, "y": 42, "o": 45, "g": 60, "z": 66, "k": 86}, "is_reverse": false}} | 419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 7; q = h + 16; k = z + 20; l = m + 3; a = b + 17; m = w + 8; i = b + 11; z = g + 6; y = i + 12; o = y + 3; b = 19; g = o + 15; h = a + 4. If b = 19, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = b + 11, which gives i = 30.\n2. Compute y using y = i + 12, which gives y = 42.\n3. Compute o using o = y + 3, which gives o = 45.\n4. Compute g using g = o + 15, which gives g = 60.\n5. Compute z using z = g + 6, which gives z = 66.\n6. Compute k using k = z + 20, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 419,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 7; q = h + 16; k = z + 20; l = m + 3; a = b + 17; m = w + 8; i = b + 11; z = g + 6; y = i + 12; o = y + 3; b = 19; g = o + 15; h = a + 4. If b = 19, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 11", "b": "p + 12", "d": "b + 19", "s": "d + 14", "r": "s + 14", "n": "r + 3", "o": "l + 12", "z": "o + 20", "g": "z + 10", "v": "g + 19", "k": "v + 11", "u": "k + 17", "l": 16}, "premises": {"l": 16}, "target": "n"}, "answer": {"steps": [["p", "l + 11", 27], ["b", "p + 12", 39], ["d", "b + 19", 58], ["s", "d + 14", 72], ["r", "s + 14", 86], ["n", "r + 3", 89]], "target_var_name": "n", "target_value": 89, "value_dict": {"l": 16, "p": 27, "b": 39, "d": 58, "s": 72, "r": 86, "n": 89}, "is_reverse": false}} | 420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 12; p = l + 11; o = l + 12; s = d + 14; z = o + 20; v = g + 19; g = z + 10; l = 16; n = r + 3; r = s + 14; k = v + 11; d = b + 19; u = k + 17. If l = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = l + 11, which gives p = 27.\n2. Compute b using b = p + 12, which gives b = 39.\n3. Compute d using d = b + 19, which gives d = 58.\n4. Compute s using s = d + 14, which gives s = 72.\n5. Compute r using r = s + 14, which gives r = 86.\n6. Compute n using n = r + 3, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 420,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 12; p = l + 11; o = l + 12; s = d + 14; z = o + 20; v = g + 19; g = z + 10; l = 16; n = r + 3; r = s + 14; k = v + 11; d = b + 19; u = k + 17. If l = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 17", "e": "z + 2", "v": "e + 4", "s": "v + 15", "x": "s + 4", "g": "x + 12", "h": "r + 4", "u": "h + 13", "i": "u + 6", "k": "i + 12", "q": "k + 19", "n": "q + 1", "r": 11}, "premises": {"r": 11}, "target": "g"}, "answer": {"steps": [["z", "r + 17", 28], ["e", "z + 2", 30], ["v", "e + 4", 34], ["s", "v + 15", 49], ["x", "s + 4", 53], ["g", "x + 12", 65]], "target_var_name": "g", "target_value": 65, "value_dict": {"r": 11, "z": 28, "e": 30, "v": 34, "s": 49, "x": 53, "g": 65}, "is_reverse": false}} | 421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 4; x = s + 4; k = i + 12; z = r + 17; s = v + 15; g = x + 12; v = e + 4; u = h + 13; n = q + 1; r = 11; q = k + 19; e = z + 2; i = u + 6. If r = 11, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = r + 17, which gives z = 28.\n2. Compute e using e = z + 2, which gives e = 30.\n3. Compute v using v = e + 4, which gives v = 34.\n4. Compute s using s = v + 15, which gives s = 49.\n5. Compute x using x = s + 4, which gives x = 53.\n6. Compute g using g = x + 12, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 421,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 4; x = s + 4; k = i + 12; z = r + 17; s = v + 15; g = x + 12; v = e + 4; u = h + 13; n = q + 1; r = 11; q = k + 19; e = z + 2; i = u + 6. If r = 11, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 19", "v": "f + 11", "j": "v + 15", "k": "j + 13", "q": "k + 9", "m": "q + 3", "s": "l + 16", "u": "s + 8", "w": "u + 20", "o": "w + 19", "t": "o + 17", "i": "t + 15", "l": 3}, "premises": {"l": 3}, "target": "m"}, "answer": {"steps": [["f", "l + 19", 22], ["v", "f + 11", 33], ["j", "v + 15", 48], ["k", "j + 13", 61], ["q", "k + 9", 70], ["m", "q + 3", 73]], "target_var_name": "m", "target_value": 73, "value_dict": {"l": 3, "f": 22, "v": 33, "j": 48, "k": 61, "q": 70, "m": 73}, "is_reverse": false}} | 422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 3; m = q + 3; w = u + 20; s = l + 16; t = o + 17; q = k + 9; v = f + 11; f = l + 19; i = t + 15; j = v + 15; u = s + 8; o = w + 19; k = j + 13. Given that l = 3, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = l + 19, which gives f = 22.\n2. Compute v using v = f + 11, which gives v = 33.\n3. Compute j using j = v + 15, which gives j = 48.\n4. Compute k using k = j + 13, which gives k = 61.\n5. Compute q using q = k + 9, which gives q = 70.\n6. Compute m using m = q + 3, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 422,
"question": "Suppose a collection of variables is related by the following definitions: l = 3; m = q + 3; w = u + 20; s = l + 16; t = o + 17; q = k + 9; v = f + 11; f = l + 19; i = t + 15; j = v + 15; u = s + 8; o = w + 19; k = j + 13. Given that l = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 5", "w": "x + 19", "f": "w + 8", "j": "f + 7", "h": "j + 9", "z": "h + 11", "r": "l + 6", "b": "r + 19", "q": "b + 1", "k": "q + 19", "d": "k + 11", "s": "d + 19", "l": 1}, "premises": {"l": 1}, "target": "z"}, "answer": {"steps": [["x", "l + 5", 6], ["w", "x + 19", 25], ["f", "w + 8", 33], ["j", "f + 7", 40], ["h", "j + 9", 49], ["z", "h + 11", 60]], "target_var_name": "z", "target_value": 60, "value_dict": {"l": 1, "x": 6, "w": 25, "f": 33, "j": 40, "h": 49, "z": 60}, "is_reverse": false}} | 423 | 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 = w + 8; l = 1; z = h + 11; s = d + 19; h = j + 9; d = k + 11; j = f + 7; q = b + 1; b = r + 19; x = l + 5; r = l + 6; k = q + 19; w = x + 19. If l = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = l + 5, which gives x = 6.\n2. Compute w using w = x + 19, which gives w = 25.\n3. Compute f using f = w + 8, which gives f = 33.\n4. Compute j using j = f + 7, which gives j = 40.\n5. Compute h using h = j + 9, which gives h = 49.\n6. Compute z using z = h + 11, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 423,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 8; l = 1; z = h + 11; s = d + 19; h = j + 9; d = k + 11; j = f + 7; q = b + 1; b = r + 19; x = l + 5; r = l + 6; k = q + 19; w = x + 19. If l = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 16", "h": "i + 19", "l": "h + 11", "v": "l + 16", "q": "v + 13", "a": "q + 19", "o": "m + 14", "g": "o + 15", "b": "g + 10", "r": "b + 2", "t": "r + 2", "j": "t + 13", "m": 18}, "premises": {"m": 18}, "target": "a"}, "answer": {"steps": [["i", "m + 16", 34], ["h", "i + 19", 53], ["l", "h + 11", 64], ["v", "l + 16", 80], ["q", "v + 13", 93], ["a", "q + 19", 112]], "target_var_name": "a", "target_value": 112, "value_dict": {"m": 18, "i": 34, "h": 53, "l": 64, "v": 80, "q": 93, "a": 112}, "is_reverse": false}} | 424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 16; v = l + 16; g = o + 15; r = b + 2; b = g + 10; m = 18; o = m + 14; q = v + 13; a = q + 19; l = h + 11; t = r + 2; h = i + 19; j = t + 13. Given that m = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = m + 16, which gives i = 34.\n2. Compute h using h = i + 19, which gives h = 53.\n3. Compute l using l = h + 11, which gives l = 64.\n4. Compute v using v = l + 16, which gives v = 80.\n5. Compute q using q = v + 13, which gives q = 93.\n6. Compute a using a = q + 19, which gives a = 112.\n\nThus, the final answer is a = \\boxed{112}.",
"index": 424,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 16; v = l + 16; g = o + 15; r = b + 2; b = g + 10; m = 18; o = m + 14; q = v + 13; a = q + 19; l = h + 11; t = r + 2; h = i + 19; j = t + 13. Given that m = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 4", "v": "f + 8", "q": "v + 2", "t": "q + 2", "b": "t + 2", "r": "b + 16", "w": "i + 7", "g": "w + 15", "e": "g + 12", "x": "e + 9", "c": "x + 14", "d": "c + 2", "i": 8}, "premises": {"i": 8}, "target": "r"}, "answer": {"steps": [["f", "i + 4", 12], ["v", "f + 8", 20], ["q", "v + 2", 22], ["t", "q + 2", 24], ["b", "t + 2", 26], ["r", "b + 16", 42]], "target_var_name": "r", "target_value": 42, "value_dict": {"i": 8, "f": 12, "v": 20, "q": 22, "t": 24, "b": 26, "r": 42}, "is_reverse": false}} | 425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = g + 12; q = v + 2; f = i + 4; b = t + 2; w = i + 7; x = e + 9; v = f + 8; d = c + 2; i = 8; t = q + 2; g = w + 15; r = b + 16; c = x + 14. If i = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = i + 4, which gives f = 12.\n2. Compute v using v = f + 8, which gives v = 20.\n3. Compute q using q = v + 2, which gives q = 22.\n4. Compute t using t = q + 2, which gives t = 24.\n5. Compute b using b = t + 2, which gives b = 26.\n6. Compute r using r = b + 16, which gives r = 42.\n\nThus, the final answer is r = \\boxed{42}.",
"index": 425,
"question": "Consider a system of variables where each variable is defined as follows: e = g + 12; q = v + 2; f = i + 4; b = t + 2; w = i + 7; x = e + 9; v = f + 8; d = c + 2; i = 8; t = q + 2; g = w + 15; r = b + 16; c = x + 14. If i = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 1", "a": "o + 17", "t": "a + 4", "l": "t + 19", "p": "l + 4", "h": "p + 10", "w": "e + 20", "s": "w + 16", "b": "s + 20", "x": "b + 6", "q": "x + 5", "u": "q + 7", "e": 1}, "premises": {"e": 1}, "target": "h"}, "answer": {"steps": [["o", "e + 1", 2], ["a", "o + 17", 19], ["t", "a + 4", 23], ["l", "t + 19", 42], ["p", "l + 4", 46], ["h", "p + 10", 56]], "target_var_name": "h", "target_value": 56, "value_dict": {"e": 1, "o": 2, "a": 19, "t": 23, "l": 42, "p": 46, "h": 56}, "is_reverse": false}} | 426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 17; l = t + 19; o = e + 1; b = s + 20; h = p + 10; w = e + 20; x = b + 6; e = 1; p = l + 4; t = a + 4; u = q + 7; s = w + 16; q = x + 5. If e = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = e + 1, which gives o = 2.\n2. Compute a using a = o + 17, which gives a = 19.\n3. Compute t using t = a + 4, which gives t = 23.\n4. Compute l using l = t + 19, which gives l = 42.\n5. Compute p using p = l + 4, which gives p = 46.\n6. Compute h using h = p + 10, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 17; l = t + 19; o = e + 1; b = s + 20; h = p + 10; w = e + 20; x = b + 6; e = 1; p = l + 4; t = a + 4; u = q + 7; s = w + 16; q = x + 5. If e = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 1", "x": "r + 15", "n": "x + 14", "y": "n + 15", "g": "y + 9", "w": "g + 10", "h": "f + 3", "j": "h + 2", "m": "j + 5", "d": "m + 20", "s": "d + 18", "p": "s + 9", "f": 7}, "premises": {"f": 7}, "target": "w"}, "answer": {"steps": [["r", "f + 1", 8], ["x", "r + 15", 23], ["n", "x + 14", 37], ["y", "n + 15", 52], ["g", "y + 9", 61], ["w", "g + 10", 71]], "target_var_name": "w", "target_value": 71, "value_dict": {"f": 7, "r": 8, "x": 23, "n": 37, "y": 52, "g": 61, "w": 71}, "is_reverse": false}} | 427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 10; j = h + 2; y = n + 15; s = d + 18; x = r + 15; h = f + 3; g = y + 9; p = s + 9; r = f + 1; f = 7; m = j + 5; d = m + 20; n = x + 14. Given that f = 7, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = f + 1, which gives r = 8.\n2. Compute x using x = r + 15, which gives x = 23.\n3. Compute n using n = x + 14, which gives n = 37.\n4. Compute y using y = n + 15, which gives y = 52.\n5. Compute g using g = y + 9, which gives g = 61.\n6. Compute w using w = g + 10, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 427,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 10; j = h + 2; y = n + 15; s = d + 18; x = r + 15; h = f + 3; g = y + 9; p = s + 9; r = f + 1; f = 7; m = j + 5; d = m + 20; n = x + 14. Given that f = 7, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 4", "o": "h + 12", "j": "o + 11", "m": "j + 11", "f": "m + 12", "n": "f + 14", "x": "c + 9", "g": "x + 2", "r": "g + 6", "k": "r + 8", "v": "k + 9", "b": "v + 12", "c": 3}, "premises": {"c": 3}, "target": "n"}, "answer": {"steps": [["h", "c + 4", 7], ["o", "h + 12", 19], ["j", "o + 11", 30], ["m", "j + 11", 41], ["f", "m + 12", 53], ["n", "f + 14", 67]], "target_var_name": "n", "target_value": 67, "value_dict": {"c": 3, "h": 7, "o": 19, "j": 30, "m": 41, "f": 53, "n": 67}, "is_reverse": false}} | 428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 14; h = c + 4; v = k + 9; j = o + 11; b = v + 12; k = r + 8; x = c + 9; c = 3; r = g + 6; o = h + 12; f = m + 12; m = j + 11; g = x + 2. Given that c = 3, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = c + 4, which gives h = 7.\n2. Compute o using o = h + 12, which gives o = 19.\n3. Compute j using j = o + 11, which gives j = 30.\n4. Compute m using m = j + 11, which gives m = 41.\n5. Compute f using f = m + 12, which gives f = 53.\n6. Compute n using n = f + 14, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 428,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 14; h = c + 4; v = k + 9; j = o + 11; b = v + 12; k = r + 8; x = c + 9; c = 3; r = g + 6; o = h + 12; f = m + 12; m = j + 11; g = x + 2. Given that c = 3, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 16", "k": "s + 20", "r": "k + 6", "x": "r + 3", "t": "x + 8", "c": "t + 4", "e": "w + 12", "f": "e + 17", "i": "f + 16", "a": "i + 16", "o": "a + 12", "u": "o + 6", "w": 12}, "premises": {"w": 12}, "target": "c"}, "answer": {"steps": [["s", "w + 16", 28], ["k", "s + 20", 48], ["r", "k + 6", 54], ["x", "r + 3", 57], ["t", "x + 8", 65], ["c", "t + 4", 69]], "target_var_name": "c", "target_value": 69, "value_dict": {"w": 12, "s": 28, "k": 48, "r": 54, "x": 57, "t": 65, "c": 69}, "is_reverse": false}} | 429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = w + 12; k = s + 20; s = w + 16; a = i + 16; o = a + 12; c = t + 4; x = r + 3; t = x + 8; f = e + 17; u = o + 6; r = k + 6; i = f + 16; w = 12. Given that w = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = w + 16, which gives s = 28.\n2. Compute k using k = s + 20, which gives k = 48.\n3. Compute r using r = k + 6, which gives r = 54.\n4. Compute x using x = r + 3, which gives x = 57.\n5. Compute t using t = x + 8, which gives t = 65.\n6. Compute c using c = t + 4, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 429,
"question": "Suppose a collection of variables is related by the following definitions: e = w + 12; k = s + 20; s = w + 16; a = i + 16; o = a + 12; c = t + 4; x = r + 3; t = x + 8; f = e + 17; u = o + 6; r = k + 6; i = f + 16; w = 12. Given that w = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 16", "g": "k + 19", "n": "g + 20", "i": "n + 2", "t": "i + 8", "r": "t + 16", "j": "q + 19", "c": "j + 13", "y": "c + 18", "o": "y + 9", "a": "o + 13", "v": "a + 11", "q": 3}, "premises": {"q": 3}, "target": "r"}, "answer": {"steps": [["k", "q + 16", 19], ["g", "k + 19", 38], ["n", "g + 20", 58], ["i", "n + 2", 60], ["t", "i + 8", 68], ["r", "t + 16", 84]], "target_var_name": "r", "target_value": 84, "value_dict": {"q": 3, "k": 19, "g": 38, "n": 58, "i": 60, "t": 68, "r": 84}, "is_reverse": false}} | 430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 19; q = 3; n = g + 20; t = i + 8; a = o + 13; v = a + 11; c = j + 13; o = y + 9; r = t + 16; j = q + 19; i = n + 2; y = c + 18; k = q + 16. Given that q = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = q + 16, which gives k = 19.\n2. Compute g using g = k + 19, which gives g = 38.\n3. Compute n using n = g + 20, which gives n = 58.\n4. Compute i using i = n + 2, which gives i = 60.\n5. Compute t using t = i + 8, which gives t = 68.\n6. Compute r using r = t + 16, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 430,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 19; q = 3; n = g + 20; t = i + 8; a = o + 13; v = a + 11; c = j + 13; o = y + 9; r = t + 16; j = q + 19; i = n + 2; y = c + 18; k = q + 16. Given that q = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 2", "y": "k + 18", "n": "y + 1", "l": "n + 10", "c": "l + 14", "g": "c + 19", "x": "w + 6", "f": "x + 4", "h": "f + 2", "e": "h + 8", "q": "e + 4", "z": "q + 7", "w": 3}, "premises": {"w": 3}, "target": "g"}, "answer": {"steps": [["k", "w + 2", 5], ["y", "k + 18", 23], ["n", "y + 1", 24], ["l", "n + 10", 34], ["c", "l + 14", 48], ["g", "c + 19", 67]], "target_var_name": "g", "target_value": 67, "value_dict": {"w": 3, "k": 5, "y": 23, "n": 24, "l": 34, "c": 48, "g": 67}, "is_reverse": false}} | 431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 2; w = 3; x = w + 6; z = q + 7; e = h + 8; y = k + 18; h = f + 2; c = l + 14; l = n + 10; q = e + 4; n = y + 1; g = c + 19; f = x + 4. If w = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = w + 2, which gives k = 5.\n2. Compute y using y = k + 18, which gives y = 23.\n3. Compute n using n = y + 1, which gives n = 24.\n4. Compute l using l = n + 10, which gives l = 34.\n5. Compute c using c = l + 14, which gives c = 48.\n6. Compute g using g = c + 19, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 431,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 2; w = 3; x = w + 6; z = q + 7; e = h + 8; y = k + 18; h = f + 2; c = l + 14; l = n + 10; q = e + 4; n = y + 1; g = c + 19; f = x + 4. If w = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 1", "n": "r + 15", "p": "n + 13", "b": "p + 8", "k": "b + 10", "v": "k + 15", "h": "l + 16", "j": "h + 6", "g": "j + 3", "q": "g + 13", "x": "q + 13", "o": "x + 8", "l": 20}, "premises": {"l": 20}, "target": "v"}, "answer": {"steps": [["r", "l + 1", 21], ["n", "r + 15", 36], ["p", "n + 13", 49], ["b", "p + 8", 57], ["k", "b + 10", 67], ["v", "k + 15", 82]], "target_var_name": "v", "target_value": 82, "value_dict": {"l": 20, "r": 21, "n": 36, "p": 49, "b": 57, "k": 67, "v": 82}, "is_reverse": false}} | 432 | 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 = l + 1; n = r + 15; b = p + 8; p = n + 13; q = g + 13; k = b + 10; x = q + 13; l = 20; g = j + 3; j = h + 6; o = x + 8; h = l + 16; v = k + 15. If l = 20, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = l + 1, which gives r = 21.\n2. Compute n using n = r + 15, which gives n = 36.\n3. Compute p using p = n + 13, which gives p = 49.\n4. Compute b using b = p + 8, which gives b = 57.\n5. Compute k using k = b + 10, which gives k = 67.\n6. Compute v using v = k + 15, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 432,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 1; n = r + 15; b = p + 8; p = n + 13; q = g + 13; k = b + 10; x = q + 13; l = 20; g = j + 3; j = h + 6; o = x + 8; h = l + 16; v = k + 15. If l = 20, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 6", "k": "w + 13", "h": "k + 8", "p": "h + 5", "c": "p + 18", "a": "c + 4", "n": "f + 19", "d": "n + 14", "b": "d + 11", "e": "b + 19", "y": "e + 13", "v": "y + 2", "f": 2}, "premises": {"f": 2}, "target": "a"}, "answer": {"steps": [["w", "f + 6", 8], ["k", "w + 13", 21], ["h", "k + 8", 29], ["p", "h + 5", 34], ["c", "p + 18", 52], ["a", "c + 4", 56]], "target_var_name": "a", "target_value": 56, "value_dict": {"f": 2, "w": 8, "k": 21, "h": 29, "p": 34, "c": 52, "a": 56}, "is_reverse": false}} | 433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 11; h = k + 8; n = f + 19; a = c + 4; k = w + 13; f = 2; p = h + 5; c = p + 18; v = y + 2; e = b + 19; y = e + 13; w = f + 6; d = n + 14. If f = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = f + 6, which gives w = 8.\n2. Compute k using k = w + 13, which gives k = 21.\n3. Compute h using h = k + 8, which gives h = 29.\n4. Compute p using p = h + 5, which gives p = 34.\n5. Compute c using c = p + 18, which gives c = 52.\n6. Compute a using a = c + 4, which gives a = 56.\n\nThus, the final answer is a = \\boxed{56}.",
"index": 433,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 11; h = k + 8; n = f + 19; a = c + 4; k = w + 13; f = 2; p = h + 5; c = p + 18; v = y + 2; e = b + 19; y = e + 13; w = f + 6; d = n + 14. If f = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 2", "t": "r + 19", "v": "t + 2", "d": "v + 18", "x": "d + 6", "q": "x + 15", "f": "w + 9", "i": "f + 6", "o": "i + 2", "m": "o + 10", "u": "m + 5", "g": "u + 11", "w": 3}, "premises": {"w": 3}, "target": "q"}, "answer": {"steps": [["r", "w + 2", 5], ["t", "r + 19", 24], ["v", "t + 2", 26], ["d", "v + 18", 44], ["x", "d + 6", 50], ["q", "x + 15", 65]], "target_var_name": "q", "target_value": 65, "value_dict": {"w": 3, "r": 5, "t": 24, "v": 26, "d": 44, "x": 50, "q": 65}, "is_reverse": false}} | 434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 15; u = m + 5; f = w + 9; v = t + 2; o = i + 2; d = v + 18; x = d + 6; g = u + 11; t = r + 19; r = w + 2; m = o + 10; i = f + 6; w = 3. Given that w = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = w + 2, which gives r = 5.\n2. Compute t using t = r + 19, which gives t = 24.\n3. Compute v using v = t + 2, which gives v = 26.\n4. Compute d using d = v + 18, which gives d = 44.\n5. Compute x using x = d + 6, which gives x = 50.\n6. Compute q using q = x + 15, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 434,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 15; u = m + 5; f = w + 9; v = t + 2; o = i + 2; d = v + 18; x = d + 6; g = u + 11; t = r + 19; r = w + 2; m = o + 10; i = f + 6; w = 3. Given that w = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 5", "q": "u + 6", "d": "q + 13", "b": "d + 9", "x": "b + 15", "z": "x + 15", "s": "y + 20", "l": "s + 18", "r": "l + 16", "e": "r + 17", "i": "e + 16", "n": "i + 20", "y": 12}, "premises": {"y": 12}, "target": "z"}, "answer": {"steps": [["u", "y + 5", 17], ["q", "u + 6", 23], ["d", "q + 13", 36], ["b", "d + 9", 45], ["x", "b + 15", 60], ["z", "x + 15", 75]], "target_var_name": "z", "target_value": 75, "value_dict": {"y": 12, "u": 17, "q": 23, "d": 36, "b": 45, "x": 60, "z": 75}, "is_reverse": false}} | 435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 16; l = s + 18; q = u + 6; e = r + 17; u = y + 5; d = q + 13; n = i + 20; s = y + 20; i = e + 16; x = b + 15; z = x + 15; y = 12; b = d + 9. If y = 12, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = y + 5, which gives u = 17.\n2. Compute q using q = u + 6, which gives q = 23.\n3. Compute d using d = q + 13, which gives d = 36.\n4. Compute b using b = d + 9, which gives b = 45.\n5. Compute x using x = b + 15, which gives x = 60.\n6. Compute z using z = x + 15, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 435,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 16; l = s + 18; q = u + 6; e = r + 17; u = y + 5; d = q + 13; n = i + 20; s = y + 20; i = e + 16; x = b + 15; z = x + 15; y = 12; b = d + 9. If y = 12, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 16", "q": "g + 6", "a": "q + 14", "y": "a + 2", "p": "y + 16", "f": "p + 17", "v": "m + 13", "d": "v + 16", "c": "d + 3", "u": "c + 16", "k": "u + 2", "b": "k + 13", "m": 18}, "premises": {"m": 18}, "target": "f"}, "answer": {"steps": [["g", "m + 16", 34], ["q", "g + 6", 40], ["a", "q + 14", 54], ["y", "a + 2", 56], ["p", "y + 16", 72], ["f", "p + 17", 89]], "target_var_name": "f", "target_value": 89, "value_dict": {"m": 18, "g": 34, "q": 40, "a": 54, "y": 56, "p": 72, "f": 89}, "is_reverse": false}} | 436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 16; p = y + 16; d = v + 16; c = d + 3; f = p + 17; a = q + 14; k = u + 2; b = k + 13; q = g + 6; m = 18; g = m + 16; y = a + 2; v = m + 13. If m = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = m + 16, which gives g = 34.\n2. Compute q using q = g + 6, which gives q = 40.\n3. Compute a using a = q + 14, which gives a = 54.\n4. Compute y using y = a + 2, which gives y = 56.\n5. Compute p using p = y + 16, which gives p = 72.\n6. Compute f using f = p + 17, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 16; p = y + 16; d = v + 16; c = d + 3; f = p + 17; a = q + 14; k = u + 2; b = k + 13; q = g + 6; m = 18; g = m + 16; y = a + 2; v = m + 13. If m = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 1", "g": "r + 10", "k": "g + 1", "f": "k + 18", "c": "f + 15", "e": "c + 16", "i": "n + 7", "p": "i + 2", "t": "p + 16", "j": "t + 7", "z": "j + 8", "u": "z + 13", "n": 13}, "premises": {"n": 13}, "target": "e"}, "answer": {"steps": [["r", "n + 1", 14], ["g", "r + 10", 24], ["k", "g + 1", 25], ["f", "k + 18", 43], ["c", "f + 15", 58], ["e", "c + 16", 74]], "target_var_name": "e", "target_value": 74, "value_dict": {"n": 13, "r": 14, "g": 24, "k": 25, "f": 43, "c": 58, "e": 74}, "is_reverse": false}} | 437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 15; f = k + 18; p = i + 2; i = n + 7; g = r + 10; u = z + 13; k = g + 1; z = j + 8; n = 13; t = p + 16; r = n + 1; j = t + 7; e = c + 16. If n = 13, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = n + 1, which gives r = 14.\n2. Compute g using g = r + 10, which gives g = 24.\n3. Compute k using k = g + 1, which gives k = 25.\n4. Compute f using f = k + 18, which gives f = 43.\n5. Compute c using c = f + 15, which gives c = 58.\n6. Compute e using e = c + 16, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 437,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 15; f = k + 18; p = i + 2; i = n + 7; g = r + 10; u = z + 13; k = g + 1; z = j + 8; n = 13; t = p + 16; r = n + 1; j = t + 7; e = c + 16. If n = 13, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 5", "x": "k + 14", "c": "x + 20", "w": "c + 5", "n": "w + 17", "i": "n + 18", "o": "z + 13", "g": "o + 4", "h": "g + 1", "f": "h + 15", "a": "f + 14", "s": "a + 18", "z": 17}, "premises": {"z": 17}, "target": "i"}, "answer": {"steps": [["k", "z + 5", 22], ["x", "k + 14", 36], ["c", "x + 20", 56], ["w", "c + 5", 61], ["n", "w + 17", 78], ["i", "n + 18", 96]], "target_var_name": "i", "target_value": 96, "value_dict": {"z": 17, "k": 22, "x": 36, "c": 56, "w": 61, "n": 78, "i": 96}, "is_reverse": false}} | 438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 18; g = o + 4; w = c + 5; n = w + 17; a = f + 14; f = h + 15; k = z + 5; x = k + 14; h = g + 1; z = 17; i = n + 18; o = z + 13; c = x + 20. If z = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = z + 5, which gives k = 22.\n2. Compute x using x = k + 14, which gives x = 36.\n3. Compute c using c = x + 20, which gives c = 56.\n4. Compute w using w = c + 5, which gives w = 61.\n5. Compute n using n = w + 17, which gives n = 78.\n6. Compute i using i = n + 18, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 438,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 18; g = o + 4; w = c + 5; n = w + 17; a = f + 14; f = h + 15; k = z + 5; x = k + 14; h = g + 1; z = 17; i = n + 18; o = z + 13; c = x + 20. If z = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 20", "k": "z + 13", "y": "k + 9", "t": "y + 15", "a": "t + 2", "f": "a + 18", "m": "h + 5", "g": "m + 19", "o": "g + 6", "x": "o + 15", "r": "x + 16", "q": "r + 18", "h": 15}, "premises": {"h": 15}, "target": "f"}, "answer": {"steps": [["z", "h + 20", 35], ["k", "z + 13", 48], ["y", "k + 9", 57], ["t", "y + 15", 72], ["a", "t + 2", 74], ["f", "a + 18", 92]], "target_var_name": "f", "target_value": 92, "value_dict": {"h": 15, "z": 35, "k": 48, "y": 57, "t": 72, "a": 74, "f": 92}, "is_reverse": false}} | 439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = o + 15; q = r + 18; m = h + 5; y = k + 9; g = m + 19; o = g + 6; t = y + 15; k = z + 13; f = a + 18; z = h + 20; a = t + 2; r = x + 16; h = 15. Given that h = 15, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = h + 20, which gives z = 35.\n2. Compute k using k = z + 13, which gives k = 48.\n3. Compute y using y = k + 9, which gives y = 57.\n4. Compute t using t = y + 15, which gives t = 72.\n5. Compute a using a = t + 2, which gives a = 74.\n6. Compute f using f = a + 18, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 439,
"question": "Suppose a collection of variables is related by the following definitions: x = o + 15; q = r + 18; m = h + 5; y = k + 9; g = m + 19; o = g + 6; t = y + 15; k = z + 13; f = a + 18; z = h + 20; a = t + 2; r = x + 16; h = 15. Given that h = 15, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 3", "t": "k + 7", "y": "t + 15", "e": "y + 1", "r": "e + 3", "z": "r + 20", "h": "g + 19", "v": "h + 2", "x": "v + 9", "u": "x + 10", "j": "u + 1", "s": "j + 20", "g": 13}, "premises": {"g": 13}, "target": "z"}, "answer": {"steps": [["k", "g + 3", 16], ["t", "k + 7", 23], ["y", "t + 15", 38], ["e", "y + 1", 39], ["r", "e + 3", 42], ["z", "r + 20", 62]], "target_var_name": "z", "target_value": 62, "value_dict": {"g": 13, "k": 16, "t": 23, "y": 38, "e": 39, "r": 42, "z": 62}, "is_reverse": false}} | 440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 15; j = u + 1; t = k + 7; k = g + 3; u = x + 10; s = j + 20; h = g + 19; e = y + 1; z = r + 20; v = h + 2; x = v + 9; r = e + 3; g = 13. Given that g = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = g + 3, which gives k = 16.\n2. Compute t using t = k + 7, which gives t = 23.\n3. Compute y using y = t + 15, which gives y = 38.\n4. Compute e using e = y + 1, which gives e = 39.\n5. Compute r using r = e + 3, which gives r = 42.\n6. Compute z using z = r + 20, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 440,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 15; j = u + 1; t = k + 7; k = g + 3; u = x + 10; s = j + 20; h = g + 19; e = y + 1; z = r + 20; v = h + 2; x = v + 9; r = e + 3; g = 13. Given that g = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 7", "r": "f + 2", "k": "r + 19", "p": "k + 13", "m": "p + 8", "w": "m + 17", "y": "j + 16", "z": "y + 17", "q": "z + 15", "x": "q + 19", "a": "x + 6", "c": "a + 1", "j": 17}, "premises": {"j": 17}, "target": "w"}, "answer": {"steps": [["f", "j + 7", 24], ["r", "f + 2", 26], ["k", "r + 19", 45], ["p", "k + 13", 58], ["m", "p + 8", 66], ["w", "m + 17", 83]], "target_var_name": "w", "target_value": 83, "value_dict": {"j": 17, "f": 24, "r": 26, "k": 45, "p": 58, "m": 66, "w": 83}, "is_reverse": false}} | 441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 1; m = p + 8; k = r + 19; j = 17; y = j + 16; r = f + 2; q = z + 15; a = x + 6; x = q + 19; z = y + 17; w = m + 17; p = k + 13; f = j + 7. If j = 17, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = j + 7, which gives f = 24.\n2. Compute r using r = f + 2, which gives r = 26.\n3. Compute k using k = r + 19, which gives k = 45.\n4. Compute p using p = k + 13, which gives p = 58.\n5. Compute m using m = p + 8, which gives m = 66.\n6. Compute w using w = m + 17, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 441,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 1; m = p + 8; k = r + 19; j = 17; y = j + 16; r = f + 2; q = z + 15; a = x + 6; x = q + 19; z = y + 17; w = m + 17; p = k + 13; f = j + 7. If j = 17, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 17", "l": "f + 3", "z": "l + 17", "h": "z + 14", "u": "h + 3", "a": "u + 17", "c": "i + 14", "q": "c + 18", "m": "q + 4", "n": "m + 11", "k": "n + 2", "v": "k + 1", "i": 7}, "premises": {"i": 7}, "target": "a"}, "answer": {"steps": [["f", "i + 17", 24], ["l", "f + 3", 27], ["z", "l + 17", 44], ["h", "z + 14", 58], ["u", "h + 3", 61], ["a", "u + 17", 78]], "target_var_name": "a", "target_value": 78, "value_dict": {"i": 7, "f": 24, "l": 27, "z": 44, "h": 58, "u": 61, "a": 78}, "is_reverse": false}} | 442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 3; c = i + 14; q = c + 18; n = m + 11; m = q + 4; i = 7; k = n + 2; f = i + 17; z = l + 17; v = k + 1; l = f + 3; a = u + 17; h = z + 14. If i = 7, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = i + 17, which gives f = 24.\n2. Compute l using l = f + 3, which gives l = 27.\n3. Compute z using z = l + 17, which gives z = 44.\n4. Compute h using h = z + 14, which gives h = 58.\n5. Compute u using u = h + 3, which gives u = 61.\n6. Compute a using a = u + 17, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 442,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 3; c = i + 14; q = c + 18; n = m + 11; m = q + 4; i = 7; k = n + 2; f = i + 17; z = l + 17; v = k + 1; l = f + 3; a = u + 17; h = z + 14. If i = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 19", "m": "v + 10", "l": "m + 6", "h": "l + 7", "o": "h + 8", "a": "o + 15", "y": "q + 3", "b": "y + 7", "t": "b + 16", "g": "t + 10", "w": "g + 12", "e": "w + 15", "q": 19}, "premises": {"q": 19}, "target": "a"}, "answer": {"steps": [["v", "q + 19", 38], ["m", "v + 10", 48], ["l", "m + 6", 54], ["h", "l + 7", 61], ["o", "h + 8", 69], ["a", "o + 15", 84]], "target_var_name": "a", "target_value": 84, "value_dict": {"q": 19, "v": 38, "m": 48, "l": 54, "h": 61, "o": 69, "a": 84}, "is_reverse": false}} | 443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = m + 6; e = w + 15; v = q + 19; y = q + 3; h = l + 7; q = 19; t = b + 16; o = h + 8; b = y + 7; m = v + 10; w = g + 12; g = t + 10; a = o + 15. If q = 19, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = q + 19, which gives v = 38.\n2. Compute m using m = v + 10, which gives m = 48.\n3. Compute l using l = m + 6, which gives l = 54.\n4. Compute h using h = l + 7, which gives h = 61.\n5. Compute o using o = h + 8, which gives o = 69.\n6. Compute a using a = o + 15, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 443,
"question": "Consider a system of variables where each variable is defined as follows: l = m + 6; e = w + 15; v = q + 19; y = q + 3; h = l + 7; q = 19; t = b + 16; o = h + 8; b = y + 7; m = v + 10; w = g + 12; g = t + 10; a = o + 15. If q = 19, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 19", "p": "c + 16", "u": "p + 2", "j": "u + 1", "d": "j + 2", "v": "d + 8", "z": "t + 20", "q": "z + 16", "a": "q + 5", "f": "a + 8", "h": "f + 10", "e": "h + 15", "t": 18}, "premises": {"t": 18}, "target": "v"}, "answer": {"steps": [["c", "t + 19", 37], ["p", "c + 16", 53], ["u", "p + 2", 55], ["j", "u + 1", 56], ["d", "j + 2", 58], ["v", "d + 8", 66]], "target_var_name": "v", "target_value": 66, "value_dict": {"t": 18, "c": 37, "p": 53, "u": 55, "j": 56, "d": 58, "v": 66}, "is_reverse": false}} | 444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = z + 16; v = d + 8; j = u + 1; d = j + 2; z = t + 20; a = q + 5; h = f + 10; p = c + 16; f = a + 8; e = h + 15; u = p + 2; c = t + 19; t = 18. Given that t = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = t + 19, which gives c = 37.\n2. Compute p using p = c + 16, which gives p = 53.\n3. Compute u using u = p + 2, which gives u = 55.\n4. Compute j using j = u + 1, which gives j = 56.\n5. Compute d using d = j + 2, which gives d = 58.\n6. Compute v using v = d + 8, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 444,
"question": "Suppose a collection of variables is related by the following definitions: q = z + 16; v = d + 8; j = u + 1; d = j + 2; z = t + 20; a = q + 5; h = f + 10; p = c + 16; f = a + 8; e = h + 15; u = p + 2; c = t + 19; t = 18. Given that t = 18, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 3", "l": "z + 15", "o": "l + 19", "d": "o + 19", "e": "d + 15", "v": "e + 10", "i": "m + 16", "q": "i + 7", "k": "q + 6", "j": "k + 1", "x": "j + 6", "u": "x + 11", "m": 20}, "premises": {"m": 20}, "target": "v"}, "answer": {"steps": [["z", "m + 3", 23], ["l", "z + 15", 38], ["o", "l + 19", 57], ["d", "o + 19", 76], ["e", "d + 15", 91], ["v", "e + 10", 101]], "target_var_name": "v", "target_value": 101, "value_dict": {"m": 20, "z": 23, "l": 38, "o": 57, "d": 76, "e": 91, "v": 101}, "is_reverse": false}} | 445 | 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 + 11; o = l + 19; v = e + 10; q = i + 7; k = q + 6; z = m + 3; m = 20; e = d + 15; i = m + 16; l = z + 15; x = j + 6; d = o + 19; j = k + 1. If m = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = m + 3, which gives z = 23.\n2. Compute l using l = z + 15, which gives l = 38.\n3. Compute o using o = l + 19, which gives o = 57.\n4. Compute d using d = o + 19, which gives d = 76.\n5. Compute e using e = d + 15, which gives e = 91.\n6. Compute v using v = e + 10, which gives v = 101.\n\nThus, the final answer is v = \\boxed{101}.",
"index": 445,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 11; o = l + 19; v = e + 10; q = i + 7; k = q + 6; z = m + 3; m = 20; e = d + 15; i = m + 16; l = z + 15; x = j + 6; d = o + 19; j = k + 1. If m = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 19", "z": "c + 17", "b": "z + 16", "x": "b + 5", "n": "x + 12", "u": "n + 16", "r": "y + 6", "d": "r + 10", "s": "d + 1", "a": "s + 1", "o": "a + 20", "h": "o + 10", "y": 14}, "premises": {"y": 14}, "target": "u"}, "answer": {"steps": [["c", "y + 19", 33], ["z", "c + 17", 50], ["b", "z + 16", 66], ["x", "b + 5", 71], ["n", "x + 12", 83], ["u", "n + 16", 99]], "target_var_name": "u", "target_value": 99, "value_dict": {"y": 14, "c": 33, "z": 50, "b": 66, "x": 71, "n": 83, "u": 99}, "is_reverse": false}} | 446 | 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 = x + 12; d = r + 10; o = a + 20; z = c + 17; h = o + 10; u = n + 16; b = z + 16; c = y + 19; s = d + 1; r = y + 6; a = s + 1; x = b + 5; y = 14. If y = 14, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 19, which gives c = 33.\n2. Compute z using z = c + 17, which gives z = 50.\n3. Compute b using b = z + 16, which gives b = 66.\n4. Compute x using x = b + 5, which gives x = 71.\n5. Compute n using n = x + 12, which gives n = 83.\n6. Compute u using u = n + 16, which gives u = 99.\n\nThus, the final answer is u = \\boxed{99}.",
"index": 446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 12; d = r + 10; o = a + 20; z = c + 17; h = o + 10; u = n + 16; b = z + 16; c = y + 19; s = d + 1; r = y + 6; a = s + 1; x = b + 5; y = 14. If y = 14, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 6", "q": "c + 19", "d": "q + 17", "w": "d + 15", "b": "w + 15", "v": "b + 3", "h": "k + 3", "f": "h + 9", "u": "f + 13", "j": "u + 20", "y": "j + 10", "s": "y + 9", "k": 9}, "premises": {"k": 9}, "target": "v"}, "answer": {"steps": [["c", "k + 6", 15], ["q", "c + 19", 34], ["d", "q + 17", 51], ["w", "d + 15", 66], ["b", "w + 15", 81], ["v", "b + 3", 84]], "target_var_name": "v", "target_value": 84, "value_dict": {"k": 9, "c": 15, "q": 34, "d": 51, "w": 66, "b": 81, "v": 84}, "is_reverse": false}} | 447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 15; f = h + 9; h = k + 3; j = u + 20; d = q + 17; s = y + 9; k = 9; q = c + 19; b = w + 15; v = b + 3; y = j + 10; c = k + 6; u = f + 13. If k = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = k + 6, which gives c = 15.\n2. Compute q using q = c + 19, which gives q = 34.\n3. Compute d using d = q + 17, which gives d = 51.\n4. Compute w using w = d + 15, which gives w = 66.\n5. Compute b using b = w + 15, which gives b = 81.\n6. Compute v using v = b + 3, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 447,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 15; f = h + 9; h = k + 3; j = u + 20; d = q + 17; s = y + 9; k = 9; q = c + 19; b = w + 15; v = b + 3; y = j + 10; c = k + 6; u = f + 13. If k = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 19", "o": "d + 20", "t": "o + 15", "a": "t + 17", "h": "a + 18", "c": "h + 17", "k": "f + 18", "u": "k + 9", "y": "u + 14", "r": "y + 7", "m": "r + 17", "i": "m + 14", "f": 16}, "premises": {"f": 16}, "target": "c"}, "answer": {"steps": [["d", "f + 19", 35], ["o", "d + 20", 55], ["t", "o + 15", 70], ["a", "t + 17", 87], ["h", "a + 18", 105], ["c", "h + 17", 122]], "target_var_name": "c", "target_value": 122, "value_dict": {"f": 16, "d": 35, "o": 55, "t": 70, "a": 87, "h": 105, "c": 122}, "is_reverse": false}} | 448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 18; o = d + 20; y = u + 14; i = m + 14; k = f + 18; c = h + 17; d = f + 19; m = r + 17; r = y + 7; u = k + 9; t = o + 15; f = 16; a = t + 17. If f = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 122,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = f + 19, which gives d = 35.\n2. Compute o using o = d + 20, which gives o = 55.\n3. Compute t using t = o + 15, which gives t = 70.\n4. Compute a using a = t + 17, which gives a = 87.\n5. Compute h using h = a + 18, which gives h = 105.\n6. Compute c using c = h + 17, which gives c = 122.\n\nThus, the final answer is c = \\boxed{122}.",
"index": 448,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 18; o = d + 20; y = u + 14; i = m + 14; k = f + 18; c = h + 17; d = f + 19; m = r + 17; r = y + 7; u = k + 9; t = o + 15; f = 16; a = t + 17. If f = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 20", "j": "q + 9", "t": "j + 10", "d": "t + 12", "v": "d + 7", "x": "v + 7", "p": "l + 14", "s": "p + 17", "u": "s + 9", "f": "u + 16", "h": "f + 2", "n": "h + 2", "l": 13}, "premises": {"l": 13}, "target": "x"}, "answer": {"steps": [["q", "l + 20", 33], ["j", "q + 9", 42], ["t", "j + 10", 52], ["d", "t + 12", 64], ["v", "d + 7", 71], ["x", "v + 7", 78]], "target_var_name": "x", "target_value": 78, "value_dict": {"l": 13, "q": 33, "j": 42, "t": 52, "d": 64, "v": 71, "x": 78}, "is_reverse": false}} | 449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 9; n = h + 2; h = f + 2; q = l + 20; j = q + 9; d = t + 12; x = v + 7; f = u + 16; p = l + 14; v = d + 7; s = p + 17; l = 13; t = j + 10. If l = 13, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = l + 20, which gives q = 33.\n2. Compute j using j = q + 9, which gives j = 42.\n3. Compute t using t = j + 10, which gives t = 52.\n4. Compute d using d = t + 12, which gives d = 64.\n5. Compute v using v = d + 7, which gives v = 71.\n6. Compute x using x = v + 7, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 449,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 9; n = h + 2; h = f + 2; q = l + 20; j = q + 9; d = t + 12; x = v + 7; f = u + 16; p = l + 14; v = d + 7; s = p + 17; l = 13; t = j + 10. If l = 13, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 3", "r": "u + 7", "f": "r + 4", "o": "f + 8", "x": "o + 11", "p": "x + 15", "l": "s + 2", "n": "l + 11", "k": "n + 20", "a": "k + 4", "w": "a + 14", "c": "w + 12", "s": 8}, "premises": {"s": 8}, "target": "p"}, "answer": {"steps": [["u", "s + 3", 11], ["r", "u + 7", 18], ["f", "r + 4", 22], ["o", "f + 8", 30], ["x", "o + 11", 41], ["p", "x + 15", 56]], "target_var_name": "p", "target_value": 56, "value_dict": {"s": 8, "u": 11, "r": 18, "f": 22, "o": 30, "x": 41, "p": 56}, "is_reverse": false}} | 450 | 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 = l + 11; p = x + 15; l = s + 2; o = f + 8; s = 8; u = s + 3; c = w + 12; f = r + 4; r = u + 7; k = n + 20; a = k + 4; x = o + 11; w = a + 14. If s = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = s + 3, which gives u = 11.\n2. Compute r using r = u + 7, which gives r = 18.\n3. Compute f using f = r + 4, which gives f = 22.\n4. Compute o using o = f + 8, which gives o = 30.\n5. Compute x using x = o + 11, which gives x = 41.\n6. Compute p using p = x + 15, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 11; p = x + 15; l = s + 2; o = f + 8; s = 8; u = s + 3; c = w + 12; f = r + 4; r = u + 7; k = n + 20; a = k + 4; x = o + 11; w = a + 14. If s = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 11", "q": "s + 15", "k": "q + 16", "w": "k + 17", "d": "w + 13", "r": "d + 19", "a": "h + 6", "v": "a + 12", "t": "v + 7", "i": "t + 13", "j": "i + 14", "f": "j + 19", "h": 3}, "premises": {"h": 3}, "target": "r"}, "answer": {"steps": [["s", "h + 11", 14], ["q", "s + 15", 29], ["k", "q + 16", 45], ["w", "k + 17", 62], ["d", "w + 13", 75], ["r", "d + 19", 94]], "target_var_name": "r", "target_value": 94, "value_dict": {"h": 3, "s": 14, "q": 29, "k": 45, "w": 62, "d": 75, "r": 94}, "is_reverse": false}} | 451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 17; r = d + 19; v = a + 12; d = w + 13; s = h + 11; k = q + 16; f = j + 19; j = i + 14; i = t + 13; q = s + 15; t = v + 7; h = 3; a = h + 6. Given that h = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = h + 11, which gives s = 14.\n2. Compute q using q = s + 15, which gives q = 29.\n3. Compute k using k = q + 16, which gives k = 45.\n4. Compute w using w = k + 17, which gives w = 62.\n5. Compute d using d = w + 13, which gives d = 75.\n6. Compute r using r = d + 19, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 451,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 17; r = d + 19; v = a + 12; d = w + 13; s = h + 11; k = q + 16; f = j + 19; j = i + 14; i = t + 13; q = s + 15; t = v + 7; h = 3; a = h + 6. Given that h = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 15", "g": "o + 15", "x": "g + 5", "b": "x + 18", "n": "b + 7", "m": "n + 8", "z": "e + 17", "p": "z + 5", "v": "p + 9", "k": "v + 12", "q": "k + 15", "h": "q + 4", "e": 3}, "premises": {"e": 3}, "target": "m"}, "answer": {"steps": [["o", "e + 15", 18], ["g", "o + 15", 33], ["x", "g + 5", 38], ["b", "x + 18", 56], ["n", "b + 7", 63], ["m", "n + 8", 71]], "target_var_name": "m", "target_value": 71, "value_dict": {"e": 3, "o": 18, "g": 33, "x": 38, "b": 56, "n": 63, "m": 71}, "is_reverse": false}} | 452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 9; k = v + 12; h = q + 4; b = x + 18; x = g + 5; p = z + 5; o = e + 15; n = b + 7; m = n + 8; g = o + 15; e = 3; q = k + 15; z = e + 17. If e = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = e + 15, which gives o = 18.\n2. Compute g using g = o + 15, which gives g = 33.\n3. Compute x using x = g + 5, which gives x = 38.\n4. Compute b using b = x + 18, which gives b = 56.\n5. Compute n using n = b + 7, which gives n = 63.\n6. Compute m using m = n + 8, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 452,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 9; k = v + 12; h = q + 4; b = x + 18; x = g + 5; p = z + 5; o = e + 15; n = b + 7; m = n + 8; g = o + 15; e = 3; q = k + 15; z = e + 17. If e = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 3", "c": "g + 15", "v": "c + 17", "b": "v + 13", "o": "b + 13", "l": "o + 3", "i": "z + 1", "n": "i + 15", "a": "n + 8", "p": "a + 16", "q": "p + 18", "s": "q + 10", "z": 9}, "premises": {"z": 9}, "target": "l"}, "answer": {"steps": [["g", "z + 3", 12], ["c", "g + 15", 27], ["v", "c + 17", 44], ["b", "v + 13", 57], ["o", "b + 13", 70], ["l", "o + 3", 73]], "target_var_name": "l", "target_value": 73, "value_dict": {"z": 9, "g": 12, "c": 27, "v": 44, "b": 57, "o": 70, "l": 73}, "is_reverse": false}} | 453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 1; s = q + 10; o = b + 13; v = c + 17; q = p + 18; a = n + 8; c = g + 15; z = 9; g = z + 3; p = a + 16; n = i + 15; l = o + 3; b = v + 13. If z = 9, determine 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. Compute g using g = z + 3, which gives g = 12.\n2. Compute c using c = g + 15, which gives c = 27.\n3. Compute v using v = c + 17, which gives v = 44.\n4. Compute b using b = v + 13, which gives b = 57.\n5. Compute o using o = b + 13, which gives o = 70.\n6. Compute l using l = o + 3, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 453,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 1; s = q + 10; o = b + 13; v = c + 17; q = p + 18; a = n + 8; c = g + 15; z = 9; g = z + 3; p = a + 16; n = i + 15; l = o + 3; b = v + 13. If z = 9, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 15", "z": "g + 11", "u": "z + 9", "y": "u + 19", "p": "y + 16", "q": "p + 17", "e": "s + 9", "v": "e + 9", "f": "v + 5", "b": "f + 1", "n": "b + 18", "r": "n + 5", "s": 1}, "premises": {"s": 1}, "target": "q"}, "answer": {"steps": [["g", "s + 15", 16], ["z", "g + 11", 27], ["u", "z + 9", 36], ["y", "u + 19", 55], ["p", "y + 16", 71], ["q", "p + 17", 88]], "target_var_name": "q", "target_value": 88, "value_dict": {"s": 1, "g": 16, "z": 27, "u": 36, "y": 55, "p": 71, "q": 88}, "is_reverse": false}} | 454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 11; y = u + 19; n = b + 18; u = z + 9; v = e + 9; e = s + 9; b = f + 1; g = s + 15; p = y + 16; s = 1; q = p + 17; f = v + 5; r = n + 5. If s = 1, what is the resulting 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. Compute g using g = s + 15, which gives g = 16.\n2. Compute z using z = g + 11, which gives z = 27.\n3. Compute u using u = z + 9, which gives u = 36.\n4. Compute y using y = u + 19, which gives y = 55.\n5. Compute p using p = y + 16, which gives p = 71.\n6. Compute q using q = p + 17, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 454,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 11; y = u + 19; n = b + 18; u = z + 9; v = e + 9; e = s + 9; b = f + 1; g = s + 15; p = y + 16; s = 1; q = p + 17; f = v + 5; r = n + 5. If s = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 7", "e": "y + 2", "f": "e + 3", "x": "f + 4", "r": "x + 14", "q": "r + 14", "d": "b + 20", "i": "d + 16", "n": "i + 8", "m": "n + 19", "w": "m + 1", "s": "w + 5", "b": 13}, "premises": {"b": 13}, "target": "q"}, "answer": {"steps": [["y", "b + 7", 20], ["e", "y + 2", 22], ["f", "e + 3", 25], ["x", "f + 4", 29], ["r", "x + 14", 43], ["q", "r + 14", 57]], "target_var_name": "q", "target_value": 57, "value_dict": {"b": 13, "y": 20, "e": 22, "f": 25, "x": 29, "r": 43, "q": 57}, "is_reverse": false}} | 455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 14; b = 13; m = n + 19; e = y + 2; n = i + 8; i = d + 16; d = b + 20; x = f + 4; w = m + 1; s = w + 5; y = b + 7; f = e + 3; q = r + 14. Given that b = 13, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = b + 7, which gives y = 20.\n2. Compute e using e = y + 2, which gives e = 22.\n3. Compute f using f = e + 3, which gives f = 25.\n4. Compute x using x = f + 4, which gives x = 29.\n5. Compute r using r = x + 14, which gives r = 43.\n6. Compute q using q = r + 14, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 455,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 14; b = 13; m = n + 19; e = y + 2; n = i + 8; i = d + 16; d = b + 20; x = f + 4; w = m + 1; s = w + 5; y = b + 7; f = e + 3; q = r + 14. Given that b = 13, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 7", "t": "n + 12", "v": "t + 6", "j": "v + 17", "l": "j + 19", "f": "l + 12", "x": "b + 13", "o": "x + 1", "q": "o + 17", "h": "q + 20", "u": "h + 6", "i": "u + 4", "b": 16}, "premises": {"b": 16}, "target": "f"}, "answer": {"steps": [["n", "b + 7", 23], ["t", "n + 12", 35], ["v", "t + 6", 41], ["j", "v + 17", 58], ["l", "j + 19", 77], ["f", "l + 12", 89]], "target_var_name": "f", "target_value": 89, "value_dict": {"b": 16, "n": 23, "t": 35, "v": 41, "j": 58, "l": 77, "f": 89}, "is_reverse": false}} | 456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 12; b = 16; i = u + 4; x = b + 13; o = x + 1; l = j + 19; v = t + 6; h = q + 20; j = v + 17; n = b + 7; u = h + 6; f = l + 12; q = o + 17. Given that b = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = b + 7, which gives n = 23.\n2. Compute t using t = n + 12, which gives t = 35.\n3. Compute v using v = t + 6, which gives v = 41.\n4. Compute j using j = v + 17, which gives j = 58.\n5. Compute l using l = j + 19, which gives l = 77.\n6. Compute f using f = l + 12, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 456,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 12; b = 16; i = u + 4; x = b + 13; o = x + 1; l = j + 19; v = t + 6; h = q + 20; j = v + 17; n = b + 7; u = h + 6; f = l + 12; q = o + 17. Given that b = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 13", "u": "f + 18", "j": "u + 1", "i": "j + 17", "s": "i + 19", "d": "s + 14", "e": "k + 1", "a": "e + 8", "q": "a + 18", "r": "q + 16", "b": "r + 11", "o": "b + 19", "k": 5}, "premises": {"k": 5}, "target": "d"}, "answer": {"steps": [["f", "k + 13", 18], ["u", "f + 18", 36], ["j", "u + 1", 37], ["i", "j + 17", 54], ["s", "i + 19", 73], ["d", "s + 14", 87]], "target_var_name": "d", "target_value": 87, "value_dict": {"k": 5, "f": 18, "u": 36, "j": 37, "i": 54, "s": 73, "d": 87}, "is_reverse": false}} | 457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 5; f = k + 13; b = r + 11; a = e + 8; s = i + 19; u = f + 18; d = s + 14; e = k + 1; q = a + 18; o = b + 19; j = u + 1; i = j + 17; r = q + 16. If k = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = k + 13, which gives f = 18.\n2. Compute u using u = f + 18, which gives u = 36.\n3. Compute j using j = u + 1, which gives j = 37.\n4. Compute i using i = j + 17, which gives i = 54.\n5. Compute s using s = i + 19, which gives s = 73.\n6. Compute d using d = s + 14, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 457,
"question": "Consider a system of variables where each variable is defined as follows: k = 5; f = k + 13; b = r + 11; a = e + 8; s = i + 19; u = f + 18; d = s + 14; e = k + 1; q = a + 18; o = b + 19; j = u + 1; i = j + 17; r = q + 16. If k = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 14", "s": "i + 13", "b": "s + 10", "e": "b + 16", "p": "e + 20", "u": "p + 4", "l": "r + 14", "c": "l + 2", "x": "c + 16", "m": "x + 1", "v": "m + 12", "w": "v + 1", "r": 3}, "premises": {"r": 3}, "target": "u"}, "answer": {"steps": [["i", "r + 14", 17], ["s", "i + 13", 30], ["b", "s + 10", 40], ["e", "b + 16", 56], ["p", "e + 20", 76], ["u", "p + 4", 80]], "target_var_name": "u", "target_value": 80, "value_dict": {"r": 3, "i": 17, "s": 30, "b": 40, "e": 56, "p": 76, "u": 80}, "is_reverse": false}} | 458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 14; w = v + 1; b = s + 10; i = r + 14; p = e + 20; r = 3; m = x + 1; s = i + 13; u = p + 4; e = b + 16; x = c + 16; c = l + 2; v = m + 12. If r = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = r + 14, which gives i = 17.\n2. Compute s using s = i + 13, which gives s = 30.\n3. Compute b using b = s + 10, which gives b = 40.\n4. Compute e using e = b + 16, which gives e = 56.\n5. Compute p using p = e + 20, which gives p = 76.\n6. Compute u using u = p + 4, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 14; w = v + 1; b = s + 10; i = r + 14; p = e + 20; r = 3; m = x + 1; s = i + 13; u = p + 4; e = b + 16; x = c + 16; c = l + 2; v = m + 12. If r = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 1", "u": "o + 6", "x": "u + 16", "w": "x + 19", "p": "w + 4", "v": "p + 7", "l": "r + 18", "q": "l + 4", "j": "q + 9", "y": "j + 3", "g": "y + 1", "k": "g + 12", "r": 3}, "premises": {"r": 3}, "target": "v"}, "answer": {"steps": [["o", "r + 1", 4], ["u", "o + 6", 10], ["x", "u + 16", 26], ["w", "x + 19", 45], ["p", "w + 4", 49], ["v", "p + 7", 56]], "target_var_name": "v", "target_value": 56, "value_dict": {"r": 3, "o": 4, "u": 10, "x": 26, "w": 45, "p": 49, "v": 56}, "is_reverse": false}} | 459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 19; k = g + 12; v = p + 7; x = u + 16; g = y + 1; j = q + 9; r = 3; y = j + 3; q = l + 4; l = r + 18; p = w + 4; u = o + 6; o = r + 1. If r = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = r + 1, which gives o = 4.\n2. Compute u using u = o + 6, which gives u = 10.\n3. Compute x using x = u + 16, which gives x = 26.\n4. Compute w using w = x + 19, which gives w = 45.\n5. Compute p using p = w + 4, which gives p = 49.\n6. Compute v using v = p + 7, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 459,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 19; k = g + 12; v = p + 7; x = u + 16; g = y + 1; j = q + 9; r = 3; y = j + 3; q = l + 4; l = r + 18; p = w + 4; u = o + 6; o = r + 1. If r = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 17", "a": "b + 8", "j": "a + 15", "n": "j + 12", "z": "n + 14", "f": "z + 12", "x": "e + 11", "l": "x + 11", "k": "l + 1", "h": "k + 10", "v": "h + 5", "t": "v + 11", "e": 15}, "premises": {"e": 15}, "target": "f"}, "answer": {"steps": [["b", "e + 17", 32], ["a", "b + 8", 40], ["j", "a + 15", 55], ["n", "j + 12", 67], ["z", "n + 14", 81], ["f", "z + 12", 93]], "target_var_name": "f", "target_value": 93, "value_dict": {"e": 15, "b": 32, "a": 40, "j": 55, "n": 67, "z": 81, "f": 93}, "is_reverse": false}} | 460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 11; n = j + 12; b = e + 17; f = z + 12; a = b + 8; j = a + 15; z = n + 14; v = h + 5; h = k + 10; x = e + 11; k = l + 1; e = 15; t = v + 11. If e = 15, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = e + 17, which gives b = 32.\n2. Compute a using a = b + 8, which gives a = 40.\n3. Compute j using j = a + 15, which gives j = 55.\n4. Compute n using n = j + 12, which gives n = 67.\n5. Compute z using z = n + 14, which gives z = 81.\n6. Compute f using f = z + 12, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 460,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 11; n = j + 12; b = e + 17; f = z + 12; a = b + 8; j = a + 15; z = n + 14; v = h + 5; h = k + 10; x = e + 11; k = l + 1; e = 15; t = v + 11. If e = 15, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 1", "n": "b + 17", "i": "n + 13", "u": "i + 15", "c": "u + 9", "k": "c + 16", "h": "o + 7", "j": "h + 3", "y": "j + 20", "f": "y + 1", "t": "f + 4", "w": "t + 14", "o": 17}, "premises": {"o": 17}, "target": "k"}, "answer": {"steps": [["b", "o + 1", 18], ["n", "b + 17", 35], ["i", "n + 13", 48], ["u", "i + 15", 63], ["c", "u + 9", 72], ["k", "c + 16", 88]], "target_var_name": "k", "target_value": 88, "value_dict": {"o": 17, "b": 18, "n": 35, "i": 48, "u": 63, "c": 72, "k": 88}, "is_reverse": false}} | 461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 3; h = o + 7; w = t + 14; k = c + 16; n = b + 17; y = j + 20; t = f + 4; i = n + 13; u = i + 15; o = 17; b = o + 1; c = u + 9; f = y + 1. If o = 17, determine 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. Compute b using b = o + 1, which gives b = 18.\n2. Compute n using n = b + 17, which gives n = 35.\n3. Compute i using i = n + 13, which gives i = 48.\n4. Compute u using u = i + 15, which gives u = 63.\n5. Compute c using c = u + 9, which gives c = 72.\n6. Compute k using k = c + 16, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 461,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 3; h = o + 7; w = t + 14; k = c + 16; n = b + 17; y = j + 20; t = f + 4; i = n + 13; u = i + 15; o = 17; b = o + 1; c = u + 9; f = y + 1. If o = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 9", "o": "m + 8", "d": "o + 5", "y": "d + 12", "j": "y + 18", "v": "j + 20", "q": "p + 5", "s": "q + 9", "a": "s + 12", "n": "a + 15", "x": "n + 9", "g": "x + 7", "p": 12}, "premises": {"p": 12}, "target": "v"}, "answer": {"steps": [["m", "p + 9", 21], ["o", "m + 8", 29], ["d", "o + 5", 34], ["y", "d + 12", 46], ["j", "y + 18", 64], ["v", "j + 20", 84]], "target_var_name": "v", "target_value": 84, "value_dict": {"p": 12, "m": 21, "o": 29, "d": 34, "y": 46, "j": 64, "v": 84}, "is_reverse": false}} | 462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 8; s = q + 9; p = 12; v = j + 20; g = x + 7; y = d + 12; m = p + 9; n = a + 15; a = s + 12; d = o + 5; x = n + 9; j = y + 18; q = p + 5. If p = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = p + 9, which gives m = 21.\n2. Compute o using o = m + 8, which gives o = 29.\n3. Compute d using d = o + 5, which gives d = 34.\n4. Compute y using y = d + 12, which gives y = 46.\n5. Compute j using j = y + 18, which gives j = 64.\n6. Compute v using v = j + 20, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 8; s = q + 9; p = 12; v = j + 20; g = x + 7; y = d + 12; m = p + 9; n = a + 15; a = s + 12; d = o + 5; x = n + 9; j = y + 18; q = p + 5. If p = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 15", "v": "g + 10", "k": "v + 10", "f": "k + 11", "m": "f + 11", "n": "m + 3", "p": "l + 18", "q": "p + 10", "x": "q + 18", "h": "x + 11", "j": "h + 5", "z": "j + 19", "l": 18}, "premises": {"l": 18}, "target": "n"}, "answer": {"steps": [["g", "l + 15", 33], ["v", "g + 10", 43], ["k", "v + 10", 53], ["f", "k + 11", 64], ["m", "f + 11", 75], ["n", "m + 3", 78]], "target_var_name": "n", "target_value": 78, "value_dict": {"l": 18, "g": 33, "v": 43, "k": 53, "f": 64, "m": 75, "n": 78}, "is_reverse": false}} | 463 | 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 = m + 3; x = q + 18; g = l + 15; k = v + 10; z = j + 19; q = p + 10; l = 18; f = k + 11; j = h + 5; m = f + 11; v = g + 10; h = x + 11; p = l + 18. If l = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = l + 15, which gives g = 33.\n2. Compute v using v = g + 10, which gives v = 43.\n3. Compute k using k = v + 10, which gives k = 53.\n4. Compute f using f = k + 11, which gives f = 64.\n5. Compute m using m = f + 11, which gives m = 75.\n6. Compute n using n = m + 3, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 463,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 3; x = q + 18; g = l + 15; k = v + 10; z = j + 19; q = p + 10; l = 18; f = k + 11; j = h + 5; m = f + 11; v = g + 10; h = x + 11; p = l + 18. If l = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 8", "e": "v + 9", "t": "e + 10", "u": "t + 18", "s": "u + 2", "n": "s + 18", "i": "r + 1", "j": "i + 5", "p": "j + 12", "w": "p + 17", "l": "w + 18", "z": "l + 12", "r": 16}, "premises": {"r": 16}, "target": "n"}, "answer": {"steps": [["v", "r + 8", 24], ["e", "v + 9", 33], ["t", "e + 10", 43], ["u", "t + 18", 61], ["s", "u + 2", 63], ["n", "s + 18", 81]], "target_var_name": "n", "target_value": 81, "value_dict": {"r": 16, "v": 24, "e": 33, "t": 43, "u": 61, "s": 63, "n": 81}, "is_reverse": false}} | 464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 1; p = j + 12; v = r + 8; t = e + 10; l = w + 18; j = i + 5; s = u + 2; n = s + 18; u = t + 18; z = l + 12; e = v + 9; r = 16; w = p + 17. If r = 16, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = r + 8, which gives v = 24.\n2. Compute e using e = v + 9, which gives e = 33.\n3. Compute t using t = e + 10, which gives t = 43.\n4. Compute u using u = t + 18, which gives u = 61.\n5. Compute s using s = u + 2, which gives s = 63.\n6. Compute n using n = s + 18, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 464,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 1; p = j + 12; v = r + 8; t = e + 10; l = w + 18; j = i + 5; s = u + 2; n = s + 18; u = t + 18; z = l + 12; e = v + 9; r = 16; w = p + 17. If r = 16, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 19", "v": "q + 6", "u": "v + 5", "j": "u + 4", "e": "j + 15", "b": "e + 14", "o": "g + 14", "d": "o + 2", "x": "d + 3", "n": "x + 6", "w": "n + 6", "f": "w + 16", "g": 10}, "premises": {"g": 10}, "target": "b"}, "answer": {"steps": [["q", "g + 19", 29], ["v", "q + 6", 35], ["u", "v + 5", 40], ["j", "u + 4", 44], ["e", "j + 15", 59], ["b", "e + 14", 73]], "target_var_name": "b", "target_value": 73, "value_dict": {"g": 10, "q": 29, "v": 35, "u": 40, "j": 44, "e": 59, "b": 73}, "is_reverse": false}} | 465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 4; u = v + 5; f = w + 16; e = j + 15; b = e + 14; v = q + 6; o = g + 14; d = o + 2; x = d + 3; q = g + 19; w = n + 6; g = 10; n = x + 6. If g = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = g + 19, which gives q = 29.\n2. Compute v using v = q + 6, which gives v = 35.\n3. Compute u using u = v + 5, which gives u = 40.\n4. Compute j using j = u + 4, which gives j = 44.\n5. Compute e using e = j + 15, which gives e = 59.\n6. Compute b using b = e + 14, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 465,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 4; u = v + 5; f = w + 16; e = j + 15; b = e + 14; v = q + 6; o = g + 14; d = o + 2; x = d + 3; q = g + 19; w = n + 6; g = 10; n = x + 6. If g = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 5", "v": "y + 19", "p": "v + 5", "x": "p + 12", "o": "x + 1", "u": "o + 10", "z": "w + 14", "m": "z + 2", "r": "m + 9", "q": "r + 1", "g": "q + 6", "f": "g + 14", "w": 12}, "premises": {"w": 12}, "target": "u"}, "answer": {"steps": [["y", "w + 5", 17], ["v", "y + 19", 36], ["p", "v + 5", 41], ["x", "p + 12", 53], ["o", "x + 1", 54], ["u", "o + 10", 64]], "target_var_name": "u", "target_value": 64, "value_dict": {"w": 12, "y": 17, "v": 36, "p": 41, "x": 53, "o": 54, "u": 64}, "is_reverse": false}} | 466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = o + 10; p = v + 5; f = g + 14; x = p + 12; g = q + 6; w = 12; q = r + 1; v = y + 19; m = z + 2; y = w + 5; z = w + 14; o = x + 1; r = m + 9. If w = 12, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = w + 5, which gives y = 17.\n2. Compute v using v = y + 19, which gives v = 36.\n3. Compute p using p = v + 5, which gives p = 41.\n4. Compute x using x = p + 12, which gives x = 53.\n5. Compute o using o = x + 1, which gives o = 54.\n6. Compute u using u = o + 10, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 466,
"question": "Consider a system of variables where each variable is defined as follows: u = o + 10; p = v + 5; f = g + 14; x = p + 12; g = q + 6; w = 12; q = r + 1; v = y + 19; m = z + 2; y = w + 5; z = w + 14; o = x + 1; r = m + 9. If w = 12, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 9", "w": "y + 1", "b": "w + 20", "r": "b + 8", "e": "r + 16", "j": "e + 18", "q": "a + 3", "m": "q + 14", "i": "m + 16", "l": "i + 19", "z": "l + 18", "d": "z + 9", "a": 17}, "premises": {"a": 17}, "target": "j"}, "answer": {"steps": [["y", "a + 9", 26], ["w", "y + 1", 27], ["b", "w + 20", 47], ["r", "b + 8", 55], ["e", "r + 16", 71], ["j", "e + 18", 89]], "target_var_name": "j", "target_value": 89, "value_dict": {"a": 17, "y": 26, "w": 27, "b": 47, "r": 55, "e": 71, "j": 89}, "is_reverse": false}} | 467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 17; j = e + 18; y = a + 9; r = b + 8; d = z + 9; b = w + 20; e = r + 16; w = y + 1; l = i + 19; m = q + 14; q = a + 3; z = l + 18; i = m + 16. If a = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = a + 9, which gives y = 26.\n2. Compute w using w = y + 1, which gives w = 27.\n3. Compute b using b = w + 20, which gives b = 47.\n4. Compute r using r = b + 8, which gives r = 55.\n5. Compute e using e = r + 16, which gives e = 71.\n6. Compute j using j = e + 18, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 467,
"question": "Consider a system of variables where each variable is defined as follows: a = 17; j = e + 18; y = a + 9; r = b + 8; d = z + 9; b = w + 20; e = r + 16; w = y + 1; l = i + 19; m = q + 14; q = a + 3; z = l + 18; i = m + 16. If a = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 10", "e": "v + 4", "d": "e + 4", "y": "d + 19", "i": "y + 4", "l": "i + 16", "p": "w + 5", "o": "p + 15", "x": "o + 13", "q": "x + 14", "m": "q + 15", "s": "m + 7", "w": 12}, "premises": {"w": 12}, "target": "l"}, "answer": {"steps": [["v", "w + 10", 22], ["e", "v + 4", 26], ["d", "e + 4", 30], ["y", "d + 19", 49], ["i", "y + 4", 53], ["l", "i + 16", 69]], "target_var_name": "l", "target_value": 69, "value_dict": {"w": 12, "v": 22, "e": 26, "d": 30, "y": 49, "i": 53, "l": 69}, "is_reverse": false}} | 468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 4; w = 12; y = d + 19; o = p + 15; p = w + 5; i = y + 4; d = e + 4; s = m + 7; l = i + 16; v = w + 10; q = x + 14; m = q + 15; x = o + 13. If w = 12, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = w + 10, which gives v = 22.\n2. Compute e using e = v + 4, which gives e = 26.\n3. Compute d using d = e + 4, which gives d = 30.\n4. Compute y using y = d + 19, which gives y = 49.\n5. Compute i using i = y + 4, which gives i = 53.\n6. Compute l using l = i + 16, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 468,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 4; w = 12; y = d + 19; o = p + 15; p = w + 5; i = y + 4; d = e + 4; s = m + 7; l = i + 16; v = w + 10; q = x + 14; m = q + 15; x = o + 13. If w = 12, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 12", "w": "g + 15", "r": "w + 18", "k": "r + 11", "y": "k + 5", "n": "y + 19", "e": "u + 7", "q": "e + 6", "b": "q + 7", "i": "b + 5", "a": "i + 13", "z": "a + 17", "u": 20}, "premises": {"u": 20}, "target": "n"}, "answer": {"steps": [["g", "u + 12", 32], ["w", "g + 15", 47], ["r", "w + 18", 65], ["k", "r + 11", 76], ["y", "k + 5", 81], ["n", "y + 19", 100]], "target_var_name": "n", "target_value": 100, "value_dict": {"u": 20, "g": 32, "w": 47, "r": 65, "k": 76, "y": 81, "n": 100}, "is_reverse": false}} | 469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = u + 12; q = e + 6; n = y + 19; r = w + 18; a = i + 13; b = q + 7; i = b + 5; u = 20; e = u + 7; z = a + 17; w = g + 15; k = r + 11; y = k + 5. If u = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = u + 12, which gives g = 32.\n2. Compute w using w = g + 15, which gives w = 47.\n3. Compute r using r = w + 18, which gives r = 65.\n4. Compute k using k = r + 11, which gives k = 76.\n5. Compute y using y = k + 5, which gives y = 81.\n6. Compute n using n = y + 19, which gives n = 100.\n\nThus, the final answer is n = \\boxed{100}.",
"index": 469,
"question": "Consider a system of variables where each variable is defined as follows: g = u + 12; q = e + 6; n = y + 19; r = w + 18; a = i + 13; b = q + 7; i = b + 5; u = 20; e = u + 7; z = a + 17; w = g + 15; k = r + 11; y = k + 5. If u = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 11", "x": "d + 9", "l": "x + 2", "u": "l + 14", "k": "u + 14", "h": "k + 7", "i": "r + 19", "g": "i + 5", "s": "g + 14", "v": "s + 2", "n": "v + 12", "t": "n + 7", "r": 19}, "premises": {"r": 19}, "target": "h"}, "answer": {"steps": [["d", "r + 11", 30], ["x", "d + 9", 39], ["l", "x + 2", 41], ["u", "l + 14", 55], ["k", "u + 14", 69], ["h", "k + 7", 76]], "target_var_name": "h", "target_value": 76, "value_dict": {"r": 19, "d": 30, "x": 39, "l": 41, "u": 55, "k": 69, "h": 76}, "is_reverse": false}} | 470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 2; n = v + 12; r = 19; g = i + 5; d = r + 11; k = u + 14; l = x + 2; s = g + 14; u = l + 14; h = k + 7; t = n + 7; x = d + 9; i = r + 19. If r = 19, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = r + 11, which gives d = 30.\n2. Compute x using x = d + 9, which gives x = 39.\n3. Compute l using l = x + 2, which gives l = 41.\n4. Compute u using u = l + 14, which gives u = 55.\n5. Compute k using k = u + 14, which gives k = 69.\n6. Compute h using h = k + 7, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 2; n = v + 12; r = 19; g = i + 5; d = r + 11; k = u + 14; l = x + 2; s = g + 14; u = l + 14; h = k + 7; t = n + 7; x = d + 9; i = r + 19. If r = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 3", "b": "r + 12", "t": "b + 14", "a": "t + 19", "v": "a + 7", "c": "v + 7", "f": "k + 1", "s": "f + 15", "y": "s + 20", "i": "y + 1", "h": "i + 12", "n": "h + 12", "k": 16}, "premises": {"k": 16}, "target": "c"}, "answer": {"steps": [["r", "k + 3", 19], ["b", "r + 12", 31], ["t", "b + 14", 45], ["a", "t + 19", 64], ["v", "a + 7", 71], ["c", "v + 7", 78]], "target_var_name": "c", "target_value": 78, "value_dict": {"k": 16, "r": 19, "b": 31, "t": 45, "a": 64, "v": 71, "c": 78}, "is_reverse": false}} | 471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 14; n = h + 12; f = k + 1; y = s + 20; c = v + 7; r = k + 3; v = a + 7; i = y + 1; k = 16; h = i + 12; a = t + 19; b = r + 12; s = f + 15. If k = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = k + 3, which gives r = 19.\n2. Compute b using b = r + 12, which gives b = 31.\n3. Compute t using t = b + 14, which gives t = 45.\n4. Compute a using a = t + 19, which gives a = 64.\n5. Compute v using v = a + 7, which gives v = 71.\n6. Compute c using c = v + 7, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 471,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 14; n = h + 12; f = k + 1; y = s + 20; c = v + 7; r = k + 3; v = a + 7; i = y + 1; k = 16; h = i + 12; a = t + 19; b = r + 12; s = f + 15. If k = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 16", "a": "q + 17", "c": "a + 17", "d": "c + 15", "s": "d + 18", "j": "s + 8", "f": "y + 15", "k": "f + 3", "w": "k + 19", "o": "w + 19", "e": "o + 2", "m": "e + 18", "y": 13}, "premises": {"y": 13}, "target": "j"}, "answer": {"steps": [["q", "y + 16", 29], ["a", "q + 17", 46], ["c", "a + 17", 63], ["d", "c + 15", 78], ["s", "d + 18", 96], ["j", "s + 8", 104]], "target_var_name": "j", "target_value": 104, "value_dict": {"y": 13, "q": 29, "a": 46, "c": 63, "d": 78, "s": 96, "j": 104}, "is_reverse": false}} | 472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 18; e = o + 2; c = a + 17; m = e + 18; y = 13; a = q + 17; k = f + 3; d = c + 15; j = s + 8; f = y + 15; o = w + 19; q = y + 16; w = k + 19. Given that y = 13, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = y + 16, which gives q = 29.\n2. Compute a using a = q + 17, which gives a = 46.\n3. Compute c using c = a + 17, which gives c = 63.\n4. Compute d using d = c + 15, which gives d = 78.\n5. Compute s using s = d + 18, which gives s = 96.\n6. Compute j using j = s + 8, which gives j = 104.\n\nThus, the final answer is j = \\boxed{104}.",
"index": 472,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 18; e = o + 2; c = a + 17; m = e + 18; y = 13; a = q + 17; k = f + 3; d = c + 15; j = s + 8; f = y + 15; o = w + 19; q = y + 16; w = k + 19. Given that y = 13, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 18", "m": "u + 17", "q": "m + 16", "k": "q + 14", "p": "k + 5", "x": "p + 14", "j": "e + 5", "t": "j + 1", "o": "t + 14", "y": "o + 5", "b": "y + 18", "i": "b + 14", "e": 2}, "premises": {"e": 2}, "target": "x"}, "answer": {"steps": [["u", "e + 18", 20], ["m", "u + 17", 37], ["q", "m + 16", 53], ["k", "q + 14", 67], ["p", "k + 5", 72], ["x", "p + 14", 86]], "target_var_name": "x", "target_value": 86, "value_dict": {"e": 2, "u": 20, "m": 37, "q": 53, "k": 67, "p": 72, "x": 86}, "is_reverse": false}} | 473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 5; o = t + 14; p = k + 5; e = 2; t = j + 1; m = u + 17; q = m + 16; k = q + 14; b = y + 18; u = e + 18; i = b + 14; x = p + 14; j = e + 5. If e = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = e + 18, which gives u = 20.\n2. Compute m using m = u + 17, which gives m = 37.\n3. Compute q using q = m + 16, which gives q = 53.\n4. Compute k using k = q + 14, which gives k = 67.\n5. Compute p using p = k + 5, which gives p = 72.\n6. Compute x using x = p + 14, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 473,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 5; o = t + 14; p = k + 5; e = 2; t = j + 1; m = u + 17; q = m + 16; k = q + 14; b = y + 18; u = e + 18; i = b + 14; x = p + 14; j = e + 5. If e = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 5", "o": "v + 10", "i": "o + 2", "k": "i + 4", "w": "k + 4", "x": "w + 1", "b": "f + 20", "j": "b + 8", "q": "j + 3", "a": "q + 9", "c": "a + 18", "e": "c + 15", "f": 7}, "premises": {"f": 7}, "target": "x"}, "answer": {"steps": [["v", "f + 5", 12], ["o", "v + 10", 22], ["i", "o + 2", 24], ["k", "i + 4", 28], ["w", "k + 4", 32], ["x", "w + 1", 33]], "target_var_name": "x", "target_value": 33, "value_dict": {"f": 7, "v": 12, "o": 22, "i": 24, "k": 28, "w": 32, "x": 33}, "is_reverse": false}} | 474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 5; f = 7; i = o + 2; w = k + 4; e = c + 15; j = b + 8; c = a + 18; k = i + 4; q = j + 3; o = v + 10; a = q + 9; x = w + 1; b = f + 20. If f = 7, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = f + 5, which gives v = 12.\n2. Compute o using o = v + 10, which gives o = 22.\n3. Compute i using i = o + 2, which gives i = 24.\n4. Compute k using k = i + 4, which gives k = 28.\n5. Compute w using w = k + 4, which gives w = 32.\n6. Compute x using x = w + 1, which gives x = 33.\n\nThus, the final answer is x = \\boxed{33}.",
"index": 474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 5; f = 7; i = o + 2; w = k + 4; e = c + 15; j = b + 8; c = a + 18; k = i + 4; q = j + 3; o = v + 10; a = q + 9; x = w + 1; b = f + 20. If f = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 2", "n": "m + 6", "p": "n + 7", "s": "p + 7", "k": "s + 11", "j": "k + 20", "v": "o + 13", "i": "v + 11", "g": "i + 18", "y": "g + 9", "x": "y + 11", "a": "x + 16", "o": 16}, "premises": {"o": 16}, "target": "j"}, "answer": {"steps": [["m", "o + 2", 18], ["n", "m + 6", 24], ["p", "n + 7", 31], ["s", "p + 7", 38], ["k", "s + 11", 49], ["j", "k + 20", 69]], "target_var_name": "j", "target_value": 69, "value_dict": {"o": 16, "m": 18, "n": 24, "p": 31, "s": 38, "k": 49, "j": 69}, "is_reverse": false}} | 475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 7; s = p + 7; i = v + 11; o = 16; m = o + 2; j = k + 20; k = s + 11; y = g + 9; x = y + 11; v = o + 13; a = x + 16; n = m + 6; g = i + 18. If o = 16, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = o + 2, which gives m = 18.\n2. Compute n using n = m + 6, which gives n = 24.\n3. Compute p using p = n + 7, which gives p = 31.\n4. Compute s using s = p + 7, which gives s = 38.\n5. Compute k using k = s + 11, which gives k = 49.\n6. Compute j using j = k + 20, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 475,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 7; s = p + 7; i = v + 11; o = 16; m = o + 2; j = k + 20; k = s + 11; y = g + 9; x = y + 11; v = o + 13; a = x + 16; n = m + 6; g = i + 18. If o = 16, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 5", "s": "l + 17", "w": "s + 18", "t": "w + 5", "z": "t + 4", "d": "z + 5", "m": "o + 3", "h": "m + 12", "e": "h + 4", "y": "e + 20", "n": "y + 14", "r": "n + 20", "o": 15}, "premises": {"o": 15}, "target": "d"}, "answer": {"steps": [["l", "o + 5", 20], ["s", "l + 17", 37], ["w", "s + 18", 55], ["t", "w + 5", 60], ["z", "t + 4", 64], ["d", "z + 5", 69]], "target_var_name": "d", "target_value": 69, "value_dict": {"o": 15, "l": 20, "s": 37, "w": 55, "t": 60, "z": 64, "d": 69}, "is_reverse": false}} | 476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 5; d = z + 5; z = t + 4; r = n + 20; o = 15; m = o + 3; h = m + 12; e = h + 4; n = y + 14; w = s + 18; y = e + 20; t = w + 5; s = l + 17. Given that o = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = o + 5, which gives l = 20.\n2. Compute s using s = l + 17, which gives s = 37.\n3. Compute w using w = s + 18, which gives w = 55.\n4. Compute t using t = w + 5, which gives t = 60.\n5. Compute z using z = t + 4, which gives z = 64.\n6. Compute d using d = z + 5, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 476,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 5; d = z + 5; z = t + 4; r = n + 20; o = 15; m = o + 3; h = m + 12; e = h + 4; n = y + 14; w = s + 18; y = e + 20; t = w + 5; s = l + 17. Given that o = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 3", "p": "o + 3", "t": "p + 8", "w": "t + 16", "f": "w + 12", "k": "f + 5", "u": "a + 3", "c": "u + 18", "z": "c + 18", "n": "z + 17", "s": "n + 13", "h": "s + 13", "a": 5}, "premises": {"a": 5}, "target": "k"}, "answer": {"steps": [["o", "a + 3", 8], ["p", "o + 3", 11], ["t", "p + 8", 19], ["w", "t + 16", 35], ["f", "w + 12", 47], ["k", "f + 5", 52]], "target_var_name": "k", "target_value": 52, "value_dict": {"a": 5, "o": 8, "p": 11, "t": 19, "w": 35, "f": 47, "k": 52}, "is_reverse": false}} | 477 | 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 = w + 12; h = s + 13; a = 5; p = o + 3; t = p + 8; c = u + 18; s = n + 13; z = c + 18; u = a + 3; o = a + 3; w = t + 16; k = f + 5; n = z + 17. If a = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = a + 3, which gives o = 8.\n2. Compute p using p = o + 3, which gives p = 11.\n3. Compute t using t = p + 8, which gives t = 19.\n4. Compute w using w = t + 16, which gives w = 35.\n5. Compute f using f = w + 12, which gives f = 47.\n6. Compute k using k = f + 5, which gives k = 52.\n\nThus, the final answer is k = \\boxed{52}.",
"index": 477,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 12; h = s + 13; a = 5; p = o + 3; t = p + 8; c = u + 18; s = n + 13; z = c + 18; u = a + 3; o = a + 3; w = t + 16; k = f + 5; n = z + 17. If a = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 10", "l": "w + 17", "k": "l + 13", "a": "k + 11", "e": "a + 5", "c": "e + 8", "q": "v + 14", "u": "q + 8", "m": "u + 13", "f": "m + 10", "g": "f + 18", "h": "g + 1", "v": 7}, "premises": {"v": 7}, "target": "c"}, "answer": {"steps": [["w", "v + 10", 17], ["l", "w + 17", 34], ["k", "l + 13", 47], ["a", "k + 11", 58], ["e", "a + 5", 63], ["c", "e + 8", 71]], "target_var_name": "c", "target_value": 71, "value_dict": {"v": 7, "w": 17, "l": 34, "k": 47, "a": 58, "e": 63, "c": 71}, "is_reverse": false}} | 478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 13; k = l + 13; c = e + 8; w = v + 10; e = a + 5; h = g + 1; v = 7; q = v + 14; f = m + 10; g = f + 18; u = q + 8; a = k + 11; l = w + 17. If v = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = v + 10, which gives w = 17.\n2. Compute l using l = w + 17, which gives l = 34.\n3. Compute k using k = l + 13, which gives k = 47.\n4. Compute a using a = k + 11, which gives a = 58.\n5. Compute e using e = a + 5, which gives e = 63.\n6. Compute c using c = e + 8, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 478,
"question": "Consider a system of variables where each variable is defined as follows: m = u + 13; k = l + 13; c = e + 8; w = v + 10; e = a + 5; h = g + 1; v = 7; q = v + 14; f = m + 10; g = f + 18; u = q + 8; a = k + 11; l = w + 17. If v = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 17", "w": "e + 13", "u": "w + 16", "l": "u + 13", "v": "l + 19", "a": "v + 20", "s": "q + 11", "m": "s + 18", "x": "m + 7", "c": "x + 14", "d": "c + 11", "b": "d + 3", "q": 5}, "premises": {"q": 5}, "target": "a"}, "answer": {"steps": [["e", "q + 17", 22], ["w", "e + 13", 35], ["u", "w + 16", 51], ["l", "u + 13", 64], ["v", "l + 19", 83], ["a", "v + 20", 103]], "target_var_name": "a", "target_value": 103, "value_dict": {"q": 5, "e": 22, "w": 35, "u": 51, "l": 64, "v": 83, "a": 103}, "is_reverse": false}} | 479 | 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 = w + 16; a = v + 20; q = 5; l = u + 13; v = l + 19; x = m + 7; c = x + 14; d = c + 11; s = q + 11; w = e + 13; e = q + 17; m = s + 18; b = d + 3. If q = 5, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = q + 17, which gives e = 22.\n2. Compute w using w = e + 13, which gives w = 35.\n3. Compute u using u = w + 16, which gives u = 51.\n4. Compute l using l = u + 13, which gives l = 64.\n5. Compute v using v = l + 19, which gives v = 83.\n6. Compute a using a = v + 20, which gives a = 103.\n\nThus, the final answer is a = \\boxed{103}.",
"index": 479,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 16; a = v + 20; q = 5; l = u + 13; v = l + 19; x = m + 7; c = x + 14; d = c + 11; s = q + 11; w = e + 13; e = q + 17; m = s + 18; b = d + 3. If q = 5, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 2", "r": "l + 10", "d": "r + 5", "o": "d + 14", "b": "o + 13", "k": "b + 8", "p": "c + 12", "a": "p + 13", "q": "a + 7", "h": "q + 19", "y": "h + 4", "f": "y + 10", "c": 4}, "premises": {"c": 4}, "target": "k"}, "answer": {"steps": [["l", "c + 2", 6], ["r", "l + 10", 16], ["d", "r + 5", 21], ["o", "d + 14", 35], ["b", "o + 13", 48], ["k", "b + 8", 56]], "target_var_name": "k", "target_value": 56, "value_dict": {"c": 4, "l": 6, "r": 16, "d": 21, "o": 35, "b": 48, "k": 56}, "is_reverse": false}} | 480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 13; l = c + 2; f = y + 10; y = h + 4; r = l + 10; q = a + 7; p = c + 12; c = 4; b = o + 13; h = q + 19; k = b + 8; o = d + 14; d = r + 5. Given that c = 4, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = c + 2, which gives l = 6.\n2. Compute r using r = l + 10, which gives r = 16.\n3. Compute d using d = r + 5, which gives d = 21.\n4. Compute o using o = d + 14, which gives o = 35.\n5. Compute b using b = o + 13, which gives b = 48.\n6. Compute k using k = b + 8, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 480,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 13; l = c + 2; f = y + 10; y = h + 4; r = l + 10; q = a + 7; p = c + 12; c = 4; b = o + 13; h = q + 19; k = b + 8; o = d + 14; d = r + 5. Given that c = 4, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 9", "v": "g + 20", "y": "v + 5", "p": "y + 13", "d": "p + 13", "x": "d + 15", "c": "m + 5", "l": "c + 20", "r": "l + 12", "w": "r + 18", "e": "w + 12", "f": "e + 8", "m": 7}, "premises": {"m": 7}, "target": "x"}, "answer": {"steps": [["g", "m + 9", 16], ["v", "g + 20", 36], ["y", "v + 5", 41], ["p", "y + 13", 54], ["d", "p + 13", 67], ["x", "d + 15", 82]], "target_var_name": "x", "target_value": 82, "value_dict": {"m": 7, "g": 16, "v": 36, "y": 41, "p": 54, "d": 67, "x": 82}, "is_reverse": false}} | 481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 8; m = 7; g = m + 9; p = y + 13; r = l + 12; y = v + 5; v = g + 20; c = m + 5; d = p + 13; l = c + 20; x = d + 15; e = w + 12; w = r + 18. If m = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = m + 9, which gives g = 16.\n2. Compute v using v = g + 20, which gives v = 36.\n3. Compute y using y = v + 5, which gives y = 41.\n4. Compute p using p = y + 13, which gives p = 54.\n5. Compute d using d = p + 13, which gives d = 67.\n6. Compute x using x = d + 15, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 481,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 8; m = 7; g = m + 9; p = y + 13; r = l + 12; y = v + 5; v = g + 20; c = m + 5; d = p + 13; l = c + 20; x = d + 15; e = w + 12; w = r + 18. If m = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 5", "g": "x + 18", "k": "g + 20", "v": "k + 7", "n": "v + 12", "d": "n + 6", "u": "a + 20", "f": "u + 20", "i": "f + 18", "q": "i + 2", "c": "q + 5", "t": "c + 13", "a": 13}, "premises": {"a": 13}, "target": "d"}, "answer": {"steps": [["x", "a + 5", 18], ["g", "x + 18", 36], ["k", "g + 20", 56], ["v", "k + 7", 63], ["n", "v + 12", 75], ["d", "n + 6", 81]], "target_var_name": "d", "target_value": 81, "value_dict": {"a": 13, "x": 18, "g": 36, "k": 56, "v": 63, "n": 75, "d": 81}, "is_reverse": false}} | 482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = c + 13; f = u + 20; i = f + 18; u = a + 20; d = n + 6; g = x + 18; x = a + 5; n = v + 12; v = k + 7; k = g + 20; q = i + 2; c = q + 5; a = 13. Given that a = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = a + 5, which gives x = 18.\n2. Compute g using g = x + 18, which gives g = 36.\n3. Compute k using k = g + 20, which gives k = 56.\n4. Compute v using v = k + 7, which gives v = 63.\n5. Compute n using n = v + 12, which gives n = 75.\n6. Compute d using d = n + 6, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 482,
"question": "Suppose a collection of variables is related by the following definitions: t = c + 13; f = u + 20; i = f + 18; u = a + 20; d = n + 6; g = x + 18; x = a + 5; n = v + 12; v = k + 7; k = g + 20; q = i + 2; c = q + 5; a = 13. Given that a = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 8", "v": "q + 9", "c": "v + 11", "i": "c + 4", "l": "i + 17", "k": "l + 13", "y": "f + 8", "w": "y + 6", "n": "w + 2", "a": "n + 14", "r": "a + 9", "j": "r + 7", "f": 15}, "premises": {"f": 15}, "target": "k"}, "answer": {"steps": [["q", "f + 8", 23], ["v", "q + 9", 32], ["c", "v + 11", 43], ["i", "c + 4", 47], ["l", "i + 17", 64], ["k", "l + 13", 77]], "target_var_name": "k", "target_value": 77, "value_dict": {"f": 15, "q": 23, "v": 32, "c": 43, "i": 47, "l": 64, "k": 77}, "is_reverse": false}} | 483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 7; l = i + 17; v = q + 9; a = n + 14; c = v + 11; i = c + 4; n = w + 2; f = 15; k = l + 13; q = f + 8; w = y + 6; r = a + 9; y = f + 8. If f = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = f + 8, which gives q = 23.\n2. Compute v using v = q + 9, which gives v = 32.\n3. Compute c using c = v + 11, which gives c = 43.\n4. Compute i using i = c + 4, which gives i = 47.\n5. Compute l using l = i + 17, which gives l = 64.\n6. Compute k using k = l + 13, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 7; l = i + 17; v = q + 9; a = n + 14; c = v + 11; i = c + 4; n = w + 2; f = 15; k = l + 13; q = f + 8; w = y + 6; r = a + 9; y = f + 8. If f = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 3", "r": "e + 12", "a": "r + 11", "g": "a + 9", "s": "g + 4", "x": "s + 14", "h": "y + 11", "d": "h + 20", "j": "d + 4", "u": "j + 16", "m": "u + 13", "q": "m + 18", "y": 9}, "premises": {"y": 9}, "target": "x"}, "answer": {"steps": [["e", "y + 3", 12], ["r", "e + 12", 24], ["a", "r + 11", 35], ["g", "a + 9", 44], ["s", "g + 4", 48], ["x", "s + 14", 62]], "target_var_name": "x", "target_value": 62, "value_dict": {"y": 9, "e": 12, "r": 24, "a": 35, "g": 44, "s": 48, "x": 62}, "is_reverse": false}} | 484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 13; g = a + 9; d = h + 20; a = r + 11; u = j + 16; h = y + 11; r = e + 12; y = 9; e = y + 3; s = g + 4; x = s + 14; q = m + 18; j = d + 4. If y = 9, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = y + 3, which gives e = 12.\n2. Compute r using r = e + 12, which gives r = 24.\n3. Compute a using a = r + 11, which gives a = 35.\n4. Compute g using g = a + 9, which gives g = 44.\n5. Compute s using s = g + 4, which gives s = 48.\n6. Compute x using x = s + 14, which gives x = 62.\n\nThus, the final answer is x = \\boxed{62}.",
"index": 484,
"question": "Consider a system of variables where each variable is defined as follows: m = u + 13; g = a + 9; d = h + 20; a = r + 11; u = j + 16; h = y + 11; r = e + 12; y = 9; e = y + 3; s = g + 4; x = s + 14; q = m + 18; j = d + 4. If y = 9, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 12", "b": "n + 13", "k": "b + 14", "j": "k + 8", "x": "j + 1", "z": "x + 2", "u": "g + 4", "d": "u + 16", "f": "d + 9", "c": "f + 3", "a": "c + 9", "r": "a + 10", "g": 18}, "premises": {"g": 18}, "target": "z"}, "answer": {"steps": [["n", "g + 12", 30], ["b", "n + 13", 43], ["k", "b + 14", 57], ["j", "k + 8", 65], ["x", "j + 1", 66], ["z", "x + 2", 68]], "target_var_name": "z", "target_value": 68, "value_dict": {"g": 18, "n": 30, "b": 43, "k": 57, "j": 65, "x": 66, "z": 68}, "is_reverse": false}} | 485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 8; u = g + 4; b = n + 13; r = a + 10; a = c + 9; g = 18; c = f + 3; z = x + 2; x = j + 1; d = u + 16; n = g + 12; k = b + 14; f = d + 9. Given that g = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = g + 12, which gives n = 30.\n2. Compute b using b = n + 13, which gives b = 43.\n3. Compute k using k = b + 14, which gives k = 57.\n4. Compute j using j = k + 8, which gives j = 65.\n5. Compute x using x = j + 1, which gives x = 66.\n6. Compute z using z = x + 2, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 485,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 8; u = g + 4; b = n + 13; r = a + 10; a = c + 9; g = 18; c = f + 3; z = x + 2; x = j + 1; d = u + 16; n = g + 12; k = b + 14; f = d + 9. Given that g = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 15", "c": "x + 11", "h": "c + 18", "y": "h + 1", "l": "y + 3", "t": "l + 2", "m": "u + 10", "e": "m + 5", "r": "e + 4", "g": "r + 14", "z": "g + 9", "a": "z + 9", "u": 1}, "premises": {"u": 1}, "target": "t"}, "answer": {"steps": [["x", "u + 15", 16], ["c", "x + 11", 27], ["h", "c + 18", 45], ["y", "h + 1", 46], ["l", "y + 3", 49], ["t", "l + 2", 51]], "target_var_name": "t", "target_value": 51, "value_dict": {"u": 1, "x": 16, "c": 27, "h": 45, "y": 46, "l": 49, "t": 51}, "is_reverse": false}} | 486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 14; u = 1; y = h + 1; t = l + 2; x = u + 15; a = z + 9; l = y + 3; h = c + 18; m = u + 10; e = m + 5; r = e + 4; z = g + 9; c = x + 11. If u = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = u + 15, which gives x = 16.\n2. Compute c using c = x + 11, which gives c = 27.\n3. Compute h using h = c + 18, which gives h = 45.\n4. Compute y using y = h + 1, which gives y = 46.\n5. Compute l using l = y + 3, which gives l = 49.\n6. Compute t using t = l + 2, which gives t = 51.\n\nThus, the final answer is t = \\boxed{51}.",
"index": 486,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 14; u = 1; y = h + 1; t = l + 2; x = u + 15; a = z + 9; l = y + 3; h = c + 18; m = u + 10; e = m + 5; r = e + 4; z = g + 9; c = x + 11. If u = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 4", "s": "o + 16", "v": "s + 4", "q": "v + 19", "j": "q + 18", "t": "j + 3", "d": "g + 11", "i": "d + 20", "a": "i + 14", "k": "a + 15", "f": "k + 13", "b": "f + 17", "g": 2}, "premises": {"g": 2}, "target": "t"}, "answer": {"steps": [["o", "g + 4", 6], ["s", "o + 16", 22], ["v", "s + 4", 26], ["q", "v + 19", 45], ["j", "q + 18", 63], ["t", "j + 3", 66]], "target_var_name": "t", "target_value": 66, "value_dict": {"g": 2, "o": 6, "s": 22, "v": 26, "q": 45, "j": 63, "t": 66}, "is_reverse": false}} | 487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 4; o = g + 4; q = v + 19; k = a + 15; b = f + 17; t = j + 3; s = o + 16; g = 2; i = d + 20; a = i + 14; j = q + 18; d = g + 11; f = k + 13. If g = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = g + 4, which gives o = 6.\n2. Compute s using s = o + 16, which gives s = 22.\n3. Compute v using v = s + 4, which gives v = 26.\n4. Compute q using q = v + 19, which gives q = 45.\n5. Compute j using j = q + 18, which gives j = 63.\n6. Compute t using t = j + 3, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 487,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 4; o = g + 4; q = v + 19; k = a + 15; b = f + 17; t = j + 3; s = o + 16; g = 2; i = d + 20; a = i + 14; j = q + 18; d = g + 11; f = k + 13. If g = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 15", "i": "r + 15", "f": "i + 3", "o": "f + 4", "p": "o + 2", "s": "p + 16", "d": "y + 20", "a": "d + 10", "t": "a + 16", "m": "t + 12", "g": "m + 3", "v": "g + 17", "y": 16}, "premises": {"y": 16}, "target": "s"}, "answer": {"steps": [["r", "y + 15", 31], ["i", "r + 15", 46], ["f", "i + 3", 49], ["o", "f + 4", 53], ["p", "o + 2", 55], ["s", "p + 16", 71]], "target_var_name": "s", "target_value": 71, "value_dict": {"y": 16, "r": 31, "i": 46, "f": 49, "o": 53, "p": 55, "s": 71}, "is_reverse": false}} | 488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 15; g = m + 3; f = i + 3; s = p + 16; t = a + 16; d = y + 20; i = r + 15; a = d + 10; m = t + 12; o = f + 4; p = o + 2; v = g + 17; y = 16. Given that y = 16, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = y + 15, which gives r = 31.\n2. Compute i using i = r + 15, which gives i = 46.\n3. Compute f using f = i + 3, which gives f = 49.\n4. Compute o using o = f + 4, which gives o = 53.\n5. Compute p using p = o + 2, which gives p = 55.\n6. Compute s using s = p + 16, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 488,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 15; g = m + 3; f = i + 3; s = p + 16; t = a + 16; d = y + 20; i = r + 15; a = d + 10; m = t + 12; o = f + 4; p = o + 2; v = g + 17; y = 16. Given that y = 16, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 11", "w": "p + 8", "v": "w + 19", "y": "v + 1", "u": "y + 13", "i": "u + 8", "k": "r + 3", "z": "k + 11", "l": "z + 15", "g": "l + 14", "j": "g + 16", "t": "j + 14", "r": 7}, "premises": {"r": 7}, "target": "i"}, "answer": {"steps": [["p", "r + 11", 18], ["w", "p + 8", 26], ["v", "w + 19", 45], ["y", "v + 1", 46], ["u", "y + 13", 59], ["i", "u + 8", 67]], "target_var_name": "i", "target_value": 67, "value_dict": {"r": 7, "p": 18, "w": 26, "v": 45, "y": 46, "u": 59, "i": 67}, "is_reverse": false}} | 489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 3; p = r + 11; g = l + 14; t = j + 14; l = z + 15; w = p + 8; r = 7; j = g + 16; u = y + 13; v = w + 19; y = v + 1; i = u + 8; z = k + 11. If r = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 11, which gives p = 18.\n2. Compute w using w = p + 8, which gives w = 26.\n3. Compute v using v = w + 19, which gives v = 45.\n4. Compute y using y = v + 1, which gives y = 46.\n5. Compute u using u = y + 13, which gives u = 59.\n6. Compute i using i = u + 8, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 489,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 3; p = r + 11; g = l + 14; t = j + 14; l = z + 15; w = p + 8; r = 7; j = g + 16; u = y + 13; v = w + 19; y = v + 1; i = u + 8; z = k + 11. If r = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 18", "a": "c + 19", "v": "a + 6", "e": "v + 12", "r": "e + 12", "z": "r + 13", "d": "j + 10", "h": "d + 16", "o": "h + 3", "b": "o + 20", "l": "b + 11", "f": "l + 8", "j": 16}, "premises": {"j": 16}, "target": "z"}, "answer": {"steps": [["c", "j + 18", 34], ["a", "c + 19", 53], ["v", "a + 6", 59], ["e", "v + 12", 71], ["r", "e + 12", 83], ["z", "r + 13", 96]], "target_var_name": "z", "target_value": 96, "value_dict": {"j": 16, "c": 34, "a": 53, "v": 59, "e": 71, "r": 83, "z": 96}, "is_reverse": false}} | 490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 8; d = j + 10; r = e + 12; h = d + 16; e = v + 12; c = j + 18; a = c + 19; b = o + 20; v = a + 6; z = r + 13; o = h + 3; j = 16; l = b + 11. Given that j = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = j + 18, which gives c = 34.\n2. Compute a using a = c + 19, which gives a = 53.\n3. Compute v using v = a + 6, which gives v = 59.\n4. Compute e using e = v + 12, which gives e = 71.\n5. Compute r using r = e + 12, which gives r = 83.\n6. Compute z using z = r + 13, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 490,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 8; d = j + 10; r = e + 12; h = d + 16; e = v + 12; c = j + 18; a = c + 19; b = o + 20; v = a + 6; z = r + 13; o = h + 3; j = 16; l = b + 11. Given that j = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 13", "c": "k + 18", "s": "c + 14", "x": "s + 11", "w": "x + 3", "u": "w + 8", "j": "o + 2", "g": "j + 14", "l": "g + 14", "f": "l + 3", "z": "f + 18", "i": "z + 12", "o": 2}, "premises": {"o": 2}, "target": "u"}, "answer": {"steps": [["k", "o + 13", 15], ["c", "k + 18", 33], ["s", "c + 14", 47], ["x", "s + 11", 58], ["w", "x + 3", 61], ["u", "w + 8", 69]], "target_var_name": "u", "target_value": 69, "value_dict": {"o": 2, "k": 15, "c": 33, "s": 47, "x": 58, "w": 61, "u": 69}, "is_reverse": false}} | 491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 2; i = z + 12; c = k + 18; j = o + 2; s = c + 14; g = j + 14; w = x + 3; z = f + 18; l = g + 14; f = l + 3; u = w + 8; x = s + 11; k = o + 13. If o = 2, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = o + 13, which gives k = 15.\n2. Compute c using c = k + 18, which gives c = 33.\n3. Compute s using s = c + 14, which gives s = 47.\n4. Compute x using x = s + 11, which gives x = 58.\n5. Compute w using w = x + 3, which gives w = 61.\n6. Compute u using u = w + 8, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 2; i = z + 12; c = k + 18; j = o + 2; s = c + 14; g = j + 14; w = x + 3; z = f + 18; l = g + 14; f = l + 3; u = w + 8; x = s + 11; k = o + 13. If o = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 14", "e": "i + 17", "r": "e + 8", "k": "r + 9", "f": "k + 18", "h": "f + 18", "d": "q + 6", "z": "d + 19", "j": "z + 15", "o": "j + 16", "v": "o + 10", "x": "v + 1", "q": 4}, "premises": {"q": 4}, "target": "h"}, "answer": {"steps": [["i", "q + 14", 18], ["e", "i + 17", 35], ["r", "e + 8", 43], ["k", "r + 9", 52], ["f", "k + 18", 70], ["h", "f + 18", 88]], "target_var_name": "h", "target_value": 88, "value_dict": {"q": 4, "i": 18, "e": 35, "r": 43, "k": 52, "f": 70, "h": 88}, "is_reverse": false}} | 492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 18; z = d + 19; e = i + 17; x = v + 1; q = 4; r = e + 8; h = f + 18; v = o + 10; k = r + 9; i = q + 14; d = q + 6; j = z + 15; o = j + 16. If q = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = q + 14, which gives i = 18.\n2. Compute e using e = i + 17, which gives e = 35.\n3. Compute r using r = e + 8, which gives r = 43.\n4. Compute k using k = r + 9, which gives k = 52.\n5. Compute f using f = k + 18, which gives f = 70.\n6. Compute h using h = f + 18, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 18; z = d + 19; e = i + 17; x = v + 1; q = 4; r = e + 8; h = f + 18; v = o + 10; k = r + 9; i = q + 14; d = q + 6; j = z + 15; o = j + 16. If q = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 19", "d": "m + 3", "a": "d + 11", "f": "a + 9", "z": "f + 19", "l": "z + 9", "o": "t + 16", "k": "o + 20", "n": "k + 12", "i": "n + 9", "b": "i + 11", "w": "b + 4", "t": 9}, "premises": {"t": 9}, "target": "l"}, "answer": {"steps": [["m", "t + 19", 28], ["d", "m + 3", 31], ["a", "d + 11", 42], ["f", "a + 9", 51], ["z", "f + 19", 70], ["l", "z + 9", 79]], "target_var_name": "l", "target_value": 79, "value_dict": {"t": 9, "m": 28, "d": 31, "a": 42, "f": 51, "z": 70, "l": 79}, "is_reverse": false}} | 493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = t + 19; d = m + 3; l = z + 9; t = 9; k = o + 20; a = d + 11; w = b + 4; b = i + 11; n = k + 12; i = n + 9; z = f + 19; o = t + 16; f = a + 9. Given that t = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = t + 19, which gives m = 28.\n2. Compute d using d = m + 3, which gives d = 31.\n3. Compute a using a = d + 11, which gives a = 42.\n4. Compute f using f = a + 9, which gives f = 51.\n5. Compute z using z = f + 19, which gives z = 70.\n6. Compute l using l = z + 9, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 493,
"question": "Suppose a collection of variables is related by the following definitions: m = t + 19; d = m + 3; l = z + 9; t = 9; k = o + 20; a = d + 11; w = b + 4; b = i + 11; n = k + 12; i = n + 9; z = f + 19; o = t + 16; f = a + 9. Given that t = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 4", "j": "t + 12", "f": "j + 3", "l": "f + 14", "s": "l + 19", "z": "s + 19", "c": "v + 5", "e": "c + 13", "n": "e + 12", "h": "n + 2", "k": "h + 9", "y": "k + 17", "v": 17}, "premises": {"v": 17}, "target": "z"}, "answer": {"steps": [["t", "v + 4", 21], ["j", "t + 12", 33], ["f", "j + 3", 36], ["l", "f + 14", 50], ["s", "l + 19", 69], ["z", "s + 19", 88]], "target_var_name": "z", "target_value": 88, "value_dict": {"v": 17, "t": 21, "j": 33, "f": 36, "l": 50, "s": 69, "z": 88}, "is_reverse": false}} | 494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 5; j = t + 12; t = v + 4; e = c + 13; l = f + 14; k = h + 9; h = n + 2; n = e + 12; y = k + 17; v = 17; s = l + 19; z = s + 19; f = j + 3. If v = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = v + 4, which gives t = 21.\n2. Compute j using j = t + 12, which gives j = 33.\n3. Compute f using f = j + 3, which gives f = 36.\n4. Compute l using l = f + 14, which gives l = 50.\n5. Compute s using s = l + 19, which gives s = 69.\n6. Compute z using z = s + 19, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 494,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 5; j = t + 12; t = v + 4; e = c + 13; l = f + 14; k = h + 9; h = n + 2; n = e + 12; y = k + 17; v = 17; s = l + 19; z = s + 19; f = j + 3. If v = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 16", "m": "i + 9", "v": "m + 6", "a": "v + 10", "o": "a + 14", "s": "o + 5", "h": "y + 9", "r": "h + 9", "l": "r + 2", "e": "l + 8", "b": "e + 14", "j": "b + 5", "y": 19}, "premises": {"y": 19}, "target": "s"}, "answer": {"steps": [["i", "y + 16", 35], ["m", "i + 9", 44], ["v", "m + 6", 50], ["a", "v + 10", 60], ["o", "a + 14", 74], ["s", "o + 5", 79]], "target_var_name": "s", "target_value": 79, "value_dict": {"y": 19, "i": 35, "m": 44, "v": 50, "a": 60, "o": 74, "s": 79}, "is_reverse": false}} | 495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 14; e = l + 8; i = y + 16; h = y + 9; s = o + 5; y = 19; b = e + 14; m = i + 9; j = b + 5; r = h + 9; v = m + 6; l = r + 2; a = v + 10. Given that y = 19, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = y + 16, which gives i = 35.\n2. Compute m using m = i + 9, which gives m = 44.\n3. Compute v using v = m + 6, which gives v = 50.\n4. Compute a using a = v + 10, which gives a = 60.\n5. Compute o using o = a + 14, which gives o = 74.\n6. Compute s using s = o + 5, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 495,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 14; e = l + 8; i = y + 16; h = y + 9; s = o + 5; y = 19; b = e + 14; m = i + 9; j = b + 5; r = h + 9; v = m + 6; l = r + 2; a = v + 10. Given that y = 19, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 10", "n": "f + 2", "u": "n + 11", "x": "u + 17", "v": "x + 2", "y": "v + 1", "i": "w + 12", "z": "i + 18", "r": "z + 13", "c": "r + 14", "b": "c + 5", "o": "b + 19", "w": 18}, "premises": {"w": 18}, "target": "y"}, "answer": {"steps": [["f", "w + 10", 28], ["n", "f + 2", 30], ["u", "n + 11", 41], ["x", "u + 17", 58], ["v", "x + 2", 60], ["y", "v + 1", 61]], "target_var_name": "y", "target_value": 61, "value_dict": {"w": 18, "f": 28, "n": 30, "u": 41, "x": 58, "v": 60, "y": 61}, "is_reverse": false}} | 496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 2; b = c + 5; w = 18; o = b + 19; z = i + 18; f = w + 10; i = w + 12; y = v + 1; r = z + 13; n = f + 2; x = u + 17; c = r + 14; u = n + 11. If w = 18, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = w + 10, which gives f = 28.\n2. Compute n using n = f + 2, which gives n = 30.\n3. Compute u using u = n + 11, which gives u = 41.\n4. Compute x using x = u + 17, which gives x = 58.\n5. Compute v using v = x + 2, which gives v = 60.\n6. Compute y using y = v + 1, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 496,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 2; b = c + 5; w = 18; o = b + 19; z = i + 18; f = w + 10; i = w + 12; y = v + 1; r = z + 13; n = f + 2; x = u + 17; c = r + 14; u = n + 11. If w = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 10", "n": "z + 19", "a": "n + 8", "f": "a + 10", "q": "f + 14", "b": "q + 7", "y": "g + 2", "r": "y + 20", "v": "r + 6", "w": "v + 9", "m": "w + 16", "e": "m + 2", "g": 9}, "premises": {"g": 9}, "target": "b"}, "answer": {"steps": [["z", "g + 10", 19], ["n", "z + 19", 38], ["a", "n + 8", 46], ["f", "a + 10", 56], ["q", "f + 14", 70], ["b", "q + 7", 77]], "target_var_name": "b", "target_value": 77, "value_dict": {"g": 9, "z": 19, "n": 38, "a": 46, "f": 56, "q": 70, "b": 77}, "is_reverse": false}} | 497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = g + 10; v = r + 6; g = 9; q = f + 14; m = w + 16; b = q + 7; y = g + 2; n = z + 19; r = y + 20; a = n + 8; w = v + 9; e = m + 2; f = a + 10. If g = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = g + 10, which gives z = 19.\n2. Compute n using n = z + 19, which gives n = 38.\n3. Compute a using a = n + 8, which gives a = 46.\n4. Compute f using f = a + 10, which gives f = 56.\n5. Compute q using q = f + 14, which gives q = 70.\n6. Compute b using b = q + 7, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 497,
"question": "Consider a system of variables where each variable is defined as follows: z = g + 10; v = r + 6; g = 9; q = f + 14; m = w + 16; b = q + 7; y = g + 2; n = z + 19; r = y + 20; a = n + 8; w = v + 9; e = m + 2; f = a + 10. If g = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 18", "y": "s + 11", "k": "y + 7", "v": "k + 10", "b": "v + 4", "t": "b + 20", "j": "n + 5", "z": "j + 8", "f": "z + 13", "a": "f + 12", "q": "a + 10", "u": "q + 7", "n": 14}, "premises": {"n": 14}, "target": "t"}, "answer": {"steps": [["s", "n + 18", 32], ["y", "s + 11", 43], ["k", "y + 7", 50], ["v", "k + 10", 60], ["b", "v + 4", 64], ["t", "b + 20", 84]], "target_var_name": "t", "target_value": 84, "value_dict": {"n": 14, "s": 32, "y": 43, "k": 50, "v": 60, "b": 64, "t": 84}, "is_reverse": false}} | 498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 10; y = s + 11; v = k + 10; z = j + 8; u = q + 7; k = y + 7; f = z + 13; b = v + 4; t = b + 20; a = f + 12; n = 14; j = n + 5; s = n + 18. If n = 14, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = n + 18, which gives s = 32.\n2. Compute y using y = s + 11, which gives y = 43.\n3. Compute k using k = y + 7, which gives k = 50.\n4. Compute v using v = k + 10, which gives v = 60.\n5. Compute b using b = v + 4, which gives b = 64.\n6. Compute t using t = b + 20, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 498,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 10; y = s + 11; v = k + 10; z = j + 8; u = q + 7; k = y + 7; f = z + 13; b = v + 4; t = b + 20; a = f + 12; n = 14; j = n + 5; s = n + 18. If n = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 16", "a": "y + 13", "f": "a + 6", "h": "f + 5", "k": "h + 1", "e": "k + 7", "x": "t + 10", "j": "x + 18", "i": "j + 2", "c": "i + 2", "s": "c + 12", "u": "s + 6", "t": 12}, "premises": {"t": 12}, "target": "e"}, "answer": {"steps": [["y", "t + 16", 28], ["a", "y + 13", 41], ["f", "a + 6", 47], ["h", "f + 5", 52], ["k", "h + 1", 53], ["e", "k + 7", 60]], "target_var_name": "e", "target_value": 60, "value_dict": {"t": 12, "y": 28, "a": 41, "f": 47, "h": 52, "k": 53, "e": 60}, "is_reverse": false}} | 499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 7; c = i + 2; y = t + 16; a = y + 13; x = t + 10; h = f + 5; k = h + 1; s = c + 12; u = s + 6; i = j + 2; f = a + 6; t = 12; j = x + 18. If t = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = t + 16, which gives y = 28.\n2. Compute a using a = y + 13, which gives a = 41.\n3. Compute f using f = a + 6, which gives f = 47.\n4. Compute h using h = f + 5, which gives h = 52.\n5. Compute k using k = h + 1, which gives k = 53.\n6. Compute e using e = k + 7, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 499,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 7; c = i + 2; y = t + 16; a = y + 13; x = t + 10; h = f + 5; k = h + 1; s = c + 12; u = s + 6; i = j + 2; f = a + 6; t = 12; j = x + 18. If t = 12, determine the value of e.",
"split": "train"
} |
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