meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"z": "d + 15", "j": "z + 6", "v": "j + 18", "c": "v + 3", "y": "c + 11", "f": "y + 12", "u": "d + 19", "q": "u + 17", "s": "q + 8", "h": "s + 16", "o": "h + 3", "a": "o + 17", "d": 3}, "premises": {"d": 3}, "target": "f"}, "answer": {"steps": [["y", "c + 11", "c + 23"], ["c", "v + 3", "v + 26"], ["v", "j + 18", "j + 44"], ["j", "z + 6", "z + 50"], ["z", "d + 15", "d + 65"], ["d", 3, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"d": 3}, "is_reverse": true}} | 11,600 | 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 = j + 18; y = c + 11; c = v + 3; h = s + 16; j = z + 6; o = h + 3; u = d + 19; d = 3; q = u + 17; s = q + 8; z = d + 15; a = o + 17; f = y + 12. If d = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 11 to f, which gives f = c + 23.\n2. Substitute c = v + 3 to f, which gives f = v + 26.\n3. Substitute v = j + 18 to f, which gives f = j + 44.\n4. Substitute j = z + 6 to f, which gives f = z + 50.\n5. Substitute z = d + 15 to f, which gives f = d + 65.\n6. Substitute d = 3 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 11600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 18; y = c + 11; c = v + 3; h = s + 16; j = z + 6; o = h + 3; u = d + 19; d = 3; q = u + 17; s = q + 8; z = d + 15; a = o + 17; f = y + 12. If d = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 4", "y": "i + 18", "b": "y + 13", "e": "b + 8", "l": "e + 15", "h": "l + 5", "x": "s + 15", "r": "x + 6", "d": "r + 3", "a": "d + 4", "t": "a + 20", "w": "t + 6", "s": 12}, "premises": {"s": 12}, "target": "h"}, "answer": {"steps": [["l", "e + 15", "e + 20"], ["e", "b + 8", "b + 28"], ["b", "y + 13", "y + 41"], ["y", "i + 18", "i + 59"], ["i", "s + 4", "s + 63"], ["s", 12, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"s": 12}, "is_reverse": true}} | 11,601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 5; i = s + 4; b = y + 13; t = a + 20; s = 12; d = r + 3; x = s + 15; l = e + 15; w = t + 6; e = b + 8; r = x + 6; y = i + 18; a = d + 4. Given that s = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 15 to h, which gives h = e + 20.\n2. Substitute e = b + 8 to h, which gives h = b + 28.\n3. Substitute b = y + 13 to h, which gives h = y + 41.\n4. Substitute y = i + 18 to h, which gives h = i + 59.\n5. Substitute i = s + 4 to h, which gives h = s + 63.\n6. Substitute s = 12 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 11601,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 5; i = s + 4; b = y + 13; t = a + 20; s = 12; d = r + 3; x = s + 15; l = e + 15; w = t + 6; e = b + 8; r = x + 6; y = i + 18; a = d + 4. Given that s = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 14", "j": "d + 10", "p": "j + 10", "f": "p + 11", "t": "f + 8", "z": "t + 8", "k": "n + 6", "q": "k + 12", "a": "q + 19", "u": "a + 9", "w": "u + 16", "x": "w + 12", "n": 5}, "premises": {"n": 5}, "target": "z"}, "answer": {"steps": [["t", "f + 8", "f + 16"], ["f", "p + 11", "p + 27"], ["p", "j + 10", "j + 37"], ["j", "d + 10", "d + 47"], ["d", "n + 14", "n + 61"], ["n", 5, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"n": 5}, "is_reverse": true}} | 11,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 16; a = q + 19; j = d + 10; z = t + 8; p = j + 10; x = w + 12; u = a + 9; d = n + 14; f = p + 11; n = 5; q = k + 12; t = f + 8; k = n + 6. If n = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 8 to z, which gives z = f + 16.\n2. Substitute f = p + 11 to z, which gives z = p + 27.\n3. Substitute p = j + 10 to z, which gives z = j + 37.\n4. Substitute j = d + 10 to z, which gives z = d + 47.\n5. Substitute d = n + 14 to z, which gives z = n + 61.\n6. Substitute n = 5 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 11602,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 16; a = q + 19; j = d + 10; z = t + 8; p = j + 10; x = w + 12; u = a + 9; d = n + 14; f = p + 11; n = 5; q = k + 12; t = f + 8; k = n + 6. If n = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 13", "f": "b + 13", "e": "f + 4", "z": "e + 4", "g": "z + 8", "k": "g + 8", "r": "a + 13", "y": "r + 6", "h": "y + 11", "s": "h + 10", "d": "s + 19", "n": "d + 9", "a": 7}, "premises": {"a": 7}, "target": "k"}, "answer": {"steps": [["g", "z + 8", "z + 16"], ["z", "e + 4", "e + 20"], ["e", "f + 4", "f + 24"], ["f", "b + 13", "b + 37"], ["b", "a + 13", "a + 50"], ["a", 7, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"a": 7}, "is_reverse": true}} | 11,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 6; d = s + 19; g = z + 8; s = h + 10; b = a + 13; e = f + 4; z = e + 4; h = y + 11; r = a + 13; a = 7; k = g + 8; f = b + 13; n = d + 9. If a = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 8 to k, which gives k = z + 16.\n2. Substitute z = e + 4 to k, which gives k = e + 20.\n3. Substitute e = f + 4 to k, which gives k = f + 24.\n4. Substitute f = b + 13 to k, which gives k = b + 37.\n5. Substitute b = a + 13 to k, which gives k = a + 50.\n6. Substitute a = 7 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 11603,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 6; d = s + 19; g = z + 8; s = h + 10; b = a + 13; e = f + 4; z = e + 4; h = y + 11; r = a + 13; a = 7; k = g + 8; f = b + 13; n = d + 9. If a = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 7", "q": "v + 1", "s": "q + 2", "a": "s + 17", "n": "a + 17", "j": "n + 2", "m": "d + 19", "c": "m + 17", "l": "c + 4", "k": "l + 14", "i": "k + 4", "o": "i + 1", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["n", "a + 17", "a + 19"], ["a", "s + 17", "s + 36"], ["s", "q + 2", "q + 38"], ["q", "v + 1", "v + 39"], ["v", "d + 7", "d + 46"], ["d", 4, "50"]], "target_var_name": "j", "target_value": 50, "value_dict": {"d": 4}, "is_reverse": true}} | 11,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 19; o = i + 1; s = q + 2; q = v + 1; l = c + 4; v = d + 7; j = n + 2; c = m + 17; a = s + 17; d = 4; k = l + 14; n = a + 17; i = k + 4. Given that d = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 17 to j, which gives j = a + 19.\n2. Substitute a = s + 17 to j, which gives j = s + 36.\n3. Substitute s = q + 2 to j, which gives j = q + 38.\n4. Substitute q = v + 1 to j, which gives j = v + 39.\n5. Substitute v = d + 7 to j, which gives j = d + 46.\n6. Substitute d = 4 to j, which gives j = 50.\n\nThus, the final answer is j = \\boxed{50}.",
"index": 11604,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 19; o = i + 1; s = q + 2; q = v + 1; l = c + 4; v = d + 7; j = n + 2; c = m + 17; a = s + 17; d = 4; k = l + 14; n = a + 17; i = k + 4. Given that d = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 3", "a": "f + 8", "v": "a + 11", "j": "v + 5", "s": "j + 6", "u": "s + 19", "g": "n + 5", "m": "g + 20", "x": "m + 3", "p": "x + 3", "o": "p + 9", "w": "o + 4", "n": 1}, "premises": {"n": 1}, "target": "u"}, "answer": {"steps": [["s", "j + 6", "j + 25"], ["j", "v + 5", "v + 30"], ["v", "a + 11", "a + 41"], ["a", "f + 8", "f + 49"], ["f", "n + 3", "n + 52"], ["n", 1, "53"]], "target_var_name": "u", "target_value": 53, "value_dict": {"n": 1}, "is_reverse": true}} | 11,605 | 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 = p + 9; j = v + 5; w = o + 4; s = j + 6; u = s + 19; v = a + 11; m = g + 20; p = x + 3; f = n + 3; x = m + 3; n = 1; a = f + 8; g = n + 5. If n = 1, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 6 to u, which gives u = j + 25.\n2. Substitute j = v + 5 to u, which gives u = v + 30.\n3. Substitute v = a + 11 to u, which gives u = a + 41.\n4. Substitute a = f + 8 to u, which gives u = f + 49.\n5. Substitute f = n + 3 to u, which gives u = n + 52.\n6. Substitute n = 1 to u, which gives u = 53.\n\nThus, the final answer is u = \\boxed{53}.",
"index": 11605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 9; j = v + 5; w = o + 4; s = j + 6; u = s + 19; v = a + 11; m = g + 20; p = x + 3; f = n + 3; x = m + 3; n = 1; a = f + 8; g = n + 5. If n = 1, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 8", "o": "l + 7", "h": "o + 7", "n": "h + 11", "f": "n + 3", "b": "f + 10", "t": "x + 14", "q": "t + 18", "w": "q + 14", "k": "w + 7", "j": "k + 15", "i": "j + 17", "x": 3}, "premises": {"x": 3}, "target": "b"}, "answer": {"steps": [["f", "n + 3", "n + 13"], ["n", "h + 11", "h + 24"], ["h", "o + 7", "o + 31"], ["o", "l + 7", "l + 38"], ["l", "x + 8", "x + 46"], ["x", 3, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"x": 3}, "is_reverse": true}} | 11,606 | 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 = t + 18; n = h + 11; l = x + 8; k = w + 7; o = l + 7; f = n + 3; j = k + 15; w = q + 14; i = j + 17; b = f + 10; h = o + 7; t = x + 14; x = 3. If x = 3, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 3 to b, which gives b = n + 13.\n2. Substitute n = h + 11 to b, which gives b = h + 24.\n3. Substitute h = o + 7 to b, which gives b = o + 31.\n4. Substitute o = l + 7 to b, which gives b = l + 38.\n5. Substitute l = x + 8 to b, which gives b = x + 46.\n6. Substitute x = 3 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 11606,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 18; n = h + 11; l = x + 8; k = w + 7; o = l + 7; f = n + 3; j = k + 15; w = q + 14; i = j + 17; b = f + 10; h = o + 7; t = x + 14; x = 3. If x = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 19", "p": "l + 3", "m": "p + 13", "k": "m + 6", "n": "k + 4", "s": "n + 5", "h": "o + 17", "x": "h + 6", "q": "x + 20", "y": "q + 16", "a": "y + 5", "r": "a + 15", "o": 6}, "premises": {"o": 6}, "target": "s"}, "answer": {"steps": [["n", "k + 4", "k + 9"], ["k", "m + 6", "m + 15"], ["m", "p + 13", "p + 28"], ["p", "l + 3", "l + 31"], ["l", "o + 19", "o + 50"], ["o", 6, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"o": 6}, "is_reverse": true}} | 11,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 15; q = x + 20; y = q + 16; x = h + 6; m = p + 13; o = 6; p = l + 3; k = m + 6; a = y + 5; l = o + 19; s = n + 5; h = o + 17; n = k + 4. Given that o = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 4 to s, which gives s = k + 9.\n2. Substitute k = m + 6 to s, which gives s = m + 15.\n3. Substitute m = p + 13 to s, which gives s = p + 28.\n4. Substitute p = l + 3 to s, which gives s = l + 31.\n5. Substitute l = o + 19 to s, which gives s = o + 50.\n6. Substitute o = 6 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 11607,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 15; q = x + 20; y = q + 16; x = h + 6; m = p + 13; o = 6; p = l + 3; k = m + 6; a = y + 5; l = o + 19; s = n + 5; h = o + 17; n = k + 4. Given that o = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 18", "o": "y + 9", "t": "o + 15", "x": "t + 5", "a": "x + 3", "r": "a + 15", "p": "m + 6", "h": "p + 20", "b": "h + 20", "f": "b + 4", "v": "f + 19", "w": "v + 19", "m": 8}, "premises": {"m": 8}, "target": "r"}, "answer": {"steps": [["a", "x + 3", "x + 18"], ["x", "t + 5", "t + 23"], ["t", "o + 15", "o + 38"], ["o", "y + 9", "y + 47"], ["y", "m + 18", "m + 65"], ["m", 8, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"m": 8}, "is_reverse": true}} | 11,608 | 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 = x + 3; f = b + 4; w = v + 19; o = y + 9; t = o + 15; v = f + 19; h = p + 20; r = a + 15; b = h + 20; m = 8; p = m + 6; y = m + 18; x = t + 5. If m = 8, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 3 to r, which gives r = x + 18.\n2. Substitute x = t + 5 to r, which gives r = t + 23.\n3. Substitute t = o + 15 to r, which gives r = o + 38.\n4. Substitute o = y + 9 to r, which gives r = y + 47.\n5. Substitute y = m + 18 to r, which gives r = m + 65.\n6. Substitute m = 8 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 11608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 3; f = b + 4; w = v + 19; o = y + 9; t = o + 15; v = f + 19; h = p + 20; r = a + 15; b = h + 20; m = 8; p = m + 6; y = m + 18; x = t + 5. If m = 8, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 16", "t": "c + 14", "d": "t + 5", "u": "d + 13", "o": "u + 11", "g": "o + 3", "y": "h + 4", "r": "y + 5", "b": "r + 3", "n": "b + 13", "x": "n + 4", "s": "x + 17", "h": 2}, "premises": {"h": 2}, "target": "g"}, "answer": {"steps": [["o", "u + 11", "u + 14"], ["u", "d + 13", "d + 27"], ["d", "t + 5", "t + 32"], ["t", "c + 14", "c + 46"], ["c", "h + 16", "h + 62"], ["h", 2, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"h": 2}, "is_reverse": true}} | 11,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 4; d = t + 5; c = h + 16; t = c + 14; r = y + 5; b = r + 3; x = n + 4; s = x + 17; n = b + 13; h = 2; g = o + 3; o = u + 11; u = d + 13. If h = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 11 to g, which gives g = u + 14.\n2. Substitute u = d + 13 to g, which gives g = d + 27.\n3. Substitute d = t + 5 to g, which gives g = t + 32.\n4. Substitute t = c + 14 to g, which gives g = c + 46.\n5. Substitute c = h + 16 to g, which gives g = h + 62.\n6. Substitute h = 2 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 11609,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 4; d = t + 5; c = h + 16; t = c + 14; r = y + 5; b = r + 3; x = n + 4; s = x + 17; n = b + 13; h = 2; g = o + 3; o = u + 11; u = d + 13. If h = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 10", "q": "v + 19", "p": "q + 20", "s": "p + 14", "l": "s + 15", "j": "l + 5", "c": "f + 11", "r": "c + 2", "k": "r + 14", "h": "k + 8", "n": "h + 10", "y": "n + 8", "f": 8}, "premises": {"f": 8}, "target": "j"}, "answer": {"steps": [["l", "s + 15", "s + 20"], ["s", "p + 14", "p + 34"], ["p", "q + 20", "q + 54"], ["q", "v + 19", "v + 73"], ["v", "f + 10", "f + 83"], ["f", 8, "91"]], "target_var_name": "j", "target_value": 91, "value_dict": {"f": 8}, "is_reverse": true}} | 11,610 | 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 + 14; c = f + 11; l = s + 15; f = 8; v = f + 10; j = l + 5; s = p + 14; q = v + 19; p = q + 20; r = c + 2; y = n + 8; h = k + 8; n = h + 10. If f = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 15 to j, which gives j = s + 20.\n2. Substitute s = p + 14 to j, which gives j = p + 34.\n3. Substitute p = q + 20 to j, which gives j = q + 54.\n4. Substitute q = v + 19 to j, which gives j = v + 73.\n5. Substitute v = f + 10 to j, which gives j = f + 83.\n6. Substitute f = 8 to j, which gives j = 91.\n\nThus, the final answer is j = \\boxed{91}.",
"index": 11610,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 14; c = f + 11; l = s + 15; f = 8; v = f + 10; j = l + 5; s = p + 14; q = v + 19; p = q + 20; r = c + 2; y = n + 8; h = k + 8; n = h + 10. If f = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 2", "d": "x + 7", "a": "d + 12", "v": "a + 16", "q": "v + 13", "u": "q + 3", "b": "t + 6", "p": "b + 20", "c": "p + 10", "w": "c + 20", "m": "w + 7", "h": "m + 16", "t": 9}, "premises": {"t": 9}, "target": "u"}, "answer": {"steps": [["q", "v + 13", "v + 16"], ["v", "a + 16", "a + 32"], ["a", "d + 12", "d + 44"], ["d", "x + 7", "x + 51"], ["x", "t + 2", "t + 53"], ["t", 9, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"t": 9}, "is_reverse": true}} | 11,611 | 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 = q + 3; w = c + 20; h = m + 16; b = t + 6; a = d + 12; v = a + 16; c = p + 10; d = x + 7; p = b + 20; t = 9; m = w + 7; x = t + 2; q = v + 13. If t = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 13 to u, which gives u = v + 16.\n2. Substitute v = a + 16 to u, which gives u = a + 32.\n3. Substitute a = d + 12 to u, which gives u = d + 44.\n4. Substitute d = x + 7 to u, which gives u = x + 51.\n5. Substitute x = t + 2 to u, which gives u = t + 53.\n6. Substitute t = 9 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 11611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 3; w = c + 20; h = m + 16; b = t + 6; a = d + 12; v = a + 16; c = p + 10; d = x + 7; p = b + 20; t = 9; m = w + 7; x = t + 2; q = v + 13. If t = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 18", "s": "h + 20", "c": "s + 11", "a": "c + 10", "j": "a + 20", "i": "j + 15", "z": "l + 5", "t": "z + 3", "x": "t + 11", "d": "x + 9", "v": "d + 11", "w": "v + 11", "l": 15}, "premises": {"l": 15}, "target": "i"}, "answer": {"steps": [["j", "a + 20", "a + 35"], ["a", "c + 10", "c + 45"], ["c", "s + 11", "s + 56"], ["s", "h + 20", "h + 76"], ["h", "l + 18", "l + 94"], ["l", 15, "109"]], "target_var_name": "i", "target_value": 109, "value_dict": {"l": 15}, "is_reverse": true}} | 11,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 10; j = a + 20; v = d + 11; w = v + 11; s = h + 20; z = l + 5; c = s + 11; d = x + 9; x = t + 11; h = l + 18; l = 15; t = z + 3; i = j + 15. If l = 15, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 20 to i, which gives i = a + 35.\n2. Substitute a = c + 10 to i, which gives i = c + 45.\n3. Substitute c = s + 11 to i, which gives i = s + 56.\n4. Substitute s = h + 20 to i, which gives i = h + 76.\n5. Substitute h = l + 18 to i, which gives i = l + 94.\n6. Substitute l = 15 to i, which gives i = 109.\n\nThus, the final answer is i = \\boxed{109}.",
"index": 11612,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 10; j = a + 20; v = d + 11; w = v + 11; s = h + 20; z = l + 5; c = s + 11; d = x + 9; x = t + 11; h = l + 18; l = 15; t = z + 3; i = j + 15. If l = 15, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 9", "z": "y + 19", "g": "z + 9", "w": "g + 5", "p": "w + 18", "m": "p + 12", "a": "i + 8", "n": "a + 20", "f": "n + 8", "u": "f + 13", "c": "u + 1", "k": "c + 5", "i": 5}, "premises": {"i": 5}, "target": "m"}, "answer": {"steps": [["p", "w + 18", "w + 30"], ["w", "g + 5", "g + 35"], ["g", "z + 9", "z + 44"], ["z", "y + 19", "y + 63"], ["y", "i + 9", "i + 72"], ["i", 5, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"i": 5}, "is_reverse": true}} | 11,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 5; y = i + 9; u = f + 13; z = y + 19; f = n + 8; w = g + 5; g = z + 9; a = i + 8; m = p + 12; n = a + 20; c = u + 1; i = 5; p = w + 18. If i = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 18 to m, which gives m = w + 30.\n2. Substitute w = g + 5 to m, which gives m = g + 35.\n3. Substitute g = z + 9 to m, which gives m = z + 44.\n4. Substitute z = y + 19 to m, which gives m = y + 63.\n5. Substitute y = i + 9 to m, which gives m = i + 72.\n6. Substitute i = 5 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 11613,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 5; y = i + 9; u = f + 13; z = y + 19; f = n + 8; w = g + 5; g = z + 9; a = i + 8; m = p + 12; n = a + 20; c = u + 1; i = 5; p = w + 18. If i = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 8", "b": "y + 1", "i": "b + 11", "z": "i + 18", "r": "z + 13", "g": "r + 14", "w": "k + 17", "j": "w + 14", "e": "j + 18", "v": "e + 15", "x": "v + 11", "m": "x + 1", "k": 19}, "premises": {"k": 19}, "target": "g"}, "answer": {"steps": [["r", "z + 13", "z + 27"], ["z", "i + 18", "i + 45"], ["i", "b + 11", "b + 56"], ["b", "y + 1", "y + 57"], ["y", "k + 8", "k + 65"], ["k", 19, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"k": 19}, "is_reverse": true}} | 11,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 13; y = k + 8; k = 19; e = j + 18; w = k + 17; i = b + 11; x = v + 11; j = w + 14; b = y + 1; g = r + 14; v = e + 15; z = i + 18; m = x + 1. Given that k = 19, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 13 to g, which gives g = z + 27.\n2. Substitute z = i + 18 to g, which gives g = i + 45.\n3. Substitute i = b + 11 to g, which gives g = b + 56.\n4. Substitute b = y + 1 to g, which gives g = y + 57.\n5. Substitute y = k + 8 to g, which gives g = k + 65.\n6. Substitute k = 19 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 11614,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 13; y = k + 8; k = 19; e = j + 18; w = k + 17; i = b + 11; x = v + 11; j = w + 14; b = y + 1; g = r + 14; v = e + 15; z = i + 18; m = x + 1. Given that k = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 19", "l": "i + 12", "w": "l + 9", "t": "w + 11", "g": "t + 12", "c": "g + 6", "f": "b + 14", "v": "f + 5", "j": "v + 10", "s": "j + 14", "e": "s + 13", "o": "e + 1", "b": 5}, "premises": {"b": 5}, "target": "c"}, "answer": {"steps": [["g", "t + 12", "t + 18"], ["t", "w + 11", "w + 29"], ["w", "l + 9", "l + 38"], ["l", "i + 12", "i + 50"], ["i", "b + 19", "b + 69"], ["b", 5, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"b": 5}, "is_reverse": true}} | 11,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 5; e = s + 13; i = b + 19; v = f + 5; t = w + 11; s = j + 14; o = e + 1; g = t + 12; l = i + 12; f = b + 14; c = g + 6; w = l + 9; j = v + 10. Given that b = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 12 to c, which gives c = t + 18.\n2. Substitute t = w + 11 to c, which gives c = w + 29.\n3. Substitute w = l + 9 to c, which gives c = l + 38.\n4. Substitute l = i + 12 to c, which gives c = i + 50.\n5. Substitute i = b + 19 to c, which gives c = b + 69.\n6. Substitute b = 5 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 11615,
"question": "Suppose a collection of variables is related by the following definitions: b = 5; e = s + 13; i = b + 19; v = f + 5; t = w + 11; s = j + 14; o = e + 1; g = t + 12; l = i + 12; f = b + 14; c = g + 6; w = l + 9; j = v + 10. Given that b = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 11", "s": "o + 12", "f": "s + 14", "b": "f + 18", "i": "b + 9", "p": "i + 2", "n": "d + 4", "h": "n + 12", "v": "h + 3", "m": "v + 10", "j": "m + 4", "w": "j + 8", "d": 12}, "premises": {"d": 12}, "target": "p"}, "answer": {"steps": [["i", "b + 9", "b + 11"], ["b", "f + 18", "f + 29"], ["f", "s + 14", "s + 43"], ["s", "o + 12", "o + 55"], ["o", "d + 11", "d + 66"], ["d", 12, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"d": 12}, "is_reverse": true}} | 11,616 | 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 = h + 3; h = n + 12; o = d + 11; n = d + 4; m = v + 10; p = i + 2; d = 12; i = b + 9; j = m + 4; s = o + 12; w = j + 8; f = s + 14; b = f + 18. If d = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 9 to p, which gives p = b + 11.\n2. Substitute b = f + 18 to p, which gives p = f + 29.\n3. Substitute f = s + 14 to p, which gives p = s + 43.\n4. Substitute s = o + 12 to p, which gives p = o + 55.\n5. Substitute o = d + 11 to p, which gives p = d + 66.\n6. Substitute d = 12 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 11616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 3; h = n + 12; o = d + 11; n = d + 4; m = v + 10; p = i + 2; d = 12; i = b + 9; j = m + 4; s = o + 12; w = j + 8; f = s + 14; b = f + 18. If d = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 13", "i": "x + 3", "h": "i + 9", "y": "h + 9", "r": "y + 5", "w": "r + 5", "c": "b + 10", "f": "c + 19", "t": "f + 3", "m": "t + 4", "a": "m + 19", "j": "a + 9", "b": 8}, "premises": {"b": 8}, "target": "w"}, "answer": {"steps": [["r", "y + 5", "y + 10"], ["y", "h + 9", "h + 19"], ["h", "i + 9", "i + 28"], ["i", "x + 3", "x + 31"], ["x", "b + 13", "b + 44"], ["b", 8, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"b": 8}, "is_reverse": true}} | 11,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 5; c = b + 10; a = m + 19; f = c + 19; t = f + 3; w = r + 5; i = x + 3; j = a + 9; m = t + 4; x = b + 13; b = 8; y = h + 9; h = i + 9. If b = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 5 to w, which gives w = y + 10.\n2. Substitute y = h + 9 to w, which gives w = h + 19.\n3. Substitute h = i + 9 to w, which gives w = i + 28.\n4. Substitute i = x + 3 to w, which gives w = x + 31.\n5. Substitute x = b + 13 to w, which gives w = b + 44.\n6. Substitute b = 8 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 11617,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 5; c = b + 10; a = m + 19; f = c + 19; t = f + 3; w = r + 5; i = x + 3; j = a + 9; m = t + 4; x = b + 13; b = 8; y = h + 9; h = i + 9. If b = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 16", "y": "d + 20", "t": "y + 19", "n": "t + 2", "m": "n + 12", "o": "m + 19", "x": "l + 14", "e": "x + 3", "u": "e + 3", "g": "u + 14", "p": "g + 15", "c": "p + 9", "l": 9}, "premises": {"l": 9}, "target": "o"}, "answer": {"steps": [["m", "n + 12", "n + 31"], ["n", "t + 2", "t + 33"], ["t", "y + 19", "y + 52"], ["y", "d + 20", "d + 72"], ["d", "l + 16", "l + 88"], ["l", 9, "97"]], "target_var_name": "o", "target_value": 97, "value_dict": {"l": 9}, "is_reverse": true}} | 11,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 15; o = m + 19; l = 9; u = e + 3; d = l + 16; y = d + 20; x = l + 14; n = t + 2; m = n + 12; t = y + 19; c = p + 9; e = x + 3; g = u + 14. If l = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 12 to o, which gives o = n + 31.\n2. Substitute n = t + 2 to o, which gives o = t + 33.\n3. Substitute t = y + 19 to o, which gives o = y + 52.\n4. Substitute y = d + 20 to o, which gives o = d + 72.\n5. Substitute d = l + 16 to o, which gives o = l + 88.\n6. Substitute l = 9 to o, which gives o = 97.\n\nThus, the final answer is o = \\boxed{97}.",
"index": 11618,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 15; o = m + 19; l = 9; u = e + 3; d = l + 16; y = d + 20; x = l + 14; n = t + 2; m = n + 12; t = y + 19; c = p + 9; e = x + 3; g = u + 14. If l = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 10", "j": "q + 6", "t": "j + 2", "d": "t + 10", "a": "d + 14", "n": "a + 10", "h": "r + 9", "s": "h + 15", "y": "s + 4", "m": "y + 6", "o": "m + 2", "l": "o + 11", "r": 6}, "premises": {"r": 6}, "target": "n"}, "answer": {"steps": [["a", "d + 14", "d + 24"], ["d", "t + 10", "t + 34"], ["t", "j + 2", "j + 36"], ["j", "q + 6", "q + 42"], ["q", "r + 10", "r + 52"], ["r", 6, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"r": 6}, "is_reverse": true}} | 11,619 | 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 = h + 15; t = j + 2; j = q + 6; o = m + 2; l = o + 11; m = y + 6; h = r + 9; n = a + 10; r = 6; q = r + 10; a = d + 14; d = t + 10; y = s + 4. If r = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 14 to n, which gives n = d + 24.\n2. Substitute d = t + 10 to n, which gives n = t + 34.\n3. Substitute t = j + 2 to n, which gives n = j + 36.\n4. Substitute j = q + 6 to n, which gives n = q + 42.\n5. Substitute q = r + 10 to n, which gives n = r + 52.\n6. Substitute r = 6 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 11619,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 15; t = j + 2; j = q + 6; o = m + 2; l = o + 11; m = y + 6; h = r + 9; n = a + 10; r = 6; q = r + 10; a = d + 14; d = t + 10; y = s + 4. If r = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 10", "r": "x + 19", "p": "r + 3", "t": "p + 8", "q": "t + 2", "h": "q + 6", "u": "s + 18", "i": "u + 12", "d": "i + 5", "l": "d + 12", "n": "l + 11", "e": "n + 14", "s": 1}, "premises": {"s": 1}, "target": "h"}, "answer": {"steps": [["q", "t + 2", "t + 8"], ["t", "p + 8", "p + 16"], ["p", "r + 3", "r + 19"], ["r", "x + 19", "x + 38"], ["x", "s + 10", "s + 48"], ["s", 1, "49"]], "target_var_name": "h", "target_value": 49, "value_dict": {"s": 1}, "is_reverse": true}} | 11,620 | 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 = t + 2; p = r + 3; i = u + 12; h = q + 6; n = l + 11; r = x + 19; x = s + 10; d = i + 5; e = n + 14; u = s + 18; t = p + 8; s = 1; l = d + 12. If s = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 2 to h, which gives h = t + 8.\n2. Substitute t = p + 8 to h, which gives h = p + 16.\n3. Substitute p = r + 3 to h, which gives h = r + 19.\n4. Substitute r = x + 19 to h, which gives h = x + 38.\n5. Substitute x = s + 10 to h, which gives h = s + 48.\n6. Substitute s = 1 to h, which gives h = 49.\n\nThus, the final answer is h = \\boxed{49}.",
"index": 11620,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 2; p = r + 3; i = u + 12; h = q + 6; n = l + 11; r = x + 19; x = s + 10; d = i + 5; e = n + 14; u = s + 18; t = p + 8; s = 1; l = d + 12. If s = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 2", "m": "g + 6", "p": "m + 7", "l": "p + 11", "u": "l + 19", "k": "u + 6", "q": "b + 19", "j": "q + 12", "a": "j + 20", "i": "a + 10", "v": "i + 10", "h": "v + 11", "b": 20}, "premises": {"b": 20}, "target": "k"}, "answer": {"steps": [["u", "l + 19", "l + 25"], ["l", "p + 11", "p + 36"], ["p", "m + 7", "m + 43"], ["m", "g + 6", "g + 49"], ["g", "b + 2", "b + 51"], ["b", 20, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"b": 20}, "is_reverse": true}} | 11,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 11; a = j + 20; m = g + 6; h = v + 11; g = b + 2; b = 20; p = m + 7; q = b + 19; u = l + 19; i = a + 10; k = u + 6; j = q + 12; v = i + 10. Given that b = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 19 to k, which gives k = l + 25.\n2. Substitute l = p + 11 to k, which gives k = p + 36.\n3. Substitute p = m + 7 to k, which gives k = m + 43.\n4. Substitute m = g + 6 to k, which gives k = g + 49.\n5. Substitute g = b + 2 to k, which gives k = b + 51.\n6. Substitute b = 20 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 11621,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 11; a = j + 20; m = g + 6; h = v + 11; g = b + 2; b = 20; p = m + 7; q = b + 19; u = l + 19; i = a + 10; k = u + 6; j = q + 12; v = i + 10. Given that b = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 8", "y": "b + 1", "c": "y + 18", "u": "c + 9", "x": "u + 6", "s": "x + 12", "g": "o + 15", "n": "g + 12", "p": "n + 3", "f": "p + 11", "h": "f + 3", "l": "h + 10", "o": 4}, "premises": {"o": 4}, "target": "s"}, "answer": {"steps": [["x", "u + 6", "u + 18"], ["u", "c + 9", "c + 27"], ["c", "y + 18", "y + 45"], ["y", "b + 1", "b + 46"], ["b", "o + 8", "o + 54"], ["o", 4, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"o": 4}, "is_reverse": true}} | 11,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 4; s = x + 12; h = f + 3; y = b + 1; n = g + 12; u = c + 9; l = h + 10; f = p + 11; x = u + 6; g = o + 15; p = n + 3; c = y + 18; b = o + 8. If o = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 6 to s, which gives s = u + 18.\n2. Substitute u = c + 9 to s, which gives s = c + 27.\n3. Substitute c = y + 18 to s, which gives s = y + 45.\n4. Substitute y = b + 1 to s, which gives s = b + 46.\n5. Substitute b = o + 8 to s, which gives s = o + 54.\n6. Substitute o = 4 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 11622,
"question": "Consider a system of variables where each variable is defined as follows: o = 4; s = x + 12; h = f + 3; y = b + 1; n = g + 12; u = c + 9; l = h + 10; f = p + 11; x = u + 6; g = o + 15; p = n + 3; c = y + 18; b = o + 8. If o = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 7", "e": "a + 7", "w": "e + 14", "s": "w + 18", "u": "s + 7", "h": "u + 9", "n": "t + 10", "i": "n + 16", "c": "i + 16", "b": "c + 16", "l": "b + 12", "d": "l + 4", "t": 2}, "premises": {"t": 2}, "target": "h"}, "answer": {"steps": [["u", "s + 7", "s + 16"], ["s", "w + 18", "w + 34"], ["w", "e + 14", "e + 48"], ["e", "a + 7", "a + 55"], ["a", "t + 7", "t + 62"], ["t", 2, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"t": 2}, "is_reverse": true}} | 11,623 | 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 = i + 16; u = s + 7; b = c + 16; l = b + 12; d = l + 4; e = a + 7; w = e + 14; h = u + 9; i = n + 16; t = 2; a = t + 7; s = w + 18; n = t + 10. If t = 2, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 7 to h, which gives h = s + 16.\n2. Substitute s = w + 18 to h, which gives h = w + 34.\n3. Substitute w = e + 14 to h, which gives h = e + 48.\n4. Substitute e = a + 7 to h, which gives h = a + 55.\n5. Substitute a = t + 7 to h, which gives h = t + 62.\n6. Substitute t = 2 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 11623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 16; u = s + 7; b = c + 16; l = b + 12; d = l + 4; e = a + 7; w = e + 14; h = u + 9; i = n + 16; t = 2; a = t + 7; s = w + 18; n = t + 10. If t = 2, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 4", "t": "w + 11", "q": "t + 6", "e": "q + 5", "n": "e + 3", "b": "n + 13", "x": "l + 4", "c": "x + 14", "i": "c + 14", "u": "i + 16", "o": "u + 19", "p": "o + 9", "l": 7}, "premises": {"l": 7}, "target": "b"}, "answer": {"steps": [["n", "e + 3", "e + 16"], ["e", "q + 5", "q + 21"], ["q", "t + 6", "t + 27"], ["t", "w + 11", "w + 38"], ["w", "l + 4", "l + 42"], ["l", 7, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"l": 7}, "is_reverse": true}} | 11,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = l + 4; q = t + 6; l = 7; t = w + 11; n = e + 3; o = u + 19; b = n + 13; p = o + 9; w = l + 4; e = q + 5; c = x + 14; i = c + 14; u = i + 16. If l = 7, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 3 to b, which gives b = e + 16.\n2. Substitute e = q + 5 to b, which gives b = q + 21.\n3. Substitute q = t + 6 to b, which gives b = t + 27.\n4. Substitute t = w + 11 to b, which gives b = w + 38.\n5. Substitute w = l + 4 to b, which gives b = l + 42.\n6. Substitute l = 7 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 11624,
"question": "Consider a system of variables where each variable is defined as follows: x = l + 4; q = t + 6; l = 7; t = w + 11; n = e + 3; o = u + 19; b = n + 13; p = o + 9; w = l + 4; e = q + 5; c = x + 14; i = c + 14; u = i + 16. If l = 7, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 7", "m": "e + 5", "a": "m + 4", "z": "a + 8", "q": "z + 5", "u": "q + 15", "k": "v + 7", "f": "k + 20", "i": "f + 12", "y": "i + 2", "o": "y + 16", "w": "o + 1", "v": 10}, "premises": {"v": 10}, "target": "u"}, "answer": {"steps": [["q", "z + 5", "z + 20"], ["z", "a + 8", "a + 28"], ["a", "m + 4", "m + 32"], ["m", "e + 5", "e + 37"], ["e", "v + 7", "v + 44"], ["v", 10, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"v": 10}, "is_reverse": true}} | 11,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 2; i = f + 12; e = v + 7; q = z + 5; o = y + 16; z = a + 8; m = e + 5; a = m + 4; f = k + 20; w = o + 1; v = 10; k = v + 7; u = q + 15. If v = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 5 to u, which gives u = z + 20.\n2. Substitute z = a + 8 to u, which gives u = a + 28.\n3. Substitute a = m + 4 to u, which gives u = m + 32.\n4. Substitute m = e + 5 to u, which gives u = e + 37.\n5. Substitute e = v + 7 to u, which gives u = v + 44.\n6. Substitute v = 10 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 11625,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 2; i = f + 12; e = v + 7; q = z + 5; o = y + 16; z = a + 8; m = e + 5; a = m + 4; f = k + 20; w = o + 1; v = 10; k = v + 7; u = q + 15. If v = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 19", "c": "s + 9", "w": "c + 5", "v": "w + 3", "b": "v + 12", "j": "b + 3", "d": "t + 11", "k": "d + 10", "x": "k + 4", "f": "x + 7", "i": "f + 13", "l": "i + 4", "t": 6}, "premises": {"t": 6}, "target": "j"}, "answer": {"steps": [["b", "v + 12", "v + 15"], ["v", "w + 3", "w + 18"], ["w", "c + 5", "c + 23"], ["c", "s + 9", "s + 32"], ["s", "t + 19", "t + 51"], ["t", 6, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"t": 6}, "is_reverse": true}} | 11,626 | 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 = b + 3; l = i + 4; v = w + 3; c = s + 9; f = x + 7; t = 6; i = f + 13; d = t + 11; w = c + 5; x = k + 4; k = d + 10; b = v + 12; s = t + 19. If t = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 12 to j, which gives j = v + 15.\n2. Substitute v = w + 3 to j, which gives j = w + 18.\n3. Substitute w = c + 5 to j, which gives j = c + 23.\n4. Substitute c = s + 9 to j, which gives j = s + 32.\n5. Substitute s = t + 19 to j, which gives j = t + 51.\n6. Substitute t = 6 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 11626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = b + 3; l = i + 4; v = w + 3; c = s + 9; f = x + 7; t = 6; i = f + 13; d = t + 11; w = c + 5; x = k + 4; k = d + 10; b = v + 12; s = t + 19. If t = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 13", "x": "n + 17", "w": "x + 19", "i": "w + 15", "p": "i + 12", "s": "p + 19", "l": "r + 15", "a": "l + 17", "z": "a + 14", "f": "z + 6", "t": "f + 19", "j": "t + 11", "r": 13}, "premises": {"r": 13}, "target": "s"}, "answer": {"steps": [["p", "i + 12", "i + 31"], ["i", "w + 15", "w + 46"], ["w", "x + 19", "x + 65"], ["x", "n + 17", "n + 82"], ["n", "r + 13", "r + 95"], ["r", 13, "108"]], "target_var_name": "s", "target_value": 108, "value_dict": {"r": 13}, "is_reverse": true}} | 11,627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 17; i = w + 15; l = r + 15; n = r + 13; t = f + 19; x = n + 17; r = 13; w = x + 19; p = i + 12; z = a + 14; f = z + 6; j = t + 11; s = p + 19. Given that r = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 12 to s, which gives s = i + 31.\n2. Substitute i = w + 15 to s, which gives s = w + 46.\n3. Substitute w = x + 19 to s, which gives s = x + 65.\n4. Substitute x = n + 17 to s, which gives s = n + 82.\n5. Substitute n = r + 13 to s, which gives s = r + 95.\n6. Substitute r = 13 to s, which gives s = 108.\n\nThus, the final answer is s = \\boxed{108}.",
"index": 11627,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 17; i = w + 15; l = r + 15; n = r + 13; t = f + 19; x = n + 17; r = 13; w = x + 19; p = i + 12; z = a + 14; f = z + 6; j = t + 11; s = p + 19. Given that r = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 18", "j": "o + 17", "h": "j + 17", "r": "h + 15", "d": "r + 10", "v": "d + 13", "w": "u + 1", "s": "w + 16", "p": "s + 16", "k": "p + 10", "b": "k + 13", "a": "b + 19", "u": 8}, "premises": {"u": 8}, "target": "v"}, "answer": {"steps": [["d", "r + 10", "r + 23"], ["r", "h + 15", "h + 38"], ["h", "j + 17", "j + 55"], ["j", "o + 17", "o + 72"], ["o", "u + 18", "u + 90"], ["u", 8, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"u": 8}, "is_reverse": true}} | 11,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 15; b = k + 13; o = u + 18; j = o + 17; h = j + 17; k = p + 10; a = b + 19; v = d + 13; s = w + 16; d = r + 10; u = 8; w = u + 1; p = s + 16. If u = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 10 to v, which gives v = r + 23.\n2. Substitute r = h + 15 to v, which gives v = h + 38.\n3. Substitute h = j + 17 to v, which gives v = j + 55.\n4. Substitute j = o + 17 to v, which gives v = o + 72.\n5. Substitute o = u + 18 to v, which gives v = u + 90.\n6. Substitute u = 8 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 11628,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 15; b = k + 13; o = u + 18; j = o + 17; h = j + 17; k = p + 10; a = b + 19; v = d + 13; s = w + 16; d = r + 10; u = 8; w = u + 1; p = s + 16. If u = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 12", "w": "o + 17", "n": "w + 20", "v": "n + 6", "z": "v + 3", "a": "z + 11", "i": "j + 3", "m": "i + 11", "b": "m + 14", "d": "b + 20", "r": "d + 19", "k": "r + 4", "j": 2}, "premises": {"j": 2}, "target": "a"}, "answer": {"steps": [["z", "v + 3", "v + 14"], ["v", "n + 6", "n + 20"], ["n", "w + 20", "w + 40"], ["w", "o + 17", "o + 57"], ["o", "j + 12", "j + 69"], ["j", 2, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"j": 2}, "is_reverse": true}} | 11,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 20; k = r + 4; i = j + 3; b = m + 14; a = z + 11; v = n + 6; z = v + 3; n = w + 20; w = o + 17; r = d + 19; j = 2; o = j + 12; m = i + 11. If j = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 3 to a, which gives a = v + 14.\n2. Substitute v = n + 6 to a, which gives a = n + 20.\n3. Substitute n = w + 20 to a, which gives a = w + 40.\n4. Substitute w = o + 17 to a, which gives a = o + 57.\n5. Substitute o = j + 12 to a, which gives a = j + 69.\n6. Substitute j = 2 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 11629,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 20; k = r + 4; i = j + 3; b = m + 14; a = z + 11; v = n + 6; z = v + 3; n = w + 20; w = o + 17; r = d + 19; j = 2; o = j + 12; m = i + 11. If j = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 10", "l": "e + 12", "i": "l + 12", "z": "i + 13", "u": "z + 11", "p": "u + 12", "t": "a + 1", "s": "t + 5", "h": "s + 9", "k": "h + 18", "d": "k + 3", "r": "d + 9", "a": 12}, "premises": {"a": 12}, "target": "p"}, "answer": {"steps": [["u", "z + 11", "z + 23"], ["z", "i + 13", "i + 36"], ["i", "l + 12", "l + 48"], ["l", "e + 12", "e + 60"], ["e", "a + 10", "a + 70"], ["a", 12, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"a": 12}, "is_reverse": true}} | 11,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = u + 12; k = h + 18; a = 12; z = i + 13; h = s + 9; l = e + 12; e = a + 10; r = d + 9; u = z + 11; i = l + 12; d = k + 3; t = a + 1; s = t + 5. If a = 12, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 11 to p, which gives p = z + 23.\n2. Substitute z = i + 13 to p, which gives p = i + 36.\n3. Substitute i = l + 12 to p, which gives p = l + 48.\n4. Substitute l = e + 12 to p, which gives p = e + 60.\n5. Substitute e = a + 10 to p, which gives p = a + 70.\n6. Substitute a = 12 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 11630,
"question": "Consider a system of variables where each variable is defined as follows: p = u + 12; k = h + 18; a = 12; z = i + 13; h = s + 9; l = e + 12; e = a + 10; r = d + 9; u = z + 11; i = l + 12; d = k + 3; t = a + 1; s = t + 5. If a = 12, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 5", "a": "j + 1", "b": "a + 15", "p": "b + 19", "u": "p + 15", "h": "u + 17", "s": "v + 10", "z": "s + 1", "g": "z + 14", "y": "g + 13", "r": "y + 18", "l": "r + 5", "v": 18}, "premises": {"v": 18}, "target": "h"}, "answer": {"steps": [["u", "p + 15", "p + 32"], ["p", "b + 19", "b + 51"], ["b", "a + 15", "a + 66"], ["a", "j + 1", "j + 67"], ["j", "v + 5", "v + 72"], ["v", 18, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"v": 18}, "is_reverse": true}} | 11,631 | 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 = b + 19; u = p + 15; b = a + 15; g = z + 14; j = v + 5; l = r + 5; r = y + 18; v = 18; z = s + 1; h = u + 17; s = v + 10; a = j + 1; y = g + 13. If v = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 15 to h, which gives h = p + 32.\n2. Substitute p = b + 19 to h, which gives h = b + 51.\n3. Substitute b = a + 15 to h, which gives h = a + 66.\n4. Substitute a = j + 1 to h, which gives h = j + 67.\n5. Substitute j = v + 5 to h, which gives h = v + 72.\n6. Substitute v = 18 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 11631,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 19; u = p + 15; b = a + 15; g = z + 14; j = v + 5; l = r + 5; r = y + 18; v = 18; z = s + 1; h = u + 17; s = v + 10; a = j + 1; y = g + 13. If v = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 15", "i": "o + 8", "b": "i + 4", "x": "b + 4", "n": "x + 2", "y": "n + 12", "z": "u + 7", "h": "z + 8", "p": "h + 4", "r": "p + 16", "j": "r + 15", "a": "j + 13", "u": 15}, "premises": {"u": 15}, "target": "y"}, "answer": {"steps": [["n", "x + 2", "x + 14"], ["x", "b + 4", "b + 18"], ["b", "i + 4", "i + 22"], ["i", "o + 8", "o + 30"], ["o", "u + 15", "u + 45"], ["u", 15, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"u": 15}, "is_reverse": true}} | 11,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = j + 13; i = o + 8; r = p + 16; u = 15; z = u + 7; p = h + 4; n = x + 2; h = z + 8; x = b + 4; j = r + 15; y = n + 12; o = u + 15; b = i + 4. Given that u = 15, find 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. Substitute n = x + 2 to y, which gives y = x + 14.\n2. Substitute x = b + 4 to y, which gives y = b + 18.\n3. Substitute b = i + 4 to y, which gives y = i + 22.\n4. Substitute i = o + 8 to y, which gives y = o + 30.\n5. Substitute o = u + 15 to y, which gives y = u + 45.\n6. Substitute u = 15 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 11632,
"question": "Suppose a collection of variables is related by the following definitions: a = j + 13; i = o + 8; r = p + 16; u = 15; z = u + 7; p = h + 4; n = x + 2; h = z + 8; x = b + 4; j = r + 15; y = n + 12; o = u + 15; b = i + 4. Given that u = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 9", "q": "c + 17", "x": "q + 2", "g": "x + 4", "f": "g + 16", "n": "f + 8", "l": "s + 16", "e": "l + 3", "u": "e + 9", "a": "u + 18", "w": "a + 4", "i": "w + 5", "s": 6}, "premises": {"s": 6}, "target": "n"}, "answer": {"steps": [["f", "g + 16", "g + 24"], ["g", "x + 4", "x + 28"], ["x", "q + 2", "q + 30"], ["q", "c + 17", "c + 47"], ["c", "s + 9", "s + 56"], ["s", 6, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"s": 6}, "is_reverse": true}} | 11,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 2; u = e + 9; g = x + 4; q = c + 17; c = s + 9; i = w + 5; a = u + 18; f = g + 16; n = f + 8; l = s + 16; w = a + 4; e = l + 3; s = 6. If s = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 16 to n, which gives n = g + 24.\n2. Substitute g = x + 4 to n, which gives n = x + 28.\n3. Substitute x = q + 2 to n, which gives n = q + 30.\n4. Substitute q = c + 17 to n, which gives n = c + 47.\n5. Substitute c = s + 9 to n, which gives n = s + 56.\n6. Substitute s = 6 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 11633,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 2; u = e + 9; g = x + 4; q = c + 17; c = s + 9; i = w + 5; a = u + 18; f = g + 16; n = f + 8; l = s + 16; w = a + 4; e = l + 3; s = 6. If s = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 12", "i": "x + 2", "w": "i + 3", "l": "w + 3", "n": "l + 6", "d": "n + 10", "m": "z + 9", "u": "m + 12", "e": "u + 5", "v": "e + 14", "h": "v + 15", "o": "h + 2", "z": 8}, "premises": {"z": 8}, "target": "d"}, "answer": {"steps": [["n", "l + 6", "l + 16"], ["l", "w + 3", "w + 19"], ["w", "i + 3", "i + 22"], ["i", "x + 2", "x + 24"], ["x", "z + 12", "z + 36"], ["z", 8, "44"]], "target_var_name": "d", "target_value": 44, "value_dict": {"z": 8}, "is_reverse": true}} | 11,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 15; m = z + 9; w = i + 3; x = z + 12; e = u + 5; i = x + 2; z = 8; n = l + 6; o = h + 2; v = e + 14; d = n + 10; u = m + 12; l = w + 3. Given that z = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 6 to d, which gives d = l + 16.\n2. Substitute l = w + 3 to d, which gives d = w + 19.\n3. Substitute w = i + 3 to d, which gives d = i + 22.\n4. Substitute i = x + 2 to d, which gives d = x + 24.\n5. Substitute x = z + 12 to d, which gives d = z + 36.\n6. Substitute z = 8 to d, which gives d = 44.\n\nThus, the final answer is d = \\boxed{44}.",
"index": 11634,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 15; m = z + 9; w = i + 3; x = z + 12; e = u + 5; i = x + 2; z = 8; n = l + 6; o = h + 2; v = e + 14; d = n + 10; u = m + 12; l = w + 3. Given that z = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 13", "z": "g + 17", "a": "z + 15", "f": "a + 11", "j": "f + 2", "d": "j + 15", "s": "p + 8", "q": "s + 14", "r": "q + 17", "k": "r + 15", "v": "k + 16", "u": "v + 12", "p": 20}, "premises": {"p": 20}, "target": "d"}, "answer": {"steps": [["j", "f + 2", "f + 17"], ["f", "a + 11", "a + 28"], ["a", "z + 15", "z + 43"], ["z", "g + 17", "g + 60"], ["g", "p + 13", "p + 73"], ["p", 20, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"p": 20}, "is_reverse": true}} | 11,635 | 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 = f + 2; d = j + 15; k = r + 15; s = p + 8; r = q + 17; z = g + 17; p = 20; g = p + 13; a = z + 15; f = a + 11; u = v + 12; v = k + 16; q = s + 14. If p = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 2 to d, which gives d = f + 17.\n2. Substitute f = a + 11 to d, which gives d = a + 28.\n3. Substitute a = z + 15 to d, which gives d = z + 43.\n4. Substitute z = g + 17 to d, which gives d = g + 60.\n5. Substitute g = p + 13 to d, which gives d = p + 73.\n6. Substitute p = 20 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 11635,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 2; d = j + 15; k = r + 15; s = p + 8; r = q + 17; z = g + 17; p = 20; g = p + 13; a = z + 15; f = a + 11; u = v + 12; v = k + 16; q = s + 14. If p = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 7", "y": "f + 20", "r": "y + 14", "n": "r + 12", "g": "n + 2", "p": "g + 14", "j": "x + 20", "h": "j + 20", "v": "h + 20", "m": "v + 19", "u": "m + 16", "o": "u + 15", "x": 1}, "premises": {"x": 1}, "target": "p"}, "answer": {"steps": [["g", "n + 2", "n + 16"], ["n", "r + 12", "r + 28"], ["r", "y + 14", "y + 42"], ["y", "f + 20", "f + 62"], ["f", "x + 7", "x + 69"], ["x", 1, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"x": 1}, "is_reverse": true}} | 11,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 14; x = 1; u = m + 16; v = h + 20; m = v + 19; p = g + 14; o = u + 15; h = j + 20; y = f + 20; f = x + 7; j = x + 20; n = r + 12; g = n + 2. If x = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 2 to p, which gives p = n + 16.\n2. Substitute n = r + 12 to p, which gives p = r + 28.\n3. Substitute r = y + 14 to p, which gives p = y + 42.\n4. Substitute y = f + 20 to p, which gives p = f + 62.\n5. Substitute f = x + 7 to p, which gives p = x + 69.\n6. Substitute x = 1 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 11636,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 14; x = 1; u = m + 16; v = h + 20; m = v + 19; p = g + 14; o = u + 15; h = j + 20; y = f + 20; f = x + 7; j = x + 20; n = r + 12; g = n + 2. If x = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 17", "j": "r + 4", "f": "j + 17", "w": "f + 19", "g": "w + 12", "x": "g + 16", "o": "i + 20", "v": "o + 14", "m": "v + 14", "q": "m + 19", "k": "q + 11", "a": "k + 14", "i": 8}, "premises": {"i": 8}, "target": "x"}, "answer": {"steps": [["g", "w + 12", "w + 28"], ["w", "f + 19", "f + 47"], ["f", "j + 17", "j + 64"], ["j", "r + 4", "r + 68"], ["r", "i + 17", "i + 85"], ["i", 8, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"i": 8}, "is_reverse": true}} | 11,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 17; j = r + 4; q = m + 19; g = w + 12; w = f + 19; o = i + 20; k = q + 11; v = o + 14; a = k + 14; m = v + 14; x = g + 16; i = 8; r = i + 17. Given that i = 8, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 12 to x, which gives x = w + 28.\n2. Substitute w = f + 19 to x, which gives x = f + 47.\n3. Substitute f = j + 17 to x, which gives x = j + 64.\n4. Substitute j = r + 4 to x, which gives x = r + 68.\n5. Substitute r = i + 17 to x, which gives x = i + 85.\n6. Substitute i = 8 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 11637,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 17; j = r + 4; q = m + 19; g = w + 12; w = f + 19; o = i + 20; k = q + 11; v = o + 14; a = k + 14; m = v + 14; x = g + 16; i = 8; r = i + 17. Given that i = 8, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 12", "j": "l + 14", "u": "j + 2", "r": "u + 5", "m": "r + 4", "y": "m + 4", "q": "e + 19", "i": "q + 7", "w": "i + 8", "f": "w + 18", "z": "f + 16", "x": "z + 1", "e": 4}, "premises": {"e": 4}, "target": "y"}, "answer": {"steps": [["m", "r + 4", "r + 8"], ["r", "u + 5", "u + 13"], ["u", "j + 2", "j + 15"], ["j", "l + 14", "l + 29"], ["l", "e + 12", "e + 41"], ["e", 4, "45"]], "target_var_name": "y", "target_value": 45, "value_dict": {"e": 4}, "is_reverse": true}} | 11,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 4; j = l + 14; i = q + 7; r = u + 5; e = 4; l = e + 12; x = z + 1; f = w + 18; u = j + 2; q = e + 19; y = m + 4; z = f + 16; w = i + 8. If e = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 4 to y, which gives y = r + 8.\n2. Substitute r = u + 5 to y, which gives y = u + 13.\n3. Substitute u = j + 2 to y, which gives y = j + 15.\n4. Substitute j = l + 14 to y, which gives y = l + 29.\n5. Substitute l = e + 12 to y, which gives y = e + 41.\n6. Substitute e = 4 to y, which gives y = 45.\n\nThus, the final answer is y = \\boxed{45}.",
"index": 11638,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 4; j = l + 14; i = q + 7; r = u + 5; e = 4; l = e + 12; x = z + 1; f = w + 18; u = j + 2; q = e + 19; y = m + 4; z = f + 16; w = i + 8. If e = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 15", "o": "r + 2", "w": "o + 1", "c": "w + 3", "v": "c + 8", "i": "v + 19", "q": "g + 15", "d": "q + 8", "a": "d + 13", "k": "a + 20", "u": "k + 4", "t": "u + 20", "g": 9}, "premises": {"g": 9}, "target": "i"}, "answer": {"steps": [["v", "c + 8", "c + 27"], ["c", "w + 3", "w + 30"], ["w", "o + 1", "o + 31"], ["o", "r + 2", "r + 33"], ["r", "g + 15", "g + 48"], ["g", 9, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"g": 9}, "is_reverse": true}} | 11,639 | 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 = g + 15; t = u + 20; u = k + 4; a = d + 13; g = 9; k = a + 20; v = c + 8; q = g + 15; w = o + 1; d = q + 8; o = r + 2; i = v + 19; c = w + 3. If g = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 8 to i, which gives i = c + 27.\n2. Substitute c = w + 3 to i, which gives i = w + 30.\n3. Substitute w = o + 1 to i, which gives i = o + 31.\n4. Substitute o = r + 2 to i, which gives i = r + 33.\n5. Substitute r = g + 15 to i, which gives i = g + 48.\n6. Substitute g = 9 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 11639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 15; t = u + 20; u = k + 4; a = d + 13; g = 9; k = a + 20; v = c + 8; q = g + 15; w = o + 1; d = q + 8; o = r + 2; i = v + 19; c = w + 3. If g = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 6", "r": "t + 20", "k": "r + 8", "f": "k + 13", "q": "f + 4", "g": "q + 19", "a": "u + 1", "l": "a + 17", "n": "l + 3", "c": "n + 10", "b": "c + 19", "m": "b + 8", "u": 1}, "premises": {"u": 1}, "target": "g"}, "answer": {"steps": [["q", "f + 4", "f + 23"], ["f", "k + 13", "k + 36"], ["k", "r + 8", "r + 44"], ["r", "t + 20", "t + 64"], ["t", "u + 6", "u + 70"], ["u", 1, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"u": 1}, "is_reverse": true}} | 11,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 6; c = n + 10; b = c + 19; n = l + 3; f = k + 13; m = b + 8; a = u + 1; u = 1; r = t + 20; q = f + 4; l = a + 17; g = q + 19; k = r + 8. If u = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 4 to g, which gives g = f + 23.\n2. Substitute f = k + 13 to g, which gives g = k + 36.\n3. Substitute k = r + 8 to g, which gives g = r + 44.\n4. Substitute r = t + 20 to g, which gives g = t + 64.\n5. Substitute t = u + 6 to g, which gives g = u + 70.\n6. Substitute u = 1 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 11640,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 6; c = n + 10; b = c + 19; n = l + 3; f = k + 13; m = b + 8; a = u + 1; u = 1; r = t + 20; q = f + 4; l = a + 17; g = q + 19; k = r + 8. If u = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 5", "h": "q + 7", "x": "h + 6", "t": "x + 6", "p": "t + 5", "k": "p + 15", "l": "z + 13", "n": "l + 14", "u": "n + 6", "c": "u + 4", "g": "c + 3", "o": "g + 15", "z": 13}, "premises": {"z": 13}, "target": "k"}, "answer": {"steps": [["p", "t + 5", "t + 20"], ["t", "x + 6", "x + 26"], ["x", "h + 6", "h + 32"], ["h", "q + 7", "q + 39"], ["q", "z + 5", "z + 44"], ["z", 13, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"z": 13}, "is_reverse": true}} | 11,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 5; l = z + 13; n = l + 14; p = t + 5; u = n + 6; g = c + 3; z = 13; o = g + 15; x = h + 6; t = x + 6; h = q + 7; c = u + 4; k = p + 15. If z = 13, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 5 to k, which gives k = t + 20.\n2. Substitute t = x + 6 to k, which gives k = x + 26.\n3. Substitute x = h + 6 to k, which gives k = h + 32.\n4. Substitute h = q + 7 to k, which gives k = q + 39.\n5. Substitute q = z + 5 to k, which gives k = z + 44.\n6. Substitute z = 13 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 11641,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 5; l = z + 13; n = l + 14; p = t + 5; u = n + 6; g = c + 3; z = 13; o = g + 15; x = h + 6; t = x + 6; h = q + 7; c = u + 4; k = p + 15. If z = 13, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 16", "b": "e + 13", "s": "b + 7", "l": "s + 11", "n": "l + 19", "d": "n + 15", "a": "r + 17", "v": "a + 12", "j": "v + 11", "i": "j + 9", "q": "i + 8", "u": "q + 18", "r": 17}, "premises": {"r": 17}, "target": "d"}, "answer": {"steps": [["n", "l + 19", "l + 34"], ["l", "s + 11", "s + 45"], ["s", "b + 7", "b + 52"], ["b", "e + 13", "e + 65"], ["e", "r + 16", "r + 81"], ["r", 17, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"r": 17}, "is_reverse": true}} | 11,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 17; u = q + 18; j = v + 11; l = s + 11; q = i + 8; n = l + 19; d = n + 15; i = j + 9; b = e + 13; r = 17; e = r + 16; v = a + 12; s = b + 7. Given that r = 17, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 19 to d, which gives d = l + 34.\n2. Substitute l = s + 11 to d, which gives d = s + 45.\n3. Substitute s = b + 7 to d, which gives d = b + 52.\n4. Substitute b = e + 13 to d, which gives d = e + 65.\n5. Substitute e = r + 16 to d, which gives d = r + 81.\n6. Substitute r = 17 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 11642,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 17; u = q + 18; j = v + 11; l = s + 11; q = i + 8; n = l + 19; d = n + 15; i = j + 9; b = e + 13; r = 17; e = r + 16; v = a + 12; s = b + 7. Given that r = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 5", "q": "j + 13", "z": "q + 4", "b": "z + 15", "e": "b + 4", "s": "e + 5", "g": "h + 20", "w": "g + 11", "k": "w + 13", "r": "k + 14", "a": "r + 11", "p": "a + 20", "h": 19}, "premises": {"h": 19}, "target": "s"}, "answer": {"steps": [["e", "b + 4", "b + 9"], ["b", "z + 15", "z + 24"], ["z", "q + 4", "q + 28"], ["q", "j + 13", "j + 41"], ["j", "h + 5", "h + 46"], ["h", 19, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"h": 19}, "is_reverse": true}} | 11,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 4; p = a + 20; g = h + 20; k = w + 13; w = g + 11; j = h + 5; b = z + 15; h = 19; r = k + 14; s = e + 5; q = j + 13; e = b + 4; a = r + 11. Given that h = 19, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 4 to s, which gives s = b + 9.\n2. Substitute b = z + 15 to s, which gives s = z + 24.\n3. Substitute z = q + 4 to s, which gives s = q + 28.\n4. Substitute q = j + 13 to s, which gives s = j + 41.\n5. Substitute j = h + 5 to s, which gives s = h + 46.\n6. Substitute h = 19 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 11643,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 4; p = a + 20; g = h + 20; k = w + 13; w = g + 11; j = h + 5; b = z + 15; h = 19; r = k + 14; s = e + 5; q = j + 13; e = b + 4; a = r + 11. Given that h = 19, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 20", "a": "s + 12", "w": "a + 14", "j": "w + 15", "m": "j + 10", "h": "m + 1", "e": "x + 13", "z": "e + 15", "l": "z + 1", "i": "l + 17", "y": "i + 10", "k": "y + 11", "x": 13}, "premises": {"x": 13}, "target": "h"}, "answer": {"steps": [["m", "j + 10", "j + 11"], ["j", "w + 15", "w + 26"], ["w", "a + 14", "a + 40"], ["a", "s + 12", "s + 52"], ["s", "x + 20", "x + 72"], ["x", 13, "85"]], "target_var_name": "h", "target_value": 85, "value_dict": {"x": 13}, "is_reverse": true}} | 11,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 11; z = e + 15; e = x + 13; j = w + 15; w = a + 14; s = x + 20; i = l + 17; y = i + 10; l = z + 1; m = j + 10; x = 13; a = s + 12; h = m + 1. If x = 13, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 10 to h, which gives h = j + 11.\n2. Substitute j = w + 15 to h, which gives h = w + 26.\n3. Substitute w = a + 14 to h, which gives h = a + 40.\n4. Substitute a = s + 12 to h, which gives h = s + 52.\n5. Substitute s = x + 20 to h, which gives h = x + 72.\n6. Substitute x = 13 to h, which gives h = 85.\n\nThus, the final answer is h = \\boxed{85}.",
"index": 11644,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 11; z = e + 15; e = x + 13; j = w + 15; w = a + 14; s = x + 20; i = l + 17; y = i + 10; l = z + 1; m = j + 10; x = 13; a = s + 12; h = m + 1. If x = 13, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 17", "v": "x + 13", "a": "v + 6", "y": "a + 11", "u": "y + 15", "k": "u + 13", "n": "l + 17", "m": "n + 18", "d": "m + 20", "p": "d + 18", "i": "p + 18", "z": "i + 13", "l": 13}, "premises": {"l": 13}, "target": "k"}, "answer": {"steps": [["u", "y + 15", "y + 28"], ["y", "a + 11", "a + 39"], ["a", "v + 6", "v + 45"], ["v", "x + 13", "x + 58"], ["x", "l + 17", "l + 75"], ["l", 13, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"l": 13}, "is_reverse": true}} | 11,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 20; k = u + 13; u = y + 15; l = 13; a = v + 6; y = a + 11; v = x + 13; z = i + 13; x = l + 17; m = n + 18; p = d + 18; i = p + 18; n = l + 17. Given that l = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 15 to k, which gives k = y + 28.\n2. Substitute y = a + 11 to k, which gives k = a + 39.\n3. Substitute a = v + 6 to k, which gives k = v + 45.\n4. Substitute v = x + 13 to k, which gives k = x + 58.\n5. Substitute x = l + 17 to k, which gives k = l + 75.\n6. Substitute l = 13 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 11645,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 20; k = u + 13; u = y + 15; l = 13; a = v + 6; y = a + 11; v = x + 13; z = i + 13; x = l + 17; m = n + 18; p = d + 18; i = p + 18; n = l + 17. Given that l = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 19", "z": "y + 18", "s": "z + 18", "a": "s + 3", "h": "a + 14", "l": "h + 1", "p": "u + 9", "r": "p + 12", "j": "r + 13", "d": "j + 19", "k": "d + 13", "m": "k + 14", "u": 9}, "premises": {"u": 9}, "target": "l"}, "answer": {"steps": [["h", "a + 14", "a + 15"], ["a", "s + 3", "s + 18"], ["s", "z + 18", "z + 36"], ["z", "y + 18", "y + 54"], ["y", "u + 19", "u + 73"], ["u", 9, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"u": 9}, "is_reverse": true}} | 11,646 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 14; s = z + 18; h = a + 14; d = j + 19; j = r + 13; l = h + 1; u = 9; z = y + 18; p = u + 9; k = d + 13; y = u + 19; a = s + 3; r = p + 12. Given that u = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 14 to l, which gives l = a + 15.\n2. Substitute a = s + 3 to l, which gives l = s + 18.\n3. Substitute s = z + 18 to l, which gives l = z + 36.\n4. Substitute z = y + 18 to l, which gives l = y + 54.\n5. Substitute y = u + 19 to l, which gives l = u + 73.\n6. Substitute u = 9 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 11646,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 14; s = z + 18; h = a + 14; d = j + 19; j = r + 13; l = h + 1; u = 9; z = y + 18; p = u + 9; k = d + 13; y = u + 19; a = s + 3; r = p + 12. Given that u = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 9", "x": "u + 20", "m": "x + 16", "l": "m + 10", "o": "l + 3", "s": "o + 12", "n": "w + 15", "a": "n + 11", "t": "a + 16", "q": "t + 12", "i": "q + 11", "z": "i + 16", "w": 1}, "premises": {"w": 1}, "target": "s"}, "answer": {"steps": [["o", "l + 3", "l + 15"], ["l", "m + 10", "m + 25"], ["m", "x + 16", "x + 41"], ["x", "u + 20", "u + 61"], ["u", "w + 9", "w + 70"], ["w", 1, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"w": 1}, "is_reverse": true}} | 11,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 11; z = i + 16; m = x + 16; n = w + 15; i = q + 11; q = t + 12; o = l + 3; l = m + 10; x = u + 20; w = 1; u = w + 9; t = a + 16; s = o + 12. If w = 1, what is the resulting 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. Substitute o = l + 3 to s, which gives s = l + 15.\n2. Substitute l = m + 10 to s, which gives s = m + 25.\n3. Substitute m = x + 16 to s, which gives s = x + 41.\n4. Substitute x = u + 20 to s, which gives s = u + 61.\n5. Substitute u = w + 9 to s, which gives s = w + 70.\n6. Substitute w = 1 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 11647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 11; z = i + 16; m = x + 16; n = w + 15; i = q + 11; q = t + 12; o = l + 3; l = m + 10; x = u + 20; w = 1; u = w + 9; t = a + 16; s = o + 12. If w = 1, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 5", "i": "v + 8", "e": "i + 19", "n": "e + 10", "d": "n + 19", "g": "d + 5", "f": "j + 20", "b": "f + 8", "x": "b + 15", "z": "x + 16", "r": "z + 18", "h": "r + 7", "j": 3}, "premises": {"j": 3}, "target": "g"}, "answer": {"steps": [["d", "n + 19", "n + 24"], ["n", "e + 10", "e + 34"], ["e", "i + 19", "i + 53"], ["i", "v + 8", "v + 61"], ["v", "j + 5", "j + 66"], ["j", 3, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"j": 3}, "is_reverse": true}} | 11,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 19; j = 3; z = x + 16; d = n + 19; n = e + 10; r = z + 18; h = r + 7; b = f + 8; v = j + 5; g = d + 5; x = b + 15; i = v + 8; f = j + 20. If j = 3, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 19 to g, which gives g = n + 24.\n2. Substitute n = e + 10 to g, which gives g = e + 34.\n3. Substitute e = i + 19 to g, which gives g = i + 53.\n4. Substitute i = v + 8 to g, which gives g = v + 61.\n5. Substitute v = j + 5 to g, which gives g = j + 66.\n6. Substitute j = 3 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 11648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 19; j = 3; z = x + 16; d = n + 19; n = e + 10; r = z + 18; h = r + 7; b = f + 8; v = j + 5; g = d + 5; x = b + 15; i = v + 8; f = j + 20. If j = 3, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 10", "y": "a + 1", "o": "y + 3", "m": "o + 12", "l": "m + 15", "r": "l + 3", "v": "f + 20", "w": "v + 8", "c": "w + 5", "p": "c + 4", "d": "p + 14", "x": "d + 10", "f": 5}, "premises": {"f": 5}, "target": "r"}, "answer": {"steps": [["l", "m + 15", "m + 18"], ["m", "o + 12", "o + 30"], ["o", "y + 3", "y + 33"], ["y", "a + 1", "a + 34"], ["a", "f + 10", "f + 44"], ["f", 5, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"f": 5}, "is_reverse": true}} | 11,649 | 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 + 20; d = p + 14; w = v + 8; l = m + 15; c = w + 5; y = a + 1; p = c + 4; o = y + 3; f = 5; m = o + 12; x = d + 10; r = l + 3; a = f + 10. If f = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 15 to r, which gives r = m + 18.\n2. Substitute m = o + 12 to r, which gives r = o + 30.\n3. Substitute o = y + 3 to r, which gives r = y + 33.\n4. Substitute y = a + 1 to r, which gives r = a + 34.\n5. Substitute a = f + 10 to r, which gives r = f + 44.\n6. Substitute f = 5 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 11649,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = f + 20; d = p + 14; w = v + 8; l = m + 15; c = w + 5; y = a + 1; p = c + 4; o = y + 3; f = 5; m = o + 12; x = d + 10; r = l + 3; a = f + 10. If f = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 4", "v": "y + 3", "e": "v + 5", "x": "e + 11", "l": "x + 20", "j": "l + 12", "q": "i + 9", "n": "q + 16", "z": "n + 9", "k": "z + 20", "g": "k + 10", "f": "g + 16", "i": 17}, "premises": {"i": 17}, "target": "j"}, "answer": {"steps": [["l", "x + 20", "x + 32"], ["x", "e + 11", "e + 43"], ["e", "v + 5", "v + 48"], ["v", "y + 3", "y + 51"], ["y", "i + 4", "i + 55"], ["i", 17, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"i": 17}, "is_reverse": true}} | 11,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 5; v = y + 3; f = g + 16; g = k + 10; k = z + 20; y = i + 4; x = e + 11; l = x + 20; z = n + 9; j = l + 12; q = i + 9; n = q + 16; i = 17. If i = 17, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 20 to j, which gives j = x + 32.\n2. Substitute x = e + 11 to j, which gives j = e + 43.\n3. Substitute e = v + 5 to j, which gives j = v + 48.\n4. Substitute v = y + 3 to j, which gives j = y + 51.\n5. Substitute y = i + 4 to j, which gives j = i + 55.\n6. Substitute i = 17 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 11650,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 5; v = y + 3; f = g + 16; g = k + 10; k = z + 20; y = i + 4; x = e + 11; l = x + 20; z = n + 9; j = l + 12; q = i + 9; n = q + 16; i = 17. If i = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 16", "x": "m + 19", "n": "x + 17", "j": "n + 13", "c": "j + 6", "u": "c + 16", "g": "b + 14", "h": "g + 14", "s": "h + 16", "z": "s + 10", "v": "z + 13", "o": "v + 8", "b": 3}, "premises": {"b": 3}, "target": "u"}, "answer": {"steps": [["c", "j + 6", "j + 22"], ["j", "n + 13", "n + 35"], ["n", "x + 17", "x + 52"], ["x", "m + 19", "m + 71"], ["m", "b + 16", "b + 87"], ["b", 3, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"b": 3}, "is_reverse": true}} | 11,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 3; v = z + 13; z = s + 10; j = n + 13; x = m + 19; s = h + 16; g = b + 14; c = j + 6; m = b + 16; n = x + 17; h = g + 14; o = v + 8; u = c + 16. Given that b = 3, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 6 to u, which gives u = j + 22.\n2. Substitute j = n + 13 to u, which gives u = n + 35.\n3. Substitute n = x + 17 to u, which gives u = x + 52.\n4. Substitute x = m + 19 to u, which gives u = m + 71.\n5. Substitute m = b + 16 to u, which gives u = b + 87.\n6. Substitute b = 3 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 11651,
"question": "Suppose a collection of variables is related by the following definitions: b = 3; v = z + 13; z = s + 10; j = n + 13; x = m + 19; s = h + 16; g = b + 14; c = j + 6; m = b + 16; n = x + 17; h = g + 14; o = v + 8; u = c + 16. Given that b = 3, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 18", "l": "u + 7", "q": "l + 16", "x": "q + 20", "r": "x + 18", "c": "r + 12", "t": "e + 15", "v": "t + 11", "b": "v + 18", "k": "b + 12", "w": "k + 5", "p": "w + 8", "e": 7}, "premises": {"e": 7}, "target": "c"}, "answer": {"steps": [["r", "x + 18", "x + 30"], ["x", "q + 20", "q + 50"], ["q", "l + 16", "l + 66"], ["l", "u + 7", "u + 73"], ["u", "e + 18", "e + 91"], ["e", 7, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"e": 7}, "is_reverse": true}} | 11,652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 7; w = k + 5; r = x + 18; b = v + 18; c = r + 12; l = u + 7; v = t + 11; q = l + 16; p = w + 8; x = q + 20; u = e + 18; k = b + 12; t = e + 15. Given that e = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 18 to c, which gives c = x + 30.\n2. Substitute x = q + 20 to c, which gives c = q + 50.\n3. Substitute q = l + 16 to c, which gives c = l + 66.\n4. Substitute l = u + 7 to c, which gives c = u + 73.\n5. Substitute u = e + 18 to c, which gives c = e + 91.\n6. Substitute e = 7 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 11652,
"question": "Suppose a collection of variables is related by the following definitions: e = 7; w = k + 5; r = x + 18; b = v + 18; c = r + 12; l = u + 7; v = t + 11; q = l + 16; p = w + 8; x = q + 20; u = e + 18; k = b + 12; t = e + 15. Given that e = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 16", "s": "d + 14", "v": "s + 17", "a": "v + 15", "b": "a + 17", "x": "b + 7", "w": "l + 9", "j": "w + 8", "f": "j + 3", "k": "f + 4", "y": "k + 4", "i": "y + 15", "l": 18}, "premises": {"l": 18}, "target": "x"}, "answer": {"steps": [["b", "a + 17", "a + 24"], ["a", "v + 15", "v + 39"], ["v", "s + 17", "s + 56"], ["s", "d + 14", "d + 70"], ["d", "l + 16", "l + 86"], ["l", 18, "104"]], "target_var_name": "x", "target_value": 104, "value_dict": {"l": 18}, "is_reverse": true}} | 11,653 | 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 = 18; j = w + 8; b = a + 17; a = v + 15; w = l + 9; d = l + 16; y = k + 4; k = f + 4; i = y + 15; v = s + 17; x = b + 7; s = d + 14; f = j + 3. If l = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 17 to x, which gives x = a + 24.\n2. Substitute a = v + 15 to x, which gives x = v + 39.\n3. Substitute v = s + 17 to x, which gives x = s + 56.\n4. Substitute s = d + 14 to x, which gives x = d + 70.\n5. Substitute d = l + 16 to x, which gives x = l + 86.\n6. Substitute l = 18 to x, which gives x = 104.\n\nThus, the final answer is x = \\boxed{104}.",
"index": 11653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 18; j = w + 8; b = a + 17; a = v + 15; w = l + 9; d = l + 16; y = k + 4; k = f + 4; i = y + 15; v = s + 17; x = b + 7; s = d + 14; f = j + 3. If l = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 10", "v": "m + 19", "p": "v + 11", "x": "p + 3", "e": "x + 9", "c": "e + 11", "u": "w + 15", "h": "u + 14", "y": "h + 11", "l": "y + 17", "k": "l + 11", "d": "k + 8", "w": 6}, "premises": {"w": 6}, "target": "c"}, "answer": {"steps": [["e", "x + 9", "x + 20"], ["x", "p + 3", "p + 23"], ["p", "v + 11", "v + 34"], ["v", "m + 19", "m + 53"], ["m", "w + 10", "w + 63"], ["w", 6, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"w": 6}, "is_reverse": true}} | 11,654 | 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 = u + 14; u = w + 15; v = m + 19; m = w + 10; e = x + 9; l = y + 17; x = p + 3; c = e + 11; k = l + 11; p = v + 11; y = h + 11; d = k + 8; w = 6. If w = 6, what is the resulting 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. Substitute e = x + 9 to c, which gives c = x + 20.\n2. Substitute x = p + 3 to c, which gives c = p + 23.\n3. Substitute p = v + 11 to c, which gives c = v + 34.\n4. Substitute v = m + 19 to c, which gives c = m + 53.\n5. Substitute m = w + 10 to c, which gives c = w + 63.\n6. Substitute w = 6 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 11654,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 14; u = w + 15; v = m + 19; m = w + 10; e = x + 9; l = y + 17; x = p + 3; c = e + 11; k = l + 11; p = v + 11; y = h + 11; d = k + 8; w = 6. If w = 6, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 20", "e": "d + 17", "m": "e + 10", "r": "m + 6", "l": "r + 12", "g": "l + 19", "x": "n + 17", "w": "x + 15", "t": "w + 9", "i": "t + 18", "a": "i + 4", "c": "a + 17", "n": 12}, "premises": {"n": 12}, "target": "g"}, "answer": {"steps": [["l", "r + 12", "r + 31"], ["r", "m + 6", "m + 37"], ["m", "e + 10", "e + 47"], ["e", "d + 17", "d + 64"], ["d", "n + 20", "n + 84"], ["n", 12, "96"]], "target_var_name": "g", "target_value": 96, "value_dict": {"n": 12}, "is_reverse": true}} | 11,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 17; g = l + 19; d = n + 20; n = 12; e = d + 17; t = w + 9; m = e + 10; l = r + 12; r = m + 6; a = i + 4; w = x + 15; i = t + 18; c = a + 17. Given that n = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 12 to g, which gives g = r + 31.\n2. Substitute r = m + 6 to g, which gives g = m + 37.\n3. Substitute m = e + 10 to g, which gives g = e + 47.\n4. Substitute e = d + 17 to g, which gives g = d + 64.\n5. Substitute d = n + 20 to g, which gives g = n + 84.\n6. Substitute n = 12 to g, which gives g = 96.\n\nThus, the final answer is g = \\boxed{96}.",
"index": 11655,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 17; g = l + 19; d = n + 20; n = 12; e = d + 17; t = w + 9; m = e + 10; l = r + 12; r = m + 6; a = i + 4; w = x + 15; i = t + 18; c = a + 17. Given that n = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 13", "y": "n + 7", "x": "y + 3", "q": "x + 7", "j": "q + 20", "p": "j + 19", "t": "d + 3", "s": "t + 20", "m": "s + 1", "o": "m + 8", "g": "o + 20", "i": "g + 13", "d": 7}, "premises": {"d": 7}, "target": "p"}, "answer": {"steps": [["j", "q + 20", "q + 39"], ["q", "x + 7", "x + 46"], ["x", "y + 3", "y + 49"], ["y", "n + 7", "n + 56"], ["n", "d + 13", "d + 69"], ["d", 7, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"d": 7}, "is_reverse": true}} | 11,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 20; j = q + 20; t = d + 3; o = m + 8; n = d + 13; d = 7; q = x + 7; g = o + 20; p = j + 19; i = g + 13; y = n + 7; x = y + 3; m = s + 1. Given that d = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 20 to p, which gives p = q + 39.\n2. Substitute q = x + 7 to p, which gives p = x + 46.\n3. Substitute x = y + 3 to p, which gives p = y + 49.\n4. Substitute y = n + 7 to p, which gives p = n + 56.\n5. Substitute n = d + 13 to p, which gives p = d + 69.\n6. Substitute d = 7 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 11656,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 20; j = q + 20; t = d + 3; o = m + 8; n = d + 13; d = 7; q = x + 7; g = o + 20; p = j + 19; i = g + 13; y = n + 7; x = y + 3; m = s + 1. Given that d = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 17", "u": "p + 13", "d": "u + 6", "f": "d + 6", "g": "f + 11", "t": "g + 5", "q": "k + 5", "z": "q + 8", "o": "z + 13", "l": "o + 9", "x": "l + 3", "r": "x + 4", "k": 11}, "premises": {"k": 11}, "target": "t"}, "answer": {"steps": [["g", "f + 11", "f + 16"], ["f", "d + 6", "d + 22"], ["d", "u + 6", "u + 28"], ["u", "p + 13", "p + 41"], ["p", "k + 17", "k + 58"], ["k", 11, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"k": 11}, "is_reverse": true}} | 11,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 13; d = u + 6; o = z + 13; k = 11; g = f + 11; t = g + 5; l = o + 9; q = k + 5; x = l + 3; p = k + 17; f = d + 6; z = q + 8; r = x + 4. If k = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 11 to t, which gives t = f + 16.\n2. Substitute f = d + 6 to t, which gives t = d + 22.\n3. Substitute d = u + 6 to t, which gives t = u + 28.\n4. Substitute u = p + 13 to t, which gives t = p + 41.\n5. Substitute p = k + 17 to t, which gives t = k + 58.\n6. Substitute k = 11 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 11657,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 13; d = u + 6; o = z + 13; k = 11; g = f + 11; t = g + 5; l = o + 9; q = k + 5; x = l + 3; p = k + 17; f = d + 6; z = q + 8; r = x + 4. If k = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 14", "i": "o + 9", "j": "i + 18", "t": "j + 16", "k": "t + 7", "g": "k + 12", "w": "b + 6", "h": "w + 20", "n": "h + 8", "e": "n + 17", "u": "e + 16", "v": "u + 19", "b": 10}, "premises": {"b": 10}, "target": "g"}, "answer": {"steps": [["k", "t + 7", "t + 19"], ["t", "j + 16", "j + 35"], ["j", "i + 18", "i + 53"], ["i", "o + 9", "o + 62"], ["o", "b + 14", "b + 76"], ["b", 10, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"b": 10}, "is_reverse": true}} | 11,658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 16; n = h + 8; h = w + 20; j = i + 18; u = e + 16; k = t + 7; v = u + 19; g = k + 12; b = 10; i = o + 9; e = n + 17; w = b + 6; o = b + 14. Given that b = 10, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 7 to g, which gives g = t + 19.\n2. Substitute t = j + 16 to g, which gives g = j + 35.\n3. Substitute j = i + 18 to g, which gives g = i + 53.\n4. Substitute i = o + 9 to g, which gives g = o + 62.\n5. Substitute o = b + 14 to g, which gives g = b + 76.\n6. Substitute b = 10 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 11658,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 16; n = h + 8; h = w + 20; j = i + 18; u = e + 16; k = t + 7; v = u + 19; g = k + 12; b = 10; i = o + 9; e = n + 17; w = b + 6; o = b + 14. Given that b = 10, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 1", "n": "x + 3", "r": "n + 6", "f": "r + 2", "o": "f + 19", "j": "o + 17", "q": "k + 18", "z": "q + 2", "v": "z + 13", "l": "v + 12", "d": "l + 12", "c": "d + 5", "k": 19}, "premises": {"k": 19}, "target": "j"}, "answer": {"steps": [["o", "f + 19", "f + 36"], ["f", "r + 2", "r + 38"], ["r", "n + 6", "n + 44"], ["n", "x + 3", "x + 47"], ["x", "k + 1", "k + 48"], ["k", 19, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"k": 19}, "is_reverse": true}} | 11,659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 18; r = n + 6; d = l + 12; x = k + 1; o = f + 19; k = 19; n = x + 3; j = o + 17; c = d + 5; z = q + 2; f = r + 2; v = z + 13; l = v + 12. If k = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 19 to j, which gives j = f + 36.\n2. Substitute f = r + 2 to j, which gives j = r + 38.\n3. Substitute r = n + 6 to j, which gives j = n + 44.\n4. Substitute n = x + 3 to j, which gives j = x + 47.\n5. Substitute x = k + 1 to j, which gives j = k + 48.\n6. Substitute k = 19 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 11659,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 18; r = n + 6; d = l + 12; x = k + 1; o = f + 19; k = 19; n = x + 3; j = o + 17; c = d + 5; z = q + 2; f = r + 2; v = z + 13; l = v + 12. If k = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 16", "s": "w + 5", "k": "s + 2", "n": "k + 17", "x": "n + 6", "e": "x + 10", "f": "d + 11", "g": "f + 14", "o": "g + 2", "z": "o + 1", "a": "z + 4", "y": "a + 13", "d": 2}, "premises": {"d": 2}, "target": "e"}, "answer": {"steps": [["x", "n + 6", "n + 16"], ["n", "k + 17", "k + 33"], ["k", "s + 2", "s + 35"], ["s", "w + 5", "w + 40"], ["w", "d + 16", "d + 56"], ["d", 2, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"d": 2}, "is_reverse": true}} | 11,660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 11; e = x + 10; a = z + 4; y = a + 13; o = g + 2; w = d + 16; z = o + 1; d = 2; k = s + 2; s = w + 5; x = n + 6; g = f + 14; n = k + 17. If d = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 6 to e, which gives e = n + 16.\n2. Substitute n = k + 17 to e, which gives e = k + 33.\n3. Substitute k = s + 2 to e, which gives e = s + 35.\n4. Substitute s = w + 5 to e, which gives e = w + 40.\n5. Substitute w = d + 16 to e, which gives e = d + 56.\n6. Substitute d = 2 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 11660,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 11; e = x + 10; a = z + 4; y = a + 13; o = g + 2; w = d + 16; z = o + 1; d = 2; k = s + 2; s = w + 5; x = n + 6; g = f + 14; n = k + 17. If d = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 13", "p": "c + 13", "i": "p + 19", "l": "i + 6", "z": "l + 1", "e": "z + 15", "h": "y + 8", "b": "h + 12", "u": "b + 4", "m": "u + 3", "k": "m + 6", "s": "k + 18", "y": 12}, "premises": {"y": 12}, "target": "e"}, "answer": {"steps": [["z", "l + 1", "l + 16"], ["l", "i + 6", "i + 22"], ["i", "p + 19", "p + 41"], ["p", "c + 13", "c + 54"], ["c", "y + 13", "y + 67"], ["y", 12, "79"]], "target_var_name": "e", "target_value": 79, "value_dict": {"y": 12}, "is_reverse": true}} | 11,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 18; k = m + 6; y = 12; m = u + 3; l = i + 6; c = y + 13; u = b + 4; e = z + 15; b = h + 12; i = p + 19; z = l + 1; h = y + 8; p = c + 13. If y = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 1 to e, which gives e = l + 16.\n2. Substitute l = i + 6 to e, which gives e = i + 22.\n3. Substitute i = p + 19 to e, which gives e = p + 41.\n4. Substitute p = c + 13 to e, which gives e = c + 54.\n5. Substitute c = y + 13 to e, which gives e = y + 67.\n6. Substitute y = 12 to e, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 11661,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 18; k = m + 6; y = 12; m = u + 3; l = i + 6; c = y + 13; u = b + 4; e = z + 15; b = h + 12; i = p + 19; z = l + 1; h = y + 8; p = c + 13. If y = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 19", "r": "y + 12", "b": "r + 3", "l": "b + 3", "f": "l + 9", "e": "f + 18", "q": "c + 10", "w": "q + 18", "j": "w + 16", "m": "j + 2", "z": "m + 15", "g": "z + 9", "c": 7}, "premises": {"c": 7}, "target": "e"}, "answer": {"steps": [["f", "l + 9", "l + 27"], ["l", "b + 3", "b + 30"], ["b", "r + 3", "r + 33"], ["r", "y + 12", "y + 45"], ["y", "c + 19", "c + 64"], ["c", 7, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"c": 7}, "is_reverse": true}} | 11,662 | 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 = r + 3; r = y + 12; w = q + 18; l = b + 3; c = 7; j = w + 16; y = c + 19; f = l + 9; q = c + 10; e = f + 18; m = j + 2; g = z + 9; z = m + 15. If c = 7, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 9 to e, which gives e = l + 27.\n2. Substitute l = b + 3 to e, which gives e = b + 30.\n3. Substitute b = r + 3 to e, which gives e = r + 33.\n4. Substitute r = y + 12 to e, which gives e = y + 45.\n5. Substitute y = c + 19 to e, which gives e = c + 64.\n6. Substitute c = 7 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 11662,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 3; r = y + 12; w = q + 18; l = b + 3; c = 7; j = w + 16; y = c + 19; f = l + 9; q = c + 10; e = f + 18; m = j + 2; g = z + 9; z = m + 15. If c = 7, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 8", "i": "n + 14", "r": "i + 11", "c": "r + 13", "k": "c + 16", "m": "k + 2", "j": "o + 19", "f": "j + 9", "e": "f + 3", "z": "e + 11", "t": "z + 2", "h": "t + 8", "o": 14}, "premises": {"o": 14}, "target": "m"}, "answer": {"steps": [["k", "c + 16", "c + 18"], ["c", "r + 13", "r + 31"], ["r", "i + 11", "i + 42"], ["i", "n + 14", "n + 56"], ["n", "o + 8", "o + 64"], ["o", 14, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"o": 14}, "is_reverse": true}} | 11,663 | 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 = j + 9; c = r + 13; m = k + 2; e = f + 3; i = n + 14; k = c + 16; j = o + 19; t = z + 2; z = e + 11; n = o + 8; o = 14; h = t + 8; r = i + 11. If o = 14, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 16 to m, which gives m = c + 18.\n2. Substitute c = r + 13 to m, which gives m = r + 31.\n3. Substitute r = i + 11 to m, which gives m = i + 42.\n4. Substitute i = n + 14 to m, which gives m = n + 56.\n5. Substitute n = o + 8 to m, which gives m = o + 64.\n6. Substitute o = 14 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 11663,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = j + 9; c = r + 13; m = k + 2; e = f + 3; i = n + 14; k = c + 16; j = o + 19; t = z + 2; z = e + 11; n = o + 8; o = 14; h = t + 8; r = i + 11. If o = 14, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 17", "i": "o + 5", "m": "i + 3", "n": "m + 17", "l": "n + 13", "k": "l + 3", "a": "j + 4", "r": "a + 7", "z": "r + 16", "s": "z + 20", "v": "s + 4", "d": "v + 8", "j": 10}, "premises": {"j": 10}, "target": "k"}, "answer": {"steps": [["l", "n + 13", "n + 16"], ["n", "m + 17", "m + 33"], ["m", "i + 3", "i + 36"], ["i", "o + 5", "o + 41"], ["o", "j + 17", "j + 58"], ["j", 10, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"j": 10}, "is_reverse": true}} | 11,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 3; r = a + 7; l = n + 13; m = i + 3; v = s + 4; z = r + 16; d = v + 8; n = m + 17; i = o + 5; j = 10; a = j + 4; o = j + 17; s = z + 20. If j = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 13 to k, which gives k = n + 16.\n2. Substitute n = m + 17 to k, which gives k = m + 33.\n3. Substitute m = i + 3 to k, which gives k = i + 36.\n4. Substitute i = o + 5 to k, which gives k = o + 41.\n5. Substitute o = j + 17 to k, which gives k = j + 58.\n6. Substitute j = 10 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 11664,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 3; r = a + 7; l = n + 13; m = i + 3; v = s + 4; z = r + 16; d = v + 8; n = m + 17; i = o + 5; j = 10; a = j + 4; o = j + 17; s = z + 20. If j = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 17", "i": "a + 12", "z": "i + 7", "e": "z + 2", "q": "e + 4", "y": "q + 2", "m": "v + 1", "n": "m + 9", "g": "n + 18", "p": "g + 20", "j": "p + 9", "s": "j + 2", "v": 1}, "premises": {"v": 1}, "target": "y"}, "answer": {"steps": [["q", "e + 4", "e + 6"], ["e", "z + 2", "z + 8"], ["z", "i + 7", "i + 15"], ["i", "a + 12", "a + 27"], ["a", "v + 17", "v + 44"], ["v", 1, "45"]], "target_var_name": "y", "target_value": 45, "value_dict": {"v": 1}, "is_reverse": true}} | 11,665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 1; y = q + 2; z = i + 7; g = n + 18; q = e + 4; e = z + 2; n = m + 9; s = j + 2; j = p + 9; a = v + 17; m = v + 1; i = a + 12; p = g + 20. If v = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 4 to y, which gives y = e + 6.\n2. Substitute e = z + 2 to y, which gives y = z + 8.\n3. Substitute z = i + 7 to y, which gives y = i + 15.\n4. Substitute i = a + 12 to y, which gives y = a + 27.\n5. Substitute a = v + 17 to y, which gives y = v + 44.\n6. Substitute v = 1 to y, which gives y = 45.\n\nThus, the final answer is y = \\boxed{45}.",
"index": 11665,
"question": "Consider a system of variables where each variable is defined as follows: v = 1; y = q + 2; z = i + 7; g = n + 18; q = e + 4; e = z + 2; n = m + 9; s = j + 2; j = p + 9; a = v + 17; m = v + 1; i = a + 12; p = g + 20. If v = 1, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 6", "w": "c + 17", "s": "w + 11", "h": "s + 1", "o": "h + 12", "r": "o + 4", "d": "g + 13", "i": "d + 5", "a": "i + 9", "x": "a + 17", "l": "x + 18", "b": "l + 14", "g": 17}, "premises": {"g": 17}, "target": "r"}, "answer": {"steps": [["o", "h + 12", "h + 16"], ["h", "s + 1", "s + 17"], ["s", "w + 11", "w + 28"], ["w", "c + 17", "c + 45"], ["c", "g + 6", "g + 51"], ["g", 17, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"g": 17}, "is_reverse": true}} | 11,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 17; h = s + 1; r = o + 4; o = h + 12; g = 17; a = i + 9; l = x + 18; c = g + 6; x = a + 17; i = d + 5; s = w + 11; d = g + 13; b = l + 14. If g = 17, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 12 to r, which gives r = h + 16.\n2. Substitute h = s + 1 to r, which gives r = s + 17.\n3. Substitute s = w + 11 to r, which gives r = w + 28.\n4. Substitute w = c + 17 to r, which gives r = c + 45.\n5. Substitute c = g + 6 to r, which gives r = g + 51.\n6. Substitute g = 17 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 11666,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 17; h = s + 1; r = o + 4; o = h + 12; g = 17; a = i + 9; l = x + 18; c = g + 6; x = a + 17; i = d + 5; s = w + 11; d = g + 13; b = l + 14. If g = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 17", "g": "f + 12", "k": "g + 10", "l": "k + 7", "m": "l + 14", "w": "m + 15", "x": "p + 16", "s": "x + 3", "y": "s + 9", "d": "y + 2", "j": "d + 17", "n": "j + 18", "p": 4}, "premises": {"p": 4}, "target": "w"}, "answer": {"steps": [["m", "l + 14", "l + 29"], ["l", "k + 7", "k + 36"], ["k", "g + 10", "g + 46"], ["g", "f + 12", "f + 58"], ["f", "p + 17", "p + 75"], ["p", 4, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"p": 4}, "is_reverse": true}} | 11,667 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 14; w = m + 15; d = y + 2; s = x + 3; n = j + 18; j = d + 17; f = p + 17; x = p + 16; y = s + 9; g = f + 12; p = 4; k = g + 10; l = k + 7. Given that p = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 14 to w, which gives w = l + 29.\n2. Substitute l = k + 7 to w, which gives w = k + 36.\n3. Substitute k = g + 10 to w, which gives w = g + 46.\n4. Substitute g = f + 12 to w, which gives w = f + 58.\n5. Substitute f = p + 17 to w, which gives w = p + 75.\n6. Substitute p = 4 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 11667,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 14; w = m + 15; d = y + 2; s = x + 3; n = j + 18; j = d + 17; f = p + 17; x = p + 16; y = s + 9; g = f + 12; p = 4; k = g + 10; l = k + 7. Given that p = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 12", "y": "o + 15", "w": "y + 16", "v": "w + 13", "a": "v + 2", "e": "a + 3", "z": "x + 8", "r": "z + 17", "k": "r + 11", "q": "k + 6", "i": "q + 16", "j": "i + 8", "x": 9}, "premises": {"x": 9}, "target": "e"}, "answer": {"steps": [["a", "v + 2", "v + 5"], ["v", "w + 13", "w + 18"], ["w", "y + 16", "y + 34"], ["y", "o + 15", "o + 49"], ["o", "x + 12", "x + 61"], ["x", 9, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"x": 9}, "is_reverse": true}} | 11,668 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 11; z = x + 8; v = w + 13; i = q + 16; q = k + 6; o = x + 12; w = y + 16; e = a + 3; r = z + 17; a = v + 2; j = i + 8; x = 9; y = o + 15. Given that x = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 2 to e, which gives e = v + 5.\n2. Substitute v = w + 13 to e, which gives e = w + 18.\n3. Substitute w = y + 16 to e, which gives e = y + 34.\n4. Substitute y = o + 15 to e, which gives e = o + 49.\n5. Substitute o = x + 12 to e, which gives e = x + 61.\n6. Substitute x = 9 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 11668,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 11; z = x + 8; v = w + 13; i = q + 16; q = k + 6; o = x + 12; w = y + 16; e = a + 3; r = z + 17; a = v + 2; j = i + 8; x = 9; y = o + 15. Given that x = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 13", "d": "l + 15", "p": "d + 9", "x": "p + 7", "v": "x + 1", "r": "v + 11", "k": "t + 2", "i": "k + 12", "a": "i + 1", "j": "a + 10", "m": "j + 18", "b": "m + 9", "t": 15}, "premises": {"t": 15}, "target": "r"}, "answer": {"steps": [["v", "x + 1", "x + 12"], ["x", "p + 7", "p + 19"], ["p", "d + 9", "d + 28"], ["d", "l + 15", "l + 43"], ["l", "t + 13", "t + 56"], ["t", 15, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"t": 15}, "is_reverse": true}} | 11,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 2; i = k + 12; d = l + 15; b = m + 9; a = i + 1; v = x + 1; t = 15; x = p + 7; l = t + 13; r = v + 11; j = a + 10; p = d + 9; m = j + 18. Given that t = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 1 to r, which gives r = x + 12.\n2. Substitute x = p + 7 to r, which gives r = p + 19.\n3. Substitute p = d + 9 to r, which gives r = d + 28.\n4. Substitute d = l + 15 to r, which gives r = l + 43.\n5. Substitute l = t + 13 to r, which gives r = t + 56.\n6. Substitute t = 15 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 11669,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 2; i = k + 12; d = l + 15; b = m + 9; a = i + 1; v = x + 1; t = 15; x = p + 7; l = t + 13; r = v + 11; j = a + 10; p = d + 9; m = j + 18. Given that t = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 7", "z": "d + 16", "h": "z + 8", "u": "h + 10", "c": "u + 17", "f": "c + 15", "t": "s + 11", "i": "t + 17", "x": "i + 17", "l": "x + 19", "y": "l + 11", "w": "y + 1", "s": 3}, "premises": {"s": 3}, "target": "f"}, "answer": {"steps": [["c", "u + 17", "u + 32"], ["u", "h + 10", "h + 42"], ["h", "z + 8", "z + 50"], ["z", "d + 16", "d + 66"], ["d", "s + 7", "s + 73"], ["s", 3, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"s": 3}, "is_reverse": true}} | 11,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 11; d = s + 7; w = y + 1; c = u + 17; i = t + 17; u = h + 10; s = 3; l = x + 19; f = c + 15; t = s + 11; h = z + 8; z = d + 16; x = i + 17. If s = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 17 to f, which gives f = u + 32.\n2. Substitute u = h + 10 to f, which gives f = h + 42.\n3. Substitute h = z + 8 to f, which gives f = z + 50.\n4. Substitute z = d + 16 to f, which gives f = d + 66.\n5. Substitute d = s + 7 to f, which gives f = s + 73.\n6. Substitute s = 3 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 11670,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 11; d = s + 7; w = y + 1; c = u + 17; i = t + 17; u = h + 10; s = 3; l = x + 19; f = c + 15; t = s + 11; h = z + 8; z = d + 16; x = i + 17. If s = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 13", "j": "t + 2", "r": "j + 14", "v": "r + 7", "q": "v + 3", "c": "q + 16", "k": "f + 6", "z": "k + 8", "d": "z + 15", "o": "d + 19", "n": "o + 8", "x": "n + 12", "f": 7}, "premises": {"f": 7}, "target": "c"}, "answer": {"steps": [["q", "v + 3", "v + 19"], ["v", "r + 7", "r + 26"], ["r", "j + 14", "j + 40"], ["j", "t + 2", "t + 42"], ["t", "f + 13", "f + 55"], ["f", 7, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"f": 7}, "is_reverse": true}} | 11,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 13; q = v + 3; r = j + 14; d = z + 15; k = f + 6; z = k + 8; j = t + 2; n = o + 8; f = 7; c = q + 16; x = n + 12; v = r + 7; o = d + 19. If f = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 3 to c, which gives c = v + 19.\n2. Substitute v = r + 7 to c, which gives c = r + 26.\n3. Substitute r = j + 14 to c, which gives c = j + 40.\n4. Substitute j = t + 2 to c, which gives c = t + 42.\n5. Substitute t = f + 13 to c, which gives c = f + 55.\n6. Substitute f = 7 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 11671,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 13; q = v + 3; r = j + 14; d = z + 15; k = f + 6; z = k + 8; j = t + 2; n = o + 8; f = 7; c = q + 16; x = n + 12; v = r + 7; o = d + 19. If f = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 1", "s": "e + 7", "l": "s + 17", "a": "l + 2", "x": "a + 15", "t": "x + 13", "j": "p + 3", "r": "j + 1", "o": "r + 10", "m": "o + 11", "i": "m + 13", "k": "i + 4", "p": 9}, "premises": {"p": 9}, "target": "t"}, "answer": {"steps": [["x", "a + 15", "a + 28"], ["a", "l + 2", "l + 30"], ["l", "s + 17", "s + 47"], ["s", "e + 7", "e + 54"], ["e", "p + 1", "p + 55"], ["p", 9, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"p": 9}, "is_reverse": true}} | 11,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 13; j = p + 3; x = a + 15; l = s + 17; p = 9; i = m + 13; r = j + 1; a = l + 2; o = r + 10; s = e + 7; e = p + 1; k = i + 4; m = o + 11. If p = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 15 to t, which gives t = a + 28.\n2. Substitute a = l + 2 to t, which gives t = l + 30.\n3. Substitute l = s + 17 to t, which gives t = s + 47.\n4. Substitute s = e + 7 to t, which gives t = e + 54.\n5. Substitute e = p + 1 to t, which gives t = p + 55.\n6. Substitute p = 9 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 11672,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 13; j = p + 3; x = a + 15; l = s + 17; p = 9; i = m + 13; r = j + 1; a = l + 2; o = r + 10; s = e + 7; e = p + 1; k = i + 4; m = o + 11. If p = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 2", "z": "j + 8", "r": "z + 15", "v": "r + 7", "h": "v + 15", "l": "h + 1", "n": "o + 20", "u": "n + 16", "q": "u + 5", "t": "q + 3", "f": "t + 8", "y": "f + 9", "o": 18}, "premises": {"o": 18}, "target": "l"}, "answer": {"steps": [["h", "v + 15", "v + 16"], ["v", "r + 7", "r + 23"], ["r", "z + 15", "z + 38"], ["z", "j + 8", "j + 46"], ["j", "o + 2", "o + 48"], ["o", 18, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"o": 18}, "is_reverse": true}} | 11,673 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 1; t = q + 3; q = u + 5; o = 18; v = r + 7; r = z + 15; f = t + 8; j = o + 2; z = j + 8; y = f + 9; n = o + 20; u = n + 16; h = v + 15. Given that o = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 15 to l, which gives l = v + 16.\n2. Substitute v = r + 7 to l, which gives l = r + 23.\n3. Substitute r = z + 15 to l, which gives l = z + 38.\n4. Substitute z = j + 8 to l, which gives l = j + 46.\n5. Substitute j = o + 2 to l, which gives l = o + 48.\n6. Substitute o = 18 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 11673,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 1; t = q + 3; q = u + 5; o = 18; v = r + 7; r = z + 15; f = t + 8; j = o + 2; z = j + 8; y = f + 9; n = o + 20; u = n + 16; h = v + 15. Given that o = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 4", "l": "n + 5", "u": "l + 6", "d": "u + 10", "b": "d + 4", "o": "b + 4", "a": "y + 11", "q": "a + 8", "e": "q + 13", "z": "e + 7", "i": "z + 15", "m": "i + 2", "y": 16}, "premises": {"y": 16}, "target": "o"}, "answer": {"steps": [["b", "d + 4", "d + 8"], ["d", "u + 10", "u + 18"], ["u", "l + 6", "l + 24"], ["l", "n + 5", "n + 29"], ["n", "y + 4", "y + 33"], ["y", 16, "49"]], "target_var_name": "o", "target_value": 49, "value_dict": {"y": 16}, "is_reverse": true}} | 11,674 | 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 + 4; z = e + 7; l = n + 5; y = 16; i = z + 15; m = i + 2; a = y + 11; d = u + 10; n = y + 4; u = l + 6; b = d + 4; e = q + 13; q = a + 8. If y = 16, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 4 to o, which gives o = d + 8.\n2. Substitute d = u + 10 to o, which gives o = u + 18.\n3. Substitute u = l + 6 to o, which gives o = l + 24.\n4. Substitute l = n + 5 to o, which gives o = n + 29.\n5. Substitute n = y + 4 to o, which gives o = y + 33.\n6. Substitute y = 16 to o, which gives o = 49.\n\nThus, the final answer is o = \\boxed{49}.",
"index": 11674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 4; z = e + 7; l = n + 5; y = 16; i = z + 15; m = i + 2; a = y + 11; d = u + 10; n = y + 4; u = l + 6; b = d + 4; e = q + 13; q = a + 8. If y = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 1", "u": "v + 20", "n": "u + 17", "m": "n + 19", "o": "m + 10", "b": "o + 1", "r": "j + 19", "h": "r + 3", "f": "h + 13", "g": "f + 8", "p": "g + 18", "l": "p + 6", "j": 16}, "premises": {"j": 16}, "target": "b"}, "answer": {"steps": [["o", "m + 10", "m + 11"], ["m", "n + 19", "n + 30"], ["n", "u + 17", "u + 47"], ["u", "v + 20", "v + 67"], ["v", "j + 1", "j + 68"], ["j", 16, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"j": 16}, "is_reverse": true}} | 11,675 | 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 = j + 19; b = o + 1; p = g + 18; n = u + 17; l = p + 6; f = h + 13; v = j + 1; o = m + 10; m = n + 19; g = f + 8; h = r + 3; u = v + 20; j = 16. If j = 16, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 10 to b, which gives b = m + 11.\n2. Substitute m = n + 19 to b, which gives b = n + 30.\n3. Substitute n = u + 17 to b, which gives b = u + 47.\n4. Substitute u = v + 20 to b, which gives b = v + 67.\n5. Substitute v = j + 1 to b, which gives b = j + 68.\n6. Substitute j = 16 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 11675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 19; b = o + 1; p = g + 18; n = u + 17; l = p + 6; f = h + 13; v = j + 1; o = m + 10; m = n + 19; g = f + 8; h = r + 3; u = v + 20; j = 16. If j = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 7", "o": "d + 12", "b": "o + 6", "w": "b + 7", "q": "w + 17", "c": "q + 8", "p": "r + 12", "f": "p + 18", "k": "f + 8", "l": "k + 7", "m": "l + 5", "y": "m + 17", "r": 5}, "premises": {"r": 5}, "target": "c"}, "answer": {"steps": [["q", "w + 17", "w + 25"], ["w", "b + 7", "b + 32"], ["b", "o + 6", "o + 38"], ["o", "d + 12", "d + 50"], ["d", "r + 7", "r + 57"], ["r", 5, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"r": 5}, "is_reverse": true}} | 11,676 | 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 = 5; l = k + 7; w = b + 7; y = m + 17; c = q + 8; p = r + 12; q = w + 17; o = d + 12; k = f + 8; m = l + 5; f = p + 18; b = o + 6; d = r + 7. If r = 5, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 17 to c, which gives c = w + 25.\n2. Substitute w = b + 7 to c, which gives c = b + 32.\n3. Substitute b = o + 6 to c, which gives c = o + 38.\n4. Substitute o = d + 12 to c, which gives c = d + 50.\n5. Substitute d = r + 7 to c, which gives c = r + 57.\n6. Substitute r = 5 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 11676,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 5; l = k + 7; w = b + 7; y = m + 17; c = q + 8; p = r + 12; q = w + 17; o = d + 12; k = f + 8; m = l + 5; f = p + 18; b = o + 6; d = r + 7. If r = 5, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 8", "t": "r + 19", "b": "t + 18", "e": "b + 20", "c": "e + 10", "x": "c + 2", "z": "y + 8", "h": "z + 9", "q": "h + 6", "i": "q + 1", "l": "i + 8", "n": "l + 8", "y": 8}, "premises": {"y": 8}, "target": "x"}, "answer": {"steps": [["c", "e + 10", "e + 12"], ["e", "b + 20", "b + 32"], ["b", "t + 18", "t + 50"], ["t", "r + 19", "r + 69"], ["r", "y + 8", "y + 77"], ["y", 8, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"y": 8}, "is_reverse": true}} | 11,677 | 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 + 8; e = b + 20; b = t + 18; z = y + 8; r = y + 8; x = c + 2; c = e + 10; l = i + 8; i = q + 1; y = 8; t = r + 19; q = h + 6; h = z + 9. If y = 8, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 10 to x, which gives x = e + 12.\n2. Substitute e = b + 20 to x, which gives x = b + 32.\n3. Substitute b = t + 18 to x, which gives x = t + 50.\n4. Substitute t = r + 19 to x, which gives x = r + 69.\n5. Substitute r = y + 8 to x, which gives x = y + 77.\n6. Substitute y = 8 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 11677,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 8; e = b + 20; b = t + 18; z = y + 8; r = y + 8; x = c + 2; c = e + 10; l = i + 8; i = q + 1; y = 8; t = r + 19; q = h + 6; h = z + 9. If y = 8, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 16", "w": "i + 20", "p": "w + 5", "c": "p + 11", "z": "c + 9", "o": "z + 9", "q": "x + 9", "h": "q + 10", "g": "h + 4", "t": "g + 17", "u": "t + 9", "f": "u + 5", "x": 10}, "premises": {"x": 10}, "target": "o"}, "answer": {"steps": [["z", "c + 9", "c + 18"], ["c", "p + 11", "p + 29"], ["p", "w + 5", "w + 34"], ["w", "i + 20", "i + 54"], ["i", "x + 16", "x + 70"], ["x", 10, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"x": 10}, "is_reverse": true}} | 11,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 9; z = c + 9; c = p + 11; i = x + 16; p = w + 5; h = q + 10; o = z + 9; x = 10; t = g + 17; w = i + 20; u = t + 9; f = u + 5; g = h + 4. Given that x = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 9 to o, which gives o = c + 18.\n2. Substitute c = p + 11 to o, which gives o = p + 29.\n3. Substitute p = w + 5 to o, which gives o = w + 34.\n4. Substitute w = i + 20 to o, which gives o = i + 54.\n5. Substitute i = x + 16 to o, which gives o = x + 70.\n6. Substitute x = 10 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 11678,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 9; z = c + 9; c = p + 11; i = x + 16; p = w + 5; h = q + 10; o = z + 9; x = 10; t = g + 17; w = i + 20; u = t + 9; f = u + 5; g = h + 4. Given that x = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 2", "l": "p + 12", "x": "l + 4", "q": "x + 19", "u": "q + 19", "d": "u + 12", "s": "b + 16", "n": "s + 15", "t": "n + 14", "r": "t + 4", "k": "r + 15", "v": "k + 8", "b": 18}, "premises": {"b": 18}, "target": "d"}, "answer": {"steps": [["u", "q + 19", "q + 31"], ["q", "x + 19", "x + 50"], ["x", "l + 4", "l + 54"], ["l", "p + 12", "p + 66"], ["p", "b + 2", "b + 68"], ["b", 18, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"b": 18}, "is_reverse": true}} | 11,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 15; t = n + 14; r = t + 4; u = q + 19; v = k + 8; n = s + 15; d = u + 12; p = b + 2; q = x + 19; b = 18; s = b + 16; x = l + 4; l = p + 12. Given that b = 18, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 19 to d, which gives d = q + 31.\n2. Substitute q = x + 19 to d, which gives d = x + 50.\n3. Substitute x = l + 4 to d, which gives d = l + 54.\n4. Substitute l = p + 12 to d, which gives d = p + 66.\n5. Substitute p = b + 2 to d, which gives d = b + 68.\n6. Substitute b = 18 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 11679,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 15; t = n + 14; r = t + 4; u = q + 19; v = k + 8; n = s + 15; d = u + 12; p = b + 2; q = x + 19; b = 18; s = b + 16; x = l + 4; l = p + 12. Given that b = 18, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 17", "g": "x + 5", "d": "g + 9", "j": "d + 4", "o": "j + 10", "s": "o + 15", "b": "e + 6", "c": "b + 15", "a": "c + 15", "f": "a + 5", "l": "f + 18", "p": "l + 13", "e": 12}, "premises": {"e": 12}, "target": "s"}, "answer": {"steps": [["o", "j + 10", "j + 25"], ["j", "d + 4", "d + 29"], ["d", "g + 9", "g + 38"], ["g", "x + 5", "x + 43"], ["x", "e + 17", "e + 60"], ["e", 12, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"e": 12}, "is_reverse": true}} | 11,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 15; g = x + 5; d = g + 9; c = b + 15; o = j + 10; x = e + 17; e = 12; b = e + 6; f = a + 5; j = d + 4; l = f + 18; a = c + 15; p = l + 13. Given that e = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 10 to s, which gives s = j + 25.\n2. Substitute j = d + 4 to s, which gives s = d + 29.\n3. Substitute d = g + 9 to s, which gives s = g + 38.\n4. Substitute g = x + 5 to s, which gives s = x + 43.\n5. Substitute x = e + 17 to s, which gives s = e + 60.\n6. Substitute e = 12 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 11680,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 15; g = x + 5; d = g + 9; c = b + 15; o = j + 10; x = e + 17; e = 12; b = e + 6; f = a + 5; j = d + 4; l = f + 18; a = c + 15; p = l + 13. Given that e = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 7", "b": "v + 5", "e": "b + 10", "f": "e + 3", "h": "f + 14", "p": "h + 16", "j": "r + 3", "t": "j + 18", "k": "t + 17", "q": "k + 7", "m": "q + 7", "i": "m + 13", "r": 7}, "premises": {"r": 7}, "target": "p"}, "answer": {"steps": [["h", "f + 14", "f + 30"], ["f", "e + 3", "e + 33"], ["e", "b + 10", "b + 43"], ["b", "v + 5", "v + 48"], ["v", "r + 7", "r + 55"], ["r", 7, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"r": 7}, "is_reverse": true}} | 11,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 16; e = b + 10; t = j + 18; r = 7; k = t + 17; h = f + 14; f = e + 3; b = v + 5; m = q + 7; q = k + 7; v = r + 7; i = m + 13; j = r + 3. Given that r = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 14 to p, which gives p = f + 30.\n2. Substitute f = e + 3 to p, which gives p = e + 33.\n3. Substitute e = b + 10 to p, which gives p = b + 43.\n4. Substitute b = v + 5 to p, which gives p = v + 48.\n5. Substitute v = r + 7 to p, which gives p = r + 55.\n6. Substitute r = 7 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 11681,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 16; e = b + 10; t = j + 18; r = 7; k = t + 17; h = f + 14; f = e + 3; b = v + 5; m = q + 7; q = k + 7; v = r + 7; i = m + 13; j = r + 3. Given that r = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 9", "e": "v + 15", "o": "e + 1", "g": "o + 16", "m": "g + 3", "z": "m + 7", "f": "s + 1", "l": "f + 12", "w": "l + 11", "n": "w + 7", "u": "n + 11", "y": "u + 9", "s": 2}, "premises": {"s": 2}, "target": "z"}, "answer": {"steps": [["m", "g + 3", "g + 10"], ["g", "o + 16", "o + 26"], ["o", "e + 1", "e + 27"], ["e", "v + 15", "v + 42"], ["v", "s + 9", "s + 51"], ["s", 2, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"s": 2}, "is_reverse": true}} | 11,682 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 9; v = s + 9; f = s + 1; e = v + 15; o = e + 1; n = w + 7; l = f + 12; g = o + 16; m = g + 3; u = n + 11; w = l + 11; z = m + 7; s = 2. If s = 2, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 3 to z, which gives z = g + 10.\n2. Substitute g = o + 16 to z, which gives z = o + 26.\n3. Substitute o = e + 1 to z, which gives z = e + 27.\n4. Substitute e = v + 15 to z, which gives z = v + 42.\n5. Substitute v = s + 9 to z, which gives z = s + 51.\n6. Substitute s = 2 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 11682,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 9; v = s + 9; f = s + 1; e = v + 15; o = e + 1; n = w + 7; l = f + 12; g = o + 16; m = g + 3; u = n + 11; w = l + 11; z = m + 7; s = 2. If s = 2, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 19", "g": "b + 1", "v": "g + 20", "f": "v + 9", "w": "f + 18", "z": "w + 19", "t": "u + 11", "j": "t + 15", "k": "j + 9", "i": "k + 7", "a": "i + 5", "q": "a + 4", "u": 18}, "premises": {"u": 18}, "target": "z"}, "answer": {"steps": [["w", "f + 18", "f + 37"], ["f", "v + 9", "v + 46"], ["v", "g + 20", "g + 66"], ["g", "b + 1", "b + 67"], ["b", "u + 19", "u + 86"], ["u", 18, "104"]], "target_var_name": "z", "target_value": 104, "value_dict": {"u": 18}, "is_reverse": true}} | 11,683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 9; v = g + 20; b = u + 19; a = i + 5; k = j + 9; g = b + 1; z = w + 19; w = f + 18; q = a + 4; u = 18; i = k + 7; j = t + 15; t = u + 11. If u = 18, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 18 to z, which gives z = f + 37.\n2. Substitute f = v + 9 to z, which gives z = v + 46.\n3. Substitute v = g + 20 to z, which gives z = g + 66.\n4. Substitute g = b + 1 to z, which gives z = b + 67.\n5. Substitute b = u + 19 to z, which gives z = u + 86.\n6. Substitute u = 18 to z, which gives z = 104.\n\nThus, the final answer is z = \\boxed{104}.",
"index": 11683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 9; v = g + 20; b = u + 19; a = i + 5; k = j + 9; g = b + 1; z = w + 19; w = f + 18; q = a + 4; u = 18; i = k + 7; j = t + 15; t = u + 11. If u = 18, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 19", "c": "p + 14", "w": "c + 10", "v": "w + 7", "f": "v + 1", "m": "f + 13", "d": "s + 11", "b": "d + 3", "n": "b + 17", "y": "n + 18", "q": "y + 9", "o": "q + 14", "s": 6}, "premises": {"s": 6}, "target": "m"}, "answer": {"steps": [["f", "v + 1", "v + 14"], ["v", "w + 7", "w + 21"], ["w", "c + 10", "c + 31"], ["c", "p + 14", "p + 45"], ["p", "s + 19", "s + 64"], ["s", 6, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"s": 6}, "is_reverse": true}} | 11,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 9; m = f + 13; s = 6; o = q + 14; p = s + 19; v = w + 7; y = n + 18; n = b + 17; b = d + 3; f = v + 1; w = c + 10; c = p + 14; d = s + 11. If s = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 1 to m, which gives m = v + 14.\n2. Substitute v = w + 7 to m, which gives m = w + 21.\n3. Substitute w = c + 10 to m, which gives m = c + 31.\n4. Substitute c = p + 14 to m, which gives m = p + 45.\n5. Substitute p = s + 19 to m, which gives m = s + 64.\n6. Substitute s = 6 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 11684,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 9; m = f + 13; s = 6; o = q + 14; p = s + 19; v = w + 7; y = n + 18; n = b + 17; b = d + 3; f = v + 1; w = c + 10; c = p + 14; d = s + 11. If s = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 13", "h": "y + 19", "t": "h + 2", "w": "t + 8", "p": "w + 5", "v": "p + 3", "z": "x + 10", "a": "z + 11", "u": "a + 10", "b": "u + 17", "m": "b + 19", "l": "m + 4", "x": 2}, "premises": {"x": 2}, "target": "v"}, "answer": {"steps": [["p", "w + 5", "w + 8"], ["w", "t + 8", "t + 16"], ["t", "h + 2", "h + 18"], ["h", "y + 19", "y + 37"], ["y", "x + 13", "x + 50"], ["x", 2, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"x": 2}, "is_reverse": true}} | 11,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 2; m = b + 19; l = m + 4; t = h + 2; p = w + 5; u = a + 10; z = x + 10; v = p + 3; y = x + 13; b = u + 17; h = y + 19; a = z + 11; w = t + 8. Given that x = 2, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 5 to v, which gives v = w + 8.\n2. Substitute w = t + 8 to v, which gives v = t + 16.\n3. Substitute t = h + 2 to v, which gives v = h + 18.\n4. Substitute h = y + 19 to v, which gives v = y + 37.\n5. Substitute y = x + 13 to v, which gives v = x + 50.\n6. Substitute x = 2 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 11685,
"question": "Suppose a collection of variables is related by the following definitions: x = 2; m = b + 19; l = m + 4; t = h + 2; p = w + 5; u = a + 10; z = x + 10; v = p + 3; y = x + 13; b = u + 17; h = y + 19; a = z + 11; w = t + 8. Given that x = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 7", "d": "w + 2", "e": "d + 2", "o": "e + 8", "m": "o + 19", "x": "m + 7", "q": "i + 11", "y": "q + 6", "b": "y + 6", "u": "b + 1", "r": "u + 12", "p": "r + 16", "i": 4}, "premises": {"i": 4}, "target": "x"}, "answer": {"steps": [["m", "o + 19", "o + 26"], ["o", "e + 8", "e + 34"], ["e", "d + 2", "d + 36"], ["d", "w + 2", "w + 38"], ["w", "i + 7", "i + 45"], ["i", 4, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"i": 4}, "is_reverse": true}} | 11,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 19; p = r + 16; u = b + 1; q = i + 11; w = i + 7; d = w + 2; y = q + 6; b = y + 6; e = d + 2; i = 4; x = m + 7; r = u + 12; o = e + 8. Given that i = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 19 to x, which gives x = o + 26.\n2. Substitute o = e + 8 to x, which gives x = e + 34.\n3. Substitute e = d + 2 to x, which gives x = d + 36.\n4. Substitute d = w + 2 to x, which gives x = w + 38.\n5. Substitute w = i + 7 to x, which gives x = i + 45.\n6. Substitute i = 4 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 11686,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 19; p = r + 16; u = b + 1; q = i + 11; w = i + 7; d = w + 2; y = q + 6; b = y + 6; e = d + 2; i = 4; x = m + 7; r = u + 12; o = e + 8. Given that i = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 16", "r": "e + 4", "w": "r + 3", "v": "w + 18", "h": "v + 20", "b": "h + 2", "o": "x + 17", "g": "o + 6", "k": "g + 15", "z": "k + 15", "f": "z + 6", "t": "f + 16", "x": 1}, "premises": {"x": 1}, "target": "b"}, "answer": {"steps": [["h", "v + 20", "v + 22"], ["v", "w + 18", "w + 40"], ["w", "r + 3", "r + 43"], ["r", "e + 4", "e + 47"], ["e", "x + 16", "x + 63"], ["x", 1, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"x": 1}, "is_reverse": true}} | 11,687 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = f + 16; h = v + 20; k = g + 15; r = e + 4; v = w + 18; e = x + 16; x = 1; o = x + 17; g = o + 6; z = k + 15; b = h + 2; w = r + 3; f = z + 6. Given that x = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 20 to b, which gives b = v + 22.\n2. Substitute v = w + 18 to b, which gives b = w + 40.\n3. Substitute w = r + 3 to b, which gives b = r + 43.\n4. Substitute r = e + 4 to b, which gives b = e + 47.\n5. Substitute e = x + 16 to b, which gives b = x + 63.\n6. Substitute x = 1 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 11687,
"question": "Suppose a collection of variables is related by the following definitions: t = f + 16; h = v + 20; k = g + 15; r = e + 4; v = w + 18; e = x + 16; x = 1; o = x + 17; g = o + 6; z = k + 15; b = h + 2; w = r + 3; f = z + 6. Given that x = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 19", "l": "b + 15", "t": "l + 7", "c": "t + 16", "h": "c + 4", "d": "h + 7", "z": "e + 5", "m": "z + 9", "p": "m + 9", "w": "p + 3", "a": "w + 7", "o": "a + 12", "e": 13}, "premises": {"e": 13}, "target": "d"}, "answer": {"steps": [["h", "c + 4", "c + 11"], ["c", "t + 16", "t + 27"], ["t", "l + 7", "l + 34"], ["l", "b + 15", "b + 49"], ["b", "e + 19", "e + 68"], ["e", 13, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"e": 13}, "is_reverse": true}} | 11,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = p + 3; l = b + 15; c = t + 16; a = w + 7; p = m + 9; m = z + 9; b = e + 19; d = h + 7; e = 13; o = a + 12; z = e + 5; t = l + 7; h = c + 4. Given that e = 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. Substitute h = c + 4 to d, which gives d = c + 11.\n2. Substitute c = t + 16 to d, which gives d = t + 27.\n3. Substitute t = l + 7 to d, which gives d = l + 34.\n4. Substitute l = b + 15 to d, which gives d = b + 49.\n5. Substitute b = e + 19 to d, which gives d = e + 68.\n6. Substitute e = 13 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 11688,
"question": "Suppose a collection of variables is related by the following definitions: w = p + 3; l = b + 15; c = t + 16; a = w + 7; p = m + 9; m = z + 9; b = e + 19; d = h + 7; e = 13; o = a + 12; z = e + 5; t = l + 7; h = c + 4. Given that e = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 3", "a": "h + 7", "r": "a + 16", "v": "r + 2", "e": "v + 2", "i": "e + 19", "u": "j + 20", "x": "u + 15", "k": "x + 1", "q": "k + 8", "t": "q + 6", "w": "t + 17", "j": 7}, "premises": {"j": 7}, "target": "i"}, "answer": {"steps": [["e", "v + 2", "v + 21"], ["v", "r + 2", "r + 23"], ["r", "a + 16", "a + 39"], ["a", "h + 7", "h + 46"], ["h", "j + 3", "j + 49"], ["j", 7, "56"]], "target_var_name": "i", "target_value": 56, "value_dict": {"j": 7}, "is_reverse": true}} | 11,689 | 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 = k + 8; t = q + 6; e = v + 2; h = j + 3; v = r + 2; j = 7; r = a + 16; k = x + 1; u = j + 20; x = u + 15; a = h + 7; i = e + 19; w = t + 17. If j = 7, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 2 to i, which gives i = v + 21.\n2. Substitute v = r + 2 to i, which gives i = r + 23.\n3. Substitute r = a + 16 to i, which gives i = a + 39.\n4. Substitute a = h + 7 to i, which gives i = h + 46.\n5. Substitute h = j + 3 to i, which gives i = j + 49.\n6. Substitute j = 7 to i, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 11689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 8; t = q + 6; e = v + 2; h = j + 3; v = r + 2; j = 7; r = a + 16; k = x + 1; u = j + 20; x = u + 15; a = h + 7; i = e + 19; w = t + 17. If j = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 16", "a": "u + 3", "o": "a + 15", "z": "o + 4", "n": "z + 19", "s": "n + 7", "q": "r + 15", "c": "q + 17", "j": "c + 3", "y": "j + 14", "l": "y + 6", "h": "l + 4", "r": 4}, "premises": {"r": 4}, "target": "s"}, "answer": {"steps": [["n", "z + 19", "z + 26"], ["z", "o + 4", "o + 30"], ["o", "a + 15", "a + 45"], ["a", "u + 3", "u + 48"], ["u", "r + 16", "r + 64"], ["r", 4, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"r": 4}, "is_reverse": true}} | 11,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = u + 3; s = n + 7; j = c + 3; y = j + 14; q = r + 15; c = q + 17; u = r + 16; z = o + 4; o = a + 15; l = y + 6; n = z + 19; r = 4; h = l + 4. If r = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 19 to s, which gives s = z + 26.\n2. Substitute z = o + 4 to s, which gives s = o + 30.\n3. Substitute o = a + 15 to s, which gives s = a + 45.\n4. Substitute a = u + 3 to s, which gives s = u + 48.\n5. Substitute u = r + 16 to s, which gives s = r + 64.\n6. Substitute r = 4 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 11690,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 3; s = n + 7; j = c + 3; y = j + 14; q = r + 15; c = q + 17; u = r + 16; z = o + 4; o = a + 15; l = y + 6; n = z + 19; r = 4; h = l + 4. If r = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 5", "b": "g + 1", "z": "b + 7", "q": "z + 9", "d": "q + 4", "i": "d + 2", "y": "n + 12", "c": "y + 13", "t": "c + 8", "l": "t + 6", "m": "l + 1", "w": "m + 9", "n": 16}, "premises": {"n": 16}, "target": "i"}, "answer": {"steps": [["d", "q + 4", "q + 6"], ["q", "z + 9", "z + 15"], ["z", "b + 7", "b + 22"], ["b", "g + 1", "g + 23"], ["g", "n + 5", "n + 28"], ["n", 16, "44"]], "target_var_name": "i", "target_value": 44, "value_dict": {"n": 16}, "is_reverse": true}} | 11,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 6; z = b + 7; c = y + 13; g = n + 5; q = z + 9; b = g + 1; y = n + 12; i = d + 2; w = m + 9; m = l + 1; n = 16; t = c + 8; d = q + 4. Given that n = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 4 to i, which gives i = q + 6.\n2. Substitute q = z + 9 to i, which gives i = z + 15.\n3. Substitute z = b + 7 to i, which gives i = b + 22.\n4. Substitute b = g + 1 to i, which gives i = g + 23.\n5. Substitute g = n + 5 to i, which gives i = n + 28.\n6. Substitute n = 16 to i, which gives i = 44.\n\nThus, the final answer is i = \\boxed{44}.",
"index": 11691,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 6; z = b + 7; c = y + 13; g = n + 5; q = z + 9; b = g + 1; y = n + 12; i = d + 2; w = m + 9; m = l + 1; n = 16; t = c + 8; d = q + 4. Given that n = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 2", "e": "c + 1", "z": "e + 4", "b": "z + 8", "d": "b + 13", "g": "d + 6", "u": "p + 20", "r": "u + 14", "l": "r + 12", "j": "l + 17", "v": "j + 19", "q": "v + 13", "p": 5}, "premises": {"p": 5}, "target": "g"}, "answer": {"steps": [["d", "b + 13", "b + 19"], ["b", "z + 8", "z + 27"], ["z", "e + 4", "e + 31"], ["e", "c + 1", "c + 32"], ["c", "p + 2", "p + 34"], ["p", 5, "39"]], "target_var_name": "g", "target_value": 39, "value_dict": {"p": 5}, "is_reverse": true}} | 11,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 5; g = d + 6; l = r + 12; z = e + 4; q = v + 13; d = b + 13; e = c + 1; u = p + 20; c = p + 2; r = u + 14; v = j + 19; b = z + 8; j = l + 17. Given that p = 5, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 13 to g, which gives g = b + 19.\n2. Substitute b = z + 8 to g, which gives g = z + 27.\n3. Substitute z = e + 4 to g, which gives g = e + 31.\n4. Substitute e = c + 1 to g, which gives g = c + 32.\n5. Substitute c = p + 2 to g, which gives g = p + 34.\n6. Substitute p = 5 to g, which gives g = 39.\n\nThus, the final answer is g = \\boxed{39}.",
"index": 11692,
"question": "Suppose a collection of variables is related by the following definitions: p = 5; g = d + 6; l = r + 12; z = e + 4; q = v + 13; d = b + 13; e = c + 1; u = p + 20; c = p + 2; r = u + 14; v = j + 19; b = z + 8; j = l + 17. Given that p = 5, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 2", "y": "k + 16", "t": "y + 20", "d": "t + 5", "z": "d + 18", "p": "z + 11", "h": "q + 5", "i": "h + 13", "a": "i + 2", "w": "a + 11", "l": "w + 13", "r": "l + 1", "q": 17}, "premises": {"q": 17}, "target": "p"}, "answer": {"steps": [["z", "d + 18", "d + 29"], ["d", "t + 5", "t + 34"], ["t", "y + 20", "y + 54"], ["y", "k + 16", "k + 70"], ["k", "q + 2", "q + 72"], ["q", 17, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"q": 17}, "is_reverse": true}} | 11,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 17; l = w + 13; t = y + 20; d = t + 5; h = q + 5; y = k + 16; p = z + 11; i = h + 13; r = l + 1; w = a + 11; k = q + 2; z = d + 18; a = i + 2. If q = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 18 to p, which gives p = d + 29.\n2. Substitute d = t + 5 to p, which gives p = t + 34.\n3. Substitute t = y + 20 to p, which gives p = y + 54.\n4. Substitute y = k + 16 to p, which gives p = k + 70.\n5. Substitute k = q + 2 to p, which gives p = q + 72.\n6. Substitute q = 17 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 11693,
"question": "Consider a system of variables where each variable is defined as follows: q = 17; l = w + 13; t = y + 20; d = t + 5; h = q + 5; y = k + 16; p = z + 11; i = h + 13; r = l + 1; w = a + 11; k = q + 2; z = d + 18; a = i + 2. If q = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 8", "j": "i + 14", "v": "j + 17", "t": "v + 19", "m": "t + 3", "l": "m + 7", "d": "x + 15", "e": "d + 8", "h": "e + 8", "o": "h + 7", "f": "o + 14", "c": "f + 1", "x": 10}, "premises": {"x": 10}, "target": "l"}, "answer": {"steps": [["m", "t + 3", "t + 10"], ["t", "v + 19", "v + 29"], ["v", "j + 17", "j + 46"], ["j", "i + 14", "i + 60"], ["i", "x + 8", "x + 68"], ["x", 10, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"x": 10}, "is_reverse": true}} | 11,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 8; x = 10; d = x + 15; v = j + 17; c = f + 1; j = i + 14; l = m + 7; i = x + 8; m = t + 3; e = d + 8; o = h + 7; f = o + 14; t = v + 19. Given that x = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 3 to l, which gives l = t + 10.\n2. Substitute t = v + 19 to l, which gives l = v + 29.\n3. Substitute v = j + 17 to l, which gives l = j + 46.\n4. Substitute j = i + 14 to l, which gives l = i + 60.\n5. Substitute i = x + 8 to l, which gives l = x + 68.\n6. Substitute x = 10 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 11694,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 8; x = 10; d = x + 15; v = j + 17; c = f + 1; j = i + 14; l = m + 7; i = x + 8; m = t + 3; e = d + 8; o = h + 7; f = o + 14; t = v + 19. Given that x = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 17", "b": "o + 14", "p": "b + 7", "y": "p + 17", "t": "y + 8", "j": "t + 13", "a": "r + 20", "f": "a + 18", "m": "f + 10", "x": "m + 1", "c": "x + 2", "n": "c + 15", "r": 18}, "premises": {"r": 18}, "target": "j"}, "answer": {"steps": [["t", "y + 8", "y + 21"], ["y", "p + 17", "p + 38"], ["p", "b + 7", "b + 45"], ["b", "o + 14", "o + 59"], ["o", "r + 17", "r + 76"], ["r", 18, "94"]], "target_var_name": "j", "target_value": 94, "value_dict": {"r": 18}, "is_reverse": true}} | 11,695 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = p + 17; f = a + 18; a = r + 20; m = f + 10; c = x + 2; x = m + 1; p = b + 7; b = o + 14; o = r + 17; j = t + 13; r = 18; n = c + 15; t = y + 8. Given that r = 18, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 8 to j, which gives j = y + 21.\n2. Substitute y = p + 17 to j, which gives j = p + 38.\n3. Substitute p = b + 7 to j, which gives j = b + 45.\n4. Substitute b = o + 14 to j, which gives j = o + 59.\n5. Substitute o = r + 17 to j, which gives j = r + 76.\n6. Substitute r = 18 to j, which gives j = 94.\n\nThus, the final answer is j = \\boxed{94}.",
"index": 11695,
"question": "Suppose a collection of variables is related by the following definitions: y = p + 17; f = a + 18; a = r + 20; m = f + 10; c = x + 2; x = m + 1; p = b + 7; b = o + 14; o = r + 17; j = t + 13; r = 18; n = c + 15; t = y + 8. Given that r = 18, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 4", "p": "w + 14", "j": "p + 12", "b": "j + 9", "u": "b + 9", "d": "u + 1", "g": "f + 6", "n": "g + 6", "y": "n + 12", "z": "y + 16", "v": "z + 19", "s": "v + 1", "f": 5}, "premises": {"f": 5}, "target": "d"}, "answer": {"steps": [["u", "b + 9", "b + 10"], ["b", "j + 9", "j + 19"], ["j", "p + 12", "p + 31"], ["p", "w + 14", "w + 45"], ["w", "f + 4", "f + 49"], ["f", 5, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"f": 5}, "is_reverse": true}} | 11,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 4; y = n + 12; n = g + 6; b = j + 9; f = 5; z = y + 16; j = p + 12; g = f + 6; d = u + 1; p = w + 14; v = z + 19; s = v + 1; u = b + 9. If f = 5, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 9 to d, which gives d = b + 10.\n2. Substitute b = j + 9 to d, which gives d = j + 19.\n3. Substitute j = p + 12 to d, which gives d = p + 31.\n4. Substitute p = w + 14 to d, which gives d = w + 45.\n5. Substitute w = f + 4 to d, which gives d = f + 49.\n6. Substitute f = 5 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 11696,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 4; y = n + 12; n = g + 6; b = j + 9; f = 5; z = y + 16; j = p + 12; g = f + 6; d = u + 1; p = w + 14; v = z + 19; s = v + 1; u = b + 9. If f = 5, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 5", "g": "d + 3", "q": "g + 6", "n": "q + 13", "e": "n + 4", "v": "e + 19", "s": "x + 11", "b": "s + 20", "l": "b + 6", "u": "l + 17", "r": "u + 1", "f": "r + 5", "x": 20}, "premises": {"x": 20}, "target": "v"}, "answer": {"steps": [["e", "n + 4", "n + 23"], ["n", "q + 13", "q + 36"], ["q", "g + 6", "g + 42"], ["g", "d + 3", "d + 45"], ["d", "x + 5", "x + 50"], ["x", 20, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"x": 20}, "is_reverse": true}} | 11,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 13; b = s + 20; q = g + 6; x = 20; v = e + 19; l = b + 6; f = r + 5; u = l + 17; d = x + 5; e = n + 4; s = x + 11; g = d + 3; r = u + 1. If x = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 4 to v, which gives v = n + 23.\n2. Substitute n = q + 13 to v, which gives v = q + 36.\n3. Substitute q = g + 6 to v, which gives v = g + 42.\n4. Substitute g = d + 3 to v, which gives v = d + 45.\n5. Substitute d = x + 5 to v, which gives v = x + 50.\n6. Substitute x = 20 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 11697,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 13; b = s + 20; q = g + 6; x = 20; v = e + 19; l = b + 6; f = r + 5; u = l + 17; d = x + 5; e = n + 4; s = x + 11; g = d + 3; r = u + 1. If x = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 16", "f": "q + 20", "j": "f + 15", "t": "j + 8", "z": "t + 7", "b": "z + 19", "c": "n + 2", "v": "c + 18", "m": "v + 10", "i": "m + 7", "p": "i + 17", "w": "p + 15", "n": 13}, "premises": {"n": 13}, "target": "b"}, "answer": {"steps": [["z", "t + 7", "t + 26"], ["t", "j + 8", "j + 34"], ["j", "f + 15", "f + 49"], ["f", "q + 20", "q + 69"], ["q", "n + 16", "n + 85"], ["n", 13, "98"]], "target_var_name": "b", "target_value": 98, "value_dict": {"n": 13}, "is_reverse": true}} | 11,698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 2; w = p + 15; p = i + 17; t = j + 8; q = n + 16; v = c + 18; b = z + 19; m = v + 10; n = 13; i = m + 7; j = f + 15; z = t + 7; f = q + 20. If n = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 7 to b, which gives b = t + 26.\n2. Substitute t = j + 8 to b, which gives b = j + 34.\n3. Substitute j = f + 15 to b, which gives b = f + 49.\n4. Substitute f = q + 20 to b, which gives b = q + 69.\n5. Substitute q = n + 16 to b, which gives b = n + 85.\n6. Substitute n = 13 to b, which gives b = 98.\n\nThus, the final answer is b = \\boxed{98}.",
"index": 11698,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 2; w = p + 15; p = i + 17; t = j + 8; q = n + 16; v = c + 18; b = z + 19; m = v + 10; n = 13; i = m + 7; j = f + 15; z = t + 7; f = q + 20. If n = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 16", "b": "j + 2", "i": "b + 10", "f": "i + 13", "k": "f + 14", "q": "k + 19", "n": "e + 18", "s": "n + 20", "g": "s + 10", "h": "g + 17", "d": "h + 18", "w": "d + 2", "e": 2}, "premises": {"e": 2}, "target": "q"}, "answer": {"steps": [["k", "f + 14", "f + 33"], ["f", "i + 13", "i + 46"], ["i", "b + 10", "b + 56"], ["b", "j + 2", "j + 58"], ["j", "e + 16", "e + 74"], ["e", 2, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"e": 2}, "is_reverse": true}} | 11,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 10; j = e + 16; f = i + 13; d = h + 18; b = j + 2; i = b + 10; n = e + 18; e = 2; h = g + 17; q = k + 19; k = f + 14; w = d + 2; s = n + 20. If e = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 14 to q, which gives q = f + 33.\n2. Substitute f = i + 13 to q, which gives q = i + 46.\n3. Substitute i = b + 10 to q, which gives q = b + 56.\n4. Substitute b = j + 2 to q, which gives q = j + 58.\n5. Substitute j = e + 16 to q, which gives q = e + 74.\n6. Substitute e = 2 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 11699,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 10; j = e + 16; f = i + 13; d = h + 18; b = j + 2; i = b + 10; n = e + 18; e = 2; h = g + 17; q = k + 19; k = f + 14; w = d + 2; s = n + 20. If e = 2, what is the resulting value of q?",
"split": "train"
} |
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