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": {"h": "f + 3", "x": "h + 6", "p": "x + 13", "w": "p + 14", "t": "w + 18", "j": "t + 1", "n": "f + 11", "a": "n + 1", "c": "a + 19", "g": "c + 19", "o": "g + 7", "i": "o + 19", "f": 9}, "premises": {"f": 9}, "target": "j"}, "answer": {"steps": [["t", "w + 18", "w + 19"], ["w", "p + 14", "p + 33"], ["p", "x + 13", "x + 46"], ["x", "h + 6", "h + 52"], ["h", "f + 3", "f + 55"], ["f", 9, "64"]], "target_var_name": "j", "target_value": 64, "value_dict": {"f": 9}, "is_reverse": true}} | 19,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 11; j = t + 1; g = c + 19; c = a + 19; a = n + 1; t = w + 18; o = g + 7; h = f + 3; f = 9; w = p + 14; x = h + 6; p = x + 13; i = o + 19. If f = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 18 to j, which gives j = w + 19.\n2. Substitute w = p + 14 to j, which gives j = p + 33.\n3. Substitute p = x + 13 to j, which gives j = x + 46.\n4. Substitute x = h + 6 to j, which gives j = h + 52.\n5. Substitute h = f + 3 to j, which gives j = f + 55.\n6. Substitute f = 9 to j, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 19700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 11; j = t + 1; g = c + 19; c = a + 19; a = n + 1; t = w + 18; o = g + 7; h = f + 3; f = 9; w = p + 14; x = h + 6; p = x + 13; i = o + 19. If f = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 3", "p": "g + 7", "n": "p + 4", "x": "n + 5", "k": "x + 2", "l": "k + 11", "u": "q + 16", "r": "u + 11", "j": "r + 14", "m": "j + 15", "c": "m + 19", "e": "c + 17", "q": 20}, "premises": {"q": 20}, "target": "l"}, "answer": {"steps": [["k", "x + 2", "x + 13"], ["x", "n + 5", "n + 18"], ["n", "p + 4", "p + 22"], ["p", "g + 7", "g + 29"], ["g", "q + 3", "q + 32"], ["q", 20, "52"]], "target_var_name": "l", "target_value": 52, "value_dict": {"q": 20}, "is_reverse": true}} | 19,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = q + 16; r = u + 11; g = q + 3; n = p + 4; j = r + 14; m = j + 15; q = 20; x = n + 5; e = c + 17; c = m + 19; k = x + 2; p = g + 7; l = k + 11. Given that q = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 2 to l, which gives l = x + 13.\n2. Substitute x = n + 5 to l, which gives l = n + 18.\n3. Substitute n = p + 4 to l, which gives l = p + 22.\n4. Substitute p = g + 7 to l, which gives l = g + 29.\n5. Substitute g = q + 3 to l, which gives l = q + 32.\n6. Substitute q = 20 to l, which gives l = 52.\n\nThus, the final answer is l = \\boxed{52}.",
"index": 19701,
"question": "Suppose a collection of variables is related by the following definitions: u = q + 16; r = u + 11; g = q + 3; n = p + 4; j = r + 14; m = j + 15; q = 20; x = n + 5; e = c + 17; c = m + 19; k = x + 2; p = g + 7; l = k + 11. Given that q = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 3", "z": "d + 9", "y": "z + 17", "c": "y + 1", "p": "c + 1", "s": "p + 4", "q": "b + 5", "e": "q + 18", "u": "e + 20", "t": "u + 3", "i": "t + 17", "j": "i + 19", "b": 11}, "premises": {"b": 11}, "target": "s"}, "answer": {"steps": [["p", "c + 1", "c + 5"], ["c", "y + 1", "y + 6"], ["y", "z + 17", "z + 23"], ["z", "d + 9", "d + 32"], ["d", "b + 3", "b + 35"], ["b", 11, "46"]], "target_var_name": "s", "target_value": 46, "value_dict": {"b": 11}, "is_reverse": true}} | 19,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 20; q = b + 5; b = 11; s = p + 4; c = y + 1; z = d + 9; p = c + 1; d = b + 3; j = i + 19; i = t + 17; y = z + 17; e = q + 18; t = u + 3. Given that b = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 1 to s, which gives s = c + 5.\n2. Substitute c = y + 1 to s, which gives s = y + 6.\n3. Substitute y = z + 17 to s, which gives s = z + 23.\n4. Substitute z = d + 9 to s, which gives s = d + 32.\n5. Substitute d = b + 3 to s, which gives s = b + 35.\n6. Substitute b = 11 to s, which gives s = 46.\n\nThus, the final answer is s = \\boxed{46}.",
"index": 19702,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 20; q = b + 5; b = 11; s = p + 4; c = y + 1; z = d + 9; p = c + 1; d = b + 3; j = i + 19; i = t + 17; y = z + 17; e = q + 18; t = u + 3. Given that b = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 19", "d": "v + 2", "n": "d + 2", "w": "n + 2", "o": "w + 11", "c": "o + 10", "j": "h + 15", "l": "j + 20", "m": "l + 17", "b": "m + 9", "k": "b + 17", "u": "k + 1", "h": 11}, "premises": {"h": 11}, "target": "c"}, "answer": {"steps": [["o", "w + 11", "w + 21"], ["w", "n + 2", "n + 23"], ["n", "d + 2", "d + 25"], ["d", "v + 2", "v + 27"], ["v", "h + 19", "h + 46"], ["h", 11, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"h": 11}, "is_reverse": true}} | 19,703 | 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 = d + 2; w = n + 2; j = h + 15; u = k + 1; v = h + 19; o = w + 11; h = 11; l = j + 20; d = v + 2; m = l + 17; k = b + 17; c = o + 10; b = m + 9. If h = 11, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 11 to c, which gives c = w + 21.\n2. Substitute w = n + 2 to c, which gives c = n + 23.\n3. Substitute n = d + 2 to c, which gives c = d + 25.\n4. Substitute d = v + 2 to c, which gives c = v + 27.\n5. Substitute v = h + 19 to c, which gives c = h + 46.\n6. Substitute h = 11 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 19703,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = d + 2; w = n + 2; j = h + 15; u = k + 1; v = h + 19; o = w + 11; h = 11; l = j + 20; d = v + 2; m = l + 17; k = b + 17; c = o + 10; b = m + 9. If h = 11, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 1", "u": "y + 13", "x": "u + 16", "n": "x + 2", "h": "n + 16", "w": "h + 20", "e": "i + 18", "q": "e + 5", "d": "q + 11", "z": "d + 7", "b": "z + 6", "o": "b + 1", "i": 19}, "premises": {"i": 19}, "target": "w"}, "answer": {"steps": [["h", "n + 16", "n + 36"], ["n", "x + 2", "x + 38"], ["x", "u + 16", "u + 54"], ["u", "y + 13", "y + 67"], ["y", "i + 1", "i + 68"], ["i", 19, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"i": 19}, "is_reverse": true}} | 19,704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 2; y = i + 1; x = u + 16; d = q + 11; z = d + 7; e = i + 18; q = e + 5; h = n + 16; b = z + 6; i = 19; w = h + 20; u = y + 13; o = b + 1. If i = 19, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 16 to w, which gives w = n + 36.\n2. Substitute n = x + 2 to w, which gives w = x + 38.\n3. Substitute x = u + 16 to w, which gives w = u + 54.\n4. Substitute u = y + 13 to w, which gives w = y + 67.\n5. Substitute y = i + 1 to w, which gives w = i + 68.\n6. Substitute i = 19 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 19704,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 2; y = i + 1; x = u + 16; d = q + 11; z = d + 7; e = i + 18; q = e + 5; h = n + 16; b = z + 6; i = 19; w = h + 20; u = y + 13; o = b + 1. If i = 19, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 13", "d": "m + 12", "a": "d + 14", "v": "a + 16", "o": "v + 14", "k": "o + 4", "h": "j + 20", "g": "h + 10", "e": "g + 20", "x": "e + 5", "t": "x + 18", "s": "t + 5", "j": 16}, "premises": {"j": 16}, "target": "k"}, "answer": {"steps": [["o", "v + 14", "v + 18"], ["v", "a + 16", "a + 34"], ["a", "d + 14", "d + 48"], ["d", "m + 12", "m + 60"], ["m", "j + 13", "j + 73"], ["j", 16, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"j": 16}, "is_reverse": true}} | 19,705 | 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 = g + 20; s = t + 5; h = j + 20; a = d + 14; v = a + 16; k = o + 4; j = 16; t = x + 18; m = j + 13; x = e + 5; d = m + 12; g = h + 10; o = v + 14. If j = 16, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 14 to k, which gives k = v + 18.\n2. Substitute v = a + 16 to k, which gives k = a + 34.\n3. Substitute a = d + 14 to k, which gives k = d + 48.\n4. Substitute d = m + 12 to k, which gives k = m + 60.\n5. Substitute m = j + 13 to k, which gives k = j + 73.\n6. Substitute j = 16 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 19705,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 20; s = t + 5; h = j + 20; a = d + 14; v = a + 16; k = o + 4; j = 16; t = x + 18; m = j + 13; x = e + 5; d = m + 12; g = h + 10; o = v + 14. If j = 16, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 9", "d": "s + 18", "g": "d + 17", "c": "g + 7", "a": "c + 15", "w": "a + 11", "v": "n + 4", "x": "v + 15", "t": "x + 17", "r": "t + 19", "e": "r + 11", "z": "e + 12", "n": 6}, "premises": {"n": 6}, "target": "w"}, "answer": {"steps": [["a", "c + 15", "c + 26"], ["c", "g + 7", "g + 33"], ["g", "d + 17", "d + 50"], ["d", "s + 18", "s + 68"], ["s", "n + 9", "n + 77"], ["n", 6, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"n": 6}, "is_reverse": true}} | 19,706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 11; g = d + 17; a = c + 15; x = v + 15; s = n + 9; t = x + 17; e = r + 11; r = t + 19; n = 6; z = e + 12; c = g + 7; v = n + 4; d = s + 18. If n = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 15 to w, which gives w = c + 26.\n2. Substitute c = g + 7 to w, which gives w = g + 33.\n3. Substitute g = d + 17 to w, which gives w = d + 50.\n4. Substitute d = s + 18 to w, which gives w = s + 68.\n5. Substitute s = n + 9 to w, which gives w = n + 77.\n6. Substitute n = 6 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 19706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 11; g = d + 17; a = c + 15; x = v + 15; s = n + 9; t = x + 17; e = r + 11; r = t + 19; n = 6; z = e + 12; c = g + 7; v = n + 4; d = s + 18. If n = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 6", "t": "x + 9", "s": "t + 16", "z": "s + 20", "d": "z + 11", "m": "d + 1", "n": "f + 10", "r": "n + 18", "y": "r + 12", "i": "y + 3", "g": "i + 15", "c": "g + 11", "f": 5}, "premises": {"f": 5}, "target": "m"}, "answer": {"steps": [["d", "z + 11", "z + 12"], ["z", "s + 20", "s + 32"], ["s", "t + 16", "t + 48"], ["t", "x + 9", "x + 57"], ["x", "f + 6", "f + 63"], ["f", 5, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"f": 5}, "is_reverse": true}} | 19,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 5; x = f + 6; y = r + 12; z = s + 20; g = i + 15; r = n + 18; d = z + 11; s = t + 16; t = x + 9; m = d + 1; c = g + 11; i = y + 3; n = f + 10. If f = 5, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 11 to m, which gives m = z + 12.\n2. Substitute z = s + 20 to m, which gives m = s + 32.\n3. Substitute s = t + 16 to m, which gives m = t + 48.\n4. Substitute t = x + 9 to m, which gives m = x + 57.\n5. Substitute x = f + 6 to m, which gives m = f + 63.\n6. Substitute f = 5 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 19707,
"question": "Consider a system of variables where each variable is defined as follows: f = 5; x = f + 6; y = r + 12; z = s + 20; g = i + 15; r = n + 18; d = z + 11; s = t + 16; t = x + 9; m = d + 1; c = g + 11; i = y + 3; n = f + 10. If f = 5, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 16", "r": "c + 6", "o": "r + 17", "k": "o + 16", "p": "k + 2", "v": "p + 7", "d": "u + 8", "i": "d + 3", "l": "i + 6", "w": "l + 11", "h": "w + 14", "b": "h + 13", "u": 10}, "premises": {"u": 10}, "target": "v"}, "answer": {"steps": [["p", "k + 2", "k + 9"], ["k", "o + 16", "o + 25"], ["o", "r + 17", "r + 42"], ["r", "c + 6", "c + 48"], ["c", "u + 16", "u + 64"], ["u", 10, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"u": 10}, "is_reverse": true}} | 19,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 2; v = p + 7; b = h + 13; l = i + 6; i = d + 3; r = c + 6; k = o + 16; w = l + 11; d = u + 8; h = w + 14; u = 10; o = r + 17; c = u + 16. Given that u = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 2 to v, which gives v = k + 9.\n2. Substitute k = o + 16 to v, which gives v = o + 25.\n3. Substitute o = r + 17 to v, which gives v = r + 42.\n4. Substitute r = c + 6 to v, which gives v = c + 48.\n5. Substitute c = u + 16 to v, which gives v = u + 64.\n6. Substitute u = 10 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 19708,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 2; v = p + 7; b = h + 13; l = i + 6; i = d + 3; r = c + 6; k = o + 16; w = l + 11; d = u + 8; h = w + 14; u = 10; o = r + 17; c = u + 16. Given that u = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 6", "g": "o + 9", "l": "g + 19", "u": "l + 19", "x": "u + 18", "n": "x + 20", "a": "e + 10", "m": "a + 3", "y": "m + 13", "d": "y + 11", "t": "d + 2", "r": "t + 9", "e": 20}, "premises": {"e": 20}, "target": "n"}, "answer": {"steps": [["x", "u + 18", "u + 38"], ["u", "l + 19", "l + 57"], ["l", "g + 19", "g + 76"], ["g", "o + 9", "o + 85"], ["o", "e + 6", "e + 91"], ["e", 20, "111"]], "target_var_name": "n", "target_value": 111, "value_dict": {"e": 20}, "is_reverse": true}} | 19,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 19; g = o + 9; e = 20; a = e + 10; r = t + 9; o = e + 6; n = x + 20; d = y + 11; l = g + 19; t = d + 2; y = m + 13; m = a + 3; x = u + 18. Given that e = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 18 to n, which gives n = u + 38.\n2. Substitute u = l + 19 to n, which gives n = l + 57.\n3. Substitute l = g + 19 to n, which gives n = g + 76.\n4. Substitute g = o + 9 to n, which gives n = o + 85.\n5. Substitute o = e + 6 to n, which gives n = e + 91.\n6. Substitute e = 20 to n, which gives n = 111.\n\nThus, the final answer is n = \\boxed{111}.",
"index": 19709,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 19; g = o + 9; e = 20; a = e + 10; r = t + 9; o = e + 6; n = x + 20; d = y + 11; l = g + 19; t = d + 2; y = m + 13; m = a + 3; x = u + 18. Given that e = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 6", "z": "a + 17", "g": "z + 10", "w": "g + 1", "e": "w + 14", "s": "e + 11", "r": "b + 6", "l": "r + 4", "n": "l + 11", "t": "n + 9", "v": "t + 18", "u": "v + 16", "b": 2}, "premises": {"b": 2}, "target": "s"}, "answer": {"steps": [["e", "w + 14", "w + 25"], ["w", "g + 1", "g + 26"], ["g", "z + 10", "z + 36"], ["z", "a + 17", "a + 53"], ["a", "b + 6", "b + 59"], ["b", 2, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"b": 2}, "is_reverse": true}} | 19,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 11; v = t + 18; b = 2; s = e + 11; w = g + 1; e = w + 14; u = v + 16; z = a + 17; l = r + 4; t = n + 9; r = b + 6; a = b + 6; g = z + 10. If b = 2, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 14 to s, which gives s = w + 25.\n2. Substitute w = g + 1 to s, which gives s = g + 26.\n3. Substitute g = z + 10 to s, which gives s = z + 36.\n4. Substitute z = a + 17 to s, which gives s = a + 53.\n5. Substitute a = b + 6 to s, which gives s = b + 59.\n6. Substitute b = 2 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 19710,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 11; v = t + 18; b = 2; s = e + 11; w = g + 1; e = w + 14; u = v + 16; z = a + 17; l = r + 4; t = n + 9; r = b + 6; a = b + 6; g = z + 10. If b = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 7", "t": "q + 19", "f": "t + 4", "z": "f + 12", "x": "z + 19", "i": "x + 16", "r": "d + 10", "s": "r + 18", "c": "s + 11", "o": "c + 18", "g": "o + 17", "k": "g + 3", "d": 9}, "premises": {"d": 9}, "target": "i"}, "answer": {"steps": [["x", "z + 19", "z + 35"], ["z", "f + 12", "f + 47"], ["f", "t + 4", "t + 51"], ["t", "q + 19", "q + 70"], ["q", "d + 7", "d + 77"], ["d", 9, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"d": 9}, "is_reverse": true}} | 19,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 4; i = x + 16; c = s + 11; x = z + 19; t = q + 19; o = c + 18; q = d + 7; g = o + 17; r = d + 10; d = 9; s = r + 18; k = g + 3; z = f + 12. Given that d = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 19 to i, which gives i = z + 35.\n2. Substitute z = f + 12 to i, which gives i = f + 47.\n3. Substitute f = t + 4 to i, which gives i = t + 51.\n4. Substitute t = q + 19 to i, which gives i = q + 70.\n5. Substitute q = d + 7 to i, which gives i = d + 77.\n6. Substitute d = 9 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 19711,
"question": "Suppose a collection of variables is related by the following definitions: f = t + 4; i = x + 16; c = s + 11; x = z + 19; t = q + 19; o = c + 18; q = d + 7; g = o + 17; r = d + 10; d = 9; s = r + 18; k = g + 3; z = f + 12. Given that d = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 14", "z": "t + 4", "i": "z + 3", "r": "i + 4", "c": "r + 5", "u": "c + 15", "y": "h + 2", "x": "y + 9", "n": "x + 10", "q": "n + 13", "l": "q + 15", "w": "l + 15", "h": 7}, "premises": {"h": 7}, "target": "u"}, "answer": {"steps": [["c", "r + 5", "r + 20"], ["r", "i + 4", "i + 24"], ["i", "z + 3", "z + 27"], ["z", "t + 4", "t + 31"], ["t", "h + 14", "h + 45"], ["h", 7, "52"]], "target_var_name": "u", "target_value": 52, "value_dict": {"h": 7}, "is_reverse": true}} | 19,712 | 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 = n + 13; l = q + 15; c = r + 5; z = t + 4; y = h + 2; r = i + 4; t = h + 14; i = z + 3; w = l + 15; h = 7; x = y + 9; u = c + 15; n = x + 10. If h = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 5 to u, which gives u = r + 20.\n2. Substitute r = i + 4 to u, which gives u = i + 24.\n3. Substitute i = z + 3 to u, which gives u = z + 27.\n4. Substitute z = t + 4 to u, which gives u = t + 31.\n5. Substitute t = h + 14 to u, which gives u = h + 45.\n6. Substitute h = 7 to u, which gives u = 52.\n\nThus, the final answer is u = \\boxed{52}.",
"index": 19712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 13; l = q + 15; c = r + 5; z = t + 4; y = h + 2; r = i + 4; t = h + 14; i = z + 3; w = l + 15; h = 7; x = y + 9; u = c + 15; n = x + 10. If h = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 11", "l": "b + 10", "q": "l + 6", "a": "q + 11", "r": "a + 2", "i": "r + 5", "u": "e + 5", "f": "u + 12", "j": "f + 18", "s": "j + 2", "v": "s + 12", "t": "v + 10", "e": 6}, "premises": {"e": 6}, "target": "i"}, "answer": {"steps": [["r", "a + 2", "a + 7"], ["a", "q + 11", "q + 18"], ["q", "l + 6", "l + 24"], ["l", "b + 10", "b + 34"], ["b", "e + 11", "e + 45"], ["e", 6, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"e": 6}, "is_reverse": true}} | 19,713 | 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 = l + 6; s = j + 2; i = r + 5; e = 6; v = s + 12; r = a + 2; f = u + 12; l = b + 10; j = f + 18; a = q + 11; u = e + 5; t = v + 10; b = e + 11. If e = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 2 to i, which gives i = a + 7.\n2. Substitute a = q + 11 to i, which gives i = q + 18.\n3. Substitute q = l + 6 to i, which gives i = l + 24.\n4. Substitute l = b + 10 to i, which gives i = b + 34.\n5. Substitute b = e + 11 to i, which gives i = e + 45.\n6. Substitute e = 6 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 19713,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 6; s = j + 2; i = r + 5; e = 6; v = s + 12; r = a + 2; f = u + 12; l = b + 10; j = f + 18; a = q + 11; u = e + 5; t = v + 10; b = e + 11. If e = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 9", "t": "y + 5", "i": "t + 15", "k": "i + 3", "j": "k + 18", "n": "j + 14", "w": "b + 9", "p": "w + 4", "e": "p + 9", "v": "e + 18", "o": "v + 18", "s": "o + 1", "b": 6}, "premises": {"b": 6}, "target": "n"}, "answer": {"steps": [["j", "k + 18", "k + 32"], ["k", "i + 3", "i + 35"], ["i", "t + 15", "t + 50"], ["t", "y + 5", "y + 55"], ["y", "b + 9", "b + 64"], ["b", 6, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"b": 6}, "is_reverse": true}} | 19,714 | 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 = b + 9; p = w + 4; w = b + 9; i = t + 15; e = p + 9; o = v + 18; k = i + 3; s = o + 1; j = k + 18; v = e + 18; n = j + 14; b = 6; t = y + 5. If b = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 18 to n, which gives n = k + 32.\n2. Substitute k = i + 3 to n, which gives n = i + 35.\n3. Substitute i = t + 15 to n, which gives n = t + 50.\n4. Substitute t = y + 5 to n, which gives n = y + 55.\n5. Substitute y = b + 9 to n, which gives n = b + 64.\n6. Substitute b = 6 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 19714,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 9; p = w + 4; w = b + 9; i = t + 15; e = p + 9; o = v + 18; k = i + 3; s = o + 1; j = k + 18; v = e + 18; n = j + 14; b = 6; t = y + 5. If b = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 18", "v": "n + 7", "i": "v + 13", "e": "i + 14", "d": "e + 11", "x": "d + 20", "f": "o + 8", "m": "f + 7", "l": "m + 14", "p": "l + 5", "g": "p + 3", "w": "g + 7", "o": 18}, "premises": {"o": 18}, "target": "x"}, "answer": {"steps": [["d", "e + 11", "e + 31"], ["e", "i + 14", "i + 45"], ["i", "v + 13", "v + 58"], ["v", "n + 7", "n + 65"], ["n", "o + 18", "o + 83"], ["o", 18, "101"]], "target_var_name": "x", "target_value": 101, "value_dict": {"o": 18}, "is_reverse": true}} | 19,715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = d + 20; p = l + 5; v = n + 7; m = f + 7; d = e + 11; f = o + 8; e = i + 14; g = p + 3; l = m + 14; n = o + 18; i = v + 13; w = g + 7; o = 18. Given that o = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 11 to x, which gives x = e + 31.\n2. Substitute e = i + 14 to x, which gives x = i + 45.\n3. Substitute i = v + 13 to x, which gives x = v + 58.\n4. Substitute v = n + 7 to x, which gives x = n + 65.\n5. Substitute n = o + 18 to x, which gives x = o + 83.\n6. Substitute o = 18 to x, which gives x = 101.\n\nThus, the final answer is x = \\boxed{101}.",
"index": 19715,
"question": "Suppose a collection of variables is related by the following definitions: x = d + 20; p = l + 5; v = n + 7; m = f + 7; d = e + 11; f = o + 8; e = i + 14; g = p + 3; l = m + 14; n = o + 18; i = v + 13; w = g + 7; o = 18. Given that o = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 1", "i": "j + 17", "o": "i + 14", "d": "o + 18", "b": "d + 10", "v": "b + 8", "f": "c + 13", "x": "f + 17", "w": "x + 4", "n": "w + 10", "r": "n + 18", "p": "r + 8", "c": 6}, "premises": {"c": 6}, "target": "v"}, "answer": {"steps": [["b", "d + 10", "d + 18"], ["d", "o + 18", "o + 36"], ["o", "i + 14", "i + 50"], ["i", "j + 17", "j + 67"], ["j", "c + 1", "c + 68"], ["c", 6, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"c": 6}, "is_reverse": true}} | 19,716 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = b + 8; w = x + 4; f = c + 13; b = d + 10; i = j + 17; r = n + 18; p = r + 8; c = 6; o = i + 14; n = w + 10; x = f + 17; d = o + 18; j = c + 1. If c = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 10 to v, which gives v = d + 18.\n2. Substitute d = o + 18 to v, which gives v = o + 36.\n3. Substitute o = i + 14 to v, which gives v = i + 50.\n4. Substitute i = j + 17 to v, which gives v = j + 67.\n5. Substitute j = c + 1 to v, which gives v = c + 68.\n6. Substitute c = 6 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 19716,
"question": "Consider a system of variables where each variable is defined as follows: v = b + 8; w = x + 4; f = c + 13; b = d + 10; i = j + 17; r = n + 18; p = r + 8; c = 6; o = i + 14; n = w + 10; x = f + 17; d = o + 18; j = c + 1. If c = 6, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 15", "m": "y + 14", "d": "m + 2", "i": "d + 19", "c": "i + 13", "u": "c + 1", "g": "l + 14", "w": "g + 10", "f": "w + 16", "k": "f + 10", "p": "k + 19", "q": "p + 3", "l": 12}, "premises": {"l": 12}, "target": "u"}, "answer": {"steps": [["c", "i + 13", "i + 14"], ["i", "d + 19", "d + 33"], ["d", "m + 2", "m + 35"], ["m", "y + 14", "y + 49"], ["y", "l + 15", "l + 64"], ["l", 12, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"l": 12}, "is_reverse": true}} | 19,717 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 2; y = l + 15; u = c + 1; m = y + 14; w = g + 10; l = 12; c = i + 13; g = l + 14; f = w + 16; p = k + 19; q = p + 3; i = d + 19; k = f + 10. If l = 12, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 13 to u, which gives u = i + 14.\n2. Substitute i = d + 19 to u, which gives u = d + 33.\n3. Substitute d = m + 2 to u, which gives u = m + 35.\n4. Substitute m = y + 14 to u, which gives u = y + 49.\n5. Substitute y = l + 15 to u, which gives u = l + 64.\n6. Substitute l = 12 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 19717,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 2; y = l + 15; u = c + 1; m = y + 14; w = g + 10; l = 12; c = i + 13; g = l + 14; f = w + 16; p = k + 19; q = p + 3; i = d + 19; k = f + 10. If l = 12, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 12", "r": "w + 1", "p": "r + 11", "v": "p + 1", "a": "v + 1", "l": "a + 2", "g": "o + 6", "y": "g + 16", "q": "y + 15", "m": "q + 16", "x": "m + 14", "c": "x + 12", "o": 6}, "premises": {"o": 6}, "target": "l"}, "answer": {"steps": [["a", "v + 1", "v + 3"], ["v", "p + 1", "p + 4"], ["p", "r + 11", "r + 15"], ["r", "w + 1", "w + 16"], ["w", "o + 12", "o + 28"], ["o", 6, "34"]], "target_var_name": "l", "target_value": 34, "value_dict": {"o": 6}, "is_reverse": true}} | 19,718 | 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 = w + 1; x = m + 14; w = o + 12; c = x + 12; g = o + 6; l = a + 2; v = p + 1; m = q + 16; o = 6; p = r + 11; a = v + 1; q = y + 15; y = g + 16. If o = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 1 to l, which gives l = v + 3.\n2. Substitute v = p + 1 to l, which gives l = p + 4.\n3. Substitute p = r + 11 to l, which gives l = r + 15.\n4. Substitute r = w + 1 to l, which gives l = w + 16.\n5. Substitute w = o + 12 to l, which gives l = o + 28.\n6. Substitute o = 6 to l, which gives l = 34.\n\nThus, the final answer is l = \\boxed{34}.",
"index": 19718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 1; x = m + 14; w = o + 12; c = x + 12; g = o + 6; l = a + 2; v = p + 1; m = q + 16; o = 6; p = r + 11; a = v + 1; q = y + 15; y = g + 16. If o = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 17", "g": "s + 11", "l": "g + 11", "i": "l + 11", "n": "i + 7", "w": "n + 20", "a": "d + 4", "h": "a + 2", "q": "h + 17", "p": "q + 10", "u": "p + 18", "z": "u + 8", "d": 3}, "premises": {"d": 3}, "target": "w"}, "answer": {"steps": [["n", "i + 7", "i + 27"], ["i", "l + 11", "l + 38"], ["l", "g + 11", "g + 49"], ["g", "s + 11", "s + 60"], ["s", "d + 17", "d + 77"], ["d", 3, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"d": 3}, "is_reverse": true}} | 19,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = n + 20; n = i + 7; l = g + 11; d = 3; g = s + 11; z = u + 8; q = h + 17; u = p + 18; h = a + 2; i = l + 11; p = q + 10; s = d + 17; a = d + 4. If d = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 7 to w, which gives w = i + 27.\n2. Substitute i = l + 11 to w, which gives w = l + 38.\n3. Substitute l = g + 11 to w, which gives w = g + 49.\n4. Substitute g = s + 11 to w, which gives w = s + 60.\n5. Substitute s = d + 17 to w, which gives w = d + 77.\n6. Substitute d = 3 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 19719,
"question": "Consider a system of variables where each variable is defined as follows: w = n + 20; n = i + 7; l = g + 11; d = 3; g = s + 11; z = u + 8; q = h + 17; u = p + 18; h = a + 2; i = l + 11; p = q + 10; s = d + 17; a = d + 4. If d = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 6", "b": "n + 1", "j": "b + 14", "q": "j + 17", "s": "q + 14", "u": "s + 14", "o": "y + 10", "x": "o + 7", "v": "x + 18", "m": "v + 15", "c": "m + 5", "i": "c + 7", "y": 16}, "premises": {"y": 16}, "target": "u"}, "answer": {"steps": [["s", "q + 14", "q + 28"], ["q", "j + 17", "j + 45"], ["j", "b + 14", "b + 59"], ["b", "n + 1", "n + 60"], ["n", "y + 6", "y + 66"], ["y", 16, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"y": 16}, "is_reverse": true}} | 19,720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 10; v = x + 18; x = o + 7; u = s + 14; y = 16; s = q + 14; m = v + 15; q = j + 17; j = b + 14; c = m + 5; b = n + 1; i = c + 7; n = y + 6. If y = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 14 to u, which gives u = q + 28.\n2. Substitute q = j + 17 to u, which gives u = j + 45.\n3. Substitute j = b + 14 to u, which gives u = b + 59.\n4. Substitute b = n + 1 to u, which gives u = n + 60.\n5. Substitute n = y + 6 to u, which gives u = y + 66.\n6. Substitute y = 16 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 19720,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 10; v = x + 18; x = o + 7; u = s + 14; y = 16; s = q + 14; m = v + 15; q = j + 17; j = b + 14; c = m + 5; b = n + 1; i = c + 7; n = y + 6. If y = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 16", "d": "g + 14", "i": "d + 5", "q": "i + 16", "n": "q + 4", "t": "n + 10", "c": "z + 16", "w": "c + 9", "p": "w + 17", "s": "p + 16", "l": "s + 4", "m": "l + 18", "z": 14}, "premises": {"z": 14}, "target": "t"}, "answer": {"steps": [["n", "q + 4", "q + 14"], ["q", "i + 16", "i + 30"], ["i", "d + 5", "d + 35"], ["d", "g + 14", "g + 49"], ["g", "z + 16", "z + 65"], ["z", 14, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"z": 14}, "is_reverse": true}} | 19,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 9; l = s + 4; n = q + 4; g = z + 16; i = d + 5; d = g + 14; s = p + 16; p = w + 17; m = l + 18; q = i + 16; c = z + 16; t = n + 10; z = 14. If z = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 4 to t, which gives t = q + 14.\n2. Substitute q = i + 16 to t, which gives t = i + 30.\n3. Substitute i = d + 5 to t, which gives t = d + 35.\n4. Substitute d = g + 14 to t, which gives t = g + 49.\n5. Substitute g = z + 16 to t, which gives t = z + 65.\n6. Substitute z = 14 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 19721,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 9; l = s + 4; n = q + 4; g = z + 16; i = d + 5; d = g + 14; s = p + 16; p = w + 17; m = l + 18; q = i + 16; c = z + 16; t = n + 10; z = 14. If z = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 8", "y": "g + 12", "z": "y + 9", "d": "z + 18", "r": "d + 7", "n": "r + 17", "l": "k + 13", "w": "l + 3", "m": "w + 6", "h": "m + 11", "u": "h + 17", "v": "u + 15", "k": 1}, "premises": {"k": 1}, "target": "n"}, "answer": {"steps": [["r", "d + 7", "d + 24"], ["d", "z + 18", "z + 42"], ["z", "y + 9", "y + 51"], ["y", "g + 12", "g + 63"], ["g", "k + 8", "k + 71"], ["k", 1, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"k": 1}, "is_reverse": true}} | 19,722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 17; h = m + 11; l = k + 13; r = d + 7; k = 1; m = w + 6; n = r + 17; v = u + 15; g = k + 8; w = l + 3; z = y + 9; y = g + 12; d = z + 18. If k = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 7 to n, which gives n = d + 24.\n2. Substitute d = z + 18 to n, which gives n = z + 42.\n3. Substitute z = y + 9 to n, which gives n = y + 51.\n4. Substitute y = g + 12 to n, which gives n = g + 63.\n5. Substitute g = k + 8 to n, which gives n = k + 71.\n6. Substitute k = 1 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 19722,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 17; h = m + 11; l = k + 13; r = d + 7; k = 1; m = w + 6; n = r + 17; v = u + 15; g = k + 8; w = l + 3; z = y + 9; y = g + 12; d = z + 18. If k = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 6", "p": "r + 11", "f": "p + 3", "i": "f + 12", "q": "i + 15", "m": "q + 7", "d": "g + 10", "b": "d + 5", "l": "b + 8", "y": "l + 2", "x": "y + 5", "e": "x + 5", "g": 8}, "premises": {"g": 8}, "target": "m"}, "answer": {"steps": [["q", "i + 15", "i + 22"], ["i", "f + 12", "f + 34"], ["f", "p + 3", "p + 37"], ["p", "r + 11", "r + 48"], ["r", "g + 6", "g + 54"], ["g", 8, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"g": 8}, "is_reverse": true}} | 19,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 5; q = i + 15; d = g + 10; y = l + 2; r = g + 6; p = r + 11; l = b + 8; x = y + 5; b = d + 5; g = 8; m = q + 7; f = p + 3; i = f + 12. If g = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 15 to m, which gives m = i + 22.\n2. Substitute i = f + 12 to m, which gives m = f + 34.\n3. Substitute f = p + 3 to m, which gives m = p + 37.\n4. Substitute p = r + 11 to m, which gives m = r + 48.\n5. Substitute r = g + 6 to m, which gives m = g + 54.\n6. Substitute g = 8 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 19723,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 5; q = i + 15; d = g + 10; y = l + 2; r = g + 6; p = r + 11; l = b + 8; x = y + 5; b = d + 5; g = 8; m = q + 7; f = p + 3; i = f + 12. If g = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 9", "r": "y + 15", "c": "r + 2", "s": "c + 17", "m": "s + 8", "b": "m + 2", "j": "e + 3", "p": "j + 14", "i": "p + 10", "a": "i + 9", "l": "a + 3", "k": "l + 5", "e": 11}, "premises": {"e": 11}, "target": "b"}, "answer": {"steps": [["m", "s + 8", "s + 10"], ["s", "c + 17", "c + 27"], ["c", "r + 2", "r + 29"], ["r", "y + 15", "y + 44"], ["y", "e + 9", "e + 53"], ["e", 11, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"e": 11}, "is_reverse": true}} | 19,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = e + 3; b = m + 2; c = r + 2; m = s + 8; s = c + 17; e = 11; a = i + 9; k = l + 5; l = a + 3; p = j + 14; y = e + 9; r = y + 15; i = p + 10. Given that e = 11, 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 m = s + 8 to b, which gives b = s + 10.\n2. Substitute s = c + 17 to b, which gives b = c + 27.\n3. Substitute c = r + 2 to b, which gives b = r + 29.\n4. Substitute r = y + 15 to b, which gives b = y + 44.\n5. Substitute y = e + 9 to b, which gives b = e + 53.\n6. Substitute e = 11 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 19724,
"question": "Suppose a collection of variables is related by the following definitions: j = e + 3; b = m + 2; c = r + 2; m = s + 8; s = c + 17; e = 11; a = i + 9; k = l + 5; l = a + 3; p = j + 14; y = e + 9; r = y + 15; i = p + 10. Given that e = 11, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 20", "z": "h + 17", "c": "z + 16", "v": "c + 19", "e": "v + 7", "p": "e + 14", "s": "x + 14", "k": "s + 4", "y": "k + 16", "n": "y + 11", "r": "n + 19", "l": "r + 13", "x": 11}, "premises": {"x": 11}, "target": "p"}, "answer": {"steps": [["e", "v + 7", "v + 21"], ["v", "c + 19", "c + 40"], ["c", "z + 16", "z + 56"], ["z", "h + 17", "h + 73"], ["h", "x + 20", "x + 93"], ["x", 11, "104"]], "target_var_name": "p", "target_value": 104, "value_dict": {"x": 11}, "is_reverse": true}} | 19,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 13; e = v + 7; y = k + 16; k = s + 4; p = e + 14; c = z + 16; h = x + 20; x = 11; z = h + 17; r = n + 19; v = c + 19; n = y + 11; s = x + 14. Given that x = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 7 to p, which gives p = v + 21.\n2. Substitute v = c + 19 to p, which gives p = c + 40.\n3. Substitute c = z + 16 to p, which gives p = z + 56.\n4. Substitute z = h + 17 to p, which gives p = h + 73.\n5. Substitute h = x + 20 to p, which gives p = x + 93.\n6. Substitute x = 11 to p, which gives p = 104.\n\nThus, the final answer is p = \\boxed{104}.",
"index": 19725,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 13; e = v + 7; y = k + 16; k = s + 4; p = e + 14; c = z + 16; h = x + 20; x = 11; z = h + 17; r = n + 19; v = c + 19; n = y + 11; s = x + 14. Given that x = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 18", "u": "q + 13", "k": "u + 7", "w": "k + 19", "l": "w + 6", "c": "l + 3", "m": "y + 10", "f": "m + 6", "a": "f + 14", "e": "a + 7", "p": "e + 16", "x": "p + 17", "y": 5}, "premises": {"y": 5}, "target": "c"}, "answer": {"steps": [["l", "w + 6", "w + 9"], ["w", "k + 19", "k + 28"], ["k", "u + 7", "u + 35"], ["u", "q + 13", "q + 48"], ["q", "y + 18", "y + 66"], ["y", 5, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"y": 5}, "is_reverse": true}} | 19,726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = f + 14; m = y + 10; c = l + 3; p = e + 16; l = w + 6; f = m + 6; x = p + 17; k = u + 7; w = k + 19; q = y + 18; u = q + 13; y = 5; e = a + 7. Given that y = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 6 to c, which gives c = w + 9.\n2. Substitute w = k + 19 to c, which gives c = k + 28.\n3. Substitute k = u + 7 to c, which gives c = u + 35.\n4. Substitute u = q + 13 to c, which gives c = q + 48.\n5. Substitute q = y + 18 to c, which gives c = y + 66.\n6. Substitute y = 5 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 19726,
"question": "Suppose a collection of variables is related by the following definitions: a = f + 14; m = y + 10; c = l + 3; p = e + 16; l = w + 6; f = m + 6; x = p + 17; k = u + 7; w = k + 19; q = y + 18; u = q + 13; y = 5; e = a + 7. Given that y = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 11", "s": "n + 3", "v": "s + 10", "w": "v + 20", "h": "w + 13", "j": "h + 2", "t": "q + 18", "f": "t + 11", "p": "f + 17", "x": "p + 5", "o": "x + 17", "d": "o + 16", "q": 16}, "premises": {"q": 16}, "target": "j"}, "answer": {"steps": [["h", "w + 13", "w + 15"], ["w", "v + 20", "v + 35"], ["v", "s + 10", "s + 45"], ["s", "n + 3", "n + 48"], ["n", "q + 11", "q + 59"], ["q", 16, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"q": 16}, "is_reverse": true}} | 19,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 10; d = o + 16; h = w + 13; s = n + 3; w = v + 20; n = q + 11; p = f + 17; f = t + 11; x = p + 5; q = 16; t = q + 18; o = x + 17; j = h + 2. Given that q = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 13 to j, which gives j = w + 15.\n2. Substitute w = v + 20 to j, which gives j = v + 35.\n3. Substitute v = s + 10 to j, which gives j = s + 45.\n4. Substitute s = n + 3 to j, which gives j = n + 48.\n5. Substitute n = q + 11 to j, which gives j = q + 59.\n6. Substitute q = 16 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 19727,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 10; d = o + 16; h = w + 13; s = n + 3; w = v + 20; n = q + 11; p = f + 17; f = t + 11; x = p + 5; q = 16; t = q + 18; o = x + 17; j = h + 2. Given that q = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 1", "b": "o + 3", "a": "b + 15", "v": "a + 10", "n": "v + 19", "u": "n + 8", "p": "h + 4", "c": "p + 2", "e": "c + 14", "t": "e + 20", "j": "t + 16", "z": "j + 13", "h": 6}, "premises": {"h": 6}, "target": "u"}, "answer": {"steps": [["n", "v + 19", "v + 27"], ["v", "a + 10", "a + 37"], ["a", "b + 15", "b + 52"], ["b", "o + 3", "o + 55"], ["o", "h + 1", "h + 56"], ["h", 6, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"h": 6}, "is_reverse": true}} | 19,728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 1; j = t + 16; e = c + 14; v = a + 10; c = p + 2; u = n + 8; h = 6; p = h + 4; n = v + 19; a = b + 15; b = o + 3; t = e + 20; z = j + 13. If h = 6, determine the 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 n = v + 19 to u, which gives u = v + 27.\n2. Substitute v = a + 10 to u, which gives u = a + 37.\n3. Substitute a = b + 15 to u, which gives u = b + 52.\n4. Substitute b = o + 3 to u, which gives u = o + 55.\n5. Substitute o = h + 1 to u, which gives u = h + 56.\n6. Substitute h = 6 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 19728,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 1; j = t + 16; e = c + 14; v = a + 10; c = p + 2; u = n + 8; h = 6; p = h + 4; n = v + 19; a = b + 15; b = o + 3; t = e + 20; z = j + 13. If h = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 3", "c": "n + 8", "b": "c + 1", "x": "b + 20", "u": "x + 11", "a": "u + 10", "y": "v + 6", "f": "y + 19", "s": "f + 13", "p": "s + 19", "t": "p + 12", "m": "t + 15", "v": 20}, "premises": {"v": 20}, "target": "a"}, "answer": {"steps": [["u", "x + 11", "x + 21"], ["x", "b + 20", "b + 41"], ["b", "c + 1", "c + 42"], ["c", "n + 8", "n + 50"], ["n", "v + 3", "v + 53"], ["v", 20, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"v": 20}, "is_reverse": true}} | 19,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 19; s = f + 13; f = y + 19; v = 20; c = n + 8; b = c + 1; n = v + 3; x = b + 20; t = p + 12; y = v + 6; m = t + 15; u = x + 11; a = u + 10. If v = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 11 to a, which gives a = x + 21.\n2. Substitute x = b + 20 to a, which gives a = b + 41.\n3. Substitute b = c + 1 to a, which gives a = c + 42.\n4. Substitute c = n + 8 to a, which gives a = n + 50.\n5. Substitute n = v + 3 to a, which gives a = v + 53.\n6. Substitute v = 20 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 19729,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 19; s = f + 13; f = y + 19; v = 20; c = n + 8; b = c + 1; n = v + 3; x = b + 20; t = p + 12; y = v + 6; m = t + 15; u = x + 11; a = u + 10. If v = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 13", "f": "b + 3", "q": "f + 7", "k": "q + 5", "w": "k + 2", "h": "w + 17", "t": "e + 12", "g": "t + 9", "m": "g + 17", "n": "m + 3", "y": "n + 20", "i": "y + 7", "e": 9}, "premises": {"e": 9}, "target": "h"}, "answer": {"steps": [["w", "k + 2", "k + 19"], ["k", "q + 5", "q + 24"], ["q", "f + 7", "f + 31"], ["f", "b + 3", "b + 34"], ["b", "e + 13", "e + 47"], ["e", 9, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"e": 9}, "is_reverse": true}} | 19,730 | 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 = n + 20; h = w + 17; m = g + 17; t = e + 12; f = b + 3; q = f + 7; w = k + 2; b = e + 13; e = 9; g = t + 9; i = y + 7; n = m + 3; k = q + 5. If e = 9, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 2 to h, which gives h = k + 19.\n2. Substitute k = q + 5 to h, which gives h = q + 24.\n3. Substitute q = f + 7 to h, which gives h = f + 31.\n4. Substitute f = b + 3 to h, which gives h = b + 34.\n5. Substitute b = e + 13 to h, which gives h = e + 47.\n6. Substitute e = 9 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 19730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 20; h = w + 17; m = g + 17; t = e + 12; f = b + 3; q = f + 7; w = k + 2; b = e + 13; e = 9; g = t + 9; i = y + 7; n = m + 3; k = q + 5. If e = 9, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 15", "s": "p + 3", "f": "s + 4", "t": "f + 9", "g": "t + 17", "e": "g + 14", "j": "k + 12", "v": "j + 8", "l": "v + 16", "b": "l + 5", "m": "b + 9", "r": "m + 18", "k": 11}, "premises": {"k": 11}, "target": "e"}, "answer": {"steps": [["g", "t + 17", "t + 31"], ["t", "f + 9", "f + 40"], ["f", "s + 4", "s + 44"], ["s", "p + 3", "p + 47"], ["p", "k + 15", "k + 62"], ["k", 11, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"k": 11}, "is_reverse": true}} | 19,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = b + 9; k = 11; v = j + 8; p = k + 15; b = l + 5; j = k + 12; g = t + 17; s = p + 3; f = s + 4; e = g + 14; l = v + 16; t = f + 9; r = m + 18. If k = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 17 to e, which gives e = t + 31.\n2. Substitute t = f + 9 to e, which gives e = f + 40.\n3. Substitute f = s + 4 to e, which gives e = s + 44.\n4. Substitute s = p + 3 to e, which gives e = p + 47.\n5. Substitute p = k + 15 to e, which gives e = k + 62.\n6. Substitute k = 11 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 19731,
"question": "Consider a system of variables where each variable is defined as follows: m = b + 9; k = 11; v = j + 8; p = k + 15; b = l + 5; j = k + 12; g = t + 17; s = p + 3; f = s + 4; e = g + 14; l = v + 16; t = f + 9; r = m + 18. If k = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 9", "r": "s + 8", "p": "r + 11", "d": "p + 20", "f": "d + 11", "v": "f + 19", "i": "x + 12", "y": "i + 5", "o": "y + 4", "n": "o + 3", "w": "n + 15", "g": "w + 4", "x": 4}, "premises": {"x": 4}, "target": "v"}, "answer": {"steps": [["f", "d + 11", "d + 30"], ["d", "p + 20", "p + 50"], ["p", "r + 11", "r + 61"], ["r", "s + 8", "s + 69"], ["s", "x + 9", "x + 78"], ["x", 4, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"x": 4}, "is_reverse": true}} | 19,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 4; y = i + 5; n = o + 3; o = y + 4; f = d + 11; s = x + 9; w = n + 15; d = p + 20; p = r + 11; g = w + 4; i = x + 12; r = s + 8; v = f + 19. If x = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 11 to v, which gives v = d + 30.\n2. Substitute d = p + 20 to v, which gives v = p + 50.\n3. Substitute p = r + 11 to v, which gives v = r + 61.\n4. Substitute r = s + 8 to v, which gives v = s + 69.\n5. Substitute s = x + 9 to v, which gives v = x + 78.\n6. Substitute x = 4 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 19732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 4; y = i + 5; n = o + 3; o = y + 4; f = d + 11; s = x + 9; w = n + 15; d = p + 20; p = r + 11; g = w + 4; i = x + 12; r = s + 8; v = f + 19. If x = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 8", "l": "d + 19", "z": "l + 15", "u": "z + 4", "n": "u + 15", "a": "n + 10", "y": "h + 16", "j": "y + 15", "e": "j + 1", "k": "e + 12", "v": "k + 17", "m": "v + 18", "h": 14}, "premises": {"h": 14}, "target": "a"}, "answer": {"steps": [["n", "u + 15", "u + 25"], ["u", "z + 4", "z + 29"], ["z", "l + 15", "l + 44"], ["l", "d + 19", "d + 63"], ["d", "h + 8", "h + 71"], ["h", 14, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"h": 14}, "is_reverse": true}} | 19,733 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 15; u = z + 4; j = y + 15; m = v + 18; e = j + 1; a = n + 10; h = 14; d = h + 8; k = e + 12; l = d + 19; z = l + 15; y = h + 16; v = k + 17. Given that h = 14, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 15 to a, which gives a = u + 25.\n2. Substitute u = z + 4 to a, which gives a = z + 29.\n3. Substitute z = l + 15 to a, which gives a = l + 44.\n4. Substitute l = d + 19 to a, which gives a = d + 63.\n5. Substitute d = h + 8 to a, which gives a = h + 71.\n6. Substitute h = 14 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 19733,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 15; u = z + 4; j = y + 15; m = v + 18; e = j + 1; a = n + 10; h = 14; d = h + 8; k = e + 12; l = d + 19; z = l + 15; y = h + 16; v = k + 17. Given that h = 14, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 3", "p": "u + 5", "q": "p + 18", "i": "q + 19", "m": "i + 16", "w": "m + 2", "h": "z + 9", "s": "h + 1", "y": "s + 9", "v": "y + 10", "j": "v + 3", "f": "j + 11", "z": 5}, "premises": {"z": 5}, "target": "w"}, "answer": {"steps": [["m", "i + 16", "i + 18"], ["i", "q + 19", "q + 37"], ["q", "p + 18", "p + 55"], ["p", "u + 5", "u + 60"], ["u", "z + 3", "z + 63"], ["z", 5, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"z": 5}, "is_reverse": true}} | 19,734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 19; y = s + 9; v = y + 10; p = u + 5; z = 5; h = z + 9; s = h + 1; f = j + 11; m = i + 16; w = m + 2; j = v + 3; u = z + 3; q = p + 18. If z = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 16 to w, which gives w = i + 18.\n2. Substitute i = q + 19 to w, which gives w = q + 37.\n3. Substitute q = p + 18 to w, which gives w = p + 55.\n4. Substitute p = u + 5 to w, which gives w = u + 60.\n5. Substitute u = z + 3 to w, which gives w = z + 63.\n6. Substitute z = 5 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 19734,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 19; y = s + 9; v = y + 10; p = u + 5; z = 5; h = z + 9; s = h + 1; f = j + 11; m = i + 16; w = m + 2; j = v + 3; u = z + 3; q = p + 18. If z = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 4", "e": "p + 12", "z": "e + 19", "s": "z + 3", "c": "s + 3", "x": "c + 2", "g": "t + 14", "h": "g + 11", "d": "h + 10", "v": "d + 9", "l": "v + 7", "o": "l + 5", "t": 20}, "premises": {"t": 20}, "target": "x"}, "answer": {"steps": [["c", "s + 3", "s + 5"], ["s", "z + 3", "z + 8"], ["z", "e + 19", "e + 27"], ["e", "p + 12", "p + 39"], ["p", "t + 4", "t + 43"], ["t", 20, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"t": 20}, "is_reverse": true}} | 19,735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 2; e = p + 12; p = t + 4; s = z + 3; t = 20; z = e + 19; g = t + 14; l = v + 7; d = h + 10; c = s + 3; v = d + 9; o = l + 5; h = g + 11. If t = 20, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 3 to x, which gives x = s + 5.\n2. Substitute s = z + 3 to x, which gives x = z + 8.\n3. Substitute z = e + 19 to x, which gives x = e + 27.\n4. Substitute e = p + 12 to x, which gives x = p + 39.\n5. Substitute p = t + 4 to x, which gives x = t + 43.\n6. Substitute t = 20 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 19735,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 2; e = p + 12; p = t + 4; s = z + 3; t = 20; z = e + 19; g = t + 14; l = v + 7; d = h + 10; c = s + 3; v = d + 9; o = l + 5; h = g + 11. If t = 20, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 9", "u": "j + 3", "q": "u + 12", "i": "q + 8", "l": "i + 20", "w": "l + 10", "f": "c + 17", "k": "f + 4", "p": "k + 3", "y": "p + 2", "d": "y + 2", "t": "d + 12", "c": 15}, "premises": {"c": 15}, "target": "w"}, "answer": {"steps": [["l", "i + 20", "i + 30"], ["i", "q + 8", "q + 38"], ["q", "u + 12", "u + 50"], ["u", "j + 3", "j + 53"], ["j", "c + 9", "c + 62"], ["c", 15, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"c": 15}, "is_reverse": true}} | 19,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 12; t = d + 12; l = i + 20; i = q + 8; c = 15; u = j + 3; w = l + 10; y = p + 2; d = y + 2; f = c + 17; j = c + 9; k = f + 4; p = k + 3. Given that c = 15, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 20 to w, which gives w = i + 30.\n2. Substitute i = q + 8 to w, which gives w = q + 38.\n3. Substitute q = u + 12 to w, which gives w = u + 50.\n4. Substitute u = j + 3 to w, which gives w = j + 53.\n5. Substitute j = c + 9 to w, which gives w = c + 62.\n6. Substitute c = 15 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 19736,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 12; t = d + 12; l = i + 20; i = q + 8; c = 15; u = j + 3; w = l + 10; y = p + 2; d = y + 2; f = c + 17; j = c + 9; k = f + 4; p = k + 3. Given that c = 15, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 7", "e": "d + 15", "k": "e + 4", "h": "k + 14", "j": "h + 6", "t": "j + 18", "q": "g + 16", "l": "q + 11", "i": "l + 19", "v": "i + 11", "s": "v + 16", "o": "s + 16", "g": 10}, "premises": {"g": 10}, "target": "t"}, "answer": {"steps": [["j", "h + 6", "h + 24"], ["h", "k + 14", "k + 38"], ["k", "e + 4", "e + 42"], ["e", "d + 15", "d + 57"], ["d", "g + 7", "g + 64"], ["g", 10, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"g": 10}, "is_reverse": true}} | 19,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 19; k = e + 4; e = d + 15; h = k + 14; l = q + 11; t = j + 18; j = h + 6; o = s + 16; q = g + 16; v = i + 11; s = v + 16; d = g + 7; g = 10. If g = 10, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 6 to t, which gives t = h + 24.\n2. Substitute h = k + 14 to t, which gives t = k + 38.\n3. Substitute k = e + 4 to t, which gives t = e + 42.\n4. Substitute e = d + 15 to t, which gives t = d + 57.\n5. Substitute d = g + 7 to t, which gives t = g + 64.\n6. Substitute g = 10 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 19737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 19; k = e + 4; e = d + 15; h = k + 14; l = q + 11; t = j + 18; j = h + 6; o = s + 16; q = g + 16; v = i + 11; s = v + 16; d = g + 7; g = 10. If g = 10, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 1", "c": "a + 16", "q": "c + 10", "k": "q + 6", "p": "k + 8", "v": "p + 16", "t": "f + 12", "s": "t + 9", "g": "s + 20", "n": "g + 12", "i": "n + 20", "x": "i + 5", "f": 5}, "premises": {"f": 5}, "target": "v"}, "answer": {"steps": [["p", "k + 8", "k + 24"], ["k", "q + 6", "q + 30"], ["q", "c + 10", "c + 40"], ["c", "a + 16", "a + 56"], ["a", "f + 1", "f + 57"], ["f", 5, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"f": 5}, "is_reverse": true}} | 19,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = f + 12; p = k + 8; q = c + 10; i = n + 20; x = i + 5; s = t + 9; g = s + 20; k = q + 6; n = g + 12; v = p + 16; c = a + 16; f = 5; a = f + 1. Given that f = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 8 to v, which gives v = k + 24.\n2. Substitute k = q + 6 to v, which gives v = q + 30.\n3. Substitute q = c + 10 to v, which gives v = c + 40.\n4. Substitute c = a + 16 to v, which gives v = a + 56.\n5. Substitute a = f + 1 to v, which gives v = f + 57.\n6. Substitute f = 5 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 19738,
"question": "Suppose a collection of variables is related by the following definitions: t = f + 12; p = k + 8; q = c + 10; i = n + 20; x = i + 5; s = t + 9; g = s + 20; k = q + 6; n = g + 12; v = p + 16; c = a + 16; f = 5; a = f + 1. Given that f = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 2", "x": "n + 9", "b": "x + 5", "o": "b + 3", "c": "o + 6", "d": "c + 3", "l": "i + 12", "h": "l + 13", "t": "h + 4", "z": "t + 3", "u": "z + 7", "f": "u + 10", "i": 1}, "premises": {"i": 1}, "target": "d"}, "answer": {"steps": [["c", "o + 6", "o + 9"], ["o", "b + 3", "b + 12"], ["b", "x + 5", "x + 17"], ["x", "n + 9", "n + 26"], ["n", "i + 2", "i + 28"], ["i", 1, "29"]], "target_var_name": "d", "target_value": 29, "value_dict": {"i": 1}, "is_reverse": true}} | 19,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 1; l = i + 12; x = n + 9; b = x + 5; n = i + 2; f = u + 10; d = c + 3; h = l + 13; t = h + 4; c = o + 6; z = t + 3; u = z + 7; o = b + 3. If i = 1, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 29,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 6 to d, which gives d = o + 9.\n2. Substitute o = b + 3 to d, which gives d = b + 12.\n3. Substitute b = x + 5 to d, which gives d = x + 17.\n4. Substitute x = n + 9 to d, which gives d = n + 26.\n5. Substitute n = i + 2 to d, which gives d = i + 28.\n6. Substitute i = 1 to d, which gives d = 29.\n\nThus, the final answer is d = \\boxed{29}.",
"index": 19739,
"question": "Consider a system of variables where each variable is defined as follows: i = 1; l = i + 12; x = n + 9; b = x + 5; n = i + 2; f = u + 10; d = c + 3; h = l + 13; t = h + 4; c = o + 6; z = t + 3; u = z + 7; o = b + 3. If i = 1, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 6", "y": "x + 16", "j": "y + 7", "o": "j + 9", "l": "o + 9", "r": "l + 6", "m": "s + 6", "u": "m + 16", "a": "u + 6", "g": "a + 16", "n": "g + 7", "p": "n + 6", "s": 20}, "premises": {"s": 20}, "target": "r"}, "answer": {"steps": [["l", "o + 9", "o + 15"], ["o", "j + 9", "j + 24"], ["j", "y + 7", "y + 31"], ["y", "x + 16", "x + 47"], ["x", "s + 6", "s + 53"], ["s", 20, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"s": 20}, "is_reverse": true}} | 19,740 | 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 + 6; p = n + 6; r = l + 6; g = a + 16; s = 20; o = j + 9; l = o + 9; n = g + 7; x = s + 6; y = x + 16; m = s + 6; u = m + 16; j = y + 7. If s = 20, determine the 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 l = o + 9 to r, which gives r = o + 15.\n2. Substitute o = j + 9 to r, which gives r = j + 24.\n3. Substitute j = y + 7 to r, which gives r = y + 31.\n4. Substitute y = x + 16 to r, which gives r = x + 47.\n5. Substitute x = s + 6 to r, which gives r = s + 53.\n6. Substitute s = 20 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 19740,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 6; p = n + 6; r = l + 6; g = a + 16; s = 20; o = j + 9; l = o + 9; n = g + 7; x = s + 6; y = x + 16; m = s + 6; u = m + 16; j = y + 7. If s = 20, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 12", "m": "p + 15", "f": "m + 16", "w": "f + 4", "l": "w + 7", "i": "l + 19", "g": "x + 19", "u": "g + 16", "t": "u + 1", "z": "t + 8", "k": "z + 12", "v": "k + 1", "x": 6}, "premises": {"x": 6}, "target": "i"}, "answer": {"steps": [["l", "w + 7", "w + 26"], ["w", "f + 4", "f + 30"], ["f", "m + 16", "m + 46"], ["m", "p + 15", "p + 61"], ["p", "x + 12", "x + 73"], ["x", 6, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"x": 6}, "is_reverse": true}} | 19,741 | 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 = z + 12; t = u + 1; i = l + 19; l = w + 7; f = m + 16; m = p + 15; x = 6; z = t + 8; v = k + 1; g = x + 19; u = g + 16; w = f + 4; p = x + 12. If x = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 7 to i, which gives i = w + 26.\n2. Substitute w = f + 4 to i, which gives i = f + 30.\n3. Substitute f = m + 16 to i, which gives i = m + 46.\n4. Substitute m = p + 15 to i, which gives i = p + 61.\n5. Substitute p = x + 12 to i, which gives i = x + 73.\n6. Substitute x = 6 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 19741,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 12; t = u + 1; i = l + 19; l = w + 7; f = m + 16; m = p + 15; x = 6; z = t + 8; v = k + 1; g = x + 19; u = g + 16; w = f + 4; p = x + 12. If x = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 1", "z": "o + 1", "g": "z + 11", "w": "g + 18", "a": "w + 5", "n": "a + 16", "q": "f + 5", "j": "q + 13", "r": "j + 9", "b": "r + 16", "p": "b + 5", "y": "p + 19", "f": 6}, "premises": {"f": 6}, "target": "n"}, "answer": {"steps": [["a", "w + 5", "w + 21"], ["w", "g + 18", "g + 39"], ["g", "z + 11", "z + 50"], ["z", "o + 1", "o + 51"], ["o", "f + 1", "f + 52"], ["f", 6, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"f": 6}, "is_reverse": true}} | 19,742 | 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 = f + 1; y = p + 19; z = o + 1; b = r + 16; w = g + 18; g = z + 11; r = j + 9; f = 6; a = w + 5; q = f + 5; n = a + 16; j = q + 13; p = b + 5. If f = 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 = w + 5 to n, which gives n = w + 21.\n2. Substitute w = g + 18 to n, which gives n = g + 39.\n3. Substitute g = z + 11 to n, which gives n = z + 50.\n4. Substitute z = o + 1 to n, which gives n = o + 51.\n5. Substitute o = f + 1 to n, which gives n = f + 52.\n6. Substitute f = 6 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 19742,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 1; y = p + 19; z = o + 1; b = r + 16; w = g + 18; g = z + 11; r = j + 9; f = 6; a = w + 5; q = f + 5; n = a + 16; j = q + 13; p = b + 5. If f = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 14", "l": "y + 19", "j": "l + 19", "k": "j + 12", "i": "k + 12", "e": "i + 3", "s": "h + 8", "a": "s + 13", "v": "a + 2", "w": "v + 20", "b": "w + 20", "o": "b + 16", "h": 3}, "premises": {"h": 3}, "target": "e"}, "answer": {"steps": [["i", "k + 12", "k + 15"], ["k", "j + 12", "j + 27"], ["j", "l + 19", "l + 46"], ["l", "y + 19", "y + 65"], ["y", "h + 14", "h + 79"], ["h", 3, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"h": 3}, "is_reverse": true}} | 19,743 | 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 = v + 20; j = l + 19; h = 3; l = y + 19; y = h + 14; a = s + 13; v = a + 2; k = j + 12; i = k + 12; s = h + 8; o = b + 16; b = w + 20; e = i + 3. If h = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 12 to e, which gives e = k + 15.\n2. Substitute k = j + 12 to e, which gives e = j + 27.\n3. Substitute j = l + 19 to e, which gives e = l + 46.\n4. Substitute l = y + 19 to e, which gives e = y + 65.\n5. Substitute y = h + 14 to e, which gives e = h + 79.\n6. Substitute h = 3 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 19743,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = v + 20; j = l + 19; h = 3; l = y + 19; y = h + 14; a = s + 13; v = a + 2; k = j + 12; i = k + 12; s = h + 8; o = b + 16; b = w + 20; e = i + 3. If h = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 11", "f": "m + 20", "v": "f + 11", "h": "v + 4", "i": "h + 17", "u": "i + 13", "b": "n + 5", "z": "b + 3", "e": "z + 15", "y": "e + 8", "q": "y + 5", "k": "q + 5", "n": 12}, "premises": {"n": 12}, "target": "u"}, "answer": {"steps": [["i", "h + 17", "h + 30"], ["h", "v + 4", "v + 34"], ["v", "f + 11", "f + 45"], ["f", "m + 20", "m + 65"], ["m", "n + 11", "n + 76"], ["n", 12, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"n": 12}, "is_reverse": true}} | 19,744 | 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 = z + 15; z = b + 3; k = q + 5; m = n + 11; i = h + 17; b = n + 5; h = v + 4; f = m + 20; v = f + 11; q = y + 5; y = e + 8; n = 12; u = i + 13. If n = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 17 to u, which gives u = h + 30.\n2. Substitute h = v + 4 to u, which gives u = v + 34.\n3. Substitute v = f + 11 to u, which gives u = f + 45.\n4. Substitute f = m + 20 to u, which gives u = m + 65.\n5. Substitute m = n + 11 to u, which gives u = n + 76.\n6. Substitute n = 12 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 19744,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = z + 15; z = b + 3; k = q + 5; m = n + 11; i = h + 17; b = n + 5; h = v + 4; f = m + 20; v = f + 11; q = y + 5; y = e + 8; n = 12; u = i + 13. If n = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 6", "q": "z + 17", "y": "q + 16", "v": "y + 16", "t": "v + 19", "n": "t + 9", "f": "b + 14", "p": "f + 11", "m": "p + 11", "e": "m + 11", "x": "e + 5", "l": "x + 9", "b": 11}, "premises": {"b": 11}, "target": "n"}, "answer": {"steps": [["t", "v + 19", "v + 28"], ["v", "y + 16", "y + 44"], ["y", "q + 16", "q + 60"], ["q", "z + 17", "z + 77"], ["z", "b + 6", "b + 83"], ["b", 11, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"b": 11}, "is_reverse": true}} | 19,745 | 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 + 17; m = p + 11; n = t + 9; y = q + 16; z = b + 6; v = y + 16; b = 11; f = b + 14; p = f + 11; l = x + 9; t = v + 19; x = e + 5; e = m + 11. If b = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 19 to n, which gives n = v + 28.\n2. Substitute v = y + 16 to n, which gives n = y + 44.\n3. Substitute y = q + 16 to n, which gives n = q + 60.\n4. Substitute q = z + 17 to n, which gives n = z + 77.\n5. Substitute z = b + 6 to n, which gives n = b + 83.\n6. Substitute b = 11 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 19745,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 17; m = p + 11; n = t + 9; y = q + 16; z = b + 6; v = y + 16; b = 11; f = b + 14; p = f + 11; l = x + 9; t = v + 19; x = e + 5; e = m + 11. If b = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 13", "a": "z + 7", "b": "a + 19", "q": "b + 14", "r": "q + 9", "p": "r + 3", "k": "f + 5", "y": "k + 2", "x": "y + 18", "i": "x + 10", "j": "i + 20", "w": "j + 6", "f": 15}, "premises": {"f": 15}, "target": "p"}, "answer": {"steps": [["r", "q + 9", "q + 12"], ["q", "b + 14", "b + 26"], ["b", "a + 19", "a + 45"], ["a", "z + 7", "z + 52"], ["z", "f + 13", "f + 65"], ["f", 15, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"f": 15}, "is_reverse": true}} | 19,746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 5; f = 15; j = i + 20; w = j + 6; p = r + 3; q = b + 14; i = x + 10; y = k + 2; x = y + 18; b = a + 19; z = f + 13; r = q + 9; a = z + 7. Given that f = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 9 to p, which gives p = q + 12.\n2. Substitute q = b + 14 to p, which gives p = b + 26.\n3. Substitute b = a + 19 to p, which gives p = a + 45.\n4. Substitute a = z + 7 to p, which gives p = z + 52.\n5. Substitute z = f + 13 to p, which gives p = f + 65.\n6. Substitute f = 15 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 19746,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 5; f = 15; j = i + 20; w = j + 6; p = r + 3; q = b + 14; i = x + 10; y = k + 2; x = y + 18; b = a + 19; z = f + 13; r = q + 9; a = z + 7. Given that f = 15, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 3", "u": "h + 18", "d": "u + 15", "o": "d + 7", "y": "o + 16", "k": "y + 4", "s": "m + 7", "x": "s + 13", "t": "x + 2", "p": "t + 8", "e": "p + 14", "w": "e + 7", "m": 13}, "premises": {"m": 13}, "target": "k"}, "answer": {"steps": [["y", "o + 16", "o + 20"], ["o", "d + 7", "d + 27"], ["d", "u + 15", "u + 42"], ["u", "h + 18", "h + 60"], ["h", "m + 3", "m + 63"], ["m", 13, "76"]], "target_var_name": "k", "target_value": 76, "value_dict": {"m": 13}, "is_reverse": true}} | 19,747 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 18; t = x + 2; x = s + 13; y = o + 16; e = p + 14; s = m + 7; p = t + 8; w = e + 7; o = d + 7; d = u + 15; m = 13; k = y + 4; h = m + 3. Given that m = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 16 to k, which gives k = o + 20.\n2. Substitute o = d + 7 to k, which gives k = d + 27.\n3. Substitute d = u + 15 to k, which gives k = u + 42.\n4. Substitute u = h + 18 to k, which gives k = h + 60.\n5. Substitute h = m + 3 to k, which gives k = m + 63.\n6. Substitute m = 13 to k, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 19747,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 18; t = x + 2; x = s + 13; y = o + 16; e = p + 14; s = m + 7; p = t + 8; w = e + 7; o = d + 7; d = u + 15; m = 13; k = y + 4; h = m + 3. Given that m = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 13", "l": "z + 6", "i": "l + 9", "b": "i + 20", "d": "b + 10", "c": "d + 5", "s": "y + 12", "p": "s + 20", "w": "p + 14", "e": "w + 1", "k": "e + 16", "q": "k + 2", "y": 7}, "premises": {"y": 7}, "target": "c"}, "answer": {"steps": [["d", "b + 10", "b + 15"], ["b", "i + 20", "i + 35"], ["i", "l + 9", "l + 44"], ["l", "z + 6", "z + 50"], ["z", "y + 13", "y + 63"], ["y", 7, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"y": 7}, "is_reverse": true}} | 19,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = y + 13; b = i + 20; c = d + 5; i = l + 9; d = b + 10; p = s + 20; w = p + 14; s = y + 12; l = z + 6; k = e + 16; y = 7; q = k + 2; e = w + 1. Given that y = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 10 to c, which gives c = b + 15.\n2. Substitute b = i + 20 to c, which gives c = i + 35.\n3. Substitute i = l + 9 to c, which gives c = l + 44.\n4. Substitute l = z + 6 to c, which gives c = z + 50.\n5. Substitute z = y + 13 to c, which gives c = y + 63.\n6. Substitute y = 7 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 19748,
"question": "Suppose a collection of variables is related by the following definitions: z = y + 13; b = i + 20; c = d + 5; i = l + 9; d = b + 10; p = s + 20; w = p + 14; s = y + 12; l = z + 6; k = e + 16; y = 7; q = k + 2; e = w + 1. Given that y = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 17", "n": "h + 4", "c": "n + 16", "t": "c + 17", "w": "t + 7", "m": "w + 15", "j": "x + 3", "g": "j + 1", "y": "g + 8", "o": "y + 2", "q": "o + 1", "r": "q + 9", "x": 19}, "premises": {"x": 19}, "target": "m"}, "answer": {"steps": [["w", "t + 7", "t + 22"], ["t", "c + 17", "c + 39"], ["c", "n + 16", "n + 55"], ["n", "h + 4", "h + 59"], ["h", "x + 17", "x + 76"], ["x", 19, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"x": 19}, "is_reverse": true}} | 19,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 1; c = n + 16; r = q + 9; n = h + 4; w = t + 7; g = j + 1; h = x + 17; m = w + 15; x = 19; t = c + 17; y = g + 8; o = y + 2; j = x + 3. If x = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 7 to m, which gives m = t + 22.\n2. Substitute t = c + 17 to m, which gives m = c + 39.\n3. Substitute c = n + 16 to m, which gives m = n + 55.\n4. Substitute n = h + 4 to m, which gives m = h + 59.\n5. Substitute h = x + 17 to m, which gives m = x + 76.\n6. Substitute x = 19 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 19749,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 1; c = n + 16; r = q + 9; n = h + 4; w = t + 7; g = j + 1; h = x + 17; m = w + 15; x = 19; t = c + 17; y = g + 8; o = y + 2; j = x + 3. If x = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 17", "n": "i + 12", "u": "n + 7", "p": "u + 20", "b": "p + 4", "l": "b + 11", "j": "k + 1", "o": "j + 11", "r": "o + 4", "x": "r + 16", "h": "x + 11", "s": "h + 20", "k": 20}, "premises": {"k": 20}, "target": "l"}, "answer": {"steps": [["b", "p + 4", "p + 15"], ["p", "u + 20", "u + 35"], ["u", "n + 7", "n + 42"], ["n", "i + 12", "i + 54"], ["i", "k + 17", "k + 71"], ["k", 20, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"k": 20}, "is_reverse": true}} | 19,750 | 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 = i + 12; x = r + 16; b = p + 4; r = o + 4; o = j + 11; p = u + 20; k = 20; l = b + 11; h = x + 11; i = k + 17; s = h + 20; j = k + 1; u = n + 7. If k = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 4 to l, which gives l = p + 15.\n2. Substitute p = u + 20 to l, which gives l = u + 35.\n3. Substitute u = n + 7 to l, which gives l = n + 42.\n4. Substitute n = i + 12 to l, which gives l = i + 54.\n5. Substitute i = k + 17 to l, which gives l = k + 71.\n6. Substitute k = 20 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 19750,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 12; x = r + 16; b = p + 4; r = o + 4; o = j + 11; p = u + 20; k = 20; l = b + 11; h = x + 11; i = k + 17; s = h + 20; j = k + 1; u = n + 7. If k = 20, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 6", "s": "n + 18", "u": "s + 18", "a": "u + 11", "h": "a + 19", "t": "h + 8", "y": "w + 20", "f": "y + 17", "z": "f + 4", "o": "z + 4", "r": "o + 5", "m": "r + 19", "w": 2}, "premises": {"w": 2}, "target": "t"}, "answer": {"steps": [["h", "a + 19", "a + 27"], ["a", "u + 11", "u + 38"], ["u", "s + 18", "s + 56"], ["s", "n + 18", "n + 74"], ["n", "w + 6", "w + 80"], ["w", 2, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"w": 2}, "is_reverse": true}} | 19,751 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 4; n = w + 6; y = w + 20; z = f + 4; w = 2; r = o + 5; f = y + 17; a = u + 11; u = s + 18; h = a + 19; m = r + 19; t = h + 8; s = n + 18. Given that w = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 19 to t, which gives t = a + 27.\n2. Substitute a = u + 11 to t, which gives t = u + 38.\n3. Substitute u = s + 18 to t, which gives t = s + 56.\n4. Substitute s = n + 18 to t, which gives t = n + 74.\n5. Substitute n = w + 6 to t, which gives t = w + 80.\n6. Substitute w = 2 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 19751,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 4; n = w + 6; y = w + 20; z = f + 4; w = 2; r = o + 5; f = y + 17; a = u + 11; u = s + 18; h = a + 19; m = r + 19; t = h + 8; s = n + 18. Given that w = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 18", "m": "n + 20", "o": "m + 12", "b": "o + 14", "g": "b + 1", "k": "g + 8", "x": "c + 11", "h": "x + 16", "w": "h + 3", "q": "w + 14", "v": "q + 13", "l": "v + 12", "c": 7}, "premises": {"c": 7}, "target": "k"}, "answer": {"steps": [["g", "b + 1", "b + 9"], ["b", "o + 14", "o + 23"], ["o", "m + 12", "m + 35"], ["m", "n + 20", "n + 55"], ["n", "c + 18", "c + 73"], ["c", 7, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"c": 7}, "is_reverse": true}} | 19,752 | 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 = g + 8; w = h + 3; l = v + 12; g = b + 1; o = m + 12; b = o + 14; n = c + 18; m = n + 20; v = q + 13; q = w + 14; c = 7; x = c + 11; h = x + 16. If c = 7, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 1 to k, which gives k = b + 9.\n2. Substitute b = o + 14 to k, which gives k = o + 23.\n3. Substitute o = m + 12 to k, which gives k = m + 35.\n4. Substitute m = n + 20 to k, which gives k = n + 55.\n5. Substitute n = c + 18 to k, which gives k = c + 73.\n6. Substitute c = 7 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 19752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 8; w = h + 3; l = v + 12; g = b + 1; o = m + 12; b = o + 14; n = c + 18; m = n + 20; v = q + 13; q = w + 14; c = 7; x = c + 11; h = x + 16. If c = 7, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 17", "b": "k + 5", "r": "b + 3", "f": "r + 4", "d": "f + 3", "l": "d + 7", "y": "u + 2", "z": "y + 10", "x": "z + 1", "n": "x + 17", "p": "n + 3", "j": "p + 10", "u": 1}, "premises": {"u": 1}, "target": "l"}, "answer": {"steps": [["d", "f + 3", "f + 10"], ["f", "r + 4", "r + 14"], ["r", "b + 3", "b + 17"], ["b", "k + 5", "k + 22"], ["k", "u + 17", "u + 39"], ["u", 1, "40"]], "target_var_name": "l", "target_value": 40, "value_dict": {"u": 1}, "is_reverse": true}} | 19,753 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 1; p = n + 3; b = k + 5; k = u + 17; j = p + 10; u = 1; z = y + 10; y = u + 2; d = f + 3; f = r + 4; l = d + 7; n = x + 17; r = b + 3. Given that u = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 3 to l, which gives l = f + 10.\n2. Substitute f = r + 4 to l, which gives l = r + 14.\n3. Substitute r = b + 3 to l, which gives l = b + 17.\n4. Substitute b = k + 5 to l, which gives l = k + 22.\n5. Substitute k = u + 17 to l, which gives l = u + 39.\n6. Substitute u = 1 to l, which gives l = 40.\n\nThus, the final answer is l = \\boxed{40}.",
"index": 19753,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 1; p = n + 3; b = k + 5; k = u + 17; j = p + 10; u = 1; z = y + 10; y = u + 2; d = f + 3; f = r + 4; l = d + 7; n = x + 17; r = b + 3. Given that u = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 5", "e": "x + 12", "j": "e + 6", "t": "j + 13", "b": "t + 6", "y": "b + 14", "f": "p + 16", "s": "f + 13", "r": "s + 11", "w": "r + 14", "c": "w + 20", "v": "c + 16", "p": 18}, "premises": {"p": 18}, "target": "y"}, "answer": {"steps": [["b", "t + 6", "t + 20"], ["t", "j + 13", "j + 33"], ["j", "e + 6", "e + 39"], ["e", "x + 12", "x + 51"], ["x", "p + 5", "p + 56"], ["p", 18, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"p": 18}, "is_reverse": true}} | 19,754 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 5; p = 18; v = c + 16; t = j + 13; f = p + 16; w = r + 14; s = f + 13; r = s + 11; c = w + 20; j = e + 6; y = b + 14; e = x + 12; b = t + 6. If p = 18, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 6 to y, which gives y = t + 20.\n2. Substitute t = j + 13 to y, which gives y = j + 33.\n3. Substitute j = e + 6 to y, which gives y = e + 39.\n4. Substitute e = x + 12 to y, which gives y = x + 51.\n5. Substitute x = p + 5 to y, which gives y = p + 56.\n6. Substitute p = 18 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 19754,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = p + 5; p = 18; v = c + 16; t = j + 13; f = p + 16; w = r + 14; s = f + 13; r = s + 11; c = w + 20; j = e + 6; y = b + 14; e = x + 12; b = t + 6. If p = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 13", "f": "g + 13", "i": "f + 17", "z": "i + 11", "x": "z + 4", "j": "x + 14", "m": "c + 13", "o": "m + 7", "l": "o + 12", "k": "l + 11", "u": "k + 16", "a": "u + 2", "c": 5}, "premises": {"c": 5}, "target": "j"}, "answer": {"steps": [["x", "z + 4", "z + 18"], ["z", "i + 11", "i + 29"], ["i", "f + 17", "f + 46"], ["f", "g + 13", "g + 59"], ["g", "c + 13", "c + 72"], ["c", 5, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"c": 5}, "is_reverse": true}} | 19,755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 13; k = l + 11; m = c + 13; x = z + 4; g = c + 13; l = o + 12; z = i + 11; a = u + 2; j = x + 14; u = k + 16; i = f + 17; o = m + 7; c = 5. Given that c = 5, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 4 to j, which gives j = z + 18.\n2. Substitute z = i + 11 to j, which gives j = i + 29.\n3. Substitute i = f + 17 to j, which gives j = f + 46.\n4. Substitute f = g + 13 to j, which gives j = g + 59.\n5. Substitute g = c + 13 to j, which gives j = c + 72.\n6. Substitute c = 5 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 19755,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 13; k = l + 11; m = c + 13; x = z + 4; g = c + 13; l = o + 12; z = i + 11; a = u + 2; j = x + 14; u = k + 16; i = f + 17; o = m + 7; c = 5. Given that c = 5, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 17", "v": "r + 19", "t": "v + 19", "c": "t + 5", "y": "c + 16", "f": "y + 19", "m": "u + 12", "j": "m + 6", "n": "j + 3", "i": "n + 15", "h": "i + 8", "q": "h + 9", "u": 13}, "premises": {"u": 13}, "target": "f"}, "answer": {"steps": [["y", "c + 16", "c + 35"], ["c", "t + 5", "t + 40"], ["t", "v + 19", "v + 59"], ["v", "r + 19", "r + 78"], ["r", "u + 17", "u + 95"], ["u", 13, "108"]], "target_var_name": "f", "target_value": 108, "value_dict": {"u": 13}, "is_reverse": true}} | 19,756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 5; f = y + 19; m = u + 12; r = u + 17; h = i + 8; t = v + 19; j = m + 6; u = 13; n = j + 3; y = c + 16; i = n + 15; q = h + 9; v = r + 19. Given that u = 13, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 16 to f, which gives f = c + 35.\n2. Substitute c = t + 5 to f, which gives f = t + 40.\n3. Substitute t = v + 19 to f, which gives f = v + 59.\n4. Substitute v = r + 19 to f, which gives f = r + 78.\n5. Substitute r = u + 17 to f, which gives f = u + 95.\n6. Substitute u = 13 to f, which gives f = 108.\n\nThus, the final answer is f = \\boxed{108}.",
"index": 19756,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 5; f = y + 19; m = u + 12; r = u + 17; h = i + 8; t = v + 19; j = m + 6; u = 13; n = j + 3; y = c + 16; i = n + 15; q = h + 9; v = r + 19. Given that u = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 4", "i": "w + 20", "s": "i + 3", "a": "s + 15", "k": "a + 18", "j": "k + 13", "x": "g + 18", "e": "x + 18", "d": "e + 17", "h": "d + 18", "q": "h + 11", "r": "q + 5", "g": 5}, "premises": {"g": 5}, "target": "j"}, "answer": {"steps": [["k", "a + 18", "a + 31"], ["a", "s + 15", "s + 46"], ["s", "i + 3", "i + 49"], ["i", "w + 20", "w + 69"], ["w", "g + 4", "g + 73"], ["g", 5, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"g": 5}, "is_reverse": true}} | 19,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = i + 3; a = s + 15; g = 5; i = w + 20; d = e + 17; j = k + 13; r = q + 5; w = g + 4; h = d + 18; q = h + 11; e = x + 18; x = g + 18; k = a + 18. If g = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 18 to j, which gives j = a + 31.\n2. Substitute a = s + 15 to j, which gives j = s + 46.\n3. Substitute s = i + 3 to j, which gives j = i + 49.\n4. Substitute i = w + 20 to j, which gives j = w + 69.\n5. Substitute w = g + 4 to j, which gives j = g + 73.\n6. Substitute g = 5 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 19757,
"question": "Consider a system of variables where each variable is defined as follows: s = i + 3; a = s + 15; g = 5; i = w + 20; d = e + 17; j = k + 13; r = q + 5; w = g + 4; h = d + 18; q = h + 11; e = x + 18; x = g + 18; k = a + 18. If g = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 11", "y": "g + 9", "o": "y + 6", "r": "o + 17", "v": "r + 16", "e": "v + 9", "l": "s + 3", "p": "l + 18", "m": "p + 11", "q": "m + 16", "i": "q + 13", "k": "i + 14", "s": 6}, "premises": {"s": 6}, "target": "e"}, "answer": {"steps": [["v", "r + 16", "r + 25"], ["r", "o + 17", "o + 42"], ["o", "y + 6", "y + 48"], ["y", "g + 9", "g + 57"], ["g", "s + 11", "s + 68"], ["s", 6, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"s": 6}, "is_reverse": true}} | 19,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 16; o = y + 6; s = 6; i = q + 13; y = g + 9; l = s + 3; m = p + 11; r = o + 17; g = s + 11; k = i + 14; p = l + 18; e = v + 9; v = r + 16. If s = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 16 to e, which gives e = r + 25.\n2. Substitute r = o + 17 to e, which gives e = o + 42.\n3. Substitute o = y + 6 to e, which gives e = y + 48.\n4. Substitute y = g + 9 to e, which gives e = g + 57.\n5. Substitute g = s + 11 to e, which gives e = s + 68.\n6. Substitute s = 6 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 19758,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 16; o = y + 6; s = 6; i = q + 13; y = g + 9; l = s + 3; m = p + 11; r = o + 17; g = s + 11; k = i + 14; p = l + 18; e = v + 9; v = r + 16. If s = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 1", "s": "c + 9", "r": "s + 8", "x": "r + 2", "k": "x + 5", "w": "k + 7", "m": "q + 13", "g": "m + 11", "i": "g + 14", "f": "i + 19", "h": "f + 17", "d": "h + 17", "q": 16}, "premises": {"q": 16}, "target": "w"}, "answer": {"steps": [["k", "x + 5", "x + 12"], ["x", "r + 2", "r + 14"], ["r", "s + 8", "s + 22"], ["s", "c + 9", "c + 31"], ["c", "q + 1", "q + 32"], ["q", 16, "48"]], "target_var_name": "w", "target_value": 48, "value_dict": {"q": 16}, "is_reverse": true}} | 19,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 17; r = s + 8; f = i + 19; k = x + 5; q = 16; w = k + 7; h = f + 17; c = q + 1; x = r + 2; m = q + 13; s = c + 9; g = m + 11; i = g + 14. Given that q = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 5 to w, which gives w = x + 12.\n2. Substitute x = r + 2 to w, which gives w = r + 14.\n3. Substitute r = s + 8 to w, which gives w = s + 22.\n4. Substitute s = c + 9 to w, which gives w = c + 31.\n5. Substitute c = q + 1 to w, which gives w = q + 32.\n6. Substitute q = 16 to w, which gives w = 48.\n\nThus, the final answer is w = \\boxed{48}.",
"index": 19759,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 17; r = s + 8; f = i + 19; k = x + 5; q = 16; w = k + 7; h = f + 17; c = q + 1; x = r + 2; m = q + 13; s = c + 9; g = m + 11; i = g + 14. Given that q = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 3", "x": "n + 4", "c": "x + 4", "d": "c + 16", "g": "d + 3", "w": "g + 13", "b": "u + 20", "v": "b + 10", "e": "v + 5", "y": "e + 14", "o": "y + 3", "r": "o + 6", "u": 1}, "premises": {"u": 1}, "target": "w"}, "answer": {"steps": [["g", "d + 3", "d + 16"], ["d", "c + 16", "c + 32"], ["c", "x + 4", "x + 36"], ["x", "n + 4", "n + 40"], ["n", "u + 3", "u + 43"], ["u", 1, "44"]], "target_var_name": "w", "target_value": 44, "value_dict": {"u": 1}, "is_reverse": true}} | 19,760 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 13; v = b + 10; x = n + 4; n = u + 3; d = c + 16; r = o + 6; g = d + 3; o = y + 3; c = x + 4; b = u + 20; e = v + 5; u = 1; y = e + 14. If u = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 3 to w, which gives w = d + 16.\n2. Substitute d = c + 16 to w, which gives w = c + 32.\n3. Substitute c = x + 4 to w, which gives w = x + 36.\n4. Substitute x = n + 4 to w, which gives w = n + 40.\n5. Substitute n = u + 3 to w, which gives w = u + 43.\n6. Substitute u = 1 to w, which gives w = 44.\n\nThus, the final answer is w = \\boxed{44}.",
"index": 19760,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 13; v = b + 10; x = n + 4; n = u + 3; d = c + 16; r = o + 6; g = d + 3; o = y + 3; c = x + 4; b = u + 20; e = v + 5; u = 1; y = e + 14. If u = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 18", "b": "h + 17", "k": "b + 7", "r": "k + 14", "o": "r + 15", "s": "o + 11", "m": "w + 3", "v": "m + 2", "u": "v + 14", "c": "u + 11", "x": "c + 3", "g": "x + 19", "w": 13}, "premises": {"w": 13}, "target": "s"}, "answer": {"steps": [["o", "r + 15", "r + 26"], ["r", "k + 14", "k + 40"], ["k", "b + 7", "b + 47"], ["b", "h + 17", "h + 64"], ["h", "w + 18", "w + 82"], ["w", 13, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"w": 13}, "is_reverse": true}} | 19,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 19; u = v + 14; o = r + 15; m = w + 3; h = w + 18; v = m + 2; r = k + 14; s = o + 11; w = 13; k = b + 7; c = u + 11; b = h + 17; x = c + 3. Given that w = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 15 to s, which gives s = r + 26.\n2. Substitute r = k + 14 to s, which gives s = k + 40.\n3. Substitute k = b + 7 to s, which gives s = b + 47.\n4. Substitute b = h + 17 to s, which gives s = h + 64.\n5. Substitute h = w + 18 to s, which gives s = w + 82.\n6. Substitute w = 13 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 19761,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 19; u = v + 14; o = r + 15; m = w + 3; h = w + 18; v = m + 2; r = k + 14; s = o + 11; w = 13; k = b + 7; c = u + 11; b = h + 17; x = c + 3. Given that w = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 18", "f": "s + 1", "v": "f + 12", "z": "v + 13", "w": "z + 8", "g": "w + 14", "i": "o + 2", "m": "i + 7", "c": "m + 16", "u": "c + 12", "t": "u + 17", "p": "t + 9", "o": 4}, "premises": {"o": 4}, "target": "g"}, "answer": {"steps": [["w", "z + 8", "z + 22"], ["z", "v + 13", "v + 35"], ["v", "f + 12", "f + 47"], ["f", "s + 1", "s + 48"], ["s", "o + 18", "o + 66"], ["o", 4, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"o": 4}, "is_reverse": true}} | 19,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = c + 12; p = t + 9; f = s + 1; g = w + 14; m = i + 7; z = v + 13; v = f + 12; c = m + 16; w = z + 8; i = o + 2; o = 4; t = u + 17; s = o + 18. If o = 4, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 8 to g, which gives g = z + 22.\n2. Substitute z = v + 13 to g, which gives g = v + 35.\n3. Substitute v = f + 12 to g, which gives g = f + 47.\n4. Substitute f = s + 1 to g, which gives g = s + 48.\n5. Substitute s = o + 18 to g, which gives g = o + 66.\n6. Substitute o = 4 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 19762,
"question": "Consider a system of variables where each variable is defined as follows: u = c + 12; p = t + 9; f = s + 1; g = w + 14; m = i + 7; z = v + 13; v = f + 12; c = m + 16; w = z + 8; i = o + 2; o = 4; t = u + 17; s = o + 18. If o = 4, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 20", "s": "o + 7", "u": "s + 1", "x": "u + 6", "k": "x + 17", "r": "k + 12", "j": "w + 18", "p": "j + 6", "v": "p + 20", "e": "v + 16", "a": "e + 12", "g": "a + 17", "w": 7}, "premises": {"w": 7}, "target": "r"}, "answer": {"steps": [["k", "x + 17", "x + 29"], ["x", "u + 6", "u + 35"], ["u", "s + 1", "s + 36"], ["s", "o + 7", "o + 43"], ["o", "w + 20", "w + 63"], ["w", 7, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"w": 7}, "is_reverse": true}} | 19,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = u + 6; v = p + 20; p = j + 6; k = x + 17; a = e + 12; j = w + 18; r = k + 12; s = o + 7; o = w + 20; e = v + 16; w = 7; u = s + 1; g = a + 17. If w = 7, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 17 to r, which gives r = x + 29.\n2. Substitute x = u + 6 to r, which gives r = u + 35.\n3. Substitute u = s + 1 to r, which gives r = s + 36.\n4. Substitute s = o + 7 to r, which gives r = o + 43.\n5. Substitute o = w + 20 to r, which gives r = w + 63.\n6. Substitute w = 7 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 19763,
"question": "Consider a system of variables where each variable is defined as follows: x = u + 6; v = p + 20; p = j + 6; k = x + 17; a = e + 12; j = w + 18; r = k + 12; s = o + 7; o = w + 20; e = v + 16; w = 7; u = s + 1; g = a + 17. If w = 7, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 9", "w": "a + 20", "x": "w + 10", "n": "x + 2", "k": "n + 15", "t": "k + 14", "p": "r + 15", "s": "p + 8", "m": "s + 11", "h": "m + 12", "e": "h + 17", "b": "e + 9", "r": 1}, "premises": {"r": 1}, "target": "t"}, "answer": {"steps": [["k", "n + 15", "n + 29"], ["n", "x + 2", "x + 31"], ["x", "w + 10", "w + 41"], ["w", "a + 20", "a + 61"], ["a", "r + 9", "r + 70"], ["r", 1, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"r": 1}, "is_reverse": true}} | 19,764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 11; p = r + 15; r = 1; a = r + 9; n = x + 2; w = a + 20; x = w + 10; h = m + 12; b = e + 9; s = p + 8; k = n + 15; t = k + 14; e = h + 17. If r = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 15 to t, which gives t = n + 29.\n2. Substitute n = x + 2 to t, which gives t = x + 31.\n3. Substitute x = w + 10 to t, which gives t = w + 41.\n4. Substitute w = a + 20 to t, which gives t = a + 61.\n5. Substitute a = r + 9 to t, which gives t = r + 70.\n6. Substitute r = 1 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 19764,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 11; p = r + 15; r = 1; a = r + 9; n = x + 2; w = a + 20; x = w + 10; h = m + 12; b = e + 9; s = p + 8; k = n + 15; t = k + 14; e = h + 17. If r = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 6", "c": "t + 3", "d": "c + 13", "f": "d + 20", "s": "f + 17", "w": "s + 5", "m": "l + 8", "u": "m + 7", "x": "u + 2", "y": "x + 20", "i": "y + 1", "a": "i + 13", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["s", "f + 17", "f + 22"], ["f", "d + 20", "d + 42"], ["d", "c + 13", "c + 55"], ["c", "t + 3", "t + 58"], ["t", "l + 6", "l + 64"], ["l", 10, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"l": 10}, "is_reverse": true}} | 19,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = i + 13; f = d + 20; d = c + 13; i = y + 1; y = x + 20; s = f + 17; x = u + 2; t = l + 6; c = t + 3; w = s + 5; u = m + 7; l = 10; m = l + 8. Given that l = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 17 to w, which gives w = f + 22.\n2. Substitute f = d + 20 to w, which gives w = d + 42.\n3. Substitute d = c + 13 to w, which gives w = c + 55.\n4. Substitute c = t + 3 to w, which gives w = t + 58.\n5. Substitute t = l + 6 to w, which gives w = l + 64.\n6. Substitute l = 10 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 19765,
"question": "Suppose a collection of variables is related by the following definitions: a = i + 13; f = d + 20; d = c + 13; i = y + 1; y = x + 20; s = f + 17; x = u + 2; t = l + 6; c = t + 3; w = s + 5; u = m + 7; l = 10; m = l + 8. Given that l = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 11", "o": "u + 14", "g": "o + 13", "q": "g + 3", "a": "q + 15", "b": "a + 14", "d": "h + 9", "z": "d + 11", "f": "z + 15", "p": "f + 3", "r": "p + 19", "t": "r + 15", "h": 9}, "premises": {"h": 9}, "target": "b"}, "answer": {"steps": [["a", "q + 15", "q + 29"], ["q", "g + 3", "g + 32"], ["g", "o + 13", "o + 45"], ["o", "u + 14", "u + 59"], ["u", "h + 11", "h + 70"], ["h", 9, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"h": 9}, "is_reverse": true}} | 19,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 11; q = g + 3; r = p + 19; u = h + 11; b = a + 14; d = h + 9; o = u + 14; p = f + 3; a = q + 15; t = r + 15; h = 9; g = o + 13; f = z + 15. If h = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 15 to b, which gives b = q + 29.\n2. Substitute q = g + 3 to b, which gives b = g + 32.\n3. Substitute g = o + 13 to b, which gives b = o + 45.\n4. Substitute o = u + 14 to b, which gives b = u + 59.\n5. Substitute u = h + 11 to b, which gives b = h + 70.\n6. Substitute h = 9 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 19766,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 11; q = g + 3; r = p + 19; u = h + 11; b = a + 14; d = h + 9; o = u + 14; p = f + 3; a = q + 15; t = r + 15; h = 9; g = o + 13; f = z + 15. If h = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 6", "r": "f + 10", "x": "r + 17", "t": "x + 14", "z": "t + 20", "n": "z + 16", "h": "k + 17", "j": "h + 15", "m": "j + 2", "a": "m + 1", "d": "a + 3", "g": "d + 4", "k": 5}, "premises": {"k": 5}, "target": "n"}, "answer": {"steps": [["z", "t + 20", "t + 36"], ["t", "x + 14", "x + 50"], ["x", "r + 17", "r + 67"], ["r", "f + 10", "f + 77"], ["f", "k + 6", "k + 83"], ["k", 5, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"k": 5}, "is_reverse": true}} | 19,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = j + 2; z = t + 20; t = x + 14; j = h + 15; x = r + 17; a = m + 1; k = 5; h = k + 17; r = f + 10; n = z + 16; d = a + 3; g = d + 4; f = k + 6. Given that k = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 20 to n, which gives n = t + 36.\n2. Substitute t = x + 14 to n, which gives n = x + 50.\n3. Substitute x = r + 17 to n, which gives n = r + 67.\n4. Substitute r = f + 10 to n, which gives n = f + 77.\n5. Substitute f = k + 6 to n, which gives n = k + 83.\n6. Substitute k = 5 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 19767,
"question": "Suppose a collection of variables is related by the following definitions: m = j + 2; z = t + 20; t = x + 14; j = h + 15; x = r + 17; a = m + 1; k = 5; h = k + 17; r = f + 10; n = z + 16; d = a + 3; g = d + 4; f = k + 6. Given that k = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 8", "q": "y + 12", "w": "q + 5", "b": "w + 8", "k": "b + 6", "u": "k + 14", "m": "r + 1", "j": "m + 6", "n": "j + 4", "z": "n + 17", "h": "z + 11", "v": "h + 11", "r": 12}, "premises": {"r": 12}, "target": "u"}, "answer": {"steps": [["k", "b + 6", "b + 20"], ["b", "w + 8", "w + 28"], ["w", "q + 5", "q + 33"], ["q", "y + 12", "y + 45"], ["y", "r + 8", "r + 53"], ["r", 12, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"r": 12}, "is_reverse": true}} | 19,768 | 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 = m + 6; w = q + 5; v = h + 11; b = w + 8; y = r + 8; u = k + 14; z = n + 17; r = 12; n = j + 4; m = r + 1; k = b + 6; h = z + 11; q = y + 12. If r = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 6 to u, which gives u = b + 20.\n2. Substitute b = w + 8 to u, which gives u = w + 28.\n3. Substitute w = q + 5 to u, which gives u = q + 33.\n4. Substitute q = y + 12 to u, which gives u = y + 45.\n5. Substitute y = r + 8 to u, which gives u = r + 53.\n6. Substitute r = 12 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 19768,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 6; w = q + 5; v = h + 11; b = w + 8; y = r + 8; u = k + 14; z = n + 17; r = 12; n = j + 4; m = r + 1; k = b + 6; h = z + 11; q = y + 12. If r = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 1", "d": "q + 19", "t": "d + 13", "l": "t + 9", "w": "l + 15", "j": "w + 9", "b": "e + 9", "g": "b + 18", "a": "g + 18", "i": "a + 5", "n": "i + 6", "u": "n + 13", "e": 19}, "premises": {"e": 19}, "target": "j"}, "answer": {"steps": [["w", "l + 15", "l + 24"], ["l", "t + 9", "t + 33"], ["t", "d + 13", "d + 46"], ["d", "q + 19", "q + 65"], ["q", "e + 1", "e + 66"], ["e", 19, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"e": 19}, "is_reverse": true}} | 19,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 13; e = 19; n = i + 6; i = a + 5; u = n + 13; a = g + 18; g = b + 18; d = q + 19; q = e + 1; w = l + 15; j = w + 9; l = t + 9; b = e + 9. If e = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 15 to j, which gives j = l + 24.\n2. Substitute l = t + 9 to j, which gives j = t + 33.\n3. Substitute t = d + 13 to j, which gives j = d + 46.\n4. Substitute d = q + 19 to j, which gives j = q + 65.\n5. Substitute q = e + 1 to j, which gives j = e + 66.\n6. Substitute e = 19 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 19769,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 13; e = 19; n = i + 6; i = a + 5; u = n + 13; a = g + 18; g = b + 18; d = q + 19; q = e + 1; w = l + 15; j = w + 9; l = t + 9; b = e + 9. If e = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 7", "p": "v + 16", "h": "p + 6", "f": "h + 15", "b": "f + 3", "q": "b + 8", "j": "u + 2", "m": "j + 4", "d": "m + 15", "z": "d + 11", "a": "z + 8", "n": "a + 14", "u": 6}, "premises": {"u": 6}, "target": "q"}, "answer": {"steps": [["b", "f + 3", "f + 11"], ["f", "h + 15", "h + 26"], ["h", "p + 6", "p + 32"], ["p", "v + 16", "v + 48"], ["v", "u + 7", "u + 55"], ["u", 6, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"u": 6}, "is_reverse": true}} | 19,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 16; v = u + 7; b = f + 3; f = h + 15; n = a + 14; u = 6; q = b + 8; a = z + 8; d = m + 15; m = j + 4; h = p + 6; z = d + 11; j = u + 2. Given that u = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 3 to q, which gives q = f + 11.\n2. Substitute f = h + 15 to q, which gives q = h + 26.\n3. Substitute h = p + 6 to q, which gives q = p + 32.\n4. Substitute p = v + 16 to q, which gives q = v + 48.\n5. Substitute v = u + 7 to q, which gives q = u + 55.\n6. Substitute u = 6 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 19770,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 16; v = u + 7; b = f + 3; f = h + 15; n = a + 14; u = 6; q = b + 8; a = z + 8; d = m + 15; m = j + 4; h = p + 6; z = d + 11; j = u + 2. Given that u = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 12", "i": "e + 11", "u": "i + 19", "p": "u + 4", "q": "p + 4", "z": "q + 7", "k": "c + 13", "n": "k + 12", "y": "n + 1", "a": "y + 15", "h": "a + 17", "b": "h + 3", "c": 13}, "premises": {"c": 13}, "target": "z"}, "answer": {"steps": [["q", "p + 4", "p + 11"], ["p", "u + 4", "u + 15"], ["u", "i + 19", "i + 34"], ["i", "e + 11", "e + 45"], ["e", "c + 12", "c + 57"], ["c", 13, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"c": 13}, "is_reverse": true}} | 19,771 | 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 + 4; h = a + 17; b = h + 3; z = q + 7; c = 13; u = i + 19; i = e + 11; n = k + 12; q = p + 4; k = c + 13; e = c + 12; y = n + 1; a = y + 15. If c = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 4 to z, which gives z = p + 11.\n2. Substitute p = u + 4 to z, which gives z = u + 15.\n3. Substitute u = i + 19 to z, which gives z = i + 34.\n4. Substitute i = e + 11 to z, which gives z = e + 45.\n5. Substitute e = c + 12 to z, which gives z = c + 57.\n6. Substitute c = 13 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 19771,
"question": "Consider a system of variables where each variable is defined as follows: p = u + 4; h = a + 17; b = h + 3; z = q + 7; c = 13; u = i + 19; i = e + 11; n = k + 12; q = p + 4; k = c + 13; e = c + 12; y = n + 1; a = y + 15. If c = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 10", "k": "z + 8", "b": "k + 7", "r": "b + 3", "j": "r + 10", "t": "j + 12", "o": "x + 12", "g": "o + 3", "a": "g + 12", "y": "a + 19", "v": "y + 18", "d": "v + 19", "x": 9}, "premises": {"x": 9}, "target": "t"}, "answer": {"steps": [["j", "r + 10", "r + 22"], ["r", "b + 3", "b + 25"], ["b", "k + 7", "k + 32"], ["k", "z + 8", "z + 40"], ["z", "x + 10", "x + 50"], ["x", 9, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"x": 9}, "is_reverse": true}} | 19,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 10; g = o + 3; o = x + 12; k = z + 8; v = y + 18; y = a + 19; d = v + 19; r = b + 3; a = g + 12; b = k + 7; x = 9; z = x + 10; t = j + 12. If x = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 10 to t, which gives t = r + 22.\n2. Substitute r = b + 3 to t, which gives t = b + 25.\n3. Substitute b = k + 7 to t, which gives t = k + 32.\n4. Substitute k = z + 8 to t, which gives t = z + 40.\n5. Substitute z = x + 10 to t, which gives t = x + 50.\n6. Substitute x = 9 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 19772,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 10; g = o + 3; o = x + 12; k = z + 8; v = y + 18; y = a + 19; d = v + 19; r = b + 3; a = g + 12; b = k + 7; x = 9; z = x + 10; t = j + 12. If x = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 5", "d": "h + 15", "y": "d + 6", "b": "y + 9", "x": "b + 16", "j": "x + 20", "t": "c + 3", "n": "t + 6", "l": "n + 11", "q": "l + 6", "g": "q + 2", "u": "g + 16", "c": 7}, "premises": {"c": 7}, "target": "j"}, "answer": {"steps": [["x", "b + 16", "b + 36"], ["b", "y + 9", "y + 45"], ["y", "d + 6", "d + 51"], ["d", "h + 15", "h + 66"], ["h", "c + 5", "c + 71"], ["c", 7, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"c": 7}, "is_reverse": true}} | 19,773 | 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 = q + 2; x = b + 16; u = g + 16; d = h + 15; n = t + 6; t = c + 3; l = n + 11; h = c + 5; j = x + 20; q = l + 6; c = 7; y = d + 6; b = y + 9. If c = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 16 to j, which gives j = b + 36.\n2. Substitute b = y + 9 to j, which gives j = y + 45.\n3. Substitute y = d + 6 to j, which gives j = d + 51.\n4. Substitute d = h + 15 to j, which gives j = h + 66.\n5. Substitute h = c + 5 to j, which gives j = c + 71.\n6. Substitute c = 7 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 19773,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 2; x = b + 16; u = g + 16; d = h + 15; n = t + 6; t = c + 3; l = n + 11; h = c + 5; j = x + 20; q = l + 6; c = 7; y = d + 6; b = y + 9. If c = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 5", "w": "i + 9", "p": "w + 4", "h": "p + 9", "t": "h + 10", "c": "t + 2", "m": "n + 6", "a": "m + 7", "y": "a + 8", "g": "y + 20", "e": "g + 3", "u": "e + 12", "n": 4}, "premises": {"n": 4}, "target": "c"}, "answer": {"steps": [["t", "h + 10", "h + 12"], ["h", "p + 9", "p + 21"], ["p", "w + 4", "w + 25"], ["w", "i + 9", "i + 34"], ["i", "n + 5", "n + 39"], ["n", 4, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"n": 4}, "is_reverse": true}} | 19,774 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; t = h + 10; p = w + 4; g = y + 20; h = p + 9; m = n + 6; n = 4; e = g + 3; y = a + 8; a = m + 7; u = e + 12; w = i + 9; c = t + 2. If n = 4, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 10 to c, which gives c = h + 12.\n2. Substitute h = p + 9 to c, which gives c = p + 21.\n3. Substitute p = w + 4 to c, which gives c = w + 25.\n4. Substitute w = i + 9 to c, which gives c = i + 34.\n5. Substitute i = n + 5 to c, which gives c = n + 39.\n6. Substitute n = 4 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 19774,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; t = h + 10; p = w + 4; g = y + 20; h = p + 9; m = n + 6; n = 4; e = g + 3; y = a + 8; a = m + 7; u = e + 12; w = i + 9; c = t + 2. If n = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 14", "a": "c + 12", "e": "a + 17", "k": "e + 15", "r": "k + 6", "o": "r + 4", "v": "t + 19", "s": "v + 19", "z": "s + 17", "d": "z + 20", "h": "d + 12", "p": "h + 18", "t": 18}, "premises": {"t": 18}, "target": "o"}, "answer": {"steps": [["r", "k + 6", "k + 10"], ["k", "e + 15", "e + 25"], ["e", "a + 17", "a + 42"], ["a", "c + 12", "c + 54"], ["c", "t + 14", "t + 68"], ["t", 18, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"t": 18}, "is_reverse": true}} | 19,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 20; v = t + 19; t = 18; h = d + 12; z = s + 17; k = e + 15; o = r + 4; e = a + 17; s = v + 19; a = c + 12; r = k + 6; p = h + 18; c = t + 14. If t = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 6 to o, which gives o = k + 10.\n2. Substitute k = e + 15 to o, which gives o = e + 25.\n3. Substitute e = a + 17 to o, which gives o = a + 42.\n4. Substitute a = c + 12 to o, which gives o = c + 54.\n5. Substitute c = t + 14 to o, which gives o = t + 68.\n6. Substitute t = 18 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 19775,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 20; v = t + 19; t = 18; h = d + 12; z = s + 17; k = e + 15; o = r + 4; e = a + 17; s = v + 19; a = c + 12; r = k + 6; p = h + 18; c = t + 14. If t = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 18", "i": "j + 5", "t": "i + 19", "r": "t + 6", "d": "r + 17", "g": "d + 19", "c": "x + 15", "y": "c + 13", "k": "y + 18", "w": "k + 8", "n": "w + 17", "s": "n + 1", "x": 6}, "premises": {"x": 6}, "target": "g"}, "answer": {"steps": [["d", "r + 17", "r + 36"], ["r", "t + 6", "t + 42"], ["t", "i + 19", "i + 61"], ["i", "j + 5", "j + 66"], ["j", "x + 18", "x + 84"], ["x", 6, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"x": 6}, "is_reverse": true}} | 19,776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 5; k = y + 18; y = c + 13; x = 6; j = x + 18; s = n + 1; t = i + 19; r = t + 6; d = r + 17; c = x + 15; g = d + 19; n = w + 17; w = k + 8. Given that x = 6, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 17 to g, which gives g = r + 36.\n2. Substitute r = t + 6 to g, which gives g = t + 42.\n3. Substitute t = i + 19 to g, which gives g = i + 61.\n4. Substitute i = j + 5 to g, which gives g = j + 66.\n5. Substitute j = x + 18 to g, which gives g = x + 84.\n6. Substitute x = 6 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 19776,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 5; k = y + 18; y = c + 13; x = 6; j = x + 18; s = n + 1; t = i + 19; r = t + 6; d = r + 17; c = x + 15; g = d + 19; n = w + 17; w = k + 8. Given that x = 6, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 15", "m": "n + 14", "w": "m + 14", "d": "w + 13", "e": "d + 20", "a": "e + 15", "f": "y + 11", "r": "f + 11", "b": "r + 15", "g": "b + 8", "v": "g + 19", "c": "v + 20", "y": 16}, "premises": {"y": 16}, "target": "a"}, "answer": {"steps": [["e", "d + 20", "d + 35"], ["d", "w + 13", "w + 48"], ["w", "m + 14", "m + 62"], ["m", "n + 14", "n + 76"], ["n", "y + 15", "y + 91"], ["y", 16, "107"]], "target_var_name": "a", "target_value": 107, "value_dict": {"y": 16}, "is_reverse": true}} | 19,777 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = w + 13; e = d + 20; m = n + 14; w = m + 14; c = v + 20; r = f + 11; g = b + 8; y = 16; v = g + 19; b = r + 15; n = y + 15; a = e + 15; f = y + 11. Given that y = 16, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 20 to a, which gives a = d + 35.\n2. Substitute d = w + 13 to a, which gives a = w + 48.\n3. Substitute w = m + 14 to a, which gives a = m + 62.\n4. Substitute m = n + 14 to a, which gives a = n + 76.\n5. Substitute n = y + 15 to a, which gives a = y + 91.\n6. Substitute y = 16 to a, which gives a = 107.\n\nThus, the final answer is a = \\boxed{107}.",
"index": 19777,
"question": "Suppose a collection of variables is related by the following definitions: d = w + 13; e = d + 20; m = n + 14; w = m + 14; c = v + 20; r = f + 11; g = b + 8; y = 16; v = g + 19; b = r + 15; n = y + 15; a = e + 15; f = y + 11. Given that y = 16, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 19", "d": "i + 3", "z": "d + 4", "p": "z + 14", "y": "p + 7", "g": "y + 4", "m": "c + 20", "x": "m + 3", "u": "x + 1", "s": "u + 12", "e": "s + 10", "n": "e + 2", "c": 13}, "premises": {"c": 13}, "target": "g"}, "answer": {"steps": [["y", "p + 7", "p + 11"], ["p", "z + 14", "z + 25"], ["z", "d + 4", "d + 29"], ["d", "i + 3", "i + 32"], ["i", "c + 19", "c + 51"], ["c", 13, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"c": 13}, "is_reverse": true}} | 19,778 | 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 = e + 2; y = p + 7; p = z + 14; i = c + 19; d = i + 3; u = x + 1; m = c + 20; e = s + 10; x = m + 3; g = y + 4; c = 13; s = u + 12; z = d + 4. If c = 13, what is the resulting 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 y = p + 7 to g, which gives g = p + 11.\n2. Substitute p = z + 14 to g, which gives g = z + 25.\n3. Substitute z = d + 4 to g, which gives g = d + 29.\n4. Substitute d = i + 3 to g, which gives g = i + 32.\n5. Substitute i = c + 19 to g, which gives g = c + 51.\n6. Substitute c = 13 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 19778,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 2; y = p + 7; p = z + 14; i = c + 19; d = i + 3; u = x + 1; m = c + 20; e = s + 10; x = m + 3; g = y + 4; c = 13; s = u + 12; z = d + 4. If c = 13, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 11", "b": "m + 8", "y": "b + 12", "r": "y + 5", "u": "r + 10", "d": "u + 4", "z": "c + 17", "j": "z + 19", "l": "j + 7", "h": "l + 8", "p": "h + 6", "s": "p + 19", "c": 14}, "premises": {"c": 14}, "target": "d"}, "answer": {"steps": [["u", "r + 10", "r + 14"], ["r", "y + 5", "y + 19"], ["y", "b + 12", "b + 31"], ["b", "m + 8", "m + 39"], ["m", "c + 11", "c + 50"], ["c", 14, "64"]], "target_var_name": "d", "target_value": 64, "value_dict": {"c": 14}, "is_reverse": true}} | 19,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 6; l = j + 7; h = l + 8; m = c + 11; u = r + 10; c = 14; z = c + 17; y = b + 12; s = p + 19; j = z + 19; b = m + 8; r = y + 5; d = u + 4. Given that c = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 10 to d, which gives d = r + 14.\n2. Substitute r = y + 5 to d, which gives d = y + 19.\n3. Substitute y = b + 12 to d, which gives d = b + 31.\n4. Substitute b = m + 8 to d, which gives d = m + 39.\n5. Substitute m = c + 11 to d, which gives d = c + 50.\n6. Substitute c = 14 to d, which gives d = 64.\n\nThus, the final answer is d = \\boxed{64}.",
"index": 19779,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 6; l = j + 7; h = l + 8; m = c + 11; u = r + 10; c = 14; z = c + 17; y = b + 12; s = p + 19; j = z + 19; b = m + 8; r = y + 5; d = u + 4. Given that c = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 17", "r": "i + 18", "j": "r + 14", "g": "j + 16", "q": "g + 5", "f": "q + 10", "p": "c + 20", "l": "p + 19", "d": "l + 13", "y": "d + 10", "t": "y + 6", "z": "t + 14", "c": 5}, "premises": {"c": 5}, "target": "f"}, "answer": {"steps": [["q", "g + 5", "g + 15"], ["g", "j + 16", "j + 31"], ["j", "r + 14", "r + 45"], ["r", "i + 18", "i + 63"], ["i", "c + 17", "c + 80"], ["c", 5, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"c": 5}, "is_reverse": true}} | 19,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 5; c = 5; z = t + 14; f = q + 10; r = i + 18; l = p + 19; d = l + 13; g = j + 16; p = c + 20; t = y + 6; y = d + 10; i = c + 17; j = r + 14. If c = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 5 to f, which gives f = g + 15.\n2. Substitute g = j + 16 to f, which gives f = j + 31.\n3. Substitute j = r + 14 to f, which gives f = r + 45.\n4. Substitute r = i + 18 to f, which gives f = i + 63.\n5. Substitute i = c + 17 to f, which gives f = c + 80.\n6. Substitute c = 5 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 19780,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 5; c = 5; z = t + 14; f = q + 10; r = i + 18; l = p + 19; d = l + 13; g = j + 16; p = c + 20; t = y + 6; y = d + 10; i = c + 17; j = r + 14. If c = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "k + 19", "m": "i + 5", "n": "m + 1", "v": "n + 3", "r": "v + 5", "j": "r + 7", "b": "k + 1", "z": "b + 14", "x": "z + 8", "p": "x + 4", "y": "p + 5", "w": "y + 8", "k": 5}, "premises": {"k": 5}, "target": "j"}, "answer": {"steps": [["r", "v + 5", "v + 12"], ["v", "n + 3", "n + 15"], ["n", "m + 1", "m + 16"], ["m", "i + 5", "i + 21"], ["i", "k + 19", "k + 40"], ["k", 5, "45"]], "target_var_name": "j", "target_value": 45, "value_dict": {"k": 5}, "is_reverse": true}} | 19,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = m + 1; w = y + 8; y = p + 5; i = k + 19; j = r + 7; b = k + 1; z = b + 14; v = n + 3; x = z + 8; k = 5; m = i + 5; p = x + 4; r = v + 5. If k = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 5 to j, which gives j = v + 12.\n2. Substitute v = n + 3 to j, which gives j = n + 15.\n3. Substitute n = m + 1 to j, which gives j = m + 16.\n4. Substitute m = i + 5 to j, which gives j = i + 21.\n5. Substitute i = k + 19 to j, which gives j = k + 40.\n6. Substitute k = 5 to j, which gives j = 45.\n\nThus, the final answer is j = \\boxed{45}.",
"index": 19781,
"question": "Consider a system of variables where each variable is defined as follows: n = m + 1; w = y + 8; y = p + 5; i = k + 19; j = r + 7; b = k + 1; z = b + 14; v = n + 3; x = z + 8; k = 5; m = i + 5; p = x + 4; r = v + 5. If k = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 8", "u": "p + 16", "o": "u + 13", "h": "o + 4", "n": "h + 18", "e": "n + 17", "f": "g + 15", "l": "f + 20", "s": "l + 5", "v": "s + 5", "k": "v + 17", "j": "k + 16", "g": 10}, "premises": {"g": 10}, "target": "e"}, "answer": {"steps": [["n", "h + 18", "h + 35"], ["h", "o + 4", "o + 39"], ["o", "u + 13", "u + 52"], ["u", "p + 16", "p + 68"], ["p", "g + 8", "g + 76"], ["g", 10, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"g": 10}, "is_reverse": true}} | 19,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 16; h = o + 4; l = f + 20; o = u + 13; g = 10; p = g + 8; e = n + 17; k = v + 17; n = h + 18; s = l + 5; f = g + 15; j = k + 16; v = s + 5. Given that g = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 18 to e, which gives e = h + 35.\n2. Substitute h = o + 4 to e, which gives e = o + 39.\n3. Substitute o = u + 13 to e, which gives e = u + 52.\n4. Substitute u = p + 16 to e, which gives e = p + 68.\n5. Substitute p = g + 8 to e, which gives e = g + 76.\n6. Substitute g = 10 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 19782,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 16; h = o + 4; l = f + 20; o = u + 13; g = 10; p = g + 8; e = n + 17; k = v + 17; n = h + 18; s = l + 5; f = g + 15; j = k + 16; v = s + 5. Given that g = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 4", "e": "u + 4", "x": "e + 13", "d": "x + 5", "o": "d + 9", "m": "o + 8", "p": "q + 10", "v": "p + 1", "h": "v + 1", "i": "h + 17", "k": "i + 15", "l": "k + 2", "q": 15}, "premises": {"q": 15}, "target": "m"}, "answer": {"steps": [["o", "d + 9", "d + 17"], ["d", "x + 5", "x + 22"], ["x", "e + 13", "e + 35"], ["e", "u + 4", "u + 39"], ["u", "q + 4", "q + 43"], ["q", 15, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"q": 15}, "is_reverse": true}} | 19,783 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 1; e = u + 4; p = q + 10; u = q + 4; q = 15; v = p + 1; i = h + 17; l = k + 2; x = e + 13; d = x + 5; o = d + 9; m = o + 8; k = i + 15. Given that q = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 9 to m, which gives m = d + 17.\n2. Substitute d = x + 5 to m, which gives m = x + 22.\n3. Substitute x = e + 13 to m, which gives m = e + 35.\n4. Substitute e = u + 4 to m, which gives m = u + 39.\n5. Substitute u = q + 4 to m, which gives m = q + 43.\n6. Substitute q = 15 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 19783,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 1; e = u + 4; p = q + 10; u = q + 4; q = 15; v = p + 1; i = h + 17; l = k + 2; x = e + 13; d = x + 5; o = d + 9; m = o + 8; k = i + 15. Given that q = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 12", "w": "c + 11", "l": "w + 19", "m": "l + 2", "b": "m + 7", "u": "b + 10", "a": "p + 17", "e": "a + 12", "d": "e + 18", "x": "d + 3", "k": "x + 17", "i": "k + 9", "p": 10}, "premises": {"p": 10}, "target": "u"}, "answer": {"steps": [["b", "m + 7", "m + 17"], ["m", "l + 2", "l + 19"], ["l", "w + 19", "w + 38"], ["w", "c + 11", "c + 49"], ["c", "p + 12", "p + 61"], ["p", 10, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"p": 10}, "is_reverse": true}} | 19,784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 11; d = e + 18; b = m + 7; k = x + 17; e = a + 12; x = d + 3; i = k + 9; p = 10; a = p + 17; u = b + 10; c = p + 12; m = l + 2; l = w + 19. Given that p = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 7 to u, which gives u = m + 17.\n2. Substitute m = l + 2 to u, which gives u = l + 19.\n3. Substitute l = w + 19 to u, which gives u = w + 38.\n4. Substitute w = c + 11 to u, which gives u = c + 49.\n5. Substitute c = p + 12 to u, which gives u = p + 61.\n6. Substitute p = 10 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 19784,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 11; d = e + 18; b = m + 7; k = x + 17; e = a + 12; x = d + 3; i = k + 9; p = 10; a = p + 17; u = b + 10; c = p + 12; m = l + 2; l = w + 19. Given that p = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 9", "f": "i + 9", "d": "f + 20", "j": "d + 11", "k": "j + 4", "a": "k + 10", "l": "x + 6", "o": "l + 20", "g": "o + 11", "h": "g + 7", "n": "h + 12", "e": "n + 14", "x": 20}, "premises": {"x": 20}, "target": "a"}, "answer": {"steps": [["k", "j + 4", "j + 14"], ["j", "d + 11", "d + 25"], ["d", "f + 20", "f + 45"], ["f", "i + 9", "i + 54"], ["i", "x + 9", "x + 63"], ["x", 20, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"x": 20}, "is_reverse": true}} | 19,785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 6; d = f + 20; g = o + 11; k = j + 4; a = k + 10; f = i + 9; x = 20; n = h + 12; o = l + 20; i = x + 9; e = n + 14; j = d + 11; h = g + 7. Given that x = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 4 to a, which gives a = j + 14.\n2. Substitute j = d + 11 to a, which gives a = d + 25.\n3. Substitute d = f + 20 to a, which gives a = f + 45.\n4. Substitute f = i + 9 to a, which gives a = i + 54.\n5. Substitute i = x + 9 to a, which gives a = x + 63.\n6. Substitute x = 20 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 19785,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 6; d = f + 20; g = o + 11; k = j + 4; a = k + 10; f = i + 9; x = 20; n = h + 12; o = l + 20; i = x + 9; e = n + 14; j = d + 11; h = g + 7. Given that x = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 10", "e": "l + 11", "k": "e + 18", "w": "k + 5", "d": "w + 16", "g": "d + 1", "t": "y + 5", "n": "t + 8", "i": "n + 14", "b": "i + 12", "v": "b + 11", "p": "v + 7", "y": 8}, "premises": {"y": 8}, "target": "g"}, "answer": {"steps": [["d", "w + 16", "w + 17"], ["w", "k + 5", "k + 22"], ["k", "e + 18", "e + 40"], ["e", "l + 11", "l + 51"], ["l", "y + 10", "y + 61"], ["y", 8, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"y": 8}, "is_reverse": true}} | 19,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 1; d = w + 16; l = y + 10; n = t + 8; e = l + 11; y = 8; k = e + 18; p = v + 7; v = b + 11; b = i + 12; t = y + 5; i = n + 14; w = k + 5. If y = 8, determine the 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 = w + 16 to g, which gives g = w + 17.\n2. Substitute w = k + 5 to g, which gives g = k + 22.\n3. Substitute k = e + 18 to g, which gives g = e + 40.\n4. Substitute e = l + 11 to g, which gives g = l + 51.\n5. Substitute l = y + 10 to g, which gives g = y + 61.\n6. Substitute y = 8 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 19786,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 1; d = w + 16; l = y + 10; n = t + 8; e = l + 11; y = 8; k = e + 18; p = v + 7; v = b + 11; b = i + 12; t = y + 5; i = n + 14; w = k + 5. If y = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 18", "d": "h + 2", "c": "d + 8", "l": "c + 15", "s": "l + 18", "x": "s + 18", "o": "w + 1", "y": "o + 9", "m": "y + 17", "i": "m + 4", "f": "i + 8", "n": "f + 11", "w": 5}, "premises": {"w": 5}, "target": "x"}, "answer": {"steps": [["s", "l + 18", "l + 36"], ["l", "c + 15", "c + 51"], ["c", "d + 8", "d + 59"], ["d", "h + 2", "h + 61"], ["h", "w + 18", "w + 79"], ["w", 5, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"w": 5}, "is_reverse": true}} | 19,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 17; s = l + 18; x = s + 18; c = d + 8; l = c + 15; n = f + 11; f = i + 8; o = w + 1; h = w + 18; w = 5; i = m + 4; d = h + 2; y = o + 9. If w = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 18 to x, which gives x = l + 36.\n2. Substitute l = c + 15 to x, which gives x = c + 51.\n3. Substitute c = d + 8 to x, which gives x = d + 59.\n4. Substitute d = h + 2 to x, which gives x = h + 61.\n5. Substitute h = w + 18 to x, which gives x = w + 79.\n6. Substitute w = 5 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 19787,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 17; s = l + 18; x = s + 18; c = d + 8; l = c + 15; n = f + 11; f = i + 8; o = w + 1; h = w + 18; w = 5; i = m + 4; d = h + 2; y = o + 9. If w = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 4", "f": "m + 12", "d": "f + 7", "u": "d + 3", "r": "u + 19", "q": "r + 13", "h": "c + 6", "z": "h + 15", "b": "z + 3", "y": "b + 15", "o": "y + 7", "p": "o + 5", "c": 4}, "premises": {"c": 4}, "target": "q"}, "answer": {"steps": [["r", "u + 19", "u + 32"], ["u", "d + 3", "d + 35"], ["d", "f + 7", "f + 42"], ["f", "m + 12", "m + 54"], ["m", "c + 4", "c + 58"], ["c", 4, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"c": 4}, "is_reverse": true}} | 19,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = 4; m = c + 4; d = f + 7; r = u + 19; h = c + 6; b = z + 3; o = y + 7; q = r + 13; f = m + 12; y = b + 15; p = o + 5; z = h + 15; u = d + 3. If c = 4, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 19 to q, which gives q = u + 32.\n2. Substitute u = d + 3 to q, which gives q = d + 35.\n3. Substitute d = f + 7 to q, which gives q = f + 42.\n4. Substitute f = m + 12 to q, which gives q = m + 54.\n5. Substitute m = c + 4 to q, which gives q = c + 58.\n6. Substitute c = 4 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 19788,
"question": "Consider a system of variables where each variable is defined as follows: c = 4; m = c + 4; d = f + 7; r = u + 19; h = c + 6; b = z + 3; o = y + 7; q = r + 13; f = m + 12; y = b + 15; p = o + 5; z = h + 15; u = d + 3. If c = 4, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 5", "s": "l + 3", "z": "s + 3", "u": "z + 5", "f": "u + 5", "t": "f + 9", "m": "q + 7", "h": "m + 9", "j": "h + 5", "d": "j + 6", "n": "d + 15", "k": "n + 3", "q": 11}, "premises": {"q": 11}, "target": "t"}, "answer": {"steps": [["f", "u + 5", "u + 14"], ["u", "z + 5", "z + 19"], ["z", "s + 3", "s + 22"], ["s", "l + 3", "l + 25"], ["l", "q + 5", "q + 30"], ["q", 11, "41"]], "target_var_name": "t", "target_value": 41, "value_dict": {"q": 11}, "is_reverse": true}} | 19,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 6; j = h + 5; l = q + 5; u = z + 5; k = n + 3; q = 11; s = l + 3; f = u + 5; t = f + 9; n = d + 15; m = q + 7; z = s + 3; h = m + 9. If q = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 5 to t, which gives t = u + 14.\n2. Substitute u = z + 5 to t, which gives t = z + 19.\n3. Substitute z = s + 3 to t, which gives t = s + 22.\n4. Substitute s = l + 3 to t, which gives t = l + 25.\n5. Substitute l = q + 5 to t, which gives t = q + 30.\n6. Substitute q = 11 to t, which gives t = 41.\n\nThus, the final answer is t = \\boxed{41}.",
"index": 19789,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = j + 6; j = h + 5; l = q + 5; u = z + 5; k = n + 3; q = 11; s = l + 3; f = u + 5; t = f + 9; n = d + 15; m = q + 7; z = s + 3; h = m + 9. If q = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 2", "v": "u + 17", "s": "v + 18", "n": "s + 19", "d": "n + 1", "p": "d + 2", "r": "k + 9", "z": "r + 6", "t": "z + 1", "x": "t + 13", "a": "x + 8", "j": "a + 15", "k": 19}, "premises": {"k": 19}, "target": "p"}, "answer": {"steps": [["d", "n + 1", "n + 3"], ["n", "s + 19", "s + 22"], ["s", "v + 18", "v + 40"], ["v", "u + 17", "u + 57"], ["u", "k + 2", "k + 59"], ["k", 19, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"k": 19}, "is_reverse": true}} | 19,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 8; t = z + 1; u = k + 2; s = v + 18; j = a + 15; p = d + 2; d = n + 1; v = u + 17; z = r + 6; k = 19; r = k + 9; n = s + 19; x = t + 13. Given that k = 19, find the 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 d = n + 1 to p, which gives p = n + 3.\n2. Substitute n = s + 19 to p, which gives p = s + 22.\n3. Substitute s = v + 18 to p, which gives p = v + 40.\n4. Substitute v = u + 17 to p, which gives p = u + 57.\n5. Substitute u = k + 2 to p, which gives p = k + 59.\n6. Substitute k = 19 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 19790,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 8; t = z + 1; u = k + 2; s = v + 18; j = a + 15; p = d + 2; d = n + 1; v = u + 17; z = r + 6; k = 19; r = k + 9; n = s + 19; x = t + 13. Given that k = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 15", "s": "b + 20", "e": "s + 14", "j": "e + 16", "x": "j + 16", "c": "x + 16", "u": "m + 10", "l": "u + 5", "p": "l + 12", "f": "p + 5", "q": "f + 20", "k": "q + 2", "m": 13}, "premises": {"m": 13}, "target": "c"}, "answer": {"steps": [["x", "j + 16", "j + 32"], ["j", "e + 16", "e + 48"], ["e", "s + 14", "s + 62"], ["s", "b + 20", "b + 82"], ["b", "m + 15", "m + 97"], ["m", 13, "110"]], "target_var_name": "c", "target_value": 110, "value_dict": {"m": 13}, "is_reverse": true}} | 19,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 5; l = u + 5; m = 13; e = s + 14; j = e + 16; s = b + 20; x = j + 16; q = f + 20; u = m + 10; p = l + 12; c = x + 16; b = m + 15; k = q + 2. If m = 13, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 16 to c, which gives c = j + 32.\n2. Substitute j = e + 16 to c, which gives c = e + 48.\n3. Substitute e = s + 14 to c, which gives c = s + 62.\n4. Substitute s = b + 20 to c, which gives c = b + 82.\n5. Substitute b = m + 15 to c, which gives c = m + 97.\n6. Substitute m = 13 to c, which gives c = 110.\n\nThus, the final answer is c = \\boxed{110}.",
"index": 19791,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 5; l = u + 5; m = 13; e = s + 14; j = e + 16; s = b + 20; x = j + 16; q = f + 20; u = m + 10; p = l + 12; c = x + 16; b = m + 15; k = q + 2. If m = 13, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 11", "r": "q + 16", "x": "r + 9", "p": "x + 15", "h": "p + 9", "f": "h + 8", "s": "b + 16", "y": "s + 4", "e": "y + 7", "w": "e + 1", "c": "w + 10", "j": "c + 3", "b": 20}, "premises": {"b": 20}, "target": "f"}, "answer": {"steps": [["h", "p + 9", "p + 17"], ["p", "x + 15", "x + 32"], ["x", "r + 9", "r + 41"], ["r", "q + 16", "q + 57"], ["q", "b + 11", "b + 68"], ["b", 20, "88"]], "target_var_name": "f", "target_value": 88, "value_dict": {"b": 20}, "is_reverse": true}} | 19,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 7; f = h + 8; h = p + 9; s = b + 16; b = 20; q = b + 11; w = e + 1; p = x + 15; y = s + 4; x = r + 9; c = w + 10; j = c + 3; r = q + 16. If b = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 9 to f, which gives f = p + 17.\n2. Substitute p = x + 15 to f, which gives f = x + 32.\n3. Substitute x = r + 9 to f, which gives f = r + 41.\n4. Substitute r = q + 16 to f, which gives f = q + 57.\n5. Substitute q = b + 11 to f, which gives f = b + 68.\n6. Substitute b = 20 to f, which gives f = 88.\n\nThus, the final answer is f = \\boxed{88}.",
"index": 19792,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 7; f = h + 8; h = p + 9; s = b + 16; b = 20; q = b + 11; w = e + 1; p = x + 15; y = s + 4; x = r + 9; c = w + 10; j = c + 3; r = q + 16. If b = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 12", "w": "p + 18", "i": "w + 7", "d": "i + 10", "g": "d + 14", "s": "g + 8", "f": "h + 5", "z": "f + 18", "x": "z + 1", "t": "x + 8", "e": "t + 6", "j": "e + 17", "h": 8}, "premises": {"h": 8}, "target": "s"}, "answer": {"steps": [["g", "d + 14", "d + 22"], ["d", "i + 10", "i + 32"], ["i", "w + 7", "w + 39"], ["w", "p + 18", "p + 57"], ["p", "h + 12", "h + 69"], ["h", 8, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"h": 8}, "is_reverse": true}} | 19,793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 1; p = h + 12; h = 8; j = e + 17; i = w + 7; d = i + 10; e = t + 6; s = g + 8; w = p + 18; g = d + 14; t = x + 8; f = h + 5; z = f + 18. If h = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 14 to s, which gives s = d + 22.\n2. Substitute d = i + 10 to s, which gives s = i + 32.\n3. Substitute i = w + 7 to s, which gives s = w + 39.\n4. Substitute w = p + 18 to s, which gives s = p + 57.\n5. Substitute p = h + 12 to s, which gives s = h + 69.\n6. Substitute h = 8 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 19793,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 1; p = h + 12; h = 8; j = e + 17; i = w + 7; d = i + 10; e = t + 6; s = g + 8; w = p + 18; g = d + 14; t = x + 8; f = h + 5; z = f + 18. If h = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 7", "w": "a + 7", "o": "w + 12", "z": "o + 2", "c": "z + 1", "p": "c + 14", "u": "v + 13", "n": "u + 11", "t": "n + 14", "s": "t + 5", "x": "s + 4", "k": "x + 12", "v": 19}, "premises": {"v": 19}, "target": "p"}, "answer": {"steps": [["c", "z + 1", "z + 15"], ["z", "o + 2", "o + 17"], ["o", "w + 12", "w + 29"], ["w", "a + 7", "a + 36"], ["a", "v + 7", "v + 43"], ["v", 19, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"v": 19}, "is_reverse": true}} | 19,794 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 2; c = z + 1; s = t + 5; w = a + 7; x = s + 4; k = x + 12; p = c + 14; a = v + 7; o = w + 12; v = 19; u = v + 13; n = u + 11; t = n + 14. If v = 19, what is the resulting 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 c = z + 1 to p, which gives p = z + 15.\n2. Substitute z = o + 2 to p, which gives p = o + 17.\n3. Substitute o = w + 12 to p, which gives p = w + 29.\n4. Substitute w = a + 7 to p, which gives p = a + 36.\n5. Substitute a = v + 7 to p, which gives p = v + 43.\n6. Substitute v = 19 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 19794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 2; c = z + 1; s = t + 5; w = a + 7; x = s + 4; k = x + 12; p = c + 14; a = v + 7; o = w + 12; v = 19; u = v + 13; n = u + 11; t = n + 14. If v = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 4", "r": "t + 4", "z": "r + 9", "o": "z + 4", "b": "o + 10", "i": "b + 16", "s": "n + 5", "y": "s + 7", "f": "y + 19", "a": "f + 4", "x": "a + 11", "j": "x + 8", "n": 7}, "premises": {"n": 7}, "target": "i"}, "answer": {"steps": [["b", "o + 10", "o + 26"], ["o", "z + 4", "z + 30"], ["z", "r + 9", "r + 39"], ["r", "t + 4", "t + 43"], ["t", "n + 4", "n + 47"], ["n", 7, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"n": 7}, "is_reverse": true}} | 19,795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 8; a = f + 4; x = a + 11; t = n + 4; y = s + 7; z = r + 9; n = 7; f = y + 19; b = o + 10; r = t + 4; o = z + 4; i = b + 16; s = n + 5. If n = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 10 to i, which gives i = o + 26.\n2. Substitute o = z + 4 to i, which gives i = z + 30.\n3. Substitute z = r + 9 to i, which gives i = r + 39.\n4. Substitute r = t + 4 to i, which gives i = t + 43.\n5. Substitute t = n + 4 to i, which gives i = n + 47.\n6. Substitute n = 7 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 19795,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 8; a = f + 4; x = a + 11; t = n + 4; y = s + 7; z = r + 9; n = 7; f = y + 19; b = o + 10; r = t + 4; o = z + 4; i = b + 16; s = n + 5. If n = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 10", "q": "d + 16", "k": "q + 8", "p": "k + 9", "t": "p + 3", "g": "t + 4", "m": "o + 18", "b": "m + 20", "c": "b + 9", "u": "c + 14", "f": "u + 3", "l": "f + 11", "o": 15}, "premises": {"o": 15}, "target": "g"}, "answer": {"steps": [["t", "p + 3", "p + 7"], ["p", "k + 9", "k + 16"], ["k", "q + 8", "q + 24"], ["q", "d + 16", "d + 40"], ["d", "o + 10", "o + 50"], ["o", 15, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"o": 15}, "is_reverse": true}} | 19,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 11; k = q + 8; f = u + 3; t = p + 3; q = d + 16; b = m + 20; m = o + 18; g = t + 4; u = c + 14; d = o + 10; c = b + 9; o = 15; p = k + 9. Given that o = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 3 to g, which gives g = p + 7.\n2. Substitute p = k + 9 to g, which gives g = k + 16.\n3. Substitute k = q + 8 to g, which gives g = q + 24.\n4. Substitute q = d + 16 to g, which gives g = d + 40.\n5. Substitute d = o + 10 to g, which gives g = o + 50.\n6. Substitute o = 15 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 19796,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 11; k = q + 8; f = u + 3; t = p + 3; q = d + 16; b = m + 20; m = o + 18; g = t + 4; u = c + 14; d = o + 10; c = b + 9; o = 15; p = k + 9. Given that o = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 16", "c": "e + 15", "s": "c + 20", "f": "s + 4", "x": "f + 2", "b": "x + 11", "d": "l + 11", "y": "d + 14", "v": "y + 10", "p": "v + 19", "h": "p + 14", "m": "h + 17", "l": 20}, "premises": {"l": 20}, "target": "b"}, "answer": {"steps": [["x", "f + 2", "f + 13"], ["f", "s + 4", "s + 17"], ["s", "c + 20", "c + 37"], ["c", "e + 15", "e + 52"], ["e", "l + 16", "l + 68"], ["l", 20, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"l": 20}, "is_reverse": true}} | 19,797 | 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 = y + 10; c = e + 15; m = h + 17; p = v + 19; s = c + 20; f = s + 4; e = l + 16; h = p + 14; b = x + 11; l = 20; d = l + 11; x = f + 2; y = d + 14. If l = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 2 to b, which gives b = f + 13.\n2. Substitute f = s + 4 to b, which gives b = s + 17.\n3. Substitute s = c + 20 to b, which gives b = c + 37.\n4. Substitute c = e + 15 to b, which gives b = e + 52.\n5. Substitute e = l + 16 to b, which gives b = l + 68.\n6. Substitute l = 20 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 19797,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = y + 10; c = e + 15; m = h + 17; p = v + 19; s = c + 20; f = s + 4; e = l + 16; h = p + 14; b = x + 11; l = 20; d = l + 11; x = f + 2; y = d + 14. If l = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 8", "t": "r + 15", "n": "t + 15", "o": "n + 8", "x": "o + 1", "q": "x + 15", "a": "d + 13", "e": "a + 1", "v": "e + 7", "g": "v + 7", "w": "g + 10", "p": "w + 12", "d": 3}, "premises": {"d": 3}, "target": "q"}, "answer": {"steps": [["x", "o + 1", "o + 16"], ["o", "n + 8", "n + 24"], ["n", "t + 15", "t + 39"], ["t", "r + 15", "r + 54"], ["r", "d + 8", "d + 62"], ["d", 3, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"d": 3}, "is_reverse": true}} | 19,798 | 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 = g + 10; x = o + 1; q = x + 15; v = e + 7; r = d + 8; t = r + 15; o = n + 8; n = t + 15; p = w + 12; e = a + 1; a = d + 13; g = v + 7; d = 3. If d = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 1 to q, which gives q = o + 16.\n2. Substitute o = n + 8 to q, which gives q = n + 24.\n3. Substitute n = t + 15 to q, which gives q = t + 39.\n4. Substitute t = r + 15 to q, which gives q = r + 54.\n5. Substitute r = d + 8 to q, which gives q = d + 62.\n6. Substitute d = 3 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 19798,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 10; x = o + 1; q = x + 15; v = e + 7; r = d + 8; t = r + 15; o = n + 8; n = t + 15; p = w + 12; e = a + 1; a = d + 13; g = v + 7; d = 3. If d = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 9", "w": "x + 10", "a": "w + 3", "d": "a + 19", "y": "d + 11", "s": "y + 14", "p": "o + 18", "h": "p + 20", "u": "h + 12", "g": "u + 18", "e": "g + 4", "k": "e + 16", "o": 12}, "premises": {"o": 12}, "target": "s"}, "answer": {"steps": [["y", "d + 11", "d + 25"], ["d", "a + 19", "a + 44"], ["a", "w + 3", "w + 47"], ["w", "x + 10", "x + 57"], ["x", "o + 9", "o + 66"], ["o", 12, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"o": 12}, "is_reverse": true}} | 19,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = o + 9; o = 12; d = a + 19; s = y + 14; h = p + 20; p = o + 18; y = d + 11; k = e + 16; e = g + 4; u = h + 12; a = w + 3; w = x + 10; g = u + 18. If o = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 11 to s, which gives s = d + 25.\n2. Substitute d = a + 19 to s, which gives s = a + 44.\n3. Substitute a = w + 3 to s, which gives s = w + 47.\n4. Substitute w = x + 10 to s, which gives s = x + 57.\n5. Substitute x = o + 9 to s, which gives s = o + 66.\n6. Substitute o = 12 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 19799,
"question": "Consider a system of variables where each variable is defined as follows: x = o + 9; o = 12; d = a + 19; s = y + 14; h = p + 20; p = o + 18; y = d + 11; k = e + 16; e = g + 4; u = h + 12; a = w + 3; w = x + 10; g = u + 18. If o = 12, determine the value of s.",
"split": "train"
} |
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