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": {"c": "r + 3", "h": "c + 7", "l": "h + 12", "g": "l + 1", "k": "g + 20", "e": "k + 7", "q": "r + 5", "y": "q + 19", "j": "y + 11", "o": "j + 5", "p": "o + 3", "m": "p + 17", "r": 15}, "premises": {"r": 15}, "target": "e"}, "answer": {"steps": [["k", "g + 20", "g + 27"], ["g", "l + 1", "l + 28"], ["l", "h + 12", "h + 40"], ["h", "c + 7", "c + 47"], ["c", "r + 3", "r + 50"], ["r", 15, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"r": 15}, "is_reverse": true}} | 6,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 3; p = o + 3; k = g + 20; q = r + 5; o = j + 5; m = p + 17; r = 15; h = c + 7; l = h + 12; e = k + 7; j = y + 11; g = l + 1; y = q + 19. If r = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 20 to e, which gives e = g + 27.\n2. Substitute g = l + 1 to e, which gives e = l + 28.\n3. Substitute l = h + 12 to e, which gives e = h + 40.\n4. Substitute h = c + 7 to e, which gives e = c + 47.\n5. Substitute c = r + 3 to e, which gives e = r + 50.\n6. Substitute r = 15 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 6200,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 3; p = o + 3; k = g + 20; q = r + 5; o = j + 5; m = p + 17; r = 15; h = c + 7; l = h + 12; e = k + 7; j = y + 11; g = l + 1; y = q + 19. If r = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 10", "d": "j + 13", "w": "d + 17", "c": "w + 9", "m": "c + 1", "u": "m + 6", "p": "a + 1", "b": "p + 13", "t": "b + 15", "z": "t + 15", "f": "z + 13", "x": "f + 20", "a": 9}, "premises": {"a": 9}, "target": "u"}, "answer": {"steps": [["m", "c + 1", "c + 7"], ["c", "w + 9", "w + 16"], ["w", "d + 17", "d + 33"], ["d", "j + 13", "j + 46"], ["j", "a + 10", "a + 56"], ["a", 9, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"a": 9}, "is_reverse": true}} | 6,201 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 9; w = d + 17; p = a + 1; x = f + 20; d = j + 13; z = t + 15; m = c + 1; t = b + 15; b = p + 13; f = z + 13; c = w + 9; j = a + 10; u = m + 6. Given that a = 9, find the 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 m = c + 1 to u, which gives u = c + 7.\n2. Substitute c = w + 9 to u, which gives u = w + 16.\n3. Substitute w = d + 17 to u, which gives u = d + 33.\n4. Substitute d = j + 13 to u, which gives u = j + 46.\n5. Substitute j = a + 10 to u, which gives u = a + 56.\n6. Substitute a = 9 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 6201,
"question": "Suppose a collection of variables is related by the following definitions: a = 9; w = d + 17; p = a + 1; x = f + 20; d = j + 13; z = t + 15; m = c + 1; t = b + 15; b = p + 13; f = z + 13; c = w + 9; j = a + 10; u = m + 6. Given that a = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 6", "u": "q + 11", "w": "u + 15", "l": "w + 16", "h": "l + 3", "m": "h + 15", "z": "e + 5", "n": "z + 14", "v": "n + 17", "x": "v + 5", "s": "x + 16", "a": "s + 18", "e": 15}, "premises": {"e": 15}, "target": "m"}, "answer": {"steps": [["h", "l + 3", "l + 18"], ["l", "w + 16", "w + 34"], ["w", "u + 15", "u + 49"], ["u", "q + 11", "q + 60"], ["q", "e + 6", "e + 66"], ["e", 15, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"e": 15}, "is_reverse": true}} | 6,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 5; z = e + 5; u = q + 11; e = 15; l = w + 16; w = u + 15; q = e + 6; m = h + 15; a = s + 18; v = n + 17; h = l + 3; s = x + 16; n = z + 14. Given that e = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 3 to m, which gives m = l + 18.\n2. Substitute l = w + 16 to m, which gives m = w + 34.\n3. Substitute w = u + 15 to m, which gives m = u + 49.\n4. Substitute u = q + 11 to m, which gives m = q + 60.\n5. Substitute q = e + 6 to m, which gives m = e + 66.\n6. Substitute e = 15 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 6202,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 5; z = e + 5; u = q + 11; e = 15; l = w + 16; w = u + 15; q = e + 6; m = h + 15; a = s + 18; v = n + 17; h = l + 3; s = x + 16; n = z + 14. Given that e = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 18", "j": "r + 12", "e": "j + 15", "o": "e + 12", "c": "o + 10", "g": "c + 4", "a": "u + 20", "p": "a + 17", "q": "p + 5", "m": "q + 1", "h": "m + 20", "l": "h + 10", "u": 5}, "premises": {"u": 5}, "target": "g"}, "answer": {"steps": [["c", "o + 10", "o + 14"], ["o", "e + 12", "e + 26"], ["e", "j + 15", "j + 41"], ["j", "r + 12", "r + 53"], ["r", "u + 18", "u + 71"], ["u", 5, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"u": 5}, "is_reverse": true}} | 6,203 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 10; q = p + 5; c = o + 10; e = j + 15; a = u + 20; m = q + 1; o = e + 12; u = 5; r = u + 18; h = m + 20; p = a + 17; j = r + 12; g = c + 4. Given that u = 5, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 10 to g, which gives g = o + 14.\n2. Substitute o = e + 12 to g, which gives g = e + 26.\n3. Substitute e = j + 15 to g, which gives g = j + 41.\n4. Substitute j = r + 12 to g, which gives g = r + 53.\n5. Substitute r = u + 18 to g, which gives g = u + 71.\n6. Substitute u = 5 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 6203,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 10; q = p + 5; c = o + 10; e = j + 15; a = u + 20; m = q + 1; o = e + 12; u = 5; r = u + 18; h = m + 20; p = a + 17; j = r + 12; g = c + 4. Given that u = 5, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 15", "z": "y + 8", "p": "z + 1", "q": "p + 15", "o": "q + 18", "n": "o + 18", "h": "w + 6", "d": "h + 15", "j": "d + 2", "r": "j + 10", "t": "r + 6", "c": "t + 9", "w": 20}, "premises": {"w": 20}, "target": "n"}, "answer": {"steps": [["o", "q + 18", "q + 36"], ["q", "p + 15", "p + 51"], ["p", "z + 1", "z + 52"], ["z", "y + 8", "y + 60"], ["y", "w + 15", "w + 75"], ["w", 20, "95"]], "target_var_name": "n", "target_value": 95, "value_dict": {"w": 20}, "is_reverse": true}} | 6,204 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 15; t = r + 6; w = 20; j = d + 2; c = t + 9; z = y + 8; y = w + 15; q = p + 15; h = w + 6; p = z + 1; o = q + 18; r = j + 10; n = o + 18. If w = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 18 to n, which gives n = q + 36.\n2. Substitute q = p + 15 to n, which gives n = p + 51.\n3. Substitute p = z + 1 to n, which gives n = z + 52.\n4. Substitute z = y + 8 to n, which gives n = y + 60.\n5. Substitute y = w + 15 to n, which gives n = w + 75.\n6. Substitute w = 20 to n, which gives n = 95.\n\nThus, the final answer is n = \\boxed{95}.",
"index": 6204,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 15; t = r + 6; w = 20; j = d + 2; c = t + 9; z = y + 8; y = w + 15; q = p + 15; h = w + 6; p = z + 1; o = q + 18; r = j + 10; n = o + 18. If w = 20, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 8", "v": "s + 5", "d": "v + 16", "w": "d + 17", "k": "w + 10", "l": "k + 7", "m": "j + 12", "f": "m + 17", "a": "f + 8", "n": "a + 19", "p": "n + 10", "z": "p + 7", "j": 15}, "premises": {"j": 15}, "target": "l"}, "answer": {"steps": [["k", "w + 10", "w + 17"], ["w", "d + 17", "d + 34"], ["d", "v + 16", "v + 50"], ["v", "s + 5", "s + 55"], ["s", "j + 8", "j + 63"], ["j", 15, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"j": 15}, "is_reverse": true}} | 6,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 10; m = j + 12; w = d + 17; d = v + 16; a = f + 8; s = j + 8; l = k + 7; v = s + 5; j = 15; f = m + 17; n = a + 19; p = n + 10; z = p + 7. Given that j = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 10 to l, which gives l = w + 17.\n2. Substitute w = d + 17 to l, which gives l = d + 34.\n3. Substitute d = v + 16 to l, which gives l = v + 50.\n4. Substitute v = s + 5 to l, which gives l = s + 55.\n5. Substitute s = j + 8 to l, which gives l = j + 63.\n6. Substitute j = 15 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 6205,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 10; m = j + 12; w = d + 17; d = v + 16; a = f + 8; s = j + 8; l = k + 7; v = s + 5; j = 15; f = m + 17; n = a + 19; p = n + 10; z = p + 7. Given that j = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 12", "b": "y + 4", "p": "b + 13", "r": "p + 4", "g": "r + 2", "o": "g + 2", "c": "h + 19", "w": "c + 3", "e": "w + 1", "n": "e + 6", "j": "n + 18", "d": "j + 7", "h": 5}, "premises": {"h": 5}, "target": "o"}, "answer": {"steps": [["g", "r + 2", "r + 4"], ["r", "p + 4", "p + 8"], ["p", "b + 13", "b + 21"], ["b", "y + 4", "y + 25"], ["y", "h + 12", "h + 37"], ["h", 5, "42"]], "target_var_name": "o", "target_value": 42, "value_dict": {"h": 5}, "is_reverse": true}} | 6,206 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 12; b = y + 4; w = c + 3; n = e + 6; p = b + 13; o = g + 2; j = n + 18; d = j + 7; r = p + 4; e = w + 1; c = h + 19; g = r + 2; h = 5. If h = 5, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 2 to o, which gives o = r + 4.\n2. Substitute r = p + 4 to o, which gives o = p + 8.\n3. Substitute p = b + 13 to o, which gives o = b + 21.\n4. Substitute b = y + 4 to o, which gives o = y + 25.\n5. Substitute y = h + 12 to o, which gives o = h + 37.\n6. Substitute h = 5 to o, which gives o = 42.\n\nThus, the final answer is o = \\boxed{42}.",
"index": 6206,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 12; b = y + 4; w = c + 3; n = e + 6; p = b + 13; o = g + 2; j = n + 18; d = j + 7; r = p + 4; e = w + 1; c = h + 19; g = r + 2; h = 5. If h = 5, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 17", "a": "v + 14", "k": "a + 9", "c": "k + 3", "w": "c + 1", "u": "w + 15", "z": "g + 15", "s": "z + 15", "j": "s + 15", "f": "j + 16", "p": "f + 6", "h": "p + 2", "g": 9}, "premises": {"g": 9}, "target": "u"}, "answer": {"steps": [["w", "c + 1", "c + 16"], ["c", "k + 3", "k + 19"], ["k", "a + 9", "a + 28"], ["a", "v + 14", "v + 42"], ["v", "g + 17", "g + 59"], ["g", 9, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"g": 9}, "is_reverse": true}} | 6,207 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = k + 3; w = c + 1; v = g + 17; z = g + 15; k = a + 9; u = w + 15; j = s + 15; g = 9; h = p + 2; s = z + 15; p = f + 6; f = j + 16; a = v + 14. Given that g = 9, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 1 to u, which gives u = c + 16.\n2. Substitute c = k + 3 to u, which gives u = k + 19.\n3. Substitute k = a + 9 to u, which gives u = a + 28.\n4. Substitute a = v + 14 to u, which gives u = v + 42.\n5. Substitute v = g + 17 to u, which gives u = g + 59.\n6. Substitute g = 9 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 6207,
"question": "Suppose a collection of variables is related by the following definitions: c = k + 3; w = c + 1; v = g + 17; z = g + 15; k = a + 9; u = w + 15; j = s + 15; g = 9; h = p + 2; s = z + 15; p = f + 6; f = j + 16; a = v + 14. Given that g = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 14", "j": "f + 1", "w": "j + 1", "d": "w + 9", "e": "d + 20", "u": "e + 12", "z": "i + 13", "a": "z + 20", "v": "a + 18", "y": "v + 19", "s": "y + 16", "x": "s + 18", "i": 9}, "premises": {"i": 9}, "target": "u"}, "answer": {"steps": [["e", "d + 20", "d + 32"], ["d", "w + 9", "w + 41"], ["w", "j + 1", "j + 42"], ["j", "f + 1", "f + 43"], ["f", "i + 14", "i + 57"], ["i", 9, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"i": 9}, "is_reverse": true}} | 6,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 1; d = w + 9; e = d + 20; f = i + 14; s = y + 16; i = 9; y = v + 19; x = s + 18; v = a + 18; u = e + 12; a = z + 20; w = j + 1; z = i + 13. Given that i = 9, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 20 to u, which gives u = d + 32.\n2. Substitute d = w + 9 to u, which gives u = w + 41.\n3. Substitute w = j + 1 to u, which gives u = j + 42.\n4. Substitute j = f + 1 to u, which gives u = f + 43.\n5. Substitute f = i + 14 to u, which gives u = i + 57.\n6. Substitute i = 9 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 6208,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 1; d = w + 9; e = d + 20; f = i + 14; s = y + 16; i = 9; y = v + 19; x = s + 18; v = a + 18; u = e + 12; a = z + 20; w = j + 1; z = i + 13. Given that i = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 2", "q": "s + 16", "f": "q + 6", "n": "f + 3", "a": "n + 13", "w": "a + 17", "g": "t + 4", "h": "g + 20", "c": "h + 6", "p": "c + 9", "u": "p + 2", "z": "u + 14", "t": 10}, "premises": {"t": 10}, "target": "w"}, "answer": {"steps": [["a", "n + 13", "n + 30"], ["n", "f + 3", "f + 33"], ["f", "q + 6", "q + 39"], ["q", "s + 16", "s + 55"], ["s", "t + 2", "t + 57"], ["t", 10, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"t": 10}, "is_reverse": true}} | 6,209 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 20; g = t + 4; z = u + 14; c = h + 6; n = f + 3; q = s + 16; f = q + 6; u = p + 2; a = n + 13; p = c + 9; w = a + 17; s = t + 2; t = 10. If t = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 13 to w, which gives w = n + 30.\n2. Substitute n = f + 3 to w, which gives w = f + 33.\n3. Substitute f = q + 6 to w, which gives w = q + 39.\n4. Substitute q = s + 16 to w, which gives w = s + 55.\n5. Substitute s = t + 2 to w, which gives w = t + 57.\n6. Substitute t = 10 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 6209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 20; g = t + 4; z = u + 14; c = h + 6; n = f + 3; q = s + 16; f = q + 6; u = p + 2; a = n + 13; p = c + 9; w = a + 17; s = t + 2; t = 10. If t = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 9", "z": "f + 13", "t": "z + 18", "a": "t + 7", "p": "a + 13", "e": "p + 1", "l": "r + 12", "n": "l + 10", "y": "n + 17", "o": "y + 4", "g": "o + 18", "c": "g + 19", "r": 8}, "premises": {"r": 8}, "target": "e"}, "answer": {"steps": [["p", "a + 13", "a + 14"], ["a", "t + 7", "t + 21"], ["t", "z + 18", "z + 39"], ["z", "f + 13", "f + 52"], ["f", "r + 9", "r + 61"], ["r", 8, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"r": 8}, "is_reverse": true}} | 6,210 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 13; e = p + 1; t = z + 18; l = r + 12; o = y + 4; z = f + 13; n = l + 10; r = 8; f = r + 9; g = o + 18; a = t + 7; c = g + 19; y = n + 17. Given that r = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 13 to e, which gives e = a + 14.\n2. Substitute a = t + 7 to e, which gives e = t + 21.\n3. Substitute t = z + 18 to e, which gives e = z + 39.\n4. Substitute z = f + 13 to e, which gives e = f + 52.\n5. Substitute f = r + 9 to e, which gives e = r + 61.\n6. Substitute r = 8 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 6210,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 13; e = p + 1; t = z + 18; l = r + 12; o = y + 4; z = f + 13; n = l + 10; r = 8; f = r + 9; g = o + 18; a = t + 7; c = g + 19; y = n + 17. Given that r = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 13", "p": "g + 3", "d": "p + 13", "x": "d + 18", "f": "x + 18", "w": "f + 14", "a": "t + 2", "q": "a + 19", "s": "q + 10", "e": "s + 11", "b": "e + 4", "o": "b + 5", "t": 1}, "premises": {"t": 1}, "target": "w"}, "answer": {"steps": [["f", "x + 18", "x + 32"], ["x", "d + 18", "d + 50"], ["d", "p + 13", "p + 63"], ["p", "g + 3", "g + 66"], ["g", "t + 13", "t + 79"], ["t", 1, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"t": 1}, "is_reverse": true}} | 6,211 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 18; o = b + 5; w = f + 14; x = d + 18; a = t + 2; e = s + 11; s = q + 10; q = a + 19; t = 1; b = e + 4; g = t + 13; p = g + 3; d = p + 13. Given that t = 1, find 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 f = x + 18 to w, which gives w = x + 32.\n2. Substitute x = d + 18 to w, which gives w = d + 50.\n3. Substitute d = p + 13 to w, which gives w = p + 63.\n4. Substitute p = g + 3 to w, which gives w = g + 66.\n5. Substitute g = t + 13 to w, which gives w = t + 79.\n6. Substitute t = 1 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 6211,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 18; o = b + 5; w = f + 14; x = d + 18; a = t + 2; e = s + 11; s = q + 10; q = a + 19; t = 1; b = e + 4; g = t + 13; p = g + 3; d = p + 13. Given that t = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 16", "b": "o + 9", "q": "b + 10", "h": "q + 2", "v": "h + 8", "u": "v + 9", "p": "x + 18", "r": "p + 6", "i": "r + 1", "s": "i + 11", "w": "s + 6", "y": "w + 15", "x": 10}, "premises": {"x": 10}, "target": "u"}, "answer": {"steps": [["v", "h + 8", "h + 17"], ["h", "q + 2", "q + 19"], ["q", "b + 10", "b + 29"], ["b", "o + 9", "o + 38"], ["o", "x + 16", "x + 54"], ["x", 10, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"x": 10}, "is_reverse": true}} | 6,212 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 6; s = i + 11; q = b + 10; p = x + 18; y = w + 15; v = h + 8; b = o + 9; w = s + 6; x = 10; h = q + 2; i = r + 1; u = v + 9; o = x + 16. Given that x = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 8 to u, which gives u = h + 17.\n2. Substitute h = q + 2 to u, which gives u = q + 19.\n3. Substitute q = b + 10 to u, which gives u = b + 29.\n4. Substitute b = o + 9 to u, which gives u = o + 38.\n5. Substitute o = x + 16 to u, which gives u = x + 54.\n6. Substitute x = 10 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 6212,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 6; s = i + 11; q = b + 10; p = x + 18; y = w + 15; v = h + 8; b = o + 9; w = s + 6; x = 10; h = q + 2; i = r + 1; u = v + 9; o = x + 16. Given that x = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 10", "q": "v + 6", "n": "q + 18", "l": "n + 14", "z": "l + 18", "d": "z + 13", "i": "j + 20", "r": "i + 10", "p": "r + 8", "m": "p + 1", "u": "m + 17", "t": "u + 19", "j": 13}, "premises": {"j": 13}, "target": "d"}, "answer": {"steps": [["z", "l + 18", "l + 31"], ["l", "n + 14", "n + 45"], ["n", "q + 18", "q + 63"], ["q", "v + 6", "v + 69"], ["v", "j + 10", "j + 79"], ["j", 13, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"j": 13}, "is_reverse": true}} | 6,213 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 19; r = i + 10; d = z + 13; u = m + 17; z = l + 18; i = j + 20; j = 13; p = r + 8; m = p + 1; q = v + 6; n = q + 18; l = n + 14; v = j + 10. If j = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 18 to d, which gives d = l + 31.\n2. Substitute l = n + 14 to d, which gives d = n + 45.\n3. Substitute n = q + 18 to d, which gives d = q + 63.\n4. Substitute q = v + 6 to d, which gives d = v + 69.\n5. Substitute v = j + 10 to d, which gives d = j + 79.\n6. Substitute j = 13 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 6213,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 19; r = i + 10; d = z + 13; u = m + 17; z = l + 18; i = j + 20; j = 13; p = r + 8; m = p + 1; q = v + 6; n = q + 18; l = n + 14; v = j + 10. If j = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 13", "w": "u + 19", "l": "w + 3", "z": "l + 3", "g": "z + 10", "r": "g + 18", "f": "o + 16", "i": "f + 2", "n": "i + 4", "k": "n + 2", "m": "k + 18", "h": "m + 14", "o": 3}, "premises": {"o": 3}, "target": "r"}, "answer": {"steps": [["g", "z + 10", "z + 28"], ["z", "l + 3", "l + 31"], ["l", "w + 3", "w + 34"], ["w", "u + 19", "u + 53"], ["u", "o + 13", "o + 66"], ["o", 3, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"o": 3}, "is_reverse": true}} | 6,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 2; f = o + 16; n = i + 4; r = g + 18; w = u + 19; h = m + 14; i = f + 2; u = o + 13; m = k + 18; l = w + 3; z = l + 3; g = z + 10; o = 3. Given that o = 3, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 10 to r, which gives r = z + 28.\n2. Substitute z = l + 3 to r, which gives r = l + 31.\n3. Substitute l = w + 3 to r, which gives r = w + 34.\n4. Substitute w = u + 19 to r, which gives r = u + 53.\n5. Substitute u = o + 13 to r, which gives r = o + 66.\n6. Substitute o = 3 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 6214,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 2; f = o + 16; n = i + 4; r = g + 18; w = u + 19; h = m + 14; i = f + 2; u = o + 13; m = k + 18; l = w + 3; z = l + 3; g = z + 10; o = 3. Given that o = 3, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 16", "k": "n + 14", "h": "k + 11", "b": "h + 5", "i": "b + 10", "m": "i + 19", "z": "x + 16", "y": "z + 14", "v": "y + 10", "l": "v + 17", "r": "l + 16", "g": "r + 3", "x": 3}, "premises": {"x": 3}, "target": "m"}, "answer": {"steps": [["i", "b + 10", "b + 29"], ["b", "h + 5", "h + 34"], ["h", "k + 11", "k + 45"], ["k", "n + 14", "n + 59"], ["n", "x + 16", "x + 75"], ["x", 3, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"x": 3}, "is_reverse": true}} | 6,215 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 19; y = z + 14; g = r + 3; n = x + 16; x = 3; r = l + 16; v = y + 10; b = h + 5; k = n + 14; h = k + 11; l = v + 17; i = b + 10; z = x + 16. If x = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 10 to m, which gives m = b + 29.\n2. Substitute b = h + 5 to m, which gives m = h + 34.\n3. Substitute h = k + 11 to m, which gives m = k + 45.\n4. Substitute k = n + 14 to m, which gives m = n + 59.\n5. Substitute n = x + 16 to m, which gives m = x + 75.\n6. Substitute x = 3 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 6215,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 19; y = z + 14; g = r + 3; n = x + 16; x = 3; r = l + 16; v = y + 10; b = h + 5; k = n + 14; h = k + 11; l = v + 17; i = b + 10; z = x + 16. If x = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 4", "b": "u + 3", "r": "b + 7", "n": "r + 7", "f": "n + 6", "i": "f + 6", "h": "c + 10", "m": "h + 12", "z": "m + 5", "t": "z + 1", "j": "t + 14", "q": "j + 9", "c": 20}, "premises": {"c": 20}, "target": "i"}, "answer": {"steps": [["f", "n + 6", "n + 12"], ["n", "r + 7", "r + 19"], ["r", "b + 7", "b + 26"], ["b", "u + 3", "u + 29"], ["u", "c + 4", "c + 33"], ["c", 20, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"c": 20}, "is_reverse": true}} | 6,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 12; r = b + 7; j = t + 14; f = n + 6; h = c + 10; q = j + 9; t = z + 1; b = u + 3; c = 20; z = m + 5; n = r + 7; u = c + 4; i = f + 6. Given that c = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 6 to i, which gives i = n + 12.\n2. Substitute n = r + 7 to i, which gives i = r + 19.\n3. Substitute r = b + 7 to i, which gives i = b + 26.\n4. Substitute b = u + 3 to i, which gives i = u + 29.\n5. Substitute u = c + 4 to i, which gives i = c + 33.\n6. Substitute c = 20 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 6216,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 12; r = b + 7; j = t + 14; f = n + 6; h = c + 10; q = j + 9; t = z + 1; b = u + 3; c = 20; z = m + 5; n = r + 7; u = c + 4; i = f + 6. Given that c = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 4", "c": "o + 5", "r": "c + 6", "w": "r + 3", "u": "w + 2", "m": "u + 18", "d": "v + 15", "a": "d + 19", "k": "a + 12", "p": "k + 10", "n": "p + 5", "z": "n + 14", "v": 14}, "premises": {"v": 14}, "target": "m"}, "answer": {"steps": [["u", "w + 2", "w + 20"], ["w", "r + 3", "r + 23"], ["r", "c + 6", "c + 29"], ["c", "o + 5", "o + 34"], ["o", "v + 4", "v + 38"], ["v", 14, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"v": 14}, "is_reverse": true}} | 6,217 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 14; w = r + 3; r = c + 6; a = d + 19; d = v + 15; u = w + 2; c = o + 5; m = u + 18; v = 14; o = v + 4; p = k + 10; n = p + 5; k = a + 12. If v = 14, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 2 to m, which gives m = w + 20.\n2. Substitute w = r + 3 to m, which gives m = r + 23.\n3. Substitute r = c + 6 to m, which gives m = c + 29.\n4. Substitute c = o + 5 to m, which gives m = o + 34.\n5. Substitute o = v + 4 to m, which gives m = v + 38.\n6. Substitute v = 14 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 6217,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 14; w = r + 3; r = c + 6; a = d + 19; d = v + 15; u = w + 2; c = o + 5; m = u + 18; v = 14; o = v + 4; p = k + 10; n = p + 5; k = a + 12. If v = 14, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 15", "d": "s + 8", "t": "d + 2", "f": "t + 5", "x": "f + 4", "u": "x + 13", "y": "n + 2", "i": "y + 2", "b": "i + 18", "o": "b + 18", "q": "o + 9", "c": "q + 8", "n": 1}, "premises": {"n": 1}, "target": "u"}, "answer": {"steps": [["x", "f + 4", "f + 17"], ["f", "t + 5", "t + 22"], ["t", "d + 2", "d + 24"], ["d", "s + 8", "s + 32"], ["s", "n + 15", "n + 47"], ["n", 1, "48"]], "target_var_name": "u", "target_value": 48, "value_dict": {"n": 1}, "is_reverse": true}} | 6,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = o + 9; t = d + 2; i = y + 2; u = x + 13; x = f + 4; n = 1; o = b + 18; y = n + 2; s = n + 15; f = t + 5; d = s + 8; c = q + 8; b = i + 18. Given that n = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 4 to u, which gives u = f + 17.\n2. Substitute f = t + 5 to u, which gives u = t + 22.\n3. Substitute t = d + 2 to u, which gives u = d + 24.\n4. Substitute d = s + 8 to u, which gives u = s + 32.\n5. Substitute s = n + 15 to u, which gives u = n + 47.\n6. Substitute n = 1 to u, which gives u = 48.\n\nThus, the final answer is u = \\boxed{48}.",
"index": 6218,
"question": "Suppose a collection of variables is related by the following definitions: q = o + 9; t = d + 2; i = y + 2; u = x + 13; x = f + 4; n = 1; o = b + 18; y = n + 2; s = n + 15; f = t + 5; d = s + 8; c = q + 8; b = i + 18. Given that n = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 8", "m": "d + 16", "h": "m + 13", "y": "h + 18", "p": "y + 3", "z": "p + 18", "g": "t + 7", "e": "g + 11", "l": "e + 5", "o": "l + 2", "c": "o + 3", "k": "c + 1", "t": 5}, "premises": {"t": 5}, "target": "z"}, "answer": {"steps": [["p", "y + 3", "y + 21"], ["y", "h + 18", "h + 39"], ["h", "m + 13", "m + 52"], ["m", "d + 16", "d + 68"], ["d", "t + 8", "t + 76"], ["t", 5, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"t": 5}, "is_reverse": true}} | 6,219 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 2; t = 5; l = e + 5; g = t + 7; m = d + 16; h = m + 13; d = t + 8; y = h + 18; z = p + 18; e = g + 11; k = c + 1; c = o + 3; p = y + 3. If t = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 3 to z, which gives z = y + 21.\n2. Substitute y = h + 18 to z, which gives z = h + 39.\n3. Substitute h = m + 13 to z, which gives z = m + 52.\n4. Substitute m = d + 16 to z, which gives z = d + 68.\n5. Substitute d = t + 8 to z, which gives z = t + 76.\n6. Substitute t = 5 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 6219,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 2; t = 5; l = e + 5; g = t + 7; m = d + 16; h = m + 13; d = t + 8; y = h + 18; z = p + 18; e = g + 11; k = c + 1; c = o + 3; p = y + 3. If t = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 9", "r": "w + 11", "a": "r + 12", "x": "a + 15", "m": "x + 14", "e": "m + 6", "o": "h + 17", "l": "o + 4", "p": "l + 16", "q": "p + 10", "j": "q + 20", "d": "j + 11", "h": 14}, "premises": {"h": 14}, "target": "e"}, "answer": {"steps": [["m", "x + 14", "x + 20"], ["x", "a + 15", "a + 35"], ["a", "r + 12", "r + 47"], ["r", "w + 11", "w + 58"], ["w", "h + 9", "h + 67"], ["h", 14, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"h": 14}, "is_reverse": true}} | 6,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 12; q = p + 10; r = w + 11; x = a + 15; m = x + 14; l = o + 4; w = h + 9; p = l + 16; o = h + 17; d = j + 11; h = 14; e = m + 6; j = q + 20. If h = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 14 to e, which gives e = x + 20.\n2. Substitute x = a + 15 to e, which gives e = a + 35.\n3. Substitute a = r + 12 to e, which gives e = r + 47.\n4. Substitute r = w + 11 to e, which gives e = w + 58.\n5. Substitute w = h + 9 to e, which gives e = h + 67.\n6. Substitute h = 14 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 6220,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 12; q = p + 10; r = w + 11; x = a + 15; m = x + 14; l = o + 4; w = h + 9; p = l + 16; o = h + 17; d = j + 11; h = 14; e = m + 6; j = q + 20. If h = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 14", "a": "w + 19", "n": "a + 18", "m": "n + 2", "g": "m + 18", "x": "g + 3", "k": "e + 14", "b": "k + 13", "u": "b + 12", "i": "u + 4", "t": "i + 18", "p": "t + 3", "e": 5}, "premises": {"e": 5}, "target": "x"}, "answer": {"steps": [["g", "m + 18", "m + 21"], ["m", "n + 2", "n + 23"], ["n", "a + 18", "a + 41"], ["a", "w + 19", "w + 60"], ["w", "e + 14", "e + 74"], ["e", 5, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"e": 5}, "is_reverse": true}} | 6,221 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = n + 2; u = b + 12; p = t + 3; k = e + 14; w = e + 14; b = k + 13; x = g + 3; g = m + 18; n = a + 18; t = i + 18; e = 5; a = w + 19; i = u + 4. If e = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 18 to x, which gives x = m + 21.\n2. Substitute m = n + 2 to x, which gives x = n + 23.\n3. Substitute n = a + 18 to x, which gives x = a + 41.\n4. Substitute a = w + 19 to x, which gives x = w + 60.\n5. Substitute w = e + 14 to x, which gives x = e + 74.\n6. Substitute e = 5 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 6221,
"question": "Consider a system of variables where each variable is defined as follows: m = n + 2; u = b + 12; p = t + 3; k = e + 14; w = e + 14; b = k + 13; x = g + 3; g = m + 18; n = a + 18; t = i + 18; e = 5; a = w + 19; i = u + 4. If e = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 14", "z": "g + 14", "u": "z + 14", "c": "u + 18", "i": "c + 16", "r": "i + 12", "o": "n + 7", "m": "o + 9", "e": "m + 9", "j": "e + 1", "l": "j + 3", "w": "l + 1", "n": 6}, "premises": {"n": 6}, "target": "r"}, "answer": {"steps": [["i", "c + 16", "c + 28"], ["c", "u + 18", "u + 46"], ["u", "z + 14", "z + 60"], ["z", "g + 14", "g + 74"], ["g", "n + 14", "n + 88"], ["n", 6, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"n": 6}, "is_reverse": true}} | 6,222 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 7; r = i + 12; e = m + 9; z = g + 14; i = c + 16; n = 6; w = l + 1; j = e + 1; u = z + 14; c = u + 18; l = j + 3; m = o + 9; g = n + 14. If n = 6, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 16 to r, which gives r = c + 28.\n2. Substitute c = u + 18 to r, which gives r = u + 46.\n3. Substitute u = z + 14 to r, which gives r = z + 60.\n4. Substitute z = g + 14 to r, which gives r = g + 74.\n5. Substitute g = n + 14 to r, which gives r = n + 88.\n6. Substitute n = 6 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 6222,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 7; r = i + 12; e = m + 9; z = g + 14; i = c + 16; n = 6; w = l + 1; j = e + 1; u = z + 14; c = u + 18; l = j + 3; m = o + 9; g = n + 14. If n = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 6", "s": "c + 6", "v": "s + 4", "e": "v + 7", "w": "e + 20", "x": "w + 18", "o": "u + 20", "h": "o + 15", "i": "h + 6", "d": "i + 10", "b": "d + 14", "z": "b + 15", "u": 16}, "premises": {"u": 16}, "target": "x"}, "answer": {"steps": [["w", "e + 20", "e + 38"], ["e", "v + 7", "v + 45"], ["v", "s + 4", "s + 49"], ["s", "c + 6", "c + 55"], ["c", "u + 6", "u + 61"], ["u", 16, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"u": 16}, "is_reverse": true}} | 6,223 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 7; d = i + 10; w = e + 20; c = u + 6; o = u + 20; x = w + 18; b = d + 14; h = o + 15; s = c + 6; u = 16; v = s + 4; z = b + 15; i = h + 6. If u = 16, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 20 to x, which gives x = e + 38.\n2. Substitute e = v + 7 to x, which gives x = v + 45.\n3. Substitute v = s + 4 to x, which gives x = s + 49.\n4. Substitute s = c + 6 to x, which gives x = c + 55.\n5. Substitute c = u + 6 to x, which gives x = u + 61.\n6. Substitute u = 16 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 6223,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 7; d = i + 10; w = e + 20; c = u + 6; o = u + 20; x = w + 18; b = d + 14; h = o + 15; s = c + 6; u = 16; v = s + 4; z = b + 15; i = h + 6. If u = 16, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 12", "p": "v + 5", "h": "p + 5", "g": "h + 10", "i": "g + 4", "n": "i + 1", "a": "z + 17", "j": "a + 16", "s": "j + 2", "f": "s + 18", "d": "f + 4", "k": "d + 3", "z": 20}, "premises": {"z": 20}, "target": "n"}, "answer": {"steps": [["i", "g + 4", "g + 5"], ["g", "h + 10", "h + 15"], ["h", "p + 5", "p + 20"], ["p", "v + 5", "v + 25"], ["v", "z + 12", "z + 37"], ["z", 20, "57"]], "target_var_name": "n", "target_value": 57, "value_dict": {"z": 20}, "is_reverse": true}} | 6,224 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 4; h = p + 5; g = h + 10; a = z + 17; i = g + 4; p = v + 5; f = s + 18; z = 20; j = a + 16; k = d + 3; n = i + 1; s = j + 2; v = z + 12. Given that z = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 4 to n, which gives n = g + 5.\n2. Substitute g = h + 10 to n, which gives n = h + 15.\n3. Substitute h = p + 5 to n, which gives n = p + 20.\n4. Substitute p = v + 5 to n, which gives n = v + 25.\n5. Substitute v = z + 12 to n, which gives n = z + 37.\n6. Substitute z = 20 to n, which gives n = 57.\n\nThus, the final answer is n = \\boxed{57}.",
"index": 6224,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 4; h = p + 5; g = h + 10; a = z + 17; i = g + 4; p = v + 5; f = s + 18; z = 20; j = a + 16; k = d + 3; n = i + 1; s = j + 2; v = z + 12. Given that z = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 1", "t": "f + 6", "z": "t + 17", "q": "z + 11", "b": "q + 7", "v": "b + 8", "p": "x + 15", "n": "p + 4", "k": "n + 2", "o": "k + 14", "a": "o + 17", "l": "a + 4", "x": 16}, "premises": {"x": 16}, "target": "v"}, "answer": {"steps": [["b", "q + 7", "q + 15"], ["q", "z + 11", "z + 26"], ["z", "t + 17", "t + 43"], ["t", "f + 6", "f + 49"], ["f", "x + 1", "x + 50"], ["x", 16, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"x": 16}, "is_reverse": true}} | 6,225 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 17; b = q + 7; q = z + 11; v = b + 8; x = 16; p = x + 15; n = p + 4; k = n + 2; o = k + 14; l = a + 4; t = f + 6; a = o + 17; f = x + 1. Given that x = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 7 to v, which gives v = q + 15.\n2. Substitute q = z + 11 to v, which gives v = z + 26.\n3. Substitute z = t + 17 to v, which gives v = t + 43.\n4. Substitute t = f + 6 to v, which gives v = f + 49.\n5. Substitute f = x + 1 to v, which gives v = x + 50.\n6. Substitute x = 16 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 6225,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 17; b = q + 7; q = z + 11; v = b + 8; x = 16; p = x + 15; n = p + 4; k = n + 2; o = k + 14; l = a + 4; t = f + 6; a = o + 17; f = x + 1. Given that x = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 5", "y": "u + 4", "i": "y + 6", "s": "i + 14", "f": "s + 10", "l": "f + 13", "m": "n + 17", "c": "m + 15", "r": "c + 13", "a": "r + 11", "g": "a + 16", "z": "g + 5", "n": 13}, "premises": {"n": 13}, "target": "l"}, "answer": {"steps": [["f", "s + 10", "s + 23"], ["s", "i + 14", "i + 37"], ["i", "y + 6", "y + 43"], ["y", "u + 4", "u + 47"], ["u", "n + 5", "n + 52"], ["n", 13, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"n": 13}, "is_reverse": true}} | 6,226 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 17; u = n + 5; z = g + 5; l = f + 13; i = y + 6; r = c + 13; g = a + 16; a = r + 11; s = i + 14; y = u + 4; n = 13; c = m + 15; f = s + 10. Given that n = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 10 to l, which gives l = s + 23.\n2. Substitute s = i + 14 to l, which gives l = i + 37.\n3. Substitute i = y + 6 to l, which gives l = y + 43.\n4. Substitute y = u + 4 to l, which gives l = u + 47.\n5. Substitute u = n + 5 to l, which gives l = n + 52.\n6. Substitute n = 13 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 6226,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 17; u = n + 5; z = g + 5; l = f + 13; i = y + 6; r = c + 13; g = a + 16; a = r + 11; s = i + 14; y = u + 4; n = 13; c = m + 15; f = s + 10. Given that n = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 3", "t": "e + 18", "h": "t + 1", "i": "h + 7", "f": "i + 19", "c": "f + 10", "g": "l + 14", "o": "g + 9", "q": "o + 3", "v": "q + 14", "r": "v + 5", "p": "r + 9", "l": 11}, "premises": {"l": 11}, "target": "c"}, "answer": {"steps": [["f", "i + 19", "i + 29"], ["i", "h + 7", "h + 36"], ["h", "t + 1", "t + 37"], ["t", "e + 18", "e + 55"], ["e", "l + 3", "l + 58"], ["l", 11, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"l": 11}, "is_reverse": true}} | 6,227 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 10; h = t + 1; v = q + 14; g = l + 14; i = h + 7; e = l + 3; q = o + 3; r = v + 5; o = g + 9; f = i + 19; t = e + 18; l = 11; p = r + 9. If l = 11, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 19 to c, which gives c = i + 29.\n2. Substitute i = h + 7 to c, which gives c = h + 36.\n3. Substitute h = t + 1 to c, which gives c = t + 37.\n4. Substitute t = e + 18 to c, which gives c = e + 55.\n5. Substitute e = l + 3 to c, which gives c = l + 58.\n6. Substitute l = 11 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 6227,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 10; h = t + 1; v = q + 14; g = l + 14; i = h + 7; e = l + 3; q = o + 3; r = v + 5; o = g + 9; f = i + 19; t = e + 18; l = 11; p = r + 9. If l = 11, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 5", "v": "h + 4", "p": "v + 7", "o": "p + 11", "l": "o + 1", "d": "l + 16", "k": "t + 20", "c": "k + 4", "q": "c + 20", "n": "q + 6", "z": "n + 19", "r": "z + 7", "t": 18}, "premises": {"t": 18}, "target": "d"}, "answer": {"steps": [["l", "o + 1", "o + 17"], ["o", "p + 11", "p + 28"], ["p", "v + 7", "v + 35"], ["v", "h + 4", "h + 39"], ["h", "t + 5", "t + 44"], ["t", 18, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"t": 18}, "is_reverse": true}} | 6,228 | 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 = l + 16; h = t + 5; k = t + 20; o = p + 11; p = v + 7; n = q + 6; t = 18; v = h + 4; z = n + 19; c = k + 4; r = z + 7; q = c + 20; l = o + 1. If t = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 1 to d, which gives d = o + 17.\n2. Substitute o = p + 11 to d, which gives d = p + 28.\n3. Substitute p = v + 7 to d, which gives d = v + 35.\n4. Substitute v = h + 4 to d, which gives d = h + 39.\n5. Substitute h = t + 5 to d, which gives d = t + 44.\n6. Substitute t = 18 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 6228,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 16; h = t + 5; k = t + 20; o = p + 11; p = v + 7; n = q + 6; t = 18; v = h + 4; z = n + 19; c = k + 4; r = z + 7; q = c + 20; l = o + 1. If t = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 1", "z": "c + 11", "w": "z + 16", "j": "w + 4", "f": "j + 19", "s": "f + 5", "t": "e + 4", "b": "t + 4", "m": "b + 10", "r": "m + 9", "i": "r + 2", "u": "i + 3", "e": 7}, "premises": {"e": 7}, "target": "s"}, "answer": {"steps": [["f", "j + 19", "j + 24"], ["j", "w + 4", "w + 28"], ["w", "z + 16", "z + 44"], ["z", "c + 11", "c + 55"], ["c", "e + 1", "e + 56"], ["e", 7, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"e": 7}, "is_reverse": true}} | 6,229 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 1; w = z + 16; j = w + 4; m = b + 10; r = m + 9; i = r + 2; f = j + 19; t = e + 4; e = 7; s = f + 5; u = i + 3; z = c + 11; b = t + 4. If e = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 19 to s, which gives s = j + 24.\n2. Substitute j = w + 4 to s, which gives s = w + 28.\n3. Substitute w = z + 16 to s, which gives s = z + 44.\n4. Substitute z = c + 11 to s, which gives s = c + 55.\n5. Substitute c = e + 1 to s, which gives s = e + 56.\n6. Substitute e = 7 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 6229,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 1; w = z + 16; j = w + 4; m = b + 10; r = m + 9; i = r + 2; f = j + 19; t = e + 4; e = 7; s = f + 5; u = i + 3; z = c + 11; b = t + 4. If e = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 8", "b": "u + 10", "i": "b + 1", "r": "i + 16", "o": "r + 19", "h": "o + 6", "y": "j + 4", "k": "y + 9", "x": "k + 9", "z": "x + 20", "w": "z + 11", "q": "w + 5", "j": 11}, "premises": {"j": 11}, "target": "h"}, "answer": {"steps": [["o", "r + 19", "r + 25"], ["r", "i + 16", "i + 41"], ["i", "b + 1", "b + 42"], ["b", "u + 10", "u + 52"], ["u", "j + 8", "j + 60"], ["j", 11, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"j": 11}, "is_reverse": true}} | 6,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 6; x = k + 9; o = r + 19; i = b + 1; y = j + 4; j = 11; z = x + 20; k = y + 9; w = z + 11; q = w + 5; r = i + 16; b = u + 10; u = j + 8. Given that j = 11, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 19 to h, which gives h = r + 25.\n2. Substitute r = i + 16 to h, which gives h = i + 41.\n3. Substitute i = b + 1 to h, which gives h = b + 42.\n4. Substitute b = u + 10 to h, which gives h = u + 52.\n5. Substitute u = j + 8 to h, which gives h = j + 60.\n6. Substitute j = 11 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 6230,
"question": "Suppose a collection of variables is related by the following definitions: h = o + 6; x = k + 9; o = r + 19; i = b + 1; y = j + 4; j = 11; z = x + 20; k = y + 9; w = z + 11; q = w + 5; r = i + 16; b = u + 10; u = j + 8. Given that j = 11, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 19", "v": "q + 4", "g": "v + 10", "w": "g + 17", "h": "w + 3", "l": "h + 14", "u": "z + 14", "m": "u + 17", "x": "m + 9", "f": "x + 7", "b": "f + 1", "a": "b + 20", "z": 6}, "premises": {"z": 6}, "target": "l"}, "answer": {"steps": [["h", "w + 3", "w + 17"], ["w", "g + 17", "g + 34"], ["g", "v + 10", "v + 44"], ["v", "q + 4", "q + 48"], ["q", "z + 19", "z + 67"], ["z", 6, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"z": 6}, "is_reverse": true}} | 6,231 | 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 + 19; w = g + 17; u = z + 14; v = q + 4; h = w + 3; g = v + 10; l = h + 14; m = u + 17; f = x + 7; z = 6; a = b + 20; b = f + 1; x = m + 9. If z = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 3 to l, which gives l = w + 17.\n2. Substitute w = g + 17 to l, which gives l = g + 34.\n3. Substitute g = v + 10 to l, which gives l = v + 44.\n4. Substitute v = q + 4 to l, which gives l = q + 48.\n5. Substitute q = z + 19 to l, which gives l = z + 67.\n6. Substitute z = 6 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 6231,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 19; w = g + 17; u = z + 14; v = q + 4; h = w + 3; g = v + 10; l = h + 14; m = u + 17; f = x + 7; z = 6; a = b + 20; b = f + 1; x = m + 9. If z = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 20", "o": "f + 2", "w": "o + 11", "q": "w + 11", "p": "q + 16", "c": "p + 18", "b": "l + 15", "e": "b + 3", "v": "e + 6", "t": "v + 19", "s": "t + 13", "z": "s + 4", "l": 7}, "premises": {"l": 7}, "target": "c"}, "answer": {"steps": [["p", "q + 16", "q + 34"], ["q", "w + 11", "w + 45"], ["w", "o + 11", "o + 56"], ["o", "f + 2", "f + 58"], ["f", "l + 20", "l + 78"], ["l", 7, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"l": 7}, "is_reverse": true}} | 6,232 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 15; f = l + 20; e = b + 3; v = e + 6; p = q + 16; o = f + 2; t = v + 19; l = 7; q = w + 11; w = o + 11; s = t + 13; c = p + 18; z = s + 4. If l = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 16 to c, which gives c = q + 34.\n2. Substitute q = w + 11 to c, which gives c = w + 45.\n3. Substitute w = o + 11 to c, which gives c = o + 56.\n4. Substitute o = f + 2 to c, which gives c = f + 58.\n5. Substitute f = l + 20 to c, which gives c = l + 78.\n6. Substitute l = 7 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 6232,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 15; f = l + 20; e = b + 3; v = e + 6; p = q + 16; o = f + 2; t = v + 19; l = 7; q = w + 11; w = o + 11; s = t + 13; c = p + 18; z = s + 4. If l = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 11", "c": "k + 13", "q": "c + 12", "d": "q + 4", "r": "d + 1", "u": "r + 16", "g": "n + 16", "t": "g + 20", "w": "t + 12", "x": "w + 2", "p": "x + 7", "y": "p + 5", "n": 12}, "premises": {"n": 12}, "target": "u"}, "answer": {"steps": [["r", "d + 1", "d + 17"], ["d", "q + 4", "q + 21"], ["q", "c + 12", "c + 33"], ["c", "k + 13", "k + 46"], ["k", "n + 11", "n + 57"], ["n", 12, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"n": 12}, "is_reverse": true}} | 6,233 | 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 = t + 12; p = x + 7; n = 12; c = k + 13; q = c + 12; x = w + 2; t = g + 20; r = d + 1; d = q + 4; k = n + 11; u = r + 16; g = n + 16; y = p + 5. If n = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 1 to u, which gives u = d + 17.\n2. Substitute d = q + 4 to u, which gives u = q + 21.\n3. Substitute q = c + 12 to u, which gives u = c + 33.\n4. Substitute c = k + 13 to u, which gives u = k + 46.\n5. Substitute k = n + 11 to u, which gives u = n + 57.\n6. Substitute n = 12 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 6233,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 12; p = x + 7; n = 12; c = k + 13; q = c + 12; x = w + 2; t = g + 20; r = d + 1; d = q + 4; k = n + 11; u = r + 16; g = n + 16; y = p + 5. If n = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 6", "u": "b + 8", "e": "u + 12", "w": "e + 10", "z": "w + 16", "x": "z + 19", "m": "h + 12", "f": "m + 2", "r": "f + 19", "o": "r + 13", "s": "o + 1", "k": "s + 8", "h": 5}, "premises": {"h": 5}, "target": "x"}, "answer": {"steps": [["z", "w + 16", "w + 35"], ["w", "e + 10", "e + 45"], ["e", "u + 12", "u + 57"], ["u", "b + 8", "b + 65"], ["b", "h + 6", "h + 71"], ["h", 5, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"h": 5}, "is_reverse": true}} | 6,234 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 19; e = u + 12; o = r + 13; z = w + 16; u = b + 8; k = s + 8; h = 5; w = e + 10; s = o + 1; r = f + 19; b = h + 6; m = h + 12; f = m + 2. Given that h = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 16 to x, which gives x = w + 35.\n2. Substitute w = e + 10 to x, which gives x = e + 45.\n3. Substitute e = u + 12 to x, which gives x = u + 57.\n4. Substitute u = b + 8 to x, which gives x = b + 65.\n5. Substitute b = h + 6 to x, which gives x = h + 71.\n6. Substitute h = 5 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 6234,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 19; e = u + 12; o = r + 13; z = w + 16; u = b + 8; k = s + 8; h = 5; w = e + 10; s = o + 1; r = f + 19; b = h + 6; m = h + 12; f = m + 2. Given that h = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 11", "r": "h + 14", "b": "r + 16", "w": "b + 6", "f": "w + 13", "o": "f + 8", "q": "g + 16", "v": "q + 2", "x": "v + 19", "d": "x + 10", "e": "d + 7", "n": "e + 3", "g": 12}, "premises": {"g": 12}, "target": "o"}, "answer": {"steps": [["f", "w + 13", "w + 21"], ["w", "b + 6", "b + 27"], ["b", "r + 16", "r + 43"], ["r", "h + 14", "h + 57"], ["h", "g + 11", "g + 68"], ["g", 12, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"g": 12}, "is_reverse": true}} | 6,235 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 7; h = g + 11; b = r + 16; f = w + 13; x = v + 19; v = q + 2; r = h + 14; o = f + 8; d = x + 10; n = e + 3; w = b + 6; q = g + 16; g = 12. Given that g = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 13 to o, which gives o = w + 21.\n2. Substitute w = b + 6 to o, which gives o = b + 27.\n3. Substitute b = r + 16 to o, which gives o = r + 43.\n4. Substitute r = h + 14 to o, which gives o = h + 57.\n5. Substitute h = g + 11 to o, which gives o = g + 68.\n6. Substitute g = 12 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 6235,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 7; h = g + 11; b = r + 16; f = w + 13; x = v + 19; v = q + 2; r = h + 14; o = f + 8; d = x + 10; n = e + 3; w = b + 6; q = g + 16; g = 12. Given that g = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 19", "d": "t + 15", "i": "d + 1", "n": "i + 10", "x": "n + 8", "g": "x + 8", "y": "p + 7", "b": "y + 11", "z": "b + 11", "f": "z + 18", "h": "f + 10", "a": "h + 3", "p": 5}, "premises": {"p": 5}, "target": "g"}, "answer": {"steps": [["x", "n + 8", "n + 16"], ["n", "i + 10", "i + 26"], ["i", "d + 1", "d + 27"], ["d", "t + 15", "t + 42"], ["t", "p + 19", "p + 61"], ["p", 5, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"p": 5}, "is_reverse": true}} | 6,236 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 3; x = n + 8; f = z + 18; t = p + 19; z = b + 11; b = y + 11; n = i + 10; p = 5; d = t + 15; i = d + 1; y = p + 7; h = f + 10; g = x + 8. If p = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 8 to g, which gives g = n + 16.\n2. Substitute n = i + 10 to g, which gives g = i + 26.\n3. Substitute i = d + 1 to g, which gives g = d + 27.\n4. Substitute d = t + 15 to g, which gives g = t + 42.\n5. Substitute t = p + 19 to g, which gives g = p + 61.\n6. Substitute p = 5 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 6236,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 3; x = n + 8; f = z + 18; t = p + 19; z = b + 11; b = y + 11; n = i + 10; p = 5; d = t + 15; i = d + 1; y = p + 7; h = f + 10; g = x + 8. If p = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 17", "b": "d + 6", "l": "b + 7", "a": "l + 18", "e": "a + 6", "u": "e + 20", "j": "g + 6", "t": "j + 12", "f": "t + 13", "h": "f + 19", "v": "h + 19", "i": "v + 6", "g": 7}, "premises": {"g": 7}, "target": "u"}, "answer": {"steps": [["e", "a + 6", "a + 26"], ["a", "l + 18", "l + 44"], ["l", "b + 7", "b + 51"], ["b", "d + 6", "d + 57"], ["d", "g + 17", "g + 74"], ["g", 7, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"g": 7}, "is_reverse": true}} | 6,237 | 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 = g + 6; t = j + 12; i = v + 6; v = h + 19; d = g + 17; h = f + 19; u = e + 20; b = d + 6; a = l + 18; l = b + 7; e = a + 6; g = 7; f = t + 13. If g = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 6 to u, which gives u = a + 26.\n2. Substitute a = l + 18 to u, which gives u = l + 44.\n3. Substitute l = b + 7 to u, which gives u = b + 51.\n4. Substitute b = d + 6 to u, which gives u = d + 57.\n5. Substitute d = g + 17 to u, which gives u = g + 74.\n6. Substitute g = 7 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 6237,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 6; t = j + 12; i = v + 6; v = h + 19; d = g + 17; h = f + 19; u = e + 20; b = d + 6; a = l + 18; l = b + 7; e = a + 6; g = 7; f = t + 13. If g = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 10", "m": "r + 14", "b": "m + 2", "d": "b + 19", "i": "d + 5", "c": "i + 3", "f": "t + 20", "h": "f + 16", "p": "h + 14", "k": "p + 20", "z": "k + 14", "v": "z + 1", "t": 10}, "premises": {"t": 10}, "target": "c"}, "answer": {"steps": [["i", "d + 5", "d + 8"], ["d", "b + 19", "b + 27"], ["b", "m + 2", "m + 29"], ["m", "r + 14", "r + 43"], ["r", "t + 10", "t + 53"], ["t", 10, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"t": 10}, "is_reverse": true}} | 6,238 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 10; r = t + 10; m = r + 14; h = f + 16; b = m + 2; k = p + 20; v = z + 1; f = t + 20; p = h + 14; c = i + 3; d = b + 19; z = k + 14; i = d + 5. Given that t = 10, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 5 to c, which gives c = d + 8.\n2. Substitute d = b + 19 to c, which gives c = b + 27.\n3. Substitute b = m + 2 to c, which gives c = m + 29.\n4. Substitute m = r + 14 to c, which gives c = r + 43.\n5. Substitute r = t + 10 to c, which gives c = t + 53.\n6. Substitute t = 10 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 6238,
"question": "Suppose a collection of variables is related by the following definitions: t = 10; r = t + 10; m = r + 14; h = f + 16; b = m + 2; k = p + 20; v = z + 1; f = t + 20; p = h + 14; c = i + 3; d = b + 19; z = k + 14; i = d + 5. Given that t = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 11", "c": "a + 4", "g": "c + 4", "z": "g + 7", "e": "z + 10", "u": "e + 8", "j": "r + 6", "b": "j + 20", "k": "b + 19", "l": "k + 6", "s": "l + 9", "w": "s + 8", "r": 5}, "premises": {"r": 5}, "target": "u"}, "answer": {"steps": [["e", "z + 10", "z + 18"], ["z", "g + 7", "g + 25"], ["g", "c + 4", "c + 29"], ["c", "a + 4", "a + 33"], ["a", "r + 11", "r + 44"], ["r", 5, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"r": 5}, "is_reverse": true}} | 6,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 6; g = c + 4; l = k + 6; u = e + 8; k = b + 19; a = r + 11; s = l + 9; e = z + 10; z = g + 7; r = 5; w = s + 8; b = j + 20; c = a + 4. Given that r = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 10 to u, which gives u = z + 18.\n2. Substitute z = g + 7 to u, which gives u = g + 25.\n3. Substitute g = c + 4 to u, which gives u = c + 29.\n4. Substitute c = a + 4 to u, which gives u = a + 33.\n5. Substitute a = r + 11 to u, which gives u = r + 44.\n6. Substitute r = 5 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 6239,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 6; g = c + 4; l = k + 6; u = e + 8; k = b + 19; a = r + 11; s = l + 9; e = z + 10; z = g + 7; r = 5; w = s + 8; b = j + 20; c = a + 4. Given that r = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 11", "h": "d + 7", "w": "h + 9", "v": "w + 9", "j": "v + 7", "a": "j + 13", "g": "z + 8", "p": "g + 11", "b": "p + 3", "c": "b + 6", "q": "c + 17", "x": "q + 6", "z": 17}, "premises": {"z": 17}, "target": "a"}, "answer": {"steps": [["j", "v + 7", "v + 20"], ["v", "w + 9", "w + 29"], ["w", "h + 9", "h + 38"], ["h", "d + 7", "d + 45"], ["d", "z + 11", "z + 56"], ["z", 17, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"z": 17}, "is_reverse": true}} | 6,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 8; v = w + 9; c = b + 6; z = 17; x = q + 6; h = d + 7; q = c + 17; j = v + 7; w = h + 9; b = p + 3; d = z + 11; p = g + 11; a = j + 13. Given that z = 17, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 7 to a, which gives a = v + 20.\n2. Substitute v = w + 9 to a, which gives a = w + 29.\n3. Substitute w = h + 9 to a, which gives a = h + 38.\n4. Substitute h = d + 7 to a, which gives a = d + 45.\n5. Substitute d = z + 11 to a, which gives a = z + 56.\n6. Substitute z = 17 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 6240,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 8; v = w + 9; c = b + 6; z = 17; x = q + 6; h = d + 7; q = c + 17; j = v + 7; w = h + 9; b = p + 3; d = z + 11; p = g + 11; a = j + 13. Given that z = 17, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 4", "x": "m + 7", "e": "x + 19", "v": "e + 20", "r": "v + 9", "q": "r + 10", "c": "p + 1", "t": "c + 6", "j": "t + 10", "l": "j + 4", "b": "l + 17", "w": "b + 5", "p": 8}, "premises": {"p": 8}, "target": "q"}, "answer": {"steps": [["r", "v + 9", "v + 19"], ["v", "e + 20", "e + 39"], ["e", "x + 19", "x + 58"], ["x", "m + 7", "m + 65"], ["m", "p + 4", "p + 69"], ["p", 8, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"p": 8}, "is_reverse": true}} | 6,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 10; v = e + 20; c = p + 1; e = x + 19; x = m + 7; j = t + 10; p = 8; l = j + 4; r = v + 9; m = p + 4; t = c + 6; b = l + 17; w = b + 5. Given that p = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 9 to q, which gives q = v + 19.\n2. Substitute v = e + 20 to q, which gives q = e + 39.\n3. Substitute e = x + 19 to q, which gives q = x + 58.\n4. Substitute x = m + 7 to q, which gives q = m + 65.\n5. Substitute m = p + 4 to q, which gives q = p + 69.\n6. Substitute p = 8 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 6241,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 10; v = e + 20; c = p + 1; e = x + 19; x = m + 7; j = t + 10; p = 8; l = j + 4; r = v + 9; m = p + 4; t = c + 6; b = l + 17; w = b + 5. Given that p = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 20", "v": "y + 1", "j": "v + 15", "q": "j + 19", "f": "q + 16", "o": "f + 11", "a": "d + 6", "x": "a + 15", "g": "x + 11", "z": "g + 4", "c": "z + 7", "h": "c + 4", "d": 4}, "premises": {"d": 4}, "target": "o"}, "answer": {"steps": [["f", "q + 16", "q + 27"], ["q", "j + 19", "j + 46"], ["j", "v + 15", "v + 61"], ["v", "y + 1", "y + 62"], ["y", "d + 20", "d + 82"], ["d", 4, "86"]], "target_var_name": "o", "target_value": 86, "value_dict": {"d": 4}, "is_reverse": true}} | 6,242 | 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 + 11; v = y + 1; j = v + 15; h = c + 4; z = g + 4; x = a + 15; q = j + 19; g = x + 11; f = q + 16; c = z + 7; d = 4; y = d + 20; a = d + 6. If d = 4, what is the resulting 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 f = q + 16 to o, which gives o = q + 27.\n2. Substitute q = j + 19 to o, which gives o = j + 46.\n3. Substitute j = v + 15 to o, which gives o = v + 61.\n4. Substitute v = y + 1 to o, which gives o = y + 62.\n5. Substitute y = d + 20 to o, which gives o = d + 82.\n6. Substitute d = 4 to o, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 6242,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 11; v = y + 1; j = v + 15; h = c + 4; z = g + 4; x = a + 15; q = j + 19; g = x + 11; f = q + 16; c = z + 7; d = 4; y = d + 20; a = d + 6. If d = 4, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 3", "u": "w + 5", "d": "u + 3", "s": "d + 14", "z": "s + 5", "y": "z + 14", "n": "o + 10", "a": "n + 2", "g": "a + 2", "x": "g + 10", "l": "x + 1", "i": "l + 6", "o": 2}, "premises": {"o": 2}, "target": "y"}, "answer": {"steps": [["z", "s + 5", "s + 19"], ["s", "d + 14", "d + 33"], ["d", "u + 3", "u + 36"], ["u", "w + 5", "w + 41"], ["w", "o + 3", "o + 44"], ["o", 2, "46"]], "target_var_name": "y", "target_value": 46, "value_dict": {"o": 2}, "is_reverse": true}} | 6,243 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 14; l = x + 1; u = w + 5; z = s + 5; x = g + 10; n = o + 10; y = z + 14; g = a + 2; w = o + 3; o = 2; a = n + 2; d = u + 3; i = l + 6. If o = 2, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 5 to y, which gives y = s + 19.\n2. Substitute s = d + 14 to y, which gives y = d + 33.\n3. Substitute d = u + 3 to y, which gives y = u + 36.\n4. Substitute u = w + 5 to y, which gives y = w + 41.\n5. Substitute w = o + 3 to y, which gives y = o + 44.\n6. Substitute o = 2 to y, which gives y = 46.\n\nThus, the final answer is y = \\boxed{46}.",
"index": 6243,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 14; l = x + 1; u = w + 5; z = s + 5; x = g + 10; n = o + 10; y = z + 14; g = a + 2; w = o + 3; o = 2; a = n + 2; d = u + 3; i = l + 6. If o = 2, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 15", "e": "z + 1", "x": "e + 3", "y": "x + 18", "m": "y + 16", "h": "m + 6", "d": "k + 3", "o": "d + 7", "a": "o + 6", "j": "a + 2", "v": "j + 14", "u": "v + 5", "k": 3}, "premises": {"k": 3}, "target": "h"}, "answer": {"steps": [["m", "y + 16", "y + 22"], ["y", "x + 18", "x + 40"], ["x", "e + 3", "e + 43"], ["e", "z + 1", "z + 44"], ["z", "k + 15", "k + 59"], ["k", 3, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"k": 3}, "is_reverse": true}} | 6,244 | 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 = d + 7; d = k + 3; y = x + 18; v = j + 14; m = y + 16; e = z + 1; x = e + 3; k = 3; h = m + 6; u = v + 5; j = a + 2; a = o + 6; z = k + 15. If k = 3, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 16 to h, which gives h = y + 22.\n2. Substitute y = x + 18 to h, which gives h = x + 40.\n3. Substitute x = e + 3 to h, which gives h = e + 43.\n4. Substitute e = z + 1 to h, which gives h = z + 44.\n5. Substitute z = k + 15 to h, which gives h = k + 59.\n6. Substitute k = 3 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 6244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 7; d = k + 3; y = x + 18; v = j + 14; m = y + 16; e = z + 1; x = e + 3; k = 3; h = m + 6; u = v + 5; j = a + 2; a = o + 6; z = k + 15. If k = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 7", "c": "d + 6", "j": "c + 20", "e": "j + 6", "s": "e + 8", "n": "s + 9", "m": "y + 7", "u": "m + 17", "h": "u + 2", "t": "h + 11", "p": "t + 17", "x": "p + 3", "y": 14}, "premises": {"y": 14}, "target": "n"}, "answer": {"steps": [["s", "e + 8", "e + 17"], ["e", "j + 6", "j + 23"], ["j", "c + 20", "c + 43"], ["c", "d + 6", "d + 49"], ["d", "y + 7", "y + 56"], ["y", 14, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"y": 14}, "is_reverse": true}} | 6,245 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 8; m = y + 7; p = t + 17; y = 14; n = s + 9; t = h + 11; h = u + 2; c = d + 6; e = j + 6; u = m + 17; j = c + 20; x = p + 3; d = y + 7. Given that y = 14, find the 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 s = e + 8 to n, which gives n = e + 17.\n2. Substitute e = j + 6 to n, which gives n = j + 23.\n3. Substitute j = c + 20 to n, which gives n = c + 43.\n4. Substitute c = d + 6 to n, which gives n = d + 49.\n5. Substitute d = y + 7 to n, which gives n = y + 56.\n6. Substitute y = 14 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 6245,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 8; m = y + 7; p = t + 17; y = 14; n = s + 9; t = h + 11; h = u + 2; c = d + 6; e = j + 6; u = m + 17; j = c + 20; x = p + 3; d = y + 7. Given that y = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 8", "v": "c + 16", "t": "v + 15", "n": "t + 8", "f": "n + 13", "g": "f + 14", "q": "d + 7", "h": "q + 2", "e": "h + 12", "a": "e + 5", "x": "a + 15", "o": "x + 17", "d": 1}, "premises": {"d": 1}, "target": "g"}, "answer": {"steps": [["f", "n + 13", "n + 27"], ["n", "t + 8", "t + 35"], ["t", "v + 15", "v + 50"], ["v", "c + 16", "c + 66"], ["c", "d + 8", "d + 74"], ["d", 1, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"d": 1}, "is_reverse": true}} | 6,246 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 7; t = v + 15; n = t + 8; x = a + 15; v = c + 16; h = q + 2; g = f + 14; d = 1; c = d + 8; a = e + 5; f = n + 13; o = x + 17; e = h + 12. If d = 1, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 13 to g, which gives g = n + 27.\n2. Substitute n = t + 8 to g, which gives g = t + 35.\n3. Substitute t = v + 15 to g, which gives g = v + 50.\n4. Substitute v = c + 16 to g, which gives g = c + 66.\n5. Substitute c = d + 8 to g, which gives g = d + 74.\n6. Substitute d = 1 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 6246,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 7; t = v + 15; n = t + 8; x = a + 15; v = c + 16; h = q + 2; g = f + 14; d = 1; c = d + 8; a = e + 5; f = n + 13; o = x + 17; e = h + 12. If d = 1, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 5", "l": "z + 1", "o": "l + 17", "u": "o + 4", "y": "u + 16", "x": "y + 2", "k": "d + 15", "n": "k + 14", "c": "n + 10", "a": "c + 7", "e": "a + 8", "r": "e + 19", "d": 2}, "premises": {"d": 2}, "target": "x"}, "answer": {"steps": [["y", "u + 16", "u + 18"], ["u", "o + 4", "o + 22"], ["o", "l + 17", "l + 39"], ["l", "z + 1", "z + 40"], ["z", "d + 5", "d + 45"], ["d", 2, "47"]], "target_var_name": "x", "target_value": 47, "value_dict": {"d": 2}, "is_reverse": true}} | 6,247 | 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 = d + 5; d = 2; k = d + 15; o = l + 17; e = a + 8; l = z + 1; r = e + 19; a = c + 7; c = n + 10; y = u + 16; n = k + 14; u = o + 4; x = y + 2. If d = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 16 to x, which gives x = u + 18.\n2. Substitute u = o + 4 to x, which gives x = o + 22.\n3. Substitute o = l + 17 to x, which gives x = l + 39.\n4. Substitute l = z + 1 to x, which gives x = z + 40.\n5. Substitute z = d + 5 to x, which gives x = d + 45.\n6. Substitute d = 2 to x, which gives x = 47.\n\nThus, the final answer is x = \\boxed{47}.",
"index": 6247,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 5; d = 2; k = d + 15; o = l + 17; e = a + 8; l = z + 1; r = e + 19; a = c + 7; c = n + 10; y = u + 16; n = k + 14; u = o + 4; x = y + 2. If d = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 16", "t": "c + 7", "l": "t + 15", "h": "l + 10", "b": "h + 13", "x": "b + 16", "u": "e + 16", "j": "u + 1", "y": "j + 16", "z": "y + 11", "d": "z + 8", "a": "d + 3", "e": 5}, "premises": {"e": 5}, "target": "x"}, "answer": {"steps": [["b", "h + 13", "h + 29"], ["h", "l + 10", "l + 39"], ["l", "t + 15", "t + 54"], ["t", "c + 7", "c + 61"], ["c", "e + 16", "e + 77"], ["e", 5, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"e": 5}, "is_reverse": true}} | 6,248 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 13; d = z + 8; j = u + 1; c = e + 16; t = c + 7; a = d + 3; h = l + 10; x = b + 16; u = e + 16; y = j + 16; e = 5; z = y + 11; l = t + 15. Given that e = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 13 to x, which gives x = h + 29.\n2. Substitute h = l + 10 to x, which gives x = l + 39.\n3. Substitute l = t + 15 to x, which gives x = t + 54.\n4. Substitute t = c + 7 to x, which gives x = c + 61.\n5. Substitute c = e + 16 to x, which gives x = e + 77.\n6. Substitute e = 5 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 6248,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 13; d = z + 8; j = u + 1; c = e + 16; t = c + 7; a = d + 3; h = l + 10; x = b + 16; u = e + 16; y = j + 16; e = 5; z = y + 11; l = t + 15. Given that e = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 10", "g": "d + 4", "p": "g + 8", "l": "p + 19", "k": "l + 8", "q": "k + 3", "j": "n + 18", "h": "j + 12", "r": "h + 5", "s": "r + 14", "b": "s + 17", "m": "b + 4", "n": 6}, "premises": {"n": 6}, "target": "q"}, "answer": {"steps": [["k", "l + 8", "l + 11"], ["l", "p + 19", "p + 30"], ["p", "g + 8", "g + 38"], ["g", "d + 4", "d + 42"], ["d", "n + 10", "n + 52"], ["n", 6, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"n": 6}, "is_reverse": true}} | 6,249 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 4; p = g + 8; j = n + 18; n = 6; d = n + 10; l = p + 19; r = h + 5; g = d + 4; q = k + 3; s = r + 14; h = j + 12; k = l + 8; b = s + 17. Given that n = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 8 to q, which gives q = l + 11.\n2. Substitute l = p + 19 to q, which gives q = p + 30.\n3. Substitute p = g + 8 to q, which gives q = g + 38.\n4. Substitute g = d + 4 to q, which gives q = d + 42.\n5. Substitute d = n + 10 to q, which gives q = n + 52.\n6. Substitute n = 6 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 6249,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 4; p = g + 8; j = n + 18; n = 6; d = n + 10; l = p + 19; r = h + 5; g = d + 4; q = k + 3; s = r + 14; h = j + 12; k = l + 8; b = s + 17. Given that n = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 10", "c": "q + 13", "v": "c + 15", "e": "v + 19", "o": "e + 2", "j": "o + 19", "i": "g + 11", "r": "i + 8", "x": "r + 19", "d": "x + 7", "h": "d + 11", "f": "h + 18", "g": 4}, "premises": {"g": 4}, "target": "j"}, "answer": {"steps": [["o", "e + 2", "e + 21"], ["e", "v + 19", "v + 40"], ["v", "c + 15", "c + 55"], ["c", "q + 13", "q + 68"], ["q", "g + 10", "g + 78"], ["g", 4, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"g": 4}, "is_reverse": true}} | 6,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 2; r = i + 8; q = g + 10; c = q + 13; g = 4; v = c + 15; x = r + 19; h = d + 11; d = x + 7; f = h + 18; i = g + 11; e = v + 19; j = o + 19. If g = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 2 to j, which gives j = e + 21.\n2. Substitute e = v + 19 to j, which gives j = v + 40.\n3. Substitute v = c + 15 to j, which gives j = c + 55.\n4. Substitute c = q + 13 to j, which gives j = q + 68.\n5. Substitute q = g + 10 to j, which gives j = g + 78.\n6. Substitute g = 4 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 6250,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 2; r = i + 8; q = g + 10; c = q + 13; g = 4; v = c + 15; x = r + 19; h = d + 11; d = x + 7; f = h + 18; i = g + 11; e = v + 19; j = o + 19. If g = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 20", "f": "o + 17", "z": "f + 20", "j": "z + 14", "t": "j + 3", "i": "t + 13", "q": "w + 4", "u": "q + 4", "b": "u + 7", "k": "b + 2", "d": "k + 18", "n": "d + 17", "w": 20}, "premises": {"w": 20}, "target": "i"}, "answer": {"steps": [["t", "j + 3", "j + 16"], ["j", "z + 14", "z + 30"], ["z", "f + 20", "f + 50"], ["f", "o + 17", "o + 67"], ["o", "w + 20", "w + 87"], ["w", 20, "107"]], "target_var_name": "i", "target_value": 107, "value_dict": {"w": 20}, "is_reverse": true}} | 6,251 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 13; u = q + 4; t = j + 3; o = w + 20; b = u + 7; n = d + 17; w = 20; d = k + 18; k = b + 2; j = z + 14; z = f + 20; q = w + 4; f = o + 17. If w = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 3 to i, which gives i = j + 16.\n2. Substitute j = z + 14 to i, which gives i = z + 30.\n3. Substitute z = f + 20 to i, which gives i = f + 50.\n4. Substitute f = o + 17 to i, which gives i = o + 67.\n5. Substitute o = w + 20 to i, which gives i = w + 87.\n6. Substitute w = 20 to i, which gives i = 107.\n\nThus, the final answer is i = \\boxed{107}.",
"index": 6251,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 13; u = q + 4; t = j + 3; o = w + 20; b = u + 7; n = d + 17; w = 20; d = k + 18; k = b + 2; j = z + 14; z = f + 20; q = w + 4; f = o + 17. If w = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 20", "w": "t + 10", "j": "w + 18", "q": "j + 17", "s": "q + 19", "u": "s + 9", "f": "y + 5", "l": "f + 15", "e": "l + 10", "z": "e + 11", "h": "z + 3", "g": "h + 17", "y": 2}, "premises": {"y": 2}, "target": "u"}, "answer": {"steps": [["s", "q + 19", "q + 28"], ["q", "j + 17", "j + 45"], ["j", "w + 18", "w + 63"], ["w", "t + 10", "t + 73"], ["t", "y + 20", "y + 93"], ["y", 2, "95"]], "target_var_name": "u", "target_value": 95, "value_dict": {"y": 2}, "is_reverse": true}} | 6,252 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 9; j = w + 18; f = y + 5; s = q + 19; g = h + 17; h = z + 3; l = f + 15; q = j + 17; w = t + 10; z = e + 11; t = y + 20; e = l + 10; y = 2. If y = 2, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 19 to u, which gives u = q + 28.\n2. Substitute q = j + 17 to u, which gives u = j + 45.\n3. Substitute j = w + 18 to u, which gives u = w + 63.\n4. Substitute w = t + 10 to u, which gives u = t + 73.\n5. Substitute t = y + 20 to u, which gives u = y + 93.\n6. Substitute y = 2 to u, which gives u = 95.\n\nThus, the final answer is u = \\boxed{95}.",
"index": 6252,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 9; j = w + 18; f = y + 5; s = q + 19; g = h + 17; h = z + 3; l = f + 15; q = j + 17; w = t + 10; z = e + 11; t = y + 20; e = l + 10; y = 2. If y = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 3", "b": "u + 8", "d": "b + 13", "p": "d + 2", "m": "p + 9", "i": "m + 13", "j": "n + 17", "t": "j + 19", "w": "t + 1", "k": "w + 14", "q": "k + 11", "z": "q + 20", "n": 3}, "premises": {"n": 3}, "target": "i"}, "answer": {"steps": [["m", "p + 9", "p + 22"], ["p", "d + 2", "d + 24"], ["d", "b + 13", "b + 37"], ["b", "u + 8", "u + 45"], ["u", "n + 3", "n + 48"], ["n", 3, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"n": 3}, "is_reverse": true}} | 6,253 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 17; w = t + 1; z = q + 20; m = p + 9; b = u + 8; i = m + 13; t = j + 19; d = b + 13; p = d + 2; k = w + 14; n = 3; q = k + 11; u = n + 3. Given that n = 3, find the 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 m = p + 9 to i, which gives i = p + 22.\n2. Substitute p = d + 2 to i, which gives i = d + 24.\n3. Substitute d = b + 13 to i, which gives i = b + 37.\n4. Substitute b = u + 8 to i, which gives i = u + 45.\n5. Substitute u = n + 3 to i, which gives i = n + 48.\n6. Substitute n = 3 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 6253,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 17; w = t + 1; z = q + 20; m = p + 9; b = u + 8; i = m + 13; t = j + 19; d = b + 13; p = d + 2; k = w + 14; n = 3; q = k + 11; u = n + 3. Given that n = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 4", "f": "q + 3", "p": "f + 15", "w": "p + 11", "d": "w + 9", "c": "d + 7", "z": "e + 6", "r": "z + 7", "k": "r + 11", "b": "k + 10", "y": "b + 3", "n": "y + 3", "e": 9}, "premises": {"e": 9}, "target": "c"}, "answer": {"steps": [["d", "w + 9", "w + 16"], ["w", "p + 11", "p + 27"], ["p", "f + 15", "f + 42"], ["f", "q + 3", "q + 45"], ["q", "e + 4", "e + 49"], ["e", 9, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"e": 9}, "is_reverse": true}} | 6,254 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 9; p = f + 15; q = e + 4; b = k + 10; w = p + 11; n = y + 3; f = q + 3; c = d + 7; r = z + 7; k = r + 11; z = e + 6; e = 9; y = b + 3. If e = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 9 to c, which gives c = w + 16.\n2. Substitute w = p + 11 to c, which gives c = p + 27.\n3. Substitute p = f + 15 to c, which gives c = f + 42.\n4. Substitute f = q + 3 to c, which gives c = q + 45.\n5. Substitute q = e + 4 to c, which gives c = e + 49.\n6. Substitute e = 9 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 6254,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 9; p = f + 15; q = e + 4; b = k + 10; w = p + 11; n = y + 3; f = q + 3; c = d + 7; r = z + 7; k = r + 11; z = e + 6; e = 9; y = b + 3. If e = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 6", "c": "o + 15", "q": "c + 10", "u": "q + 12", "l": "u + 8", "s": "l + 16", "y": "r + 3", "h": "y + 20", "i": "h + 14", "p": "i + 9", "z": "p + 17", "x": "z + 4", "r": 17}, "premises": {"r": 17}, "target": "s"}, "answer": {"steps": [["l", "u + 8", "u + 24"], ["u", "q + 12", "q + 36"], ["q", "c + 10", "c + 46"], ["c", "o + 15", "o + 61"], ["o", "r + 6", "r + 67"], ["r", 17, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"r": 17}, "is_reverse": true}} | 6,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 9; y = r + 3; i = h + 14; z = p + 17; u = q + 12; s = l + 16; q = c + 10; h = y + 20; x = z + 4; l = u + 8; r = 17; c = o + 15; o = r + 6. If r = 17, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 8 to s, which gives s = u + 24.\n2. Substitute u = q + 12 to s, which gives s = q + 36.\n3. Substitute q = c + 10 to s, which gives s = c + 46.\n4. Substitute c = o + 15 to s, which gives s = o + 61.\n5. Substitute o = r + 6 to s, which gives s = r + 67.\n6. Substitute r = 17 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 6255,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 9; y = r + 3; i = h + 14; z = p + 17; u = q + 12; s = l + 16; q = c + 10; h = y + 20; x = z + 4; l = u + 8; r = 17; c = o + 15; o = r + 6. If r = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 2", "h": "u + 20", "j": "h + 17", "z": "j + 1", "x": "z + 8", "t": "x + 16", "b": "d + 4", "w": "b + 1", "c": "w + 20", "n": "c + 7", "y": "n + 13", "k": "y + 16", "d": 17}, "premises": {"d": 17}, "target": "t"}, "answer": {"steps": [["x", "z + 8", "z + 24"], ["z", "j + 1", "j + 25"], ["j", "h + 17", "h + 42"], ["h", "u + 20", "u + 62"], ["u", "d + 2", "d + 64"], ["d", 17, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"d": 17}, "is_reverse": true}} | 6,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 13; d = 17; u = d + 2; w = b + 1; b = d + 4; z = j + 1; t = x + 16; h = u + 20; n = c + 7; x = z + 8; k = y + 16; c = w + 20; j = h + 17. Given that d = 17, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 8 to t, which gives t = z + 24.\n2. Substitute z = j + 1 to t, which gives t = j + 25.\n3. Substitute j = h + 17 to t, which gives t = h + 42.\n4. Substitute h = u + 20 to t, which gives t = u + 62.\n5. Substitute u = d + 2 to t, which gives t = d + 64.\n6. Substitute d = 17 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 6256,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 13; d = 17; u = d + 2; w = b + 1; b = d + 4; z = j + 1; t = x + 16; h = u + 20; n = c + 7; x = z + 8; k = y + 16; c = w + 20; j = h + 17. Given that d = 17, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 9", "n": "c + 16", "y": "n + 4", "r": "y + 9", "x": "r + 17", "p": "x + 4", "m": "b + 17", "w": "m + 8", "l": "w + 18", "u": "l + 18", "d": "u + 1", "v": "d + 1", "b": 2}, "premises": {"b": 2}, "target": "p"}, "answer": {"steps": [["x", "r + 17", "r + 21"], ["r", "y + 9", "y + 30"], ["y", "n + 4", "n + 34"], ["n", "c + 16", "c + 50"], ["c", "b + 9", "b + 59"], ["b", 2, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"b": 2}, "is_reverse": true}} | 6,257 | 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 + 4; v = d + 1; u = l + 18; p = x + 4; x = r + 17; w = m + 8; l = w + 18; d = u + 1; b = 2; n = c + 16; c = b + 9; r = y + 9; m = b + 17. If b = 2, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 17 to p, which gives p = r + 21.\n2. Substitute r = y + 9 to p, which gives p = y + 30.\n3. Substitute y = n + 4 to p, which gives p = n + 34.\n4. Substitute n = c + 16 to p, which gives p = c + 50.\n5. Substitute c = b + 9 to p, which gives p = b + 59.\n6. Substitute b = 2 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 6257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = n + 4; v = d + 1; u = l + 18; p = x + 4; x = r + 17; w = m + 8; l = w + 18; d = u + 1; b = 2; n = c + 16; c = b + 9; r = y + 9; m = b + 17. If b = 2, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 15", "t": "z + 20", "k": "t + 4", "h": "k + 20", "q": "h + 7", "i": "q + 17", "a": "j + 5", "e": "a + 5", "v": "e + 16", "r": "v + 9", "d": "r + 11", "l": "d + 12", "j": 8}, "premises": {"j": 8}, "target": "i"}, "answer": {"steps": [["q", "h + 7", "h + 24"], ["h", "k + 20", "k + 44"], ["k", "t + 4", "t + 48"], ["t", "z + 20", "z + 68"], ["z", "j + 15", "j + 83"], ["j", 8, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"j": 8}, "is_reverse": true}} | 6,258 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 5; t = z + 20; i = q + 17; q = h + 7; v = e + 16; d = r + 11; k = t + 4; j = 8; r = v + 9; z = j + 15; h = k + 20; l = d + 12; e = a + 5. If j = 8, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 7 to i, which gives i = h + 24.\n2. Substitute h = k + 20 to i, which gives i = k + 44.\n3. Substitute k = t + 4 to i, which gives i = t + 48.\n4. Substitute t = z + 20 to i, which gives i = z + 68.\n5. Substitute z = j + 15 to i, which gives i = j + 83.\n6. Substitute j = 8 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 6258,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 5; t = z + 20; i = q + 17; q = h + 7; v = e + 16; d = r + 11; k = t + 4; j = 8; r = v + 9; z = j + 15; h = k + 20; l = d + 12; e = a + 5. If j = 8, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 11", "y": "x + 8", "o": "y + 5", "t": "o + 8", "k": "t + 6", "v": "k + 5", "m": "f + 17", "r": "m + 12", "e": "r + 13", "q": "e + 2", "b": "q + 4", "g": "b + 6", "f": 7}, "premises": {"f": 7}, "target": "v"}, "answer": {"steps": [["k", "t + 6", "t + 11"], ["t", "o + 8", "o + 19"], ["o", "y + 5", "y + 24"], ["y", "x + 8", "x + 32"], ["x", "f + 11", "f + 43"], ["f", 7, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"f": 7}, "is_reverse": true}} | 6,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 13; m = f + 17; k = t + 6; b = q + 4; o = y + 5; x = f + 11; r = m + 12; y = x + 8; g = b + 6; t = o + 8; v = k + 5; q = e + 2; f = 7. If f = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 6 to v, which gives v = t + 11.\n2. Substitute t = o + 8 to v, which gives v = o + 19.\n3. Substitute o = y + 5 to v, which gives v = y + 24.\n4. Substitute y = x + 8 to v, which gives v = x + 32.\n5. Substitute x = f + 11 to v, which gives v = f + 43.\n6. Substitute f = 7 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 6259,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 13; m = f + 17; k = t + 6; b = q + 4; o = y + 5; x = f + 11; r = m + 12; y = x + 8; g = b + 6; t = o + 8; v = k + 5; q = e + 2; f = 7. If f = 7, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 2", "p": "x + 12", "v": "p + 8", "r": "v + 3", "e": "r + 3", "f": "e + 17", "h": "n + 19", "w": "h + 4", "s": "w + 14", "d": "s + 14", "a": "d + 12", "i": "a + 12", "n": 19}, "premises": {"n": 19}, "target": "f"}, "answer": {"steps": [["e", "r + 3", "r + 20"], ["r", "v + 3", "v + 23"], ["v", "p + 8", "p + 31"], ["p", "x + 12", "x + 43"], ["x", "n + 2", "n + 45"], ["n", 19, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"n": 19}, "is_reverse": true}} | 6,260 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 17; v = p + 8; d = s + 14; n = 19; p = x + 12; h = n + 19; w = h + 4; x = n + 2; i = a + 12; e = r + 3; s = w + 14; r = v + 3; a = d + 12. Given that n = 19, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 3 to f, which gives f = r + 20.\n2. Substitute r = v + 3 to f, which gives f = v + 23.\n3. Substitute v = p + 8 to f, which gives f = p + 31.\n4. Substitute p = x + 12 to f, which gives f = x + 43.\n5. Substitute x = n + 2 to f, which gives f = n + 45.\n6. Substitute n = 19 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 6260,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 17; v = p + 8; d = s + 14; n = 19; p = x + 12; h = n + 19; w = h + 4; x = n + 2; i = a + 12; e = r + 3; s = w + 14; r = v + 3; a = d + 12. Given that n = 19, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 12", "k": "q + 20", "u": "k + 18", "z": "u + 17", "r": "z + 7", "v": "r + 16", "y": "t + 16", "p": "y + 19", "n": "p + 11", "s": "n + 2", "e": "s + 5", "d": "e + 2", "t": 5}, "premises": {"t": 5}, "target": "v"}, "answer": {"steps": [["r", "z + 7", "z + 23"], ["z", "u + 17", "u + 40"], ["u", "k + 18", "k + 58"], ["k", "q + 20", "q + 78"], ["q", "t + 12", "t + 90"], ["t", 5, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"t": 5}, "is_reverse": true}} | 6,261 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 18; t = 5; e = s + 5; n = p + 11; v = r + 16; r = z + 7; s = n + 2; p = y + 19; y = t + 16; k = q + 20; z = u + 17; d = e + 2; q = t + 12. If t = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 7 to v, which gives v = z + 23.\n2. Substitute z = u + 17 to v, which gives v = u + 40.\n3. Substitute u = k + 18 to v, which gives v = k + 58.\n4. Substitute k = q + 20 to v, which gives v = q + 78.\n5. Substitute q = t + 12 to v, which gives v = t + 90.\n6. Substitute t = 5 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 6261,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 18; t = 5; e = s + 5; n = p + 11; v = r + 16; r = z + 7; s = n + 2; p = y + 19; y = t + 16; k = q + 20; z = u + 17; d = e + 2; q = t + 12. If t = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 19", "d": "y + 1", "g": "d + 19", "v": "g + 11", "f": "v + 12", "u": "f + 4", "m": "i + 11", "q": "m + 9", "c": "q + 5", "k": "c + 3", "b": "k + 12", "n": "b + 1", "i": 12}, "premises": {"i": 12}, "target": "u"}, "answer": {"steps": [["f", "v + 12", "v + 16"], ["v", "g + 11", "g + 27"], ["g", "d + 19", "d + 46"], ["d", "y + 1", "y + 47"], ["y", "i + 19", "i + 66"], ["i", 12, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"i": 12}, "is_reverse": true}} | 6,262 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 12; u = f + 4; n = b + 1; g = d + 19; k = c + 3; m = i + 11; c = q + 5; q = m + 9; v = g + 11; d = y + 1; b = k + 12; y = i + 19; f = v + 12. Given that i = 12, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 12 to u, which gives u = v + 16.\n2. Substitute v = g + 11 to u, which gives u = g + 27.\n3. Substitute g = d + 19 to u, which gives u = d + 46.\n4. Substitute d = y + 1 to u, which gives u = y + 47.\n5. Substitute y = i + 19 to u, which gives u = i + 66.\n6. Substitute i = 12 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 6262,
"question": "Suppose a collection of variables is related by the following definitions: i = 12; u = f + 4; n = b + 1; g = d + 19; k = c + 3; m = i + 11; c = q + 5; q = m + 9; v = g + 11; d = y + 1; b = k + 12; y = i + 19; f = v + 12. Given that i = 12, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 13", "o": "v + 18", "g": "o + 18", "k": "g + 10", "c": "k + 5", "l": "c + 12", "u": "m + 9", "f": "u + 3", "t": "f + 1", "s": "t + 11", "j": "s + 4", "e": "j + 3", "m": 17}, "premises": {"m": 17}, "target": "l"}, "answer": {"steps": [["c", "k + 5", "k + 17"], ["k", "g + 10", "g + 27"], ["g", "o + 18", "o + 45"], ["o", "v + 18", "v + 63"], ["v", "m + 13", "m + 76"], ["m", 17, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"m": 17}, "is_reverse": true}} | 6,263 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 3; l = c + 12; e = j + 3; m = 17; j = s + 4; c = k + 5; v = m + 13; g = o + 18; s = t + 11; u = m + 9; o = v + 18; k = g + 10; t = f + 1. If m = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 5 to l, which gives l = k + 17.\n2. Substitute k = g + 10 to l, which gives l = g + 27.\n3. Substitute g = o + 18 to l, which gives l = o + 45.\n4. Substitute o = v + 18 to l, which gives l = v + 63.\n5. Substitute v = m + 13 to l, which gives l = m + 76.\n6. Substitute m = 17 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 6263,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 3; l = c + 12; e = j + 3; m = 17; j = s + 4; c = k + 5; v = m + 13; g = o + 18; s = t + 11; u = m + 9; o = v + 18; k = g + 10; t = f + 1. If m = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 6", "o": "t + 11", "q": "o + 18", "s": "q + 8", "d": "s + 15", "c": "d + 5", "r": "p + 18", "b": "r + 9", "l": "b + 8", "v": "l + 14", "i": "v + 3", "w": "i + 19", "p": 18}, "premises": {"p": 18}, "target": "c"}, "answer": {"steps": [["d", "s + 15", "s + 20"], ["s", "q + 8", "q + 28"], ["q", "o + 18", "o + 46"], ["o", "t + 11", "t + 57"], ["t", "p + 6", "p + 63"], ["p", 18, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"p": 18}, "is_reverse": true}} | 6,264 | 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 = l + 14; t = p + 6; d = s + 15; b = r + 9; r = p + 18; s = q + 8; c = d + 5; i = v + 3; w = i + 19; q = o + 18; l = b + 8; o = t + 11; p = 18. If p = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 15 to c, which gives c = s + 20.\n2. Substitute s = q + 8 to c, which gives c = q + 28.\n3. Substitute q = o + 18 to c, which gives c = o + 46.\n4. Substitute o = t + 11 to c, which gives c = t + 57.\n5. Substitute t = p + 6 to c, which gives c = p + 63.\n6. Substitute p = 18 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 6264,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 14; t = p + 6; d = s + 15; b = r + 9; r = p + 18; s = q + 8; c = d + 5; i = v + 3; w = i + 19; q = o + 18; l = b + 8; o = t + 11; p = 18. If p = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 9", "j": "f + 14", "h": "j + 4", "k": "h + 14", "m": "k + 3", "r": "m + 5", "n": "z + 16", "a": "n + 2", "q": "a + 11", "w": "q + 14", "e": "w + 6", "p": "e + 10", "z": 11}, "premises": {"z": 11}, "target": "r"}, "answer": {"steps": [["m", "k + 3", "k + 8"], ["k", "h + 14", "h + 22"], ["h", "j + 4", "j + 26"], ["j", "f + 14", "f + 40"], ["f", "z + 9", "z + 49"], ["z", 11, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"z": 11}, "is_reverse": true}} | 6,265 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 16; p = e + 10; w = q + 14; k = h + 14; r = m + 5; j = f + 14; q = a + 11; e = w + 6; z = 11; h = j + 4; m = k + 3; a = n + 2; f = z + 9. If z = 11, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 3 to r, which gives r = k + 8.\n2. Substitute k = h + 14 to r, which gives r = h + 22.\n3. Substitute h = j + 4 to r, which gives r = j + 26.\n4. Substitute j = f + 14 to r, which gives r = f + 40.\n5. Substitute f = z + 9 to r, which gives r = z + 49.\n6. Substitute z = 11 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 6265,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 16; p = e + 10; w = q + 14; k = h + 14; r = m + 5; j = f + 14; q = a + 11; e = w + 6; z = 11; h = j + 4; m = k + 3; a = n + 2; f = z + 9. If z = 11, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 6", "y": "s + 20", "k": "y + 1", "e": "k + 11", "w": "e + 4", "a": "w + 2", "r": "l + 14", "t": "r + 4", "q": "t + 14", "i": "q + 18", "x": "i + 10", "v": "x + 18", "l": 18}, "premises": {"l": 18}, "target": "a"}, "answer": {"steps": [["w", "e + 4", "e + 6"], ["e", "k + 11", "k + 17"], ["k", "y + 1", "y + 18"], ["y", "s + 20", "s + 38"], ["s", "l + 6", "l + 44"], ["l", 18, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"l": 18}, "is_reverse": true}} | 6,266 | 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 + 18; t = r + 4; y = s + 20; w = e + 4; x = i + 10; s = l + 6; r = l + 14; a = w + 2; k = y + 1; v = x + 18; l = 18; e = k + 11; q = t + 14. If l = 18, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 4 to a, which gives a = e + 6.\n2. Substitute e = k + 11 to a, which gives a = k + 17.\n3. Substitute k = y + 1 to a, which gives a = y + 18.\n4. Substitute y = s + 20 to a, which gives a = s + 38.\n5. Substitute s = l + 6 to a, which gives a = l + 44.\n6. Substitute l = 18 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 6266,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 18; t = r + 4; y = s + 20; w = e + 4; x = i + 10; s = l + 6; r = l + 14; a = w + 2; k = y + 1; v = x + 18; l = 18; e = k + 11; q = t + 14. If l = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 18", "j": "q + 19", "x": "j + 20", "z": "x + 17", "u": "z + 8", "b": "u + 15", "o": "d + 3", "h": "o + 11", "y": "h + 3", "w": "y + 5", "e": "w + 10", "g": "e + 6", "d": 15}, "premises": {"d": 15}, "target": "b"}, "answer": {"steps": [["u", "z + 8", "z + 23"], ["z", "x + 17", "x + 40"], ["x", "j + 20", "j + 60"], ["j", "q + 19", "q + 79"], ["q", "d + 18", "d + 97"], ["d", 15, "112"]], "target_var_name": "b", "target_value": 112, "value_dict": {"d": 15}, "is_reverse": true}} | 6,267 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 11; e = w + 10; j = q + 19; d = 15; x = j + 20; u = z + 8; b = u + 15; o = d + 3; y = h + 3; z = x + 17; q = d + 18; g = e + 6; w = y + 5. If d = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 8 to b, which gives b = z + 23.\n2. Substitute z = x + 17 to b, which gives b = x + 40.\n3. Substitute x = j + 20 to b, which gives b = j + 60.\n4. Substitute j = q + 19 to b, which gives b = q + 79.\n5. Substitute q = d + 18 to b, which gives b = d + 97.\n6. Substitute d = 15 to b, which gives b = 112.\n\nThus, the final answer is b = \\boxed{112}.",
"index": 6267,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 11; e = w + 10; j = q + 19; d = 15; x = j + 20; u = z + 8; b = u + 15; o = d + 3; y = h + 3; z = x + 17; q = d + 18; g = e + 6; w = y + 5. If d = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 9", "z": "l + 11", "t": "z + 15", "w": "t + 13", "y": "w + 10", "d": "y + 5", "f": "k + 4", "b": "f + 19", "p": "b + 11", "c": "p + 5", "e": "c + 19", "a": "e + 16", "k": 17}, "premises": {"k": 17}, "target": "d"}, "answer": {"steps": [["y", "w + 10", "w + 15"], ["w", "t + 13", "t + 28"], ["t", "z + 15", "z + 43"], ["z", "l + 11", "l + 54"], ["l", "k + 9", "k + 63"], ["k", 17, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"k": 17}, "is_reverse": true}} | 6,268 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 15; b = f + 19; y = w + 10; z = l + 11; a = e + 16; w = t + 13; k = 17; d = y + 5; f = k + 4; c = p + 5; l = k + 9; p = b + 11; e = c + 19. If k = 17, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 10 to d, which gives d = w + 15.\n2. Substitute w = t + 13 to d, which gives d = t + 28.\n3. Substitute t = z + 15 to d, which gives d = z + 43.\n4. Substitute z = l + 11 to d, which gives d = l + 54.\n5. Substitute l = k + 9 to d, which gives d = k + 63.\n6. Substitute k = 17 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 6268,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 15; b = f + 19; y = w + 10; z = l + 11; a = e + 16; w = t + 13; k = 17; d = y + 5; f = k + 4; c = p + 5; l = k + 9; p = b + 11; e = c + 19. If k = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 19", "u": "z + 17", "w": "u + 11", "p": "w + 15", "v": "p + 18", "b": "v + 7", "a": "g + 19", "e": "a + 19", "n": "e + 1", "s": "n + 14", "c": "s + 9", "d": "c + 12", "g": 19}, "premises": {"g": 19}, "target": "b"}, "answer": {"steps": [["v", "p + 18", "p + 25"], ["p", "w + 15", "w + 40"], ["w", "u + 11", "u + 51"], ["u", "z + 17", "z + 68"], ["z", "g + 19", "g + 87"], ["g", 19, "106"]], "target_var_name": "b", "target_value": 106, "value_dict": {"g": 19}, "is_reverse": true}} | 6,269 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 19; b = v + 7; s = n + 14; z = g + 19; d = c + 12; a = g + 19; u = z + 17; w = u + 11; p = w + 15; n = e + 1; e = a + 19; v = p + 18; c = s + 9. Given that g = 19, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 18 to b, which gives b = p + 25.\n2. Substitute p = w + 15 to b, which gives b = w + 40.\n3. Substitute w = u + 11 to b, which gives b = u + 51.\n4. Substitute u = z + 17 to b, which gives b = z + 68.\n5. Substitute z = g + 19 to b, which gives b = g + 87.\n6. Substitute g = 19 to b, which gives b = 106.\n\nThus, the final answer is b = \\boxed{106}.",
"index": 6269,
"question": "Suppose a collection of variables is related by the following definitions: g = 19; b = v + 7; s = n + 14; z = g + 19; d = c + 12; a = g + 19; u = z + 17; w = u + 11; p = w + 15; n = e + 1; e = a + 19; v = p + 18; c = s + 9. Given that g = 19, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 11", "s": "j + 18", "r": "s + 7", "z": "r + 1", "l": "z + 2", "b": "l + 7", "n": "h + 17", "u": "n + 12", "q": "u + 13", "v": "q + 10", "d": "v + 17", "a": "d + 3", "h": 8}, "premises": {"h": 8}, "target": "b"}, "answer": {"steps": [["l", "z + 2", "z + 9"], ["z", "r + 1", "r + 10"], ["r", "s + 7", "s + 17"], ["s", "j + 18", "j + 35"], ["j", "h + 11", "h + 46"], ["h", 8, "54"]], "target_var_name": "b", "target_value": 54, "value_dict": {"h": 8}, "is_reverse": true}} | 6,270 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = h + 17; q = u + 13; a = d + 3; r = s + 7; j = h + 11; s = j + 18; d = v + 17; b = l + 7; l = z + 2; u = n + 12; z = r + 1; v = q + 10; h = 8. Given that h = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 2 to b, which gives b = z + 9.\n2. Substitute z = r + 1 to b, which gives b = r + 10.\n3. Substitute r = s + 7 to b, which gives b = s + 17.\n4. Substitute s = j + 18 to b, which gives b = j + 35.\n5. Substitute j = h + 11 to b, which gives b = h + 46.\n6. Substitute h = 8 to b, which gives b = 54.\n\nThus, the final answer is b = \\boxed{54}.",
"index": 6270,
"question": "Suppose a collection of variables is related by the following definitions: n = h + 17; q = u + 13; a = d + 3; r = s + 7; j = h + 11; s = j + 18; d = v + 17; b = l + 7; l = z + 2; u = n + 12; z = r + 1; v = q + 10; h = 8. Given that h = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 7", "k": "v + 6", "y": "k + 18", "u": "y + 2", "m": "u + 2", "n": "m + 12", "e": "p + 20", "b": "e + 18", "l": "b + 2", "g": "l + 20", "d": "g + 17", "t": "d + 17", "p": 2}, "premises": {"p": 2}, "target": "n"}, "answer": {"steps": [["m", "u + 2", "u + 14"], ["u", "y + 2", "y + 16"], ["y", "k + 18", "k + 34"], ["k", "v + 6", "v + 40"], ["v", "p + 7", "p + 47"], ["p", 2, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"p": 2}, "is_reverse": true}} | 6,271 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = b + 2; u = y + 2; n = m + 12; d = g + 17; v = p + 7; e = p + 20; t = d + 17; b = e + 18; p = 2; g = l + 20; y = k + 18; k = v + 6; m = u + 2. If p = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 2 to n, which gives n = u + 14.\n2. Substitute u = y + 2 to n, which gives n = y + 16.\n3. Substitute y = k + 18 to n, which gives n = k + 34.\n4. Substitute k = v + 6 to n, which gives n = v + 40.\n5. Substitute v = p + 7 to n, which gives n = p + 47.\n6. Substitute p = 2 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 6271,
"question": "Consider a system of variables where each variable is defined as follows: l = b + 2; u = y + 2; n = m + 12; d = g + 17; v = p + 7; e = p + 20; t = d + 17; b = e + 18; p = 2; g = l + 20; y = k + 18; k = v + 6; m = u + 2. If p = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 1", "c": "q + 5", "w": "c + 13", "u": "w + 12", "p": "u + 9", "v": "p + 6", "y": "n + 14", "a": "y + 1", "z": "a + 9", "r": "z + 20", "t": "r + 19", "o": "t + 12", "n": 10}, "premises": {"n": 10}, "target": "v"}, "answer": {"steps": [["p", "u + 9", "u + 15"], ["u", "w + 12", "w + 27"], ["w", "c + 13", "c + 40"], ["c", "q + 5", "q + 45"], ["q", "n + 1", "n + 46"], ["n", 10, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"n": 10}, "is_reverse": true}} | 6,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 9; z = a + 9; a = y + 1; t = r + 19; y = n + 14; o = t + 12; q = n + 1; r = z + 20; v = p + 6; c = q + 5; w = c + 13; u = w + 12; n = 10. If n = 10, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 9 to v, which gives v = u + 15.\n2. Substitute u = w + 12 to v, which gives v = w + 27.\n3. Substitute w = c + 13 to v, which gives v = c + 40.\n4. Substitute c = q + 5 to v, which gives v = q + 45.\n5. Substitute q = n + 1 to v, which gives v = n + 46.\n6. Substitute n = 10 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 6272,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 9; z = a + 9; a = y + 1; t = r + 19; y = n + 14; o = t + 12; q = n + 1; r = z + 20; v = p + 6; c = q + 5; w = c + 13; u = w + 12; n = 10. If n = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 20", "r": "k + 3", "n": "r + 17", "l": "n + 2", "z": "l + 5", "j": "z + 13", "a": "i + 4", "e": "a + 7", "b": "e + 2", "w": "b + 20", "c": "w + 12", "d": "c + 1", "i": 7}, "premises": {"i": 7}, "target": "j"}, "answer": {"steps": [["z", "l + 5", "l + 18"], ["l", "n + 2", "n + 20"], ["n", "r + 17", "r + 37"], ["r", "k + 3", "k + 40"], ["k", "i + 20", "i + 60"], ["i", 7, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"i": 7}, "is_reverse": true}} | 6,273 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 2; d = c + 1; e = a + 7; w = b + 20; i = 7; j = z + 13; k = i + 20; a = i + 4; r = k + 3; z = l + 5; c = w + 12; n = r + 17; b = e + 2. If i = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 5 to j, which gives j = l + 18.\n2. Substitute l = n + 2 to j, which gives j = n + 20.\n3. Substitute n = r + 17 to j, which gives j = r + 37.\n4. Substitute r = k + 3 to j, which gives j = k + 40.\n5. Substitute k = i + 20 to j, which gives j = i + 60.\n6. Substitute i = 7 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 6273,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 2; d = c + 1; e = a + 7; w = b + 20; i = 7; j = z + 13; k = i + 20; a = i + 4; r = k + 3; z = l + 5; c = w + 12; n = r + 17; b = e + 2. If i = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 1", "q": "p + 14", "s": "q + 14", "j": "s + 4", "c": "j + 4", "g": "c + 12", "k": "b + 5", "z": "k + 2", "h": "z + 7", "f": "h + 14", "r": "f + 4", "a": "r + 11", "b": 20}, "premises": {"b": 20}, "target": "g"}, "answer": {"steps": [["c", "j + 4", "j + 16"], ["j", "s + 4", "s + 20"], ["s", "q + 14", "q + 34"], ["q", "p + 14", "p + 48"], ["p", "b + 1", "b + 49"], ["b", 20, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"b": 20}, "is_reverse": true}} | 6,274 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 12; b = 20; h = z + 7; f = h + 14; z = k + 2; r = f + 4; q = p + 14; c = j + 4; s = q + 14; a = r + 11; k = b + 5; j = s + 4; p = b + 1. If b = 20, 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 c = j + 4 to g, which gives g = j + 16.\n2. Substitute j = s + 4 to g, which gives g = s + 20.\n3. Substitute s = q + 14 to g, which gives g = q + 34.\n4. Substitute q = p + 14 to g, which gives g = p + 48.\n5. Substitute p = b + 1 to g, which gives g = b + 49.\n6. Substitute b = 20 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 6274,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 12; b = 20; h = z + 7; f = h + 14; z = k + 2; r = f + 4; q = p + 14; c = j + 4; s = q + 14; a = r + 11; k = b + 5; j = s + 4; p = b + 1. If b = 20, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 16", "o": "k + 16", "w": "o + 10", "a": "w + 8", "h": "a + 11", "l": "h + 8", "i": "y + 14", "f": "i + 6", "v": "f + 6", "u": "v + 18", "m": "u + 8", "j": "m + 20", "y": 10}, "premises": {"y": 10}, "target": "l"}, "answer": {"steps": [["h", "a + 11", "a + 19"], ["a", "w + 8", "w + 27"], ["w", "o + 10", "o + 37"], ["o", "k + 16", "k + 53"], ["k", "y + 16", "y + 69"], ["y", 10, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"y": 10}, "is_reverse": true}} | 6,275 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = m + 20; w = o + 10; v = f + 6; a = w + 8; k = y + 16; i = y + 14; m = u + 8; h = a + 11; l = h + 8; y = 10; u = v + 18; f = i + 6; o = k + 16. Given that y = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 11 to l, which gives l = a + 19.\n2. Substitute a = w + 8 to l, which gives l = w + 27.\n3. Substitute w = o + 10 to l, which gives l = o + 37.\n4. Substitute o = k + 16 to l, which gives l = k + 53.\n5. Substitute k = y + 16 to l, which gives l = y + 69.\n6. Substitute y = 10 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 6275,
"question": "Suppose a collection of variables is related by the following definitions: j = m + 20; w = o + 10; v = f + 6; a = w + 8; k = y + 16; i = y + 14; m = u + 8; h = a + 11; l = h + 8; y = 10; u = v + 18; f = i + 6; o = k + 16. Given that y = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 8", "e": "g + 17", "d": "e + 12", "b": "d + 19", "m": "b + 7", "v": "m + 6", "w": "r + 10", "o": "w + 2", "s": "o + 14", "p": "s + 8", "c": "p + 14", "h": "c + 16", "r": 16}, "premises": {"r": 16}, "target": "v"}, "answer": {"steps": [["m", "b + 7", "b + 13"], ["b", "d + 19", "d + 32"], ["d", "e + 12", "e + 44"], ["e", "g + 17", "g + 61"], ["g", "r + 8", "r + 69"], ["r", 16, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"r": 16}, "is_reverse": true}} | 6,276 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 17; b = d + 19; g = r + 8; p = s + 8; w = r + 10; r = 16; h = c + 16; o = w + 2; d = e + 12; s = o + 14; c = p + 14; m = b + 7; v = m + 6. Given that r = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 7 to v, which gives v = b + 13.\n2. Substitute b = d + 19 to v, which gives v = d + 32.\n3. Substitute d = e + 12 to v, which gives v = e + 44.\n4. Substitute e = g + 17 to v, which gives v = g + 61.\n5. Substitute g = r + 8 to v, which gives v = r + 69.\n6. Substitute r = 16 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 6276,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 17; b = d + 19; g = r + 8; p = s + 8; w = r + 10; r = 16; h = c + 16; o = w + 2; d = e + 12; s = o + 14; c = p + 14; m = b + 7; v = m + 6. Given that r = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 16", "m": "a + 14", "u": "m + 14", "h": "u + 19", "i": "h + 15", "q": "i + 3", "x": "d + 2", "z": "x + 2", "k": "z + 20", "p": "k + 11", "e": "p + 18", "r": "e + 5", "d": 20}, "premises": {"d": 20}, "target": "q"}, "answer": {"steps": [["i", "h + 15", "h + 18"], ["h", "u + 19", "u + 37"], ["u", "m + 14", "m + 51"], ["m", "a + 14", "a + 65"], ["a", "d + 16", "d + 81"], ["d", 20, "101"]], "target_var_name": "q", "target_value": 101, "value_dict": {"d": 20}, "is_reverse": true}} | 6,277 | 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 = p + 18; a = d + 16; u = m + 14; r = e + 5; x = d + 2; i = h + 15; z = x + 2; h = u + 19; d = 20; p = k + 11; m = a + 14; q = i + 3; k = z + 20. If d = 20, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 15 to q, which gives q = h + 18.\n2. Substitute h = u + 19 to q, which gives q = u + 37.\n3. Substitute u = m + 14 to q, which gives q = m + 51.\n4. Substitute m = a + 14 to q, which gives q = a + 65.\n5. Substitute a = d + 16 to q, which gives q = d + 81.\n6. Substitute d = 20 to q, which gives q = 101.\n\nThus, the final answer is q = \\boxed{101}.",
"index": 6277,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 18; a = d + 16; u = m + 14; r = e + 5; x = d + 2; i = h + 15; z = x + 2; h = u + 19; d = 20; p = k + 11; m = a + 14; q = i + 3; k = z + 20. If d = 20, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 6", "d": "z + 5", "v": "d + 18", "i": "v + 6", "t": "i + 4", "q": "t + 10", "p": "y + 18", "h": "p + 13", "x": "h + 4", "s": "x + 11", "m": "s + 17", "n": "m + 10", "y": 10}, "premises": {"y": 10}, "target": "q"}, "answer": {"steps": [["t", "i + 4", "i + 14"], ["i", "v + 6", "v + 20"], ["v", "d + 18", "d + 38"], ["d", "z + 5", "z + 43"], ["z", "y + 6", "y + 49"], ["y", 10, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"y": 10}, "is_reverse": true}} | 6,278 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 10; z = y + 6; h = p + 13; v = d + 18; n = m + 10; y = 10; m = s + 17; t = i + 4; p = y + 18; i = v + 6; x = h + 4; s = x + 11; d = z + 5. Given that y = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 4 to q, which gives q = i + 14.\n2. Substitute i = v + 6 to q, which gives q = v + 20.\n3. Substitute v = d + 18 to q, which gives q = d + 38.\n4. Substitute d = z + 5 to q, which gives q = z + 43.\n5. Substitute z = y + 6 to q, which gives q = y + 49.\n6. Substitute y = 10 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 6278,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 10; z = y + 6; h = p + 13; v = d + 18; n = m + 10; y = 10; m = s + 17; t = i + 4; p = y + 18; i = v + 6; x = h + 4; s = x + 11; d = z + 5. Given that y = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 3", "f": "a + 18", "w": "f + 8", "x": "w + 11", "o": "x + 15", "p": "o + 13", "m": "s + 11", "k": "m + 6", "y": "k + 2", "u": "y + 4", "t": "u + 9", "h": "t + 11", "s": 13}, "premises": {"s": 13}, "target": "p"}, "answer": {"steps": [["o", "x + 15", "x + 28"], ["x", "w + 11", "w + 39"], ["w", "f + 8", "f + 47"], ["f", "a + 18", "a + 65"], ["a", "s + 3", "s + 68"], ["s", 13, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"s": 13}, "is_reverse": true}} | 6,279 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 9; x = w + 11; f = a + 18; o = x + 15; h = t + 11; s = 13; p = o + 13; y = k + 2; m = s + 11; u = y + 4; k = m + 6; w = f + 8; a = s + 3. If s = 13, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 15 to p, which gives p = x + 28.\n2. Substitute x = w + 11 to p, which gives p = w + 39.\n3. Substitute w = f + 8 to p, which gives p = f + 47.\n4. Substitute f = a + 18 to p, which gives p = a + 65.\n5. Substitute a = s + 3 to p, which gives p = s + 68.\n6. Substitute s = 13 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 6279,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 9; x = w + 11; f = a + 18; o = x + 15; h = t + 11; s = 13; p = o + 13; y = k + 2; m = s + 11; u = y + 4; k = m + 6; w = f + 8; a = s + 3. If s = 13, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 1", "v": "w + 14", "n": "v + 16", "y": "n + 11", "h": "y + 17", "q": "h + 10", "b": "g + 6", "u": "b + 12", "j": "u + 3", "k": "j + 7", "z": "k + 18", "i": "z + 10", "g": 16}, "premises": {"g": 16}, "target": "q"}, "answer": {"steps": [["h", "y + 17", "y + 27"], ["y", "n + 11", "n + 38"], ["n", "v + 16", "v + 54"], ["v", "w + 14", "w + 68"], ["w", "g + 1", "g + 69"], ["g", 16, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"g": 16}, "is_reverse": true}} | 6,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 18; g = 16; y = n + 11; b = g + 6; q = h + 10; w = g + 1; v = w + 14; i = z + 10; k = j + 7; j = u + 3; n = v + 16; h = y + 17; u = b + 12. If g = 16, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 17 to q, which gives q = y + 27.\n2. Substitute y = n + 11 to q, which gives q = n + 38.\n3. Substitute n = v + 16 to q, which gives q = v + 54.\n4. Substitute v = w + 14 to q, which gives q = w + 68.\n5. Substitute w = g + 1 to q, which gives q = g + 69.\n6. Substitute g = 16 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 6280,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 18; g = 16; y = n + 11; b = g + 6; q = h + 10; w = g + 1; v = w + 14; i = z + 10; k = j + 7; j = u + 3; n = v + 16; h = y + 17; u = b + 12. If g = 16, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 16", "k": "j + 5", "m": "k + 7", "w": "m + 4", "f": "w + 5", "v": "f + 14", "x": "o + 18", "n": "x + 14", "l": "n + 10", "h": "l + 10", "g": "h + 4", "z": "g + 10", "o": 18}, "premises": {"o": 18}, "target": "v"}, "answer": {"steps": [["f", "w + 5", "w + 19"], ["w", "m + 4", "m + 23"], ["m", "k + 7", "k + 30"], ["k", "j + 5", "j + 35"], ["j", "o + 16", "o + 51"], ["o", 18, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"o": 18}, "is_reverse": true}} | 6,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = o + 18; j = o + 16; h = l + 10; v = f + 14; g = h + 4; l = n + 10; f = w + 5; k = j + 5; z = g + 10; m = k + 7; n = x + 14; w = m + 4; o = 18. Given that o = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 5 to v, which gives v = w + 19.\n2. Substitute w = m + 4 to v, which gives v = m + 23.\n3. Substitute m = k + 7 to v, which gives v = k + 30.\n4. Substitute k = j + 5 to v, which gives v = j + 35.\n5. Substitute j = o + 16 to v, which gives v = o + 51.\n6. Substitute o = 18 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 6281,
"question": "Suppose a collection of variables is related by the following definitions: x = o + 18; j = o + 16; h = l + 10; v = f + 14; g = h + 4; l = n + 10; f = w + 5; k = j + 5; z = g + 10; m = k + 7; n = x + 14; w = m + 4; o = 18. Given that o = 18, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 17", "s": "o + 4", "t": "s + 10", "y": "t + 17", "q": "y + 17", "a": "q + 19", "n": "b + 7", "j": "n + 13", "x": "j + 12", "w": "x + 12", "d": "w + 12", "i": "d + 9", "b": 6}, "premises": {"b": 6}, "target": "a"}, "answer": {"steps": [["q", "y + 17", "y + 36"], ["y", "t + 17", "t + 53"], ["t", "s + 10", "s + 63"], ["s", "o + 4", "o + 67"], ["o", "b + 17", "b + 84"], ["b", 6, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"b": 6}, "is_reverse": true}} | 6,282 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 17; i = d + 9; a = q + 19; q = y + 17; d = w + 12; x = j + 12; s = o + 4; b = 6; t = s + 10; w = x + 12; y = t + 17; n = b + 7; j = n + 13. If b = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 17 to a, which gives a = y + 36.\n2. Substitute y = t + 17 to a, which gives a = t + 53.\n3. Substitute t = s + 10 to a, which gives a = s + 63.\n4. Substitute s = o + 4 to a, which gives a = o + 67.\n5. Substitute o = b + 17 to a, which gives a = b + 84.\n6. Substitute b = 6 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 6282,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 17; i = d + 9; a = q + 19; q = y + 17; d = w + 12; x = j + 12; s = o + 4; b = 6; t = s + 10; w = x + 12; y = t + 17; n = b + 7; j = n + 13. If b = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 2", "f": "q + 8", "d": "f + 11", "j": "d + 14", "b": "j + 8", "e": "b + 10", "g": "u + 9", "i": "g + 17", "l": "i + 17", "k": "l + 19", "o": "k + 10", "y": "o + 8", "u": 10}, "premises": {"u": 10}, "target": "e"}, "answer": {"steps": [["b", "j + 8", "j + 18"], ["j", "d + 14", "d + 32"], ["d", "f + 11", "f + 43"], ["f", "q + 8", "q + 51"], ["q", "u + 2", "u + 53"], ["u", 10, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"u": 10}, "is_reverse": true}} | 6,283 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 10; i = g + 17; e = b + 10; o = k + 10; l = i + 17; j = d + 14; f = q + 8; d = f + 11; k = l + 19; g = u + 9; y = o + 8; q = u + 2; b = j + 8. Given that u = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 8 to e, which gives e = j + 18.\n2. Substitute j = d + 14 to e, which gives e = d + 32.\n3. Substitute d = f + 11 to e, which gives e = f + 43.\n4. Substitute f = q + 8 to e, which gives e = q + 51.\n5. Substitute q = u + 2 to e, which gives e = u + 53.\n6. Substitute u = 10 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 6283,
"question": "Suppose a collection of variables is related by the following definitions: u = 10; i = g + 17; e = b + 10; o = k + 10; l = i + 17; j = d + 14; f = q + 8; d = f + 11; k = l + 19; g = u + 9; y = o + 8; q = u + 2; b = j + 8. Given that u = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 13", "c": "a + 4", "k": "c + 14", "p": "k + 11", "d": "p + 19", "l": "d + 3", "y": "f + 16", "n": "y + 20", "w": "n + 9", "x": "w + 11", "z": "x + 6", "i": "z + 6", "f": 15}, "premises": {"f": 15}, "target": "l"}, "answer": {"steps": [["d", "p + 19", "p + 22"], ["p", "k + 11", "k + 33"], ["k", "c + 14", "c + 47"], ["c", "a + 4", "a + 51"], ["a", "f + 13", "f + 64"], ["f", 15, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"f": 15}, "is_reverse": true}} | 6,284 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 4; x = w + 11; y = f + 16; z = x + 6; f = 15; k = c + 14; p = k + 11; a = f + 13; i = z + 6; l = d + 3; d = p + 19; n = y + 20; w = n + 9. If f = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 19 to l, which gives l = p + 22.\n2. Substitute p = k + 11 to l, which gives l = k + 33.\n3. Substitute k = c + 14 to l, which gives l = c + 47.\n4. Substitute c = a + 4 to l, which gives l = a + 51.\n5. Substitute a = f + 13 to l, which gives l = f + 64.\n6. Substitute f = 15 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 6284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 4; x = w + 11; y = f + 16; z = x + 6; f = 15; k = c + 14; p = k + 11; a = f + 13; i = z + 6; l = d + 3; d = p + 19; n = y + 20; w = n + 9. If f = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 12", "p": "m + 9", "n": "p + 9", "u": "n + 2", "s": "u + 8", "o": "s + 17", "v": "w + 16", "k": "v + 13", "z": "k + 11", "x": "z + 2", "f": "x + 8", "b": "f + 11", "w": 8}, "premises": {"w": 8}, "target": "o"}, "answer": {"steps": [["s", "u + 8", "u + 25"], ["u", "n + 2", "n + 27"], ["n", "p + 9", "p + 36"], ["p", "m + 9", "m + 45"], ["m", "w + 12", "w + 57"], ["w", 8, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"w": 8}, "is_reverse": true}} | 6,285 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = w + 12; p = m + 9; n = p + 9; x = z + 2; w = 8; u = n + 2; z = k + 11; v = w + 16; o = s + 17; b = f + 11; s = u + 8; k = v + 13; f = x + 8. If w = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 8 to o, which gives o = u + 25.\n2. Substitute u = n + 2 to o, which gives o = n + 27.\n3. Substitute n = p + 9 to o, which gives o = p + 36.\n4. Substitute p = m + 9 to o, which gives o = m + 45.\n5. Substitute m = w + 12 to o, which gives o = w + 57.\n6. Substitute w = 8 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 6285,
"question": "Consider a system of variables where each variable is defined as follows: m = w + 12; p = m + 9; n = p + 9; x = z + 2; w = 8; u = n + 2; z = k + 11; v = w + 16; o = s + 17; b = f + 11; s = u + 8; k = v + 13; f = x + 8. If w = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 7", "v": "h + 14", "d": "v + 4", "q": "d + 16", "k": "q + 4", "n": "k + 12", "j": "r + 20", "s": "j + 4", "e": "s + 5", "o": "e + 15", "c": "o + 6", "x": "c + 6", "r": 1}, "premises": {"r": 1}, "target": "n"}, "answer": {"steps": [["k", "q + 4", "q + 16"], ["q", "d + 16", "d + 32"], ["d", "v + 4", "v + 36"], ["v", "h + 14", "h + 50"], ["h", "r + 7", "r + 57"], ["r", 1, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"r": 1}, "is_reverse": true}} | 6,286 | 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 + 20; h = r + 7; n = k + 12; r = 1; d = v + 4; q = d + 16; c = o + 6; v = h + 14; e = s + 5; s = j + 4; k = q + 4; x = c + 6; o = e + 15. If r = 1, 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 k = q + 4 to n, which gives n = q + 16.\n2. Substitute q = d + 16 to n, which gives n = d + 32.\n3. Substitute d = v + 4 to n, which gives n = v + 36.\n4. Substitute v = h + 14 to n, which gives n = h + 50.\n5. Substitute h = r + 7 to n, which gives n = r + 57.\n6. Substitute r = 1 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 6286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 20; h = r + 7; n = k + 12; r = 1; d = v + 4; q = d + 16; c = o + 6; v = h + 14; e = s + 5; s = j + 4; k = q + 4; x = c + 6; o = e + 15. If r = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 12", "m": "p + 14", "o": "m + 16", "y": "o + 10", "x": "y + 18", "k": "x + 11", "e": "n + 15", "v": "e + 2", "z": "v + 15", "d": "z + 20", "r": "d + 9", "b": "r + 4", "n": 13}, "premises": {"n": 13}, "target": "k"}, "answer": {"steps": [["x", "y + 18", "y + 29"], ["y", "o + 10", "o + 39"], ["o", "m + 16", "m + 55"], ["m", "p + 14", "p + 69"], ["p", "n + 12", "n + 81"], ["n", 13, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"n": 13}, "is_reverse": true}} | 6,287 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 9; p = n + 12; n = 13; b = r + 4; o = m + 16; e = n + 15; k = x + 11; d = z + 20; v = e + 2; m = p + 14; y = o + 10; z = v + 15; x = y + 18. If n = 13, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 18 to k, which gives k = y + 29.\n2. Substitute y = o + 10 to k, which gives k = o + 39.\n3. Substitute o = m + 16 to k, which gives k = m + 55.\n4. Substitute m = p + 14 to k, which gives k = p + 69.\n5. Substitute p = n + 12 to k, which gives k = n + 81.\n6. Substitute n = 13 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 6287,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 9; p = n + 12; n = 13; b = r + 4; o = m + 16; e = n + 15; k = x + 11; d = z + 20; v = e + 2; m = p + 14; y = o + 10; z = v + 15; x = y + 18. If n = 13, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 15", "k": "d + 19", "y": "k + 17", "p": "y + 10", "x": "p + 18", "t": "x + 17", "q": "n + 7", "b": "q + 15", "s": "b + 5", "r": "s + 17", "a": "r + 18", "c": "a + 13", "n": 20}, "premises": {"n": 20}, "target": "t"}, "answer": {"steps": [["x", "p + 18", "p + 35"], ["p", "y + 10", "y + 45"], ["y", "k + 17", "k + 62"], ["k", "d + 19", "d + 81"], ["d", "n + 15", "n + 96"], ["n", 20, "116"]], "target_var_name": "t", "target_value": 116, "value_dict": {"n": 20}, "is_reverse": true}} | 6,288 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 15; t = x + 17; a = r + 18; c = a + 13; n = 20; p = y + 10; s = b + 5; q = n + 7; k = d + 19; x = p + 18; r = s + 17; d = n + 15; y = k + 17. If n = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 18 to t, which gives t = p + 35.\n2. Substitute p = y + 10 to t, which gives t = y + 45.\n3. Substitute y = k + 17 to t, which gives t = k + 62.\n4. Substitute k = d + 19 to t, which gives t = d + 81.\n5. Substitute d = n + 15 to t, which gives t = n + 96.\n6. Substitute n = 20 to t, which gives t = 116.\n\nThus, the final answer is t = \\boxed{116}.",
"index": 6288,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 15; t = x + 17; a = r + 18; c = a + 13; n = 20; p = y + 10; s = b + 5; q = n + 7; k = d + 19; x = p + 18; r = s + 17; d = n + 15; y = k + 17. If n = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 14", "t": "c + 16", "u": "t + 11", "h": "u + 6", "d": "h + 10", "b": "d + 3", "f": "r + 15", "n": "f + 15", "g": "n + 14", "v": "g + 10", "x": "v + 1", "o": "x + 14", "r": 13}, "premises": {"r": 13}, "target": "b"}, "answer": {"steps": [["d", "h + 10", "h + 13"], ["h", "u + 6", "u + 19"], ["u", "t + 11", "t + 30"], ["t", "c + 16", "c + 46"], ["c", "r + 14", "r + 60"], ["r", 13, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"r": 13}, "is_reverse": true}} | 6,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 10; h = u + 6; t = c + 16; g = n + 14; b = d + 3; v = g + 10; o = x + 14; u = t + 11; x = v + 1; r = 13; f = r + 15; c = r + 14; n = f + 15. Given that r = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 10 to b, which gives b = h + 13.\n2. Substitute h = u + 6 to b, which gives b = u + 19.\n3. Substitute u = t + 11 to b, which gives b = t + 30.\n4. Substitute t = c + 16 to b, which gives b = c + 46.\n5. Substitute c = r + 14 to b, which gives b = r + 60.\n6. Substitute r = 13 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 6289,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 10; h = u + 6; t = c + 16; g = n + 14; b = d + 3; v = g + 10; o = x + 14; u = t + 11; x = v + 1; r = 13; f = r + 15; c = r + 14; n = f + 15. Given that r = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 2", "l": "f + 3", "c": "l + 4", "d": "c + 3", "u": "d + 13", "a": "u + 12", "p": "j + 16", "o": "p + 1", "i": "o + 14", "s": "i + 2", "v": "s + 3", "q": "v + 3", "j": 20}, "premises": {"j": 20}, "target": "a"}, "answer": {"steps": [["u", "d + 13", "d + 25"], ["d", "c + 3", "c + 28"], ["c", "l + 4", "l + 32"], ["l", "f + 3", "f + 35"], ["f", "j + 2", "j + 37"], ["j", 20, "57"]], "target_var_name": "a", "target_value": 57, "value_dict": {"j": 20}, "is_reverse": true}} | 6,290 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 3; v = s + 3; f = j + 2; c = l + 4; q = v + 3; a = u + 12; p = j + 16; d = c + 3; u = d + 13; i = o + 14; s = i + 2; j = 20; o = p + 1. Given that j = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 13 to a, which gives a = d + 25.\n2. Substitute d = c + 3 to a, which gives a = c + 28.\n3. Substitute c = l + 4 to a, which gives a = l + 32.\n4. Substitute l = f + 3 to a, which gives a = f + 35.\n5. Substitute f = j + 2 to a, which gives a = j + 37.\n6. Substitute j = 20 to a, which gives a = 57.\n\nThus, the final answer is a = \\boxed{57}.",
"index": 6290,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 3; v = s + 3; f = j + 2; c = l + 4; q = v + 3; a = u + 12; p = j + 16; d = c + 3; u = d + 13; i = o + 14; s = i + 2; j = 20; o = p + 1. Given that j = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 4", "t": "d + 16", "p": "t + 5", "l": "p + 20", "k": "l + 12", "q": "k + 19", "f": "v + 8", "j": "f + 2", "y": "j + 6", "e": "y + 1", "a": "e + 7", "s": "a + 10", "v": 15}, "premises": {"v": 15}, "target": "q"}, "answer": {"steps": [["k", "l + 12", "l + 31"], ["l", "p + 20", "p + 51"], ["p", "t + 5", "t + 56"], ["t", "d + 16", "d + 72"], ["d", "v + 4", "v + 76"], ["v", 15, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"v": 15}, "is_reverse": true}} | 6,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 2; q = k + 19; f = v + 8; p = t + 5; t = d + 16; k = l + 12; e = y + 1; s = a + 10; l = p + 20; a = e + 7; v = 15; y = j + 6; d = v + 4. If v = 15, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 12 to q, which gives q = l + 31.\n2. Substitute l = p + 20 to q, which gives q = p + 51.\n3. Substitute p = t + 5 to q, which gives q = t + 56.\n4. Substitute t = d + 16 to q, which gives q = d + 72.\n5. Substitute d = v + 4 to q, which gives q = v + 76.\n6. Substitute v = 15 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 6291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 2; q = k + 19; f = v + 8; p = t + 5; t = d + 16; k = l + 12; e = y + 1; s = a + 10; l = p + 20; a = e + 7; v = 15; y = j + 6; d = v + 4. If v = 15, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 1", "x": "c + 18", "m": "x + 9", "w": "m + 9", "z": "w + 12", "f": "z + 7", "v": "n + 1", "u": "v + 7", "i": "u + 13", "y": "i + 19", "q": "y + 18", "t": "q + 13", "n": 12}, "premises": {"n": 12}, "target": "f"}, "answer": {"steps": [["z", "w + 12", "w + 19"], ["w", "m + 9", "m + 28"], ["m", "x + 9", "x + 37"], ["x", "c + 18", "c + 55"], ["c", "n + 1", "n + 56"], ["n", 12, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"n": 12}, "is_reverse": true}} | 6,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = q + 13; c = n + 1; q = y + 18; n = 12; i = u + 13; f = z + 7; v = n + 1; u = v + 7; x = c + 18; w = m + 9; z = w + 12; y = i + 19; m = x + 9. If n = 12, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 12 to f, which gives f = w + 19.\n2. Substitute w = m + 9 to f, which gives f = m + 28.\n3. Substitute m = x + 9 to f, which gives f = x + 37.\n4. Substitute x = c + 18 to f, which gives f = c + 55.\n5. Substitute c = n + 1 to f, which gives f = n + 56.\n6. Substitute n = 12 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 6292,
"question": "Consider a system of variables where each variable is defined as follows: t = q + 13; c = n + 1; q = y + 18; n = 12; i = u + 13; f = z + 7; v = n + 1; u = v + 7; x = c + 18; w = m + 9; z = w + 12; y = i + 19; m = x + 9. If n = 12, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 1", "f": "b + 12", "h": "f + 9", "s": "h + 20", "r": "s + 6", "c": "r + 18", "q": "j + 19", "g": "q + 16", "t": "g + 10", "d": "t + 5", "e": "d + 3", "a": "e + 3", "j": 1}, "premises": {"j": 1}, "target": "c"}, "answer": {"steps": [["r", "s + 6", "s + 24"], ["s", "h + 20", "h + 44"], ["h", "f + 9", "f + 53"], ["f", "b + 12", "b + 65"], ["b", "j + 1", "j + 66"], ["j", 1, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"j": 1}, "is_reverse": true}} | 6,293 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = f + 9; e = d + 3; c = r + 18; a = e + 3; s = h + 20; q = j + 19; g = q + 16; t = g + 10; r = s + 6; f = b + 12; j = 1; d = t + 5; b = j + 1. Given that j = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 6 to c, which gives c = s + 24.\n2. Substitute s = h + 20 to c, which gives c = h + 44.\n3. Substitute h = f + 9 to c, which gives c = f + 53.\n4. Substitute f = b + 12 to c, which gives c = b + 65.\n5. Substitute b = j + 1 to c, which gives c = j + 66.\n6. Substitute j = 1 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 6293,
"question": "Suppose a collection of variables is related by the following definitions: h = f + 9; e = d + 3; c = r + 18; a = e + 3; s = h + 20; q = j + 19; g = q + 16; t = g + 10; r = s + 6; f = b + 12; j = 1; d = t + 5; b = j + 1. Given that j = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 20", "c": "q + 15", "p": "c + 17", "f": "p + 10", "m": "f + 8", "s": "m + 1", "z": "w + 1", "e": "z + 5", "d": "e + 5", "b": "d + 17", "u": "b + 8", "j": "u + 10", "w": 12}, "premises": {"w": 12}, "target": "s"}, "answer": {"steps": [["m", "f + 8", "f + 9"], ["f", "p + 10", "p + 19"], ["p", "c + 17", "c + 36"], ["c", "q + 15", "q + 51"], ["q", "w + 20", "w + 71"], ["w", 12, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"w": 12}, "is_reverse": true}} | 6,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 1; m = f + 8; e = z + 5; f = p + 10; u = b + 8; b = d + 17; s = m + 1; c = q + 15; w = 12; j = u + 10; p = c + 17; q = w + 20; d = e + 5. Given that w = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 8 to s, which gives s = f + 9.\n2. Substitute f = p + 10 to s, which gives s = p + 19.\n3. Substitute p = c + 17 to s, which gives s = c + 36.\n4. Substitute c = q + 15 to s, which gives s = q + 51.\n5. Substitute q = w + 20 to s, which gives s = w + 71.\n6. Substitute w = 12 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 6294,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 1; m = f + 8; e = z + 5; f = p + 10; u = b + 8; b = d + 17; s = m + 1; c = q + 15; w = 12; j = u + 10; p = c + 17; q = w + 20; d = e + 5. Given that w = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 9", "n": "z + 6", "c": "n + 3", "l": "c + 10", "f": "l + 10", "v": "f + 16", "o": "y + 11", "a": "o + 9", "i": "a + 4", "d": "i + 15", "b": "d + 8", "e": "b + 18", "y": 16}, "premises": {"y": 16}, "target": "v"}, "answer": {"steps": [["f", "l + 10", "l + 26"], ["l", "c + 10", "c + 36"], ["c", "n + 3", "n + 39"], ["n", "z + 6", "z + 45"], ["z", "y + 9", "y + 54"], ["y", 16, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"y": 16}, "is_reverse": true}} | 6,295 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 9; o = y + 11; z = y + 9; b = d + 8; e = b + 18; n = z + 6; c = n + 3; y = 16; v = f + 16; i = a + 4; f = l + 10; d = i + 15; l = c + 10. If y = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 10 to v, which gives v = l + 26.\n2. Substitute l = c + 10 to v, which gives v = c + 36.\n3. Substitute c = n + 3 to v, which gives v = n + 39.\n4. Substitute n = z + 6 to v, which gives v = z + 45.\n5. Substitute z = y + 9 to v, which gives v = y + 54.\n6. Substitute y = 16 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 6295,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 9; o = y + 11; z = y + 9; b = d + 8; e = b + 18; n = z + 6; c = n + 3; y = 16; v = f + 16; i = a + 4; f = l + 10; d = i + 15; l = c + 10. If y = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 10", "y": "v + 10", "n": "y + 10", "b": "n + 14", "f": "b + 2", "u": "f + 6", "k": "m + 4", "q": "k + 19", "z": "q + 19", "i": "z + 1", "j": "i + 10", "p": "j + 20", "m": 8}, "premises": {"m": 8}, "target": "u"}, "answer": {"steps": [["f", "b + 2", "b + 8"], ["b", "n + 14", "n + 22"], ["n", "y + 10", "y + 32"], ["y", "v + 10", "v + 42"], ["v", "m + 10", "m + 52"], ["m", 8, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"m": 8}, "is_reverse": true}} | 6,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = m + 4; q = k + 19; i = z + 1; p = j + 20; f = b + 2; n = y + 10; z = q + 19; b = n + 14; u = f + 6; y = v + 10; m = 8; j = i + 10; v = m + 10. If m = 8, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 2 to u, which gives u = b + 8.\n2. Substitute b = n + 14 to u, which gives u = n + 22.\n3. Substitute n = y + 10 to u, which gives u = y + 32.\n4. Substitute y = v + 10 to u, which gives u = v + 42.\n5. Substitute v = m + 10 to u, which gives u = m + 52.\n6. Substitute m = 8 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 6296,
"question": "Consider a system of variables where each variable is defined as follows: k = m + 4; q = k + 19; i = z + 1; p = j + 20; f = b + 2; n = y + 10; z = q + 19; b = n + 14; u = f + 6; y = v + 10; m = 8; j = i + 10; v = m + 10. If m = 8, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 6", "a": "f + 16", "h": "a + 3", "i": "h + 18", "m": "i + 3", "s": "m + 10", "b": "n + 13", "k": "b + 2", "d": "k + 15", "r": "d + 19", "z": "r + 5", "v": "z + 13", "n": 4}, "premises": {"n": 4}, "target": "s"}, "answer": {"steps": [["m", "i + 3", "i + 13"], ["i", "h + 18", "h + 31"], ["h", "a + 3", "a + 34"], ["a", "f + 16", "f + 50"], ["f", "n + 6", "n + 56"], ["n", 4, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"n": 4}, "is_reverse": true}} | 6,297 | 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 = z + 13; s = m + 10; n = 4; d = k + 15; h = a + 3; b = n + 13; m = i + 3; r = d + 19; f = n + 6; k = b + 2; i = h + 18; a = f + 16; z = r + 5. If n = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 3 to s, which gives s = i + 13.\n2. Substitute i = h + 18 to s, which gives s = h + 31.\n3. Substitute h = a + 3 to s, which gives s = a + 34.\n4. Substitute a = f + 16 to s, which gives s = f + 50.\n5. Substitute f = n + 6 to s, which gives s = n + 56.\n6. Substitute n = 4 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 6297,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 13; s = m + 10; n = 4; d = k + 15; h = a + 3; b = n + 13; m = i + 3; r = d + 19; f = n + 6; k = b + 2; i = h + 18; a = f + 16; z = r + 5. If n = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 12", "h": "l + 15", "e": "h + 4", "f": "e + 19", "v": "f + 11", "t": "v + 18", "i": "q + 15", "n": "i + 14", "d": "n + 1", "o": "d + 1", "k": "o + 12", "w": "k + 8", "q": 5}, "premises": {"q": 5}, "target": "t"}, "answer": {"steps": [["v", "f + 11", "f + 29"], ["f", "e + 19", "e + 48"], ["e", "h + 4", "h + 52"], ["h", "l + 15", "l + 67"], ["l", "q + 12", "q + 79"], ["q", 5, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"q": 5}, "is_reverse": true}} | 6,298 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 15; l = q + 12; o = d + 1; w = k + 8; i = q + 15; v = f + 11; t = v + 18; f = e + 19; d = n + 1; q = 5; n = i + 14; e = h + 4; k = o + 12. If q = 5, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 11 to t, which gives t = f + 29.\n2. Substitute f = e + 19 to t, which gives t = e + 48.\n3. Substitute e = h + 4 to t, which gives t = h + 52.\n4. Substitute h = l + 15 to t, which gives t = l + 67.\n5. Substitute l = q + 12 to t, which gives t = q + 79.\n6. Substitute q = 5 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 6298,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 15; l = q + 12; o = d + 1; w = k + 8; i = q + 15; v = f + 11; t = v + 18; f = e + 19; d = n + 1; q = 5; n = i + 14; e = h + 4; k = o + 12. If q = 5, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 19", "l": "c + 19", "r": "l + 5", "p": "r + 20", "a": "p + 8", "i": "a + 17", "u": "d + 9", "y": "u + 17", "w": "y + 4", "o": "w + 7", "q": "o + 20", "e": "q + 17", "d": 1}, "premises": {"d": 1}, "target": "i"}, "answer": {"steps": [["a", "p + 8", "p + 25"], ["p", "r + 20", "r + 45"], ["r", "l + 5", "l + 50"], ["l", "c + 19", "c + 69"], ["c", "d + 19", "d + 88"], ["d", 1, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"d": 1}, "is_reverse": true}} | 6,299 | 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 = a + 17; e = q + 17; c = d + 19; q = o + 20; d = 1; l = c + 19; y = u + 17; a = p + 8; p = r + 20; r = l + 5; w = y + 4; o = w + 7; u = d + 9. If d = 1, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 8 to i, which gives i = p + 25.\n2. Substitute p = r + 20 to i, which gives i = r + 45.\n3. Substitute r = l + 5 to i, which gives i = l + 50.\n4. Substitute l = c + 19 to i, which gives i = c + 69.\n5. Substitute c = d + 19 to i, which gives i = d + 88.\n6. Substitute d = 1 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 6299,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 17; e = q + 17; c = d + 19; q = o + 20; d = 1; l = c + 19; y = u + 17; a = p + 8; p = r + 20; r = l + 5; w = y + 4; o = w + 7; u = d + 9. If d = 1, what is the resulting value of i?",
"split": "train"
} |
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