meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"l": "e + 8", "h": "l + 16", "b": "h + 19", "a": "b + 16", "w": "a + 9", "c": "w + 3", "s": "e + 19", "v": "s + 11", "i": "v + 20", "n": "i + 1", "t": "n + 10", "m": "t + 9", "e": 6}, "premises": {"e": 6}, "target": "c"}, "answer": {"steps": [["w", "a + 9", "a + 12"], ["a", "b + 16", "b + 28"], ["b", "h + 19", "h + 47"], ["h", "l + 16", "l + 63"], ["l", "e + 8", "e + 71"], ["e", 6, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"e": 6}, "is_reverse": true}} | 20,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 3; s = e + 19; w = a + 9; t = n + 10; m = t + 9; h = l + 16; a = b + 16; l = e + 8; e = 6; b = h + 19; n = i + 1; v = s + 11; i = v + 20. If e = 6, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 9 to c, which gives c = a + 12.\n2. Substitute a = b + 16 to c, which gives c = b + 28.\n3. Substitute b = h + 19 to c, which gives c = h + 47.\n4. Substitute h = l + 16 to c, which gives c = l + 63.\n5. Substitute l = e + 8 to c, which gives c = e + 71.\n6. Substitute e = 6 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 20100,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 3; s = e + 19; w = a + 9; t = n + 10; m = t + 9; h = l + 16; a = b + 16; l = e + 8; e = 6; b = h + 19; n = i + 1; v = s + 11; i = v + 20. If e = 6, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 6", "d": "t + 10", "v": "d + 10", "q": "v + 18", "x": "q + 15", "s": "x + 10", "g": "o + 19", "m": "g + 16", "e": "m + 6", "w": "e + 19", "c": "w + 20", "u": "c + 17", "o": 3}, "premises": {"o": 3}, "target": "s"}, "answer": {"steps": [["x", "q + 15", "q + 25"], ["q", "v + 18", "v + 43"], ["v", "d + 10", "d + 53"], ["d", "t + 10", "t + 63"], ["t", "o + 6", "o + 69"], ["o", 3, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"o": 3}, "is_reverse": true}} | 20,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 17; w = e + 19; c = w + 20; s = x + 10; v = d + 10; x = q + 15; g = o + 19; o = 3; t = o + 6; d = t + 10; e = m + 6; q = v + 18; m = g + 16. If o = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 15 to s, which gives s = q + 25.\n2. Substitute q = v + 18 to s, which gives s = v + 43.\n3. Substitute v = d + 10 to s, which gives s = d + 53.\n4. Substitute d = t + 10 to s, which gives s = t + 63.\n5. Substitute t = o + 6 to s, which gives s = o + 69.\n6. Substitute o = 3 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 20101,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 17; w = e + 19; c = w + 20; s = x + 10; v = d + 10; x = q + 15; g = o + 19; o = 3; t = o + 6; d = t + 10; e = m + 6; q = v + 18; m = g + 16. If o = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 17", "b": "z + 10", "g": "b + 10", "y": "g + 2", "c": "y + 3", "r": "c + 1", "m": "t + 7", "l": "m + 12", "v": "l + 5", "x": "v + 18", "h": "x + 9", "f": "h + 19", "t": 1}, "premises": {"t": 1}, "target": "r"}, "answer": {"steps": [["c", "y + 3", "y + 4"], ["y", "g + 2", "g + 6"], ["g", "b + 10", "b + 16"], ["b", "z + 10", "z + 26"], ["z", "t + 17", "t + 43"], ["t", 1, "44"]], "target_var_name": "r", "target_value": 44, "value_dict": {"t": 1}, "is_reverse": true}} | 20,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 1; g = b + 10; h = x + 9; y = g + 2; x = v + 18; m = t + 7; z = t + 17; c = y + 3; r = c + 1; l = m + 12; b = z + 10; f = h + 19; v = l + 5. If t = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 3 to r, which gives r = y + 4.\n2. Substitute y = g + 2 to r, which gives r = g + 6.\n3. Substitute g = b + 10 to r, which gives r = b + 16.\n4. Substitute b = z + 10 to r, which gives r = z + 26.\n5. Substitute z = t + 17 to r, which gives r = t + 43.\n6. Substitute t = 1 to r, which gives r = 44.\n\nThus, the final answer is r = \\boxed{44}.",
"index": 20102,
"question": "Consider a system of variables where each variable is defined as follows: t = 1; g = b + 10; h = x + 9; y = g + 2; x = v + 18; m = t + 7; z = t + 17; c = y + 3; r = c + 1; l = m + 12; b = z + 10; f = h + 19; v = l + 5. If t = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 12", "u": "q + 15", "a": "u + 14", "l": "a + 16", "y": "l + 16", "r": "y + 10", "d": "p + 14", "k": "d + 5", "f": "k + 1", "b": "f + 2", "j": "b + 15", "n": "j + 10", "p": 10}, "premises": {"p": 10}, "target": "r"}, "answer": {"steps": [["y", "l + 16", "l + 26"], ["l", "a + 16", "a + 42"], ["a", "u + 14", "u + 56"], ["u", "q + 15", "q + 71"], ["q", "p + 12", "p + 83"], ["p", 10, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"p": 10}, "is_reverse": true}} | 20,103 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 10; d = p + 14; p = 10; y = l + 16; j = b + 15; n = j + 10; l = a + 16; b = f + 2; a = u + 14; f = k + 1; u = q + 15; q = p + 12; k = d + 5. If p = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 16 to r, which gives r = l + 26.\n2. Substitute l = a + 16 to r, which gives r = a + 42.\n3. Substitute a = u + 14 to r, which gives r = u + 56.\n4. Substitute u = q + 15 to r, which gives r = q + 71.\n5. Substitute q = p + 12 to r, which gives r = p + 83.\n6. Substitute p = 10 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 20103,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 10; d = p + 14; p = 10; y = l + 16; j = b + 15; n = j + 10; l = a + 16; b = f + 2; a = u + 14; f = k + 1; u = q + 15; q = p + 12; k = d + 5. If p = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 20", "o": "q + 16", "m": "o + 2", "r": "m + 14", "d": "r + 9", "h": "d + 20", "b": "j + 5", "y": "b + 18", "x": "y + 15", "g": "x + 8", "t": "g + 17", "w": "t + 18", "j": 3}, "premises": {"j": 3}, "target": "h"}, "answer": {"steps": [["d", "r + 9", "r + 29"], ["r", "m + 14", "m + 43"], ["m", "o + 2", "o + 45"], ["o", "q + 16", "q + 61"], ["q", "j + 20", "j + 81"], ["j", 3, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"j": 3}, "is_reverse": true}} | 20,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 17; r = m + 14; w = t + 18; j = 3; q = j + 20; d = r + 9; y = b + 18; m = o + 2; b = j + 5; x = y + 15; h = d + 20; o = q + 16; g = x + 8. If j = 3, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 9 to h, which gives h = r + 29.\n2. Substitute r = m + 14 to h, which gives h = m + 43.\n3. Substitute m = o + 2 to h, which gives h = o + 45.\n4. Substitute o = q + 16 to h, which gives h = q + 61.\n5. Substitute q = j + 20 to h, which gives h = j + 81.\n6. Substitute j = 3 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 20104,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 17; r = m + 14; w = t + 18; j = 3; q = j + 20; d = r + 9; y = b + 18; m = o + 2; b = j + 5; x = y + 15; h = d + 20; o = q + 16; g = x + 8. If j = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 16", "d": "j + 8", "s": "d + 18", "h": "s + 1", "o": "h + 7", "t": "o + 6", "k": "q + 13", "y": "k + 5", "m": "y + 13", "f": "m + 14", "z": "f + 2", "x": "z + 14", "q": 11}, "premises": {"q": 11}, "target": "t"}, "answer": {"steps": [["o", "h + 7", "h + 13"], ["h", "s + 1", "s + 14"], ["s", "d + 18", "d + 32"], ["d", "j + 8", "j + 40"], ["j", "q + 16", "q + 56"], ["q", 11, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"q": 11}, "is_reverse": true}} | 20,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 18; k = q + 13; j = q + 16; h = s + 1; x = z + 14; d = j + 8; q = 11; z = f + 2; f = m + 14; m = y + 13; t = o + 6; o = h + 7; y = k + 5. Given that q = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 7 to t, which gives t = h + 13.\n2. Substitute h = s + 1 to t, which gives t = s + 14.\n3. Substitute s = d + 18 to t, which gives t = d + 32.\n4. Substitute d = j + 8 to t, which gives t = j + 40.\n5. Substitute j = q + 16 to t, which gives t = q + 56.\n6. Substitute q = 11 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 20105,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 18; k = q + 13; j = q + 16; h = s + 1; x = z + 14; d = j + 8; q = 11; z = f + 2; f = m + 14; m = y + 13; t = o + 6; o = h + 7; y = k + 5. Given that q = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 16", "y": "w + 1", "h": "y + 5", "g": "h + 18", "k": "g + 4", "d": "k + 10", "t": "r + 3", "b": "t + 7", "x": "b + 10", "f": "x + 6", "n": "f + 9", "e": "n + 14", "r": 12}, "premises": {"r": 12}, "target": "d"}, "answer": {"steps": [["k", "g + 4", "g + 14"], ["g", "h + 18", "h + 32"], ["h", "y + 5", "y + 37"], ["y", "w + 1", "w + 38"], ["w", "r + 16", "r + 54"], ["r", 12, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"r": 12}, "is_reverse": true}} | 20,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 14; n = f + 9; h = y + 5; d = k + 10; g = h + 18; k = g + 4; r = 12; w = r + 16; b = t + 7; x = b + 10; t = r + 3; f = x + 6; y = w + 1. Given that r = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 4 to d, which gives d = g + 14.\n2. Substitute g = h + 18 to d, which gives d = h + 32.\n3. Substitute h = y + 5 to d, which gives d = y + 37.\n4. Substitute y = w + 1 to d, which gives d = w + 38.\n5. Substitute w = r + 16 to d, which gives d = r + 54.\n6. Substitute r = 12 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 20106,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 14; n = f + 9; h = y + 5; d = k + 10; g = h + 18; k = g + 4; r = 12; w = r + 16; b = t + 7; x = b + 10; t = r + 3; f = x + 6; y = w + 1. Given that r = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 2", "w": "v + 18", "r": "w + 20", "q": "r + 2", "h": "q + 14", "o": "h + 3", "x": "c + 19", "y": "x + 15", "d": "y + 15", "s": "d + 15", "g": "s + 8", "t": "g + 5", "c": 4}, "premises": {"c": 4}, "target": "o"}, "answer": {"steps": [["h", "q + 14", "q + 17"], ["q", "r + 2", "r + 19"], ["r", "w + 20", "w + 39"], ["w", "v + 18", "v + 57"], ["v", "c + 2", "c + 59"], ["c", 4, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"c": 4}, "is_reverse": true}} | 20,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 2; r = w + 20; c = 4; o = h + 3; h = q + 14; w = v + 18; d = y + 15; t = g + 5; s = d + 15; v = c + 2; x = c + 19; g = s + 8; y = x + 15. Given that c = 4, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 14 to o, which gives o = q + 17.\n2. Substitute q = r + 2 to o, which gives o = r + 19.\n3. Substitute r = w + 20 to o, which gives o = w + 39.\n4. Substitute w = v + 18 to o, which gives o = v + 57.\n5. Substitute v = c + 2 to o, which gives o = c + 59.\n6. Substitute c = 4 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 20107,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 2; r = w + 20; c = 4; o = h + 3; h = q + 14; w = v + 18; d = y + 15; t = g + 5; s = d + 15; v = c + 2; x = c + 19; g = s + 8; y = x + 15. Given that c = 4, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 4", "a": "d + 17", "c": "a + 10", "i": "c + 20", "q": "i + 3", "u": "q + 3", "p": "s + 11", "k": "p + 19", "o": "k + 1", "x": "o + 17", "l": "x + 3", "t": "l + 15", "s": 19}, "premises": {"s": 19}, "target": "u"}, "answer": {"steps": [["q", "i + 3", "i + 6"], ["i", "c + 20", "c + 26"], ["c", "a + 10", "a + 36"], ["a", "d + 17", "d + 53"], ["d", "s + 4", "s + 57"], ["s", 19, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"s": 19}, "is_reverse": true}} | 20,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 3; s = 19; p = s + 11; o = k + 1; l = x + 3; t = l + 15; a = d + 17; k = p + 19; d = s + 4; q = i + 3; x = o + 17; i = c + 20; c = a + 10. If s = 19, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 3 to u, which gives u = i + 6.\n2. Substitute i = c + 20 to u, which gives u = c + 26.\n3. Substitute c = a + 10 to u, which gives u = a + 36.\n4. Substitute a = d + 17 to u, which gives u = d + 53.\n5. Substitute d = s + 4 to u, which gives u = s + 57.\n6. Substitute s = 19 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 20108,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 3; s = 19; p = s + 11; o = k + 1; l = x + 3; t = l + 15; a = d + 17; k = p + 19; d = s + 4; q = i + 3; x = o + 17; i = c + 20; c = a + 10. If s = 19, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 12", "h": "e + 8", "n": "h + 6", "g": "n + 7", "d": "g + 5", "m": "d + 18", "a": "r + 10", "z": "a + 15", "u": "z + 11", "k": "u + 6", "c": "k + 15", "i": "c + 12", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["d", "g + 5", "g + 23"], ["g", "n + 7", "n + 30"], ["n", "h + 6", "h + 36"], ["h", "e + 8", "e + 44"], ["e", "r + 12", "r + 56"], ["r", 6, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"r": 6}, "is_reverse": true}} | 20,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 10; k = u + 6; z = a + 15; i = c + 12; d = g + 5; g = n + 7; c = k + 15; r = 6; e = r + 12; u = z + 11; m = d + 18; n = h + 6; h = e + 8. Given that r = 6, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 5 to m, which gives m = g + 23.\n2. Substitute g = n + 7 to m, which gives m = n + 30.\n3. Substitute n = h + 6 to m, which gives m = h + 36.\n4. Substitute h = e + 8 to m, which gives m = e + 44.\n5. Substitute e = r + 12 to m, which gives m = r + 56.\n6. Substitute r = 6 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 20109,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 10; k = u + 6; z = a + 15; i = c + 12; d = g + 5; g = n + 7; c = k + 15; r = 6; e = r + 12; u = z + 11; m = d + 18; n = h + 6; h = e + 8. Given that r = 6, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 14", "t": "r + 14", "z": "t + 15", "i": "z + 1", "p": "i + 5", "q": "p + 19", "e": "u + 9", "v": "e + 10", "n": "v + 18", "d": "n + 20", "s": "d + 14", "m": "s + 2", "u": 19}, "premises": {"u": 19}, "target": "q"}, "answer": {"steps": [["p", "i + 5", "i + 24"], ["i", "z + 1", "z + 25"], ["z", "t + 15", "t + 40"], ["t", "r + 14", "r + 54"], ["r", "u + 14", "u + 68"], ["u", 19, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"u": 19}, "is_reverse": true}} | 20,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 2; n = v + 18; z = t + 15; q = p + 19; d = n + 20; e = u + 9; p = i + 5; u = 19; v = e + 10; r = u + 14; s = d + 14; t = r + 14; i = z + 1. If u = 19, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 5 to q, which gives q = i + 24.\n2. Substitute i = z + 1 to q, which gives q = z + 25.\n3. Substitute z = t + 15 to q, which gives q = t + 40.\n4. Substitute t = r + 14 to q, which gives q = r + 54.\n5. Substitute r = u + 14 to q, which gives q = u + 68.\n6. Substitute u = 19 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 20110,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 2; n = v + 18; z = t + 15; q = p + 19; d = n + 20; e = u + 9; p = i + 5; u = 19; v = e + 10; r = u + 14; s = d + 14; t = r + 14; i = z + 1. If u = 19, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 8", "y": "v + 20", "h": "y + 12", "w": "h + 6", "k": "w + 10", "r": "k + 3", "q": "i + 13", "t": "q + 15", "o": "t + 16", "z": "o + 6", "c": "z + 12", "s": "c + 9", "i": 3}, "premises": {"i": 3}, "target": "r"}, "answer": {"steps": [["k", "w + 10", "w + 13"], ["w", "h + 6", "h + 19"], ["h", "y + 12", "y + 31"], ["y", "v + 20", "v + 51"], ["v", "i + 8", "i + 59"], ["i", 3, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"i": 3}, "is_reverse": true}} | 20,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 12; k = w + 10; o = t + 16; i = 3; t = q + 15; w = h + 6; z = o + 6; v = i + 8; q = i + 13; r = k + 3; h = y + 12; y = v + 20; s = c + 9. If i = 3, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 10 to r, which gives r = w + 13.\n2. Substitute w = h + 6 to r, which gives r = h + 19.\n3. Substitute h = y + 12 to r, which gives r = y + 31.\n4. Substitute y = v + 20 to r, which gives r = v + 51.\n5. Substitute v = i + 8 to r, which gives r = i + 59.\n6. Substitute i = 3 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 20111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 12; k = w + 10; o = t + 16; i = 3; t = q + 15; w = h + 6; z = o + 6; v = i + 8; q = i + 13; r = k + 3; h = y + 12; y = v + 20; s = c + 9. If i = 3, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 3", "v": "k + 5", "n": "v + 6", "d": "n + 14", "r": "d + 18", "g": "r + 15", "l": "w + 4", "h": "l + 5", "c": "h + 5", "p": "c + 8", "m": "p + 16", "o": "m + 3", "w": 15}, "premises": {"w": 15}, "target": "g"}, "answer": {"steps": [["r", "d + 18", "d + 33"], ["d", "n + 14", "n + 47"], ["n", "v + 6", "v + 53"], ["v", "k + 5", "k + 58"], ["k", "w + 3", "w + 61"], ["w", 15, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"w": 15}, "is_reverse": true}} | 20,112 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 5; c = h + 5; o = m + 3; h = l + 5; m = p + 16; w = 15; d = n + 14; n = v + 6; k = w + 3; r = d + 18; l = w + 4; g = r + 15; p = c + 8. Given that w = 15, 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 r = d + 18 to g, which gives g = d + 33.\n2. Substitute d = n + 14 to g, which gives g = n + 47.\n3. Substitute n = v + 6 to g, which gives g = v + 53.\n4. Substitute v = k + 5 to g, which gives g = k + 58.\n5. Substitute k = w + 3 to g, which gives g = w + 61.\n6. Substitute w = 15 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 20112,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 5; c = h + 5; o = m + 3; h = l + 5; m = p + 16; w = 15; d = n + 14; n = v + 6; k = w + 3; r = d + 18; l = w + 4; g = r + 15; p = c + 8. Given that w = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 5", "z": "o + 15", "p": "z + 20", "u": "p + 9", "y": "u + 14", "k": "y + 9", "d": "b + 10", "i": "d + 14", "a": "i + 4", "j": "a + 14", "m": "j + 11", "e": "m + 8", "b": 2}, "premises": {"b": 2}, "target": "k"}, "answer": {"steps": [["y", "u + 14", "u + 23"], ["u", "p + 9", "p + 32"], ["p", "z + 20", "z + 52"], ["z", "o + 15", "o + 67"], ["o", "b + 5", "b + 72"], ["b", 2, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"b": 2}, "is_reverse": true}} | 20,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 5; i = d + 14; z = o + 15; a = i + 4; k = y + 9; b = 2; m = j + 11; e = m + 8; p = z + 20; y = u + 14; u = p + 9; j = a + 14; d = b + 10. If b = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 14 to k, which gives k = u + 23.\n2. Substitute u = p + 9 to k, which gives k = p + 32.\n3. Substitute p = z + 20 to k, which gives k = z + 52.\n4. Substitute z = o + 15 to k, which gives k = o + 67.\n5. Substitute o = b + 5 to k, which gives k = b + 72.\n6. Substitute b = 2 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 20113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 5; i = d + 14; z = o + 15; a = i + 4; k = y + 9; b = 2; m = j + 11; e = m + 8; p = z + 20; y = u + 14; u = p + 9; j = a + 14; d = b + 10. If b = 2, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 4", "q": "m + 12", "j": "q + 10", "i": "j + 10", "u": "i + 1", "c": "u + 8", "w": "z + 3", "o": "w + 20", "b": "o + 18", "g": "b + 5", "p": "g + 12", "h": "p + 10", "z": 10}, "premises": {"z": 10}, "target": "c"}, "answer": {"steps": [["u", "i + 1", "i + 9"], ["i", "j + 10", "j + 19"], ["j", "q + 10", "q + 29"], ["q", "m + 12", "m + 41"], ["m", "z + 4", "z + 45"], ["z", 10, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"z": 10}, "is_reverse": true}} | 20,114 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 12; b = o + 18; p = g + 12; j = q + 10; m = z + 4; o = w + 20; g = b + 5; h = p + 10; i = j + 10; w = z + 3; c = u + 8; u = i + 1; z = 10. Given that z = 10, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 1 to c, which gives c = i + 9.\n2. Substitute i = j + 10 to c, which gives c = j + 19.\n3. Substitute j = q + 10 to c, which gives c = q + 29.\n4. Substitute q = m + 12 to c, which gives c = m + 41.\n5. Substitute m = z + 4 to c, which gives c = z + 45.\n6. Substitute z = 10 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 20114,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 12; b = o + 18; p = g + 12; j = q + 10; m = z + 4; o = w + 20; g = b + 5; h = p + 10; i = j + 10; w = z + 3; c = u + 8; u = i + 1; z = 10. Given that z = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 17", "t": "w + 6", "j": "t + 9", "u": "j + 11", "e": "u + 11", "q": "e + 9", "o": "n + 11", "v": "o + 14", "b": "v + 2", "f": "b + 13", "i": "f + 11", "z": "i + 9", "n": 7}, "premises": {"n": 7}, "target": "q"}, "answer": {"steps": [["e", "u + 11", "u + 20"], ["u", "j + 11", "j + 31"], ["j", "t + 9", "t + 40"], ["t", "w + 6", "w + 46"], ["w", "n + 17", "n + 63"], ["n", 7, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"n": 7}, "is_reverse": true}} | 20,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 7; i = f + 11; e = u + 11; t = w + 6; b = v + 2; o = n + 11; j = t + 9; u = j + 11; z = i + 9; f = b + 13; w = n + 17; v = o + 14; q = e + 9. If n = 7, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 11 to q, which gives q = u + 20.\n2. Substitute u = j + 11 to q, which gives q = j + 31.\n3. Substitute j = t + 9 to q, which gives q = t + 40.\n4. Substitute t = w + 6 to q, which gives q = w + 46.\n5. Substitute w = n + 17 to q, which gives q = n + 63.\n6. Substitute n = 7 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 20115,
"question": "Consider a system of variables where each variable is defined as follows: n = 7; i = f + 11; e = u + 11; t = w + 6; b = v + 2; o = n + 11; j = t + 9; u = j + 11; z = i + 9; f = b + 13; w = n + 17; v = o + 14; q = e + 9. If n = 7, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 6", "r": "o + 3", "y": "r + 5", "n": "y + 19", "d": "n + 14", "c": "d + 16", "l": "i + 15", "x": "l + 4", "u": "x + 7", "v": "u + 15", "w": "v + 20", "s": "w + 3", "i": 20}, "premises": {"i": 20}, "target": "c"}, "answer": {"steps": [["d", "n + 14", "n + 30"], ["n", "y + 19", "y + 49"], ["y", "r + 5", "r + 54"], ["r", "o + 3", "o + 57"], ["o", "i + 6", "i + 63"], ["i", 20, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"i": 20}, "is_reverse": true}} | 20,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 3; x = l + 4; d = n + 14; c = d + 16; s = w + 3; u = x + 7; v = u + 15; n = y + 19; o = i + 6; w = v + 20; i = 20; l = i + 15; y = r + 5. If i = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 14 to c, which gives c = n + 30.\n2. Substitute n = y + 19 to c, which gives c = y + 49.\n3. Substitute y = r + 5 to c, which gives c = r + 54.\n4. Substitute r = o + 3 to c, which gives c = o + 57.\n5. Substitute o = i + 6 to c, which gives c = i + 63.\n6. Substitute i = 20 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 20116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 3; x = l + 4; d = n + 14; c = d + 16; s = w + 3; u = x + 7; v = u + 15; n = y + 19; o = i + 6; w = v + 20; i = 20; l = i + 15; y = r + 5. If i = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 2", "q": "k + 1", "m": "q + 13", "p": "m + 5", "d": "p + 17", "u": "d + 12", "o": "j + 17", "e": "o + 20", "g": "e + 6", "i": "g + 14", "n": "i + 10", "l": "n + 16", "j": 7}, "premises": {"j": 7}, "target": "u"}, "answer": {"steps": [["d", "p + 17", "p + 29"], ["p", "m + 5", "m + 34"], ["m", "q + 13", "q + 47"], ["q", "k + 1", "k + 48"], ["k", "j + 2", "j + 50"], ["j", 7, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"j": 7}, "is_reverse": true}} | 20,117 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 1; d = p + 17; u = d + 12; j = 7; i = g + 14; m = q + 13; e = o + 20; l = n + 16; g = e + 6; n = i + 10; k = j + 2; p = m + 5; o = j + 17. Given that j = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 17 to u, which gives u = p + 29.\n2. Substitute p = m + 5 to u, which gives u = m + 34.\n3. Substitute m = q + 13 to u, which gives u = q + 47.\n4. Substitute q = k + 1 to u, which gives u = k + 48.\n5. Substitute k = j + 2 to u, which gives u = j + 50.\n6. Substitute j = 7 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 20117,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 1; d = p + 17; u = d + 12; j = 7; i = g + 14; m = q + 13; e = o + 20; l = n + 16; g = e + 6; n = i + 10; k = j + 2; p = m + 5; o = j + 17. Given that j = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 11", "k": "n + 16", "f": "k + 6", "c": "f + 1", "t": "c + 18", "s": "t + 3", "w": "r + 6", "q": "w + 13", "a": "q + 12", "z": "a + 11", "d": "z + 7", "b": "d + 19", "r": 13}, "premises": {"r": 13}, "target": "s"}, "answer": {"steps": [["t", "c + 18", "c + 21"], ["c", "f + 1", "f + 22"], ["f", "k + 6", "k + 28"], ["k", "n + 16", "n + 44"], ["n", "r + 11", "r + 55"], ["r", 13, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"r": 13}, "is_reverse": true}} | 20,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 3; r = 13; w = r + 6; z = a + 11; f = k + 6; d = z + 7; t = c + 18; n = r + 11; c = f + 1; k = n + 16; a = q + 12; b = d + 19; q = w + 13. If r = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 18 to s, which gives s = c + 21.\n2. Substitute c = f + 1 to s, which gives s = f + 22.\n3. Substitute f = k + 6 to s, which gives s = k + 28.\n4. Substitute k = n + 16 to s, which gives s = n + 44.\n5. Substitute n = r + 11 to s, which gives s = r + 55.\n6. Substitute r = 13 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 20118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 3; r = 13; w = r + 6; z = a + 11; f = k + 6; d = z + 7; t = c + 18; n = r + 11; c = f + 1; k = n + 16; a = q + 12; b = d + 19; q = w + 13. If r = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 19", "b": "t + 5", "k": "b + 14", "s": "k + 4", "j": "s + 13", "l": "j + 6", "n": "a + 15", "m": "n + 4", "i": "m + 3", "p": "i + 10", "w": "p + 17", "z": "w + 1", "a": 6}, "premises": {"a": 6}, "target": "l"}, "answer": {"steps": [["j", "s + 13", "s + 19"], ["s", "k + 4", "k + 23"], ["k", "b + 14", "b + 37"], ["b", "t + 5", "t + 42"], ["t", "a + 19", "a + 61"], ["a", 6, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"a": 6}, "is_reverse": true}} | 20,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 14; z = w + 1; n = a + 15; m = n + 4; j = s + 13; t = a + 19; s = k + 4; w = p + 17; b = t + 5; a = 6; i = m + 3; l = j + 6; p = i + 10. If a = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 13 to l, which gives l = s + 19.\n2. Substitute s = k + 4 to l, which gives l = k + 23.\n3. Substitute k = b + 14 to l, which gives l = b + 37.\n4. Substitute b = t + 5 to l, which gives l = t + 42.\n5. Substitute t = a + 19 to l, which gives l = a + 61.\n6. Substitute a = 6 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 20119,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 14; z = w + 1; n = a + 15; m = n + 4; j = s + 13; t = a + 19; s = k + 4; w = p + 17; b = t + 5; a = 6; i = m + 3; l = j + 6; p = i + 10. If a = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 16", "i": "f + 4", "j": "i + 5", "r": "j + 6", "p": "r + 11", "a": "p + 12", "v": "d + 7", "s": "v + 17", "z": "s + 13", "e": "z + 17", "q": "e + 14", "n": "q + 8", "d": 10}, "premises": {"d": 10}, "target": "a"}, "answer": {"steps": [["p", "r + 11", "r + 23"], ["r", "j + 6", "j + 29"], ["j", "i + 5", "i + 34"], ["i", "f + 4", "f + 38"], ["f", "d + 16", "d + 54"], ["d", 10, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"d": 10}, "is_reverse": true}} | 20,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 12; z = s + 13; s = v + 17; f = d + 16; e = z + 17; n = q + 8; v = d + 7; i = f + 4; r = j + 6; q = e + 14; d = 10; p = r + 11; j = i + 5. Given that d = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 11 to a, which gives a = r + 23.\n2. Substitute r = j + 6 to a, which gives a = j + 29.\n3. Substitute j = i + 5 to a, which gives a = i + 34.\n4. Substitute i = f + 4 to a, which gives a = f + 38.\n5. Substitute f = d + 16 to a, which gives a = d + 54.\n6. Substitute d = 10 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 20120,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 12; z = s + 13; s = v + 17; f = d + 16; e = z + 17; n = q + 8; v = d + 7; i = f + 4; r = j + 6; q = e + 14; d = 10; p = r + 11; j = i + 5. Given that d = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 19", "k": "v + 19", "w": "k + 11", "x": "w + 17", "i": "x + 9", "e": "i + 13", "m": "t + 10", "b": "m + 14", "f": "b + 11", "u": "f + 2", "p": "u + 19", "l": "p + 14", "t": 2}, "premises": {"t": 2}, "target": "e"}, "answer": {"steps": [["i", "x + 9", "x + 22"], ["x", "w + 17", "w + 39"], ["w", "k + 11", "k + 50"], ["k", "v + 19", "v + 69"], ["v", "t + 19", "t + 88"], ["t", 2, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"t": 2}, "is_reverse": true}} | 20,121 | 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 = m + 14; v = t + 19; t = 2; f = b + 11; k = v + 19; w = k + 11; m = t + 10; u = f + 2; e = i + 13; x = w + 17; i = x + 9; l = p + 14; p = u + 19. If t = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 9 to e, which gives e = x + 22.\n2. Substitute x = w + 17 to e, which gives e = w + 39.\n3. Substitute w = k + 11 to e, which gives e = k + 50.\n4. Substitute k = v + 19 to e, which gives e = v + 69.\n5. Substitute v = t + 19 to e, which gives e = t + 88.\n6. Substitute t = 2 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 20121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 14; v = t + 19; t = 2; f = b + 11; k = v + 19; w = k + 11; m = t + 10; u = f + 2; e = i + 13; x = w + 17; i = x + 9; l = p + 14; p = u + 19. If t = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 18", "v": "b + 17", "a": "v + 3", "s": "a + 2", "w": "s + 19", "m": "w + 13", "c": "z + 12", "n": "c + 14", "u": "n + 1", "l": "u + 10", "r": "l + 5", "p": "r + 5", "z": 1}, "premises": {"z": 1}, "target": "m"}, "answer": {"steps": [["w", "s + 19", "s + 32"], ["s", "a + 2", "a + 34"], ["a", "v + 3", "v + 37"], ["v", "b + 17", "b + 54"], ["b", "z + 18", "z + 72"], ["z", 1, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"z": 1}, "is_reverse": true}} | 20,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = n + 1; a = v + 3; v = b + 17; z = 1; m = w + 13; l = u + 10; b = z + 18; n = c + 14; w = s + 19; s = a + 2; p = r + 5; c = z + 12; r = l + 5. Given that z = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 19 to m, which gives m = s + 32.\n2. Substitute s = a + 2 to m, which gives m = a + 34.\n3. Substitute a = v + 3 to m, which gives m = v + 37.\n4. Substitute v = b + 17 to m, which gives m = b + 54.\n5. Substitute b = z + 18 to m, which gives m = z + 72.\n6. Substitute z = 1 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 20122,
"question": "Suppose a collection of variables is related by the following definitions: u = n + 1; a = v + 3; v = b + 17; z = 1; m = w + 13; l = u + 10; b = z + 18; n = c + 14; w = s + 19; s = a + 2; p = r + 5; c = z + 12; r = l + 5. Given that z = 1, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 15", "k": "l + 11", "f": "k + 10", "a": "f + 6", "j": "a + 1", "x": "j + 4", "i": "u + 2", "s": "i + 10", "w": "s + 14", "z": "w + 10", "t": "z + 20", "b": "t + 12", "u": 6}, "premises": {"u": 6}, "target": "x"}, "answer": {"steps": [["j", "a + 1", "a + 5"], ["a", "f + 6", "f + 11"], ["f", "k + 10", "k + 21"], ["k", "l + 11", "l + 32"], ["l", "u + 15", "u + 47"], ["u", 6, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"u": 6}, "is_reverse": true}} | 20,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = t + 12; l = u + 15; w = s + 14; f = k + 10; s = i + 10; i = u + 2; k = l + 11; u = 6; a = f + 6; x = j + 4; j = a + 1; z = w + 10; t = z + 20. If u = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 1 to x, which gives x = a + 5.\n2. Substitute a = f + 6 to x, which gives x = f + 11.\n3. Substitute f = k + 10 to x, which gives x = k + 21.\n4. Substitute k = l + 11 to x, which gives x = l + 32.\n5. Substitute l = u + 15 to x, which gives x = u + 47.\n6. Substitute u = 6 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 20123,
"question": "Consider a system of variables where each variable is defined as follows: b = t + 12; l = u + 15; w = s + 14; f = k + 10; s = i + 10; i = u + 2; k = l + 11; u = 6; a = f + 6; x = j + 4; j = a + 1; z = w + 10; t = z + 20. If u = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 8", "t": "z + 5", "q": "t + 3", "s": "q + 19", "e": "s + 3", "c": "e + 16", "l": "d + 9", "i": "l + 11", "j": "i + 2", "n": "j + 9", "f": "n + 9", "w": "f + 14", "d": 11}, "premises": {"d": 11}, "target": "c"}, "answer": {"steps": [["e", "s + 3", "s + 19"], ["s", "q + 19", "q + 38"], ["q", "t + 3", "t + 41"], ["t", "z + 5", "z + 46"], ["z", "d + 8", "d + 54"], ["d", 11, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"d": 11}, "is_reverse": true}} | 20,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 8; i = l + 11; d = 11; f = n + 9; n = j + 9; s = q + 19; c = e + 16; q = t + 3; t = z + 5; j = i + 2; e = s + 3; w = f + 14; l = d + 9. If d = 11, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 3 to c, which gives c = s + 19.\n2. Substitute s = q + 19 to c, which gives c = q + 38.\n3. Substitute q = t + 3 to c, which gives c = t + 41.\n4. Substitute t = z + 5 to c, which gives c = z + 46.\n5. Substitute z = d + 8 to c, which gives c = d + 54.\n6. Substitute d = 11 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 20124,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 8; i = l + 11; d = 11; f = n + 9; n = j + 9; s = q + 19; c = e + 16; q = t + 3; t = z + 5; j = i + 2; e = s + 3; w = f + 14; l = d + 9. If d = 11, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 13", "i": "s + 4", "t": "i + 12", "c": "t + 6", "f": "c + 16", "w": "f + 8", "h": "m + 4", "o": "h + 13", "e": "o + 8", "k": "e + 1", "b": "k + 17", "p": "b + 17", "m": 17}, "premises": {"m": 17}, "target": "w"}, "answer": {"steps": [["f", "c + 16", "c + 24"], ["c", "t + 6", "t + 30"], ["t", "i + 12", "i + 42"], ["i", "s + 4", "s + 46"], ["s", "m + 13", "m + 59"], ["m", 17, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"m": 17}, "is_reverse": true}} | 20,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = i + 12; m = 17; k = e + 1; o = h + 13; e = o + 8; s = m + 13; h = m + 4; b = k + 17; p = b + 17; w = f + 8; f = c + 16; i = s + 4; c = t + 6. Given that m = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 16 to w, which gives w = c + 24.\n2. Substitute c = t + 6 to w, which gives w = t + 30.\n3. Substitute t = i + 12 to w, which gives w = i + 42.\n4. Substitute i = s + 4 to w, which gives w = s + 46.\n5. Substitute s = m + 13 to w, which gives w = m + 59.\n6. Substitute m = 17 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 20125,
"question": "Suppose a collection of variables is related by the following definitions: t = i + 12; m = 17; k = e + 1; o = h + 13; e = o + 8; s = m + 13; h = m + 4; b = k + 17; p = b + 17; w = f + 8; f = c + 16; i = s + 4; c = t + 6. Given that m = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 16", "k": "e + 16", "y": "k + 13", "m": "y + 17", "d": "m + 2", "v": "d + 20", "t": "j + 5", "q": "t + 17", "w": "q + 15", "h": "w + 5", "a": "h + 16", "o": "a + 13", "j": 9}, "premises": {"j": 9}, "target": "v"}, "answer": {"steps": [["d", "m + 2", "m + 22"], ["m", "y + 17", "y + 39"], ["y", "k + 13", "k + 52"], ["k", "e + 16", "e + 68"], ["e", "j + 16", "j + 84"], ["j", 9, "93"]], "target_var_name": "v", "target_value": 93, "value_dict": {"j": 9}, "is_reverse": true}} | 20,126 | 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 = j + 16; y = k + 13; m = y + 17; k = e + 16; v = d + 20; a = h + 16; q = t + 17; d = m + 2; h = w + 5; o = a + 13; t = j + 5; w = q + 15; j = 9. If j = 9, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 2 to v, which gives v = m + 22.\n2. Substitute m = y + 17 to v, which gives v = y + 39.\n3. Substitute y = k + 13 to v, which gives v = k + 52.\n4. Substitute k = e + 16 to v, which gives v = e + 68.\n5. Substitute e = j + 16 to v, which gives v = j + 84.\n6. Substitute j = 9 to v, which gives v = 93.\n\nThus, the final answer is v = \\boxed{93}.",
"index": 20126,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 16; y = k + 13; m = y + 17; k = e + 16; v = d + 20; a = h + 16; q = t + 17; d = m + 2; h = w + 5; o = a + 13; t = j + 5; w = q + 15; j = 9. If j = 9, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 16", "s": "n + 19", "b": "s + 16", "m": "b + 12", "c": "m + 16", "r": "c + 11", "p": "u + 4", "h": "p + 8", "t": "h + 11", "o": "t + 7", "x": "o + 20", "l": "x + 10", "u": 3}, "premises": {"u": 3}, "target": "r"}, "answer": {"steps": [["c", "m + 16", "m + 27"], ["m", "b + 12", "b + 39"], ["b", "s + 16", "s + 55"], ["s", "n + 19", "n + 74"], ["n", "u + 16", "u + 90"], ["u", 3, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"u": 3}, "is_reverse": true}} | 20,127 | 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 = 3; n = u + 16; c = m + 16; b = s + 16; p = u + 4; x = o + 20; h = p + 8; o = t + 7; t = h + 11; r = c + 11; l = x + 10; s = n + 19; m = b + 12. If u = 3, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 16 to r, which gives r = m + 27.\n2. Substitute m = b + 12 to r, which gives r = b + 39.\n3. Substitute b = s + 16 to r, which gives r = s + 55.\n4. Substitute s = n + 19 to r, which gives r = n + 74.\n5. Substitute n = u + 16 to r, which gives r = u + 90.\n6. Substitute u = 3 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 20127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 3; n = u + 16; c = m + 16; b = s + 16; p = u + 4; x = o + 20; h = p + 8; o = t + 7; t = h + 11; r = c + 11; l = x + 10; s = n + 19; m = b + 12. If u = 3, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 7", "q": "t + 14", "i": "q + 9", "f": "i + 20", "h": "f + 2", "p": "h + 4", "k": "o + 10", "l": "k + 19", "x": "l + 9", "s": "x + 12", "z": "s + 11", "d": "z + 5", "o": 1}, "premises": {"o": 1}, "target": "p"}, "answer": {"steps": [["h", "f + 2", "f + 6"], ["f", "i + 20", "i + 26"], ["i", "q + 9", "q + 35"], ["q", "t + 14", "t + 49"], ["t", "o + 7", "o + 56"], ["o", 1, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"o": 1}, "is_reverse": true}} | 20,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 4; l = k + 19; t = o + 7; x = l + 9; q = t + 14; z = s + 11; h = f + 2; i = q + 9; d = z + 5; f = i + 20; o = 1; k = o + 10; s = x + 12. Given that o = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 2 to p, which gives p = f + 6.\n2. Substitute f = i + 20 to p, which gives p = i + 26.\n3. Substitute i = q + 9 to p, which gives p = q + 35.\n4. Substitute q = t + 14 to p, which gives p = t + 49.\n5. Substitute t = o + 7 to p, which gives p = o + 56.\n6. Substitute o = 1 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 20128,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 4; l = k + 19; t = o + 7; x = l + 9; q = t + 14; z = s + 11; h = f + 2; i = q + 9; d = z + 5; f = i + 20; o = 1; k = o + 10; s = x + 12. Given that o = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 10", "y": "b + 20", "f": "y + 9", "i": "f + 2", "l": "i + 8", "c": "l + 7", "k": "w + 16", "a": "k + 14", "r": "a + 4", "j": "r + 16", "t": "j + 16", "x": "t + 8", "w": 19}, "premises": {"w": 19}, "target": "c"}, "answer": {"steps": [["l", "i + 8", "i + 15"], ["i", "f + 2", "f + 17"], ["f", "y + 9", "y + 26"], ["y", "b + 20", "b + 46"], ["b", "w + 10", "w + 56"], ["w", 19, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"w": 19}, "is_reverse": true}} | 20,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 8; j = r + 16; t = j + 16; f = y + 9; b = w + 10; c = l + 7; y = b + 20; w = 19; l = i + 8; i = f + 2; a = k + 14; r = a + 4; k = w + 16. If w = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 8 to c, which gives c = i + 15.\n2. Substitute i = f + 2 to c, which gives c = f + 17.\n3. Substitute f = y + 9 to c, which gives c = y + 26.\n4. Substitute y = b + 20 to c, which gives c = b + 46.\n5. Substitute b = w + 10 to c, which gives c = w + 56.\n6. Substitute w = 19 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 20129,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 8; j = r + 16; t = j + 16; f = y + 9; b = w + 10; c = l + 7; y = b + 20; w = 19; l = i + 8; i = f + 2; a = k + 14; r = a + 4; k = w + 16. If w = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 4", "x": "c + 16", "r": "x + 3", "j": "r + 15", "d": "j + 13", "m": "d + 19", "u": "w + 15", "i": "u + 16", "l": "i + 15", "k": "l + 18", "g": "k + 14", "z": "g + 14", "w": 3}, "premises": {"w": 3}, "target": "m"}, "answer": {"steps": [["d", "j + 13", "j + 32"], ["j", "r + 15", "r + 47"], ["r", "x + 3", "x + 50"], ["x", "c + 16", "c + 66"], ["c", "w + 4", "w + 70"], ["w", 3, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"w": 3}, "is_reverse": true}} | 20,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 15; c = w + 4; k = l + 18; m = d + 19; l = i + 15; d = j + 13; x = c + 16; w = 3; u = w + 15; r = x + 3; i = u + 16; g = k + 14; z = g + 14. Given that w = 3, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 13 to m, which gives m = j + 32.\n2. Substitute j = r + 15 to m, which gives m = r + 47.\n3. Substitute r = x + 3 to m, which gives m = x + 50.\n4. Substitute x = c + 16 to m, which gives m = c + 66.\n5. Substitute c = w + 4 to m, which gives m = w + 70.\n6. Substitute w = 3 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 20130,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 15; c = w + 4; k = l + 18; m = d + 19; l = i + 15; d = j + 13; x = c + 16; w = 3; u = w + 15; r = x + 3; i = u + 16; g = k + 14; z = g + 14. Given that w = 3, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 7", "l": "q + 4", "g": "l + 13", "v": "g + 18", "u": "v + 12", "y": "u + 3", "d": "f + 20", "n": "d + 3", "o": "n + 19", "a": "o + 20", "z": "a + 17", "e": "z + 8", "f": 10}, "premises": {"f": 10}, "target": "y"}, "answer": {"steps": [["u", "v + 12", "v + 15"], ["v", "g + 18", "g + 33"], ["g", "l + 13", "l + 46"], ["l", "q + 4", "q + 50"], ["q", "f + 7", "f + 57"], ["f", 10, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"f": 10}, "is_reverse": true}} | 20,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 12; q = f + 7; f = 10; o = n + 19; e = z + 8; v = g + 18; z = a + 17; a = o + 20; l = q + 4; y = u + 3; d = f + 20; g = l + 13; n = d + 3. Given that f = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 12 to y, which gives y = v + 15.\n2. Substitute v = g + 18 to y, which gives y = g + 33.\n3. Substitute g = l + 13 to y, which gives y = l + 46.\n4. Substitute l = q + 4 to y, which gives y = q + 50.\n5. Substitute q = f + 7 to y, which gives y = f + 57.\n6. Substitute f = 10 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 20131,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 12; q = f + 7; f = 10; o = n + 19; e = z + 8; v = g + 18; z = a + 17; a = o + 20; l = q + 4; y = u + 3; d = f + 20; g = l + 13; n = d + 3. Given that f = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 15", "d": "o + 1", "i": "d + 7", "l": "i + 3", "m": "l + 20", "c": "m + 5", "j": "y + 8", "h": "j + 3", "s": "h + 6", "b": "s + 14", "u": "b + 8", "z": "u + 12", "y": 12}, "premises": {"y": 12}, "target": "c"}, "answer": {"steps": [["m", "l + 20", "l + 25"], ["l", "i + 3", "i + 28"], ["i", "d + 7", "d + 35"], ["d", "o + 1", "o + 36"], ["o", "y + 15", "y + 51"], ["y", 12, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"y": 12}, "is_reverse": true}} | 20,132 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 3; c = m + 5; s = h + 6; j = y + 8; u = b + 8; i = d + 7; z = u + 12; y = 12; h = j + 3; m = l + 20; b = s + 14; d = o + 1; o = y + 15. Given that y = 12, 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 m = l + 20 to c, which gives c = l + 25.\n2. Substitute l = i + 3 to c, which gives c = i + 28.\n3. Substitute i = d + 7 to c, which gives c = d + 35.\n4. Substitute d = o + 1 to c, which gives c = o + 36.\n5. Substitute o = y + 15 to c, which gives c = y + 51.\n6. Substitute y = 12 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 20132,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 3; c = m + 5; s = h + 6; j = y + 8; u = b + 8; i = d + 7; z = u + 12; y = 12; h = j + 3; m = l + 20; b = s + 14; d = o + 1; o = y + 15. Given that y = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 10", "u": "t + 19", "e": "u + 10", "q": "e + 5", "a": "q + 10", "l": "a + 9", "c": "y + 13", "f": "c + 12", "h": "f + 18", "g": "h + 10", "z": "g + 16", "m": "z + 3", "y": 20}, "premises": {"y": 20}, "target": "l"}, "answer": {"steps": [["a", "q + 10", "q + 19"], ["q", "e + 5", "e + 24"], ["e", "u + 10", "u + 34"], ["u", "t + 19", "t + 53"], ["t", "y + 10", "y + 63"], ["y", 20, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"y": 20}, "is_reverse": true}} | 20,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 13; m = z + 3; f = c + 12; z = g + 16; l = a + 9; u = t + 19; h = f + 18; y = 20; a = q + 10; q = e + 5; g = h + 10; t = y + 10; e = u + 10. If y = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 10 to l, which gives l = q + 19.\n2. Substitute q = e + 5 to l, which gives l = e + 24.\n3. Substitute e = u + 10 to l, which gives l = u + 34.\n4. Substitute u = t + 19 to l, which gives l = t + 53.\n5. Substitute t = y + 10 to l, which gives l = y + 63.\n6. Substitute y = 20 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 20133,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 13; m = z + 3; f = c + 12; z = g + 16; l = a + 9; u = t + 19; h = f + 18; y = 20; a = q + 10; q = e + 5; g = h + 10; t = y + 10; e = u + 10. If y = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 7", "x": "g + 15", "l": "x + 10", "b": "l + 9", "t": "b + 6", "j": "t + 15", "p": "v + 11", "y": "p + 11", "f": "y + 10", "h": "f + 18", "q": "h + 5", "e": "q + 19", "v": 20}, "premises": {"v": 20}, "target": "j"}, "answer": {"steps": [["t", "b + 6", "b + 21"], ["b", "l + 9", "l + 30"], ["l", "x + 10", "x + 40"], ["x", "g + 15", "g + 55"], ["g", "v + 7", "v + 62"], ["v", 20, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"v": 20}, "is_reverse": true}} | 20,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 11; y = p + 11; l = x + 10; h = f + 18; f = y + 10; t = b + 6; j = t + 15; b = l + 9; v = 20; x = g + 15; q = h + 5; e = q + 19; g = v + 7. If v = 20, 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 t = b + 6 to j, which gives j = b + 21.\n2. Substitute b = l + 9 to j, which gives j = l + 30.\n3. Substitute l = x + 10 to j, which gives j = x + 40.\n4. Substitute x = g + 15 to j, which gives j = g + 55.\n5. Substitute g = v + 7 to j, which gives j = v + 62.\n6. Substitute v = 20 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 20134,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 11; y = p + 11; l = x + 10; h = f + 18; f = y + 10; t = b + 6; j = t + 15; b = l + 9; v = 20; x = g + 15; q = h + 5; e = q + 19; g = v + 7. If v = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 19", "e": "c + 7", "h": "e + 6", "f": "h + 9", "m": "f + 3", "w": "m + 6", "g": "n + 3", "b": "g + 18", "s": "b + 6", "j": "s + 13", "z": "j + 14", "i": "z + 8", "n": 12}, "premises": {"n": 12}, "target": "w"}, "answer": {"steps": [["m", "f + 3", "f + 9"], ["f", "h + 9", "h + 18"], ["h", "e + 6", "e + 24"], ["e", "c + 7", "c + 31"], ["c", "n + 19", "n + 50"], ["n", 12, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"n": 12}, "is_reverse": true}} | 20,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 7; c = n + 19; i = z + 8; s = b + 6; n = 12; g = n + 3; m = f + 3; f = h + 9; z = j + 14; j = s + 13; w = m + 6; b = g + 18; h = e + 6. If n = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 3 to w, which gives w = f + 9.\n2. Substitute f = h + 9 to w, which gives w = h + 18.\n3. Substitute h = e + 6 to w, which gives w = e + 24.\n4. Substitute e = c + 7 to w, which gives w = c + 31.\n5. Substitute c = n + 19 to w, which gives w = n + 50.\n6. Substitute n = 12 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 20135,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 7; c = n + 19; i = z + 8; s = b + 6; n = 12; g = n + 3; m = f + 3; f = h + 9; z = j + 14; j = s + 13; w = m + 6; b = g + 18; h = e + 6. If n = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 2", "y": "g + 8", "x": "y + 1", "r": "x + 5", "k": "r + 20", "n": "k + 6", "m": "u + 2", "a": "m + 2", "p": "a + 12", "j": "p + 1", "f": "j + 9", "h": "f + 11", "u": 20}, "premises": {"u": 20}, "target": "n"}, "answer": {"steps": [["k", "r + 20", "r + 26"], ["r", "x + 5", "x + 31"], ["x", "y + 1", "y + 32"], ["y", "g + 8", "g + 40"], ["g", "u + 2", "u + 42"], ["u", 20, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"u": 20}, "is_reverse": true}} | 20,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 5; f = j + 9; m = u + 2; h = f + 11; u = 20; p = a + 12; n = k + 6; g = u + 2; k = r + 20; j = p + 1; x = y + 1; y = g + 8; a = m + 2. Given that u = 20, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 20 to n, which gives n = r + 26.\n2. Substitute r = x + 5 to n, which gives n = x + 31.\n3. Substitute x = y + 1 to n, which gives n = y + 32.\n4. Substitute y = g + 8 to n, which gives n = g + 40.\n5. Substitute g = u + 2 to n, which gives n = u + 42.\n6. Substitute u = 20 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 20136,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 5; f = j + 9; m = u + 2; h = f + 11; u = 20; p = a + 12; n = k + 6; g = u + 2; k = r + 20; j = p + 1; x = y + 1; y = g + 8; a = m + 2. Given that u = 20, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 5", "x": "m + 16", "c": "x + 13", "h": "c + 16", "y": "h + 17", "j": "y + 10", "z": "k + 4", "o": "z + 12", "b": "o + 3", "s": "b + 3", "l": "s + 3", "g": "l + 3", "k": 13}, "premises": {"k": 13}, "target": "j"}, "answer": {"steps": [["y", "h + 17", "h + 27"], ["h", "c + 16", "c + 43"], ["c", "x + 13", "x + 56"], ["x", "m + 16", "m + 72"], ["m", "k + 5", "k + 77"], ["k", 13, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"k": 13}, "is_reverse": true}} | 20,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 3; o = z + 12; z = k + 4; g = l + 3; m = k + 5; l = s + 3; h = c + 16; s = b + 3; j = y + 10; c = x + 13; x = m + 16; y = h + 17; k = 13. If k = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 17 to j, which gives j = h + 27.\n2. Substitute h = c + 16 to j, which gives j = c + 43.\n3. Substitute c = x + 13 to j, which gives j = x + 56.\n4. Substitute x = m + 16 to j, which gives j = m + 72.\n5. Substitute m = k + 5 to j, which gives j = k + 77.\n6. Substitute k = 13 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 20137,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 3; o = z + 12; z = k + 4; g = l + 3; m = k + 5; l = s + 3; h = c + 16; s = b + 3; j = y + 10; c = x + 13; x = m + 16; y = h + 17; k = 13. If k = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 4", "m": "d + 16", "b": "m + 3", "y": "b + 1", "f": "y + 6", "g": "f + 9", "x": "i + 15", "t": "x + 18", "e": "t + 14", "h": "e + 7", "j": "h + 12", "c": "j + 19", "i": 16}, "premises": {"i": 16}, "target": "g"}, "answer": {"steps": [["f", "y + 6", "y + 15"], ["y", "b + 1", "b + 16"], ["b", "m + 3", "m + 19"], ["m", "d + 16", "d + 35"], ["d", "i + 4", "i + 39"], ["i", 16, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"i": 16}, "is_reverse": true}} | 20,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 1; t = x + 18; d = i + 4; m = d + 16; e = t + 14; c = j + 19; j = h + 12; f = y + 6; g = f + 9; x = i + 15; h = e + 7; i = 16; b = m + 3. Given that i = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 6 to g, which gives g = y + 15.\n2. Substitute y = b + 1 to g, which gives g = b + 16.\n3. Substitute b = m + 3 to g, which gives g = m + 19.\n4. Substitute m = d + 16 to g, which gives g = d + 35.\n5. Substitute d = i + 4 to g, which gives g = i + 39.\n6. Substitute i = 16 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 20138,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 1; t = x + 18; d = i + 4; m = d + 16; e = t + 14; c = j + 19; j = h + 12; f = y + 6; g = f + 9; x = i + 15; h = e + 7; i = 16; b = m + 3. Given that i = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 18", "i": "p + 10", "n": "i + 3", "c": "n + 17", "v": "c + 14", "w": "v + 19", "o": "s + 1", "x": "o + 1", "y": "x + 9", "k": "y + 12", "q": "k + 2", "a": "q + 4", "s": 19}, "premises": {"s": 19}, "target": "w"}, "answer": {"steps": [["v", "c + 14", "c + 33"], ["c", "n + 17", "n + 50"], ["n", "i + 3", "i + 53"], ["i", "p + 10", "p + 63"], ["p", "s + 18", "s + 81"], ["s", 19, "100"]], "target_var_name": "w", "target_value": 100, "value_dict": {"s": 19}, "is_reverse": true}} | 20,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 2; v = c + 14; i = p + 10; a = q + 4; o = s + 1; x = o + 1; k = y + 12; n = i + 3; w = v + 19; p = s + 18; s = 19; y = x + 9; c = n + 17. If s = 19, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 14 to w, which gives w = c + 33.\n2. Substitute c = n + 17 to w, which gives w = n + 50.\n3. Substitute n = i + 3 to w, which gives w = i + 53.\n4. Substitute i = p + 10 to w, which gives w = p + 63.\n5. Substitute p = s + 18 to w, which gives w = s + 81.\n6. Substitute s = 19 to w, which gives w = 100.\n\nThus, the final answer is w = \\boxed{100}.",
"index": 20139,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 2; v = c + 14; i = p + 10; a = q + 4; o = s + 1; x = o + 1; k = y + 12; n = i + 3; w = v + 19; p = s + 18; s = 19; y = x + 9; c = n + 17. If s = 19, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"m": "d + 15", "b": "m + 20", "u": "b + 3", "r": "u + 7", "l": "r + 10", "y": "l + 20", "t": "d + 11", "w": "t + 8", "e": "w + 19", "p": "e + 18", "o": "p + 3", "a": "o + 1", "d": 13}, "premises": {"d": 13}, "target": "y"}, "answer": {"steps": [["l", "r + 10", "r + 30"], ["r", "u + 7", "u + 37"], ["u", "b + 3", "b + 40"], ["b", "m + 20", "m + 60"], ["m", "d + 15", "d + 75"], ["d", 13, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"d": 13}, "is_reverse": true}} | 20,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = u + 7; m = d + 15; a = o + 1; o = p + 3; p = e + 18; u = b + 3; w = t + 8; t = d + 11; l = r + 10; b = m + 20; d = 13; e = w + 19; y = l + 20. If d = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 10 to y, which gives y = r + 30.\n2. Substitute r = u + 7 to y, which gives y = u + 37.\n3. Substitute u = b + 3 to y, which gives y = b + 40.\n4. Substitute b = m + 20 to y, which gives y = m + 60.\n5. Substitute m = d + 15 to y, which gives y = d + 75.\n6. Substitute d = 13 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 20140,
"question": "Consider a system of variables where each variable is defined as follows: r = u + 7; m = d + 15; a = o + 1; o = p + 3; p = e + 18; u = b + 3; w = t + 8; t = d + 11; l = r + 10; b = m + 20; d = 13; e = w + 19; y = l + 20. If d = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 11", "c": "w + 6", "e": "c + 16", "b": "e + 3", "k": "b + 19", "y": "k + 17", "l": "o + 10", "s": "l + 8", "v": "s + 19", "f": "v + 3", "p": "f + 6", "z": "p + 16", "o": 3}, "premises": {"o": 3}, "target": "y"}, "answer": {"steps": [["k", "b + 19", "b + 36"], ["b", "e + 3", "e + 39"], ["e", "c + 16", "c + 55"], ["c", "w + 6", "w + 61"], ["w", "o + 11", "o + 72"], ["o", 3, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"o": 3}, "is_reverse": true}} | 20,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 11; o = 3; p = f + 6; s = l + 8; e = c + 16; l = o + 10; k = b + 19; z = p + 16; b = e + 3; c = w + 6; v = s + 19; f = v + 3; y = k + 17. If o = 3, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 19 to y, which gives y = b + 36.\n2. Substitute b = e + 3 to y, which gives y = e + 39.\n3. Substitute e = c + 16 to y, which gives y = c + 55.\n4. Substitute c = w + 6 to y, which gives y = w + 61.\n5. Substitute w = o + 11 to y, which gives y = o + 72.\n6. Substitute o = 3 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 20141,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 11; o = 3; p = f + 6; s = l + 8; e = c + 16; l = o + 10; k = b + 19; z = p + 16; b = e + 3; c = w + 6; v = s + 19; f = v + 3; y = k + 17. If o = 3, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 13", "e": "u + 17", "f": "e + 16", "o": "f + 17", "i": "o + 1", "h": "i + 20", "p": "m + 4", "v": "p + 4", "x": "v + 2", "t": "x + 10", "w": "t + 4", "q": "w + 3", "m": 15}, "premises": {"m": 15}, "target": "h"}, "answer": {"steps": [["i", "o + 1", "o + 21"], ["o", "f + 17", "f + 38"], ["f", "e + 16", "e + 54"], ["e", "u + 17", "u + 71"], ["u", "m + 13", "m + 84"], ["m", 15, "99"]], "target_var_name": "h", "target_value": 99, "value_dict": {"m": 15}, "is_reverse": true}} | 20,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 17; q = w + 3; i = o + 1; v = p + 4; t = x + 10; f = e + 16; w = t + 4; x = v + 2; u = m + 13; e = u + 17; m = 15; p = m + 4; h = i + 20. Given that m = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 1 to h, which gives h = o + 21.\n2. Substitute o = f + 17 to h, which gives h = f + 38.\n3. Substitute f = e + 16 to h, which gives h = e + 54.\n4. Substitute e = u + 17 to h, which gives h = u + 71.\n5. Substitute u = m + 13 to h, which gives h = m + 84.\n6. Substitute m = 15 to h, which gives h = 99.\n\nThus, the final answer is h = \\boxed{99}.",
"index": 20142,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 17; q = w + 3; i = o + 1; v = p + 4; t = x + 10; f = e + 16; w = t + 4; x = v + 2; u = m + 13; e = u + 17; m = 15; p = m + 4; h = i + 20. Given that m = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 11", "d": "t + 11", "g": "d + 6", "n": "g + 20", "q": "n + 7", "x": "q + 8", "a": "o + 12", "f": "a + 8", "w": "f + 8", "s": "w + 16", "z": "s + 1", "v": "z + 11", "o": 19}, "premises": {"o": 19}, "target": "x"}, "answer": {"steps": [["q", "n + 7", "n + 15"], ["n", "g + 20", "g + 35"], ["g", "d + 6", "d + 41"], ["d", "t + 11", "t + 52"], ["t", "o + 11", "o + 63"], ["o", 19, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"o": 19}, "is_reverse": true}} | 20,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 8; t = o + 11; d = t + 11; q = n + 7; f = a + 8; s = w + 16; g = d + 6; x = q + 8; v = z + 11; n = g + 20; z = s + 1; a = o + 12; o = 19. If o = 19, what is the resulting 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 q = n + 7 to x, which gives x = n + 15.\n2. Substitute n = g + 20 to x, which gives x = g + 35.\n3. Substitute g = d + 6 to x, which gives x = d + 41.\n4. Substitute d = t + 11 to x, which gives x = t + 52.\n5. Substitute t = o + 11 to x, which gives x = o + 63.\n6. Substitute o = 19 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 20143,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = f + 8; t = o + 11; d = t + 11; q = n + 7; f = a + 8; s = w + 16; g = d + 6; x = q + 8; v = z + 11; n = g + 20; z = s + 1; a = o + 12; o = 19. If o = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 13", "w": "b + 14", "c": "w + 11", "v": "c + 14", "j": "v + 6", "d": "j + 11", "x": "g + 7", "o": "x + 2", "u": "o + 20", "m": "u + 2", "i": "m + 6", "t": "i + 1", "g": 19}, "premises": {"g": 19}, "target": "d"}, "answer": {"steps": [["j", "v + 6", "v + 17"], ["v", "c + 14", "c + 31"], ["c", "w + 11", "w + 42"], ["w", "b + 14", "b + 56"], ["b", "g + 13", "g + 69"], ["g", 19, "88"]], "target_var_name": "d", "target_value": 88, "value_dict": {"g": 19}, "is_reverse": true}} | 20,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 11; m = u + 2; o = x + 2; v = c + 14; c = w + 11; u = o + 20; g = 19; b = g + 13; t = i + 1; w = b + 14; i = m + 6; x = g + 7; j = v + 6. If g = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 6 to d, which gives d = v + 17.\n2. Substitute v = c + 14 to d, which gives d = c + 31.\n3. Substitute c = w + 11 to d, which gives d = w + 42.\n4. Substitute w = b + 14 to d, which gives d = b + 56.\n5. Substitute b = g + 13 to d, which gives d = g + 69.\n6. Substitute g = 19 to d, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 20144,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 11; m = u + 2; o = x + 2; v = c + 14; c = w + 11; u = o + 20; g = 19; b = g + 13; t = i + 1; w = b + 14; i = m + 6; x = g + 7; j = v + 6. If g = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 14", "m": "p + 4", "a": "m + 20", "n": "a + 12", "j": "n + 10", "s": "j + 13", "o": "h + 15", "y": "o + 12", "b": "y + 11", "w": "b + 10", "t": "w + 5", "x": "t + 16", "h": 13}, "premises": {"h": 13}, "target": "s"}, "answer": {"steps": [["j", "n + 10", "n + 23"], ["n", "a + 12", "a + 35"], ["a", "m + 20", "m + 55"], ["m", "p + 4", "p + 59"], ["p", "h + 14", "h + 73"], ["h", 13, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"h": 13}, "is_reverse": true}} | 20,145 | 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 = h + 15; h = 13; b = y + 11; s = j + 13; n = a + 12; t = w + 5; a = m + 20; p = h + 14; x = t + 16; y = o + 12; w = b + 10; m = p + 4; j = n + 10. If h = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 10 to s, which gives s = n + 23.\n2. Substitute n = a + 12 to s, which gives s = a + 35.\n3. Substitute a = m + 20 to s, which gives s = m + 55.\n4. Substitute m = p + 4 to s, which gives s = p + 59.\n5. Substitute p = h + 14 to s, which gives s = h + 73.\n6. Substitute h = 13 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 20145,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 15; h = 13; b = y + 11; s = j + 13; n = a + 12; t = w + 5; a = m + 20; p = h + 14; x = t + 16; y = o + 12; w = b + 10; m = p + 4; j = n + 10. If h = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "a + 19", "l": "u + 5", "q": "l + 6", "p": "q + 9", "f": "p + 6", "h": "f + 10", "m": "a + 20", "x": "m + 14", "c": "x + 1", "w": "c + 11", "b": "w + 2", "k": "b + 3", "a": 4}, "premises": {"a": 4}, "target": "h"}, "answer": {"steps": [["f", "p + 6", "p + 16"], ["p", "q + 9", "q + 25"], ["q", "l + 6", "l + 31"], ["l", "u + 5", "u + 36"], ["u", "a + 19", "a + 55"], ["a", 4, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"a": 4}, "is_reverse": true}} | 20,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 6; x = m + 14; w = c + 11; f = p + 6; b = w + 2; h = f + 10; a = 4; l = u + 5; c = x + 1; m = a + 20; p = q + 9; k = b + 3; u = a + 19. Given that a = 4, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 6 to h, which gives h = p + 16.\n2. Substitute p = q + 9 to h, which gives h = q + 25.\n3. Substitute q = l + 6 to h, which gives h = l + 31.\n4. Substitute l = u + 5 to h, which gives h = u + 36.\n5. Substitute u = a + 19 to h, which gives h = a + 55.\n6. Substitute a = 4 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 20146,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 6; x = m + 14; w = c + 11; f = p + 6; b = w + 2; h = f + 10; a = 4; l = u + 5; c = x + 1; m = a + 20; p = q + 9; k = b + 3; u = a + 19. Given that a = 4, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 19", "n": "p + 16", "x": "n + 14", "d": "x + 8", "r": "d + 13", "u": "r + 19", "m": "h + 12", "w": "m + 15", "s": "w + 17", "z": "s + 10", "c": "z + 5", "q": "c + 18", "h": 12}, "premises": {"h": 12}, "target": "u"}, "answer": {"steps": [["r", "d + 13", "d + 32"], ["d", "x + 8", "x + 40"], ["x", "n + 14", "n + 54"], ["n", "p + 16", "p + 70"], ["p", "h + 19", "h + 89"], ["h", 12, "101"]], "target_var_name": "u", "target_value": 101, "value_dict": {"h": 12}, "is_reverse": true}} | 20,147 | 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; z = s + 10; r = d + 13; s = w + 17; q = c + 18; x = n + 14; c = z + 5; u = r + 19; d = x + 8; p = h + 19; h = 12; n = p + 16; w = m + 15. Given that h = 12, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 13 to u, which gives u = d + 32.\n2. Substitute d = x + 8 to u, which gives u = x + 40.\n3. Substitute x = n + 14 to u, which gives u = n + 54.\n4. Substitute n = p + 16 to u, which gives u = p + 70.\n5. Substitute p = h + 19 to u, which gives u = h + 89.\n6. Substitute h = 12 to u, which gives u = 101.\n\nThus, the final answer is u = \\boxed{101}.",
"index": 20147,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 12; z = s + 10; r = d + 13; s = w + 17; q = c + 18; x = n + 14; c = z + 5; u = r + 19; d = x + 8; p = h + 19; h = 12; n = p + 16; w = m + 15. Given that h = 12, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 14", "a": "s + 10", "e": "a + 10", "o": "e + 5", "u": "o + 18", "n": "u + 1", "r": "g + 19", "c": "r + 2", "h": "c + 14", "y": "h + 6", "z": "y + 6", "q": "z + 13", "g": 8}, "premises": {"g": 8}, "target": "n"}, "answer": {"steps": [["u", "o + 18", "o + 19"], ["o", "e + 5", "e + 24"], ["e", "a + 10", "a + 34"], ["a", "s + 10", "s + 44"], ["s", "g + 14", "g + 58"], ["g", 8, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"g": 8}, "is_reverse": true}} | 20,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 13; o = e + 5; r = g + 19; a = s + 10; e = a + 10; z = y + 6; y = h + 6; g = 8; u = o + 18; n = u + 1; s = g + 14; c = r + 2; h = c + 14. If g = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 18 to n, which gives n = o + 19.\n2. Substitute o = e + 5 to n, which gives n = e + 24.\n3. Substitute e = a + 10 to n, which gives n = a + 34.\n4. Substitute a = s + 10 to n, which gives n = s + 44.\n5. Substitute s = g + 14 to n, which gives n = g + 58.\n6. Substitute g = 8 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 20148,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 13; o = e + 5; r = g + 19; a = s + 10; e = a + 10; z = y + 6; y = h + 6; g = 8; u = o + 18; n = u + 1; s = g + 14; c = r + 2; h = c + 14. If g = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 6", "x": "g + 14", "d": "x + 9", "c": "d + 1", "s": "c + 20", "l": "s + 19", "o": "m + 9", "k": "o + 16", "n": "k + 3", "v": "n + 18", "z": "v + 12", "q": "z + 12", "m": 14}, "premises": {"m": 14}, "target": "l"}, "answer": {"steps": [["s", "c + 20", "c + 39"], ["c", "d + 1", "d + 40"], ["d", "x + 9", "x + 49"], ["x", "g + 14", "g + 63"], ["g", "m + 6", "m + 69"], ["m", 14, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"m": 14}, "is_reverse": true}} | 20,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 20; l = s + 19; k = o + 16; d = x + 9; m = 14; o = m + 9; z = v + 12; n = k + 3; x = g + 14; v = n + 18; q = z + 12; c = d + 1; g = m + 6. If m = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 20 to l, which gives l = c + 39.\n2. Substitute c = d + 1 to l, which gives l = d + 40.\n3. Substitute d = x + 9 to l, which gives l = x + 49.\n4. Substitute x = g + 14 to l, which gives l = g + 63.\n5. Substitute g = m + 6 to l, which gives l = m + 69.\n6. Substitute m = 14 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 20149,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 20; l = s + 19; k = o + 16; d = x + 9; m = 14; o = m + 9; z = v + 12; n = k + 3; x = g + 14; v = n + 18; q = z + 12; c = d + 1; g = m + 6. If m = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 1", "g": "x + 10", "u": "g + 1", "a": "u + 5", "m": "a + 19", "n": "m + 6", "d": "k + 4", "y": "d + 19", "t": "y + 3", "l": "t + 14", "o": "l + 5", "z": "o + 8", "k": 11}, "premises": {"k": 11}, "target": "n"}, "answer": {"steps": [["m", "a + 19", "a + 25"], ["a", "u + 5", "u + 30"], ["u", "g + 1", "g + 31"], ["g", "x + 10", "x + 41"], ["x", "k + 1", "k + 42"], ["k", 11, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"k": 11}, "is_reverse": true}} | 20,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = u + 5; u = g + 1; t = y + 3; l = t + 14; d = k + 4; k = 11; o = l + 5; n = m + 6; x = k + 1; z = o + 8; y = d + 19; g = x + 10; m = a + 19. Given that k = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 19 to n, which gives n = a + 25.\n2. Substitute a = u + 5 to n, which gives n = u + 30.\n3. Substitute u = g + 1 to n, which gives n = g + 31.\n4. Substitute g = x + 10 to n, which gives n = x + 41.\n5. Substitute x = k + 1 to n, which gives n = k + 42.\n6. Substitute k = 11 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 20150,
"question": "Suppose a collection of variables is related by the following definitions: a = u + 5; u = g + 1; t = y + 3; l = t + 14; d = k + 4; k = 11; o = l + 5; n = m + 6; x = k + 1; z = o + 8; y = d + 19; g = x + 10; m = a + 19. Given that k = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 15", "n": "k + 19", "u": "n + 8", "f": "u + 2", "w": "f + 8", "v": "w + 18", "s": "j + 19", "m": "s + 16", "b": "m + 3", "z": "b + 16", "p": "z + 4", "i": "p + 3", "j": 17}, "premises": {"j": 17}, "target": "v"}, "answer": {"steps": [["w", "f + 8", "f + 26"], ["f", "u + 2", "u + 28"], ["u", "n + 8", "n + 36"], ["n", "k + 19", "k + 55"], ["k", "j + 15", "j + 70"], ["j", 17, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"j": 17}, "is_reverse": true}} | 20,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 15; p = z + 4; u = n + 8; b = m + 3; i = p + 3; f = u + 2; z = b + 16; w = f + 8; j = 17; s = j + 19; m = s + 16; v = w + 18; n = k + 19. If j = 17, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 8 to v, which gives v = f + 26.\n2. Substitute f = u + 2 to v, which gives v = u + 28.\n3. Substitute u = n + 8 to v, which gives v = n + 36.\n4. Substitute n = k + 19 to v, which gives v = k + 55.\n5. Substitute k = j + 15 to v, which gives v = j + 70.\n6. Substitute j = 17 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 20151,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 15; p = z + 4; u = n + 8; b = m + 3; i = p + 3; f = u + 2; z = b + 16; w = f + 8; j = 17; s = j + 19; m = s + 16; v = w + 18; n = k + 19. If j = 17, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 12", "u": "z + 20", "d": "u + 6", "b": "d + 15", "k": "b + 4", "m": "k + 9", "p": "g + 9", "v": "p + 16", "w": "v + 17", "o": "w + 18", "t": "o + 7", "r": "t + 4", "g": 12}, "premises": {"g": 12}, "target": "m"}, "answer": {"steps": [["k", "b + 4", "b + 13"], ["b", "d + 15", "d + 28"], ["d", "u + 6", "u + 34"], ["u", "z + 20", "z + 54"], ["z", "g + 12", "g + 66"], ["g", 12, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"g": 12}, "is_reverse": true}} | 20,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 4; z = g + 12; m = k + 9; b = d + 15; t = o + 7; p = g + 9; o = w + 18; d = u + 6; w = v + 17; r = t + 4; g = 12; u = z + 20; v = p + 16. If g = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 4 to m, which gives m = b + 13.\n2. Substitute b = d + 15 to m, which gives m = d + 28.\n3. Substitute d = u + 6 to m, which gives m = u + 34.\n4. Substitute u = z + 20 to m, which gives m = z + 54.\n5. Substitute z = g + 12 to m, which gives m = g + 66.\n6. Substitute g = 12 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 20152,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 4; z = g + 12; m = k + 9; b = d + 15; t = o + 7; p = g + 9; o = w + 18; d = u + 6; w = v + 17; r = t + 4; g = 12; u = z + 20; v = p + 16. If g = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 6", "t": "g + 20", "j": "t + 18", "q": "j + 18", "f": "q + 7", "s": "f + 6", "m": "n + 16", "i": "m + 12", "e": "i + 4", "d": "e + 11", "w": "d + 2", "p": "w + 11", "n": 12}, "premises": {"n": 12}, "target": "s"}, "answer": {"steps": [["f", "q + 7", "q + 13"], ["q", "j + 18", "j + 31"], ["j", "t + 18", "t + 49"], ["t", "g + 20", "g + 69"], ["g", "n + 6", "n + 75"], ["n", 12, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"n": 12}, "is_reverse": true}} | 20,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 18; q = j + 18; n = 12; i = m + 12; w = d + 2; f = q + 7; g = n + 6; d = e + 11; p = w + 11; m = n + 16; s = f + 6; t = g + 20; e = i + 4. If n = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 7 to s, which gives s = q + 13.\n2. Substitute q = j + 18 to s, which gives s = j + 31.\n3. Substitute j = t + 18 to s, which gives s = t + 49.\n4. Substitute t = g + 20 to s, which gives s = g + 69.\n5. Substitute g = n + 6 to s, which gives s = n + 75.\n6. Substitute n = 12 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 20153,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 18; q = j + 18; n = 12; i = m + 12; w = d + 2; f = q + 7; g = n + 6; d = e + 11; p = w + 11; m = n + 16; s = f + 6; t = g + 20; e = i + 4. If n = 12, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 20", "w": "l + 15", "n": "w + 16", "c": "n + 18", "v": "c + 13", "t": "v + 3", "d": "m + 18", "o": "d + 15", "b": "o + 10", "u": "b + 4", "j": "u + 10", "p": "j + 7", "m": 9}, "premises": {"m": 9}, "target": "t"}, "answer": {"steps": [["v", "c + 13", "c + 16"], ["c", "n + 18", "n + 34"], ["n", "w + 16", "w + 50"], ["w", "l + 15", "l + 65"], ["l", "m + 20", "m + 85"], ["m", 9, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"m": 9}, "is_reverse": true}} | 20,154 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 18; n = w + 16; p = j + 7; m = 9; o = d + 15; j = u + 10; v = c + 13; t = v + 3; b = o + 10; l = m + 20; w = l + 15; d = m + 18; u = b + 4. If m = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 13 to t, which gives t = c + 16.\n2. Substitute c = n + 18 to t, which gives t = n + 34.\n3. Substitute n = w + 16 to t, which gives t = w + 50.\n4. Substitute w = l + 15 to t, which gives t = l + 65.\n5. Substitute l = m + 20 to t, which gives t = m + 85.\n6. Substitute m = 9 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 20154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 18; n = w + 16; p = j + 7; m = 9; o = d + 15; j = u + 10; v = c + 13; t = v + 3; b = o + 10; l = m + 20; w = l + 15; d = m + 18; u = b + 4. If m = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 19", "v": "u + 18", "a": "v + 18", "c": "a + 11", "e": "c + 15", "r": "e + 7", "n": "z + 12", "b": "n + 7", "l": "b + 4", "y": "l + 8", "p": "y + 3", "o": "p + 4", "z": 18}, "premises": {"z": 18}, "target": "r"}, "answer": {"steps": [["e", "c + 15", "c + 22"], ["c", "a + 11", "a + 33"], ["a", "v + 18", "v + 51"], ["v", "u + 18", "u + 69"], ["u", "z + 19", "z + 88"], ["z", 18, "106"]], "target_var_name": "r", "target_value": 106, "value_dict": {"z": 18}, "is_reverse": true}} | 20,155 | 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 = z + 19; n = z + 12; y = l + 8; o = p + 4; a = v + 18; p = y + 3; b = n + 7; v = u + 18; e = c + 15; c = a + 11; l = b + 4; r = e + 7; z = 18. If z = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 15 to r, which gives r = c + 22.\n2. Substitute c = a + 11 to r, which gives r = a + 33.\n3. Substitute a = v + 18 to r, which gives r = v + 51.\n4. Substitute v = u + 18 to r, which gives r = u + 69.\n5. Substitute u = z + 19 to r, which gives r = z + 88.\n6. Substitute z = 18 to r, which gives r = 106.\n\nThus, the final answer is r = \\boxed{106}.",
"index": 20155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 19; n = z + 12; y = l + 8; o = p + 4; a = v + 18; p = y + 3; b = n + 7; v = u + 18; e = c + 15; c = a + 11; l = b + 4; r = e + 7; z = 18. If z = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 18", "b": "a + 7", "j": "b + 19", "h": "j + 19", "q": "h + 1", "u": "q + 9", "p": "o + 19", "i": "p + 1", "w": "i + 15", "c": "w + 10", "l": "c + 7", "g": "l + 18", "o": 7}, "premises": {"o": 7}, "target": "u"}, "answer": {"steps": [["q", "h + 1", "h + 10"], ["h", "j + 19", "j + 29"], ["j", "b + 19", "b + 48"], ["b", "a + 7", "a + 55"], ["a", "o + 18", "o + 73"], ["o", 7, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"o": 7}, "is_reverse": true}} | 20,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 18; g = l + 18; i = p + 1; j = b + 19; h = j + 19; q = h + 1; u = q + 9; c = w + 10; l = c + 7; b = a + 7; o = 7; p = o + 19; w = i + 15. If o = 7, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 1 to u, which gives u = h + 10.\n2. Substitute h = j + 19 to u, which gives u = j + 29.\n3. Substitute j = b + 19 to u, which gives u = b + 48.\n4. Substitute b = a + 7 to u, which gives u = a + 55.\n5. Substitute a = o + 18 to u, which gives u = o + 73.\n6. Substitute o = 7 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 20156,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 18; g = l + 18; i = p + 1; j = b + 19; h = j + 19; q = h + 1; u = q + 9; c = w + 10; l = c + 7; b = a + 7; o = 7; p = o + 19; w = i + 15. If o = 7, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 6", "x": "h + 5", "m": "x + 14", "f": "m + 14", "s": "f + 3", "u": "s + 6", "c": "a + 11", "v": "c + 7", "o": "v + 15", "r": "o + 3", "n": "r + 17", "p": "n + 3", "a": 19}, "premises": {"a": 19}, "target": "u"}, "answer": {"steps": [["s", "f + 3", "f + 9"], ["f", "m + 14", "m + 23"], ["m", "x + 14", "x + 37"], ["x", "h + 5", "h + 42"], ["h", "a + 6", "a + 48"], ["a", 19, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"a": 19}, "is_reverse": true}} | 20,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 14; s = f + 3; x = h + 5; p = n + 3; u = s + 6; r = o + 3; v = c + 7; m = x + 14; c = a + 11; a = 19; n = r + 17; h = a + 6; o = v + 15. Given that a = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 3 to u, which gives u = f + 9.\n2. Substitute f = m + 14 to u, which gives u = m + 23.\n3. Substitute m = x + 14 to u, which gives u = x + 37.\n4. Substitute x = h + 5 to u, which gives u = h + 42.\n5. Substitute h = a + 6 to u, which gives u = a + 48.\n6. Substitute a = 19 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 20157,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 14; s = f + 3; x = h + 5; p = n + 3; u = s + 6; r = o + 3; v = c + 7; m = x + 14; c = a + 11; a = 19; n = r + 17; h = a + 6; o = v + 15. Given that a = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 6", "o": "c + 13", "i": "o + 7", "w": "i + 20", "u": "w + 18", "b": "u + 18", "g": "f + 11", "s": "g + 5", "r": "s + 6", "h": "r + 14", "z": "h + 3", "l": "z + 15", "f": 1}, "premises": {"f": 1}, "target": "b"}, "answer": {"steps": [["u", "w + 18", "w + 36"], ["w", "i + 20", "i + 56"], ["i", "o + 7", "o + 63"], ["o", "c + 13", "c + 76"], ["c", "f + 6", "f + 82"], ["f", 1, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"f": 1}, "is_reverse": true}} | 20,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 6; g = f + 11; w = i + 20; h = r + 14; c = f + 6; i = o + 7; o = c + 13; s = g + 5; f = 1; b = u + 18; z = h + 3; l = z + 15; u = w + 18. If f = 1, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 18 to b, which gives b = w + 36.\n2. Substitute w = i + 20 to b, which gives b = i + 56.\n3. Substitute i = o + 7 to b, which gives b = o + 63.\n4. Substitute o = c + 13 to b, which gives b = c + 76.\n5. Substitute c = f + 6 to b, which gives b = f + 82.\n6. Substitute f = 1 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 20158,
"question": "Consider a system of variables where each variable is defined as follows: r = s + 6; g = f + 11; w = i + 20; h = r + 14; c = f + 6; i = o + 7; o = c + 13; s = g + 5; f = 1; b = u + 18; z = h + 3; l = z + 15; u = w + 18. If f = 1, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 2", "v": "l + 7", "c": "v + 11", "u": "c + 19", "y": "u + 15", "x": "y + 18", "q": "g + 20", "e": "q + 14", "z": "e + 17", "m": "z + 3", "k": "m + 9", "r": "k + 20", "g": 8}, "premises": {"g": 8}, "target": "x"}, "answer": {"steps": [["y", "u + 15", "u + 33"], ["u", "c + 19", "c + 52"], ["c", "v + 11", "v + 63"], ["v", "l + 7", "l + 70"], ["l", "g + 2", "g + 72"], ["g", 8, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"g": 8}, "is_reverse": true}} | 20,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = q + 14; l = g + 2; m = z + 3; z = e + 17; q = g + 20; g = 8; v = l + 7; r = k + 20; y = u + 15; x = y + 18; k = m + 9; c = v + 11; u = c + 19. Given that g = 8, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 15 to x, which gives x = u + 33.\n2. Substitute u = c + 19 to x, which gives x = c + 52.\n3. Substitute c = v + 11 to x, which gives x = v + 63.\n4. Substitute v = l + 7 to x, which gives x = l + 70.\n5. Substitute l = g + 2 to x, which gives x = g + 72.\n6. Substitute g = 8 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 20159,
"question": "Suppose a collection of variables is related by the following definitions: e = q + 14; l = g + 2; m = z + 3; z = e + 17; q = g + 20; g = 8; v = l + 7; r = k + 20; y = u + 15; x = y + 18; k = m + 9; c = v + 11; u = c + 19. Given that g = 8, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 18", "c": "u + 14", "r": "c + 10", "h": "r + 4", "o": "h + 17", "j": "o + 15", "f": "q + 4", "i": "f + 9", "x": "i + 5", "w": "x + 18", "k": "w + 16", "a": "k + 13", "q": 11}, "premises": {"q": 11}, "target": "j"}, "answer": {"steps": [["o", "h + 17", "h + 32"], ["h", "r + 4", "r + 36"], ["r", "c + 10", "c + 46"], ["c", "u + 14", "u + 60"], ["u", "q + 18", "q + 78"], ["q", 11, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"q": 11}, "is_reverse": true}} | 20,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 15; o = h + 17; x = i + 5; r = c + 10; h = r + 4; k = w + 16; a = k + 13; q = 11; u = q + 18; f = q + 4; i = f + 9; w = x + 18; c = u + 14. Given that q = 11, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 17 to j, which gives j = h + 32.\n2. Substitute h = r + 4 to j, which gives j = r + 36.\n3. Substitute r = c + 10 to j, which gives j = c + 46.\n4. Substitute c = u + 14 to j, which gives j = u + 60.\n5. Substitute u = q + 18 to j, which gives j = q + 78.\n6. Substitute q = 11 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 20160,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 15; o = h + 17; x = i + 5; r = c + 10; h = r + 4; k = w + 16; a = k + 13; q = 11; u = q + 18; f = q + 4; i = f + 9; w = x + 18; c = u + 14. Given that q = 11, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 3", "k": "m + 2", "f": "k + 6", "u": "f + 6", "p": "u + 16", "j": "p + 13", "d": "i + 20", "n": "d + 1", "y": "n + 9", "t": "y + 7", "h": "t + 12", "c": "h + 5", "i": 13}, "premises": {"i": 13}, "target": "j"}, "answer": {"steps": [["p", "u + 16", "u + 29"], ["u", "f + 6", "f + 35"], ["f", "k + 6", "k + 41"], ["k", "m + 2", "m + 43"], ["m", "i + 3", "i + 46"], ["i", 13, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"i": 13}, "is_reverse": true}} | 20,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 2; h = t + 12; p = u + 16; y = n + 9; f = k + 6; d = i + 20; c = h + 5; m = i + 3; u = f + 6; j = p + 13; t = y + 7; n = d + 1; i = 13. If i = 13, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 16 to j, which gives j = u + 29.\n2. Substitute u = f + 6 to j, which gives j = f + 35.\n3. Substitute f = k + 6 to j, which gives j = k + 41.\n4. Substitute k = m + 2 to j, which gives j = m + 43.\n5. Substitute m = i + 3 to j, which gives j = i + 46.\n6. Substitute i = 13 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 20161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 2; h = t + 12; p = u + 16; y = n + 9; f = k + 6; d = i + 20; c = h + 5; m = i + 3; u = f + 6; j = p + 13; t = y + 7; n = d + 1; i = 13. If i = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 16", "h": "g + 20", "e": "h + 14", "y": "e + 13", "l": "y + 4", "x": "l + 14", "w": "t + 3", "f": "w + 12", "u": "f + 16", "c": "u + 1", "o": "c + 3", "b": "o + 7", "t": 17}, "premises": {"t": 17}, "target": "x"}, "answer": {"steps": [["l", "y + 4", "y + 18"], ["y", "e + 13", "e + 31"], ["e", "h + 14", "h + 45"], ["h", "g + 20", "g + 65"], ["g", "t + 16", "t + 81"], ["t", 17, "98"]], "target_var_name": "x", "target_value": 98, "value_dict": {"t": 17}, "is_reverse": true}} | 20,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = l + 14; l = y + 4; f = w + 12; w = t + 3; g = t + 16; h = g + 20; o = c + 3; b = o + 7; y = e + 13; t = 17; c = u + 1; u = f + 16; e = h + 14. Given that t = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 4 to x, which gives x = y + 18.\n2. Substitute y = e + 13 to x, which gives x = e + 31.\n3. Substitute e = h + 14 to x, which gives x = h + 45.\n4. Substitute h = g + 20 to x, which gives x = g + 65.\n5. Substitute g = t + 16 to x, which gives x = t + 81.\n6. Substitute t = 17 to x, which gives x = 98.\n\nThus, the final answer is x = \\boxed{98}.",
"index": 20162,
"question": "Suppose a collection of variables is related by the following definitions: x = l + 14; l = y + 4; f = w + 12; w = t + 3; g = t + 16; h = g + 20; o = c + 3; b = o + 7; y = e + 13; t = 17; c = u + 1; u = f + 16; e = h + 14. Given that t = 17, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 14", "h": "o + 19", "r": "h + 5", "c": "r + 18", "n": "c + 12", "w": "n + 3", "u": "s + 1", "j": "u + 10", "k": "j + 8", "g": "k + 3", "f": "g + 18", "e": "f + 7", "s": 13}, "premises": {"s": 13}, "target": "w"}, "answer": {"steps": [["n", "c + 12", "c + 15"], ["c", "r + 18", "r + 33"], ["r", "h + 5", "h + 38"], ["h", "o + 19", "o + 57"], ["o", "s + 14", "s + 71"], ["s", 13, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"s": 13}, "is_reverse": true}} | 20,163 | 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 = o + 19; u = s + 1; n = c + 12; e = f + 7; g = k + 3; o = s + 14; f = g + 18; k = j + 8; c = r + 18; j = u + 10; w = n + 3; s = 13; r = h + 5. If s = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 12 to w, which gives w = c + 15.\n2. Substitute c = r + 18 to w, which gives w = r + 33.\n3. Substitute r = h + 5 to w, which gives w = h + 38.\n4. Substitute h = o + 19 to w, which gives w = o + 57.\n5. Substitute o = s + 14 to w, which gives w = s + 71.\n6. Substitute s = 13 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 20163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 19; u = s + 1; n = c + 12; e = f + 7; g = k + 3; o = s + 14; f = g + 18; k = j + 8; c = r + 18; j = u + 10; w = n + 3; s = 13; r = h + 5. If s = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 10", "y": "f + 4", "n": "y + 15", "q": "n + 17", "d": "q + 16", "k": "d + 20", "s": "g + 3", "m": "s + 19", "w": "m + 16", "o": "w + 3", "x": "o + 5", "z": "x + 15", "g": 8}, "premises": {"g": 8}, "target": "k"}, "answer": {"steps": [["d", "q + 16", "q + 36"], ["q", "n + 17", "n + 53"], ["n", "y + 15", "y + 68"], ["y", "f + 4", "f + 72"], ["f", "g + 10", "g + 82"], ["g", 8, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"g": 8}, "is_reverse": true}} | 20,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 15; d = q + 16; w = m + 16; f = g + 10; o = w + 3; n = y + 15; m = s + 19; x = o + 5; y = f + 4; s = g + 3; q = n + 17; k = d + 20; g = 8. If g = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 16 to k, which gives k = q + 36.\n2. Substitute q = n + 17 to k, which gives k = n + 53.\n3. Substitute n = y + 15 to k, which gives k = y + 68.\n4. Substitute y = f + 4 to k, which gives k = f + 72.\n5. Substitute f = g + 10 to k, which gives k = g + 82.\n6. Substitute g = 8 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 20164,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 15; d = q + 16; w = m + 16; f = g + 10; o = w + 3; n = y + 15; m = s + 19; x = o + 5; y = f + 4; s = g + 3; q = n + 17; k = d + 20; g = 8. If g = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 10", "c": "s + 9", "p": "c + 14", "i": "p + 15", "t": "i + 7", "x": "t + 17", "q": "j + 5", "h": "q + 2", "o": "h + 17", "g": "o + 6", "a": "g + 19", "y": "a + 2", "j": 8}, "premises": {"j": 8}, "target": "x"}, "answer": {"steps": [["t", "i + 7", "i + 24"], ["i", "p + 15", "p + 39"], ["p", "c + 14", "c + 53"], ["c", "s + 9", "s + 62"], ["s", "j + 10", "j + 72"], ["j", 8, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"j": 8}, "is_reverse": true}} | 20,165 | 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 = i + 7; s = j + 10; q = j + 5; h = q + 2; o = h + 17; y = a + 2; a = g + 19; x = t + 17; i = p + 15; g = o + 6; c = s + 9; j = 8; p = c + 14. If j = 8, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 7 to x, which gives x = i + 24.\n2. Substitute i = p + 15 to x, which gives x = p + 39.\n3. Substitute p = c + 14 to x, which gives x = c + 53.\n4. Substitute c = s + 9 to x, which gives x = s + 62.\n5. Substitute s = j + 10 to x, which gives x = j + 72.\n6. Substitute j = 8 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 20165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 7; s = j + 10; q = j + 5; h = q + 2; o = h + 17; y = a + 2; a = g + 19; x = t + 17; i = p + 15; g = o + 6; c = s + 9; j = 8; p = c + 14. If j = 8, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 1", "s": "f + 17", "p": "s + 18", "g": "p + 5", "w": "g + 4", "e": "w + 1", "z": "x + 6", "t": "z + 10", "j": "t + 12", "n": "j + 14", "l": "n + 16", "c": "l + 4", "x": 19}, "premises": {"x": 19}, "target": "e"}, "answer": {"steps": [["w", "g + 4", "g + 5"], ["g", "p + 5", "p + 10"], ["p", "s + 18", "s + 28"], ["s", "f + 17", "f + 45"], ["f", "x + 1", "x + 46"], ["x", 19, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"x": 19}, "is_reverse": true}} | 20,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 19; p = s + 18; g = p + 5; t = z + 10; e = w + 1; l = n + 16; w = g + 4; z = x + 6; c = l + 4; f = x + 1; n = j + 14; s = f + 17; j = t + 12. If x = 19, what is the resulting 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 w = g + 4 to e, which gives e = g + 5.\n2. Substitute g = p + 5 to e, which gives e = p + 10.\n3. Substitute p = s + 18 to e, which gives e = s + 28.\n4. Substitute s = f + 17 to e, which gives e = f + 45.\n5. Substitute f = x + 1 to e, which gives e = x + 46.\n6. Substitute x = 19 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 20166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 19; p = s + 18; g = p + 5; t = z + 10; e = w + 1; l = n + 16; w = g + 4; z = x + 6; c = l + 4; f = x + 1; n = j + 14; s = f + 17; j = t + 12. If x = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 4", "b": "c + 1", "m": "b + 13", "e": "m + 1", "r": "e + 12", "k": "r + 12", "n": "j + 16", "w": "n + 14", "s": "w + 3", "u": "s + 13", "d": "u + 9", "t": "d + 8", "j": 2}, "premises": {"j": 2}, "target": "k"}, "answer": {"steps": [["r", "e + 12", "e + 24"], ["e", "m + 1", "m + 25"], ["m", "b + 13", "b + 38"], ["b", "c + 1", "c + 39"], ["c", "j + 4", "j + 43"], ["j", 2, "45"]], "target_var_name": "k", "target_value": 45, "value_dict": {"j": 2}, "is_reverse": true}} | 20,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 16; s = w + 3; j = 2; m = b + 13; k = r + 12; t = d + 8; w = n + 14; u = s + 13; b = c + 1; d = u + 9; e = m + 1; r = e + 12; c = j + 4. If j = 2, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 12 to k, which gives k = e + 24.\n2. Substitute e = m + 1 to k, which gives k = m + 25.\n3. Substitute m = b + 13 to k, which gives k = b + 38.\n4. Substitute b = c + 1 to k, which gives k = c + 39.\n5. Substitute c = j + 4 to k, which gives k = j + 43.\n6. Substitute j = 2 to k, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 20167,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 16; s = w + 3; j = 2; m = b + 13; k = r + 12; t = d + 8; w = n + 14; u = s + 13; b = c + 1; d = u + 9; e = m + 1; r = e + 12; c = j + 4. If j = 2, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 1", "t": "w + 4", "x": "t + 6", "m": "x + 9", "b": "m + 17", "i": "b + 6", "n": "q + 13", "z": "n + 10", "y": "z + 10", "l": "y + 18", "j": "l + 1", "v": "j + 7", "q": 5}, "premises": {"q": 5}, "target": "i"}, "answer": {"steps": [["b", "m + 17", "m + 23"], ["m", "x + 9", "x + 32"], ["x", "t + 6", "t + 38"], ["t", "w + 4", "w + 42"], ["w", "q + 1", "q + 43"], ["q", 5, "48"]], "target_var_name": "i", "target_value": 48, "value_dict": {"q": 5}, "is_reverse": true}} | 20,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 6; l = y + 18; w = q + 1; n = q + 13; m = x + 9; t = w + 4; v = j + 7; i = b + 6; q = 5; z = n + 10; y = z + 10; j = l + 1; b = m + 17. If q = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 17 to i, which gives i = m + 23.\n2. Substitute m = x + 9 to i, which gives i = x + 32.\n3. Substitute x = t + 6 to i, which gives i = t + 38.\n4. Substitute t = w + 4 to i, which gives i = w + 42.\n5. Substitute w = q + 1 to i, which gives i = q + 43.\n6. Substitute q = 5 to i, which gives i = 48.\n\nThus, the final answer is i = \\boxed{48}.",
"index": 20168,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 6; l = y + 18; w = q + 1; n = q + 13; m = x + 9; t = w + 4; v = j + 7; i = b + 6; q = 5; z = n + 10; y = z + 10; j = l + 1; b = m + 17. If q = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 8", "s": "g + 2", "p": "s + 8", "x": "p + 18", "v": "x + 8", "y": "v + 1", "z": "h + 2", "e": "z + 2", "j": "e + 7", "n": "j + 18", "t": "n + 12", "r": "t + 9", "h": 8}, "premises": {"h": 8}, "target": "y"}, "answer": {"steps": [["v", "x + 8", "x + 9"], ["x", "p + 18", "p + 27"], ["p", "s + 8", "s + 35"], ["s", "g + 2", "g + 37"], ["g", "h + 8", "h + 45"], ["h", 8, "53"]], "target_var_name": "y", "target_value": 53, "value_dict": {"h": 8}, "is_reverse": true}} | 20,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = x + 8; n = j + 18; h = 8; x = p + 18; z = h + 2; j = e + 7; e = z + 2; g = h + 8; t = n + 12; p = s + 8; y = v + 1; r = t + 9; s = g + 2. Given that h = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 8 to y, which gives y = x + 9.\n2. Substitute x = p + 18 to y, which gives y = p + 27.\n3. Substitute p = s + 8 to y, which gives y = s + 35.\n4. Substitute s = g + 2 to y, which gives y = g + 37.\n5. Substitute g = h + 8 to y, which gives y = h + 45.\n6. Substitute h = 8 to y, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 20169,
"question": "Suppose a collection of variables is related by the following definitions: v = x + 8; n = j + 18; h = 8; x = p + 18; z = h + 2; j = e + 7; e = z + 2; g = h + 8; t = n + 12; p = s + 8; y = v + 1; r = t + 9; s = g + 2. Given that h = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 11", "s": "m + 14", "w": "s + 3", "i": "w + 14", "c": "i + 5", "j": "c + 13", "l": "e + 9", "k": "l + 18", "b": "k + 5", "h": "b + 10", "r": "h + 9", "u": "r + 16", "e": 5}, "premises": {"e": 5}, "target": "j"}, "answer": {"steps": [["c", "i + 5", "i + 18"], ["i", "w + 14", "w + 32"], ["w", "s + 3", "s + 35"], ["s", "m + 14", "m + 49"], ["m", "e + 11", "e + 60"], ["e", 5, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"e": 5}, "is_reverse": true}} | 20,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 3; s = m + 14; m = e + 11; c = i + 5; e = 5; l = e + 9; i = w + 14; j = c + 13; r = h + 9; h = b + 10; k = l + 18; b = k + 5; u = r + 16. Given that e = 5, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 5 to j, which gives j = i + 18.\n2. Substitute i = w + 14 to j, which gives j = w + 32.\n3. Substitute w = s + 3 to j, which gives j = s + 35.\n4. Substitute s = m + 14 to j, which gives j = m + 49.\n5. Substitute m = e + 11 to j, which gives j = e + 60.\n6. Substitute e = 5 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 20170,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 3; s = m + 14; m = e + 11; c = i + 5; e = 5; l = e + 9; i = w + 14; j = c + 13; r = h + 9; h = b + 10; k = l + 18; b = k + 5; u = r + 16. Given that e = 5, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 17", "i": "q + 15", "o": "i + 3", "d": "o + 4", "f": "d + 1", "r": "f + 20", "a": "e + 2", "g": "a + 3", "w": "g + 5", "x": "w + 15", "m": "x + 3", "u": "m + 20", "e": 8}, "premises": {"e": 8}, "target": "r"}, "answer": {"steps": [["f", "d + 1", "d + 21"], ["d", "o + 4", "o + 25"], ["o", "i + 3", "i + 28"], ["i", "q + 15", "q + 43"], ["q", "e + 17", "e + 60"], ["e", 8, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"e": 8}, "is_reverse": true}} | 20,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 8; i = q + 15; x = w + 15; m = x + 3; d = o + 4; f = d + 1; a = e + 2; g = a + 3; w = g + 5; r = f + 20; q = e + 17; o = i + 3; u = m + 20. Given that e = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 1 to r, which gives r = d + 21.\n2. Substitute d = o + 4 to r, which gives r = o + 25.\n3. Substitute o = i + 3 to r, which gives r = i + 28.\n4. Substitute i = q + 15 to r, which gives r = q + 43.\n5. Substitute q = e + 17 to r, which gives r = e + 60.\n6. Substitute e = 8 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 20171,
"question": "Suppose a collection of variables is related by the following definitions: e = 8; i = q + 15; x = w + 15; m = x + 3; d = o + 4; f = d + 1; a = e + 2; g = a + 3; w = g + 5; r = f + 20; q = e + 17; o = i + 3; u = m + 20. Given that e = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 6", "t": "o + 4", "n": "t + 12", "a": "n + 3", "v": "a + 9", "e": "v + 4", "r": "d + 17", "m": "r + 6", "b": "m + 3", "f": "b + 9", "g": "f + 9", "q": "g + 11", "d": 12}, "premises": {"d": 12}, "target": "e"}, "answer": {"steps": [["v", "a + 9", "a + 13"], ["a", "n + 3", "n + 16"], ["n", "t + 12", "t + 28"], ["t", "o + 4", "o + 32"], ["o", "d + 6", "d + 38"], ["d", 12, "50"]], "target_var_name": "e", "target_value": 50, "value_dict": {"d": 12}, "is_reverse": true}} | 20,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = o + 4; o = d + 6; d = 12; m = r + 6; e = v + 4; v = a + 9; a = n + 3; r = d + 17; f = b + 9; g = f + 9; b = m + 3; q = g + 11; n = t + 12. Given that d = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 9 to e, which gives e = a + 13.\n2. Substitute a = n + 3 to e, which gives e = n + 16.\n3. Substitute n = t + 12 to e, which gives e = t + 28.\n4. Substitute t = o + 4 to e, which gives e = o + 32.\n5. Substitute o = d + 6 to e, which gives e = d + 38.\n6. Substitute d = 12 to e, which gives e = 50.\n\nThus, the final answer is e = \\boxed{50}.",
"index": 20172,
"question": "Suppose a collection of variables is related by the following definitions: t = o + 4; o = d + 6; d = 12; m = r + 6; e = v + 4; v = a + 9; a = n + 3; r = d + 17; f = b + 9; g = f + 9; b = m + 3; q = g + 11; n = t + 12. Given that d = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 2", "e": "x + 1", "i": "e + 13", "l": "i + 17", "n": "l + 17", "t": "n + 3", "y": "h + 9", "s": "y + 15", "g": "s + 9", "d": "g + 13", "u": "d + 1", "m": "u + 15", "h": 15}, "premises": {"h": 15}, "target": "t"}, "answer": {"steps": [["n", "l + 17", "l + 20"], ["l", "i + 17", "i + 37"], ["i", "e + 13", "e + 50"], ["e", "x + 1", "x + 51"], ["x", "h + 2", "h + 53"], ["h", 15, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"h": 15}, "is_reverse": true}} | 20,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 3; s = y + 15; e = x + 1; g = s + 9; x = h + 2; i = e + 13; d = g + 13; y = h + 9; l = i + 17; n = l + 17; m = u + 15; h = 15; u = d + 1. Given that h = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 17 to t, which gives t = l + 20.\n2. Substitute l = i + 17 to t, which gives t = i + 37.\n3. Substitute i = e + 13 to t, which gives t = e + 50.\n4. Substitute e = x + 1 to t, which gives t = x + 51.\n5. Substitute x = h + 2 to t, which gives t = h + 53.\n6. Substitute h = 15 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 20173,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 3; s = y + 15; e = x + 1; g = s + 9; x = h + 2; i = e + 13; d = g + 13; y = h + 9; l = i + 17; n = l + 17; m = u + 15; h = 15; u = d + 1. Given that h = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 9", "z": "i + 1", "e": "z + 19", "g": "e + 13", "v": "g + 13", "q": "v + 15", "p": "y + 2", "d": "p + 16", "h": "d + 7", "o": "h + 14", "m": "o + 14", "f": "m + 4", "y": 20}, "premises": {"y": 20}, "target": "q"}, "answer": {"steps": [["v", "g + 13", "g + 28"], ["g", "e + 13", "e + 41"], ["e", "z + 19", "z + 60"], ["z", "i + 1", "i + 61"], ["i", "y + 9", "y + 70"], ["y", 20, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"y": 20}, "is_reverse": true}} | 20,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 9; d = p + 16; m = o + 14; o = h + 14; f = m + 4; v = g + 13; y = 20; g = e + 13; h = d + 7; z = i + 1; p = y + 2; q = v + 15; e = z + 19. If y = 20, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 13 to q, which gives q = g + 28.\n2. Substitute g = e + 13 to q, which gives q = e + 41.\n3. Substitute e = z + 19 to q, which gives q = z + 60.\n4. Substitute z = i + 1 to q, which gives q = i + 61.\n5. Substitute i = y + 9 to q, which gives q = y + 70.\n6. Substitute y = 20 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 20174,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 9; d = p + 16; m = o + 14; o = h + 14; f = m + 4; v = g + 13; y = 20; g = e + 13; h = d + 7; z = i + 1; p = y + 2; q = v + 15; e = z + 19. If y = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 15", "a": "r + 5", "e": "a + 5", "h": "e + 12", "u": "h + 12", "t": "u + 1", "p": "g + 2", "q": "p + 5", "s": "q + 3", "c": "s + 20", "v": "c + 13", "m": "v + 10", "g": 2}, "premises": {"g": 2}, "target": "t"}, "answer": {"steps": [["u", "h + 12", "h + 13"], ["h", "e + 12", "e + 25"], ["e", "a + 5", "a + 30"], ["a", "r + 5", "r + 35"], ["r", "g + 15", "g + 50"], ["g", 2, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"g": 2}, "is_reverse": true}} | 20,175 | 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 = c + 13; m = v + 10; r = g + 15; q = p + 5; e = a + 5; p = g + 2; s = q + 3; c = s + 20; g = 2; h = e + 12; t = u + 1; u = h + 12; a = r + 5. If g = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 12 to t, which gives t = h + 13.\n2. Substitute h = e + 12 to t, which gives t = e + 25.\n3. Substitute e = a + 5 to t, which gives t = a + 30.\n4. Substitute a = r + 5 to t, which gives t = r + 35.\n5. Substitute r = g + 15 to t, which gives t = g + 50.\n6. Substitute g = 2 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 20175,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 13; m = v + 10; r = g + 15; q = p + 5; e = a + 5; p = g + 2; s = q + 3; c = s + 20; g = 2; h = e + 12; t = u + 1; u = h + 12; a = r + 5. If g = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 7", "o": "t + 1", "i": "o + 6", "b": "i + 8", "u": "b + 5", "m": "u + 8", "h": "q + 20", "y": "h + 13", "p": "y + 12", "e": "p + 7", "w": "e + 20", "s": "w + 17", "q": 16}, "premises": {"q": 16}, "target": "m"}, "answer": {"steps": [["u", "b + 5", "b + 13"], ["b", "i + 8", "i + 21"], ["i", "o + 6", "o + 27"], ["o", "t + 1", "t + 28"], ["t", "q + 7", "q + 35"], ["q", 16, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"q": 16}, "is_reverse": true}} | 20,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 13; b = i + 8; u = b + 5; o = t + 1; w = e + 20; h = q + 20; s = w + 17; e = p + 7; q = 16; m = u + 8; i = o + 6; p = y + 12; t = q + 7. Given that q = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 5 to m, which gives m = b + 13.\n2. Substitute b = i + 8 to m, which gives m = i + 21.\n3. Substitute i = o + 6 to m, which gives m = o + 27.\n4. Substitute o = t + 1 to m, which gives m = t + 28.\n5. Substitute t = q + 7 to m, which gives m = q + 35.\n6. Substitute q = 16 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 20176,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 13; b = i + 8; u = b + 5; o = t + 1; w = e + 20; h = q + 20; s = w + 17; e = p + 7; q = 16; m = u + 8; i = o + 6; p = y + 12; t = q + 7. Given that q = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 17", "q": "r + 10", "o": "q + 9", "m": "o + 20", "e": "m + 17", "j": "e + 7", "g": "u + 3", "h": "g + 5", "b": "h + 20", "y": "b + 6", "a": "y + 18", "w": "a + 15", "u": 3}, "premises": {"u": 3}, "target": "j"}, "answer": {"steps": [["e", "m + 17", "m + 24"], ["m", "o + 20", "o + 44"], ["o", "q + 9", "q + 53"], ["q", "r + 10", "r + 63"], ["r", "u + 17", "u + 80"], ["u", 3, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"u": 3}, "is_reverse": true}} | 20,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 17; e = m + 17; o = q + 9; y = b + 6; h = g + 5; b = h + 20; q = r + 10; w = a + 15; a = y + 18; m = o + 20; g = u + 3; u = 3; j = e + 7. If u = 3, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 17 to j, which gives j = m + 24.\n2. Substitute m = o + 20 to j, which gives j = o + 44.\n3. Substitute o = q + 9 to j, which gives j = q + 53.\n4. Substitute q = r + 10 to j, which gives j = r + 63.\n5. Substitute r = u + 17 to j, which gives j = u + 80.\n6. Substitute u = 3 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 20177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 17; e = m + 17; o = q + 9; y = b + 6; h = g + 5; b = h + 20; q = r + 10; w = a + 15; a = y + 18; m = o + 20; g = u + 3; u = 3; j = e + 7. If u = 3, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 13", "g": "p + 15", "u": "g + 12", "v": "u + 15", "o": "v + 1", "s": "o + 17", "l": "i + 20", "b": "l + 14", "j": "b + 18", "t": "j + 14", "n": "t + 7", "m": "n + 10", "i": 4}, "premises": {"i": 4}, "target": "s"}, "answer": {"steps": [["o", "v + 1", "v + 18"], ["v", "u + 15", "u + 33"], ["u", "g + 12", "g + 45"], ["g", "p + 15", "p + 60"], ["p", "i + 13", "i + 73"], ["i", 4, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"i": 4}, "is_reverse": true}} | 20,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 14; p = i + 13; u = g + 12; b = l + 14; v = u + 15; s = o + 17; o = v + 1; g = p + 15; m = n + 10; j = b + 18; i = 4; n = t + 7; l = i + 20. If i = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 1 to s, which gives s = v + 18.\n2. Substitute v = u + 15 to s, which gives s = u + 33.\n3. Substitute u = g + 12 to s, which gives s = g + 45.\n4. Substitute g = p + 15 to s, which gives s = p + 60.\n5. Substitute p = i + 13 to s, which gives s = i + 73.\n6. Substitute i = 4 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 20178,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 14; p = i + 13; u = g + 12; b = l + 14; v = u + 15; s = o + 17; o = v + 1; g = p + 15; m = n + 10; j = b + 18; i = 4; n = t + 7; l = i + 20. If i = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 18", "m": "x + 8", "o": "m + 12", "i": "o + 9", "g": "i + 17", "c": "g + 4", "b": "v + 13", "l": "b + 10", "s": "l + 4", "n": "s + 4", "y": "n + 18", "j": "y + 15", "v": 4}, "premises": {"v": 4}, "target": "c"}, "answer": {"steps": [["g", "i + 17", "i + 21"], ["i", "o + 9", "o + 30"], ["o", "m + 12", "m + 42"], ["m", "x + 8", "x + 50"], ["x", "v + 18", "v + 68"], ["v", 4, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"v": 4}, "is_reverse": true}} | 20,179 | 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 + 10; y = n + 18; c = g + 4; g = i + 17; v = 4; o = m + 12; m = x + 8; i = o + 9; n = s + 4; j = y + 15; b = v + 13; s = l + 4; x = v + 18. If v = 4, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 17 to c, which gives c = i + 21.\n2. Substitute i = o + 9 to c, which gives c = o + 30.\n3. Substitute o = m + 12 to c, which gives c = m + 42.\n4. Substitute m = x + 8 to c, which gives c = x + 50.\n5. Substitute x = v + 18 to c, which gives c = v + 68.\n6. Substitute v = 4 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 20179,
"question": "Consider a system of variables where each variable is defined as follows: l = b + 10; y = n + 18; c = g + 4; g = i + 17; v = 4; o = m + 12; m = x + 8; i = o + 9; n = s + 4; j = y + 15; b = v + 13; s = l + 4; x = v + 18. If v = 4, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 19", "z": "h + 5", "e": "z + 18", "m": "e + 20", "l": "m + 13", "d": "l + 12", "b": "w + 1", "a": "b + 14", "p": "a + 10", "v": "p + 18", "c": "v + 17", "u": "c + 14", "w": 14}, "premises": {"w": 14}, "target": "d"}, "answer": {"steps": [["l", "m + 13", "m + 25"], ["m", "e + 20", "e + 45"], ["e", "z + 18", "z + 63"], ["z", "h + 5", "h + 68"], ["h", "w + 19", "w + 87"], ["w", 14, "101"]], "target_var_name": "d", "target_value": 101, "value_dict": {"w": 14}, "is_reverse": true}} | 20,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 18; w = 14; a = b + 14; l = m + 13; b = w + 1; p = a + 10; v = p + 18; c = v + 17; u = c + 14; m = e + 20; h = w + 19; d = l + 12; z = h + 5. Given that w = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 13 to d, which gives d = m + 25.\n2. Substitute m = e + 20 to d, which gives d = e + 45.\n3. Substitute e = z + 18 to d, which gives d = z + 63.\n4. Substitute z = h + 5 to d, which gives d = h + 68.\n5. Substitute h = w + 19 to d, which gives d = w + 87.\n6. Substitute w = 14 to d, which gives d = 101.\n\nThus, the final answer is d = \\boxed{101}.",
"index": 20180,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 18; w = 14; a = b + 14; l = m + 13; b = w + 1; p = a + 10; v = p + 18; c = v + 17; u = c + 14; m = e + 20; h = w + 19; d = l + 12; z = h + 5. Given that w = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 11", "e": "q + 20", "h": "e + 15", "w": "h + 12", "z": "w + 6", "b": "z + 3", "a": "k + 1", "y": "a + 8", "c": "y + 19", "d": "c + 13", "f": "d + 8", "t": "f + 14", "k": 6}, "premises": {"k": 6}, "target": "b"}, "answer": {"steps": [["z", "w + 6", "w + 9"], ["w", "h + 12", "h + 21"], ["h", "e + 15", "e + 36"], ["e", "q + 20", "q + 56"], ["q", "k + 11", "k + 67"], ["k", 6, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"k": 6}, "is_reverse": true}} | 20,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 6; q = k + 11; e = q + 20; a = k + 1; b = z + 3; f = d + 8; c = y + 19; h = e + 15; t = f + 14; d = c + 13; y = a + 8; k = 6; w = h + 12. Given that k = 6, 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 z = w + 6 to b, which gives b = w + 9.\n2. Substitute w = h + 12 to b, which gives b = h + 21.\n3. Substitute h = e + 15 to b, which gives b = e + 36.\n4. Substitute e = q + 20 to b, which gives b = q + 56.\n5. Substitute q = k + 11 to b, which gives b = k + 67.\n6. Substitute k = 6 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 20181,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 6; q = k + 11; e = q + 20; a = k + 1; b = z + 3; f = d + 8; c = y + 19; h = e + 15; t = f + 14; d = c + 13; y = a + 8; k = 6; w = h + 12. Given that k = 6, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 14", "o": "q + 13", "v": "o + 7", "f": "v + 18", "c": "f + 9", "h": "c + 1", "n": "y + 12", "x": "n + 6", "j": "x + 1", "p": "j + 8", "g": "p + 16", "b": "g + 20", "y": 8}, "premises": {"y": 8}, "target": "h"}, "answer": {"steps": [["c", "f + 9", "f + 10"], ["f", "v + 18", "v + 28"], ["v", "o + 7", "o + 35"], ["o", "q + 13", "q + 48"], ["q", "y + 14", "y + 62"], ["y", 8, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"y": 8}, "is_reverse": true}} | 20,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = j + 8; h = c + 1; j = x + 1; x = n + 6; c = f + 9; f = v + 18; o = q + 13; v = o + 7; y = 8; g = p + 16; b = g + 20; q = y + 14; n = y + 12. Given that y = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 9 to h, which gives h = f + 10.\n2. Substitute f = v + 18 to h, which gives h = v + 28.\n3. Substitute v = o + 7 to h, which gives h = o + 35.\n4. Substitute o = q + 13 to h, which gives h = q + 48.\n5. Substitute q = y + 14 to h, which gives h = y + 62.\n6. Substitute y = 8 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 20182,
"question": "Suppose a collection of variables is related by the following definitions: p = j + 8; h = c + 1; j = x + 1; x = n + 6; c = f + 9; f = v + 18; o = q + 13; v = o + 7; y = 8; g = p + 16; b = g + 20; q = y + 14; n = y + 12. Given that y = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 4", "m": "u + 11", "p": "m + 7", "c": "p + 17", "e": "c + 14", "x": "e + 16", "b": "r + 10", "q": "b + 2", "f": "q + 9", "w": "f + 20", "a": "w + 6", "g": "a + 14", "r": 4}, "premises": {"r": 4}, "target": "x"}, "answer": {"steps": [["e", "c + 14", "c + 30"], ["c", "p + 17", "p + 47"], ["p", "m + 7", "m + 54"], ["m", "u + 11", "u + 65"], ["u", "r + 4", "r + 69"], ["r", 4, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"r": 4}, "is_reverse": true}} | 20,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 9; q = b + 2; p = m + 7; m = u + 11; c = p + 17; g = a + 14; w = f + 20; u = r + 4; x = e + 16; a = w + 6; r = 4; b = r + 10; e = c + 14. If r = 4, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 14 to x, which gives x = c + 30.\n2. Substitute c = p + 17 to x, which gives x = p + 47.\n3. Substitute p = m + 7 to x, which gives x = m + 54.\n4. Substitute m = u + 11 to x, which gives x = u + 65.\n5. Substitute u = r + 4 to x, which gives x = r + 69.\n6. Substitute r = 4 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 20183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 9; q = b + 2; p = m + 7; m = u + 11; c = p + 17; g = a + 14; w = f + 20; u = r + 4; x = e + 16; a = w + 6; r = 4; b = r + 10; e = c + 14. If r = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 1", "r": "z + 14", "v": "r + 16", "y": "v + 18", "w": "y + 4", "s": "w + 9", "x": "k + 8", "u": "x + 3", "m": "u + 9", "i": "m + 5", "o": "i + 18", "a": "o + 13", "k": 6}, "premises": {"k": 6}, "target": "s"}, "answer": {"steps": [["w", "y + 4", "y + 13"], ["y", "v + 18", "v + 31"], ["v", "r + 16", "r + 47"], ["r", "z + 14", "z + 61"], ["z", "k + 1", "k + 62"], ["k", 6, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"k": 6}, "is_reverse": true}} | 20,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = k + 1; x = k + 8; y = v + 18; a = o + 13; m = u + 9; k = 6; r = z + 14; i = m + 5; s = w + 9; v = r + 16; o = i + 18; w = y + 4; u = x + 3. Given that k = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 4 to s, which gives s = y + 13.\n2. Substitute y = v + 18 to s, which gives s = v + 31.\n3. Substitute v = r + 16 to s, which gives s = r + 47.\n4. Substitute r = z + 14 to s, which gives s = z + 61.\n5. Substitute z = k + 1 to s, which gives s = k + 62.\n6. Substitute k = 6 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 20184,
"question": "Suppose a collection of variables is related by the following definitions: z = k + 1; x = k + 8; y = v + 18; a = o + 13; m = u + 9; k = 6; r = z + 14; i = m + 5; s = w + 9; v = r + 16; o = i + 18; w = y + 4; u = x + 3. Given that k = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 15", "w": "l + 14", "p": "w + 14", "q": "p + 11", "z": "q + 17", "u": "z + 8", "b": "e + 10", "n": "b + 13", "i": "n + 16", "f": "i + 7", "c": "f + 6", "j": "c + 5", "e": 19}, "premises": {"e": 19}, "target": "u"}, "answer": {"steps": [["z", "q + 17", "q + 25"], ["q", "p + 11", "p + 36"], ["p", "w + 14", "w + 50"], ["w", "l + 14", "l + 64"], ["l", "e + 15", "e + 79"], ["e", 19, "98"]], "target_var_name": "u", "target_value": 98, "value_dict": {"e": 19}, "is_reverse": true}} | 20,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = c + 5; e = 19; i = n + 16; u = z + 8; z = q + 17; f = i + 7; c = f + 6; l = e + 15; p = w + 14; q = p + 11; n = b + 13; w = l + 14; b = e + 10. Given that e = 19, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 17 to u, which gives u = q + 25.\n2. Substitute q = p + 11 to u, which gives u = p + 36.\n3. Substitute p = w + 14 to u, which gives u = w + 50.\n4. Substitute w = l + 14 to u, which gives u = l + 64.\n5. Substitute l = e + 15 to u, which gives u = e + 79.\n6. Substitute e = 19 to u, which gives u = 98.\n\nThus, the final answer is u = \\boxed{98}.",
"index": 20185,
"question": "Suppose a collection of variables is related by the following definitions: j = c + 5; e = 19; i = n + 16; u = z + 8; z = q + 17; f = i + 7; c = f + 6; l = e + 15; p = w + 14; q = p + 11; n = b + 13; w = l + 14; b = e + 10. Given that e = 19, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 8", "g": "w + 5", "c": "g + 8", "j": "c + 3", "l": "j + 8", "a": "l + 14", "p": "b + 10", "z": "p + 4", "n": "z + 1", "x": "n + 13", "t": "x + 10", "e": "t + 5", "b": 14}, "premises": {"b": 14}, "target": "a"}, "answer": {"steps": [["l", "j + 8", "j + 22"], ["j", "c + 3", "c + 25"], ["c", "g + 8", "g + 33"], ["g", "w + 5", "w + 38"], ["w", "b + 8", "b + 46"], ["b", 14, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"b": 14}, "is_reverse": true}} | 20,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 14; l = j + 8; w = b + 8; z = p + 4; t = x + 10; x = n + 13; e = t + 5; g = w + 5; c = g + 8; p = b + 10; b = 14; n = z + 1; j = c + 3. If b = 14, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 8 to a, which gives a = j + 22.\n2. Substitute j = c + 3 to a, which gives a = c + 25.\n3. Substitute c = g + 8 to a, which gives a = g + 33.\n4. Substitute g = w + 5 to a, which gives a = w + 38.\n5. Substitute w = b + 8 to a, which gives a = b + 46.\n6. Substitute b = 14 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 20186,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 14; l = j + 8; w = b + 8; z = p + 4; t = x + 10; x = n + 13; e = t + 5; g = w + 5; c = g + 8; p = b + 10; b = 14; n = z + 1; j = c + 3. If b = 14, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 15", "l": "b + 20", "d": "l + 5", "w": "d + 9", "f": "w + 4", "o": "f + 3", "i": "a + 8", "c": "i + 8", "j": "c + 13", "y": "j + 11", "g": "y + 10", "x": "g + 6", "a": 15}, "premises": {"a": 15}, "target": "o"}, "answer": {"steps": [["f", "w + 4", "w + 7"], ["w", "d + 9", "d + 16"], ["d", "l + 5", "l + 21"], ["l", "b + 20", "b + 41"], ["b", "a + 15", "a + 56"], ["a", 15, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"a": 15}, "is_reverse": true}} | 20,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 10; w = d + 9; a = 15; f = w + 4; x = g + 6; y = j + 11; b = a + 15; o = f + 3; i = a + 8; l = b + 20; c = i + 8; j = c + 13; d = l + 5. If a = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 4 to o, which gives o = w + 7.\n2. Substitute w = d + 9 to o, which gives o = d + 16.\n3. Substitute d = l + 5 to o, which gives o = l + 21.\n4. Substitute l = b + 20 to o, which gives o = b + 41.\n5. Substitute b = a + 15 to o, which gives o = a + 56.\n6. Substitute a = 15 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 20187,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 10; w = d + 9; a = 15; f = w + 4; x = g + 6; y = j + 11; b = a + 15; o = f + 3; i = a + 8; l = b + 20; c = i + 8; j = c + 13; d = l + 5. If a = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 1", "g": "z + 1", "k": "g + 10", "n": "k + 20", "e": "n + 17", "m": "e + 19", "v": "t + 7", "r": "v + 15", "y": "r + 11", "j": "y + 16", "p": "j + 12", "u": "p + 12", "t": 17}, "premises": {"t": 17}, "target": "m"}, "answer": {"steps": [["e", "n + 17", "n + 36"], ["n", "k + 20", "k + 56"], ["k", "g + 10", "g + 66"], ["g", "z + 1", "z + 67"], ["z", "t + 1", "t + 68"], ["t", 17, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"t": 17}, "is_reverse": true}} | 20,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = y + 16; p = j + 12; u = p + 12; e = n + 17; z = t + 1; r = v + 15; t = 17; m = e + 19; n = k + 20; y = r + 11; v = t + 7; g = z + 1; k = g + 10. If t = 17, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 17 to m, which gives m = n + 36.\n2. Substitute n = k + 20 to m, which gives m = k + 56.\n3. Substitute k = g + 10 to m, which gives m = g + 66.\n4. Substitute g = z + 1 to m, which gives m = z + 67.\n5. Substitute z = t + 1 to m, which gives m = t + 68.\n6. Substitute t = 17 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 20188,
"question": "Consider a system of variables where each variable is defined as follows: j = y + 16; p = j + 12; u = p + 12; e = n + 17; z = t + 1; r = v + 15; t = 17; m = e + 19; n = k + 20; y = r + 11; v = t + 7; g = z + 1; k = g + 10. If t = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 14", "l": "e + 11", "k": "l + 19", "u": "k + 14", "q": "u + 5", "j": "q + 7", "d": "a + 10", "c": "d + 20", "t": "c + 20", "b": "t + 16", "z": "b + 13", "x": "z + 20", "a": 9}, "premises": {"a": 9}, "target": "j"}, "answer": {"steps": [["q", "u + 5", "u + 12"], ["u", "k + 14", "k + 26"], ["k", "l + 19", "l + 45"], ["l", "e + 11", "e + 56"], ["e", "a + 14", "a + 70"], ["a", 9, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"a": 9}, "is_reverse": true}} | 20,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 14; b = t + 16; c = d + 20; d = a + 10; t = c + 20; z = b + 13; e = a + 14; j = q + 7; l = e + 11; a = 9; k = l + 19; q = u + 5; x = z + 20. Given that a = 9, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 5 to j, which gives j = u + 12.\n2. Substitute u = k + 14 to j, which gives j = k + 26.\n3. Substitute k = l + 19 to j, which gives j = l + 45.\n4. Substitute l = e + 11 to j, which gives j = e + 56.\n5. Substitute e = a + 14 to j, which gives j = a + 70.\n6. Substitute a = 9 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 20189,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 14; b = t + 16; c = d + 20; d = a + 10; t = c + 20; z = b + 13; e = a + 14; j = q + 7; l = e + 11; a = 9; k = l + 19; q = u + 5; x = z + 20. Given that a = 9, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 1", "o": "u + 1", "d": "o + 7", "n": "d + 8", "l": "n + 16", "e": "l + 17", "a": "t + 10", "m": "a + 18", "b": "m + 3", "h": "b + 18", "v": "h + 6", "k": "v + 20", "t": 2}, "premises": {"t": 2}, "target": "e"}, "answer": {"steps": [["l", "n + 16", "n + 33"], ["n", "d + 8", "d + 41"], ["d", "o + 7", "o + 48"], ["o", "u + 1", "u + 49"], ["u", "t + 1", "t + 50"], ["t", 2, "52"]], "target_var_name": "e", "target_value": 52, "value_dict": {"t": 2}, "is_reverse": true}} | 20,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 6; u = t + 1; d = o + 7; h = b + 18; l = n + 16; a = t + 10; t = 2; n = d + 8; o = u + 1; e = l + 17; k = v + 20; b = m + 3; m = a + 18. If t = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 16 to e, which gives e = n + 33.\n2. Substitute n = d + 8 to e, which gives e = d + 41.\n3. Substitute d = o + 7 to e, which gives e = o + 48.\n4. Substitute o = u + 1 to e, which gives e = u + 49.\n5. Substitute u = t + 1 to e, which gives e = t + 50.\n6. Substitute t = 2 to e, which gives e = 52.\n\nThus, the final answer is e = \\boxed{52}.",
"index": 20190,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 6; u = t + 1; d = o + 7; h = b + 18; l = n + 16; a = t + 10; t = 2; n = d + 8; o = u + 1; e = l + 17; k = v + 20; b = m + 3; m = a + 18. If t = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 16", "b": "c + 8", "o": "b + 14", "v": "o + 14", "y": "v + 3", "m": "y + 19", "f": "x + 4", "e": "f + 1", "d": "e + 20", "i": "d + 3", "g": "i + 14", "j": "g + 9", "x": 3}, "premises": {"x": 3}, "target": "m"}, "answer": {"steps": [["y", "v + 3", "v + 22"], ["v", "o + 14", "o + 36"], ["o", "b + 14", "b + 50"], ["b", "c + 8", "c + 58"], ["c", "x + 16", "x + 74"], ["x", 3, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"x": 3}, "is_reverse": true}} | 20,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 3; d = e + 20; j = g + 9; c = x + 16; f = x + 4; b = c + 8; e = f + 1; v = o + 14; g = i + 14; m = y + 19; i = d + 3; y = v + 3; o = b + 14. If x = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 3 to m, which gives m = v + 22.\n2. Substitute v = o + 14 to m, which gives m = o + 36.\n3. Substitute o = b + 14 to m, which gives m = b + 50.\n4. Substitute b = c + 8 to m, which gives m = c + 58.\n5. Substitute c = x + 16 to m, which gives m = x + 74.\n6. Substitute x = 3 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 20191,
"question": "Consider a system of variables where each variable is defined as follows: x = 3; d = e + 20; j = g + 9; c = x + 16; f = x + 4; b = c + 8; e = f + 1; v = o + 14; g = i + 14; m = y + 19; i = d + 3; y = v + 3; o = b + 14. If x = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 7", "l": "x + 15", "v": "l + 2", "a": "v + 7", "y": "a + 9", "q": "y + 10", "j": "w + 17", "m": "j + 16", "o": "m + 1", "d": "o + 4", "z": "d + 19", "b": "z + 1", "w": 3}, "premises": {"w": 3}, "target": "q"}, "answer": {"steps": [["y", "a + 9", "a + 19"], ["a", "v + 7", "v + 26"], ["v", "l + 2", "l + 28"], ["l", "x + 15", "x + 43"], ["x", "w + 7", "w + 50"], ["w", 3, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"w": 3}, "is_reverse": true}} | 20,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 16; l = x + 15; x = w + 7; v = l + 2; w = 3; b = z + 1; o = m + 1; z = d + 19; d = o + 4; q = y + 10; y = a + 9; a = v + 7; j = w + 17. If w = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 9 to q, which gives q = a + 19.\n2. Substitute a = v + 7 to q, which gives q = v + 26.\n3. Substitute v = l + 2 to q, which gives q = l + 28.\n4. Substitute l = x + 15 to q, which gives q = x + 43.\n5. Substitute x = w + 7 to q, which gives q = w + 50.\n6. Substitute w = 3 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 20192,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 16; l = x + 15; x = w + 7; v = l + 2; w = 3; b = z + 1; o = m + 1; z = d + 19; d = o + 4; q = y + 10; y = a + 9; a = v + 7; j = w + 17. If w = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 5", "i": "a + 16", "o": "i + 13", "v": "o + 11", "z": "v + 17", "r": "z + 5", "n": "q + 14", "f": "n + 18", "g": "f + 1", "y": "g + 8", "b": "y + 12", "e": "b + 16", "q": 7}, "premises": {"q": 7}, "target": "r"}, "answer": {"steps": [["z", "v + 17", "v + 22"], ["v", "o + 11", "o + 33"], ["o", "i + 13", "i + 46"], ["i", "a + 16", "a + 62"], ["a", "q + 5", "q + 67"], ["q", 7, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"q": 7}, "is_reverse": true}} | 20,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 16; b = y + 12; y = g + 8; q = 7; z = v + 17; a = q + 5; o = i + 13; v = o + 11; f = n + 18; n = q + 14; i = a + 16; g = f + 1; r = z + 5. Given that q = 7, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 17 to r, which gives r = v + 22.\n2. Substitute v = o + 11 to r, which gives r = o + 33.\n3. Substitute o = i + 13 to r, which gives r = i + 46.\n4. Substitute i = a + 16 to r, which gives r = a + 62.\n5. Substitute a = q + 5 to r, which gives r = q + 67.\n6. Substitute q = 7 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 20193,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 16; b = y + 12; y = g + 8; q = 7; z = v + 17; a = q + 5; o = i + 13; v = o + 11; f = n + 18; n = q + 14; i = a + 16; g = f + 1; r = z + 5. Given that q = 7, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 10", "n": "w + 18", "s": "n + 14", "y": "s + 7", "d": "y + 13", "h": "d + 9", "a": "j + 11", "c": "a + 2", "i": "c + 9", "k": "i + 6", "m": "k + 7", "r": "m + 2", "j": 12}, "premises": {"j": 12}, "target": "h"}, "answer": {"steps": [["d", "y + 13", "y + 22"], ["y", "s + 7", "s + 29"], ["s", "n + 14", "n + 43"], ["n", "w + 18", "w + 61"], ["w", "j + 10", "j + 71"], ["j", 12, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"j": 12}, "is_reverse": true}} | 20,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 13; j = 12; i = c + 9; a = j + 11; m = k + 7; y = s + 7; s = n + 14; k = i + 6; w = j + 10; r = m + 2; h = d + 9; c = a + 2; n = w + 18. Given that j = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 13 to h, which gives h = y + 22.\n2. Substitute y = s + 7 to h, which gives h = s + 29.\n3. Substitute s = n + 14 to h, which gives h = n + 43.\n4. Substitute n = w + 18 to h, which gives h = w + 61.\n5. Substitute w = j + 10 to h, which gives h = j + 71.\n6. Substitute j = 12 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 20194,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 13; j = 12; i = c + 9; a = j + 11; m = k + 7; y = s + 7; s = n + 14; k = i + 6; w = j + 10; r = m + 2; h = d + 9; c = a + 2; n = w + 18. Given that j = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 9", "p": "k + 14", "o": "p + 16", "z": "o + 18", "r": "z + 19", "w": "r + 3", "m": "e + 16", "a": "m + 18", "v": "a + 11", "h": "v + 5", "l": "h + 7", "t": "l + 13", "e": 4}, "premises": {"e": 4}, "target": "w"}, "answer": {"steps": [["r", "z + 19", "z + 22"], ["z", "o + 18", "o + 40"], ["o", "p + 16", "p + 56"], ["p", "k + 14", "k + 70"], ["k", "e + 9", "e + 79"], ["e", 4, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"e": 4}, "is_reverse": true}} | 20,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 16; t = l + 13; z = o + 18; p = k + 14; a = m + 18; r = z + 19; h = v + 5; m = e + 16; l = h + 7; e = 4; w = r + 3; v = a + 11; k = e + 9. If e = 4, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 19 to w, which gives w = z + 22.\n2. Substitute z = o + 18 to w, which gives w = o + 40.\n3. Substitute o = p + 16 to w, which gives w = p + 56.\n4. Substitute p = k + 14 to w, which gives w = k + 70.\n5. Substitute k = e + 9 to w, which gives w = e + 79.\n6. Substitute e = 4 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 20195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 16; t = l + 13; z = o + 18; p = k + 14; a = m + 18; r = z + 19; h = v + 5; m = e + 16; l = h + 7; e = 4; w = r + 3; v = a + 11; k = e + 9. If e = 4, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 1", "f": "l + 13", "a": "f + 10", "e": "a + 17", "n": "e + 17", "v": "n + 11", "r": "z + 1", "u": "r + 12", "j": "u + 19", "y": "j + 10", "w": "y + 4", "d": "w + 20", "z": 1}, "premises": {"z": 1}, "target": "v"}, "answer": {"steps": [["n", "e + 17", "e + 28"], ["e", "a + 17", "a + 45"], ["a", "f + 10", "f + 55"], ["f", "l + 13", "l + 68"], ["l", "z + 1", "z + 69"], ["z", 1, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"z": 1}, "is_reverse": true}} | 20,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 13; a = f + 10; v = n + 11; j = u + 19; w = y + 4; z = 1; n = e + 17; d = w + 20; r = z + 1; y = j + 10; u = r + 12; e = a + 17; l = z + 1. If z = 1, what is the resulting 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 n = e + 17 to v, which gives v = e + 28.\n2. Substitute e = a + 17 to v, which gives v = a + 45.\n3. Substitute a = f + 10 to v, which gives v = f + 55.\n4. Substitute f = l + 13 to v, which gives v = l + 68.\n5. Substitute l = z + 1 to v, which gives v = z + 69.\n6. Substitute z = 1 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 20196,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 13; a = f + 10; v = n + 11; j = u + 19; w = y + 4; z = 1; n = e + 17; d = w + 20; r = z + 1; y = j + 10; u = r + 12; e = a + 17; l = z + 1. If z = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 19", "z": "x + 10", "m": "z + 12", "j": "m + 10", "r": "j + 19", "v": "r + 11", "d": "q + 20", "o": "d + 11", "c": "o + 3", "l": "c + 1", "g": "l + 3", "y": "g + 10", "q": 14}, "premises": {"q": 14}, "target": "v"}, "answer": {"steps": [["r", "j + 19", "j + 30"], ["j", "m + 10", "m + 40"], ["m", "z + 12", "z + 52"], ["z", "x + 10", "x + 62"], ["x", "q + 19", "q + 81"], ["q", 14, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"q": 14}, "is_reverse": true}} | 20,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 10; z = x + 10; v = r + 11; y = g + 10; m = z + 12; q = 14; r = j + 19; c = o + 3; g = l + 3; l = c + 1; o = d + 11; d = q + 20; x = q + 19. If q = 14, determine the 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 = j + 19 to v, which gives v = j + 30.\n2. Substitute j = m + 10 to v, which gives v = m + 40.\n3. Substitute m = z + 12 to v, which gives v = z + 52.\n4. Substitute z = x + 10 to v, which gives v = x + 62.\n5. Substitute x = q + 19 to v, which gives v = q + 81.\n6. Substitute q = 14 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 20197,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 10; z = x + 10; v = r + 11; y = g + 10; m = z + 12; q = 14; r = j + 19; c = o + 3; g = l + 3; l = c + 1; o = d + 11; d = q + 20; x = q + 19. If q = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 11", "x": "n + 19", "w": "x + 2", "v": "w + 19", "g": "v + 13", "f": "g + 14", "c": "o + 15", "a": "c + 19", "y": "a + 2", "z": "y + 5", "k": "z + 13", "j": "k + 2", "o": 17}, "premises": {"o": 17}, "target": "f"}, "answer": {"steps": [["g", "v + 13", "v + 27"], ["v", "w + 19", "w + 46"], ["w", "x + 2", "x + 48"], ["x", "n + 19", "n + 67"], ["n", "o + 11", "o + 78"], ["o", 17, "95"]], "target_var_name": "f", "target_value": 95, "value_dict": {"o": 17}, "is_reverse": true}} | 20,198 | 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 = o + 15; k = z + 13; v = w + 19; a = c + 19; f = g + 14; n = o + 11; g = v + 13; z = y + 5; o = 17; x = n + 19; w = x + 2; j = k + 2; y = a + 2. If o = 17, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 13 to f, which gives f = v + 27.\n2. Substitute v = w + 19 to f, which gives f = w + 46.\n3. Substitute w = x + 2 to f, which gives f = x + 48.\n4. Substitute x = n + 19 to f, which gives f = n + 67.\n5. Substitute n = o + 11 to f, which gives f = o + 78.\n6. Substitute o = 17 to f, which gives f = 95.\n\nThus, the final answer is f = \\boxed{95}.",
"index": 20198,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 15; k = z + 13; v = w + 19; a = c + 19; f = g + 14; n = o + 11; g = v + 13; z = y + 5; o = 17; x = n + 19; w = x + 2; j = k + 2; y = a + 2. If o = 17, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 12", "g": "o + 13", "i": "g + 13", "e": "i + 6", "b": "e + 11", "q": "b + 3", "y": "n + 4", "j": "y + 6", "v": "j + 3", "l": "v + 5", "c": "l + 7", "h": "c + 3", "n": 8}, "premises": {"n": 8}, "target": "q"}, "answer": {"steps": [["b", "e + 11", "e + 14"], ["e", "i + 6", "i + 20"], ["i", "g + 13", "g + 33"], ["g", "o + 13", "o + 46"], ["o", "n + 12", "n + 58"], ["n", 8, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"n": 8}, "is_reverse": true}} | 20,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 6; h = c + 3; c = l + 7; j = y + 6; q = b + 3; b = e + 11; o = n + 12; g = o + 13; n = 8; i = g + 13; l = v + 5; y = n + 4; v = j + 3. If n = 8, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 11 to q, which gives q = e + 14.\n2. Substitute e = i + 6 to q, which gives q = i + 20.\n3. Substitute i = g + 13 to q, which gives q = g + 33.\n4. Substitute g = o + 13 to q, which gives q = o + 46.\n5. Substitute o = n + 12 to q, which gives q = n + 58.\n6. Substitute n = 8 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 20199,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 6; h = c + 3; c = l + 7; j = y + 6; q = b + 3; b = e + 11; o = n + 12; g = o + 13; n = 8; i = g + 13; l = v + 5; y = n + 4; v = j + 3. If n = 8, determine the value of q.",
"split": "train"
} |
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