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": "u + 2", "g": "l + 7", "z": "g + 17", "b": "z + 18", "n": "b + 6", "a": "n + 7", "y": "u + 12", "m": "y + 8", "s": "m + 8", "i": "s + 17", "v": "i + 9", "t": "v + 1", "u": 16}, "premises": {"u": 16}, "target": "a"}, "answer": {"steps": [["n", "b + 6", "b + 13"], ["b", "z + 18", "z + 31"], ["z", "g + 17", "g + 48"], ["g", "l + 7", "l + 55"], ["l", "u + 2", "u + 57"], ["u", 16, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"u": 16}, "is_reverse": true}} | 5,600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = b + 6; g = l + 7; t = v + 1; z = g + 17; y = u + 12; i = s + 17; l = u + 2; s = m + 8; b = z + 18; a = n + 7; u = 16; v = i + 9; m = y + 8. If u = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 6 to a, which gives a = b + 13.\n2. Substitute b = z + 18 to a, which gives a = z + 31.\n3. Substitute z = g + 17 to a, which gives a = g + 48.\n4. Substitute g = l + 7 to a, which gives a = l + 55.\n5. Substitute l = u + 2 to a, which gives a = u + 57.\n6. Substitute u = 16 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 5600,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 6; g = l + 7; t = v + 1; z = g + 17; y = u + 12; i = s + 17; l = u + 2; s = m + 8; b = z + 18; a = n + 7; u = 16; v = i + 9; m = y + 8. If u = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 6", "f": "h + 5", "n": "f + 14", "b": "n + 2", "r": "b + 1", "l": "r + 15", "d": "q + 8", "o": "d + 20", "m": "o + 16", "s": "m + 14", "c": "s + 19", "u": "c + 16", "q": 11}, "premises": {"q": 11}, "target": "l"}, "answer": {"steps": [["r", "b + 1", "b + 16"], ["b", "n + 2", "n + 18"], ["n", "f + 14", "f + 32"], ["f", "h + 5", "h + 37"], ["h", "q + 6", "q + 43"], ["q", 11, "54"]], "target_var_name": "l", "target_value": 54, "value_dict": {"q": 11}, "is_reverse": true}} | 5,601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 11; n = f + 14; m = o + 16; h = q + 6; u = c + 16; o = d + 20; l = r + 15; d = q + 8; r = b + 1; b = n + 2; s = m + 14; f = h + 5; c = s + 19. If q = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 1 to l, which gives l = b + 16.\n2. Substitute b = n + 2 to l, which gives l = n + 18.\n3. Substitute n = f + 14 to l, which gives l = f + 32.\n4. Substitute f = h + 5 to l, which gives l = h + 37.\n5. Substitute h = q + 6 to l, which gives l = q + 43.\n6. Substitute q = 11 to l, which gives l = 54.\n\nThus, the final answer is l = \\boxed{54}.",
"index": 5601,
"question": "Consider a system of variables where each variable is defined as follows: q = 11; n = f + 14; m = o + 16; h = q + 6; u = c + 16; o = d + 20; l = r + 15; d = q + 8; r = b + 1; b = n + 2; s = m + 14; f = h + 5; c = s + 19. If q = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 14", "u": "c + 14", "p": "u + 6", "l": "p + 6", "j": "l + 8", "q": "j + 3", "t": "z + 2", "o": "t + 15", "y": "o + 7", "d": "y + 2", "g": "d + 2", "h": "g + 2", "z": 13}, "premises": {"z": 13}, "target": "q"}, "answer": {"steps": [["j", "l + 8", "l + 11"], ["l", "p + 6", "p + 17"], ["p", "u + 6", "u + 23"], ["u", "c + 14", "c + 37"], ["c", "z + 14", "z + 51"], ["z", 13, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"z": 13}, "is_reverse": true}} | 5,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 13; h = g + 2; q = j + 3; p = u + 6; o = t + 15; d = y + 2; c = z + 14; y = o + 7; j = l + 8; g = d + 2; u = c + 14; t = z + 2; l = p + 6. If z = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 8 to q, which gives q = l + 11.\n2. Substitute l = p + 6 to q, which gives q = p + 17.\n3. Substitute p = u + 6 to q, which gives q = u + 23.\n4. Substitute u = c + 14 to q, which gives q = c + 37.\n5. Substitute c = z + 14 to q, which gives q = z + 51.\n6. Substitute z = 13 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 5602,
"question": "Consider a system of variables where each variable is defined as follows: z = 13; h = g + 2; q = j + 3; p = u + 6; o = t + 15; d = y + 2; c = z + 14; y = o + 7; j = l + 8; g = d + 2; u = c + 14; t = z + 2; l = p + 6. If z = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 19", "x": "k + 13", "c": "x + 19", "l": "c + 12", "s": "l + 17", "f": "s + 20", "r": "b + 3", "z": "r + 9", "u": "z + 6", "w": "u + 5", "d": "w + 3", "m": "d + 16", "b": 6}, "premises": {"b": 6}, "target": "f"}, "answer": {"steps": [["s", "l + 17", "l + 37"], ["l", "c + 12", "c + 49"], ["c", "x + 19", "x + 68"], ["x", "k + 13", "k + 81"], ["k", "b + 19", "b + 100"], ["b", 6, "106"]], "target_var_name": "f", "target_value": 106, "value_dict": {"b": 6}, "is_reverse": true}} | 5,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 20; d = w + 3; m = d + 16; l = c + 12; r = b + 3; u = z + 6; z = r + 9; k = b + 19; b = 6; x = k + 13; s = l + 17; c = x + 19; w = u + 5. If b = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 17 to f, which gives f = l + 37.\n2. Substitute l = c + 12 to f, which gives f = c + 49.\n3. Substitute c = x + 19 to f, which gives f = x + 68.\n4. Substitute x = k + 13 to f, which gives f = k + 81.\n5. Substitute k = b + 19 to f, which gives f = b + 100.\n6. Substitute b = 6 to f, which gives f = 106.\n\nThus, the final answer is f = \\boxed{106}.",
"index": 5603,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 20; d = w + 3; m = d + 16; l = c + 12; r = b + 3; u = z + 6; z = r + 9; k = b + 19; b = 6; x = k + 13; s = l + 17; c = x + 19; w = u + 5. If b = 6, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 4", "a": "e + 15", "z": "a + 17", "t": "z + 4", "c": "t + 3", "b": "c + 19", "v": "q + 7", "n": "v + 9", "d": "n + 12", "p": "d + 20", "h": "p + 6", "i": "h + 9", "q": 10}, "premises": {"q": 10}, "target": "b"}, "answer": {"steps": [["c", "t + 3", "t + 22"], ["t", "z + 4", "z + 26"], ["z", "a + 17", "a + 43"], ["a", "e + 15", "e + 58"], ["e", "q + 4", "q + 62"], ["q", 10, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"q": 10}, "is_reverse": true}} | 5,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 10; v = q + 7; i = h + 9; n = v + 9; e = q + 4; d = n + 12; h = p + 6; t = z + 4; p = d + 20; c = t + 3; b = c + 19; a = e + 15; z = a + 17. Given that q = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 3 to b, which gives b = t + 22.\n2. Substitute t = z + 4 to b, which gives b = z + 26.\n3. Substitute z = a + 17 to b, which gives b = a + 43.\n4. Substitute a = e + 15 to b, which gives b = e + 58.\n5. Substitute e = q + 4 to b, which gives b = q + 62.\n6. Substitute q = 10 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 5604,
"question": "Suppose a collection of variables is related by the following definitions: q = 10; v = q + 7; i = h + 9; n = v + 9; e = q + 4; d = n + 12; h = p + 6; t = z + 4; p = d + 20; c = t + 3; b = c + 19; a = e + 15; z = a + 17. Given that q = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 20", "y": "r + 12", "c": "y + 16", "q": "c + 16", "p": "q + 9", "x": "p + 3", "e": "z + 17", "a": "e + 8", "i": "a + 17", "f": "i + 14", "b": "f + 13", "t": "b + 6", "z": 10}, "premises": {"z": 10}, "target": "x"}, "answer": {"steps": [["p", "q + 9", "q + 12"], ["q", "c + 16", "c + 28"], ["c", "y + 16", "y + 44"], ["y", "r + 12", "r + 56"], ["r", "z + 20", "z + 76"], ["z", 10, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"z": 10}, "is_reverse": true}} | 5,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 17; a = e + 8; f = i + 14; b = f + 13; i = a + 17; t = b + 6; p = q + 9; y = r + 12; r = z + 20; q = c + 16; z = 10; c = y + 16; x = p + 3. Given that z = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 9 to x, which gives x = q + 12.\n2. Substitute q = c + 16 to x, which gives x = c + 28.\n3. Substitute c = y + 16 to x, which gives x = y + 44.\n4. Substitute y = r + 12 to x, which gives x = r + 56.\n5. Substitute r = z + 20 to x, which gives x = z + 76.\n6. Substitute z = 10 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 5605,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 17; a = e + 8; f = i + 14; b = f + 13; i = a + 17; t = b + 6; p = q + 9; y = r + 12; r = z + 20; q = c + 16; z = 10; c = y + 16; x = p + 3. Given that z = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 5", "d": "m + 3", "a": "d + 13", "l": "a + 2", "y": "l + 17", "c": "y + 13", "w": "i + 20", "v": "w + 12", "o": "v + 11", "k": "o + 19", "f": "k + 19", "p": "f + 20", "i": 10}, "premises": {"i": 10}, "target": "c"}, "answer": {"steps": [["y", "l + 17", "l + 30"], ["l", "a + 2", "a + 32"], ["a", "d + 13", "d + 45"], ["d", "m + 3", "m + 48"], ["m", "i + 5", "i + 53"], ["i", 10, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"i": 10}, "is_reverse": true}} | 5,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = w + 12; a = d + 13; k = o + 19; i = 10; l = a + 2; w = i + 20; c = y + 13; m = i + 5; y = l + 17; d = m + 3; o = v + 11; f = k + 19; p = f + 20. If i = 10, determine 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 y = l + 17 to c, which gives c = l + 30.\n2. Substitute l = a + 2 to c, which gives c = a + 32.\n3. Substitute a = d + 13 to c, which gives c = d + 45.\n4. Substitute d = m + 3 to c, which gives c = m + 48.\n5. Substitute m = i + 5 to c, which gives c = i + 53.\n6. Substitute i = 10 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 5606,
"question": "Consider a system of variables where each variable is defined as follows: v = w + 12; a = d + 13; k = o + 19; i = 10; l = a + 2; w = i + 20; c = y + 13; m = i + 5; y = l + 17; d = m + 3; o = v + 11; f = k + 19; p = f + 20. If i = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 12", "r": "w + 6", "u": "r + 7", "d": "u + 7", "j": "d + 10", "s": "j + 4", "t": "q + 18", "p": "t + 12", "z": "p + 5", "e": "z + 14", "a": "e + 4", "i": "a + 14", "q": 9}, "premises": {"q": 9}, "target": "s"}, "answer": {"steps": [["j", "d + 10", "d + 14"], ["d", "u + 7", "u + 21"], ["u", "r + 7", "r + 28"], ["r", "w + 6", "w + 34"], ["w", "q + 12", "q + 46"], ["q", 9, "55"]], "target_var_name": "s", "target_value": 55, "value_dict": {"q": 9}, "is_reverse": true}} | 5,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 6; p = t + 12; j = d + 10; d = u + 7; w = q + 12; i = a + 14; u = r + 7; t = q + 18; e = z + 14; s = j + 4; z = p + 5; a = e + 4; q = 9. If q = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 10 to s, which gives s = d + 14.\n2. Substitute d = u + 7 to s, which gives s = u + 21.\n3. Substitute u = r + 7 to s, which gives s = r + 28.\n4. Substitute r = w + 6 to s, which gives s = w + 34.\n5. Substitute w = q + 12 to s, which gives s = q + 46.\n6. Substitute q = 9 to s, which gives s = 55.\n\nThus, the final answer is s = \\boxed{55}.",
"index": 5607,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 6; p = t + 12; j = d + 10; d = u + 7; w = q + 12; i = a + 14; u = r + 7; t = q + 18; e = z + 14; s = j + 4; z = p + 5; a = e + 4; q = 9. If q = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 7", "y": "c + 7", "u": "y + 9", "t": "u + 6", "v": "t + 15", "e": "v + 1", "z": "q + 11", "a": "z + 3", "l": "a + 8", "j": "l + 6", "k": "j + 18", "o": "k + 6", "q": 7}, "premises": {"q": 7}, "target": "e"}, "answer": {"steps": [["v", "t + 15", "t + 16"], ["t", "u + 6", "u + 22"], ["u", "y + 9", "y + 31"], ["y", "c + 7", "c + 38"], ["c", "q + 7", "q + 45"], ["q", 7, "52"]], "target_var_name": "e", "target_value": 52, "value_dict": {"q": 7}, "is_reverse": true}} | 5,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 11; k = j + 18; j = l + 6; y = c + 7; q = 7; u = y + 9; o = k + 6; e = v + 1; v = t + 15; l = a + 8; a = z + 3; t = u + 6; c = q + 7. Given that q = 7, find 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 v = t + 15 to e, which gives e = t + 16.\n2. Substitute t = u + 6 to e, which gives e = u + 22.\n3. Substitute u = y + 9 to e, which gives e = y + 31.\n4. Substitute y = c + 7 to e, which gives e = c + 38.\n5. Substitute c = q + 7 to e, which gives e = q + 45.\n6. Substitute q = 7 to e, which gives e = 52.\n\nThus, the final answer is e = \\boxed{52}.",
"index": 5608,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 11; k = j + 18; j = l + 6; y = c + 7; q = 7; u = y + 9; o = k + 6; e = v + 1; v = t + 15; l = a + 8; a = z + 3; t = u + 6; c = q + 7. Given that q = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 12", "t": "q + 2", "e": "t + 6", "h": "e + 13", "v": "h + 19", "r": "v + 8", "s": "i + 1", "p": "s + 12", "c": "p + 4", "a": "c + 6", "m": "a + 2", "z": "m + 1", "i": 20}, "premises": {"i": 20}, "target": "r"}, "answer": {"steps": [["v", "h + 19", "h + 27"], ["h", "e + 13", "e + 40"], ["e", "t + 6", "t + 46"], ["t", "q + 2", "q + 48"], ["q", "i + 12", "i + 60"], ["i", 20, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"i": 20}, "is_reverse": true}} | 5,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = c + 6; s = i + 1; v = h + 19; z = m + 1; e = t + 6; m = a + 2; r = v + 8; i = 20; c = p + 4; t = q + 2; p = s + 12; h = e + 13; q = i + 12. Given that i = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 19 to r, which gives r = h + 27.\n2. Substitute h = e + 13 to r, which gives r = e + 40.\n3. Substitute e = t + 6 to r, which gives r = t + 46.\n4. Substitute t = q + 2 to r, which gives r = q + 48.\n5. Substitute q = i + 12 to r, which gives r = i + 60.\n6. Substitute i = 20 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 5609,
"question": "Suppose a collection of variables is related by the following definitions: a = c + 6; s = i + 1; v = h + 19; z = m + 1; e = t + 6; m = a + 2; r = v + 8; i = 20; c = p + 4; t = q + 2; p = s + 12; h = e + 13; q = i + 12. Given that i = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 3", "m": "t + 6", "v": "m + 19", "s": "v + 20", "h": "s + 19", "n": "h + 2", "e": "u + 6", "i": "e + 7", "b": "i + 12", "f": "b + 6", "q": "f + 10", "x": "q + 4", "u": 16}, "premises": {"u": 16}, "target": "n"}, "answer": {"steps": [["h", "s + 19", "s + 21"], ["s", "v + 20", "v + 41"], ["v", "m + 19", "m + 60"], ["m", "t + 6", "t + 66"], ["t", "u + 3", "u + 69"], ["u", 16, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"u": 16}, "is_reverse": true}} | 5,610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 4; i = e + 7; b = i + 12; m = t + 6; f = b + 6; t = u + 3; q = f + 10; n = h + 2; u = 16; h = s + 19; v = m + 19; e = u + 6; s = v + 20. If u = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 19 to n, which gives n = s + 21.\n2. Substitute s = v + 20 to n, which gives n = v + 41.\n3. Substitute v = m + 19 to n, which gives n = m + 60.\n4. Substitute m = t + 6 to n, which gives n = t + 66.\n5. Substitute t = u + 3 to n, which gives n = u + 69.\n6. Substitute u = 16 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 5610,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 4; i = e + 7; b = i + 12; m = t + 6; f = b + 6; t = u + 3; q = f + 10; n = h + 2; u = 16; h = s + 19; v = m + 19; e = u + 6; s = v + 20. If u = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 12", "t": "e + 8", "q": "t + 19", "l": "q + 5", "b": "l + 11", "c": "b + 18", "s": "o + 15", "d": "s + 13", "x": "d + 15", "j": "x + 17", "m": "j + 1", "v": "m + 7", "o": 4}, "premises": {"o": 4}, "target": "c"}, "answer": {"steps": [["b", "l + 11", "l + 29"], ["l", "q + 5", "q + 34"], ["q", "t + 19", "t + 53"], ["t", "e + 8", "e + 61"], ["e", "o + 12", "o + 73"], ["o", 4, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"o": 4}, "is_reverse": true}} | 5,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 1; d = s + 13; v = m + 7; x = d + 15; t = e + 8; j = x + 17; l = q + 5; q = t + 19; b = l + 11; s = o + 15; e = o + 12; c = b + 18; o = 4. If o = 4, what is the resulting 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 b = l + 11 to c, which gives c = l + 29.\n2. Substitute l = q + 5 to c, which gives c = q + 34.\n3. Substitute q = t + 19 to c, which gives c = t + 53.\n4. Substitute t = e + 8 to c, which gives c = e + 61.\n5. Substitute e = o + 12 to c, which gives c = o + 73.\n6. Substitute o = 4 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 5611,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 1; d = s + 13; v = m + 7; x = d + 15; t = e + 8; j = x + 17; l = q + 5; q = t + 19; b = l + 11; s = o + 15; e = o + 12; c = b + 18; o = 4. If o = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 6", "m": "o + 14", "k": "m + 13", "b": "k + 11", "v": "b + 11", "t": "v + 13", "n": "x + 3", "f": "n + 6", "d": "f + 14", "c": "d + 8", "e": "c + 16", "y": "e + 17", "x": 20}, "premises": {"x": 20}, "target": "t"}, "answer": {"steps": [["v", "b + 11", "b + 24"], ["b", "k + 11", "k + 35"], ["k", "m + 13", "m + 48"], ["m", "o + 14", "o + 62"], ["o", "x + 6", "x + 68"], ["x", 20, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"x": 20}, "is_reverse": true}} | 5,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 11; f = n + 6; d = f + 14; t = v + 13; o = x + 6; k = m + 13; c = d + 8; e = c + 16; m = o + 14; n = x + 3; v = b + 11; x = 20; y = e + 17. If x = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 11 to t, which gives t = b + 24.\n2. Substitute b = k + 11 to t, which gives t = k + 35.\n3. Substitute k = m + 13 to t, which gives t = m + 48.\n4. Substitute m = o + 14 to t, which gives t = o + 62.\n5. Substitute o = x + 6 to t, which gives t = x + 68.\n6. Substitute x = 20 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 5612,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 11; f = n + 6; d = f + 14; t = v + 13; o = x + 6; k = m + 13; c = d + 8; e = c + 16; m = o + 14; n = x + 3; v = b + 11; x = 20; y = e + 17. If x = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 4", "g": "m + 19", "c": "g + 2", "a": "c + 7", "e": "a + 18", "y": "e + 6", "w": "n + 16", "x": "w + 17", "l": "x + 2", "z": "l + 15", "f": "z + 10", "o": "f + 4", "n": 18}, "premises": {"n": 18}, "target": "y"}, "answer": {"steps": [["e", "a + 18", "a + 24"], ["a", "c + 7", "c + 31"], ["c", "g + 2", "g + 33"], ["g", "m + 19", "m + 52"], ["m", "n + 4", "n + 56"], ["n", 18, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"n": 18}, "is_reverse": true}} | 5,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 19; n = 18; c = g + 2; m = n + 4; e = a + 18; o = f + 4; a = c + 7; w = n + 16; x = w + 17; z = l + 15; l = x + 2; f = z + 10; y = e + 6. If n = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 18 to y, which gives y = a + 24.\n2. Substitute a = c + 7 to y, which gives y = c + 31.\n3. Substitute c = g + 2 to y, which gives y = g + 33.\n4. Substitute g = m + 19 to y, which gives y = m + 52.\n5. Substitute m = n + 4 to y, which gives y = n + 56.\n6. Substitute n = 18 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 5613,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 19; n = 18; c = g + 2; m = n + 4; e = a + 18; o = f + 4; a = c + 7; w = n + 16; x = w + 17; z = l + 15; l = x + 2; f = z + 10; y = e + 6. If n = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 2", "t": "f + 7", "e": "t + 9", "r": "e + 12", "k": "r + 7", "w": "k + 10", "j": "m + 9", "x": "j + 6", "s": "x + 6", "g": "s + 1", "i": "g + 17", "p": "i + 16", "m": 7}, "premises": {"m": 7}, "target": "w"}, "answer": {"steps": [["k", "r + 7", "r + 17"], ["r", "e + 12", "e + 29"], ["e", "t + 9", "t + 38"], ["t", "f + 7", "f + 45"], ["f", "m + 2", "m + 47"], ["m", 7, "54"]], "target_var_name": "w", "target_value": 54, "value_dict": {"m": 7}, "is_reverse": true}} | 5,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 12; f = m + 2; i = g + 17; k = r + 7; m = 7; g = s + 1; p = i + 16; t = f + 7; s = x + 6; x = j + 6; w = k + 10; j = m + 9; e = t + 9. If m = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 7 to w, which gives w = r + 17.\n2. Substitute r = e + 12 to w, which gives w = e + 29.\n3. Substitute e = t + 9 to w, which gives w = t + 38.\n4. Substitute t = f + 7 to w, which gives w = f + 45.\n5. Substitute f = m + 2 to w, which gives w = m + 47.\n6. Substitute m = 7 to w, which gives w = 54.\n\nThus, the final answer is w = \\boxed{54}.",
"index": 5614,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 12; f = m + 2; i = g + 17; k = r + 7; m = 7; g = s + 1; p = i + 16; t = f + 7; s = x + 6; x = j + 6; w = k + 10; j = m + 9; e = t + 9. If m = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 13", "f": "y + 4", "o": "f + 5", "e": "o + 4", "h": "e + 11", "r": "h + 15", "z": "m + 19", "g": "z + 3", "x": "g + 2", "d": "x + 19", "p": "d + 3", "j": "p + 19", "m": 3}, "premises": {"m": 3}, "target": "r"}, "answer": {"steps": [["h", "e + 11", "e + 26"], ["e", "o + 4", "o + 30"], ["o", "f + 5", "f + 35"], ["f", "y + 4", "y + 39"], ["y", "m + 13", "m + 52"], ["m", 3, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"m": 3}, "is_reverse": true}} | 5,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 5; g = z + 3; m = 3; h = e + 11; p = d + 3; d = x + 19; e = o + 4; z = m + 19; j = p + 19; f = y + 4; y = m + 13; x = g + 2; r = h + 15. If m = 3, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 11 to r, which gives r = e + 26.\n2. Substitute e = o + 4 to r, which gives r = o + 30.\n3. Substitute o = f + 5 to r, which gives r = f + 35.\n4. Substitute f = y + 4 to r, which gives r = y + 39.\n5. Substitute y = m + 13 to r, which gives r = m + 52.\n6. Substitute m = 3 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 5615,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 5; g = z + 3; m = 3; h = e + 11; p = d + 3; d = x + 19; e = o + 4; z = m + 19; j = p + 19; f = y + 4; y = m + 13; x = g + 2; r = h + 15. If m = 3, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 1", "k": "h + 1", "s": "k + 11", "z": "s + 8", "i": "z + 20", "r": "i + 6", "w": "p + 2", "u": "w + 1", "m": "u + 18", "g": "m + 10", "y": "g + 2", "x": "y + 16", "p": 18}, "premises": {"p": 18}, "target": "r"}, "answer": {"steps": [["i", "z + 20", "z + 26"], ["z", "s + 8", "s + 34"], ["s", "k + 11", "k + 45"], ["k", "h + 1", "h + 46"], ["h", "p + 1", "p + 47"], ["p", 18, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"p": 18}, "is_reverse": true}} | 5,616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 16; m = u + 18; i = z + 20; h = p + 1; z = s + 8; g = m + 10; p = 18; w = p + 2; y = g + 2; s = k + 11; k = h + 1; r = i + 6; u = w + 1. If p = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 20 to r, which gives r = z + 26.\n2. Substitute z = s + 8 to r, which gives r = s + 34.\n3. Substitute s = k + 11 to r, which gives r = k + 45.\n4. Substitute k = h + 1 to r, which gives r = h + 46.\n5. Substitute h = p + 1 to r, which gives r = p + 47.\n6. Substitute p = 18 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 5616,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 16; m = u + 18; i = z + 20; h = p + 1; z = s + 8; g = m + 10; p = 18; w = p + 2; y = g + 2; s = k + 11; k = h + 1; r = i + 6; u = w + 1. If p = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 9", "n": "e + 7", "q": "n + 9", "b": "q + 10", "g": "b + 5", "k": "g + 10", "m": "j + 2", "z": "m + 2", "d": "z + 7", "t": "d + 2", "s": "t + 4", "l": "s + 18", "j": 14}, "premises": {"j": 14}, "target": "k"}, "answer": {"steps": [["g", "b + 5", "b + 15"], ["b", "q + 10", "q + 25"], ["q", "n + 9", "n + 34"], ["n", "e + 7", "e + 41"], ["e", "j + 9", "j + 50"], ["j", 14, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"j": 14}, "is_reverse": true}} | 5,617 | 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 + 9; t = d + 2; b = q + 10; n = e + 7; q = n + 9; m = j + 2; d = z + 7; k = g + 10; g = b + 5; j = 14; s = t + 4; l = s + 18; z = m + 2. If j = 14, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 5 to k, which gives k = b + 15.\n2. Substitute b = q + 10 to k, which gives k = q + 25.\n3. Substitute q = n + 9 to k, which gives k = n + 34.\n4. Substitute n = e + 7 to k, which gives k = e + 41.\n5. Substitute e = j + 9 to k, which gives k = j + 50.\n6. Substitute j = 14 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 5617,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 9; t = d + 2; b = q + 10; n = e + 7; q = n + 9; m = j + 2; d = z + 7; k = g + 10; g = b + 5; j = 14; s = t + 4; l = s + 18; z = m + 2. If j = 14, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 10", "r": "s + 11", "y": "r + 15", "u": "y + 5", "p": "u + 2", "i": "p + 15", "n": "t + 12", "j": "n + 11", "e": "j + 10", "o": "e + 18", "f": "o + 8", "l": "f + 12", "t": 12}, "premises": {"t": 12}, "target": "i"}, "answer": {"steps": [["p", "u + 2", "u + 17"], ["u", "y + 5", "y + 22"], ["y", "r + 15", "r + 37"], ["r", "s + 11", "s + 48"], ["s", "t + 10", "t + 58"], ["t", 12, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"t": 12}, "is_reverse": true}} | 5,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 12; i = p + 15; u = y + 5; y = r + 15; j = n + 11; r = s + 11; p = u + 2; e = j + 10; f = o + 8; t = 12; o = e + 18; l = f + 12; s = t + 10. If t = 12, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 2 to i, which gives i = u + 17.\n2. Substitute u = y + 5 to i, which gives i = y + 22.\n3. Substitute y = r + 15 to i, which gives i = r + 37.\n4. Substitute r = s + 11 to i, which gives i = s + 48.\n5. Substitute s = t + 10 to i, which gives i = t + 58.\n6. Substitute t = 12 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 5618,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 12; i = p + 15; u = y + 5; y = r + 15; j = n + 11; r = s + 11; p = u + 2; e = j + 10; f = o + 8; t = 12; o = e + 18; l = f + 12; s = t + 10. If t = 12, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 14", "m": "q + 8", "s": "m + 20", "t": "s + 4", "a": "t + 9", "b": "a + 4", "j": "p + 6", "e": "j + 12", "w": "e + 17", "l": "w + 17", "r": "l + 19", "c": "r + 1", "p": 11}, "premises": {"p": 11}, "target": "b"}, "answer": {"steps": [["a", "t + 9", "t + 13"], ["t", "s + 4", "s + 17"], ["s", "m + 20", "m + 37"], ["m", "q + 8", "q + 45"], ["q", "p + 14", "p + 59"], ["p", 11, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"p": 11}, "is_reverse": true}} | 5,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 4; e = j + 12; r = l + 19; w = e + 17; t = s + 4; m = q + 8; c = r + 1; a = t + 9; q = p + 14; p = 11; s = m + 20; l = w + 17; j = p + 6. If p = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 9 to b, which gives b = t + 13.\n2. Substitute t = s + 4 to b, which gives b = s + 17.\n3. Substitute s = m + 20 to b, which gives b = m + 37.\n4. Substitute m = q + 8 to b, which gives b = q + 45.\n5. Substitute q = p + 14 to b, which gives b = p + 59.\n6. Substitute p = 11 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 5619,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 4; e = j + 12; r = l + 19; w = e + 17; t = s + 4; m = q + 8; c = r + 1; a = t + 9; q = p + 14; p = 11; s = m + 20; l = w + 17; j = p + 6. If p = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 5", "m": "r + 11", "i": "m + 6", "c": "i + 19", "w": "c + 2", "v": "w + 5", "u": "f + 4", "k": "u + 3", "d": "k + 5", "h": "d + 4", "p": "h + 15", "a": "p + 10", "f": 17}, "premises": {"f": 17}, "target": "v"}, "answer": {"steps": [["w", "c + 2", "c + 7"], ["c", "i + 19", "i + 26"], ["i", "m + 6", "m + 32"], ["m", "r + 11", "r + 43"], ["r", "f + 5", "f + 48"], ["f", 17, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"f": 17}, "is_reverse": true}} | 5,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 5; c = i + 19; h = d + 4; p = h + 15; m = r + 11; u = f + 4; i = m + 6; k = u + 3; r = f + 5; a = p + 10; w = c + 2; f = 17; d = k + 5. Given that f = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 2 to v, which gives v = c + 7.\n2. Substitute c = i + 19 to v, which gives v = i + 26.\n3. Substitute i = m + 6 to v, which gives v = m + 32.\n4. Substitute m = r + 11 to v, which gives v = r + 43.\n5. Substitute r = f + 5 to v, which gives v = f + 48.\n6. Substitute f = 17 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 5620,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 5; c = i + 19; h = d + 4; p = h + 15; m = r + 11; u = f + 4; i = m + 6; k = u + 3; r = f + 5; a = p + 10; w = c + 2; f = 17; d = k + 5. Given that f = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 19", "v": "q + 10", "d": "v + 16", "a": "d + 2", "g": "a + 14", "l": "g + 19", "m": "e + 14", "h": "m + 1", "t": "h + 20", "x": "t + 15", "i": "x + 8", "u": "i + 10", "e": 15}, "premises": {"e": 15}, "target": "l"}, "answer": {"steps": [["g", "a + 14", "a + 33"], ["a", "d + 2", "d + 35"], ["d", "v + 16", "v + 51"], ["v", "q + 10", "q + 61"], ["q", "e + 19", "e + 80"], ["e", 15, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"e": 15}, "is_reverse": true}} | 5,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 14; d = v + 16; e = 15; a = d + 2; l = g + 19; t = h + 20; m = e + 14; h = m + 1; u = i + 10; v = q + 10; x = t + 15; q = e + 19; i = x + 8. Given that e = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 14 to l, which gives l = a + 33.\n2. Substitute a = d + 2 to l, which gives l = d + 35.\n3. Substitute d = v + 16 to l, which gives l = v + 51.\n4. Substitute v = q + 10 to l, which gives l = q + 61.\n5. Substitute q = e + 19 to l, which gives l = e + 80.\n6. Substitute e = 15 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 5621,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 14; d = v + 16; e = 15; a = d + 2; l = g + 19; t = h + 20; m = e + 14; h = m + 1; u = i + 10; v = q + 10; x = t + 15; q = e + 19; i = x + 8. Given that e = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 10", "z": "w + 8", "i": "z + 10", "o": "i + 11", "q": "o + 15", "b": "q + 1", "r": "f + 4", "e": "r + 4", "p": "e + 8", "k": "p + 14", "s": "k + 12", "d": "s + 13", "f": 11}, "premises": {"f": 11}, "target": "b"}, "answer": {"steps": [["q", "o + 15", "o + 16"], ["o", "i + 11", "i + 27"], ["i", "z + 10", "z + 37"], ["z", "w + 8", "w + 45"], ["w", "f + 10", "f + 55"], ["f", 11, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"f": 11}, "is_reverse": true}} | 5,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 4; p = e + 8; f = 11; w = f + 10; k = p + 14; i = z + 10; s = k + 12; d = s + 13; b = q + 1; r = f + 4; z = w + 8; o = i + 11; q = o + 15. If f = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 15 to b, which gives b = o + 16.\n2. Substitute o = i + 11 to b, which gives b = i + 27.\n3. Substitute i = z + 10 to b, which gives b = z + 37.\n4. Substitute z = w + 8 to b, which gives b = w + 45.\n5. Substitute w = f + 10 to b, which gives b = f + 55.\n6. Substitute f = 11 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 5622,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 4; p = e + 8; f = 11; w = f + 10; k = p + 14; i = z + 10; s = k + 12; d = s + 13; b = q + 1; r = f + 4; z = w + 8; o = i + 11; q = o + 15. If f = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 1", "h": "v + 18", "b": "h + 16", "d": "b + 8", "k": "d + 8", "q": "k + 19", "l": "f + 1", "c": "l + 9", "n": "c + 6", "s": "n + 2", "p": "s + 2", "m": "p + 8", "f": 1}, "premises": {"f": 1}, "target": "q"}, "answer": {"steps": [["k", "d + 8", "d + 27"], ["d", "b + 8", "b + 35"], ["b", "h + 16", "h + 51"], ["h", "v + 18", "v + 69"], ["v", "f + 1", "f + 70"], ["f", 1, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"f": 1}, "is_reverse": true}} | 5,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 8; c = l + 9; p = s + 2; n = c + 6; b = h + 16; v = f + 1; d = b + 8; s = n + 2; q = k + 19; m = p + 8; h = v + 18; l = f + 1; f = 1. If f = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 8 to q, which gives q = d + 27.\n2. Substitute d = b + 8 to q, which gives q = b + 35.\n3. Substitute b = h + 16 to q, which gives q = h + 51.\n4. Substitute h = v + 18 to q, which gives q = v + 69.\n5. Substitute v = f + 1 to q, which gives q = f + 70.\n6. Substitute f = 1 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 5623,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 8; c = l + 9; p = s + 2; n = c + 6; b = h + 16; v = f + 1; d = b + 8; s = n + 2; q = k + 19; m = p + 8; h = v + 18; l = f + 1; f = 1. If f = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 19", "p": "j + 5", "w": "p + 20", "k": "w + 9", "l": "k + 11", "s": "l + 1", "o": "q + 6", "y": "o + 6", "m": "y + 14", "n": "m + 20", "b": "n + 16", "t": "b + 17", "q": 19}, "premises": {"q": 19}, "target": "s"}, "answer": {"steps": [["l", "k + 11", "k + 12"], ["k", "w + 9", "w + 21"], ["w", "p + 20", "p + 41"], ["p", "j + 5", "j + 46"], ["j", "q + 19", "q + 65"], ["q", 19, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"q": 19}, "is_reverse": true}} | 5,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = j + 5; o = q + 6; t = b + 17; q = 19; s = l + 1; n = m + 20; m = y + 14; b = n + 16; w = p + 20; j = q + 19; k = w + 9; y = o + 6; l = k + 11. Given that q = 19, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 11 to s, which gives s = k + 12.\n2. Substitute k = w + 9 to s, which gives s = w + 21.\n3. Substitute w = p + 20 to s, which gives s = p + 41.\n4. Substitute p = j + 5 to s, which gives s = j + 46.\n5. Substitute j = q + 19 to s, which gives s = q + 65.\n6. Substitute q = 19 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 5624,
"question": "Suppose a collection of variables is related by the following definitions: p = j + 5; o = q + 6; t = b + 17; q = 19; s = l + 1; n = m + 20; m = y + 14; b = n + 16; w = p + 20; j = q + 19; k = w + 9; y = o + 6; l = k + 11. Given that q = 19, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 11", "y": "o + 16", "m": "y + 12", "v": "m + 8", "d": "v + 3", "x": "d + 6", "s": "j + 17", "i": "s + 6", "k": "i + 7", "h": "k + 9", "g": "h + 12", "f": "g + 14", "j": 10}, "premises": {"j": 10}, "target": "x"}, "answer": {"steps": [["d", "v + 3", "v + 9"], ["v", "m + 8", "m + 17"], ["m", "y + 12", "y + 29"], ["y", "o + 16", "o + 45"], ["o", "j + 11", "j + 56"], ["j", 10, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"j": 10}, "is_reverse": true}} | 5,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 14; h = k + 9; v = m + 8; o = j + 11; d = v + 3; y = o + 16; j = 10; s = j + 17; i = s + 6; m = y + 12; k = i + 7; x = d + 6; g = h + 12. If j = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 3 to x, which gives x = v + 9.\n2. Substitute v = m + 8 to x, which gives x = m + 17.\n3. Substitute m = y + 12 to x, which gives x = y + 29.\n4. Substitute y = o + 16 to x, which gives x = o + 45.\n5. Substitute o = j + 11 to x, which gives x = j + 56.\n6. Substitute j = 10 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 5625,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 14; h = k + 9; v = m + 8; o = j + 11; d = v + 3; y = o + 16; j = 10; s = j + 17; i = s + 6; m = y + 12; k = i + 7; x = d + 6; g = h + 12. If j = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 3", "s": "d + 12", "i": "s + 13", "e": "i + 5", "w": "e + 7", "l": "w + 10", "o": "z + 15", "m": "o + 2", "k": "m + 14", "c": "k + 16", "v": "c + 20", "f": "v + 5", "z": 14}, "premises": {"z": 14}, "target": "l"}, "answer": {"steps": [["w", "e + 7", "e + 17"], ["e", "i + 5", "i + 22"], ["i", "s + 13", "s + 35"], ["s", "d + 12", "d + 47"], ["d", "z + 3", "z + 50"], ["z", 14, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"z": 14}, "is_reverse": true}} | 5,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 16; l = w + 10; s = d + 12; e = i + 5; v = c + 20; i = s + 13; z = 14; o = z + 15; f = v + 5; k = m + 14; m = o + 2; d = z + 3; w = e + 7. If z = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 7 to l, which gives l = e + 17.\n2. Substitute e = i + 5 to l, which gives l = i + 22.\n3. Substitute i = s + 13 to l, which gives l = s + 35.\n4. Substitute s = d + 12 to l, which gives l = d + 47.\n5. Substitute d = z + 3 to l, which gives l = z + 50.\n6. Substitute z = 14 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 5626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 16; l = w + 10; s = d + 12; e = i + 5; v = c + 20; i = s + 13; z = 14; o = z + 15; f = v + 5; k = m + 14; m = o + 2; d = z + 3; w = e + 7. If z = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 17", "k": "x + 5", "i": "k + 16", "z": "i + 19", "t": "z + 18", "a": "t + 17", "c": "v + 18", "u": "c + 6", "w": "u + 10", "l": "w + 9", "d": "l + 6", "h": "d + 4", "v": 5}, "premises": {"v": 5}, "target": "a"}, "answer": {"steps": [["t", "z + 18", "z + 35"], ["z", "i + 19", "i + 54"], ["i", "k + 16", "k + 70"], ["k", "x + 5", "x + 75"], ["x", "v + 17", "v + 92"], ["v", 5, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"v": 5}, "is_reverse": true}} | 5,627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 17; w = u + 10; z = i + 19; c = v + 18; h = d + 4; i = k + 16; t = z + 18; u = c + 6; l = w + 9; d = l + 6; v = 5; a = t + 17; k = x + 5. Given that v = 5, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 18 to a, which gives a = z + 35.\n2. Substitute z = i + 19 to a, which gives a = i + 54.\n3. Substitute i = k + 16 to a, which gives a = k + 70.\n4. Substitute k = x + 5 to a, which gives a = x + 75.\n5. Substitute x = v + 17 to a, which gives a = v + 92.\n6. Substitute v = 5 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 5627,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 17; w = u + 10; z = i + 19; c = v + 18; h = d + 4; i = k + 16; t = z + 18; u = c + 6; l = w + 9; d = l + 6; v = 5; a = t + 17; k = x + 5. Given that v = 5, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 4", "l": "u + 16", "o": "l + 13", "z": "o + 3", "j": "z + 1", "f": "j + 18", "k": "t + 15", "a": "k + 6", "q": "a + 12", "c": "q + 4", "s": "c + 3", "d": "s + 15", "t": 3}, "premises": {"t": 3}, "target": "f"}, "answer": {"steps": [["j", "z + 1", "z + 19"], ["z", "o + 3", "o + 22"], ["o", "l + 13", "l + 35"], ["l", "u + 16", "u + 51"], ["u", "t + 4", "t + 55"], ["t", 3, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"t": 3}, "is_reverse": true}} | 5,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 12; z = o + 3; d = s + 15; a = k + 6; o = l + 13; f = j + 18; c = q + 4; t = 3; l = u + 16; k = t + 15; u = t + 4; j = z + 1; s = c + 3. If t = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 1 to f, which gives f = z + 19.\n2. Substitute z = o + 3 to f, which gives f = o + 22.\n3. Substitute o = l + 13 to f, which gives f = l + 35.\n4. Substitute l = u + 16 to f, which gives f = u + 51.\n5. Substitute u = t + 4 to f, which gives f = t + 55.\n6. Substitute t = 3 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 5628,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 12; z = o + 3; d = s + 15; a = k + 6; o = l + 13; f = j + 18; c = q + 4; t = 3; l = u + 16; k = t + 15; u = t + 4; j = z + 1; s = c + 3. If t = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 20", "v": "c + 7", "m": "v + 11", "o": "m + 8", "y": "o + 2", "g": "y + 15", "x": "f + 19", "b": "x + 8", "t": "b + 18", "e": "t + 20", "z": "e + 11", "w": "z + 8", "f": 3}, "premises": {"f": 3}, "target": "g"}, "answer": {"steps": [["y", "o + 2", "o + 17"], ["o", "m + 8", "m + 25"], ["m", "v + 11", "v + 36"], ["v", "c + 7", "c + 43"], ["c", "f + 20", "f + 63"], ["f", 3, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"f": 3}, "is_reverse": true}} | 5,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 8; v = c + 7; g = y + 15; e = t + 20; m = v + 11; f = 3; b = x + 8; x = f + 19; o = m + 8; z = e + 11; y = o + 2; c = f + 20; t = b + 18. If f = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 2 to g, which gives g = o + 17.\n2. Substitute o = m + 8 to g, which gives g = m + 25.\n3. Substitute m = v + 11 to g, which gives g = v + 36.\n4. Substitute v = c + 7 to g, which gives g = c + 43.\n5. Substitute c = f + 20 to g, which gives g = f + 63.\n6. Substitute f = 3 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 5629,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 8; v = c + 7; g = y + 15; e = t + 20; m = v + 11; f = 3; b = x + 8; x = f + 19; o = m + 8; z = e + 11; y = o + 2; c = f + 20; t = b + 18. If f = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 20", "i": "l + 8", "t": "i + 2", "g": "t + 5", "n": "g + 2", "s": "n + 13", "p": "m + 12", "f": "p + 20", "y": "f + 8", "z": "y + 12", "r": "z + 18", "j": "r + 18", "m": 15}, "premises": {"m": 15}, "target": "s"}, "answer": {"steps": [["n", "g + 2", "g + 15"], ["g", "t + 5", "t + 20"], ["t", "i + 2", "i + 22"], ["i", "l + 8", "l + 30"], ["l", "m + 20", "m + 50"], ["m", 15, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"m": 15}, "is_reverse": true}} | 5,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 12; r = z + 18; t = i + 2; j = r + 18; m = 15; y = f + 8; i = l + 8; g = t + 5; s = n + 13; l = m + 20; n = g + 2; f = p + 20; z = y + 12. If m = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 2 to s, which gives s = g + 15.\n2. Substitute g = t + 5 to s, which gives s = t + 20.\n3. Substitute t = i + 2 to s, which gives s = i + 22.\n4. Substitute i = l + 8 to s, which gives s = l + 30.\n5. Substitute l = m + 20 to s, which gives s = m + 50.\n6. Substitute m = 15 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 5630,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 12; r = z + 18; t = i + 2; j = r + 18; m = 15; y = f + 8; i = l + 8; g = t + 5; s = n + 13; l = m + 20; n = g + 2; f = p + 20; z = y + 12. If m = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 10", "t": "y + 16", "b": "t + 1", "s": "b + 11", "m": "s + 17", "q": "m + 10", "g": "k + 9", "n": "g + 10", "p": "n + 19", "w": "p + 7", "e": "w + 6", "x": "e + 10", "k": 9}, "premises": {"k": 9}, "target": "q"}, "answer": {"steps": [["m", "s + 17", "s + 27"], ["s", "b + 11", "b + 38"], ["b", "t + 1", "t + 39"], ["t", "y + 16", "y + 55"], ["y", "k + 10", "k + 65"], ["k", 9, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"k": 9}, "is_reverse": true}} | 5,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = s + 17; e = w + 6; s = b + 11; k = 9; x = e + 10; q = m + 10; b = t + 1; n = g + 10; t = y + 16; y = k + 10; w = p + 7; p = n + 19; g = k + 9. If k = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 17 to q, which gives q = s + 27.\n2. Substitute s = b + 11 to q, which gives q = b + 38.\n3. Substitute b = t + 1 to q, which gives q = t + 39.\n4. Substitute t = y + 16 to q, which gives q = y + 55.\n5. Substitute y = k + 10 to q, which gives q = k + 65.\n6. Substitute k = 9 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 5631,
"question": "Consider a system of variables where each variable is defined as follows: m = s + 17; e = w + 6; s = b + 11; k = 9; x = e + 10; q = m + 10; b = t + 1; n = g + 10; t = y + 16; y = k + 10; w = p + 7; p = n + 19; g = k + 9. If k = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 16", "d": "m + 10", "b": "d + 3", "f": "b + 4", "v": "f + 1", "g": "v + 11", "q": "u + 6", "t": "q + 19", "n": "t + 13", "w": "n + 18", "h": "w + 2", "j": "h + 12", "u": 13}, "premises": {"u": 13}, "target": "g"}, "answer": {"steps": [["v", "f + 1", "f + 12"], ["f", "b + 4", "b + 16"], ["b", "d + 3", "d + 19"], ["d", "m + 10", "m + 29"], ["m", "u + 16", "u + 45"], ["u", 13, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"u": 13}, "is_reverse": true}} | 5,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = q + 19; q = u + 6; f = b + 4; w = n + 18; v = f + 1; j = h + 12; h = w + 2; u = 13; b = d + 3; m = u + 16; g = v + 11; n = t + 13; d = m + 10. If u = 13, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 1 to g, which gives g = f + 12.\n2. Substitute f = b + 4 to g, which gives g = b + 16.\n3. Substitute b = d + 3 to g, which gives g = d + 19.\n4. Substitute d = m + 10 to g, which gives g = m + 29.\n5. Substitute m = u + 16 to g, which gives g = u + 45.\n6. Substitute u = 13 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 5632,
"question": "Consider a system of variables where each variable is defined as follows: t = q + 19; q = u + 6; f = b + 4; w = n + 18; v = f + 1; j = h + 12; h = w + 2; u = 13; b = d + 3; m = u + 16; g = v + 11; n = t + 13; d = m + 10. If u = 13, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 19", "g": "m + 6", "o": "g + 2", "f": "o + 17", "c": "f + 11", "t": "c + 15", "r": "z + 20", "q": "r + 18", "p": "q + 16", "l": "p + 10", "b": "l + 2", "x": "b + 2", "z": 4}, "premises": {"z": 4}, "target": "t"}, "answer": {"steps": [["c", "f + 11", "f + 26"], ["f", "o + 17", "o + 43"], ["o", "g + 2", "g + 45"], ["g", "m + 6", "m + 51"], ["m", "z + 19", "z + 70"], ["z", 4, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"z": 4}, "is_reverse": true}} | 5,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 18; g = m + 6; f = o + 17; p = q + 16; l = p + 10; o = g + 2; x = b + 2; m = z + 19; r = z + 20; z = 4; b = l + 2; c = f + 11; t = c + 15. If z = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 11 to t, which gives t = f + 26.\n2. Substitute f = o + 17 to t, which gives t = o + 43.\n3. Substitute o = g + 2 to t, which gives t = g + 45.\n4. Substitute g = m + 6 to t, which gives t = m + 51.\n5. Substitute m = z + 19 to t, which gives t = z + 70.\n6. Substitute z = 4 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 5633,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 18; g = m + 6; f = o + 17; p = q + 16; l = p + 10; o = g + 2; x = b + 2; m = z + 19; r = z + 20; z = 4; b = l + 2; c = f + 11; t = c + 15. If z = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 9", "j": "b + 7", "n": "j + 7", "t": "n + 1", "c": "t + 3", "u": "c + 9", "v": "i + 18", "o": "v + 7", "d": "o + 14", "w": "d + 15", "s": "w + 15", "r": "s + 9", "i": 16}, "premises": {"i": 16}, "target": "u"}, "answer": {"steps": [["c", "t + 3", "t + 12"], ["t", "n + 1", "n + 13"], ["n", "j + 7", "j + 20"], ["j", "b + 7", "b + 27"], ["b", "i + 9", "i + 36"], ["i", 16, "52"]], "target_var_name": "u", "target_value": 52, "value_dict": {"i": 16}, "is_reverse": true}} | 5,634 | 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 = d + 15; j = b + 7; s = w + 15; r = s + 9; b = i + 9; t = n + 1; d = o + 14; o = v + 7; n = j + 7; c = t + 3; u = c + 9; v = i + 18; i = 16. If i = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 3 to u, which gives u = t + 12.\n2. Substitute t = n + 1 to u, which gives u = n + 13.\n3. Substitute n = j + 7 to u, which gives u = j + 20.\n4. Substitute j = b + 7 to u, which gives u = b + 27.\n5. Substitute b = i + 9 to u, which gives u = i + 36.\n6. Substitute i = 16 to u, which gives u = 52.\n\nThus, the final answer is u = \\boxed{52}.",
"index": 5634,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 15; j = b + 7; s = w + 15; r = s + 9; b = i + 9; t = n + 1; d = o + 14; o = v + 7; n = j + 7; c = t + 3; u = c + 9; v = i + 18; i = 16. If i = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 10", "n": "a + 19", "y": "n + 4", "f": "y + 1", "d": "f + 19", "m": "d + 9", "v": "e + 4", "i": "v + 2", "w": "i + 16", "u": "w + 7", "x": "u + 1", "g": "x + 17", "e": 6}, "premises": {"e": 6}, "target": "m"}, "answer": {"steps": [["d", "f + 19", "f + 28"], ["f", "y + 1", "y + 29"], ["y", "n + 4", "n + 33"], ["n", "a + 19", "a + 52"], ["a", "e + 10", "e + 62"], ["e", 6, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"e": 6}, "is_reverse": true}} | 5,635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 7; v = e + 4; m = d + 9; f = y + 1; g = x + 17; n = a + 19; w = i + 16; e = 6; i = v + 2; y = n + 4; x = u + 1; d = f + 19; a = e + 10. If e = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 19 to m, which gives m = f + 28.\n2. Substitute f = y + 1 to m, which gives m = y + 29.\n3. Substitute y = n + 4 to m, which gives m = n + 33.\n4. Substitute n = a + 19 to m, which gives m = a + 52.\n5. Substitute a = e + 10 to m, which gives m = e + 62.\n6. Substitute e = 6 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 5635,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 7; v = e + 4; m = d + 9; f = y + 1; g = x + 17; n = a + 19; w = i + 16; e = 6; i = v + 2; y = n + 4; x = u + 1; d = f + 19; a = e + 10. If e = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 7", "f": "q + 18", "i": "f + 15", "k": "i + 2", "z": "k + 11", "n": "z + 10", "u": "a + 19", "v": "u + 20", "d": "v + 20", "y": "d + 15", "t": "y + 7", "h": "t + 2", "a": 3}, "premises": {"a": 3}, "target": "n"}, "answer": {"steps": [["z", "k + 11", "k + 21"], ["k", "i + 2", "i + 23"], ["i", "f + 15", "f + 38"], ["f", "q + 18", "q + 56"], ["q", "a + 7", "a + 63"], ["a", 3, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"a": 3}, "is_reverse": true}} | 5,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = u + 20; h = t + 2; k = i + 2; a = 3; d = v + 20; q = a + 7; n = z + 10; i = f + 15; t = y + 7; f = q + 18; u = a + 19; z = k + 11; y = d + 15. If a = 3, determine the 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 z = k + 11 to n, which gives n = k + 21.\n2. Substitute k = i + 2 to n, which gives n = i + 23.\n3. Substitute i = f + 15 to n, which gives n = f + 38.\n4. Substitute f = q + 18 to n, which gives n = q + 56.\n5. Substitute q = a + 7 to n, which gives n = a + 63.\n6. Substitute a = 3 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 5636,
"question": "Consider a system of variables where each variable is defined as follows: v = u + 20; h = t + 2; k = i + 2; a = 3; d = v + 20; q = a + 7; n = z + 10; i = f + 15; t = y + 7; f = q + 18; u = a + 19; z = k + 11; y = d + 15. If a = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 12", "x": "e + 8", "d": "x + 1", "n": "d + 4", "l": "n + 11", "j": "l + 18", "t": "i + 7", "q": "t + 18", "z": "q + 6", "s": "z + 17", "w": "s + 15", "o": "w + 15", "i": 7}, "premises": {"i": 7}, "target": "j"}, "answer": {"steps": [["l", "n + 11", "n + 29"], ["n", "d + 4", "d + 33"], ["d", "x + 1", "x + 34"], ["x", "e + 8", "e + 42"], ["e", "i + 12", "i + 54"], ["i", 7, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"i": 7}, "is_reverse": true}} | 5,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 12; o = w + 15; x = e + 8; s = z + 17; n = d + 4; j = l + 18; t = i + 7; l = n + 11; w = s + 15; z = q + 6; q = t + 18; d = x + 1; i = 7. If i = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 11 to j, which gives j = n + 29.\n2. Substitute n = d + 4 to j, which gives j = d + 33.\n3. Substitute d = x + 1 to j, which gives j = x + 34.\n4. Substitute x = e + 8 to j, which gives j = e + 42.\n5. Substitute e = i + 12 to j, which gives j = i + 54.\n6. Substitute i = 7 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 5637,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 12; o = w + 15; x = e + 8; s = z + 17; n = d + 4; j = l + 18; t = i + 7; l = n + 11; w = s + 15; z = q + 6; q = t + 18; d = x + 1; i = 7. If i = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 16", "l": "t + 16", "a": "l + 5", "c": "a + 18", "d": "c + 13", "r": "d + 14", "m": "u + 19", "i": "m + 18", "j": "i + 18", "y": "j + 20", "k": "y + 11", "e": "k + 4", "u": 17}, "premises": {"u": 17}, "target": "r"}, "answer": {"steps": [["d", "c + 13", "c + 27"], ["c", "a + 18", "a + 45"], ["a", "l + 5", "l + 50"], ["l", "t + 16", "t + 66"], ["t", "u + 16", "u + 82"], ["u", 17, "99"]], "target_var_name": "r", "target_value": 99, "value_dict": {"u": 17}, "is_reverse": true}} | 5,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 16; j = i + 18; c = a + 18; e = k + 4; r = d + 14; u = 17; a = l + 5; m = u + 19; d = c + 13; t = u + 16; y = j + 20; i = m + 18; k = y + 11. If u = 17, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 13 to r, which gives r = c + 27.\n2. Substitute c = a + 18 to r, which gives r = a + 45.\n3. Substitute a = l + 5 to r, which gives r = l + 50.\n4. Substitute l = t + 16 to r, which gives r = t + 66.\n5. Substitute t = u + 16 to r, which gives r = u + 82.\n6. Substitute u = 17 to r, which gives r = 99.\n\nThus, the final answer is r = \\boxed{99}.",
"index": 5638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 16; j = i + 18; c = a + 18; e = k + 4; r = d + 14; u = 17; a = l + 5; m = u + 19; d = c + 13; t = u + 16; y = j + 20; i = m + 18; k = y + 11. If u = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 13", "r": "t + 4", "b": "r + 14", "l": "b + 17", "z": "l + 9", "n": "z + 16", "f": "i + 5", "j": "f + 14", "d": "j + 3", "x": "d + 11", "m": "x + 7", "y": "m + 17", "i": 14}, "premises": {"i": 14}, "target": "n"}, "answer": {"steps": [["z", "l + 9", "l + 25"], ["l", "b + 17", "b + 42"], ["b", "r + 14", "r + 56"], ["r", "t + 4", "t + 60"], ["t", "i + 13", "i + 73"], ["i", 14, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"i": 14}, "is_reverse": true}} | 5,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 5; i = 14; z = l + 9; b = r + 14; r = t + 4; n = z + 16; t = i + 13; m = x + 7; d = j + 3; j = f + 14; x = d + 11; y = m + 17; l = b + 17. Given that i = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 9 to n, which gives n = l + 25.\n2. Substitute l = b + 17 to n, which gives n = b + 42.\n3. Substitute b = r + 14 to n, which gives n = r + 56.\n4. Substitute r = t + 4 to n, which gives n = t + 60.\n5. Substitute t = i + 13 to n, which gives n = i + 73.\n6. Substitute i = 14 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 5639,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 5; i = 14; z = l + 9; b = r + 14; r = t + 4; n = z + 16; t = i + 13; m = x + 7; d = j + 3; j = f + 14; x = d + 11; y = m + 17; l = b + 17. Given that i = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 17", "b": "h + 1", "y": "b + 1", "g": "y + 6", "x": "g + 14", "t": "x + 2", "n": "m + 14", "j": "n + 12", "s": "j + 1", "o": "s + 12", "z": "o + 20", "w": "z + 3", "m": 6}, "premises": {"m": 6}, "target": "t"}, "answer": {"steps": [["x", "g + 14", "g + 16"], ["g", "y + 6", "y + 22"], ["y", "b + 1", "b + 23"], ["b", "h + 1", "h + 24"], ["h", "m + 17", "m + 41"], ["m", 6, "47"]], "target_var_name": "t", "target_value": 47, "value_dict": {"m": 6}, "is_reverse": true}} | 5,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 20; h = m + 17; o = s + 12; w = z + 3; n = m + 14; t = x + 2; b = h + 1; m = 6; g = y + 6; s = j + 1; y = b + 1; x = g + 14; j = n + 12. Given that m = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 14 to t, which gives t = g + 16.\n2. Substitute g = y + 6 to t, which gives t = y + 22.\n3. Substitute y = b + 1 to t, which gives t = b + 23.\n4. Substitute b = h + 1 to t, which gives t = h + 24.\n5. Substitute h = m + 17 to t, which gives t = m + 41.\n6. Substitute m = 6 to t, which gives t = 47.\n\nThus, the final answer is t = \\boxed{47}.",
"index": 5640,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 20; h = m + 17; o = s + 12; w = z + 3; n = m + 14; t = x + 2; b = h + 1; m = 6; g = y + 6; s = j + 1; y = b + 1; x = g + 14; j = n + 12. Given that m = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 1", "b": "o + 9", "f": "b + 14", "a": "f + 12", "g": "a + 20", "v": "g + 18", "y": "m + 19", "c": "y + 11", "h": "c + 1", "p": "h + 19", "q": "p + 8", "l": "q + 8", "m": 14}, "premises": {"m": 14}, "target": "v"}, "answer": {"steps": [["g", "a + 20", "a + 38"], ["a", "f + 12", "f + 50"], ["f", "b + 14", "b + 64"], ["b", "o + 9", "o + 73"], ["o", "m + 1", "m + 74"], ["m", 14, "88"]], "target_var_name": "v", "target_value": 88, "value_dict": {"m": 14}, "is_reverse": true}} | 5,641 | 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 = b + 14; b = o + 9; p = h + 19; l = q + 8; g = a + 20; o = m + 1; y = m + 19; m = 14; q = p + 8; v = g + 18; h = c + 1; c = y + 11; a = f + 12. If m = 14, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 20 to v, which gives v = a + 38.\n2. Substitute a = f + 12 to v, which gives v = f + 50.\n3. Substitute f = b + 14 to v, which gives v = b + 64.\n4. Substitute b = o + 9 to v, which gives v = o + 73.\n5. Substitute o = m + 1 to v, which gives v = m + 74.\n6. Substitute m = 14 to v, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 5641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 14; b = o + 9; p = h + 19; l = q + 8; g = a + 20; o = m + 1; y = m + 19; m = 14; q = p + 8; v = g + 18; h = c + 1; c = y + 11; a = f + 12. If m = 14, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 5", "b": "a + 15", "n": "b + 13", "k": "n + 6", "u": "k + 13", "v": "u + 8", "p": "m + 5", "x": "p + 14", "f": "x + 9", "w": "f + 4", "q": "w + 11", "i": "q + 14", "m": 19}, "premises": {"m": 19}, "target": "v"}, "answer": {"steps": [["u", "k + 13", "k + 21"], ["k", "n + 6", "n + 27"], ["n", "b + 13", "b + 40"], ["b", "a + 15", "a + 55"], ["a", "m + 5", "m + 60"], ["m", 19, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"m": 19}, "is_reverse": true}} | 5,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 14; a = m + 5; b = a + 15; u = k + 13; n = b + 13; f = x + 9; p = m + 5; i = q + 14; w = f + 4; v = u + 8; k = n + 6; q = w + 11; m = 19. If m = 19, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 13 to v, which gives v = k + 21.\n2. Substitute k = n + 6 to v, which gives v = n + 27.\n3. Substitute n = b + 13 to v, which gives v = b + 40.\n4. Substitute b = a + 15 to v, which gives v = a + 55.\n5. Substitute a = m + 5 to v, which gives v = m + 60.\n6. Substitute m = 19 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 5642,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 14; a = m + 5; b = a + 15; u = k + 13; n = b + 13; f = x + 9; p = m + 5; i = q + 14; w = f + 4; v = u + 8; k = n + 6; q = w + 11; m = 19. If m = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 15", "t": "x + 17", "s": "t + 10", "l": "s + 12", "h": "l + 1", "a": "h + 16", "r": "c + 19", "q": "r + 17", "v": "q + 5", "w": "v + 4", "g": "w + 18", "o": "g + 12", "c": 3}, "premises": {"c": 3}, "target": "a"}, "answer": {"steps": [["h", "l + 1", "l + 17"], ["l", "s + 12", "s + 29"], ["s", "t + 10", "t + 39"], ["t", "x + 17", "x + 56"], ["x", "c + 15", "c + 71"], ["c", 3, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"c": 3}, "is_reverse": true}} | 5,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = v + 4; c = 3; s = t + 10; v = q + 5; x = c + 15; g = w + 18; a = h + 16; t = x + 17; r = c + 19; l = s + 12; h = l + 1; o = g + 12; q = r + 17. Given that c = 3, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 1 to a, which gives a = l + 17.\n2. Substitute l = s + 12 to a, which gives a = s + 29.\n3. Substitute s = t + 10 to a, which gives a = t + 39.\n4. Substitute t = x + 17 to a, which gives a = x + 56.\n5. Substitute x = c + 15 to a, which gives a = c + 71.\n6. Substitute c = 3 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 5643,
"question": "Suppose a collection of variables is related by the following definitions: w = v + 4; c = 3; s = t + 10; v = q + 5; x = c + 15; g = w + 18; a = h + 16; t = x + 17; r = c + 19; l = s + 12; h = l + 1; o = g + 12; q = r + 17. Given that c = 3, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 11", "v": "f + 14", "d": "v + 11", "s": "d + 4", "b": "s + 8", "z": "b + 3", "x": "k + 5", "q": "x + 8", "o": "q + 11", "g": "o + 15", "p": "g + 13", "e": "p + 19", "k": 8}, "premises": {"k": 8}, "target": "z"}, "answer": {"steps": [["b", "s + 8", "s + 11"], ["s", "d + 4", "d + 15"], ["d", "v + 11", "v + 26"], ["v", "f + 14", "f + 40"], ["f", "k + 11", "k + 51"], ["k", 8, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"k": 8}, "is_reverse": true}} | 5,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 8; f = k + 11; x = k + 5; o = q + 11; g = o + 15; p = g + 13; b = s + 8; v = f + 14; s = d + 4; q = x + 8; z = b + 3; e = p + 19; d = v + 11. If k = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 8 to z, which gives z = s + 11.\n2. Substitute s = d + 4 to z, which gives z = d + 15.\n3. Substitute d = v + 11 to z, which gives z = v + 26.\n4. Substitute v = f + 14 to z, which gives z = f + 40.\n5. Substitute f = k + 11 to z, which gives z = k + 51.\n6. Substitute k = 8 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 5644,
"question": "Consider a system of variables where each variable is defined as follows: k = 8; f = k + 11; x = k + 5; o = q + 11; g = o + 15; p = g + 13; b = s + 8; v = f + 14; s = d + 4; q = x + 8; z = b + 3; e = p + 19; d = v + 11. If k = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 1", "z": "b + 6", "c": "z + 9", "e": "c + 19", "r": "e + 2", "w": "r + 10", "x": "p + 4", "y": "x + 6", "j": "y + 15", "a": "j + 12", "s": "a + 6", "t": "s + 17", "p": 5}, "premises": {"p": 5}, "target": "w"}, "answer": {"steps": [["r", "e + 2", "e + 12"], ["e", "c + 19", "c + 31"], ["c", "z + 9", "z + 40"], ["z", "b + 6", "b + 46"], ["b", "p + 1", "p + 47"], ["p", 5, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"p": 5}, "is_reverse": true}} | 5,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 6; b = p + 1; z = b + 6; p = 5; e = c + 19; w = r + 10; a = j + 12; c = z + 9; j = y + 15; t = s + 17; x = p + 4; y = x + 6; r = e + 2. If p = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 2 to w, which gives w = e + 12.\n2. Substitute e = c + 19 to w, which gives w = c + 31.\n3. Substitute c = z + 9 to w, which gives w = z + 40.\n4. Substitute z = b + 6 to w, which gives w = b + 46.\n5. Substitute b = p + 1 to w, which gives w = p + 47.\n6. Substitute p = 5 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 5645,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 6; b = p + 1; z = b + 6; p = 5; e = c + 19; w = r + 10; a = j + 12; c = z + 9; j = y + 15; t = s + 17; x = p + 4; y = x + 6; r = e + 2. If p = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 14", "j": "g + 11", "w": "j + 9", "f": "w + 14", "c": "f + 18", "q": "c + 6", "r": "d + 16", "h": "r + 8", "e": "h + 15", "l": "e + 11", "i": "l + 18", "m": "i + 2", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["c", "f + 18", "f + 24"], ["f", "w + 14", "w + 38"], ["w", "j + 9", "j + 47"], ["j", "g + 11", "g + 58"], ["g", "d + 14", "d + 72"], ["d", 9, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"d": 9}, "is_reverse": true}} | 5,646 | 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 = r + 8; d = 9; i = l + 18; r = d + 16; j = g + 11; l = e + 11; m = i + 2; g = d + 14; f = w + 14; c = f + 18; w = j + 9; e = h + 15; q = c + 6. If d = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 18 to q, which gives q = f + 24.\n2. Substitute f = w + 14 to q, which gives q = w + 38.\n3. Substitute w = j + 9 to q, which gives q = j + 47.\n4. Substitute j = g + 11 to q, which gives q = g + 58.\n5. Substitute g = d + 14 to q, which gives q = d + 72.\n6. Substitute d = 9 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 5646,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = r + 8; d = 9; i = l + 18; r = d + 16; j = g + 11; l = e + 11; m = i + 2; g = d + 14; f = w + 14; c = f + 18; w = j + 9; e = h + 15; q = c + 6. If d = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 9", "f": "b + 17", "e": "f + 20", "i": "e + 8", "a": "i + 4", "m": "a + 7", "k": "r + 2", "u": "k + 5", "p": "u + 9", "j": "p + 5", "s": "j + 10", "q": "s + 3", "r": 18}, "premises": {"r": 18}, "target": "m"}, "answer": {"steps": [["a", "i + 4", "i + 11"], ["i", "e + 8", "e + 19"], ["e", "f + 20", "f + 39"], ["f", "b + 17", "b + 56"], ["b", "r + 9", "r + 65"], ["r", 18, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"r": 18}, "is_reverse": true}} | 5,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 5; i = e + 8; m = a + 7; r = 18; u = k + 5; f = b + 17; k = r + 2; e = f + 20; p = u + 9; a = i + 4; s = j + 10; b = r + 9; q = s + 3. If r = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 4 to m, which gives m = i + 11.\n2. Substitute i = e + 8 to m, which gives m = e + 19.\n3. Substitute e = f + 20 to m, which gives m = f + 39.\n4. Substitute f = b + 17 to m, which gives m = b + 56.\n5. Substitute b = r + 9 to m, which gives m = r + 65.\n6. Substitute r = 18 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 5647,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 5; i = e + 8; m = a + 7; r = 18; u = k + 5; f = b + 17; k = r + 2; e = f + 20; p = u + 9; a = i + 4; s = j + 10; b = r + 9; q = s + 3. If r = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 6", "s": "m + 2", "p": "s + 10", "z": "p + 10", "g": "z + 5", "j": "g + 13", "i": "k + 15", "e": "i + 6", "x": "e + 19", "l": "x + 6", "c": "l + 19", "w": "c + 10", "k": 18}, "premises": {"k": 18}, "target": "j"}, "answer": {"steps": [["g", "z + 5", "z + 18"], ["z", "p + 10", "p + 28"], ["p", "s + 10", "s + 38"], ["s", "m + 2", "m + 40"], ["m", "k + 6", "k + 46"], ["k", 18, "64"]], "target_var_name": "j", "target_value": 64, "value_dict": {"k": 18}, "is_reverse": true}} | 5,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 6; e = i + 6; s = m + 2; w = c + 10; j = g + 13; k = 18; z = p + 10; c = l + 19; g = z + 5; i = k + 15; x = e + 19; l = x + 6; p = s + 10. If k = 18, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 5 to j, which gives j = z + 18.\n2. Substitute z = p + 10 to j, which gives j = p + 28.\n3. Substitute p = s + 10 to j, which gives j = s + 38.\n4. Substitute s = m + 2 to j, which gives j = m + 40.\n5. Substitute m = k + 6 to j, which gives j = k + 46.\n6. Substitute k = 18 to j, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 5648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 6; e = i + 6; s = m + 2; w = c + 10; j = g + 13; k = 18; z = p + 10; c = l + 19; g = z + 5; i = k + 15; x = e + 19; l = x + 6; p = s + 10. If k = 18, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 3", "d": "f + 5", "s": "d + 20", "i": "s + 2", "z": "i + 8", "l": "z + 9", "t": "q + 11", "v": "t + 17", "c": "v + 19", "k": "c + 2", "h": "k + 4", "w": "h + 6", "q": 6}, "premises": {"q": 6}, "target": "l"}, "answer": {"steps": [["z", "i + 8", "i + 17"], ["i", "s + 2", "s + 19"], ["s", "d + 20", "d + 39"], ["d", "f + 5", "f + 44"], ["f", "q + 3", "q + 47"], ["q", 6, "53"]], "target_var_name": "l", "target_value": 53, "value_dict": {"q": 6}, "is_reverse": true}} | 5,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 6; s = d + 20; v = t + 17; q = 6; c = v + 19; k = c + 2; i = s + 2; l = z + 9; f = q + 3; t = q + 11; z = i + 8; h = k + 4; d = f + 5. If q = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 8 to l, which gives l = i + 17.\n2. Substitute i = s + 2 to l, which gives l = s + 19.\n3. Substitute s = d + 20 to l, which gives l = d + 39.\n4. Substitute d = f + 5 to l, which gives l = f + 44.\n5. Substitute f = q + 3 to l, which gives l = q + 47.\n6. Substitute q = 6 to l, which gives l = 53.\n\nThus, the final answer is l = \\boxed{53}.",
"index": 5649,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 6; s = d + 20; v = t + 17; q = 6; c = v + 19; k = c + 2; i = s + 2; l = z + 9; f = q + 3; t = q + 11; z = i + 8; h = k + 4; d = f + 5. If q = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 8", "e": "y + 16", "w": "e + 15", "c": "w + 16", "b": "c + 2", "h": "b + 4", "r": "j + 12", "x": "r + 11", "q": "x + 15", "s": "q + 3", "o": "s + 9", "l": "o + 5", "j": 20}, "premises": {"j": 20}, "target": "h"}, "answer": {"steps": [["b", "c + 2", "c + 6"], ["c", "w + 16", "w + 22"], ["w", "e + 15", "e + 37"], ["e", "y + 16", "y + 53"], ["y", "j + 8", "j + 61"], ["j", 20, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"j": 20}, "is_reverse": true}} | 5,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 8; s = q + 3; h = b + 4; b = c + 2; o = s + 9; x = r + 11; r = j + 12; c = w + 16; e = y + 16; j = 20; l = o + 5; q = x + 15; w = e + 15. Given that j = 20, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 2 to h, which gives h = c + 6.\n2. Substitute c = w + 16 to h, which gives h = w + 22.\n3. Substitute w = e + 15 to h, which gives h = e + 37.\n4. Substitute e = y + 16 to h, which gives h = y + 53.\n5. Substitute y = j + 8 to h, which gives h = j + 61.\n6. Substitute j = 20 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 5650,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 8; s = q + 3; h = b + 4; b = c + 2; o = s + 9; x = r + 11; r = j + 12; c = w + 16; e = y + 16; j = 20; l = o + 5; q = x + 15; w = e + 15. Given that j = 20, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 4", "x": "j + 20", "w": "x + 18", "p": "w + 18", "u": "p + 8", "v": "u + 11", "d": "q + 19", "a": "d + 4", "l": "a + 2", "o": "l + 16", "k": "o + 5", "g": "k + 8", "q": 17}, "premises": {"q": 17}, "target": "v"}, "answer": {"steps": [["u", "p + 8", "p + 19"], ["p", "w + 18", "w + 37"], ["w", "x + 18", "x + 55"], ["x", "j + 20", "j + 75"], ["j", "q + 4", "q + 79"], ["q", 17, "96"]], "target_var_name": "v", "target_value": 96, "value_dict": {"q": 17}, "is_reverse": true}} | 5,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 18; g = k + 8; w = x + 18; j = q + 4; q = 17; k = o + 5; l = a + 2; u = p + 8; a = d + 4; o = l + 16; d = q + 19; v = u + 11; x = j + 20. If q = 17, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 8 to v, which gives v = p + 19.\n2. Substitute p = w + 18 to v, which gives v = w + 37.\n3. Substitute w = x + 18 to v, which gives v = x + 55.\n4. Substitute x = j + 20 to v, which gives v = j + 75.\n5. Substitute j = q + 4 to v, which gives v = q + 79.\n6. Substitute q = 17 to v, which gives v = 96.\n\nThus, the final answer is v = \\boxed{96}.",
"index": 5651,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 18; g = k + 8; w = x + 18; j = q + 4; q = 17; k = o + 5; l = a + 2; u = p + 8; a = d + 4; o = l + 16; d = q + 19; v = u + 11; x = j + 20. If q = 17, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 5", "b": "u + 10", "o": "b + 12", "w": "o + 17", "g": "w + 18", "p": "g + 9", "m": "r + 19", "i": "m + 17", "a": "i + 13", "c": "a + 8", "d": "c + 18", "f": "d + 15", "r": 6}, "premises": {"r": 6}, "target": "p"}, "answer": {"steps": [["g", "w + 18", "w + 27"], ["w", "o + 17", "o + 44"], ["o", "b + 12", "b + 56"], ["b", "u + 10", "u + 66"], ["u", "r + 5", "r + 71"], ["r", 6, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"r": 6}, "is_reverse": true}} | 5,652 | 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 + 17; b = u + 10; a = i + 13; u = r + 5; o = b + 12; d = c + 18; g = w + 18; m = r + 19; r = 6; c = a + 8; i = m + 17; f = d + 15; p = g + 9. If r = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 18 to p, which gives p = w + 27.\n2. Substitute w = o + 17 to p, which gives p = o + 44.\n3. Substitute o = b + 12 to p, which gives p = b + 56.\n4. Substitute b = u + 10 to p, which gives p = u + 66.\n5. Substitute u = r + 5 to p, which gives p = r + 71.\n6. Substitute r = 6 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 5652,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 17; b = u + 10; a = i + 13; u = r + 5; o = b + 12; d = c + 18; g = w + 18; m = r + 19; r = 6; c = a + 8; i = m + 17; f = d + 15; p = g + 9. If r = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 2", "u": "c + 17", "r": "u + 2", "h": "r + 9", "l": "h + 14", "s": "l + 5", "e": "x + 4", "i": "e + 18", "q": "i + 19", "z": "q + 17", "b": "z + 4", "m": "b + 8", "x": 10}, "premises": {"x": 10}, "target": "s"}, "answer": {"steps": [["l", "h + 14", "h + 19"], ["h", "r + 9", "r + 28"], ["r", "u + 2", "u + 30"], ["u", "c + 17", "c + 47"], ["c", "x + 2", "x + 49"], ["x", 10, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"x": 10}, "is_reverse": true}} | 5,653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 2; e = x + 4; q = i + 19; c = x + 2; m = b + 8; x = 10; b = z + 4; h = r + 9; l = h + 14; z = q + 17; u = c + 17; s = l + 5; i = e + 18. If x = 10, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 14 to s, which gives s = h + 19.\n2. Substitute h = r + 9 to s, which gives s = r + 28.\n3. Substitute r = u + 2 to s, which gives s = u + 30.\n4. Substitute u = c + 17 to s, which gives s = c + 47.\n5. Substitute c = x + 2 to s, which gives s = x + 49.\n6. Substitute x = 10 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 5653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 2; e = x + 4; q = i + 19; c = x + 2; m = b + 8; x = 10; b = z + 4; h = r + 9; l = h + 14; z = q + 17; u = c + 17; s = l + 5; i = e + 18. If x = 10, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 6", "j": "a + 11", "u": "j + 19", "g": "u + 14", "s": "g + 1", "q": "s + 12", "n": "p + 5", "v": "n + 8", "f": "v + 19", "d": "f + 13", "w": "d + 13", "c": "w + 19", "p": 7}, "premises": {"p": 7}, "target": "q"}, "answer": {"steps": [["s", "g + 1", "g + 13"], ["g", "u + 14", "u + 27"], ["u", "j + 19", "j + 46"], ["j", "a + 11", "a + 57"], ["a", "p + 6", "p + 63"], ["p", 7, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"p": 7}, "is_reverse": true}} | 5,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 13; j = a + 11; f = v + 19; a = p + 6; u = j + 19; g = u + 14; p = 7; n = p + 5; v = n + 8; s = g + 1; d = f + 13; c = w + 19; q = s + 12. If p = 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 s = g + 1 to q, which gives q = g + 13.\n2. Substitute g = u + 14 to q, which gives q = u + 27.\n3. Substitute u = j + 19 to q, which gives q = j + 46.\n4. Substitute j = a + 11 to q, which gives q = a + 57.\n5. Substitute a = p + 6 to q, which gives q = p + 63.\n6. Substitute p = 7 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 5654,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 13; j = a + 11; f = v + 19; a = p + 6; u = j + 19; g = u + 14; p = 7; n = p + 5; v = n + 8; s = g + 1; d = f + 13; c = w + 19; q = s + 12. If p = 7, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 12", "d": "u + 3", "z": "d + 3", "e": "z + 5", "y": "e + 13", "v": "y + 4", "b": "t + 16", "c": "b + 5", "m": "c + 4", "r": "m + 15", "s": "r + 10", "q": "s + 2", "t": 4}, "premises": {"t": 4}, "target": "v"}, "answer": {"steps": [["y", "e + 13", "e + 17"], ["e", "z + 5", "z + 22"], ["z", "d + 3", "d + 25"], ["d", "u + 3", "u + 28"], ["u", "t + 12", "t + 40"], ["t", 4, "44"]], "target_var_name": "v", "target_value": 44, "value_dict": {"t": 4}, "is_reverse": true}} | 5,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 10; t = 4; z = d + 3; v = y + 4; u = t + 12; c = b + 5; b = t + 16; r = m + 15; d = u + 3; e = z + 5; q = s + 2; y = e + 13; m = c + 4. Given that t = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 13 to v, which gives v = e + 17.\n2. Substitute e = z + 5 to v, which gives v = z + 22.\n3. Substitute z = d + 3 to v, which gives v = d + 25.\n4. Substitute d = u + 3 to v, which gives v = u + 28.\n5. Substitute u = t + 12 to v, which gives v = t + 40.\n6. Substitute t = 4 to v, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 5655,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 10; t = 4; z = d + 3; v = y + 4; u = t + 12; c = b + 5; b = t + 16; r = m + 15; d = u + 3; e = z + 5; q = s + 2; y = e + 13; m = c + 4. Given that t = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 7", "l": "h + 20", "x": "l + 20", "t": "x + 9", "r": "t + 2", "z": "r + 14", "a": "b + 7", "c": "a + 1", "g": "c + 19", "u": "g + 3", "j": "u + 14", "e": "j + 17", "b": 7}, "premises": {"b": 7}, "target": "z"}, "answer": {"steps": [["r", "t + 2", "t + 16"], ["t", "x + 9", "x + 25"], ["x", "l + 20", "l + 45"], ["l", "h + 20", "h + 65"], ["h", "b + 7", "b + 72"], ["b", 7, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"b": 7}, "is_reverse": true}} | 5,656 | 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 = t + 2; j = u + 14; e = j + 17; a = b + 7; t = x + 9; z = r + 14; x = l + 20; l = h + 20; u = g + 3; c = a + 1; h = b + 7; b = 7; g = c + 19. If b = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 2 to z, which gives z = t + 16.\n2. Substitute t = x + 9 to z, which gives z = x + 25.\n3. Substitute x = l + 20 to z, which gives z = l + 45.\n4. Substitute l = h + 20 to z, which gives z = h + 65.\n5. Substitute h = b + 7 to z, which gives z = b + 72.\n6. Substitute b = 7 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 5656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = t + 2; j = u + 14; e = j + 17; a = b + 7; t = x + 9; z = r + 14; x = l + 20; l = h + 20; u = g + 3; c = a + 1; h = b + 7; b = 7; g = c + 19. If b = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 5", "i": "z + 10", "f": "i + 20", "p": "f + 12", "c": "p + 12", "d": "c + 15", "q": "l + 9", "m": "q + 5", "b": "m + 6", "t": "b + 3", "u": "t + 14", "v": "u + 14", "l": 2}, "premises": {"l": 2}, "target": "d"}, "answer": {"steps": [["c", "p + 12", "p + 27"], ["p", "f + 12", "f + 39"], ["f", "i + 20", "i + 59"], ["i", "z + 10", "z + 69"], ["z", "l + 5", "l + 74"], ["l", 2, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"l": 2}, "is_reverse": true}} | 5,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 9; d = c + 15; c = p + 12; t = b + 3; u = t + 14; l = 2; z = l + 5; b = m + 6; m = q + 5; v = u + 14; p = f + 12; f = i + 20; i = z + 10. If l = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 12 to d, which gives d = p + 27.\n2. Substitute p = f + 12 to d, which gives d = f + 39.\n3. Substitute f = i + 20 to d, which gives d = i + 59.\n4. Substitute i = z + 10 to d, which gives d = z + 69.\n5. Substitute z = l + 5 to d, which gives d = l + 74.\n6. Substitute l = 2 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 5657,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 9; d = c + 15; c = p + 12; t = b + 3; u = t + 14; l = 2; z = l + 5; b = m + 6; m = q + 5; v = u + 14; p = f + 12; f = i + 20; i = z + 10. If l = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 8", "s": "h + 2", "l": "s + 20", "k": "l + 9", "x": "k + 8", "b": "x + 3", "a": "z + 12", "u": "a + 18", "v": "u + 8", "c": "v + 8", "r": "c + 14", "w": "r + 8", "z": 16}, "premises": {"z": 16}, "target": "b"}, "answer": {"steps": [["x", "k + 8", "k + 11"], ["k", "l + 9", "l + 20"], ["l", "s + 20", "s + 40"], ["s", "h + 2", "h + 42"], ["h", "z + 8", "z + 50"], ["z", 16, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"z": 16}, "is_reverse": true}} | 5,658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = h + 2; l = s + 20; k = l + 9; w = r + 8; h = z + 8; a = z + 12; z = 16; r = c + 14; u = a + 18; b = x + 3; x = k + 8; v = u + 8; c = v + 8. If z = 16, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 8 to b, which gives b = k + 11.\n2. Substitute k = l + 9 to b, which gives b = l + 20.\n3. Substitute l = s + 20 to b, which gives b = s + 40.\n4. Substitute s = h + 2 to b, which gives b = h + 42.\n5. Substitute h = z + 8 to b, which gives b = z + 50.\n6. Substitute z = 16 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 5658,
"question": "Consider a system of variables where each variable is defined as follows: s = h + 2; l = s + 20; k = l + 9; w = r + 8; h = z + 8; a = z + 12; z = 16; r = c + 14; u = a + 18; b = x + 3; x = k + 8; v = u + 8; c = v + 8. If z = 16, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 8", "r": "f + 20", "u": "r + 11", "w": "u + 9", "e": "w + 7", "k": "e + 13", "x": "n + 3", "g": "x + 14", "y": "g + 1", "i": "y + 2", "z": "i + 5", "j": "z + 7", "n": 10}, "premises": {"n": 10}, "target": "k"}, "answer": {"steps": [["e", "w + 7", "w + 20"], ["w", "u + 9", "u + 29"], ["u", "r + 11", "r + 40"], ["r", "f + 20", "f + 60"], ["f", "n + 8", "n + 68"], ["n", 10, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"n": 10}, "is_reverse": true}} | 5,659 | 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 = n + 3; e = w + 7; j = z + 7; w = u + 9; y = g + 1; f = n + 8; i = y + 2; g = x + 14; u = r + 11; n = 10; k = e + 13; z = i + 5; r = f + 20. If n = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 7 to k, which gives k = w + 20.\n2. Substitute w = u + 9 to k, which gives k = u + 29.\n3. Substitute u = r + 11 to k, which gives k = r + 40.\n4. Substitute r = f + 20 to k, which gives k = f + 60.\n5. Substitute f = n + 8 to k, which gives k = n + 68.\n6. Substitute n = 10 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 5659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 3; e = w + 7; j = z + 7; w = u + 9; y = g + 1; f = n + 8; i = y + 2; g = x + 14; u = r + 11; n = 10; k = e + 13; z = i + 5; r = f + 20. If n = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 17", "q": "i + 2", "k": "q + 8", "t": "k + 3", "z": "t + 11", "c": "z + 8", "x": "r + 11", "e": "x + 7", "n": "e + 3", "d": "n + 10", "p": "d + 10", "h": "p + 3", "r": 15}, "premises": {"r": 15}, "target": "c"}, "answer": {"steps": [["z", "t + 11", "t + 19"], ["t", "k + 3", "k + 22"], ["k", "q + 8", "q + 30"], ["q", "i + 2", "i + 32"], ["i", "r + 17", "r + 49"], ["r", 15, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"r": 15}, "is_reverse": true}} | 5,660 | 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 = x + 7; c = z + 8; k = q + 8; r = 15; h = p + 3; n = e + 3; q = i + 2; d = n + 10; z = t + 11; i = r + 17; x = r + 11; t = k + 3; p = d + 10. If r = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 11 to c, which gives c = t + 19.\n2. Substitute t = k + 3 to c, which gives c = k + 22.\n3. Substitute k = q + 8 to c, which gives c = q + 30.\n4. Substitute q = i + 2 to c, which gives c = i + 32.\n5. Substitute i = r + 17 to c, which gives c = r + 49.\n6. Substitute r = 15 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 5660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 7; c = z + 8; k = q + 8; r = 15; h = p + 3; n = e + 3; q = i + 2; d = n + 10; z = t + 11; i = r + 17; x = r + 11; t = k + 3; p = d + 10. If r = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 19", "r": "y + 11", "f": "r + 19", "v": "f + 19", "c": "v + 13", "d": "c + 16", "m": "t + 13", "p": "m + 15", "x": "p + 9", "k": "x + 5", "h": "k + 7", "o": "h + 15", "t": 10}, "premises": {"t": 10}, "target": "d"}, "answer": {"steps": [["c", "v + 13", "v + 29"], ["v", "f + 19", "f + 48"], ["f", "r + 19", "r + 67"], ["r", "y + 11", "y + 78"], ["y", "t + 19", "t + 97"], ["t", 10, "107"]], "target_var_name": "d", "target_value": 107, "value_dict": {"t": 10}, "is_reverse": true}} | 5,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 19; h = k + 7; m = t + 13; p = m + 15; y = t + 19; c = v + 13; o = h + 15; t = 10; r = y + 11; x = p + 9; v = f + 19; d = c + 16; k = x + 5. If t = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 13 to d, which gives d = v + 29.\n2. Substitute v = f + 19 to d, which gives d = f + 48.\n3. Substitute f = r + 19 to d, which gives d = r + 67.\n4. Substitute r = y + 11 to d, which gives d = y + 78.\n5. Substitute y = t + 19 to d, which gives d = t + 97.\n6. Substitute t = 10 to d, which gives d = 107.\n\nThus, the final answer is d = \\boxed{107}.",
"index": 5661,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 19; h = k + 7; m = t + 13; p = m + 15; y = t + 19; c = v + 13; o = h + 15; t = 10; r = y + 11; x = p + 9; v = f + 19; d = c + 16; k = x + 5. If t = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 18", "w": "z + 16", "s": "w + 16", "n": "s + 18", "o": "n + 17", "g": "o + 1", "f": "b + 10", "p": "f + 4", "c": "p + 1", "v": "c + 12", "l": "v + 2", "y": "l + 16", "b": 13}, "premises": {"b": 13}, "target": "g"}, "answer": {"steps": [["o", "n + 17", "n + 18"], ["n", "s + 18", "s + 36"], ["s", "w + 16", "w + 52"], ["w", "z + 16", "z + 68"], ["z", "b + 18", "b + 86"], ["b", 13, "99"]], "target_var_name": "g", "target_value": 99, "value_dict": {"b": 13}, "is_reverse": true}} | 5,662 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 16; g = o + 1; b = 13; p = f + 4; n = s + 18; o = n + 17; s = w + 16; f = b + 10; l = v + 2; y = l + 16; c = p + 1; z = b + 18; v = c + 12. If b = 13, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 17 to g, which gives g = n + 18.\n2. Substitute n = s + 18 to g, which gives g = s + 36.\n3. Substitute s = w + 16 to g, which gives g = w + 52.\n4. Substitute w = z + 16 to g, which gives g = z + 68.\n5. Substitute z = b + 18 to g, which gives g = b + 86.\n6. Substitute b = 13 to g, which gives g = 99.\n\nThus, the final answer is g = \\boxed{99}.",
"index": 5662,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 16; g = o + 1; b = 13; p = f + 4; n = s + 18; o = n + 17; s = w + 16; f = b + 10; l = v + 2; y = l + 16; c = p + 1; z = b + 18; v = c + 12. If b = 13, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 9", "d": "n + 3", "h": "d + 20", "l": "h + 5", "w": "l + 3", "g": "w + 14", "c": "i + 16", "k": "c + 2", "z": "k + 12", "t": "z + 14", "b": "t + 14", "v": "b + 2", "i": 2}, "premises": {"i": 2}, "target": "g"}, "answer": {"steps": [["w", "l + 3", "l + 17"], ["l", "h + 5", "h + 22"], ["h", "d + 20", "d + 42"], ["d", "n + 3", "n + 45"], ["n", "i + 9", "i + 54"], ["i", 2, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"i": 2}, "is_reverse": true}} | 5,663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 2; z = k + 12; h = d + 20; n = i + 9; l = h + 5; v = b + 2; b = t + 14; w = l + 3; d = n + 3; t = z + 14; k = c + 2; c = i + 16; g = w + 14. Given that i = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 3 to g, which gives g = l + 17.\n2. Substitute l = h + 5 to g, which gives g = h + 22.\n3. Substitute h = d + 20 to g, which gives g = d + 42.\n4. Substitute d = n + 3 to g, which gives g = n + 45.\n5. Substitute n = i + 9 to g, which gives g = i + 54.\n6. Substitute i = 2 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 5663,
"question": "Suppose a collection of variables is related by the following definitions: i = 2; z = k + 12; h = d + 20; n = i + 9; l = h + 5; v = b + 2; b = t + 14; w = l + 3; d = n + 3; t = z + 14; k = c + 2; c = i + 16; g = w + 14. Given that i = 2, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 10", "n": "o + 11", "l": "n + 13", "r": "l + 8", "u": "r + 5", "v": "u + 10", "y": "d + 15", "z": "y + 4", "s": "z + 15", "j": "s + 5", "m": "j + 15", "f": "m + 16", "d": 16}, "premises": {"d": 16}, "target": "v"}, "answer": {"steps": [["u", "r + 5", "r + 15"], ["r", "l + 8", "l + 23"], ["l", "n + 13", "n + 36"], ["n", "o + 11", "o + 47"], ["o", "d + 10", "d + 57"], ["d", 16, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"d": 16}, "is_reverse": true}} | 5,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 16; o = d + 10; f = m + 16; v = u + 10; m = j + 15; u = r + 5; j = s + 5; l = n + 13; n = o + 11; s = z + 15; y = d + 15; z = y + 4; r = l + 8. If d = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 5 to v, which gives v = r + 15.\n2. Substitute r = l + 8 to v, which gives v = l + 23.\n3. Substitute l = n + 13 to v, which gives v = n + 36.\n4. Substitute n = o + 11 to v, which gives v = o + 47.\n5. Substitute o = d + 10 to v, which gives v = d + 57.\n6. Substitute d = 16 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 5664,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 16; o = d + 10; f = m + 16; v = u + 10; m = j + 15; u = r + 5; j = s + 5; l = n + 13; n = o + 11; s = z + 15; y = d + 15; z = y + 4; r = l + 8. If d = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 6", "z": "f + 7", "d": "z + 15", "i": "d + 4", "u": "i + 7", "a": "u + 20", "j": "k + 17", "c": "j + 16", "g": "c + 18", "o": "g + 10", "e": "o + 9", "p": "e + 10", "k": 14}, "premises": {"k": 14}, "target": "a"}, "answer": {"steps": [["u", "i + 7", "i + 27"], ["i", "d + 4", "d + 31"], ["d", "z + 15", "z + 46"], ["z", "f + 7", "f + 53"], ["f", "k + 6", "k + 59"], ["k", 14, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"k": 14}, "is_reverse": true}} | 5,665 | 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 = j + 16; f = k + 6; u = i + 7; o = g + 10; a = u + 20; i = d + 4; p = e + 10; j = k + 17; k = 14; g = c + 18; d = z + 15; z = f + 7; e = o + 9. If k = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 7 to a, which gives a = i + 27.\n2. Substitute i = d + 4 to a, which gives a = d + 31.\n3. Substitute d = z + 15 to a, which gives a = z + 46.\n4. Substitute z = f + 7 to a, which gives a = f + 53.\n5. Substitute f = k + 6 to a, which gives a = k + 59.\n6. Substitute k = 14 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 5665,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 16; f = k + 6; u = i + 7; o = g + 10; a = u + 20; i = d + 4; p = e + 10; j = k + 17; k = 14; g = c + 18; d = z + 15; z = f + 7; e = o + 9. If k = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 9", "c": "t + 10", "i": "c + 14", "j": "i + 13", "p": "j + 5", "w": "p + 1", "o": "k + 3", "u": "o + 10", "q": "u + 11", "d": "q + 5", "n": "d + 2", "g": "n + 4", "k": 7}, "premises": {"k": 7}, "target": "w"}, "answer": {"steps": [["p", "j + 5", "j + 6"], ["j", "i + 13", "i + 19"], ["i", "c + 14", "c + 33"], ["c", "t + 10", "t + 43"], ["t", "k + 9", "k + 52"], ["k", 7, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"k": 7}, "is_reverse": true}} | 5,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = o + 10; j = i + 13; w = p + 1; i = c + 14; o = k + 3; n = d + 2; g = n + 4; k = 7; p = j + 5; c = t + 10; t = k + 9; d = q + 5; q = u + 11. If k = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 5 to w, which gives w = j + 6.\n2. Substitute j = i + 13 to w, which gives w = i + 19.\n3. Substitute i = c + 14 to w, which gives w = c + 33.\n4. Substitute c = t + 10 to w, which gives w = t + 43.\n5. Substitute t = k + 9 to w, which gives w = k + 52.\n6. Substitute k = 7 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 5666,
"question": "Consider a system of variables where each variable is defined as follows: u = o + 10; j = i + 13; w = p + 1; i = c + 14; o = k + 3; n = d + 2; g = n + 4; k = 7; p = j + 5; c = t + 10; t = k + 9; d = q + 5; q = u + 11. If k = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 18", "x": "l + 16", "f": "x + 3", "w": "f + 20", "s": "w + 4", "r": "s + 9", "q": "v + 17", "t": "q + 11", "n": "t + 17", "a": "n + 19", "u": "a + 8", "h": "u + 20", "v": 17}, "premises": {"v": 17}, "target": "r"}, "answer": {"steps": [["s", "w + 4", "w + 13"], ["w", "f + 20", "f + 33"], ["f", "x + 3", "x + 36"], ["x", "l + 16", "l + 52"], ["l", "v + 18", "v + 70"], ["v", 17, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"v": 17}, "is_reverse": true}} | 5,667 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 19; h = u + 20; f = x + 3; v = 17; s = w + 4; t = q + 11; n = t + 17; x = l + 16; r = s + 9; w = f + 20; l = v + 18; q = v + 17; u = a + 8. Given that v = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 4 to r, which gives r = w + 13.\n2. Substitute w = f + 20 to r, which gives r = f + 33.\n3. Substitute f = x + 3 to r, which gives r = x + 36.\n4. Substitute x = l + 16 to r, which gives r = l + 52.\n5. Substitute l = v + 18 to r, which gives r = v + 70.\n6. Substitute v = 17 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 5667,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 19; h = u + 20; f = x + 3; v = 17; s = w + 4; t = q + 11; n = t + 17; x = l + 16; r = s + 9; w = f + 20; l = v + 18; q = v + 17; u = a + 8. Given that v = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 2", "t": "e + 20", "b": "t + 16", "s": "b + 13", "j": "s + 4", "w": "j + 16", "l": "m + 10", "y": "l + 6", "u": "y + 16", "d": "u + 9", "x": "d + 20", "q": "x + 18", "m": 13}, "premises": {"m": 13}, "target": "w"}, "answer": {"steps": [["j", "s + 4", "s + 20"], ["s", "b + 13", "b + 33"], ["b", "t + 16", "t + 49"], ["t", "e + 20", "e + 69"], ["e", "m + 2", "m + 71"], ["m", 13, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"m": 13}, "is_reverse": true}} | 5,668 | 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 = b + 13; d = u + 9; y = l + 6; b = t + 16; m = 13; e = m + 2; l = m + 10; q = x + 18; x = d + 20; t = e + 20; j = s + 4; w = j + 16; u = y + 16. If m = 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 j = s + 4 to w, which gives w = s + 20.\n2. Substitute s = b + 13 to w, which gives w = b + 33.\n3. Substitute b = t + 16 to w, which gives w = t + 49.\n4. Substitute t = e + 20 to w, which gives w = e + 69.\n5. Substitute e = m + 2 to w, which gives w = m + 71.\n6. Substitute m = 13 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 5668,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 13; d = u + 9; y = l + 6; b = t + 16; m = 13; e = m + 2; l = m + 10; q = x + 18; x = d + 20; t = e + 20; j = s + 4; w = j + 16; u = y + 16. If m = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 20", "f": "h + 16", "i": "f + 18", "q": "i + 3", "x": "q + 19", "u": "x + 15", "b": "y + 19", "s": "b + 9", "p": "s + 10", "n": "p + 19", "r": "n + 2", "g": "r + 2", "y": 4}, "premises": {"y": 4}, "target": "u"}, "answer": {"steps": [["x", "q + 19", "q + 34"], ["q", "i + 3", "i + 37"], ["i", "f + 18", "f + 55"], ["f", "h + 16", "h + 71"], ["h", "y + 20", "y + 91"], ["y", 4, "95"]], "target_var_name": "u", "target_value": 95, "value_dict": {"y": 4}, "is_reverse": true}} | 5,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = p + 19; f = h + 16; u = x + 15; i = f + 18; y = 4; p = s + 10; b = y + 19; r = n + 2; g = r + 2; x = q + 19; s = b + 9; q = i + 3; h = y + 20. If y = 4, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 19 to u, which gives u = q + 34.\n2. Substitute q = i + 3 to u, which gives u = i + 37.\n3. Substitute i = f + 18 to u, which gives u = f + 55.\n4. Substitute f = h + 16 to u, which gives u = h + 71.\n5. Substitute h = y + 20 to u, which gives u = y + 91.\n6. Substitute y = 4 to u, which gives u = 95.\n\nThus, the final answer is u = \\boxed{95}.",
"index": 5669,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 19; f = h + 16; u = x + 15; i = f + 18; y = 4; p = s + 10; b = y + 19; r = n + 2; g = r + 2; x = q + 19; s = b + 9; q = i + 3; h = y + 20. If y = 4, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 19", "g": "u + 20", "j": "g + 12", "y": "j + 3", "l": "y + 10", "r": "l + 17", "c": "n + 5", "s": "c + 20", "b": "s + 13", "e": "b + 1", "w": "e + 19", "q": "w + 19", "n": 1}, "premises": {"n": 1}, "target": "r"}, "answer": {"steps": [["l", "y + 10", "y + 27"], ["y", "j + 3", "j + 30"], ["j", "g + 12", "g + 42"], ["g", "u + 20", "u + 62"], ["u", "n + 19", "n + 81"], ["n", 1, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"n": 1}, "is_reverse": true}} | 5,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 19; q = w + 19; c = n + 5; s = c + 20; u = n + 19; r = l + 17; l = y + 10; n = 1; e = b + 1; y = j + 3; j = g + 12; g = u + 20; b = s + 13. If n = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 10 to r, which gives r = y + 27.\n2. Substitute y = j + 3 to r, which gives r = j + 30.\n3. Substitute j = g + 12 to r, which gives r = g + 42.\n4. Substitute g = u + 20 to r, which gives r = u + 62.\n5. Substitute u = n + 19 to r, which gives r = n + 81.\n6. Substitute n = 1 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 5670,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 19; q = w + 19; c = n + 5; s = c + 20; u = n + 19; r = l + 17; l = y + 10; n = 1; e = b + 1; y = j + 3; j = g + 12; g = u + 20; b = s + 13. If n = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 4", "s": "p + 11", "b": "s + 10", "f": "b + 8", "i": "f + 18", "d": "i + 13", "g": "o + 11", "m": "g + 3", "n": "m + 7", "t": "n + 13", "q": "t + 15", "r": "q + 19", "o": 13}, "premises": {"o": 13}, "target": "d"}, "answer": {"steps": [["i", "f + 18", "f + 31"], ["f", "b + 8", "b + 39"], ["b", "s + 10", "s + 49"], ["s", "p + 11", "p + 60"], ["p", "o + 4", "o + 64"], ["o", 13, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"o": 13}, "is_reverse": true}} | 5,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 10; n = m + 7; s = p + 11; i = f + 18; t = n + 13; o = 13; g = o + 11; f = b + 8; p = o + 4; d = i + 13; m = g + 3; q = t + 15; r = q + 19. If o = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 18 to d, which gives d = f + 31.\n2. Substitute f = b + 8 to d, which gives d = b + 39.\n3. Substitute b = s + 10 to d, which gives d = s + 49.\n4. Substitute s = p + 11 to d, which gives d = p + 60.\n5. Substitute p = o + 4 to d, which gives d = o + 64.\n6. Substitute o = 13 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 5671,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 10; n = m + 7; s = p + 11; i = f + 18; t = n + 13; o = 13; g = o + 11; f = b + 8; p = o + 4; d = i + 13; m = g + 3; q = t + 15; r = q + 19. If o = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 7", "g": "r + 13", "j": "g + 14", "y": "j + 7", "t": "y + 7", "d": "t + 20", "m": "w + 20", "l": "m + 17", "n": "l + 16", "i": "n + 17", "p": "i + 6", "u": "p + 1", "w": 5}, "premises": {"w": 5}, "target": "d"}, "answer": {"steps": [["t", "y + 7", "y + 27"], ["y", "j + 7", "j + 34"], ["j", "g + 14", "g + 48"], ["g", "r + 13", "r + 61"], ["r", "w + 7", "w + 68"], ["w", 5, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"w": 5}, "is_reverse": true}} | 5,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 7; m = w + 20; p = i + 6; l = m + 17; w = 5; r = w + 7; n = l + 16; i = n + 17; u = p + 1; d = t + 20; g = r + 13; j = g + 14; t = y + 7. If w = 5, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 7 to d, which gives d = y + 27.\n2. Substitute y = j + 7 to d, which gives d = j + 34.\n3. Substitute j = g + 14 to d, which gives d = g + 48.\n4. Substitute g = r + 13 to d, which gives d = r + 61.\n5. Substitute r = w + 7 to d, which gives d = w + 68.\n6. Substitute w = 5 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 5672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 7; m = w + 20; p = i + 6; l = m + 17; w = 5; r = w + 7; n = l + 16; i = n + 17; u = p + 1; d = t + 20; g = r + 13; j = g + 14; t = y + 7. If w = 5, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 18", "y": "n + 12", "w": "y + 1", "u": "w + 8", "h": "u + 10", "o": "h + 6", "p": "l + 16", "c": "p + 9", "q": "c + 8", "z": "q + 14", "k": "z + 10", "a": "k + 13", "l": 18}, "premises": {"l": 18}, "target": "o"}, "answer": {"steps": [["h", "u + 10", "u + 16"], ["u", "w + 8", "w + 24"], ["w", "y + 1", "y + 25"], ["y", "n + 12", "n + 37"], ["n", "l + 18", "l + 55"], ["l", 18, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"l": 18}, "is_reverse": true}} | 5,673 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 10; y = n + 12; h = u + 10; w = y + 1; p = l + 16; o = h + 6; c = p + 9; n = l + 18; l = 18; u = w + 8; z = q + 14; a = k + 13; q = c + 8. Given that l = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 10 to o, which gives o = u + 16.\n2. Substitute u = w + 8 to o, which gives o = w + 24.\n3. Substitute w = y + 1 to o, which gives o = y + 25.\n4. Substitute y = n + 12 to o, which gives o = n + 37.\n5. Substitute n = l + 18 to o, which gives o = l + 55.\n6. Substitute l = 18 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 5673,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 10; y = n + 12; h = u + 10; w = y + 1; p = l + 16; o = h + 6; c = p + 9; n = l + 18; l = 18; u = w + 8; z = q + 14; a = k + 13; q = c + 8. Given that l = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 12", "o": "s + 16", "b": "o + 12", "i": "b + 4", "g": "i + 14", "h": "g + 12", "r": "f + 5", "a": "r + 9", "u": "a + 6", "n": "u + 5", "x": "n + 7", "p": "x + 3", "f": 7}, "premises": {"f": 7}, "target": "h"}, "answer": {"steps": [["g", "i + 14", "i + 26"], ["i", "b + 4", "b + 30"], ["b", "o + 12", "o + 42"], ["o", "s + 16", "s + 58"], ["s", "f + 12", "f + 70"], ["f", 7, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"f": 7}, "is_reverse": true}} | 5,674 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 7; x = n + 7; i = b + 4; u = a + 6; g = i + 14; o = s + 16; p = x + 3; s = f + 12; r = f + 5; n = u + 5; h = g + 12; b = o + 12; a = r + 9. Given that f = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 14 to h, which gives h = i + 26.\n2. Substitute i = b + 4 to h, which gives h = b + 30.\n3. Substitute b = o + 12 to h, which gives h = o + 42.\n4. Substitute o = s + 16 to h, which gives h = s + 58.\n5. Substitute s = f + 12 to h, which gives h = f + 70.\n6. Substitute f = 7 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 5674,
"question": "Suppose a collection of variables is related by the following definitions: f = 7; x = n + 7; i = b + 4; u = a + 6; g = i + 14; o = s + 16; p = x + 3; s = f + 12; r = f + 5; n = u + 5; h = g + 12; b = o + 12; a = r + 9. Given that f = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 14", "i": "p + 17", "w": "i + 9", "j": "w + 4", "t": "j + 2", "k": "t + 3", "a": "s + 11", "c": "a + 14", "d": "c + 18", "g": "d + 12", "l": "g + 6", "u": "l + 20", "s": 6}, "premises": {"s": 6}, "target": "k"}, "answer": {"steps": [["t", "j + 2", "j + 5"], ["j", "w + 4", "w + 9"], ["w", "i + 9", "i + 18"], ["i", "p + 17", "p + 35"], ["p", "s + 14", "s + 49"], ["s", 6, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"s": 6}, "is_reverse": true}} | 5,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 4; g = d + 12; k = t + 3; d = c + 18; u = l + 20; s = 6; t = j + 2; c = a + 14; i = p + 17; w = i + 9; p = s + 14; a = s + 11; l = g + 6. If s = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 2 to k, which gives k = j + 5.\n2. Substitute j = w + 4 to k, which gives k = w + 9.\n3. Substitute w = i + 9 to k, which gives k = i + 18.\n4. Substitute i = p + 17 to k, which gives k = p + 35.\n5. Substitute p = s + 14 to k, which gives k = s + 49.\n6. Substitute s = 6 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 5675,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 4; g = d + 12; k = t + 3; d = c + 18; u = l + 20; s = 6; t = j + 2; c = a + 14; i = p + 17; w = i + 9; p = s + 14; a = s + 11; l = g + 6. If s = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 3", "s": "b + 20", "r": "s + 4", "l": "r + 7", "t": "l + 4", "v": "t + 14", "x": "c + 5", "z": "x + 8", "q": "z + 4", "g": "q + 12", "d": "g + 13", "n": "d + 20", "c": 4}, "premises": {"c": 4}, "target": "v"}, "answer": {"steps": [["t", "l + 4", "l + 18"], ["l", "r + 7", "r + 25"], ["r", "s + 4", "s + 29"], ["s", "b + 20", "b + 49"], ["b", "c + 3", "c + 52"], ["c", 4, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"c": 4}, "is_reverse": true}} | 5,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 13; r = s + 4; x = c + 5; n = d + 20; s = b + 20; l = r + 7; v = t + 14; t = l + 4; b = c + 3; c = 4; q = z + 4; g = q + 12; z = x + 8. If c = 4, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 4 to v, which gives v = l + 18.\n2. Substitute l = r + 7 to v, which gives v = r + 25.\n3. Substitute r = s + 4 to v, which gives v = s + 29.\n4. Substitute s = b + 20 to v, which gives v = b + 49.\n5. Substitute b = c + 3 to v, which gives v = c + 52.\n6. Substitute c = 4 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 5676,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 13; r = s + 4; x = c + 5; n = d + 20; s = b + 20; l = r + 7; v = t + 14; t = l + 4; b = c + 3; c = 4; q = z + 4; g = q + 12; z = x + 8. If c = 4, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 10", "u": "j + 20", "m": "u + 6", "y": "m + 3", "a": "y + 15", "l": "a + 13", "d": "x + 2", "f": "d + 2", "o": "f + 13", "c": "o + 7", "q": "c + 20", "e": "q + 12", "x": 16}, "premises": {"x": 16}, "target": "l"}, "answer": {"steps": [["a", "y + 15", "y + 28"], ["y", "m + 3", "m + 31"], ["m", "u + 6", "u + 37"], ["u", "j + 20", "j + 57"], ["j", "x + 10", "x + 67"], ["x", 16, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"x": 16}, "is_reverse": true}} | 5,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 2; a = y + 15; e = q + 12; y = m + 3; m = u + 6; x = 16; l = a + 13; c = o + 7; u = j + 20; q = c + 20; j = x + 10; o = f + 13; f = d + 2. If x = 16, what is the resulting 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 = y + 15 to l, which gives l = y + 28.\n2. Substitute y = m + 3 to l, which gives l = m + 31.\n3. Substitute m = u + 6 to l, which gives l = u + 37.\n4. Substitute u = j + 20 to l, which gives l = j + 57.\n5. Substitute j = x + 10 to l, which gives l = x + 67.\n6. Substitute x = 16 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 5677,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 2; a = y + 15; e = q + 12; y = m + 3; m = u + 6; x = 16; l = a + 13; c = o + 7; u = j + 20; q = c + 20; j = x + 10; o = f + 13; f = d + 2. If x = 16, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 2", "o": "e + 13", "r": "o + 16", "c": "r + 5", "j": "c + 6", "x": "j + 5", "m": "g + 9", "z": "m + 9", "i": "z + 9", "s": "i + 6", "l": "s + 7", "h": "l + 2", "g": 13}, "premises": {"g": 13}, "target": "x"}, "answer": {"steps": [["j", "c + 6", "c + 11"], ["c", "r + 5", "r + 16"], ["r", "o + 16", "o + 32"], ["o", "e + 13", "e + 45"], ["e", "g + 2", "g + 47"], ["g", 13, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"g": 13}, "is_reverse": true}} | 5,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 9; h = l + 2; l = s + 7; o = e + 13; s = i + 6; c = r + 5; z = m + 9; r = o + 16; g = 13; x = j + 5; e = g + 2; j = c + 6; m = g + 9. If g = 13, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 6 to x, which gives x = c + 11.\n2. Substitute c = r + 5 to x, which gives x = r + 16.\n3. Substitute r = o + 16 to x, which gives x = o + 32.\n4. Substitute o = e + 13 to x, which gives x = e + 45.\n5. Substitute e = g + 2 to x, which gives x = g + 47.\n6. Substitute g = 13 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 5678,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 9; h = l + 2; l = s + 7; o = e + 13; s = i + 6; c = r + 5; z = m + 9; r = o + 16; g = 13; x = j + 5; e = g + 2; j = c + 6; m = g + 9. If g = 13, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 3", "j": "e + 5", "f": "j + 4", "g": "f + 2", "h": "g + 17", "o": "h + 9", "b": "z + 1", "m": "b + 8", "r": "m + 1", "q": "r + 9", "k": "q + 5", "x": "k + 8", "z": 9}, "premises": {"z": 9}, "target": "o"}, "answer": {"steps": [["h", "g + 17", "g + 26"], ["g", "f + 2", "f + 28"], ["f", "j + 4", "j + 32"], ["j", "e + 5", "e + 37"], ["e", "z + 3", "z + 40"], ["z", 9, "49"]], "target_var_name": "o", "target_value": 49, "value_dict": {"z": 9}, "is_reverse": true}} | 5,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 8; z = 9; o = h + 9; j = e + 5; m = b + 8; k = q + 5; f = j + 4; r = m + 1; b = z + 1; q = r + 9; g = f + 2; e = z + 3; h = g + 17. Given that z = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 17 to o, which gives o = g + 26.\n2. Substitute g = f + 2 to o, which gives o = f + 28.\n3. Substitute f = j + 4 to o, which gives o = j + 32.\n4. Substitute j = e + 5 to o, which gives o = e + 37.\n5. Substitute e = z + 3 to o, which gives o = z + 40.\n6. Substitute z = 9 to o, which gives o = 49.\n\nThus, the final answer is o = \\boxed{49}.",
"index": 5679,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 8; z = 9; o = h + 9; j = e + 5; m = b + 8; k = q + 5; f = j + 4; r = m + 1; b = z + 1; q = r + 9; g = f + 2; e = z + 3; h = g + 17. Given that z = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 7", "g": "w + 9", "l": "g + 11", "b": "l + 17", "e": "b + 4", "j": "e + 13", "m": "d + 16", "u": "m + 3", "y": "u + 13", "t": "y + 14", "i": "t + 12", "n": "i + 2", "d": 8}, "premises": {"d": 8}, "target": "j"}, "answer": {"steps": [["e", "b + 4", "b + 17"], ["b", "l + 17", "l + 34"], ["l", "g + 11", "g + 45"], ["g", "w + 9", "w + 54"], ["w", "d + 7", "d + 61"], ["d", 8, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"d": 8}, "is_reverse": true}} | 5,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 7; u = m + 3; l = g + 11; y = u + 13; d = 8; i = t + 12; j = e + 13; m = d + 16; n = i + 2; b = l + 17; e = b + 4; t = y + 14; g = w + 9. Given that d = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 4 to j, which gives j = b + 17.\n2. Substitute b = l + 17 to j, which gives j = l + 34.\n3. Substitute l = g + 11 to j, which gives j = g + 45.\n4. Substitute g = w + 9 to j, which gives j = w + 54.\n5. Substitute w = d + 7 to j, which gives j = d + 61.\n6. Substitute d = 8 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 5680,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 7; u = m + 3; l = g + 11; y = u + 13; d = 8; i = t + 12; j = e + 13; m = d + 16; n = i + 2; b = l + 17; e = b + 4; t = y + 14; g = w + 9. Given that d = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 10", "g": "r + 19", "l": "g + 2", "b": "l + 10", "e": "b + 19", "m": "e + 13", "i": "c + 4", "f": "i + 19", "a": "f + 1", "j": "a + 19", "q": "j + 10", "u": "q + 17", "c": 14}, "premises": {"c": 14}, "target": "m"}, "answer": {"steps": [["e", "b + 19", "b + 32"], ["b", "l + 10", "l + 42"], ["l", "g + 2", "g + 44"], ["g", "r + 19", "r + 63"], ["r", "c + 10", "c + 73"], ["c", 14, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"c": 14}, "is_reverse": true}} | 5,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = e + 13; f = i + 19; e = b + 19; j = a + 19; g = r + 19; u = q + 17; i = c + 4; q = j + 10; a = f + 1; l = g + 2; r = c + 10; c = 14; b = l + 10. Given that c = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 19 to m, which gives m = b + 32.\n2. Substitute b = l + 10 to m, which gives m = l + 42.\n3. Substitute l = g + 2 to m, which gives m = g + 44.\n4. Substitute g = r + 19 to m, which gives m = r + 63.\n5. Substitute r = c + 10 to m, which gives m = c + 73.\n6. Substitute c = 14 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 5681,
"question": "Suppose a collection of variables is related by the following definitions: m = e + 13; f = i + 19; e = b + 19; j = a + 19; g = r + 19; u = q + 17; i = c + 4; q = j + 10; a = f + 1; l = g + 2; r = c + 10; c = 14; b = l + 10. Given that c = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 14", "u": "q + 11", "a": "u + 7", "h": "a + 14", "l": "h + 12", "d": "l + 11", "f": "e + 3", "v": "f + 6", "c": "v + 17", "o": "c + 20", "n": "o + 18", "k": "n + 2", "e": 6}, "premises": {"e": 6}, "target": "d"}, "answer": {"steps": [["l", "h + 12", "h + 23"], ["h", "a + 14", "a + 37"], ["a", "u + 7", "u + 44"], ["u", "q + 11", "q + 55"], ["q", "e + 14", "e + 69"], ["e", 6, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"e": 6}, "is_reverse": true}} | 5,682 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 17; f = e + 3; n = o + 18; k = n + 2; d = l + 11; h = a + 14; o = c + 20; l = h + 12; v = f + 6; a = u + 7; u = q + 11; q = e + 14; e = 6. If e = 6, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 12 to d, which gives d = h + 23.\n2. Substitute h = a + 14 to d, which gives d = a + 37.\n3. Substitute a = u + 7 to d, which gives d = u + 44.\n4. Substitute u = q + 11 to d, which gives d = q + 55.\n5. Substitute q = e + 14 to d, which gives d = e + 69.\n6. Substitute e = 6 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 5682,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 17; f = e + 3; n = o + 18; k = n + 2; d = l + 11; h = a + 14; o = c + 20; l = h + 12; v = f + 6; a = u + 7; u = q + 11; q = e + 14; e = 6. If e = 6, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 1", "r": "k + 3", "z": "r + 13", "m": "z + 3", "j": "m + 20", "b": "j + 17", "n": "c + 8", "f": "n + 19", "v": "f + 4", "x": "v + 1", "u": "x + 15", "e": "u + 10", "c": 3}, "premises": {"c": 3}, "target": "b"}, "answer": {"steps": [["j", "m + 20", "m + 37"], ["m", "z + 3", "z + 40"], ["z", "r + 13", "r + 53"], ["r", "k + 3", "k + 56"], ["k", "c + 1", "c + 57"], ["c", 3, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"c": 3}, "is_reverse": true}} | 5,683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 15; n = c + 8; z = r + 13; j = m + 20; r = k + 3; f = n + 19; k = c + 1; v = f + 4; x = v + 1; b = j + 17; m = z + 3; e = u + 10; c = 3. If c = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 20 to b, which gives b = m + 37.\n2. Substitute m = z + 3 to b, which gives b = z + 40.\n3. Substitute z = r + 13 to b, which gives b = r + 53.\n4. Substitute r = k + 3 to b, which gives b = k + 56.\n5. Substitute k = c + 1 to b, which gives b = c + 57.\n6. Substitute c = 3 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 5683,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 15; n = c + 8; z = r + 13; j = m + 20; r = k + 3; f = n + 19; k = c + 1; v = f + 4; x = v + 1; b = j + 17; m = z + 3; e = u + 10; c = 3. If c = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 9", "k": "p + 3", "q": "k + 3", "o": "q + 18", "y": "o + 12", "t": "y + 11", "x": "u + 10", "v": "x + 17", "n": "v + 20", "s": "n + 11", "j": "s + 14", "h": "j + 7", "u": 4}, "premises": {"u": 4}, "target": "t"}, "answer": {"steps": [["y", "o + 12", "o + 23"], ["o", "q + 18", "q + 41"], ["q", "k + 3", "k + 44"], ["k", "p + 3", "p + 47"], ["p", "u + 9", "u + 56"], ["u", 4, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"u": 4}, "is_reverse": true}} | 5,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 14; u = 4; x = u + 10; v = x + 17; o = q + 18; t = y + 11; k = p + 3; q = k + 3; y = o + 12; p = u + 9; h = j + 7; s = n + 11; n = v + 20. Given that u = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 12 to t, which gives t = o + 23.\n2. Substitute o = q + 18 to t, which gives t = q + 41.\n3. Substitute q = k + 3 to t, which gives t = k + 44.\n4. Substitute k = p + 3 to t, which gives t = p + 47.\n5. Substitute p = u + 9 to t, which gives t = u + 56.\n6. Substitute u = 4 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 5684,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 14; u = 4; x = u + 10; v = x + 17; o = q + 18; t = y + 11; k = p + 3; q = k + 3; y = o + 12; p = u + 9; h = j + 7; s = n + 11; n = v + 20. Given that u = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 17", "g": "q + 5", "m": "g + 12", "o": "m + 9", "d": "o + 8", "i": "d + 12", "j": "n + 4", "l": "j + 6", "c": "l + 3", "w": "c + 15", "t": "w + 8", "k": "t + 18", "n": 18}, "premises": {"n": 18}, "target": "i"}, "answer": {"steps": [["d", "o + 8", "o + 20"], ["o", "m + 9", "m + 29"], ["m", "g + 12", "g + 41"], ["g", "q + 5", "q + 46"], ["q", "n + 17", "n + 63"], ["n", 18, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"n": 18}, "is_reverse": true}} | 5,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 9; j = n + 4; t = w + 8; w = c + 15; n = 18; l = j + 6; g = q + 5; m = g + 12; i = d + 12; q = n + 17; c = l + 3; d = o + 8; k = t + 18. If n = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 8 to i, which gives i = o + 20.\n2. Substitute o = m + 9 to i, which gives i = m + 29.\n3. Substitute m = g + 12 to i, which gives i = g + 41.\n4. Substitute g = q + 5 to i, which gives i = q + 46.\n5. Substitute q = n + 17 to i, which gives i = n + 63.\n6. Substitute n = 18 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 5685,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 9; j = n + 4; t = w + 8; w = c + 15; n = 18; l = j + 6; g = q + 5; m = g + 12; i = d + 12; q = n + 17; c = l + 3; d = o + 8; k = t + 18. If n = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 14", "k": "b + 3", "m": "k + 15", "t": "m + 5", "d": "t + 20", "c": "d + 14", "n": "z + 13", "f": "n + 5", "y": "f + 18", "l": "y + 8", "g": "l + 5", "e": "g + 15", "z": 16}, "premises": {"z": 16}, "target": "c"}, "answer": {"steps": [["d", "t + 20", "t + 34"], ["t", "m + 5", "m + 39"], ["m", "k + 15", "k + 54"], ["k", "b + 3", "b + 57"], ["b", "z + 14", "z + 71"], ["z", 16, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"z": 16}, "is_reverse": true}} | 5,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 8; b = z + 14; d = t + 20; t = m + 5; z = 16; n = z + 13; f = n + 5; g = l + 5; y = f + 18; m = k + 15; e = g + 15; k = b + 3; c = d + 14. If z = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 20 to c, which gives c = t + 34.\n2. Substitute t = m + 5 to c, which gives c = m + 39.\n3. Substitute m = k + 15 to c, which gives c = k + 54.\n4. Substitute k = b + 3 to c, which gives c = b + 57.\n5. Substitute b = z + 14 to c, which gives c = z + 71.\n6. Substitute z = 16 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 5686,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 8; b = z + 14; d = t + 20; t = m + 5; z = 16; n = z + 13; f = n + 5; g = l + 5; y = f + 18; m = k + 15; e = g + 15; k = b + 3; c = d + 14. If z = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 12", "w": "v + 10", "z": "w + 10", "j": "z + 16", "f": "j + 15", "a": "f + 6", "o": "i + 13", "g": "o + 5", "b": "g + 1", "c": "b + 20", "h": "c + 14", "p": "h + 11", "i": 12}, "premises": {"i": 12}, "target": "a"}, "answer": {"steps": [["f", "j + 15", "j + 21"], ["j", "z + 16", "z + 37"], ["z", "w + 10", "w + 47"], ["w", "v + 10", "v + 57"], ["v", "i + 12", "i + 69"], ["i", 12, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"i": 12}, "is_reverse": true}} | 5,687 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 16; h = c + 14; f = j + 15; a = f + 6; c = b + 20; z = w + 10; v = i + 12; o = i + 13; g = o + 5; p = h + 11; i = 12; b = g + 1; w = v + 10. Given that i = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 15 to a, which gives a = j + 21.\n2. Substitute j = z + 16 to a, which gives a = z + 37.\n3. Substitute z = w + 10 to a, which gives a = w + 47.\n4. Substitute w = v + 10 to a, which gives a = v + 57.\n5. Substitute v = i + 12 to a, which gives a = i + 69.\n6. Substitute i = 12 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 5687,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 16; h = c + 14; f = j + 15; a = f + 6; c = b + 20; z = w + 10; v = i + 12; o = i + 13; g = o + 5; p = h + 11; i = 12; b = g + 1; w = v + 10. Given that i = 12, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 6", "p": "k + 14", "h": "p + 18", "o": "h + 8", "f": "o + 9", "b": "f + 9", "q": "s + 12", "r": "q + 16", "z": "r + 7", "u": "z + 1", "y": "u + 2", "d": "y + 12", "s": 8}, "premises": {"s": 8}, "target": "b"}, "answer": {"steps": [["f", "o + 9", "o + 18"], ["o", "h + 8", "h + 26"], ["h", "p + 18", "p + 44"], ["p", "k + 14", "k + 58"], ["k", "s + 6", "s + 64"], ["s", 8, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"s": 8}, "is_reverse": true}} | 5,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 12; f = o + 9; r = q + 16; b = f + 9; z = r + 7; u = z + 1; y = u + 2; h = p + 18; d = y + 12; s = 8; k = s + 6; o = h + 8; p = k + 14. If s = 8, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 9 to b, which gives b = o + 18.\n2. Substitute o = h + 8 to b, which gives b = h + 26.\n3. Substitute h = p + 18 to b, which gives b = p + 44.\n4. Substitute p = k + 14 to b, which gives b = k + 58.\n5. Substitute k = s + 6 to b, which gives b = s + 64.\n6. Substitute s = 8 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 5688,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 12; f = o + 9; r = q + 16; b = f + 9; z = r + 7; u = z + 1; y = u + 2; h = p + 18; d = y + 12; s = 8; k = s + 6; o = h + 8; p = k + 14. If s = 8, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 15", "h": "u + 1", "c": "h + 11", "w": "c + 17", "i": "w + 18", "x": "i + 16", "e": "o + 5", "t": "e + 17", "d": "t + 11", "v": "d + 4", "z": "v + 4", "n": "z + 20", "o": 20}, "premises": {"o": 20}, "target": "x"}, "answer": {"steps": [["i", "w + 18", "w + 34"], ["w", "c + 17", "c + 51"], ["c", "h + 11", "h + 62"], ["h", "u + 1", "u + 63"], ["u", "o + 15", "o + 78"], ["o", 20, "98"]], "target_var_name": "x", "target_value": 98, "value_dict": {"o": 20}, "is_reverse": true}} | 5,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = t + 11; i = w + 18; v = d + 4; x = i + 16; u = o + 15; h = u + 1; o = 20; c = h + 11; n = z + 20; w = c + 17; e = o + 5; z = v + 4; t = e + 17. Given that o = 20, 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 i = w + 18 to x, which gives x = w + 34.\n2. Substitute w = c + 17 to x, which gives x = c + 51.\n3. Substitute c = h + 11 to x, which gives x = h + 62.\n4. Substitute h = u + 1 to x, which gives x = u + 63.\n5. Substitute u = o + 15 to x, which gives x = o + 78.\n6. Substitute o = 20 to x, which gives x = 98.\n\nThus, the final answer is x = \\boxed{98}.",
"index": 5689,
"question": "Suppose a collection of variables is related by the following definitions: d = t + 11; i = w + 18; v = d + 4; x = i + 16; u = o + 15; h = u + 1; o = 20; c = h + 11; n = z + 20; w = c + 17; e = o + 5; z = v + 4; t = e + 17. Given that o = 20, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 12", "f": "h + 6", "p": "f + 9", "c": "p + 2", "v": "c + 6", "q": "v + 4", "o": "y + 15", "d": "o + 2", "n": "d + 14", "g": "n + 15", "w": "g + 12", "r": "w + 2", "y": 17}, "premises": {"y": 17}, "target": "q"}, "answer": {"steps": [["v", "c + 6", "c + 10"], ["c", "p + 2", "p + 12"], ["p", "f + 9", "f + 21"], ["f", "h + 6", "h + 27"], ["h", "y + 12", "y + 39"], ["y", 17, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"y": 17}, "is_reverse": true}} | 5,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 15; y = 17; o = y + 15; c = p + 2; p = f + 9; h = y + 12; n = d + 14; f = h + 6; q = v + 4; w = g + 12; d = o + 2; v = c + 6; r = w + 2. If y = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 6 to q, which gives q = c + 10.\n2. Substitute c = p + 2 to q, which gives q = p + 12.\n3. Substitute p = f + 9 to q, which gives q = f + 21.\n4. Substitute f = h + 6 to q, which gives q = h + 27.\n5. Substitute h = y + 12 to q, which gives q = y + 39.\n6. Substitute y = 17 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 5690,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 15; y = 17; o = y + 15; c = p + 2; p = f + 9; h = y + 12; n = d + 14; f = h + 6; q = v + 4; w = g + 12; d = o + 2; v = c + 6; r = w + 2. If y = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 12", "z": "h + 10", "r": "z + 10", "o": "r + 4", "m": "o + 3", "k": "m + 2", "b": "d + 10", "w": "b + 7", "v": "w + 13", "u": "v + 15", "i": "u + 1", "s": "i + 9", "d": 4}, "premises": {"d": 4}, "target": "k"}, "answer": {"steps": [["m", "o + 3", "o + 5"], ["o", "r + 4", "r + 9"], ["r", "z + 10", "z + 19"], ["z", "h + 10", "h + 29"], ["h", "d + 12", "d + 41"], ["d", 4, "45"]], "target_var_name": "k", "target_value": 45, "value_dict": {"d": 4}, "is_reverse": true}} | 5,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 4; k = m + 2; r = z + 10; o = r + 4; v = w + 13; s = i + 9; h = d + 12; z = h + 10; w = b + 7; m = o + 3; u = v + 15; b = d + 10; i = u + 1. If d = 4, 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 m = o + 3 to k, which gives k = o + 5.\n2. Substitute o = r + 4 to k, which gives k = r + 9.\n3. Substitute r = z + 10 to k, which gives k = z + 19.\n4. Substitute z = h + 10 to k, which gives k = h + 29.\n5. Substitute h = d + 12 to k, which gives k = d + 41.\n6. Substitute d = 4 to k, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 5691,
"question": "Consider a system of variables where each variable is defined as follows: d = 4; k = m + 2; r = z + 10; o = r + 4; v = w + 13; s = i + 9; h = d + 12; z = h + 10; w = b + 7; m = o + 3; u = v + 15; b = d + 10; i = u + 1. If d = 4, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 10", "h": "z + 12", "w": "h + 4", "k": "w + 7", "m": "k + 1", "l": "m + 10", "c": "n + 1", "d": "c + 13", "r": "d + 1", "q": "r + 16", "j": "q + 20", "p": "j + 10", "n": 17}, "premises": {"n": 17}, "target": "l"}, "answer": {"steps": [["m", "k + 1", "k + 11"], ["k", "w + 7", "w + 18"], ["w", "h + 4", "h + 22"], ["h", "z + 12", "z + 34"], ["z", "n + 10", "n + 44"], ["n", 17, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"n": 17}, "is_reverse": true}} | 5,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 1; c = n + 1; q = r + 16; l = m + 10; j = q + 20; k = w + 7; w = h + 4; z = n + 10; r = d + 1; d = c + 13; p = j + 10; h = z + 12; n = 17. Given that n = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 1 to l, which gives l = k + 11.\n2. Substitute k = w + 7 to l, which gives l = w + 18.\n3. Substitute w = h + 4 to l, which gives l = h + 22.\n4. Substitute h = z + 12 to l, which gives l = z + 34.\n5. Substitute z = n + 10 to l, which gives l = n + 44.\n6. Substitute n = 17 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 5692,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 1; c = n + 1; q = r + 16; l = m + 10; j = q + 20; k = w + 7; w = h + 4; z = n + 10; r = d + 1; d = c + 13; p = j + 10; h = z + 12; n = 17. Given that n = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 14", "q": "z + 18", "e": "q + 5", "a": "e + 18", "h": "a + 11", "n": "h + 17", "u": "w + 3", "b": "u + 10", "l": "b + 5", "v": "l + 1", "y": "v + 12", "s": "y + 16", "w": 18}, "premises": {"w": 18}, "target": "n"}, "answer": {"steps": [["h", "a + 11", "a + 28"], ["a", "e + 18", "e + 46"], ["e", "q + 5", "q + 51"], ["q", "z + 18", "z + 69"], ["z", "w + 14", "w + 83"], ["w", 18, "101"]], "target_var_name": "n", "target_value": 101, "value_dict": {"w": 18}, "is_reverse": true}} | 5,693 | 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 = 18; l = b + 5; s = y + 16; n = h + 17; b = u + 10; v = l + 1; z = w + 14; y = v + 12; q = z + 18; a = e + 18; e = q + 5; u = w + 3; h = a + 11. If w = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 11 to n, which gives n = a + 28.\n2. Substitute a = e + 18 to n, which gives n = e + 46.\n3. Substitute e = q + 5 to n, which gives n = q + 51.\n4. Substitute q = z + 18 to n, which gives n = z + 69.\n5. Substitute z = w + 14 to n, which gives n = w + 83.\n6. Substitute w = 18 to n, which gives n = 101.\n\nThus, the final answer is n = \\boxed{101}.",
"index": 5693,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 18; l = b + 5; s = y + 16; n = h + 17; b = u + 10; v = l + 1; z = w + 14; y = v + 12; q = z + 18; a = e + 18; e = q + 5; u = w + 3; h = a + 11. If w = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 8", "q": "c + 16", "k": "q + 13", "u": "k + 20", "y": "u + 11", "p": "y + 12", "t": "x + 20", "a": "t + 20", "n": "a + 6", "j": "n + 18", "g": "j + 15", "d": "g + 15", "x": 13}, "premises": {"x": 13}, "target": "p"}, "answer": {"steps": [["y", "u + 11", "u + 23"], ["u", "k + 20", "k + 43"], ["k", "q + 13", "q + 56"], ["q", "c + 16", "c + 72"], ["c", "x + 8", "x + 80"], ["x", 13, "93"]], "target_var_name": "p", "target_value": 93, "value_dict": {"x": 13}, "is_reverse": true}} | 5,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 15; q = c + 16; p = y + 12; x = 13; k = q + 13; n = a + 6; j = n + 18; c = x + 8; g = j + 15; y = u + 11; u = k + 20; t = x + 20; a = t + 20. If x = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 11 to p, which gives p = u + 23.\n2. Substitute u = k + 20 to p, which gives p = k + 43.\n3. Substitute k = q + 13 to p, which gives p = q + 56.\n4. Substitute q = c + 16 to p, which gives p = c + 72.\n5. Substitute c = x + 8 to p, which gives p = x + 80.\n6. Substitute x = 13 to p, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 5694,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 15; q = c + 16; p = y + 12; x = 13; k = q + 13; n = a + 6; j = n + 18; c = x + 8; g = j + 15; y = u + 11; u = k + 20; t = x + 20; a = t + 20. If x = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 13", "k": "j + 12", "n": "k + 6", "d": "n + 1", "x": "d + 3", "w": "x + 16", "a": "b + 15", "r": "a + 15", "v": "r + 16", "p": "v + 5", "g": "p + 5", "f": "g + 7", "b": 7}, "premises": {"b": 7}, "target": "w"}, "answer": {"steps": [["x", "d + 3", "d + 19"], ["d", "n + 1", "n + 20"], ["n", "k + 6", "k + 26"], ["k", "j + 12", "j + 38"], ["j", "b + 13", "b + 51"], ["b", 7, "58"]], "target_var_name": "w", "target_value": 58, "value_dict": {"b": 7}, "is_reverse": true}} | 5,695 | 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 = a + 15; p = v + 5; k = j + 12; f = g + 7; d = n + 1; w = x + 16; x = d + 3; a = b + 15; j = b + 13; g = p + 5; b = 7; v = r + 16; n = k + 6. If b = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 3 to w, which gives w = d + 19.\n2. Substitute d = n + 1 to w, which gives w = n + 20.\n3. Substitute n = k + 6 to w, which gives w = k + 26.\n4. Substitute k = j + 12 to w, which gives w = j + 38.\n5. Substitute j = b + 13 to w, which gives w = b + 51.\n6. Substitute b = 7 to w, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 5695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 15; p = v + 5; k = j + 12; f = g + 7; d = n + 1; w = x + 16; x = d + 3; a = b + 15; j = b + 13; g = p + 5; b = 7; v = r + 16; n = k + 6. If b = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 4", "g": "s + 12", "i": "g + 17", "p": "i + 4", "u": "p + 12", "k": "u + 11", "v": "d + 6", "f": "v + 14", "o": "f + 7", "e": "o + 1", "b": "e + 1", "j": "b + 1", "d": 1}, "premises": {"d": 1}, "target": "k"}, "answer": {"steps": [["u", "p + 12", "p + 23"], ["p", "i + 4", "i + 27"], ["i", "g + 17", "g + 44"], ["g", "s + 12", "s + 56"], ["s", "d + 4", "d + 60"], ["d", 1, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"d": 1}, "is_reverse": true}} | 5,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 4; o = f + 7; v = d + 6; k = u + 11; i = g + 17; u = p + 12; e = o + 1; g = s + 12; b = e + 1; d = 1; f = v + 14; j = b + 1; s = d + 4. If d = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 12 to k, which gives k = p + 23.\n2. Substitute p = i + 4 to k, which gives k = i + 27.\n3. Substitute i = g + 17 to k, which gives k = g + 44.\n4. Substitute g = s + 12 to k, which gives k = s + 56.\n5. Substitute s = d + 4 to k, which gives k = d + 60.\n6. Substitute d = 1 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 5696,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 4; o = f + 7; v = d + 6; k = u + 11; i = g + 17; u = p + 12; e = o + 1; g = s + 12; b = e + 1; d = 1; f = v + 14; j = b + 1; s = d + 4. If d = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 13", "w": "d + 17", "e": "w + 12", "a": "e + 6", "i": "a + 15", "l": "i + 14", "x": "j + 11", "f": "x + 12", "h": "f + 11", "z": "h + 9", "k": "z + 11", "m": "k + 13", "j": 11}, "premises": {"j": 11}, "target": "l"}, "answer": {"steps": [["i", "a + 15", "a + 29"], ["a", "e + 6", "e + 35"], ["e", "w + 12", "w + 47"], ["w", "d + 17", "d + 64"], ["d", "j + 13", "j + 77"], ["j", 11, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"j": 11}, "is_reverse": true}} | 5,697 | 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 = w + 12; x = j + 11; f = x + 12; w = d + 17; i = a + 15; m = k + 13; d = j + 13; z = h + 9; k = z + 11; a = e + 6; h = f + 11; l = i + 14; j = 11. If j = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 15 to l, which gives l = a + 29.\n2. Substitute a = e + 6 to l, which gives l = e + 35.\n3. Substitute e = w + 12 to l, which gives l = w + 47.\n4. Substitute w = d + 17 to l, which gives l = d + 64.\n5. Substitute d = j + 13 to l, which gives l = j + 77.\n6. Substitute j = 11 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 5697,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 12; x = j + 11; f = x + 12; w = d + 17; i = a + 15; m = k + 13; d = j + 13; z = h + 9; k = z + 11; a = e + 6; h = f + 11; l = i + 14; j = 11. If j = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 6", "w": "s + 15", "c": "w + 11", "h": "c + 19", "i": "h + 15", "f": "i + 16", "p": "l + 2", "x": "p + 15", "z": "x + 13", "o": "z + 11", "u": "o + 6", "d": "u + 2", "l": 5}, "premises": {"l": 5}, "target": "f"}, "answer": {"steps": [["i", "h + 15", "h + 31"], ["h", "c + 19", "c + 50"], ["c", "w + 11", "w + 61"], ["w", "s + 15", "s + 76"], ["s", "l + 6", "l + 82"], ["l", 5, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"l": 5}, "is_reverse": true}} | 5,698 | 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 = z + 11; l = 5; u = o + 6; x = p + 15; h = c + 19; p = l + 2; z = x + 13; f = i + 16; w = s + 15; d = u + 2; s = l + 6; c = w + 11; i = h + 15. If l = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 15 to f, which gives f = h + 31.\n2. Substitute h = c + 19 to f, which gives f = c + 50.\n3. Substitute c = w + 11 to f, which gives f = w + 61.\n4. Substitute w = s + 15 to f, which gives f = s + 76.\n5. Substitute s = l + 6 to f, which gives f = l + 82.\n6. Substitute l = 5 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 5698,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 11; l = 5; u = o + 6; x = p + 15; h = c + 19; p = l + 2; z = x + 13; f = i + 16; w = s + 15; d = u + 2; s = l + 6; c = w + 11; i = h + 15. If l = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 11", "m": "h + 10", "r": "m + 3", "f": "r + 15", "o": "f + 17", "e": "o + 8", "a": "y + 7", "u": "a + 5", "v": "u + 20", "k": "v + 14", "b": "k + 8", "p": "b + 2", "y": 19}, "premises": {"y": 19}, "target": "e"}, "answer": {"steps": [["o", "f + 17", "f + 25"], ["f", "r + 15", "r + 40"], ["r", "m + 3", "m + 43"], ["m", "h + 10", "h + 53"], ["h", "y + 11", "y + 64"], ["y", 19, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"y": 19}, "is_reverse": true}} | 5,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 7; p = b + 2; f = r + 15; r = m + 3; e = o + 8; u = a + 5; v = u + 20; y = 19; b = k + 8; k = v + 14; o = f + 17; m = h + 10; h = y + 11. If y = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 17 to e, which gives e = f + 25.\n2. Substitute f = r + 15 to e, which gives e = r + 40.\n3. Substitute r = m + 3 to e, which gives e = m + 43.\n4. Substitute m = h + 10 to e, which gives e = h + 53.\n5. Substitute h = y + 11 to e, which gives e = y + 64.\n6. Substitute y = 19 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 5699,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 7; p = b + 2; f = r + 15; r = m + 3; e = o + 8; u = a + 5; v = u + 20; y = 19; b = k + 8; k = v + 14; o = f + 17; m = h + 10; h = y + 11. If y = 19, determine the value of e.",
"split": "train"
} |
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