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": {"e": "v + 20", "q": "e + 18", "n": "q + 20", "u": "n + 8", "l": "u + 4", "b": "l + 15", "y": "v + 8", "h": "y + 14", "j": "h + 1", "f": "j + 20", "g": "f + 5", "s": "g + 5", "v": 15}, "premises": {"v": 15}, "target": "b"}, "answer": {"steps": [["l", "u + 4", "u + 19"], ["u", "n + 8", "n + 27"], ["n", "q + 20", "q + 47"], ["q", "e + 18", "e + 65"], ["e", "v + 20", "v + 85"], ["v", 15, "100"]], "target_var_name": "b", "target_value": 100, "value_dict": {"v": 15}, "is_reverse": true}} | 5,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 20; h = y + 14; l = u + 4; b = l + 15; u = n + 8; e = v + 20; y = v + 8; v = 15; g = f + 5; f = j + 20; q = e + 18; j = h + 1; s = g + 5. If v = 15, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 4 to b, which gives b = u + 19.\n2. Substitute u = n + 8 to b, which gives b = n + 27.\n3. Substitute n = q + 20 to b, which gives b = q + 47.\n4. Substitute q = e + 18 to b, which gives b = e + 65.\n5. Substitute e = v + 20 to b, which gives b = v + 85.\n6. Substitute v = 15 to b, which gives b = 100.\n\nThus, the final answer is b = \\boxed{100}.",
"index": 5900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 20; h = y + 14; l = u + 4; b = l + 15; u = n + 8; e = v + 20; y = v + 8; v = 15; g = f + 5; f = j + 20; q = e + 18; j = h + 1; s = g + 5. If v = 15, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 19", "u": "p + 13", "m": "u + 4", "y": "m + 6", "q": "y + 11", "e": "q + 16", "r": "o + 17", "k": "r + 6", "v": "k + 12", "n": "v + 9", "b": "n + 10", "i": "b + 10", "o": 7}, "premises": {"o": 7}, "target": "e"}, "answer": {"steps": [["q", "y + 11", "y + 27"], ["y", "m + 6", "m + 33"], ["m", "u + 4", "u + 37"], ["u", "p + 13", "p + 50"], ["p", "o + 19", "o + 69"], ["o", 7, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"o": 7}, "is_reverse": true}} | 5,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 16; u = p + 13; o = 7; v = k + 12; b = n + 10; k = r + 6; p = o + 19; i = b + 10; m = u + 4; r = o + 17; y = m + 6; n = v + 9; q = y + 11. If o = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 11 to e, which gives e = y + 27.\n2. Substitute y = m + 6 to e, which gives e = m + 33.\n3. Substitute m = u + 4 to e, which gives e = u + 37.\n4. Substitute u = p + 13 to e, which gives e = p + 50.\n5. Substitute p = o + 19 to e, which gives e = o + 69.\n6. Substitute o = 7 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 5901,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 16; u = p + 13; o = 7; v = k + 12; b = n + 10; k = r + 6; p = o + 19; i = b + 10; m = u + 4; r = o + 17; y = m + 6; n = v + 9; q = y + 11. If o = 7, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 7", "c": "k + 3", "y": "c + 10", "t": "y + 4", "q": "t + 12", "d": "q + 1", "v": "p + 5", "g": "v + 16", "i": "g + 17", "w": "i + 6", "u": "w + 15", "l": "u + 20", "p": 12}, "premises": {"p": 12}, "target": "d"}, "answer": {"steps": [["q", "t + 12", "t + 13"], ["t", "y + 4", "y + 17"], ["y", "c + 10", "c + 27"], ["c", "k + 3", "k + 30"], ["k", "p + 7", "p + 37"], ["p", 12, "49"]], "target_var_name": "d", "target_value": 49, "value_dict": {"p": 12}, "is_reverse": true}} | 5,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 20; q = t + 12; w = i + 6; u = w + 15; k = p + 7; d = q + 1; c = k + 3; p = 12; v = p + 5; t = y + 4; i = g + 17; g = v + 16; y = c + 10. If p = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 12 to d, which gives d = t + 13.\n2. Substitute t = y + 4 to d, which gives d = y + 17.\n3. Substitute y = c + 10 to d, which gives d = c + 27.\n4. Substitute c = k + 3 to d, which gives d = k + 30.\n5. Substitute k = p + 7 to d, which gives d = p + 37.\n6. Substitute p = 12 to d, which gives d = 49.\n\nThus, the final answer is d = \\boxed{49}.",
"index": 5902,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 20; q = t + 12; w = i + 6; u = w + 15; k = p + 7; d = q + 1; c = k + 3; p = 12; v = p + 5; t = y + 4; i = g + 17; g = v + 16; y = c + 10. If p = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 19", "r": "s + 8", "a": "r + 8", "u": "a + 20", "i": "u + 2", "o": "i + 4", "k": "y + 12", "t": "k + 9", "h": "t + 10", "p": "h + 18", "q": "p + 1", "z": "q + 3", "y": 12}, "premises": {"y": 12}, "target": "o"}, "answer": {"steps": [["i", "u + 2", "u + 6"], ["u", "a + 20", "a + 26"], ["a", "r + 8", "r + 34"], ["r", "s + 8", "s + 42"], ["s", "y + 19", "y + 61"], ["y", 12, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"y": 12}, "is_reverse": true}} | 5,903 | 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 = i + 4; p = h + 18; y = 12; i = u + 2; h = t + 10; z = q + 3; a = r + 8; t = k + 9; u = a + 20; q = p + 1; r = s + 8; k = y + 12; s = y + 19. If y = 12, what is the resulting 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 i = u + 2 to o, which gives o = u + 6.\n2. Substitute u = a + 20 to o, which gives o = a + 26.\n3. Substitute a = r + 8 to o, which gives o = r + 34.\n4. Substitute r = s + 8 to o, which gives o = s + 42.\n5. Substitute s = y + 19 to o, which gives o = y + 61.\n6. Substitute y = 12 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 5903,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 4; p = h + 18; y = 12; i = u + 2; h = t + 10; z = q + 3; a = r + 8; t = k + 9; u = a + 20; q = p + 1; r = s + 8; k = y + 12; s = y + 19. If y = 12, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 19", "i": "x + 3", "z": "i + 14", "d": "z + 7", "y": "d + 2", "h": "y + 10", "e": "c + 19", "r": "e + 10", "w": "r + 8", "v": "w + 14", "a": "v + 17", "t": "a + 11", "c": 14}, "premises": {"c": 14}, "target": "h"}, "answer": {"steps": [["y", "d + 2", "d + 12"], ["d", "z + 7", "z + 19"], ["z", "i + 14", "i + 33"], ["i", "x + 3", "x + 36"], ["x", "c + 19", "c + 55"], ["c", 14, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"c": 14}, "is_reverse": true}} | 5,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 19; y = d + 2; t = a + 11; d = z + 7; h = y + 10; v = w + 14; a = v + 17; w = r + 8; i = x + 3; z = i + 14; r = e + 10; c = 14; x = c + 19. If c = 14, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 2 to h, which gives h = d + 12.\n2. Substitute d = z + 7 to h, which gives h = z + 19.\n3. Substitute z = i + 14 to h, which gives h = i + 33.\n4. Substitute i = x + 3 to h, which gives h = x + 36.\n5. Substitute x = c + 19 to h, which gives h = c + 55.\n6. Substitute c = 14 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 5904,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 19; y = d + 2; t = a + 11; d = z + 7; h = y + 10; v = w + 14; a = v + 17; w = r + 8; i = x + 3; z = i + 14; r = e + 10; c = 14; x = c + 19. If c = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 11", "z": "i + 8", "o": "z + 10", "k": "o + 15", "a": "k + 7", "d": "a + 13", "e": "y + 17", "c": "e + 7", "u": "c + 5", "m": "u + 4", "j": "m + 5", "v": "j + 13", "y": 3}, "premises": {"y": 3}, "target": "d"}, "answer": {"steps": [["a", "k + 7", "k + 20"], ["k", "o + 15", "o + 35"], ["o", "z + 10", "z + 45"], ["z", "i + 8", "i + 53"], ["i", "y + 11", "y + 64"], ["y", 3, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"y": 3}, "is_reverse": true}} | 5,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 7; z = i + 8; j = m + 5; e = y + 17; d = a + 13; i = y + 11; y = 3; m = u + 4; o = z + 10; c = e + 7; u = c + 5; v = j + 13; k = o + 15. Given that y = 3, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 7 to d, which gives d = k + 20.\n2. Substitute k = o + 15 to d, which gives d = o + 35.\n3. Substitute o = z + 10 to d, which gives d = z + 45.\n4. Substitute z = i + 8 to d, which gives d = i + 53.\n5. Substitute i = y + 11 to d, which gives d = y + 64.\n6. Substitute y = 3 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 5905,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 7; z = i + 8; j = m + 5; e = y + 17; d = a + 13; i = y + 11; y = 3; m = u + 4; o = z + 10; c = e + 7; u = c + 5; v = j + 13; k = o + 15. Given that y = 3, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 19", "t": "g + 8", "r": "t + 8", "l": "r + 3", "v": "l + 15", "b": "v + 19", "y": "a + 8", "z": "y + 19", "m": "z + 17", "i": "m + 17", "w": "i + 5", "q": "w + 14", "a": 14}, "premises": {"a": 14}, "target": "b"}, "answer": {"steps": [["v", "l + 15", "l + 34"], ["l", "r + 3", "r + 37"], ["r", "t + 8", "t + 45"], ["t", "g + 8", "g + 53"], ["g", "a + 19", "a + 72"], ["a", 14, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"a": 14}, "is_reverse": true}} | 5,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 5; g = a + 19; y = a + 8; z = y + 19; m = z + 17; a = 14; i = m + 17; b = v + 19; t = g + 8; r = t + 8; q = w + 14; v = l + 15; l = r + 3. Given that a = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 15 to b, which gives b = l + 34.\n2. Substitute l = r + 3 to b, which gives b = r + 37.\n3. Substitute r = t + 8 to b, which gives b = t + 45.\n4. Substitute t = g + 8 to b, which gives b = g + 53.\n5. Substitute g = a + 19 to b, which gives b = a + 72.\n6. Substitute a = 14 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 5906,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 5; g = a + 19; y = a + 8; z = y + 19; m = z + 17; a = 14; i = m + 17; b = v + 19; t = g + 8; r = t + 8; q = w + 14; v = l + 15; l = r + 3. Given that a = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 2", "q": "b + 8", "f": "q + 20", "k": "f + 4", "g": "k + 16", "i": "g + 19", "p": "m + 12", "a": "p + 20", "z": "a + 18", "s": "z + 3", "h": "s + 19", "o": "h + 3", "m": 10}, "premises": {"m": 10}, "target": "i"}, "answer": {"steps": [["g", "k + 16", "k + 35"], ["k", "f + 4", "f + 39"], ["f", "q + 20", "q + 59"], ["q", "b + 8", "b + 67"], ["b", "m + 2", "m + 69"], ["m", 10, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"m": 10}, "is_reverse": true}} | 5,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 18; f = q + 20; m = 10; k = f + 4; q = b + 8; p = m + 12; i = g + 19; a = p + 20; h = s + 19; g = k + 16; b = m + 2; o = h + 3; s = z + 3. Given that m = 10, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 16 to i, which gives i = k + 35.\n2. Substitute k = f + 4 to i, which gives i = f + 39.\n3. Substitute f = q + 20 to i, which gives i = q + 59.\n4. Substitute q = b + 8 to i, which gives i = b + 67.\n5. Substitute b = m + 2 to i, which gives i = m + 69.\n6. Substitute m = 10 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 5907,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 18; f = q + 20; m = 10; k = f + 4; q = b + 8; p = m + 12; i = g + 19; a = p + 20; h = s + 19; g = k + 16; b = m + 2; o = h + 3; s = z + 3. Given that m = 10, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 3", "l": "a + 18", "r": "l + 9", "c": "r + 14", "y": "c + 16", "g": "y + 6", "w": "b + 5", "i": "w + 16", "m": "i + 11", "v": "m + 5", "h": "v + 2", "u": "h + 3", "b": 4}, "premises": {"b": 4}, "target": "g"}, "answer": {"steps": [["y", "c + 16", "c + 22"], ["c", "r + 14", "r + 36"], ["r", "l + 9", "l + 45"], ["l", "a + 18", "a + 63"], ["a", "b + 3", "b + 66"], ["b", 4, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"b": 4}, "is_reverse": true}} | 5,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 11; r = l + 9; l = a + 18; b = 4; a = b + 3; c = r + 14; w = b + 5; i = w + 16; y = c + 16; g = y + 6; u = h + 3; h = v + 2; v = m + 5. If b = 4, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 16 to g, which gives g = c + 22.\n2. Substitute c = r + 14 to g, which gives g = r + 36.\n3. Substitute r = l + 9 to g, which gives g = l + 45.\n4. Substitute l = a + 18 to g, which gives g = a + 63.\n5. Substitute a = b + 3 to g, which gives g = b + 66.\n6. Substitute b = 4 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 5908,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 11; r = l + 9; l = a + 18; b = 4; a = b + 3; c = r + 14; w = b + 5; i = w + 16; y = c + 16; g = y + 6; u = h + 3; h = v + 2; v = m + 5. If b = 4, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 4", "x": "n + 18", "l": "x + 15", "z": "l + 3", "g": "z + 4", "o": "g + 4", "s": "j + 17", "a": "s + 15", "e": "a + 10", "w": "e + 13", "p": "w + 17", "v": "p + 18", "j": 18}, "premises": {"j": 18}, "target": "o"}, "answer": {"steps": [["g", "z + 4", "z + 8"], ["z", "l + 3", "l + 11"], ["l", "x + 15", "x + 26"], ["x", "n + 18", "n + 44"], ["n", "j + 4", "j + 48"], ["j", 18, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"j": 18}, "is_reverse": true}} | 5,909 | 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 = a + 10; p = w + 17; w = e + 13; l = x + 15; a = s + 15; z = l + 3; g = z + 4; v = p + 18; o = g + 4; j = 18; x = n + 18; n = j + 4; s = j + 17. If j = 18, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 4 to o, which gives o = z + 8.\n2. Substitute z = l + 3 to o, which gives o = l + 11.\n3. Substitute l = x + 15 to o, which gives o = x + 26.\n4. Substitute x = n + 18 to o, which gives o = n + 44.\n5. Substitute n = j + 4 to o, which gives o = j + 48.\n6. Substitute j = 18 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 5909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 10; p = w + 17; w = e + 13; l = x + 15; a = s + 15; z = l + 3; g = z + 4; v = p + 18; o = g + 4; j = 18; x = n + 18; n = j + 4; s = j + 17. If j = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 1", "d": "o + 15", "b": "d + 19", "f": "b + 5", "q": "f + 4", "l": "q + 17", "w": "n + 18", "v": "w + 3", "h": "v + 20", "t": "h + 11", "r": "t + 16", "x": "r + 5", "n": 2}, "premises": {"n": 2}, "target": "l"}, "answer": {"steps": [["q", "f + 4", "f + 21"], ["f", "b + 5", "b + 26"], ["b", "d + 19", "d + 45"], ["d", "o + 15", "o + 60"], ["o", "n + 1", "n + 61"], ["n", 2, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"n": 2}, "is_reverse": true}} | 5,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 19; n = 2; d = o + 15; q = f + 4; v = w + 3; f = b + 5; h = v + 20; o = n + 1; x = r + 5; t = h + 11; w = n + 18; r = t + 16; l = q + 17. If n = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 4 to l, which gives l = f + 21.\n2. Substitute f = b + 5 to l, which gives l = b + 26.\n3. Substitute b = d + 19 to l, which gives l = d + 45.\n4. Substitute d = o + 15 to l, which gives l = o + 60.\n5. Substitute o = n + 1 to l, which gives l = n + 61.\n6. Substitute n = 2 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 5910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 19; n = 2; d = o + 15; q = f + 4; v = w + 3; f = b + 5; h = v + 20; o = n + 1; x = r + 5; t = h + 11; w = n + 18; r = t + 16; l = q + 17. If n = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 2", "y": "g + 8", "h": "y + 7", "s": "h + 4", "c": "s + 10", "r": "c + 16", "l": "o + 14", "i": "l + 13", "n": "i + 16", "w": "n + 13", "z": "w + 18", "k": "z + 12", "o": 7}, "premises": {"o": 7}, "target": "r"}, "answer": {"steps": [["c", "s + 10", "s + 26"], ["s", "h + 4", "h + 30"], ["h", "y + 7", "y + 37"], ["y", "g + 8", "g + 45"], ["g", "o + 2", "o + 47"], ["o", 7, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"o": 7}, "is_reverse": true}} | 5,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 12; y = g + 8; n = i + 16; w = n + 13; g = o + 2; r = c + 16; o = 7; h = y + 7; s = h + 4; l = o + 14; i = l + 13; z = w + 18; c = s + 10. If o = 7, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 10 to r, which gives r = s + 26.\n2. Substitute s = h + 4 to r, which gives r = h + 30.\n3. Substitute h = y + 7 to r, which gives r = y + 37.\n4. Substitute y = g + 8 to r, which gives r = g + 45.\n5. Substitute g = o + 2 to r, which gives r = o + 47.\n6. Substitute o = 7 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 5911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 12; y = g + 8; n = i + 16; w = n + 13; g = o + 2; r = c + 16; o = 7; h = y + 7; s = h + 4; l = o + 14; i = l + 13; z = w + 18; c = s + 10. If o = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 4", "j": "q + 15", "n": "j + 5", "p": "n + 13", "e": "p + 1", "h": "e + 6", "c": "k + 7", "v": "c + 11", "i": "v + 19", "l": "i + 2", "w": "l + 7", "x": "w + 2", "k": 6}, "premises": {"k": 6}, "target": "h"}, "answer": {"steps": [["e", "p + 1", "p + 7"], ["p", "n + 13", "n + 20"], ["n", "j + 5", "j + 25"], ["j", "q + 15", "q + 40"], ["q", "k + 4", "k + 44"], ["k", 6, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"k": 6}, "is_reverse": true}} | 5,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 15; n = j + 5; x = w + 2; v = c + 11; p = n + 13; c = k + 7; q = k + 4; e = p + 1; l = i + 2; k = 6; h = e + 6; i = v + 19; w = l + 7. If k = 6, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 1 to h, which gives h = p + 7.\n2. Substitute p = n + 13 to h, which gives h = n + 20.\n3. Substitute n = j + 5 to h, which gives h = j + 25.\n4. Substitute j = q + 15 to h, which gives h = q + 40.\n5. Substitute q = k + 4 to h, which gives h = k + 44.\n6. Substitute k = 6 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 5912,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 15; n = j + 5; x = w + 2; v = c + 11; p = n + 13; c = k + 7; q = k + 4; e = p + 1; l = i + 2; k = 6; h = e + 6; i = v + 19; w = l + 7. If k = 6, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 17", "u": "g + 1", "a": "u + 16", "q": "a + 1", "j": "q + 10", "y": "j + 13", "w": "f + 15", "c": "w + 16", "r": "c + 6", "h": "r + 7", "o": "h + 20", "x": "o + 5", "f": 8}, "premises": {"f": 8}, "target": "y"}, "answer": {"steps": [["j", "q + 10", "q + 23"], ["q", "a + 1", "a + 24"], ["a", "u + 16", "u + 40"], ["u", "g + 1", "g + 41"], ["g", "f + 17", "f + 58"], ["f", 8, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"f": 8}, "is_reverse": true}} | 5,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 10; w = f + 15; c = w + 16; q = a + 1; u = g + 1; a = u + 16; x = o + 5; y = j + 13; g = f + 17; h = r + 7; f = 8; o = h + 20; r = c + 6. If f = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 10 to y, which gives y = q + 23.\n2. Substitute q = a + 1 to y, which gives y = a + 24.\n3. Substitute a = u + 16 to y, which gives y = u + 40.\n4. Substitute u = g + 1 to y, which gives y = g + 41.\n5. Substitute g = f + 17 to y, which gives y = f + 58.\n6. Substitute f = 8 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 5913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 10; w = f + 15; c = w + 16; q = a + 1; u = g + 1; a = u + 16; x = o + 5; y = j + 13; g = f + 17; h = r + 7; f = 8; o = h + 20; r = c + 6. If f = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 1", "k": "m + 20", "p": "k + 12", "c": "p + 15", "y": "c + 13", "g": "y + 10", "r": "a + 12", "v": "r + 15", "l": "v + 9", "e": "l + 2", "f": "e + 10", "o": "f + 8", "a": 12}, "premises": {"a": 12}, "target": "g"}, "answer": {"steps": [["y", "c + 13", "c + 23"], ["c", "p + 15", "p + 38"], ["p", "k + 12", "k + 50"], ["k", "m + 20", "m + 70"], ["m", "a + 1", "a + 71"], ["a", 12, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"a": 12}, "is_reverse": true}} | 5,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 8; r = a + 12; l = v + 9; g = y + 10; y = c + 13; a = 12; k = m + 20; c = p + 15; e = l + 2; f = e + 10; p = k + 12; v = r + 15; m = a + 1. Given that a = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 13 to g, which gives g = c + 23.\n2. Substitute c = p + 15 to g, which gives g = p + 38.\n3. Substitute p = k + 12 to g, which gives g = k + 50.\n4. Substitute k = m + 20 to g, which gives g = m + 70.\n5. Substitute m = a + 1 to g, which gives g = a + 71.\n6. Substitute a = 12 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 5914,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 8; r = a + 12; l = v + 9; g = y + 10; y = c + 13; a = 12; k = m + 20; c = p + 15; e = l + 2; f = e + 10; p = k + 12; v = r + 15; m = a + 1. Given that a = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 11", "i": "u + 2", "l": "i + 7", "w": "l + 13", "y": "w + 19", "o": "y + 20", "e": "f + 7", "d": "e + 6", "m": "d + 12", "h": "m + 5", "b": "h + 13", "r": "b + 18", "f": 13}, "premises": {"f": 13}, "target": "o"}, "answer": {"steps": [["y", "w + 19", "w + 39"], ["w", "l + 13", "l + 52"], ["l", "i + 7", "i + 59"], ["i", "u + 2", "u + 61"], ["u", "f + 11", "f + 72"], ["f", 13, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"f": 13}, "is_reverse": true}} | 5,915 | 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 = y + 20; d = e + 6; u = f + 11; m = d + 12; l = i + 7; i = u + 2; b = h + 13; w = l + 13; r = b + 18; h = m + 5; f = 13; y = w + 19; e = f + 7. If f = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 19 to o, which gives o = w + 39.\n2. Substitute w = l + 13 to o, which gives o = l + 52.\n3. Substitute l = i + 7 to o, which gives o = i + 59.\n4. Substitute i = u + 2 to o, which gives o = u + 61.\n5. Substitute u = f + 11 to o, which gives o = f + 72.\n6. Substitute f = 13 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 5915,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 20; d = e + 6; u = f + 11; m = d + 12; l = i + 7; i = u + 2; b = h + 13; w = l + 13; r = b + 18; h = m + 5; f = 13; y = w + 19; e = f + 7. If f = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 18", "e": "q + 11", "p": "e + 1", "r": "p + 13", "b": "r + 17", "n": "b + 1", "h": "v + 17", "k": "h + 19", "c": "k + 3", "s": "c + 13", "u": "s + 9", "x": "u + 13", "v": 16}, "premises": {"v": 16}, "target": "n"}, "answer": {"steps": [["b", "r + 17", "r + 18"], ["r", "p + 13", "p + 31"], ["p", "e + 1", "e + 32"], ["e", "q + 11", "q + 43"], ["q", "v + 18", "v + 61"], ["v", 16, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"v": 16}, "is_reverse": true}} | 5,916 | 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 + 1; q = v + 18; r = p + 13; k = h + 19; x = u + 13; h = v + 17; p = e + 1; u = s + 9; c = k + 3; s = c + 13; b = r + 17; e = q + 11; v = 16. If v = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 17 to n, which gives n = r + 18.\n2. Substitute r = p + 13 to n, which gives n = p + 31.\n3. Substitute p = e + 1 to n, which gives n = e + 32.\n4. Substitute e = q + 11 to n, which gives n = q + 43.\n5. Substitute q = v + 18 to n, which gives n = v + 61.\n6. Substitute v = 16 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 5916,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 1; q = v + 18; r = p + 13; k = h + 19; x = u + 13; h = v + 17; p = e + 1; u = s + 9; c = k + 3; s = c + 13; b = r + 17; e = q + 11; v = 16. If v = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 4", "h": "b + 19", "v": "h + 10", "w": "v + 16", "q": "w + 12", "j": "q + 17", "o": "l + 10", "p": "o + 7", "k": "p + 13", "n": "k + 14", "e": "n + 1", "a": "e + 5", "l": 19}, "premises": {"l": 19}, "target": "j"}, "answer": {"steps": [["q", "w + 12", "w + 29"], ["w", "v + 16", "v + 45"], ["v", "h + 10", "h + 55"], ["h", "b + 19", "b + 74"], ["b", "l + 4", "l + 78"], ["l", 19, "97"]], "target_var_name": "j", "target_value": 97, "value_dict": {"l": 19}, "is_reverse": true}} | 5,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 5; n = k + 14; k = p + 13; l = 19; o = l + 10; j = q + 17; v = h + 10; h = b + 19; b = l + 4; e = n + 1; p = o + 7; q = w + 12; w = v + 16. If l = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 12 to j, which gives j = w + 29.\n2. Substitute w = v + 16 to j, which gives j = v + 45.\n3. Substitute v = h + 10 to j, which gives j = h + 55.\n4. Substitute h = b + 19 to j, which gives j = b + 74.\n5. Substitute b = l + 4 to j, which gives j = l + 78.\n6. Substitute l = 19 to j, which gives j = 97.\n\nThus, the final answer is j = \\boxed{97}.",
"index": 5917,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 5; n = k + 14; k = p + 13; l = 19; o = l + 10; j = q + 17; v = h + 10; h = b + 19; b = l + 4; e = n + 1; p = o + 7; q = w + 12; w = v + 16. If l = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 15", "y": "e + 16", "s": "y + 14", "b": "s + 1", "g": "b + 6", "p": "g + 10", "z": "t + 3", "i": "z + 2", "w": "i + 2", "k": "w + 2", "u": "k + 16", "o": "u + 13", "t": 5}, "premises": {"t": 5}, "target": "p"}, "answer": {"steps": [["g", "b + 6", "b + 16"], ["b", "s + 1", "s + 17"], ["s", "y + 14", "y + 31"], ["y", "e + 16", "e + 47"], ["e", "t + 15", "t + 62"], ["t", 5, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"t": 5}, "is_reverse": true}} | 5,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 2; w = i + 2; i = z + 2; p = g + 10; y = e + 16; s = y + 14; e = t + 15; z = t + 3; t = 5; g = b + 6; o = u + 13; u = k + 16; b = s + 1. Given that t = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 6 to p, which gives p = b + 16.\n2. Substitute b = s + 1 to p, which gives p = s + 17.\n3. Substitute s = y + 14 to p, which gives p = y + 31.\n4. Substitute y = e + 16 to p, which gives p = e + 47.\n5. Substitute e = t + 15 to p, which gives p = t + 62.\n6. Substitute t = 5 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 5918,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 2; w = i + 2; i = z + 2; p = g + 10; y = e + 16; s = y + 14; e = t + 15; z = t + 3; t = 5; g = b + 6; o = u + 13; u = k + 16; b = s + 1. Given that t = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 16", "d": "w + 5", "m": "d + 1", "c": "m + 15", "e": "c + 11", "q": "e + 15", "h": "a + 2", "v": "h + 2", "g": "v + 1", "j": "g + 3", "i": "j + 14", "l": "i + 9", "a": 3}, "premises": {"a": 3}, "target": "q"}, "answer": {"steps": [["e", "c + 11", "c + 26"], ["c", "m + 15", "m + 41"], ["m", "d + 1", "d + 42"], ["d", "w + 5", "w + 47"], ["w", "a + 16", "a + 63"], ["a", 3, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"a": 3}, "is_reverse": true}} | 5,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = e + 15; g = v + 1; l = i + 9; e = c + 11; d = w + 5; i = j + 14; h = a + 2; w = a + 16; v = h + 2; a = 3; j = g + 3; c = m + 15; m = d + 1. Given that a = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 11 to q, which gives q = c + 26.\n2. Substitute c = m + 15 to q, which gives q = m + 41.\n3. Substitute m = d + 1 to q, which gives q = d + 42.\n4. Substitute d = w + 5 to q, which gives q = w + 47.\n5. Substitute w = a + 16 to q, which gives q = a + 63.\n6. Substitute a = 3 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 5919,
"question": "Suppose a collection of variables is related by the following definitions: q = e + 15; g = v + 1; l = i + 9; e = c + 11; d = w + 5; i = j + 14; h = a + 2; w = a + 16; v = h + 2; a = 3; j = g + 3; c = m + 15; m = d + 1. Given that a = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 8", "j": "g + 18", "p": "j + 2", "k": "p + 11", "e": "k + 11", "h": "e + 3", "v": "d + 5", "i": "v + 6", "n": "i + 13", "b": "n + 8", "s": "b + 9", "q": "s + 6", "d": 4}, "premises": {"d": 4}, "target": "h"}, "answer": {"steps": [["e", "k + 11", "k + 14"], ["k", "p + 11", "p + 25"], ["p", "j + 2", "j + 27"], ["j", "g + 18", "g + 45"], ["g", "d + 8", "d + 53"], ["d", 4, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"d": 4}, "is_reverse": true}} | 5,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 3; j = g + 18; s = b + 9; e = k + 11; d = 4; v = d + 5; i = v + 6; b = n + 8; p = j + 2; k = p + 11; q = s + 6; g = d + 8; n = i + 13. Given that d = 4, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 11 to h, which gives h = k + 14.\n2. Substitute k = p + 11 to h, which gives h = p + 25.\n3. Substitute p = j + 2 to h, which gives h = j + 27.\n4. Substitute j = g + 18 to h, which gives h = g + 45.\n5. Substitute g = d + 8 to h, which gives h = d + 53.\n6. Substitute d = 4 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 5920,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 3; j = g + 18; s = b + 9; e = k + 11; d = 4; v = d + 5; i = v + 6; b = n + 8; p = j + 2; k = p + 11; q = s + 6; g = d + 8; n = i + 13. Given that d = 4, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 18", "j": "y + 5", "m": "j + 10", "n": "m + 15", "x": "n + 19", "s": "x + 7", "a": "c + 10", "b": "a + 14", "g": "b + 5", "d": "g + 15", "k": "d + 11", "h": "k + 3", "c": 13}, "premises": {"c": 13}, "target": "s"}, "answer": {"steps": [["x", "n + 19", "n + 26"], ["n", "m + 15", "m + 41"], ["m", "j + 10", "j + 51"], ["j", "y + 5", "y + 56"], ["y", "c + 18", "c + 74"], ["c", 13, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"c": 13}, "is_reverse": true}} | 5,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 15; j = y + 5; a = c + 10; y = c + 18; m = j + 10; c = 13; n = m + 15; x = n + 19; b = a + 14; g = b + 5; s = x + 7; k = d + 11; h = k + 3. Given that c = 13, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 19 to s, which gives s = n + 26.\n2. Substitute n = m + 15 to s, which gives s = m + 41.\n3. Substitute m = j + 10 to s, which gives s = j + 51.\n4. Substitute j = y + 5 to s, which gives s = y + 56.\n5. Substitute y = c + 18 to s, which gives s = c + 74.\n6. Substitute c = 13 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 5921,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 15; j = y + 5; a = c + 10; y = c + 18; m = j + 10; c = 13; n = m + 15; x = n + 19; b = a + 14; g = b + 5; s = x + 7; k = d + 11; h = k + 3. Given that c = 13, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 10", "o": "h + 15", "z": "o + 20", "n": "z + 12", "e": "n + 13", "x": "e + 13", "k": "c + 16", "l": "k + 15", "u": "l + 1", "f": "u + 16", "r": "f + 9", "t": "r + 20", "c": 12}, "premises": {"c": 12}, "target": "x"}, "answer": {"steps": [["e", "n + 13", "n + 26"], ["n", "z + 12", "z + 38"], ["z", "o + 20", "o + 58"], ["o", "h + 15", "h + 73"], ["h", "c + 10", "c + 83"], ["c", 12, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"c": 12}, "is_reverse": true}} | 5,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = l + 1; e = n + 13; n = z + 12; x = e + 13; f = u + 16; t = r + 20; c = 12; z = o + 20; r = f + 9; k = c + 16; l = k + 15; h = c + 10; o = h + 15. Given that c = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 13 to x, which gives x = n + 26.\n2. Substitute n = z + 12 to x, which gives x = z + 38.\n3. Substitute z = o + 20 to x, which gives x = o + 58.\n4. Substitute o = h + 15 to x, which gives x = h + 73.\n5. Substitute h = c + 10 to x, which gives x = c + 83.\n6. Substitute c = 12 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 5922,
"question": "Suppose a collection of variables is related by the following definitions: u = l + 1; e = n + 13; n = z + 12; x = e + 13; f = u + 16; t = r + 20; c = 12; z = o + 20; r = f + 9; k = c + 16; l = k + 15; h = c + 10; o = h + 15. Given that c = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 15", "x": "w + 5", "d": "x + 9", "a": "d + 19", "q": "a + 19", "p": "q + 17", "v": "y + 9", "c": "v + 1", "t": "c + 19", "i": "t + 10", "h": "i + 9", "j": "h + 11", "y": 4}, "premises": {"y": 4}, "target": "p"}, "answer": {"steps": [["q", "a + 19", "a + 36"], ["a", "d + 19", "d + 55"], ["d", "x + 9", "x + 64"], ["x", "w + 5", "w + 69"], ["w", "y + 15", "y + 84"], ["y", 4, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"y": 4}, "is_reverse": true}} | 5,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 5; p = q + 17; i = t + 10; q = a + 19; v = y + 9; y = 4; c = v + 1; j = h + 11; w = y + 15; d = x + 9; t = c + 19; h = i + 9; a = d + 19. If y = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 19 to p, which gives p = a + 36.\n2. Substitute a = d + 19 to p, which gives p = d + 55.\n3. Substitute d = x + 9 to p, which gives p = x + 64.\n4. Substitute x = w + 5 to p, which gives p = w + 69.\n5. Substitute w = y + 15 to p, which gives p = y + 84.\n6. Substitute y = 4 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 5923,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 5; p = q + 17; i = t + 10; q = a + 19; v = y + 9; y = 4; c = v + 1; j = h + 11; w = y + 15; d = x + 9; t = c + 19; h = i + 9; a = d + 19. If y = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 10", "y": "z + 1", "n": "y + 6", "p": "n + 16", "u": "p + 10", "t": "u + 8", "b": "f + 8", "s": "b + 7", "j": "s + 2", "m": "j + 13", "q": "m + 4", "o": "q + 20", "f": 10}, "premises": {"f": 10}, "target": "t"}, "answer": {"steps": [["u", "p + 10", "p + 18"], ["p", "n + 16", "n + 34"], ["n", "y + 6", "y + 40"], ["y", "z + 1", "z + 41"], ["z", "f + 10", "f + 51"], ["f", 10, "61"]], "target_var_name": "t", "target_value": 61, "value_dict": {"f": 10}, "is_reverse": true}} | 5,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 8; p = n + 16; o = q + 20; z = f + 10; q = m + 4; m = j + 13; n = y + 6; u = p + 10; s = b + 7; y = z + 1; t = u + 8; f = 10; j = s + 2. Given that f = 10, find the value of t.",
"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 + 10 to t, which gives t = p + 18.\n2. Substitute p = n + 16 to t, which gives t = n + 34.\n3. Substitute n = y + 6 to t, which gives t = y + 40.\n4. Substitute y = z + 1 to t, which gives t = z + 41.\n5. Substitute z = f + 10 to t, which gives t = f + 51.\n6. Substitute f = 10 to t, which gives t = 61.\n\nThus, the final answer is t = \\boxed{61}.",
"index": 5924,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 8; p = n + 16; o = q + 20; z = f + 10; q = m + 4; m = j + 13; n = y + 6; u = p + 10; s = b + 7; y = z + 1; t = u + 8; f = 10; j = s + 2. Given that f = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 5", "g": "k + 20", "x": "g + 11", "v": "x + 1", "a": "v + 20", "n": "a + 3", "e": "f + 11", "u": "e + 5", "t": "u + 13", "z": "t + 17", "l": "z + 5", "h": "l + 6", "f": 15}, "premises": {"f": 15}, "target": "n"}, "answer": {"steps": [["a", "v + 20", "v + 23"], ["v", "x + 1", "x + 24"], ["x", "g + 11", "g + 35"], ["g", "k + 20", "k + 55"], ["k", "f + 5", "f + 60"], ["f", 15, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"f": 15}, "is_reverse": true}} | 5,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 15; e = f + 11; k = f + 5; l = z + 5; v = x + 1; a = v + 20; t = u + 13; z = t + 17; h = l + 6; x = g + 11; u = e + 5; n = a + 3; g = k + 20. Given that f = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 20 to n, which gives n = v + 23.\n2. Substitute v = x + 1 to n, which gives n = x + 24.\n3. Substitute x = g + 11 to n, which gives n = g + 35.\n4. Substitute g = k + 20 to n, which gives n = k + 55.\n5. Substitute k = f + 5 to n, which gives n = f + 60.\n6. Substitute f = 15 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 5925,
"question": "Suppose a collection of variables is related by the following definitions: f = 15; e = f + 11; k = f + 5; l = z + 5; v = x + 1; a = v + 20; t = u + 13; z = t + 17; h = l + 6; x = g + 11; u = e + 5; n = a + 3; g = k + 20. Given that f = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 2", "q": "k + 12", "i": "q + 4", "v": "i + 5", "y": "v + 12", "g": "y + 2", "t": "j + 9", "z": "t + 10", "p": "z + 7", "l": "p + 3", "w": "l + 18", "m": "w + 8", "j": 2}, "premises": {"j": 2}, "target": "g"}, "answer": {"steps": [["y", "v + 12", "v + 14"], ["v", "i + 5", "i + 19"], ["i", "q + 4", "q + 23"], ["q", "k + 12", "k + 35"], ["k", "j + 2", "j + 37"], ["j", 2, "39"]], "target_var_name": "g", "target_value": 39, "value_dict": {"j": 2}, "is_reverse": true}} | 5,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = j + 2; i = q + 4; l = p + 3; g = y + 2; t = j + 9; q = k + 12; z = t + 10; j = 2; y = v + 12; w = l + 18; v = i + 5; m = w + 8; p = z + 7. Given that j = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 12 to g, which gives g = v + 14.\n2. Substitute v = i + 5 to g, which gives g = i + 19.\n3. Substitute i = q + 4 to g, which gives g = q + 23.\n4. Substitute q = k + 12 to g, which gives g = k + 35.\n5. Substitute k = j + 2 to g, which gives g = j + 37.\n6. Substitute j = 2 to g, which gives g = 39.\n\nThus, the final answer is g = \\boxed{39}.",
"index": 5926,
"question": "Suppose a collection of variables is related by the following definitions: k = j + 2; i = q + 4; l = p + 3; g = y + 2; t = j + 9; q = k + 12; z = t + 10; j = 2; y = v + 12; w = l + 18; v = i + 5; m = w + 8; p = z + 7. Given that j = 2, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 18", "o": "z + 2", "s": "o + 13", "m": "s + 7", "e": "m + 10", "g": "e + 7", "n": "q + 3", "d": "n + 13", "f": "d + 12", "y": "f + 11", "x": "y + 10", "k": "x + 3", "q": 19}, "premises": {"q": 19}, "target": "g"}, "answer": {"steps": [["e", "m + 10", "m + 17"], ["m", "s + 7", "s + 24"], ["s", "o + 13", "o + 37"], ["o", "z + 2", "z + 39"], ["z", "q + 18", "q + 57"], ["q", 19, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"q": 19}, "is_reverse": true}} | 5,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 10; y = f + 11; x = y + 10; d = n + 13; f = d + 12; m = s + 7; s = o + 13; g = e + 7; o = z + 2; z = q + 18; n = q + 3; q = 19; k = x + 3. If q = 19, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 10 to g, which gives g = m + 17.\n2. Substitute m = s + 7 to g, which gives g = s + 24.\n3. Substitute s = o + 13 to g, which gives g = o + 37.\n4. Substitute o = z + 2 to g, which gives g = z + 39.\n5. Substitute z = q + 18 to g, which gives g = q + 57.\n6. Substitute q = 19 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 5927,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 10; y = f + 11; x = y + 10; d = n + 13; f = d + 12; m = s + 7; s = o + 13; g = e + 7; o = z + 2; z = q + 18; n = q + 3; q = 19; k = x + 3. If q = 19, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 18", "p": "s + 17", "b": "p + 18", "d": "b + 14", "x": "d + 3", "h": "x + 10", "z": "u + 6", "a": "z + 2", "l": "a + 16", "v": "l + 19", "k": "v + 16", "n": "k + 9", "u": 2}, "premises": {"u": 2}, "target": "h"}, "answer": {"steps": [["x", "d + 3", "d + 13"], ["d", "b + 14", "b + 27"], ["b", "p + 18", "p + 45"], ["p", "s + 17", "s + 62"], ["s", "u + 18", "u + 80"], ["u", 2, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"u": 2}, "is_reverse": true}} | 5,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 19; a = z + 2; d = b + 14; l = a + 16; n = k + 9; s = u + 18; u = 2; k = v + 16; b = p + 18; x = d + 3; z = u + 6; h = x + 10; p = s + 17. If u = 2, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 3 to h, which gives h = d + 13.\n2. Substitute d = b + 14 to h, which gives h = b + 27.\n3. Substitute b = p + 18 to h, which gives h = p + 45.\n4. Substitute p = s + 17 to h, which gives h = s + 62.\n5. Substitute s = u + 18 to h, which gives h = u + 80.\n6. Substitute u = 2 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 5928,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 19; a = z + 2; d = b + 14; l = a + 16; n = k + 9; s = u + 18; u = 2; k = v + 16; b = p + 18; x = d + 3; z = u + 6; h = x + 10; p = s + 17. If u = 2, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 13", "y": "p + 17", "m": "y + 15", "e": "m + 1", "u": "e + 8", "h": "u + 15", "r": "d + 8", "a": "r + 18", "k": "a + 14", "t": "k + 1", "j": "t + 11", "z": "j + 2", "d": 5}, "premises": {"d": 5}, "target": "h"}, "answer": {"steps": [["u", "e + 8", "e + 23"], ["e", "m + 1", "m + 24"], ["m", "y + 15", "y + 39"], ["y", "p + 17", "p + 56"], ["p", "d + 13", "d + 69"], ["d", 5, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"d": 5}, "is_reverse": true}} | 5,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 8; h = u + 15; y = p + 17; z = j + 2; e = m + 1; k = a + 14; j = t + 11; u = e + 8; a = r + 18; t = k + 1; d = 5; m = y + 15; p = d + 13. Given that d = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 8 to h, which gives h = e + 23.\n2. Substitute e = m + 1 to h, which gives h = m + 24.\n3. Substitute m = y + 15 to h, which gives h = y + 39.\n4. Substitute y = p + 17 to h, which gives h = p + 56.\n5. Substitute p = d + 13 to h, which gives h = d + 69.\n6. Substitute d = 5 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 5929,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 8; h = u + 15; y = p + 17; z = j + 2; e = m + 1; k = a + 14; j = t + 11; u = e + 8; a = r + 18; t = k + 1; d = 5; m = y + 15; p = d + 13. Given that d = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 12", "i": "r + 10", "q": "i + 19", "m": "q + 4", "j": "m + 7", "k": "j + 6", "o": "t + 5", "e": "o + 20", "p": "e + 7", "l": "p + 5", "n": "l + 20", "a": "n + 5", "t": 20}, "premises": {"t": 20}, "target": "k"}, "answer": {"steps": [["j", "m + 7", "m + 13"], ["m", "q + 4", "q + 17"], ["q", "i + 19", "i + 36"], ["i", "r + 10", "r + 46"], ["r", "t + 12", "t + 58"], ["t", 20, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"t": 20}, "is_reverse": true}} | 5,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 20; m = q + 4; q = i + 19; t = 20; r = t + 12; i = r + 10; o = t + 5; p = e + 7; k = j + 6; a = n + 5; l = p + 5; e = o + 20; j = m + 7. Given that t = 20, find the 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 j = m + 7 to k, which gives k = m + 13.\n2. Substitute m = q + 4 to k, which gives k = q + 17.\n3. Substitute q = i + 19 to k, which gives k = i + 36.\n4. Substitute i = r + 10 to k, which gives k = r + 46.\n5. Substitute r = t + 12 to k, which gives k = t + 58.\n6. Substitute t = 20 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 5930,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 20; m = q + 4; q = i + 19; t = 20; r = t + 12; i = r + 10; o = t + 5; p = e + 7; k = j + 6; a = n + 5; l = p + 5; e = o + 20; j = m + 7. Given that t = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 10", "q": "l + 15", "a": "q + 16", "u": "a + 17", "n": "u + 17", "o": "n + 20", "g": "b + 10", "x": "g + 13", "m": "x + 2", "t": "m + 20", "y": "t + 10", "h": "y + 15", "b": 5}, "premises": {"b": 5}, "target": "o"}, "answer": {"steps": [["n", "u + 17", "u + 37"], ["u", "a + 17", "a + 54"], ["a", "q + 16", "q + 70"], ["q", "l + 15", "l + 85"], ["l", "b + 10", "b + 95"], ["b", 5, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"b": 5}, "is_reverse": true}} | 5,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 10; y = t + 10; l = b + 10; q = l + 15; m = x + 2; h = y + 15; t = m + 20; u = a + 17; b = 5; a = q + 16; x = g + 13; n = u + 17; o = n + 20. If b = 5, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 17 to o, which gives o = u + 37.\n2. Substitute u = a + 17 to o, which gives o = a + 54.\n3. Substitute a = q + 16 to o, which gives o = q + 70.\n4. Substitute q = l + 15 to o, which gives o = l + 85.\n5. Substitute l = b + 10 to o, which gives o = b + 95.\n6. Substitute b = 5 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 5931,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 10; y = t + 10; l = b + 10; q = l + 15; m = x + 2; h = y + 15; t = m + 20; u = a + 17; b = 5; a = q + 16; x = g + 13; n = u + 17; o = n + 20. If b = 5, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 20", "f": "m + 15", "d": "f + 12", "k": "d + 5", "q": "k + 19", "v": "q + 11", "t": "s + 15", "j": "t + 8", "h": "j + 6", "n": "h + 17", "e": "n + 11", "b": "e + 4", "s": 15}, "premises": {"s": 15}, "target": "v"}, "answer": {"steps": [["q", "k + 19", "k + 30"], ["k", "d + 5", "d + 35"], ["d", "f + 12", "f + 47"], ["f", "m + 15", "m + 62"], ["m", "s + 20", "s + 82"], ["s", 15, "97"]], "target_var_name": "v", "target_value": 97, "value_dict": {"s": 15}, "is_reverse": true}} | 5,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 19; b = e + 4; h = j + 6; t = s + 15; k = d + 5; e = n + 11; d = f + 12; j = t + 8; v = q + 11; m = s + 20; n = h + 17; s = 15; f = m + 15. Given that s = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 19 to v, which gives v = k + 30.\n2. Substitute k = d + 5 to v, which gives v = d + 35.\n3. Substitute d = f + 12 to v, which gives v = f + 47.\n4. Substitute f = m + 15 to v, which gives v = m + 62.\n5. Substitute m = s + 20 to v, which gives v = s + 82.\n6. Substitute s = 15 to v, which gives v = 97.\n\nThus, the final answer is v = \\boxed{97}.",
"index": 5932,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 19; b = e + 4; h = j + 6; t = s + 15; k = d + 5; e = n + 11; d = f + 12; j = t + 8; v = q + 11; m = s + 20; n = h + 17; s = 15; f = m + 15. Given that s = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 1", "n": "p + 18", "f": "n + 16", "b": "f + 7", "h": "b + 10", "c": "h + 7", "l": "i + 1", "u": "l + 8", "o": "u + 10", "e": "o + 13", "z": "e + 9", "a": "z + 12", "i": 7}, "premises": {"i": 7}, "target": "c"}, "answer": {"steps": [["h", "b + 10", "b + 17"], ["b", "f + 7", "f + 24"], ["f", "n + 16", "n + 40"], ["n", "p + 18", "p + 58"], ["p", "i + 1", "i + 59"], ["i", 7, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"i": 7}, "is_reverse": true}} | 5,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 12; c = h + 7; z = e + 9; f = n + 16; o = u + 10; p = i + 1; i = 7; h = b + 10; e = o + 13; u = l + 8; b = f + 7; l = i + 1; n = p + 18. Given that i = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 10 to c, which gives c = b + 17.\n2. Substitute b = f + 7 to c, which gives c = f + 24.\n3. Substitute f = n + 16 to c, which gives c = n + 40.\n4. Substitute n = p + 18 to c, which gives c = p + 58.\n5. Substitute p = i + 1 to c, which gives c = i + 59.\n6. Substitute i = 7 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 5933,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 12; c = h + 7; z = e + 9; f = n + 16; o = u + 10; p = i + 1; i = 7; h = b + 10; e = o + 13; u = l + 8; b = f + 7; l = i + 1; n = p + 18. Given that i = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 1", "f": "e + 12", "h": "f + 8", "b": "h + 5", "d": "b + 17", "c": "d + 4", "m": "u + 5", "l": "m + 8", "v": "l + 1", "k": "v + 2", "w": "k + 5", "g": "w + 5", "u": 18}, "premises": {"u": 18}, "target": "c"}, "answer": {"steps": [["d", "b + 17", "b + 21"], ["b", "h + 5", "h + 26"], ["h", "f + 8", "f + 34"], ["f", "e + 12", "e + 46"], ["e", "u + 1", "u + 47"], ["u", 18, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"u": 18}, "is_reverse": true}} | 5,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = u + 5; u = 18; b = h + 5; k = v + 2; l = m + 8; c = d + 4; e = u + 1; h = f + 8; d = b + 17; g = w + 5; w = k + 5; v = l + 1; f = e + 12. If u = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 17 to c, which gives c = b + 21.\n2. Substitute b = h + 5 to c, which gives c = h + 26.\n3. Substitute h = f + 8 to c, which gives c = f + 34.\n4. Substitute f = e + 12 to c, which gives c = e + 46.\n5. Substitute e = u + 1 to c, which gives c = u + 47.\n6. Substitute u = 18 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 5934,
"question": "Consider a system of variables where each variable is defined as follows: m = u + 5; u = 18; b = h + 5; k = v + 2; l = m + 8; c = d + 4; e = u + 1; h = f + 8; d = b + 17; g = w + 5; w = k + 5; v = l + 1; f = e + 12. If u = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 10", "m": "r + 20", "h": "m + 1", "j": "h + 12", "v": "j + 6", "t": "v + 18", "l": "y + 10", "w": "l + 11", "n": "w + 17", "e": "n + 20", "x": "e + 1", "p": "x + 4", "y": 6}, "premises": {"y": 6}, "target": "t"}, "answer": {"steps": [["v", "j + 6", "j + 24"], ["j", "h + 12", "h + 36"], ["h", "m + 1", "m + 37"], ["m", "r + 20", "r + 57"], ["r", "y + 10", "y + 67"], ["y", 6, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"y": 6}, "is_reverse": true}} | 5,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 10; l = y + 10; e = n + 20; w = l + 11; t = v + 18; p = x + 4; j = h + 12; x = e + 1; v = j + 6; y = 6; n = w + 17; m = r + 20; h = m + 1. If y = 6, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 6 to t, which gives t = j + 24.\n2. Substitute j = h + 12 to t, which gives t = h + 36.\n3. Substitute h = m + 1 to t, which gives t = m + 37.\n4. Substitute m = r + 20 to t, which gives t = r + 57.\n5. Substitute r = y + 10 to t, which gives t = y + 67.\n6. Substitute y = 6 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 5935,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 10; l = y + 10; e = n + 20; w = l + 11; t = v + 18; p = x + 4; j = h + 12; x = e + 1; v = j + 6; y = 6; n = w + 17; m = r + 20; h = m + 1. If y = 6, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 6", "o": "p + 6", "i": "o + 8", "w": "i + 7", "e": "w + 10", "x": "e + 20", "a": "y + 13", "f": "a + 12", "z": "f + 8", "t": "z + 9", "n": "t + 3", "m": "n + 20", "y": 12}, "premises": {"y": 12}, "target": "x"}, "answer": {"steps": [["e", "w + 10", "w + 30"], ["w", "i + 7", "i + 37"], ["i", "o + 8", "o + 45"], ["o", "p + 6", "p + 51"], ["p", "y + 6", "y + 57"], ["y", 12, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"y": 12}, "is_reverse": true}} | 5,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 13; o = p + 6; i = o + 8; t = z + 9; f = a + 12; z = f + 8; e = w + 10; p = y + 6; y = 12; w = i + 7; x = e + 20; n = t + 3; m = n + 20. If y = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 10 to x, which gives x = w + 30.\n2. Substitute w = i + 7 to x, which gives x = i + 37.\n3. Substitute i = o + 8 to x, which gives x = o + 45.\n4. Substitute o = p + 6 to x, which gives x = p + 51.\n5. Substitute p = y + 6 to x, which gives x = y + 57.\n6. Substitute y = 12 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 5936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 13; o = p + 6; i = o + 8; t = z + 9; f = a + 12; z = f + 8; e = w + 10; p = y + 6; y = 12; w = i + 7; x = e + 20; n = t + 3; m = n + 20. If y = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 1", "d": "p + 19", "q": "d + 5", "b": "q + 6", "v": "b + 9", "t": "v + 20", "h": "e + 12", "g": "h + 1", "r": "g + 3", "k": "r + 4", "l": "k + 5", "n": "l + 9", "e": 11}, "premises": {"e": 11}, "target": "t"}, "answer": {"steps": [["v", "b + 9", "b + 29"], ["b", "q + 6", "q + 35"], ["q", "d + 5", "d + 40"], ["d", "p + 19", "p + 59"], ["p", "e + 1", "e + 60"], ["e", 11, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"e": 11}, "is_reverse": true}} | 5,937 | 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 = p + 19; t = v + 20; n = l + 9; h = e + 12; b = q + 6; r = g + 3; p = e + 1; v = b + 9; l = k + 5; q = d + 5; e = 11; k = r + 4; g = h + 1. If e = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 9 to t, which gives t = b + 29.\n2. Substitute b = q + 6 to t, which gives t = q + 35.\n3. Substitute q = d + 5 to t, which gives t = d + 40.\n4. Substitute d = p + 19 to t, which gives t = p + 59.\n5. Substitute p = e + 1 to t, which gives t = e + 60.\n6. Substitute e = 11 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 5937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 19; t = v + 20; n = l + 9; h = e + 12; b = q + 6; r = g + 3; p = e + 1; v = b + 9; l = k + 5; q = d + 5; e = 11; k = r + 4; g = h + 1. If e = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 9", "t": "u + 3", "h": "t + 11", "b": "h + 12", "j": "b + 11", "g": "j + 13", "f": "k + 18", "d": "f + 4", "m": "d + 15", "o": "m + 1", "n": "o + 18", "i": "n + 7", "k": 2}, "premises": {"k": 2}, "target": "g"}, "answer": {"steps": [["j", "b + 11", "b + 24"], ["b", "h + 12", "h + 36"], ["h", "t + 11", "t + 47"], ["t", "u + 3", "u + 50"], ["u", "k + 9", "k + 59"], ["k", 2, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"k": 2}, "is_reverse": true}} | 5,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 2; u = k + 9; o = m + 1; m = d + 15; n = o + 18; h = t + 11; j = b + 11; d = f + 4; f = k + 18; i = n + 7; b = h + 12; g = j + 13; t = u + 3. If k = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 11 to g, which gives g = b + 24.\n2. Substitute b = h + 12 to g, which gives g = h + 36.\n3. Substitute h = t + 11 to g, which gives g = t + 47.\n4. Substitute t = u + 3 to g, which gives g = u + 50.\n5. Substitute u = k + 9 to g, which gives g = k + 59.\n6. Substitute k = 2 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 5938,
"question": "Consider a system of variables where each variable is defined as follows: k = 2; u = k + 9; o = m + 1; m = d + 15; n = o + 18; h = t + 11; j = b + 11; d = f + 4; f = k + 18; i = n + 7; b = h + 12; g = j + 13; t = u + 3. If k = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 10", "t": "l + 20", "w": "t + 18", "o": "w + 12", "x": "o + 4", "c": "x + 7", "i": "f + 10", "d": "i + 1", "n": "d + 19", "r": "n + 1", "v": "r + 8", "z": "v + 12", "f": 16}, "premises": {"f": 16}, "target": "c"}, "answer": {"steps": [["x", "o + 4", "o + 11"], ["o", "w + 12", "w + 23"], ["w", "t + 18", "t + 41"], ["t", "l + 20", "l + 61"], ["l", "f + 10", "f + 71"], ["f", 16, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"f": 16}, "is_reverse": true}} | 5,939 | 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 = w + 12; l = f + 10; t = l + 20; x = o + 4; n = d + 19; c = x + 7; f = 16; w = t + 18; r = n + 1; d = i + 1; v = r + 8; i = f + 10; z = v + 12. If f = 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 x = o + 4 to c, which gives c = o + 11.\n2. Substitute o = w + 12 to c, which gives c = w + 23.\n3. Substitute w = t + 18 to c, which gives c = t + 41.\n4. Substitute t = l + 20 to c, which gives c = l + 61.\n5. Substitute l = f + 10 to c, which gives c = f + 71.\n6. Substitute f = 16 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 5939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 12; l = f + 10; t = l + 20; x = o + 4; n = d + 19; c = x + 7; f = 16; w = t + 18; r = n + 1; d = i + 1; v = r + 8; i = f + 10; z = v + 12. If f = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 17", "u": "f + 13", "x": "u + 15", "o": "x + 11", "g": "o + 17", "z": "g + 6", "c": "a + 12", "p": "c + 19", "v": "p + 19", "m": "v + 5", "k": "m + 12", "n": "k + 16", "a": 4}, "premises": {"a": 4}, "target": "z"}, "answer": {"steps": [["g", "o + 17", "o + 23"], ["o", "x + 11", "x + 34"], ["x", "u + 15", "u + 49"], ["u", "f + 13", "f + 62"], ["f", "a + 17", "a + 79"], ["a", 4, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"a": 4}, "is_reverse": true}} | 5,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 12; n = k + 16; u = f + 13; f = a + 17; v = p + 19; k = m + 12; o = x + 11; x = u + 15; m = v + 5; g = o + 17; p = c + 19; a = 4; z = g + 6. If a = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 17 to z, which gives z = o + 23.\n2. Substitute o = x + 11 to z, which gives z = x + 34.\n3. Substitute x = u + 15 to z, which gives z = u + 49.\n4. Substitute u = f + 13 to z, which gives z = f + 62.\n5. Substitute f = a + 17 to z, which gives z = a + 79.\n6. Substitute a = 4 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 5940,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 12; n = k + 16; u = f + 13; f = a + 17; v = p + 19; k = m + 12; o = x + 11; x = u + 15; m = v + 5; g = o + 17; p = c + 19; a = 4; z = g + 6. If a = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 10", "o": "j + 8", "b": "o + 15", "t": "b + 6", "h": "t + 11", "g": "h + 3", "w": "u + 10", "a": "w + 5", "p": "a + 12", "x": "p + 17", "s": "x + 16", "f": "s + 3", "u": 4}, "premises": {"u": 4}, "target": "g"}, "answer": {"steps": [["h", "t + 11", "t + 14"], ["t", "b + 6", "b + 20"], ["b", "o + 15", "o + 35"], ["o", "j + 8", "j + 43"], ["j", "u + 10", "u + 53"], ["u", 4, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"u": 4}, "is_reverse": true}} | 5,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 4; w = u + 10; s = x + 16; a = w + 5; p = a + 12; o = j + 8; t = b + 6; j = u + 10; h = t + 11; b = o + 15; g = h + 3; x = p + 17; f = s + 3. If u = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 11 to g, which gives g = t + 14.\n2. Substitute t = b + 6 to g, which gives g = b + 20.\n3. Substitute b = o + 15 to g, which gives g = o + 35.\n4. Substitute o = j + 8 to g, which gives g = j + 43.\n5. Substitute j = u + 10 to g, which gives g = u + 53.\n6. Substitute u = 4 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 5941,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 4; w = u + 10; s = x + 16; a = w + 5; p = a + 12; o = j + 8; t = b + 6; j = u + 10; h = t + 11; b = o + 15; g = h + 3; x = p + 17; f = s + 3. If u = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 4", "c": "o + 11", "g": "c + 17", "s": "g + 20", "z": "s + 11", "b": "z + 7", "t": "x + 1", "h": "t + 7", "i": "h + 7", "p": "i + 2", "j": "p + 18", "u": "j + 7", "x": 12}, "premises": {"x": 12}, "target": "b"}, "answer": {"steps": [["z", "s + 11", "s + 18"], ["s", "g + 20", "g + 38"], ["g", "c + 17", "c + 55"], ["c", "o + 11", "o + 66"], ["o", "x + 4", "x + 70"], ["x", 12, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"x": 12}, "is_reverse": true}} | 5,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 18; z = s + 11; i = h + 7; t = x + 1; s = g + 20; h = t + 7; x = 12; o = x + 4; b = z + 7; g = c + 17; c = o + 11; p = i + 2; u = j + 7. Given that x = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 11 to b, which gives b = s + 18.\n2. Substitute s = g + 20 to b, which gives b = g + 38.\n3. Substitute g = c + 17 to b, which gives b = c + 55.\n4. Substitute c = o + 11 to b, which gives b = o + 66.\n5. Substitute o = x + 4 to b, which gives b = x + 70.\n6. Substitute x = 12 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 5942,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 18; z = s + 11; i = h + 7; t = x + 1; s = g + 20; h = t + 7; x = 12; o = x + 4; b = z + 7; g = c + 17; c = o + 11; p = i + 2; u = j + 7. Given that x = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 17", "d": "j + 10", "f": "d + 7", "q": "f + 14", "c": "q + 2", "y": "c + 3", "x": "h + 15", "t": "x + 19", "m": "t + 11", "l": "m + 7", "z": "l + 20", "i": "z + 12", "h": 10}, "premises": {"h": 10}, "target": "y"}, "answer": {"steps": [["c", "q + 2", "q + 5"], ["q", "f + 14", "f + 19"], ["f", "d + 7", "d + 26"], ["d", "j + 10", "j + 36"], ["j", "h + 17", "h + 53"], ["h", 10, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"h": 10}, "is_reverse": true}} | 5,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 15; i = z + 12; j = h + 17; f = d + 7; y = c + 3; t = x + 19; q = f + 14; m = t + 11; c = q + 2; z = l + 20; l = m + 7; d = j + 10; h = 10. Given that h = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 2 to y, which gives y = q + 5.\n2. Substitute q = f + 14 to y, which gives y = f + 19.\n3. Substitute f = d + 7 to y, which gives y = d + 26.\n4. Substitute d = j + 10 to y, which gives y = j + 36.\n5. Substitute j = h + 17 to y, which gives y = h + 53.\n6. Substitute h = 10 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 5943,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 15; i = z + 12; j = h + 17; f = d + 7; y = c + 3; t = x + 19; q = f + 14; m = t + 11; c = q + 2; z = l + 20; l = m + 7; d = j + 10; h = 10. Given that h = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 7", "u": "d + 11", "l": "u + 3", "k": "l + 6", "w": "k + 18", "e": "w + 2", "t": "i + 3", "g": "t + 6", "n": "g + 9", "h": "n + 10", "j": "h + 16", "b": "j + 14", "i": 16}, "premises": {"i": 16}, "target": "e"}, "answer": {"steps": [["w", "k + 18", "k + 20"], ["k", "l + 6", "l + 26"], ["l", "u + 3", "u + 29"], ["u", "d + 11", "d + 40"], ["d", "i + 7", "i + 47"], ["i", 16, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"i": 16}, "is_reverse": true}} | 5,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 3; n = g + 9; g = t + 6; e = w + 2; d = i + 7; i = 16; b = j + 14; l = u + 3; u = d + 11; w = k + 18; k = l + 6; h = n + 10; j = h + 16. If i = 16, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 18 to e, which gives e = k + 20.\n2. Substitute k = l + 6 to e, which gives e = l + 26.\n3. Substitute l = u + 3 to e, which gives e = u + 29.\n4. Substitute u = d + 11 to e, which gives e = d + 40.\n5. Substitute d = i + 7 to e, which gives e = i + 47.\n6. Substitute i = 16 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 5944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 3; n = g + 9; g = t + 6; e = w + 2; d = i + 7; i = 16; b = j + 14; l = u + 3; u = d + 11; w = k + 18; k = l + 6; h = n + 10; j = h + 16. If i = 16, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 1", "u": "l + 19", "y": "u + 10", "t": "y + 16", "j": "t + 6", "m": "j + 11", "s": "p + 14", "b": "s + 16", "a": "b + 8", "d": "a + 20", "r": "d + 16", "o": "r + 3", "p": 19}, "premises": {"p": 19}, "target": "m"}, "answer": {"steps": [["j", "t + 6", "t + 17"], ["t", "y + 16", "y + 33"], ["y", "u + 10", "u + 43"], ["u", "l + 19", "l + 62"], ["l", "p + 1", "p + 63"], ["p", 19, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"p": 19}, "is_reverse": true}} | 5,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 16; o = r + 3; t = y + 16; p = 19; a = b + 8; b = s + 16; m = j + 11; l = p + 1; u = l + 19; d = a + 20; j = t + 6; s = p + 14; y = u + 10. If p = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 6 to m, which gives m = t + 17.\n2. Substitute t = y + 16 to m, which gives m = y + 33.\n3. Substitute y = u + 10 to m, which gives m = u + 43.\n4. Substitute u = l + 19 to m, which gives m = l + 62.\n5. Substitute l = p + 1 to m, which gives m = p + 63.\n6. Substitute p = 19 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 5945,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 16; o = r + 3; t = y + 16; p = 19; a = b + 8; b = s + 16; m = j + 11; l = p + 1; u = l + 19; d = a + 20; j = t + 6; s = p + 14; y = u + 10. If p = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 2", "o": "e + 18", "t": "o + 13", "d": "t + 10", "p": "d + 12", "f": "p + 20", "b": "i + 1", "v": "b + 18", "y": "v + 20", "c": "y + 7", "k": "c + 15", "m": "k + 10", "i": 1}, "premises": {"i": 1}, "target": "f"}, "answer": {"steps": [["p", "d + 12", "d + 32"], ["d", "t + 10", "t + 42"], ["t", "o + 13", "o + 55"], ["o", "e + 18", "e + 73"], ["e", "i + 2", "i + 75"], ["i", 1, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"i": 1}, "is_reverse": true}} | 5,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = e + 18; p = d + 12; c = y + 7; y = v + 20; d = t + 10; e = i + 2; b = i + 1; i = 1; m = k + 10; f = p + 20; k = c + 15; t = o + 13; v = b + 18. Given that i = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 12 to f, which gives f = d + 32.\n2. Substitute d = t + 10 to f, which gives f = t + 42.\n3. Substitute t = o + 13 to f, which gives f = o + 55.\n4. Substitute o = e + 18 to f, which gives f = e + 73.\n5. Substitute e = i + 2 to f, which gives f = i + 75.\n6. Substitute i = 1 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 5946,
"question": "Suppose a collection of variables is related by the following definitions: o = e + 18; p = d + 12; c = y + 7; y = v + 20; d = t + 10; e = i + 2; b = i + 1; i = 1; m = k + 10; f = p + 20; k = c + 15; t = o + 13; v = b + 18. Given that i = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 8", "b": "c + 7", "d": "b + 14", "p": "d + 1", "f": "p + 12", "u": "f + 8", "s": "a + 20", "w": "s + 18", "m": "w + 10", "g": "m + 14", "z": "g + 6", "h": "z + 18", "a": 17}, "premises": {"a": 17}, "target": "u"}, "answer": {"steps": [["f", "p + 12", "p + 20"], ["p", "d + 1", "d + 21"], ["d", "b + 14", "b + 35"], ["b", "c + 7", "c + 42"], ["c", "a + 8", "a + 50"], ["a", 17, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"a": 17}, "is_reverse": true}} | 5,947 | 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 = a + 20; g = m + 14; h = z + 18; a = 17; z = g + 6; c = a + 8; d = b + 14; u = f + 8; p = d + 1; m = w + 10; w = s + 18; b = c + 7; f = p + 12. If a = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 12 to u, which gives u = p + 20.\n2. Substitute p = d + 1 to u, which gives u = d + 21.\n3. Substitute d = b + 14 to u, which gives u = b + 35.\n4. Substitute b = c + 7 to u, which gives u = c + 42.\n5. Substitute c = a + 8 to u, which gives u = a + 50.\n6. Substitute a = 17 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 5947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 20; g = m + 14; h = z + 18; a = 17; z = g + 6; c = a + 8; d = b + 14; u = f + 8; p = d + 1; m = w + 10; w = s + 18; b = c + 7; f = p + 12. If a = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 20", "s": "i + 14", "y": "s + 3", "k": "y + 12", "o": "k + 5", "x": "o + 11", "g": "w + 9", "n": "g + 7", "j": "n + 13", "u": "j + 15", "m": "u + 18", "a": "m + 13", "w": 5}, "premises": {"w": 5}, "target": "x"}, "answer": {"steps": [["o", "k + 5", "k + 16"], ["k", "y + 12", "y + 28"], ["y", "s + 3", "s + 31"], ["s", "i + 14", "i + 45"], ["i", "w + 20", "w + 65"], ["w", 5, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"w": 5}, "is_reverse": true}} | 5,948 | 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 = 5; k = y + 12; m = u + 18; o = k + 5; x = o + 11; u = j + 15; g = w + 9; i = w + 20; s = i + 14; j = n + 13; n = g + 7; y = s + 3; a = m + 13. If w = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 5 to x, which gives x = k + 16.\n2. Substitute k = y + 12 to x, which gives x = y + 28.\n3. Substitute y = s + 3 to x, which gives x = s + 31.\n4. Substitute s = i + 14 to x, which gives x = i + 45.\n5. Substitute i = w + 20 to x, which gives x = w + 65.\n6. Substitute w = 5 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 5948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 5; k = y + 12; m = u + 18; o = k + 5; x = o + 11; u = j + 15; g = w + 9; i = w + 20; s = i + 14; j = n + 13; n = g + 7; y = s + 3; a = m + 13. If w = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 3", "p": "c + 20", "j": "p + 20", "h": "j + 6", "t": "h + 12", "o": "t + 1", "n": "b + 2", "y": "n + 14", "e": "y + 6", "x": "e + 5", "k": "x + 4", "v": "k + 8", "b": 6}, "premises": {"b": 6}, "target": "o"}, "answer": {"steps": [["t", "h + 12", "h + 13"], ["h", "j + 6", "j + 19"], ["j", "p + 20", "p + 39"], ["p", "c + 20", "c + 59"], ["c", "b + 3", "b + 62"], ["b", 6, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"b": 6}, "is_reverse": true}} | 5,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = x + 4; x = e + 5; t = h + 12; o = t + 1; n = b + 2; e = y + 6; c = b + 3; h = j + 6; j = p + 20; v = k + 8; y = n + 14; b = 6; p = c + 20. Given that b = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 12 to o, which gives o = h + 13.\n2. Substitute h = j + 6 to o, which gives o = j + 19.\n3. Substitute j = p + 20 to o, which gives o = p + 39.\n4. Substitute p = c + 20 to o, which gives o = c + 59.\n5. Substitute c = b + 3 to o, which gives o = b + 62.\n6. Substitute b = 6 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 5949,
"question": "Suppose a collection of variables is related by the following definitions: k = x + 4; x = e + 5; t = h + 12; o = t + 1; n = b + 2; e = y + 6; c = b + 3; h = j + 6; j = p + 20; v = k + 8; y = n + 14; b = 6; p = c + 20. Given that b = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 5", "x": "f + 17", "b": "x + 7", "r": "b + 19", "z": "r + 4", "t": "z + 19", "d": "k + 2", "n": "d + 13", "i": "n + 19", "a": "i + 12", "s": "a + 12", "l": "s + 15", "k": 20}, "premises": {"k": 20}, "target": "t"}, "answer": {"steps": [["z", "r + 4", "r + 23"], ["r", "b + 19", "b + 42"], ["b", "x + 7", "x + 49"], ["x", "f + 17", "f + 66"], ["f", "k + 5", "k + 71"], ["k", 20, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"k": 20}, "is_reverse": true}} | 5,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = k + 5; s = a + 12; b = x + 7; a = i + 12; n = d + 13; x = f + 17; l = s + 15; k = 20; z = r + 4; i = n + 19; r = b + 19; t = z + 19; d = k + 2. If k = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 4 to t, which gives t = r + 23.\n2. Substitute r = b + 19 to t, which gives t = b + 42.\n3. Substitute b = x + 7 to t, which gives t = x + 49.\n4. Substitute x = f + 17 to t, which gives t = f + 66.\n5. Substitute f = k + 5 to t, which gives t = k + 71.\n6. Substitute k = 20 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 5950,
"question": "Consider a system of variables where each variable is defined as follows: f = k + 5; s = a + 12; b = x + 7; a = i + 12; n = d + 13; x = f + 17; l = s + 15; k = 20; z = r + 4; i = n + 19; r = b + 19; t = z + 19; d = k + 2. If k = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 15", "r": "y + 18", "o": "r + 2", "l": "o + 16", "t": "l + 4", "x": "t + 1", "p": "i + 13", "e": "p + 11", "m": "e + 8", "w": "m + 10", "a": "w + 3", "j": "a + 3", "i": 15}, "premises": {"i": 15}, "target": "x"}, "answer": {"steps": [["t", "l + 4", "l + 5"], ["l", "o + 16", "o + 21"], ["o", "r + 2", "r + 23"], ["r", "y + 18", "y + 41"], ["y", "i + 15", "i + 56"], ["i", 15, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"i": 15}, "is_reverse": true}} | 5,951 | 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 = t + 1; r = y + 18; a = w + 3; w = m + 10; l = o + 16; y = i + 15; t = l + 4; e = p + 11; j = a + 3; i = 15; p = i + 13; m = e + 8; o = r + 2. If i = 15, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 4 to x, which gives x = l + 5.\n2. Substitute l = o + 16 to x, which gives x = o + 21.\n3. Substitute o = r + 2 to x, which gives x = r + 23.\n4. Substitute r = y + 18 to x, which gives x = y + 41.\n5. Substitute y = i + 15 to x, which gives x = i + 56.\n6. Substitute i = 15 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 5951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 1; r = y + 18; a = w + 3; w = m + 10; l = o + 16; y = i + 15; t = l + 4; e = p + 11; j = a + 3; i = 15; p = i + 13; m = e + 8; o = r + 2. If i = 15, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 8", "w": "t + 17", "b": "w + 14", "p": "b + 15", "n": "p + 6", "j": "n + 10", "h": "v + 16", "y": "h + 10", "f": "y + 20", "a": "f + 7", "g": "a + 7", "q": "g + 1", "v": 17}, "premises": {"v": 17}, "target": "j"}, "answer": {"steps": [["n", "p + 6", "p + 16"], ["p", "b + 15", "b + 31"], ["b", "w + 14", "w + 45"], ["w", "t + 17", "t + 62"], ["t", "v + 8", "v + 70"], ["v", 17, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"v": 17}, "is_reverse": true}} | 5,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = a + 7; p = b + 15; q = g + 1; b = w + 14; t = v + 8; f = y + 20; j = n + 10; v = 17; y = h + 10; h = v + 16; w = t + 17; a = f + 7; n = p + 6. If v = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 6 to j, which gives j = p + 16.\n2. Substitute p = b + 15 to j, which gives j = b + 31.\n3. Substitute b = w + 14 to j, which gives j = w + 45.\n4. Substitute w = t + 17 to j, which gives j = t + 62.\n5. Substitute t = v + 8 to j, which gives j = v + 70.\n6. Substitute v = 17 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 5952,
"question": "Consider a system of variables where each variable is defined as follows: g = a + 7; p = b + 15; q = g + 1; b = w + 14; t = v + 8; f = y + 20; j = n + 10; v = 17; y = h + 10; h = v + 16; w = t + 17; a = f + 7; n = p + 6. If v = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 12", "t": "j + 20", "b": "t + 8", "x": "b + 8", "a": "x + 13", "r": "a + 10", "l": "w + 16", "n": "l + 6", "c": "n + 17", "z": "c + 2", "k": "z + 6", "d": "k + 4", "w": 6}, "premises": {"w": 6}, "target": "r"}, "answer": {"steps": [["a", "x + 13", "x + 23"], ["x", "b + 8", "b + 31"], ["b", "t + 8", "t + 39"], ["t", "j + 20", "j + 59"], ["j", "w + 12", "w + 71"], ["w", 6, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"w": 6}, "is_reverse": true}} | 5,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 8; b = t + 8; w = 6; l = w + 16; k = z + 6; j = w + 12; r = a + 10; a = x + 13; z = c + 2; n = l + 6; d = k + 4; t = j + 20; c = n + 17. Given that w = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 13 to r, which gives r = x + 23.\n2. Substitute x = b + 8 to r, which gives r = b + 31.\n3. Substitute b = t + 8 to r, which gives r = t + 39.\n4. Substitute t = j + 20 to r, which gives r = j + 59.\n5. Substitute j = w + 12 to r, which gives r = w + 71.\n6. Substitute w = 6 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 5953,
"question": "Suppose a collection of variables is related by the following definitions: x = b + 8; b = t + 8; w = 6; l = w + 16; k = z + 6; j = w + 12; r = a + 10; a = x + 13; z = c + 2; n = l + 6; d = k + 4; t = j + 20; c = n + 17. Given that w = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 2", "e": "d + 9", "b": "e + 3", "c": "b + 11", "g": "c + 12", "m": "g + 1", "t": "f + 7", "l": "t + 6", "v": "l + 2", "p": "v + 8", "y": "p + 4", "n": "y + 5", "f": 4}, "premises": {"f": 4}, "target": "m"}, "answer": {"steps": [["g", "c + 12", "c + 13"], ["c", "b + 11", "b + 24"], ["b", "e + 3", "e + 27"], ["e", "d + 9", "d + 36"], ["d", "f + 2", "f + 38"], ["f", 4, "42"]], "target_var_name": "m", "target_value": 42, "value_dict": {"f": 4}, "is_reverse": true}} | 5,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 12; f = 4; y = p + 4; p = v + 8; v = l + 2; b = e + 3; n = y + 5; c = b + 11; d = f + 2; e = d + 9; t = f + 7; m = g + 1; l = t + 6. If f = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 12 to m, which gives m = c + 13.\n2. Substitute c = b + 11 to m, which gives m = b + 24.\n3. Substitute b = e + 3 to m, which gives m = e + 27.\n4. Substitute e = d + 9 to m, which gives m = d + 36.\n5. Substitute d = f + 2 to m, which gives m = f + 38.\n6. Substitute f = 4 to m, which gives m = 42.\n\nThus, the final answer is m = \\boxed{42}.",
"index": 5954,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 12; f = 4; y = p + 4; p = v + 8; v = l + 2; b = e + 3; n = y + 5; c = b + 11; d = f + 2; e = d + 9; t = f + 7; m = g + 1; l = t + 6. If f = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 14", "e": "x + 20", "o": "e + 4", "z": "o + 3", "a": "z + 1", "b": "a + 12", "y": "w + 8", "f": "y + 14", "g": "f + 10", "h": "g + 19", "s": "h + 4", "l": "s + 6", "w": 10}, "premises": {"w": 10}, "target": "b"}, "answer": {"steps": [["a", "z + 1", "z + 13"], ["z", "o + 3", "o + 16"], ["o", "e + 4", "e + 20"], ["e", "x + 20", "x + 40"], ["x", "w + 14", "w + 54"], ["w", 10, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"w": 10}, "is_reverse": true}} | 5,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 8; b = a + 12; e = x + 20; a = z + 1; g = f + 10; x = w + 14; h = g + 19; z = o + 3; f = y + 14; s = h + 4; l = s + 6; w = 10; o = e + 4. Given that w = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 1 to b, which gives b = z + 13.\n2. Substitute z = o + 3 to b, which gives b = o + 16.\n3. Substitute o = e + 4 to b, which gives b = e + 20.\n4. Substitute e = x + 20 to b, which gives b = x + 40.\n5. Substitute x = w + 14 to b, which gives b = w + 54.\n6. Substitute w = 10 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 5955,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 8; b = a + 12; e = x + 20; a = z + 1; g = f + 10; x = w + 14; h = g + 19; z = o + 3; f = y + 14; s = h + 4; l = s + 6; w = 10; o = e + 4. Given that w = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 12", "i": "s + 12", "u": "i + 7", "n": "u + 10", "g": "n + 3", "m": "g + 17", "j": "q + 15", "t": "j + 5", "e": "t + 17", "w": "e + 15", "p": "w + 1", "r": "p + 16", "q": 3}, "premises": {"q": 3}, "target": "m"}, "answer": {"steps": [["g", "n + 3", "n + 20"], ["n", "u + 10", "u + 30"], ["u", "i + 7", "i + 37"], ["i", "s + 12", "s + 49"], ["s", "q + 12", "q + 61"], ["q", 3, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"q": 3}, "is_reverse": true}} | 5,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 15; q = 3; g = n + 3; e = t + 17; u = i + 7; n = u + 10; w = e + 15; r = p + 16; m = g + 17; t = j + 5; i = s + 12; s = q + 12; p = w + 1. If q = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 3 to m, which gives m = n + 20.\n2. Substitute n = u + 10 to m, which gives m = u + 30.\n3. Substitute u = i + 7 to m, which gives m = i + 37.\n4. Substitute i = s + 12 to m, which gives m = s + 49.\n5. Substitute s = q + 12 to m, which gives m = q + 61.\n6. Substitute q = 3 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 5956,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 15; q = 3; g = n + 3; e = t + 17; u = i + 7; n = u + 10; w = e + 15; r = p + 16; m = g + 17; t = j + 5; i = s + 12; s = q + 12; p = w + 1. If q = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 18", "c": "m + 7", "i": "c + 7", "x": "i + 13", "t": "x + 18", "r": "t + 20", "f": "e + 9", "l": "f + 11", "q": "l + 13", "z": "q + 11", "d": "z + 20", "a": "d + 17", "e": 2}, "premises": {"e": 2}, "target": "r"}, "answer": {"steps": [["t", "x + 18", "x + 38"], ["x", "i + 13", "i + 51"], ["i", "c + 7", "c + 58"], ["c", "m + 7", "m + 65"], ["m", "e + 18", "e + 83"], ["e", 2, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"e": 2}, "is_reverse": true}} | 5,957 | 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 = z + 20; m = e + 18; c = m + 7; f = e + 9; i = c + 7; r = t + 20; t = x + 18; z = q + 11; e = 2; q = l + 13; a = d + 17; x = i + 13; l = f + 11. If e = 2, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 18 to r, which gives r = x + 38.\n2. Substitute x = i + 13 to r, which gives r = i + 51.\n3. Substitute i = c + 7 to r, which gives r = c + 58.\n4. Substitute c = m + 7 to r, which gives r = m + 65.\n5. Substitute m = e + 18 to r, which gives r = e + 83.\n6. Substitute e = 2 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 5957,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 20; m = e + 18; c = m + 7; f = e + 9; i = c + 7; r = t + 20; t = x + 18; z = q + 11; e = 2; q = l + 13; a = d + 17; x = i + 13; l = f + 11. If e = 2, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 6", "o": "h + 1", "k": "o + 1", "i": "k + 7", "q": "i + 5", "w": "q + 3", "n": "c + 7", "u": "n + 10", "d": "u + 17", "f": "d + 12", "r": "f + 10", "l": "r + 10", "c": 6}, "premises": {"c": 6}, "target": "w"}, "answer": {"steps": [["q", "i + 5", "i + 8"], ["i", "k + 7", "k + 15"], ["k", "o + 1", "o + 16"], ["o", "h + 1", "h + 17"], ["h", "c + 6", "c + 23"], ["c", 6, "29"]], "target_var_name": "w", "target_value": 29, "value_dict": {"c": 6}, "is_reverse": true}} | 5,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 10; d = u + 17; f = d + 12; u = n + 10; n = c + 7; i = k + 7; q = i + 5; r = f + 10; h = c + 6; o = h + 1; k = o + 1; c = 6; w = q + 3. Given that c = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 29,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 5 to w, which gives w = i + 8.\n2. Substitute i = k + 7 to w, which gives w = k + 15.\n3. Substitute k = o + 1 to w, which gives w = o + 16.\n4. Substitute o = h + 1 to w, which gives w = h + 17.\n5. Substitute h = c + 6 to w, which gives w = c + 23.\n6. Substitute c = 6 to w, which gives w = 29.\n\nThus, the final answer is w = \\boxed{29}.",
"index": 5958,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 10; d = u + 17; f = d + 12; u = n + 10; n = c + 7; i = k + 7; q = i + 5; r = f + 10; h = c + 6; o = h + 1; k = o + 1; c = 6; w = q + 3. Given that c = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 17", "z": "s + 16", "g": "z + 20", "p": "g + 4", "q": "p + 17", "o": "q + 5", "u": "d + 1", "c": "u + 10", "i": "c + 3", "h": "i + 19", "k": "h + 12", "e": "k + 11", "d": 6}, "premises": {"d": 6}, "target": "o"}, "answer": {"steps": [["q", "p + 17", "p + 22"], ["p", "g + 4", "g + 26"], ["g", "z + 20", "z + 46"], ["z", "s + 16", "s + 62"], ["s", "d + 17", "d + 79"], ["d", 6, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"d": 6}, "is_reverse": true}} | 5,959 | 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 = d + 17; p = g + 4; o = q + 5; i = c + 3; z = s + 16; d = 6; e = k + 11; u = d + 1; q = p + 17; k = h + 12; g = z + 20; c = u + 10; h = i + 19. If d = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 17 to o, which gives o = p + 22.\n2. Substitute p = g + 4 to o, which gives o = g + 26.\n3. Substitute g = z + 20 to o, which gives o = z + 46.\n4. Substitute z = s + 16 to o, which gives o = s + 62.\n5. Substitute s = d + 17 to o, which gives o = d + 79.\n6. Substitute d = 6 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 5959,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 17; p = g + 4; o = q + 5; i = c + 3; z = s + 16; d = 6; e = k + 11; u = d + 1; q = p + 17; k = h + 12; g = z + 20; c = u + 10; h = i + 19. If d = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 10", "l": "v + 11", "n": "l + 11", "o": "n + 11", "z": "o + 17", "f": "z + 4", "u": "r + 13", "w": "u + 19", "a": "w + 14", "p": "a + 10", "k": "p + 4", "d": "k + 7", "r": 1}, "premises": {"r": 1}, "target": "f"}, "answer": {"steps": [["z", "o + 17", "o + 21"], ["o", "n + 11", "n + 32"], ["n", "l + 11", "l + 43"], ["l", "v + 11", "v + 54"], ["v", "r + 10", "r + 64"], ["r", 1, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"r": 1}, "is_reverse": true}} | 5,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 10; d = k + 7; u = r + 13; a = w + 14; k = p + 4; p = a + 10; z = o + 17; l = v + 11; n = l + 11; w = u + 19; r = 1; f = z + 4; o = n + 11. Given that r = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 17 to f, which gives f = o + 21.\n2. Substitute o = n + 11 to f, which gives f = n + 32.\n3. Substitute n = l + 11 to f, which gives f = l + 43.\n4. Substitute l = v + 11 to f, which gives f = v + 54.\n5. Substitute v = r + 10 to f, which gives f = r + 64.\n6. Substitute r = 1 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 5960,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 10; d = k + 7; u = r + 13; a = w + 14; k = p + 4; p = a + 10; z = o + 17; l = v + 11; n = l + 11; w = u + 19; r = 1; f = z + 4; o = n + 11. Given that r = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 5", "s": "j + 14", "u": "s + 12", "r": "u + 15", "l": "r + 10", "o": "l + 3", "b": "k + 17", "z": "b + 1", "x": "z + 14", "d": "x + 20", "t": "d + 14", "f": "t + 11", "k": 6}, "premises": {"k": 6}, "target": "o"}, "answer": {"steps": [["l", "r + 10", "r + 13"], ["r", "u + 15", "u + 28"], ["u", "s + 12", "s + 40"], ["s", "j + 14", "j + 54"], ["j", "k + 5", "k + 59"], ["k", 6, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"k": 6}, "is_reverse": true}} | 5,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 3; t = d + 14; s = j + 14; r = u + 15; l = r + 10; x = z + 14; f = t + 11; d = x + 20; b = k + 17; u = s + 12; z = b + 1; k = 6; j = k + 5. Given that k = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 10 to o, which gives o = r + 13.\n2. Substitute r = u + 15 to o, which gives o = u + 28.\n3. Substitute u = s + 12 to o, which gives o = s + 40.\n4. Substitute s = j + 14 to o, which gives o = j + 54.\n5. Substitute j = k + 5 to o, which gives o = k + 59.\n6. Substitute k = 6 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 5961,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 3; t = d + 14; s = j + 14; r = u + 15; l = r + 10; x = z + 14; f = t + 11; d = x + 20; b = k + 17; u = s + 12; z = b + 1; k = 6; j = k + 5. Given that k = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 9", "q": "u + 5", "b": "q + 1", "d": "b + 8", "v": "d + 5", "l": "v + 7", "k": "i + 16", "y": "k + 17", "s": "y + 13", "h": "s + 7", "e": "h + 19", "f": "e + 4", "i": 20}, "premises": {"i": 20}, "target": "l"}, "answer": {"steps": [["v", "d + 5", "d + 12"], ["d", "b + 8", "b + 20"], ["b", "q + 1", "q + 21"], ["q", "u + 5", "u + 26"], ["u", "i + 9", "i + 35"], ["i", 20, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"i": 20}, "is_reverse": true}} | 5,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 5; e = h + 19; k = i + 16; b = q + 1; f = e + 4; u = i + 9; l = v + 7; s = y + 13; v = d + 5; y = k + 17; i = 20; d = b + 8; h = s + 7. Given that i = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 5 to l, which gives l = d + 12.\n2. Substitute d = b + 8 to l, which gives l = b + 20.\n3. Substitute b = q + 1 to l, which gives l = q + 21.\n4. Substitute q = u + 5 to l, which gives l = u + 26.\n5. Substitute u = i + 9 to l, which gives l = i + 35.\n6. Substitute i = 20 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 5962,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 5; e = h + 19; k = i + 16; b = q + 1; f = e + 4; u = i + 9; l = v + 7; s = y + 13; v = d + 5; y = k + 17; i = 20; d = b + 8; h = s + 7. Given that i = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 20", "x": "c + 19", "k": "x + 1", "j": "k + 8", "h": "j + 15", "y": "h + 16", "u": "q + 19", "w": "u + 9", "f": "w + 5", "i": "f + 9", "t": "i + 4", "s": "t + 8", "q": 8}, "premises": {"q": 8}, "target": "y"}, "answer": {"steps": [["h", "j + 15", "j + 31"], ["j", "k + 8", "k + 39"], ["k", "x + 1", "x + 40"], ["x", "c + 19", "c + 59"], ["c", "q + 20", "q + 79"], ["q", 8, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"q": 8}, "is_reverse": true}} | 5,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 8; w = u + 9; y = h + 16; j = k + 8; s = t + 8; h = j + 15; f = w + 5; x = c + 19; u = q + 19; k = x + 1; c = q + 20; t = i + 4; i = f + 9. Given that q = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 15 to y, which gives y = j + 31.\n2. Substitute j = k + 8 to y, which gives y = k + 39.\n3. Substitute k = x + 1 to y, which gives y = x + 40.\n4. Substitute x = c + 19 to y, which gives y = c + 59.\n5. Substitute c = q + 20 to y, which gives y = q + 79.\n6. Substitute q = 8 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 5963,
"question": "Suppose a collection of variables is related by the following definitions: q = 8; w = u + 9; y = h + 16; j = k + 8; s = t + 8; h = j + 15; f = w + 5; x = c + 19; u = q + 19; k = x + 1; c = q + 20; t = i + 4; i = f + 9. Given that q = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 8", "v": "r + 18", "t": "v + 20", "s": "t + 14", "e": "s + 7", "d": "e + 19", "u": "j + 14", "p": "u + 9", "o": "p + 6", "n": "o + 5", "y": "n + 5", "z": "y + 15", "j": 12}, "premises": {"j": 12}, "target": "d"}, "answer": {"steps": [["e", "s + 7", "s + 26"], ["s", "t + 14", "t + 40"], ["t", "v + 20", "v + 60"], ["v", "r + 18", "r + 78"], ["r", "j + 8", "j + 86"], ["j", 12, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"j": 12}, "is_reverse": true}} | 5,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 18; e = s + 7; n = o + 5; s = t + 14; t = v + 20; j = 12; y = n + 5; p = u + 9; u = j + 14; r = j + 8; d = e + 19; o = p + 6; z = y + 15. If j = 12, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 7 to d, which gives d = s + 26.\n2. Substitute s = t + 14 to d, which gives d = t + 40.\n3. Substitute t = v + 20 to d, which gives d = v + 60.\n4. Substitute v = r + 18 to d, which gives d = r + 78.\n5. Substitute r = j + 8 to d, which gives d = j + 86.\n6. Substitute j = 12 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 5964,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 18; e = s + 7; n = o + 5; s = t + 14; t = v + 20; j = 12; y = n + 5; p = u + 9; u = j + 14; r = j + 8; d = e + 19; o = p + 6; z = y + 15. If j = 12, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 15", "s": "w + 14", "z": "s + 6", "d": "z + 14", "u": "d + 8", "h": "u + 4", "r": "l + 10", "c": "r + 9", "i": "c + 7", "v": "i + 10", "p": "v + 15", "q": "p + 4", "l": 17}, "premises": {"l": 17}, "target": "h"}, "answer": {"steps": [["u", "d + 8", "d + 12"], ["d", "z + 14", "z + 26"], ["z", "s + 6", "s + 32"], ["s", "w + 14", "w + 46"], ["w", "l + 15", "l + 61"], ["l", 17, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"l": 17}, "is_reverse": true}} | 5,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 15; p = v + 15; c = r + 9; h = u + 4; i = c + 7; d = z + 14; q = p + 4; v = i + 10; u = d + 8; r = l + 10; s = w + 14; l = 17; z = s + 6. Given that l = 17, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 8 to h, which gives h = d + 12.\n2. Substitute d = z + 14 to h, which gives h = z + 26.\n3. Substitute z = s + 6 to h, which gives h = s + 32.\n4. Substitute s = w + 14 to h, which gives h = w + 46.\n5. Substitute w = l + 15 to h, which gives h = l + 61.\n6. Substitute l = 17 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 5965,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 15; p = v + 15; c = r + 9; h = u + 4; i = c + 7; d = z + 14; q = p + 4; v = i + 10; u = d + 8; r = l + 10; s = w + 14; l = 17; z = s + 6. Given that l = 17, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 19", "e": "k + 5", "f": "e + 7", "n": "f + 5", "h": "n + 9", "p": "h + 13", "m": "g + 2", "d": "m + 20", "y": "d + 11", "o": "y + 1", "c": "o + 18", "q": "c + 1", "g": 1}, "premises": {"g": 1}, "target": "p"}, "answer": {"steps": [["h", "n + 9", "n + 22"], ["n", "f + 5", "f + 27"], ["f", "e + 7", "e + 34"], ["e", "k + 5", "k + 39"], ["k", "g + 19", "g + 58"], ["g", 1, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"g": 1}, "is_reverse": true}} | 5,966 | 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 = e + 7; e = k + 5; n = f + 5; d = m + 20; c = o + 18; h = n + 9; q = c + 1; k = g + 19; p = h + 13; g = 1; m = g + 2; o = y + 1; y = d + 11. If g = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 9 to p, which gives p = n + 22.\n2. Substitute n = f + 5 to p, which gives p = f + 27.\n3. Substitute f = e + 7 to p, which gives p = e + 34.\n4. Substitute e = k + 5 to p, which gives p = k + 39.\n5. Substitute k = g + 19 to p, which gives p = g + 58.\n6. Substitute g = 1 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 5966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 7; e = k + 5; n = f + 5; d = m + 20; c = o + 18; h = n + 9; q = c + 1; k = g + 19; p = h + 13; g = 1; m = g + 2; o = y + 1; y = d + 11. If g = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 1", "t": "w + 11", "g": "t + 8", "o": "g + 13", "y": "o + 12", "v": "y + 2", "b": "e + 18", "j": "b + 20", "q": "j + 15", "l": "q + 10", "z": "l + 9", "k": "z + 20", "e": 16}, "premises": {"e": 16}, "target": "v"}, "answer": {"steps": [["y", "o + 12", "o + 14"], ["o", "g + 13", "g + 27"], ["g", "t + 8", "t + 35"], ["t", "w + 11", "w + 46"], ["w", "e + 1", "e + 47"], ["e", 16, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"e": 16}, "is_reverse": true}} | 5,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = e + 18; j = b + 20; q = j + 15; t = w + 11; l = q + 10; o = g + 13; z = l + 9; v = y + 2; y = o + 12; k = z + 20; e = 16; w = e + 1; g = t + 8. If e = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 12 to v, which gives v = o + 14.\n2. Substitute o = g + 13 to v, which gives v = g + 27.\n3. Substitute g = t + 8 to v, which gives v = t + 35.\n4. Substitute t = w + 11 to v, which gives v = w + 46.\n5. Substitute w = e + 1 to v, which gives v = e + 47.\n6. Substitute e = 16 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 5967,
"question": "Consider a system of variables where each variable is defined as follows: b = e + 18; j = b + 20; q = j + 15; t = w + 11; l = q + 10; o = g + 13; z = l + 9; v = y + 2; y = o + 12; k = z + 20; e = 16; w = e + 1; g = t + 8. If e = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 8", "h": "j + 15", "x": "h + 13", "m": "x + 10", "o": "m + 7", "e": "o + 15", "v": "p + 8", "t": "v + 5", "k": "t + 8", "n": "k + 3", "a": "n + 4", "u": "a + 9", "p": 1}, "premises": {"p": 1}, "target": "e"}, "answer": {"steps": [["o", "m + 7", "m + 22"], ["m", "x + 10", "x + 32"], ["x", "h + 13", "h + 45"], ["h", "j + 15", "j + 60"], ["j", "p + 8", "p + 68"], ["p", 1, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"p": 1}, "is_reverse": true}} | 5,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 8; u = a + 9; e = o + 15; v = p + 8; j = p + 8; a = n + 4; o = m + 7; m = x + 10; p = 1; t = v + 5; x = h + 13; n = k + 3; h = j + 15. Given that p = 1, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 7 to e, which gives e = m + 22.\n2. Substitute m = x + 10 to e, which gives e = x + 32.\n3. Substitute x = h + 13 to e, which gives e = h + 45.\n4. Substitute h = j + 15 to e, which gives e = j + 60.\n5. Substitute j = p + 8 to e, which gives e = p + 68.\n6. Substitute p = 1 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 5968,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 8; u = a + 9; e = o + 15; v = p + 8; j = p + 8; a = n + 4; o = m + 7; m = x + 10; p = 1; t = v + 5; x = h + 13; n = k + 3; h = j + 15. Given that p = 1, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 15", "o": "m + 7", "g": "o + 18", "a": "g + 1", "n": "a + 5", "d": "n + 16", "p": "y + 18", "q": "p + 5", "v": "q + 13", "j": "v + 9", "u": "j + 12", "z": "u + 4", "y": 7}, "premises": {"y": 7}, "target": "d"}, "answer": {"steps": [["n", "a + 5", "a + 21"], ["a", "g + 1", "g + 22"], ["g", "o + 18", "o + 40"], ["o", "m + 7", "m + 47"], ["m", "y + 15", "y + 62"], ["y", 7, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"y": 7}, "is_reverse": true}} | 5,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 9; n = a + 5; q = p + 5; a = g + 1; m = y + 15; y = 7; d = n + 16; v = q + 13; z = u + 4; u = j + 12; g = o + 18; o = m + 7; p = y + 18. If y = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 5 to d, which gives d = a + 21.\n2. Substitute a = g + 1 to d, which gives d = g + 22.\n3. Substitute g = o + 18 to d, which gives d = o + 40.\n4. Substitute o = m + 7 to d, which gives d = m + 47.\n5. Substitute m = y + 15 to d, which gives d = y + 62.\n6. Substitute y = 7 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 5969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 9; n = a + 5; q = p + 5; a = g + 1; m = y + 15; y = 7; d = n + 16; v = q + 13; z = u + 4; u = j + 12; g = o + 18; o = m + 7; p = y + 18. If y = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 19", "i": "f + 3", "c": "i + 17", "p": "c + 6", "j": "p + 2", "a": "j + 2", "g": "v + 1", "m": "g + 20", "n": "m + 11", "e": "n + 19", "k": "e + 13", "l": "k + 20", "v": 1}, "premises": {"v": 1}, "target": "a"}, "answer": {"steps": [["j", "p + 2", "p + 4"], ["p", "c + 6", "c + 10"], ["c", "i + 17", "i + 27"], ["i", "f + 3", "f + 30"], ["f", "v + 19", "v + 49"], ["v", 1, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"v": 1}, "is_reverse": true}} | 5,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = j + 2; e = n + 19; k = e + 13; j = p + 2; g = v + 1; c = i + 17; l = k + 20; i = f + 3; m = g + 20; n = m + 11; p = c + 6; f = v + 19; v = 1. Given that v = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 2 to a, which gives a = p + 4.\n2. Substitute p = c + 6 to a, which gives a = c + 10.\n3. Substitute c = i + 17 to a, which gives a = i + 27.\n4. Substitute i = f + 3 to a, which gives a = f + 30.\n5. Substitute f = v + 19 to a, which gives a = v + 49.\n6. Substitute v = 1 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 5970,
"question": "Suppose a collection of variables is related by the following definitions: a = j + 2; e = n + 19; k = e + 13; j = p + 2; g = v + 1; c = i + 17; l = k + 20; i = f + 3; m = g + 20; n = m + 11; p = c + 6; f = v + 19; v = 1. Given that v = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 17", "u": "v + 19", "j": "u + 19", "m": "j + 6", "x": "m + 4", "w": "x + 1", "g": "o + 3", "h": "g + 5", "e": "h + 7", "i": "e + 19", "s": "i + 3", "p": "s + 14", "o": 9}, "premises": {"o": 9}, "target": "w"}, "answer": {"steps": [["x", "m + 4", "m + 5"], ["m", "j + 6", "j + 11"], ["j", "u + 19", "u + 30"], ["u", "v + 19", "v + 49"], ["v", "o + 17", "o + 66"], ["o", 9, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"o": 9}, "is_reverse": true}} | 5,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 19; w = x + 1; i = e + 19; s = i + 3; g = o + 3; u = v + 19; m = j + 6; h = g + 5; e = h + 7; p = s + 14; x = m + 4; o = 9; v = o + 17. If o = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 4 to w, which gives w = m + 5.\n2. Substitute m = j + 6 to w, which gives w = j + 11.\n3. Substitute j = u + 19 to w, which gives w = u + 30.\n4. Substitute u = v + 19 to w, which gives w = v + 49.\n5. Substitute v = o + 17 to w, which gives w = o + 66.\n6. Substitute o = 9 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 5971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = u + 19; w = x + 1; i = e + 19; s = i + 3; g = o + 3; u = v + 19; m = j + 6; h = g + 5; e = h + 7; p = s + 14; x = m + 4; o = 9; v = o + 17. If o = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 1", "c": "z + 6", "h": "c + 15", "j": "h + 17", "b": "j + 7", "t": "b + 6", "d": "f + 10", "k": "d + 3", "q": "k + 9", "g": "q + 4", "e": "g + 4", "o": "e + 17", "f": 11}, "premises": {"f": 11}, "target": "t"}, "answer": {"steps": [["b", "j + 7", "j + 13"], ["j", "h + 17", "h + 30"], ["h", "c + 15", "c + 45"], ["c", "z + 6", "z + 51"], ["z", "f + 1", "f + 52"], ["f", 11, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"f": 11}, "is_reverse": true}} | 5,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 9; e = g + 4; h = c + 15; d = f + 10; o = e + 17; t = b + 6; f = 11; c = z + 6; z = f + 1; k = d + 3; b = j + 7; j = h + 17; g = q + 4. Given that f = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 7 to t, which gives t = j + 13.\n2. Substitute j = h + 17 to t, which gives t = h + 30.\n3. Substitute h = c + 15 to t, which gives t = c + 45.\n4. Substitute c = z + 6 to t, which gives t = z + 51.\n5. Substitute z = f + 1 to t, which gives t = f + 52.\n6. Substitute f = 11 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 5972,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 9; e = g + 4; h = c + 15; d = f + 10; o = e + 17; t = b + 6; f = 11; c = z + 6; z = f + 1; k = d + 3; b = j + 7; j = h + 17; g = q + 4. Given that f = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 11", "u": "g + 13", "k": "u + 7", "j": "k + 16", "q": "j + 1", "f": "q + 16", "v": "s + 10", "t": "v + 2", "x": "t + 4", "h": "x + 4", "m": "h + 20", "d": "m + 5", "s": 13}, "premises": {"s": 13}, "target": "f"}, "answer": {"steps": [["q", "j + 1", "j + 17"], ["j", "k + 16", "k + 33"], ["k", "u + 7", "u + 40"], ["u", "g + 13", "g + 53"], ["g", "s + 11", "s + 64"], ["s", 13, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"s": 13}, "is_reverse": true}} | 5,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 16; g = s + 11; v = s + 10; k = u + 7; q = j + 1; h = x + 4; u = g + 13; x = t + 4; s = 13; m = h + 20; j = k + 16; t = v + 2; d = m + 5. Given that s = 13, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 1 to f, which gives f = j + 17.\n2. Substitute j = k + 16 to f, which gives f = k + 33.\n3. Substitute k = u + 7 to f, which gives f = u + 40.\n4. Substitute u = g + 13 to f, which gives f = g + 53.\n5. Substitute g = s + 11 to f, which gives f = s + 64.\n6. Substitute s = 13 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 5973,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 16; g = s + 11; v = s + 10; k = u + 7; q = j + 1; h = x + 4; u = g + 13; x = t + 4; s = 13; m = h + 20; j = k + 16; t = v + 2; d = m + 5. Given that s = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 15", "p": "m + 3", "y": "p + 5", "z": "y + 2", "k": "z + 7", "i": "k + 18", "v": "h + 8", "x": "v + 20", "g": "x + 3", "t": "g + 18", "w": "t + 13", "e": "w + 4", "h": 3}, "premises": {"h": 3}, "target": "i"}, "answer": {"steps": [["k", "z + 7", "z + 25"], ["z", "y + 2", "y + 27"], ["y", "p + 5", "p + 32"], ["p", "m + 3", "m + 35"], ["m", "h + 15", "h + 50"], ["h", 3, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"h": 3}, "is_reverse": true}} | 5,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 8; k = z + 7; m = h + 15; z = y + 2; x = v + 20; i = k + 18; p = m + 3; g = x + 3; t = g + 18; h = 3; y = p + 5; w = t + 13; e = w + 4. If h = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 7 to i, which gives i = z + 25.\n2. Substitute z = y + 2 to i, which gives i = y + 27.\n3. Substitute y = p + 5 to i, which gives i = p + 32.\n4. Substitute p = m + 3 to i, which gives i = m + 35.\n5. Substitute m = h + 15 to i, which gives i = h + 50.\n6. Substitute h = 3 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 5974,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 8; k = z + 7; m = h + 15; z = y + 2; x = v + 20; i = k + 18; p = m + 3; g = x + 3; t = g + 18; h = 3; y = p + 5; w = t + 13; e = w + 4. If h = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 5", "v": "f + 8", "l": "v + 8", "p": "l + 5", "i": "p + 9", "w": "i + 8", "n": "t + 2", "d": "n + 6", "x": "d + 9", "h": "x + 5", "m": "h + 7", "g": "m + 1", "t": 2}, "premises": {"t": 2}, "target": "w"}, "answer": {"steps": [["i", "p + 9", "p + 17"], ["p", "l + 5", "l + 22"], ["l", "v + 8", "v + 30"], ["v", "f + 8", "f + 38"], ["f", "t + 5", "t + 43"], ["t", 2, "45"]], "target_var_name": "w", "target_value": 45, "value_dict": {"t": 2}, "is_reverse": true}} | 5,975 | 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 = h + 7; t = 2; f = t + 5; d = n + 6; p = l + 5; n = t + 2; l = v + 8; g = m + 1; v = f + 8; x = d + 9; h = x + 5; i = p + 9; w = i + 8. If t = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 9 to w, which gives w = p + 17.\n2. Substitute p = l + 5 to w, which gives w = l + 22.\n3. Substitute l = v + 8 to w, which gives w = v + 30.\n4. Substitute v = f + 8 to w, which gives w = f + 38.\n5. Substitute f = t + 5 to w, which gives w = t + 43.\n6. Substitute t = 2 to w, which gives w = 45.\n\nThus, the final answer is w = \\boxed{45}.",
"index": 5975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 7; t = 2; f = t + 5; d = n + 6; p = l + 5; n = t + 2; l = v + 8; g = m + 1; v = f + 8; x = d + 9; h = x + 5; i = p + 9; w = i + 8. If t = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 17", "r": "v + 3", "t": "r + 9", "a": "t + 14", "p": "a + 5", "x": "p + 14", "e": "c + 13", "z": "e + 12", "u": "z + 4", "l": "u + 3", "i": "l + 16", "g": "i + 11", "c": 7}, "premises": {"c": 7}, "target": "x"}, "answer": {"steps": [["p", "a + 5", "a + 19"], ["a", "t + 14", "t + 33"], ["t", "r + 9", "r + 42"], ["r", "v + 3", "v + 45"], ["v", "c + 17", "c + 62"], ["c", 7, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"c": 7}, "is_reverse": true}} | 5,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 3; e = c + 13; a = t + 14; g = i + 11; z = e + 12; t = r + 9; v = c + 17; x = p + 14; r = v + 3; i = l + 16; u = z + 4; p = a + 5; c = 7. Given that c = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 5 to x, which gives x = a + 19.\n2. Substitute a = t + 14 to x, which gives x = t + 33.\n3. Substitute t = r + 9 to x, which gives x = r + 42.\n4. Substitute r = v + 3 to x, which gives x = v + 45.\n5. Substitute v = c + 17 to x, which gives x = c + 62.\n6. Substitute c = 7 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 5976,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 3; e = c + 13; a = t + 14; g = i + 11; z = e + 12; t = r + 9; v = c + 17; x = p + 14; r = v + 3; i = l + 16; u = z + 4; p = a + 5; c = 7. Given that c = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 16", "o": "a + 6", "l": "o + 17", "x": "l + 20", "n": "x + 13", "f": "n + 2", "v": "j + 12", "k": "v + 16", "u": "k + 12", "e": "u + 12", "c": "e + 17", "d": "c + 19", "j": 7}, "premises": {"j": 7}, "target": "f"}, "answer": {"steps": [["n", "x + 13", "x + 15"], ["x", "l + 20", "l + 35"], ["l", "o + 17", "o + 52"], ["o", "a + 6", "a + 58"], ["a", "j + 16", "j + 74"], ["j", 7, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"j": 7}, "is_reverse": true}} | 5,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = j + 16; d = c + 19; u = k + 12; f = n + 2; c = e + 17; j = 7; n = x + 13; k = v + 16; x = l + 20; o = a + 6; v = j + 12; l = o + 17; e = u + 12. Given that j = 7, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 13 to f, which gives f = x + 15.\n2. Substitute x = l + 20 to f, which gives f = l + 35.\n3. Substitute l = o + 17 to f, which gives f = o + 52.\n4. Substitute o = a + 6 to f, which gives f = a + 58.\n5. Substitute a = j + 16 to f, which gives f = j + 74.\n6. Substitute j = 7 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 5977,
"question": "Suppose a collection of variables is related by the following definitions: a = j + 16; d = c + 19; u = k + 12; f = n + 2; c = e + 17; j = 7; n = x + 13; k = v + 16; x = l + 20; o = a + 6; v = j + 12; l = o + 17; e = u + 12. Given that j = 7, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 1", "f": "i + 14", "o": "f + 10", "a": "o + 10", "q": "a + 12", "r": "q + 5", "s": "b + 4", "p": "s + 5", "u": "p + 2", "v": "u + 7", "e": "v + 18", "m": "e + 1", "b": 2}, "premises": {"b": 2}, "target": "r"}, "answer": {"steps": [["q", "a + 12", "a + 17"], ["a", "o + 10", "o + 27"], ["o", "f + 10", "f + 37"], ["f", "i + 14", "i + 51"], ["i", "b + 1", "b + 52"], ["b", 2, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"b": 2}, "is_reverse": true}} | 5,978 | 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 + 10; r = q + 5; f = i + 14; a = o + 10; s = b + 4; m = e + 1; b = 2; v = u + 7; u = p + 2; q = a + 12; p = s + 5; e = v + 18; i = b + 1. If b = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 12 to r, which gives r = a + 17.\n2. Substitute a = o + 10 to r, which gives r = o + 27.\n3. Substitute o = f + 10 to r, which gives r = f + 37.\n4. Substitute f = i + 14 to r, which gives r = i + 51.\n5. Substitute i = b + 1 to r, which gives r = b + 52.\n6. Substitute b = 2 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 5978,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 10; r = q + 5; f = i + 14; a = o + 10; s = b + 4; m = e + 1; b = 2; v = u + 7; u = p + 2; q = a + 12; p = s + 5; e = v + 18; i = b + 1. If b = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 12", "o": "x + 16", "f": "o + 7", "v": "f + 12", "l": "v + 15", "w": "l + 20", "t": "n + 4", "e": "t + 7", "r": "e + 13", "s": "r + 12", "q": "s + 17", "i": "q + 8", "n": 15}, "premises": {"n": 15}, "target": "w"}, "answer": {"steps": [["l", "v + 15", "v + 35"], ["v", "f + 12", "f + 47"], ["f", "o + 7", "o + 54"], ["o", "x + 16", "x + 70"], ["x", "n + 12", "n + 82"], ["n", 15, "97"]], "target_var_name": "w", "target_value": 97, "value_dict": {"n": 15}, "is_reverse": true}} | 5,979 | 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 = e + 13; f = o + 7; e = t + 7; l = v + 15; n = 15; w = l + 20; i = q + 8; s = r + 12; t = n + 4; q = s + 17; v = f + 12; o = x + 16; x = n + 12. If n = 15, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 15 to w, which gives w = v + 35.\n2. Substitute v = f + 12 to w, which gives w = f + 47.\n3. Substitute f = o + 7 to w, which gives w = o + 54.\n4. Substitute o = x + 16 to w, which gives w = x + 70.\n5. Substitute x = n + 12 to w, which gives w = n + 82.\n6. Substitute n = 15 to w, which gives w = 97.\n\nThus, the final answer is w = \\boxed{97}.",
"index": 5979,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = e + 13; f = o + 7; e = t + 7; l = v + 15; n = 15; w = l + 20; i = q + 8; s = r + 12; t = n + 4; q = s + 17; v = f + 12; o = x + 16; x = n + 12. If n = 15, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 19", "t": "o + 6", "a": "t + 8", "n": "a + 8", "f": "n + 15", "p": "f + 2", "x": "d + 12", "c": "x + 13", "z": "c + 18", "q": "z + 17", "m": "q + 4", "l": "m + 6", "d": 16}, "premises": {"d": 16}, "target": "p"}, "answer": {"steps": [["f", "n + 15", "n + 17"], ["n", "a + 8", "a + 25"], ["a", "t + 8", "t + 33"], ["t", "o + 6", "o + 39"], ["o", "d + 19", "d + 58"], ["d", 16, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"d": 16}, "is_reverse": true}} | 5,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 19; c = x + 13; p = f + 2; z = c + 18; l = m + 6; f = n + 15; t = o + 6; x = d + 12; d = 16; n = a + 8; q = z + 17; m = q + 4; a = t + 8. If d = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 15 to p, which gives p = n + 17.\n2. Substitute n = a + 8 to p, which gives p = a + 25.\n3. Substitute a = t + 8 to p, which gives p = t + 33.\n4. Substitute t = o + 6 to p, which gives p = o + 39.\n5. Substitute o = d + 19 to p, which gives p = d + 58.\n6. Substitute d = 16 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 5980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 19; c = x + 13; p = f + 2; z = c + 18; l = m + 6; f = n + 15; t = o + 6; x = d + 12; d = 16; n = a + 8; q = z + 17; m = q + 4; a = t + 8. If d = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 16", "z": "n + 8", "r": "z + 18", "m": "r + 4", "v": "m + 15", "d": "v + 17", "j": "p + 1", "u": "j + 4", "q": "u + 1", "o": "q + 20", "w": "o + 1", "l": "w + 20", "p": 4}, "premises": {"p": 4}, "target": "d"}, "answer": {"steps": [["v", "m + 15", "m + 32"], ["m", "r + 4", "r + 36"], ["r", "z + 18", "z + 54"], ["z", "n + 8", "n + 62"], ["n", "p + 16", "p + 78"], ["p", 4, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"p": 4}, "is_reverse": true}} | 5,981 | 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 + 16; d = v + 17; z = n + 8; q = u + 1; j = p + 1; o = q + 20; w = o + 1; m = r + 4; r = z + 18; u = j + 4; l = w + 20; v = m + 15; p = 4. If p = 4, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 15 to d, which gives d = m + 32.\n2. Substitute m = r + 4 to d, which gives d = r + 36.\n3. Substitute r = z + 18 to d, which gives d = z + 54.\n4. Substitute z = n + 8 to d, which gives d = n + 62.\n5. Substitute n = p + 16 to d, which gives d = p + 78.\n6. Substitute p = 4 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 5981,
"question": "Consider a system of variables where each variable is defined as follows: n = p + 16; d = v + 17; z = n + 8; q = u + 1; j = p + 1; o = q + 20; w = o + 1; m = r + 4; r = z + 18; u = j + 4; l = w + 20; v = m + 15; p = 4. If p = 4, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 14", "b": "h + 1", "x": "b + 4", "k": "x + 9", "p": "k + 14", "c": "p + 5", "n": "q + 5", "g": "n + 10", "d": "g + 11", "r": "d + 19", "v": "r + 3", "e": "v + 9", "q": 6}, "premises": {"q": 6}, "target": "c"}, "answer": {"steps": [["p", "k + 14", "k + 19"], ["k", "x + 9", "x + 28"], ["x", "b + 4", "b + 32"], ["b", "h + 1", "h + 33"], ["h", "q + 14", "q + 47"], ["q", 6, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"q": 6}, "is_reverse": true}} | 5,982 | 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 = p + 5; x = b + 4; v = r + 3; r = d + 19; p = k + 14; q = 6; k = x + 9; d = g + 11; b = h + 1; e = v + 9; g = n + 10; h = q + 14; n = q + 5. If q = 6, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 14 to c, which gives c = k + 19.\n2. Substitute k = x + 9 to c, which gives c = x + 28.\n3. Substitute x = b + 4 to c, which gives c = b + 32.\n4. Substitute b = h + 1 to c, which gives c = h + 33.\n5. Substitute h = q + 14 to c, which gives c = q + 47.\n6. Substitute q = 6 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 5982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 5; x = b + 4; v = r + 3; r = d + 19; p = k + 14; q = 6; k = x + 9; d = g + 11; b = h + 1; e = v + 9; g = n + 10; h = q + 14; n = q + 5. If q = 6, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 16", "v": "a + 8", "h": "v + 3", "w": "h + 16", "f": "w + 9", "q": "f + 8", "b": "o + 3", "l": "b + 7", "j": "l + 4", "m": "j + 15", "u": "m + 5", "c": "u + 11", "o": 11}, "premises": {"o": 11}, "target": "q"}, "answer": {"steps": [["f", "w + 9", "w + 17"], ["w", "h + 16", "h + 33"], ["h", "v + 3", "v + 36"], ["v", "a + 8", "a + 44"], ["a", "o + 16", "o + 60"], ["o", 11, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"o": 11}, "is_reverse": true}} | 5,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 5; c = u + 11; m = j + 15; q = f + 8; a = o + 16; o = 11; v = a + 8; l = b + 7; f = w + 9; h = v + 3; j = l + 4; b = o + 3; w = h + 16. If o = 11, what is the resulting 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 f = w + 9 to q, which gives q = w + 17.\n2. Substitute w = h + 16 to q, which gives q = h + 33.\n3. Substitute h = v + 3 to q, which gives q = v + 36.\n4. Substitute v = a + 8 to q, which gives q = a + 44.\n5. Substitute a = o + 16 to q, which gives q = o + 60.\n6. Substitute o = 11 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 5983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 5; c = u + 11; m = j + 15; q = f + 8; a = o + 16; o = 11; v = a + 8; l = b + 7; f = w + 9; h = v + 3; j = l + 4; b = o + 3; w = h + 16. If o = 11, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 3", "r": "g + 13", "i": "r + 13", "d": "i + 16", "a": "d + 12", "e": "a + 13", "q": "l + 13", "y": "q + 5", "u": "y + 20", "k": "u + 1", "f": "k + 3", "h": "f + 7", "l": 6}, "premises": {"l": 6}, "target": "e"}, "answer": {"steps": [["a", "d + 12", "d + 25"], ["d", "i + 16", "i + 41"], ["i", "r + 13", "r + 54"], ["r", "g + 13", "g + 67"], ["g", "l + 3", "l + 70"], ["l", 6, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"l": 6}, "is_reverse": true}} | 5,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 1; h = f + 7; i = r + 13; e = a + 13; y = q + 5; r = g + 13; u = y + 20; f = k + 3; d = i + 16; a = d + 12; q = l + 13; l = 6; g = l + 3. If l = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 12 to e, which gives e = d + 25.\n2. Substitute d = i + 16 to e, which gives e = i + 41.\n3. Substitute i = r + 13 to e, which gives e = r + 54.\n4. Substitute r = g + 13 to e, which gives e = g + 67.\n5. Substitute g = l + 3 to e, which gives e = l + 70.\n6. Substitute l = 6 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 5984,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 1; h = f + 7; i = r + 13; e = a + 13; y = q + 5; r = g + 13; u = y + 20; f = k + 3; d = i + 16; a = d + 12; q = l + 13; l = 6; g = l + 3. If l = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 20", "w": "m + 6", "p": "w + 3", "t": "p + 2", "q": "t + 6", "b": "q + 10", "z": "h + 2", "e": "z + 7", "j": "e + 19", "d": "j + 10", "x": "d + 19", "a": "x + 8", "h": 20}, "premises": {"h": 20}, "target": "b"}, "answer": {"steps": [["q", "t + 6", "t + 16"], ["t", "p + 2", "p + 18"], ["p", "w + 3", "w + 21"], ["w", "m + 6", "m + 27"], ["m", "h + 20", "h + 47"], ["h", 20, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"h": 20}, "is_reverse": true}} | 5,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 7; w = m + 6; d = j + 10; j = e + 19; h = 20; z = h + 2; b = q + 10; t = p + 2; q = t + 6; a = x + 8; p = w + 3; x = d + 19; m = h + 20. If h = 20, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 6 to b, which gives b = t + 16.\n2. Substitute t = p + 2 to b, which gives b = p + 18.\n3. Substitute p = w + 3 to b, which gives b = w + 21.\n4. Substitute w = m + 6 to b, which gives b = m + 27.\n5. Substitute m = h + 20 to b, which gives b = h + 47.\n6. Substitute h = 20 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 5985,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 7; w = m + 6; d = j + 10; j = e + 19; h = 20; z = h + 2; b = q + 10; t = p + 2; q = t + 6; a = x + 8; p = w + 3; x = d + 19; m = h + 20. If h = 20, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 10", "g": "v + 14", "n": "g + 10", "z": "n + 16", "c": "z + 19", "x": "c + 12", "k": "d + 18", "h": "k + 20", "s": "h + 4", "a": "s + 20", "m": "a + 19", "o": "m + 13", "d": 7}, "premises": {"d": 7}, "target": "x"}, "answer": {"steps": [["c", "z + 19", "z + 31"], ["z", "n + 16", "n + 47"], ["n", "g + 10", "g + 57"], ["g", "v + 14", "v + 71"], ["v", "d + 10", "d + 81"], ["d", 7, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"d": 7}, "is_reverse": true}} | 5,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 20; k = d + 18; x = c + 12; a = s + 20; v = d + 10; c = z + 19; z = n + 16; m = a + 19; n = g + 10; g = v + 14; o = m + 13; s = h + 4; d = 7. If d = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 19 to x, which gives x = z + 31.\n2. Substitute z = n + 16 to x, which gives x = n + 47.\n3. Substitute n = g + 10 to x, which gives x = g + 57.\n4. Substitute g = v + 14 to x, which gives x = v + 71.\n5. Substitute v = d + 10 to x, which gives x = d + 81.\n6. Substitute d = 7 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 5986,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 20; k = d + 18; x = c + 12; a = s + 20; v = d + 10; c = z + 19; z = n + 16; m = a + 19; n = g + 10; g = v + 14; o = m + 13; s = h + 4; d = 7. If d = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 6", "a": "t + 2", "v": "a + 14", "s": "v + 8", "i": "s + 4", "d": "i + 5", "k": "z + 4", "q": "k + 5", "g": "q + 3", "l": "g + 15", "h": "l + 5", "p": "h + 8", "z": 19}, "premises": {"z": 19}, "target": "d"}, "answer": {"steps": [["i", "s + 4", "s + 9"], ["s", "v + 8", "v + 17"], ["v", "a + 14", "a + 31"], ["a", "t + 2", "t + 33"], ["t", "z + 6", "z + 39"], ["z", 19, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"z": 19}, "is_reverse": true}} | 5,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 5; l = g + 15; d = i + 5; t = z + 6; v = a + 14; k = z + 4; i = s + 4; h = l + 5; a = t + 2; g = q + 3; p = h + 8; z = 19; s = v + 8. Given that z = 19, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 4 to d, which gives d = s + 9.\n2. Substitute s = v + 8 to d, which gives d = v + 17.\n3. Substitute v = a + 14 to d, which gives d = a + 31.\n4. Substitute a = t + 2 to d, which gives d = t + 33.\n5. Substitute t = z + 6 to d, which gives d = z + 39.\n6. Substitute z = 19 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 5987,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 5; l = g + 15; d = i + 5; t = z + 6; v = a + 14; k = z + 4; i = s + 4; h = l + 5; a = t + 2; g = q + 3; p = h + 8; z = 19; s = v + 8. Given that z = 19, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 2", "d": "h + 19", "k": "d + 16", "r": "k + 5", "b": "r + 8", "t": "b + 16", "c": "p + 13", "n": "c + 8", "i": "n + 12", "f": "i + 12", "y": "f + 6", "x": "y + 15", "p": 9}, "premises": {"p": 9}, "target": "t"}, "answer": {"steps": [["b", "r + 8", "r + 24"], ["r", "k + 5", "k + 29"], ["k", "d + 16", "d + 45"], ["d", "h + 19", "h + 64"], ["h", "p + 2", "p + 66"], ["p", 9, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"p": 9}, "is_reverse": true}} | 5,988 | 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 + 15; d = h + 19; i = n + 12; f = i + 12; k = d + 16; r = k + 5; p = 9; n = c + 8; c = p + 13; h = p + 2; y = f + 6; b = r + 8; t = b + 16. If p = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 8 to t, which gives t = r + 24.\n2. Substitute r = k + 5 to t, which gives t = k + 29.\n3. Substitute k = d + 16 to t, which gives t = d + 45.\n4. Substitute d = h + 19 to t, which gives t = h + 64.\n5. Substitute h = p + 2 to t, which gives t = p + 66.\n6. Substitute p = 9 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 5988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 15; d = h + 19; i = n + 12; f = i + 12; k = d + 16; r = k + 5; p = 9; n = c + 8; c = p + 13; h = p + 2; y = f + 6; b = r + 8; t = b + 16. If p = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 19", "q": "m + 2", "x": "q + 17", "v": "x + 11", "d": "v + 13", "b": "d + 5", "e": "t + 12", "w": "e + 13", "j": "w + 11", "k": "j + 8", "g": "k + 9", "y": "g + 15", "t": 8}, "premises": {"t": 8}, "target": "b"}, "answer": {"steps": [["d", "v + 13", "v + 18"], ["v", "x + 11", "x + 29"], ["x", "q + 17", "q + 46"], ["q", "m + 2", "m + 48"], ["m", "t + 19", "t + 67"], ["t", 8, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"t": 8}, "is_reverse": true}} | 5,989 | 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 = t + 19; q = m + 2; w = e + 13; y = g + 15; b = d + 5; v = x + 11; k = j + 8; g = k + 9; x = q + 17; d = v + 13; e = t + 12; j = w + 11; t = 8. If t = 8, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 13 to b, which gives b = v + 18.\n2. Substitute v = x + 11 to b, which gives b = x + 29.\n3. Substitute x = q + 17 to b, which gives b = q + 46.\n4. Substitute q = m + 2 to b, which gives b = m + 48.\n5. Substitute m = t + 19 to b, which gives b = t + 67.\n6. Substitute t = 8 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 5989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 19; q = m + 2; w = e + 13; y = g + 15; b = d + 5; v = x + 11; k = j + 8; g = k + 9; x = q + 17; d = v + 13; e = t + 12; j = w + 11; t = 8. If t = 8, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 2", "o": "k + 4", "c": "o + 6", "r": "c + 18", "h": "r + 19", "g": "h + 19", "z": "p + 1", "e": "z + 1", "a": "e + 14", "v": "a + 11", "m": "v + 8", "j": "m + 4", "p": 12}, "premises": {"p": 12}, "target": "g"}, "answer": {"steps": [["h", "r + 19", "r + 38"], ["r", "c + 18", "c + 56"], ["c", "o + 6", "o + 62"], ["o", "k + 4", "k + 66"], ["k", "p + 2", "p + 68"], ["p", 12, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"p": 12}, "is_reverse": true}} | 5,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 4; p = 12; h = r + 19; o = k + 4; k = p + 2; a = e + 14; g = h + 19; r = c + 18; c = o + 6; z = p + 1; e = z + 1; v = a + 11; m = v + 8. If p = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 19 to g, which gives g = r + 38.\n2. Substitute r = c + 18 to g, which gives g = c + 56.\n3. Substitute c = o + 6 to g, which gives g = o + 62.\n4. Substitute o = k + 4 to g, which gives g = k + 66.\n5. Substitute k = p + 2 to g, which gives g = p + 68.\n6. Substitute p = 12 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 5990,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 4; p = 12; h = r + 19; o = k + 4; k = p + 2; a = e + 14; g = h + 19; r = c + 18; c = o + 6; z = p + 1; e = z + 1; v = a + 11; m = v + 8. If p = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 18", "f": "b + 10", "q": "f + 6", "v": "q + 19", "r": "v + 2", "c": "r + 16", "e": "s + 16", "j": "e + 17", "n": "j + 20", "l": "n + 1", "h": "l + 15", "x": "h + 15", "s": 7}, "premises": {"s": 7}, "target": "c"}, "answer": {"steps": [["r", "v + 2", "v + 18"], ["v", "q + 19", "q + 37"], ["q", "f + 6", "f + 43"], ["f", "b + 10", "b + 53"], ["b", "s + 18", "s + 71"], ["s", 7, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"s": 7}, "is_reverse": true}} | 5,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 20; q = f + 6; v = q + 19; s = 7; l = n + 1; h = l + 15; j = e + 17; f = b + 10; b = s + 18; x = h + 15; r = v + 2; e = s + 16; c = r + 16. If s = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 2 to c, which gives c = v + 18.\n2. Substitute v = q + 19 to c, which gives c = q + 37.\n3. Substitute q = f + 6 to c, which gives c = f + 43.\n4. Substitute f = b + 10 to c, which gives c = b + 53.\n5. Substitute b = s + 18 to c, which gives c = s + 71.\n6. Substitute s = 7 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 5991,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 20; q = f + 6; v = q + 19; s = 7; l = n + 1; h = l + 15; j = e + 17; f = b + 10; b = s + 18; x = h + 15; r = v + 2; e = s + 16; c = r + 16. If s = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 13", "o": "b + 17", "f": "o + 1", "t": "f + 20", "v": "t + 17", "i": "v + 19", "q": "p + 19", "c": "q + 2", "r": "c + 9", "s": "r + 20", "w": "s + 12", "n": "w + 2", "p": 9}, "premises": {"p": 9}, "target": "i"}, "answer": {"steps": [["v", "t + 17", "t + 36"], ["t", "f + 20", "f + 56"], ["f", "o + 1", "o + 57"], ["o", "b + 17", "b + 74"], ["b", "p + 13", "p + 87"], ["p", 9, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"p": 9}, "is_reverse": true}} | 5,992 | 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 = q + 2; q = p + 19; n = w + 2; w = s + 12; t = f + 20; i = v + 19; b = p + 13; p = 9; r = c + 9; f = o + 1; o = b + 17; s = r + 20; v = t + 17. If p = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 17 to i, which gives i = t + 36.\n2. Substitute t = f + 20 to i, which gives i = f + 56.\n3. Substitute f = o + 1 to i, which gives i = o + 57.\n4. Substitute o = b + 17 to i, which gives i = b + 74.\n5. Substitute b = p + 13 to i, which gives i = p + 87.\n6. Substitute p = 9 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 5992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 2; q = p + 19; n = w + 2; w = s + 12; t = f + 20; i = v + 19; b = p + 13; p = 9; r = c + 9; f = o + 1; o = b + 17; s = r + 20; v = t + 17. If p = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 8", "h": "i + 19", "t": "h + 8", "z": "t + 16", "c": "z + 14", "o": "c + 3", "q": "f + 11", "k": "q + 4", "e": "k + 19", "x": "e + 9", "v": "x + 18", "p": "v + 12", "f": 10}, "premises": {"f": 10}, "target": "o"}, "answer": {"steps": [["c", "z + 14", "z + 17"], ["z", "t + 16", "t + 33"], ["t", "h + 8", "h + 41"], ["h", "i + 19", "i + 60"], ["i", "f + 8", "f + 68"], ["f", 10, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"f": 10}, "is_reverse": true}} | 5,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 8; e = k + 19; c = z + 14; x = e + 9; p = v + 12; k = q + 4; f = 10; h = i + 19; o = c + 3; v = x + 18; i = f + 8; q = f + 11; z = t + 16. If f = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 14 to o, which gives o = z + 17.\n2. Substitute z = t + 16 to o, which gives o = t + 33.\n3. Substitute t = h + 8 to o, which gives o = h + 41.\n4. Substitute h = i + 19 to o, which gives o = i + 60.\n5. Substitute i = f + 8 to o, which gives o = f + 68.\n6. Substitute f = 10 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 5993,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 8; e = k + 19; c = z + 14; x = e + 9; p = v + 12; k = q + 4; f = 10; h = i + 19; o = c + 3; v = x + 18; i = f + 8; q = f + 11; z = t + 16. If f = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 20", "h": "l + 19", "g": "h + 3", "c": "g + 8", "w": "c + 3", "x": "w + 12", "v": "q + 6", "n": "v + 5", "b": "n + 13", "j": "b + 11", "z": "j + 7", "o": "z + 14", "q": 18}, "premises": {"q": 18}, "target": "x"}, "answer": {"steps": [["w", "c + 3", "c + 15"], ["c", "g + 8", "g + 23"], ["g", "h + 3", "h + 26"], ["h", "l + 19", "l + 45"], ["l", "q + 20", "q + 65"], ["q", 18, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"q": 18}, "is_reverse": true}} | 5,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 6; b = n + 13; w = c + 3; h = l + 19; q = 18; l = q + 20; z = j + 7; c = g + 8; x = w + 12; n = v + 5; o = z + 14; j = b + 11; g = h + 3. If q = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 3 to x, which gives x = c + 15.\n2. Substitute c = g + 8 to x, which gives x = g + 23.\n3. Substitute g = h + 3 to x, which gives x = h + 26.\n4. Substitute h = l + 19 to x, which gives x = l + 45.\n5. Substitute l = q + 20 to x, which gives x = q + 65.\n6. Substitute q = 18 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 5994,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 6; b = n + 13; w = c + 3; h = l + 19; q = 18; l = q + 20; z = j + 7; c = g + 8; x = w + 12; n = v + 5; o = z + 14; j = b + 11; g = h + 3. If q = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 3", "r": "e + 9", "i": "r + 15", "z": "i + 19", "p": "z + 16", "f": "p + 19", "g": "h + 15", "q": "g + 20", "b": "q + 17", "c": "b + 14", "w": "c + 5", "d": "w + 14", "h": 13}, "premises": {"h": 13}, "target": "f"}, "answer": {"steps": [["p", "z + 16", "z + 35"], ["z", "i + 19", "i + 54"], ["i", "r + 15", "r + 69"], ["r", "e + 9", "e + 78"], ["e", "h + 3", "h + 81"], ["h", 13, "94"]], "target_var_name": "f", "target_value": 94, "value_dict": {"h": 13}, "is_reverse": true}} | 5,995 | 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 = g + 20; h = 13; p = z + 16; g = h + 15; i = r + 15; c = b + 14; d = w + 14; z = i + 19; w = c + 5; f = p + 19; r = e + 9; b = q + 17; e = h + 3. If h = 13, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 16 to f, which gives f = z + 35.\n2. Substitute z = i + 19 to f, which gives f = i + 54.\n3. Substitute i = r + 15 to f, which gives f = r + 69.\n4. Substitute r = e + 9 to f, which gives f = e + 78.\n5. Substitute e = h + 3 to f, which gives f = h + 81.\n6. Substitute h = 13 to f, which gives f = 94.\n\nThus, the final answer is f = \\boxed{94}.",
"index": 5995,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 20; h = 13; p = z + 16; g = h + 15; i = r + 15; c = b + 14; d = w + 14; z = i + 19; w = c + 5; f = p + 19; r = e + 9; b = q + 17; e = h + 3. If h = 13, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 4", "c": "p + 2", "b": "c + 7", "q": "b + 3", "d": "q + 11", "w": "d + 8", "z": "u + 5", "t": "z + 16", "k": "t + 5", "a": "k + 11", "o": "a + 17", "r": "o + 20", "u": 20}, "premises": {"u": 20}, "target": "w"}, "answer": {"steps": [["d", "q + 11", "q + 19"], ["q", "b + 3", "b + 22"], ["b", "c + 7", "c + 29"], ["c", "p + 2", "p + 31"], ["p", "u + 4", "u + 35"], ["u", 20, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"u": 20}, "is_reverse": true}} | 5,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 7; o = a + 17; z = u + 5; d = q + 11; t = z + 16; a = k + 11; r = o + 20; p = u + 4; u = 20; c = p + 2; q = b + 3; w = d + 8; k = t + 5. If u = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 11 to w, which gives w = q + 19.\n2. Substitute q = b + 3 to w, which gives w = b + 22.\n3. Substitute b = c + 7 to w, which gives w = c + 29.\n4. Substitute c = p + 2 to w, which gives w = p + 31.\n5. Substitute p = u + 4 to w, which gives w = u + 35.\n6. Substitute u = 20 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 5996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 7; o = a + 17; z = u + 5; d = q + 11; t = z + 16; a = k + 11; r = o + 20; p = u + 4; u = 20; c = p + 2; q = b + 3; w = d + 8; k = t + 5. If u = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 17", "r": "f + 4", "a": "r + 3", "q": "a + 1", "u": "q + 15", "t": "u + 7", "o": "v + 1", "m": "o + 7", "k": "m + 10", "e": "k + 15", "l": "e + 16", "w": "l + 1", "v": 8}, "premises": {"v": 8}, "target": "t"}, "answer": {"steps": [["u", "q + 15", "q + 22"], ["q", "a + 1", "a + 23"], ["a", "r + 3", "r + 26"], ["r", "f + 4", "f + 30"], ["f", "v + 17", "v + 47"], ["v", 8, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"v": 8}, "is_reverse": true}} | 5,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 8; w = l + 1; r = f + 4; f = v + 17; o = v + 1; q = a + 1; l = e + 16; e = k + 15; k = m + 10; a = r + 3; t = u + 7; u = q + 15; m = o + 7. Given that v = 8, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 15 to t, which gives t = q + 22.\n2. Substitute q = a + 1 to t, which gives t = a + 23.\n3. Substitute a = r + 3 to t, which gives t = r + 26.\n4. Substitute r = f + 4 to t, which gives t = f + 30.\n5. Substitute f = v + 17 to t, which gives t = v + 47.\n6. Substitute v = 8 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 5997,
"question": "Suppose a collection of variables is related by the following definitions: v = 8; w = l + 1; r = f + 4; f = v + 17; o = v + 1; q = a + 1; l = e + 16; e = k + 15; k = m + 10; a = r + 3; t = u + 7; u = q + 15; m = o + 7. Given that v = 8, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 3", "c": "l + 19", "n": "c + 9", "v": "n + 20", "t": "v + 19", "k": "t + 15", "w": "r + 3", "d": "w + 12", "q": "d + 20", "f": "q + 13", "e": "f + 12", "o": "e + 20", "r": 19}, "premises": {"r": 19}, "target": "k"}, "answer": {"steps": [["t", "v + 19", "v + 34"], ["v", "n + 20", "n + 54"], ["n", "c + 9", "c + 63"], ["c", "l + 19", "l + 82"], ["l", "r + 3", "r + 85"], ["r", 19, "104"]], "target_var_name": "k", "target_value": 104, "value_dict": {"r": 19}, "is_reverse": true}} | 5,998 | 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 = e + 20; w = r + 3; v = n + 20; f = q + 13; t = v + 19; q = d + 20; d = w + 12; l = r + 3; n = c + 9; c = l + 19; k = t + 15; r = 19; e = f + 12. If r = 19, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 19 to k, which gives k = v + 34.\n2. Substitute v = n + 20 to k, which gives k = n + 54.\n3. Substitute n = c + 9 to k, which gives k = c + 63.\n4. Substitute c = l + 19 to k, which gives k = l + 82.\n5. Substitute l = r + 3 to k, which gives k = r + 85.\n6. Substitute r = 19 to k, which gives k = 104.\n\nThus, the final answer is k = \\boxed{104}.",
"index": 5998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 20; w = r + 3; v = n + 20; f = q + 13; t = v + 19; q = d + 20; d = w + 12; l = r + 3; n = c + 9; c = l + 19; k = t + 15; r = 19; e = f + 12. If r = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 20", "s": "y + 4", "l": "s + 5", "k": "l + 7", "j": "k + 16", "f": "j + 10", "h": "i + 2", "u": "h + 3", "c": "u + 9", "d": "c + 10", "x": "d + 11", "w": "x + 11", "i": 1}, "premises": {"i": 1}, "target": "f"}, "answer": {"steps": [["j", "k + 16", "k + 26"], ["k", "l + 7", "l + 33"], ["l", "s + 5", "s + 38"], ["s", "y + 4", "y + 42"], ["y", "i + 20", "i + 62"], ["i", 1, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"i": 1}, "is_reverse": true}} | 5,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 16; x = d + 11; i = 1; c = u + 9; f = j + 10; d = c + 10; w = x + 11; s = y + 4; l = s + 5; u = h + 3; y = i + 20; h = i + 2; k = l + 7. If i = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 16 to f, which gives f = k + 26.\n2. Substitute k = l + 7 to f, which gives f = l + 33.\n3. Substitute l = s + 5 to f, which gives f = s + 38.\n4. Substitute s = y + 4 to f, which gives f = y + 42.\n5. Substitute y = i + 20 to f, which gives f = i + 62.\n6. Substitute i = 1 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 5999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 16; x = d + 11; i = 1; c = u + 9; f = j + 10; d = c + 10; w = x + 11; s = y + 4; l = s + 5; u = h + 3; y = i + 20; h = i + 2; k = l + 7. If i = 1, what is the resulting value of f?",
"split": "train"
} |
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