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": {"g": "d + 4", "i": "g + 16", "c": "i + 15", "v": "c + 12", "q": "v + 11", "t": "q + 9", "s": "d + 17", "u": "s + 1", "e": "u + 20", "f": "e + 7", "h": "f + 16", "m": "h + 10", "d": 3}, "premises": {"d": 3}, "target": "t"}, "answer": {"steps": [["q", "v + 11", "v + 20"], ["v", "c + 12", "c + 32"], ["c", "i + 15", "i + 47"], ["i", "g + 16", "g + 63"], ["g", "d + 4", "d + 67"], ["d", 3, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"d": 3}, "is_reverse": true}} | 7,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 1; g = d + 4; v = c + 12; t = q + 9; d = 3; q = v + 11; i = g + 16; f = e + 7; s = d + 17; e = u + 20; c = i + 15; h = f + 16; m = h + 10. If d = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 11 to t, which gives t = v + 20.\n2. Substitute v = c + 12 to t, which gives t = c + 32.\n3. Substitute c = i + 15 to t, which gives t = i + 47.\n4. Substitute i = g + 16 to t, which gives t = g + 63.\n5. Substitute g = d + 4 to t, which gives t = d + 67.\n6. Substitute d = 3 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 7800,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 1; g = d + 4; v = c + 12; t = q + 9; d = 3; q = v + 11; i = g + 16; f = e + 7; s = d + 17; e = u + 20; c = i + 15; h = f + 16; m = h + 10. If d = 3, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 17", "f": "q + 14", "m": "f + 13", "g": "m + 17", "z": "g + 15", "y": "z + 7", "i": "b + 9", "x": "i + 2", "a": "x + 14", "o": "a + 11", "s": "o + 11", "l": "s + 17", "b": 3}, "premises": {"b": 3}, "target": "y"}, "answer": {"steps": [["z", "g + 15", "g + 22"], ["g", "m + 17", "m + 39"], ["m", "f + 13", "f + 52"], ["f", "q + 14", "q + 66"], ["q", "b + 17", "b + 83"], ["b", 3, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"b": 3}, "is_reverse": true}} | 7,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 7; m = f + 13; a = x + 14; x = i + 2; z = g + 15; o = a + 11; b = 3; g = m + 17; s = o + 11; i = b + 9; q = b + 17; f = q + 14; l = s + 17. If b = 3, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 15 to y, which gives y = g + 22.\n2. Substitute g = m + 17 to y, which gives y = m + 39.\n3. Substitute m = f + 13 to y, which gives y = f + 52.\n4. Substitute f = q + 14 to y, which gives y = q + 66.\n5. Substitute q = b + 17 to y, which gives y = b + 83.\n6. Substitute b = 3 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 7801,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 7; m = f + 13; a = x + 14; x = i + 2; z = g + 15; o = a + 11; b = 3; g = m + 17; s = o + 11; i = b + 9; q = b + 17; f = q + 14; l = s + 17. If b = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 16", "d": "n + 4", "m": "d + 6", "p": "m + 6", "i": "p + 12", "e": "i + 3", "o": "y + 6", "v": "o + 20", "q": "v + 5", "z": "q + 19", "j": "z + 15", "c": "j + 17", "y": 15}, "premises": {"y": 15}, "target": "e"}, "answer": {"steps": [["i", "p + 12", "p + 15"], ["p", "m + 6", "m + 21"], ["m", "d + 6", "d + 27"], ["d", "n + 4", "n + 31"], ["n", "y + 16", "y + 47"], ["y", 15, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"y": 15}, "is_reverse": true}} | 7,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 19; p = m + 6; n = y + 16; j = z + 15; q = v + 5; m = d + 6; o = y + 6; y = 15; i = p + 12; c = j + 17; d = n + 4; v = o + 20; e = i + 3. If y = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 12 to e, which gives e = p + 15.\n2. Substitute p = m + 6 to e, which gives e = m + 21.\n3. Substitute m = d + 6 to e, which gives e = d + 27.\n4. Substitute d = n + 4 to e, which gives e = n + 31.\n5. Substitute n = y + 16 to e, which gives e = y + 47.\n6. Substitute y = 15 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 7802,
"question": "Consider a system of variables where each variable is defined as follows: z = q + 19; p = m + 6; n = y + 16; j = z + 15; q = v + 5; m = d + 6; o = y + 6; y = 15; i = p + 12; c = j + 17; d = n + 4; v = o + 20; e = i + 3. If y = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 2", "u": "j + 17", "p": "u + 20", "a": "p + 12", "d": "a + 2", "x": "d + 4", "y": "i + 5", "h": "y + 8", "m": "h + 14", "n": "m + 12", "o": "n + 20", "l": "o + 5", "i": 14}, "premises": {"i": 14}, "target": "x"}, "answer": {"steps": [["d", "a + 2", "a + 6"], ["a", "p + 12", "p + 18"], ["p", "u + 20", "u + 38"], ["u", "j + 17", "j + 55"], ["j", "i + 2", "i + 57"], ["i", 14, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"i": 14}, "is_reverse": true}} | 7,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 5; y = i + 5; a = p + 12; p = u + 20; m = h + 14; j = i + 2; d = a + 2; u = j + 17; n = m + 12; x = d + 4; i = 14; h = y + 8; o = n + 20. If i = 14, determine the 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 d = a + 2 to x, which gives x = a + 6.\n2. Substitute a = p + 12 to x, which gives x = p + 18.\n3. Substitute p = u + 20 to x, which gives x = u + 38.\n4. Substitute u = j + 17 to x, which gives x = j + 55.\n5. Substitute j = i + 2 to x, which gives x = i + 57.\n6. Substitute i = 14 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 7803,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 5; y = i + 5; a = p + 12; p = u + 20; m = h + 14; j = i + 2; d = a + 2; u = j + 17; n = m + 12; x = d + 4; i = 14; h = y + 8; o = n + 20. If i = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 1", "m": "h + 11", "v": "m + 20", "s": "v + 16", "k": "s + 2", "a": "k + 2", "j": "u + 18", "x": "j + 8", "e": "x + 17", "d": "e + 19", "q": "d + 6", "y": "q + 15", "u": 3}, "premises": {"u": 3}, "target": "a"}, "answer": {"steps": [["k", "s + 2", "s + 4"], ["s", "v + 16", "v + 20"], ["v", "m + 20", "m + 40"], ["m", "h + 11", "h + 51"], ["h", "u + 1", "u + 52"], ["u", 3, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"u": 3}, "is_reverse": true}} | 7,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 8; d = e + 19; y = q + 15; a = k + 2; h = u + 1; m = h + 11; q = d + 6; s = v + 16; e = x + 17; j = u + 18; k = s + 2; v = m + 20; u = 3. Given that u = 3, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 2 to a, which gives a = s + 4.\n2. Substitute s = v + 16 to a, which gives a = v + 20.\n3. Substitute v = m + 20 to a, which gives a = m + 40.\n4. Substitute m = h + 11 to a, which gives a = h + 51.\n5. Substitute h = u + 1 to a, which gives a = u + 52.\n6. Substitute u = 3 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 7804,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 8; d = e + 19; y = q + 15; a = k + 2; h = u + 1; m = h + 11; q = d + 6; s = v + 16; e = x + 17; j = u + 18; k = s + 2; v = m + 20; u = 3. Given that u = 3, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 17", "y": "f + 17", "e": "y + 13", "d": "e + 5", "k": "d + 10", "m": "k + 15", "p": "a + 6", "j": "p + 19", "x": "j + 13", "t": "x + 3", "s": "t + 11", "v": "s + 5", "a": 2}, "premises": {"a": 2}, "target": "m"}, "answer": {"steps": [["k", "d + 10", "d + 25"], ["d", "e + 5", "e + 30"], ["e", "y + 13", "y + 43"], ["y", "f + 17", "f + 60"], ["f", "a + 17", "a + 77"], ["a", 2, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"a": 2}, "is_reverse": true}} | 7,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = f + 17; j = p + 19; x = j + 13; k = d + 10; p = a + 6; m = k + 15; t = x + 3; v = s + 5; d = e + 5; e = y + 13; f = a + 17; a = 2; s = t + 11. If a = 2, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 10 to m, which gives m = d + 25.\n2. Substitute d = e + 5 to m, which gives m = e + 30.\n3. Substitute e = y + 13 to m, which gives m = y + 43.\n4. Substitute y = f + 17 to m, which gives m = f + 60.\n5. Substitute f = a + 17 to m, which gives m = a + 77.\n6. Substitute a = 2 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 7805,
"question": "Consider a system of variables where each variable is defined as follows: y = f + 17; j = p + 19; x = j + 13; k = d + 10; p = a + 6; m = k + 15; t = x + 3; v = s + 5; d = e + 5; e = y + 13; f = a + 17; a = 2; s = t + 11. If a = 2, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 15", "g": "q + 10", "x": "g + 4", "a": "x + 4", "d": "a + 16", "m": "d + 1", "f": "n + 4", "l": "f + 15", "r": "l + 5", "e": "r + 1", "w": "e + 7", "o": "w + 13", "n": 10}, "premises": {"n": 10}, "target": "m"}, "answer": {"steps": [["d", "a + 16", "a + 17"], ["a", "x + 4", "x + 21"], ["x", "g + 4", "g + 25"], ["g", "q + 10", "q + 35"], ["q", "n + 15", "n + 50"], ["n", 10, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"n": 10}, "is_reverse": true}} | 7,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 4; n = 10; r = l + 5; w = e + 7; q = n + 15; m = d + 1; e = r + 1; d = a + 16; o = w + 13; f = n + 4; g = q + 10; x = g + 4; l = f + 15. If n = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 16 to m, which gives m = a + 17.\n2. Substitute a = x + 4 to m, which gives m = x + 21.\n3. Substitute x = g + 4 to m, which gives m = g + 25.\n4. Substitute g = q + 10 to m, which gives m = q + 35.\n5. Substitute q = n + 15 to m, which gives m = n + 50.\n6. Substitute n = 10 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 7806,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 4; n = 10; r = l + 5; w = e + 7; q = n + 15; m = d + 1; e = r + 1; d = a + 16; o = w + 13; f = n + 4; g = q + 10; x = g + 4; l = f + 15. If n = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 9", "g": "x + 20", "n": "g + 6", "j": "n + 20", "k": "j + 12", "z": "k + 12", "s": "a + 11", "t": "s + 7", "e": "t + 14", "m": "e + 6", "y": "m + 13", "p": "y + 9", "a": 6}, "premises": {"a": 6}, "target": "z"}, "answer": {"steps": [["k", "j + 12", "j + 24"], ["j", "n + 20", "n + 44"], ["n", "g + 6", "g + 50"], ["g", "x + 20", "x + 70"], ["x", "a + 9", "a + 79"], ["a", 6, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"a": 6}, "is_reverse": true}} | 7,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = g + 6; e = t + 14; t = s + 7; x = a + 9; a = 6; p = y + 9; j = n + 20; g = x + 20; z = k + 12; m = e + 6; k = j + 12; y = m + 13; s = a + 11. Given that a = 6, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 12 to z, which gives z = j + 24.\n2. Substitute j = n + 20 to z, which gives z = n + 44.\n3. Substitute n = g + 6 to z, which gives z = g + 50.\n4. Substitute g = x + 20 to z, which gives z = x + 70.\n5. Substitute x = a + 9 to z, which gives z = a + 79.\n6. Substitute a = 6 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 7807,
"question": "Suppose a collection of variables is related by the following definitions: n = g + 6; e = t + 14; t = s + 7; x = a + 9; a = 6; p = y + 9; j = n + 20; g = x + 20; z = k + 12; m = e + 6; k = j + 12; y = m + 13; s = a + 11. Given that a = 6, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 4", "j": "f + 4", "t": "j + 7", "c": "t + 16", "z": "c + 20", "r": "z + 6", "q": "d + 3", "n": "q + 13", "w": "n + 11", "i": "w + 12", "u": "i + 6", "y": "u + 15", "d": 1}, "premises": {"d": 1}, "target": "r"}, "answer": {"steps": [["z", "c + 20", "c + 26"], ["c", "t + 16", "t + 42"], ["t", "j + 7", "j + 49"], ["j", "f + 4", "f + 53"], ["f", "d + 4", "d + 57"], ["d", 1, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"d": 1}, "is_reverse": true}} | 7,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 6; z = c + 20; t = j + 7; f = d + 4; n = q + 13; i = w + 12; d = 1; y = u + 15; c = t + 16; j = f + 4; w = n + 11; u = i + 6; q = d + 3. If d = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 20 to r, which gives r = c + 26.\n2. Substitute c = t + 16 to r, which gives r = t + 42.\n3. Substitute t = j + 7 to r, which gives r = j + 49.\n4. Substitute j = f + 4 to r, which gives r = f + 53.\n5. Substitute f = d + 4 to r, which gives r = d + 57.\n6. Substitute d = 1 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 7808,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 6; z = c + 20; t = j + 7; f = d + 4; n = q + 13; i = w + 12; d = 1; y = u + 15; c = t + 16; j = f + 4; w = n + 11; u = i + 6; q = d + 3. If d = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 2", "j": "z + 5", "n": "j + 15", "s": "n + 13", "c": "s + 10", "b": "c + 15", "o": "x + 19", "m": "o + 11", "d": "m + 15", "w": "d + 3", "q": "w + 18", "e": "q + 16", "x": 14}, "premises": {"x": 14}, "target": "b"}, "answer": {"steps": [["c", "s + 10", "s + 25"], ["s", "n + 13", "n + 38"], ["n", "j + 15", "j + 53"], ["j", "z + 5", "z + 58"], ["z", "x + 2", "x + 60"], ["x", 14, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"x": 14}, "is_reverse": true}} | 7,809 | 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 = z + 5; z = x + 2; o = x + 19; c = s + 10; w = d + 3; q = w + 18; n = j + 15; e = q + 16; x = 14; m = o + 11; b = c + 15; s = n + 13; d = m + 15. If x = 14, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 10 to b, which gives b = s + 25.\n2. Substitute s = n + 13 to b, which gives b = n + 38.\n3. Substitute n = j + 15 to b, which gives b = j + 53.\n4. Substitute j = z + 5 to b, which gives b = z + 58.\n5. Substitute z = x + 2 to b, which gives b = x + 60.\n6. Substitute x = 14 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 7809,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 5; z = x + 2; o = x + 19; c = s + 10; w = d + 3; q = w + 18; n = j + 15; e = q + 16; x = 14; m = o + 11; b = c + 15; s = n + 13; d = m + 15. If x = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 2", "o": "v + 11", "n": "o + 5", "f": "n + 20", "q": "f + 12", "j": "q + 3", "x": "h + 12", "s": "x + 1", "l": "s + 16", "w": "l + 11", "y": "w + 15", "d": "y + 5", "h": 5}, "premises": {"h": 5}, "target": "j"}, "answer": {"steps": [["q", "f + 12", "f + 15"], ["f", "n + 20", "n + 35"], ["n", "o + 5", "o + 40"], ["o", "v + 11", "v + 51"], ["v", "h + 2", "h + 53"], ["h", 5, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"h": 5}, "is_reverse": true}} | 7,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 5; f = n + 20; n = o + 5; y = w + 15; x = h + 12; h = 5; o = v + 11; s = x + 1; v = h + 2; l = s + 16; j = q + 3; q = f + 12; w = l + 11. If h = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 12 to j, which gives j = f + 15.\n2. Substitute f = n + 20 to j, which gives j = n + 35.\n3. Substitute n = o + 5 to j, which gives j = o + 40.\n4. Substitute o = v + 11 to j, which gives j = v + 51.\n5. Substitute v = h + 2 to j, which gives j = h + 53.\n6. Substitute h = 5 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 7810,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 5; f = n + 20; n = o + 5; y = w + 15; x = h + 12; h = 5; o = v + 11; s = x + 1; v = h + 2; l = s + 16; j = q + 3; q = f + 12; w = l + 11. If h = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 9", "c": "v + 18", "u": "c + 9", "x": "u + 12", "w": "x + 15", "s": "w + 4", "l": "z + 1", "a": "l + 12", "j": "a + 20", "d": "j + 6", "o": "d + 9", "n": "o + 8", "z": 5}, "premises": {"z": 5}, "target": "s"}, "answer": {"steps": [["w", "x + 15", "x + 19"], ["x", "u + 12", "u + 31"], ["u", "c + 9", "c + 40"], ["c", "v + 18", "v + 58"], ["v", "z + 9", "z + 67"], ["z", 5, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"z": 5}, "is_reverse": true}} | 7,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = u + 12; d = j + 6; w = x + 15; j = a + 20; c = v + 18; l = z + 1; s = w + 4; v = z + 9; a = l + 12; n = o + 8; o = d + 9; u = c + 9; z = 5. If z = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 15 to s, which gives s = x + 19.\n2. Substitute x = u + 12 to s, which gives s = u + 31.\n3. Substitute u = c + 9 to s, which gives s = c + 40.\n4. Substitute c = v + 18 to s, which gives s = v + 58.\n5. Substitute v = z + 9 to s, which gives s = z + 67.\n6. Substitute z = 5 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 7811,
"question": "Consider a system of variables where each variable is defined as follows: x = u + 12; d = j + 6; w = x + 15; j = a + 20; c = v + 18; l = z + 1; s = w + 4; v = z + 9; a = l + 12; n = o + 8; o = d + 9; u = c + 9; z = 5. If z = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 14", "e": "f + 2", "h": "e + 15", "r": "h + 13", "j": "r + 5", "b": "j + 7", "u": "t + 17", "g": "u + 8", "y": "g + 2", "l": "y + 20", "p": "l + 12", "i": "p + 7", "t": 3}, "premises": {"t": 3}, "target": "b"}, "answer": {"steps": [["j", "r + 5", "r + 12"], ["r", "h + 13", "h + 25"], ["h", "e + 15", "e + 40"], ["e", "f + 2", "f + 42"], ["f", "t + 14", "t + 56"], ["t", 3, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"t": 3}, "is_reverse": true}} | 7,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 15; t = 3; y = g + 2; f = t + 14; b = j + 7; p = l + 12; u = t + 17; i = p + 7; l = y + 20; r = h + 13; j = r + 5; e = f + 2; g = u + 8. If t = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 5 to b, which gives b = r + 12.\n2. Substitute r = h + 13 to b, which gives b = h + 25.\n3. Substitute h = e + 15 to b, which gives b = e + 40.\n4. Substitute e = f + 2 to b, which gives b = f + 42.\n5. Substitute f = t + 14 to b, which gives b = t + 56.\n6. Substitute t = 3 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 7812,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 15; t = 3; y = g + 2; f = t + 14; b = j + 7; p = l + 12; u = t + 17; i = p + 7; l = y + 20; r = h + 13; j = r + 5; e = f + 2; g = u + 8. If t = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 4", "g": "l + 17", "z": "g + 14", "u": "z + 16", "f": "u + 16", "q": "f + 11", "b": "d + 11", "a": "b + 18", "h": "a + 3", "i": "h + 20", "y": "i + 14", "s": "y + 4", "d": 1}, "premises": {"d": 1}, "target": "q"}, "answer": {"steps": [["f", "u + 16", "u + 27"], ["u", "z + 16", "z + 43"], ["z", "g + 14", "g + 57"], ["g", "l + 17", "l + 74"], ["l", "d + 4", "d + 78"], ["d", 1, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"d": 1}, "is_reverse": true}} | 7,813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 14; s = y + 4; f = u + 16; a = b + 18; q = f + 11; d = 1; g = l + 17; u = z + 16; b = d + 11; l = d + 4; i = h + 20; h = a + 3; y = i + 14. If d = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 16 to q, which gives q = u + 27.\n2. Substitute u = z + 16 to q, which gives q = z + 43.\n3. Substitute z = g + 14 to q, which gives q = g + 57.\n4. Substitute g = l + 17 to q, which gives q = l + 74.\n5. Substitute l = d + 4 to q, which gives q = d + 78.\n6. Substitute d = 1 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 7813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 14; s = y + 4; f = u + 16; a = b + 18; q = f + 11; d = 1; g = l + 17; u = z + 16; b = d + 11; l = d + 4; i = h + 20; h = a + 3; y = i + 14. If d = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 17", "o": "y + 14", "c": "o + 19", "b": "c + 15", "a": "b + 13", "j": "a + 15", "g": "d + 11", "v": "g + 9", "w": "v + 9", "z": "w + 10", "n": "z + 12", "t": "n + 17", "d": 5}, "premises": {"d": 5}, "target": "j"}, "answer": {"steps": [["a", "b + 13", "b + 28"], ["b", "c + 15", "c + 43"], ["c", "o + 19", "o + 62"], ["o", "y + 14", "y + 76"], ["y", "d + 17", "d + 93"], ["d", 5, "98"]], "target_var_name": "j", "target_value": 98, "value_dict": {"d": 5}, "is_reverse": true}} | 7,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 15; n = z + 12; c = o + 19; w = v + 9; d = 5; o = y + 14; z = w + 10; y = d + 17; a = b + 13; v = g + 9; j = a + 15; g = d + 11; t = n + 17. If d = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 13 to j, which gives j = b + 28.\n2. Substitute b = c + 15 to j, which gives j = c + 43.\n3. Substitute c = o + 19 to j, which gives j = o + 62.\n4. Substitute o = y + 14 to j, which gives j = y + 76.\n5. Substitute y = d + 17 to j, which gives j = d + 93.\n6. Substitute d = 5 to j, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 7814,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 15; n = z + 12; c = o + 19; w = v + 9; d = 5; o = y + 14; z = w + 10; y = d + 17; a = b + 13; v = g + 9; j = a + 15; g = d + 11; t = n + 17. If d = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 17", "w": "e + 12", "y": "w + 12", "f": "y + 12", "p": "f + 20", "v": "p + 7", "a": "q + 14", "b": "a + 5", "x": "b + 8", "c": "x + 14", "z": "c + 16", "t": "z + 11", "q": 2}, "premises": {"q": 2}, "target": "v"}, "answer": {"steps": [["p", "f + 20", "f + 27"], ["f", "y + 12", "y + 39"], ["y", "w + 12", "w + 51"], ["w", "e + 12", "e + 63"], ["e", "q + 17", "q + 80"], ["q", 2, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"q": 2}, "is_reverse": true}} | 7,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = q + 17; w = e + 12; c = x + 14; v = p + 7; z = c + 16; q = 2; y = w + 12; f = y + 12; a = q + 14; b = a + 5; t = z + 11; x = b + 8; p = f + 20. Given that q = 2, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 20 to v, which gives v = f + 27.\n2. Substitute f = y + 12 to v, which gives v = y + 39.\n3. Substitute y = w + 12 to v, which gives v = w + 51.\n4. Substitute w = e + 12 to v, which gives v = e + 63.\n5. Substitute e = q + 17 to v, which gives v = q + 80.\n6. Substitute q = 2 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 7815,
"question": "Suppose a collection of variables is related by the following definitions: e = q + 17; w = e + 12; c = x + 14; v = p + 7; z = c + 16; q = 2; y = w + 12; f = y + 12; a = q + 14; b = a + 5; t = z + 11; x = b + 8; p = f + 20. Given that q = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 1", "p": "q + 6", "c": "p + 8", "b": "c + 18", "g": "b + 6", "u": "g + 12", "j": "z + 15", "w": "j + 20", "e": "w + 10", "s": "e + 14", "t": "s + 1", "f": "t + 10", "z": 12}, "premises": {"z": 12}, "target": "u"}, "answer": {"steps": [["g", "b + 6", "b + 18"], ["b", "c + 18", "c + 36"], ["c", "p + 8", "p + 44"], ["p", "q + 6", "q + 50"], ["q", "z + 1", "z + 51"], ["z", 12, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"z": 12}, "is_reverse": true}} | 7,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 12; w = j + 20; c = p + 8; t = s + 1; e = w + 10; z = 12; b = c + 18; g = b + 6; f = t + 10; j = z + 15; s = e + 14; q = z + 1; p = q + 6. Given that z = 12, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 6 to u, which gives u = b + 18.\n2. Substitute b = c + 18 to u, which gives u = c + 36.\n3. Substitute c = p + 8 to u, which gives u = p + 44.\n4. Substitute p = q + 6 to u, which gives u = q + 50.\n5. Substitute q = z + 1 to u, which gives u = z + 51.\n6. Substitute z = 12 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 7816,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 12; w = j + 20; c = p + 8; t = s + 1; e = w + 10; z = 12; b = c + 18; g = b + 6; f = t + 10; j = z + 15; s = e + 14; q = z + 1; p = q + 6. Given that z = 12, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 17", "c": "x + 1", "j": "c + 12", "m": "j + 4", "n": "m + 15", "z": "n + 3", "b": "a + 12", "s": "b + 11", "y": "s + 3", "v": "y + 11", "q": "v + 10", "k": "q + 7", "a": 12}, "premises": {"a": 12}, "target": "z"}, "answer": {"steps": [["n", "m + 15", "m + 18"], ["m", "j + 4", "j + 22"], ["j", "c + 12", "c + 34"], ["c", "x + 1", "x + 35"], ["x", "a + 17", "a + 52"], ["a", 12, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"a": 12}, "is_reverse": true}} | 7,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 3; j = c + 12; s = b + 11; b = a + 12; n = m + 15; q = v + 10; m = j + 4; y = s + 3; a = 12; v = y + 11; c = x + 1; x = a + 17; k = q + 7. If a = 12, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 15 to z, which gives z = m + 18.\n2. Substitute m = j + 4 to z, which gives z = j + 22.\n3. Substitute j = c + 12 to z, which gives z = c + 34.\n4. Substitute c = x + 1 to z, which gives z = x + 35.\n5. Substitute x = a + 17 to z, which gives z = a + 52.\n6. Substitute a = 12 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 7817,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 3; j = c + 12; s = b + 11; b = a + 12; n = m + 15; q = v + 10; m = j + 4; y = s + 3; a = 12; v = y + 11; c = x + 1; x = a + 17; k = q + 7. If a = 12, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 6", "b": "h + 19", "y": "b + 2", "m": "y + 9", "v": "m + 16", "g": "v + 19", "e": "n + 18", "w": "e + 19", "l": "w + 17", "x": "l + 6", "u": "x + 16", "t": "u + 20", "n": 13}, "premises": {"n": 13}, "target": "g"}, "answer": {"steps": [["v", "m + 16", "m + 35"], ["m", "y + 9", "y + 44"], ["y", "b + 2", "b + 46"], ["b", "h + 19", "h + 65"], ["h", "n + 6", "n + 71"], ["n", 13, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"n": 13}, "is_reverse": true}} | 7,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 20; e = n + 18; y = b + 2; v = m + 16; b = h + 19; g = v + 19; u = x + 16; m = y + 9; x = l + 6; w = e + 19; h = n + 6; l = w + 17; n = 13. If n = 13, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 16 to g, which gives g = m + 35.\n2. Substitute m = y + 9 to g, which gives g = y + 44.\n3. Substitute y = b + 2 to g, which gives g = b + 46.\n4. Substitute b = h + 19 to g, which gives g = h + 65.\n5. Substitute h = n + 6 to g, which gives g = n + 71.\n6. Substitute n = 13 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 7818,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 20; e = n + 18; y = b + 2; v = m + 16; b = h + 19; g = v + 19; u = x + 16; m = y + 9; x = l + 6; w = e + 19; h = n + 6; l = w + 17; n = 13. If n = 13, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 12", "r": "o + 15", "k": "r + 6", "x": "k + 18", "q": "x + 1", "d": "q + 7", "m": "v + 15", "g": "m + 10", "u": "g + 2", "e": "u + 5", "j": "e + 1", "i": "j + 3", "v": 4}, "premises": {"v": 4}, "target": "d"}, "answer": {"steps": [["q", "x + 1", "x + 8"], ["x", "k + 18", "k + 26"], ["k", "r + 6", "r + 32"], ["r", "o + 15", "o + 47"], ["o", "v + 12", "v + 59"], ["v", 4, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"v": 4}, "is_reverse": true}} | 7,819 | 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 = u + 5; i = j + 3; u = g + 2; j = e + 1; k = r + 6; q = x + 1; g = m + 10; m = v + 15; x = k + 18; d = q + 7; o = v + 12; v = 4; r = o + 15. If v = 4, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 1 to d, which gives d = x + 8.\n2. Substitute x = k + 18 to d, which gives d = k + 26.\n3. Substitute k = r + 6 to d, which gives d = r + 32.\n4. Substitute r = o + 15 to d, which gives d = o + 47.\n5. Substitute o = v + 12 to d, which gives d = v + 59.\n6. Substitute v = 4 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 7819,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 5; i = j + 3; u = g + 2; j = e + 1; k = r + 6; q = x + 1; g = m + 10; m = v + 15; x = k + 18; d = q + 7; o = v + 12; v = 4; r = o + 15. If v = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 10", "h": "m + 7", "g": "h + 20", "l": "g + 19", "x": "l + 11", "r": "x + 8", "s": "e + 8", "c": "s + 2", "w": "c + 8", "a": "w + 16", "f": "a + 10", "k": "f + 3", "e": 13}, "premises": {"e": 13}, "target": "r"}, "answer": {"steps": [["x", "l + 11", "l + 19"], ["l", "g + 19", "g + 38"], ["g", "h + 20", "h + 58"], ["h", "m + 7", "m + 65"], ["m", "e + 10", "e + 75"], ["e", 13, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"e": 13}, "is_reverse": true}} | 7,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 2; l = g + 19; s = e + 8; a = w + 16; f = a + 10; k = f + 3; r = x + 8; g = h + 20; m = e + 10; w = c + 8; h = m + 7; x = l + 11; e = 13. Given that e = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 11 to r, which gives r = l + 19.\n2. Substitute l = g + 19 to r, which gives r = g + 38.\n3. Substitute g = h + 20 to r, which gives r = h + 58.\n4. Substitute h = m + 7 to r, which gives r = m + 65.\n5. Substitute m = e + 10 to r, which gives r = e + 75.\n6. Substitute e = 13 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 7820,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 2; l = g + 19; s = e + 8; a = w + 16; f = a + 10; k = f + 3; r = x + 8; g = h + 20; m = e + 10; w = c + 8; h = m + 7; x = l + 11; e = 13. Given that e = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 3", "w": "g + 1", "y": "w + 12", "z": "y + 12", "u": "z + 12", "p": "u + 15", "j": "c + 7", "a": "j + 19", "k": "a + 4", "e": "k + 11", "m": "e + 20", "h": "m + 12", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["u", "z + 12", "z + 27"], ["z", "y + 12", "y + 39"], ["y", "w + 12", "w + 51"], ["w", "g + 1", "g + 52"], ["g", "c + 3", "c + 55"], ["c", 17, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"c": 17}, "is_reverse": true}} | 7,821 | 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 = a + 4; z = y + 12; g = c + 3; a = j + 19; u = z + 12; p = u + 15; j = c + 7; e = k + 11; c = 17; y = w + 12; w = g + 1; h = m + 12; m = e + 20. If c = 17, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 12 to p, which gives p = z + 27.\n2. Substitute z = y + 12 to p, which gives p = y + 39.\n3. Substitute y = w + 12 to p, which gives p = w + 51.\n4. Substitute w = g + 1 to p, which gives p = g + 52.\n5. Substitute g = c + 3 to p, which gives p = c + 55.\n6. Substitute c = 17 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 7821,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 4; z = y + 12; g = c + 3; a = j + 19; u = z + 12; p = u + 15; j = c + 7; e = k + 11; c = 17; y = w + 12; w = g + 1; h = m + 12; m = e + 20. If c = 17, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 2", "x": "g + 18", "i": "x + 6", "d": "i + 14", "y": "d + 1", "b": "y + 6", "l": "r + 11", "f": "l + 4", "m": "f + 18", "w": "m + 17", "h": "w + 4", "a": "h + 12", "r": 8}, "premises": {"r": 8}, "target": "b"}, "answer": {"steps": [["y", "d + 1", "d + 7"], ["d", "i + 14", "i + 21"], ["i", "x + 6", "x + 27"], ["x", "g + 18", "g + 45"], ["g", "r + 2", "r + 47"], ["r", 8, "55"]], "target_var_name": "b", "target_value": 55, "value_dict": {"r": 8}, "is_reverse": true}} | 7,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = x + 6; y = d + 1; m = f + 18; d = i + 14; h = w + 4; a = h + 12; r = 8; b = y + 6; x = g + 18; w = m + 17; g = r + 2; l = r + 11; f = l + 4. Given that r = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 1 to b, which gives b = d + 7.\n2. Substitute d = i + 14 to b, which gives b = i + 21.\n3. Substitute i = x + 6 to b, which gives b = x + 27.\n4. Substitute x = g + 18 to b, which gives b = g + 45.\n5. Substitute g = r + 2 to b, which gives b = r + 47.\n6. Substitute r = 8 to b, which gives b = 55.\n\nThus, the final answer is b = \\boxed{55}.",
"index": 7822,
"question": "Suppose a collection of variables is related by the following definitions: i = x + 6; y = d + 1; m = f + 18; d = i + 14; h = w + 4; a = h + 12; r = 8; b = y + 6; x = g + 18; w = m + 17; g = r + 2; l = r + 11; f = l + 4. Given that r = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 14", "l": "v + 8", "x": "l + 11", "i": "x + 5", "g": "i + 3", "o": "g + 14", "k": "h + 3", "m": "k + 11", "y": "m + 1", "j": "y + 9", "n": "j + 20", "c": "n + 5", "h": 3}, "premises": {"h": 3}, "target": "o"}, "answer": {"steps": [["g", "i + 3", "i + 17"], ["i", "x + 5", "x + 22"], ["x", "l + 11", "l + 33"], ["l", "v + 8", "v + 41"], ["v", "h + 14", "h + 55"], ["h", 3, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"h": 3}, "is_reverse": true}} | 7,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 8; h = 3; i = x + 5; j = y + 9; g = i + 3; c = n + 5; n = j + 20; k = h + 3; o = g + 14; m = k + 11; v = h + 14; y = m + 1; x = l + 11. Given that h = 3, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 3 to o, which gives o = i + 17.\n2. Substitute i = x + 5 to o, which gives o = x + 22.\n3. Substitute x = l + 11 to o, which gives o = l + 33.\n4. Substitute l = v + 8 to o, which gives o = v + 41.\n5. Substitute v = h + 14 to o, which gives o = h + 55.\n6. Substitute h = 3 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 7823,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 8; h = 3; i = x + 5; j = y + 9; g = i + 3; c = n + 5; n = j + 20; k = h + 3; o = g + 14; m = k + 11; v = h + 14; y = m + 1; x = l + 11. Given that h = 3, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 11", "i": "u + 15", "f": "i + 8", "a": "f + 19", "t": "a + 2", "k": "t + 16", "q": "v + 14", "j": "q + 2", "b": "j + 3", "m": "b + 6", "o": "m + 14", "y": "o + 2", "v": 16}, "premises": {"v": 16}, "target": "k"}, "answer": {"steps": [["t", "a + 2", "a + 18"], ["a", "f + 19", "f + 37"], ["f", "i + 8", "i + 45"], ["i", "u + 15", "u + 60"], ["u", "v + 11", "v + 71"], ["v", 16, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"v": 16}, "is_reverse": true}} | 7,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = f + 19; m = b + 6; v = 16; k = t + 16; u = v + 11; b = j + 3; f = i + 8; t = a + 2; y = o + 2; i = u + 15; q = v + 14; o = m + 14; j = q + 2. If v = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 2 to k, which gives k = a + 18.\n2. Substitute a = f + 19 to k, which gives k = f + 37.\n3. Substitute f = i + 8 to k, which gives k = i + 45.\n4. Substitute i = u + 15 to k, which gives k = u + 60.\n5. Substitute u = v + 11 to k, which gives k = v + 71.\n6. Substitute v = 16 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 7824,
"question": "Consider a system of variables where each variable is defined as follows: a = f + 19; m = b + 6; v = 16; k = t + 16; u = v + 11; b = j + 3; f = i + 8; t = a + 2; y = o + 2; i = u + 15; q = v + 14; o = m + 14; j = q + 2. If v = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 7", "v": "e + 14", "m": "v + 20", "a": "m + 13", "u": "a + 12", "l": "u + 2", "y": "n + 10", "c": "y + 2", "z": "c + 12", "d": "z + 2", "q": "d + 10", "o": "q + 14", "n": 2}, "premises": {"n": 2}, "target": "l"}, "answer": {"steps": [["u", "a + 12", "a + 14"], ["a", "m + 13", "m + 27"], ["m", "v + 20", "v + 47"], ["v", "e + 14", "e + 61"], ["e", "n + 7", "n + 68"], ["n", 2, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"n": 2}, "is_reverse": true}} | 7,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 2; c = y + 2; v = e + 14; z = c + 12; y = n + 10; l = u + 2; a = m + 13; d = z + 2; e = n + 7; m = v + 20; u = a + 12; q = d + 10; o = q + 14. If n = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 12 to l, which gives l = a + 14.\n2. Substitute a = m + 13 to l, which gives l = m + 27.\n3. Substitute m = v + 20 to l, which gives l = v + 47.\n4. Substitute v = e + 14 to l, which gives l = e + 61.\n5. Substitute e = n + 7 to l, which gives l = n + 68.\n6. Substitute n = 2 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 7825,
"question": "Consider a system of variables where each variable is defined as follows: n = 2; c = y + 2; v = e + 14; z = c + 12; y = n + 10; l = u + 2; a = m + 13; d = z + 2; e = n + 7; m = v + 20; u = a + 12; q = d + 10; o = q + 14. If n = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 13", "g": "n + 5", "d": "g + 17", "c": "d + 4", "u": "c + 19", "q": "u + 4", "v": "b + 18", "s": "v + 8", "p": "s + 15", "t": "p + 11", "a": "t + 14", "x": "a + 20", "b": 18}, "premises": {"b": 18}, "target": "q"}, "answer": {"steps": [["u", "c + 19", "c + 23"], ["c", "d + 4", "d + 27"], ["d", "g + 17", "g + 44"], ["g", "n + 5", "n + 49"], ["n", "b + 13", "b + 62"], ["b", 18, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"b": 18}, "is_reverse": true}} | 7,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 4; d = g + 17; g = n + 5; q = u + 4; n = b + 13; b = 18; p = s + 15; t = p + 11; x = a + 20; v = b + 18; u = c + 19; s = v + 8; a = t + 14. If b = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 19 to q, which gives q = c + 23.\n2. Substitute c = d + 4 to q, which gives q = d + 27.\n3. Substitute d = g + 17 to q, which gives q = g + 44.\n4. Substitute g = n + 5 to q, which gives q = n + 49.\n5. Substitute n = b + 13 to q, which gives q = b + 62.\n6. Substitute b = 18 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 7826,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 4; d = g + 17; g = n + 5; q = u + 4; n = b + 13; b = 18; p = s + 15; t = p + 11; x = a + 20; v = b + 18; u = c + 19; s = v + 8; a = t + 14. If b = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 11", "q": "k + 10", "j": "q + 2", "e": "j + 19", "i": "e + 12", "w": "i + 17", "r": "n + 13", "t": "r + 5", "d": "t + 5", "a": "d + 16", "y": "a + 11", "g": "y + 7", "n": 12}, "premises": {"n": 12}, "target": "w"}, "answer": {"steps": [["i", "e + 12", "e + 29"], ["e", "j + 19", "j + 48"], ["j", "q + 2", "q + 50"], ["q", "k + 10", "k + 60"], ["k", "n + 11", "n + 71"], ["n", 12, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"n": 12}, "is_reverse": true}} | 7,827 | 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 = r + 5; n = 12; d = t + 5; w = i + 17; j = q + 2; y = a + 11; g = y + 7; r = n + 13; a = d + 16; q = k + 10; k = n + 11; e = j + 19; i = e + 12. If n = 12, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 12 to w, which gives w = e + 29.\n2. Substitute e = j + 19 to w, which gives w = j + 48.\n3. Substitute j = q + 2 to w, which gives w = q + 50.\n4. Substitute q = k + 10 to w, which gives w = k + 60.\n5. Substitute k = n + 11 to w, which gives w = n + 71.\n6. Substitute n = 12 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 7827,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 5; n = 12; d = t + 5; w = i + 17; j = q + 2; y = a + 11; g = y + 7; r = n + 13; a = d + 16; q = k + 10; k = n + 11; e = j + 19; i = e + 12. If n = 12, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 17", "z": "x + 5", "q": "z + 13", "g": "q + 1", "i": "g + 10", "w": "i + 16", "p": "o + 10", "a": "p + 16", "u": "a + 7", "e": "u + 9", "d": "e + 18", "k": "d + 4", "o": 18}, "premises": {"o": 18}, "target": "w"}, "answer": {"steps": [["i", "g + 10", "g + 26"], ["g", "q + 1", "q + 27"], ["q", "z + 13", "z + 40"], ["z", "x + 5", "x + 45"], ["x", "o + 17", "o + 62"], ["o", 18, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"o": 18}, "is_reverse": true}} | 7,828 | 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 = p + 16; q = z + 13; p = o + 10; k = d + 4; u = a + 7; i = g + 10; z = x + 5; x = o + 17; w = i + 16; e = u + 9; g = q + 1; d = e + 18; o = 18. If o = 18, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 10 to w, which gives w = g + 26.\n2. Substitute g = q + 1 to w, which gives w = q + 27.\n3. Substitute q = z + 13 to w, which gives w = z + 40.\n4. Substitute z = x + 5 to w, which gives w = x + 45.\n5. Substitute x = o + 17 to w, which gives w = o + 62.\n6. Substitute o = 18 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 7828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 16; q = z + 13; p = o + 10; k = d + 4; u = a + 7; i = g + 10; z = x + 5; x = o + 17; w = i + 16; e = u + 9; g = q + 1; d = e + 18; o = 18. If o = 18, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 4", "v": "z + 14", "b": "v + 12", "k": "b + 19", "c": "k + 5", "p": "c + 18", "s": "o + 4", "q": "s + 11", "f": "q + 8", "a": "f + 1", "x": "a + 5", "j": "x + 7", "o": 20}, "premises": {"o": 20}, "target": "p"}, "answer": {"steps": [["c", "k + 5", "k + 23"], ["k", "b + 19", "b + 42"], ["b", "v + 12", "v + 54"], ["v", "z + 14", "z + 68"], ["z", "o + 4", "o + 72"], ["o", 20, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"o": 20}, "is_reverse": true}} | 7,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 14; s = o + 4; a = f + 1; x = a + 5; c = k + 5; f = q + 8; o = 20; j = x + 7; q = s + 11; z = o + 4; p = c + 18; b = v + 12; k = b + 19. If o = 20, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 5 to p, which gives p = k + 23.\n2. Substitute k = b + 19 to p, which gives p = b + 42.\n3. Substitute b = v + 12 to p, which gives p = v + 54.\n4. Substitute v = z + 14 to p, which gives p = z + 68.\n5. Substitute z = o + 4 to p, which gives p = o + 72.\n6. Substitute o = 20 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 7829,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 14; s = o + 4; a = f + 1; x = a + 5; c = k + 5; f = q + 8; o = 20; j = x + 7; q = s + 11; z = o + 4; p = c + 18; b = v + 12; k = b + 19. If o = 20, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 13", "o": "u + 3", "q": "o + 9", "v": "q + 18", "s": "v + 16", "c": "s + 2", "p": "d + 20", "l": "p + 1", "r": "l + 3", "b": "r + 13", "g": "b + 18", "w": "g + 3", "d": 7}, "premises": {"d": 7}, "target": "c"}, "answer": {"steps": [["s", "v + 16", "v + 18"], ["v", "q + 18", "q + 36"], ["q", "o + 9", "o + 45"], ["o", "u + 3", "u + 48"], ["u", "d + 13", "d + 61"], ["d", 7, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"d": 7}, "is_reverse": true}} | 7,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 20; w = g + 3; s = v + 16; u = d + 13; b = r + 13; q = o + 9; v = q + 18; l = p + 1; g = b + 18; d = 7; c = s + 2; r = l + 3; o = u + 3. If d = 7, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 16 to c, which gives c = v + 18.\n2. Substitute v = q + 18 to c, which gives c = q + 36.\n3. Substitute q = o + 9 to c, which gives c = o + 45.\n4. Substitute o = u + 3 to c, which gives c = u + 48.\n5. Substitute u = d + 13 to c, which gives c = d + 61.\n6. Substitute d = 7 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 7830,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 20; w = g + 3; s = v + 16; u = d + 13; b = r + 13; q = o + 9; v = q + 18; l = p + 1; g = b + 18; d = 7; c = s + 2; r = l + 3; o = u + 3. If d = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 4", "y": "l + 19", "m": "y + 2", "u": "m + 1", "q": "u + 12", "i": "q + 9", "w": "f + 10", "e": "w + 19", "z": "e + 8", "k": "z + 4", "t": "k + 18", "c": "t + 3", "f": 10}, "premises": {"f": 10}, "target": "i"}, "answer": {"steps": [["q", "u + 12", "u + 21"], ["u", "m + 1", "m + 22"], ["m", "y + 2", "y + 24"], ["y", "l + 19", "l + 43"], ["l", "f + 4", "f + 47"], ["f", 10, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"f": 10}, "is_reverse": true}} | 7,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 10; w = f + 10; c = t + 3; y = l + 19; k = z + 4; i = q + 9; e = w + 19; t = k + 18; u = m + 1; m = y + 2; q = u + 12; l = f + 4; z = e + 8. If f = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 12 to i, which gives i = u + 21.\n2. Substitute u = m + 1 to i, which gives i = m + 22.\n3. Substitute m = y + 2 to i, which gives i = y + 24.\n4. Substitute y = l + 19 to i, which gives i = l + 43.\n5. Substitute l = f + 4 to i, which gives i = f + 47.\n6. Substitute f = 10 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 7831,
"question": "Consider a system of variables where each variable is defined as follows: f = 10; w = f + 10; c = t + 3; y = l + 19; k = z + 4; i = q + 9; e = w + 19; t = k + 18; u = m + 1; m = y + 2; q = u + 12; l = f + 4; z = e + 8. If f = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 8", "x": "d + 5", "s": "x + 11", "t": "s + 1", "q": "t + 11", "i": "q + 10", "k": "h + 9", "r": "k + 4", "b": "r + 18", "f": "b + 14", "o": "f + 9", "z": "o + 4", "h": 12}, "premises": {"h": 12}, "target": "i"}, "answer": {"steps": [["q", "t + 11", "t + 21"], ["t", "s + 1", "s + 22"], ["s", "x + 11", "x + 33"], ["x", "d + 5", "d + 38"], ["d", "h + 8", "h + 46"], ["h", 12, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"h": 12}, "is_reverse": true}} | 7,832 | 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 = h + 8; r = k + 4; z = o + 4; t = s + 1; i = q + 10; f = b + 14; b = r + 18; x = d + 5; q = t + 11; s = x + 11; k = h + 9; o = f + 9; h = 12. If h = 12, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 11 to i, which gives i = t + 21.\n2. Substitute t = s + 1 to i, which gives i = s + 22.\n3. Substitute s = x + 11 to i, which gives i = x + 33.\n4. Substitute x = d + 5 to i, which gives i = d + 38.\n5. Substitute d = h + 8 to i, which gives i = h + 46.\n6. Substitute h = 12 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 7832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 8; r = k + 4; z = o + 4; t = s + 1; i = q + 10; f = b + 14; b = r + 18; x = d + 5; q = t + 11; s = x + 11; k = h + 9; o = f + 9; h = 12. If h = 12, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 19", "l": "e + 4", "c": "l + 12", "b": "c + 4", "h": "b + 4", "z": "h + 16", "n": "r + 6", "o": "n + 9", "a": "o + 11", "j": "a + 9", "w": "j + 11", "k": "w + 16", "r": 17}, "premises": {"r": 17}, "target": "z"}, "answer": {"steps": [["h", "b + 4", "b + 20"], ["b", "c + 4", "c + 24"], ["c", "l + 12", "l + 36"], ["l", "e + 4", "e + 40"], ["e", "r + 19", "r + 59"], ["r", 17, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"r": 17}, "is_reverse": true}} | 7,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 11; r = 17; n = r + 6; e = r + 19; z = h + 16; c = l + 12; l = e + 4; a = o + 11; b = c + 4; k = w + 16; o = n + 9; j = a + 9; h = b + 4. Given that r = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 4 to z, which gives z = b + 20.\n2. Substitute b = c + 4 to z, which gives z = c + 24.\n3. Substitute c = l + 12 to z, which gives z = l + 36.\n4. Substitute l = e + 4 to z, which gives z = e + 40.\n5. Substitute e = r + 19 to z, which gives z = r + 59.\n6. Substitute r = 17 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 7833,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 11; r = 17; n = r + 6; e = r + 19; z = h + 16; c = l + 12; l = e + 4; a = o + 11; b = c + 4; k = w + 16; o = n + 9; j = a + 9; h = b + 4. Given that r = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 19", "o": "k + 18", "q": "o + 20", "a": "q + 14", "f": "a + 13", "z": "f + 12", "x": "r + 1", "s": "x + 6", "b": "s + 4", "c": "b + 7", "d": "c + 13", "j": "d + 14", "r": 5}, "premises": {"r": 5}, "target": "z"}, "answer": {"steps": [["f", "a + 13", "a + 25"], ["a", "q + 14", "q + 39"], ["q", "o + 20", "o + 59"], ["o", "k + 18", "k + 77"], ["k", "r + 19", "r + 96"], ["r", 5, "101"]], "target_var_name": "z", "target_value": 101, "value_dict": {"r": 5}, "is_reverse": true}} | 7,834 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 20; s = x + 6; z = f + 12; c = b + 7; o = k + 18; j = d + 14; r = 5; k = r + 19; f = a + 13; x = r + 1; b = s + 4; a = q + 14; d = c + 13. If r = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 13 to z, which gives z = a + 25.\n2. Substitute a = q + 14 to z, which gives z = q + 39.\n3. Substitute q = o + 20 to z, which gives z = o + 59.\n4. Substitute o = k + 18 to z, which gives z = k + 77.\n5. Substitute k = r + 19 to z, which gives z = r + 96.\n6. Substitute r = 5 to z, which gives z = 101.\n\nThus, the final answer is z = \\boxed{101}.",
"index": 7834,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 20; s = x + 6; z = f + 12; c = b + 7; o = k + 18; j = d + 14; r = 5; k = r + 19; f = a + 13; x = r + 1; b = s + 4; a = q + 14; d = c + 13. If r = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 14", "b": "p + 6", "q": "b + 19", "l": "q + 7", "a": "l + 5", "e": "a + 5", "k": "j + 20", "r": "k + 17", "f": "r + 7", "v": "f + 13", "t": "v + 14", "h": "t + 4", "j": 6}, "premises": {"j": 6}, "target": "e"}, "answer": {"steps": [["a", "l + 5", "l + 10"], ["l", "q + 7", "q + 17"], ["q", "b + 19", "b + 36"], ["b", "p + 6", "p + 42"], ["p", "j + 14", "j + 56"], ["j", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"j": 6}, "is_reverse": true}} | 7,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = a + 5; l = q + 7; j = 6; k = j + 20; h = t + 4; f = r + 7; t = v + 14; q = b + 19; b = p + 6; r = k + 17; p = j + 14; a = l + 5; v = f + 13. If j = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 5 to e, which gives e = l + 10.\n2. Substitute l = q + 7 to e, which gives e = q + 17.\n3. Substitute q = b + 19 to e, which gives e = b + 36.\n4. Substitute b = p + 6 to e, which gives e = p + 42.\n5. Substitute p = j + 14 to e, which gives e = j + 56.\n6. Substitute j = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 7835,
"question": "Consider a system of variables where each variable is defined as follows: e = a + 5; l = q + 7; j = 6; k = j + 20; h = t + 4; f = r + 7; t = v + 14; q = b + 19; b = p + 6; r = k + 17; p = j + 14; a = l + 5; v = f + 13. If j = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 5", "i": "y + 13", "u": "i + 7", "f": "u + 2", "q": "f + 9", "n": "q + 2", "c": "x + 2", "k": "c + 13", "p": "k + 1", "h": "p + 5", "j": "h + 4", "g": "j + 14", "x": 13}, "premises": {"x": 13}, "target": "n"}, "answer": {"steps": [["q", "f + 9", "f + 11"], ["f", "u + 2", "u + 13"], ["u", "i + 7", "i + 20"], ["i", "y + 13", "y + 33"], ["y", "x + 5", "x + 38"], ["x", 13, "51"]], "target_var_name": "n", "target_value": 51, "value_dict": {"x": 13}, "is_reverse": true}} | 7,836 | 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 + 2; x = 13; p = k + 1; k = c + 13; u = i + 7; j = h + 4; y = x + 5; f = u + 2; c = x + 2; i = y + 13; h = p + 5; g = j + 14; q = f + 9. If x = 13, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 9 to n, which gives n = f + 11.\n2. Substitute f = u + 2 to n, which gives n = u + 13.\n3. Substitute u = i + 7 to n, which gives n = i + 20.\n4. Substitute i = y + 13 to n, which gives n = y + 33.\n5. Substitute y = x + 5 to n, which gives n = x + 38.\n6. Substitute x = 13 to n, which gives n = 51.\n\nThus, the final answer is n = \\boxed{51}.",
"index": 7836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 2; x = 13; p = k + 1; k = c + 13; u = i + 7; j = h + 4; y = x + 5; f = u + 2; c = x + 2; i = y + 13; h = p + 5; g = j + 14; q = f + 9. If x = 13, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 5", "l": "k + 12", "e": "l + 10", "a": "e + 20", "x": "a + 2", "d": "x + 9", "z": "r + 16", "c": "z + 7", "u": "c + 10", "i": "u + 3", "g": "i + 16", "f": "g + 14", "r": 2}, "premises": {"r": 2}, "target": "d"}, "answer": {"steps": [["x", "a + 2", "a + 11"], ["a", "e + 20", "e + 31"], ["e", "l + 10", "l + 41"], ["l", "k + 12", "k + 53"], ["k", "r + 5", "r + 58"], ["r", 2, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"r": 2}, "is_reverse": true}} | 7,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 12; r = 2; f = g + 14; k = r + 5; d = x + 9; c = z + 7; g = i + 16; u = c + 10; e = l + 10; z = r + 16; i = u + 3; x = a + 2; a = e + 20. If r = 2, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 2 to d, which gives d = a + 11.\n2. Substitute a = e + 20 to d, which gives d = e + 31.\n3. Substitute e = l + 10 to d, which gives d = l + 41.\n4. Substitute l = k + 12 to d, which gives d = k + 53.\n5. Substitute k = r + 5 to d, which gives d = r + 58.\n6. Substitute r = 2 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 7837,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 12; r = 2; f = g + 14; k = r + 5; d = x + 9; c = z + 7; g = i + 16; u = c + 10; e = l + 10; z = r + 16; i = u + 3; x = a + 2; a = e + 20. If r = 2, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 5", "b": "g + 20", "y": "b + 2", "i": "y + 15", "z": "i + 6", "f": "z + 1", "e": "v + 10", "n": "e + 5", "d": "n + 10", "h": "d + 15", "o": "h + 2", "t": "o + 6", "v": 4}, "premises": {"v": 4}, "target": "f"}, "answer": {"steps": [["z", "i + 6", "i + 7"], ["i", "y + 15", "y + 22"], ["y", "b + 2", "b + 24"], ["b", "g + 20", "g + 44"], ["g", "v + 5", "v + 49"], ["v", 4, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"v": 4}, "is_reverse": true}} | 7,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 2; f = z + 1; y = b + 2; v = 4; d = n + 10; n = e + 5; z = i + 6; i = y + 15; g = v + 5; e = v + 10; b = g + 20; h = d + 15; t = o + 6. If v = 4, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 6 to f, which gives f = i + 7.\n2. Substitute i = y + 15 to f, which gives f = y + 22.\n3. Substitute y = b + 2 to f, which gives f = b + 24.\n4. Substitute b = g + 20 to f, which gives f = g + 44.\n5. Substitute g = v + 5 to f, which gives f = v + 49.\n6. Substitute v = 4 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 7838,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 2; f = z + 1; y = b + 2; v = 4; d = n + 10; n = e + 5; z = i + 6; i = y + 15; g = v + 5; e = v + 10; b = g + 20; h = d + 15; t = o + 6. If v = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 4", "s": "b + 2", "t": "s + 17", "x": "t + 1", "o": "x + 8", "f": "o + 5", "v": "y + 2", "a": "v + 4", "z": "a + 2", "k": "z + 15", "q": "k + 6", "h": "q + 14", "y": 4}, "premises": {"y": 4}, "target": "f"}, "answer": {"steps": [["o", "x + 8", "x + 13"], ["x", "t + 1", "t + 14"], ["t", "s + 17", "s + 31"], ["s", "b + 2", "b + 33"], ["b", "y + 4", "y + 37"], ["y", 4, "41"]], "target_var_name": "f", "target_value": 41, "value_dict": {"y": 4}, "is_reverse": true}} | 7,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 4; x = t + 1; a = v + 4; h = q + 14; k = z + 15; t = s + 17; q = k + 6; s = b + 2; z = a + 2; v = y + 2; f = o + 5; y = 4; o = x + 8. Given that y = 4, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 8 to f, which gives f = x + 13.\n2. Substitute x = t + 1 to f, which gives f = t + 14.\n3. Substitute t = s + 17 to f, which gives f = s + 31.\n4. Substitute s = b + 2 to f, which gives f = b + 33.\n5. Substitute b = y + 4 to f, which gives f = y + 37.\n6. Substitute y = 4 to f, which gives f = 41.\n\nThus, the final answer is f = \\boxed{41}.",
"index": 7839,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 4; x = t + 1; a = v + 4; h = q + 14; k = z + 15; t = s + 17; q = k + 6; s = b + 2; z = a + 2; v = y + 2; f = o + 5; y = 4; o = x + 8. Given that y = 4, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 12", "o": "w + 11", "i": "o + 6", "n": "i + 9", "r": "n + 3", "q": "r + 7", "m": "x + 16", "e": "m + 3", "t": "e + 11", "k": "t + 8", "p": "k + 15", "b": "p + 5", "x": 8}, "premises": {"x": 8}, "target": "q"}, "answer": {"steps": [["r", "n + 3", "n + 10"], ["n", "i + 9", "i + 19"], ["i", "o + 6", "o + 25"], ["o", "w + 11", "w + 36"], ["w", "x + 12", "x + 48"], ["x", 8, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"x": 8}, "is_reverse": true}} | 7,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 11; k = t + 8; t = e + 11; w = x + 12; n = i + 9; i = o + 6; m = x + 16; p = k + 15; r = n + 3; x = 8; q = r + 7; e = m + 3; b = p + 5. Given that x = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 3 to q, which gives q = n + 10.\n2. Substitute n = i + 9 to q, which gives q = i + 19.\n3. Substitute i = o + 6 to q, which gives q = o + 25.\n4. Substitute o = w + 11 to q, which gives q = w + 36.\n5. Substitute w = x + 12 to q, which gives q = x + 48.\n6. Substitute x = 8 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 7840,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 11; k = t + 8; t = e + 11; w = x + 12; n = i + 9; i = o + 6; m = x + 16; p = k + 15; r = n + 3; x = 8; q = r + 7; e = m + 3; b = p + 5. Given that x = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 15", "j": "x + 4", "f": "j + 10", "y": "f + 16", "u": "y + 14", "q": "u + 11", "n": "d + 4", "o": "n + 6", "i": "o + 19", "v": "i + 16", "c": "v + 17", "h": "c + 6", "d": 4}, "premises": {"d": 4}, "target": "q"}, "answer": {"steps": [["u", "y + 14", "y + 25"], ["y", "f + 16", "f + 41"], ["f", "j + 10", "j + 51"], ["j", "x + 4", "x + 55"], ["x", "d + 15", "d + 70"], ["d", 4, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"d": 4}, "is_reverse": true}} | 7,841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 16; o = n + 6; c = v + 17; f = j + 10; j = x + 4; d = 4; i = o + 19; u = y + 14; h = c + 6; v = i + 16; q = u + 11; n = d + 4; x = d + 15. If d = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 14 to q, which gives q = y + 25.\n2. Substitute y = f + 16 to q, which gives q = f + 41.\n3. Substitute f = j + 10 to q, which gives q = j + 51.\n4. Substitute j = x + 4 to q, which gives q = x + 55.\n5. Substitute x = d + 15 to q, which gives q = d + 70.\n6. Substitute d = 4 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 7841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 16; o = n + 6; c = v + 17; f = j + 10; j = x + 4; d = 4; i = o + 19; u = y + 14; h = c + 6; v = i + 16; q = u + 11; n = d + 4; x = d + 15. If d = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 11", "m": "p + 15", "y": "m + 10", "f": "y + 13", "q": "f + 9", "d": "q + 20", "w": "k + 3", "c": "w + 7", "h": "c + 7", "r": "h + 12", "n": "r + 1", "o": "n + 19", "k": 9}, "premises": {"k": 9}, "target": "d"}, "answer": {"steps": [["q", "f + 9", "f + 29"], ["f", "y + 13", "y + 42"], ["y", "m + 10", "m + 52"], ["m", "p + 15", "p + 67"], ["p", "k + 11", "k + 78"], ["k", 9, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"k": 9}, "is_reverse": true}} | 7,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 1; w = k + 3; p = k + 11; r = h + 12; y = m + 10; q = f + 9; h = c + 7; k = 9; d = q + 20; m = p + 15; c = w + 7; f = y + 13; o = n + 19. If k = 9, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 9 to d, which gives d = f + 29.\n2. Substitute f = y + 13 to d, which gives d = y + 42.\n3. Substitute y = m + 10 to d, which gives d = m + 52.\n4. Substitute m = p + 15 to d, which gives d = p + 67.\n5. Substitute p = k + 11 to d, which gives d = k + 78.\n6. Substitute k = 9 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 7842,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 1; w = k + 3; p = k + 11; r = h + 12; y = m + 10; q = f + 9; h = c + 7; k = 9; d = q + 20; m = p + 15; c = w + 7; f = y + 13; o = n + 19. If k = 9, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 1", "a": "p + 8", "u": "a + 8", "e": "u + 12", "r": "e + 13", "w": "r + 10", "b": "o + 12", "c": "b + 11", "h": "c + 10", "d": "h + 15", "g": "d + 15", "q": "g + 18", "o": 18}, "premises": {"o": 18}, "target": "w"}, "answer": {"steps": [["r", "e + 13", "e + 23"], ["e", "u + 12", "u + 35"], ["u", "a + 8", "a + 43"], ["a", "p + 8", "p + 51"], ["p", "o + 1", "o + 52"], ["o", 18, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"o": 18}, "is_reverse": true}} | 7,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 18; b = o + 12; d = h + 15; q = g + 18; a = p + 8; h = c + 10; u = a + 8; p = o + 1; e = u + 12; g = d + 15; w = r + 10; c = b + 11; r = e + 13. Given that o = 18, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 13 to w, which gives w = e + 23.\n2. Substitute e = u + 12 to w, which gives w = u + 35.\n3. Substitute u = a + 8 to w, which gives w = a + 43.\n4. Substitute a = p + 8 to w, which gives w = p + 51.\n5. Substitute p = o + 1 to w, which gives w = o + 52.\n6. Substitute o = 18 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 7843,
"question": "Suppose a collection of variables is related by the following definitions: o = 18; b = o + 12; d = h + 15; q = g + 18; a = p + 8; h = c + 10; u = a + 8; p = o + 1; e = u + 12; g = d + 15; w = r + 10; c = b + 11; r = e + 13. Given that o = 18, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 5", "w": "h + 18", "b": "w + 11", "z": "b + 2", "k": "z + 18", "n": "k + 19", "f": "a + 7", "c": "f + 17", "p": "c + 12", "y": "p + 18", "s": "y + 18", "o": "s + 12", "a": 14}, "premises": {"a": 14}, "target": "n"}, "answer": {"steps": [["k", "z + 18", "z + 37"], ["z", "b + 2", "b + 39"], ["b", "w + 11", "w + 50"], ["w", "h + 18", "h + 68"], ["h", "a + 5", "a + 73"], ["a", 14, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"a": 14}, "is_reverse": true}} | 7,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = a + 5; n = k + 19; b = w + 11; f = a + 7; p = c + 12; w = h + 18; a = 14; o = s + 12; s = y + 18; y = p + 18; k = z + 18; c = f + 17; z = b + 2. Given that a = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 18 to n, which gives n = z + 37.\n2. Substitute z = b + 2 to n, which gives n = b + 39.\n3. Substitute b = w + 11 to n, which gives n = w + 50.\n4. Substitute w = h + 18 to n, which gives n = h + 68.\n5. Substitute h = a + 5 to n, which gives n = a + 73.\n6. Substitute a = 14 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 7844,
"question": "Suppose a collection of variables is related by the following definitions: h = a + 5; n = k + 19; b = w + 11; f = a + 7; p = c + 12; w = h + 18; a = 14; o = s + 12; s = y + 18; y = p + 18; k = z + 18; c = f + 17; z = b + 2. Given that a = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 12", "j": "w + 10", "r": "j + 6", "m": "r + 16", "z": "m + 16", "n": "z + 13", "e": "t + 9", "s": "e + 6", "q": "s + 2", "a": "q + 20", "d": "a + 8", "l": "d + 3", "t": 16}, "premises": {"t": 16}, "target": "n"}, "answer": {"steps": [["z", "m + 16", "m + 29"], ["m", "r + 16", "r + 45"], ["r", "j + 6", "j + 51"], ["j", "w + 10", "w + 61"], ["w", "t + 12", "t + 73"], ["t", 16, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"t": 16}, "is_reverse": true}} | 7,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 6; a = q + 20; e = t + 9; q = s + 2; w = t + 12; n = z + 13; m = r + 16; j = w + 10; d = a + 8; z = m + 16; t = 16; l = d + 3; s = e + 6. Given that t = 16, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 16 to n, which gives n = m + 29.\n2. Substitute m = r + 16 to n, which gives n = r + 45.\n3. Substitute r = j + 6 to n, which gives n = j + 51.\n4. Substitute j = w + 10 to n, which gives n = w + 61.\n5. Substitute w = t + 12 to n, which gives n = t + 73.\n6. Substitute t = 16 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 7845,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 6; a = q + 20; e = t + 9; q = s + 2; w = t + 12; n = z + 13; m = r + 16; j = w + 10; d = a + 8; z = m + 16; t = 16; l = d + 3; s = e + 6. Given that t = 16, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 14", "c": "m + 8", "a": "c + 14", "v": "a + 20", "d": "v + 4", "s": "d + 8", "h": "f + 7", "n": "h + 12", "g": "n + 14", "u": "g + 3", "b": "u + 12", "i": "b + 20", "f": 13}, "premises": {"f": 13}, "target": "s"}, "answer": {"steps": [["d", "v + 4", "v + 12"], ["v", "a + 20", "a + 32"], ["a", "c + 14", "c + 46"], ["c", "m + 8", "m + 54"], ["m", "f + 14", "f + 68"], ["f", 13, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"f": 13}, "is_reverse": true}} | 7,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 7; v = a + 20; n = h + 12; m = f + 14; b = u + 12; d = v + 4; s = d + 8; u = g + 3; c = m + 8; a = c + 14; g = n + 14; i = b + 20; f = 13. If f = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 4 to s, which gives s = v + 12.\n2. Substitute v = a + 20 to s, which gives s = a + 32.\n3. Substitute a = c + 14 to s, which gives s = c + 46.\n4. Substitute c = m + 8 to s, which gives s = m + 54.\n5. Substitute m = f + 14 to s, which gives s = f + 68.\n6. Substitute f = 13 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 7846,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 7; v = a + 20; n = h + 12; m = f + 14; b = u + 12; d = v + 4; s = d + 8; u = g + 3; c = m + 8; a = c + 14; g = n + 14; i = b + 20; f = 13. If f = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 2", "r": "a + 17", "e": "r + 5", "c": "e + 6", "g": "c + 18", "z": "g + 17", "y": "s + 13", "q": "y + 19", "p": "q + 12", "h": "p + 6", "d": "h + 4", "k": "d + 3", "s": 12}, "premises": {"s": 12}, "target": "z"}, "answer": {"steps": [["g", "c + 18", "c + 35"], ["c", "e + 6", "e + 41"], ["e", "r + 5", "r + 46"], ["r", "a + 17", "a + 63"], ["a", "s + 2", "s + 65"], ["s", 12, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"s": 12}, "is_reverse": true}} | 7,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 4; p = q + 12; e = r + 5; s = 12; r = a + 17; h = p + 6; k = d + 3; z = g + 17; a = s + 2; c = e + 6; y = s + 13; q = y + 19; g = c + 18. If s = 12, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 18 to z, which gives z = c + 35.\n2. Substitute c = e + 6 to z, which gives z = e + 41.\n3. Substitute e = r + 5 to z, which gives z = r + 46.\n4. Substitute r = a + 17 to z, which gives z = a + 63.\n5. Substitute a = s + 2 to z, which gives z = s + 65.\n6. Substitute s = 12 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 7847,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 4; p = q + 12; e = r + 5; s = 12; r = a + 17; h = p + 6; k = d + 3; z = g + 17; a = s + 2; c = e + 6; y = s + 13; q = y + 19; g = c + 18. If s = 12, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 8", "n": "s + 9", "b": "n + 7", "y": "b + 7", "d": "y + 3", "x": "d + 4", "l": "h + 18", "f": "l + 16", "z": "f + 14", "a": "z + 9", "t": "a + 18", "r": "t + 5", "h": 11}, "premises": {"h": 11}, "target": "x"}, "answer": {"steps": [["d", "y + 3", "y + 7"], ["y", "b + 7", "b + 14"], ["b", "n + 7", "n + 21"], ["n", "s + 9", "s + 30"], ["s", "h + 8", "h + 38"], ["h", 11, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"h": 11}, "is_reverse": true}} | 7,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 3; h = 11; l = h + 18; a = z + 9; r = t + 5; n = s + 9; x = d + 4; z = f + 14; y = b + 7; b = n + 7; t = a + 18; s = h + 8; f = l + 16. Given that h = 11, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 3 to x, which gives x = y + 7.\n2. Substitute y = b + 7 to x, which gives x = b + 14.\n3. Substitute b = n + 7 to x, which gives x = n + 21.\n4. Substitute n = s + 9 to x, which gives x = s + 30.\n5. Substitute s = h + 8 to x, which gives x = h + 38.\n6. Substitute h = 11 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 7848,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 3; h = 11; l = h + 18; a = z + 9; r = t + 5; n = s + 9; x = d + 4; z = f + 14; y = b + 7; b = n + 7; t = a + 18; s = h + 8; f = l + 16. Given that h = 11, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 1", "e": "i + 8", "v": "e + 12", "b": "v + 10", "w": "b + 20", "c": "w + 5", "t": "f + 5", "u": "t + 6", "s": "u + 18", "x": "s + 9", "k": "x + 10", "g": "k + 18", "f": 19}, "premises": {"f": 19}, "target": "c"}, "answer": {"steps": [["w", "b + 20", "b + 25"], ["b", "v + 10", "v + 35"], ["v", "e + 12", "e + 47"], ["e", "i + 8", "i + 55"], ["i", "f + 1", "f + 56"], ["f", 19, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"f": 19}, "is_reverse": true}} | 7,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 20; c = w + 5; t = f + 5; s = u + 18; b = v + 10; i = f + 1; e = i + 8; f = 19; g = k + 18; x = s + 9; k = x + 10; v = e + 12; u = t + 6. Given that f = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 20 to c, which gives c = b + 25.\n2. Substitute b = v + 10 to c, which gives c = v + 35.\n3. Substitute v = e + 12 to c, which gives c = e + 47.\n4. Substitute e = i + 8 to c, which gives c = i + 55.\n5. Substitute i = f + 1 to c, which gives c = f + 56.\n6. Substitute f = 19 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 7849,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 20; c = w + 5; t = f + 5; s = u + 18; b = v + 10; i = f + 1; e = i + 8; f = 19; g = k + 18; x = s + 9; k = x + 10; v = e + 12; u = t + 6. Given that f = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 12", "e": "l + 19", "t": "e + 18", "b": "t + 8", "r": "b + 14", "x": "r + 17", "w": "n + 6", "v": "w + 14", "k": "v + 15", "s": "k + 3", "d": "s + 2", "g": "d + 11", "n": 5}, "premises": {"n": 5}, "target": "x"}, "answer": {"steps": [["r", "b + 14", "b + 31"], ["b", "t + 8", "t + 39"], ["t", "e + 18", "e + 57"], ["e", "l + 19", "l + 76"], ["l", "n + 12", "n + 88"], ["n", 5, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"n": 5}, "is_reverse": true}} | 7,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 17; b = t + 8; s = k + 3; g = d + 11; r = b + 14; l = n + 12; d = s + 2; v = w + 14; k = v + 15; t = e + 18; e = l + 19; w = n + 6; n = 5. Given that n = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 14 to x, which gives x = b + 31.\n2. Substitute b = t + 8 to x, which gives x = t + 39.\n3. Substitute t = e + 18 to x, which gives x = e + 57.\n4. Substitute e = l + 19 to x, which gives x = l + 76.\n5. Substitute l = n + 12 to x, which gives x = n + 88.\n6. Substitute n = 5 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 7850,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 17; b = t + 8; s = k + 3; g = d + 11; r = b + 14; l = n + 12; d = s + 2; v = w + 14; k = v + 15; t = e + 18; e = l + 19; w = n + 6; n = 5. Given that n = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 16", "v": "t + 14", "m": "v + 14", "z": "m + 6", "w": "z + 7", "b": "w + 13", "h": "f + 2", "d": "h + 1", "g": "d + 12", "x": "g + 14", "j": "x + 4", "a": "j + 8", "f": 9}, "premises": {"f": 9}, "target": "b"}, "answer": {"steps": [["w", "z + 7", "z + 20"], ["z", "m + 6", "m + 26"], ["m", "v + 14", "v + 40"], ["v", "t + 14", "t + 54"], ["t", "f + 16", "f + 70"], ["f", 9, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"f": 9}, "is_reverse": true}} | 7,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 8; d = h + 1; j = x + 4; f = 9; v = t + 14; h = f + 2; g = d + 12; z = m + 6; w = z + 7; x = g + 14; m = v + 14; t = f + 16; b = w + 13. If f = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 7 to b, which gives b = z + 20.\n2. Substitute z = m + 6 to b, which gives b = m + 26.\n3. Substitute m = v + 14 to b, which gives b = v + 40.\n4. Substitute v = t + 14 to b, which gives b = t + 54.\n5. Substitute t = f + 16 to b, which gives b = f + 70.\n6. Substitute f = 9 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 7851,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 8; d = h + 1; j = x + 4; f = 9; v = t + 14; h = f + 2; g = d + 12; z = m + 6; w = z + 7; x = g + 14; m = v + 14; t = f + 16; b = w + 13. If f = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 17", "b": "o + 7", "q": "b + 18", "e": "q + 18", "v": "e + 17", "x": "v + 7", "j": "f + 11", "a": "j + 19", "p": "a + 18", "c": "p + 9", "t": "c + 20", "z": "t + 15", "f": 4}, "premises": {"f": 4}, "target": "x"}, "answer": {"steps": [["v", "e + 17", "e + 24"], ["e", "q + 18", "q + 42"], ["q", "b + 18", "b + 60"], ["b", "o + 7", "o + 67"], ["o", "f + 17", "f + 84"], ["f", 4, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"f": 4}, "is_reverse": true}} | 7,852 | 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 = 4; b = o + 7; a = j + 19; z = t + 15; e = q + 18; x = v + 7; j = f + 11; c = p + 9; t = c + 20; p = a + 18; q = b + 18; v = e + 17; o = f + 17. If f = 4, what is the resulting 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 v = e + 17 to x, which gives x = e + 24.\n2. Substitute e = q + 18 to x, which gives x = q + 42.\n3. Substitute q = b + 18 to x, which gives x = b + 60.\n4. Substitute b = o + 7 to x, which gives x = o + 67.\n5. Substitute o = f + 17 to x, which gives x = f + 84.\n6. Substitute f = 4 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 7852,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 4; b = o + 7; a = j + 19; z = t + 15; e = q + 18; x = v + 7; j = f + 11; c = p + 9; t = c + 20; p = a + 18; q = b + 18; v = e + 17; o = f + 17. If f = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 15", "r": "m + 1", "x": "r + 6", "l": "x + 5", "a": "l + 2", "o": "a + 9", "h": "p + 2", "w": "h + 3", "d": "w + 12", "k": "d + 13", "g": "k + 11", "b": "g + 15", "p": 12}, "premises": {"p": 12}, "target": "o"}, "answer": {"steps": [["a", "l + 2", "l + 11"], ["l", "x + 5", "x + 16"], ["x", "r + 6", "r + 22"], ["r", "m + 1", "m + 23"], ["m", "p + 15", "p + 38"], ["p", 12, "50"]], "target_var_name": "o", "target_value": 50, "value_dict": {"p": 12}, "is_reverse": true}} | 7,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 6; w = h + 3; g = k + 11; o = a + 9; l = x + 5; p = 12; m = p + 15; h = p + 2; d = w + 12; b = g + 15; k = d + 13; r = m + 1; a = l + 2. Given that p = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 2 to o, which gives o = l + 11.\n2. Substitute l = x + 5 to o, which gives o = x + 16.\n3. Substitute x = r + 6 to o, which gives o = r + 22.\n4. Substitute r = m + 1 to o, which gives o = m + 23.\n5. Substitute m = p + 15 to o, which gives o = p + 38.\n6. Substitute p = 12 to o, which gives o = 50.\n\nThus, the final answer is o = \\boxed{50}.",
"index": 7853,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 6; w = h + 3; g = k + 11; o = a + 9; l = x + 5; p = 12; m = p + 15; h = p + 2; d = w + 12; b = g + 15; k = d + 13; r = m + 1; a = l + 2. Given that p = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 4", "j": "k + 13", "n": "j + 7", "s": "n + 9", "d": "s + 15", "h": "d + 9", "w": "m + 5", "e": "w + 9", "i": "e + 7", "p": "i + 2", "o": "p + 13", "z": "o + 20", "m": 2}, "premises": {"m": 2}, "target": "h"}, "answer": {"steps": [["d", "s + 15", "s + 24"], ["s", "n + 9", "n + 33"], ["n", "j + 7", "j + 40"], ["j", "k + 13", "k + 53"], ["k", "m + 4", "m + 57"], ["m", 2, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"m": 2}, "is_reverse": true}} | 7,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 4; z = o + 20; m = 2; e = w + 9; d = s + 15; w = m + 5; i = e + 7; p = i + 2; j = k + 13; h = d + 9; n = j + 7; s = n + 9; o = p + 13. If m = 2, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 15 to h, which gives h = s + 24.\n2. Substitute s = n + 9 to h, which gives h = n + 33.\n3. Substitute n = j + 7 to h, which gives h = j + 40.\n4. Substitute j = k + 13 to h, which gives h = k + 53.\n5. Substitute k = m + 4 to h, which gives h = m + 57.\n6. Substitute m = 2 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 7854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 4; z = o + 20; m = 2; e = w + 9; d = s + 15; w = m + 5; i = e + 7; p = i + 2; j = k + 13; h = d + 9; n = j + 7; s = n + 9; o = p + 13. If m = 2, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 5", "o": "f + 16", "d": "o + 9", "k": "d + 3", "n": "k + 7", "b": "n + 8", "m": "x + 2", "i": "m + 7", "u": "i + 6", "s": "u + 12", "l": "s + 3", "v": "l + 15", "x": 10}, "premises": {"x": 10}, "target": "b"}, "answer": {"steps": [["n", "k + 7", "k + 15"], ["k", "d + 3", "d + 18"], ["d", "o + 9", "o + 27"], ["o", "f + 16", "f + 43"], ["f", "x + 5", "x + 48"], ["x", 10, "58"]], "target_var_name": "b", "target_value": 58, "value_dict": {"x": 10}, "is_reverse": true}} | 7,855 | 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 = u + 12; x = 10; m = x + 2; n = k + 7; i = m + 7; u = i + 6; v = l + 15; b = n + 8; k = d + 3; d = o + 9; o = f + 16; l = s + 3; f = x + 5. If x = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 7 to b, which gives b = k + 15.\n2. Substitute k = d + 3 to b, which gives b = d + 18.\n3. Substitute d = o + 9 to b, which gives b = o + 27.\n4. Substitute o = f + 16 to b, which gives b = f + 43.\n5. Substitute f = x + 5 to b, which gives b = x + 48.\n6. Substitute x = 10 to b, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 7855,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 12; x = 10; m = x + 2; n = k + 7; i = m + 7; u = i + 6; v = l + 15; b = n + 8; k = d + 3; d = o + 9; o = f + 16; l = s + 3; f = x + 5. If x = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 4", "j": "k + 18", "u": "j + 10", "o": "u + 5", "l": "o + 6", "m": "l + 20", "w": "c + 8", "x": "w + 3", "n": "x + 16", "d": "n + 17", "s": "d + 3", "a": "s + 1", "c": 9}, "premises": {"c": 9}, "target": "m"}, "answer": {"steps": [["l", "o + 6", "o + 26"], ["o", "u + 5", "u + 31"], ["u", "j + 10", "j + 41"], ["j", "k + 18", "k + 59"], ["k", "c + 4", "c + 63"], ["c", 9, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"c": 9}, "is_reverse": true}} | 7,856 | 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 = c + 4; x = w + 3; w = c + 8; l = o + 6; d = n + 17; c = 9; m = l + 20; o = u + 5; a = s + 1; u = j + 10; n = x + 16; j = k + 18; s = d + 3. If c = 9, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 6 to m, which gives m = o + 26.\n2. Substitute o = u + 5 to m, which gives m = u + 31.\n3. Substitute u = j + 10 to m, which gives m = j + 41.\n4. Substitute j = k + 18 to m, which gives m = k + 59.\n5. Substitute k = c + 4 to m, which gives m = c + 63.\n6. Substitute c = 9 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 7856,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 4; x = w + 3; w = c + 8; l = o + 6; d = n + 17; c = 9; m = l + 20; o = u + 5; a = s + 1; u = j + 10; n = x + 16; j = k + 18; s = d + 3. If c = 9, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 1", "v": "a + 4", "t": "v + 19", "s": "t + 5", "f": "s + 8", "u": "f + 19", "p": "y + 12", "n": "p + 13", "z": "n + 4", "d": "z + 6", "i": "d + 17", "l": "i + 10", "y": 19}, "premises": {"y": 19}, "target": "u"}, "answer": {"steps": [["f", "s + 8", "s + 27"], ["s", "t + 5", "t + 32"], ["t", "v + 19", "v + 51"], ["v", "a + 4", "a + 55"], ["a", "y + 1", "y + 56"], ["y", 19, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"y": 19}, "is_reverse": true}} | 7,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 19; s = t + 5; n = p + 13; a = y + 1; u = f + 19; v = a + 4; f = s + 8; i = d + 17; p = y + 12; z = n + 4; d = z + 6; t = v + 19; l = i + 10. If y = 19, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 8 to u, which gives u = s + 27.\n2. Substitute s = t + 5 to u, which gives u = t + 32.\n3. Substitute t = v + 19 to u, which gives u = v + 51.\n4. Substitute v = a + 4 to u, which gives u = a + 55.\n5. Substitute a = y + 1 to u, which gives u = y + 56.\n6. Substitute y = 19 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 7857,
"question": "Consider a system of variables where each variable is defined as follows: y = 19; s = t + 5; n = p + 13; a = y + 1; u = f + 19; v = a + 4; f = s + 8; i = d + 17; p = y + 12; z = n + 4; d = z + 6; t = v + 19; l = i + 10. If y = 19, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 8", "u": "s + 15", "p": "u + 9", "h": "p + 5", "j": "h + 18", "c": "j + 11", "t": "v + 5", "m": "t + 16", "r": "m + 19", "y": "r + 19", "l": "y + 8", "w": "l + 5", "v": 17}, "premises": {"v": 17}, "target": "c"}, "answer": {"steps": [["j", "h + 18", "h + 29"], ["h", "p + 5", "p + 34"], ["p", "u + 9", "u + 43"], ["u", "s + 15", "s + 58"], ["s", "v + 8", "v + 66"], ["v", 17, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"v": 17}, "is_reverse": true}} | 7,858 | 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 = h + 18; c = j + 11; r = m + 19; t = v + 5; w = l + 5; m = t + 16; s = v + 8; p = u + 9; y = r + 19; u = s + 15; h = p + 5; v = 17; l = y + 8. If v = 17, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 18 to c, which gives c = h + 29.\n2. Substitute h = p + 5 to c, which gives c = p + 34.\n3. Substitute p = u + 9 to c, which gives c = u + 43.\n4. Substitute u = s + 15 to c, which gives c = s + 58.\n5. Substitute s = v + 8 to c, which gives c = v + 66.\n6. Substitute v = 17 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 7858,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 18; c = j + 11; r = m + 19; t = v + 5; w = l + 5; m = t + 16; s = v + 8; p = u + 9; y = r + 19; u = s + 15; h = p + 5; v = 17; l = y + 8. If v = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 10", "p": "i + 8", "g": "p + 5", "w": "g + 18", "j": "w + 4", "v": "j + 8", "x": "r + 6", "q": "x + 11", "s": "q + 7", "c": "s + 13", "m": "c + 7", "u": "m + 9", "r": 6}, "premises": {"r": 6}, "target": "v"}, "answer": {"steps": [["j", "w + 4", "w + 12"], ["w", "g + 18", "g + 30"], ["g", "p + 5", "p + 35"], ["p", "i + 8", "i + 43"], ["i", "r + 10", "r + 53"], ["r", 6, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"r": 6}, "is_reverse": true}} | 7,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 8; s = q + 7; x = r + 6; u = m + 9; w = g + 18; r = 6; m = c + 7; q = x + 11; c = s + 13; j = w + 4; v = j + 8; i = r + 10; g = p + 5. If r = 6, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 4 to v, which gives v = w + 12.\n2. Substitute w = g + 18 to v, which gives v = g + 30.\n3. Substitute g = p + 5 to v, which gives v = p + 35.\n4. Substitute p = i + 8 to v, which gives v = i + 43.\n5. Substitute i = r + 10 to v, which gives v = r + 53.\n6. Substitute r = 6 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 7859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 8; s = q + 7; x = r + 6; u = m + 9; w = g + 18; r = 6; m = c + 7; q = x + 11; c = s + 13; j = w + 4; v = j + 8; i = r + 10; g = p + 5. If r = 6, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 19", "h": "w + 20", "i": "h + 19", "q": "i + 15", "f": "q + 4", "l": "f + 8", "c": "m + 19", "g": "c + 2", "s": "g + 2", "u": "s + 19", "d": "u + 10", "o": "d + 8", "m": 14}, "premises": {"m": 14}, "target": "l"}, "answer": {"steps": [["f", "q + 4", "q + 12"], ["q", "i + 15", "i + 27"], ["i", "h + 19", "h + 46"], ["h", "w + 20", "w + 66"], ["w", "m + 19", "m + 85"], ["m", 14, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"m": 14}, "is_reverse": true}} | 7,860 | 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 = g + 2; d = u + 10; c = m + 19; i = h + 19; f = q + 4; q = i + 15; w = m + 19; o = d + 8; m = 14; h = w + 20; l = f + 8; u = s + 19; g = c + 2. If m = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 4 to l, which gives l = q + 12.\n2. Substitute q = i + 15 to l, which gives l = i + 27.\n3. Substitute i = h + 19 to l, which gives l = h + 46.\n4. Substitute h = w + 20 to l, which gives l = w + 66.\n5. Substitute w = m + 19 to l, which gives l = m + 85.\n6. Substitute m = 14 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 7860,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 2; d = u + 10; c = m + 19; i = h + 19; f = q + 4; q = i + 15; w = m + 19; o = d + 8; m = 14; h = w + 20; l = f + 8; u = s + 19; g = c + 2. If m = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 19", "m": "g + 4", "o": "m + 12", "f": "o + 11", "r": "f + 3", "d": "r + 11", "t": "k + 8", "h": "t + 11", "w": "h + 15", "i": "w + 3", "x": "i + 16", "z": "x + 17", "k": 9}, "premises": {"k": 9}, "target": "d"}, "answer": {"steps": [["r", "f + 3", "f + 14"], ["f", "o + 11", "o + 25"], ["o", "m + 12", "m + 37"], ["m", "g + 4", "g + 41"], ["g", "k + 19", "k + 60"], ["k", 9, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"k": 9}, "is_reverse": true}} | 7,861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 12; k = 9; x = i + 16; g = k + 19; h = t + 11; i = w + 3; r = f + 3; z = x + 17; w = h + 15; d = r + 11; t = k + 8; m = g + 4; f = o + 11. If k = 9, 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 r = f + 3 to d, which gives d = f + 14.\n2. Substitute f = o + 11 to d, which gives d = o + 25.\n3. Substitute o = m + 12 to d, which gives d = m + 37.\n4. Substitute m = g + 4 to d, which gives d = g + 41.\n5. Substitute g = k + 19 to d, which gives d = k + 60.\n6. Substitute k = 9 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 7861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 12; k = 9; x = i + 16; g = k + 19; h = t + 11; i = w + 3; r = f + 3; z = x + 17; w = h + 15; d = r + 11; t = k + 8; m = g + 4; f = o + 11. If k = 9, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 8", "p": "f + 15", "v": "p + 11", "z": "v + 20", "x": "z + 8", "b": "x + 2", "r": "c + 8", "u": "r + 2", "t": "u + 15", "o": "t + 14", "y": "o + 4", "e": "y + 12", "c": 11}, "premises": {"c": 11}, "target": "b"}, "answer": {"steps": [["x", "z + 8", "z + 10"], ["z", "v + 20", "v + 30"], ["v", "p + 11", "p + 41"], ["p", "f + 15", "f + 56"], ["f", "c + 8", "c + 64"], ["c", 11, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"c": 11}, "is_reverse": true}} | 7,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 2; y = o + 4; f = c + 8; x = z + 8; b = x + 2; c = 11; z = v + 20; e = y + 12; r = c + 8; v = p + 11; o = t + 14; p = f + 15; t = u + 15. If c = 11, determine the 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 x = z + 8 to b, which gives b = z + 10.\n2. Substitute z = v + 20 to b, which gives b = v + 30.\n3. Substitute v = p + 11 to b, which gives b = p + 41.\n4. Substitute p = f + 15 to b, which gives b = f + 56.\n5. Substitute f = c + 8 to b, which gives b = c + 64.\n6. Substitute c = 11 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 7862,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 2; y = o + 4; f = c + 8; x = z + 8; b = x + 2; c = 11; z = v + 20; e = y + 12; r = c + 8; v = p + 11; o = t + 14; p = f + 15; t = u + 15. If c = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 15", "z": "q + 6", "n": "z + 10", "f": "n + 17", "g": "f + 2", "l": "g + 16", "e": "d + 3", "j": "e + 19", "k": "j + 13", "m": "k + 10", "s": "m + 11", "w": "s + 1", "d": 5}, "premises": {"d": 5}, "target": "l"}, "answer": {"steps": [["g", "f + 2", "f + 18"], ["f", "n + 17", "n + 35"], ["n", "z + 10", "z + 45"], ["z", "q + 6", "q + 51"], ["q", "d + 15", "d + 66"], ["d", 5, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"d": 5}, "is_reverse": true}} | 7,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 5; j = e + 19; z = q + 6; k = j + 13; n = z + 10; m = k + 10; q = d + 15; w = s + 1; f = n + 17; s = m + 11; e = d + 3; g = f + 2; l = g + 16. If d = 5, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 2 to l, which gives l = f + 18.\n2. Substitute f = n + 17 to l, which gives l = n + 35.\n3. Substitute n = z + 10 to l, which gives l = z + 45.\n4. Substitute z = q + 6 to l, which gives l = q + 51.\n5. Substitute q = d + 15 to l, which gives l = d + 66.\n6. Substitute d = 5 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 7863,
"question": "Consider a system of variables where each variable is defined as follows: d = 5; j = e + 19; z = q + 6; k = j + 13; n = z + 10; m = k + 10; q = d + 15; w = s + 1; f = n + 17; s = m + 11; e = d + 3; g = f + 2; l = g + 16. If d = 5, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 15", "n": "z + 16", "q": "n + 8", "x": "q + 11", "o": "x + 18", "b": "o + 13", "p": "m + 4", "c": "p + 9", "l": "c + 10", "u": "l + 20", "a": "u + 10", "v": "a + 2", "m": 15}, "premises": {"m": 15}, "target": "b"}, "answer": {"steps": [["o", "x + 18", "x + 31"], ["x", "q + 11", "q + 42"], ["q", "n + 8", "n + 50"], ["n", "z + 16", "z + 66"], ["z", "m + 15", "m + 81"], ["m", 15, "96"]], "target_var_name": "b", "target_value": 96, "value_dict": {"m": 15}, "is_reverse": true}} | 7,864 | 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 = l + 20; m = 15; p = m + 4; v = a + 2; z = m + 15; b = o + 13; c = p + 9; q = n + 8; n = z + 16; o = x + 18; l = c + 10; a = u + 10; x = q + 11. If m = 15, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 18 to b, which gives b = x + 31.\n2. Substitute x = q + 11 to b, which gives b = q + 42.\n3. Substitute q = n + 8 to b, which gives b = n + 50.\n4. Substitute n = z + 16 to b, which gives b = z + 66.\n5. Substitute z = m + 15 to b, which gives b = m + 81.\n6. Substitute m = 15 to b, which gives b = 96.\n\nThus, the final answer is b = \\boxed{96}.",
"index": 7864,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 20; m = 15; p = m + 4; v = a + 2; z = m + 15; b = o + 13; c = p + 9; q = n + 8; n = z + 16; o = x + 18; l = c + 10; a = u + 10; x = q + 11. If m = 15, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 19", "q": "y + 19", "o": "q + 19", "r": "o + 8", "w": "r + 17", "e": "w + 10", "k": "b + 7", "a": "k + 10", "x": "a + 16", "t": "x + 4", "f": "t + 11", "v": "f + 4", "b": 12}, "premises": {"b": 12}, "target": "e"}, "answer": {"steps": [["w", "r + 17", "r + 27"], ["r", "o + 8", "o + 35"], ["o", "q + 19", "q + 54"], ["q", "y + 19", "y + 73"], ["y", "b + 19", "b + 92"], ["b", 12, "104"]], "target_var_name": "e", "target_value": 104, "value_dict": {"b": 12}, "is_reverse": true}} | 7,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = b + 19; v = f + 4; o = q + 19; e = w + 10; q = y + 19; w = r + 17; b = 12; r = o + 8; x = a + 16; f = t + 11; t = x + 4; a = k + 10; k = b + 7. Given that b = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 17 to e, which gives e = r + 27.\n2. Substitute r = o + 8 to e, which gives e = o + 35.\n3. Substitute o = q + 19 to e, which gives e = q + 54.\n4. Substitute q = y + 19 to e, which gives e = y + 73.\n5. Substitute y = b + 19 to e, which gives e = b + 92.\n6. Substitute b = 12 to e, which gives e = 104.\n\nThus, the final answer is e = \\boxed{104}.",
"index": 7865,
"question": "Suppose a collection of variables is related by the following definitions: y = b + 19; v = f + 4; o = q + 19; e = w + 10; q = y + 19; w = r + 17; b = 12; r = o + 8; x = a + 16; f = t + 11; t = x + 4; a = k + 10; k = b + 7. Given that b = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 11", "i": "t + 13", "p": "i + 12", "r": "p + 2", "k": "r + 2", "d": "k + 20", "b": "l + 8", "v": "b + 5", "h": "v + 17", "z": "h + 7", "q": "z + 16", "o": "q + 19", "l": 14}, "premises": {"l": 14}, "target": "d"}, "answer": {"steps": [["k", "r + 2", "r + 22"], ["r", "p + 2", "p + 24"], ["p", "i + 12", "i + 36"], ["i", "t + 13", "t + 49"], ["t", "l + 11", "l + 60"], ["l", 14, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"l": 14}, "is_reverse": true}} | 7,866 | 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 = l + 11; o = q + 19; h = v + 17; i = t + 13; p = i + 12; b = l + 8; l = 14; z = h + 7; r = p + 2; k = r + 2; v = b + 5; q = z + 16; d = k + 20. If l = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 2 to d, which gives d = r + 22.\n2. Substitute r = p + 2 to d, which gives d = p + 24.\n3. Substitute p = i + 12 to d, which gives d = i + 36.\n4. Substitute i = t + 13 to d, which gives d = t + 49.\n5. Substitute t = l + 11 to d, which gives d = l + 60.\n6. Substitute l = 14 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 7866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 11; o = q + 19; h = v + 17; i = t + 13; p = i + 12; b = l + 8; l = 14; z = h + 7; r = p + 2; k = r + 2; v = b + 5; q = z + 16; d = k + 20. If l = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 2", "g": "t + 14", "v": "g + 9", "i": "v + 12", "c": "i + 16", "s": "c + 17", "p": "l + 10", "d": "p + 15", "x": "d + 11", "b": "x + 8", "m": "b + 10", "o": "m + 5", "l": 6}, "premises": {"l": 6}, "target": "s"}, "answer": {"steps": [["c", "i + 16", "i + 33"], ["i", "v + 12", "v + 45"], ["v", "g + 9", "g + 54"], ["g", "t + 14", "t + 68"], ["t", "l + 2", "l + 70"], ["l", 6, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"l": 6}, "is_reverse": true}} | 7,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 5; v = g + 9; d = p + 15; m = b + 10; t = l + 2; p = l + 10; x = d + 11; g = t + 14; b = x + 8; i = v + 12; c = i + 16; l = 6; s = c + 17. Given that l = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 16 to s, which gives s = i + 33.\n2. Substitute i = v + 12 to s, which gives s = v + 45.\n3. Substitute v = g + 9 to s, which gives s = g + 54.\n4. Substitute g = t + 14 to s, which gives s = t + 68.\n5. Substitute t = l + 2 to s, which gives s = l + 70.\n6. Substitute l = 6 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 7867,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 5; v = g + 9; d = p + 15; m = b + 10; t = l + 2; p = l + 10; x = d + 11; g = t + 14; b = x + 8; i = v + 12; c = i + 16; l = 6; s = c + 17. Given that l = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 6", "p": "x + 9", "u": "p + 18", "f": "u + 17", "o": "f + 20", "e": "o + 20", "b": "l + 4", "g": "b + 3", "q": "g + 20", "h": "q + 14", "t": "h + 3", "s": "t + 20", "l": 6}, "premises": {"l": 6}, "target": "e"}, "answer": {"steps": [["o", "f + 20", "f + 40"], ["f", "u + 17", "u + 57"], ["u", "p + 18", "p + 75"], ["p", "x + 9", "x + 84"], ["x", "l + 6", "l + 90"], ["l", 6, "96"]], "target_var_name": "e", "target_value": 96, "value_dict": {"l": 6}, "is_reverse": true}} | 7,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 20; b = l + 4; x = l + 6; h = q + 14; l = 6; p = x + 9; g = b + 3; u = p + 18; f = u + 17; q = g + 20; e = o + 20; o = f + 20; t = h + 3. Given that l = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 20 to e, which gives e = f + 40.\n2. Substitute f = u + 17 to e, which gives e = u + 57.\n3. Substitute u = p + 18 to e, which gives e = p + 75.\n4. Substitute p = x + 9 to e, which gives e = x + 84.\n5. Substitute x = l + 6 to e, which gives e = l + 90.\n6. Substitute l = 6 to e, which gives e = 96.\n\nThus, the final answer is e = \\boxed{96}.",
"index": 7868,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 20; b = l + 4; x = l + 6; h = q + 14; l = 6; p = x + 9; g = b + 3; u = p + 18; f = u + 17; q = g + 20; e = o + 20; o = f + 20; t = h + 3. Given that l = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 3", "k": "w + 10", "y": "k + 12", "t": "y + 16", "a": "t + 1", "u": "a + 1", "n": "z + 5", "i": "n + 17", "e": "i + 10", "r": "e + 11", "q": "r + 2", "o": "q + 10", "z": 1}, "premises": {"z": 1}, "target": "u"}, "answer": {"steps": [["a", "t + 1", "t + 2"], ["t", "y + 16", "y + 18"], ["y", "k + 12", "k + 30"], ["k", "w + 10", "w + 40"], ["w", "z + 3", "z + 43"], ["z", 1, "44"]], "target_var_name": "u", "target_value": 44, "value_dict": {"z": 1}, "is_reverse": true}} | 7,869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 16; u = a + 1; o = q + 10; n = z + 5; k = w + 10; i = n + 17; a = t + 1; q = r + 2; z = 1; w = z + 3; r = e + 11; y = k + 12; e = i + 10. Given that z = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 1 to u, which gives u = t + 2.\n2. Substitute t = y + 16 to u, which gives u = y + 18.\n3. Substitute y = k + 12 to u, which gives u = k + 30.\n4. Substitute k = w + 10 to u, which gives u = w + 40.\n5. Substitute w = z + 3 to u, which gives u = z + 43.\n6. Substitute z = 1 to u, which gives u = 44.\n\nThus, the final answer is u = \\boxed{44}.",
"index": 7869,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 16; u = a + 1; o = q + 10; n = z + 5; k = w + 10; i = n + 17; a = t + 1; q = r + 2; z = 1; w = z + 3; r = e + 11; y = k + 12; e = i + 10. Given that z = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 6", "d": "l + 15", "m": "d + 7", "n": "m + 7", "g": "n + 15", "b": "g + 8", "c": "z + 11", "x": "c + 5", "s": "x + 19", "f": "s + 17", "i": "f + 20", "r": "i + 20", "z": 18}, "premises": {"z": 18}, "target": "b"}, "answer": {"steps": [["g", "n + 15", "n + 23"], ["n", "m + 7", "m + 30"], ["m", "d + 7", "d + 37"], ["d", "l + 15", "l + 52"], ["l", "z + 6", "z + 58"], ["z", 18, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"z": 18}, "is_reverse": true}} | 7,870 | 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 = s + 17; r = i + 20; m = d + 7; z = 18; x = c + 5; c = z + 11; b = g + 8; g = n + 15; s = x + 19; d = l + 15; n = m + 7; l = z + 6; i = f + 20. If z = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 15 to b, which gives b = n + 23.\n2. Substitute n = m + 7 to b, which gives b = m + 30.\n3. Substitute m = d + 7 to b, which gives b = d + 37.\n4. Substitute d = l + 15 to b, which gives b = l + 52.\n5. Substitute l = z + 6 to b, which gives b = z + 58.\n6. Substitute z = 18 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 7870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 17; r = i + 20; m = d + 7; z = 18; x = c + 5; c = z + 11; b = g + 8; g = n + 15; s = x + 19; d = l + 15; n = m + 7; l = z + 6; i = f + 20. If z = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 10", "i": "f + 14", "a": "i + 5", "l": "a + 8", "t": "l + 1", "y": "t + 2", "n": "j + 12", "p": "n + 10", "v": "p + 14", "k": "v + 10", "u": "k + 11", "c": "u + 20", "j": 6}, "premises": {"j": 6}, "target": "y"}, "answer": {"steps": [["t", "l + 1", "l + 3"], ["l", "a + 8", "a + 11"], ["a", "i + 5", "i + 16"], ["i", "f + 14", "f + 30"], ["f", "j + 10", "j + 40"], ["j", 6, "46"]], "target_var_name": "y", "target_value": 46, "value_dict": {"j": 6}, "is_reverse": true}} | 7,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = i + 5; l = a + 8; v = p + 14; f = j + 10; k = v + 10; j = 6; p = n + 10; y = t + 2; u = k + 11; t = l + 1; c = u + 20; i = f + 14; n = j + 12. If j = 6, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 1 to y, which gives y = l + 3.\n2. Substitute l = a + 8 to y, which gives y = a + 11.\n3. Substitute a = i + 5 to y, which gives y = i + 16.\n4. Substitute i = f + 14 to y, which gives y = f + 30.\n5. Substitute f = j + 10 to y, which gives y = j + 40.\n6. Substitute j = 6 to y, which gives y = 46.\n\nThus, the final answer is y = \\boxed{46}.",
"index": 7871,
"question": "Consider a system of variables where each variable is defined as follows: a = i + 5; l = a + 8; v = p + 14; f = j + 10; k = v + 10; j = 6; p = n + 10; y = t + 2; u = k + 11; t = l + 1; c = u + 20; i = f + 14; n = j + 12. If j = 6, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 7", "y": "e + 5", "u": "y + 15", "v": "u + 13", "s": "v + 13", "n": "s + 9", "o": "d + 16", "h": "o + 15", "p": "h + 16", "m": "p + 6", "k": "m + 1", "t": "k + 14", "d": 8}, "premises": {"d": 8}, "target": "n"}, "answer": {"steps": [["s", "v + 13", "v + 22"], ["v", "u + 13", "u + 35"], ["u", "y + 15", "y + 50"], ["y", "e + 5", "e + 55"], ["e", "d + 7", "d + 62"], ["d", 8, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"d": 8}, "is_reverse": true}} | 7,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 16; y = e + 5; o = d + 16; n = s + 9; e = d + 7; h = o + 15; d = 8; u = y + 15; s = v + 13; m = p + 6; t = k + 14; v = u + 13; k = m + 1. If d = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 13 to n, which gives n = v + 22.\n2. Substitute v = u + 13 to n, which gives n = u + 35.\n3. Substitute u = y + 15 to n, which gives n = y + 50.\n4. Substitute y = e + 5 to n, which gives n = e + 55.\n5. Substitute e = d + 7 to n, which gives n = d + 62.\n6. Substitute d = 8 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 7872,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 16; y = e + 5; o = d + 16; n = s + 9; e = d + 7; h = o + 15; d = 8; u = y + 15; s = v + 13; m = p + 6; t = k + 14; v = u + 13; k = m + 1. If d = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 6", "a": "y + 15", "i": "a + 6", "g": "i + 5", "s": "g + 2", "j": "s + 2", "o": "k + 12", "u": "o + 16", "t": "u + 2", "q": "t + 7", "l": "q + 5", "c": "l + 11", "k": 12}, "premises": {"k": 12}, "target": "j"}, "answer": {"steps": [["s", "g + 2", "g + 4"], ["g", "i + 5", "i + 9"], ["i", "a + 6", "a + 15"], ["a", "y + 15", "y + 30"], ["y", "k + 6", "k + 36"], ["k", 12, "48"]], "target_var_name": "j", "target_value": 48, "value_dict": {"k": 12}, "is_reverse": true}} | 7,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 6; j = s + 2; a = y + 15; s = g + 2; g = i + 5; l = q + 5; y = k + 6; o = k + 12; q = t + 7; k = 12; c = l + 11; t = u + 2; u = o + 16. If k = 12, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 2 to j, which gives j = g + 4.\n2. Substitute g = i + 5 to j, which gives j = i + 9.\n3. Substitute i = a + 6 to j, which gives j = a + 15.\n4. Substitute a = y + 15 to j, which gives j = y + 30.\n5. Substitute y = k + 6 to j, which gives j = k + 36.\n6. Substitute k = 12 to j, which gives j = 48.\n\nThus, the final answer is j = \\boxed{48}.",
"index": 7873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 6; j = s + 2; a = y + 15; s = g + 2; g = i + 5; l = q + 5; y = k + 6; o = k + 12; q = t + 7; k = 12; c = l + 11; t = u + 2; u = o + 16. If k = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 14", "r": "y + 3", "u": "r + 1", "o": "u + 16", "p": "o + 12", "v": "p + 20", "e": "x + 8", "i": "e + 5", "l": "i + 8", "c": "l + 8", "s": "c + 6", "z": "s + 19", "x": 11}, "premises": {"x": 11}, "target": "v"}, "answer": {"steps": [["p", "o + 12", "o + 32"], ["o", "u + 16", "u + 48"], ["u", "r + 1", "r + 49"], ["r", "y + 3", "y + 52"], ["y", "x + 14", "x + 66"], ["x", 11, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"x": 11}, "is_reverse": true}} | 7,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 8; o = u + 16; e = x + 8; y = x + 14; l = i + 8; s = c + 6; v = p + 20; i = e + 5; r = y + 3; x = 11; p = o + 12; u = r + 1; z = s + 19. Given that x = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 12 to v, which gives v = o + 32.\n2. Substitute o = u + 16 to v, which gives v = u + 48.\n3. Substitute u = r + 1 to v, which gives v = r + 49.\n4. Substitute r = y + 3 to v, which gives v = y + 52.\n5. Substitute y = x + 14 to v, which gives v = x + 66.\n6. Substitute x = 11 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 7874,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 8; o = u + 16; e = x + 8; y = x + 14; l = i + 8; s = c + 6; v = p + 20; i = e + 5; r = y + 3; x = 11; p = o + 12; u = r + 1; z = s + 19. Given that x = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 8", "r": "t + 9", "c": "r + 16", "g": "c + 16", "x": "g + 17", "v": "x + 15", "u": "w + 8", "d": "u + 10", "a": "d + 10", "b": "a + 20", "f": "b + 17", "h": "f + 6", "w": 16}, "premises": {"w": 16}, "target": "v"}, "answer": {"steps": [["x", "g + 17", "g + 32"], ["g", "c + 16", "c + 48"], ["c", "r + 16", "r + 64"], ["r", "t + 9", "t + 73"], ["t", "w + 8", "w + 81"], ["w", 16, "97"]], "target_var_name": "v", "target_value": 97, "value_dict": {"w": 16}, "is_reverse": true}} | 7,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 9; t = w + 8; f = b + 17; a = d + 10; x = g + 17; g = c + 16; d = u + 10; h = f + 6; v = x + 15; b = a + 20; c = r + 16; u = w + 8; w = 16. If w = 16, determine 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 x = g + 17 to v, which gives v = g + 32.\n2. Substitute g = c + 16 to v, which gives v = c + 48.\n3. Substitute c = r + 16 to v, which gives v = r + 64.\n4. Substitute r = t + 9 to v, which gives v = t + 73.\n5. Substitute t = w + 8 to v, which gives v = w + 81.\n6. Substitute w = 16 to v, which gives v = 97.\n\nThus, the final answer is v = \\boxed{97}.",
"index": 7875,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 9; t = w + 8; f = b + 17; a = d + 10; x = g + 17; g = c + 16; d = u + 10; h = f + 6; v = x + 15; b = a + 20; c = r + 16; u = w + 8; w = 16. If w = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 20", "l": "u + 1", "z": "l + 15", "d": "z + 6", "h": "d + 11", "m": "h + 8", "n": "i + 11", "g": "n + 13", "v": "g + 11", "a": "v + 7", "s": "a + 4", "t": "s + 17", "i": 5}, "premises": {"i": 5}, "target": "m"}, "answer": {"steps": [["h", "d + 11", "d + 19"], ["d", "z + 6", "z + 25"], ["z", "l + 15", "l + 40"], ["l", "u + 1", "u + 41"], ["u", "i + 20", "i + 61"], ["i", 5, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"i": 5}, "is_reverse": true}} | 7,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 20; n = i + 11; t = s + 17; m = h + 8; i = 5; s = a + 4; d = z + 6; h = d + 11; a = v + 7; l = u + 1; v = g + 11; z = l + 15; g = n + 13. Given that i = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 11 to m, which gives m = d + 19.\n2. Substitute d = z + 6 to m, which gives m = z + 25.\n3. Substitute z = l + 15 to m, which gives m = l + 40.\n4. Substitute l = u + 1 to m, which gives m = u + 41.\n5. Substitute u = i + 20 to m, which gives m = i + 61.\n6. Substitute i = 5 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 7876,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 20; n = i + 11; t = s + 17; m = h + 8; i = 5; s = a + 4; d = z + 6; h = d + 11; a = v + 7; l = u + 1; v = g + 11; z = l + 15; g = n + 13. Given that i = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 6", "e": "s + 16", "k": "e + 3", "u": "k + 1", "a": "u + 2", "o": "a + 5", "w": "p + 17", "h": "w + 17", "r": "h + 12", "b": "r + 17", "j": "b + 8", "d": "j + 1", "p": 4}, "premises": {"p": 4}, "target": "o"}, "answer": {"steps": [["a", "u + 2", "u + 7"], ["u", "k + 1", "k + 8"], ["k", "e + 3", "e + 11"], ["e", "s + 16", "s + 27"], ["s", "p + 6", "p + 33"], ["p", 4, "37"]], "target_var_name": "o", "target_value": 37, "value_dict": {"p": 4}, "is_reverse": true}} | 7,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 16; a = u + 2; w = p + 17; j = b + 8; h = w + 17; s = p + 6; r = h + 12; p = 4; d = j + 1; o = a + 5; b = r + 17; k = e + 3; u = k + 1. If p = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 37,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 2 to o, which gives o = u + 7.\n2. Substitute u = k + 1 to o, which gives o = k + 8.\n3. Substitute k = e + 3 to o, which gives o = e + 11.\n4. Substitute e = s + 16 to o, which gives o = s + 27.\n5. Substitute s = p + 6 to o, which gives o = p + 33.\n6. Substitute p = 4 to o, which gives o = 37.\n\nThus, the final answer is o = \\boxed{37}.",
"index": 7877,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 16; a = u + 2; w = p + 17; j = b + 8; h = w + 17; s = p + 6; r = h + 12; p = 4; d = j + 1; o = a + 5; b = r + 17; k = e + 3; u = k + 1. If p = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 12", "e": "p + 11", "k": "e + 19", "n": "k + 19", "b": "n + 1", "f": "b + 7", "q": "m + 4", "i": "q + 20", "v": "i + 17", "x": "v + 19", "y": "x + 20", "d": "y + 1", "m": 3}, "premises": {"m": 3}, "target": "f"}, "answer": {"steps": [["b", "n + 1", "n + 8"], ["n", "k + 19", "k + 27"], ["k", "e + 19", "e + 46"], ["e", "p + 11", "p + 57"], ["p", "m + 12", "m + 69"], ["m", 3, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"m": 3}, "is_reverse": true}} | 7,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 19; n = k + 19; y = x + 20; i = q + 20; e = p + 11; p = m + 12; q = m + 4; f = b + 7; x = v + 19; m = 3; b = n + 1; v = i + 17; d = y + 1. If m = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 1 to f, which gives f = n + 8.\n2. Substitute n = k + 19 to f, which gives f = k + 27.\n3. Substitute k = e + 19 to f, which gives f = e + 46.\n4. Substitute e = p + 11 to f, which gives f = p + 57.\n5. Substitute p = m + 12 to f, which gives f = m + 69.\n6. Substitute m = 3 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 7878,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 19; n = k + 19; y = x + 20; i = q + 20; e = p + 11; p = m + 12; q = m + 4; f = b + 7; x = v + 19; m = 3; b = n + 1; v = i + 17; d = y + 1. If m = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 19", "t": "y + 19", "e": "t + 18", "w": "e + 15", "q": "w + 2", "l": "q + 14", "r": "a + 5", "d": "r + 14", "b": "d + 2", "m": "b + 19", "h": "m + 1", "c": "h + 4", "a": 5}, "premises": {"a": 5}, "target": "l"}, "answer": {"steps": [["q", "w + 2", "w + 16"], ["w", "e + 15", "e + 31"], ["e", "t + 18", "t + 49"], ["t", "y + 19", "y + 68"], ["y", "a + 19", "a + 87"], ["a", 5, "92"]], "target_var_name": "l", "target_value": 92, "value_dict": {"a": 5}, "is_reverse": true}} | 7,879 | 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 = w + 2; m = b + 19; y = a + 19; t = y + 19; d = r + 14; w = e + 15; e = t + 18; a = 5; b = d + 2; l = q + 14; h = m + 1; c = h + 4; r = a + 5. If a = 5, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 2 to l, which gives l = w + 16.\n2. Substitute w = e + 15 to l, which gives l = e + 31.\n3. Substitute e = t + 18 to l, which gives l = t + 49.\n4. Substitute t = y + 19 to l, which gives l = y + 68.\n5. Substitute y = a + 19 to l, which gives l = a + 87.\n6. Substitute a = 5 to l, which gives l = 92.\n\nThus, the final answer is l = \\boxed{92}.",
"index": 7879,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 2; m = b + 19; y = a + 19; t = y + 19; d = r + 14; w = e + 15; e = t + 18; a = 5; b = d + 2; l = q + 14; h = m + 1; c = h + 4; r = a + 5. If a = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 18", "a": "r + 6", "d": "a + 9", "u": "d + 18", "o": "u + 20", "b": "o + 19", "z": "e + 19", "t": "z + 20", "g": "t + 12", "w": "g + 16", "j": "w + 10", "p": "j + 18", "e": 20}, "premises": {"e": 20}, "target": "b"}, "answer": {"steps": [["o", "u + 20", "u + 39"], ["u", "d + 18", "d + 57"], ["d", "a + 9", "a + 66"], ["a", "r + 6", "r + 72"], ["r", "e + 18", "e + 90"], ["e", 20, "110"]], "target_var_name": "b", "target_value": 110, "value_dict": {"e": 20}, "is_reverse": true}} | 7,880 | 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 = a + 9; o = u + 20; p = j + 18; j = w + 10; w = g + 16; e = 20; u = d + 18; z = e + 19; t = z + 20; r = e + 18; a = r + 6; g = t + 12; b = o + 19. If e = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 20 to b, which gives b = u + 39.\n2. Substitute u = d + 18 to b, which gives b = d + 57.\n3. Substitute d = a + 9 to b, which gives b = a + 66.\n4. Substitute a = r + 6 to b, which gives b = r + 72.\n5. Substitute r = e + 18 to b, which gives b = e + 90.\n6. Substitute e = 20 to b, which gives b = 110.\n\nThus, the final answer is b = \\boxed{110}.",
"index": 7880,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 9; o = u + 20; p = j + 18; j = w + 10; w = g + 16; e = 20; u = d + 18; z = e + 19; t = z + 20; r = e + 18; a = r + 6; g = t + 12; b = o + 19. If e = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 10", "l": "x + 9", "s": "l + 15", "d": "s + 5", "v": "d + 10", "u": "v + 10", "k": "a + 3", "t": "k + 10", "b": "t + 1", "r": "b + 3", "g": "r + 19", "f": "g + 17", "a": 12}, "premises": {"a": 12}, "target": "u"}, "answer": {"steps": [["v", "d + 10", "d + 20"], ["d", "s + 5", "s + 25"], ["s", "l + 15", "l + 40"], ["l", "x + 9", "x + 49"], ["x", "a + 10", "a + 59"], ["a", 12, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"a": 12}, "is_reverse": true}} | 7,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = d + 10; d = s + 5; a = 12; s = l + 15; k = a + 3; b = t + 1; f = g + 17; r = b + 3; g = r + 19; t = k + 10; l = x + 9; x = a + 10; u = v + 10. If a = 12, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 10 to u, which gives u = d + 20.\n2. Substitute d = s + 5 to u, which gives u = s + 25.\n3. Substitute s = l + 15 to u, which gives u = l + 40.\n4. Substitute l = x + 9 to u, which gives u = x + 49.\n5. Substitute x = a + 10 to u, which gives u = a + 59.\n6. Substitute a = 12 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 7881,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 10; d = s + 5; a = 12; s = l + 15; k = a + 3; b = t + 1; f = g + 17; r = b + 3; g = r + 19; t = k + 10; l = x + 9; x = a + 10; u = v + 10. If a = 12, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 11", "d": "j + 20", "y": "d + 20", "z": "y + 6", "c": "z + 12", "a": "c + 2", "f": "l + 2", "b": "f + 15", "u": "b + 8", "m": "u + 9", "i": "m + 4", "w": "i + 9", "l": 10}, "premises": {"l": 10}, "target": "a"}, "answer": {"steps": [["c", "z + 12", "z + 14"], ["z", "y + 6", "y + 20"], ["y", "d + 20", "d + 40"], ["d", "j + 20", "j + 60"], ["j", "l + 11", "l + 71"], ["l", 10, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"l": 10}, "is_reverse": true}} | 7,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 20; b = f + 15; w = i + 9; a = c + 2; y = d + 20; f = l + 2; l = 10; u = b + 8; m = u + 9; j = l + 11; i = m + 4; z = y + 6; c = z + 12. Given that l = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 12 to a, which gives a = z + 14.\n2. Substitute z = y + 6 to a, which gives a = y + 20.\n3. Substitute y = d + 20 to a, which gives a = d + 40.\n4. Substitute d = j + 20 to a, which gives a = j + 60.\n5. Substitute j = l + 11 to a, which gives a = l + 71.\n6. Substitute l = 10 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 7882,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 20; b = f + 15; w = i + 9; a = c + 2; y = d + 20; f = l + 2; l = 10; u = b + 8; m = u + 9; j = l + 11; i = m + 4; z = y + 6; c = z + 12. Given that l = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 6", "s": "w + 6", "h": "s + 5", "g": "h + 17", "u": "g + 5", "a": "u + 1", "p": "z + 5", "j": "p + 17", "x": "j + 11", "t": "x + 9", "q": "t + 16", "i": "q + 18", "z": 5}, "premises": {"z": 5}, "target": "a"}, "answer": {"steps": [["u", "g + 5", "g + 6"], ["g", "h + 17", "h + 23"], ["h", "s + 5", "s + 28"], ["s", "w + 6", "w + 34"], ["w", "z + 6", "z + 40"], ["z", 5, "45"]], "target_var_name": "a", "target_value": 45, "value_dict": {"z": 5}, "is_reverse": true}} | 7,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 16; p = z + 5; x = j + 11; u = g + 5; a = u + 1; t = x + 9; w = z + 6; i = q + 18; s = w + 6; z = 5; h = s + 5; g = h + 17; j = p + 17. Given that z = 5, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 5 to a, which gives a = g + 6.\n2. Substitute g = h + 17 to a, which gives a = h + 23.\n3. Substitute h = s + 5 to a, which gives a = s + 28.\n4. Substitute s = w + 6 to a, which gives a = w + 34.\n5. Substitute w = z + 6 to a, which gives a = z + 40.\n6. Substitute z = 5 to a, which gives a = 45.\n\nThus, the final answer is a = \\boxed{45}.",
"index": 7883,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 16; p = z + 5; x = j + 11; u = g + 5; a = u + 1; t = x + 9; w = z + 6; i = q + 18; s = w + 6; z = 5; h = s + 5; g = h + 17; j = p + 17. Given that z = 5, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 17", "c": "s + 16", "v": "c + 20", "b": "v + 1", "f": "b + 18", "z": "f + 12", "g": "o + 13", "e": "g + 1", "q": "e + 14", "y": "q + 1", "d": "y + 7", "w": "d + 8", "o": 6}, "premises": {"o": 6}, "target": "z"}, "answer": {"steps": [["f", "b + 18", "b + 30"], ["b", "v + 1", "v + 31"], ["v", "c + 20", "c + 51"], ["c", "s + 16", "s + 67"], ["s", "o + 17", "o + 84"], ["o", 6, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"o": 6}, "is_reverse": true}} | 7,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 1; d = y + 7; f = b + 18; y = q + 1; w = d + 8; z = f + 12; q = e + 14; c = s + 16; b = v + 1; o = 6; g = o + 13; s = o + 17; v = c + 20. If o = 6, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 18 to z, which gives z = b + 30.\n2. Substitute b = v + 1 to z, which gives z = v + 31.\n3. Substitute v = c + 20 to z, which gives z = c + 51.\n4. Substitute c = s + 16 to z, which gives z = s + 67.\n5. Substitute s = o + 17 to z, which gives z = o + 84.\n6. Substitute o = 6 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 7884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 1; d = y + 7; f = b + 18; y = q + 1; w = d + 8; z = f + 12; q = e + 14; c = s + 16; b = v + 1; o = 6; g = o + 13; s = o + 17; v = c + 20. If o = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 1", "k": "t + 19", "n": "k + 5", "o": "n + 17", "m": "o + 6", "v": "m + 9", "u": "y + 20", "r": "u + 2", "h": "r + 4", "w": "h + 12", "e": "w + 19", "q": "e + 5", "y": 17}, "premises": {"y": 17}, "target": "v"}, "answer": {"steps": [["m", "o + 6", "o + 15"], ["o", "n + 17", "n + 32"], ["n", "k + 5", "k + 37"], ["k", "t + 19", "t + 56"], ["t", "y + 1", "y + 57"], ["y", 17, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"y": 17}, "is_reverse": true}} | 7,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 9; w = h + 12; u = y + 20; h = r + 4; n = k + 5; q = e + 5; k = t + 19; r = u + 2; t = y + 1; m = o + 6; y = 17; o = n + 17; e = w + 19. Given that y = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 6 to v, which gives v = o + 15.\n2. Substitute o = n + 17 to v, which gives v = n + 32.\n3. Substitute n = k + 5 to v, which gives v = k + 37.\n4. Substitute k = t + 19 to v, which gives v = t + 56.\n5. Substitute t = y + 1 to v, which gives v = y + 57.\n6. Substitute y = 17 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 7885,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 9; w = h + 12; u = y + 20; h = r + 4; n = k + 5; q = e + 5; k = t + 19; r = u + 2; t = y + 1; m = o + 6; y = 17; o = n + 17; e = w + 19. Given that y = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 9", "d": "a + 9", "t": "d + 8", "h": "t + 5", "i": "h + 7", "s": "i + 6", "r": "j + 18", "u": "r + 16", "y": "u + 9", "n": "y + 5", "f": "n + 4", "m": "f + 4", "j": 20}, "premises": {"j": 20}, "target": "s"}, "answer": {"steps": [["i", "h + 7", "h + 13"], ["h", "t + 5", "t + 18"], ["t", "d + 8", "d + 26"], ["d", "a + 9", "a + 35"], ["a", "j + 9", "j + 44"], ["j", 20, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"j": 20}, "is_reverse": true}} | 7,886 | 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 = 20; n = y + 5; t = d + 8; i = h + 7; m = f + 4; y = u + 9; u = r + 16; f = n + 4; r = j + 18; h = t + 5; a = j + 9; d = a + 9; s = i + 6. If j = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 7 to s, which gives s = h + 13.\n2. Substitute h = t + 5 to s, which gives s = t + 18.\n3. Substitute t = d + 8 to s, which gives s = d + 26.\n4. Substitute d = a + 9 to s, which gives s = a + 35.\n5. Substitute a = j + 9 to s, which gives s = j + 44.\n6. Substitute j = 20 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 7886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 20; n = y + 5; t = d + 8; i = h + 7; m = f + 4; y = u + 9; u = r + 16; f = n + 4; r = j + 18; h = t + 5; a = j + 9; d = a + 9; s = i + 6. If j = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 12", "v": "n + 1", "t": "v + 17", "g": "t + 2", "r": "g + 19", "y": "r + 2", "l": "u + 16", "o": "l + 12", "d": "o + 4", "e": "d + 17", "p": "e + 17", "b": "p + 1", "u": 16}, "premises": {"u": 16}, "target": "y"}, "answer": {"steps": [["r", "g + 19", "g + 21"], ["g", "t + 2", "t + 23"], ["t", "v + 17", "v + 40"], ["v", "n + 1", "n + 41"], ["n", "u + 12", "u + 53"], ["u", 16, "69"]], "target_var_name": "y", "target_value": 69, "value_dict": {"u": 16}, "is_reverse": true}} | 7,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 17; e = d + 17; r = g + 19; v = n + 1; b = p + 1; d = o + 4; o = l + 12; n = u + 12; y = r + 2; l = u + 16; t = v + 17; u = 16; g = t + 2. If u = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 19 to y, which gives y = g + 21.\n2. Substitute g = t + 2 to y, which gives y = t + 23.\n3. Substitute t = v + 17 to y, which gives y = v + 40.\n4. Substitute v = n + 1 to y, which gives y = n + 41.\n5. Substitute n = u + 12 to y, which gives y = u + 53.\n6. Substitute u = 16 to y, which gives y = 69.\n\nThus, the final answer is y = \\boxed{69}.",
"index": 7887,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 17; e = d + 17; r = g + 19; v = n + 1; b = p + 1; d = o + 4; o = l + 12; n = u + 12; y = r + 2; l = u + 16; t = v + 17; u = 16; g = t + 2. If u = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 15", "a": "n + 18", "w": "a + 13", "k": "w + 11", "j": "k + 5", "c": "j + 1", "u": "q + 15", "r": "u + 18", "z": "r + 6", "b": "z + 10", "g": "b + 6", "s": "g + 18", "q": 16}, "premises": {"q": 16}, "target": "c"}, "answer": {"steps": [["j", "k + 5", "k + 6"], ["k", "w + 11", "w + 17"], ["w", "a + 13", "a + 30"], ["a", "n + 18", "n + 48"], ["n", "q + 15", "q + 63"], ["q", 16, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"q": 16}, "is_reverse": true}} | 7,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 13; b = z + 10; a = n + 18; k = w + 11; r = u + 18; g = b + 6; q = 16; n = q + 15; z = r + 6; c = j + 1; u = q + 15; j = k + 5; s = g + 18. If q = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 5 to c, which gives c = k + 6.\n2. Substitute k = w + 11 to c, which gives c = w + 17.\n3. Substitute w = a + 13 to c, which gives c = a + 30.\n4. Substitute a = n + 18 to c, which gives c = n + 48.\n5. Substitute n = q + 15 to c, which gives c = q + 63.\n6. Substitute q = 16 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 7888,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 13; b = z + 10; a = n + 18; k = w + 11; r = u + 18; g = b + 6; q = 16; n = q + 15; z = r + 6; c = j + 1; u = q + 15; j = k + 5; s = g + 18. If q = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 5", "o": "u + 5", "c": "o + 19", "b": "c + 10", "z": "b + 18", "a": "z + 18", "x": "p + 12", "q": "x + 3", "d": "q + 8", "r": "d + 2", "i": "r + 9", "m": "i + 12", "p": 9}, "premises": {"p": 9}, "target": "a"}, "answer": {"steps": [["z", "b + 18", "b + 36"], ["b", "c + 10", "c + 46"], ["c", "o + 19", "o + 65"], ["o", "u + 5", "u + 70"], ["u", "p + 5", "p + 75"], ["p", 9, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"p": 9}, "is_reverse": true}} | 7,889 | 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 = d + 2; z = b + 18; q = x + 3; a = z + 18; o = u + 5; m = i + 12; b = c + 10; p = 9; u = p + 5; x = p + 12; d = q + 8; c = o + 19; i = r + 9. If p = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 18 to a, which gives a = b + 36.\n2. Substitute b = c + 10 to a, which gives a = c + 46.\n3. Substitute c = o + 19 to a, which gives a = o + 65.\n4. Substitute o = u + 5 to a, which gives a = u + 70.\n5. Substitute u = p + 5 to a, which gives a = p + 75.\n6. Substitute p = 9 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 7889,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 2; z = b + 18; q = x + 3; a = z + 18; o = u + 5; m = i + 12; b = c + 10; p = 9; u = p + 5; x = p + 12; d = q + 8; c = o + 19; i = r + 9. If p = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 11", "x": "j + 16", "s": "x + 17", "h": "s + 7", "i": "h + 13", "b": "i + 9", "d": "e + 18", "m": "d + 5", "g": "m + 20", "t": "g + 16", "r": "t + 3", "v": "r + 19", "e": 7}, "premises": {"e": 7}, "target": "b"}, "answer": {"steps": [["i", "h + 13", "h + 22"], ["h", "s + 7", "s + 29"], ["s", "x + 17", "x + 46"], ["x", "j + 16", "j + 62"], ["j", "e + 11", "e + 73"], ["e", 7, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"e": 7}, "is_reverse": true}} | 7,890 | 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 = j + 16; r = t + 3; h = s + 7; s = x + 17; m = d + 5; e = 7; g = m + 20; t = g + 16; i = h + 13; v = r + 19; j = e + 11; b = i + 9; d = e + 18. If e = 7, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 13 to b, which gives b = h + 22.\n2. Substitute h = s + 7 to b, which gives b = s + 29.\n3. Substitute s = x + 17 to b, which gives b = x + 46.\n4. Substitute x = j + 16 to b, which gives b = j + 62.\n5. Substitute j = e + 11 to b, which gives b = e + 73.\n6. Substitute e = 7 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 7890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 16; r = t + 3; h = s + 7; s = x + 17; m = d + 5; e = 7; g = m + 20; t = g + 16; i = h + 13; v = r + 19; j = e + 11; b = i + 9; d = e + 18. If e = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 9", "r": "d + 13", "t": "r + 7", "l": "t + 11", "p": "l + 1", "g": "p + 6", "m": "q + 17", "b": "m + 8", "f": "b + 10", "n": "f + 11", "y": "n + 20", "i": "y + 2", "q": 13}, "premises": {"q": 13}, "target": "g"}, "answer": {"steps": [["p", "l + 1", "l + 7"], ["l", "t + 11", "t + 18"], ["t", "r + 7", "r + 25"], ["r", "d + 13", "d + 38"], ["d", "q + 9", "q + 47"], ["q", 13, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"q": 13}, "is_reverse": true}} | 7,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 8; r = d + 13; q = 13; n = f + 11; g = p + 6; l = t + 11; i = y + 2; f = b + 10; p = l + 1; m = q + 17; y = n + 20; t = r + 7; d = q + 9. Given that q = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 1 to g, which gives g = l + 7.\n2. Substitute l = t + 11 to g, which gives g = t + 18.\n3. Substitute t = r + 7 to g, which gives g = r + 25.\n4. Substitute r = d + 13 to g, which gives g = d + 38.\n5. Substitute d = q + 9 to g, which gives g = q + 47.\n6. Substitute q = 13 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 7891,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 8; r = d + 13; q = 13; n = f + 11; g = p + 6; l = t + 11; i = y + 2; f = b + 10; p = l + 1; m = q + 17; y = n + 20; t = r + 7; d = q + 9. Given that q = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 10", "o": "f + 18", "w": "o + 7", "g": "w + 7", "b": "g + 5", "u": "b + 3", "j": "l + 16", "t": "j + 7", "y": "t + 5", "e": "y + 13", "v": "e + 5", "q": "v + 18", "l": 18}, "premises": {"l": 18}, "target": "u"}, "answer": {"steps": [["b", "g + 5", "g + 8"], ["g", "w + 7", "w + 15"], ["w", "o + 7", "o + 22"], ["o", "f + 18", "f + 40"], ["f", "l + 10", "l + 50"], ["l", 18, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"l": 18}, "is_reverse": true}} | 7,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 16; b = g + 5; w = o + 7; e = y + 13; v = e + 5; f = l + 10; t = j + 7; y = t + 5; g = w + 7; l = 18; q = v + 18; o = f + 18; u = b + 3. Given that l = 18, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 5 to u, which gives u = g + 8.\n2. Substitute g = w + 7 to u, which gives u = w + 15.\n3. Substitute w = o + 7 to u, which gives u = o + 22.\n4. Substitute o = f + 18 to u, which gives u = f + 40.\n5. Substitute f = l + 10 to u, which gives u = l + 50.\n6. Substitute l = 18 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 7892,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 16; b = g + 5; w = o + 7; e = y + 13; v = e + 5; f = l + 10; t = j + 7; y = t + 5; g = w + 7; l = 18; q = v + 18; o = f + 18; u = b + 3. Given that l = 18, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 6", "n": "h + 11", "x": "n + 1", "g": "x + 2", "b": "g + 10", "o": "b + 3", "t": "d + 20", "f": "t + 19", "a": "f + 10", "j": "a + 9", "u": "j + 13", "k": "u + 3", "d": 10}, "premises": {"d": 10}, "target": "o"}, "answer": {"steps": [["b", "g + 10", "g + 13"], ["g", "x + 2", "x + 15"], ["x", "n + 1", "n + 16"], ["n", "h + 11", "h + 27"], ["h", "d + 6", "d + 33"], ["d", 10, "43"]], "target_var_name": "o", "target_value": 43, "value_dict": {"d": 10}, "is_reverse": true}} | 7,893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = a + 9; d = 10; g = x + 2; k = u + 3; x = n + 1; t = d + 20; a = f + 10; h = d + 6; n = h + 11; f = t + 19; b = g + 10; u = j + 13; o = b + 3. Given that d = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 10 to o, which gives o = g + 13.\n2. Substitute g = x + 2 to o, which gives o = x + 15.\n3. Substitute x = n + 1 to o, which gives o = n + 16.\n4. Substitute n = h + 11 to o, which gives o = h + 27.\n5. Substitute h = d + 6 to o, which gives o = d + 33.\n6. Substitute d = 10 to o, which gives o = 43.\n\nThus, the final answer is o = \\boxed{43}.",
"index": 7893,
"question": "Suppose a collection of variables is related by the following definitions: j = a + 9; d = 10; g = x + 2; k = u + 3; x = n + 1; t = d + 20; a = f + 10; h = d + 6; n = h + 11; f = t + 19; b = g + 10; u = j + 13; o = b + 3. Given that d = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 12", "g": "o + 15", "q": "g + 6", "c": "q + 19", "s": "c + 7", "w": "s + 13", "l": "t + 8", "i": "l + 7", "k": "i + 1", "r": "k + 18", "u": "r + 13", "m": "u + 12", "t": 19}, "premises": {"t": 19}, "target": "w"}, "answer": {"steps": [["s", "c + 7", "c + 20"], ["c", "q + 19", "q + 39"], ["q", "g + 6", "g + 45"], ["g", "o + 15", "o + 60"], ["o", "t + 12", "t + 72"], ["t", 19, "91"]], "target_var_name": "w", "target_value": 91, "value_dict": {"t": 19}, "is_reverse": true}} | 7,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 1; g = o + 15; o = t + 12; l = t + 8; q = g + 6; i = l + 7; m = u + 12; t = 19; c = q + 19; r = k + 18; w = s + 13; s = c + 7; u = r + 13. Given that t = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 7 to w, which gives w = c + 20.\n2. Substitute c = q + 19 to w, which gives w = q + 39.\n3. Substitute q = g + 6 to w, which gives w = g + 45.\n4. Substitute g = o + 15 to w, which gives w = o + 60.\n5. Substitute o = t + 12 to w, which gives w = t + 72.\n6. Substitute t = 19 to w, which gives w = 91.\n\nThus, the final answer is w = \\boxed{91}.",
"index": 7894,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 1; g = o + 15; o = t + 12; l = t + 8; q = g + 6; i = l + 7; m = u + 12; t = 19; c = q + 19; r = k + 18; w = s + 13; s = c + 7; u = r + 13. Given that t = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 19", "k": "z + 11", "y": "k + 5", "c": "y + 9", "f": "c + 7", "q": "f + 3", "p": "v + 6", "h": "p + 10", "t": "h + 15", "d": "t + 8", "a": "d + 14", "l": "a + 15", "v": 5}, "premises": {"v": 5}, "target": "q"}, "answer": {"steps": [["f", "c + 7", "c + 10"], ["c", "y + 9", "y + 19"], ["y", "k + 5", "k + 24"], ["k", "z + 11", "z + 35"], ["z", "v + 19", "v + 54"], ["v", 5, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"v": 5}, "is_reverse": true}} | 7,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 15; y = k + 5; h = p + 10; d = t + 8; k = z + 11; z = v + 19; a = d + 14; c = y + 9; q = f + 3; p = v + 6; f = c + 7; v = 5; t = h + 15. If v = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 7 to q, which gives q = c + 10.\n2. Substitute c = y + 9 to q, which gives q = y + 19.\n3. Substitute y = k + 5 to q, which gives q = k + 24.\n4. Substitute k = z + 11 to q, which gives q = z + 35.\n5. Substitute z = v + 19 to q, which gives q = v + 54.\n6. Substitute v = 5 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 7895,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 15; y = k + 5; h = p + 10; d = t + 8; k = z + 11; z = v + 19; a = d + 14; c = y + 9; q = f + 3; p = v + 6; f = c + 7; v = 5; t = h + 15. If v = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 11", "h": "i + 10", "x": "h + 18", "m": "x + 15", "a": "m + 18", "e": "a + 18", "w": "q + 14", "o": "w + 7", "k": "o + 13", "p": "k + 11", "f": "p + 9", "c": "f + 2", "q": 13}, "premises": {"q": 13}, "target": "e"}, "answer": {"steps": [["a", "m + 18", "m + 36"], ["m", "x + 15", "x + 51"], ["x", "h + 18", "h + 69"], ["h", "i + 10", "i + 79"], ["i", "q + 11", "q + 90"], ["q", 13, "103"]], "target_var_name": "e", "target_value": 103, "value_dict": {"q": 13}, "is_reverse": true}} | 7,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 13; h = i + 10; p = k + 11; m = x + 15; f = p + 9; o = w + 7; x = h + 18; c = f + 2; q = 13; e = a + 18; a = m + 18; w = q + 14; i = q + 11. Given that q = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 18 to e, which gives e = m + 36.\n2. Substitute m = x + 15 to e, which gives e = x + 51.\n3. Substitute x = h + 18 to e, which gives e = h + 69.\n4. Substitute h = i + 10 to e, which gives e = i + 79.\n5. Substitute i = q + 11 to e, which gives e = q + 90.\n6. Substitute q = 13 to e, which gives e = 103.\n\nThus, the final answer is e = \\boxed{103}.",
"index": 7896,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 13; h = i + 10; p = k + 11; m = x + 15; f = p + 9; o = w + 7; x = h + 18; c = f + 2; q = 13; e = a + 18; a = m + 18; w = q + 14; i = q + 11. Given that q = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 16", "n": "a + 17", "t": "n + 14", "w": "t + 9", "l": "w + 8", "g": "l + 16", "h": "q + 17", "u": "h + 13", "d": "u + 14", "c": "d + 14", "o": "c + 13", "j": "o + 19", "q": 2}, "premises": {"q": 2}, "target": "g"}, "answer": {"steps": [["l", "w + 8", "w + 24"], ["w", "t + 9", "t + 33"], ["t", "n + 14", "n + 47"], ["n", "a + 17", "a + 64"], ["a", "q + 16", "q + 80"], ["q", 2, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"q": 2}, "is_reverse": true}} | 7,897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 2; t = n + 14; c = d + 14; a = q + 16; d = u + 14; n = a + 17; u = h + 13; g = l + 16; l = w + 8; w = t + 9; o = c + 13; h = q + 17; j = o + 19. If q = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 8 to g, which gives g = w + 24.\n2. Substitute w = t + 9 to g, which gives g = t + 33.\n3. Substitute t = n + 14 to g, which gives g = n + 47.\n4. Substitute n = a + 17 to g, which gives g = a + 64.\n5. Substitute a = q + 16 to g, which gives g = q + 80.\n6. Substitute q = 2 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 7897,
"question": "Consider a system of variables where each variable is defined as follows: q = 2; t = n + 14; c = d + 14; a = q + 16; d = u + 14; n = a + 17; u = h + 13; g = l + 16; l = w + 8; w = t + 9; o = c + 13; h = q + 17; j = o + 19. If q = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 4", "z": "b + 7", "f": "z + 1", "m": "f + 9", "j": "m + 14", "x": "j + 10", "e": "i + 7", "u": "e + 11", "d": "u + 19", "q": "d + 1", "c": "q + 6", "n": "c + 12", "i": 6}, "premises": {"i": 6}, "target": "x"}, "answer": {"steps": [["j", "m + 14", "m + 24"], ["m", "f + 9", "f + 33"], ["f", "z + 1", "z + 34"], ["z", "b + 7", "b + 41"], ["b", "i + 4", "i + 45"], ["i", 6, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"i": 6}, "is_reverse": true}} | 7,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 6; e = i + 7; n = c + 12; q = d + 1; f = z + 1; b = i + 4; c = q + 6; j = m + 14; x = j + 10; m = f + 9; u = e + 11; d = u + 19; z = b + 7. If i = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 14 to x, which gives x = m + 24.\n2. Substitute m = f + 9 to x, which gives x = f + 33.\n3. Substitute f = z + 1 to x, which gives x = z + 34.\n4. Substitute z = b + 7 to x, which gives x = b + 41.\n5. Substitute b = i + 4 to x, which gives x = i + 45.\n6. Substitute i = 6 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 7898,
"question": "Consider a system of variables where each variable is defined as follows: i = 6; e = i + 7; n = c + 12; q = d + 1; f = z + 1; b = i + 4; c = q + 6; j = m + 14; x = j + 10; m = f + 9; u = e + 11; d = u + 19; z = b + 7. If i = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 3", "x": "v + 5", "a": "x + 17", "p": "a + 10", "k": "p + 11", "c": "k + 3", "f": "m + 12", "e": "f + 11", "q": "e + 5", "t": "q + 5", "g": "t + 12", "r": "g + 14", "m": 13}, "premises": {"m": 13}, "target": "c"}, "answer": {"steps": [["k", "p + 11", "p + 14"], ["p", "a + 10", "a + 24"], ["a", "x + 17", "x + 41"], ["x", "v + 5", "v + 46"], ["v", "m + 3", "m + 49"], ["m", 13, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"m": 13}, "is_reverse": true}} | 7,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = q + 5; f = m + 12; v = m + 3; p = a + 10; k = p + 11; e = f + 11; q = e + 5; a = x + 17; r = g + 14; x = v + 5; m = 13; g = t + 12; c = k + 3. If m = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 11 to c, which gives c = p + 14.\n2. Substitute p = a + 10 to c, which gives c = a + 24.\n3. Substitute a = x + 17 to c, which gives c = x + 41.\n4. Substitute x = v + 5 to c, which gives c = v + 46.\n5. Substitute v = m + 3 to c, which gives c = m + 49.\n6. Substitute m = 13 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 7899,
"question": "Consider a system of variables where each variable is defined as follows: t = q + 5; f = m + 12; v = m + 3; p = a + 10; k = p + 11; e = f + 11; q = e + 5; a = x + 17; r = g + 14; x = v + 5; m = 13; g = t + 12; c = k + 3. If m = 13, determine the value of c.",
"split": "train"
} |
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