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": {"y": "i + 10", "p": "y + 18", "l": "p + 14", "m": "l + 9", "o": "m + 1", "b": "o + 16", "q": "i + 16", "f": "q + 5", "n": "f + 17", "a": "n + 3", "d": "a + 8", "x": "d + 16", "i": 17}, "premises": {"i": 17}, "target": "b"}, "answer": {"steps": [["o", "m + 1", "m + 17"], ["m", "l + 9", "l + 26"], ["l", "p + 14", "p + 40"], ["p", "y + 18", "y + 58"], ["y", "i + 10", "i + 68"], ["i", 17, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"i": 17}, "is_reverse": true}} | 7,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 17; a = n + 3; y = i + 10; q = i + 16; b = o + 16; l = p + 14; m = l + 9; f = q + 5; d = a + 8; i = 17; x = d + 16; p = y + 18; o = m + 1. Given that i = 17, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 1 to b, which gives b = m + 17.\n2. Substitute m = l + 9 to b, which gives b = l + 26.\n3. Substitute l = p + 14 to b, which gives b = p + 40.\n4. Substitute p = y + 18 to b, which gives b = y + 58.\n5. Substitute y = i + 10 to b, which gives b = i + 68.\n6. Substitute i = 17 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 7100,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 17; a = n + 3; y = i + 10; q = i + 16; b = o + 16; l = p + 14; m = l + 9; f = q + 5; d = a + 8; i = 17; x = d + 16; p = y + 18; o = m + 1. Given that i = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 18", "n": "z + 19", "e": "n + 5", "g": "e + 13", "h": "g + 4", "f": "h + 17", "i": "m + 8", "a": "i + 16", "t": "a + 11", "o": "t + 18", "p": "o + 18", "w": "p + 20", "m": 14}, "premises": {"m": 14}, "target": "f"}, "answer": {"steps": [["h", "g + 4", "g + 21"], ["g", "e + 13", "e + 34"], ["e", "n + 5", "n + 39"], ["n", "z + 19", "z + 58"], ["z", "m + 18", "m + 76"], ["m", 14, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"m": 14}, "is_reverse": true}} | 7,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 5; z = m + 18; n = z + 19; o = t + 18; p = o + 18; g = e + 13; h = g + 4; w = p + 20; f = h + 17; t = a + 11; i = m + 8; m = 14; a = i + 16. If m = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 4 to f, which gives f = g + 21.\n2. Substitute g = e + 13 to f, which gives f = e + 34.\n3. Substitute e = n + 5 to f, which gives f = n + 39.\n4. Substitute n = z + 19 to f, which gives f = z + 58.\n5. Substitute z = m + 18 to f, which gives f = m + 76.\n6. Substitute m = 14 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 7101,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = n + 5; z = m + 18; n = z + 19; o = t + 18; p = o + 18; g = e + 13; h = g + 4; w = p + 20; f = h + 17; t = a + 11; i = m + 8; m = 14; a = i + 16. If m = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 20", "l": "w + 1", "f": "l + 13", "j": "f + 4", "x": "j + 19", "t": "x + 11", "i": "g + 16", "c": "i + 6", "n": "c + 2", "y": "n + 12", "z": "y + 13", "u": "z + 17", "g": 19}, "premises": {"g": 19}, "target": "t"}, "answer": {"steps": [["x", "j + 19", "j + 30"], ["j", "f + 4", "f + 34"], ["f", "l + 13", "l + 47"], ["l", "w + 1", "w + 48"], ["w", "g + 20", "g + 68"], ["g", 19, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"g": 19}, "is_reverse": true}} | 7,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 4; t = x + 11; l = w + 1; f = l + 13; c = i + 6; w = g + 20; n = c + 2; u = z + 17; g = 19; z = y + 13; x = j + 19; y = n + 12; i = g + 16. If g = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 19 to t, which gives t = j + 30.\n2. Substitute j = f + 4 to t, which gives t = f + 34.\n3. Substitute f = l + 13 to t, which gives t = l + 47.\n4. Substitute l = w + 1 to t, which gives t = w + 48.\n5. Substitute w = g + 20 to t, which gives t = g + 68.\n6. Substitute g = 19 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 7102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 4; t = x + 11; l = w + 1; f = l + 13; c = i + 6; w = g + 20; n = c + 2; u = z + 17; g = 19; z = y + 13; x = j + 19; y = n + 12; i = g + 16. If g = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 7", "t": "w + 6", "o": "t + 12", "f": "o + 9", "c": "f + 4", "a": "c + 15", "g": "d + 1", "v": "g + 3", "p": "v + 19", "j": "p + 7", "m": "j + 20", "q": "m + 18", "d": 9}, "premises": {"d": 9}, "target": "a"}, "answer": {"steps": [["c", "f + 4", "f + 19"], ["f", "o + 9", "o + 28"], ["o", "t + 12", "t + 40"], ["t", "w + 6", "w + 46"], ["w", "d + 7", "d + 53"], ["d", 9, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"d": 9}, "is_reverse": true}} | 7,103 | 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 = w + 6; a = c + 15; o = t + 12; c = f + 4; w = d + 7; m = j + 20; q = m + 18; d = 9; g = d + 1; p = v + 19; f = o + 9; j = p + 7; v = g + 3. If d = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 4 to a, which gives a = f + 19.\n2. Substitute f = o + 9 to a, which gives a = o + 28.\n3. Substitute o = t + 12 to a, which gives a = t + 40.\n4. Substitute t = w + 6 to a, which gives a = w + 46.\n5. Substitute w = d + 7 to a, which gives a = d + 53.\n6. Substitute d = 9 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 7103,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 6; a = c + 15; o = t + 12; c = f + 4; w = d + 7; m = j + 20; q = m + 18; d = 9; g = d + 1; p = v + 19; f = o + 9; j = p + 7; v = g + 3. If d = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 5", "r": "n + 3", "g": "r + 14", "w": "g + 12", "u": "w + 9", "t": "u + 13", "q": "c + 12", "s": "q + 8", "k": "s + 2", "z": "k + 6", "y": "z + 5", "j": "y + 12", "c": 2}, "premises": {"c": 2}, "target": "t"}, "answer": {"steps": [["u", "w + 9", "w + 22"], ["w", "g + 12", "g + 34"], ["g", "r + 14", "r + 48"], ["r", "n + 3", "n + 51"], ["n", "c + 5", "c + 56"], ["c", 2, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"c": 2}, "is_reverse": true}} | 7,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 12; g = r + 14; z = k + 6; c = 2; n = c + 5; s = q + 8; y = z + 5; k = s + 2; r = n + 3; u = w + 9; q = c + 12; j = y + 12; t = u + 13. If c = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 9 to t, which gives t = w + 22.\n2. Substitute w = g + 12 to t, which gives t = g + 34.\n3. Substitute g = r + 14 to t, which gives t = r + 48.\n4. Substitute r = n + 3 to t, which gives t = n + 51.\n5. Substitute n = c + 5 to t, which gives t = c + 56.\n6. Substitute c = 2 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 7104,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 12; g = r + 14; z = k + 6; c = 2; n = c + 5; s = q + 8; y = z + 5; k = s + 2; r = n + 3; u = w + 9; q = c + 12; j = y + 12; t = u + 13. If c = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 18", "t": "m + 6", "f": "t + 1", "c": "f + 10", "k": "c + 14", "d": "k + 17", "y": "i + 4", "p": "y + 7", "g": "p + 16", "q": "g + 8", "u": "q + 11", "l": "u + 2", "i": 4}, "premises": {"i": 4}, "target": "d"}, "answer": {"steps": [["k", "c + 14", "c + 31"], ["c", "f + 10", "f + 41"], ["f", "t + 1", "t + 42"], ["t", "m + 6", "m + 48"], ["m", "i + 18", "i + 66"], ["i", 4, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"i": 4}, "is_reverse": true}} | 7,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 4; i = 4; d = k + 17; l = u + 2; m = i + 18; f = t + 1; u = q + 11; t = m + 6; p = y + 7; k = c + 14; c = f + 10; q = g + 8; g = p + 16. If i = 4, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 14 to d, which gives d = c + 31.\n2. Substitute c = f + 10 to d, which gives d = f + 41.\n3. Substitute f = t + 1 to d, which gives d = t + 42.\n4. Substitute t = m + 6 to d, which gives d = m + 48.\n5. Substitute m = i + 18 to d, which gives d = i + 66.\n6. Substitute i = 4 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 7105,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 4; i = 4; d = k + 17; l = u + 2; m = i + 18; f = t + 1; u = q + 11; t = m + 6; p = y + 7; k = c + 14; c = f + 10; q = g + 8; g = p + 16. If i = 4, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 18", "v": "t + 8", "w": "v + 14", "u": "w + 14", "z": "u + 8", "p": "z + 17", "k": "o + 3", "s": "k + 11", "j": "s + 12", "q": "j + 2", "h": "q + 6", "b": "h + 13", "o": 16}, "premises": {"o": 16}, "target": "p"}, "answer": {"steps": [["z", "u + 8", "u + 25"], ["u", "w + 14", "w + 39"], ["w", "v + 14", "v + 53"], ["v", "t + 8", "t + 61"], ["t", "o + 18", "o + 79"], ["o", 16, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"o": 16}, "is_reverse": true}} | 7,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 14; p = z + 17; h = q + 6; v = t + 8; q = j + 2; s = k + 11; u = w + 14; o = 16; b = h + 13; j = s + 12; t = o + 18; k = o + 3; z = u + 8. If o = 16, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 8 to p, which gives p = u + 25.\n2. Substitute u = w + 14 to p, which gives p = w + 39.\n3. Substitute w = v + 14 to p, which gives p = v + 53.\n4. Substitute v = t + 8 to p, which gives p = t + 61.\n5. Substitute t = o + 18 to p, which gives p = o + 79.\n6. Substitute o = 16 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 7106,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 14; p = z + 17; h = q + 6; v = t + 8; q = j + 2; s = k + 11; u = w + 14; o = 16; b = h + 13; j = s + 12; t = o + 18; k = o + 3; z = u + 8. If o = 16, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 1", "y": "e + 3", "r": "y + 8", "n": "r + 12", "h": "n + 9", "k": "h + 6", "d": "z + 15", "f": "d + 18", "c": "f + 15", "b": "c + 17", "q": "b + 15", "a": "q + 2", "z": 11}, "premises": {"z": 11}, "target": "k"}, "answer": {"steps": [["h", "n + 9", "n + 15"], ["n", "r + 12", "r + 27"], ["r", "y + 8", "y + 35"], ["y", "e + 3", "e + 38"], ["e", "z + 1", "z + 39"], ["z", 11, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"z": 11}, "is_reverse": true}} | 7,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 15; z = 11; y = e + 3; f = d + 18; n = r + 12; e = z + 1; k = h + 6; b = c + 17; q = b + 15; c = f + 15; a = q + 2; r = y + 8; h = n + 9. If z = 11, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 9 to k, which gives k = n + 15.\n2. Substitute n = r + 12 to k, which gives k = r + 27.\n3. Substitute r = y + 8 to k, which gives k = y + 35.\n4. Substitute y = e + 3 to k, which gives k = e + 38.\n5. Substitute e = z + 1 to k, which gives k = z + 39.\n6. Substitute z = 11 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 7107,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 15; z = 11; y = e + 3; f = d + 18; n = r + 12; e = z + 1; k = h + 6; b = c + 17; q = b + 15; c = f + 15; a = q + 2; r = y + 8; h = n + 9. If z = 11, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 16", "q": "s + 5", "c": "q + 7", "k": "c + 11", "h": "k + 14", "x": "h + 2", "m": "v + 5", "j": "m + 15", "y": "j + 19", "w": "y + 20", "e": "w + 8", "b": "e + 17", "v": 12}, "premises": {"v": 12}, "target": "x"}, "answer": {"steps": [["h", "k + 14", "k + 16"], ["k", "c + 11", "c + 27"], ["c", "q + 7", "q + 34"], ["q", "s + 5", "s + 39"], ["s", "v + 16", "v + 55"], ["v", 12, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"v": 12}, "is_reverse": true}} | 7,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 15; y = j + 19; h = k + 14; m = v + 5; x = h + 2; e = w + 8; b = e + 17; v = 12; c = q + 7; w = y + 20; q = s + 5; k = c + 11; s = v + 16. If v = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 14 to x, which gives x = k + 16.\n2. Substitute k = c + 11 to x, which gives x = c + 27.\n3. Substitute c = q + 7 to x, which gives x = q + 34.\n4. Substitute q = s + 5 to x, which gives x = s + 39.\n5. Substitute s = v + 16 to x, which gives x = v + 55.\n6. Substitute v = 12 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 7108,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 15; y = j + 19; h = k + 14; m = v + 5; x = h + 2; e = w + 8; b = e + 17; v = 12; c = q + 7; w = y + 20; q = s + 5; k = c + 11; s = v + 16. If v = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 9", "l": "s + 11", "k": "l + 4", "g": "k + 3", "h": "g + 6", "x": "h + 19", "j": "r + 10", "u": "j + 18", "f": "u + 18", "b": "f + 19", "p": "b + 11", "d": "p + 7", "r": 18}, "premises": {"r": 18}, "target": "x"}, "answer": {"steps": [["h", "g + 6", "g + 25"], ["g", "k + 3", "k + 28"], ["k", "l + 4", "l + 32"], ["l", "s + 11", "s + 43"], ["s", "r + 9", "r + 52"], ["r", 18, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"r": 18}, "is_reverse": true}} | 7,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 3; j = r + 10; l = s + 11; h = g + 6; r = 18; f = u + 18; x = h + 19; s = r + 9; p = b + 11; b = f + 19; u = j + 18; k = l + 4; d = p + 7. If r = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 6 to x, which gives x = g + 25.\n2. Substitute g = k + 3 to x, which gives x = k + 28.\n3. Substitute k = l + 4 to x, which gives x = l + 32.\n4. Substitute l = s + 11 to x, which gives x = s + 43.\n5. Substitute s = r + 9 to x, which gives x = r + 52.\n6. Substitute r = 18 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 7109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 3; j = r + 10; l = s + 11; h = g + 6; r = 18; f = u + 18; x = h + 19; s = r + 9; p = b + 11; b = f + 19; u = j + 18; k = l + 4; d = p + 7. If r = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 14", "b": "z + 16", "s": "b + 20", "i": "s + 7", "x": "i + 16", "v": "x + 11", "d": "k + 11", "o": "d + 1", "y": "o + 2", "w": "y + 4", "p": "w + 12", "r": "p + 17", "k": 15}, "premises": {"k": 15}, "target": "v"}, "answer": {"steps": [["x", "i + 16", "i + 27"], ["i", "s + 7", "s + 34"], ["s", "b + 20", "b + 54"], ["b", "z + 16", "z + 70"], ["z", "k + 14", "k + 84"], ["k", 15, "99"]], "target_var_name": "v", "target_value": 99, "value_dict": {"k": 15}, "is_reverse": true}} | 7,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 20; p = w + 12; i = s + 7; y = o + 2; d = k + 11; o = d + 1; r = p + 17; w = y + 4; k = 15; x = i + 16; z = k + 14; v = x + 11; b = z + 16. Given that k = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 16 to v, which gives v = i + 27.\n2. Substitute i = s + 7 to v, which gives v = s + 34.\n3. Substitute s = b + 20 to v, which gives v = b + 54.\n4. Substitute b = z + 16 to v, which gives v = z + 70.\n5. Substitute z = k + 14 to v, which gives v = k + 84.\n6. Substitute k = 15 to v, which gives v = 99.\n\nThus, the final answer is v = \\boxed{99}.",
"index": 7110,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 20; p = w + 12; i = s + 7; y = o + 2; d = k + 11; o = d + 1; r = p + 17; w = y + 4; k = 15; x = i + 16; z = k + 14; v = x + 11; b = z + 16. Given that k = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 16", "c": "t + 10", "w": "c + 7", "i": "w + 2", "f": "i + 19", "p": "f + 16", "k": "x + 2", "r": "k + 15", "y": "r + 9", "n": "y + 16", "q": "n + 12", "j": "q + 19", "x": 3}, "premises": {"x": 3}, "target": "p"}, "answer": {"steps": [["f", "i + 19", "i + 35"], ["i", "w + 2", "w + 37"], ["w", "c + 7", "c + 44"], ["c", "t + 10", "t + 54"], ["t", "x + 16", "x + 70"], ["x", 3, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"x": 3}, "is_reverse": true}} | 7,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 16; f = i + 19; x = 3; n = y + 16; i = w + 2; y = r + 9; p = f + 16; c = t + 10; j = q + 19; k = x + 2; q = n + 12; r = k + 15; w = c + 7. If x = 3, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 19 to p, which gives p = i + 35.\n2. Substitute i = w + 2 to p, which gives p = w + 37.\n3. Substitute w = c + 7 to p, which gives p = c + 44.\n4. Substitute c = t + 10 to p, which gives p = t + 54.\n5. Substitute t = x + 16 to p, which gives p = x + 70.\n6. Substitute x = 3 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 7111,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 16; f = i + 19; x = 3; n = y + 16; i = w + 2; y = r + 9; p = f + 16; c = t + 10; j = q + 19; k = x + 2; q = n + 12; r = k + 15; w = c + 7. If x = 3, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 15", "x": "i + 9", "h": "x + 2", "p": "h + 9", "o": "p + 3", "d": "o + 9", "f": "a + 6", "l": "f + 19", "r": "l + 19", "e": "r + 6", "n": "e + 14", "m": "n + 6", "a": 10}, "premises": {"a": 10}, "target": "d"}, "answer": {"steps": [["o", "p + 3", "p + 12"], ["p", "h + 9", "h + 21"], ["h", "x + 2", "x + 23"], ["x", "i + 9", "i + 32"], ["i", "a + 15", "a + 47"], ["a", 10, "57"]], "target_var_name": "d", "target_value": 57, "value_dict": {"a": 10}, "is_reverse": true}} | 7,112 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 3; i = a + 15; a = 10; r = l + 19; l = f + 19; f = a + 6; d = o + 9; x = i + 9; m = n + 6; p = h + 9; e = r + 6; h = x + 2; n = e + 14. If a = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 3 to d, which gives d = p + 12.\n2. Substitute p = h + 9 to d, which gives d = h + 21.\n3. Substitute h = x + 2 to d, which gives d = x + 23.\n4. Substitute x = i + 9 to d, which gives d = i + 32.\n5. Substitute i = a + 15 to d, which gives d = a + 47.\n6. Substitute a = 10 to d, which gives d = 57.\n\nThus, the final answer is d = \\boxed{57}.",
"index": 7112,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 3; i = a + 15; a = 10; r = l + 19; l = f + 19; f = a + 6; d = o + 9; x = i + 9; m = n + 6; p = h + 9; e = r + 6; h = x + 2; n = e + 14. If a = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 5", "l": "y + 4", "d": "l + 7", "w": "d + 19", "o": "w + 18", "c": "o + 15", "x": "q + 2", "i": "x + 5", "n": "i + 9", "a": "n + 11", "f": "a + 10", "s": "f + 16", "q": 1}, "premises": {"q": 1}, "target": "c"}, "answer": {"steps": [["o", "w + 18", "w + 33"], ["w", "d + 19", "d + 52"], ["d", "l + 7", "l + 59"], ["l", "y + 4", "y + 63"], ["y", "q + 5", "q + 68"], ["q", 1, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"q": 1}, "is_reverse": true}} | 7,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 7; o = w + 18; a = n + 11; c = o + 15; f = a + 10; q = 1; l = y + 4; i = x + 5; w = d + 19; y = q + 5; x = q + 2; s = f + 16; n = i + 9. If q = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 18 to c, which gives c = w + 33.\n2. Substitute w = d + 19 to c, which gives c = d + 52.\n3. Substitute d = l + 7 to c, which gives c = l + 59.\n4. Substitute l = y + 4 to c, which gives c = y + 63.\n5. Substitute y = q + 5 to c, which gives c = q + 68.\n6. Substitute q = 1 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 7113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 7; o = w + 18; a = n + 11; c = o + 15; f = a + 10; q = 1; l = y + 4; i = x + 5; w = d + 19; y = q + 5; x = q + 2; s = f + 16; n = i + 9. If q = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 10", "e": "q + 16", "c": "e + 20", "n": "c + 8", "m": "n + 20", "j": "m + 4", "w": "l + 10", "p": "w + 3", "r": "p + 6", "v": "r + 15", "o": "v + 1", "t": "o + 2", "l": 10}, "premises": {"l": 10}, "target": "j"}, "answer": {"steps": [["m", "n + 20", "n + 24"], ["n", "c + 8", "c + 32"], ["c", "e + 20", "e + 52"], ["e", "q + 16", "q + 68"], ["q", "l + 10", "l + 78"], ["l", 10, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"l": 10}, "is_reverse": true}} | 7,114 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 3; w = l + 10; m = n + 20; c = e + 20; o = v + 1; e = q + 16; q = l + 10; n = c + 8; v = r + 15; j = m + 4; t = o + 2; l = 10; r = p + 6. If l = 10, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 20 to j, which gives j = n + 24.\n2. Substitute n = c + 8 to j, which gives j = c + 32.\n3. Substitute c = e + 20 to j, which gives j = e + 52.\n4. Substitute e = q + 16 to j, which gives j = q + 68.\n5. Substitute q = l + 10 to j, which gives j = l + 78.\n6. Substitute l = 10 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 7114,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 3; w = l + 10; m = n + 20; c = e + 20; o = v + 1; e = q + 16; q = l + 10; n = c + 8; v = r + 15; j = m + 4; t = o + 2; l = 10; r = p + 6. If l = 10, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 20", "s": "x + 11", "l": "s + 19", "k": "l + 13", "g": "k + 11", "q": "g + 7", "f": "t + 7", "a": "f + 17", "u": "a + 4", "d": "u + 13", "r": "d + 1", "o": "r + 15", "t": 8}, "premises": {"t": 8}, "target": "q"}, "answer": {"steps": [["g", "k + 11", "k + 18"], ["k", "l + 13", "l + 31"], ["l", "s + 19", "s + 50"], ["s", "x + 11", "x + 61"], ["x", "t + 20", "t + 81"], ["t", 8, "89"]], "target_var_name": "q", "target_value": 89, "value_dict": {"t": 8}, "is_reverse": true}} | 7,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 19; d = u + 13; f = t + 7; k = l + 13; a = f + 17; u = a + 4; x = t + 20; g = k + 11; t = 8; q = g + 7; s = x + 11; o = r + 15; r = d + 1. If t = 8, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 11 to q, which gives q = k + 18.\n2. Substitute k = l + 13 to q, which gives q = l + 31.\n3. Substitute l = s + 19 to q, which gives q = s + 50.\n4. Substitute s = x + 11 to q, which gives q = x + 61.\n5. Substitute x = t + 20 to q, which gives q = t + 81.\n6. Substitute t = 8 to q, which gives q = 89.\n\nThus, the final answer is q = \\boxed{89}.",
"index": 7115,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 19; d = u + 13; f = t + 7; k = l + 13; a = f + 17; u = a + 4; x = t + 20; g = k + 11; t = 8; q = g + 7; s = x + 11; o = r + 15; r = d + 1. If t = 8, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 19", "a": "m + 11", "q": "a + 11", "i": "q + 13", "o": "i + 1", "x": "o + 20", "h": "t + 13", "c": "h + 6", "d": "c + 7", "l": "d + 9", "f": "l + 1", "n": "f + 14", "t": 2}, "premises": {"t": 2}, "target": "x"}, "answer": {"steps": [["o", "i + 1", "i + 21"], ["i", "q + 13", "q + 34"], ["q", "a + 11", "a + 45"], ["a", "m + 11", "m + 56"], ["m", "t + 19", "t + 75"], ["t", 2, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"t": 2}, "is_reverse": true}} | 7,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 6; q = a + 11; n = f + 14; x = o + 20; o = i + 1; d = c + 7; i = q + 13; t = 2; a = m + 11; m = t + 19; l = d + 9; f = l + 1; h = t + 13. If t = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 1 to x, which gives x = i + 21.\n2. Substitute i = q + 13 to x, which gives x = q + 34.\n3. Substitute q = a + 11 to x, which gives x = a + 45.\n4. Substitute a = m + 11 to x, which gives x = m + 56.\n5. Substitute m = t + 19 to x, which gives x = t + 75.\n6. Substitute t = 2 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 7116,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 6; q = a + 11; n = f + 14; x = o + 20; o = i + 1; d = c + 7; i = q + 13; t = 2; a = m + 11; m = t + 19; l = d + 9; f = l + 1; h = t + 13. If t = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 6", "h": "i + 16", "s": "h + 18", "q": "s + 6", "c": "q + 10", "e": "c + 5", "a": "o + 15", "g": "a + 14", "v": "g + 13", "u": "v + 15", "x": "u + 3", "w": "x + 12", "o": 8}, "premises": {"o": 8}, "target": "e"}, "answer": {"steps": [["c", "q + 10", "q + 15"], ["q", "s + 6", "s + 21"], ["s", "h + 18", "h + 39"], ["h", "i + 16", "i + 55"], ["i", "o + 6", "o + 61"], ["o", 8, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"o": 8}, "is_reverse": true}} | 7,117 | 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 = o + 6; w = x + 12; q = s + 6; x = u + 3; a = o + 15; h = i + 16; o = 8; s = h + 18; g = a + 14; c = q + 10; e = c + 5; v = g + 13; u = v + 15. If o = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 10 to e, which gives e = q + 15.\n2. Substitute q = s + 6 to e, which gives e = s + 21.\n3. Substitute s = h + 18 to e, which gives e = h + 39.\n4. Substitute h = i + 16 to e, which gives e = i + 55.\n5. Substitute i = o + 6 to e, which gives e = o + 61.\n6. Substitute o = 8 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 7117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 6; w = x + 12; q = s + 6; x = u + 3; a = o + 15; h = i + 16; o = 8; s = h + 18; g = a + 14; c = q + 10; e = c + 5; v = g + 13; u = v + 15. If o = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 20", "d": "b + 10", "f": "d + 16", "u": "f + 9", "s": "u + 17", "c": "s + 16", "i": "o + 5", "z": "i + 8", "g": "z + 9", "l": "g + 8", "t": "l + 4", "x": "t + 13", "o": 20}, "premises": {"o": 20}, "target": "c"}, "answer": {"steps": [["s", "u + 17", "u + 33"], ["u", "f + 9", "f + 42"], ["f", "d + 16", "d + 58"], ["d", "b + 10", "b + 68"], ["b", "o + 20", "o + 88"], ["o", 20, "108"]], "target_var_name": "c", "target_value": 108, "value_dict": {"o": 20}, "is_reverse": true}} | 7,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 20; c = s + 16; d = b + 10; u = f + 9; s = u + 17; g = z + 9; x = t + 13; i = o + 5; t = l + 4; b = o + 20; z = i + 8; l = g + 8; f = d + 16. If o = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 17 to c, which gives c = u + 33.\n2. Substitute u = f + 9 to c, which gives c = f + 42.\n3. Substitute f = d + 16 to c, which gives c = d + 58.\n4. Substitute d = b + 10 to c, which gives c = b + 68.\n5. Substitute b = o + 20 to c, which gives c = o + 88.\n6. Substitute o = 20 to c, which gives c = 108.\n\nThus, the final answer is c = \\boxed{108}.",
"index": 7118,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 20; c = s + 16; d = b + 10; u = f + 9; s = u + 17; g = z + 9; x = t + 13; i = o + 5; t = l + 4; b = o + 20; z = i + 8; l = g + 8; f = d + 16. If o = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 3", "p": "g + 3", "i": "p + 9", "x": "i + 3", "m": "x + 13", "k": "m + 5", "t": "r + 5", "f": "t + 7", "w": "f + 7", "n": "w + 4", "s": "n + 3", "y": "s + 13", "r": 19}, "premises": {"r": 19}, "target": "k"}, "answer": {"steps": [["m", "x + 13", "x + 18"], ["x", "i + 3", "i + 21"], ["i", "p + 9", "p + 30"], ["p", "g + 3", "g + 33"], ["g", "r + 3", "r + 36"], ["r", 19, "55"]], "target_var_name": "k", "target_value": 55, "value_dict": {"r": 19}, "is_reverse": true}} | 7,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 3; f = t + 7; g = r + 3; n = w + 4; t = r + 5; w = f + 7; i = p + 9; r = 19; p = g + 3; y = s + 13; k = m + 5; m = x + 13; x = i + 3. If r = 19, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 13 to k, which gives k = x + 18.\n2. Substitute x = i + 3 to k, which gives k = i + 21.\n3. Substitute i = p + 9 to k, which gives k = p + 30.\n4. Substitute p = g + 3 to k, which gives k = g + 33.\n5. Substitute g = r + 3 to k, which gives k = r + 36.\n6. Substitute r = 19 to k, which gives k = 55.\n\nThus, the final answer is k = \\boxed{55}.",
"index": 7119,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 3; f = t + 7; g = r + 3; n = w + 4; t = r + 5; w = f + 7; i = p + 9; r = 19; p = g + 3; y = s + 13; k = m + 5; m = x + 13; x = i + 3. If r = 19, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 6", "h": "l + 6", "t": "h + 7", "m": "t + 2", "i": "m + 17", "j": "i + 10", "b": "y + 19", "u": "b + 5", "z": "u + 17", "e": "z + 5", "r": "e + 4", "x": "r + 9", "y": 8}, "premises": {"y": 8}, "target": "j"}, "answer": {"steps": [["i", "m + 17", "m + 27"], ["m", "t + 2", "t + 29"], ["t", "h + 7", "h + 36"], ["h", "l + 6", "l + 42"], ["l", "y + 6", "y + 48"], ["y", 8, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"y": 8}, "is_reverse": true}} | 7,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 5; y = 8; r = e + 4; x = r + 9; i = m + 17; z = u + 17; e = z + 5; j = i + 10; b = y + 19; h = l + 6; t = h + 7; l = y + 6; m = t + 2. If y = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 17 to j, which gives j = m + 27.\n2. Substitute m = t + 2 to j, which gives j = t + 29.\n3. Substitute t = h + 7 to j, which gives j = h + 36.\n4. Substitute h = l + 6 to j, which gives j = l + 42.\n5. Substitute l = y + 6 to j, which gives j = y + 48.\n6. Substitute y = 8 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 7120,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 5; y = 8; r = e + 4; x = r + 9; i = m + 17; z = u + 17; e = z + 5; j = i + 10; b = y + 19; h = l + 6; t = h + 7; l = y + 6; m = t + 2. If y = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 19", "u": "x + 2", "k": "u + 20", "m": "k + 9", "h": "m + 7", "s": "h + 8", "l": "z + 6", "r": "l + 8", "a": "r + 15", "c": "a + 20", "o": "c + 11", "t": "o + 9", "z": 9}, "premises": {"z": 9}, "target": "s"}, "answer": {"steps": [["h", "m + 7", "m + 15"], ["m", "k + 9", "k + 24"], ["k", "u + 20", "u + 44"], ["u", "x + 2", "x + 46"], ["x", "z + 19", "z + 65"], ["z", 9, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"z": 9}, "is_reverse": true}} | 7,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 9; o = c + 11; t = o + 9; h = m + 7; s = h + 8; k = u + 20; a = r + 15; x = z + 19; c = a + 20; z = 9; u = x + 2; l = z + 6; r = l + 8. If z = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 7 to s, which gives s = m + 15.\n2. Substitute m = k + 9 to s, which gives s = k + 24.\n3. Substitute k = u + 20 to s, which gives s = u + 44.\n4. Substitute u = x + 2 to s, which gives s = x + 46.\n5. Substitute x = z + 19 to s, which gives s = z + 65.\n6. Substitute z = 9 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 7121,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 9; o = c + 11; t = o + 9; h = m + 7; s = h + 8; k = u + 20; a = r + 15; x = z + 19; c = a + 20; z = 9; u = x + 2; l = z + 6; r = l + 8. If z = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 11", "v": "y + 20", "w": "v + 4", "i": "w + 17", "a": "i + 2", "b": "a + 11", "x": "q + 11", "h": "x + 11", "e": "h + 12", "r": "e + 15", "g": "r + 1", "c": "g + 7", "q": 10}, "premises": {"q": 10}, "target": "b"}, "answer": {"steps": [["a", "i + 2", "i + 13"], ["i", "w + 17", "w + 30"], ["w", "v + 4", "v + 34"], ["v", "y + 20", "y + 54"], ["y", "q + 11", "q + 65"], ["q", 10, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"q": 10}, "is_reverse": true}} | 7,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 15; w = v + 4; e = h + 12; v = y + 20; c = g + 7; a = i + 2; x = q + 11; b = a + 11; y = q + 11; q = 10; h = x + 11; g = r + 1; i = w + 17. If q = 10, 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 a = i + 2 to b, which gives b = i + 13.\n2. Substitute i = w + 17 to b, which gives b = w + 30.\n3. Substitute w = v + 4 to b, which gives b = v + 34.\n4. Substitute v = y + 20 to b, which gives b = y + 54.\n5. Substitute y = q + 11 to b, which gives b = q + 65.\n6. Substitute q = 10 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 7122,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 15; w = v + 4; e = h + 12; v = y + 20; c = g + 7; a = i + 2; x = q + 11; b = a + 11; y = q + 11; q = 10; h = x + 11; g = r + 1; i = w + 17. If q = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 14", "t": "y + 10", "q": "t + 19", "u": "q + 17", "p": "u + 19", "d": "p + 1", "g": "j + 3", "m": "g + 20", "r": "m + 18", "l": "r + 16", "b": "l + 3", "v": "b + 7", "j": 10}, "premises": {"j": 10}, "target": "d"}, "answer": {"steps": [["p", "u + 19", "u + 20"], ["u", "q + 17", "q + 37"], ["q", "t + 19", "t + 56"], ["t", "y + 10", "y + 66"], ["y", "j + 14", "j + 80"], ["j", 10, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"j": 10}, "is_reverse": true}} | 7,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 3; l = r + 16; q = t + 19; d = p + 1; j = 10; b = l + 3; p = u + 19; y = j + 14; v = b + 7; t = y + 10; r = m + 18; u = q + 17; m = g + 20. If j = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 19 to d, which gives d = u + 20.\n2. Substitute u = q + 17 to d, which gives d = q + 37.\n3. Substitute q = t + 19 to d, which gives d = t + 56.\n4. Substitute t = y + 10 to d, which gives d = y + 66.\n5. Substitute y = j + 14 to d, which gives d = j + 80.\n6. Substitute j = 10 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 7123,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 3; l = r + 16; q = t + 19; d = p + 1; j = 10; b = l + 3; p = u + 19; y = j + 14; v = b + 7; t = y + 10; r = m + 18; u = q + 17; m = g + 20. If j = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 8", "w": "g + 12", "s": "w + 5", "q": "s + 8", "a": "q + 16", "n": "a + 17", "l": "r + 2", "z": "l + 8", "m": "z + 17", "e": "m + 8", "h": "e + 4", "y": "h + 15", "r": 7}, "premises": {"r": 7}, "target": "n"}, "answer": {"steps": [["a", "q + 16", "q + 33"], ["q", "s + 8", "s + 41"], ["s", "w + 5", "w + 46"], ["w", "g + 12", "g + 58"], ["g", "r + 8", "r + 66"], ["r", 7, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"r": 7}, "is_reverse": true}} | 7,124 | 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 = q + 16; m = z + 17; g = r + 8; n = a + 17; q = s + 8; y = h + 15; r = 7; h = e + 4; l = r + 2; w = g + 12; e = m + 8; s = w + 5; z = l + 8. If r = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 16 to n, which gives n = q + 33.\n2. Substitute q = s + 8 to n, which gives n = s + 41.\n3. Substitute s = w + 5 to n, which gives n = w + 46.\n4. Substitute w = g + 12 to n, which gives n = g + 58.\n5. Substitute g = r + 8 to n, which gives n = r + 66.\n6. Substitute r = 7 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 7124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = q + 16; m = z + 17; g = r + 8; n = a + 17; q = s + 8; y = h + 15; r = 7; h = e + 4; l = r + 2; w = g + 12; e = m + 8; s = w + 5; z = l + 8. If r = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 17", "o": "l + 3", "x": "o + 16", "g": "x + 16", "m": "g + 11", "r": "m + 2", "a": "w + 15", "c": "a + 16", "i": "c + 1", "v": "i + 11", "d": "v + 14", "e": "d + 7", "w": 4}, "premises": {"w": 4}, "target": "r"}, "answer": {"steps": [["m", "g + 11", "g + 13"], ["g", "x + 16", "x + 29"], ["x", "o + 16", "o + 45"], ["o", "l + 3", "l + 48"], ["l", "w + 17", "w + 65"], ["w", 4, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"w": 4}, "is_reverse": true}} | 7,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 15; r = m + 2; e = d + 7; w = 4; v = i + 11; x = o + 16; c = a + 16; l = w + 17; i = c + 1; d = v + 14; o = l + 3; g = x + 16; m = g + 11. Given that w = 4, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 11 to r, which gives r = g + 13.\n2. Substitute g = x + 16 to r, which gives r = x + 29.\n3. Substitute x = o + 16 to r, which gives r = o + 45.\n4. Substitute o = l + 3 to r, which gives r = l + 48.\n5. Substitute l = w + 17 to r, which gives r = w + 65.\n6. Substitute w = 4 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 7125,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 15; r = m + 2; e = d + 7; w = 4; v = i + 11; x = o + 16; c = a + 16; l = w + 17; i = c + 1; d = v + 14; o = l + 3; g = x + 16; m = g + 11. Given that w = 4, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 8", "d": "p + 15", "r": "d + 8", "l": "r + 6", "q": "l + 7", "k": "q + 6", "v": "o + 6", "f": "v + 7", "c": "f + 14", "m": "c + 9", "t": "m + 4", "i": "t + 8", "o": 9}, "premises": {"o": 9}, "target": "k"}, "answer": {"steps": [["q", "l + 7", "l + 13"], ["l", "r + 6", "r + 19"], ["r", "d + 8", "d + 27"], ["d", "p + 15", "p + 42"], ["p", "o + 8", "o + 50"], ["o", 9, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"o": 9}, "is_reverse": true}} | 7,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 8; v = o + 6; t = m + 4; o = 9; m = c + 9; k = q + 6; d = p + 15; f = v + 7; r = d + 8; q = l + 7; i = t + 8; c = f + 14; l = r + 6. If o = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 7 to k, which gives k = l + 13.\n2. Substitute l = r + 6 to k, which gives k = r + 19.\n3. Substitute r = d + 8 to k, which gives k = d + 27.\n4. Substitute d = p + 15 to k, which gives k = p + 42.\n5. Substitute p = o + 8 to k, which gives k = o + 50.\n6. Substitute o = 9 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 7126,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 8; v = o + 6; t = m + 4; o = 9; m = c + 9; k = q + 6; d = p + 15; f = v + 7; r = d + 8; q = l + 7; i = t + 8; c = f + 14; l = r + 6. If o = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 8", "e": "d + 3", "l": "e + 5", "z": "l + 3", "m": "z + 9", "s": "m + 13", "w": "h + 18", "k": "w + 19", "i": "k + 19", "a": "i + 5", "c": "a + 5", "u": "c + 16", "h": 9}, "premises": {"h": 9}, "target": "s"}, "answer": {"steps": [["m", "z + 9", "z + 22"], ["z", "l + 3", "l + 25"], ["l", "e + 5", "e + 30"], ["e", "d + 3", "d + 33"], ["d", "h + 8", "h + 41"], ["h", 9, "50"]], "target_var_name": "s", "target_value": 50, "value_dict": {"h": 9}, "is_reverse": true}} | 7,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 3; h = 9; s = m + 13; i = k + 19; c = a + 5; m = z + 9; l = e + 5; z = l + 3; u = c + 16; d = h + 8; k = w + 19; w = h + 18; a = i + 5. If h = 9, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 9 to s, which gives s = z + 22.\n2. Substitute z = l + 3 to s, which gives s = l + 25.\n3. Substitute l = e + 5 to s, which gives s = e + 30.\n4. Substitute e = d + 3 to s, which gives s = d + 33.\n5. Substitute d = h + 8 to s, which gives s = h + 41.\n6. Substitute h = 9 to s, which gives s = 50.\n\nThus, the final answer is s = \\boxed{50}.",
"index": 7127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 3; h = 9; s = m + 13; i = k + 19; c = a + 5; m = z + 9; l = e + 5; z = l + 3; u = c + 16; d = h + 8; k = w + 19; w = h + 18; a = i + 5. If h = 9, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 16", "u": "i + 13", "y": "u + 1", "e": "y + 5", "l": "e + 19", "x": "l + 7", "b": "w + 11", "m": "b + 17", "t": "m + 20", "k": "t + 5", "v": "k + 6", "f": "v + 8", "w": 19}, "premises": {"w": 19}, "target": "x"}, "answer": {"steps": [["l", "e + 19", "e + 26"], ["e", "y + 5", "y + 31"], ["y", "u + 1", "u + 32"], ["u", "i + 13", "i + 45"], ["i", "w + 16", "w + 61"], ["w", 19, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"w": 19}, "is_reverse": true}} | 7,128 | 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 = y + 5; y = u + 1; l = e + 19; b = w + 11; t = m + 20; u = i + 13; i = w + 16; x = l + 7; v = k + 6; w = 19; f = v + 8; k = t + 5; m = b + 17. If w = 19, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 19 to x, which gives x = e + 26.\n2. Substitute e = y + 5 to x, which gives x = y + 31.\n3. Substitute y = u + 1 to x, which gives x = u + 32.\n4. Substitute u = i + 13 to x, which gives x = i + 45.\n5. Substitute i = w + 16 to x, which gives x = w + 61.\n6. Substitute w = 19 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 7128,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 5; y = u + 1; l = e + 19; b = w + 11; t = m + 20; u = i + 13; i = w + 16; x = l + 7; v = k + 6; w = 19; f = v + 8; k = t + 5; m = b + 17. If w = 19, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 8", "l": "y + 15", "w": "l + 2", "u": "w + 10", "z": "u + 17", "g": "z + 15", "e": "n + 9", "d": "e + 1", "i": "d + 9", "p": "i + 10", "m": "p + 17", "f": "m + 10", "n": 7}, "premises": {"n": 7}, "target": "g"}, "answer": {"steps": [["z", "u + 17", "u + 32"], ["u", "w + 10", "w + 42"], ["w", "l + 2", "l + 44"], ["l", "y + 15", "y + 59"], ["y", "n + 8", "n + 67"], ["n", 7, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"n": 7}, "is_reverse": true}} | 7,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 8; z = u + 17; e = n + 9; w = l + 2; n = 7; g = z + 15; i = d + 9; d = e + 1; m = p + 17; l = y + 15; f = m + 10; u = w + 10; p = i + 10. If n = 7, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 17 to g, which gives g = u + 32.\n2. Substitute u = w + 10 to g, which gives g = w + 42.\n3. Substitute w = l + 2 to g, which gives g = l + 44.\n4. Substitute l = y + 15 to g, which gives g = y + 59.\n5. Substitute y = n + 8 to g, which gives g = n + 67.\n6. Substitute n = 7 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 7129,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 8; z = u + 17; e = n + 9; w = l + 2; n = 7; g = z + 15; i = d + 9; d = e + 1; m = p + 17; l = y + 15; f = m + 10; u = w + 10; p = i + 10. If n = 7, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 1", "s": "m + 20", "l": "s + 16", "i": "l + 2", "q": "i + 8", "n": "q + 14", "c": "u + 2", "d": "c + 18", "k": "d + 10", "t": "k + 6", "x": "t + 15", "y": "x + 11", "u": 7}, "premises": {"u": 7}, "target": "n"}, "answer": {"steps": [["q", "i + 8", "i + 22"], ["i", "l + 2", "l + 24"], ["l", "s + 16", "s + 40"], ["s", "m + 20", "m + 60"], ["m", "u + 1", "u + 61"], ["u", 7, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"u": 7}, "is_reverse": true}} | 7,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = u + 2; n = q + 14; t = k + 6; k = d + 10; m = u + 1; d = c + 18; s = m + 20; l = s + 16; x = t + 15; y = x + 11; q = i + 8; u = 7; i = l + 2. Given that u = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 8 to n, which gives n = i + 22.\n2. Substitute i = l + 2 to n, which gives n = l + 24.\n3. Substitute l = s + 16 to n, which gives n = s + 40.\n4. Substitute s = m + 20 to n, which gives n = m + 60.\n5. Substitute m = u + 1 to n, which gives n = u + 61.\n6. Substitute u = 7 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 7130,
"question": "Suppose a collection of variables is related by the following definitions: c = u + 2; n = q + 14; t = k + 6; k = d + 10; m = u + 1; d = c + 18; s = m + 20; l = s + 16; x = t + 15; y = x + 11; q = i + 8; u = 7; i = l + 2. Given that u = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 16", "l": "g + 6", "e": "l + 16", "m": "e + 20", "q": "m + 14", "s": "q + 16", "w": "j + 16", "x": "w + 5", "p": "x + 10", "i": "p + 3", "z": "i + 12", "v": "z + 5", "j": 7}, "premises": {"j": 7}, "target": "s"}, "answer": {"steps": [["q", "m + 14", "m + 30"], ["m", "e + 20", "e + 50"], ["e", "l + 16", "l + 66"], ["l", "g + 6", "g + 72"], ["g", "j + 16", "j + 88"], ["j", 7, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"j": 7}, "is_reverse": true}} | 7,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 3; p = x + 10; g = j + 16; m = e + 20; e = l + 16; j = 7; w = j + 16; q = m + 14; x = w + 5; s = q + 16; l = g + 6; z = i + 12; v = z + 5. If j = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 14 to s, which gives s = m + 30.\n2. Substitute m = e + 20 to s, which gives s = e + 50.\n3. Substitute e = l + 16 to s, which gives s = l + 66.\n4. Substitute l = g + 6 to s, which gives s = g + 72.\n5. Substitute g = j + 16 to s, which gives s = j + 88.\n6. Substitute j = 7 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 7131,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 3; p = x + 10; g = j + 16; m = e + 20; e = l + 16; j = 7; w = j + 16; q = m + 14; x = w + 5; s = q + 16; l = g + 6; z = i + 12; v = z + 5. If j = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 20", "x": "o + 16", "t": "x + 9", "e": "t + 9", "i": "e + 10", "c": "i + 7", "g": "r + 3", "f": "g + 4", "b": "f + 19", "h": "b + 11", "q": "h + 10", "l": "q + 5", "r": 20}, "premises": {"r": 20}, "target": "c"}, "answer": {"steps": [["i", "e + 10", "e + 17"], ["e", "t + 9", "t + 26"], ["t", "x + 9", "x + 35"], ["x", "o + 16", "o + 51"], ["o", "r + 20", "r + 71"], ["r", 20, "91"]], "target_var_name": "c", "target_value": 91, "value_dict": {"r": 20}, "is_reverse": true}} | 7,132 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = o + 16; o = r + 20; l = q + 5; q = h + 10; e = t + 9; r = 20; b = f + 19; g = r + 3; f = g + 4; c = i + 7; h = b + 11; i = e + 10; t = x + 9. Given that r = 20, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 10 to c, which gives c = e + 17.\n2. Substitute e = t + 9 to c, which gives c = t + 26.\n3. Substitute t = x + 9 to c, which gives c = x + 35.\n4. Substitute x = o + 16 to c, which gives c = o + 51.\n5. Substitute o = r + 20 to c, which gives c = r + 71.\n6. Substitute r = 20 to c, which gives c = 91.\n\nThus, the final answer is c = \\boxed{91}.",
"index": 7132,
"question": "Suppose a collection of variables is related by the following definitions: x = o + 16; o = r + 20; l = q + 5; q = h + 10; e = t + 9; r = 20; b = f + 19; g = r + 3; f = g + 4; c = i + 7; h = b + 11; i = e + 10; t = x + 9. Given that r = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 17", "w": "q + 12", "f": "w + 6", "j": "f + 11", "r": "j + 4", "c": "r + 8", "z": "p + 12", "v": "z + 12", "y": "v + 12", "h": "y + 10", "x": "h + 3", "g": "x + 5", "p": 14}, "premises": {"p": 14}, "target": "c"}, "answer": {"steps": [["r", "j + 4", "j + 12"], ["j", "f + 11", "f + 23"], ["f", "w + 6", "w + 29"], ["w", "q + 12", "q + 41"], ["q", "p + 17", "p + 58"], ["p", 14, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"p": 14}, "is_reverse": true}} | 7,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 5; j = f + 11; p = 14; r = j + 4; h = y + 10; q = p + 17; y = v + 12; z = p + 12; v = z + 12; x = h + 3; f = w + 6; w = q + 12; c = r + 8. Given that p = 14, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 4 to c, which gives c = j + 12.\n2. Substitute j = f + 11 to c, which gives c = f + 23.\n3. Substitute f = w + 6 to c, which gives c = w + 29.\n4. Substitute w = q + 12 to c, which gives c = q + 41.\n5. Substitute q = p + 17 to c, which gives c = p + 58.\n6. Substitute p = 14 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 7133,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 5; j = f + 11; p = 14; r = j + 4; h = y + 10; q = p + 17; y = v + 12; z = p + 12; v = z + 12; x = h + 3; f = w + 6; w = q + 12; c = r + 8. Given that p = 14, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 18", "m": "f + 3", "q": "m + 20", "g": "q + 6", "d": "g + 16", "t": "d + 16", "r": "h + 9", "l": "r + 13", "e": "l + 7", "y": "e + 20", "s": "y + 19", "p": "s + 12", "h": 19}, "premises": {"h": 19}, "target": "t"}, "answer": {"steps": [["d", "g + 16", "g + 32"], ["g", "q + 6", "q + 38"], ["q", "m + 20", "m + 58"], ["m", "f + 3", "f + 61"], ["f", "h + 18", "h + 79"], ["h", 19, "98"]], "target_var_name": "t", "target_value": 98, "value_dict": {"h": 19}, "is_reverse": true}} | 7,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 19; y = e + 20; f = h + 18; q = m + 20; t = d + 16; l = r + 13; r = h + 9; p = s + 12; s = y + 19; e = l + 7; m = f + 3; g = q + 6; d = g + 16. If h = 19, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 16 to t, which gives t = g + 32.\n2. Substitute g = q + 6 to t, which gives t = q + 38.\n3. Substitute q = m + 20 to t, which gives t = m + 58.\n4. Substitute m = f + 3 to t, which gives t = f + 61.\n5. Substitute f = h + 18 to t, which gives t = h + 79.\n6. Substitute h = 19 to t, which gives t = 98.\n\nThus, the final answer is t = \\boxed{98}.",
"index": 7134,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 19; y = e + 20; f = h + 18; q = m + 20; t = d + 16; l = r + 13; r = h + 9; p = s + 12; s = y + 19; e = l + 7; m = f + 3; g = q + 6; d = g + 16. If h = 19, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 4", "l": "n + 17", "b": "l + 7", "g": "b + 15", "i": "g + 3", "m": "i + 7", "x": "j + 1", "e": "x + 8", "o": "e + 17", "h": "o + 18", "d": "h + 8", "k": "d + 3", "j": 15}, "premises": {"j": 15}, "target": "m"}, "answer": {"steps": [["i", "g + 3", "g + 10"], ["g", "b + 15", "b + 25"], ["b", "l + 7", "l + 32"], ["l", "n + 17", "n + 49"], ["n", "j + 4", "j + 53"], ["j", 15, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"j": 15}, "is_reverse": true}} | 7,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = b + 15; o = e + 17; d = h + 8; x = j + 1; i = g + 3; h = o + 18; m = i + 7; j = 15; b = l + 7; n = j + 4; e = x + 8; l = n + 17; k = d + 3. If j = 15, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 3 to m, which gives m = g + 10.\n2. Substitute g = b + 15 to m, which gives m = b + 25.\n3. Substitute b = l + 7 to m, which gives m = l + 32.\n4. Substitute l = n + 17 to m, which gives m = n + 49.\n5. Substitute n = j + 4 to m, which gives m = j + 53.\n6. Substitute j = 15 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 7135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = b + 15; o = e + 17; d = h + 8; x = j + 1; i = g + 3; h = o + 18; m = i + 7; j = 15; b = l + 7; n = j + 4; e = x + 8; l = n + 17; k = d + 3. If j = 15, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 12", "c": "l + 18", "o": "c + 9", "z": "o + 3", "a": "z + 14", "m": "a + 12", "j": "s + 4", "p": "j + 5", "n": "p + 1", "x": "n + 11", "h": "x + 7", "r": "h + 20", "s": 2}, "premises": {"s": 2}, "target": "m"}, "answer": {"steps": [["a", "z + 14", "z + 26"], ["z", "o + 3", "o + 29"], ["o", "c + 9", "c + 38"], ["c", "l + 18", "l + 56"], ["l", "s + 12", "s + 68"], ["s", 2, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"s": 2}, "is_reverse": true}} | 7,136 | 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 = o + 3; s = 2; j = s + 4; a = z + 14; r = h + 20; o = c + 9; m = a + 12; p = j + 5; h = x + 7; c = l + 18; l = s + 12; n = p + 1; x = n + 11. If s = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 14 to m, which gives m = z + 26.\n2. Substitute z = o + 3 to m, which gives m = o + 29.\n3. Substitute o = c + 9 to m, which gives m = c + 38.\n4. Substitute c = l + 18 to m, which gives m = l + 56.\n5. Substitute l = s + 12 to m, which gives m = s + 68.\n6. Substitute s = 2 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 7136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 3; s = 2; j = s + 4; a = z + 14; r = h + 20; o = c + 9; m = a + 12; p = j + 5; h = x + 7; c = l + 18; l = s + 12; n = p + 1; x = n + 11. If s = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 8", "z": "m + 4", "k": "z + 13", "n": "k + 5", "v": "n + 1", "p": "v + 12", "t": "y + 4", "u": "t + 18", "c": "u + 2", "b": "c + 16", "i": "b + 2", "w": "i + 4", "y": 4}, "premises": {"y": 4}, "target": "p"}, "answer": {"steps": [["v", "n + 1", "n + 13"], ["n", "k + 5", "k + 18"], ["k", "z + 13", "z + 31"], ["z", "m + 4", "m + 35"], ["m", "y + 8", "y + 43"], ["y", 4, "47"]], "target_var_name": "p", "target_value": 47, "value_dict": {"y": 4}, "is_reverse": true}} | 7,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 16; v = n + 1; n = k + 5; u = t + 18; c = u + 2; p = v + 12; k = z + 13; y = 4; t = y + 4; z = m + 4; i = b + 2; m = y + 8; w = i + 4. If y = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 1 to p, which gives p = n + 13.\n2. Substitute n = k + 5 to p, which gives p = k + 18.\n3. Substitute k = z + 13 to p, which gives p = z + 31.\n4. Substitute z = m + 4 to p, which gives p = m + 35.\n5. Substitute m = y + 8 to p, which gives p = y + 43.\n6. Substitute y = 4 to p, which gives p = 47.\n\nThus, the final answer is p = \\boxed{47}.",
"index": 7137,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 16; v = n + 1; n = k + 5; u = t + 18; c = u + 2; p = v + 12; k = z + 13; y = 4; t = y + 4; z = m + 4; i = b + 2; m = y + 8; w = i + 4. If y = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 18", "v": "g + 14", "q": "v + 5", "y": "q + 3", "s": "y + 17", "c": "s + 17", "x": "t + 6", "o": "x + 14", "i": "o + 12", "e": "i + 4", "r": "e + 16", "a": "r + 2", "t": 9}, "premises": {"t": 9}, "target": "c"}, "answer": {"steps": [["s", "y + 17", "y + 34"], ["y", "q + 3", "q + 37"], ["q", "v + 5", "v + 42"], ["v", "g + 14", "g + 56"], ["g", "t + 18", "t + 74"], ["t", 9, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"t": 9}, "is_reverse": true}} | 7,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 2; g = t + 18; e = i + 4; x = t + 6; t = 9; q = v + 5; o = x + 14; c = s + 17; r = e + 16; v = g + 14; y = q + 3; i = o + 12; s = y + 17. If t = 9, 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 s = y + 17 to c, which gives c = y + 34.\n2. Substitute y = q + 3 to c, which gives c = q + 37.\n3. Substitute q = v + 5 to c, which gives c = v + 42.\n4. Substitute v = g + 14 to c, which gives c = g + 56.\n5. Substitute g = t + 18 to c, which gives c = t + 74.\n6. Substitute t = 9 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 7138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 2; g = t + 18; e = i + 4; x = t + 6; t = 9; q = v + 5; o = x + 14; c = s + 17; r = e + 16; v = g + 14; y = q + 3; i = o + 12; s = y + 17. If t = 9, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 14", "a": "s + 19", "b": "a + 16", "o": "b + 18", "f": "o + 13", "i": "f + 2", "p": "c + 11", "l": "p + 5", "g": "l + 13", "v": "g + 18", "h": "v + 7", "e": "h + 20", "c": 2}, "premises": {"c": 2}, "target": "i"}, "answer": {"steps": [["f", "o + 13", "o + 15"], ["o", "b + 18", "b + 33"], ["b", "a + 16", "a + 49"], ["a", "s + 19", "s + 68"], ["s", "c + 14", "c + 82"], ["c", 2, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"c": 2}, "is_reverse": true}} | 7,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 14; p = c + 11; l = p + 5; v = g + 18; e = h + 20; c = 2; o = b + 18; b = a + 16; a = s + 19; i = f + 2; f = o + 13; h = v + 7; g = l + 13. If c = 2, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 13 to i, which gives i = o + 15.\n2. Substitute o = b + 18 to i, which gives i = b + 33.\n3. Substitute b = a + 16 to i, which gives i = a + 49.\n4. Substitute a = s + 19 to i, which gives i = s + 68.\n5. Substitute s = c + 14 to i, which gives i = c + 82.\n6. Substitute c = 2 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 7139,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 14; p = c + 11; l = p + 5; v = g + 18; e = h + 20; c = 2; o = b + 18; b = a + 16; a = s + 19; i = f + 2; f = o + 13; h = v + 7; g = l + 13. If c = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 6", "k": "f + 6", "q": "k + 15", "i": "q + 20", "a": "i + 2", "s": "a + 15", "m": "c + 17", "x": "m + 15", "v": "x + 10", "d": "v + 7", "n": "d + 4", "z": "n + 17", "c": 14}, "premises": {"c": 14}, "target": "s"}, "answer": {"steps": [["a", "i + 2", "i + 17"], ["i", "q + 20", "q + 37"], ["q", "k + 15", "k + 52"], ["k", "f + 6", "f + 58"], ["f", "c + 6", "c + 64"], ["c", 14, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"c": 14}, "is_reverse": true}} | 7,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 6; s = a + 15; v = x + 10; i = q + 20; n = d + 4; z = n + 17; k = f + 6; x = m + 15; a = i + 2; q = k + 15; c = 14; m = c + 17; d = v + 7. Given that c = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 2 to s, which gives s = i + 17.\n2. Substitute i = q + 20 to s, which gives s = q + 37.\n3. Substitute q = k + 15 to s, which gives s = k + 52.\n4. Substitute k = f + 6 to s, which gives s = f + 58.\n5. Substitute f = c + 6 to s, which gives s = c + 64.\n6. Substitute c = 14 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 7140,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 6; s = a + 15; v = x + 10; i = q + 20; n = d + 4; z = n + 17; k = f + 6; x = m + 15; a = i + 2; q = k + 15; c = 14; m = c + 17; d = v + 7. Given that c = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 6", "s": "f + 8", "d": "s + 3", "t": "d + 9", "w": "t + 6", "j": "w + 18", "g": "q + 17", "p": "g + 16", "r": "p + 4", "y": "r + 12", "z": "y + 4", "h": "z + 6", "q": 12}, "premises": {"q": 12}, "target": "j"}, "answer": {"steps": [["w", "t + 6", "t + 24"], ["t", "d + 9", "d + 33"], ["d", "s + 3", "s + 36"], ["s", "f + 8", "f + 44"], ["f", "q + 6", "q + 50"], ["q", 12, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"q": 12}, "is_reverse": true}} | 7,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 3; r = p + 4; q = 12; j = w + 18; w = t + 6; s = f + 8; p = g + 16; f = q + 6; g = q + 17; y = r + 12; h = z + 6; t = d + 9; z = y + 4. Given that q = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 6 to j, which gives j = t + 24.\n2. Substitute t = d + 9 to j, which gives j = d + 33.\n3. Substitute d = s + 3 to j, which gives j = s + 36.\n4. Substitute s = f + 8 to j, which gives j = f + 44.\n5. Substitute f = q + 6 to j, which gives j = q + 50.\n6. Substitute q = 12 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 7141,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 3; r = p + 4; q = 12; j = w + 18; w = t + 6; s = f + 8; p = g + 16; f = q + 6; g = q + 17; y = r + 12; h = z + 6; t = d + 9; z = y + 4. Given that q = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 16", "n": "c + 12", "w": "n + 8", "g": "w + 1", "o": "g + 9", "m": "o + 15", "h": "i + 15", "z": "h + 8", "q": "z + 10", "b": "q + 13", "y": "b + 5", "s": "y + 17", "i": 1}, "premises": {"i": 1}, "target": "m"}, "answer": {"steps": [["o", "g + 9", "g + 24"], ["g", "w + 1", "w + 25"], ["w", "n + 8", "n + 33"], ["n", "c + 12", "c + 45"], ["c", "i + 16", "i + 61"], ["i", 1, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"i": 1}, "is_reverse": true}} | 7,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 15; i = 1; w = n + 8; s = y + 17; n = c + 12; q = z + 10; y = b + 5; m = o + 15; c = i + 16; b = q + 13; g = w + 1; z = h + 8; o = g + 9. If i = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 9 to m, which gives m = g + 24.\n2. Substitute g = w + 1 to m, which gives m = w + 25.\n3. Substitute w = n + 8 to m, which gives m = n + 33.\n4. Substitute n = c + 12 to m, which gives m = c + 45.\n5. Substitute c = i + 16 to m, which gives m = i + 61.\n6. Substitute i = 1 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 7142,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 15; i = 1; w = n + 8; s = y + 17; n = c + 12; q = z + 10; y = b + 5; m = o + 15; c = i + 16; b = q + 13; g = w + 1; z = h + 8; o = g + 9. If i = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 9", "a": "x + 10", "f": "a + 15", "w": "f + 19", "l": "w + 16", "c": "l + 11", "g": "h + 3", "r": "g + 10", "b": "r + 2", "o": "b + 15", "q": "o + 3", "i": "q + 17", "h": 16}, "premises": {"h": 16}, "target": "c"}, "answer": {"steps": [["l", "w + 16", "w + 27"], ["w", "f + 19", "f + 46"], ["f", "a + 15", "a + 61"], ["a", "x + 10", "x + 71"], ["x", "h + 9", "h + 80"], ["h", 16, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"h": 16}, "is_reverse": true}} | 7,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = a + 15; c = l + 11; a = x + 10; g = h + 3; x = h + 9; b = r + 2; h = 16; i = q + 17; r = g + 10; w = f + 19; q = o + 3; l = w + 16; o = b + 15. Given that h = 16, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 16 to c, which gives c = w + 27.\n2. Substitute w = f + 19 to c, which gives c = f + 46.\n3. Substitute f = a + 15 to c, which gives c = a + 61.\n4. Substitute a = x + 10 to c, which gives c = x + 71.\n5. Substitute x = h + 9 to c, which gives c = h + 80.\n6. Substitute h = 16 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 7143,
"question": "Suppose a collection of variables is related by the following definitions: f = a + 15; c = l + 11; a = x + 10; g = h + 3; x = h + 9; b = r + 2; h = 16; i = q + 17; r = g + 10; w = f + 19; q = o + 3; l = w + 16; o = b + 15. Given that h = 16, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 4", "s": "j + 14", "g": "s + 13", "l": "g + 5", "d": "l + 8", "z": "d + 3", "t": "x + 18", "u": "t + 15", "h": "u + 14", "v": "h + 2", "w": "v + 6", "b": "w + 19", "x": 8}, "premises": {"x": 8}, "target": "z"}, "answer": {"steps": [["d", "l + 8", "l + 11"], ["l", "g + 5", "g + 16"], ["g", "s + 13", "s + 29"], ["s", "j + 14", "j + 43"], ["j", "x + 4", "x + 47"], ["x", 8, "55"]], "target_var_name": "z", "target_value": 55, "value_dict": {"x": 8}, "is_reverse": true}} | 7,144 | 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 = g + 5; w = v + 6; h = u + 14; b = w + 19; g = s + 13; z = d + 3; v = h + 2; s = j + 14; d = l + 8; j = x + 4; x = 8; u = t + 15; t = x + 18. If x = 8, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 8 to z, which gives z = l + 11.\n2. Substitute l = g + 5 to z, which gives z = g + 16.\n3. Substitute g = s + 13 to z, which gives z = s + 29.\n4. Substitute s = j + 14 to z, which gives z = j + 43.\n5. Substitute j = x + 4 to z, which gives z = x + 47.\n6. Substitute x = 8 to z, which gives z = 55.\n\nThus, the final answer is z = \\boxed{55}.",
"index": 7144,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 5; w = v + 6; h = u + 14; b = w + 19; g = s + 13; z = d + 3; v = h + 2; s = j + 14; d = l + 8; j = x + 4; x = 8; u = t + 15; t = x + 18. If x = 8, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 13", "n": "u + 11", "d": "n + 19", "j": "d + 11", "l": "j + 19", "p": "l + 4", "r": "o + 2", "k": "r + 1", "z": "k + 3", "s": "z + 16", "v": "s + 8", "f": "v + 9", "o": 15}, "premises": {"o": 15}, "target": "p"}, "answer": {"steps": [["l", "j + 19", "j + 23"], ["j", "d + 11", "d + 34"], ["d", "n + 19", "n + 53"], ["n", "u + 11", "u + 64"], ["u", "o + 13", "o + 77"], ["o", 15, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"o": 15}, "is_reverse": true}} | 7,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 9; j = d + 11; r = o + 2; d = n + 19; s = z + 16; z = k + 3; v = s + 8; k = r + 1; u = o + 13; o = 15; n = u + 11; p = l + 4; l = j + 19. If o = 15, what is the resulting 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 l = j + 19 to p, which gives p = j + 23.\n2. Substitute j = d + 11 to p, which gives p = d + 34.\n3. Substitute d = n + 19 to p, which gives p = n + 53.\n4. Substitute n = u + 11 to p, which gives p = u + 64.\n5. Substitute u = o + 13 to p, which gives p = o + 77.\n6. Substitute o = 15 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 7145,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 9; j = d + 11; r = o + 2; d = n + 19; s = z + 16; z = k + 3; v = s + 8; k = r + 1; u = o + 13; o = 15; n = u + 11; p = l + 4; l = j + 19. If o = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 16", "z": "o + 11", "c": "z + 18", "k": "c + 20", "a": "k + 12", "i": "a + 5", "h": "f + 6", "b": "h + 6", "v": "b + 7", "x": "v + 10", "u": "x + 19", "w": "u + 8", "f": 20}, "premises": {"f": 20}, "target": "i"}, "answer": {"steps": [["a", "k + 12", "k + 17"], ["k", "c + 20", "c + 37"], ["c", "z + 18", "z + 55"], ["z", "o + 11", "o + 66"], ["o", "f + 16", "f + 82"], ["f", 20, "102"]], "target_var_name": "i", "target_value": 102, "value_dict": {"f": 20}, "is_reverse": true}} | 7,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 16; v = b + 7; c = z + 18; z = o + 11; f = 20; i = a + 5; u = x + 19; k = c + 20; w = u + 8; x = v + 10; b = h + 6; h = f + 6; a = k + 12. If f = 20, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 12 to i, which gives i = k + 17.\n2. Substitute k = c + 20 to i, which gives i = c + 37.\n3. Substitute c = z + 18 to i, which gives i = z + 55.\n4. Substitute z = o + 11 to i, which gives i = o + 66.\n5. Substitute o = f + 16 to i, which gives i = f + 82.\n6. Substitute f = 20 to i, which gives i = 102.\n\nThus, the final answer is i = \\boxed{102}.",
"index": 7146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = f + 16; v = b + 7; c = z + 18; z = o + 11; f = 20; i = a + 5; u = x + 19; k = c + 20; w = u + 8; x = v + 10; b = h + 6; h = f + 6; a = k + 12. If f = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 15", "x": "t + 20", "c": "x + 14", "g": "c + 8", "b": "g + 8", "w": "b + 9", "n": "l + 2", "o": "n + 3", "e": "o + 8", "p": "e + 3", "f": "p + 16", "j": "f + 3", "l": 12}, "premises": {"l": 12}, "target": "w"}, "answer": {"steps": [["b", "g + 8", "g + 17"], ["g", "c + 8", "c + 25"], ["c", "x + 14", "x + 39"], ["x", "t + 20", "t + 59"], ["t", "l + 15", "l + 74"], ["l", 12, "86"]], "target_var_name": "w", "target_value": 86, "value_dict": {"l": 12}, "is_reverse": true}} | 7,147 | 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 = o + 8; j = f + 3; g = c + 8; x = t + 20; b = g + 8; o = n + 3; p = e + 3; c = x + 14; t = l + 15; f = p + 16; n = l + 2; w = b + 9; l = 12. If l = 12, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 8 to w, which gives w = g + 17.\n2. Substitute g = c + 8 to w, which gives w = c + 25.\n3. Substitute c = x + 14 to w, which gives w = x + 39.\n4. Substitute x = t + 20 to w, which gives w = t + 59.\n5. Substitute t = l + 15 to w, which gives w = l + 74.\n6. Substitute l = 12 to w, which gives w = 86.\n\nThus, the final answer is w = \\boxed{86}.",
"index": 7147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = o + 8; j = f + 3; g = c + 8; x = t + 20; b = g + 8; o = n + 3; p = e + 3; c = x + 14; t = l + 15; f = p + 16; n = l + 2; w = b + 9; l = 12. If l = 12, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 7", "h": "y + 12", "c": "h + 3", "n": "c + 6", "i": "n + 14", "k": "i + 17", "d": "a + 9", "o": "d + 17", "w": "o + 16", "u": "w + 5", "m": "u + 7", "t": "m + 16", "a": 3}, "premises": {"a": 3}, "target": "k"}, "answer": {"steps": [["i", "n + 14", "n + 31"], ["n", "c + 6", "c + 37"], ["c", "h + 3", "h + 40"], ["h", "y + 12", "y + 52"], ["y", "a + 7", "a + 59"], ["a", 3, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"a": 3}, "is_reverse": true}} | 7,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = a + 7; i = n + 14; o = d + 17; a = 3; k = i + 17; c = h + 3; d = a + 9; t = m + 16; h = y + 12; w = o + 16; n = c + 6; u = w + 5; m = u + 7. If a = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 14 to k, which gives k = n + 31.\n2. Substitute n = c + 6 to k, which gives k = c + 37.\n3. Substitute c = h + 3 to k, which gives k = h + 40.\n4. Substitute h = y + 12 to k, which gives k = y + 52.\n5. Substitute y = a + 7 to k, which gives k = a + 59.\n6. Substitute a = 3 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 7148,
"question": "Consider a system of variables where each variable is defined as follows: y = a + 7; i = n + 14; o = d + 17; a = 3; k = i + 17; c = h + 3; d = a + 9; t = m + 16; h = y + 12; w = o + 16; n = c + 6; u = w + 5; m = u + 7. If a = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 8", "l": "u + 6", "o": "l + 16", "w": "o + 15", "s": "w + 11", "t": "s + 14", "x": "z + 17", "k": "x + 15", "m": "k + 5", "p": "m + 10", "a": "p + 5", "b": "a + 4", "z": 11}, "premises": {"z": 11}, "target": "t"}, "answer": {"steps": [["s", "w + 11", "w + 25"], ["w", "o + 15", "o + 40"], ["o", "l + 16", "l + 56"], ["l", "u + 6", "u + 62"], ["u", "z + 8", "z + 70"], ["z", 11, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"z": 11}, "is_reverse": true}} | 7,149 | 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 = w + 11; t = s + 14; a = p + 5; o = l + 16; u = z + 8; z = 11; x = z + 17; b = a + 4; p = m + 10; m = k + 5; l = u + 6; k = x + 15; w = o + 15. If z = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 11 to t, which gives t = w + 25.\n2. Substitute w = o + 15 to t, which gives t = o + 40.\n3. Substitute o = l + 16 to t, which gives t = l + 56.\n4. Substitute l = u + 6 to t, which gives t = u + 62.\n5. Substitute u = z + 8 to t, which gives t = z + 70.\n6. Substitute z = 11 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 7149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 11; t = s + 14; a = p + 5; o = l + 16; u = z + 8; z = 11; x = z + 17; b = a + 4; p = m + 10; m = k + 5; l = u + 6; k = x + 15; w = o + 15. If z = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 7", "t": "d + 5", "s": "t + 12", "i": "s + 5", "p": "i + 13", "v": "p + 7", "e": "y + 19", "r": "e + 12", "o": "r + 10", "c": "o + 2", "u": "c + 3", "a": "u + 13", "y": 1}, "premises": {"y": 1}, "target": "v"}, "answer": {"steps": [["p", "i + 13", "i + 20"], ["i", "s + 5", "s + 25"], ["s", "t + 12", "t + 37"], ["t", "d + 5", "d + 42"], ["d", "y + 7", "y + 49"], ["y", 1, "50"]], "target_var_name": "v", "target_value": 50, "value_dict": {"y": 1}, "is_reverse": true}} | 7,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 1; d = y + 7; a = u + 13; s = t + 12; t = d + 5; p = i + 13; v = p + 7; o = r + 10; r = e + 12; u = c + 3; e = y + 19; i = s + 5; c = o + 2. If y = 1, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 13 to v, which gives v = i + 20.\n2. Substitute i = s + 5 to v, which gives v = s + 25.\n3. Substitute s = t + 12 to v, which gives v = t + 37.\n4. Substitute t = d + 5 to v, which gives v = d + 42.\n5. Substitute d = y + 7 to v, which gives v = y + 49.\n6. Substitute y = 1 to v, which gives v = 50.\n\nThus, the final answer is v = \\boxed{50}.",
"index": 7150,
"question": "Consider a system of variables where each variable is defined as follows: y = 1; d = y + 7; a = u + 13; s = t + 12; t = d + 5; p = i + 13; v = p + 7; o = r + 10; r = e + 12; u = c + 3; e = y + 19; i = s + 5; c = o + 2. If y = 1, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 12", "x": "c + 10", "f": "x + 3", "z": "f + 20", "p": "z + 20", "a": "p + 20", "r": "g + 8", "d": "r + 20", "u": "d + 15", "e": "u + 17", "l": "e + 15", "o": "l + 13", "g": 17}, "premises": {"g": 17}, "target": "a"}, "answer": {"steps": [["p", "z + 20", "z + 40"], ["z", "f + 20", "f + 60"], ["f", "x + 3", "x + 63"], ["x", "c + 10", "c + 73"], ["c", "g + 12", "g + 85"], ["g", 17, "102"]], "target_var_name": "a", "target_value": 102, "value_dict": {"g": 17}, "is_reverse": true}} | 7,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = 17; l = e + 15; c = g + 12; p = z + 20; u = d + 15; f = x + 3; a = p + 20; e = u + 17; x = c + 10; z = f + 20; d = r + 20; o = l + 13; r = g + 8. If g = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 20 to a, which gives a = z + 40.\n2. Substitute z = f + 20 to a, which gives a = f + 60.\n3. Substitute f = x + 3 to a, which gives a = x + 63.\n4. Substitute x = c + 10 to a, which gives a = c + 73.\n5. Substitute c = g + 12 to a, which gives a = g + 85.\n6. Substitute g = 17 to a, which gives a = 102.\n\nThus, the final answer is a = \\boxed{102}.",
"index": 7151,
"question": "Consider a system of variables where each variable is defined as follows: g = 17; l = e + 15; c = g + 12; p = z + 20; u = d + 15; f = x + 3; a = p + 20; e = u + 17; x = c + 10; z = f + 20; d = r + 20; o = l + 13; r = g + 8. If g = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 13", "s": "a + 18", "d": "s + 11", "v": "d + 13", "g": "v + 7", "x": "g + 5", "w": "p + 19", "m": "w + 15", "j": "m + 2", "c": "j + 12", "f": "c + 16", "b": "f + 7", "p": 1}, "premises": {"p": 1}, "target": "x"}, "answer": {"steps": [["g", "v + 7", "v + 12"], ["v", "d + 13", "d + 25"], ["d", "s + 11", "s + 36"], ["s", "a + 18", "a + 54"], ["a", "p + 13", "p + 67"], ["p", 1, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"p": 1}, "is_reverse": true}} | 7,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 5; d = s + 11; w = p + 19; c = j + 12; j = m + 2; p = 1; g = v + 7; b = f + 7; s = a + 18; a = p + 13; f = c + 16; v = d + 13; m = w + 15. Given that p = 1, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 7 to x, which gives x = v + 12.\n2. Substitute v = d + 13 to x, which gives x = d + 25.\n3. Substitute d = s + 11 to x, which gives x = s + 36.\n4. Substitute s = a + 18 to x, which gives x = a + 54.\n5. Substitute a = p + 13 to x, which gives x = p + 67.\n6. Substitute p = 1 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 7152,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 5; d = s + 11; w = p + 19; c = j + 12; j = m + 2; p = 1; g = v + 7; b = f + 7; s = a + 18; a = p + 13; f = c + 16; v = d + 13; m = w + 15. Given that p = 1, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 16", "g": "c + 6", "h": "g + 4", "j": "h + 16", "n": "j + 12", "i": "n + 8", "v": "q + 11", "s": "v + 11", "d": "s + 2", "r": "d + 20", "k": "r + 10", "w": "k + 7", "q": 8}, "premises": {"q": 8}, "target": "i"}, "answer": {"steps": [["n", "j + 12", "j + 20"], ["j", "h + 16", "h + 36"], ["h", "g + 4", "g + 40"], ["g", "c + 6", "c + 46"], ["c", "q + 16", "q + 62"], ["q", 8, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"q": 8}, "is_reverse": true}} | 7,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 20; v = q + 11; g = c + 6; j = h + 16; h = g + 4; i = n + 8; w = k + 7; s = v + 11; n = j + 12; c = q + 16; q = 8; k = r + 10; d = s + 2. Given that q = 8, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 12 to i, which gives i = j + 20.\n2. Substitute j = h + 16 to i, which gives i = h + 36.\n3. Substitute h = g + 4 to i, which gives i = g + 40.\n4. Substitute g = c + 6 to i, which gives i = c + 46.\n5. Substitute c = q + 16 to i, which gives i = q + 62.\n6. Substitute q = 8 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 7153,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 20; v = q + 11; g = c + 6; j = h + 16; h = g + 4; i = n + 8; w = k + 7; s = v + 11; n = j + 12; c = q + 16; q = 8; k = r + 10; d = s + 2. Given that q = 8, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 19", "x": "j + 17", "k": "x + 13", "a": "k + 15", "v": "a + 15", "c": "v + 9", "t": "p + 13", "y": "t + 13", "r": "y + 4", "i": "r + 10", "l": "i + 7", "m": "l + 3", "p": 12}, "premises": {"p": 12}, "target": "c"}, "answer": {"steps": [["v", "a + 15", "a + 24"], ["a", "k + 15", "k + 39"], ["k", "x + 13", "x + 52"], ["x", "j + 17", "j + 69"], ["j", "p + 19", "p + 88"], ["p", 12, "100"]], "target_var_name": "c", "target_value": 100, "value_dict": {"p": 12}, "is_reverse": true}} | 7,154 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 13; x = j + 17; r = y + 4; j = p + 19; p = 12; m = l + 3; v = a + 15; a = k + 15; l = i + 7; t = p + 13; y = t + 13; i = r + 10; c = v + 9. If p = 12, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 15 to c, which gives c = a + 24.\n2. Substitute a = k + 15 to c, which gives c = k + 39.\n3. Substitute k = x + 13 to c, which gives c = x + 52.\n4. Substitute x = j + 17 to c, which gives c = j + 69.\n5. Substitute j = p + 19 to c, which gives c = p + 88.\n6. Substitute p = 12 to c, which gives c = 100.\n\nThus, the final answer is c = \\boxed{100}.",
"index": 7154,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 13; x = j + 17; r = y + 4; j = p + 19; p = 12; m = l + 3; v = a + 15; a = k + 15; l = i + 7; t = p + 13; y = t + 13; i = r + 10; c = v + 9. If p = 12, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 5", "p": "l + 19", "x": "p + 3", "m": "x + 16", "t": "m + 3", "h": "t + 6", "o": "q + 7", "s": "o + 7", "r": "s + 17", "g": "r + 15", "e": "g + 1", "v": "e + 15", "q": 5}, "premises": {"q": 5}, "target": "h"}, "answer": {"steps": [["t", "m + 3", "m + 9"], ["m", "x + 16", "x + 25"], ["x", "p + 3", "p + 28"], ["p", "l + 19", "l + 47"], ["l", "q + 5", "q + 52"], ["q", 5, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"q": 5}, "is_reverse": true}} | 7,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 7; h = t + 6; q = 5; x = p + 3; t = m + 3; g = r + 15; v = e + 15; e = g + 1; r = s + 17; m = x + 16; p = l + 19; l = q + 5; s = o + 7. If q = 5, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 3 to h, which gives h = m + 9.\n2. Substitute m = x + 16 to h, which gives h = x + 25.\n3. Substitute x = p + 3 to h, which gives h = p + 28.\n4. Substitute p = l + 19 to h, which gives h = l + 47.\n5. Substitute l = q + 5 to h, which gives h = q + 52.\n6. Substitute q = 5 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 7155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 7; h = t + 6; q = 5; x = p + 3; t = m + 3; g = r + 15; v = e + 15; e = g + 1; r = s + 17; m = x + 16; p = l + 19; l = q + 5; s = o + 7. If q = 5, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 13", "q": "d + 13", "m": "q + 3", "x": "m + 8", "h": "x + 13", "r": "h + 12", "y": "t + 19", "b": "y + 17", "o": "b + 1", "a": "o + 4", "s": "a + 10", "e": "s + 10", "t": 16}, "premises": {"t": 16}, "target": "r"}, "answer": {"steps": [["h", "x + 13", "x + 25"], ["x", "m + 8", "m + 33"], ["m", "q + 3", "q + 36"], ["q", "d + 13", "d + 49"], ["d", "t + 13", "t + 62"], ["t", 16, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"t": 16}, "is_reverse": true}} | 7,156 | 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 = h + 12; s = a + 10; b = y + 17; e = s + 10; a = o + 4; x = m + 8; h = x + 13; q = d + 13; o = b + 1; t = 16; m = q + 3; d = t + 13; y = t + 19. If t = 16, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 13 to r, which gives r = x + 25.\n2. Substitute x = m + 8 to r, which gives r = m + 33.\n3. Substitute m = q + 3 to r, which gives r = q + 36.\n4. Substitute q = d + 13 to r, which gives r = d + 49.\n5. Substitute d = t + 13 to r, which gives r = t + 62.\n6. Substitute t = 16 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 7156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 12; s = a + 10; b = y + 17; e = s + 10; a = o + 4; x = m + 8; h = x + 13; q = d + 13; o = b + 1; t = 16; m = q + 3; d = t + 13; y = t + 19. If t = 16, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 17", "h": "a + 13", "v": "h + 18", "n": "v + 19", "j": "n + 8", "t": "j + 4", "w": "g + 3", "d": "w + 11", "k": "d + 20", "r": "k + 18", "f": "r + 13", "x": "f + 14", "g": 15}, "premises": {"g": 15}, "target": "t"}, "answer": {"steps": [["j", "n + 8", "n + 12"], ["n", "v + 19", "v + 31"], ["v", "h + 18", "h + 49"], ["h", "a + 13", "a + 62"], ["a", "g + 17", "g + 79"], ["g", 15, "94"]], "target_var_name": "t", "target_value": 94, "value_dict": {"g": 15}, "is_reverse": true}} | 7,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 3; d = w + 11; g = 15; n = v + 19; a = g + 17; f = r + 13; j = n + 8; h = a + 13; k = d + 20; v = h + 18; t = j + 4; x = f + 14; r = k + 18. If g = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 8 to t, which gives t = n + 12.\n2. Substitute n = v + 19 to t, which gives t = v + 31.\n3. Substitute v = h + 18 to t, which gives t = h + 49.\n4. Substitute h = a + 13 to t, which gives t = a + 62.\n5. Substitute a = g + 17 to t, which gives t = g + 79.\n6. Substitute g = 15 to t, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 7157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 3; d = w + 11; g = 15; n = v + 19; a = g + 17; f = r + 13; j = n + 8; h = a + 13; k = d + 20; v = h + 18; t = j + 4; x = f + 14; r = k + 18. If g = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 13", "a": "x + 4", "u": "a + 14", "i": "u + 17", "y": "i + 4", "c": "y + 16", "k": "b + 18", "m": "k + 8", "p": "m + 19", "f": "p + 13", "g": "f + 4", "r": "g + 13", "b": 20}, "premises": {"b": 20}, "target": "c"}, "answer": {"steps": [["y", "i + 4", "i + 20"], ["i", "u + 17", "u + 37"], ["u", "a + 14", "a + 51"], ["a", "x + 4", "x + 55"], ["x", "b + 13", "b + 68"], ["b", 20, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"b": 20}, "is_reverse": true}} | 7,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 4; g = f + 4; b = 20; i = u + 17; m = k + 8; f = p + 13; k = b + 18; c = y + 16; p = m + 19; u = a + 14; y = i + 4; x = b + 13; r = g + 13. Given that b = 20, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 4 to c, which gives c = i + 20.\n2. Substitute i = u + 17 to c, which gives c = u + 37.\n3. Substitute u = a + 14 to c, which gives c = a + 51.\n4. Substitute a = x + 4 to c, which gives c = x + 55.\n5. Substitute x = b + 13 to c, which gives c = b + 68.\n6. Substitute b = 20 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 7158,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 4; g = f + 4; b = 20; i = u + 17; m = k + 8; f = p + 13; k = b + 18; c = y + 16; p = m + 19; u = a + 14; y = i + 4; x = b + 13; r = g + 13. Given that b = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 18", "y": "z + 8", "c": "y + 3", "u": "c + 20", "h": "u + 1", "t": "h + 16", "q": "g + 16", "i": "q + 14", "n": "i + 15", "d": "n + 6", "o": "d + 18", "m": "o + 18", "g": 19}, "premises": {"g": 19}, "target": "t"}, "answer": {"steps": [["h", "u + 1", "u + 17"], ["u", "c + 20", "c + 37"], ["c", "y + 3", "y + 40"], ["y", "z + 8", "z + 48"], ["z", "g + 18", "g + 66"], ["g", 19, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"g": 19}, "is_reverse": true}} | 7,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 8; c = y + 3; z = g + 18; i = q + 14; t = h + 16; u = c + 20; d = n + 6; h = u + 1; g = 19; n = i + 15; o = d + 18; q = g + 16; m = o + 18. Given that g = 19, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 1 to t, which gives t = u + 17.\n2. Substitute u = c + 20 to t, which gives t = c + 37.\n3. Substitute c = y + 3 to t, which gives t = y + 40.\n4. Substitute y = z + 8 to t, which gives t = z + 48.\n5. Substitute z = g + 18 to t, which gives t = g + 66.\n6. Substitute g = 19 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 7159,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 8; c = y + 3; z = g + 18; i = q + 14; t = h + 16; u = c + 20; d = n + 6; h = u + 1; g = 19; n = i + 15; o = d + 18; q = g + 16; m = o + 18. Given that g = 19, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 16", "x": "g + 15", "f": "x + 16", "l": "f + 4", "o": "l + 15", "d": "o + 10", "s": "h + 9", "a": "s + 16", "i": "a + 17", "q": "i + 3", "v": "q + 16", "r": "v + 13", "h": 15}, "premises": {"h": 15}, "target": "d"}, "answer": {"steps": [["o", "l + 15", "l + 25"], ["l", "f + 4", "f + 29"], ["f", "x + 16", "x + 45"], ["x", "g + 15", "g + 60"], ["g", "h + 16", "h + 76"], ["h", 15, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"h": 15}, "is_reverse": true}} | 7,160 | 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 = h + 9; g = h + 16; d = o + 10; a = s + 16; h = 15; v = q + 16; r = v + 13; o = l + 15; x = g + 15; i = a + 17; f = x + 16; q = i + 3; l = f + 4. If h = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 15 to d, which gives d = l + 25.\n2. Substitute l = f + 4 to d, which gives d = f + 29.\n3. Substitute f = x + 16 to d, which gives d = x + 45.\n4. Substitute x = g + 15 to d, which gives d = g + 60.\n5. Substitute g = h + 16 to d, which gives d = h + 76.\n6. Substitute h = 15 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 7160,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 9; g = h + 16; d = o + 10; a = s + 16; h = 15; v = q + 16; r = v + 13; o = l + 15; x = g + 15; i = a + 17; f = x + 16; q = i + 3; l = f + 4. If h = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 17", "b": "s + 17", "p": "b + 15", "g": "p + 17", "n": "g + 9", "z": "n + 16", "a": "y + 9", "d": "a + 13", "m": "d + 17", "j": "m + 2", "k": "j + 19", "w": "k + 17", "y": 1}, "premises": {"y": 1}, "target": "z"}, "answer": {"steps": [["n", "g + 9", "g + 25"], ["g", "p + 17", "p + 42"], ["p", "b + 15", "b + 57"], ["b", "s + 17", "s + 74"], ["s", "y + 17", "y + 91"], ["y", 1, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"y": 1}, "is_reverse": true}} | 7,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 9; w = k + 17; g = p + 17; z = n + 16; p = b + 15; y = 1; k = j + 19; s = y + 17; a = y + 9; b = s + 17; j = m + 2; m = d + 17; d = a + 13. If y = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 9 to z, which gives z = g + 25.\n2. Substitute g = p + 17 to z, which gives z = p + 42.\n3. Substitute p = b + 15 to z, which gives z = b + 57.\n4. Substitute b = s + 17 to z, which gives z = s + 74.\n5. Substitute s = y + 17 to z, which gives z = y + 91.\n6. Substitute y = 1 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 7161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 9; w = k + 17; g = p + 17; z = n + 16; p = b + 15; y = 1; k = j + 19; s = y + 17; a = y + 9; b = s + 17; j = m + 2; m = d + 17; d = a + 13. If y = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 13", "e": "t + 15", "c": "e + 16", "z": "c + 13", "h": "z + 12", "r": "h + 20", "a": "o + 4", "y": "a + 16", "d": "y + 18", "i": "d + 12", "b": "i + 13", "l": "b + 20", "o": 20}, "premises": {"o": 20}, "target": "r"}, "answer": {"steps": [["h", "z + 12", "z + 32"], ["z", "c + 13", "c + 45"], ["c", "e + 16", "e + 61"], ["e", "t + 15", "t + 76"], ["t", "o + 13", "o + 89"], ["o", 20, "109"]], "target_var_name": "r", "target_value": 109, "value_dict": {"o": 20}, "is_reverse": true}} | 7,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 13; y = a + 16; a = o + 4; z = c + 13; i = d + 12; e = t + 15; t = o + 13; h = z + 12; d = y + 18; r = h + 20; c = e + 16; o = 20; l = b + 20. Given that o = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 12 to r, which gives r = z + 32.\n2. Substitute z = c + 13 to r, which gives r = c + 45.\n3. Substitute c = e + 16 to r, which gives r = e + 61.\n4. Substitute e = t + 15 to r, which gives r = t + 76.\n5. Substitute t = o + 13 to r, which gives r = o + 89.\n6. Substitute o = 20 to r, which gives r = 109.\n\nThus, the final answer is r = \\boxed{109}.",
"index": 7162,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 13; y = a + 16; a = o + 4; z = c + 13; i = d + 12; e = t + 15; t = o + 13; h = z + 12; d = y + 18; r = h + 20; c = e + 16; o = 20; l = b + 20. Given that o = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 3", "w": "o + 8", "m": "w + 11", "l": "m + 4", "c": "l + 11", "d": "c + 19", "i": "r + 4", "z": "i + 20", "f": "z + 13", "b": "f + 4", "u": "b + 8", "x": "u + 17", "r": 16}, "premises": {"r": 16}, "target": "d"}, "answer": {"steps": [["c", "l + 11", "l + 30"], ["l", "m + 4", "m + 34"], ["m", "w + 11", "w + 45"], ["w", "o + 8", "o + 53"], ["o", "r + 3", "r + 56"], ["r", 16, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"r": 16}, "is_reverse": true}} | 7,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 8; m = w + 11; i = r + 4; z = i + 20; d = c + 19; l = m + 4; w = o + 8; o = r + 3; b = f + 4; c = l + 11; r = 16; f = z + 13; x = u + 17. If r = 16, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 11 to d, which gives d = l + 30.\n2. Substitute l = m + 4 to d, which gives d = m + 34.\n3. Substitute m = w + 11 to d, which gives d = w + 45.\n4. Substitute w = o + 8 to d, which gives d = o + 53.\n5. Substitute o = r + 3 to d, which gives d = r + 56.\n6. Substitute r = 16 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 7163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 8; m = w + 11; i = r + 4; z = i + 20; d = c + 19; l = m + 4; w = o + 8; o = r + 3; b = f + 4; c = l + 11; r = 16; f = z + 13; x = u + 17. If r = 16, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 12", "v": "e + 8", "h": "v + 1", "w": "h + 9", "s": "w + 7", "k": "s + 19", "d": "f + 11", "p": "d + 11", "r": "p + 13", "t": "r + 9", "g": "t + 2", "m": "g + 1", "f": 17}, "premises": {"f": 17}, "target": "k"}, "answer": {"steps": [["s", "w + 7", "w + 26"], ["w", "h + 9", "h + 35"], ["h", "v + 1", "v + 36"], ["v", "e + 8", "e + 44"], ["e", "f + 12", "f + 56"], ["f", 17, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"f": 17}, "is_reverse": true}} | 7,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 8; t = r + 9; m = g + 1; h = v + 1; f = 17; d = f + 11; g = t + 2; e = f + 12; r = p + 13; p = d + 11; k = s + 19; w = h + 9; s = w + 7. If f = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 7 to k, which gives k = w + 26.\n2. Substitute w = h + 9 to k, which gives k = h + 35.\n3. Substitute h = v + 1 to k, which gives k = v + 36.\n4. Substitute v = e + 8 to k, which gives k = e + 44.\n5. Substitute e = f + 12 to k, which gives k = f + 56.\n6. Substitute f = 17 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 7164,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 8; t = r + 9; m = g + 1; h = v + 1; f = 17; d = f + 11; g = t + 2; e = f + 12; r = p + 13; p = d + 11; k = s + 19; w = h + 9; s = w + 7. If f = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 14", "m": "f + 2", "l": "m + 3", "b": "l + 13", "r": "b + 19", "o": "r + 2", "q": "n + 17", "c": "q + 15", "x": "c + 6", "y": "x + 4", "g": "y + 8", "k": "g + 2", "n": 17}, "premises": {"n": 17}, "target": "o"}, "answer": {"steps": [["r", "b + 19", "b + 21"], ["b", "l + 13", "l + 34"], ["l", "m + 3", "m + 37"], ["m", "f + 2", "f + 39"], ["f", "n + 14", "n + 53"], ["n", 17, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"n": 17}, "is_reverse": true}} | 7,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 2; q = n + 17; r = b + 19; x = c + 6; c = q + 15; b = l + 13; l = m + 3; y = x + 4; g = y + 8; m = f + 2; f = n + 14; k = g + 2; n = 17. If n = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 19 to o, which gives o = b + 21.\n2. Substitute b = l + 13 to o, which gives o = l + 34.\n3. Substitute l = m + 3 to o, which gives o = m + 37.\n4. Substitute m = f + 2 to o, which gives o = f + 39.\n5. Substitute f = n + 14 to o, which gives o = n + 53.\n6. Substitute n = 17 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 7165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 2; q = n + 17; r = b + 19; x = c + 6; c = q + 15; b = l + 13; l = m + 3; y = x + 4; g = y + 8; m = f + 2; f = n + 14; k = g + 2; n = 17. If n = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 9", "i": "k + 7", "m": "i + 5", "a": "m + 1", "w": "a + 5", "s": "w + 18", "y": "p + 4", "e": "y + 13", "l": "e + 13", "o": "l + 9", "j": "o + 4", "q": "j + 19", "p": 2}, "premises": {"p": 2}, "target": "s"}, "answer": {"steps": [["w", "a + 5", "a + 23"], ["a", "m + 1", "m + 24"], ["m", "i + 5", "i + 29"], ["i", "k + 7", "k + 36"], ["k", "p + 9", "p + 45"], ["p", 2, "47"]], "target_var_name": "s", "target_value": 47, "value_dict": {"p": 2}, "is_reverse": true}} | 7,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 2; k = p + 9; j = o + 4; e = y + 13; s = w + 18; y = p + 4; m = i + 5; l = e + 13; i = k + 7; q = j + 19; a = m + 1; o = l + 9; w = a + 5. Given that p = 2, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 5 to s, which gives s = a + 23.\n2. Substitute a = m + 1 to s, which gives s = m + 24.\n3. Substitute m = i + 5 to s, which gives s = i + 29.\n4. Substitute i = k + 7 to s, which gives s = k + 36.\n5. Substitute k = p + 9 to s, which gives s = p + 45.\n6. Substitute p = 2 to s, which gives s = 47.\n\nThus, the final answer is s = \\boxed{47}.",
"index": 7166,
"question": "Suppose a collection of variables is related by the following definitions: p = 2; k = p + 9; j = o + 4; e = y + 13; s = w + 18; y = p + 4; m = i + 5; l = e + 13; i = k + 7; q = j + 19; a = m + 1; o = l + 9; w = a + 5. Given that p = 2, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 2", "m": "n + 16", "h": "m + 18", "v": "h + 11", "s": "v + 18", "l": "s + 14", "x": "e + 1", "r": "x + 13", "t": "r + 14", "d": "t + 18", "k": "d + 3", "b": "k + 14", "e": 14}, "premises": {"e": 14}, "target": "l"}, "answer": {"steps": [["s", "v + 18", "v + 32"], ["v", "h + 11", "h + 43"], ["h", "m + 18", "m + 61"], ["m", "n + 16", "n + 77"], ["n", "e + 2", "e + 79"], ["e", 14, "93"]], "target_var_name": "l", "target_value": 93, "value_dict": {"e": 14}, "is_reverse": true}} | 7,167 | 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 = t + 18; r = x + 13; x = e + 1; m = n + 16; k = d + 3; t = r + 14; n = e + 2; b = k + 14; l = s + 14; s = v + 18; e = 14; v = h + 11; h = m + 18. If e = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 18 to l, which gives l = v + 32.\n2. Substitute v = h + 11 to l, which gives l = h + 43.\n3. Substitute h = m + 18 to l, which gives l = m + 61.\n4. Substitute m = n + 16 to l, which gives l = n + 77.\n5. Substitute n = e + 2 to l, which gives l = e + 79.\n6. Substitute e = 14 to l, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 7167,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 18; r = x + 13; x = e + 1; m = n + 16; k = d + 3; t = r + 14; n = e + 2; b = k + 14; l = s + 14; s = v + 18; e = 14; v = h + 11; h = m + 18. If e = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 20", "v": "p + 10", "z": "v + 14", "c": "z + 11", "u": "c + 2", "f": "u + 11", "q": "e + 12", "m": "q + 11", "k": "m + 7", "n": "k + 17", "d": "n + 2", "g": "d + 18", "e": 19}, "premises": {"e": 19}, "target": "f"}, "answer": {"steps": [["u", "c + 2", "c + 13"], ["c", "z + 11", "z + 24"], ["z", "v + 14", "v + 38"], ["v", "p + 10", "p + 48"], ["p", "e + 20", "e + 68"], ["e", 19, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"e": 19}, "is_reverse": true}} | 7,168 | 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 = v + 14; u = c + 2; n = k + 17; q = e + 12; d = n + 2; f = u + 11; g = d + 18; m = q + 11; e = 19; v = p + 10; p = e + 20; c = z + 11; k = m + 7. If e = 19, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 2 to f, which gives f = c + 13.\n2. Substitute c = z + 11 to f, which gives f = z + 24.\n3. Substitute z = v + 14 to f, which gives f = v + 38.\n4. Substitute v = p + 10 to f, which gives f = p + 48.\n5. Substitute p = e + 20 to f, which gives f = e + 68.\n6. Substitute e = 19 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 7168,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = v + 14; u = c + 2; n = k + 17; q = e + 12; d = n + 2; f = u + 11; g = d + 18; m = q + 11; e = 19; v = p + 10; p = e + 20; c = z + 11; k = m + 7. If e = 19, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 11", "l": "n + 15", "s": "l + 4", "b": "s + 13", "x": "b + 4", "i": "x + 1", "c": "z + 9", "f": "c + 18", "a": "f + 16", "m": "a + 2", "e": "m + 18", "p": "e + 14", "z": 19}, "premises": {"z": 19}, "target": "i"}, "answer": {"steps": [["x", "b + 4", "b + 5"], ["b", "s + 13", "s + 18"], ["s", "l + 4", "l + 22"], ["l", "n + 15", "n + 37"], ["n", "z + 11", "z + 48"], ["z", 19, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"z": 19}, "is_reverse": true}} | 7,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 4; n = z + 11; e = m + 18; b = s + 13; z = 19; l = n + 15; c = z + 9; f = c + 18; i = x + 1; a = f + 16; p = e + 14; m = a + 2; x = b + 4. If z = 19, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 4 to i, which gives i = b + 5.\n2. Substitute b = s + 13 to i, which gives i = s + 18.\n3. Substitute s = l + 4 to i, which gives i = l + 22.\n4. Substitute l = n + 15 to i, which gives i = n + 37.\n5. Substitute n = z + 11 to i, which gives i = z + 48.\n6. Substitute z = 19 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 7169,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 4; n = z + 11; e = m + 18; b = s + 13; z = 19; l = n + 15; c = z + 9; f = c + 18; i = x + 1; a = f + 16; p = e + 14; m = a + 2; x = b + 4. If z = 19, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 15", "j": "m + 19", "d": "j + 1", "z": "d + 15", "q": "z + 12", "t": "q + 15", "u": "e + 13", "y": "u + 20", "h": "y + 1", "i": "h + 16", "s": "i + 6", "c": "s + 9", "e": 20}, "premises": {"e": 20}, "target": "t"}, "answer": {"steps": [["q", "z + 12", "z + 27"], ["z", "d + 15", "d + 42"], ["d", "j + 1", "j + 43"], ["j", "m + 19", "m + 62"], ["m", "e + 15", "e + 77"], ["e", 20, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"e": 20}, "is_reverse": true}} | 7,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = i + 6; t = q + 15; d = j + 1; y = u + 20; h = y + 1; c = s + 9; j = m + 19; z = d + 15; q = z + 12; i = h + 16; m = e + 15; e = 20; u = e + 13. If e = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 12 to t, which gives t = z + 27.\n2. Substitute z = d + 15 to t, which gives t = d + 42.\n3. Substitute d = j + 1 to t, which gives t = j + 43.\n4. Substitute j = m + 19 to t, which gives t = m + 62.\n5. Substitute m = e + 15 to t, which gives t = e + 77.\n6. Substitute e = 20 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 7170,
"question": "Consider a system of variables where each variable is defined as follows: s = i + 6; t = q + 15; d = j + 1; y = u + 20; h = y + 1; c = s + 9; j = m + 19; z = d + 15; q = z + 12; i = h + 16; m = e + 15; e = 20; u = e + 13. If e = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 3", "t": "j + 20", "c": "t + 15", "e": "c + 14", "r": "e + 5", "y": "r + 13", "o": "l + 20", "a": "o + 15", "w": "a + 7", "f": "w + 12", "k": "f + 15", "d": "k + 17", "l": 10}, "premises": {"l": 10}, "target": "y"}, "answer": {"steps": [["r", "e + 5", "e + 18"], ["e", "c + 14", "c + 32"], ["c", "t + 15", "t + 47"], ["t", "j + 20", "j + 67"], ["j", "l + 3", "l + 70"], ["l", 10, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"l": 10}, "is_reverse": true}} | 7,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 13; j = l + 3; t = j + 20; c = t + 15; w = a + 7; l = 10; o = l + 20; d = k + 17; k = f + 15; r = e + 5; f = w + 12; a = o + 15; e = c + 14. Given that l = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 5 to y, which gives y = e + 18.\n2. Substitute e = c + 14 to y, which gives y = c + 32.\n3. Substitute c = t + 15 to y, which gives y = t + 47.\n4. Substitute t = j + 20 to y, which gives y = j + 67.\n5. Substitute j = l + 3 to y, which gives y = l + 70.\n6. Substitute l = 10 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 7171,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 13; j = l + 3; t = j + 20; c = t + 15; w = a + 7; l = 10; o = l + 20; d = k + 17; k = f + 15; r = e + 5; f = w + 12; a = o + 15; e = c + 14. Given that l = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 12", "r": "m + 1", "p": "r + 18", "s": "p + 12", "n": "s + 3", "i": "n + 9", "h": "c + 19", "v": "h + 20", "y": "v + 9", "b": "y + 5", "l": "b + 16", "w": "l + 8", "c": 10}, "premises": {"c": 10}, "target": "i"}, "answer": {"steps": [["n", "s + 3", "s + 12"], ["s", "p + 12", "p + 24"], ["p", "r + 18", "r + 42"], ["r", "m + 1", "m + 43"], ["m", "c + 12", "c + 55"], ["c", 10, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"c": 10}, "is_reverse": true}} | 7,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 19; v = h + 20; y = v + 9; l = b + 16; s = p + 12; p = r + 18; m = c + 12; i = n + 9; n = s + 3; b = y + 5; c = 10; r = m + 1; w = l + 8. If c = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 3 to i, which gives i = s + 12.\n2. Substitute s = p + 12 to i, which gives i = p + 24.\n3. Substitute p = r + 18 to i, which gives i = r + 42.\n4. Substitute r = m + 1 to i, which gives i = m + 43.\n5. Substitute m = c + 12 to i, which gives i = c + 55.\n6. Substitute c = 10 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 7172,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 19; v = h + 20; y = v + 9; l = b + 16; s = p + 12; p = r + 18; m = c + 12; i = n + 9; n = s + 3; b = y + 5; c = 10; r = m + 1; w = l + 8. If c = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 18", "g": "p + 11", "w": "g + 2", "l": "w + 4", "n": "l + 16", "t": "n + 12", "m": "y + 17", "k": "m + 13", "i": "k + 12", "a": "i + 13", "j": "a + 12", "h": "j + 17", "y": 4}, "premises": {"y": 4}, "target": "t"}, "answer": {"steps": [["n", "l + 16", "l + 28"], ["l", "w + 4", "w + 32"], ["w", "g + 2", "g + 34"], ["g", "p + 11", "p + 45"], ["p", "y + 18", "y + 63"], ["y", 4, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"y": 4}, "is_reverse": true}} | 7,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 4; h = j + 17; t = n + 12; k = m + 13; a = i + 13; n = l + 16; g = p + 11; m = y + 17; w = g + 2; i = k + 12; j = a + 12; l = w + 4; p = y + 18. Given that y = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 16 to t, which gives t = l + 28.\n2. Substitute l = w + 4 to t, which gives t = w + 32.\n3. Substitute w = g + 2 to t, which gives t = g + 34.\n4. Substitute g = p + 11 to t, which gives t = p + 45.\n5. Substitute p = y + 18 to t, which gives t = y + 63.\n6. Substitute y = 4 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 7173,
"question": "Suppose a collection of variables is related by the following definitions: y = 4; h = j + 17; t = n + 12; k = m + 13; a = i + 13; n = l + 16; g = p + 11; m = y + 17; w = g + 2; i = k + 12; j = a + 12; l = w + 4; p = y + 18. Given that y = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 12", "i": "h + 7", "y": "i + 20", "p": "y + 8", "a": "p + 12", "v": "a + 3", "x": "u + 16", "w": "x + 4", "m": "w + 2", "b": "m + 15", "d": "b + 14", "q": "d + 20", "u": 11}, "premises": {"u": 11}, "target": "v"}, "answer": {"steps": [["a", "p + 12", "p + 15"], ["p", "y + 8", "y + 23"], ["y", "i + 20", "i + 43"], ["i", "h + 7", "h + 50"], ["h", "u + 12", "u + 62"], ["u", 11, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"u": 11}, "is_reverse": true}} | 7,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 12; w = x + 4; m = w + 2; d = b + 14; h = u + 12; y = i + 20; v = a + 3; x = u + 16; p = y + 8; q = d + 20; i = h + 7; u = 11; b = m + 15. Given that u = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 12 to v, which gives v = p + 15.\n2. Substitute p = y + 8 to v, which gives v = y + 23.\n3. Substitute y = i + 20 to v, which gives v = i + 43.\n4. Substitute i = h + 7 to v, which gives v = h + 50.\n5. Substitute h = u + 12 to v, which gives v = u + 62.\n6. Substitute u = 11 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 7174,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 12; w = x + 4; m = w + 2; d = b + 14; h = u + 12; y = i + 20; v = a + 3; x = u + 16; p = y + 8; q = d + 20; i = h + 7; u = 11; b = m + 15. Given that u = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 3", "w": "e + 17", "t": "w + 17", "o": "t + 7", "h": "o + 12", "l": "h + 17", "u": "s + 11", "d": "u + 5", "v": "d + 1", "m": "v + 2", "j": "m + 18", "c": "j + 20", "s": 13}, "premises": {"s": 13}, "target": "l"}, "answer": {"steps": [["h", "o + 12", "o + 29"], ["o", "t + 7", "t + 36"], ["t", "w + 17", "w + 53"], ["w", "e + 17", "e + 70"], ["e", "s + 3", "s + 73"], ["s", 13, "86"]], "target_var_name": "l", "target_value": 86, "value_dict": {"s": 13}, "is_reverse": true}} | 7,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 1; m = v + 2; l = h + 17; w = e + 17; u = s + 11; t = w + 17; s = 13; h = o + 12; e = s + 3; o = t + 7; j = m + 18; d = u + 5; c = j + 20. If s = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 12 to l, which gives l = o + 29.\n2. Substitute o = t + 7 to l, which gives l = t + 36.\n3. Substitute t = w + 17 to l, which gives l = w + 53.\n4. Substitute w = e + 17 to l, which gives l = e + 70.\n5. Substitute e = s + 3 to l, which gives l = s + 73.\n6. Substitute s = 13 to l, which gives l = 86.\n\nThus, the final answer is l = \\boxed{86}.",
"index": 7175,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 1; m = v + 2; l = h + 17; w = e + 17; u = s + 11; t = w + 17; s = 13; h = o + 12; e = s + 3; o = t + 7; j = m + 18; d = u + 5; c = j + 20. If s = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 8", "m": "a + 3", "z": "m + 12", "s": "z + 14", "k": "s + 8", "w": "k + 5", "p": "y + 9", "h": "p + 1", "d": "h + 2", "b": "d + 10", "u": "b + 3", "r": "u + 9", "y": 20}, "premises": {"y": 20}, "target": "w"}, "answer": {"steps": [["k", "s + 8", "s + 13"], ["s", "z + 14", "z + 27"], ["z", "m + 12", "m + 39"], ["m", "a + 3", "a + 42"], ["a", "y + 8", "y + 50"], ["y", 20, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"y": 20}, "is_reverse": true}} | 7,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 5; d = h + 2; k = s + 8; b = d + 10; y = 20; m = a + 3; r = u + 9; z = m + 12; u = b + 3; a = y + 8; p = y + 9; h = p + 1; s = z + 14. If y = 20, determine 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 k = s + 8 to w, which gives w = s + 13.\n2. Substitute s = z + 14 to w, which gives w = z + 27.\n3. Substitute z = m + 12 to w, which gives w = m + 39.\n4. Substitute m = a + 3 to w, which gives w = a + 42.\n5. Substitute a = y + 8 to w, which gives w = y + 50.\n6. Substitute y = 20 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 7176,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 5; d = h + 2; k = s + 8; b = d + 10; y = 20; m = a + 3; r = u + 9; z = m + 12; u = b + 3; a = y + 8; p = y + 9; h = p + 1; s = z + 14. If y = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 19", "p": "d + 6", "x": "p + 7", "h": "x + 8", "e": "h + 7", "y": "e + 12", "k": "t + 5", "g": "k + 3", "u": "g + 12", "c": "u + 4", "o": "c + 2", "r": "o + 17", "t": 14}, "premises": {"t": 14}, "target": "y"}, "answer": {"steps": [["e", "h + 7", "h + 19"], ["h", "x + 8", "x + 27"], ["x", "p + 7", "p + 34"], ["p", "d + 6", "d + 40"], ["d", "t + 19", "t + 59"], ["t", 14, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"t": 14}, "is_reverse": true}} | 7,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 14; c = u + 4; x = p + 7; d = t + 19; g = k + 3; r = o + 17; p = d + 6; u = g + 12; h = x + 8; e = h + 7; k = t + 5; y = e + 12; o = c + 2. If t = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 7 to y, which gives y = h + 19.\n2. Substitute h = x + 8 to y, which gives y = x + 27.\n3. Substitute x = p + 7 to y, which gives y = p + 34.\n4. Substitute p = d + 6 to y, which gives y = d + 40.\n5. Substitute d = t + 19 to y, which gives y = t + 59.\n6. Substitute t = 14 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 7177,
"question": "Consider a system of variables where each variable is defined as follows: t = 14; c = u + 4; x = p + 7; d = t + 19; g = k + 3; r = o + 17; p = d + 6; u = g + 12; h = x + 8; e = h + 7; k = t + 5; y = e + 12; o = c + 2. If t = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 2", "p": "c + 1", "m": "p + 19", "b": "m + 9", "l": "b + 5", "o": "l + 20", "y": "e + 7", "j": "y + 17", "g": "j + 11", "k": "g + 5", "h": "k + 2", "r": "h + 11", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["l", "b + 5", "b + 25"], ["b", "m + 9", "m + 34"], ["m", "p + 19", "p + 53"], ["p", "c + 1", "c + 54"], ["c", "e + 2", "e + 56"], ["e", 3, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"e": 3}, "is_reverse": true}} | 7,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 11; k = g + 5; e = 3; b = m + 9; l = b + 5; j = y + 17; r = h + 11; c = e + 2; m = p + 19; y = e + 7; p = c + 1; o = l + 20; h = k + 2. Given that e = 3, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 5 to o, which gives o = b + 25.\n2. Substitute b = m + 9 to o, which gives o = m + 34.\n3. Substitute m = p + 19 to o, which gives o = p + 53.\n4. Substitute p = c + 1 to o, which gives o = c + 54.\n5. Substitute c = e + 2 to o, which gives o = e + 56.\n6. Substitute e = 3 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 7178,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 11; k = g + 5; e = 3; b = m + 9; l = b + 5; j = y + 17; r = h + 11; c = e + 2; m = p + 19; y = e + 7; p = c + 1; o = l + 20; h = k + 2. Given that e = 3, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 18", "h": "k + 7", "l": "h + 13", "d": "l + 20", "j": "d + 10", "r": "j + 2", "b": "c + 18", "o": "b + 5", "s": "o + 17", "y": "s + 13", "t": "y + 11", "x": "t + 3", "c": 12}, "premises": {"c": 12}, "target": "r"}, "answer": {"steps": [["j", "d + 10", "d + 12"], ["d", "l + 20", "l + 32"], ["l", "h + 13", "h + 45"], ["h", "k + 7", "k + 52"], ["k", "c + 18", "c + 70"], ["c", 12, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"c": 12}, "is_reverse": true}} | 7,179 | 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 + 18; k = c + 18; d = l + 20; j = d + 10; t = y + 11; r = j + 2; y = s + 13; h = k + 7; l = h + 13; o = b + 5; x = t + 3; c = 12; s = o + 17. If c = 12, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 10 to r, which gives r = d + 12.\n2. Substitute d = l + 20 to r, which gives r = l + 32.\n3. Substitute l = h + 13 to r, which gives r = h + 45.\n4. Substitute h = k + 7 to r, which gives r = k + 52.\n5. Substitute k = c + 18 to r, which gives r = c + 70.\n6. Substitute c = 12 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 7179,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 18; k = c + 18; d = l + 20; j = d + 10; t = y + 11; r = j + 2; y = s + 13; h = k + 7; l = h + 13; o = b + 5; x = t + 3; c = 12; s = o + 17. If c = 12, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 10", "q": "e + 20", "h": "q + 14", "d": "h + 19", "y": "d + 4", "a": "y + 19", "p": "w + 18", "o": "p + 20", "x": "o + 20", "m": "x + 7", "i": "m + 3", "k": "i + 11", "w": 10}, "premises": {"w": 10}, "target": "a"}, "answer": {"steps": [["y", "d + 4", "d + 23"], ["d", "h + 19", "h + 42"], ["h", "q + 14", "q + 56"], ["q", "e + 20", "e + 76"], ["e", "w + 10", "w + 86"], ["w", 10, "96"]], "target_var_name": "a", "target_value": 96, "value_dict": {"w": 10}, "is_reverse": true}} | 7,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 3; h = q + 14; p = w + 18; e = w + 10; k = i + 11; m = x + 7; y = d + 4; a = y + 19; q = e + 20; x = o + 20; d = h + 19; w = 10; o = p + 20. Given that w = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 4 to a, which gives a = d + 23.\n2. Substitute d = h + 19 to a, which gives a = h + 42.\n3. Substitute h = q + 14 to a, which gives a = q + 56.\n4. Substitute q = e + 20 to a, which gives a = e + 76.\n5. Substitute e = w + 10 to a, which gives a = w + 86.\n6. Substitute w = 10 to a, which gives a = 96.\n\nThus, the final answer is a = \\boxed{96}.",
"index": 7180,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 3; h = q + 14; p = w + 18; e = w + 10; k = i + 11; m = x + 7; y = d + 4; a = y + 19; q = e + 20; x = o + 20; d = h + 19; w = 10; o = p + 20. Given that w = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 1", "k": "s + 4", "g": "k + 5", "v": "g + 20", "x": "v + 3", "y": "x + 5", "p": "r + 14", "c": "p + 7", "w": "c + 17", "z": "w + 9", "i": "z + 5", "m": "i + 7", "r": 11}, "premises": {"r": 11}, "target": "y"}, "answer": {"steps": [["x", "v + 3", "v + 8"], ["v", "g + 20", "g + 28"], ["g", "k + 5", "k + 33"], ["k", "s + 4", "s + 37"], ["s", "r + 1", "r + 38"], ["r", 11, "49"]], "target_var_name": "y", "target_value": 49, "value_dict": {"r": 11}, "is_reverse": true}} | 7,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 17; y = x + 5; r = 11; v = g + 20; k = s + 4; i = z + 5; s = r + 1; z = w + 9; g = k + 5; p = r + 14; m = i + 7; x = v + 3; c = p + 7. Given that r = 11, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 3 to y, which gives y = v + 8.\n2. Substitute v = g + 20 to y, which gives y = g + 28.\n3. Substitute g = k + 5 to y, which gives y = k + 33.\n4. Substitute k = s + 4 to y, which gives y = s + 37.\n5. Substitute s = r + 1 to y, which gives y = r + 38.\n6. Substitute r = 11 to y, which gives y = 49.\n\nThus, the final answer is y = \\boxed{49}.",
"index": 7181,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 17; y = x + 5; r = 11; v = g + 20; k = s + 4; i = z + 5; s = r + 1; z = w + 9; g = k + 5; p = r + 14; m = i + 7; x = v + 3; c = p + 7. Given that r = 11, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 12", "p": "v + 20", "i": "p + 6", "j": "i + 18", "h": "j + 6", "t": "h + 15", "e": "f + 5", "x": "e + 3", "q": "x + 7", "l": "q + 11", "g": "l + 14", "c": "g + 12", "f": 8}, "premises": {"f": 8}, "target": "t"}, "answer": {"steps": [["h", "j + 6", "j + 21"], ["j", "i + 18", "i + 39"], ["i", "p + 6", "p + 45"], ["p", "v + 20", "v + 65"], ["v", "f + 12", "f + 77"], ["f", 8, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"f": 8}, "is_reverse": true}} | 7,182 | 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 = h + 15; l = q + 11; q = x + 7; j = i + 18; f = 8; c = g + 12; h = j + 6; v = f + 12; p = v + 20; i = p + 6; x = e + 3; e = f + 5; g = l + 14. If f = 8, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 6 to t, which gives t = j + 21.\n2. Substitute j = i + 18 to t, which gives t = i + 39.\n3. Substitute i = p + 6 to t, which gives t = p + 45.\n4. Substitute p = v + 20 to t, which gives t = v + 65.\n5. Substitute v = f + 12 to t, which gives t = f + 77.\n6. Substitute f = 8 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 7182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 15; l = q + 11; q = x + 7; j = i + 18; f = 8; c = g + 12; h = j + 6; v = f + 12; p = v + 20; i = p + 6; x = e + 3; e = f + 5; g = l + 14. If f = 8, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 14", "k": "s + 19", "w": "k + 16", "u": "w + 20", "m": "u + 20", "e": "m + 9", "g": "z + 8", "f": "g + 13", "j": "f + 10", "b": "j + 19", "o": "b + 6", "l": "o + 4", "z": 8}, "premises": {"z": 8}, "target": "e"}, "answer": {"steps": [["m", "u + 20", "u + 29"], ["u", "w + 20", "w + 49"], ["w", "k + 16", "k + 65"], ["k", "s + 19", "s + 84"], ["s", "z + 14", "z + 98"], ["z", 8, "106"]], "target_var_name": "e", "target_value": 106, "value_dict": {"z": 8}, "is_reverse": true}} | 7,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 8; f = g + 13; m = u + 20; e = m + 9; s = z + 14; z = 8; w = k + 16; k = s + 19; o = b + 6; b = j + 19; j = f + 10; u = w + 20; l = o + 4. If z = 8, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 20 to e, which gives e = u + 29.\n2. Substitute u = w + 20 to e, which gives e = w + 49.\n3. Substitute w = k + 16 to e, which gives e = k + 65.\n4. Substitute k = s + 19 to e, which gives e = s + 84.\n5. Substitute s = z + 14 to e, which gives e = z + 98.\n6. Substitute z = 8 to e, which gives e = 106.\n\nThus, the final answer is e = \\boxed{106}.",
"index": 7183,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 8; f = g + 13; m = u + 20; e = m + 9; s = z + 14; z = 8; w = k + 16; k = s + 19; o = b + 6; b = j + 19; j = f + 10; u = w + 20; l = o + 4. If z = 8, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 13", "g": "f + 4", "t": "g + 18", "m": "t + 10", "j": "m + 20", "p": "j + 10", "b": "u + 10", "n": "b + 7", "x": "n + 9", "y": "x + 5", "l": "y + 18", "v": "l + 9", "u": 5}, "premises": {"u": 5}, "target": "p"}, "answer": {"steps": [["j", "m + 20", "m + 30"], ["m", "t + 10", "t + 40"], ["t", "g + 18", "g + 58"], ["g", "f + 4", "f + 62"], ["f", "u + 13", "u + 75"], ["u", 5, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"u": 5}, "is_reverse": true}} | 7,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 10; t = g + 18; y = x + 5; p = j + 10; x = n + 9; g = f + 4; j = m + 20; m = t + 10; u = 5; n = b + 7; v = l + 9; f = u + 13; l = y + 18. Given that u = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 20 to p, which gives p = m + 30.\n2. Substitute m = t + 10 to p, which gives p = t + 40.\n3. Substitute t = g + 18 to p, which gives p = g + 58.\n4. Substitute g = f + 4 to p, which gives p = f + 62.\n5. Substitute f = u + 13 to p, which gives p = u + 75.\n6. Substitute u = 5 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 7184,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 10; t = g + 18; y = x + 5; p = j + 10; x = n + 9; g = f + 4; j = m + 20; m = t + 10; u = 5; n = b + 7; v = l + 9; f = u + 13; l = y + 18. Given that u = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 8", "i": "h + 18", "p": "i + 17", "y": "p + 9", "z": "y + 9", "w": "z + 11", "r": "u + 20", "v": "r + 13", "a": "v + 19", "b": "a + 3", "f": "b + 20", "k": "f + 9", "u": 6}, "premises": {"u": 6}, "target": "w"}, "answer": {"steps": [["z", "y + 9", "y + 20"], ["y", "p + 9", "p + 29"], ["p", "i + 17", "i + 46"], ["i", "h + 18", "h + 64"], ["h", "u + 8", "u + 72"], ["u", 6, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"u": 6}, "is_reverse": true}} | 7,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 11; k = f + 9; h = u + 8; b = a + 3; u = 6; i = h + 18; p = i + 17; y = p + 9; a = v + 19; v = r + 13; r = u + 20; f = b + 20; z = y + 9. If u = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 9 to w, which gives w = y + 20.\n2. Substitute y = p + 9 to w, which gives w = p + 29.\n3. Substitute p = i + 17 to w, which gives w = i + 46.\n4. Substitute i = h + 18 to w, which gives w = h + 64.\n5. Substitute h = u + 8 to w, which gives w = u + 72.\n6. Substitute u = 6 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 7185,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 11; k = f + 9; h = u + 8; b = a + 3; u = 6; i = h + 18; p = i + 17; y = p + 9; a = v + 19; v = r + 13; r = u + 20; f = b + 20; z = y + 9. If u = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 10", "h": "i + 4", "u": "h + 10", "o": "u + 18", "g": "o + 6", "x": "g + 11", "y": "v + 2", "b": "y + 10", "j": "b + 1", "c": "j + 15", "r": "c + 6", "z": "r + 17", "v": 18}, "premises": {"v": 18}, "target": "x"}, "answer": {"steps": [["g", "o + 6", "o + 17"], ["o", "u + 18", "u + 35"], ["u", "h + 10", "h + 45"], ["h", "i + 4", "i + 49"], ["i", "v + 10", "v + 59"], ["v", 18, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"v": 18}, "is_reverse": true}} | 7,186 | 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 = v + 10; c = j + 15; z = r + 17; g = o + 6; x = g + 11; r = c + 6; u = h + 10; y = v + 2; o = u + 18; b = y + 10; h = i + 4; j = b + 1; v = 18. If v = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 6 to x, which gives x = o + 17.\n2. Substitute o = u + 18 to x, which gives x = u + 35.\n3. Substitute u = h + 10 to x, which gives x = h + 45.\n4. Substitute h = i + 4 to x, which gives x = i + 49.\n5. Substitute i = v + 10 to x, which gives x = v + 59.\n6. Substitute v = 18 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 7186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 10; c = j + 15; z = r + 17; g = o + 6; x = g + 11; r = c + 6; u = h + 10; y = v + 2; o = u + 18; b = y + 10; h = i + 4; j = b + 1; v = 18. If v = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 7", "t": "y + 5", "v": "t + 9", "n": "v + 7", "p": "n + 11", "g": "p + 8", "z": "k + 10", "r": "z + 2", "l": "r + 19", "b": "l + 8", "m": "b + 11", "s": "m + 5", "k": 4}, "premises": {"k": 4}, "target": "g"}, "answer": {"steps": [["p", "n + 11", "n + 19"], ["n", "v + 7", "v + 26"], ["v", "t + 9", "t + 35"], ["t", "y + 5", "y + 40"], ["y", "k + 7", "k + 47"], ["k", 4, "51"]], "target_var_name": "g", "target_value": 51, "value_dict": {"k": 4}, "is_reverse": true}} | 7,187 | 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 = r + 19; p = n + 11; y = k + 7; v = t + 9; m = b + 11; k = 4; b = l + 8; z = k + 10; r = z + 2; s = m + 5; g = p + 8; n = v + 7; t = y + 5. If k = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 11 to g, which gives g = n + 19.\n2. Substitute n = v + 7 to g, which gives g = v + 26.\n3. Substitute v = t + 9 to g, which gives g = t + 35.\n4. Substitute t = y + 5 to g, which gives g = y + 40.\n5. Substitute y = k + 7 to g, which gives g = k + 47.\n6. Substitute k = 4 to g, which gives g = 51.\n\nThus, the final answer is g = \\boxed{51}.",
"index": 7187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 19; p = n + 11; y = k + 7; v = t + 9; m = b + 11; k = 4; b = l + 8; z = k + 10; r = z + 2; s = m + 5; g = p + 8; n = v + 7; t = y + 5. If k = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 10", "c": "v + 6", "f": "c + 11", "z": "f + 6", "h": "z + 6", "p": "h + 15", "u": "r + 12", "m": "u + 14", "g": "m + 2", "q": "g + 3", "e": "q + 1", "w": "e + 5", "r": 8}, "premises": {"r": 8}, "target": "p"}, "answer": {"steps": [["h", "z + 6", "z + 21"], ["z", "f + 6", "f + 27"], ["f", "c + 11", "c + 38"], ["c", "v + 6", "v + 44"], ["v", "r + 10", "r + 54"], ["r", 8, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"r": 8}, "is_reverse": true}} | 7,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 6; r = 8; u = r + 12; q = g + 3; f = c + 11; h = z + 6; m = u + 14; e = q + 1; z = f + 6; p = h + 15; g = m + 2; v = r + 10; w = e + 5. If r = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 6 to p, which gives p = z + 21.\n2. Substitute z = f + 6 to p, which gives p = f + 27.\n3. Substitute f = c + 11 to p, which gives p = c + 38.\n4. Substitute c = v + 6 to p, which gives p = v + 44.\n5. Substitute v = r + 10 to p, which gives p = r + 54.\n6. Substitute r = 8 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 7188,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 6; r = 8; u = r + 12; q = g + 3; f = c + 11; h = z + 6; m = u + 14; e = q + 1; z = f + 6; p = h + 15; g = m + 2; v = r + 10; w = e + 5. If r = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 6", "j": "a + 11", "m": "j + 2", "c": "m + 11", "v": "c + 12", "q": "v + 14", "g": "s + 12", "d": "g + 10", "w": "d + 18", "x": "w + 12", "p": "x + 12", "n": "p + 18", "s": 4}, "premises": {"s": 4}, "target": "q"}, "answer": {"steps": [["v", "c + 12", "c + 26"], ["c", "m + 11", "m + 37"], ["m", "j + 2", "j + 39"], ["j", "a + 11", "a + 50"], ["a", "s + 6", "s + 56"], ["s", 4, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"s": 4}, "is_reverse": true}} | 7,189 | 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 = s + 6; v = c + 12; n = p + 18; m = j + 2; w = d + 18; s = 4; d = g + 10; j = a + 11; p = x + 12; q = v + 14; c = m + 11; x = w + 12; g = s + 12. If s = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 12 to q, which gives q = c + 26.\n2. Substitute c = m + 11 to q, which gives q = m + 37.\n3. Substitute m = j + 2 to q, which gives q = j + 39.\n4. Substitute j = a + 11 to q, which gives q = a + 50.\n5. Substitute a = s + 6 to q, which gives q = s + 56.\n6. Substitute s = 4 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 7189,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 6; v = c + 12; n = p + 18; m = j + 2; w = d + 18; s = 4; d = g + 10; j = a + 11; p = x + 12; q = v + 14; c = m + 11; x = w + 12; g = s + 12. If s = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 20", "p": "u + 17", "i": "p + 4", "n": "i + 3", "o": "n + 18", "l": "o + 15", "f": "m + 14", "x": "f + 6", "j": "x + 3", "g": "j + 2", "r": "g + 3", "v": "r + 8", "m": 7}, "premises": {"m": 7}, "target": "l"}, "answer": {"steps": [["o", "n + 18", "n + 33"], ["n", "i + 3", "i + 36"], ["i", "p + 4", "p + 40"], ["p", "u + 17", "u + 57"], ["u", "m + 20", "m + 77"], ["m", 7, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"m": 7}, "is_reverse": true}} | 7,190 | 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 = m + 14; u = m + 20; g = j + 2; x = f + 6; m = 7; j = x + 3; r = g + 3; l = o + 15; n = i + 3; v = r + 8; o = n + 18; p = u + 17; i = p + 4. If m = 7, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 18 to l, which gives l = n + 33.\n2. Substitute n = i + 3 to l, which gives l = i + 36.\n3. Substitute i = p + 4 to l, which gives l = p + 40.\n4. Substitute p = u + 17 to l, which gives l = u + 57.\n5. Substitute u = m + 20 to l, which gives l = m + 77.\n6. Substitute m = 7 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 7190,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 14; u = m + 20; g = j + 2; x = f + 6; m = 7; j = x + 3; r = g + 3; l = o + 15; n = i + 3; v = r + 8; o = n + 18; p = u + 17; i = p + 4. If m = 7, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 8", "p": "x + 17", "v": "p + 17", "y": "v + 13", "l": "y + 16", "t": "l + 6", "c": "q + 1", "b": "c + 18", "o": "b + 10", "n": "o + 8", "a": "n + 18", "h": "a + 20", "q": 1}, "premises": {"q": 1}, "target": "t"}, "answer": {"steps": [["l", "y + 16", "y + 22"], ["y", "v + 13", "v + 35"], ["v", "p + 17", "p + 52"], ["p", "x + 17", "x + 69"], ["x", "q + 8", "q + 77"], ["q", 1, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"q": 1}, "is_reverse": true}} | 7,191 | 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 + 6; a = n + 18; p = x + 17; v = p + 17; q = 1; b = c + 18; h = a + 20; n = o + 8; y = v + 13; o = b + 10; x = q + 8; l = y + 16; c = q + 1. If q = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 16 to t, which gives t = y + 22.\n2. Substitute y = v + 13 to t, which gives t = v + 35.\n3. Substitute v = p + 17 to t, which gives t = p + 52.\n4. Substitute p = x + 17 to t, which gives t = x + 69.\n5. Substitute x = q + 8 to t, which gives t = q + 77.\n6. Substitute q = 1 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 7191,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 6; a = n + 18; p = x + 17; v = p + 17; q = 1; b = c + 18; h = a + 20; n = o + 8; y = v + 13; o = b + 10; x = q + 8; l = y + 16; c = q + 1. If q = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 14", "i": "f + 2", "g": "i + 9", "k": "g + 9", "z": "k + 6", "s": "z + 2", "b": "a + 19", "j": "b + 7", "h": "j + 10", "x": "h + 18", "q": "x + 19", "m": "q + 16", "a": 10}, "premises": {"a": 10}, "target": "s"}, "answer": {"steps": [["z", "k + 6", "k + 8"], ["k", "g + 9", "g + 17"], ["g", "i + 9", "i + 26"], ["i", "f + 2", "f + 28"], ["f", "a + 14", "a + 42"], ["a", 10, "52"]], "target_var_name": "s", "target_value": 52, "value_dict": {"a": 10}, "is_reverse": true}} | 7,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 2; j = b + 7; f = a + 14; z = k + 6; m = q + 16; a = 10; s = z + 2; k = g + 9; g = i + 9; q = x + 19; b = a + 19; h = j + 10; x = h + 18. If a = 10, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 6 to s, which gives s = k + 8.\n2. Substitute k = g + 9 to s, which gives s = g + 17.\n3. Substitute g = i + 9 to s, which gives s = i + 26.\n4. Substitute i = f + 2 to s, which gives s = f + 28.\n5. Substitute f = a + 14 to s, which gives s = a + 42.\n6. Substitute a = 10 to s, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 7192,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 2; j = b + 7; f = a + 14; z = k + 6; m = q + 16; a = 10; s = z + 2; k = g + 9; g = i + 9; q = x + 19; b = a + 19; h = j + 10; x = h + 18. If a = 10, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 1", "p": "i + 6", "l": "p + 4", "h": "l + 3", "w": "h + 11", "m": "w + 14", "f": "j + 7", "t": "f + 9", "r": "t + 17", "n": "r + 1", "a": "n + 4", "c": "a + 10", "j": 7}, "premises": {"j": 7}, "target": "m"}, "answer": {"steps": [["w", "h + 11", "h + 25"], ["h", "l + 3", "l + 28"], ["l", "p + 4", "p + 32"], ["p", "i + 6", "i + 38"], ["i", "j + 1", "j + 39"], ["j", 7, "46"]], "target_var_name": "m", "target_value": 46, "value_dict": {"j": 7}, "is_reverse": true}} | 7,193 | 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 = r + 1; t = f + 9; f = j + 7; l = p + 4; m = w + 14; j = 7; r = t + 17; c = a + 10; h = l + 3; i = j + 1; a = n + 4; w = h + 11; p = i + 6. If j = 7, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 11 to m, which gives m = h + 25.\n2. Substitute h = l + 3 to m, which gives m = l + 28.\n3. Substitute l = p + 4 to m, which gives m = p + 32.\n4. Substitute p = i + 6 to m, which gives m = i + 38.\n5. Substitute i = j + 1 to m, which gives m = j + 39.\n6. Substitute j = 7 to m, which gives m = 46.\n\nThus, the final answer is m = \\boxed{46}.",
"index": 7193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 1; t = f + 9; f = j + 7; l = p + 4; m = w + 14; j = 7; r = t + 17; c = a + 10; h = l + 3; i = j + 1; a = n + 4; w = h + 11; p = i + 6. If j = 7, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 4", "l": "e + 20", "j": "l + 6", "u": "j + 1", "i": "u + 9", "n": "i + 5", "v": "w + 1", "b": "v + 8", "p": "b + 19", "q": "p + 20", "y": "q + 16", "c": "y + 17", "w": 14}, "premises": {"w": 14}, "target": "n"}, "answer": {"steps": [["i", "u + 9", "u + 14"], ["u", "j + 1", "j + 15"], ["j", "l + 6", "l + 21"], ["l", "e + 20", "e + 41"], ["e", "w + 4", "w + 45"], ["w", 14, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"w": 14}, "is_reverse": true}} | 7,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = b + 19; i = u + 9; j = l + 6; y = q + 16; u = j + 1; q = p + 20; w = 14; b = v + 8; c = y + 17; n = i + 5; v = w + 1; e = w + 4; l = e + 20. Given that w = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 9 to n, which gives n = u + 14.\n2. Substitute u = j + 1 to n, which gives n = j + 15.\n3. Substitute j = l + 6 to n, which gives n = l + 21.\n4. Substitute l = e + 20 to n, which gives n = e + 41.\n5. Substitute e = w + 4 to n, which gives n = w + 45.\n6. Substitute w = 14 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 7194,
"question": "Suppose a collection of variables is related by the following definitions: p = b + 19; i = u + 9; j = l + 6; y = q + 16; u = j + 1; q = p + 20; w = 14; b = v + 8; c = y + 17; n = i + 5; v = w + 1; e = w + 4; l = e + 20. Given that w = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 5", "r": "i + 20", "y": "r + 9", "d": "y + 12", "m": "d + 7", "v": "m + 12", "g": "c + 17", "p": "g + 10", "x": "p + 1", "n": "x + 20", "e": "n + 19", "a": "e + 13", "c": 8}, "premises": {"c": 8}, "target": "v"}, "answer": {"steps": [["m", "d + 7", "d + 19"], ["d", "y + 12", "y + 31"], ["y", "r + 9", "r + 40"], ["r", "i + 20", "i + 60"], ["i", "c + 5", "c + 65"], ["c", 8, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"c": 8}, "is_reverse": true}} | 7,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 20; x = p + 1; y = r + 9; c = 8; n = x + 20; d = y + 12; e = n + 19; i = c + 5; p = g + 10; v = m + 12; g = c + 17; a = e + 13; m = d + 7. If c = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 7 to v, which gives v = d + 19.\n2. Substitute d = y + 12 to v, which gives v = y + 31.\n3. Substitute y = r + 9 to v, which gives v = r + 40.\n4. Substitute r = i + 20 to v, which gives v = i + 60.\n5. Substitute i = c + 5 to v, which gives v = c + 65.\n6. Substitute c = 8 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 7195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 20; x = p + 1; y = r + 9; c = 8; n = x + 20; d = y + 12; e = n + 19; i = c + 5; p = g + 10; v = m + 12; g = c + 17; a = e + 13; m = d + 7. If c = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 16", "m": "w + 10", "n": "m + 1", "a": "n + 15", "t": "a + 2", "s": "t + 20", "c": "i + 13", "p": "c + 5", "l": "p + 9", "j": "l + 8", "f": "j + 20", "g": "f + 8", "i": 10}, "premises": {"i": 10}, "target": "s"}, "answer": {"steps": [["t", "a + 2", "a + 22"], ["a", "n + 15", "n + 37"], ["n", "m + 1", "m + 38"], ["m", "w + 10", "w + 48"], ["w", "i + 16", "i + 64"], ["i", 10, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"i": 10}, "is_reverse": true}} | 7,196 | 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; p = c + 5; t = a + 2; l = p + 9; c = i + 13; w = i + 16; j = l + 8; m = w + 10; i = 10; g = f + 8; f = j + 20; n = m + 1; a = n + 15. Given that i = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 2 to s, which gives s = a + 22.\n2. Substitute a = n + 15 to s, which gives s = n + 37.\n3. Substitute n = m + 1 to s, which gives s = m + 38.\n4. Substitute m = w + 10 to s, which gives s = w + 48.\n5. Substitute w = i + 16 to s, which gives s = i + 64.\n6. Substitute i = 10 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 7196,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 20; p = c + 5; t = a + 2; l = p + 9; c = i + 13; w = i + 16; j = l + 8; m = w + 10; i = 10; g = f + 8; f = j + 20; n = m + 1; a = n + 15. Given that i = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 13", "u": "m + 14", "z": "u + 14", "t": "z + 12", "s": "t + 11", "w": "s + 18", "i": "e + 17", "f": "i + 4", "d": "f + 18", "p": "d + 10", "l": "p + 4", "o": "l + 7", "e": 13}, "premises": {"e": 13}, "target": "w"}, "answer": {"steps": [["s", "t + 11", "t + 29"], ["t", "z + 12", "z + 41"], ["z", "u + 14", "u + 55"], ["u", "m + 14", "m + 69"], ["m", "e + 13", "e + 82"], ["e", 13, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"e": 13}, "is_reverse": true}} | 7,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 4; o = l + 7; s = t + 11; p = d + 10; z = u + 14; m = e + 13; w = s + 18; e = 13; l = p + 4; i = e + 17; d = f + 18; u = m + 14; t = z + 12. If e = 13, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 11 to w, which gives w = t + 29.\n2. Substitute t = z + 12 to w, which gives w = z + 41.\n3. Substitute z = u + 14 to w, which gives w = u + 55.\n4. Substitute u = m + 14 to w, which gives w = m + 69.\n5. Substitute m = e + 13 to w, which gives w = e + 82.\n6. Substitute e = 13 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 7197,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 4; o = l + 7; s = t + 11; p = d + 10; z = u + 14; m = e + 13; w = s + 18; e = 13; l = p + 4; i = e + 17; d = f + 18; u = m + 14; t = z + 12. If e = 13, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 8", "f": "y + 8", "c": "f + 10", "k": "c + 11", "n": "k + 10", "l": "n + 14", "v": "m + 4", "p": "v + 3", "d": "p + 8", "i": "d + 10", "j": "i + 12", "g": "j + 20", "m": 9}, "premises": {"m": 9}, "target": "l"}, "answer": {"steps": [["n", "k + 10", "k + 24"], ["k", "c + 11", "c + 35"], ["c", "f + 10", "f + 45"], ["f", "y + 8", "y + 53"], ["y", "m + 8", "m + 61"], ["m", 9, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"m": 9}, "is_reverse": true}} | 7,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 10; d = p + 8; l = n + 14; f = y + 8; c = f + 10; k = c + 11; n = k + 10; j = i + 12; m = 9; g = j + 20; v = m + 4; y = m + 8; p = v + 3. Given that m = 9, find 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 n = k + 10 to l, which gives l = k + 24.\n2. Substitute k = c + 11 to l, which gives l = c + 35.\n3. Substitute c = f + 10 to l, which gives l = f + 45.\n4. Substitute f = y + 8 to l, which gives l = y + 53.\n5. Substitute y = m + 8 to l, which gives l = m + 61.\n6. Substitute m = 9 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 7198,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 10; d = p + 8; l = n + 14; f = y + 8; c = f + 10; k = c + 11; n = k + 10; j = i + 12; m = 9; g = j + 20; v = m + 4; y = m + 8; p = v + 3. Given that m = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 8", "m": "e + 8", "l": "m + 10", "u": "l + 7", "o": "u + 20", "r": "o + 17", "f": "i + 8", "y": "f + 17", "d": "y + 13", "z": "d + 2", "q": "z + 8", "c": "q + 11", "i": 8}, "premises": {"i": 8}, "target": "r"}, "answer": {"steps": [["o", "u + 20", "u + 37"], ["u", "l + 7", "l + 44"], ["l", "m + 10", "m + 54"], ["m", "e + 8", "e + 62"], ["e", "i + 8", "i + 70"], ["i", 8, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"i": 8}, "is_reverse": true}} | 7,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 17; m = e + 8; l = m + 10; r = o + 17; z = d + 2; u = l + 7; e = i + 8; i = 8; d = y + 13; q = z + 8; c = q + 11; f = i + 8; o = u + 20. Given that i = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 20 to r, which gives r = u + 37.\n2. Substitute u = l + 7 to r, which gives r = l + 44.\n3. Substitute l = m + 10 to r, which gives r = m + 54.\n4. Substitute m = e + 8 to r, which gives r = e + 62.\n5. Substitute e = i + 8 to r, which gives r = i + 70.\n6. Substitute i = 8 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 7199,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 17; m = e + 8; l = m + 10; r = o + 17; z = d + 2; u = l + 7; e = i + 8; i = 8; d = y + 13; q = z + 8; c = q + 11; f = i + 8; o = u + 20. Given that i = 8, find the value of r.",
"split": "train"
} |
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