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": {"w": "b + 20", "t": "w + 9", "m": "t + 20", "d": "m + 6", "c": "d + 10", "e": "c + 1", "i": "b + 13", "k": "i + 2", "u": "k + 3", "o": "u + 8", "f": "o + 8", "r": "f + 1", "b": 5}, "premises": {"b": 5}, "target": "e"}, "answer": {"steps": [["c", "d + 10", "d + 11"], ["d", "m + 6", "m + 17"], ["m", "t + 20", "t + 37"], ["t", "w + 9", "w + 46"], ["w", "b + 20", "b + 66"], ["b", 5, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"b": 5}, "is_reverse": true}} | 22,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 8; m = t + 20; r = f + 1; u = k + 3; e = c + 1; w = b + 20; k = i + 2; b = 5; f = o + 8; i = b + 13; t = w + 9; c = d + 10; d = m + 6. If b = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 10 to e, which gives e = d + 11.\n2. Substitute d = m + 6 to e, which gives e = m + 17.\n3. Substitute m = t + 20 to e, which gives e = t + 37.\n4. Substitute t = w + 9 to e, which gives e = w + 46.\n5. Substitute w = b + 20 to e, which gives e = b + 66.\n6. Substitute b = 5 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 22200,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 8; m = t + 20; r = f + 1; u = k + 3; e = c + 1; w = b + 20; k = i + 2; b = 5; f = o + 8; i = b + 13; t = w + 9; c = d + 10; d = m + 6. If b = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 10", "b": "u + 2", "i": "b + 6", "x": "i + 4", "a": "x + 15", "t": "a + 13", "z": "y + 14", "g": "z + 17", "l": "g + 8", "f": "l + 20", "q": "f + 11", "j": "q + 18", "y": 17}, "premises": {"y": 17}, "target": "t"}, "answer": {"steps": [["a", "x + 15", "x + 28"], ["x", "i + 4", "i + 32"], ["i", "b + 6", "b + 38"], ["b", "u + 2", "u + 40"], ["u", "y + 10", "y + 50"], ["y", 17, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"y": 17}, "is_reverse": true}} | 22,201 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 15; f = l + 20; l = g + 8; q = f + 11; x = i + 4; t = a + 13; i = b + 6; y = 17; b = u + 2; g = z + 17; u = y + 10; j = q + 18; z = y + 14. If y = 17, determine 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 a = x + 15 to t, which gives t = x + 28.\n2. Substitute x = i + 4 to t, which gives t = i + 32.\n3. Substitute i = b + 6 to t, which gives t = b + 38.\n4. Substitute b = u + 2 to t, which gives t = u + 40.\n5. Substitute u = y + 10 to t, which gives t = y + 50.\n6. Substitute y = 17 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 22201,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 15; f = l + 20; l = g + 8; q = f + 11; x = i + 4; t = a + 13; i = b + 6; y = 17; b = u + 2; g = z + 17; u = y + 10; j = q + 18; z = y + 14. If y = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 7", "t": "b + 20", "p": "t + 6", "a": "p + 13", "u": "a + 13", "m": "u + 6", "r": "y + 3", "c": "r + 16", "g": "c + 1", "e": "g + 14", "s": "e + 5", "z": "s + 5", "y": 14}, "premises": {"y": 14}, "target": "m"}, "answer": {"steps": [["u", "a + 13", "a + 19"], ["a", "p + 13", "p + 32"], ["p", "t + 6", "t + 38"], ["t", "b + 20", "b + 58"], ["b", "y + 7", "y + 65"], ["y", 14, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"y": 14}, "is_reverse": true}} | 22,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 5; b = y + 7; t = b + 20; c = r + 16; e = g + 14; u = a + 13; z = s + 5; g = c + 1; r = y + 3; y = 14; a = p + 13; p = t + 6; m = u + 6. Given that y = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 13 to m, which gives m = a + 19.\n2. Substitute a = p + 13 to m, which gives m = p + 32.\n3. Substitute p = t + 6 to m, which gives m = t + 38.\n4. Substitute t = b + 20 to m, which gives m = b + 58.\n5. Substitute b = y + 7 to m, which gives m = y + 65.\n6. Substitute y = 14 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 22202,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 5; b = y + 7; t = b + 20; c = r + 16; e = g + 14; u = a + 13; z = s + 5; g = c + 1; r = y + 3; y = 14; a = p + 13; p = t + 6; m = u + 6. Given that y = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 14", "n": "x + 4", "i": "n + 16", "g": "i + 6", "a": "g + 3", "s": "a + 14", "j": "q + 13", "b": "j + 7", "h": "b + 15", "e": "h + 2", "z": "e + 7", "y": "z + 19", "q": 7}, "premises": {"q": 7}, "target": "s"}, "answer": {"steps": [["a", "g + 3", "g + 17"], ["g", "i + 6", "i + 23"], ["i", "n + 16", "n + 39"], ["n", "x + 4", "x + 43"], ["x", "q + 14", "q + 57"], ["q", 7, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"q": 7}, "is_reverse": true}} | 22,203 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 13; i = n + 16; n = x + 4; g = i + 6; h = b + 15; e = h + 2; a = g + 3; b = j + 7; z = e + 7; y = z + 19; x = q + 14; q = 7; s = a + 14. If q = 7, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 3 to s, which gives s = g + 17.\n2. Substitute g = i + 6 to s, which gives s = i + 23.\n3. Substitute i = n + 16 to s, which gives s = n + 39.\n4. Substitute n = x + 4 to s, which gives s = x + 43.\n5. Substitute x = q + 14 to s, which gives s = q + 57.\n6. Substitute q = 7 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 22203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 13; i = n + 16; n = x + 4; g = i + 6; h = b + 15; e = h + 2; a = g + 3; b = j + 7; z = e + 7; y = z + 19; x = q + 14; q = 7; s = a + 14. If q = 7, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"g": "k + 7", "f": "g + 3", "o": "f + 1", "c": "o + 10", "w": "c + 9", "z": "w + 14", "d": "k + 4", "m": "d + 20", "t": "m + 12", "l": "t + 8", "j": "l + 12", "a": "j + 5", "k": 7}, "premises": {"k": 7}, "target": "z"}, "answer": {"steps": [["w", "c + 9", "c + 23"], ["c", "o + 10", "o + 33"], ["o", "f + 1", "f + 34"], ["f", "g + 3", "g + 37"], ["g", "k + 7", "k + 44"], ["k", 7, "51"]], "target_var_name": "z", "target_value": 51, "value_dict": {"k": 7}, "is_reverse": true}} | 22,204 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 20; k = 7; j = l + 12; o = f + 1; f = g + 3; g = k + 7; d = k + 4; a = j + 5; c = o + 10; w = c + 9; t = m + 12; l = t + 8; z = w + 14. If k = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 9 to z, which gives z = c + 23.\n2. Substitute c = o + 10 to z, which gives z = o + 33.\n3. Substitute o = f + 1 to z, which gives z = f + 34.\n4. Substitute f = g + 3 to z, which gives z = g + 37.\n5. Substitute g = k + 7 to z, which gives z = k + 44.\n6. Substitute k = 7 to z, which gives z = 51.\n\nThus, the final answer is z = \\boxed{51}.",
"index": 22204,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 20; k = 7; j = l + 12; o = f + 1; f = g + 3; g = k + 7; d = k + 4; a = j + 5; c = o + 10; w = c + 9; t = m + 12; l = t + 8; z = w + 14. If k = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 2", "d": "g + 11", "e": "d + 16", "r": "e + 13", "c": "r + 16", "p": "c + 6", "f": "v + 11", "m": "f + 6", "o": "m + 18", "u": "o + 17", "z": "u + 1", "n": "z + 13", "v": 9}, "premises": {"v": 9}, "target": "p"}, "answer": {"steps": [["c", "r + 16", "r + 22"], ["r", "e + 13", "e + 35"], ["e", "d + 16", "d + 51"], ["d", "g + 11", "g + 62"], ["g", "v + 2", "v + 64"], ["v", 9, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"v": 9}, "is_reverse": true}} | 22,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 6; z = u + 1; d = g + 11; e = d + 16; r = e + 13; m = f + 6; u = o + 17; o = m + 18; n = z + 13; v = 9; f = v + 11; c = r + 16; g = v + 2. If v = 9, 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 c = r + 16 to p, which gives p = r + 22.\n2. Substitute r = e + 13 to p, which gives p = e + 35.\n3. Substitute e = d + 16 to p, which gives p = d + 51.\n4. Substitute d = g + 11 to p, which gives p = g + 62.\n5. Substitute g = v + 2 to p, which gives p = v + 64.\n6. Substitute v = 9 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 22205,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 6; z = u + 1; d = g + 11; e = d + 16; r = e + 13; m = f + 6; u = o + 17; o = m + 18; n = z + 13; v = 9; f = v + 11; c = r + 16; g = v + 2. If v = 9, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 10", "b": "x + 5", "p": "b + 6", "g": "p + 15", "h": "g + 8", "v": "h + 5", "n": "e + 2", "q": "n + 15", "y": "q + 16", "o": "y + 19", "w": "o + 16", "m": "w + 7", "e": 10}, "premises": {"e": 10}, "target": "v"}, "answer": {"steps": [["h", "g + 8", "g + 13"], ["g", "p + 15", "p + 28"], ["p", "b + 6", "b + 34"], ["b", "x + 5", "x + 39"], ["x", "e + 10", "e + 49"], ["e", 10, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"e": 10}, "is_reverse": true}} | 22,206 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 8; y = q + 16; q = n + 15; n = e + 2; v = h + 5; p = b + 6; x = e + 10; m = w + 7; b = x + 5; o = y + 19; g = p + 15; e = 10; w = o + 16. If e = 10, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 8 to v, which gives v = g + 13.\n2. Substitute g = p + 15 to v, which gives v = p + 28.\n3. Substitute p = b + 6 to v, which gives v = b + 34.\n4. Substitute b = x + 5 to v, which gives v = x + 39.\n5. Substitute x = e + 10 to v, which gives v = e + 49.\n6. Substitute e = 10 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 22206,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 8; y = q + 16; q = n + 15; n = e + 2; v = h + 5; p = b + 6; x = e + 10; m = w + 7; b = x + 5; o = y + 19; g = p + 15; e = 10; w = o + 16. If e = 10, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 13", "n": "q + 2", "y": "n + 17", "i": "y + 11", "m": "i + 11", "b": "m + 12", "e": "w + 5", "f": "e + 14", "u": "f + 4", "t": "u + 6", "s": "t + 11", "c": "s + 8", "w": 15}, "premises": {"w": 15}, "target": "b"}, "answer": {"steps": [["m", "i + 11", "i + 23"], ["i", "y + 11", "y + 34"], ["y", "n + 17", "n + 51"], ["n", "q + 2", "q + 53"], ["q", "w + 13", "w + 66"], ["w", 15, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"w": 15}, "is_reverse": true}} | 22,207 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 2; f = e + 14; w = 15; t = u + 6; i = y + 11; s = t + 11; c = s + 8; q = w + 13; m = i + 11; e = w + 5; y = n + 17; u = f + 4; b = m + 12. If w = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 11 to b, which gives b = i + 23.\n2. Substitute i = y + 11 to b, which gives b = y + 34.\n3. Substitute y = n + 17 to b, which gives b = n + 51.\n4. Substitute n = q + 2 to b, which gives b = q + 53.\n5. Substitute q = w + 13 to b, which gives b = w + 66.\n6. Substitute w = 15 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 22207,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 2; f = e + 14; w = 15; t = u + 6; i = y + 11; s = t + 11; c = s + 8; q = w + 13; m = i + 11; e = w + 5; y = n + 17; u = f + 4; b = m + 12. If w = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 6", "f": "h + 18", "b": "f + 17", "z": "b + 19", "n": "z + 5", "d": "n + 3", "l": "m + 19", "i": "l + 20", "q": "i + 3", "o": "q + 18", "t": "o + 5", "p": "t + 16", "m": 13}, "premises": {"m": 13}, "target": "d"}, "answer": {"steps": [["n", "z + 5", "z + 8"], ["z", "b + 19", "b + 27"], ["b", "f + 17", "f + 44"], ["f", "h + 18", "h + 62"], ["h", "m + 6", "m + 68"], ["m", 13, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"m": 13}, "is_reverse": true}} | 22,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 17; o = q + 18; t = o + 5; p = t + 16; h = m + 6; i = l + 20; n = z + 5; f = h + 18; z = b + 19; q = i + 3; m = 13; d = n + 3; l = m + 19. If m = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 5 to d, which gives d = z + 8.\n2. Substitute z = b + 19 to d, which gives d = b + 27.\n3. Substitute b = f + 17 to d, which gives d = f + 44.\n4. Substitute f = h + 18 to d, which gives d = h + 62.\n5. Substitute h = m + 6 to d, which gives d = m + 68.\n6. Substitute m = 13 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 22208,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 17; o = q + 18; t = o + 5; p = t + 16; h = m + 6; i = l + 20; n = z + 5; f = h + 18; z = b + 19; q = i + 3; m = 13; d = n + 3; l = m + 19. If m = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 10", "q": "j + 13", "x": "q + 17", "h": "x + 10", "l": "h + 4", "f": "l + 18", "i": "s + 7", "g": "i + 3", "b": "g + 14", "y": "b + 9", "n": "y + 16", "o": "n + 3", "s": 10}, "premises": {"s": 10}, "target": "f"}, "answer": {"steps": [["l", "h + 4", "h + 22"], ["h", "x + 10", "x + 32"], ["x", "q + 17", "q + 49"], ["q", "j + 13", "j + 62"], ["j", "s + 10", "s + 72"], ["s", 10, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"s": 10}, "is_reverse": true}} | 22,209 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 14; n = y + 16; g = i + 3; q = j + 13; l = h + 4; y = b + 9; o = n + 3; h = x + 10; i = s + 7; s = 10; j = s + 10; x = q + 17; f = l + 18. Given that s = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 4 to f, which gives f = h + 22.\n2. Substitute h = x + 10 to f, which gives f = x + 32.\n3. Substitute x = q + 17 to f, which gives f = q + 49.\n4. Substitute q = j + 13 to f, which gives f = j + 62.\n5. Substitute j = s + 10 to f, which gives f = s + 72.\n6. Substitute s = 10 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 22209,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 14; n = y + 16; g = i + 3; q = j + 13; l = h + 4; y = b + 9; o = n + 3; h = x + 10; i = s + 7; s = 10; j = s + 10; x = q + 17; f = l + 18. Given that s = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 4", "a": "x + 16", "k": "a + 8", "z": "k + 12", "t": "z + 12", "v": "t + 13", "g": "m + 13", "s": "g + 10", "d": "s + 8", "r": "d + 12", "q": "r + 17", "l": "q + 18", "m": 11}, "premises": {"m": 11}, "target": "v"}, "answer": {"steps": [["t", "z + 12", "z + 25"], ["z", "k + 12", "k + 37"], ["k", "a + 8", "a + 45"], ["a", "x + 16", "x + 61"], ["x", "m + 4", "m + 65"], ["m", 11, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"m": 11}, "is_reverse": true}} | 22,210 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 12; x = m + 4; q = r + 17; z = k + 12; d = s + 8; l = q + 18; m = 11; k = a + 8; t = z + 12; v = t + 13; a = x + 16; g = m + 13; s = g + 10. If m = 11, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 12 to v, which gives v = z + 25.\n2. Substitute z = k + 12 to v, which gives v = k + 37.\n3. Substitute k = a + 8 to v, which gives v = a + 45.\n4. Substitute a = x + 16 to v, which gives v = x + 61.\n5. Substitute x = m + 4 to v, which gives v = m + 65.\n6. Substitute m = 11 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 22210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 12; x = m + 4; q = r + 17; z = k + 12; d = s + 8; l = q + 18; m = 11; k = a + 8; t = z + 12; v = t + 13; a = x + 16; g = m + 13; s = g + 10. If m = 11, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 1", "i": "p + 20", "d": "i + 1", "h": "d + 5", "m": "h + 3", "a": "m + 12", "o": "x + 17", "b": "o + 19", "j": "b + 9", "n": "j + 17", "k": "n + 3", "q": "k + 7", "x": 5}, "premises": {"x": 5}, "target": "a"}, "answer": {"steps": [["m", "h + 3", "h + 15"], ["h", "d + 5", "d + 20"], ["d", "i + 1", "i + 21"], ["i", "p + 20", "p + 41"], ["p", "x + 1", "x + 42"], ["x", 5, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"x": 5}, "is_reverse": true}} | 22,211 | 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 = x + 1; i = p + 20; q = k + 7; n = j + 17; j = b + 9; b = o + 19; o = x + 17; m = h + 3; a = m + 12; k = n + 3; d = i + 1; x = 5; h = d + 5. If x = 5, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 3 to a, which gives a = h + 15.\n2. Substitute h = d + 5 to a, which gives a = d + 20.\n3. Substitute d = i + 1 to a, which gives a = i + 21.\n4. Substitute i = p + 20 to a, which gives a = p + 41.\n5. Substitute p = x + 1 to a, which gives a = x + 42.\n6. Substitute x = 5 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 22211,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = x + 1; i = p + 20; q = k + 7; n = j + 17; j = b + 9; b = o + 19; o = x + 17; m = h + 3; a = m + 12; k = n + 3; d = i + 1; x = 5; h = d + 5. If x = 5, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 11", "p": "s + 5", "a": "p + 5", "m": "a + 2", "y": "m + 5", "h": "y + 16", "d": "e + 17", "k": "d + 4", "z": "k + 11", "r": "z + 9", "i": "r + 18", "u": "i + 2", "e": 4}, "premises": {"e": 4}, "target": "h"}, "answer": {"steps": [["y", "m + 5", "m + 21"], ["m", "a + 2", "a + 23"], ["a", "p + 5", "p + 28"], ["p", "s + 5", "s + 33"], ["s", "e + 11", "e + 44"], ["e", 4, "48"]], "target_var_name": "h", "target_value": 48, "value_dict": {"e": 4}, "is_reverse": true}} | 22,212 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = y + 16; k = d + 4; s = e + 11; d = e + 17; a = p + 5; p = s + 5; y = m + 5; i = r + 18; r = z + 9; e = 4; m = a + 2; u = i + 2; z = k + 11. If e = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 5 to h, which gives h = m + 21.\n2. Substitute m = a + 2 to h, which gives h = a + 23.\n3. Substitute a = p + 5 to h, which gives h = p + 28.\n4. Substitute p = s + 5 to h, which gives h = s + 33.\n5. Substitute s = e + 11 to h, which gives h = e + 44.\n6. Substitute e = 4 to h, which gives h = 48.\n\nThus, the final answer is h = \\boxed{48}.",
"index": 22212,
"question": "Consider a system of variables where each variable is defined as follows: h = y + 16; k = d + 4; s = e + 11; d = e + 17; a = p + 5; p = s + 5; y = m + 5; i = r + 18; r = z + 9; e = 4; m = a + 2; u = i + 2; z = k + 11. If e = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 6", "e": "g + 17", "w": "e + 11", "l": "w + 20", "a": "l + 20", "q": "a + 6", "x": "p + 12", "u": "x + 10", "v": "u + 17", "o": "v + 16", "i": "o + 11", "k": "i + 3", "p": 2}, "premises": {"p": 2}, "target": "q"}, "answer": {"steps": [["a", "l + 20", "l + 26"], ["l", "w + 20", "w + 46"], ["w", "e + 11", "e + 57"], ["e", "g + 17", "g + 74"], ["g", "p + 6", "p + 80"], ["p", 2, "82"]], "target_var_name": "q", "target_value": 82, "value_dict": {"p": 2}, "is_reverse": true}} | 22,213 | 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 = u + 17; l = w + 20; g = p + 6; x = p + 12; o = v + 16; i = o + 11; q = a + 6; k = i + 3; p = 2; u = x + 10; w = e + 11; a = l + 20; e = g + 17. If p = 2, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 20 to q, which gives q = l + 26.\n2. Substitute l = w + 20 to q, which gives q = w + 46.\n3. Substitute w = e + 11 to q, which gives q = e + 57.\n4. Substitute e = g + 17 to q, which gives q = g + 74.\n5. Substitute g = p + 6 to q, which gives q = p + 80.\n6. Substitute p = 2 to q, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 22213,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 17; l = w + 20; g = p + 6; x = p + 12; o = v + 16; i = o + 11; q = a + 6; k = i + 3; p = 2; u = x + 10; w = e + 11; a = l + 20; e = g + 17. If p = 2, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 4", "r": "t + 19", "x": "r + 11", "m": "x + 13", "z": "m + 1", "l": "z + 1", "b": "h + 4", "d": "b + 11", "u": "d + 14", "p": "u + 2", "n": "p + 12", "k": "n + 19", "h": 2}, "premises": {"h": 2}, "target": "l"}, "answer": {"steps": [["z", "m + 1", "m + 2"], ["m", "x + 13", "x + 15"], ["x", "r + 11", "r + 26"], ["r", "t + 19", "t + 45"], ["t", "h + 4", "h + 49"], ["h", 2, "51"]], "target_var_name": "l", "target_value": 51, "value_dict": {"h": 2}, "is_reverse": true}} | 22,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 4; u = d + 14; x = r + 11; r = t + 19; n = p + 12; m = x + 13; d = b + 11; p = u + 2; l = z + 1; h = 2; z = m + 1; t = h + 4; k = n + 19. Given that h = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 1 to l, which gives l = m + 2.\n2. Substitute m = x + 13 to l, which gives l = x + 15.\n3. Substitute x = r + 11 to l, which gives l = r + 26.\n4. Substitute r = t + 19 to l, which gives l = t + 45.\n5. Substitute t = h + 4 to l, which gives l = h + 49.\n6. Substitute h = 2 to l, which gives l = 51.\n\nThus, the final answer is l = \\boxed{51}.",
"index": 22214,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 4; u = d + 14; x = r + 11; r = t + 19; n = p + 12; m = x + 13; d = b + 11; p = u + 2; l = z + 1; h = 2; z = m + 1; t = h + 4; k = n + 19. Given that h = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 15", "l": "b + 8", "i": "l + 16", "v": "i + 16", "e": "v + 7", "h": "e + 12", "y": "d + 8", "n": "y + 17", "p": "n + 14", "m": "p + 11", "u": "m + 8", "g": "u + 10", "d": 16}, "premises": {"d": 16}, "target": "h"}, "answer": {"steps": [["e", "v + 7", "v + 19"], ["v", "i + 16", "i + 35"], ["i", "l + 16", "l + 51"], ["l", "b + 8", "b + 59"], ["b", "d + 15", "d + 74"], ["d", 16, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"d": 16}, "is_reverse": true}} | 22,215 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 8; u = m + 8; v = i + 16; l = b + 8; d = 16; i = l + 16; b = d + 15; e = v + 7; m = p + 11; h = e + 12; p = n + 14; g = u + 10; n = y + 17. If d = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 7 to h, which gives h = v + 19.\n2. Substitute v = i + 16 to h, which gives h = i + 35.\n3. Substitute i = l + 16 to h, which gives h = l + 51.\n4. Substitute l = b + 8 to h, which gives h = b + 59.\n5. Substitute b = d + 15 to h, which gives h = d + 74.\n6. Substitute d = 16 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 22215,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 8; u = m + 8; v = i + 16; l = b + 8; d = 16; i = l + 16; b = d + 15; e = v + 7; m = p + 11; h = e + 12; p = n + 14; g = u + 10; n = y + 17. If d = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 12", "g": "d + 5", "h": "g + 5", "t": "h + 11", "u": "t + 3", "x": "u + 3", "e": "f + 16", "o": "e + 2", "p": "o + 16", "k": "p + 13", "r": "k + 4", "n": "r + 2", "f": 2}, "premises": {"f": 2}, "target": "x"}, "answer": {"steps": [["u", "t + 3", "t + 6"], ["t", "h + 11", "h + 17"], ["h", "g + 5", "g + 22"], ["g", "d + 5", "d + 27"], ["d", "f + 12", "f + 39"], ["f", 2, "41"]], "target_var_name": "x", "target_value": 41, "value_dict": {"f": 2}, "is_reverse": true}} | 22,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 2; t = h + 11; g = d + 5; h = g + 5; r = k + 4; d = f + 12; p = o + 16; u = t + 3; o = e + 2; f = 2; k = p + 13; x = u + 3; e = f + 16. If f = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 3 to x, which gives x = t + 6.\n2. Substitute t = h + 11 to x, which gives x = h + 17.\n3. Substitute h = g + 5 to x, which gives x = g + 22.\n4. Substitute g = d + 5 to x, which gives x = d + 27.\n5. Substitute d = f + 12 to x, which gives x = f + 39.\n6. Substitute f = 2 to x, which gives x = 41.\n\nThus, the final answer is x = \\boxed{41}.",
"index": 22216,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 2; t = h + 11; g = d + 5; h = g + 5; r = k + 4; d = f + 12; p = o + 16; u = t + 3; o = e + 2; f = 2; k = p + 13; x = u + 3; e = f + 16. If f = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 3", "s": "k + 8", "h": "s + 6", "p": "h + 14", "r": "p + 8", "g": "r + 8", "t": "x + 9", "y": "t + 20", "e": "y + 10", "u": "e + 4", "l": "u + 9", "v": "l + 19", "x": 2}, "premises": {"x": 2}, "target": "g"}, "answer": {"steps": [["r", "p + 8", "p + 16"], ["p", "h + 14", "h + 30"], ["h", "s + 6", "s + 36"], ["s", "k + 8", "k + 44"], ["k", "x + 3", "x + 47"], ["x", 2, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"x": 2}, "is_reverse": true}} | 22,217 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 9; s = k + 8; x = 2; t = x + 9; g = r + 8; v = l + 19; k = x + 3; p = h + 14; r = p + 8; u = e + 4; h = s + 6; y = t + 20; e = y + 10. If x = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 8 to g, which gives g = p + 16.\n2. Substitute p = h + 14 to g, which gives g = h + 30.\n3. Substitute h = s + 6 to g, which gives g = s + 36.\n4. Substitute s = k + 8 to g, which gives g = k + 44.\n5. Substitute k = x + 3 to g, which gives g = x + 47.\n6. Substitute x = 2 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 22217,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 9; s = k + 8; x = 2; t = x + 9; g = r + 8; v = l + 19; k = x + 3; p = h + 14; r = p + 8; u = e + 4; h = s + 6; y = t + 20; e = y + 10. If x = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 7", "d": "r + 1", "g": "d + 11", "z": "g + 4", "u": "z + 10", "b": "u + 20", "a": "c + 3", "s": "a + 7", "j": "s + 12", "n": "j + 20", "x": "n + 8", "i": "x + 20", "c": 19}, "premises": {"c": 19}, "target": "b"}, "answer": {"steps": [["u", "z + 10", "z + 30"], ["z", "g + 4", "g + 34"], ["g", "d + 11", "d + 45"], ["d", "r + 1", "r + 46"], ["r", "c + 7", "c + 53"], ["c", 19, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"c": 19}, "is_reverse": true}} | 22,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 20; r = c + 7; j = s + 12; s = a + 7; c = 19; z = g + 4; a = c + 3; u = z + 10; i = x + 20; d = r + 1; b = u + 20; g = d + 11; x = n + 8. Given that c = 19, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 10 to b, which gives b = z + 30.\n2. Substitute z = g + 4 to b, which gives b = g + 34.\n3. Substitute g = d + 11 to b, which gives b = d + 45.\n4. Substitute d = r + 1 to b, which gives b = r + 46.\n5. Substitute r = c + 7 to b, which gives b = c + 53.\n6. Substitute c = 19 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 22218,
"question": "Suppose a collection of variables is related by the following definitions: n = j + 20; r = c + 7; j = s + 12; s = a + 7; c = 19; z = g + 4; a = c + 3; u = z + 10; i = x + 20; d = r + 1; b = u + 20; g = d + 11; x = n + 8. Given that c = 19, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 6", "s": "c + 16", "g": "s + 13", "k": "g + 8", "e": "k + 6", "o": "e + 8", "b": "p + 11", "r": "b + 11", "m": "r + 13", "v": "m + 19", "u": "v + 18", "x": "u + 12", "p": 7}, "premises": {"p": 7}, "target": "o"}, "answer": {"steps": [["e", "k + 6", "k + 14"], ["k", "g + 8", "g + 22"], ["g", "s + 13", "s + 35"], ["s", "c + 16", "c + 51"], ["c", "p + 6", "p + 57"], ["p", 7, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"p": 7}, "is_reverse": true}} | 22,219 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 13; p = 7; e = k + 6; g = s + 13; x = u + 12; r = b + 11; c = p + 6; u = v + 18; o = e + 8; v = m + 19; s = c + 16; b = p + 11; k = g + 8. If p = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 6 to o, which gives o = k + 14.\n2. Substitute k = g + 8 to o, which gives o = g + 22.\n3. Substitute g = s + 13 to o, which gives o = s + 35.\n4. Substitute s = c + 16 to o, which gives o = c + 51.\n5. Substitute c = p + 6 to o, which gives o = p + 57.\n6. Substitute p = 7 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 22219,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 13; p = 7; e = k + 6; g = s + 13; x = u + 12; r = b + 11; c = p + 6; u = v + 18; o = e + 8; v = m + 19; s = c + 16; b = p + 11; k = g + 8. If p = 7, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 14", "n": "j + 16", "g": "n + 4", "z": "g + 6", "x": "z + 10", "k": "x + 17", "a": "e + 15", "r": "a + 13", "f": "r + 19", "d": "f + 11", "m": "d + 13", "l": "m + 12", "e": 16}, "premises": {"e": 16}, "target": "k"}, "answer": {"steps": [["x", "z + 10", "z + 27"], ["z", "g + 6", "g + 33"], ["g", "n + 4", "n + 37"], ["n", "j + 16", "j + 53"], ["j", "e + 14", "e + 67"], ["e", 16, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"e": 16}, "is_reverse": true}} | 22,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 10; e = 16; d = f + 11; a = e + 15; f = r + 19; l = m + 12; z = g + 6; n = j + 16; r = a + 13; j = e + 14; k = x + 17; m = d + 13; g = n + 4. If e = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 10 to k, which gives k = z + 27.\n2. Substitute z = g + 6 to k, which gives k = g + 33.\n3. Substitute g = n + 4 to k, which gives k = n + 37.\n4. Substitute n = j + 16 to k, which gives k = j + 53.\n5. Substitute j = e + 14 to k, which gives k = e + 67.\n6. Substitute e = 16 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 22220,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 10; e = 16; d = f + 11; a = e + 15; f = r + 19; l = m + 12; z = g + 6; n = j + 16; r = a + 13; j = e + 14; k = x + 17; m = d + 13; g = n + 4. If e = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 7", "v": "t + 15", "n": "v + 12", "l": "n + 18", "u": "l + 2", "i": "u + 9", "c": "b + 11", "p": "c + 15", "h": "p + 9", "r": "h + 12", "x": "r + 12", "j": "x + 5", "b": 18}, "premises": {"b": 18}, "target": "i"}, "answer": {"steps": [["u", "l + 2", "l + 11"], ["l", "n + 18", "n + 29"], ["n", "v + 12", "v + 41"], ["v", "t + 15", "t + 56"], ["t", "b + 7", "b + 63"], ["b", 18, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"b": 18}, "is_reverse": true}} | 22,221 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 5; t = b + 7; r = h + 12; u = l + 2; c = b + 11; x = r + 12; n = v + 12; i = u + 9; b = 18; h = p + 9; v = t + 15; p = c + 15; l = n + 18. If b = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 2 to i, which gives i = l + 11.\n2. Substitute l = n + 18 to i, which gives i = n + 29.\n3. Substitute n = v + 12 to i, which gives i = v + 41.\n4. Substitute v = t + 15 to i, which gives i = t + 56.\n5. Substitute t = b + 7 to i, which gives i = b + 63.\n6. Substitute b = 18 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 22221,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 5; t = b + 7; r = h + 12; u = l + 2; c = b + 11; x = r + 12; n = v + 12; i = u + 9; b = 18; h = p + 9; v = t + 15; p = c + 15; l = n + 18. If b = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 14", "f": "b + 10", "o": "f + 3", "t": "o + 5", "d": "t + 18", "n": "d + 18", "h": "j + 6", "k": "h + 18", "x": "k + 16", "z": "x + 20", "e": "z + 9", "l": "e + 13", "j": 14}, "premises": {"j": 14}, "target": "n"}, "answer": {"steps": [["d", "t + 18", "t + 36"], ["t", "o + 5", "o + 41"], ["o", "f + 3", "f + 44"], ["f", "b + 10", "b + 54"], ["b", "j + 14", "j + 68"], ["j", 14, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"j": 14}, "is_reverse": true}} | 22,222 | 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 = d + 18; d = t + 18; b = j + 14; j = 14; o = f + 3; h = j + 6; f = b + 10; k = h + 18; z = x + 20; t = o + 5; x = k + 16; l = e + 13; e = z + 9. If j = 14, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 18 to n, which gives n = t + 36.\n2. Substitute t = o + 5 to n, which gives n = o + 41.\n3. Substitute o = f + 3 to n, which gives n = f + 44.\n4. Substitute f = b + 10 to n, which gives n = b + 54.\n5. Substitute b = j + 14 to n, which gives n = j + 68.\n6. Substitute j = 14 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 22222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = d + 18; d = t + 18; b = j + 14; j = 14; o = f + 3; h = j + 6; f = b + 10; k = h + 18; z = x + 20; t = o + 5; x = k + 16; l = e + 13; e = z + 9. If j = 14, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 17", "i": "u + 15", "b": "i + 15", "z": "b + 1", "e": "z + 7", "w": "e + 9", "s": "r + 8", "d": "s + 2", "v": "d + 10", "c": "v + 19", "n": "c + 7", "a": "n + 12", "r": 9}, "premises": {"r": 9}, "target": "w"}, "answer": {"steps": [["e", "z + 7", "z + 16"], ["z", "b + 1", "b + 17"], ["b", "i + 15", "i + 32"], ["i", "u + 15", "u + 47"], ["u", "r + 17", "r + 64"], ["r", 9, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"r": 9}, "is_reverse": true}} | 22,223 | 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 + 19; s = r + 8; b = i + 15; r = 9; u = r + 17; z = b + 1; d = s + 2; n = c + 7; a = n + 12; v = d + 10; i = u + 15; e = z + 7; w = e + 9. If r = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 7 to w, which gives w = z + 16.\n2. Substitute z = b + 1 to w, which gives w = b + 17.\n3. Substitute b = i + 15 to w, which gives w = i + 32.\n4. Substitute i = u + 15 to w, which gives w = u + 47.\n5. Substitute u = r + 17 to w, which gives w = r + 64.\n6. Substitute r = 9 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 22223,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = v + 19; s = r + 8; b = i + 15; r = 9; u = r + 17; z = b + 1; d = s + 2; n = c + 7; a = n + 12; v = d + 10; i = u + 15; e = z + 7; w = e + 9. If r = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 7", "p": "l + 20", "c": "p + 5", "k": "c + 18", "t": "k + 18", "u": "t + 8", "d": "y + 3", "w": "d + 17", "x": "w + 13", "v": "x + 17", "f": "v + 7", "s": "f + 1", "y": 2}, "premises": {"y": 2}, "target": "u"}, "answer": {"steps": [["t", "k + 18", "k + 26"], ["k", "c + 18", "c + 44"], ["c", "p + 5", "p + 49"], ["p", "l + 20", "l + 69"], ["l", "y + 7", "y + 76"], ["y", 2, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"y": 2}, "is_reverse": true}} | 22,224 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 8; w = d + 17; d = y + 3; x = w + 13; s = f + 1; f = v + 7; c = p + 5; l = y + 7; y = 2; p = l + 20; t = k + 18; v = x + 17; k = c + 18. If y = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 18 to u, which gives u = k + 26.\n2. Substitute k = c + 18 to u, which gives u = c + 44.\n3. Substitute c = p + 5 to u, which gives u = p + 49.\n4. Substitute p = l + 20 to u, which gives u = l + 69.\n5. Substitute l = y + 7 to u, which gives u = y + 76.\n6. Substitute y = 2 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 22224,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 8; w = d + 17; d = y + 3; x = w + 13; s = f + 1; f = v + 7; c = p + 5; l = y + 7; y = 2; p = l + 20; t = k + 18; v = x + 17; k = c + 18. If y = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 20", "w": "e + 4", "p": "w + 5", "i": "p + 13", "k": "i + 6", "u": "k + 4", "h": "n + 17", "l": "h + 7", "g": "l + 12", "c": "g + 7", "j": "c + 10", "f": "j + 12", "n": 7}, "premises": {"n": 7}, "target": "u"}, "answer": {"steps": [["k", "i + 6", "i + 10"], ["i", "p + 13", "p + 23"], ["p", "w + 5", "w + 28"], ["w", "e + 4", "e + 32"], ["e", "n + 20", "n + 52"], ["n", 7, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"n": 7}, "is_reverse": true}} | 22,225 | 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 = p + 13; h = n + 17; n = 7; g = l + 12; f = j + 12; l = h + 7; w = e + 4; k = i + 6; j = c + 10; c = g + 7; p = w + 5; u = k + 4; e = n + 20. If n = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 6 to u, which gives u = i + 10.\n2. Substitute i = p + 13 to u, which gives u = p + 23.\n3. Substitute p = w + 5 to u, which gives u = w + 28.\n4. Substitute w = e + 4 to u, which gives u = e + 32.\n5. Substitute e = n + 20 to u, which gives u = n + 52.\n6. Substitute n = 7 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 22225,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 13; h = n + 17; n = 7; g = l + 12; f = j + 12; l = h + 7; w = e + 4; k = i + 6; j = c + 10; c = g + 7; p = w + 5; u = k + 4; e = n + 20. If n = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 16", "k": "c + 19", "j": "k + 18", "y": "j + 13", "m": "y + 20", "p": "m + 14", "n": "t + 4", "r": "n + 20", "v": "r + 1", "b": "v + 11", "d": "b + 18", "h": "d + 2", "t": 11}, "premises": {"t": 11}, "target": "p"}, "answer": {"steps": [["m", "y + 20", "y + 34"], ["y", "j + 13", "j + 47"], ["j", "k + 18", "k + 65"], ["k", "c + 19", "c + 84"], ["c", "t + 16", "t + 100"], ["t", 11, "111"]], "target_var_name": "p", "target_value": 111, "value_dict": {"t": 11}, "is_reverse": true}} | 22,226 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 11; b = v + 11; c = t + 16; d = b + 18; n = t + 4; r = n + 20; h = d + 2; j = k + 18; y = j + 13; m = y + 20; v = r + 1; k = c + 19; p = m + 14. Given that t = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 20 to p, which gives p = y + 34.\n2. Substitute y = j + 13 to p, which gives p = j + 47.\n3. Substitute j = k + 18 to p, which gives p = k + 65.\n4. Substitute k = c + 19 to p, which gives p = c + 84.\n5. Substitute c = t + 16 to p, which gives p = t + 100.\n6. Substitute t = 11 to p, which gives p = 111.\n\nThus, the final answer is p = \\boxed{111}.",
"index": 22226,
"question": "Suppose a collection of variables is related by the following definitions: t = 11; b = v + 11; c = t + 16; d = b + 18; n = t + 4; r = n + 20; h = d + 2; j = k + 18; y = j + 13; m = y + 20; v = r + 1; k = c + 19; p = m + 14. Given that t = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 3", "m": "w + 13", "c": "m + 4", "n": "c + 10", "d": "n + 8", "y": "d + 18", "q": "k + 17", "i": "q + 15", "j": "i + 18", "u": "j + 15", "l": "u + 3", "s": "l + 9", "k": 8}, "premises": {"k": 8}, "target": "y"}, "answer": {"steps": [["d", "n + 8", "n + 26"], ["n", "c + 10", "c + 36"], ["c", "m + 4", "m + 40"], ["m", "w + 13", "w + 53"], ["w", "k + 3", "k + 56"], ["k", 8, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"k": 8}, "is_reverse": true}} | 22,227 | 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 = u + 3; n = c + 10; i = q + 15; k = 8; j = i + 18; q = k + 17; y = d + 18; u = j + 15; d = n + 8; s = l + 9; c = m + 4; m = w + 13; w = k + 3. If k = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 8 to y, which gives y = n + 26.\n2. Substitute n = c + 10 to y, which gives y = c + 36.\n3. Substitute c = m + 4 to y, which gives y = m + 40.\n4. Substitute m = w + 13 to y, which gives y = w + 53.\n5. Substitute w = k + 3 to y, which gives y = k + 56.\n6. Substitute k = 8 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 22227,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 3; n = c + 10; i = q + 15; k = 8; j = i + 18; q = k + 17; y = d + 18; u = j + 15; d = n + 8; s = l + 9; c = m + 4; m = w + 13; w = k + 3. If k = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 6", "v": "b + 10", "e": "v + 10", "m": "e + 7", "r": "m + 17", "g": "r + 12", "z": "j + 8", "i": "z + 7", "t": "i + 20", "s": "t + 8", "k": "s + 13", "f": "k + 4", "j": 10}, "premises": {"j": 10}, "target": "g"}, "answer": {"steps": [["r", "m + 17", "m + 29"], ["m", "e + 7", "e + 36"], ["e", "v + 10", "v + 46"], ["v", "b + 10", "b + 56"], ["b", "j + 6", "j + 62"], ["j", 10, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"j": 10}, "is_reverse": true}} | 22,228 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 7; f = k + 4; j = 10; t = i + 20; v = b + 10; g = r + 12; z = j + 8; k = s + 13; s = t + 8; e = v + 10; m = e + 7; b = j + 6; r = m + 17. Given that j = 10, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 17 to g, which gives g = m + 29.\n2. Substitute m = e + 7 to g, which gives g = e + 36.\n3. Substitute e = v + 10 to g, which gives g = v + 46.\n4. Substitute v = b + 10 to g, which gives g = b + 56.\n5. Substitute b = j + 6 to g, which gives g = j + 62.\n6. Substitute j = 10 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 22228,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 7; f = k + 4; j = 10; t = i + 20; v = b + 10; g = r + 12; z = j + 8; k = s + 13; s = t + 8; e = v + 10; m = e + 7; b = j + 6; r = m + 17. Given that j = 10, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 19", "v": "l + 17", "f": "v + 13", "y": "f + 18", "r": "y + 9", "n": "r + 9", "c": "m + 4", "q": "c + 15", "u": "q + 14", "k": "u + 14", "j": "k + 18", "b": "j + 12", "m": 4}, "premises": {"m": 4}, "target": "n"}, "answer": {"steps": [["r", "y + 9", "y + 18"], ["y", "f + 18", "f + 36"], ["f", "v + 13", "v + 49"], ["v", "l + 17", "l + 66"], ["l", "m + 19", "m + 85"], ["m", 4, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"m": 4}, "is_reverse": true}} | 22,229 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 9; f = v + 13; l = m + 19; b = j + 12; r = y + 9; j = k + 18; m = 4; v = l + 17; q = c + 15; u = q + 14; c = m + 4; k = u + 14; y = f + 18. If m = 4, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 9 to n, which gives n = y + 18.\n2. Substitute y = f + 18 to n, which gives n = f + 36.\n3. Substitute f = v + 13 to n, which gives n = v + 49.\n4. Substitute v = l + 17 to n, which gives n = l + 66.\n5. Substitute l = m + 19 to n, which gives n = m + 85.\n6. Substitute m = 4 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 22229,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 9; f = v + 13; l = m + 19; b = j + 12; r = y + 9; j = k + 18; m = 4; v = l + 17; q = c + 15; u = q + 14; c = m + 4; k = u + 14; y = f + 18. If m = 4, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 19", "u": "p + 9", "y": "u + 7", "g": "y + 20", "j": "g + 12", "q": "j + 20", "b": "c + 18", "d": "b + 10", "t": "d + 1", "x": "t + 8", "i": "x + 18", "e": "i + 15", "c": 18}, "premises": {"c": 18}, "target": "q"}, "answer": {"steps": [["j", "g + 12", "g + 32"], ["g", "y + 20", "y + 52"], ["y", "u + 7", "u + 59"], ["u", "p + 9", "p + 68"], ["p", "c + 19", "c + 87"], ["c", 18, "105"]], "target_var_name": "q", "target_value": 105, "value_dict": {"c": 18}, "is_reverse": true}} | 22,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 7; g = y + 20; j = g + 12; q = j + 20; p = c + 19; i = x + 18; c = 18; u = p + 9; t = d + 1; b = c + 18; x = t + 8; e = i + 15; d = b + 10. If c = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 12 to q, which gives q = g + 32.\n2. Substitute g = y + 20 to q, which gives q = y + 52.\n3. Substitute y = u + 7 to q, which gives q = u + 59.\n4. Substitute u = p + 9 to q, which gives q = p + 68.\n5. Substitute p = c + 19 to q, which gives q = c + 87.\n6. Substitute c = 18 to q, which gives q = 105.\n\nThus, the final answer is q = \\boxed{105}.",
"index": 22230,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 7; g = y + 20; j = g + 12; q = j + 20; p = c + 19; i = x + 18; c = 18; u = p + 9; t = d + 1; b = c + 18; x = t + 8; e = i + 15; d = b + 10. If c = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 13", "a": "z + 12", "l": "a + 17", "j": "l + 19", "w": "j + 13", "u": "w + 8", "e": "k + 7", "f": "e + 15", "m": "f + 16", "s": "m + 2", "x": "s + 3", "i": "x + 8", "k": 6}, "premises": {"k": 6}, "target": "u"}, "answer": {"steps": [["w", "j + 13", "j + 21"], ["j", "l + 19", "l + 40"], ["l", "a + 17", "a + 57"], ["a", "z + 12", "z + 69"], ["z", "k + 13", "k + 82"], ["k", 6, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"k": 6}, "is_reverse": true}} | 22,231 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = s + 3; e = k + 7; j = l + 19; l = a + 17; s = m + 2; i = x + 8; w = j + 13; a = z + 12; z = k + 13; m = f + 16; k = 6; u = w + 8; f = e + 15. If k = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 13 to u, which gives u = j + 21.\n2. Substitute j = l + 19 to u, which gives u = l + 40.\n3. Substitute l = a + 17 to u, which gives u = a + 57.\n4. Substitute a = z + 12 to u, which gives u = z + 69.\n5. Substitute z = k + 13 to u, which gives u = k + 82.\n6. Substitute k = 6 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 22231,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 3; e = k + 7; j = l + 19; l = a + 17; s = m + 2; i = x + 8; w = j + 13; a = z + 12; z = k + 13; m = f + 16; k = 6; u = w + 8; f = e + 15. If k = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 5", "p": "o + 19", "j": "p + 6", "n": "j + 7", "i": "n + 10", "k": "i + 19", "z": "d + 6", "e": "z + 8", "v": "e + 17", "w": "v + 4", "b": "w + 12", "l": "b + 5", "d": 5}, "premises": {"d": 5}, "target": "k"}, "answer": {"steps": [["i", "n + 10", "n + 29"], ["n", "j + 7", "j + 36"], ["j", "p + 6", "p + 42"], ["p", "o + 19", "o + 61"], ["o", "d + 5", "d + 66"], ["d", 5, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"d": 5}, "is_reverse": true}} | 22,232 | 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 = 5; l = b + 5; e = z + 8; j = p + 6; i = n + 10; n = j + 7; v = e + 17; k = i + 19; b = w + 12; w = v + 4; z = d + 6; p = o + 19; o = d + 5. If d = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 10 to k, which gives k = n + 29.\n2. Substitute n = j + 7 to k, which gives k = j + 36.\n3. Substitute j = p + 6 to k, which gives k = p + 42.\n4. Substitute p = o + 19 to k, which gives k = o + 61.\n5. Substitute o = d + 5 to k, which gives k = d + 66.\n6. Substitute d = 5 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 22232,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 5; l = b + 5; e = z + 8; j = p + 6; i = n + 10; n = j + 7; v = e + 17; k = i + 19; b = w + 12; w = v + 4; z = d + 6; p = o + 19; o = d + 5. If d = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 17", "e": "l + 15", "d": "e + 15", "j": "d + 12", "t": "j + 1", "q": "t + 16", "i": "n + 19", "c": "i + 3", "p": "c + 3", "o": "p + 17", "x": "o + 14", "u": "x + 18", "n": 12}, "premises": {"n": 12}, "target": "q"}, "answer": {"steps": [["t", "j + 1", "j + 17"], ["j", "d + 12", "d + 29"], ["d", "e + 15", "e + 44"], ["e", "l + 15", "l + 59"], ["l", "n + 17", "n + 76"], ["n", 12, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"n": 12}, "is_reverse": true}} | 22,233 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 3; t = j + 1; x = o + 14; j = d + 12; o = p + 17; q = t + 16; e = l + 15; d = e + 15; i = n + 19; u = x + 18; n = 12; c = i + 3; l = n + 17. Given that n = 12, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 1 to q, which gives q = j + 17.\n2. Substitute j = d + 12 to q, which gives q = d + 29.\n3. Substitute d = e + 15 to q, which gives q = e + 44.\n4. Substitute e = l + 15 to q, which gives q = l + 59.\n5. Substitute l = n + 17 to q, which gives q = n + 76.\n6. Substitute n = 12 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 22233,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 3; t = j + 1; x = o + 14; j = d + 12; o = p + 17; q = t + 16; e = l + 15; d = e + 15; i = n + 19; u = x + 18; n = 12; c = i + 3; l = n + 17. Given that n = 12, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 11", "p": "w + 8", "y": "p + 16", "x": "y + 12", "h": "x + 17", "c": "h + 16", "m": "d + 11", "s": "m + 6", "j": "s + 1", "l": "j + 5", "g": "l + 16", "u": "g + 6", "d": 19}, "premises": {"d": 19}, "target": "c"}, "answer": {"steps": [["h", "x + 17", "x + 33"], ["x", "y + 12", "y + 45"], ["y", "p + 16", "p + 61"], ["p", "w + 8", "w + 69"], ["w", "d + 11", "d + 80"], ["d", 19, "99"]], "target_var_name": "c", "target_value": 99, "value_dict": {"d": 19}, "is_reverse": true}} | 22,234 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 17; x = y + 12; l = j + 5; c = h + 16; s = m + 6; j = s + 1; g = l + 16; d = 19; y = p + 16; p = w + 8; u = g + 6; m = d + 11; w = d + 11. Given that d = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 17 to c, which gives c = x + 33.\n2. Substitute x = y + 12 to c, which gives c = y + 45.\n3. Substitute y = p + 16 to c, which gives c = p + 61.\n4. Substitute p = w + 8 to c, which gives c = w + 69.\n5. Substitute w = d + 11 to c, which gives c = d + 80.\n6. Substitute d = 19 to c, which gives c = 99.\n\nThus, the final answer is c = \\boxed{99}.",
"index": 22234,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 17; x = y + 12; l = j + 5; c = h + 16; s = m + 6; j = s + 1; g = l + 16; d = 19; y = p + 16; p = w + 8; u = g + 6; m = d + 11; w = d + 11. Given that d = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 8", "g": "v + 16", "j": "g + 6", "b": "j + 15", "s": "b + 11", "n": "s + 16", "h": "r + 17", "e": "h + 15", "u": "e + 12", "m": "u + 12", "p": "m + 17", "w": "p + 13", "r": 15}, "premises": {"r": 15}, "target": "n"}, "answer": {"steps": [["s", "b + 11", "b + 27"], ["b", "j + 15", "j + 42"], ["j", "g + 6", "g + 48"], ["g", "v + 16", "v + 64"], ["v", "r + 8", "r + 72"], ["r", 15, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"r": 15}, "is_reverse": true}} | 22,235 | 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 = h + 15; p = m + 17; n = s + 16; u = e + 12; h = r + 17; v = r + 8; b = j + 15; m = u + 12; s = b + 11; w = p + 13; j = g + 6; g = v + 16; r = 15. If r = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 11 to n, which gives n = b + 27.\n2. Substitute b = j + 15 to n, which gives n = j + 42.\n3. Substitute j = g + 6 to n, which gives n = g + 48.\n4. Substitute g = v + 16 to n, which gives n = v + 64.\n5. Substitute v = r + 8 to n, which gives n = r + 72.\n6. Substitute r = 15 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 22235,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 15; p = m + 17; n = s + 16; u = e + 12; h = r + 17; v = r + 8; b = j + 15; m = u + 12; s = b + 11; w = p + 13; j = g + 6; g = v + 16; r = 15. If r = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 19", "s": "y + 20", "w": "s + 15", "g": "w + 6", "u": "g + 8", "o": "u + 2", "k": "v + 18", "h": "k + 6", "l": "h + 5", "r": "l + 19", "x": "r + 6", "j": "x + 15", "v": 20}, "premises": {"v": 20}, "target": "o"}, "answer": {"steps": [["u", "g + 8", "g + 10"], ["g", "w + 6", "w + 16"], ["w", "s + 15", "s + 31"], ["s", "y + 20", "y + 51"], ["y", "v + 19", "v + 70"], ["v", 20, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"v": 20}, "is_reverse": true}} | 22,236 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 6; x = r + 6; y = v + 19; s = y + 20; k = v + 18; o = u + 2; l = h + 5; v = 20; u = g + 8; r = l + 19; h = k + 6; j = x + 15; w = s + 15. If v = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 8 to o, which gives o = g + 10.\n2. Substitute g = w + 6 to o, which gives o = w + 16.\n3. Substitute w = s + 15 to o, which gives o = s + 31.\n4. Substitute s = y + 20 to o, which gives o = y + 51.\n5. Substitute y = v + 19 to o, which gives o = v + 70.\n6. Substitute v = 20 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 22236,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 6; x = r + 6; y = v + 19; s = y + 20; k = v + 18; o = u + 2; l = h + 5; v = 20; u = g + 8; r = l + 19; h = k + 6; j = x + 15; w = s + 15. If v = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 12", "y": "l + 20", "a": "y + 12", "f": "a + 13", "q": "f + 2", "g": "q + 15", "w": "b + 12", "j": "w + 16", "p": "j + 1", "o": "p + 20", "z": "o + 10", "h": "z + 4", "b": 15}, "premises": {"b": 15}, "target": "g"}, "answer": {"steps": [["q", "f + 2", "f + 17"], ["f", "a + 13", "a + 30"], ["a", "y + 12", "y + 42"], ["y", "l + 20", "l + 62"], ["l", "b + 12", "b + 74"], ["b", 15, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"b": 15}, "is_reverse": true}} | 22,237 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 13; g = q + 15; h = z + 4; j = w + 16; y = l + 20; z = o + 10; a = y + 12; l = b + 12; b = 15; q = f + 2; p = j + 1; o = p + 20; w = b + 12. If b = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 2 to g, which gives g = f + 17.\n2. Substitute f = a + 13 to g, which gives g = a + 30.\n3. Substitute a = y + 12 to g, which gives g = y + 42.\n4. Substitute y = l + 20 to g, which gives g = l + 62.\n5. Substitute l = b + 12 to g, which gives g = b + 74.\n6. Substitute b = 15 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 22237,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 13; g = q + 15; h = z + 4; j = w + 16; y = l + 20; z = o + 10; a = y + 12; l = b + 12; b = 15; q = f + 2; p = j + 1; o = p + 20; w = b + 12. If b = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 20", "x": "m + 6", "e": "x + 16", "s": "e + 15", "w": "s + 3", "n": "w + 8", "h": "t + 2", "a": "h + 1", "y": "a + 7", "g": "y + 5", "p": "g + 18", "v": "p + 2", "t": 15}, "premises": {"t": 15}, "target": "n"}, "answer": {"steps": [["w", "s + 3", "s + 11"], ["s", "e + 15", "e + 26"], ["e", "x + 16", "x + 42"], ["x", "m + 6", "m + 48"], ["m", "t + 20", "t + 68"], ["t", 15, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"t": 15}, "is_reverse": true}} | 22,238 | 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 = h + 1; m = t + 20; w = s + 3; h = t + 2; g = y + 5; t = 15; s = e + 15; v = p + 2; y = a + 7; p = g + 18; e = x + 16; x = m + 6; n = w + 8. If t = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 3 to n, which gives n = s + 11.\n2. Substitute s = e + 15 to n, which gives n = e + 26.\n3. Substitute e = x + 16 to n, which gives n = x + 42.\n4. Substitute x = m + 6 to n, which gives n = m + 48.\n5. Substitute m = t + 20 to n, which gives n = t + 68.\n6. Substitute t = 15 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 22238,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 1; m = t + 20; w = s + 3; h = t + 2; g = y + 5; t = 15; s = e + 15; v = p + 2; y = a + 7; p = g + 18; e = x + 16; x = m + 6; n = w + 8. If t = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 10", "q": "b + 3", "w": "q + 1", "i": "w + 3", "v": "i + 9", "r": "v + 10", "k": "o + 5", "d": "k + 13", "c": "d + 13", "u": "c + 3", "a": "u + 11", "t": "a + 2", "o": 13}, "premises": {"o": 13}, "target": "r"}, "answer": {"steps": [["v", "i + 9", "i + 19"], ["i", "w + 3", "w + 22"], ["w", "q + 1", "q + 23"], ["q", "b + 3", "b + 26"], ["b", "o + 10", "o + 36"], ["o", 13, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"o": 13}, "is_reverse": true}} | 22,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 3; i = w + 3; d = k + 13; a = u + 11; w = q + 1; b = o + 10; u = c + 3; k = o + 5; t = a + 2; o = 13; v = i + 9; c = d + 13; r = v + 10. If o = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 9 to r, which gives r = i + 19.\n2. Substitute i = w + 3 to r, which gives r = w + 22.\n3. Substitute w = q + 1 to r, which gives r = q + 23.\n4. Substitute q = b + 3 to r, which gives r = b + 26.\n5. Substitute b = o + 10 to r, which gives r = o + 36.\n6. Substitute o = 13 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 22239,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 3; i = w + 3; d = k + 13; a = u + 11; w = q + 1; b = o + 10; u = c + 3; k = o + 5; t = a + 2; o = 13; v = i + 9; c = d + 13; r = v + 10. If o = 13, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 5", "f": "q + 19", "b": "f + 3", "j": "b + 15", "v": "j + 7", "k": "v + 12", "o": "e + 17", "g": "o + 17", "a": "g + 8", "w": "a + 15", "r": "w + 5", "p": "r + 17", "e": 3}, "premises": {"e": 3}, "target": "k"}, "answer": {"steps": [["v", "j + 7", "j + 19"], ["j", "b + 15", "b + 34"], ["b", "f + 3", "f + 37"], ["f", "q + 19", "q + 56"], ["q", "e + 5", "e + 61"], ["e", 3, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"e": 3}, "is_reverse": true}} | 22,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 17; q = e + 5; v = j + 7; p = r + 17; w = a + 15; b = f + 3; r = w + 5; a = g + 8; f = q + 19; k = v + 12; g = o + 17; j = b + 15; e = 3. If e = 3, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 7 to k, which gives k = j + 19.\n2. Substitute j = b + 15 to k, which gives k = b + 34.\n3. Substitute b = f + 3 to k, which gives k = f + 37.\n4. Substitute f = q + 19 to k, which gives k = q + 56.\n5. Substitute q = e + 5 to k, which gives k = e + 61.\n6. Substitute e = 3 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 22240,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 17; q = e + 5; v = j + 7; p = r + 17; w = a + 15; b = f + 3; r = w + 5; a = g + 8; f = q + 19; k = v + 12; g = o + 17; j = b + 15; e = 3. If e = 3, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 5", "x": "i + 15", "m": "x + 1", "p": "m + 6", "w": "p + 9", "u": "w + 17", "s": "l + 9", "k": "s + 18", "v": "k + 2", "f": "v + 19", "r": "f + 10", "b": "r + 7", "l": 14}, "premises": {"l": 14}, "target": "u"}, "answer": {"steps": [["w", "p + 9", "p + 26"], ["p", "m + 6", "m + 32"], ["m", "x + 1", "x + 33"], ["x", "i + 15", "i + 48"], ["i", "l + 5", "l + 53"], ["l", 14, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"l": 14}, "is_reverse": true}} | 22,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = w + 17; l = 14; x = i + 15; m = x + 1; f = v + 19; k = s + 18; i = l + 5; s = l + 9; v = k + 2; w = p + 9; r = f + 10; b = r + 7; p = m + 6. If l = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 9 to u, which gives u = p + 26.\n2. Substitute p = m + 6 to u, which gives u = m + 32.\n3. Substitute m = x + 1 to u, which gives u = x + 33.\n4. Substitute x = i + 15 to u, which gives u = i + 48.\n5. Substitute i = l + 5 to u, which gives u = l + 53.\n6. Substitute l = 14 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 22241,
"question": "Consider a system of variables where each variable is defined as follows: u = w + 17; l = 14; x = i + 15; m = x + 1; f = v + 19; k = s + 18; i = l + 5; s = l + 9; v = k + 2; w = p + 9; r = f + 10; b = r + 7; p = m + 6. If l = 14, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 14", "a": "f + 12", "h": "a + 9", "w": "h + 10", "y": "w + 6", "n": "y + 2", "s": "z + 11", "t": "s + 5", "c": "t + 12", "l": "c + 14", "d": "l + 12", "x": "d + 14", "z": 6}, "premises": {"z": 6}, "target": "n"}, "answer": {"steps": [["y", "w + 6", "w + 8"], ["w", "h + 10", "h + 18"], ["h", "a + 9", "a + 27"], ["a", "f + 12", "f + 39"], ["f", "z + 14", "z + 53"], ["z", 6, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"z": 6}, "is_reverse": true}} | 22,242 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = z + 14; n = y + 2; h = a + 9; w = h + 10; z = 6; c = t + 12; x = d + 14; d = l + 12; y = w + 6; l = c + 14; t = s + 5; a = f + 12; s = z + 11. If z = 6, determine 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 y = w + 6 to n, which gives n = w + 8.\n2. Substitute w = h + 10 to n, which gives n = h + 18.\n3. Substitute h = a + 9 to n, which gives n = a + 27.\n4. Substitute a = f + 12 to n, which gives n = f + 39.\n5. Substitute f = z + 14 to n, which gives n = z + 53.\n6. Substitute z = 6 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 22242,
"question": "Consider a system of variables where each variable is defined as follows: f = z + 14; n = y + 2; h = a + 9; w = h + 10; z = 6; c = t + 12; x = d + 14; d = l + 12; y = w + 6; l = c + 14; t = s + 5; a = f + 12; s = z + 11. If z = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 19", "j": "w + 7", "m": "j + 14", "u": "m + 16", "p": "u + 8", "l": "p + 10", "h": "x + 10", "q": "h + 16", "a": "q + 6", "v": "a + 5", "k": "v + 2", "n": "k + 17", "x": 2}, "premises": {"x": 2}, "target": "l"}, "answer": {"steps": [["p", "u + 8", "u + 18"], ["u", "m + 16", "m + 34"], ["m", "j + 14", "j + 48"], ["j", "w + 7", "w + 55"], ["w", "x + 19", "x + 74"], ["x", 2, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"x": 2}, "is_reverse": true}} | 22,243 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 2; p = u + 8; q = h + 16; v = a + 5; k = v + 2; h = x + 10; l = p + 10; m = j + 14; j = w + 7; u = m + 16; a = q + 6; n = k + 17; w = x + 19. Given that x = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 8 to l, which gives l = u + 18.\n2. Substitute u = m + 16 to l, which gives l = m + 34.\n3. Substitute m = j + 14 to l, which gives l = j + 48.\n4. Substitute j = w + 7 to l, which gives l = w + 55.\n5. Substitute w = x + 19 to l, which gives l = x + 74.\n6. Substitute x = 2 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 22243,
"question": "Suppose a collection of variables is related by the following definitions: x = 2; p = u + 8; q = h + 16; v = a + 5; k = v + 2; h = x + 10; l = p + 10; m = j + 14; j = w + 7; u = m + 16; a = q + 6; n = k + 17; w = x + 19. Given that x = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 11", "x": "h + 20", "u": "x + 15", "d": "u + 10", "p": "d + 13", "w": "p + 6", "b": "y + 14", "v": "b + 16", "n": "v + 18", "o": "n + 5", "j": "o + 7", "f": "j + 9", "y": 2}, "premises": {"y": 2}, "target": "w"}, "answer": {"steps": [["p", "d + 13", "d + 19"], ["d", "u + 10", "u + 29"], ["u", "x + 15", "x + 44"], ["x", "h + 20", "h + 64"], ["h", "y + 11", "y + 75"], ["y", 2, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"y": 2}, "is_reverse": true}} | 22,244 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = h + 20; p = d + 13; v = b + 16; n = v + 18; u = x + 15; j = o + 7; f = j + 9; y = 2; h = y + 11; o = n + 5; d = u + 10; w = p + 6; b = y + 14. Given that y = 2, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 13 to w, which gives w = d + 19.\n2. Substitute d = u + 10 to w, which gives w = u + 29.\n3. Substitute u = x + 15 to w, which gives w = x + 44.\n4. Substitute x = h + 20 to w, which gives w = h + 64.\n5. Substitute h = y + 11 to w, which gives w = y + 75.\n6. Substitute y = 2 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 22244,
"question": "Suppose a collection of variables is related by the following definitions: x = h + 20; p = d + 13; v = b + 16; n = v + 18; u = x + 15; j = o + 7; f = j + 9; y = 2; h = y + 11; o = n + 5; d = u + 10; w = p + 6; b = y + 14. Given that y = 2, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 20", "o": "r + 10", "v": "o + 7", "h": "v + 18", "f": "h + 1", "e": "f + 2", "t": "g + 3", "d": "t + 12", "p": "d + 5", "y": "p + 8", "s": "y + 15", "a": "s + 3", "g": 16}, "premises": {"g": 16}, "target": "e"}, "answer": {"steps": [["f", "h + 1", "h + 3"], ["h", "v + 18", "v + 21"], ["v", "o + 7", "o + 28"], ["o", "r + 10", "r + 38"], ["r", "g + 20", "g + 58"], ["g", 16, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"g": 16}, "is_reverse": true}} | 22,245 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 5; t = g + 3; o = r + 10; y = p + 8; h = v + 18; a = s + 3; f = h + 1; g = 16; v = o + 7; s = y + 15; e = f + 2; d = t + 12; r = g + 20. Given that g = 16, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 1 to e, which gives e = h + 3.\n2. Substitute h = v + 18 to e, which gives e = v + 21.\n3. Substitute v = o + 7 to e, which gives e = o + 28.\n4. Substitute o = r + 10 to e, which gives e = r + 38.\n5. Substitute r = g + 20 to e, which gives e = g + 58.\n6. Substitute g = 16 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 22245,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 5; t = g + 3; o = r + 10; y = p + 8; h = v + 18; a = s + 3; f = h + 1; g = 16; v = o + 7; s = y + 15; e = f + 2; d = t + 12; r = g + 20. Given that g = 16, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 1", "v": "a + 14", "c": "v + 8", "h": "c + 18", "w": "h + 18", "m": "w + 6", "y": "s + 2", "e": "y + 16", "r": "e + 2", "l": "r + 4", "i": "l + 12", "k": "i + 2", "s": 14}, "premises": {"s": 14}, "target": "m"}, "answer": {"steps": [["w", "h + 18", "h + 24"], ["h", "c + 18", "c + 42"], ["c", "v + 8", "v + 50"], ["v", "a + 14", "a + 64"], ["a", "s + 1", "s + 65"], ["s", 14, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"s": 14}, "is_reverse": true}} | 22,246 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 8; e = y + 16; m = w + 6; r = e + 2; s = 14; k = i + 2; y = s + 2; h = c + 18; v = a + 14; w = h + 18; a = s + 1; i = l + 12; l = r + 4. If s = 14, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 18 to m, which gives m = h + 24.\n2. Substitute h = c + 18 to m, which gives m = c + 42.\n3. Substitute c = v + 8 to m, which gives m = v + 50.\n4. Substitute v = a + 14 to m, which gives m = a + 64.\n5. Substitute a = s + 1 to m, which gives m = s + 65.\n6. Substitute s = 14 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 22246,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 8; e = y + 16; m = w + 6; r = e + 2; s = 14; k = i + 2; y = s + 2; h = c + 18; v = a + 14; w = h + 18; a = s + 1; i = l + 12; l = r + 4. If s = 14, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 3", "b": "h + 16", "v": "b + 11", "e": "v + 2", "i": "e + 5", "p": "i + 13", "q": "g + 19", "c": "q + 13", "d": "c + 7", "m": "d + 2", "x": "m + 15", "y": "x + 6", "g": 18}, "premises": {"g": 18}, "target": "p"}, "answer": {"steps": [["i", "e + 5", "e + 18"], ["e", "v + 2", "v + 20"], ["v", "b + 11", "b + 31"], ["b", "h + 16", "h + 47"], ["h", "g + 3", "g + 50"], ["g", 18, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"g": 18}, "is_reverse": true}} | 22,247 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 3; x = m + 15; d = c + 7; b = h + 16; v = b + 11; e = v + 2; m = d + 2; g = 18; p = i + 13; y = x + 6; c = q + 13; i = e + 5; q = g + 19. Given that g = 18, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 5 to p, which gives p = e + 18.\n2. Substitute e = v + 2 to p, which gives p = v + 20.\n3. Substitute v = b + 11 to p, which gives p = b + 31.\n4. Substitute b = h + 16 to p, which gives p = h + 47.\n5. Substitute h = g + 3 to p, which gives p = g + 50.\n6. Substitute g = 18 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 22247,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 3; x = m + 15; d = c + 7; b = h + 16; v = b + 11; e = v + 2; m = d + 2; g = 18; p = i + 13; y = x + 6; c = q + 13; i = e + 5; q = g + 19. Given that g = 18, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 9", "q": "i + 2", "h": "q + 13", "e": "h + 13", "j": "e + 6", "y": "j + 5", "z": "x + 10", "p": "z + 9", "g": "p + 12", "k": "g + 15", "r": "k + 8", "t": "r + 19", "x": 9}, "premises": {"x": 9}, "target": "y"}, "answer": {"steps": [["j", "e + 6", "e + 11"], ["e", "h + 13", "h + 24"], ["h", "q + 13", "q + 37"], ["q", "i + 2", "i + 39"], ["i", "x + 9", "x + 48"], ["x", 9, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"x": 9}, "is_reverse": true}} | 22,248 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 2; g = p + 12; h = q + 13; y = j + 5; j = e + 6; p = z + 9; t = r + 19; e = h + 13; z = x + 10; i = x + 9; r = k + 8; x = 9; k = g + 15. If x = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 6 to y, which gives y = e + 11.\n2. Substitute e = h + 13 to y, which gives y = h + 24.\n3. Substitute h = q + 13 to y, which gives y = q + 37.\n4. Substitute q = i + 2 to y, which gives y = i + 39.\n5. Substitute i = x + 9 to y, which gives y = x + 48.\n6. Substitute x = 9 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 22248,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 2; g = p + 12; h = q + 13; y = j + 5; j = e + 6; p = z + 9; t = r + 19; e = h + 13; z = x + 10; i = x + 9; r = k + 8; x = 9; k = g + 15. If x = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 9", "w": "p + 14", "o": "w + 8", "m": "o + 19", "s": "m + 10", "z": "s + 18", "v": "e + 15", "u": "v + 16", "c": "u + 15", "y": "c + 9", "g": "y + 9", "h": "g + 19", "e": 16}, "premises": {"e": 16}, "target": "z"}, "answer": {"steps": [["s", "m + 10", "m + 28"], ["m", "o + 19", "o + 47"], ["o", "w + 8", "w + 55"], ["w", "p + 14", "p + 69"], ["p", "e + 9", "e + 78"], ["e", 16, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"e": 16}, "is_reverse": true}} | 22,249 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = c + 9; z = s + 18; e = 16; m = o + 19; s = m + 10; o = w + 8; w = p + 14; h = g + 19; g = y + 9; c = u + 15; p = e + 9; v = e + 15; u = v + 16. Given that e = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 10 to z, which gives z = m + 28.\n2. Substitute m = o + 19 to z, which gives z = o + 47.\n3. Substitute o = w + 8 to z, which gives z = w + 55.\n4. Substitute w = p + 14 to z, which gives z = p + 69.\n5. Substitute p = e + 9 to z, which gives z = e + 78.\n6. Substitute e = 16 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 22249,
"question": "Suppose a collection of variables is related by the following definitions: y = c + 9; z = s + 18; e = 16; m = o + 19; s = m + 10; o = w + 8; w = p + 14; h = g + 19; g = y + 9; c = u + 15; p = e + 9; v = e + 15; u = v + 16. Given that e = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 13", "o": "a + 19", "e": "o + 5", "k": "e + 5", "u": "k + 17", "z": "u + 19", "c": "l + 16", "f": "c + 5", "s": "f + 11", "y": "s + 18", "h": "y + 16", "w": "h + 17", "l": 5}, "premises": {"l": 5}, "target": "z"}, "answer": {"steps": [["u", "k + 17", "k + 36"], ["k", "e + 5", "e + 41"], ["e", "o + 5", "o + 46"], ["o", "a + 19", "a + 65"], ["a", "l + 13", "l + 78"], ["l", 5, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"l": 5}, "is_reverse": true}} | 22,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 16; o = a + 19; a = l + 13; f = c + 5; y = s + 18; e = o + 5; k = e + 5; l = 5; z = u + 19; s = f + 11; u = k + 17; w = h + 17; h = y + 16. Given that l = 5, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 17 to z, which gives z = k + 36.\n2. Substitute k = e + 5 to z, which gives z = e + 41.\n3. Substitute e = o + 5 to z, which gives z = o + 46.\n4. Substitute o = a + 19 to z, which gives z = a + 65.\n5. Substitute a = l + 13 to z, which gives z = l + 78.\n6. Substitute l = 5 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 22250,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 16; o = a + 19; a = l + 13; f = c + 5; y = s + 18; e = o + 5; k = e + 5; l = 5; z = u + 19; s = f + 11; u = k + 17; w = h + 17; h = y + 16. Given that l = 5, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 3", "h": "t + 8", "f": "h + 15", "e": "f + 8", "r": "e + 14", "i": "r + 7", "l": "b + 18", "n": "l + 3", "z": "n + 13", "v": "z + 10", "s": "v + 16", "u": "s + 18", "b": 15}, "premises": {"b": 15}, "target": "i"}, "answer": {"steps": [["r", "e + 14", "e + 21"], ["e", "f + 8", "f + 29"], ["f", "h + 15", "h + 44"], ["h", "t + 8", "t + 52"], ["t", "b + 3", "b + 55"], ["b", 15, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"b": 15}, "is_reverse": true}} | 22,251 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 13; s = v + 16; u = s + 18; v = z + 10; r = e + 14; h = t + 8; b = 15; i = r + 7; e = f + 8; l = b + 18; f = h + 15; n = l + 3; t = b + 3. If b = 15, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 14 to i, which gives i = e + 21.\n2. Substitute e = f + 8 to i, which gives i = f + 29.\n3. Substitute f = h + 15 to i, which gives i = h + 44.\n4. Substitute h = t + 8 to i, which gives i = t + 52.\n5. Substitute t = b + 3 to i, which gives i = b + 55.\n6. Substitute b = 15 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 22251,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 13; s = v + 16; u = s + 18; v = z + 10; r = e + 14; h = t + 8; b = 15; i = r + 7; e = f + 8; l = b + 18; f = h + 15; n = l + 3; t = b + 3. If b = 15, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 2", "y": "c + 14", "x": "y + 2", "n": "x + 4", "w": "n + 3", "s": "w + 11", "q": "g + 16", "f": "q + 5", "j": "f + 8", "e": "j + 10", "d": "e + 4", "z": "d + 15", "g": 15}, "premises": {"g": 15}, "target": "s"}, "answer": {"steps": [["w", "n + 3", "n + 14"], ["n", "x + 4", "x + 18"], ["x", "y + 2", "y + 20"], ["y", "c + 14", "c + 34"], ["c", "g + 2", "g + 36"], ["g", 15, "51"]], "target_var_name": "s", "target_value": 51, "value_dict": {"g": 15}, "is_reverse": true}} | 22,252 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 2; n = x + 4; z = d + 15; s = w + 11; g = 15; e = j + 10; w = n + 3; x = y + 2; y = c + 14; j = f + 8; d = e + 4; f = q + 5; q = g + 16. Given that g = 15, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 3 to s, which gives s = n + 14.\n2. Substitute n = x + 4 to s, which gives s = x + 18.\n3. Substitute x = y + 2 to s, which gives s = y + 20.\n4. Substitute y = c + 14 to s, which gives s = c + 34.\n5. Substitute c = g + 2 to s, which gives s = g + 36.\n6. Substitute g = 15 to s, which gives s = 51.\n\nThus, the final answer is s = \\boxed{51}.",
"index": 22252,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 2; n = x + 4; z = d + 15; s = w + 11; g = 15; e = j + 10; w = n + 3; x = y + 2; y = c + 14; j = f + 8; d = e + 4; f = q + 5; q = g + 16. Given that g = 15, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 12", "d": "r + 5", "u": "d + 20", "z": "u + 3", "g": "z + 6", "i": "g + 5", "c": "w + 13", "p": "c + 6", "e": "p + 11", "n": "e + 16", "v": "n + 16", "q": "v + 10", "w": 16}, "premises": {"w": 16}, "target": "i"}, "answer": {"steps": [["g", "z + 6", "z + 11"], ["z", "u + 3", "u + 14"], ["u", "d + 20", "d + 34"], ["d", "r + 5", "r + 39"], ["r", "w + 12", "w + 51"], ["w", 16, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"w": 16}, "is_reverse": true}} | 22,253 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 6; n = e + 16; c = w + 13; i = g + 5; g = z + 6; v = n + 16; e = p + 11; u = d + 20; q = v + 10; w = 16; r = w + 12; d = r + 5; z = u + 3. Given that w = 16, find 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 g = z + 6 to i, which gives i = z + 11.\n2. Substitute z = u + 3 to i, which gives i = u + 14.\n3. Substitute u = d + 20 to i, which gives i = d + 34.\n4. Substitute d = r + 5 to i, which gives i = r + 39.\n5. Substitute r = w + 12 to i, which gives i = w + 51.\n6. Substitute w = 16 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 22253,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 6; n = e + 16; c = w + 13; i = g + 5; g = z + 6; v = n + 16; e = p + 11; u = d + 20; q = v + 10; w = 16; r = w + 12; d = r + 5; z = u + 3. Given that w = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 4", "l": "d + 20", "y": "l + 3", "i": "y + 20", "o": "i + 15", "x": "o + 17", "n": "q + 9", "s": "n + 17", "m": "s + 2", "b": "m + 12", "p": "b + 3", "f": "p + 18", "q": 7}, "premises": {"q": 7}, "target": "x"}, "answer": {"steps": [["o", "i + 15", "i + 32"], ["i", "y + 20", "y + 52"], ["y", "l + 3", "l + 55"], ["l", "d + 20", "d + 75"], ["d", "q + 4", "q + 79"], ["q", 7, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"q": 7}, "is_reverse": true}} | 22,254 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = d + 20; f = p + 18; m = s + 2; n = q + 9; o = i + 15; x = o + 17; y = l + 3; d = q + 4; q = 7; p = b + 3; s = n + 17; b = m + 12; i = y + 20. Given that q = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 15 to x, which gives x = i + 32.\n2. Substitute i = y + 20 to x, which gives x = y + 52.\n3. Substitute y = l + 3 to x, which gives x = l + 55.\n4. Substitute l = d + 20 to x, which gives x = d + 75.\n5. Substitute d = q + 4 to x, which gives x = q + 79.\n6. Substitute q = 7 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 22254,
"question": "Suppose a collection of variables is related by the following definitions: l = d + 20; f = p + 18; m = s + 2; n = q + 9; o = i + 15; x = o + 17; y = l + 3; d = q + 4; q = 7; p = b + 3; s = n + 17; b = m + 12; i = y + 20. Given that q = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 12", "e": "x + 20", "p": "e + 11", "c": "p + 18", "u": "c + 13", "g": "u + 4", "f": "m + 4", "b": "f + 18", "j": "b + 1", "y": "j + 12", "l": "y + 19", "k": "l + 18", "m": 6}, "premises": {"m": 6}, "target": "g"}, "answer": {"steps": [["u", "c + 13", "c + 17"], ["c", "p + 18", "p + 35"], ["p", "e + 11", "e + 46"], ["e", "x + 20", "x + 66"], ["x", "m + 12", "m + 78"], ["m", 6, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"m": 6}, "is_reverse": true}} | 22,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 12; e = x + 20; x = m + 12; p = e + 11; k = l + 18; g = u + 4; b = f + 18; u = c + 13; m = 6; j = b + 1; l = y + 19; c = p + 18; f = m + 4. If m = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 13 to g, which gives g = c + 17.\n2. Substitute c = p + 18 to g, which gives g = p + 35.\n3. Substitute p = e + 11 to g, which gives g = e + 46.\n4. Substitute e = x + 20 to g, which gives g = x + 66.\n5. Substitute x = m + 12 to g, which gives g = m + 78.\n6. Substitute m = 6 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 22255,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 12; e = x + 20; x = m + 12; p = e + 11; k = l + 18; g = u + 4; b = f + 18; u = c + 13; m = 6; j = b + 1; l = y + 19; c = p + 18; f = m + 4. If m = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 10", "n": "z + 8", "o": "n + 17", "l": "o + 6", "i": "l + 4", "k": "i + 7", "s": "v + 9", "u": "s + 4", "q": "u + 17", "y": "q + 10", "f": "y + 15", "j": "f + 10", "v": 20}, "premises": {"v": 20}, "target": "k"}, "answer": {"steps": [["i", "l + 4", "l + 11"], ["l", "o + 6", "o + 17"], ["o", "n + 17", "n + 34"], ["n", "z + 8", "z + 42"], ["z", "v + 10", "v + 52"], ["v", 20, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"v": 20}, "is_reverse": true}} | 22,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 7; u = s + 4; y = q + 10; i = l + 4; f = y + 15; o = n + 17; s = v + 9; n = z + 8; l = o + 6; j = f + 10; v = 20; q = u + 17; z = v + 10. If v = 20, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 4 to k, which gives k = l + 11.\n2. Substitute l = o + 6 to k, which gives k = o + 17.\n3. Substitute o = n + 17 to k, which gives k = n + 34.\n4. Substitute n = z + 8 to k, which gives k = z + 42.\n5. Substitute z = v + 10 to k, which gives k = v + 52.\n6. Substitute v = 20 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 22256,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 7; u = s + 4; y = q + 10; i = l + 4; f = y + 15; o = n + 17; s = v + 9; n = z + 8; l = o + 6; j = f + 10; v = 20; q = u + 17; z = v + 10. If v = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 15", "k": "e + 17", "u": "k + 15", "z": "u + 7", "g": "z + 14", "m": "g + 12", "i": "d + 18", "h": "i + 17", "q": "h + 9", "t": "q + 11", "a": "t + 18", "p": "a + 7", "d": 11}, "premises": {"d": 11}, "target": "m"}, "answer": {"steps": [["g", "z + 14", "z + 26"], ["z", "u + 7", "u + 33"], ["u", "k + 15", "k + 48"], ["k", "e + 17", "e + 65"], ["e", "d + 15", "d + 80"], ["d", 11, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"d": 11}, "is_reverse": true}} | 22,257 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 9; e = d + 15; m = g + 12; k = e + 17; p = a + 7; a = t + 18; g = z + 14; z = u + 7; u = k + 15; t = q + 11; d = 11; i = d + 18; h = i + 17. Given that d = 11, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 14 to m, which gives m = z + 26.\n2. Substitute z = u + 7 to m, which gives m = u + 33.\n3. Substitute u = k + 15 to m, which gives m = k + 48.\n4. Substitute k = e + 17 to m, which gives m = e + 65.\n5. Substitute e = d + 15 to m, which gives m = d + 80.\n6. Substitute d = 11 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 22257,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 9; e = d + 15; m = g + 12; k = e + 17; p = a + 7; a = t + 18; g = z + 14; z = u + 7; u = k + 15; t = q + 11; d = 11; i = d + 18; h = i + 17. Given that d = 11, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 11", "m": "k + 12", "p": "m + 6", "q": "p + 1", "h": "q + 11", "l": "h + 4", "w": "o + 1", "a": "w + 18", "b": "a + 18", "x": "b + 18", "z": "x + 15", "s": "z + 9", "o": 4}, "premises": {"o": 4}, "target": "l"}, "answer": {"steps": [["h", "q + 11", "q + 15"], ["q", "p + 1", "p + 16"], ["p", "m + 6", "m + 22"], ["m", "k + 12", "k + 34"], ["k", "o + 11", "o + 45"], ["o", 4, "49"]], "target_var_name": "l", "target_value": 49, "value_dict": {"o": 4}, "is_reverse": true}} | 22,258 | 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 + 12; z = x + 15; k = o + 11; x = b + 18; a = w + 18; p = m + 6; q = p + 1; w = o + 1; h = q + 11; o = 4; b = a + 18; s = z + 9; l = h + 4. If o = 4, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 11 to l, which gives l = q + 15.\n2. Substitute q = p + 1 to l, which gives l = p + 16.\n3. Substitute p = m + 6 to l, which gives l = m + 22.\n4. Substitute m = k + 12 to l, which gives l = k + 34.\n5. Substitute k = o + 11 to l, which gives l = o + 45.\n6. Substitute o = 4 to l, which gives l = 49.\n\nThus, the final answer is l = \\boxed{49}.",
"index": 22258,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 12; z = x + 15; k = o + 11; x = b + 18; a = w + 18; p = m + 6; q = p + 1; w = o + 1; h = q + 11; o = 4; b = a + 18; s = z + 9; l = h + 4. If o = 4, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 13", "v": "l + 2", "k": "v + 12", "u": "k + 14", "j": "u + 18", "y": "j + 8", "p": "i + 15", "w": "p + 16", "s": "w + 10", "t": "s + 4", "o": "t + 8", "x": "o + 12", "i": 3}, "premises": {"i": 3}, "target": "y"}, "answer": {"steps": [["j", "u + 18", "u + 26"], ["u", "k + 14", "k + 40"], ["k", "v + 12", "v + 52"], ["v", "l + 2", "l + 54"], ["l", "i + 13", "i + 67"], ["i", 3, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"i": 3}, "is_reverse": true}} | 22,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 3; j = u + 18; u = k + 14; v = l + 2; k = v + 12; s = w + 10; w = p + 16; p = i + 15; l = i + 13; t = s + 4; o = t + 8; x = o + 12; y = j + 8. Given that i = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 18 to y, which gives y = u + 26.\n2. Substitute u = k + 14 to y, which gives y = k + 40.\n3. Substitute k = v + 12 to y, which gives y = v + 52.\n4. Substitute v = l + 2 to y, which gives y = l + 54.\n5. Substitute l = i + 13 to y, which gives y = i + 67.\n6. Substitute i = 3 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 22259,
"question": "Suppose a collection of variables is related by the following definitions: i = 3; j = u + 18; u = k + 14; v = l + 2; k = v + 12; s = w + 10; w = p + 16; p = i + 15; l = i + 13; t = s + 4; o = t + 8; x = o + 12; y = j + 8. Given that i = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 4", "x": "j + 11", "g": "x + 14", "h": "g + 3", "c": "h + 14", "b": "c + 7", "l": "o + 8", "y": "l + 1", "w": "y + 19", "z": "w + 16", "e": "z + 19", "d": "e + 14", "o": 16}, "premises": {"o": 16}, "target": "b"}, "answer": {"steps": [["c", "h + 14", "h + 21"], ["h", "g + 3", "g + 24"], ["g", "x + 14", "x + 38"], ["x", "j + 11", "j + 49"], ["j", "o + 4", "o + 53"], ["o", 16, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"o": 16}, "is_reverse": true}} | 22,260 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 8; c = h + 14; w = y + 19; z = w + 16; y = l + 1; d = e + 14; o = 16; j = o + 4; e = z + 19; x = j + 11; b = c + 7; g = x + 14; h = g + 3. Given that o = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 14 to b, which gives b = h + 21.\n2. Substitute h = g + 3 to b, which gives b = g + 24.\n3. Substitute g = x + 14 to b, which gives b = x + 38.\n4. Substitute x = j + 11 to b, which gives b = j + 49.\n5. Substitute j = o + 4 to b, which gives b = o + 53.\n6. Substitute o = 16 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 22260,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 8; c = h + 14; w = y + 19; z = w + 16; y = l + 1; d = e + 14; o = 16; j = o + 4; e = z + 19; x = j + 11; b = c + 7; g = x + 14; h = g + 3. Given that o = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 5", "o": "q + 3", "j": "o + 11", "v": "j + 12", "c": "v + 1", "f": "c + 14", "e": "w + 11", "t": "e + 19", "z": "t + 18", "h": "z + 11", "r": "h + 9", "d": "r + 10", "w": 5}, "premises": {"w": 5}, "target": "f"}, "answer": {"steps": [["c", "v + 1", "v + 15"], ["v", "j + 12", "j + 27"], ["j", "o + 11", "o + 38"], ["o", "q + 3", "q + 41"], ["q", "w + 5", "w + 46"], ["w", 5, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"w": 5}, "is_reverse": true}} | 22,261 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = v + 1; o = q + 3; r = h + 9; w = 5; e = w + 11; q = w + 5; f = c + 14; j = o + 11; d = r + 10; v = j + 12; t = e + 19; h = z + 11; z = t + 18. Given that w = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 1 to f, which gives f = v + 15.\n2. Substitute v = j + 12 to f, which gives f = j + 27.\n3. Substitute j = o + 11 to f, which gives f = o + 38.\n4. Substitute o = q + 3 to f, which gives f = q + 41.\n5. Substitute q = w + 5 to f, which gives f = w + 46.\n6. Substitute w = 5 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 22261,
"question": "Suppose a collection of variables is related by the following definitions: c = v + 1; o = q + 3; r = h + 9; w = 5; e = w + 11; q = w + 5; f = c + 14; j = o + 11; d = r + 10; v = j + 12; t = e + 19; h = z + 11; z = t + 18. Given that w = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 13", "e": "m + 10", "y": "e + 10", "w": "y + 6", "n": "w + 8", "s": "n + 6", "o": "v + 4", "i": "o + 5", "z": "i + 7", "r": "z + 14", "a": "r + 4", "f": "a + 4", "v": 5}, "premises": {"v": 5}, "target": "s"}, "answer": {"steps": [["n", "w + 8", "w + 14"], ["w", "y + 6", "y + 20"], ["y", "e + 10", "e + 30"], ["e", "m + 10", "m + 40"], ["m", "v + 13", "v + 53"], ["v", 5, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"v": 5}, "is_reverse": true}} | 22,262 | 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 + 4; i = o + 5; s = n + 6; y = e + 10; v = 5; e = m + 10; o = v + 4; m = v + 13; n = w + 8; f = a + 4; w = y + 6; z = i + 7; r = z + 14. If v = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 8 to s, which gives s = w + 14.\n2. Substitute w = y + 6 to s, which gives s = y + 20.\n3. Substitute y = e + 10 to s, which gives s = e + 30.\n4. Substitute e = m + 10 to s, which gives s = m + 40.\n5. Substitute m = v + 13 to s, which gives s = v + 53.\n6. Substitute v = 5 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 22262,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 4; i = o + 5; s = n + 6; y = e + 10; v = 5; e = m + 10; o = v + 4; m = v + 13; n = w + 8; f = a + 4; w = y + 6; z = i + 7; r = z + 14. If v = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 15", "b": "d + 6", "t": "b + 5", "u": "t + 14", "w": "u + 4", "s": "w + 2", "o": "x + 15", "l": "o + 5", "k": "l + 14", "f": "k + 5", "n": "f + 6", "g": "n + 19", "x": 14}, "premises": {"x": 14}, "target": "s"}, "answer": {"steps": [["w", "u + 4", "u + 6"], ["u", "t + 14", "t + 20"], ["t", "b + 5", "b + 25"], ["b", "d + 6", "d + 31"], ["d", "x + 15", "x + 46"], ["x", 14, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"x": 14}, "is_reverse": true}} | 22,263 | 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 = x + 15; s = w + 2; n = f + 6; t = b + 5; b = d + 6; f = k + 5; w = u + 4; g = n + 19; u = t + 14; k = l + 14; l = o + 5; x = 14; d = x + 15. If x = 14, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 4 to s, which gives s = u + 6.\n2. Substitute u = t + 14 to s, which gives s = t + 20.\n3. Substitute t = b + 5 to s, which gives s = b + 25.\n4. Substitute b = d + 6 to s, which gives s = d + 31.\n5. Substitute d = x + 15 to s, which gives s = x + 46.\n6. Substitute x = 14 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 22263,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = x + 15; s = w + 2; n = f + 6; t = b + 5; b = d + 6; f = k + 5; w = u + 4; g = n + 19; u = t + 14; k = l + 14; l = o + 5; x = 14; d = x + 15. If x = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 5", "u": "h + 8", "z": "u + 5", "k": "z + 13", "o": "k + 17", "f": "o + 9", "s": "w + 13", "g": "s + 17", "y": "g + 1", "a": "y + 14", "i": "a + 17", "d": "i + 11", "w": 9}, "premises": {"w": 9}, "target": "f"}, "answer": {"steps": [["o", "k + 17", "k + 26"], ["k", "z + 13", "z + 39"], ["z", "u + 5", "u + 44"], ["u", "h + 8", "h + 52"], ["h", "w + 5", "w + 57"], ["w", 9, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"w": 9}, "is_reverse": true}} | 22,264 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 5; w = 9; g = s + 17; u = h + 8; y = g + 1; i = a + 17; f = o + 9; s = w + 13; k = z + 13; h = w + 5; a = y + 14; o = k + 17; d = i + 11. Given that w = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 17 to f, which gives f = k + 26.\n2. Substitute k = z + 13 to f, which gives f = z + 39.\n3. Substitute z = u + 5 to f, which gives f = u + 44.\n4. Substitute u = h + 8 to f, which gives f = h + 52.\n5. Substitute h = w + 5 to f, which gives f = w + 57.\n6. Substitute w = 9 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 22264,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 5; w = 9; g = s + 17; u = h + 8; y = g + 1; i = a + 17; f = o + 9; s = w + 13; k = z + 13; h = w + 5; a = y + 14; o = k + 17; d = i + 11. Given that w = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 19", "w": "t + 4", "r": "w + 5", "n": "r + 19", "f": "n + 4", "j": "f + 6", "k": "x + 3", "l": "k + 9", "d": "l + 7", "c": "d + 18", "h": "c + 3", "q": "h + 19", "x": 2}, "premises": {"x": 2}, "target": "j"}, "answer": {"steps": [["f", "n + 4", "n + 10"], ["n", "r + 19", "r + 29"], ["r", "w + 5", "w + 34"], ["w", "t + 4", "t + 38"], ["t", "x + 19", "x + 57"], ["x", 2, "59"]], "target_var_name": "j", "target_value": 59, "value_dict": {"x": 2}, "is_reverse": true}} | 22,265 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 19; l = k + 9; h = c + 3; k = x + 3; d = l + 7; f = n + 4; j = f + 6; c = d + 18; r = w + 5; n = r + 19; x = 2; t = x + 19; w = t + 4. If x = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 4 to j, which gives j = n + 10.\n2. Substitute n = r + 19 to j, which gives j = r + 29.\n3. Substitute r = w + 5 to j, which gives j = w + 34.\n4. Substitute w = t + 4 to j, which gives j = t + 38.\n5. Substitute t = x + 19 to j, which gives j = x + 57.\n6. Substitute x = 2 to j, which gives j = 59.\n\nThus, the final answer is j = \\boxed{59}.",
"index": 22265,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 19; l = k + 9; h = c + 3; k = x + 3; d = l + 7; f = n + 4; j = f + 6; c = d + 18; r = w + 5; n = r + 19; x = 2; t = x + 19; w = t + 4. If x = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 10", "m": "z + 3", "r": "m + 13", "n": "r + 20", "d": "n + 5", "c": "d + 9", "i": "u + 18", "t": "i + 15", "a": "t + 13", "k": "a + 14", "o": "k + 2", "j": "o + 3", "u": 6}, "premises": {"u": 6}, "target": "c"}, "answer": {"steps": [["d", "n + 5", "n + 14"], ["n", "r + 20", "r + 34"], ["r", "m + 13", "m + 47"], ["m", "z + 3", "z + 50"], ["z", "u + 10", "u + 60"], ["u", 6, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"u": 6}, "is_reverse": true}} | 22,266 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 20; k = a + 14; o = k + 2; m = z + 3; c = d + 9; i = u + 18; a = t + 13; d = n + 5; r = m + 13; j = o + 3; t = i + 15; u = 6; z = u + 10. Given that u = 6, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 5 to c, which gives c = n + 14.\n2. Substitute n = r + 20 to c, which gives c = r + 34.\n3. Substitute r = m + 13 to c, which gives c = m + 47.\n4. Substitute m = z + 3 to c, which gives c = z + 50.\n5. Substitute z = u + 10 to c, which gives c = u + 60.\n6. Substitute u = 6 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 22266,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 20; k = a + 14; o = k + 2; m = z + 3; c = d + 9; i = u + 18; a = t + 13; d = n + 5; r = m + 13; j = o + 3; t = i + 15; u = 6; z = u + 10. Given that u = 6, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 10", "d": "a + 9", "o": "d + 5", "r": "o + 4", "e": "r + 2", "m": "e + 14", "t": "y + 12", "p": "t + 17", "g": "p + 4", "k": "g + 14", "v": "k + 18", "u": "v + 1", "y": 13}, "premises": {"y": 13}, "target": "m"}, "answer": {"steps": [["e", "r + 2", "r + 16"], ["r", "o + 4", "o + 20"], ["o", "d + 5", "d + 25"], ["d", "a + 9", "a + 34"], ["a", "y + 10", "y + 44"], ["y", 13, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"y": 13}, "is_reverse": true}} | 22,267 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 4; y = 13; o = d + 5; p = t + 17; a = y + 10; e = r + 2; k = g + 14; d = a + 9; u = v + 1; t = y + 12; g = p + 4; m = e + 14; v = k + 18. Given that y = 13, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 2 to m, which gives m = r + 16.\n2. Substitute r = o + 4 to m, which gives m = o + 20.\n3. Substitute o = d + 5 to m, which gives m = d + 25.\n4. Substitute d = a + 9 to m, which gives m = a + 34.\n5. Substitute a = y + 10 to m, which gives m = y + 44.\n6. Substitute y = 13 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 22267,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 4; y = 13; o = d + 5; p = t + 17; a = y + 10; e = r + 2; k = g + 14; d = a + 9; u = v + 1; t = y + 12; g = p + 4; m = e + 14; v = k + 18. Given that y = 13, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 3", "x": "j + 8", "i": "x + 1", "y": "i + 6", "e": "y + 20", "o": "e + 8", "l": "q + 9", "d": "l + 18", "t": "d + 4", "f": "t + 10", "m": "f + 5", "k": "m + 10", "q": 13}, "premises": {"q": 13}, "target": "o"}, "answer": {"steps": [["e", "y + 20", "y + 28"], ["y", "i + 6", "i + 34"], ["i", "x + 1", "x + 35"], ["x", "j + 8", "j + 43"], ["j", "q + 3", "q + 46"], ["q", 13, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"q": 13}, "is_reverse": true}} | 22,268 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 5; f = t + 10; e = y + 20; d = l + 18; x = j + 8; i = x + 1; t = d + 4; l = q + 9; o = e + 8; q = 13; y = i + 6; j = q + 3; k = m + 10. If q = 13, what is the resulting 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 e = y + 20 to o, which gives o = y + 28.\n2. Substitute y = i + 6 to o, which gives o = i + 34.\n3. Substitute i = x + 1 to o, which gives o = x + 35.\n4. Substitute x = j + 8 to o, which gives o = j + 43.\n5. Substitute j = q + 3 to o, which gives o = q + 46.\n6. Substitute q = 13 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 22268,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 5; f = t + 10; e = y + 20; d = l + 18; x = j + 8; i = x + 1; t = d + 4; l = q + 9; o = e + 8; q = 13; y = i + 6; j = q + 3; k = m + 10. If q = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 16", "t": "n + 6", "l": "t + 6", "h": "l + 4", "c": "h + 16", "s": "c + 4", "f": "v + 9", "x": "f + 1", "y": "x + 16", "a": "y + 14", "o": "a + 13", "q": "o + 13", "v": 20}, "premises": {"v": 20}, "target": "s"}, "answer": {"steps": [["c", "h + 16", "h + 20"], ["h", "l + 4", "l + 24"], ["l", "t + 6", "t + 30"], ["t", "n + 6", "n + 36"], ["n", "v + 16", "v + 52"], ["v", 20, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"v": 20}, "is_reverse": true}} | 22,269 | 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; n = v + 16; a = y + 14; q = o + 13; c = h + 16; x = f + 1; s = c + 4; o = a + 13; y = x + 16; l = t + 6; h = l + 4; t = n + 6; v = 20. If v = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 16 to s, which gives s = h + 20.\n2. Substitute h = l + 4 to s, which gives s = l + 24.\n3. Substitute l = t + 6 to s, which gives s = t + 30.\n4. Substitute t = n + 6 to s, which gives s = n + 36.\n5. Substitute n = v + 16 to s, which gives s = v + 52.\n6. Substitute v = 20 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 22269,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 9; n = v + 16; a = y + 14; q = o + 13; c = h + 16; x = f + 1; s = c + 4; o = a + 13; y = x + 16; l = t + 6; h = l + 4; t = n + 6; v = 20. If v = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 13", "n": "a + 12", "o": "n + 19", "b": "o + 18", "j": "b + 1", "v": "j + 12", "u": "i + 19", "l": "u + 14", "t": "l + 12", "h": "t + 1", "k": "h + 3", "q": "k + 20", "i": 3}, "premises": {"i": 3}, "target": "v"}, "answer": {"steps": [["j", "b + 1", "b + 13"], ["b", "o + 18", "o + 31"], ["o", "n + 19", "n + 50"], ["n", "a + 12", "a + 62"], ["a", "i + 13", "i + 75"], ["i", 3, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"i": 3}, "is_reverse": true}} | 22,270 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 18; j = b + 1; n = a + 12; k = h + 3; a = i + 13; i = 3; l = u + 14; h = t + 1; o = n + 19; q = k + 20; v = j + 12; t = l + 12; u = i + 19. Given that i = 3, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 1 to v, which gives v = b + 13.\n2. Substitute b = o + 18 to v, which gives v = o + 31.\n3. Substitute o = n + 19 to v, which gives v = n + 50.\n4. Substitute n = a + 12 to v, which gives v = a + 62.\n5. Substitute a = i + 13 to v, which gives v = i + 75.\n6. Substitute i = 3 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 22270,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 18; j = b + 1; n = a + 12; k = h + 3; a = i + 13; i = 3; l = u + 14; h = t + 1; o = n + 19; q = k + 20; v = j + 12; t = l + 12; u = i + 19. Given that i = 3, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 3", "o": "t + 8", "l": "o + 7", "c": "l + 17", "j": "c + 4", "k": "j + 6", "h": "x + 20", "b": "h + 17", "p": "b + 3", "r": "p + 2", "i": "r + 7", "g": "i + 4", "x": 13}, "premises": {"x": 13}, "target": "k"}, "answer": {"steps": [["j", "c + 4", "c + 10"], ["c", "l + 17", "l + 27"], ["l", "o + 7", "o + 34"], ["o", "t + 8", "t + 42"], ["t", "x + 3", "x + 45"], ["x", 13, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"x": 13}, "is_reverse": true}} | 22,271 | 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 = r + 7; l = o + 7; g = i + 4; p = b + 3; h = x + 20; c = l + 17; r = p + 2; o = t + 8; x = 13; j = c + 4; b = h + 17; k = j + 6; t = x + 3. If x = 13, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 4 to k, which gives k = c + 10.\n2. Substitute c = l + 17 to k, which gives k = l + 27.\n3. Substitute l = o + 7 to k, which gives k = o + 34.\n4. Substitute o = t + 8 to k, which gives k = t + 42.\n5. Substitute t = x + 3 to k, which gives k = x + 45.\n6. Substitute x = 13 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 22271,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 7; l = o + 7; g = i + 4; p = b + 3; h = x + 20; c = l + 17; r = p + 2; o = t + 8; x = 13; j = c + 4; b = h + 17; k = j + 6; t = x + 3. If x = 13, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 9", "s": "r + 16", "j": "s + 15", "c": "j + 3", "l": "c + 20", "o": "l + 11", "z": "m + 17", "e": "z + 19", "d": "e + 17", "v": "d + 13", "a": "v + 4", "p": "a + 4", "m": 14}, "premises": {"m": 14}, "target": "o"}, "answer": {"steps": [["l", "c + 20", "c + 31"], ["c", "j + 3", "j + 34"], ["j", "s + 15", "s + 49"], ["s", "r + 16", "r + 65"], ["r", "m + 9", "m + 74"], ["m", 14, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"m": 14}, "is_reverse": true}} | 22,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 20; z = m + 17; o = l + 11; p = a + 4; v = d + 13; s = r + 16; d = e + 17; r = m + 9; e = z + 19; j = s + 15; c = j + 3; a = v + 4; m = 14. If m = 14, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 20 to o, which gives o = c + 31.\n2. Substitute c = j + 3 to o, which gives o = j + 34.\n3. Substitute j = s + 15 to o, which gives o = s + 49.\n4. Substitute s = r + 16 to o, which gives o = r + 65.\n5. Substitute r = m + 9 to o, which gives o = m + 74.\n6. Substitute m = 14 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 22272,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 20; z = m + 17; o = l + 11; p = a + 4; v = d + 13; s = r + 16; d = e + 17; r = m + 9; e = z + 19; j = s + 15; c = j + 3; a = v + 4; m = 14. If m = 14, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 12", "r": "u + 3", "q": "r + 13", "z": "q + 14", "m": "z + 11", "c": "m + 2", "h": "f + 1", "k": "h + 11", "i": "k + 19", "e": "i + 19", "w": "e + 12", "p": "w + 1", "f": 10}, "premises": {"f": 10}, "target": "c"}, "answer": {"steps": [["m", "z + 11", "z + 13"], ["z", "q + 14", "q + 27"], ["q", "r + 13", "r + 40"], ["r", "u + 3", "u + 43"], ["u", "f + 12", "f + 55"], ["f", 10, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"f": 10}, "is_reverse": true}} | 22,273 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 3; i = k + 19; k = h + 11; z = q + 14; f = 10; h = f + 1; q = r + 13; c = m + 2; p = w + 1; e = i + 19; m = z + 11; u = f + 12; w = e + 12. Given that f = 10, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 11 to c, which gives c = z + 13.\n2. Substitute z = q + 14 to c, which gives c = q + 27.\n3. Substitute q = r + 13 to c, which gives c = r + 40.\n4. Substitute r = u + 3 to c, which gives c = u + 43.\n5. Substitute u = f + 12 to c, which gives c = f + 55.\n6. Substitute f = 10 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 22273,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 3; i = k + 19; k = h + 11; z = q + 14; f = 10; h = f + 1; q = r + 13; c = m + 2; p = w + 1; e = i + 19; m = z + 11; u = f + 12; w = e + 12. Given that f = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 16", "b": "l + 8", "u": "b + 11", "k": "u + 6", "p": "k + 17", "t": "p + 13", "q": "f + 13", "n": "q + 15", "d": "n + 17", "j": "d + 3", "s": "j + 14", "e": "s + 7", "f": 7}, "premises": {"f": 7}, "target": "t"}, "answer": {"steps": [["p", "k + 17", "k + 30"], ["k", "u + 6", "u + 36"], ["u", "b + 11", "b + 47"], ["b", "l + 8", "l + 55"], ["l", "f + 16", "f + 71"], ["f", 7, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"f": 7}, "is_reverse": true}} | 22,274 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = k + 17; f = 7; n = q + 15; k = u + 6; s = j + 14; d = n + 17; t = p + 13; l = f + 16; b = l + 8; u = b + 11; q = f + 13; e = s + 7; j = d + 3. If f = 7, determine the 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 p = k + 17 to t, which gives t = k + 30.\n2. Substitute k = u + 6 to t, which gives t = u + 36.\n3. Substitute u = b + 11 to t, which gives t = b + 47.\n4. Substitute b = l + 8 to t, which gives t = l + 55.\n5. Substitute l = f + 16 to t, which gives t = f + 71.\n6. Substitute f = 7 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 22274,
"question": "Consider a system of variables where each variable is defined as follows: p = k + 17; f = 7; n = q + 15; k = u + 6; s = j + 14; d = n + 17; t = p + 13; l = f + 16; b = l + 8; u = b + 11; q = f + 13; e = s + 7; j = d + 3. If f = 7, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 13", "y": "c + 9", "k": "y + 12", "g": "k + 7", "o": "g + 19", "s": "o + 7", "t": "v + 5", "z": "t + 12", "l": "z + 14", "u": "l + 5", "n": "u + 19", "w": "n + 7", "v": 20}, "premises": {"v": 20}, "target": "s"}, "answer": {"steps": [["o", "g + 19", "g + 26"], ["g", "k + 7", "k + 33"], ["k", "y + 12", "y + 45"], ["y", "c + 9", "c + 54"], ["c", "v + 13", "v + 67"], ["v", 20, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"v": 20}, "is_reverse": true}} | 22,275 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 12; g = k + 7; l = z + 14; v = 20; k = y + 12; c = v + 13; u = l + 5; o = g + 19; y = c + 9; n = u + 19; s = o + 7; w = n + 7; t = v + 5. Given that v = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 19 to s, which gives s = g + 26.\n2. Substitute g = k + 7 to s, which gives s = k + 33.\n3. Substitute k = y + 12 to s, which gives s = y + 45.\n4. Substitute y = c + 9 to s, which gives s = c + 54.\n5. Substitute c = v + 13 to s, which gives s = v + 67.\n6. Substitute v = 20 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 22275,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 12; g = k + 7; l = z + 14; v = 20; k = y + 12; c = v + 13; u = l + 5; o = g + 19; y = c + 9; n = u + 19; s = o + 7; w = n + 7; t = v + 5. Given that v = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 3", "p": "j + 4", "z": "p + 1", "t": "z + 7", "n": "t + 4", "h": "n + 20", "m": "f + 2", "w": "m + 8", "k": "w + 19", "s": "k + 12", "e": "s + 17", "q": "e + 10", "f": 4}, "premises": {"f": 4}, "target": "h"}, "answer": {"steps": [["n", "t + 4", "t + 24"], ["t", "z + 7", "z + 31"], ["z", "p + 1", "p + 32"], ["p", "j + 4", "j + 36"], ["j", "f + 3", "f + 39"], ["f", 4, "43"]], "target_var_name": "h", "target_value": 43, "value_dict": {"f": 4}, "is_reverse": true}} | 22,276 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 7; f = 4; k = w + 19; z = p + 1; q = e + 10; h = n + 20; s = k + 12; n = t + 4; p = j + 4; m = f + 2; w = m + 8; j = f + 3; e = s + 17. Given that f = 4, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 4 to h, which gives h = t + 24.\n2. Substitute t = z + 7 to h, which gives h = z + 31.\n3. Substitute z = p + 1 to h, which gives h = p + 32.\n4. Substitute p = j + 4 to h, which gives h = j + 36.\n5. Substitute j = f + 3 to h, which gives h = f + 39.\n6. Substitute f = 4 to h, which gives h = 43.\n\nThus, the final answer is h = \\boxed{43}.",
"index": 22276,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 7; f = 4; k = w + 19; z = p + 1; q = e + 10; h = n + 20; s = k + 12; n = t + 4; p = j + 4; m = f + 2; w = m + 8; j = f + 3; e = s + 17. Given that f = 4, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 11", "f": "i + 8", "q": "f + 5", "k": "q + 3", "o": "k + 15", "y": "o + 12", "p": "z + 11", "s": "p + 15", "j": "s + 6", "w": "j + 8", "a": "w + 10", "t": "a + 1", "z": 18}, "premises": {"z": 18}, "target": "y"}, "answer": {"steps": [["o", "k + 15", "k + 27"], ["k", "q + 3", "q + 30"], ["q", "f + 5", "f + 35"], ["f", "i + 8", "i + 43"], ["i", "z + 11", "z + 54"], ["z", 18, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"z": 18}, "is_reverse": true}} | 22,277 | 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 = 18; t = a + 1; w = j + 8; q = f + 5; s = p + 15; k = q + 3; a = w + 10; i = z + 11; p = z + 11; f = i + 8; j = s + 6; o = k + 15; y = o + 12. If z = 18, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 15 to y, which gives y = k + 27.\n2. Substitute k = q + 3 to y, which gives y = q + 30.\n3. Substitute q = f + 5 to y, which gives y = f + 35.\n4. Substitute f = i + 8 to y, which gives y = i + 43.\n5. Substitute i = z + 11 to y, which gives y = z + 54.\n6. Substitute z = 18 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 22277,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 18; t = a + 1; w = j + 8; q = f + 5; s = p + 15; k = q + 3; a = w + 10; i = z + 11; p = z + 11; f = i + 8; j = s + 6; o = k + 15; y = o + 12. If z = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 16", "x": "w + 2", "m": "x + 5", "i": "m + 20", "e": "i + 18", "t": "e + 17", "d": "l + 17", "n": "d + 6", "z": "n + 3", "q": "z + 15", "s": "q + 15", "b": "s + 8", "l": 2}, "premises": {"l": 2}, "target": "t"}, "answer": {"steps": [["e", "i + 18", "i + 35"], ["i", "m + 20", "m + 55"], ["m", "x + 5", "x + 60"], ["x", "w + 2", "w + 62"], ["w", "l + 16", "l + 78"], ["l", 2, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"l": 2}, "is_reverse": true}} | 22,278 | 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 + 17; i = m + 20; e = i + 18; m = x + 5; b = s + 8; q = z + 15; w = l + 16; s = q + 15; z = n + 3; n = d + 6; l = 2; x = w + 2; t = e + 17. If l = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 18 to t, which gives t = i + 35.\n2. Substitute i = m + 20 to t, which gives t = m + 55.\n3. Substitute m = x + 5 to t, which gives t = x + 60.\n4. Substitute x = w + 2 to t, which gives t = w + 62.\n5. Substitute w = l + 16 to t, which gives t = l + 78.\n6. Substitute l = 2 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 22278,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = l + 17; i = m + 20; e = i + 18; m = x + 5; b = s + 8; q = z + 15; w = l + 16; s = q + 15; z = n + 3; n = d + 6; l = 2; x = w + 2; t = e + 17. If l = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 9", "s": "y + 19", "z": "s + 1", "m": "z + 20", "a": "m + 2", "g": "a + 5", "b": "f + 13", "l": "b + 13", "v": "l + 19", "j": "v + 16", "r": "j + 18", "u": "r + 13", "f": 2}, "premises": {"f": 2}, "target": "g"}, "answer": {"steps": [["a", "m + 2", "m + 7"], ["m", "z + 20", "z + 27"], ["z", "s + 1", "s + 28"], ["s", "y + 19", "y + 47"], ["y", "f + 9", "f + 56"], ["f", 2, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"f": 2}, "is_reverse": true}} | 22,279 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 5; u = r + 13; r = j + 18; b = f + 13; v = l + 19; m = z + 20; l = b + 13; z = s + 1; f = 2; s = y + 19; a = m + 2; y = f + 9; j = v + 16. Given that f = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 2 to g, which gives g = m + 7.\n2. Substitute m = z + 20 to g, which gives g = z + 27.\n3. Substitute z = s + 1 to g, which gives g = s + 28.\n4. Substitute s = y + 19 to g, which gives g = y + 47.\n5. Substitute y = f + 9 to g, which gives g = f + 56.\n6. Substitute f = 2 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 22279,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 5; u = r + 13; r = j + 18; b = f + 13; v = l + 19; m = z + 20; l = b + 13; z = s + 1; f = 2; s = y + 19; a = m + 2; y = f + 9; j = v + 16. Given that f = 2, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 20", "n": "s + 11", "m": "n + 8", "l": "m + 18", "o": "l + 15", "f": "o + 8", "r": "e + 5", "z": "r + 6", "v": "z + 15", "y": "v + 5", "a": "y + 16", "w": "a + 10", "e": 7}, "premises": {"e": 7}, "target": "f"}, "answer": {"steps": [["o", "l + 15", "l + 23"], ["l", "m + 18", "m + 41"], ["m", "n + 8", "n + 49"], ["n", "s + 11", "s + 60"], ["s", "e + 20", "e + 80"], ["e", 7, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"e": 7}, "is_reverse": true}} | 22,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 8; v = z + 15; z = r + 6; s = e + 20; e = 7; y = v + 5; r = e + 5; o = l + 15; f = o + 8; l = m + 18; n = s + 11; w = a + 10; a = y + 16. If e = 7, 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 o = l + 15 to f, which gives f = l + 23.\n2. Substitute l = m + 18 to f, which gives f = m + 41.\n3. Substitute m = n + 8 to f, which gives f = n + 49.\n4. Substitute n = s + 11 to f, which gives f = s + 60.\n5. Substitute s = e + 20 to f, which gives f = e + 80.\n6. Substitute e = 7 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 22280,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 8; v = z + 15; z = r + 6; s = e + 20; e = 7; y = v + 5; r = e + 5; o = l + 15; f = o + 8; l = m + 18; n = s + 11; w = a + 10; a = y + 16. If e = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 17", "u": "m + 13", "v": "u + 9", "x": "v + 8", "b": "x + 17", "w": "b + 19", "k": "i + 12", "o": "k + 19", "s": "o + 19", "r": "s + 16", "l": "r + 3", "f": "l + 3", "i": 13}, "premises": {"i": 13}, "target": "w"}, "answer": {"steps": [["b", "x + 17", "x + 36"], ["x", "v + 8", "v + 44"], ["v", "u + 9", "u + 53"], ["u", "m + 13", "m + 66"], ["m", "i + 17", "i + 83"], ["i", 13, "96"]], "target_var_name": "w", "target_value": 96, "value_dict": {"i": 13}, "is_reverse": true}} | 22,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 8; f = l + 3; m = i + 17; k = i + 12; w = b + 19; i = 13; s = o + 19; u = m + 13; r = s + 16; v = u + 9; l = r + 3; b = x + 17; o = k + 19. If i = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 17 to w, which gives w = x + 36.\n2. Substitute x = v + 8 to w, which gives w = v + 44.\n3. Substitute v = u + 9 to w, which gives w = u + 53.\n4. Substitute u = m + 13 to w, which gives w = m + 66.\n5. Substitute m = i + 17 to w, which gives w = i + 83.\n6. Substitute i = 13 to w, which gives w = 96.\n\nThus, the final answer is w = \\boxed{96}.",
"index": 22281,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 8; f = l + 3; m = i + 17; k = i + 12; w = b + 19; i = 13; s = o + 19; u = m + 13; r = s + 16; v = u + 9; l = r + 3; b = x + 17; o = k + 19. If i = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 5", "n": "e + 3", "r": "n + 10", "v": "r + 2", "c": "v + 15", "p": "c + 18", "l": "k + 16", "y": "l + 1", "j": "y + 11", "x": "j + 10", "o": "x + 6", "u": "o + 13", "k": 7}, "premises": {"k": 7}, "target": "p"}, "answer": {"steps": [["c", "v + 15", "v + 33"], ["v", "r + 2", "r + 35"], ["r", "n + 10", "n + 45"], ["n", "e + 3", "e + 48"], ["e", "k + 5", "k + 53"], ["k", 7, "60"]], "target_var_name": "p", "target_value": 60, "value_dict": {"k": 7}, "is_reverse": true}} | 22,282 | 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 = r + 2; c = v + 15; j = y + 11; o = x + 6; p = c + 18; l = k + 16; u = o + 13; x = j + 10; r = n + 10; n = e + 3; e = k + 5; k = 7; y = l + 1. If k = 7, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 15 to p, which gives p = v + 33.\n2. Substitute v = r + 2 to p, which gives p = r + 35.\n3. Substitute r = n + 10 to p, which gives p = n + 45.\n4. Substitute n = e + 3 to p, which gives p = e + 48.\n5. Substitute e = k + 5 to p, which gives p = k + 53.\n6. Substitute k = 7 to p, which gives p = 60.\n\nThus, the final answer is p = \\boxed{60}.",
"index": 22282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 2; c = v + 15; j = y + 11; o = x + 6; p = c + 18; l = k + 16; u = o + 13; x = j + 10; r = n + 10; n = e + 3; e = k + 5; k = 7; y = l + 1. If k = 7, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 9", "e": "h + 17", "m": "e + 17", "z": "m + 6", "y": "z + 7", "u": "y + 6", "j": "w + 16", "x": "j + 14", "o": "x + 7", "s": "o + 13", "b": "s + 3", "d": "b + 12", "w": 13}, "premises": {"w": 13}, "target": "u"}, "answer": {"steps": [["y", "z + 7", "z + 13"], ["z", "m + 6", "m + 19"], ["m", "e + 17", "e + 36"], ["e", "h + 17", "h + 53"], ["h", "w + 9", "w + 62"], ["w", 13, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"w": 13}, "is_reverse": true}} | 22,283 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = 13; m = e + 17; e = h + 17; o = x + 7; b = s + 3; z = m + 6; h = w + 9; s = o + 13; j = w + 16; u = y + 6; y = z + 7; d = b + 12; x = j + 14. Given that w = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 7 to u, which gives u = z + 13.\n2. Substitute z = m + 6 to u, which gives u = m + 19.\n3. Substitute m = e + 17 to u, which gives u = e + 36.\n4. Substitute e = h + 17 to u, which gives u = h + 53.\n5. Substitute h = w + 9 to u, which gives u = w + 62.\n6. Substitute w = 13 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 22283,
"question": "Suppose a collection of variables is related by the following definitions: w = 13; m = e + 17; e = h + 17; o = x + 7; b = s + 3; z = m + 6; h = w + 9; s = o + 13; j = w + 16; u = y + 6; y = z + 7; d = b + 12; x = j + 14. Given that w = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 17", "v": "c + 14", "z": "v + 11", "t": "z + 5", "r": "t + 7", "w": "r + 4", "d": "s + 19", "j": "d + 15", "h": "j + 8", "y": "h + 5", "a": "y + 3", "p": "a + 3", "s": 4}, "premises": {"s": 4}, "target": "w"}, "answer": {"steps": [["r", "t + 7", "t + 11"], ["t", "z + 5", "z + 16"], ["z", "v + 11", "v + 27"], ["v", "c + 14", "c + 41"], ["c", "s + 17", "s + 58"], ["s", 4, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"s": 4}, "is_reverse": true}} | 22,284 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 7; p = a + 3; h = j + 8; c = s + 17; v = c + 14; w = r + 4; d = s + 19; t = z + 5; j = d + 15; y = h + 5; s = 4; z = v + 11; a = y + 3. Given that s = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 7 to w, which gives w = t + 11.\n2. Substitute t = z + 5 to w, which gives w = z + 16.\n3. Substitute z = v + 11 to w, which gives w = v + 27.\n4. Substitute v = c + 14 to w, which gives w = c + 41.\n5. Substitute c = s + 17 to w, which gives w = s + 58.\n6. Substitute s = 4 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 22284,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 7; p = a + 3; h = j + 8; c = s + 17; v = c + 14; w = r + 4; d = s + 19; t = z + 5; j = d + 15; y = h + 5; s = 4; z = v + 11; a = y + 3. Given that s = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 18", "h": "l + 16", "o": "h + 2", "u": "o + 4", "c": "u + 13", "e": "c + 12", "a": "v + 14", "w": "a + 10", "j": "w + 7", "b": "j + 18", "d": "b + 2", "i": "d + 18", "v": 5}, "premises": {"v": 5}, "target": "e"}, "answer": {"steps": [["c", "u + 13", "u + 25"], ["u", "o + 4", "o + 29"], ["o", "h + 2", "h + 31"], ["h", "l + 16", "l + 47"], ["l", "v + 18", "v + 65"], ["v", 5, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"v": 5}, "is_reverse": true}} | 22,285 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 18; o = h + 2; h = l + 16; u = o + 4; e = c + 12; d = b + 2; c = u + 13; a = v + 14; b = j + 18; l = v + 18; v = 5; w = a + 10; j = w + 7. If v = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 13 to e, which gives e = u + 25.\n2. Substitute u = o + 4 to e, which gives e = o + 29.\n3. Substitute o = h + 2 to e, which gives e = h + 31.\n4. Substitute h = l + 16 to e, which gives e = l + 47.\n5. Substitute l = v + 18 to e, which gives e = v + 65.\n6. Substitute v = 5 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 22285,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 18; o = h + 2; h = l + 16; u = o + 4; e = c + 12; d = b + 2; c = u + 13; a = v + 14; b = j + 18; l = v + 18; v = 5; w = a + 10; j = w + 7. If v = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 1", "a": "r + 11", "p": "a + 4", "u": "p + 13", "t": "u + 4", "x": "t + 7", "l": "z + 10", "d": "l + 5", "n": "d + 18", "w": "n + 13", "g": "w + 17", "v": "g + 12", "z": 7}, "premises": {"z": 7}, "target": "x"}, "answer": {"steps": [["t", "u + 4", "u + 11"], ["u", "p + 13", "p + 24"], ["p", "a + 4", "a + 28"], ["a", "r + 11", "r + 39"], ["r", "z + 1", "z + 40"], ["z", 7, "47"]], "target_var_name": "x", "target_value": 47, "value_dict": {"z": 7}, "is_reverse": true}} | 22,286 | 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 = 7; x = t + 7; g = w + 17; n = d + 18; d = l + 5; a = r + 11; p = a + 4; u = p + 13; t = u + 4; r = z + 1; l = z + 10; v = g + 12; w = n + 13. If z = 7, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 4 to x, which gives x = u + 11.\n2. Substitute u = p + 13 to x, which gives x = p + 24.\n3. Substitute p = a + 4 to x, which gives x = a + 28.\n4. Substitute a = r + 11 to x, which gives x = r + 39.\n5. Substitute r = z + 1 to x, which gives x = z + 40.\n6. Substitute z = 7 to x, which gives x = 47.\n\nThus, the final answer is x = \\boxed{47}.",
"index": 22286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 7; x = t + 7; g = w + 17; n = d + 18; d = l + 5; a = r + 11; p = a + 4; u = p + 13; t = u + 4; r = z + 1; l = z + 10; v = g + 12; w = n + 13. If z = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 6", "p": "y + 17", "b": "p + 19", "q": "b + 11", "g": "q + 16", "a": "g + 18", "s": "j + 13", "o": "s + 12", "v": "o + 2", "z": "v + 17", "d": "z + 15", "e": "d + 20", "j": 16}, "premises": {"j": 16}, "target": "a"}, "answer": {"steps": [["g", "q + 16", "q + 34"], ["q", "b + 11", "b + 45"], ["b", "p + 19", "p + 64"], ["p", "y + 17", "y + 81"], ["y", "j + 6", "j + 87"], ["j", 16, "103"]], "target_var_name": "a", "target_value": 103, "value_dict": {"j": 16}, "is_reverse": true}} | 22,287 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 16; s = j + 13; y = j + 6; v = o + 2; p = y + 17; z = v + 17; b = p + 19; d = z + 15; e = d + 20; a = g + 18; q = b + 11; g = q + 16; o = s + 12. If j = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 16 to a, which gives a = q + 34.\n2. Substitute q = b + 11 to a, which gives a = b + 45.\n3. Substitute b = p + 19 to a, which gives a = p + 64.\n4. Substitute p = y + 17 to a, which gives a = y + 81.\n5. Substitute y = j + 6 to a, which gives a = j + 87.\n6. Substitute j = 16 to a, which gives a = 103.\n\nThus, the final answer is a = \\boxed{103}.",
"index": 22287,
"question": "Consider a system of variables where each variable is defined as follows: j = 16; s = j + 13; y = j + 6; v = o + 2; p = y + 17; z = v + 17; b = p + 19; d = z + 15; e = d + 20; a = g + 18; q = b + 11; g = q + 16; o = s + 12. If j = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 9", "v": "g + 2", "p": "v + 18", "t": "p + 15", "o": "t + 4", "j": "o + 14", "r": "d + 2", "x": "r + 13", "h": "x + 9", "i": "h + 9", "z": "i + 8", "m": "z + 19", "d": 19}, "premises": {"d": 19}, "target": "j"}, "answer": {"steps": [["o", "t + 4", "t + 18"], ["t", "p + 15", "p + 33"], ["p", "v + 18", "v + 51"], ["v", "g + 2", "g + 53"], ["g", "d + 9", "d + 62"], ["d", 19, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"d": 19}, "is_reverse": true}} | 22,288 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 13; r = d + 2; i = h + 9; o = t + 4; t = p + 15; m = z + 19; g = d + 9; h = x + 9; v = g + 2; d = 19; j = o + 14; p = v + 18; z = i + 8. If d = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 4 to j, which gives j = t + 18.\n2. Substitute t = p + 15 to j, which gives j = p + 33.\n3. Substitute p = v + 18 to j, which gives j = v + 51.\n4. Substitute v = g + 2 to j, which gives j = g + 53.\n5. Substitute g = d + 9 to j, which gives j = d + 62.\n6. Substitute d = 19 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 22288,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 13; r = d + 2; i = h + 9; o = t + 4; t = p + 15; m = z + 19; g = d + 9; h = x + 9; v = g + 2; d = 19; j = o + 14; p = v + 18; z = i + 8. If d = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 8", "b": "p + 6", "a": "b + 6", "o": "a + 12", "n": "o + 2", "w": "n + 13", "h": "j + 15", "g": "h + 12", "f": "g + 18", "i": "f + 1", "k": "i + 13", "l": "k + 6", "j": 13}, "premises": {"j": 13}, "target": "w"}, "answer": {"steps": [["n", "o + 2", "o + 15"], ["o", "a + 12", "a + 27"], ["a", "b + 6", "b + 33"], ["b", "p + 6", "p + 39"], ["p", "j + 8", "j + 47"], ["j", 13, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"j": 13}, "is_reverse": true}} | 22,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 13; l = k + 6; b = p + 6; h = j + 15; o = a + 12; g = h + 12; n = o + 2; i = f + 1; a = b + 6; p = j + 8; j = 13; w = n + 13; f = g + 18. Given that j = 13, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 2 to w, which gives w = o + 15.\n2. Substitute o = a + 12 to w, which gives w = a + 27.\n3. Substitute a = b + 6 to w, which gives w = b + 33.\n4. Substitute b = p + 6 to w, which gives w = p + 39.\n5. Substitute p = j + 8 to w, which gives w = j + 47.\n6. Substitute j = 13 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 22289,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 13; l = k + 6; b = p + 6; h = j + 15; o = a + 12; g = h + 12; n = o + 2; i = f + 1; a = b + 6; p = j + 8; j = 13; w = n + 13; f = g + 18. Given that j = 13, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 11", "t": "a + 4", "z": "t + 5", "p": "z + 11", "k": "p + 3", "x": "k + 7", "q": "b + 19", "f": "q + 10", "v": "f + 8", "y": "v + 18", "n": "y + 4", "e": "n + 17", "b": 5}, "premises": {"b": 5}, "target": "x"}, "answer": {"steps": [["k", "p + 3", "p + 10"], ["p", "z + 11", "z + 21"], ["z", "t + 5", "t + 26"], ["t", "a + 4", "a + 30"], ["a", "b + 11", "b + 41"], ["b", 5, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"b": 5}, "is_reverse": true}} | 22,290 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = p + 3; f = q + 10; t = a + 4; n = y + 4; a = b + 11; z = t + 5; q = b + 19; b = 5; y = v + 18; x = k + 7; p = z + 11; e = n + 17; v = f + 8. If b = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 3 to x, which gives x = p + 10.\n2. Substitute p = z + 11 to x, which gives x = z + 21.\n3. Substitute z = t + 5 to x, which gives x = t + 26.\n4. Substitute t = a + 4 to x, which gives x = a + 30.\n5. Substitute a = b + 11 to x, which gives x = b + 41.\n6. Substitute b = 5 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 22290,
"question": "Consider a system of variables where each variable is defined as follows: k = p + 3; f = q + 10; t = a + 4; n = y + 4; a = b + 11; z = t + 5; q = b + 19; b = 5; y = v + 18; x = k + 7; p = z + 11; e = n + 17; v = f + 8. If b = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 20", "l": "b + 6", "v": "l + 12", "u": "v + 7", "n": "u + 7", "d": "n + 3", "o": "a + 7", "g": "o + 19", "s": "g + 17", "i": "s + 6", "c": "i + 17", "w": "c + 15", "a": 5}, "premises": {"a": 5}, "target": "d"}, "answer": {"steps": [["n", "u + 7", "u + 10"], ["u", "v + 7", "v + 17"], ["v", "l + 12", "l + 29"], ["l", "b + 6", "b + 35"], ["b", "a + 20", "a + 55"], ["a", 5, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"a": 5}, "is_reverse": true}} | 22,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 15; a = 5; u = v + 7; c = i + 17; l = b + 6; g = o + 19; n = u + 7; d = n + 3; b = a + 20; s = g + 17; v = l + 12; i = s + 6; o = a + 7. If a = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 7 to d, which gives d = u + 10.\n2. Substitute u = v + 7 to d, which gives d = v + 17.\n3. Substitute v = l + 12 to d, which gives d = l + 29.\n4. Substitute l = b + 6 to d, which gives d = b + 35.\n5. Substitute b = a + 20 to d, which gives d = a + 55.\n6. Substitute a = 5 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 22291,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 15; a = 5; u = v + 7; c = i + 17; l = b + 6; g = o + 19; n = u + 7; d = n + 3; b = a + 20; s = g + 17; v = l + 12; i = s + 6; o = a + 7. If a = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 14", "u": "o + 5", "b": "u + 1", "h": "b + 7", "c": "h + 6", "l": "c + 8", "p": "y + 5", "x": "p + 8", "e": "x + 5", "s": "e + 13", "r": "s + 16", "j": "r + 13", "y": 17}, "premises": {"y": 17}, "target": "l"}, "answer": {"steps": [["c", "h + 6", "h + 14"], ["h", "b + 7", "b + 21"], ["b", "u + 1", "u + 22"], ["u", "o + 5", "o + 27"], ["o", "y + 14", "y + 41"], ["y", 17, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"y": 17}, "is_reverse": true}} | 22,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 8; e = x + 5; b = u + 1; p = y + 5; j = r + 13; y = 17; h = b + 7; r = s + 16; s = e + 13; l = c + 8; o = y + 14; u = o + 5; c = h + 6. If y = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 6 to l, which gives l = h + 14.\n2. Substitute h = b + 7 to l, which gives l = b + 21.\n3. Substitute b = u + 1 to l, which gives l = u + 22.\n4. Substitute u = o + 5 to l, which gives l = o + 27.\n5. Substitute o = y + 14 to l, which gives l = y + 41.\n6. Substitute y = 17 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 22292,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 8; e = x + 5; b = u + 1; p = y + 5; j = r + 13; y = 17; h = b + 7; r = s + 16; s = e + 13; l = c + 8; o = y + 14; u = o + 5; c = h + 6. If y = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 11", "t": "a + 20", "v": "t + 9", "q": "v + 17", "g": "q + 4", "n": "g + 20", "b": "s + 4", "e": "b + 18", "i": "e + 6", "f": "i + 19", "z": "f + 9", "c": "z + 9", "s": 10}, "premises": {"s": 10}, "target": "n"}, "answer": {"steps": [["g", "q + 4", "q + 24"], ["q", "v + 17", "v + 41"], ["v", "t + 9", "t + 50"], ["t", "a + 20", "a + 70"], ["a", "s + 11", "s + 81"], ["s", 10, "91"]], "target_var_name": "n", "target_value": 91, "value_dict": {"s": 10}, "is_reverse": true}} | 22,293 | 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 + 11; b = s + 4; g = q + 4; f = i + 19; c = z + 9; q = v + 17; e = b + 18; i = e + 6; v = t + 9; s = 10; z = f + 9; t = a + 20; n = g + 20. If s = 10, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 4 to n, which gives n = q + 24.\n2. Substitute q = v + 17 to n, which gives n = v + 41.\n3. Substitute v = t + 9 to n, which gives n = t + 50.\n4. Substitute t = a + 20 to n, which gives n = a + 70.\n5. Substitute a = s + 11 to n, which gives n = s + 81.\n6. Substitute s = 10 to n, which gives n = 91.\n\nThus, the final answer is n = \\boxed{91}.",
"index": 22293,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 11; b = s + 4; g = q + 4; f = i + 19; c = z + 9; q = v + 17; e = b + 18; i = e + 6; v = t + 9; s = 10; z = f + 9; t = a + 20; n = g + 20. If s = 10, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 8", "l": "v + 5", "j": "l + 15", "k": "j + 14", "q": "k + 13", "s": "q + 17", "o": "g + 11", "w": "o + 20", "m": "w + 14", "f": "m + 20", "t": "f + 9", "i": "t + 18", "g": 1}, "premises": {"g": 1}, "target": "s"}, "answer": {"steps": [["q", "k + 13", "k + 30"], ["k", "j + 14", "j + 44"], ["j", "l + 15", "l + 59"], ["l", "v + 5", "v + 64"], ["v", "g + 8", "g + 72"], ["g", 1, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"g": 1}, "is_reverse": true}} | 22,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 8; g = 1; t = f + 9; s = q + 17; i = t + 18; m = w + 14; o = g + 11; q = k + 13; j = l + 15; k = j + 14; f = m + 20; w = o + 20; l = v + 5. Given that g = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 13 to s, which gives s = k + 30.\n2. Substitute k = j + 14 to s, which gives s = j + 44.\n3. Substitute j = l + 15 to s, which gives s = l + 59.\n4. Substitute l = v + 5 to s, which gives s = v + 64.\n5. Substitute v = g + 8 to s, which gives s = g + 72.\n6. Substitute g = 1 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 22294,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 8; g = 1; t = f + 9; s = q + 17; i = t + 18; m = w + 14; o = g + 11; q = k + 13; j = l + 15; k = j + 14; f = m + 20; w = o + 20; l = v + 5. Given that g = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 20", "y": "c + 5", "i": "y + 13", "b": "i + 19", "e": "b + 13", "g": "e + 10", "d": "n + 9", "k": "d + 13", "p": "k + 8", "t": "p + 1", "a": "t + 13", "r": "a + 11", "n": 1}, "premises": {"n": 1}, "target": "g"}, "answer": {"steps": [["e", "b + 13", "b + 23"], ["b", "i + 19", "i + 42"], ["i", "y + 13", "y + 55"], ["y", "c + 5", "c + 60"], ["c", "n + 20", "n + 80"], ["n", 1, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"n": 1}, "is_reverse": true}} | 22,295 | 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 = n + 9; a = t + 13; p = k + 8; e = b + 13; r = a + 11; k = d + 13; b = i + 19; i = y + 13; t = p + 1; n = 1; g = e + 10; y = c + 5; c = n + 20. If n = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 13 to g, which gives g = b + 23.\n2. Substitute b = i + 19 to g, which gives g = i + 42.\n3. Substitute i = y + 13 to g, which gives g = y + 55.\n4. Substitute y = c + 5 to g, which gives g = c + 60.\n5. Substitute c = n + 20 to g, which gives g = n + 80.\n6. Substitute n = 1 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 22295,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 9; a = t + 13; p = k + 8; e = b + 13; r = a + 11; k = d + 13; b = i + 19; i = y + 13; t = p + 1; n = 1; g = e + 10; y = c + 5; c = n + 20. If n = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 6", "k": "q + 19", "y": "k + 17", "a": "y + 10", "u": "a + 7", "z": "u + 7", "c": "o + 15", "p": "c + 7", "i": "p + 5", "s": "i + 12", "m": "s + 1", "h": "m + 15", "o": 16}, "premises": {"o": 16}, "target": "z"}, "answer": {"steps": [["u", "a + 7", "a + 14"], ["a", "y + 10", "y + 24"], ["y", "k + 17", "k + 41"], ["k", "q + 19", "q + 60"], ["q", "o + 6", "o + 66"], ["o", 16, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"o": 16}, "is_reverse": true}} | 22,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 15; s = i + 12; p = c + 7; a = y + 10; y = k + 17; u = a + 7; h = m + 15; k = q + 19; q = o + 6; i = p + 5; m = s + 1; o = 16; z = u + 7. If o = 16, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 7 to z, which gives z = a + 14.\n2. Substitute a = y + 10 to z, which gives z = y + 24.\n3. Substitute y = k + 17 to z, which gives z = k + 41.\n4. Substitute k = q + 19 to z, which gives z = q + 60.\n5. Substitute q = o + 6 to z, which gives z = o + 66.\n6. Substitute o = 16 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 22296,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 15; s = i + 12; p = c + 7; a = y + 10; y = k + 17; u = a + 7; h = m + 15; k = q + 19; q = o + 6; i = p + 5; m = s + 1; o = 16; z = u + 7. If o = 16, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 18", "q": "g + 19", "k": "q + 17", "v": "k + 17", "j": "v + 17", "b": "j + 18", "t": "h + 13", "y": "t + 20", "i": "y + 7", "u": "i + 13", "p": "u + 4", "x": "p + 13", "h": 10}, "premises": {"h": 10}, "target": "b"}, "answer": {"steps": [["j", "v + 17", "v + 35"], ["v", "k + 17", "k + 52"], ["k", "q + 17", "q + 69"], ["q", "g + 19", "g + 88"], ["g", "h + 18", "h + 106"], ["h", 10, "116"]], "target_var_name": "b", "target_value": 116, "value_dict": {"h": 10}, "is_reverse": true}} | 22,297 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 13; q = g + 19; u = i + 13; h = 10; x = p + 13; v = k + 17; k = q + 17; p = u + 4; g = h + 18; b = j + 18; j = v + 17; y = t + 20; i = y + 7. If h = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 116,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 17 to b, which gives b = v + 35.\n2. Substitute v = k + 17 to b, which gives b = k + 52.\n3. Substitute k = q + 17 to b, which gives b = q + 69.\n4. Substitute q = g + 19 to b, which gives b = g + 88.\n5. Substitute g = h + 18 to b, which gives b = h + 106.\n6. Substitute h = 10 to b, which gives b = 116.\n\nThus, the final answer is b = \\boxed{116}.",
"index": 22297,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 13; q = g + 19; u = i + 13; h = 10; x = p + 13; v = k + 17; k = q + 17; p = u + 4; g = h + 18; b = j + 18; j = v + 17; y = t + 20; i = y + 7. If h = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 5", "n": "i + 12", "g": "n + 14", "k": "g + 9", "t": "k + 4", "e": "t + 1", "p": "m + 11", "b": "p + 4", "z": "b + 4", "u": "z + 20", "l": "u + 5", "a": "l + 4", "m": 13}, "premises": {"m": 13}, "target": "e"}, "answer": {"steps": [["t", "k + 4", "k + 5"], ["k", "g + 9", "g + 14"], ["g", "n + 14", "n + 28"], ["n", "i + 12", "i + 40"], ["i", "m + 5", "m + 45"], ["m", 13, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"m": 13}, "is_reverse": true}} | 22,298 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 5; p = m + 11; k = g + 9; b = p + 4; a = l + 4; g = n + 14; e = t + 1; z = b + 4; m = 13; n = i + 12; l = u + 5; u = z + 20; t = k + 4. Given that m = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 4 to e, which gives e = k + 5.\n2. Substitute k = g + 9 to e, which gives e = g + 14.\n3. Substitute g = n + 14 to e, which gives e = n + 28.\n4. Substitute n = i + 12 to e, which gives e = i + 40.\n5. Substitute i = m + 5 to e, which gives e = m + 45.\n6. Substitute m = 13 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 22298,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 5; p = m + 11; k = g + 9; b = p + 4; a = l + 4; g = n + 14; e = t + 1; z = b + 4; m = 13; n = i + 12; l = u + 5; u = z + 20; t = k + 4. Given that m = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 9", "x": "n + 18", "a": "x + 20", "j": "a + 10", "q": "j + 15", "w": "q + 17", "o": "p + 11", "r": "o + 4", "k": "r + 18", "g": "k + 17", "u": "g + 13", "z": "u + 15", "p": 6}, "premises": {"p": 6}, "target": "w"}, "answer": {"steps": [["q", "j + 15", "j + 32"], ["j", "a + 10", "a + 42"], ["a", "x + 20", "x + 62"], ["x", "n + 18", "n + 80"], ["n", "p + 9", "p + 89"], ["p", 6, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"p": 6}, "is_reverse": true}} | 22,299 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 15; w = q + 17; a = x + 20; k = r + 18; x = n + 18; p = 6; r = o + 4; z = u + 15; u = g + 13; g = k + 17; j = a + 10; o = p + 11; n = p + 9. If p = 6, what is the resulting 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 q = j + 15 to w, which gives w = j + 32.\n2. Substitute j = a + 10 to w, which gives w = a + 42.\n3. Substitute a = x + 20 to w, which gives w = x + 62.\n4. Substitute x = n + 18 to w, which gives w = n + 80.\n5. Substitute n = p + 9 to w, which gives w = p + 89.\n6. Substitute p = 6 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 22299,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = j + 15; w = q + 17; a = x + 20; k = r + 18; x = n + 18; p = 6; r = o + 4; z = u + 15; u = g + 13; g = k + 17; j = a + 10; o = p + 11; n = p + 9. If p = 6, what is the resulting value of w?",
"split": "train"
} |
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