meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "h + 8", "d": "y + 11", "v": "d + 10", "x": "v + 14", "b": "x + 6", "g": "b + 8", "u": "h + 14", "q": "u + 1", "n": "q + 4", "l": "n + 4", "w": "l + 3", "t": "w + 17", "h": 4}, "premises": {"h": 4}, "target": "g"}, "answer": {"steps": [["b", "x + 6", "x + 14"], ["x", "v + 14", "v + 28"], ["v", "d + 10", "d + 38"], ["d", "y + 11", "y + 49"], ["y", "h + 8", "h + 57"], ["h", 4, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"h": 4}, "is_reverse": true}} | 18,200 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 8; u = h + 14; n = q + 4; t = w + 17; v = d + 10; g = b + 8; q = u + 1; d = y + 11; x = v + 14; b = x + 6; w = l + 3; h = 4; l = n + 4. Given that h = 4, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to g, which gives g = x + 14.\n2. Substitute x = v + 14 to g, which gives g = v + 28.\n3. Substitute v = d + 10 to g, which gives g = d + 38.\n4. Substitute d = y + 11 to g, which gives g = y + 49.\n5. Substitute y = h + 8 to g, which gives g = h + 57.\n6. Substitute h = 4 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 18200,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 8; u = h + 14; n = q + 4; t = w + 17; v = d + 10; g = b + 8; q = u + 1; d = y + 11; x = v + 14; b = x + 6; w = l + 3; h = 4; l = n + 4. Given that h = 4, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 15", "x": "f + 17", "v": "x + 9", "e": "v + 20", "i": "e + 8", "j": "i + 9", "g": "o + 9", "a": "g + 16", "p": "a + 8", "t": "p + 18", "r": "t + 16", "c": "r + 4", "o": 12}, "premises": {"o": 12}, "target": "j"}, "answer": {"steps": [["i", "e + 8", "e + 17"], ["e", "v + 20", "v + 37"], ["v", "x + 9", "x + 46"], ["x", "f + 17", "f + 63"], ["f", "o + 15", "o + 78"], ["o", 12, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"o": 12}, "is_reverse": true}} | 18,201 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 16; i = e + 8; t = p + 18; c = r + 4; a = g + 16; j = i + 9; o = 12; e = v + 20; g = o + 9; v = x + 9; x = f + 17; p = a + 8; f = o + 15. Given that o = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 8 to j, which gives j = e + 17.\n2. Substitute e = v + 20 to j, which gives j = v + 37.\n3. Substitute v = x + 9 to j, which gives j = x + 46.\n4. Substitute x = f + 17 to j, which gives j = f + 63.\n5. Substitute f = o + 15 to j, which gives j = o + 78.\n6. Substitute o = 12 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 18201,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 16; i = e + 8; t = p + 18; c = r + 4; a = g + 16; j = i + 9; o = 12; e = v + 20; g = o + 9; v = x + 9; x = f + 17; p = a + 8; f = o + 15. Given that o = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 19", "m": "f + 4", "e": "m + 18", "w": "e + 20", "x": "w + 14", "i": "x + 3", "v": "d + 16", "t": "v + 19", "n": "t + 19", "c": "n + 11", "k": "c + 11", "p": "k + 7", "d": 13}, "premises": {"d": 13}, "target": "i"}, "answer": {"steps": [["x", "w + 14", "w + 17"], ["w", "e + 20", "e + 37"], ["e", "m + 18", "m + 55"], ["m", "f + 4", "f + 59"], ["f", "d + 19", "d + 78"], ["d", 13, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"d": 13}, "is_reverse": true}} | 18,202 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 7; t = v + 19; x = w + 14; m = f + 4; n = t + 19; k = c + 11; v = d + 16; e = m + 18; f = d + 19; i = x + 3; c = n + 11; w = e + 20; d = 13. Given that d = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 14 to i, which gives i = w + 17.\n2. Substitute w = e + 20 to i, which gives i = e + 37.\n3. Substitute e = m + 18 to i, which gives i = m + 55.\n4. Substitute m = f + 4 to i, which gives i = f + 59.\n5. Substitute f = d + 19 to i, which gives i = d + 78.\n6. Substitute d = 13 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 18202,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 7; t = v + 19; x = w + 14; m = f + 4; n = t + 19; k = c + 11; v = d + 16; e = m + 18; f = d + 19; i = x + 3; c = n + 11; w = e + 20; d = 13. Given that d = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 11", "j": "i + 18", "d": "j + 17", "b": "d + 17", "o": "b + 7", "x": "o + 1", "w": "y + 16", "c": "w + 16", "r": "c + 2", "z": "r + 19", "q": "z + 20", "t": "q + 1", "y": 6}, "premises": {"y": 6}, "target": "x"}, "answer": {"steps": [["o", "b + 7", "b + 8"], ["b", "d + 17", "d + 25"], ["d", "j + 17", "j + 42"], ["j", "i + 18", "i + 60"], ["i", "y + 11", "y + 71"], ["y", 6, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"y": 6}, "is_reverse": true}} | 18,203 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 17; w = y + 16; r = c + 2; z = r + 19; t = q + 1; o = b + 7; i = y + 11; c = w + 16; q = z + 20; y = 6; x = o + 1; d = j + 17; j = i + 18. If y = 6, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 7 to x, which gives x = b + 8.\n2. Substitute b = d + 17 to x, which gives x = d + 25.\n3. Substitute d = j + 17 to x, which gives x = j + 42.\n4. Substitute j = i + 18 to x, which gives x = i + 60.\n5. Substitute i = y + 11 to x, which gives x = y + 71.\n6. Substitute y = 6 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 18203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 17; w = y + 16; r = c + 2; z = r + 19; t = q + 1; o = b + 7; i = y + 11; c = w + 16; q = z + 20; y = 6; x = o + 1; d = j + 17; j = i + 18. If y = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 1", "y": "w + 6", "l": "y + 20", "h": "l + 7", "k": "h + 6", "g": "k + 15", "d": "u + 9", "o": "d + 1", "n": "o + 13", "t": "n + 13", "c": "t + 20", "m": "c + 20", "u": 19}, "premises": {"u": 19}, "target": "g"}, "answer": {"steps": [["k", "h + 6", "h + 21"], ["h", "l + 7", "l + 28"], ["l", "y + 20", "y + 48"], ["y", "w + 6", "w + 54"], ["w", "u + 1", "u + 55"], ["u", 19, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"u": 19}, "is_reverse": true}} | 18,204 | 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 = c + 20; t = n + 13; h = l + 7; u = 19; o = d + 1; k = h + 6; d = u + 9; g = k + 15; w = u + 1; c = t + 20; y = w + 6; l = y + 20; n = o + 13. If u = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 6 to g, which gives g = h + 21.\n2. Substitute h = l + 7 to g, which gives g = l + 28.\n3. Substitute l = y + 20 to g, which gives g = y + 48.\n4. Substitute y = w + 6 to g, which gives g = w + 54.\n5. Substitute w = u + 1 to g, which gives g = u + 55.\n6. Substitute u = 19 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 18204,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 20; t = n + 13; h = l + 7; u = 19; o = d + 1; k = h + 6; d = u + 9; g = k + 15; w = u + 1; c = t + 20; y = w + 6; l = y + 20; n = o + 13. If u = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 7", "n": "v + 16", "j": "n + 18", "s": "j + 1", "q": "s + 9", "b": "q + 16", "m": "e + 5", "x": "m + 12", "i": "x + 16", "d": "i + 14", "h": "d + 15", "c": "h + 12", "e": 10}, "premises": {"e": 10}, "target": "b"}, "answer": {"steps": [["q", "s + 9", "s + 25"], ["s", "j + 1", "j + 26"], ["j", "n + 18", "n + 44"], ["n", "v + 16", "v + 60"], ["v", "e + 7", "e + 67"], ["e", 10, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"e": 10}, "is_reverse": true}} | 18,205 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = m + 12; v = e + 7; m = e + 5; c = h + 12; n = v + 16; j = n + 18; q = s + 9; s = j + 1; d = i + 14; b = q + 16; i = x + 16; h = d + 15; e = 10. If e = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 9 to b, which gives b = s + 25.\n2. Substitute s = j + 1 to b, which gives b = j + 26.\n3. Substitute j = n + 18 to b, which gives b = n + 44.\n4. Substitute n = v + 16 to b, which gives b = v + 60.\n5. Substitute v = e + 7 to b, which gives b = e + 67.\n6. Substitute e = 10 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 18205,
"question": "Consider a system of variables where each variable is defined as follows: x = m + 12; v = e + 7; m = e + 5; c = h + 12; n = v + 16; j = n + 18; q = s + 9; s = j + 1; d = i + 14; b = q + 16; i = x + 16; h = d + 15; e = 10. If e = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 19", "n": "i + 13", "d": "n + 13", "x": "d + 17", "z": "x + 1", "b": "z + 2", "e": "o + 14", "m": "e + 12", "p": "m + 9", "t": "p + 7", "l": "t + 3", "k": "l + 19", "o": 7}, "premises": {"o": 7}, "target": "b"}, "answer": {"steps": [["z", "x + 1", "x + 3"], ["x", "d + 17", "d + 20"], ["d", "n + 13", "n + 33"], ["n", "i + 13", "i + 46"], ["i", "o + 19", "o + 65"], ["o", 7, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"o": 7}, "is_reverse": true}} | 18,206 | 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 = 7; k = l + 19; i = o + 19; m = e + 12; t = p + 7; p = m + 9; b = z + 2; l = t + 3; z = x + 1; e = o + 14; d = n + 13; x = d + 17; n = i + 13. If o = 7, what is the resulting 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 z = x + 1 to b, which gives b = x + 3.\n2. Substitute x = d + 17 to b, which gives b = d + 20.\n3. Substitute d = n + 13 to b, which gives b = n + 33.\n4. Substitute n = i + 13 to b, which gives b = i + 46.\n5. Substitute i = o + 19 to b, which gives b = o + 65.\n6. Substitute o = 7 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 18206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 7; k = l + 19; i = o + 19; m = e + 12; t = p + 7; p = m + 9; b = z + 2; l = t + 3; z = x + 1; e = o + 14; d = n + 13; x = d + 17; n = i + 13. If o = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 16", "z": "a + 2", "w": "z + 10", "r": "w + 4", "x": "r + 18", "d": "x + 8", "o": "g + 14", "i": "o + 15", "u": "i + 13", "p": "u + 19", "m": "p + 1", "t": "m + 14", "g": 12}, "premises": {"g": 12}, "target": "d"}, "answer": {"steps": [["x", "r + 18", "r + 26"], ["r", "w + 4", "w + 30"], ["w", "z + 10", "z + 40"], ["z", "a + 2", "a + 42"], ["a", "g + 16", "g + 58"], ["g", 12, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"g": 12}, "is_reverse": true}} | 18,207 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 15; g = 12; u = i + 13; w = z + 10; p = u + 19; r = w + 4; x = r + 18; z = a + 2; t = m + 14; a = g + 16; d = x + 8; o = g + 14; m = p + 1. If g = 12, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 18 to d, which gives d = r + 26.\n2. Substitute r = w + 4 to d, which gives d = w + 30.\n3. Substitute w = z + 10 to d, which gives d = z + 40.\n4. Substitute z = a + 2 to d, which gives d = a + 42.\n5. Substitute a = g + 16 to d, which gives d = g + 58.\n6. Substitute g = 12 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 18207,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 15; g = 12; u = i + 13; w = z + 10; p = u + 19; r = w + 4; x = r + 18; z = a + 2; t = m + 14; a = g + 16; d = x + 8; o = g + 14; m = p + 1. If g = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 11", "f": "l + 4", "x": "f + 20", "s": "x + 9", "n": "s + 20", "u": "n + 18", "t": "v + 11", "d": "t + 10", "o": "d + 16", "y": "o + 5", "h": "y + 17", "c": "h + 9", "v": 8}, "premises": {"v": 8}, "target": "u"}, "answer": {"steps": [["n", "s + 20", "s + 38"], ["s", "x + 9", "x + 47"], ["x", "f + 20", "f + 67"], ["f", "l + 4", "l + 71"], ["l", "v + 11", "v + 82"], ["v", 8, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"v": 8}, "is_reverse": true}} | 18,208 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 4; t = v + 11; h = y + 17; y = o + 5; s = x + 9; d = t + 10; u = n + 18; x = f + 20; c = h + 9; n = s + 20; o = d + 16; l = v + 11; v = 8. Given that v = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 20 to u, which gives u = s + 38.\n2. Substitute s = x + 9 to u, which gives u = x + 47.\n3. Substitute x = f + 20 to u, which gives u = f + 67.\n4. Substitute f = l + 4 to u, which gives u = l + 71.\n5. Substitute l = v + 11 to u, which gives u = v + 82.\n6. Substitute v = 8 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 18208,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 4; t = v + 11; h = y + 17; y = o + 5; s = x + 9; d = t + 10; u = n + 18; x = f + 20; c = h + 9; n = s + 20; o = d + 16; l = v + 11; v = 8. Given that v = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 13", "f": "h + 13", "t": "f + 14", "l": "t + 14", "m": "l + 15", "e": "m + 11", "u": "k + 13", "j": "u + 13", "v": "j + 6", "p": "v + 7", "x": "p + 11", "g": "x + 13", "k": 1}, "premises": {"k": 1}, "target": "e"}, "answer": {"steps": [["m", "l + 15", "l + 26"], ["l", "t + 14", "t + 40"], ["t", "f + 14", "f + 54"], ["f", "h + 13", "h + 67"], ["h", "k + 13", "k + 80"], ["k", 1, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"k": 1}, "is_reverse": true}} | 18,209 | 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 = 1; j = u + 13; h = k + 13; e = m + 11; m = l + 15; x = p + 11; l = t + 14; p = v + 7; v = j + 6; t = f + 14; g = x + 13; u = k + 13; f = h + 13. If k = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 15 to e, which gives e = l + 26.\n2. Substitute l = t + 14 to e, which gives e = t + 40.\n3. Substitute t = f + 14 to e, which gives e = f + 54.\n4. Substitute f = h + 13 to e, which gives e = h + 67.\n5. Substitute h = k + 13 to e, which gives e = k + 80.\n6. Substitute k = 1 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 18209,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 1; j = u + 13; h = k + 13; e = m + 11; m = l + 15; x = p + 11; l = t + 14; p = v + 7; v = j + 6; t = f + 14; g = x + 13; u = k + 13; f = h + 13. If k = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 3", "c": "i + 19", "v": "c + 11", "w": "v + 17", "s": "w + 19", "h": "s + 6", "g": "a + 12", "j": "g + 18", "m": "j + 5", "t": "m + 2", "u": "t + 14", "x": "u + 11", "a": 11}, "premises": {"a": 11}, "target": "h"}, "answer": {"steps": [["s", "w + 19", "w + 25"], ["w", "v + 17", "v + 42"], ["v", "c + 11", "c + 53"], ["c", "i + 19", "i + 72"], ["i", "a + 3", "a + 75"], ["a", 11, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"a": 11}, "is_reverse": true}} | 18,210 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 11; m = j + 5; t = m + 2; i = a + 3; x = u + 11; w = v + 17; a = 11; s = w + 19; j = g + 18; u = t + 14; h = s + 6; c = i + 19; g = a + 12. If a = 11, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 19 to h, which gives h = w + 25.\n2. Substitute w = v + 17 to h, which gives h = v + 42.\n3. Substitute v = c + 11 to h, which gives h = c + 53.\n4. Substitute c = i + 19 to h, which gives h = i + 72.\n5. Substitute i = a + 3 to h, which gives h = a + 75.\n6. Substitute a = 11 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 18210,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 11; m = j + 5; t = m + 2; i = a + 3; x = u + 11; w = v + 17; a = 11; s = w + 19; j = g + 18; u = t + 14; h = s + 6; c = i + 19; g = a + 12. If a = 11, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 11", "f": "i + 10", "g": "f + 15", "w": "g + 6", "x": "w + 8", "s": "x + 4", "p": "d + 14", "c": "p + 6", "l": "c + 15", "o": "l + 14", "u": "o + 5", "h": "u + 10", "d": 4}, "premises": {"d": 4}, "target": "s"}, "answer": {"steps": [["x", "w + 8", "w + 12"], ["w", "g + 6", "g + 18"], ["g", "f + 15", "f + 33"], ["f", "i + 10", "i + 43"], ["i", "d + 11", "d + 54"], ["d", 4, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"d": 4}, "is_reverse": true}} | 18,211 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 11; o = l + 14; s = x + 4; w = g + 6; x = w + 8; d = 4; l = c + 15; g = f + 15; u = o + 5; c = p + 6; h = u + 10; f = i + 10; p = d + 14. If d = 4, 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 x = w + 8 to s, which gives s = w + 12.\n2. Substitute w = g + 6 to s, which gives s = g + 18.\n3. Substitute g = f + 15 to s, which gives s = f + 33.\n4. Substitute f = i + 10 to s, which gives s = i + 43.\n5. Substitute i = d + 11 to s, which gives s = d + 54.\n6. Substitute d = 4 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 18211,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 11; o = l + 14; s = x + 4; w = g + 6; x = w + 8; d = 4; l = c + 15; g = f + 15; u = o + 5; c = p + 6; h = u + 10; f = i + 10; p = d + 14. If d = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 9", "z": "y + 9", "l": "z + 17", "b": "l + 16", "e": "b + 14", "v": "e + 8", "p": "w + 19", "u": "p + 7", "g": "u + 19", "d": "g + 14", "t": "d + 15", "j": "t + 7", "w": 9}, "premises": {"w": 9}, "target": "v"}, "answer": {"steps": [["e", "b + 14", "b + 22"], ["b", "l + 16", "l + 38"], ["l", "z + 17", "z + 55"], ["z", "y + 9", "y + 64"], ["y", "w + 9", "w + 73"], ["w", 9, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"w": 9}, "is_reverse": true}} | 18,212 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 9; b = l + 16; g = u + 19; w = 9; z = y + 9; p = w + 19; t = d + 15; e = b + 14; l = z + 17; d = g + 14; u = p + 7; j = t + 7; v = e + 8. If w = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 14 to v, which gives v = b + 22.\n2. Substitute b = l + 16 to v, which gives v = l + 38.\n3. Substitute l = z + 17 to v, which gives v = z + 55.\n4. Substitute z = y + 9 to v, which gives v = y + 64.\n5. Substitute y = w + 9 to v, which gives v = w + 73.\n6. Substitute w = 9 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 18212,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 9; b = l + 16; g = u + 19; w = 9; z = y + 9; p = w + 19; t = d + 15; e = b + 14; l = z + 17; d = g + 14; u = p + 7; j = t + 7; v = e + 8. If w = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 6", "i": "n + 9", "m": "i + 4", "j": "m + 16", "t": "j + 20", "r": "t + 17", "k": "v + 10", "u": "k + 12", "f": "u + 13", "q": "f + 11", "s": "q + 13", "l": "s + 4", "v": 10}, "premises": {"v": 10}, "target": "r"}, "answer": {"steps": [["t", "j + 20", "j + 37"], ["j", "m + 16", "m + 53"], ["m", "i + 4", "i + 57"], ["i", "n + 9", "n + 66"], ["n", "v + 6", "v + 72"], ["v", 10, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"v": 10}, "is_reverse": true}} | 18,213 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = k + 12; n = v + 6; i = n + 9; r = t + 17; v = 10; s = q + 13; j = m + 16; f = u + 13; t = j + 20; k = v + 10; q = f + 11; m = i + 4; l = s + 4. If v = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 20 to r, which gives r = j + 37.\n2. Substitute j = m + 16 to r, which gives r = m + 53.\n3. Substitute m = i + 4 to r, which gives r = i + 57.\n4. Substitute i = n + 9 to r, which gives r = n + 66.\n5. Substitute n = v + 6 to r, which gives r = v + 72.\n6. Substitute v = 10 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 18213,
"question": "Consider a system of variables where each variable is defined as follows: u = k + 12; n = v + 6; i = n + 9; r = t + 17; v = 10; s = q + 13; j = m + 16; f = u + 13; t = j + 20; k = v + 10; q = f + 11; m = i + 4; l = s + 4. If v = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 8", "h": "f + 7", "b": "h + 8", "c": "b + 3", "l": "c + 2", "e": "l + 5", "g": "q + 11", "j": "g + 12", "o": "j + 5", "v": "o + 20", "m": "v + 5", "p": "m + 11", "q": 8}, "premises": {"q": 8}, "target": "e"}, "answer": {"steps": [["l", "c + 2", "c + 7"], ["c", "b + 3", "b + 10"], ["b", "h + 8", "h + 18"], ["h", "f + 7", "f + 25"], ["f", "q + 8", "q + 33"], ["q", 8, "41"]], "target_var_name": "e", "target_value": 41, "value_dict": {"q": 8}, "is_reverse": true}} | 18,214 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = b + 3; h = f + 7; o = j + 5; m = v + 5; j = g + 12; e = l + 5; g = q + 11; q = 8; b = h + 8; p = m + 11; v = o + 20; l = c + 2; f = q + 8. Given that q = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 2 to e, which gives e = c + 7.\n2. Substitute c = b + 3 to e, which gives e = b + 10.\n3. Substitute b = h + 8 to e, which gives e = h + 18.\n4. Substitute h = f + 7 to e, which gives e = f + 25.\n5. Substitute f = q + 8 to e, which gives e = q + 33.\n6. Substitute q = 8 to e, which gives e = 41.\n\nThus, the final answer is e = \\boxed{41}.",
"index": 18214,
"question": "Suppose a collection of variables is related by the following definitions: c = b + 3; h = f + 7; o = j + 5; m = v + 5; j = g + 12; e = l + 5; g = q + 11; q = 8; b = h + 8; p = m + 11; v = o + 20; l = c + 2; f = q + 8. Given that q = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 1", "v": "j + 17", "l": "v + 15", "n": "l + 16", "r": "n + 8", "k": "r + 3", "c": "u + 9", "y": "c + 4", "i": "y + 1", "f": "i + 17", "b": "f + 20", "p": "b + 13", "u": 6}, "premises": {"u": 6}, "target": "k"}, "answer": {"steps": [["r", "n + 8", "n + 11"], ["n", "l + 16", "l + 27"], ["l", "v + 15", "v + 42"], ["v", "j + 17", "j + 59"], ["j", "u + 1", "u + 60"], ["u", 6, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"u": 6}, "is_reverse": true}} | 18,215 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 3; r = n + 8; j = u + 1; i = y + 1; f = i + 17; l = v + 15; y = c + 4; v = j + 17; b = f + 20; n = l + 16; c = u + 9; u = 6; p = b + 13. Given that u = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 8 to k, which gives k = n + 11.\n2. Substitute n = l + 16 to k, which gives k = l + 27.\n3. Substitute l = v + 15 to k, which gives k = v + 42.\n4. Substitute v = j + 17 to k, which gives k = j + 59.\n5. Substitute j = u + 1 to k, which gives k = u + 60.\n6. Substitute u = 6 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 18215,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 3; r = n + 8; j = u + 1; i = y + 1; f = i + 17; l = v + 15; y = c + 4; v = j + 17; b = f + 20; n = l + 16; c = u + 9; u = 6; p = b + 13. Given that u = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 11", "l": "n + 19", "h": "l + 15", "a": "h + 12", "q": "a + 19", "x": "q + 17", "i": "b + 9", "o": "i + 6", "e": "o + 3", "y": "e + 7", "m": "y + 9", "k": "m + 14", "b": 12}, "premises": {"b": 12}, "target": "x"}, "answer": {"steps": [["q", "a + 19", "a + 36"], ["a", "h + 12", "h + 48"], ["h", "l + 15", "l + 63"], ["l", "n + 19", "n + 82"], ["n", "b + 11", "b + 93"], ["b", 12, "105"]], "target_var_name": "x", "target_value": 105, "value_dict": {"b": 12}, "is_reverse": true}} | 18,216 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 6; l = n + 19; y = e + 7; i = b + 9; x = q + 17; b = 12; m = y + 9; n = b + 11; q = a + 19; e = o + 3; a = h + 12; h = l + 15; k = m + 14. If b = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 19 to x, which gives x = a + 36.\n2. Substitute a = h + 12 to x, which gives x = h + 48.\n3. Substitute h = l + 15 to x, which gives x = l + 63.\n4. Substitute l = n + 19 to x, which gives x = n + 82.\n5. Substitute n = b + 11 to x, which gives x = b + 93.\n6. Substitute b = 12 to x, which gives x = 105.\n\nThus, the final answer is x = \\boxed{105}.",
"index": 18216,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 6; l = n + 19; y = e + 7; i = b + 9; x = q + 17; b = 12; m = y + 9; n = b + 11; q = a + 19; e = o + 3; a = h + 12; h = l + 15; k = m + 14. If b = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 19", "r": "i + 20", "w": "r + 5", "b": "w + 12", "d": "b + 7", "j": "d + 4", "h": "c + 17", "l": "h + 9", "z": "l + 3", "v": "z + 14", "f": "v + 7", "y": "f + 17", "c": 17}, "premises": {"c": 17}, "target": "j"}, "answer": {"steps": [["d", "b + 7", "b + 11"], ["b", "w + 12", "w + 23"], ["w", "r + 5", "r + 28"], ["r", "i + 20", "i + 48"], ["i", "c + 19", "c + 67"], ["c", 17, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"c": 17}, "is_reverse": true}} | 18,217 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 14; f = v + 7; b = w + 12; w = r + 5; y = f + 17; h = c + 17; r = i + 20; j = d + 4; i = c + 19; z = l + 3; c = 17; l = h + 9; d = b + 7. If c = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 7 to j, which gives j = b + 11.\n2. Substitute b = w + 12 to j, which gives j = w + 23.\n3. Substitute w = r + 5 to j, which gives j = r + 28.\n4. Substitute r = i + 20 to j, which gives j = i + 48.\n5. Substitute i = c + 19 to j, which gives j = c + 67.\n6. Substitute c = 17 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 18217,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 14; f = v + 7; b = w + 12; w = r + 5; y = f + 17; h = c + 17; r = i + 20; j = d + 4; i = c + 19; z = l + 3; c = 17; l = h + 9; d = b + 7. If c = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 10", "p": "z + 11", "f": "p + 4", "d": "f + 20", "u": "d + 17", "c": "u + 5", "q": "k + 13", "v": "q + 13", "h": "v + 7", "a": "h + 17", "t": "a + 1", "x": "t + 5", "k": 16}, "premises": {"k": 16}, "target": "c"}, "answer": {"steps": [["u", "d + 17", "d + 22"], ["d", "f + 20", "f + 42"], ["f", "p + 4", "p + 46"], ["p", "z + 11", "z + 57"], ["z", "k + 10", "k + 67"], ["k", 16, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"k": 16}, "is_reverse": true}} | 18,218 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 10; c = u + 5; v = q + 13; t = a + 1; q = k + 13; p = z + 11; x = t + 5; k = 16; f = p + 4; h = v + 7; d = f + 20; a = h + 17; u = d + 17. If k = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 17 to c, which gives c = d + 22.\n2. Substitute d = f + 20 to c, which gives c = f + 42.\n3. Substitute f = p + 4 to c, which gives c = p + 46.\n4. Substitute p = z + 11 to c, which gives c = z + 57.\n5. Substitute z = k + 10 to c, which gives c = k + 67.\n6. Substitute k = 16 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 18218,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 10; c = u + 5; v = q + 13; t = a + 1; q = k + 13; p = z + 11; x = t + 5; k = 16; f = p + 4; h = v + 7; d = f + 20; a = h + 17; u = d + 17. If k = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 17", "n": "o + 15", "x": "n + 3", "p": "x + 17", "v": "p + 4", "c": "v + 5", "y": "t + 7", "i": "y + 8", "h": "i + 8", "u": "h + 3", "l": "u + 17", "g": "l + 14", "t": 9}, "premises": {"t": 9}, "target": "c"}, "answer": {"steps": [["v", "p + 4", "p + 9"], ["p", "x + 17", "x + 26"], ["x", "n + 3", "n + 29"], ["n", "o + 15", "o + 44"], ["o", "t + 17", "t + 61"], ["t", 9, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"t": 9}, "is_reverse": true}} | 18,219 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 15; y = t + 7; v = p + 4; t = 9; x = n + 3; l = u + 17; i = y + 8; o = t + 17; u = h + 3; g = l + 14; h = i + 8; p = x + 17; c = v + 5. If t = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 4 to c, which gives c = p + 9.\n2. Substitute p = x + 17 to c, which gives c = x + 26.\n3. Substitute x = n + 3 to c, which gives c = n + 29.\n4. Substitute n = o + 15 to c, which gives c = o + 44.\n5. Substitute o = t + 17 to c, which gives c = t + 61.\n6. Substitute t = 9 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 18219,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 15; y = t + 7; v = p + 4; t = 9; x = n + 3; l = u + 17; i = y + 8; o = t + 17; u = h + 3; g = l + 14; h = i + 8; p = x + 17; c = v + 5. If t = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 10", "k": "i + 18", "c": "k + 6", "q": "c + 18", "j": "q + 6", "m": "j + 7", "d": "w + 5", "l": "d + 9", "v": "l + 12", "o": "v + 14", "h": "o + 9", "n": "h + 3", "w": 1}, "premises": {"w": 1}, "target": "m"}, "answer": {"steps": [["j", "q + 6", "q + 13"], ["q", "c + 18", "c + 31"], ["c", "k + 6", "k + 37"], ["k", "i + 18", "i + 55"], ["i", "w + 10", "w + 65"], ["w", 1, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"w": 1}, "is_reverse": true}} | 18,220 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 1; m = j + 7; l = d + 9; i = w + 10; v = l + 12; k = i + 18; h = o + 9; q = c + 18; j = q + 6; n = h + 3; d = w + 5; c = k + 6; o = v + 14. If w = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 6 to m, which gives m = q + 13.\n2. Substitute q = c + 18 to m, which gives m = c + 31.\n3. Substitute c = k + 6 to m, which gives m = k + 37.\n4. Substitute k = i + 18 to m, which gives m = i + 55.\n5. Substitute i = w + 10 to m, which gives m = w + 65.\n6. Substitute w = 1 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 18220,
"question": "Consider a system of variables where each variable is defined as follows: w = 1; m = j + 7; l = d + 9; i = w + 10; v = l + 12; k = i + 18; h = o + 9; q = c + 18; j = q + 6; n = h + 3; d = w + 5; c = k + 6; o = v + 14. If w = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 17", "q": "z + 2", "t": "q + 5", "n": "t + 6", "b": "n + 4", "s": "b + 2", "u": "l + 19", "h": "u + 12", "i": "h + 1", "v": "i + 7", "m": "v + 5", "p": "m + 10", "l": 16}, "premises": {"l": 16}, "target": "s"}, "answer": {"steps": [["b", "n + 4", "n + 6"], ["n", "t + 6", "t + 12"], ["t", "q + 5", "q + 17"], ["q", "z + 2", "z + 19"], ["z", "l + 17", "l + 36"], ["l", 16, "52"]], "target_var_name": "s", "target_value": 52, "value_dict": {"l": 16}, "is_reverse": true}} | 18,221 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 19; i = h + 1; m = v + 5; s = b + 2; p = m + 10; b = n + 4; t = q + 5; l = 16; v = i + 7; q = z + 2; n = t + 6; h = u + 12; z = l + 17. If l = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 4 to s, which gives s = n + 6.\n2. Substitute n = t + 6 to s, which gives s = t + 12.\n3. Substitute t = q + 5 to s, which gives s = q + 17.\n4. Substitute q = z + 2 to s, which gives s = z + 19.\n5. Substitute z = l + 17 to s, which gives s = l + 36.\n6. Substitute l = 16 to s, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 18221,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 19; i = h + 1; m = v + 5; s = b + 2; p = m + 10; b = n + 4; t = q + 5; l = 16; v = i + 7; q = z + 2; n = t + 6; h = u + 12; z = l + 17. If l = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 18", "h": "j + 10", "c": "h + 1", "t": "c + 12", "p": "t + 1", "a": "p + 11", "l": "r + 19", "s": "l + 13", "m": "s + 6", "n": "m + 13", "x": "n + 2", "g": "x + 2", "r": 11}, "premises": {"r": 11}, "target": "a"}, "answer": {"steps": [["p", "t + 1", "t + 12"], ["t", "c + 12", "c + 24"], ["c", "h + 1", "h + 25"], ["h", "j + 10", "j + 35"], ["j", "r + 18", "r + 53"], ["r", 11, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"r": 11}, "is_reverse": true}} | 18,222 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 19; s = l + 13; a = p + 11; g = x + 2; t = c + 12; p = t + 1; c = h + 1; m = s + 6; n = m + 13; j = r + 18; x = n + 2; h = j + 10; r = 11. If r = 11, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 1 to a, which gives a = t + 12.\n2. Substitute t = c + 12 to a, which gives a = c + 24.\n3. Substitute c = h + 1 to a, which gives a = h + 25.\n4. Substitute h = j + 10 to a, which gives a = j + 35.\n5. Substitute j = r + 18 to a, which gives a = r + 53.\n6. Substitute r = 11 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 18222,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 19; s = l + 13; a = p + 11; g = x + 2; t = c + 12; p = t + 1; c = h + 1; m = s + 6; n = m + 13; j = r + 18; x = n + 2; h = j + 10; r = 11. If r = 11, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 12", "s": "k + 10", "i": "s + 11", "u": "i + 17", "b": "u + 2", "z": "b + 8", "j": "d + 16", "l": "j + 18", "f": "l + 20", "m": "f + 14", "q": "m + 9", "g": "q + 1", "d": 7}, "premises": {"d": 7}, "target": "z"}, "answer": {"steps": [["b", "u + 2", "u + 10"], ["u", "i + 17", "i + 27"], ["i", "s + 11", "s + 38"], ["s", "k + 10", "k + 48"], ["k", "d + 12", "d + 60"], ["d", 7, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"d": 7}, "is_reverse": true}} | 18,223 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = q + 1; u = i + 17; m = f + 14; i = s + 11; q = m + 9; b = u + 2; j = d + 16; d = 7; s = k + 10; l = j + 18; z = b + 8; f = l + 20; k = d + 12. If d = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 2 to z, which gives z = u + 10.\n2. Substitute u = i + 17 to z, which gives z = i + 27.\n3. Substitute i = s + 11 to z, which gives z = s + 38.\n4. Substitute s = k + 10 to z, which gives z = k + 48.\n5. Substitute k = d + 12 to z, which gives z = d + 60.\n6. Substitute d = 7 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 18223,
"question": "Consider a system of variables where each variable is defined as follows: g = q + 1; u = i + 17; m = f + 14; i = s + 11; q = m + 9; b = u + 2; j = d + 16; d = 7; s = k + 10; l = j + 18; z = b + 8; f = l + 20; k = d + 12. If d = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 14", "o": "h + 4", "k": "o + 8", "d": "k + 19", "m": "d + 6", "f": "m + 1", "i": "y + 11", "u": "i + 18", "l": "u + 3", "t": "l + 5", "g": "t + 14", "a": "g + 7", "y": 8}, "premises": {"y": 8}, "target": "f"}, "answer": {"steps": [["m", "d + 6", "d + 7"], ["d", "k + 19", "k + 26"], ["k", "o + 8", "o + 34"], ["o", "h + 4", "h + 38"], ["h", "y + 14", "y + 52"], ["y", 8, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"y": 8}, "is_reverse": true}} | 18,224 | 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 = y + 11; d = k + 19; g = t + 14; m = d + 6; o = h + 4; u = i + 18; t = l + 5; a = g + 7; k = o + 8; l = u + 3; y = 8; h = y + 14; f = m + 1. If y = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 6 to f, which gives f = d + 7.\n2. Substitute d = k + 19 to f, which gives f = k + 26.\n3. Substitute k = o + 8 to f, which gives f = o + 34.\n4. Substitute o = h + 4 to f, which gives f = h + 38.\n5. Substitute h = y + 14 to f, which gives f = y + 52.\n6. Substitute y = 8 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 18224,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 11; d = k + 19; g = t + 14; m = d + 6; o = h + 4; u = i + 18; t = l + 5; a = g + 7; k = o + 8; l = u + 3; y = 8; h = y + 14; f = m + 1. If y = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 10", "g": "f + 8", "q": "g + 13", "k": "q + 7", "t": "k + 4", "l": "t + 11", "m": "p + 7", "c": "m + 12", "a": "c + 7", "h": "a + 17", "u": "h + 11", "r": "u + 17", "p": 11}, "premises": {"p": 11}, "target": "l"}, "answer": {"steps": [["t", "k + 4", "k + 15"], ["k", "q + 7", "q + 22"], ["q", "g + 13", "g + 35"], ["g", "f + 8", "f + 43"], ["f", "p + 10", "p + 53"], ["p", 11, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"p": 11}, "is_reverse": true}} | 18,225 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 7; g = f + 8; m = p + 7; t = k + 4; q = g + 13; c = m + 12; a = c + 7; f = p + 10; p = 11; h = a + 17; r = u + 17; l = t + 11; u = h + 11. If p = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 4 to l, which gives l = k + 15.\n2. Substitute k = q + 7 to l, which gives l = q + 22.\n3. Substitute q = g + 13 to l, which gives l = g + 35.\n4. Substitute g = f + 8 to l, which gives l = f + 43.\n5. Substitute f = p + 10 to l, which gives l = p + 53.\n6. Substitute p = 11 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 18225,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 7; g = f + 8; m = p + 7; t = k + 4; q = g + 13; c = m + 12; a = c + 7; f = p + 10; p = 11; h = a + 17; r = u + 17; l = t + 11; u = h + 11. If p = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 1", "j": "w + 1", "n": "j + 2", "t": "n + 4", "x": "t + 1", "g": "x + 17", "y": "u + 10", "a": "y + 13", "i": "a + 4", "m": "i + 13", "c": "m + 12", "l": "c + 20", "u": 10}, "premises": {"u": 10}, "target": "g"}, "answer": {"steps": [["x", "t + 1", "t + 18"], ["t", "n + 4", "n + 22"], ["n", "j + 2", "j + 24"], ["j", "w + 1", "w + 25"], ["w", "u + 1", "u + 26"], ["u", 10, "36"]], "target_var_name": "g", "target_value": 36, "value_dict": {"u": 10}, "is_reverse": true}} | 18,226 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 4; m = i + 13; t = n + 4; g = x + 17; n = j + 2; x = t + 1; l = c + 20; c = m + 12; y = u + 10; w = u + 1; a = y + 13; u = 10; j = w + 1. If u = 10, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 1 to g, which gives g = t + 18.\n2. Substitute t = n + 4 to g, which gives g = n + 22.\n3. Substitute n = j + 2 to g, which gives g = j + 24.\n4. Substitute j = w + 1 to g, which gives g = w + 25.\n5. Substitute w = u + 1 to g, which gives g = u + 26.\n6. Substitute u = 10 to g, which gives g = 36.\n\nThus, the final answer is g = \\boxed{36}.",
"index": 18226,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 4; m = i + 13; t = n + 4; g = x + 17; n = j + 2; x = t + 1; l = c + 20; c = m + 12; y = u + 10; w = u + 1; a = y + 13; u = 10; j = w + 1. If u = 10, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 1", "x": "h + 11", "k": "x + 4", "j": "k + 18", "r": "j + 15", "g": "r + 14", "u": "t + 1", "z": "u + 14", "d": "z + 11", "e": "d + 7", "f": "e + 18", "y": "f + 13", "t": 13}, "premises": {"t": 13}, "target": "g"}, "answer": {"steps": [["r", "j + 15", "j + 29"], ["j", "k + 18", "k + 47"], ["k", "x + 4", "x + 51"], ["x", "h + 11", "h + 62"], ["h", "t + 1", "t + 63"], ["t", 13, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"t": 13}, "is_reverse": true}} | 18,227 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 18; h = t + 1; u = t + 1; y = f + 13; f = e + 18; r = j + 15; k = x + 4; g = r + 14; d = z + 11; x = h + 11; e = d + 7; t = 13; z = u + 14. If t = 13, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 15 to g, which gives g = j + 29.\n2. Substitute j = k + 18 to g, which gives g = k + 47.\n3. Substitute k = x + 4 to g, which gives g = x + 51.\n4. Substitute x = h + 11 to g, which gives g = h + 62.\n5. Substitute h = t + 1 to g, which gives g = t + 63.\n6. Substitute t = 13 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 18227,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 18; h = t + 1; u = t + 1; y = f + 13; f = e + 18; r = j + 15; k = x + 4; g = r + 14; d = z + 11; x = h + 11; e = d + 7; t = 13; z = u + 14. If t = 13, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 10", "h": "o + 8", "b": "h + 8", "k": "b + 1", "x": "k + 14", "j": "x + 17", "e": "d + 4", "g": "e + 13", "a": "g + 12", "s": "a + 1", "n": "s + 11", "p": "n + 9", "d": 10}, "premises": {"d": 10}, "target": "j"}, "answer": {"steps": [["x", "k + 14", "k + 31"], ["k", "b + 1", "b + 32"], ["b", "h + 8", "h + 40"], ["h", "o + 8", "o + 48"], ["o", "d + 10", "d + 58"], ["d", 10, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"d": 10}, "is_reverse": true}} | 18,228 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 1; e = d + 4; b = h + 8; p = n + 9; o = d + 10; h = o + 8; x = k + 14; g = e + 13; j = x + 17; d = 10; s = a + 1; a = g + 12; n = s + 11. Given that d = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 14 to j, which gives j = k + 31.\n2. Substitute k = b + 1 to j, which gives j = b + 32.\n3. Substitute b = h + 8 to j, which gives j = h + 40.\n4. Substitute h = o + 8 to j, which gives j = o + 48.\n5. Substitute o = d + 10 to j, which gives j = d + 58.\n6. Substitute d = 10 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 18228,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 1; e = d + 4; b = h + 8; p = n + 9; o = d + 10; h = o + 8; x = k + 14; g = e + 13; j = x + 17; d = 10; s = a + 1; a = g + 12; n = s + 11. Given that d = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 4", "y": "o + 13", "h": "y + 19", "t": "h + 1", "z": "t + 3", "v": "z + 11", "f": "b + 15", "j": "f + 2", "u": "j + 5", "c": "u + 3", "q": "c + 10", "k": "q + 8", "b": 17}, "premises": {"b": 17}, "target": "v"}, "answer": {"steps": [["z", "t + 3", "t + 14"], ["t", "h + 1", "h + 15"], ["h", "y + 19", "y + 34"], ["y", "o + 13", "o + 47"], ["o", "b + 4", "b + 51"], ["b", 17, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"b": 17}, "is_reverse": true}} | 18,229 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 13; z = t + 3; k = q + 8; q = c + 10; h = y + 19; f = b + 15; u = j + 5; v = z + 11; j = f + 2; c = u + 3; o = b + 4; t = h + 1; b = 17. If b = 17, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 3 to v, which gives v = t + 14.\n2. Substitute t = h + 1 to v, which gives v = h + 15.\n3. Substitute h = y + 19 to v, which gives v = y + 34.\n4. Substitute y = o + 13 to v, which gives v = o + 47.\n5. Substitute o = b + 4 to v, which gives v = b + 51.\n6. Substitute b = 17 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 18229,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 13; z = t + 3; k = q + 8; q = c + 10; h = y + 19; f = b + 15; u = j + 5; v = z + 11; j = f + 2; c = u + 3; o = b + 4; t = h + 1; b = 17. If b = 17, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 3", "c": "q + 3", "w": "c + 5", "d": "w + 5", "f": "d + 16", "z": "f + 15", "m": "s + 11", "y": "m + 7", "k": "y + 15", "e": "k + 12", "u": "e + 20", "r": "u + 14", "s": 3}, "premises": {"s": 3}, "target": "z"}, "answer": {"steps": [["f", "d + 16", "d + 31"], ["d", "w + 5", "w + 36"], ["w", "c + 5", "c + 41"], ["c", "q + 3", "q + 44"], ["q", "s + 3", "s + 47"], ["s", 3, "50"]], "target_var_name": "z", "target_value": 50, "value_dict": {"s": 3}, "is_reverse": true}} | 18,230 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 11; c = q + 3; y = m + 7; f = d + 16; z = f + 15; d = w + 5; u = e + 20; r = u + 14; w = c + 5; q = s + 3; e = k + 12; k = y + 15; s = 3. Given that s = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 16 to z, which gives z = d + 31.\n2. Substitute d = w + 5 to z, which gives z = w + 36.\n3. Substitute w = c + 5 to z, which gives z = c + 41.\n4. Substitute c = q + 3 to z, which gives z = q + 44.\n5. Substitute q = s + 3 to z, which gives z = s + 47.\n6. Substitute s = 3 to z, which gives z = 50.\n\nThus, the final answer is z = \\boxed{50}.",
"index": 18230,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 11; c = q + 3; y = m + 7; f = d + 16; z = f + 15; d = w + 5; u = e + 20; r = u + 14; w = c + 5; q = s + 3; e = k + 12; k = y + 15; s = 3. Given that s = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 5", "h": "l + 7", "o": "h + 1", "e": "o + 5", "c": "e + 19", "g": "c + 3", "q": "b + 3", "j": "q + 2", "n": "j + 4", "s": "n + 12", "x": "s + 3", "y": "x + 12", "b": 8}, "premises": {"b": 8}, "target": "g"}, "answer": {"steps": [["c", "e + 19", "e + 22"], ["e", "o + 5", "o + 27"], ["o", "h + 1", "h + 28"], ["h", "l + 7", "l + 35"], ["l", "b + 5", "b + 40"], ["b", 8, "48"]], "target_var_name": "g", "target_value": 48, "value_dict": {"b": 8}, "is_reverse": true}} | 18,231 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 8; x = s + 3; q = b + 3; o = h + 1; y = x + 12; c = e + 19; e = o + 5; n = j + 4; s = n + 12; l = b + 5; g = c + 3; j = q + 2; h = l + 7. If b = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 19 to g, which gives g = e + 22.\n2. Substitute e = o + 5 to g, which gives g = o + 27.\n3. Substitute o = h + 1 to g, which gives g = h + 28.\n4. Substitute h = l + 7 to g, which gives g = l + 35.\n5. Substitute l = b + 5 to g, which gives g = b + 40.\n6. Substitute b = 8 to g, which gives g = 48.\n\nThus, the final answer is g = \\boxed{48}.",
"index": 18231,
"question": "Consider a system of variables where each variable is defined as follows: b = 8; x = s + 3; q = b + 3; o = h + 1; y = x + 12; c = e + 19; e = o + 5; n = j + 4; s = n + 12; l = b + 5; g = c + 3; j = q + 2; h = l + 7. If b = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 12", "n": "q + 11", "s": "n + 8", "k": "s + 10", "i": "k + 5", "f": "i + 18", "t": "x + 8", "a": "t + 13", "p": "a + 1", "b": "p + 4", "r": "b + 1", "o": "r + 7", "x": 9}, "premises": {"x": 9}, "target": "f"}, "answer": {"steps": [["i", "k + 5", "k + 23"], ["k", "s + 10", "s + 33"], ["s", "n + 8", "n + 41"], ["n", "q + 11", "q + 52"], ["q", "x + 12", "x + 64"], ["x", 9, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"x": 9}, "is_reverse": true}} | 18,232 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 8; a = t + 13; k = s + 10; p = a + 1; t = x + 8; f = i + 18; x = 9; q = x + 12; i = k + 5; o = r + 7; n = q + 11; r = b + 1; b = p + 4. Given that x = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 5 to f, which gives f = k + 23.\n2. Substitute k = s + 10 to f, which gives f = s + 33.\n3. Substitute s = n + 8 to f, which gives f = n + 41.\n4. Substitute n = q + 11 to f, which gives f = q + 52.\n5. Substitute q = x + 12 to f, which gives f = x + 64.\n6. Substitute x = 9 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 18232,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 8; a = t + 13; k = s + 10; p = a + 1; t = x + 8; f = i + 18; x = 9; q = x + 12; i = k + 5; o = r + 7; n = q + 11; r = b + 1; b = p + 4. Given that x = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 12", "i": "v + 7", "e": "i + 10", "s": "e + 17", "o": "s + 3", "a": "o + 3", "n": "x + 12", "d": "n + 11", "j": "d + 5", "k": "j + 14", "l": "k + 19", "b": "l + 18", "x": 16}, "premises": {"x": 16}, "target": "a"}, "answer": {"steps": [["o", "s + 3", "s + 6"], ["s", "e + 17", "e + 23"], ["e", "i + 10", "i + 33"], ["i", "v + 7", "v + 40"], ["v", "x + 12", "x + 52"], ["x", 16, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"x": 16}, "is_reverse": true}} | 18,233 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 3; v = x + 12; b = l + 18; o = s + 3; j = d + 5; l = k + 19; e = i + 10; k = j + 14; d = n + 11; x = 16; i = v + 7; n = x + 12; s = e + 17. Given that x = 16, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 3 to a, which gives a = s + 6.\n2. Substitute s = e + 17 to a, which gives a = e + 23.\n3. Substitute e = i + 10 to a, which gives a = i + 33.\n4. Substitute i = v + 7 to a, which gives a = v + 40.\n5. Substitute v = x + 12 to a, which gives a = x + 52.\n6. Substitute x = 16 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 18233,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 3; v = x + 12; b = l + 18; o = s + 3; j = d + 5; l = k + 19; e = i + 10; k = j + 14; d = n + 11; x = 16; i = v + 7; n = x + 12; s = e + 17. Given that x = 16, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 19", "k": "a + 12", "n": "k + 16", "c": "n + 4", "g": "c + 5", "d": "g + 20", "o": "f + 17", "q": "o + 19", "z": "q + 19", "y": "z + 7", "b": "y + 20", "j": "b + 16", "f": 11}, "premises": {"f": 11}, "target": "d"}, "answer": {"steps": [["g", "c + 5", "c + 25"], ["c", "n + 4", "n + 29"], ["n", "k + 16", "k + 45"], ["k", "a + 12", "a + 57"], ["a", "f + 19", "f + 76"], ["f", 11, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"f": 11}, "is_reverse": true}} | 18,234 | 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 = o + 19; k = a + 12; b = y + 20; d = g + 20; g = c + 5; o = f + 17; j = b + 16; y = z + 7; n = k + 16; c = n + 4; f = 11; a = f + 19; z = q + 19. If f = 11, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 5 to d, which gives d = c + 25.\n2. Substitute c = n + 4 to d, which gives d = n + 29.\n3. Substitute n = k + 16 to d, which gives d = k + 45.\n4. Substitute k = a + 12 to d, which gives d = a + 57.\n5. Substitute a = f + 19 to d, which gives d = f + 76.\n6. Substitute f = 11 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 18234,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 19; k = a + 12; b = y + 20; d = g + 20; g = c + 5; o = f + 17; j = b + 16; y = z + 7; n = k + 16; c = n + 4; f = 11; a = f + 19; z = q + 19. If f = 11, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 8", "l": "f + 5", "e": "l + 10", "x": "e + 5", "j": "x + 7", "v": "j + 13", "i": "s + 11", "u": "i + 15", "w": "u + 13", "h": "w + 19", "y": "h + 15", "k": "y + 6", "s": 8}, "premises": {"s": 8}, "target": "v"}, "answer": {"steps": [["j", "x + 7", "x + 20"], ["x", "e + 5", "e + 25"], ["e", "l + 10", "l + 35"], ["l", "f + 5", "f + 40"], ["f", "s + 8", "s + 48"], ["s", 8, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"s": 8}, "is_reverse": true}} | 18,235 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 13; k = y + 6; s = 8; y = h + 15; e = l + 10; l = f + 5; w = u + 13; f = s + 8; j = x + 7; i = s + 11; h = w + 19; u = i + 15; x = e + 5. If s = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 7 to v, which gives v = x + 20.\n2. Substitute x = e + 5 to v, which gives v = e + 25.\n3. Substitute e = l + 10 to v, which gives v = l + 35.\n4. Substitute l = f + 5 to v, which gives v = f + 40.\n5. Substitute f = s + 8 to v, which gives v = s + 48.\n6. Substitute s = 8 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 18235,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 13; k = y + 6; s = 8; y = h + 15; e = l + 10; l = f + 5; w = u + 13; f = s + 8; j = x + 7; i = s + 11; h = w + 19; u = i + 15; x = e + 5. If s = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 4", "w": "o + 11", "e": "w + 13", "i": "e + 14", "m": "i + 19", "h": "m + 18", "c": "g + 6", "q": "c + 19", "j": "q + 11", "s": "j + 9", "v": "s + 18", "y": "v + 10", "g": 4}, "premises": {"g": 4}, "target": "h"}, "answer": {"steps": [["m", "i + 19", "i + 37"], ["i", "e + 14", "e + 51"], ["e", "w + 13", "w + 64"], ["w", "o + 11", "o + 75"], ["o", "g + 4", "g + 79"], ["g", 4, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"g": 4}, "is_reverse": true}} | 18,236 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = g + 4; s = j + 9; h = m + 18; y = v + 10; m = i + 19; g = 4; v = s + 18; e = w + 13; c = g + 6; j = q + 11; w = o + 11; i = e + 14; q = c + 19. If g = 4, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 19 to h, which gives h = i + 37.\n2. Substitute i = e + 14 to h, which gives h = e + 51.\n3. Substitute e = w + 13 to h, which gives h = w + 64.\n4. Substitute w = o + 11 to h, which gives h = o + 75.\n5. Substitute o = g + 4 to h, which gives h = g + 79.\n6. Substitute g = 4 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 18236,
"question": "Consider a system of variables where each variable is defined as follows: o = g + 4; s = j + 9; h = m + 18; y = v + 10; m = i + 19; g = 4; v = s + 18; e = w + 13; c = g + 6; j = q + 11; w = o + 11; i = e + 14; q = c + 19. If g = 4, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 2", "n": "h + 9", "f": "n + 1", "l": "f + 8", "a": "l + 6", "m": "a + 18", "c": "e + 12", "v": "c + 5", "j": "v + 14", "y": "j + 9", "b": "y + 16", "u": "b + 8", "e": 6}, "premises": {"e": 6}, "target": "m"}, "answer": {"steps": [["a", "l + 6", "l + 24"], ["l", "f + 8", "f + 32"], ["f", "n + 1", "n + 33"], ["n", "h + 9", "h + 42"], ["h", "e + 2", "e + 44"], ["e", 6, "50"]], "target_var_name": "m", "target_value": 50, "value_dict": {"e": 6}, "is_reverse": true}} | 18,237 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 8; a = l + 6; e = 6; l = f + 8; f = n + 1; n = h + 9; m = a + 18; c = e + 12; b = y + 16; y = j + 9; j = v + 14; v = c + 5; h = e + 2. If e = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 6 to m, which gives m = l + 24.\n2. Substitute l = f + 8 to m, which gives m = f + 32.\n3. Substitute f = n + 1 to m, which gives m = n + 33.\n4. Substitute n = h + 9 to m, which gives m = h + 42.\n5. Substitute h = e + 2 to m, which gives m = e + 44.\n6. Substitute e = 6 to m, which gives m = 50.\n\nThus, the final answer is m = \\boxed{50}.",
"index": 18237,
"question": "Consider a system of variables where each variable is defined as follows: u = b + 8; a = l + 6; e = 6; l = f + 8; f = n + 1; n = h + 9; m = a + 18; c = e + 12; b = y + 16; y = j + 9; j = v + 14; v = c + 5; h = e + 2. If e = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 10", "z": "c + 10", "b": "z + 20", "p": "b + 8", "h": "p + 17", "x": "h + 11", "r": "n + 1", "s": "r + 19", "f": "s + 4", "o": "f + 18", "i": "o + 7", "k": "i + 18", "n": 7}, "premises": {"n": 7}, "target": "x"}, "answer": {"steps": [["h", "p + 17", "p + 28"], ["p", "b + 8", "b + 36"], ["b", "z + 20", "z + 56"], ["z", "c + 10", "c + 66"], ["c", "n + 10", "n + 76"], ["n", 7, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"n": 7}, "is_reverse": true}} | 18,238 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 10; f = s + 4; k = i + 18; p = b + 8; z = c + 10; b = z + 20; r = n + 1; x = h + 11; i = o + 7; o = f + 18; s = r + 19; h = p + 17; n = 7. Given that n = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 17 to x, which gives x = p + 28.\n2. Substitute p = b + 8 to x, which gives x = b + 36.\n3. Substitute b = z + 20 to x, which gives x = z + 56.\n4. Substitute z = c + 10 to x, which gives x = c + 66.\n5. Substitute c = n + 10 to x, which gives x = n + 76.\n6. Substitute n = 7 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 18238,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 10; f = s + 4; k = i + 18; p = b + 8; z = c + 10; b = z + 20; r = n + 1; x = h + 11; i = o + 7; o = f + 18; s = r + 19; h = p + 17; n = 7. Given that n = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 1", "n": "y + 12", "m": "n + 3", "b": "m + 17", "r": "b + 4", "h": "r + 2", "j": "s + 10", "c": "j + 10", "g": "c + 7", "l": "g + 20", "a": "l + 16", "z": "a + 8", "s": 18}, "premises": {"s": 18}, "target": "h"}, "answer": {"steps": [["r", "b + 4", "b + 6"], ["b", "m + 17", "m + 23"], ["m", "n + 3", "n + 26"], ["n", "y + 12", "y + 38"], ["y", "s + 1", "s + 39"], ["s", 18, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"s": 18}, "is_reverse": true}} | 18,239 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = 18; m = n + 3; c = j + 10; l = g + 20; z = a + 8; j = s + 10; a = l + 16; r = b + 4; n = y + 12; b = m + 17; y = s + 1; g = c + 7; h = r + 2. If s = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 4 to h, which gives h = b + 6.\n2. Substitute b = m + 17 to h, which gives h = m + 23.\n3. Substitute m = n + 3 to h, which gives h = n + 26.\n4. Substitute n = y + 12 to h, which gives h = y + 38.\n5. Substitute y = s + 1 to h, which gives h = s + 39.\n6. Substitute s = 18 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 18239,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 18; m = n + 3; c = j + 10; l = g + 20; z = a + 8; j = s + 10; a = l + 16; r = b + 4; n = y + 12; b = m + 17; y = s + 1; g = c + 7; h = r + 2. If s = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 7", "u": "r + 11", "e": "u + 3", "i": "e + 2", "k": "i + 8", "f": "k + 15", "d": "h + 4", "c": "d + 8", "t": "c + 14", "b": "t + 1", "l": "b + 19", "g": "l + 11", "h": 16}, "premises": {"h": 16}, "target": "f"}, "answer": {"steps": [["k", "i + 8", "i + 23"], ["i", "e + 2", "e + 25"], ["e", "u + 3", "u + 28"], ["u", "r + 11", "r + 39"], ["r", "h + 7", "h + 46"], ["h", 16, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"h": 16}, "is_reverse": true}} | 18,240 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 8; i = e + 2; g = l + 11; b = t + 1; h = 16; k = i + 8; r = h + 7; f = k + 15; l = b + 19; u = r + 11; t = c + 14; e = u + 3; d = h + 4. If h = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 8 to f, which gives f = i + 23.\n2. Substitute i = e + 2 to f, which gives f = e + 25.\n3. Substitute e = u + 3 to f, which gives f = u + 28.\n4. Substitute u = r + 11 to f, which gives f = r + 39.\n5. Substitute r = h + 7 to f, which gives f = h + 46.\n6. Substitute h = 16 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 18240,
"question": "Consider a system of variables where each variable is defined as follows: c = d + 8; i = e + 2; g = l + 11; b = t + 1; h = 16; k = i + 8; r = h + 7; f = k + 15; l = b + 19; u = r + 11; t = c + 14; e = u + 3; d = h + 4. If h = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 9", "a": "j + 9", "o": "a + 3", "e": "o + 15", "p": "e + 7", "l": "p + 9", "d": "c + 15", "w": "d + 20", "i": "w + 17", "y": "i + 2", "r": "y + 15", "n": "r + 1", "c": 3}, "premises": {"c": 3}, "target": "l"}, "answer": {"steps": [["p", "e + 7", "e + 16"], ["e", "o + 15", "o + 31"], ["o", "a + 3", "a + 34"], ["a", "j + 9", "j + 43"], ["j", "c + 9", "c + 52"], ["c", 3, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"c": 3}, "is_reverse": true}} | 18,241 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 3; n = r + 1; c = 3; r = y + 15; y = i + 2; l = p + 9; p = e + 7; a = j + 9; e = o + 15; d = c + 15; j = c + 9; w = d + 20; i = w + 17. If c = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 7 to l, which gives l = e + 16.\n2. Substitute e = o + 15 to l, which gives l = o + 31.\n3. Substitute o = a + 3 to l, which gives l = a + 34.\n4. Substitute a = j + 9 to l, which gives l = j + 43.\n5. Substitute j = c + 9 to l, which gives l = c + 52.\n6. Substitute c = 3 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 18241,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 3; n = r + 1; c = 3; r = y + 15; y = i + 2; l = p + 9; p = e + 7; a = j + 9; e = o + 15; d = c + 15; j = c + 9; w = d + 20; i = w + 17. If c = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 10", "k": "w + 12", "z": "k + 20", "o": "z + 5", "v": "o + 19", "j": "v + 18", "i": "p + 17", "a": "i + 12", "g": "a + 12", "e": "g + 20", "s": "e + 19", "x": "s + 5", "p": 17}, "premises": {"p": 17}, "target": "j"}, "answer": {"steps": [["v", "o + 19", "o + 37"], ["o", "z + 5", "z + 42"], ["z", "k + 20", "k + 62"], ["k", "w + 12", "w + 74"], ["w", "p + 10", "p + 84"], ["p", 17, "101"]], "target_var_name": "j", "target_value": 101, "value_dict": {"p": 17}, "is_reverse": true}} | 18,242 | 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 + 5; v = o + 19; p = 17; j = v + 18; w = p + 10; z = k + 20; s = e + 19; k = w + 12; o = z + 5; e = g + 20; i = p + 17; a = i + 12; g = a + 12. If p = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 19 to j, which gives j = o + 37.\n2. Substitute o = z + 5 to j, which gives j = z + 42.\n3. Substitute z = k + 20 to j, which gives j = k + 62.\n4. Substitute k = w + 12 to j, which gives j = w + 74.\n5. Substitute w = p + 10 to j, which gives j = p + 84.\n6. Substitute p = 17 to j, which gives j = 101.\n\nThus, the final answer is j = \\boxed{101}.",
"index": 18242,
"question": "Consider a system of variables where each variable is defined as follows: x = s + 5; v = o + 19; p = 17; j = v + 18; w = p + 10; z = k + 20; s = e + 19; k = w + 12; o = z + 5; e = g + 20; i = p + 17; a = i + 12; g = a + 12. If p = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 8", "b": "x + 3", "e": "b + 9", "z": "e + 4", "t": "z + 14", "y": "t + 20", "c": "u + 18", "o": "c + 18", "r": "o + 3", "l": "r + 7", "w": "l + 15", "k": "w + 6", "u": 2}, "premises": {"u": 2}, "target": "y"}, "answer": {"steps": [["t", "z + 14", "z + 34"], ["z", "e + 4", "e + 38"], ["e", "b + 9", "b + 47"], ["b", "x + 3", "x + 50"], ["x", "u + 8", "u + 58"], ["u", 2, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"u": 2}, "is_reverse": true}} | 18,243 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 15; c = u + 18; o = c + 18; l = r + 7; k = w + 6; x = u + 8; t = z + 14; r = o + 3; z = e + 4; e = b + 9; u = 2; b = x + 3; y = t + 20. If u = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 14 to y, which gives y = z + 34.\n2. Substitute z = e + 4 to y, which gives y = e + 38.\n3. Substitute e = b + 9 to y, which gives y = b + 47.\n4. Substitute b = x + 3 to y, which gives y = x + 50.\n5. Substitute x = u + 8 to y, which gives y = u + 58.\n6. Substitute u = 2 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 18243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 15; c = u + 18; o = c + 18; l = r + 7; k = w + 6; x = u + 8; t = z + 14; r = o + 3; z = e + 4; e = b + 9; u = 2; b = x + 3; y = t + 20. If u = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 4", "i": "x + 9", "l": "i + 5", "h": "l + 16", "u": "h + 8", "e": "u + 15", "r": "z + 8", "t": "r + 13", "k": "t + 7", "n": "k + 6", "d": "n + 20", "f": "d + 4", "z": 8}, "premises": {"z": 8}, "target": "e"}, "answer": {"steps": [["u", "h + 8", "h + 23"], ["h", "l + 16", "l + 39"], ["l", "i + 5", "i + 44"], ["i", "x + 9", "x + 53"], ["x", "z + 4", "z + 57"], ["z", 8, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"z": 8}, "is_reverse": true}} | 18,244 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = k + 6; x = z + 4; d = n + 20; l = i + 5; u = h + 8; h = l + 16; r = z + 8; i = x + 9; f = d + 4; t = r + 13; k = t + 7; z = 8; e = u + 15. Given that z = 8, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 8 to e, which gives e = h + 23.\n2. Substitute h = l + 16 to e, which gives e = l + 39.\n3. Substitute l = i + 5 to e, which gives e = i + 44.\n4. Substitute i = x + 9 to e, which gives e = x + 53.\n5. Substitute x = z + 4 to e, which gives e = z + 57.\n6. Substitute z = 8 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 18244,
"question": "Suppose a collection of variables is related by the following definitions: n = k + 6; x = z + 4; d = n + 20; l = i + 5; u = h + 8; h = l + 16; r = z + 8; i = x + 9; f = d + 4; t = r + 13; k = t + 7; z = 8; e = u + 15. Given that z = 8, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 11", "q": "v + 15", "g": "q + 12", "u": "g + 12", "z": "u + 10", "y": "z + 15", "h": "e + 20", "o": "h + 7", "a": "o + 11", "s": "a + 20", "w": "s + 15", "t": "w + 15", "e": 9}, "premises": {"e": 9}, "target": "y"}, "answer": {"steps": [["z", "u + 10", "u + 25"], ["u", "g + 12", "g + 37"], ["g", "q + 12", "q + 49"], ["q", "v + 15", "v + 64"], ["v", "e + 11", "e + 75"], ["e", 9, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"e": 9}, "is_reverse": true}} | 18,245 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 15; a = o + 11; q = v + 15; s = a + 20; z = u + 10; h = e + 20; y = z + 15; e = 9; o = h + 7; t = w + 15; g = q + 12; u = g + 12; v = e + 11. Given that e = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 10 to y, which gives y = u + 25.\n2. Substitute u = g + 12 to y, which gives y = g + 37.\n3. Substitute g = q + 12 to y, which gives y = q + 49.\n4. Substitute q = v + 15 to y, which gives y = v + 64.\n5. Substitute v = e + 11 to y, which gives y = e + 75.\n6. Substitute e = 9 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 18245,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 15; a = o + 11; q = v + 15; s = a + 20; z = u + 10; h = e + 20; y = z + 15; e = 9; o = h + 7; t = w + 15; g = q + 12; u = g + 12; v = e + 11. Given that e = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 2", "n": "w + 18", "h": "n + 13", "b": "h + 15", "t": "b + 6", "o": "t + 1", "i": "y + 2", "e": "i + 16", "x": "e + 15", "u": "x + 17", "f": "u + 13", "j": "f + 4", "y": 3}, "premises": {"y": 3}, "target": "o"}, "answer": {"steps": [["t", "b + 6", "b + 7"], ["b", "h + 15", "h + 22"], ["h", "n + 13", "n + 35"], ["n", "w + 18", "w + 53"], ["w", "y + 2", "y + 55"], ["y", 3, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"y": 3}, "is_reverse": true}} | 18,246 | 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 = w + 18; h = n + 13; w = y + 2; u = x + 17; e = i + 16; f = u + 13; t = b + 6; b = h + 15; i = y + 2; x = e + 15; y = 3; j = f + 4; o = t + 1. If y = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 6 to o, which gives o = b + 7.\n2. Substitute b = h + 15 to o, which gives o = h + 22.\n3. Substitute h = n + 13 to o, which gives o = n + 35.\n4. Substitute n = w + 18 to o, which gives o = w + 53.\n5. Substitute w = y + 2 to o, which gives o = y + 55.\n6. Substitute y = 3 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 18246,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 18; h = n + 13; w = y + 2; u = x + 17; e = i + 16; f = u + 13; t = b + 6; b = h + 15; i = y + 2; x = e + 15; y = 3; j = f + 4; o = t + 1. If y = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 4", "h": "v + 19", "x": "h + 20", "f": "x + 15", "n": "f + 1", "j": "n + 6", "c": "a + 14", "d": "c + 2", "m": "d + 2", "e": "m + 20", "z": "e + 6", "w": "z + 12", "a": 1}, "premises": {"a": 1}, "target": "j"}, "answer": {"steps": [["n", "f + 1", "f + 7"], ["f", "x + 15", "x + 22"], ["x", "h + 20", "h + 42"], ["h", "v + 19", "v + 61"], ["v", "a + 4", "a + 65"], ["a", 1, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"a": 1}, "is_reverse": true}} | 18,247 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 20; d = c + 2; h = v + 19; z = e + 6; v = a + 4; n = f + 1; m = d + 2; c = a + 14; a = 1; f = x + 15; x = h + 20; j = n + 6; w = z + 12. If a = 1, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 1 to j, which gives j = f + 7.\n2. Substitute f = x + 15 to j, which gives j = x + 22.\n3. Substitute x = h + 20 to j, which gives j = h + 42.\n4. Substitute h = v + 19 to j, which gives j = v + 61.\n5. Substitute v = a + 4 to j, which gives j = a + 65.\n6. Substitute a = 1 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 18247,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 20; d = c + 2; h = v + 19; z = e + 6; v = a + 4; n = f + 1; m = d + 2; c = a + 14; a = 1; f = x + 15; x = h + 20; j = n + 6; w = z + 12. If a = 1, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 14", "q": "g + 14", "p": "q + 19", "b": "p + 4", "d": "b + 5", "y": "d + 4", "s": "n + 19", "m": "s + 4", "e": "m + 18", "z": "e + 3", "w": "z + 6", "h": "w + 5", "n": 10}, "premises": {"n": 10}, "target": "y"}, "answer": {"steps": [["d", "b + 5", "b + 9"], ["b", "p + 4", "p + 13"], ["p", "q + 19", "q + 32"], ["q", "g + 14", "g + 46"], ["g", "n + 14", "n + 60"], ["n", 10, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"n": 10}, "is_reverse": true}} | 18,248 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 4; n = 10; w = z + 6; q = g + 14; s = n + 19; y = d + 4; h = w + 5; z = e + 3; p = q + 19; e = m + 18; m = s + 4; d = b + 5; g = n + 14. If n = 10, determine 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 d = b + 5 to y, which gives y = b + 9.\n2. Substitute b = p + 4 to y, which gives y = p + 13.\n3. Substitute p = q + 19 to y, which gives y = q + 32.\n4. Substitute q = g + 14 to y, which gives y = g + 46.\n5. Substitute g = n + 14 to y, which gives y = n + 60.\n6. Substitute n = 10 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 18248,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 4; n = 10; w = z + 6; q = g + 14; s = n + 19; y = d + 4; h = w + 5; z = e + 3; p = q + 19; e = m + 18; m = s + 4; d = b + 5; g = n + 14. If n = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 10", "k": "c + 2", "w": "k + 3", "i": "w + 5", "j": "i + 11", "z": "j + 9", "f": "a + 7", "b": "f + 14", "t": "b + 19", "g": "t + 5", "h": "g + 2", "q": "h + 8", "a": 16}, "premises": {"a": 16}, "target": "z"}, "answer": {"steps": [["j", "i + 11", "i + 20"], ["i", "w + 5", "w + 25"], ["w", "k + 3", "k + 28"], ["k", "c + 2", "c + 30"], ["c", "a + 10", "a + 40"], ["a", 16, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"a": 16}, "is_reverse": true}} | 18,249 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = i + 11; z = j + 9; w = k + 3; g = t + 5; q = h + 8; i = w + 5; f = a + 7; k = c + 2; h = g + 2; b = f + 14; a = 16; t = b + 19; c = a + 10. If a = 16, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 11 to z, which gives z = i + 20.\n2. Substitute i = w + 5 to z, which gives z = w + 25.\n3. Substitute w = k + 3 to z, which gives z = k + 28.\n4. Substitute k = c + 2 to z, which gives z = c + 30.\n5. Substitute c = a + 10 to z, which gives z = a + 40.\n6. Substitute a = 16 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 18249,
"question": "Consider a system of variables where each variable is defined as follows: j = i + 11; z = j + 9; w = k + 3; g = t + 5; q = h + 8; i = w + 5; f = a + 7; k = c + 2; h = g + 2; b = f + 14; a = 16; t = b + 19; c = a + 10. If a = 16, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 13", "c": "w + 14", "l": "c + 4", "x": "l + 4", "m": "x + 11", "j": "m + 12", "h": "n + 20", "r": "h + 8", "e": "r + 5", "o": "e + 9", "v": "o + 10", "y": "v + 11", "n": 15}, "premises": {"n": 15}, "target": "j"}, "answer": {"steps": [["m", "x + 11", "x + 23"], ["x", "l + 4", "l + 27"], ["l", "c + 4", "c + 31"], ["c", "w + 14", "w + 45"], ["w", "n + 13", "n + 58"], ["n", 15, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"n": 15}, "is_reverse": true}} | 18,250 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 11; c = w + 14; m = x + 11; r = h + 8; n = 15; o = e + 9; v = o + 10; j = m + 12; w = n + 13; x = l + 4; e = r + 5; l = c + 4; h = n + 20. Given that n = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 11 to j, which gives j = x + 23.\n2. Substitute x = l + 4 to j, which gives j = l + 27.\n3. Substitute l = c + 4 to j, which gives j = c + 31.\n4. Substitute c = w + 14 to j, which gives j = w + 45.\n5. Substitute w = n + 13 to j, which gives j = n + 58.\n6. Substitute n = 15 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 18250,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 11; c = w + 14; m = x + 11; r = h + 8; n = 15; o = e + 9; v = o + 10; j = m + 12; w = n + 13; x = l + 4; e = r + 5; l = c + 4; h = n + 20. Given that n = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 5", "u": "s + 5", "k": "u + 18", "r": "k + 19", "i": "r + 20", "y": "i + 8", "v": "h + 16", "m": "v + 14", "c": "m + 12", "e": "c + 8", "b": "e + 6", "n": "b + 20", "h": 3}, "premises": {"h": 3}, "target": "y"}, "answer": {"steps": [["i", "r + 20", "r + 28"], ["r", "k + 19", "k + 47"], ["k", "u + 18", "u + 65"], ["u", "s + 5", "s + 70"], ["s", "h + 5", "h + 75"], ["h", 3, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"h": 3}, "is_reverse": true}} | 18,251 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 5; h = 3; k = u + 18; m = v + 14; e = c + 8; n = b + 20; r = k + 19; y = i + 8; c = m + 12; u = s + 5; v = h + 16; b = e + 6; i = r + 20. If h = 3, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 20 to y, which gives y = r + 28.\n2. Substitute r = k + 19 to y, which gives y = k + 47.\n3. Substitute k = u + 18 to y, which gives y = u + 65.\n4. Substitute u = s + 5 to y, which gives y = s + 70.\n5. Substitute s = h + 5 to y, which gives y = h + 75.\n6. Substitute h = 3 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 18251,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 5; h = 3; k = u + 18; m = v + 14; e = c + 8; n = b + 20; r = k + 19; y = i + 8; c = m + 12; u = s + 5; v = h + 16; b = e + 6; i = r + 20. If h = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 18", "q": "o + 20", "u": "q + 6", "r": "u + 7", "m": "r + 19", "n": "m + 4", "f": "v + 12", "l": "f + 14", "y": "l + 18", "w": "y + 5", "j": "w + 10", "s": "j + 14", "v": 3}, "premises": {"v": 3}, "target": "n"}, "answer": {"steps": [["m", "r + 19", "r + 23"], ["r", "u + 7", "u + 30"], ["u", "q + 6", "q + 36"], ["q", "o + 20", "o + 56"], ["o", "v + 18", "v + 74"], ["v", 3, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"v": 3}, "is_reverse": true}} | 18,252 | 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 = f + 14; s = j + 14; v = 3; j = w + 10; n = m + 4; y = l + 18; m = r + 19; q = o + 20; w = y + 5; f = v + 12; u = q + 6; r = u + 7; o = v + 18. If v = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 19 to n, which gives n = r + 23.\n2. Substitute r = u + 7 to n, which gives n = u + 30.\n3. Substitute u = q + 6 to n, which gives n = q + 36.\n4. Substitute q = o + 20 to n, which gives n = o + 56.\n5. Substitute o = v + 18 to n, which gives n = v + 74.\n6. Substitute v = 3 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 18252,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 14; s = j + 14; v = 3; j = w + 10; n = m + 4; y = l + 18; m = r + 19; q = o + 20; w = y + 5; f = v + 12; u = q + 6; r = u + 7; o = v + 18. If v = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 12", "i": "s + 12", "n": "i + 15", "p": "n + 9", "v": "p + 19", "m": "v + 6", "t": "r + 10", "f": "t + 18", "h": "f + 7", "z": "h + 13", "u": "z + 20", "g": "u + 15", "r": 8}, "premises": {"r": 8}, "target": "m"}, "answer": {"steps": [["v", "p + 19", "p + 25"], ["p", "n + 9", "n + 34"], ["n", "i + 15", "i + 49"], ["i", "s + 12", "s + 61"], ["s", "r + 12", "r + 73"], ["r", 8, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"r": 8}, "is_reverse": true}} | 18,253 | 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 = i + 15; h = f + 7; t = r + 10; g = u + 15; u = z + 20; f = t + 18; z = h + 13; i = s + 12; p = n + 9; r = 8; m = v + 6; s = r + 12; v = p + 19. If r = 8, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 19 to m, which gives m = p + 25.\n2. Substitute p = n + 9 to m, which gives m = n + 34.\n3. Substitute n = i + 15 to m, which gives m = i + 49.\n4. Substitute i = s + 12 to m, which gives m = s + 61.\n5. Substitute s = r + 12 to m, which gives m = r + 73.\n6. Substitute r = 8 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 18253,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 15; h = f + 7; t = r + 10; g = u + 15; u = z + 20; f = t + 18; z = h + 13; i = s + 12; p = n + 9; r = 8; m = v + 6; s = r + 12; v = p + 19. If r = 8, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 14", "d": "x + 8", "z": "d + 10", "u": "z + 17", "y": "u + 17", "b": "y + 2", "l": "p + 1", "c": "l + 8", "h": "c + 16", "e": "h + 7", "j": "e + 10", "n": "j + 13", "p": 3}, "premises": {"p": 3}, "target": "b"}, "answer": {"steps": [["y", "u + 17", "u + 19"], ["u", "z + 17", "z + 36"], ["z", "d + 10", "d + 46"], ["d", "x + 8", "x + 54"], ["x", "p + 14", "p + 68"], ["p", 3, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"p": 3}, "is_reverse": true}} | 18,254 | 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 = e + 10; e = h + 7; p = 3; z = d + 10; d = x + 8; n = j + 13; h = c + 16; c = l + 8; y = u + 17; l = p + 1; u = z + 17; x = p + 14; b = y + 2. If p = 3, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 17 to b, which gives b = u + 19.\n2. Substitute u = z + 17 to b, which gives b = z + 36.\n3. Substitute z = d + 10 to b, which gives b = d + 46.\n4. Substitute d = x + 8 to b, which gives b = x + 54.\n5. Substitute x = p + 14 to b, which gives b = p + 68.\n6. Substitute p = 3 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 18254,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 10; e = h + 7; p = 3; z = d + 10; d = x + 8; n = j + 13; h = c + 16; c = l + 8; y = u + 17; l = p + 1; u = z + 17; x = p + 14; b = y + 2. If p = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 14", "o": "q + 11", "z": "o + 15", "l": "z + 9", "u": "l + 4", "k": "u + 16", "v": "r + 4", "y": "v + 6", "f": "y + 12", "d": "f + 9", "t": "d + 20", "s": "t + 19", "r": 5}, "premises": {"r": 5}, "target": "k"}, "answer": {"steps": [["u", "l + 4", "l + 20"], ["l", "z + 9", "z + 29"], ["z", "o + 15", "o + 44"], ["o", "q + 11", "q + 55"], ["q", "r + 14", "r + 69"], ["r", 5, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"r": 5}, "is_reverse": true}} | 18,255 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 9; q = r + 14; t = d + 20; k = u + 16; l = z + 9; o = q + 11; u = l + 4; v = r + 4; f = y + 12; z = o + 15; r = 5; y = v + 6; s = t + 19. If r = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 4 to k, which gives k = l + 20.\n2. Substitute l = z + 9 to k, which gives k = z + 29.\n3. Substitute z = o + 15 to k, which gives k = o + 44.\n4. Substitute o = q + 11 to k, which gives k = q + 55.\n5. Substitute q = r + 14 to k, which gives k = r + 69.\n6. Substitute r = 5 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 18255,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = f + 9; q = r + 14; t = d + 20; k = u + 16; l = z + 9; o = q + 11; u = l + 4; v = r + 4; f = y + 12; z = o + 15; r = 5; y = v + 6; s = t + 19. If r = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 2", "t": "e + 2", "r": "t + 5", "k": "r + 9", "o": "k + 5", "l": "o + 19", "b": "u + 12", "j": "b + 14", "s": "j + 4", "n": "s + 11", "y": "n + 18", "m": "y + 7", "u": 13}, "premises": {"u": 13}, "target": "l"}, "answer": {"steps": [["o", "k + 5", "k + 24"], ["k", "r + 9", "r + 33"], ["r", "t + 5", "t + 38"], ["t", "e + 2", "e + 40"], ["e", "u + 2", "u + 42"], ["u", 13, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"u": 13}, "is_reverse": true}} | 18,256 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 14; s = j + 4; e = u + 2; r = t + 5; l = o + 19; o = k + 5; k = r + 9; t = e + 2; b = u + 12; y = n + 18; n = s + 11; u = 13; m = y + 7. Given that u = 13, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 5 to l, which gives l = k + 24.\n2. Substitute k = r + 9 to l, which gives l = r + 33.\n3. Substitute r = t + 5 to l, which gives l = t + 38.\n4. Substitute t = e + 2 to l, which gives l = e + 40.\n5. Substitute e = u + 2 to l, which gives l = u + 42.\n6. Substitute u = 13 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 18256,
"question": "Suppose a collection of variables is related by the following definitions: j = b + 14; s = j + 4; e = u + 2; r = t + 5; l = o + 19; o = k + 5; k = r + 9; t = e + 2; b = u + 12; y = n + 18; n = s + 11; u = 13; m = y + 7. Given that u = 13, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 9", "q": "k + 3", "j": "q + 20", "p": "j + 8", "n": "p + 2", "w": "n + 17", "b": "c + 9", "y": "b + 17", "v": "y + 9", "g": "v + 2", "o": "g + 3", "l": "o + 20", "c": 9}, "premises": {"c": 9}, "target": "w"}, "answer": {"steps": [["n", "p + 2", "p + 19"], ["p", "j + 8", "j + 27"], ["j", "q + 20", "q + 47"], ["q", "k + 3", "k + 50"], ["k", "c + 9", "c + 59"], ["c", 9, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"c": 9}, "is_reverse": true}} | 18,257 | 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 = 9; p = j + 8; n = p + 2; k = c + 9; g = v + 2; w = n + 17; y = b + 17; b = c + 9; l = o + 20; q = k + 3; o = g + 3; v = y + 9; j = q + 20. If c = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 2 to w, which gives w = p + 19.\n2. Substitute p = j + 8 to w, which gives w = j + 27.\n3. Substitute j = q + 20 to w, which gives w = q + 47.\n4. Substitute q = k + 3 to w, which gives w = k + 50.\n5. Substitute k = c + 9 to w, which gives w = c + 59.\n6. Substitute c = 9 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 18257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 9; p = j + 8; n = p + 2; k = c + 9; g = v + 2; w = n + 17; y = b + 17; b = c + 9; l = o + 20; q = k + 3; o = g + 3; v = y + 9; j = q + 20. If c = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 17", "z": "s + 10", "r": "z + 15", "g": "r + 20", "o": "g + 17", "p": "o + 20", "y": "u + 4", "d": "y + 3", "c": "d + 6", "w": "c + 19", "k": "w + 19", "h": "k + 2", "u": 3}, "premises": {"u": 3}, "target": "p"}, "answer": {"steps": [["o", "g + 17", "g + 37"], ["g", "r + 20", "r + 57"], ["r", "z + 15", "z + 72"], ["z", "s + 10", "s + 82"], ["s", "u + 17", "u + 99"], ["u", 3, "102"]], "target_var_name": "p", "target_value": 102, "value_dict": {"u": 3}, "is_reverse": true}} | 18,258 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 4; w = c + 19; d = y + 3; h = k + 2; k = w + 19; o = g + 17; c = d + 6; z = s + 10; r = z + 15; s = u + 17; g = r + 20; u = 3; p = o + 20. Given that u = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 17 to p, which gives p = g + 37.\n2. Substitute g = r + 20 to p, which gives p = r + 57.\n3. Substitute r = z + 15 to p, which gives p = z + 72.\n4. Substitute z = s + 10 to p, which gives p = s + 82.\n5. Substitute s = u + 17 to p, which gives p = u + 99.\n6. Substitute u = 3 to p, which gives p = 102.\n\nThus, the final answer is p = \\boxed{102}.",
"index": 18258,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 4; w = c + 19; d = y + 3; h = k + 2; k = w + 19; o = g + 17; c = d + 6; z = s + 10; r = z + 15; s = u + 17; g = r + 20; u = 3; p = o + 20. Given that u = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 7", "e": "c + 2", "r": "e + 4", "f": "r + 1", "g": "f + 2", "d": "g + 6", "v": "x + 18", "a": "v + 1", "i": "a + 10", "h": "i + 7", "t": "h + 20", "k": "t + 18", "x": 9}, "premises": {"x": 9}, "target": "d"}, "answer": {"steps": [["g", "f + 2", "f + 8"], ["f", "r + 1", "r + 9"], ["r", "e + 4", "e + 13"], ["e", "c + 2", "c + 15"], ["c", "x + 7", "x + 22"], ["x", 9, "31"]], "target_var_name": "d", "target_value": 31, "value_dict": {"x": 9}, "is_reverse": true}} | 18,259 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 9; c = x + 7; e = c + 2; t = h + 20; f = r + 1; v = x + 18; a = v + 1; k = t + 18; d = g + 6; r = e + 4; i = a + 10; h = i + 7; g = f + 2. Given that x = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 31,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 2 to d, which gives d = f + 8.\n2. Substitute f = r + 1 to d, which gives d = r + 9.\n3. Substitute r = e + 4 to d, which gives d = e + 13.\n4. Substitute e = c + 2 to d, which gives d = c + 15.\n5. Substitute c = x + 7 to d, which gives d = x + 22.\n6. Substitute x = 9 to d, which gives d = 31.\n\nThus, the final answer is d = \\boxed{31}.",
"index": 18259,
"question": "Suppose a collection of variables is related by the following definitions: x = 9; c = x + 7; e = c + 2; t = h + 20; f = r + 1; v = x + 18; a = v + 1; k = t + 18; d = g + 6; r = e + 4; i = a + 10; h = i + 7; g = f + 2. Given that x = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 10", "s": "n + 2", "a": "s + 9", "j": "a + 6", "c": "j + 5", "p": "c + 2", "g": "y + 11", "r": "g + 3", "d": "r + 17", "u": "d + 4", "e": "u + 9", "h": "e + 12", "y": 4}, "premises": {"y": 4}, "target": "p"}, "answer": {"steps": [["c", "j + 5", "j + 7"], ["j", "a + 6", "a + 13"], ["a", "s + 9", "s + 22"], ["s", "n + 2", "n + 24"], ["n", "y + 10", "y + 34"], ["y", 4, "38"]], "target_var_name": "p", "target_value": 38, "value_dict": {"y": 4}, "is_reverse": true}} | 18,260 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = g + 3; e = u + 9; g = y + 11; j = a + 6; s = n + 2; c = j + 5; u = d + 4; y = 4; p = c + 2; n = y + 10; h = e + 12; d = r + 17; a = s + 9. If y = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 5 to p, which gives p = j + 7.\n2. Substitute j = a + 6 to p, which gives p = a + 13.\n3. Substitute a = s + 9 to p, which gives p = s + 22.\n4. Substitute s = n + 2 to p, which gives p = n + 24.\n5. Substitute n = y + 10 to p, which gives p = y + 34.\n6. Substitute y = 4 to p, which gives p = 38.\n\nThus, the final answer is p = \\boxed{38}.",
"index": 18260,
"question": "Consider a system of variables where each variable is defined as follows: r = g + 3; e = u + 9; g = y + 11; j = a + 6; s = n + 2; c = j + 5; u = d + 4; y = 4; p = c + 2; n = y + 10; h = e + 12; d = r + 17; a = s + 9. If y = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 8", "z": "c + 9", "l": "z + 13", "s": "l + 19", "h": "s + 10", "n": "h + 18", "i": "e + 18", "k": "i + 8", "o": "k + 11", "d": "o + 3", "q": "d + 7", "t": "q + 10", "e": 20}, "premises": {"e": 20}, "target": "n"}, "answer": {"steps": [["h", "s + 10", "s + 28"], ["s", "l + 19", "l + 47"], ["l", "z + 13", "z + 60"], ["z", "c + 9", "c + 69"], ["c", "e + 8", "e + 77"], ["e", 20, "97"]], "target_var_name": "n", "target_value": 97, "value_dict": {"e": 20}, "is_reverse": true}} | 18,261 | 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 = h + 18; q = d + 7; e = 20; t = q + 10; i = e + 18; l = z + 13; z = c + 9; h = s + 10; s = l + 19; c = e + 8; o = k + 11; d = o + 3; k = i + 8. If e = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 10 to n, which gives n = s + 28.\n2. Substitute s = l + 19 to n, which gives n = l + 47.\n3. Substitute l = z + 13 to n, which gives n = z + 60.\n4. Substitute z = c + 9 to n, which gives n = c + 69.\n5. Substitute c = e + 8 to n, which gives n = e + 77.\n6. Substitute e = 20 to n, which gives n = 97.\n\nThus, the final answer is n = \\boxed{97}.",
"index": 18261,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 18; q = d + 7; e = 20; t = q + 10; i = e + 18; l = z + 13; z = c + 9; h = s + 10; s = l + 19; c = e + 8; o = k + 11; d = o + 3; k = i + 8. If e = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 15", "s": "m + 5", "r": "s + 16", "a": "r + 11", "h": "a + 15", "j": "h + 18", "p": "y + 9", "l": "p + 6", "e": "l + 6", "w": "e + 5", "q": "w + 6", "t": "q + 4", "y": 7}, "premises": {"y": 7}, "target": "j"}, "answer": {"steps": [["h", "a + 15", "a + 33"], ["a", "r + 11", "r + 44"], ["r", "s + 16", "s + 60"], ["s", "m + 5", "m + 65"], ["m", "y + 15", "y + 80"], ["y", 7, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"y": 7}, "is_reverse": true}} | 18,262 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 18; s = m + 5; y = 7; h = a + 15; e = l + 6; t = q + 4; q = w + 6; w = e + 5; r = s + 16; l = p + 6; a = r + 11; m = y + 15; p = y + 9. If y = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 15 to j, which gives j = a + 33.\n2. Substitute a = r + 11 to j, which gives j = r + 44.\n3. Substitute r = s + 16 to j, which gives j = s + 60.\n4. Substitute s = m + 5 to j, which gives j = m + 65.\n5. Substitute m = y + 15 to j, which gives j = y + 80.\n6. Substitute y = 7 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 18262,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 18; s = m + 5; y = 7; h = a + 15; e = l + 6; t = q + 4; q = w + 6; w = e + 5; r = s + 16; l = p + 6; a = r + 11; m = y + 15; p = y + 9. If y = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 18", "a": "s + 17", "x": "a + 2", "h": "x + 16", "g": "h + 20", "t": "g + 10", "y": "i + 7", "u": "y + 16", "n": "u + 4", "m": "n + 16", "p": "m + 15", "k": "p + 16", "i": 10}, "premises": {"i": 10}, "target": "t"}, "answer": {"steps": [["g", "h + 20", "h + 30"], ["h", "x + 16", "x + 46"], ["x", "a + 2", "a + 48"], ["a", "s + 17", "s + 65"], ["s", "i + 18", "i + 83"], ["i", 10, "93"]], "target_var_name": "t", "target_value": 93, "value_dict": {"i": 10}, "is_reverse": true}} | 18,263 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 7; h = x + 16; g = h + 20; x = a + 2; s = i + 18; t = g + 10; k = p + 16; i = 10; a = s + 17; n = u + 4; u = y + 16; p = m + 15; m = n + 16. If i = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 20 to t, which gives t = h + 30.\n2. Substitute h = x + 16 to t, which gives t = x + 46.\n3. Substitute x = a + 2 to t, which gives t = a + 48.\n4. Substitute a = s + 17 to t, which gives t = s + 65.\n5. Substitute s = i + 18 to t, which gives t = i + 83.\n6. Substitute i = 10 to t, which gives t = 93.\n\nThus, the final answer is t = \\boxed{93}.",
"index": 18263,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 7; h = x + 16; g = h + 20; x = a + 2; s = i + 18; t = g + 10; k = p + 16; i = 10; a = s + 17; n = u + 4; u = y + 16; p = m + 15; m = n + 16. If i = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 15", "b": "w + 19", "t": "b + 19", "d": "t + 20", "a": "d + 6", "r": "a + 14", "o": "i + 9", "n": "o + 2", "p": "n + 19", "z": "p + 2", "s": "z + 3", "k": "s + 10", "i": 20}, "premises": {"i": 20}, "target": "r"}, "answer": {"steps": [["a", "d + 6", "d + 20"], ["d", "t + 20", "t + 40"], ["t", "b + 19", "b + 59"], ["b", "w + 19", "w + 78"], ["w", "i + 15", "i + 93"], ["i", 20, "113"]], "target_var_name": "r", "target_value": 113, "value_dict": {"i": 20}, "is_reverse": true}} | 18,264 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 20; z = p + 2; i = 20; k = s + 10; o = i + 9; p = n + 19; r = a + 14; n = o + 2; a = d + 6; b = w + 19; t = b + 19; s = z + 3; w = i + 15. If i = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 113,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 6 to r, which gives r = d + 20.\n2. Substitute d = t + 20 to r, which gives r = t + 40.\n3. Substitute t = b + 19 to r, which gives r = b + 59.\n4. Substitute b = w + 19 to r, which gives r = w + 78.\n5. Substitute w = i + 15 to r, which gives r = i + 93.\n6. Substitute i = 20 to r, which gives r = 113.\n\nThus, the final answer is r = \\boxed{113}.",
"index": 18264,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 20; z = p + 2; i = 20; k = s + 10; o = i + 9; p = n + 19; r = a + 14; n = o + 2; a = d + 6; b = w + 19; t = b + 19; s = z + 3; w = i + 15. If i = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 2", "k": "v + 18", "f": "k + 12", "r": "f + 5", "d": "r + 3", "n": "d + 19", "t": "w + 17", "a": "t + 7", "i": "a + 11", "x": "i + 13", "q": "x + 10", "u": "q + 1", "w": 2}, "premises": {"w": 2}, "target": "n"}, "answer": {"steps": [["d", "r + 3", "r + 22"], ["r", "f + 5", "f + 27"], ["f", "k + 12", "k + 39"], ["k", "v + 18", "v + 57"], ["v", "w + 2", "w + 59"], ["w", 2, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"w": 2}, "is_reverse": true}} | 18,265 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 18; v = w + 2; t = w + 17; q = x + 10; u = q + 1; i = a + 11; r = f + 5; w = 2; n = d + 19; f = k + 12; x = i + 13; a = t + 7; d = r + 3. If w = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 3 to n, which gives n = r + 22.\n2. Substitute r = f + 5 to n, which gives n = f + 27.\n3. Substitute f = k + 12 to n, which gives n = k + 39.\n4. Substitute k = v + 18 to n, which gives n = v + 57.\n5. Substitute v = w + 2 to n, which gives n = w + 59.\n6. Substitute w = 2 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 18265,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 18; v = w + 2; t = w + 17; q = x + 10; u = q + 1; i = a + 11; r = f + 5; w = 2; n = d + 19; f = k + 12; x = i + 13; a = t + 7; d = r + 3. If w = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 7", "d": "b + 17", "w": "d + 14", "m": "w + 3", "y": "m + 13", "o": "y + 18", "s": "q + 9", "i": "s + 9", "c": "i + 18", "u": "c + 2", "p": "u + 10", "r": "p + 5", "q": 5}, "premises": {"q": 5}, "target": "o"}, "answer": {"steps": [["y", "m + 13", "m + 31"], ["m", "w + 3", "w + 34"], ["w", "d + 14", "d + 48"], ["d", "b + 17", "b + 65"], ["b", "q + 7", "q + 72"], ["q", 5, "77"]], "target_var_name": "o", "target_value": 77, "value_dict": {"q": 5}, "is_reverse": true}} | 18,266 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 7; d = b + 17; r = p + 5; o = y + 18; y = m + 13; m = w + 3; s = q + 9; c = i + 18; q = 5; u = c + 2; i = s + 9; w = d + 14; p = u + 10. If q = 5, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 13 to o, which gives o = m + 31.\n2. Substitute m = w + 3 to o, which gives o = w + 34.\n3. Substitute w = d + 14 to o, which gives o = d + 48.\n4. Substitute d = b + 17 to o, which gives o = b + 65.\n5. Substitute b = q + 7 to o, which gives o = q + 72.\n6. Substitute q = 5 to o, which gives o = 77.\n\nThus, the final answer is o = \\boxed{77}.",
"index": 18266,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 7; d = b + 17; r = p + 5; o = y + 18; y = m + 13; m = w + 3; s = q + 9; c = i + 18; q = 5; u = c + 2; i = s + 9; w = d + 14; p = u + 10. If q = 5, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 1", "e": "o + 1", "v": "e + 15", "j": "v + 13", "w": "j + 16", "x": "w + 20", "z": "c + 19", "q": "z + 20", "i": "q + 13", "a": "i + 7", "l": "a + 19", "f": "l + 19", "c": 20}, "premises": {"c": 20}, "target": "x"}, "answer": {"steps": [["w", "j + 16", "j + 36"], ["j", "v + 13", "v + 49"], ["v", "e + 15", "e + 64"], ["e", "o + 1", "o + 65"], ["o", "c + 1", "c + 66"], ["c", 20, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"c": 20}, "is_reverse": true}} | 18,267 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = c + 19; x = w + 20; f = l + 19; j = v + 13; a = i + 7; o = c + 1; e = o + 1; w = j + 16; i = q + 13; q = z + 20; c = 20; l = a + 19; v = e + 15. Given that c = 20, 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 w = j + 16 to x, which gives x = j + 36.\n2. Substitute j = v + 13 to x, which gives x = v + 49.\n3. Substitute v = e + 15 to x, which gives x = e + 64.\n4. Substitute e = o + 1 to x, which gives x = o + 65.\n5. Substitute o = c + 1 to x, which gives x = c + 66.\n6. Substitute c = 20 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 18267,
"question": "Suppose a collection of variables is related by the following definitions: z = c + 19; x = w + 20; f = l + 19; j = v + 13; a = i + 7; o = c + 1; e = o + 1; w = j + 16; i = q + 13; q = z + 20; c = 20; l = a + 19; v = e + 15. Given that c = 20, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 6", "o": "j + 8", "t": "o + 9", "p": "t + 6", "g": "p + 8", "l": "g + 3", "k": "r + 16", "d": "k + 15", "x": "d + 6", "w": "x + 5", "n": "w + 11", "e": "n + 7", "r": 20}, "premises": {"r": 20}, "target": "l"}, "answer": {"steps": [["g", "p + 8", "p + 11"], ["p", "t + 6", "t + 17"], ["t", "o + 9", "o + 26"], ["o", "j + 8", "j + 34"], ["j", "r + 6", "r + 40"], ["r", 20, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"r": 20}, "is_reverse": true}} | 18,268 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 8; d = k + 15; j = r + 6; k = r + 16; x = d + 6; l = g + 3; p = t + 6; g = p + 8; e = n + 7; n = w + 11; t = o + 9; w = x + 5; r = 20. If r = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 8 to l, which gives l = p + 11.\n2. Substitute p = t + 6 to l, which gives l = t + 17.\n3. Substitute t = o + 9 to l, which gives l = o + 26.\n4. Substitute o = j + 8 to l, which gives l = j + 34.\n5. Substitute j = r + 6 to l, which gives l = r + 40.\n6. Substitute r = 20 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 18268,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 8; d = k + 15; j = r + 6; k = r + 16; x = d + 6; l = g + 3; p = t + 6; g = p + 8; e = n + 7; n = w + 11; t = o + 9; w = x + 5; r = 20. If r = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 14", "o": "m + 3", "h": "o + 12", "l": "h + 18", "p": "l + 15", "t": "p + 8", "i": "f + 6", "j": "i + 2", "q": "j + 6", "z": "q + 16", "w": "z + 1", "r": "w + 13", "f": 11}, "premises": {"f": 11}, "target": "t"}, "answer": {"steps": [["p", "l + 15", "l + 23"], ["l", "h + 18", "h + 41"], ["h", "o + 12", "o + 53"], ["o", "m + 3", "m + 56"], ["m", "f + 14", "f + 70"], ["f", 11, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"f": 11}, "is_reverse": true}} | 18,269 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 6; o = m + 3; w = z + 1; j = i + 2; l = h + 18; z = q + 16; f = 11; p = l + 15; i = f + 6; h = o + 12; m = f + 14; r = w + 13; t = p + 8. If f = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 15 to t, which gives t = l + 23.\n2. Substitute l = h + 18 to t, which gives t = h + 41.\n3. Substitute h = o + 12 to t, which gives t = o + 53.\n4. Substitute o = m + 3 to t, which gives t = m + 56.\n5. Substitute m = f + 14 to t, which gives t = f + 70.\n6. Substitute f = 11 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 18269,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 6; o = m + 3; w = z + 1; j = i + 2; l = h + 18; z = q + 16; f = 11; p = l + 15; i = f + 6; h = o + 12; m = f + 14; r = w + 13; t = p + 8. If f = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 5", "c": "e + 11", "a": "c + 15", "z": "a + 8", "b": "z + 16", "m": "b + 19", "r": "j + 7", "f": "r + 18", "u": "f + 7", "d": "u + 1", "x": "d + 17", "y": "x + 2", "j": 5}, "premises": {"j": 5}, "target": "m"}, "answer": {"steps": [["b", "z + 16", "z + 35"], ["z", "a + 8", "a + 43"], ["a", "c + 15", "c + 58"], ["c", "e + 11", "e + 69"], ["e", "j + 5", "j + 74"], ["j", 5, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"j": 5}, "is_reverse": true}} | 18,270 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 2; j = 5; z = a + 8; e = j + 5; a = c + 15; m = b + 19; u = f + 7; x = d + 17; d = u + 1; c = e + 11; r = j + 7; b = z + 16; f = r + 18. Given that j = 5, 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 b = z + 16 to m, which gives m = z + 35.\n2. Substitute z = a + 8 to m, which gives m = a + 43.\n3. Substitute a = c + 15 to m, which gives m = c + 58.\n4. Substitute c = e + 11 to m, which gives m = e + 69.\n5. Substitute e = j + 5 to m, which gives m = j + 74.\n6. Substitute j = 5 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 18270,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 2; j = 5; z = a + 8; e = j + 5; a = c + 15; m = b + 19; u = f + 7; x = d + 17; d = u + 1; c = e + 11; r = j + 7; b = z + 16; f = r + 18. Given that j = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 12", "o": "v + 7", "d": "o + 11", "e": "d + 9", "y": "e + 7", "q": "y + 6", "p": "x + 9", "n": "p + 18", "s": "n + 13", "h": "s + 15", "a": "h + 7", "f": "a + 9", "x": 4}, "premises": {"x": 4}, "target": "q"}, "answer": {"steps": [["y", "e + 7", "e + 13"], ["e", "d + 9", "d + 22"], ["d", "o + 11", "o + 33"], ["o", "v + 7", "v + 40"], ["v", "x + 12", "x + 52"], ["x", 4, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"x": 4}, "is_reverse": true}} | 18,271 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = x + 12; f = a + 9; p = x + 9; e = d + 9; o = v + 7; a = h + 7; s = n + 13; n = p + 18; h = s + 15; x = 4; d = o + 11; q = y + 6; y = e + 7. Given that x = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 7 to q, which gives q = e + 13.\n2. Substitute e = d + 9 to q, which gives q = d + 22.\n3. Substitute d = o + 11 to q, which gives q = o + 33.\n4. Substitute o = v + 7 to q, which gives q = v + 40.\n5. Substitute v = x + 12 to q, which gives q = x + 52.\n6. Substitute x = 4 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 18271,
"question": "Suppose a collection of variables is related by the following definitions: v = x + 12; f = a + 9; p = x + 9; e = d + 9; o = v + 7; a = h + 7; s = n + 13; n = p + 18; h = s + 15; x = 4; d = o + 11; q = y + 6; y = e + 7. Given that x = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 9", "d": "n + 8", "e": "d + 13", "l": "e + 1", "c": "l + 18", "m": "c + 18", "o": "g + 15", "h": "o + 8", "z": "h + 15", "t": "z + 3", "s": "t + 9", "x": "s + 15", "g": 6}, "premises": {"g": 6}, "target": "m"}, "answer": {"steps": [["c", "l + 18", "l + 36"], ["l", "e + 1", "e + 37"], ["e", "d + 13", "d + 50"], ["d", "n + 8", "n + 58"], ["n", "g + 9", "g + 67"], ["g", 6, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"g": 6}, "is_reverse": true}} | 18,272 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 3; s = t + 9; o = g + 15; z = h + 15; g = 6; h = o + 8; e = d + 13; m = c + 18; x = s + 15; d = n + 8; l = e + 1; c = l + 18; n = g + 9. If g = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 18 to m, which gives m = l + 36.\n2. Substitute l = e + 1 to m, which gives m = e + 37.\n3. Substitute e = d + 13 to m, which gives m = d + 50.\n4. Substitute d = n + 8 to m, which gives m = n + 58.\n5. Substitute n = g + 9 to m, which gives m = g + 67.\n6. Substitute g = 6 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 18272,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 3; s = t + 9; o = g + 15; z = h + 15; g = 6; h = o + 8; e = d + 13; m = c + 18; x = s + 15; d = n + 8; l = e + 1; c = l + 18; n = g + 9. If g = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 12", "s": "t + 18", "o": "s + 12", "v": "o + 19", "g": "v + 20", "a": "g + 8", "y": "p + 1", "m": "y + 10", "r": "m + 10", "h": "r + 5", "j": "h + 8", "e": "j + 6", "p": 10}, "premises": {"p": 10}, "target": "a"}, "answer": {"steps": [["g", "v + 20", "v + 28"], ["v", "o + 19", "o + 47"], ["o", "s + 12", "s + 59"], ["s", "t + 18", "t + 77"], ["t", "p + 12", "p + 89"], ["p", 10, "99"]], "target_var_name": "a", "target_value": 99, "value_dict": {"p": 10}, "is_reverse": true}} | 18,273 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 12; o = s + 12; y = p + 1; g = v + 20; r = m + 10; j = h + 8; s = t + 18; p = 10; h = r + 5; e = j + 6; v = o + 19; a = g + 8; m = y + 10. If p = 10, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 20 to a, which gives a = v + 28.\n2. Substitute v = o + 19 to a, which gives a = o + 47.\n3. Substitute o = s + 12 to a, which gives a = s + 59.\n4. Substitute s = t + 18 to a, which gives a = t + 77.\n5. Substitute t = p + 12 to a, which gives a = p + 89.\n6. Substitute p = 10 to a, which gives a = 99.\n\nThus, the final answer is a = \\boxed{99}.",
"index": 18273,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 12; o = s + 12; y = p + 1; g = v + 20; r = m + 10; j = h + 8; s = t + 18; p = 10; h = r + 5; e = j + 6; v = o + 19; a = g + 8; m = y + 10. If p = 10, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 19", "c": "k + 14", "v": "c + 1", "n": "v + 15", "e": "n + 8", "r": "e + 2", "g": "y + 13", "l": "g + 10", "m": "l + 17", "d": "m + 4", "h": "d + 13", "w": "h + 2", "y": 8}, "premises": {"y": 8}, "target": "r"}, "answer": {"steps": [["e", "n + 8", "n + 10"], ["n", "v + 15", "v + 25"], ["v", "c + 1", "c + 26"], ["c", "k + 14", "k + 40"], ["k", "y + 19", "y + 59"], ["y", 8, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"y": 8}, "is_reverse": true}} | 18,274 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 2; e = n + 8; n = v + 15; l = g + 10; h = d + 13; g = y + 13; r = e + 2; k = y + 19; m = l + 17; d = m + 4; c = k + 14; v = c + 1; y = 8. Given that y = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 8 to r, which gives r = n + 10.\n2. Substitute n = v + 15 to r, which gives r = v + 25.\n3. Substitute v = c + 1 to r, which gives r = c + 26.\n4. Substitute c = k + 14 to r, which gives r = k + 40.\n5. Substitute k = y + 19 to r, which gives r = y + 59.\n6. Substitute y = 8 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 18274,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 2; e = n + 8; n = v + 15; l = g + 10; h = d + 13; g = y + 13; r = e + 2; k = y + 19; m = l + 17; d = m + 4; c = k + 14; v = c + 1; y = 8. Given that y = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 2", "n": "a + 16", "z": "n + 8", "j": "z + 14", "t": "j + 5", "e": "t + 3", "p": "y + 10", "i": "p + 19", "o": "i + 12", "w": "o + 20", "h": "w + 2", "f": "h + 20", "y": 14}, "premises": {"y": 14}, "target": "e"}, "answer": {"steps": [["t", "j + 5", "j + 8"], ["j", "z + 14", "z + 22"], ["z", "n + 8", "n + 30"], ["n", "a + 16", "a + 46"], ["a", "y + 2", "y + 48"], ["y", 14, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"y": 14}, "is_reverse": true}} | 18,275 | 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 = h + 20; j = z + 14; y = 14; p = y + 10; e = t + 3; z = n + 8; h = w + 2; n = a + 16; i = p + 19; a = y + 2; t = j + 5; o = i + 12; w = o + 20. If y = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 5 to e, which gives e = j + 8.\n2. Substitute j = z + 14 to e, which gives e = z + 22.\n3. Substitute z = n + 8 to e, which gives e = n + 30.\n4. Substitute n = a + 16 to e, which gives e = a + 46.\n5. Substitute a = y + 2 to e, which gives e = y + 48.\n6. Substitute y = 14 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 18275,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 20; j = z + 14; y = 14; p = y + 10; e = t + 3; z = n + 8; h = w + 2; n = a + 16; i = p + 19; a = y + 2; t = j + 5; o = i + 12; w = o + 20. If y = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 17", "b": "u + 19", "t": "b + 7", "x": "t + 12", "w": "x + 19", "c": "w + 10", "k": "o + 3", "a": "k + 15", "n": "a + 5", "j": "n + 16", "f": "j + 17", "v": "f + 7", "o": 10}, "premises": {"o": 10}, "target": "c"}, "answer": {"steps": [["w", "x + 19", "x + 29"], ["x", "t + 12", "t + 41"], ["t", "b + 7", "b + 48"], ["b", "u + 19", "u + 67"], ["u", "o + 17", "o + 84"], ["o", 10, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"o": 10}, "is_reverse": true}} | 18,276 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 19; v = f + 7; u = o + 17; c = w + 10; a = k + 15; b = u + 19; n = a + 5; j = n + 16; k = o + 3; x = t + 12; t = b + 7; f = j + 17; o = 10. If o = 10, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 19 to c, which gives c = x + 29.\n2. Substitute x = t + 12 to c, which gives c = t + 41.\n3. Substitute t = b + 7 to c, which gives c = b + 48.\n4. Substitute b = u + 19 to c, which gives c = u + 67.\n5. Substitute u = o + 17 to c, which gives c = o + 84.\n6. Substitute o = 10 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 18276,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 19; v = f + 7; u = o + 17; c = w + 10; a = k + 15; b = u + 19; n = a + 5; j = n + 16; k = o + 3; x = t + 12; t = b + 7; f = j + 17; o = 10. If o = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 19", "z": "u + 2", "q": "z + 5", "o": "q + 15", "n": "o + 7", "p": "n + 11", "b": "x + 10", "a": "b + 14", "j": "a + 14", "d": "j + 12", "y": "d + 13", "f": "y + 6", "x": 13}, "premises": {"x": 13}, "target": "p"}, "answer": {"steps": [["n", "o + 7", "o + 18"], ["o", "q + 15", "q + 33"], ["q", "z + 5", "z + 38"], ["z", "u + 2", "u + 40"], ["u", "x + 19", "x + 59"], ["x", 13, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"x": 13}, "is_reverse": true}} | 18,277 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 12; q = z + 5; u = x + 19; x = 13; f = y + 6; y = d + 13; n = o + 7; p = n + 11; o = q + 15; a = b + 14; z = u + 2; b = x + 10; j = a + 14. Given that x = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 7 to p, which gives p = o + 18.\n2. Substitute o = q + 15 to p, which gives p = q + 33.\n3. Substitute q = z + 5 to p, which gives p = z + 38.\n4. Substitute z = u + 2 to p, which gives p = u + 40.\n5. Substitute u = x + 19 to p, which gives p = x + 59.\n6. Substitute x = 13 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 18277,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 12; q = z + 5; u = x + 19; x = 13; f = y + 6; y = d + 13; n = o + 7; p = n + 11; o = q + 15; a = b + 14; z = u + 2; b = x + 10; j = a + 14. Given that x = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 2", "j": "d + 15", "m": "j + 11", "n": "m + 3", "t": "n + 18", "z": "t + 10", "y": "a + 6", "e": "y + 7", "w": "e + 12", "k": "w + 2", "o": "k + 18", "c": "o + 15", "a": 11}, "premises": {"a": 11}, "target": "z"}, "answer": {"steps": [["t", "n + 18", "n + 28"], ["n", "m + 3", "m + 31"], ["m", "j + 11", "j + 42"], ["j", "d + 15", "d + 57"], ["d", "a + 2", "a + 59"], ["a", 11, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"a": 11}, "is_reverse": true}} | 18,278 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 18; w = e + 12; c = o + 15; m = j + 11; j = d + 15; z = t + 10; a = 11; d = a + 2; o = k + 18; y = a + 6; k = w + 2; e = y + 7; n = m + 3. If a = 11, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 18 to z, which gives z = n + 28.\n2. Substitute n = m + 3 to z, which gives z = m + 31.\n3. Substitute m = j + 11 to z, which gives z = j + 42.\n4. Substitute j = d + 15 to z, which gives z = d + 57.\n5. Substitute d = a + 2 to z, which gives z = a + 59.\n6. Substitute a = 11 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 18278,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 18; w = e + 12; c = o + 15; m = j + 11; j = d + 15; z = t + 10; a = 11; d = a + 2; o = k + 18; y = a + 6; k = w + 2; e = y + 7; n = m + 3. If a = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 11", "v": "n + 11", "g": "v + 11", "m": "g + 2", "k": "m + 11", "p": "k + 1", "x": "t + 4", "d": "x + 6", "l": "d + 5", "a": "l + 12", "s": "a + 20", "j": "s + 19", "t": 12}, "premises": {"t": 12}, "target": "p"}, "answer": {"steps": [["k", "m + 11", "m + 12"], ["m", "g + 2", "g + 14"], ["g", "v + 11", "v + 25"], ["v", "n + 11", "n + 36"], ["n", "t + 11", "t + 47"], ["t", 12, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"t": 12}, "is_reverse": true}} | 18,279 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 4; d = x + 6; p = k + 1; v = n + 11; j = s + 19; s = a + 20; g = v + 11; m = g + 2; k = m + 11; t = 12; l = d + 5; a = l + 12; n = t + 11. If t = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 11 to p, which gives p = m + 12.\n2. Substitute m = g + 2 to p, which gives p = g + 14.\n3. Substitute g = v + 11 to p, which gives p = v + 25.\n4. Substitute v = n + 11 to p, which gives p = n + 36.\n5. Substitute n = t + 11 to p, which gives p = t + 47.\n6. Substitute t = 12 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 18279,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 4; d = x + 6; p = k + 1; v = n + 11; j = s + 19; s = a + 20; g = v + 11; m = g + 2; k = m + 11; t = 12; l = d + 5; a = l + 12; n = t + 11. If t = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 4", "i": "g + 9", "u": "i + 13", "z": "u + 7", "m": "z + 10", "j": "m + 7", "q": "a + 5", "b": "q + 15", "n": "b + 15", "k": "n + 18", "o": "k + 14", "s": "o + 10", "a": 3}, "premises": {"a": 3}, "target": "j"}, "answer": {"steps": [["m", "z + 10", "z + 17"], ["z", "u + 7", "u + 24"], ["u", "i + 13", "i + 37"], ["i", "g + 9", "g + 46"], ["g", "a + 4", "a + 50"], ["a", 3, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"a": 3}, "is_reverse": true}} | 18,280 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 9; j = m + 7; o = k + 14; k = n + 18; a = 3; s = o + 10; u = i + 13; g = a + 4; n = b + 15; q = a + 5; z = u + 7; b = q + 15; m = z + 10. If a = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 10 to j, which gives j = z + 17.\n2. Substitute z = u + 7 to j, which gives j = u + 24.\n3. Substitute u = i + 13 to j, which gives j = i + 37.\n4. Substitute i = g + 9 to j, which gives j = g + 46.\n5. Substitute g = a + 4 to j, which gives j = a + 50.\n6. Substitute a = 3 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 18280,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 9; j = m + 7; o = k + 14; k = n + 18; a = 3; s = o + 10; u = i + 13; g = a + 4; n = b + 15; q = a + 5; z = u + 7; b = q + 15; m = z + 10. If a = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 1", "g": "z + 5", "d": "g + 19", "c": "d + 14", "x": "c + 2", "p": "x + 14", "e": "h + 20", "n": "e + 16", "k": "n + 15", "t": "k + 20", "u": "t + 19", "f": "u + 19", "h": 15}, "premises": {"h": 15}, "target": "p"}, "answer": {"steps": [["x", "c + 2", "c + 16"], ["c", "d + 14", "d + 30"], ["d", "g + 19", "g + 49"], ["g", "z + 5", "z + 54"], ["z", "h + 1", "h + 55"], ["h", 15, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"h": 15}, "is_reverse": true}} | 18,281 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 19; p = x + 14; e = h + 20; z = h + 1; g = z + 5; h = 15; k = n + 15; x = c + 2; c = d + 14; d = g + 19; t = k + 20; n = e + 16; u = t + 19. Given that h = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 2 to p, which gives p = c + 16.\n2. Substitute c = d + 14 to p, which gives p = d + 30.\n3. Substitute d = g + 19 to p, which gives p = g + 49.\n4. Substitute g = z + 5 to p, which gives p = z + 54.\n5. Substitute z = h + 1 to p, which gives p = h + 55.\n6. Substitute h = 15 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 18281,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 19; p = x + 14; e = h + 20; z = h + 1; g = z + 5; h = 15; k = n + 15; x = c + 2; c = d + 14; d = g + 19; t = k + 20; n = e + 16; u = t + 19. Given that h = 15, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 8", "j": "o + 13", "l": "j + 2", "u": "l + 20", "x": "u + 4", "v": "x + 9", "w": "s + 20", "t": "w + 18", "f": "t + 15", "p": "f + 14", "h": "p + 6", "m": "h + 16", "s": 16}, "premises": {"s": 16}, "target": "v"}, "answer": {"steps": [["x", "u + 4", "u + 13"], ["u", "l + 20", "l + 33"], ["l", "j + 2", "j + 35"], ["j", "o + 13", "o + 48"], ["o", "s + 8", "s + 56"], ["s", 16, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"s": 16}, "is_reverse": true}} | 18,282 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 2; m = h + 16; j = o + 13; u = l + 20; x = u + 4; s = 16; o = s + 8; p = f + 14; t = w + 18; v = x + 9; w = s + 20; f = t + 15; h = p + 6. If s = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 4 to v, which gives v = u + 13.\n2. Substitute u = l + 20 to v, which gives v = l + 33.\n3. Substitute l = j + 2 to v, which gives v = j + 35.\n4. Substitute j = o + 13 to v, which gives v = o + 48.\n5. Substitute o = s + 8 to v, which gives v = s + 56.\n6. Substitute s = 16 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 18282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 2; m = h + 16; j = o + 13; u = l + 20; x = u + 4; s = 16; o = s + 8; p = f + 14; t = w + 18; v = x + 9; w = s + 20; f = t + 15; h = p + 6. If s = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 13", "x": "y + 7", "s": "x + 3", "e": "s + 15", "q": "e + 11", "v": "q + 5", "u": "m + 13", "d": "u + 10", "p": "d + 17", "z": "p + 10", "i": "z + 17", "t": "i + 6", "m": 1}, "premises": {"m": 1}, "target": "v"}, "answer": {"steps": [["q", "e + 11", "e + 16"], ["e", "s + 15", "s + 31"], ["s", "x + 3", "x + 34"], ["x", "y + 7", "y + 41"], ["y", "m + 13", "m + 54"], ["m", 1, "55"]], "target_var_name": "v", "target_value": 55, "value_dict": {"m": 1}, "is_reverse": true}} | 18,283 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 17; y = m + 13; x = y + 7; v = q + 5; m = 1; d = u + 10; i = z + 17; z = p + 10; q = e + 11; t = i + 6; u = m + 13; s = x + 3; e = s + 15. Given that m = 1, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 11 to v, which gives v = e + 16.\n2. Substitute e = s + 15 to v, which gives v = s + 31.\n3. Substitute s = x + 3 to v, which gives v = x + 34.\n4. Substitute x = y + 7 to v, which gives v = y + 41.\n5. Substitute y = m + 13 to v, which gives v = m + 54.\n6. Substitute m = 1 to v, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 18283,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 17; y = m + 13; x = y + 7; v = q + 5; m = 1; d = u + 10; i = z + 17; z = p + 10; q = e + 11; t = i + 6; u = m + 13; s = x + 3; e = s + 15. Given that m = 1, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 2", "r": "k + 9", "j": "r + 4", "a": "j + 2", "t": "a + 14", "v": "t + 20", "w": "z + 17", "b": "w + 19", "p": "b + 19", "h": "p + 3", "x": "h + 12", "g": "x + 17", "z": 1}, "premises": {"z": 1}, "target": "v"}, "answer": {"steps": [["t", "a + 14", "a + 34"], ["a", "j + 2", "j + 36"], ["j", "r + 4", "r + 40"], ["r", "k + 9", "k + 49"], ["k", "z + 2", "z + 51"], ["z", 1, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"z": 1}, "is_reverse": true}} | 18,284 | 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 = r + 4; r = k + 9; p = b + 19; a = j + 2; z = 1; g = x + 17; w = z + 17; x = h + 12; h = p + 3; v = t + 20; b = w + 19; t = a + 14; k = z + 2. If z = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 14 to v, which gives v = a + 34.\n2. Substitute a = j + 2 to v, which gives v = j + 36.\n3. Substitute j = r + 4 to v, which gives v = r + 40.\n4. Substitute r = k + 9 to v, which gives v = k + 49.\n5. Substitute k = z + 2 to v, which gives v = z + 51.\n6. Substitute z = 1 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 18284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = r + 4; r = k + 9; p = b + 19; a = j + 2; z = 1; g = x + 17; w = z + 17; x = h + 12; h = p + 3; v = t + 20; b = w + 19; t = a + 14; k = z + 2. If z = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 7", "m": "a + 10", "y": "m + 20", "q": "y + 5", "l": "q + 16", "x": "l + 4", "f": "h + 4", "e": "f + 18", "p": "e + 16", "w": "p + 19", "c": "w + 1", "g": "c + 14", "h": 3}, "premises": {"h": 3}, "target": "x"}, "answer": {"steps": [["l", "q + 16", "q + 20"], ["q", "y + 5", "y + 25"], ["y", "m + 20", "m + 45"], ["m", "a + 10", "a + 55"], ["a", "h + 7", "h + 62"], ["h", 3, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"h": 3}, "is_reverse": true}} | 18,285 | 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 = q + 16; g = c + 14; y = m + 20; h = 3; f = h + 4; e = f + 18; x = l + 4; m = a + 10; c = w + 1; w = p + 19; q = y + 5; a = h + 7; p = e + 16. If h = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 16 to x, which gives x = q + 20.\n2. Substitute q = y + 5 to x, which gives x = y + 25.\n3. Substitute y = m + 20 to x, which gives x = m + 45.\n4. Substitute m = a + 10 to x, which gives x = a + 55.\n5. Substitute a = h + 7 to x, which gives x = h + 62.\n6. Substitute h = 3 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 18285,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 16; g = c + 14; y = m + 20; h = 3; f = h + 4; e = f + 18; x = l + 4; m = a + 10; c = w + 1; w = p + 19; q = y + 5; a = h + 7; p = e + 16. If h = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 7", "w": "o + 6", "p": "w + 15", "r": "p + 12", "e": "r + 17", "x": "e + 8", "y": "t + 20", "q": "y + 20", "k": "q + 5", "d": "k + 13", "h": "d + 6", "u": "h + 3", "t": 10}, "premises": {"t": 10}, "target": "x"}, "answer": {"steps": [["e", "r + 17", "r + 25"], ["r", "p + 12", "p + 37"], ["p", "w + 15", "w + 52"], ["w", "o + 6", "o + 58"], ["o", "t + 7", "t + 65"], ["t", 10, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"t": 10}, "is_reverse": true}} | 18,286 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 15; y = t + 20; q = y + 20; w = o + 6; t = 10; e = r + 17; o = t + 7; h = d + 6; u = h + 3; k = q + 5; d = k + 13; x = e + 8; r = p + 12. If t = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 17 to x, which gives x = r + 25.\n2. Substitute r = p + 12 to x, which gives x = p + 37.\n3. Substitute p = w + 15 to x, which gives x = w + 52.\n4. Substitute w = o + 6 to x, which gives x = o + 58.\n5. Substitute o = t + 7 to x, which gives x = t + 65.\n6. Substitute t = 10 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 18286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 15; y = t + 20; q = y + 20; w = o + 6; t = 10; e = r + 17; o = t + 7; h = d + 6; u = h + 3; k = q + 5; d = k + 13; x = e + 8; r = p + 12. If t = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 10", "n": "y + 6", "v": "n + 16", "d": "v + 7", "z": "d + 1", "r": "z + 3", "j": "h + 18", "a": "j + 18", "g": "a + 19", "s": "g + 14", "m": "s + 1", "i": "m + 3", "h": 13}, "premises": {"h": 13}, "target": "r"}, "answer": {"steps": [["z", "d + 1", "d + 4"], ["d", "v + 7", "v + 11"], ["v", "n + 16", "n + 27"], ["n", "y + 6", "y + 33"], ["y", "h + 10", "h + 43"], ["h", 13, "56"]], "target_var_name": "r", "target_value": 56, "value_dict": {"h": 13}, "is_reverse": true}} | 18,287 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 13; z = d + 1; v = n + 16; d = v + 7; i = m + 3; y = h + 10; a = j + 18; j = h + 18; s = g + 14; r = z + 3; n = y + 6; g = a + 19; m = s + 1. Given that h = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 1 to r, which gives r = d + 4.\n2. Substitute d = v + 7 to r, which gives r = v + 11.\n3. Substitute v = n + 16 to r, which gives r = n + 27.\n4. Substitute n = y + 6 to r, which gives r = y + 33.\n5. Substitute y = h + 10 to r, which gives r = h + 43.\n6. Substitute h = 13 to r, which gives r = 56.\n\nThus, the final answer is r = \\boxed{56}.",
"index": 18287,
"question": "Suppose a collection of variables is related by the following definitions: h = 13; z = d + 1; v = n + 16; d = v + 7; i = m + 3; y = h + 10; a = j + 18; j = h + 18; s = g + 14; r = z + 3; n = y + 6; g = a + 19; m = s + 1. Given that h = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 2", "w": "c + 10", "h": "w + 1", "s": "h + 16", "p": "s + 14", "k": "p + 6", "z": "t + 12", "y": "z + 14", "v": "y + 18", "b": "v + 8", "u": "b + 13", "l": "u + 3", "t": 11}, "premises": {"t": 11}, "target": "k"}, "answer": {"steps": [["p", "s + 14", "s + 20"], ["s", "h + 16", "h + 36"], ["h", "w + 1", "w + 37"], ["w", "c + 10", "c + 47"], ["c", "t + 2", "t + 49"], ["t", 11, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"t": 11}, "is_reverse": true}} | 18,288 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 3; c = t + 2; t = 11; p = s + 14; s = h + 16; h = w + 1; z = t + 12; v = y + 18; y = z + 14; u = b + 13; b = v + 8; k = p + 6; w = c + 10. Given that t = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 14 to k, which gives k = s + 20.\n2. Substitute s = h + 16 to k, which gives k = h + 36.\n3. Substitute h = w + 1 to k, which gives k = w + 37.\n4. Substitute w = c + 10 to k, which gives k = c + 47.\n5. Substitute c = t + 2 to k, which gives k = t + 49.\n6. Substitute t = 11 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 18288,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 3; c = t + 2; t = 11; p = s + 14; s = h + 16; h = w + 1; z = t + 12; v = y + 18; y = z + 14; u = b + 13; b = v + 8; k = p + 6; w = c + 10. Given that t = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 8", "m": "o + 5", "q": "m + 20", "i": "q + 14", "r": "i + 18", "n": "r + 19", "a": "u + 13", "j": "a + 9", "y": "j + 1", "l": "y + 7", "v": "l + 19", "c": "v + 8", "u": 8}, "premises": {"u": 8}, "target": "n"}, "answer": {"steps": [["r", "i + 18", "i + 37"], ["i", "q + 14", "q + 51"], ["q", "m + 20", "m + 71"], ["m", "o + 5", "o + 76"], ["o", "u + 8", "u + 84"], ["u", 8, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"u": 8}, "is_reverse": true}} | 18,289 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = j + 1; m = o + 5; c = v + 8; o = u + 8; u = 8; r = i + 18; l = y + 7; a = u + 13; j = a + 9; v = l + 19; q = m + 20; i = q + 14; n = r + 19. If u = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 18 to n, which gives n = i + 37.\n2. Substitute i = q + 14 to n, which gives n = q + 51.\n3. Substitute q = m + 20 to n, which gives n = m + 71.\n4. Substitute m = o + 5 to n, which gives n = o + 76.\n5. Substitute o = u + 8 to n, which gives n = u + 84.\n6. Substitute u = 8 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 18289,
"question": "Consider a system of variables where each variable is defined as follows: y = j + 1; m = o + 5; c = v + 8; o = u + 8; u = 8; r = i + 18; l = y + 7; a = u + 13; j = a + 9; v = l + 19; q = m + 20; i = q + 14; n = r + 19. If u = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 12", "c": "v + 10", "l": "c + 2", "z": "l + 14", "k": "z + 11", "u": "k + 11", "g": "b + 10", "n": "g + 19", "q": "n + 8", "y": "q + 18", "t": "y + 4", "o": "t + 17", "b": 2}, "premises": {"b": 2}, "target": "u"}, "answer": {"steps": [["k", "z + 11", "z + 22"], ["z", "l + 14", "l + 36"], ["l", "c + 2", "c + 38"], ["c", "v + 10", "v + 48"], ["v", "b + 12", "b + 60"], ["b", 2, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"b": 2}, "is_reverse": true}} | 18,290 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 11; g = b + 10; z = l + 14; y = q + 18; c = v + 10; b = 2; t = y + 4; v = b + 12; n = g + 19; l = c + 2; q = n + 8; o = t + 17; u = k + 11. Given that b = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 11 to u, which gives u = z + 22.\n2. Substitute z = l + 14 to u, which gives u = l + 36.\n3. Substitute l = c + 2 to u, which gives u = c + 38.\n4. Substitute c = v + 10 to u, which gives u = v + 48.\n5. Substitute v = b + 12 to u, which gives u = b + 60.\n6. Substitute b = 2 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 18290,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 11; g = b + 10; z = l + 14; y = q + 18; c = v + 10; b = 2; t = y + 4; v = b + 12; n = g + 19; l = c + 2; q = n + 8; o = t + 17; u = k + 11. Given that b = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 13", "q": "u + 1", "w": "q + 15", "o": "w + 11", "a": "o + 12", "k": "a + 15", "f": "v + 19", "p": "f + 7", "r": "p + 10", "z": "r + 15", "j": "z + 18", "c": "j + 15", "v": 12}, "premises": {"v": 12}, "target": "k"}, "answer": {"steps": [["a", "o + 12", "o + 27"], ["o", "w + 11", "w + 38"], ["w", "q + 15", "q + 53"], ["q", "u + 1", "u + 54"], ["u", "v + 13", "v + 67"], ["v", 12, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"v": 12}, "is_reverse": true}} | 18,291 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 11; j = z + 18; k = a + 15; q = u + 1; c = j + 15; w = q + 15; f = v + 19; u = v + 13; a = o + 12; p = f + 7; v = 12; r = p + 10; z = r + 15. If v = 12, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 12 to k, which gives k = o + 27.\n2. Substitute o = w + 11 to k, which gives k = w + 38.\n3. Substitute w = q + 15 to k, which gives k = q + 53.\n4. Substitute q = u + 1 to k, which gives k = u + 54.\n5. Substitute u = v + 13 to k, which gives k = v + 67.\n6. Substitute v = 12 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 18291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 11; j = z + 18; k = a + 15; q = u + 1; c = j + 15; w = q + 15; f = v + 19; u = v + 13; a = o + 12; p = f + 7; v = 12; r = p + 10; z = r + 15. If v = 12, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 2", "s": "y + 2", "k": "s + 13", "d": "k + 13", "e": "d + 9", "x": "e + 16", "t": "i + 14", "q": "t + 20", "p": "q + 20", "j": "p + 9", "g": "j + 17", "h": "g + 1", "i": 14}, "premises": {"i": 14}, "target": "x"}, "answer": {"steps": [["e", "d + 9", "d + 25"], ["d", "k + 13", "k + 38"], ["k", "s + 13", "s + 51"], ["s", "y + 2", "y + 53"], ["y", "i + 2", "i + 55"], ["i", 14, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"i": 14}, "is_reverse": true}} | 18,292 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 17; x = e + 16; s = y + 2; p = q + 20; t = i + 14; k = s + 13; i = 14; j = p + 9; y = i + 2; d = k + 13; e = d + 9; q = t + 20; h = g + 1. Given that i = 14, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 9 to x, which gives x = d + 25.\n2. Substitute d = k + 13 to x, which gives x = k + 38.\n3. Substitute k = s + 13 to x, which gives x = s + 51.\n4. Substitute s = y + 2 to x, which gives x = y + 53.\n5. Substitute y = i + 2 to x, which gives x = i + 55.\n6. Substitute i = 14 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 18292,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 17; x = e + 16; s = y + 2; p = q + 20; t = i + 14; k = s + 13; i = 14; j = p + 9; y = i + 2; d = k + 13; e = d + 9; q = t + 20; h = g + 1. Given that i = 14, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 9", "a": "z + 16", "d": "a + 16", "c": "d + 14", "u": "c + 9", "k": "u + 13", "t": "n + 14", "e": "t + 15", "j": "e + 3", "m": "j + 8", "i": "m + 4", "f": "i + 5", "n": 6}, "premises": {"n": 6}, "target": "k"}, "answer": {"steps": [["u", "c + 9", "c + 22"], ["c", "d + 14", "d + 36"], ["d", "a + 16", "a + 52"], ["a", "z + 16", "z + 68"], ["z", "n + 9", "n + 77"], ["n", 6, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"n": 6}, "is_reverse": true}} | 18,293 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 16; f = i + 5; j = e + 3; c = d + 14; k = u + 13; i = m + 4; d = a + 16; u = c + 9; z = n + 9; m = j + 8; e = t + 15; t = n + 14; n = 6. If n = 6, 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 u = c + 9 to k, which gives k = c + 22.\n2. Substitute c = d + 14 to k, which gives k = d + 36.\n3. Substitute d = a + 16 to k, which gives k = a + 52.\n4. Substitute a = z + 16 to k, which gives k = z + 68.\n5. Substitute z = n + 9 to k, which gives k = n + 77.\n6. Substitute n = 6 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 18293,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 16; f = i + 5; j = e + 3; c = d + 14; k = u + 13; i = m + 4; d = a + 16; u = c + 9; z = n + 9; m = j + 8; e = t + 15; t = n + 14; n = 6. If n = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 8", "v": "g + 19", "j": "v + 19", "q": "j + 15", "b": "q + 11", "l": "b + 6", "m": "z + 9", "h": "m + 19", "x": "h + 20", "u": "x + 10", "e": "u + 20", "p": "e + 10", "z": 6}, "premises": {"z": 6}, "target": "l"}, "answer": {"steps": [["b", "q + 11", "q + 17"], ["q", "j + 15", "j + 32"], ["j", "v + 19", "v + 51"], ["v", "g + 19", "g + 70"], ["g", "z + 8", "z + 78"], ["z", 6, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"z": 6}, "is_reverse": true}} | 18,294 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 20; m = z + 9; z = 6; l = b + 6; b = q + 11; u = x + 10; g = z + 8; x = h + 20; h = m + 19; v = g + 19; p = e + 10; j = v + 19; q = j + 15. If z = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 11 to l, which gives l = q + 17.\n2. Substitute q = j + 15 to l, which gives l = j + 32.\n3. Substitute j = v + 19 to l, which gives l = v + 51.\n4. Substitute v = g + 19 to l, which gives l = g + 70.\n5. Substitute g = z + 8 to l, which gives l = z + 78.\n6. Substitute z = 6 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 18294,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 20; m = z + 9; z = 6; l = b + 6; b = q + 11; u = x + 10; g = z + 8; x = h + 20; h = m + 19; v = g + 19; p = e + 10; j = v + 19; q = j + 15. If z = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 6", "d": "j + 11", "o": "d + 9", "i": "o + 3", "t": "i + 15", "v": "t + 12", "s": "h + 6", "m": "s + 4", "u": "m + 14", "r": "u + 7", "y": "r + 1", "x": "y + 12", "h": 4}, "premises": {"h": 4}, "target": "v"}, "answer": {"steps": [["t", "i + 15", "i + 27"], ["i", "o + 3", "o + 30"], ["o", "d + 9", "d + 39"], ["d", "j + 11", "j + 50"], ["j", "h + 6", "h + 56"], ["h", 4, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"h": 4}, "is_reverse": true}} | 18,295 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 15; d = j + 11; j = h + 6; u = m + 14; r = u + 7; x = y + 12; y = r + 1; h = 4; s = h + 6; i = o + 3; v = t + 12; o = d + 9; m = s + 4. If h = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 15 to v, which gives v = i + 27.\n2. Substitute i = o + 3 to v, which gives v = o + 30.\n3. Substitute o = d + 9 to v, which gives v = d + 39.\n4. Substitute d = j + 11 to v, which gives v = j + 50.\n5. Substitute j = h + 6 to v, which gives v = h + 56.\n6. Substitute h = 4 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 18295,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 15; d = j + 11; j = h + 6; u = m + 14; r = u + 7; x = y + 12; y = r + 1; h = 4; s = h + 6; i = o + 3; v = t + 12; o = d + 9; m = s + 4. If h = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 11", "d": "i + 8", "k": "d + 2", "f": "k + 20", "p": "f + 6", "t": "p + 5", "q": "x + 10", "h": "q + 17", "e": "h + 11", "y": "e + 3", "s": "y + 6", "b": "s + 15", "x": 20}, "premises": {"x": 20}, "target": "t"}, "answer": {"steps": [["p", "f + 6", "f + 11"], ["f", "k + 20", "k + 31"], ["k", "d + 2", "d + 33"], ["d", "i + 8", "i + 41"], ["i", "x + 11", "x + 52"], ["x", 20, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"x": 20}, "is_reverse": true}} | 18,296 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 15; i = x + 11; t = p + 5; p = f + 6; f = k + 20; h = q + 17; x = 20; q = x + 10; k = d + 2; y = e + 3; d = i + 8; e = h + 11; s = y + 6. Given that x = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 6 to t, which gives t = f + 11.\n2. Substitute f = k + 20 to t, which gives t = k + 31.\n3. Substitute k = d + 2 to t, which gives t = d + 33.\n4. Substitute d = i + 8 to t, which gives t = i + 41.\n5. Substitute i = x + 11 to t, which gives t = x + 52.\n6. Substitute x = 20 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 18296,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 15; i = x + 11; t = p + 5; p = f + 6; f = k + 20; h = q + 17; x = 20; q = x + 10; k = d + 2; y = e + 3; d = i + 8; e = h + 11; s = y + 6. Given that x = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 12", "j": "e + 19", "f": "j + 3", "q": "f + 5", "t": "q + 3", "h": "t + 14", "l": "s + 19", "y": "l + 11", "d": "y + 6", "r": "d + 7", "i": "r + 16", "m": "i + 13", "s": 3}, "premises": {"s": 3}, "target": "h"}, "answer": {"steps": [["t", "q + 3", "q + 17"], ["q", "f + 5", "f + 22"], ["f", "j + 3", "j + 25"], ["j", "e + 19", "e + 44"], ["e", "s + 12", "s + 56"], ["s", 3, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"s": 3}, "is_reverse": true}} | 18,297 | 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 + 7; q = f + 5; i = r + 16; d = y + 6; t = q + 3; h = t + 14; l = s + 19; m = i + 13; j = e + 19; f = j + 3; s = 3; e = s + 12; y = l + 11. If s = 3, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 3 to h, which gives h = q + 17.\n2. Substitute q = f + 5 to h, which gives h = f + 22.\n3. Substitute f = j + 3 to h, which gives h = j + 25.\n4. Substitute j = e + 19 to h, which gives h = e + 44.\n5. Substitute e = s + 12 to h, which gives h = s + 56.\n6. Substitute s = 3 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 18297,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 7; q = f + 5; i = r + 16; d = y + 6; t = q + 3; h = t + 14; l = s + 19; m = i + 13; j = e + 19; f = j + 3; s = 3; e = s + 12; y = l + 11. If s = 3, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 17", "u": "t + 4", "q": "u + 11", "e": "q + 20", "y": "e + 14", "b": "y + 8", "a": "m + 2", "d": "a + 14", "n": "d + 18", "i": "n + 6", "j": "i + 12", "k": "j + 5", "m": 1}, "premises": {"m": 1}, "target": "b"}, "answer": {"steps": [["y", "e + 14", "e + 22"], ["e", "q + 20", "q + 42"], ["q", "u + 11", "u + 53"], ["u", "t + 4", "t + 57"], ["t", "m + 17", "m + 74"], ["m", 1, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"m": 1}, "is_reverse": true}} | 18,298 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 1; d = a + 14; e = q + 20; a = m + 2; t = m + 17; y = e + 14; n = d + 18; u = t + 4; i = n + 6; b = y + 8; k = j + 5; q = u + 11; j = i + 12. Given that m = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 14 to b, which gives b = e + 22.\n2. Substitute e = q + 20 to b, which gives b = q + 42.\n3. Substitute q = u + 11 to b, which gives b = u + 53.\n4. Substitute u = t + 4 to b, which gives b = t + 57.\n5. Substitute t = m + 17 to b, which gives b = m + 74.\n6. Substitute m = 1 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 18298,
"question": "Suppose a collection of variables is related by the following definitions: m = 1; d = a + 14; e = q + 20; a = m + 2; t = m + 17; y = e + 14; n = d + 18; u = t + 4; i = n + 6; b = y + 8; k = j + 5; q = u + 11; j = i + 12. Given that m = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 7", "a": "q + 2", "w": "a + 16", "v": "w + 7", "e": "v + 9", "x": "e + 10", "u": "g + 14", "y": "u + 12", "s": "y + 3", "z": "s + 16", "m": "z + 17", "i": "m + 19", "g": 15}, "premises": {"g": 15}, "target": "x"}, "answer": {"steps": [["e", "v + 9", "v + 19"], ["v", "w + 7", "w + 26"], ["w", "a + 16", "a + 42"], ["a", "q + 2", "q + 44"], ["q", "g + 7", "g + 51"], ["g", 15, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"g": 15}, "is_reverse": true}} | 18,299 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = w + 7; s = y + 3; m = z + 17; z = s + 16; w = a + 16; e = v + 9; g = 15; x = e + 10; q = g + 7; i = m + 19; a = q + 2; y = u + 12; u = g + 14. Given that g = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 9 to x, which gives x = v + 19.\n2. Substitute v = w + 7 to x, which gives x = w + 26.\n3. Substitute w = a + 16 to x, which gives x = a + 42.\n4. Substitute a = q + 2 to x, which gives x = q + 44.\n5. Substitute q = g + 7 to x, which gives x = g + 51.\n6. Substitute g = 15 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 18299,
"question": "Suppose a collection of variables is related by the following definitions: v = w + 7; s = y + 3; m = z + 17; z = s + 16; w = a + 16; e = v + 9; g = 15; x = e + 10; q = g + 7; i = m + 19; a = q + 2; y = u + 12; u = g + 14. Given that g = 15, find the value of x.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.