meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"w": "u + 15", "d": "w + 5", "x": "d + 7", "t": "x + 5", "k": "t + 7", "s": "k + 19", "f": "u + 1", "a": "f + 6", "h": "a + 16", "n": "h + 20", "r": "n + 17", "q": "r + 2", "u": 11}, "premises": {"u": 11}, "target": "s"}, "answer": {"steps": [["k", "t + 7", "t + 26"], ["t", "x + 5", "x + 31"], ["x", "d + 7", "d + 38"], ["d", "w + 5", "w + 43"], ["w", "u + 15", "u + 58"], ["u", 11, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"u": 11}, "is_reverse": true}} | 19,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 5; h = a + 16; f = u + 1; a = f + 6; s = k + 19; k = t + 7; x = d + 7; w = u + 15; q = r + 2; d = w + 5; u = 11; n = h + 20; r = n + 17. If u = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 7 to s, which gives s = t + 26.\n2. Substitute t = x + 5 to s, which gives s = x + 31.\n3. Substitute x = d + 7 to s, which gives s = d + 38.\n4. Substitute d = w + 5 to s, which gives s = w + 43.\n5. Substitute w = u + 15 to s, which gives s = u + 58.\n6. Substitute u = 11 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 19400,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 5; h = a + 16; f = u + 1; a = f + 6; s = k + 19; k = t + 7; x = d + 7; w = u + 15; q = r + 2; d = w + 5; u = 11; n = h + 20; r = n + 17. If u = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 10", "u": "g + 9", "s": "u + 8", "r": "s + 13", "o": "r + 7", "i": "o + 10", "q": "f + 13", "c": "q + 13", "e": "c + 16", "a": "e + 14", "k": "a + 14", "n": "k + 7", "f": 14}, "premises": {"f": 14}, "target": "i"}, "answer": {"steps": [["o", "r + 7", "r + 17"], ["r", "s + 13", "s + 30"], ["s", "u + 8", "u + 38"], ["u", "g + 9", "g + 47"], ["g", "f + 10", "f + 57"], ["f", 14, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"f": 14}, "is_reverse": true}} | 19,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 13; o = r + 7; g = f + 10; i = o + 10; a = e + 14; q = f + 13; s = u + 8; k = a + 14; n = k + 7; f = 14; e = c + 16; u = g + 9; r = s + 13. If f = 14, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 7 to i, which gives i = r + 17.\n2. Substitute r = s + 13 to i, which gives i = s + 30.\n3. Substitute s = u + 8 to i, which gives i = u + 38.\n4. Substitute u = g + 9 to i, which gives i = g + 47.\n5. Substitute g = f + 10 to i, which gives i = f + 57.\n6. Substitute f = 14 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 19401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 13; o = r + 7; g = f + 10; i = o + 10; a = e + 14; q = f + 13; s = u + 8; k = a + 14; n = k + 7; f = 14; e = c + 16; u = g + 9; r = s + 13. If f = 14, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 3", "a": "l + 15", "d": "a + 2", "b": "d + 5", "h": "b + 3", "y": "h + 12", "g": "e + 2", "z": "g + 19", "o": "z + 3", "r": "o + 12", "p": "r + 18", "f": "p + 4", "e": 2}, "premises": {"e": 2}, "target": "y"}, "answer": {"steps": [["h", "b + 3", "b + 15"], ["b", "d + 5", "d + 20"], ["d", "a + 2", "a + 22"], ["a", "l + 15", "l + 37"], ["l", "e + 3", "e + 40"], ["e", 2, "42"]], "target_var_name": "y", "target_value": 42, "value_dict": {"e": 2}, "is_reverse": true}} | 19,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 19; l = e + 3; h = b + 3; f = p + 4; y = h + 12; b = d + 5; a = l + 15; o = z + 3; d = a + 2; r = o + 12; g = e + 2; p = r + 18; e = 2. If e = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 3 to y, which gives y = b + 15.\n2. Substitute b = d + 5 to y, which gives y = d + 20.\n3. Substitute d = a + 2 to y, which gives y = a + 22.\n4. Substitute a = l + 15 to y, which gives y = l + 37.\n5. Substitute l = e + 3 to y, which gives y = e + 40.\n6. Substitute e = 2 to y, which gives y = 42.\n\nThus, the final answer is y = \\boxed{42}.",
"index": 19402,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 19; l = e + 3; h = b + 3; f = p + 4; y = h + 12; b = d + 5; a = l + 15; o = z + 3; d = a + 2; r = o + 12; g = e + 2; p = r + 18; e = 2. If e = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 15", "b": "h + 3", "g": "b + 13", "a": "g + 14", "w": "a + 11", "u": "w + 7", "d": "x + 8", "j": "d + 14", "r": "j + 10", "f": "r + 7", "k": "f + 18", "o": "k + 8", "x": 4}, "premises": {"x": 4}, "target": "u"}, "answer": {"steps": [["w", "a + 11", "a + 18"], ["a", "g + 14", "g + 32"], ["g", "b + 13", "b + 45"], ["b", "h + 3", "h + 48"], ["h", "x + 15", "x + 63"], ["x", 4, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"x": 4}, "is_reverse": true}} | 19,403 | 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 = j + 10; a = g + 14; k = f + 18; g = b + 13; x = 4; u = w + 7; w = a + 11; j = d + 14; h = x + 15; b = h + 3; d = x + 8; f = r + 7; o = k + 8. If x = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 11 to u, which gives u = a + 18.\n2. Substitute a = g + 14 to u, which gives u = g + 32.\n3. Substitute g = b + 13 to u, which gives u = b + 45.\n4. Substitute b = h + 3 to u, which gives u = h + 48.\n5. Substitute h = x + 15 to u, which gives u = x + 63.\n6. Substitute x = 4 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 19403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 10; a = g + 14; k = f + 18; g = b + 13; x = 4; u = w + 7; w = a + 11; j = d + 14; h = x + 15; b = h + 3; d = x + 8; f = r + 7; o = k + 8. If x = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 5", "n": "w + 2", "a": "n + 11", "p": "a + 17", "g": "p + 12", "i": "g + 19", "o": "j + 4", "y": "o + 18", "c": "y + 16", "l": "c + 17", "d": "l + 8", "e": "d + 19", "j": 19}, "premises": {"j": 19}, "target": "i"}, "answer": {"steps": [["g", "p + 12", "p + 31"], ["p", "a + 17", "a + 48"], ["a", "n + 11", "n + 59"], ["n", "w + 2", "w + 61"], ["w", "j + 5", "j + 66"], ["j", 19, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"j": 19}, "is_reverse": true}} | 19,404 | 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 = y + 16; e = d + 19; n = w + 2; l = c + 17; i = g + 19; y = o + 18; w = j + 5; j = 19; p = a + 17; o = j + 4; d = l + 8; a = n + 11; g = p + 12. If j = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 12 to i, which gives i = p + 31.\n2. Substitute p = a + 17 to i, which gives i = a + 48.\n3. Substitute a = n + 11 to i, which gives i = n + 59.\n4. Substitute n = w + 2 to i, which gives i = w + 61.\n5. Substitute w = j + 5 to i, which gives i = j + 66.\n6. Substitute j = 19 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 19404,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 16; e = d + 19; n = w + 2; l = c + 17; i = g + 19; y = o + 18; w = j + 5; j = 19; p = a + 17; o = j + 4; d = l + 8; a = n + 11; g = p + 12. If j = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 4", "p": "a + 2", "z": "p + 8", "o": "z + 4", "h": "o + 8", "w": "h + 8", "j": "m + 17", "d": "j + 15", "s": "d + 18", "t": "s + 1", "e": "t + 19", "n": "e + 17", "m": 12}, "premises": {"m": 12}, "target": "w"}, "answer": {"steps": [["h", "o + 8", "o + 16"], ["o", "z + 4", "z + 20"], ["z", "p + 8", "p + 28"], ["p", "a + 2", "a + 30"], ["a", "m + 4", "m + 34"], ["m", 12, "46"]], "target_var_name": "w", "target_value": 46, "value_dict": {"m": 12}, "is_reverse": true}} | 19,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 8; d = j + 15; w = h + 8; o = z + 4; m = 12; n = e + 17; j = m + 17; s = d + 18; t = s + 1; e = t + 19; a = m + 4; p = a + 2; z = p + 8. If m = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 8 to w, which gives w = o + 16.\n2. Substitute o = z + 4 to w, which gives w = z + 20.\n3. Substitute z = p + 8 to w, which gives w = p + 28.\n4. Substitute p = a + 2 to w, which gives w = a + 30.\n5. Substitute a = m + 4 to w, which gives w = m + 34.\n6. Substitute m = 12 to w, which gives w = 46.\n\nThus, the final answer is w = \\boxed{46}.",
"index": 19405,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 8; d = j + 15; w = h + 8; o = z + 4; m = 12; n = e + 17; j = m + 17; s = d + 18; t = s + 1; e = t + 19; a = m + 4; p = a + 2; z = p + 8. If m = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 5", "u": "x + 7", "w": "u + 2", "a": "w + 17", "y": "a + 8", "t": "y + 2", "k": "i + 20", "z": "k + 18", "d": "z + 2", "g": "d + 16", "p": "g + 10", "r": "p + 12", "i": 11}, "premises": {"i": 11}, "target": "t"}, "answer": {"steps": [["y", "a + 8", "a + 10"], ["a", "w + 17", "w + 27"], ["w", "u + 2", "u + 29"], ["u", "x + 7", "x + 36"], ["x", "i + 5", "i + 41"], ["i", 11, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"i": 11}, "is_reverse": true}} | 19,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 11; w = u + 2; a = w + 17; d = z + 2; t = y + 2; y = a + 8; z = k + 18; g = d + 16; r = p + 12; u = x + 7; x = i + 5; k = i + 20; p = g + 10. Given that i = 11, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 8 to t, which gives t = a + 10.\n2. Substitute a = w + 17 to t, which gives t = w + 27.\n3. Substitute w = u + 2 to t, which gives t = u + 29.\n4. Substitute u = x + 7 to t, which gives t = x + 36.\n5. Substitute x = i + 5 to t, which gives t = i + 41.\n6. Substitute i = 11 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 19406,
"question": "Suppose a collection of variables is related by the following definitions: i = 11; w = u + 2; a = w + 17; d = z + 2; t = y + 2; y = a + 8; z = k + 18; g = d + 16; r = p + 12; u = x + 7; x = i + 5; k = i + 20; p = g + 10. Given that i = 11, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 1", "d": "l + 18", "k": "d + 10", "b": "k + 18", "j": "b + 20", "x": "j + 8", "z": "y + 5", "g": "z + 5", "s": "g + 14", "a": "s + 1", "i": "a + 4", "u": "i + 4", "y": 18}, "premises": {"y": 18}, "target": "x"}, "answer": {"steps": [["j", "b + 20", "b + 28"], ["b", "k + 18", "k + 46"], ["k", "d + 10", "d + 56"], ["d", "l + 18", "l + 74"], ["l", "y + 1", "y + 75"], ["y", 18, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"y": 18}, "is_reverse": true}} | 19,407 | 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 = d + 10; l = y + 1; z = y + 5; x = j + 8; g = z + 5; u = i + 4; i = a + 4; j = b + 20; d = l + 18; s = g + 14; b = k + 18; y = 18; a = s + 1. If y = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 20 to x, which gives x = b + 28.\n2. Substitute b = k + 18 to x, which gives x = k + 46.\n3. Substitute k = d + 10 to x, which gives x = d + 56.\n4. Substitute d = l + 18 to x, which gives x = l + 74.\n5. Substitute l = y + 1 to x, which gives x = y + 75.\n6. Substitute y = 18 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 19407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 10; l = y + 1; z = y + 5; x = j + 8; g = z + 5; u = i + 4; i = a + 4; j = b + 20; d = l + 18; s = g + 14; b = k + 18; y = 18; a = s + 1. If y = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 20", "o": "n + 7", "t": "o + 5", "u": "t + 5", "y": "u + 2", "d": "y + 20", "z": "m + 13", "e": "z + 9", "h": "e + 7", "s": "h + 6", "g": "s + 20", "p": "g + 7", "m": 7}, "premises": {"m": 7}, "target": "d"}, "answer": {"steps": [["y", "u + 2", "u + 22"], ["u", "t + 5", "t + 27"], ["t", "o + 5", "o + 32"], ["o", "n + 7", "n + 39"], ["n", "m + 20", "m + 59"], ["m", 7, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"m": 7}, "is_reverse": true}} | 19,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 9; h = e + 7; t = o + 5; d = y + 20; n = m + 20; z = m + 13; m = 7; y = u + 2; u = t + 5; p = g + 7; g = s + 20; o = n + 7; s = h + 6. If m = 7, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 2 to d, which gives d = u + 22.\n2. Substitute u = t + 5 to d, which gives d = t + 27.\n3. Substitute t = o + 5 to d, which gives d = o + 32.\n4. Substitute o = n + 7 to d, which gives d = n + 39.\n5. Substitute n = m + 20 to d, which gives d = m + 59.\n6. Substitute m = 7 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 19408,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 9; h = e + 7; t = o + 5; d = y + 20; n = m + 20; z = m + 13; m = 7; y = u + 2; u = t + 5; p = g + 7; g = s + 20; o = n + 7; s = h + 6. If m = 7, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 5", "f": "p + 5", "j": "f + 4", "u": "j + 1", "a": "u + 11", "y": "a + 17", "o": "i + 14", "k": "o + 9", "x": "k + 9", "h": "x + 4", "m": "h + 16", "v": "m + 11", "i": 5}, "premises": {"i": 5}, "target": "y"}, "answer": {"steps": [["a", "u + 11", "u + 28"], ["u", "j + 1", "j + 29"], ["j", "f + 4", "f + 33"], ["f", "p + 5", "p + 38"], ["p", "i + 5", "i + 43"], ["i", 5, "48"]], "target_var_name": "y", "target_value": 48, "value_dict": {"i": 5}, "is_reverse": true}} | 19,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 11; o = i + 14; i = 5; u = j + 1; m = h + 16; h = x + 4; k = o + 9; f = p + 5; y = a + 17; p = i + 5; v = m + 11; x = k + 9; j = f + 4. If i = 5, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 11 to y, which gives y = u + 28.\n2. Substitute u = j + 1 to y, which gives y = j + 29.\n3. Substitute j = f + 4 to y, which gives y = f + 33.\n4. Substitute f = p + 5 to y, which gives y = p + 38.\n5. Substitute p = i + 5 to y, which gives y = i + 43.\n6. Substitute i = 5 to y, which gives y = 48.\n\nThus, the final answer is y = \\boxed{48}.",
"index": 19409,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 11; o = i + 14; i = 5; u = j + 1; m = h + 16; h = x + 4; k = o + 9; f = p + 5; y = a + 17; p = i + 5; v = m + 11; x = k + 9; j = f + 4. If i = 5, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 2", "v": "o + 6", "t": "v + 20", "q": "t + 16", "h": "q + 7", "i": "h + 4", "c": "s + 13", "f": "c + 4", "j": "f + 5", "g": "j + 6", "w": "g + 1", "d": "w + 11", "s": 3}, "premises": {"s": 3}, "target": "i"}, "answer": {"steps": [["h", "q + 7", "q + 11"], ["q", "t + 16", "t + 27"], ["t", "v + 20", "v + 47"], ["v", "o + 6", "o + 53"], ["o", "s + 2", "s + 55"], ["s", 3, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"s": 3}, "is_reverse": true}} | 19,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 6; i = h + 4; q = t + 16; w = g + 1; d = w + 11; f = c + 4; s = 3; c = s + 13; o = s + 2; t = v + 20; j = f + 5; v = o + 6; h = q + 7. Given that s = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 7 to i, which gives i = q + 11.\n2. Substitute q = t + 16 to i, which gives i = t + 27.\n3. Substitute t = v + 20 to i, which gives i = v + 47.\n4. Substitute v = o + 6 to i, which gives i = o + 53.\n5. Substitute o = s + 2 to i, which gives i = s + 55.\n6. Substitute s = 3 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 19410,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 6; i = h + 4; q = t + 16; w = g + 1; d = w + 11; f = c + 4; s = 3; c = s + 13; o = s + 2; t = v + 20; j = f + 5; v = o + 6; h = q + 7. Given that s = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 4", "a": "e + 15", "t": "a + 18", "i": "t + 5", "w": "i + 20", "o": "w + 15", "j": "k + 12", "v": "j + 20", "d": "v + 19", "z": "d + 4", "x": "z + 10", "q": "x + 1", "k": 6}, "premises": {"k": 6}, "target": "o"}, "answer": {"steps": [["w", "i + 20", "i + 35"], ["i", "t + 5", "t + 40"], ["t", "a + 18", "a + 58"], ["a", "e + 15", "e + 73"], ["e", "k + 4", "k + 77"], ["k", 6, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"k": 6}, "is_reverse": true}} | 19,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 1; o = w + 15; j = k + 12; i = t + 5; a = e + 15; e = k + 4; x = z + 10; w = i + 20; k = 6; t = a + 18; d = v + 19; v = j + 20; z = d + 4. If k = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 20 to o, which gives o = i + 35.\n2. Substitute i = t + 5 to o, which gives o = t + 40.\n3. Substitute t = a + 18 to o, which gives o = a + 58.\n4. Substitute a = e + 15 to o, which gives o = e + 73.\n5. Substitute e = k + 4 to o, which gives o = k + 77.\n6. Substitute k = 6 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 19411,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 1; o = w + 15; j = k + 12; i = t + 5; a = e + 15; e = k + 4; x = z + 10; w = i + 20; k = 6; t = a + 18; d = v + 19; v = j + 20; z = d + 4. If k = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 9", "l": "j + 20", "p": "l + 16", "u": "p + 20", "t": "u + 16", "s": "t + 1", "f": "k + 20", "o": "f + 13", "h": "o + 10", "b": "h + 20", "w": "b + 10", "y": "w + 7", "k": 17}, "premises": {"k": 17}, "target": "s"}, "answer": {"steps": [["t", "u + 16", "u + 17"], ["u", "p + 20", "p + 37"], ["p", "l + 16", "l + 53"], ["l", "j + 20", "j + 73"], ["j", "k + 9", "k + 82"], ["k", 17, "99"]], "target_var_name": "s", "target_value": 99, "value_dict": {"k": 17}, "is_reverse": true}} | 19,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 16; j = k + 9; l = j + 20; u = p + 20; o = f + 13; y = w + 7; w = b + 10; f = k + 20; h = o + 10; s = t + 1; b = h + 20; t = u + 16; k = 17. If k = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 16 to s, which gives s = u + 17.\n2. Substitute u = p + 20 to s, which gives s = p + 37.\n3. Substitute p = l + 16 to s, which gives s = l + 53.\n4. Substitute l = j + 20 to s, which gives s = j + 73.\n5. Substitute j = k + 9 to s, which gives s = k + 82.\n6. Substitute k = 17 to s, which gives s = 99.\n\nThus, the final answer is s = \\boxed{99}.",
"index": 19412,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 16; j = k + 9; l = j + 20; u = p + 20; o = f + 13; y = w + 7; w = b + 10; f = k + 20; h = o + 10; s = t + 1; b = h + 20; t = u + 16; k = 17. If k = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 1", "r": "d + 7", "u": "r + 12", "o": "u + 17", "i": "o + 7", "t": "i + 14", "a": "z + 15", "b": "a + 1", "g": "b + 8", "q": "g + 12", "l": "q + 17", "e": "l + 1", "z": 2}, "premises": {"z": 2}, "target": "t"}, "answer": {"steps": [["i", "o + 7", "o + 21"], ["o", "u + 17", "u + 38"], ["u", "r + 12", "r + 50"], ["r", "d + 7", "d + 57"], ["d", "z + 1", "z + 58"], ["z", 2, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"z": 2}, "is_reverse": true}} | 19,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 7; d = z + 1; b = a + 1; r = d + 7; e = l + 1; g = b + 8; q = g + 12; o = u + 17; u = r + 12; l = q + 17; t = i + 14; a = z + 15; z = 2. If z = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 7 to t, which gives t = o + 21.\n2. Substitute o = u + 17 to t, which gives t = u + 38.\n3. Substitute u = r + 12 to t, which gives t = r + 50.\n4. Substitute r = d + 7 to t, which gives t = d + 57.\n5. Substitute d = z + 1 to t, which gives t = z + 58.\n6. Substitute z = 2 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 19413,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 7; d = z + 1; b = a + 1; r = d + 7; e = l + 1; g = b + 8; q = g + 12; o = u + 17; u = r + 12; l = q + 17; t = i + 14; a = z + 15; z = 2. If z = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 7", "g": "t + 5", "c": "g + 8", "x": "c + 5", "l": "x + 19", "q": "l + 11", "k": "u + 4", "d": "k + 15", "r": "d + 6", "f": "r + 17", "n": "f + 16", "y": "n + 4", "u": 3}, "premises": {"u": 3}, "target": "q"}, "answer": {"steps": [["l", "x + 19", "x + 30"], ["x", "c + 5", "c + 35"], ["c", "g + 8", "g + 43"], ["g", "t + 5", "t + 48"], ["t", "u + 7", "u + 55"], ["u", 3, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"u": 3}, "is_reverse": true}} | 19,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 5; r = d + 6; t = u + 7; c = g + 8; f = r + 17; x = c + 5; u = 3; y = n + 4; l = x + 19; k = u + 4; d = k + 15; q = l + 11; n = f + 16. If u = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 19 to q, which gives q = x + 30.\n2. Substitute x = c + 5 to q, which gives q = c + 35.\n3. Substitute c = g + 8 to q, which gives q = g + 43.\n4. Substitute g = t + 5 to q, which gives q = t + 48.\n5. Substitute t = u + 7 to q, which gives q = u + 55.\n6. Substitute u = 3 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 19414,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 5; r = d + 6; t = u + 7; c = g + 8; f = r + 17; x = c + 5; u = 3; y = n + 4; l = x + 19; k = u + 4; d = k + 15; q = l + 11; n = f + 16. If u = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 15", "p": "j + 8", "k": "p + 6", "a": "k + 19", "u": "a + 9", "v": "u + 14", "c": "o + 6", "y": "c + 4", "g": "y + 5", "t": "g + 6", "n": "t + 10", "z": "n + 17", "o": 8}, "premises": {"o": 8}, "target": "v"}, "answer": {"steps": [["u", "a + 9", "a + 23"], ["a", "k + 19", "k + 42"], ["k", "p + 6", "p + 48"], ["p", "j + 8", "j + 56"], ["j", "o + 15", "o + 71"], ["o", 8, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"o": 8}, "is_reverse": true}} | 19,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 6; g = y + 5; n = t + 10; p = j + 8; j = o + 15; v = u + 14; a = k + 19; u = a + 9; o = 8; y = c + 4; c = o + 6; z = n + 17; t = g + 6. Given that o = 8, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 9 to v, which gives v = a + 23.\n2. Substitute a = k + 19 to v, which gives v = k + 42.\n3. Substitute k = p + 6 to v, which gives v = p + 48.\n4. Substitute p = j + 8 to v, which gives v = j + 56.\n5. Substitute j = o + 15 to v, which gives v = o + 71.\n6. Substitute o = 8 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 19415,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 6; g = y + 5; n = t + 10; p = j + 8; j = o + 15; v = u + 14; a = k + 19; u = a + 9; o = 8; y = c + 4; c = o + 6; z = n + 17; t = g + 6. Given that o = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 7", "o": "p + 2", "a": "o + 13", "s": "a + 8", "f": "s + 13", "i": "f + 3", "q": "j + 1", "v": "q + 5", "k": "v + 10", "w": "k + 11", "r": "w + 12", "x": "r + 3", "j": 10}, "premises": {"j": 10}, "target": "i"}, "answer": {"steps": [["f", "s + 13", "s + 16"], ["s", "a + 8", "a + 24"], ["a", "o + 13", "o + 37"], ["o", "p + 2", "p + 39"], ["p", "j + 7", "j + 46"], ["j", 10, "56"]], "target_var_name": "i", "target_value": 56, "value_dict": {"j": 10}, "is_reverse": true}} | 19,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 10; o = p + 2; a = o + 13; i = f + 3; r = w + 12; x = r + 3; f = s + 13; v = q + 5; j = 10; p = j + 7; w = k + 11; q = j + 1; s = a + 8. If j = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 13 to i, which gives i = s + 16.\n2. Substitute s = a + 8 to i, which gives i = a + 24.\n3. Substitute a = o + 13 to i, which gives i = o + 37.\n4. Substitute o = p + 2 to i, which gives i = p + 39.\n5. Substitute p = j + 7 to i, which gives i = j + 46.\n6. Substitute j = 10 to i, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 19416,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 10; o = p + 2; a = o + 13; i = f + 3; r = w + 12; x = r + 3; f = s + 13; v = q + 5; j = 10; p = j + 7; w = k + 11; q = j + 1; s = a + 8. If j = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 10", "l": "w + 13", "h": "l + 6", "q": "h + 20", "o": "q + 8", "u": "o + 8", "f": "k + 7", "v": "f + 1", "g": "v + 6", "r": "g + 17", "p": "r + 13", "y": "p + 6", "k": 6}, "premises": {"k": 6}, "target": "u"}, "answer": {"steps": [["o", "q + 8", "q + 16"], ["q", "h + 20", "h + 36"], ["h", "l + 6", "l + 42"], ["l", "w + 13", "w + 55"], ["w", "k + 10", "k + 65"], ["k", 6, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"k": 6}, "is_reverse": true}} | 19,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 13; y = p + 6; r = g + 17; q = h + 20; u = o + 8; g = v + 6; p = r + 13; f = k + 7; o = q + 8; k = 6; w = k + 10; v = f + 1; h = l + 6. If k = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 8 to u, which gives u = q + 16.\n2. Substitute q = h + 20 to u, which gives u = h + 36.\n3. Substitute h = l + 6 to u, which gives u = l + 42.\n4. Substitute l = w + 13 to u, which gives u = w + 55.\n5. Substitute w = k + 10 to u, which gives u = k + 65.\n6. Substitute k = 6 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 19417,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 13; y = p + 6; r = g + 17; q = h + 20; u = o + 8; g = v + 6; p = r + 13; f = k + 7; o = q + 8; k = 6; w = k + 10; v = f + 1; h = l + 6. If k = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 17", "e": "k + 19", "o": "e + 2", "z": "o + 1", "l": "z + 6", "t": "l + 15", "w": "r + 18", "d": "w + 2", "b": "d + 6", "q": "b + 16", "c": "q + 5", "n": "c + 1", "r": 10}, "premises": {"r": 10}, "target": "t"}, "answer": {"steps": [["l", "z + 6", "z + 21"], ["z", "o + 1", "o + 22"], ["o", "e + 2", "e + 24"], ["e", "k + 19", "k + 43"], ["k", "r + 17", "r + 60"], ["r", 10, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"r": 10}, "is_reverse": true}} | 19,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = r + 18; d = w + 2; q = b + 16; b = d + 6; r = 10; t = l + 15; c = q + 5; k = r + 17; n = c + 1; e = k + 19; o = e + 2; l = z + 6; z = o + 1. Given that r = 10, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 6 to t, which gives t = z + 21.\n2. Substitute z = o + 1 to t, which gives t = o + 22.\n3. Substitute o = e + 2 to t, which gives t = e + 24.\n4. Substitute e = k + 19 to t, which gives t = k + 43.\n5. Substitute k = r + 17 to t, which gives t = r + 60.\n6. Substitute r = 10 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 19418,
"question": "Suppose a collection of variables is related by the following definitions: w = r + 18; d = w + 2; q = b + 16; b = d + 6; r = 10; t = l + 15; c = q + 5; k = r + 17; n = c + 1; e = k + 19; o = e + 2; l = z + 6; z = o + 1. Given that r = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 18", "o": "a + 20", "b": "o + 11", "q": "b + 9", "e": "q + 1", "d": "e + 11", "m": "k + 3", "i": "m + 11", "y": "i + 6", "r": "y + 6", "z": "r + 17", "j": "z + 8", "k": 2}, "premises": {"k": 2}, "target": "d"}, "answer": {"steps": [["e", "q + 1", "q + 12"], ["q", "b + 9", "b + 21"], ["b", "o + 11", "o + 32"], ["o", "a + 20", "a + 52"], ["a", "k + 18", "k + 70"], ["k", 2, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"k": 2}, "is_reverse": true}} | 19,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 9; o = a + 20; r = y + 6; b = o + 11; d = e + 11; j = z + 8; a = k + 18; z = r + 17; e = q + 1; k = 2; i = m + 11; y = i + 6; m = k + 3. If k = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 1 to d, which gives d = q + 12.\n2. Substitute q = b + 9 to d, which gives d = b + 21.\n3. Substitute b = o + 11 to d, which gives d = o + 32.\n4. Substitute o = a + 20 to d, which gives d = a + 52.\n5. Substitute a = k + 18 to d, which gives d = k + 70.\n6. Substitute k = 2 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 19419,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 9; o = a + 20; r = y + 6; b = o + 11; d = e + 11; j = z + 8; a = k + 18; z = r + 17; e = q + 1; k = 2; i = m + 11; y = i + 6; m = k + 3. If k = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 12", "q": "s + 3", "v": "q + 4", "c": "v + 4", "o": "c + 17", "l": "o + 2", "m": "g + 16", "x": "m + 19", "i": "x + 14", "b": "i + 4", "d": "b + 20", "u": "d + 10", "g": 6}, "premises": {"g": 6}, "target": "l"}, "answer": {"steps": [["o", "c + 17", "c + 19"], ["c", "v + 4", "v + 23"], ["v", "q + 4", "q + 27"], ["q", "s + 3", "s + 30"], ["s", "g + 12", "g + 42"], ["g", 6, "48"]], "target_var_name": "l", "target_value": 48, "value_dict": {"g": 6}, "is_reverse": true}} | 19,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 12; o = c + 17; v = q + 4; b = i + 4; d = b + 20; m = g + 16; c = v + 4; g = 6; x = m + 19; q = s + 3; u = d + 10; l = o + 2; i = x + 14. If g = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 17 to l, which gives l = c + 19.\n2. Substitute c = v + 4 to l, which gives l = v + 23.\n3. Substitute v = q + 4 to l, which gives l = q + 27.\n4. Substitute q = s + 3 to l, which gives l = s + 30.\n5. Substitute s = g + 12 to l, which gives l = g + 42.\n6. Substitute g = 6 to l, which gives l = 48.\n\nThus, the final answer is l = \\boxed{48}.",
"index": 19420,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 12; o = c + 17; v = q + 4; b = i + 4; d = b + 20; m = g + 16; c = v + 4; g = 6; x = m + 19; q = s + 3; u = d + 10; l = o + 2; i = x + 14. If g = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 1", "q": "y + 13", "a": "q + 3", "e": "a + 3", "p": "e + 20", "s": "p + 14", "c": "x + 8", "n": "c + 16", "g": "n + 9", "i": "g + 14", "d": "i + 20", "m": "d + 16", "x": 1}, "premises": {"x": 1}, "target": "s"}, "answer": {"steps": [["p", "e + 20", "e + 34"], ["e", "a + 3", "a + 37"], ["a", "q + 3", "q + 40"], ["q", "y + 13", "y + 53"], ["y", "x + 1", "x + 54"], ["x", 1, "55"]], "target_var_name": "s", "target_value": 55, "value_dict": {"x": 1}, "is_reverse": true}} | 19,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = n + 9; a = q + 3; m = d + 16; e = a + 3; p = e + 20; d = i + 20; y = x + 1; c = x + 8; q = y + 13; n = c + 16; i = g + 14; s = p + 14; x = 1. Given that x = 1, find the value of s.",
"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 + 20 to s, which gives s = e + 34.\n2. Substitute e = a + 3 to s, which gives s = a + 37.\n3. Substitute a = q + 3 to s, which gives s = q + 40.\n4. Substitute q = y + 13 to s, which gives s = y + 53.\n5. Substitute y = x + 1 to s, which gives s = x + 54.\n6. Substitute x = 1 to s, which gives s = 55.\n\nThus, the final answer is s = \\boxed{55}.",
"index": 19421,
"question": "Suppose a collection of variables is related by the following definitions: g = n + 9; a = q + 3; m = d + 16; e = a + 3; p = e + 20; d = i + 20; y = x + 1; c = x + 8; q = y + 13; n = c + 16; i = g + 14; s = p + 14; x = 1. Given that x = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 3", "b": "r + 14", "n": "b + 12", "w": "n + 10", "m": "w + 5", "q": "m + 10", "p": "a + 4", "k": "p + 9", "c": "k + 19", "o": "c + 9", "u": "o + 2", "x": "u + 1", "a": 10}, "premises": {"a": 10}, "target": "q"}, "answer": {"steps": [["m", "w + 5", "w + 15"], ["w", "n + 10", "n + 25"], ["n", "b + 12", "b + 37"], ["b", "r + 14", "r + 51"], ["r", "a + 3", "a + 54"], ["a", 10, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"a": 10}, "is_reverse": true}} | 19,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 14; u = o + 2; p = a + 4; q = m + 10; c = k + 19; a = 10; w = n + 10; x = u + 1; m = w + 5; r = a + 3; o = c + 9; k = p + 9; n = b + 12. Given that a = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 5 to q, which gives q = w + 15.\n2. Substitute w = n + 10 to q, which gives q = n + 25.\n3. Substitute n = b + 12 to q, which gives q = b + 37.\n4. Substitute b = r + 14 to q, which gives q = r + 51.\n5. Substitute r = a + 3 to q, which gives q = a + 54.\n6. Substitute a = 10 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 19422,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 14; u = o + 2; p = a + 4; q = m + 10; c = k + 19; a = 10; w = n + 10; x = u + 1; m = w + 5; r = a + 3; o = c + 9; k = p + 9; n = b + 12. Given that a = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 16", "y": "g + 11", "l": "y + 16", "k": "l + 15", "q": "k + 14", "b": "q + 10", "e": "v + 8", "u": "e + 1", "o": "u + 10", "x": "o + 3", "h": "x + 17", "f": "h + 6", "v": 15}, "premises": {"v": 15}, "target": "b"}, "answer": {"steps": [["q", "k + 14", "k + 24"], ["k", "l + 15", "l + 39"], ["l", "y + 16", "y + 55"], ["y", "g + 11", "g + 66"], ["g", "v + 16", "v + 82"], ["v", 15, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"v": 15}, "is_reverse": true}} | 19,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 17; k = l + 15; l = y + 16; o = u + 10; q = k + 14; g = v + 16; e = v + 8; b = q + 10; v = 15; u = e + 1; x = o + 3; y = g + 11; f = h + 6. Given that v = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 14 to b, which gives b = k + 24.\n2. Substitute k = l + 15 to b, which gives b = l + 39.\n3. Substitute l = y + 16 to b, which gives b = y + 55.\n4. Substitute y = g + 11 to b, which gives b = g + 66.\n5. Substitute g = v + 16 to b, which gives b = v + 82.\n6. Substitute v = 15 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 19423,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 17; k = l + 15; l = y + 16; o = u + 10; q = k + 14; g = v + 16; e = v + 8; b = q + 10; v = 15; u = e + 1; x = o + 3; y = g + 11; f = h + 6. Given that v = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 15", "g": "q + 4", "f": "g + 3", "o": "f + 14", "m": "o + 2", "b": "m + 10", "w": "a + 7", "t": "w + 8", "e": "t + 1", "p": "e + 17", "c": "p + 15", "d": "c + 6", "a": 1}, "premises": {"a": 1}, "target": "b"}, "answer": {"steps": [["m", "o + 2", "o + 12"], ["o", "f + 14", "f + 26"], ["f", "g + 3", "g + 29"], ["g", "q + 4", "q + 33"], ["q", "a + 15", "a + 48"], ["a", 1, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"a": 1}, "is_reverse": true}} | 19,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 8; b = m + 10; w = a + 7; o = f + 14; a = 1; e = t + 1; g = q + 4; q = a + 15; p = e + 17; d = c + 6; m = o + 2; c = p + 15; f = g + 3. Given that a = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 2 to b, which gives b = o + 12.\n2. Substitute o = f + 14 to b, which gives b = f + 26.\n3. Substitute f = g + 3 to b, which gives b = g + 29.\n4. Substitute g = q + 4 to b, which gives b = q + 33.\n5. Substitute q = a + 15 to b, which gives b = a + 48.\n6. Substitute a = 1 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 19424,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 8; b = m + 10; w = a + 7; o = f + 14; a = 1; e = t + 1; g = q + 4; q = a + 15; p = e + 17; d = c + 6; m = o + 2; c = p + 15; f = g + 3. Given that a = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 2", "v": "p + 18", "u": "v + 17", "e": "u + 8", "n": "e + 5", "l": "n + 14", "g": "d + 11", "w": "g + 16", "r": "w + 18", "o": "r + 1", "f": "o + 20", "q": "f + 11", "d": 17}, "premises": {"d": 17}, "target": "l"}, "answer": {"steps": [["n", "e + 5", "e + 19"], ["e", "u + 8", "u + 27"], ["u", "v + 17", "v + 44"], ["v", "p + 18", "p + 62"], ["p", "d + 2", "d + 64"], ["d", 17, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"d": 17}, "is_reverse": true}} | 19,425 | 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 = o + 20; p = d + 2; e = u + 8; r = w + 18; g = d + 11; v = p + 18; n = e + 5; w = g + 16; q = f + 11; o = r + 1; d = 17; u = v + 17; l = n + 14. If d = 17, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 5 to l, which gives l = e + 19.\n2. Substitute e = u + 8 to l, which gives l = u + 27.\n3. Substitute u = v + 17 to l, which gives l = v + 44.\n4. Substitute v = p + 18 to l, which gives l = p + 62.\n5. Substitute p = d + 2 to l, which gives l = d + 64.\n6. Substitute d = 17 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 19425,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 20; p = d + 2; e = u + 8; r = w + 18; g = d + 11; v = p + 18; n = e + 5; w = g + 16; q = f + 11; o = r + 1; d = 17; u = v + 17; l = n + 14. If d = 17, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 16", "e": "r + 6", "q": "e + 15", "z": "q + 20", "k": "z + 6", "u": "k + 14", "j": "c + 19", "t": "j + 2", "l": "t + 3", "y": "l + 4", "o": "y + 3", "i": "o + 11", "c": 4}, "premises": {"c": 4}, "target": "u"}, "answer": {"steps": [["k", "z + 6", "z + 20"], ["z", "q + 20", "q + 40"], ["q", "e + 15", "e + 55"], ["e", "r + 6", "r + 61"], ["r", "c + 16", "c + 77"], ["c", 4, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"c": 4}, "is_reverse": true}} | 19,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 11; o = y + 3; j = c + 19; c = 4; q = e + 15; l = t + 3; k = z + 6; e = r + 6; z = q + 20; u = k + 14; y = l + 4; t = j + 2; r = c + 16. If c = 4, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 6 to u, which gives u = z + 20.\n2. Substitute z = q + 20 to u, which gives u = q + 40.\n3. Substitute q = e + 15 to u, which gives u = e + 55.\n4. Substitute e = r + 6 to u, which gives u = r + 61.\n5. Substitute r = c + 16 to u, which gives u = c + 77.\n6. Substitute c = 4 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 19426,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 11; o = y + 3; j = c + 19; c = 4; q = e + 15; l = t + 3; k = z + 6; e = r + 6; z = q + 20; u = k + 14; y = l + 4; t = j + 2; r = c + 16. If c = 4, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 6", "a": "e + 17", "l": "a + 9", "w": "l + 8", "i": "w + 5", "t": "i + 12", "s": "d + 19", "m": "s + 18", "q": "m + 8", "b": "q + 18", "o": "b + 7", "x": "o + 9", "d": 5}, "premises": {"d": 5}, "target": "t"}, "answer": {"steps": [["i", "w + 5", "w + 17"], ["w", "l + 8", "l + 25"], ["l", "a + 9", "a + 34"], ["a", "e + 17", "e + 51"], ["e", "d + 6", "d + 57"], ["d", 5, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"d": 5}, "is_reverse": true}} | 19,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 9; x = o + 9; b = q + 18; t = i + 12; q = m + 8; o = b + 7; d = 5; e = d + 6; i = w + 5; s = d + 19; a = e + 17; w = l + 8; m = s + 18. Given that d = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 5 to t, which gives t = w + 17.\n2. Substitute w = l + 8 to t, which gives t = l + 25.\n3. Substitute l = a + 9 to t, which gives t = a + 34.\n4. Substitute a = e + 17 to t, which gives t = e + 51.\n5. Substitute e = d + 6 to t, which gives t = d + 57.\n6. Substitute d = 5 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 19427,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 9; x = o + 9; b = q + 18; t = i + 12; q = m + 8; o = b + 7; d = 5; e = d + 6; i = w + 5; s = d + 19; a = e + 17; w = l + 8; m = s + 18. Given that d = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 14", "r": "k + 19", "h": "r + 4", "d": "h + 14", "w": "d + 20", "i": "w + 19", "o": "y + 2", "p": "o + 5", "z": "p + 16", "b": "z + 11", "u": "b + 6", "q": "u + 19", "y": 1}, "premises": {"y": 1}, "target": "i"}, "answer": {"steps": [["w", "d + 20", "d + 39"], ["d", "h + 14", "h + 53"], ["h", "r + 4", "r + 57"], ["r", "k + 19", "k + 76"], ["k", "y + 14", "y + 90"], ["y", 1, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"y": 1}, "is_reverse": true}} | 19,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 14; d = h + 14; q = u + 19; r = k + 19; o = y + 2; h = r + 4; u = b + 6; b = z + 11; i = w + 19; z = p + 16; y = 1; p = o + 5; w = d + 20. Given that y = 1, 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 w = d + 20 to i, which gives i = d + 39.\n2. Substitute d = h + 14 to i, which gives i = h + 53.\n3. Substitute h = r + 4 to i, which gives i = r + 57.\n4. Substitute r = k + 19 to i, which gives i = k + 76.\n5. Substitute k = y + 14 to i, which gives i = y + 90.\n6. Substitute y = 1 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 19428,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 14; d = h + 14; q = u + 19; r = k + 19; o = y + 2; h = r + 4; u = b + 6; b = z + 11; i = w + 19; z = p + 16; y = 1; p = o + 5; w = d + 20. Given that y = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 5", "w": "k + 11", "x": "w + 3", "p": "x + 15", "t": "p + 12", "b": "t + 16", "e": "j + 15", "y": "e + 7", "a": "y + 14", "q": "a + 10", "g": "q + 15", "o": "g + 4", "j": 20}, "premises": {"j": 20}, "target": "b"}, "answer": {"steps": [["t", "p + 12", "p + 28"], ["p", "x + 15", "x + 43"], ["x", "w + 3", "w + 46"], ["w", "k + 11", "k + 57"], ["k", "j + 5", "j + 62"], ["j", 20, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"j": 20}, "is_reverse": true}} | 19,429 | 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; q = a + 10; w = k + 11; k = j + 5; o = g + 4; x = w + 3; g = q + 15; y = e + 7; a = y + 14; b = t + 16; j = 20; p = x + 15; e = j + 15. If j = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 12 to b, which gives b = p + 28.\n2. Substitute p = x + 15 to b, which gives b = x + 43.\n3. Substitute x = w + 3 to b, which gives b = w + 46.\n4. Substitute w = k + 11 to b, which gives b = k + 57.\n5. Substitute k = j + 5 to b, which gives b = j + 62.\n6. Substitute j = 20 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 19429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = p + 12; q = a + 10; w = k + 11; k = j + 5; o = g + 4; x = w + 3; g = q + 15; y = e + 7; a = y + 14; b = t + 16; j = 20; p = x + 15; e = j + 15. If j = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 14", "x": "j + 6", "z": "x + 6", "s": "z + 14", "c": "s + 14", "o": "c + 17", "v": "a + 5", "k": "v + 13", "e": "k + 12", "n": "e + 7", "q": "n + 18", "b": "q + 5", "a": 7}, "premises": {"a": 7}, "target": "o"}, "answer": {"steps": [["c", "s + 14", "s + 31"], ["s", "z + 14", "z + 45"], ["z", "x + 6", "x + 51"], ["x", "j + 6", "j + 57"], ["j", "a + 14", "a + 71"], ["a", 7, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"a": 7}, "is_reverse": true}} | 19,430 | 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 = s + 14; x = j + 6; q = n + 18; b = q + 5; n = e + 7; e = k + 12; z = x + 6; v = a + 5; s = z + 14; k = v + 13; a = 7; o = c + 17; j = a + 14. If a = 7, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 14 to o, which gives o = s + 31.\n2. Substitute s = z + 14 to o, which gives o = z + 45.\n3. Substitute z = x + 6 to o, which gives o = x + 51.\n4. Substitute x = j + 6 to o, which gives o = j + 57.\n5. Substitute j = a + 14 to o, which gives o = a + 71.\n6. Substitute a = 7 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 19430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 14; x = j + 6; q = n + 18; b = q + 5; n = e + 7; e = k + 12; z = x + 6; v = a + 5; s = z + 14; k = v + 13; a = 7; o = c + 17; j = a + 14. If a = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 1", "d": "s + 20", "u": "d + 11", "i": "u + 19", "y": "i + 11", "j": "y + 4", "v": "b + 16", "r": "v + 11", "x": "r + 3", "f": "x + 10", "o": "f + 14", "a": "o + 18", "b": 2}, "premises": {"b": 2}, "target": "j"}, "answer": {"steps": [["y", "i + 11", "i + 15"], ["i", "u + 19", "u + 34"], ["u", "d + 11", "d + 45"], ["d", "s + 20", "s + 65"], ["s", "b + 1", "b + 66"], ["b", 2, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"b": 2}, "is_reverse": true}} | 19,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 19; s = b + 1; o = f + 14; y = i + 11; u = d + 11; x = r + 3; j = y + 4; f = x + 10; a = o + 18; v = b + 16; d = s + 20; r = v + 11; b = 2. If b = 2, determine 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 y = i + 11 to j, which gives j = i + 15.\n2. Substitute i = u + 19 to j, which gives j = u + 34.\n3. Substitute u = d + 11 to j, which gives j = d + 45.\n4. Substitute d = s + 20 to j, which gives j = s + 65.\n5. Substitute s = b + 1 to j, which gives j = b + 66.\n6. Substitute b = 2 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 19431,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 19; s = b + 1; o = f + 14; y = i + 11; u = d + 11; x = r + 3; j = y + 4; f = x + 10; a = o + 18; v = b + 16; d = s + 20; r = v + 11; b = 2. If b = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 14", "h": "i + 19", "o": "h + 19", "f": "o + 2", "v": "f + 15", "z": "v + 6", "g": "y + 9", "a": "g + 1", "w": "a + 3", "n": "w + 15", "d": "n + 8", "s": "d + 9", "y": 17}, "premises": {"y": 17}, "target": "z"}, "answer": {"steps": [["v", "f + 15", "f + 21"], ["f", "o + 2", "o + 23"], ["o", "h + 19", "h + 42"], ["h", "i + 19", "i + 61"], ["i", "y + 14", "y + 75"], ["y", 17, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"y": 17}, "is_reverse": true}} | 19,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 8; f = o + 2; y = 17; z = v + 6; h = i + 19; g = y + 9; w = a + 3; a = g + 1; v = f + 15; s = d + 9; o = h + 19; i = y + 14; n = w + 15. If y = 17, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 15 to z, which gives z = f + 21.\n2. Substitute f = o + 2 to z, which gives z = o + 23.\n3. Substitute o = h + 19 to z, which gives z = h + 42.\n4. Substitute h = i + 19 to z, which gives z = i + 61.\n5. Substitute i = y + 14 to z, which gives z = y + 75.\n6. Substitute y = 17 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 19432,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 8; f = o + 2; y = 17; z = v + 6; h = i + 19; g = y + 9; w = a + 3; a = g + 1; v = f + 15; s = d + 9; o = h + 19; i = y + 14; n = w + 15. If y = 17, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 15", "x": "e + 11", "y": "x + 6", "u": "y + 7", "j": "u + 14", "n": "j + 10", "w": "k + 7", "p": "w + 13", "q": "p + 16", "h": "q + 1", "g": "h + 20", "i": "g + 8", "k": 8}, "premises": {"k": 8}, "target": "n"}, "answer": {"steps": [["j", "u + 14", "u + 24"], ["u", "y + 7", "y + 31"], ["y", "x + 6", "x + 37"], ["x", "e + 11", "e + 48"], ["e", "k + 15", "k + 63"], ["k", 8, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"k": 8}, "is_reverse": true}} | 19,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 15; h = q + 1; i = g + 8; x = e + 11; w = k + 7; y = x + 6; p = w + 13; g = h + 20; u = y + 7; j = u + 14; q = p + 16; n = j + 10; k = 8. If k = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 14 to n, which gives n = u + 24.\n2. Substitute u = y + 7 to n, which gives n = y + 31.\n3. Substitute y = x + 6 to n, which gives n = x + 37.\n4. Substitute x = e + 11 to n, which gives n = e + 48.\n5. Substitute e = k + 15 to n, which gives n = k + 63.\n6. Substitute k = 8 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 19433,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 15; h = q + 1; i = g + 8; x = e + 11; w = k + 7; y = x + 6; p = w + 13; g = h + 20; u = y + 7; j = u + 14; q = p + 16; n = j + 10; k = 8. If k = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 13", "c": "e + 9", "p": "c + 4", "y": "p + 9", "u": "y + 13", "x": "u + 4", "s": "q + 16", "v": "s + 17", "r": "v + 12", "j": "r + 20", "m": "j + 8", "z": "m + 17", "q": 7}, "premises": {"q": 7}, "target": "x"}, "answer": {"steps": [["u", "y + 13", "y + 17"], ["y", "p + 9", "p + 26"], ["p", "c + 4", "c + 30"], ["c", "e + 9", "e + 39"], ["e", "q + 13", "q + 52"], ["q", 7, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"q": 7}, "is_reverse": true}} | 19,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 4; e = q + 13; s = q + 16; q = 7; p = c + 4; y = p + 9; j = r + 20; v = s + 17; z = m + 17; u = y + 13; c = e + 9; m = j + 8; r = v + 12. Given that q = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 13 to x, which gives x = y + 17.\n2. Substitute y = p + 9 to x, which gives x = p + 26.\n3. Substitute p = c + 4 to x, which gives x = c + 30.\n4. Substitute c = e + 9 to x, which gives x = e + 39.\n5. Substitute e = q + 13 to x, which gives x = q + 52.\n6. Substitute q = 7 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 19434,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 4; e = q + 13; s = q + 16; q = 7; p = c + 4; y = p + 9; j = r + 20; v = s + 17; z = m + 17; u = y + 13; c = e + 9; m = j + 8; r = v + 12. Given that q = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 11", "a": "r + 15", "g": "a + 14", "i": "g + 7", "w": "i + 16", "d": "w + 11", "l": "f + 16", "t": "l + 20", "k": "t + 3", "v": "k + 3", "h": "v + 20", "z": "h + 7", "f": 2}, "premises": {"f": 2}, "target": "d"}, "answer": {"steps": [["w", "i + 16", "i + 27"], ["i", "g + 7", "g + 34"], ["g", "a + 14", "a + 48"], ["a", "r + 15", "r + 63"], ["r", "f + 11", "f + 74"], ["f", 2, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"f": 2}, "is_reverse": true}} | 19,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 20; v = k + 3; l = f + 16; r = f + 11; z = h + 7; t = l + 20; i = g + 7; w = i + 16; d = w + 11; k = t + 3; a = r + 15; g = a + 14; f = 2. If f = 2, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 16 to d, which gives d = i + 27.\n2. Substitute i = g + 7 to d, which gives d = g + 34.\n3. Substitute g = a + 14 to d, which gives d = a + 48.\n4. Substitute a = r + 15 to d, which gives d = r + 63.\n5. Substitute r = f + 11 to d, which gives d = f + 74.\n6. Substitute f = 2 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 19435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 20; v = k + 3; l = f + 16; r = f + 11; z = h + 7; t = l + 20; i = g + 7; w = i + 16; d = w + 11; k = t + 3; a = r + 15; g = a + 14; f = 2. If f = 2, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 11", "x": "p + 7", "f": "x + 1", "d": "f + 14", "b": "d + 1", "h": "b + 14", "z": "k + 5", "e": "z + 2", "w": "e + 11", "j": "w + 5", "l": "j + 1", "v": "l + 16", "k": 20}, "premises": {"k": 20}, "target": "h"}, "answer": {"steps": [["b", "d + 1", "d + 15"], ["d", "f + 14", "f + 29"], ["f", "x + 1", "x + 30"], ["x", "p + 7", "p + 37"], ["p", "k + 11", "k + 48"], ["k", 20, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"k": 20}, "is_reverse": true}} | 19,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 14; e = z + 2; b = d + 1; v = l + 16; w = e + 11; z = k + 5; j = w + 5; k = 20; h = b + 14; l = j + 1; f = x + 1; x = p + 7; p = k + 11. Given that k = 20, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 1 to h, which gives h = d + 15.\n2. Substitute d = f + 14 to h, which gives h = f + 29.\n3. Substitute f = x + 1 to h, which gives h = x + 30.\n4. Substitute x = p + 7 to h, which gives h = p + 37.\n5. Substitute p = k + 11 to h, which gives h = k + 48.\n6. Substitute k = 20 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 19436,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 14; e = z + 2; b = d + 1; v = l + 16; w = e + 11; z = k + 5; j = w + 5; k = 20; h = b + 14; l = j + 1; f = x + 1; x = p + 7; p = k + 11. Given that k = 20, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 11", "w": "g + 10", "x": "w + 18", "t": "x + 17", "p": "t + 17", "q": "p + 3", "y": "n + 14", "k": "y + 8", "u": "k + 6", "j": "u + 5", "o": "j + 17", "m": "o + 12", "n": 8}, "premises": {"n": 8}, "target": "q"}, "answer": {"steps": [["p", "t + 17", "t + 20"], ["t", "x + 17", "x + 37"], ["x", "w + 18", "w + 55"], ["w", "g + 10", "g + 65"], ["g", "n + 11", "n + 76"], ["n", 8, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"n": 8}, "is_reverse": true}} | 19,437 | 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 = t + 17; j = u + 5; k = y + 8; t = x + 17; u = k + 6; m = o + 12; w = g + 10; q = p + 3; x = w + 18; o = j + 17; g = n + 11; y = n + 14; n = 8. If n = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 17 to q, which gives q = t + 20.\n2. Substitute t = x + 17 to q, which gives q = x + 37.\n3. Substitute x = w + 18 to q, which gives q = w + 55.\n4. Substitute w = g + 10 to q, which gives q = g + 65.\n5. Substitute g = n + 11 to q, which gives q = n + 76.\n6. Substitute n = 8 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 19437,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 17; j = u + 5; k = y + 8; t = x + 17; u = k + 6; m = o + 12; w = g + 10; q = p + 3; x = w + 18; o = j + 17; g = n + 11; y = n + 14; n = 8. If n = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 14", "d": "y + 13", "g": "d + 20", "u": "g + 16", "s": "u + 5", "h": "s + 15", "n": "i + 19", "o": "n + 20", "r": "o + 17", "f": "r + 14", "b": "f + 9", "c": "b + 16", "i": 6}, "premises": {"i": 6}, "target": "h"}, "answer": {"steps": [["s", "u + 5", "u + 20"], ["u", "g + 16", "g + 36"], ["g", "d + 20", "d + 56"], ["d", "y + 13", "y + 69"], ["y", "i + 14", "i + 83"], ["i", 6, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"i": 6}, "is_reverse": true}} | 19,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 19; h = s + 15; b = f + 9; f = r + 14; g = d + 20; c = b + 16; s = u + 5; r = o + 17; d = y + 13; y = i + 14; o = n + 20; u = g + 16; i = 6. Given that i = 6, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 5 to h, which gives h = u + 20.\n2. Substitute u = g + 16 to h, which gives h = g + 36.\n3. Substitute g = d + 20 to h, which gives h = d + 56.\n4. Substitute d = y + 13 to h, which gives h = y + 69.\n5. Substitute y = i + 14 to h, which gives h = i + 83.\n6. Substitute i = 6 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 19438,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 19; h = s + 15; b = f + 9; f = r + 14; g = d + 20; c = b + 16; s = u + 5; r = o + 17; d = y + 13; y = i + 14; o = n + 20; u = g + 16; i = 6. Given that i = 6, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 1", "j": "d + 18", "c": "j + 2", "y": "c + 15", "b": "y + 3", "r": "b + 17", "p": "w + 12", "f": "p + 14", "g": "f + 19", "q": "g + 12", "u": "q + 18", "i": "u + 16", "w": 19}, "premises": {"w": 19}, "target": "r"}, "answer": {"steps": [["b", "y + 3", "y + 20"], ["y", "c + 15", "c + 35"], ["c", "j + 2", "j + 37"], ["j", "d + 18", "d + 55"], ["d", "w + 1", "w + 56"], ["w", 19, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"w": 19}, "is_reverse": true}} | 19,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 18; q = g + 12; f = p + 14; y = c + 15; g = f + 19; b = y + 3; r = b + 17; c = j + 2; u = q + 18; d = w + 1; p = w + 12; i = u + 16; w = 19. If w = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 3 to r, which gives r = y + 20.\n2. Substitute y = c + 15 to r, which gives r = c + 35.\n3. Substitute c = j + 2 to r, which gives r = j + 37.\n4. Substitute j = d + 18 to r, which gives r = d + 55.\n5. Substitute d = w + 1 to r, which gives r = w + 56.\n6. Substitute w = 19 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 19439,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 18; q = g + 12; f = p + 14; y = c + 15; g = f + 19; b = y + 3; r = b + 17; c = j + 2; u = q + 18; d = w + 1; p = w + 12; i = u + 16; w = 19. If w = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 20", "b": "s + 3", "n": "b + 16", "f": "n + 12", "h": "f + 4", "d": "h + 19", "y": "v + 13", "i": "y + 10", "t": "i + 16", "e": "t + 7", "j": "e + 18", "c": "j + 10", "v": 2}, "premises": {"v": 2}, "target": "d"}, "answer": {"steps": [["h", "f + 4", "f + 23"], ["f", "n + 12", "n + 35"], ["n", "b + 16", "b + 51"], ["b", "s + 3", "s + 54"], ["s", "v + 20", "v + 74"], ["v", 2, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"v": 2}, "is_reverse": true}} | 19,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 20; i = y + 10; c = j + 10; e = t + 7; t = i + 16; n = b + 16; j = e + 18; f = n + 12; y = v + 13; v = 2; b = s + 3; d = h + 19; h = f + 4. If v = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 4 to d, which gives d = f + 23.\n2. Substitute f = n + 12 to d, which gives d = n + 35.\n3. Substitute n = b + 16 to d, which gives d = b + 51.\n4. Substitute b = s + 3 to d, which gives d = s + 54.\n5. Substitute s = v + 20 to d, which gives d = v + 74.\n6. Substitute v = 2 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 19440,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 20; i = y + 10; c = j + 10; e = t + 7; t = i + 16; n = b + 16; j = e + 18; f = n + 12; y = v + 13; v = 2; b = s + 3; d = h + 19; h = f + 4. If v = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 2", "f": "c + 5", "w": "f + 5", "h": "w + 20", "z": "h + 18", "j": "z + 13", "o": "r + 16", "l": "o + 7", "p": "l + 11", "d": "p + 9", "m": "d + 6", "x": "m + 20", "r": 20}, "premises": {"r": 20}, "target": "j"}, "answer": {"steps": [["z", "h + 18", "h + 31"], ["h", "w + 20", "w + 51"], ["w", "f + 5", "f + 56"], ["f", "c + 5", "c + 61"], ["c", "r + 2", "r + 63"], ["r", 20, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"r": 20}, "is_reverse": true}} | 19,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = f + 5; x = m + 20; r = 20; c = r + 2; z = h + 18; h = w + 20; o = r + 16; m = d + 6; p = l + 11; l = o + 7; j = z + 13; d = p + 9; f = c + 5. Given that r = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 18 to j, which gives j = h + 31.\n2. Substitute h = w + 20 to j, which gives j = w + 51.\n3. Substitute w = f + 5 to j, which gives j = f + 56.\n4. Substitute f = c + 5 to j, which gives j = c + 61.\n5. Substitute c = r + 2 to j, which gives j = r + 63.\n6. Substitute r = 20 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 19441,
"question": "Suppose a collection of variables is related by the following definitions: w = f + 5; x = m + 20; r = 20; c = r + 2; z = h + 18; h = w + 20; o = r + 16; m = d + 6; p = l + 11; l = o + 7; j = z + 13; d = p + 9; f = c + 5. Given that r = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 16", "j": "u + 19", "f": "j + 15", "v": "f + 17", "l": "v + 13", "w": "l + 16", "i": "n + 17", "c": "i + 19", "b": "c + 8", "y": "b + 8", "r": "y + 14", "x": "r + 8", "n": 9}, "premises": {"n": 9}, "target": "w"}, "answer": {"steps": [["l", "v + 13", "v + 29"], ["v", "f + 17", "f + 46"], ["f", "j + 15", "j + 61"], ["j", "u + 19", "u + 80"], ["u", "n + 16", "n + 96"], ["n", 9, "105"]], "target_var_name": "w", "target_value": 105, "value_dict": {"n": 9}, "is_reverse": true}} | 19,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = i + 19; u = n + 16; w = l + 16; j = u + 19; i = n + 17; v = f + 17; y = b + 8; r = y + 14; n = 9; x = r + 8; l = v + 13; b = c + 8; f = j + 15. Given that n = 9, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 13 to w, which gives w = v + 29.\n2. Substitute v = f + 17 to w, which gives w = f + 46.\n3. Substitute f = j + 15 to w, which gives w = j + 61.\n4. Substitute j = u + 19 to w, which gives w = u + 80.\n5. Substitute u = n + 16 to w, which gives w = n + 96.\n6. Substitute n = 9 to w, which gives w = 105.\n\nThus, the final answer is w = \\boxed{105}.",
"index": 19442,
"question": "Suppose a collection of variables is related by the following definitions: c = i + 19; u = n + 16; w = l + 16; j = u + 19; i = n + 17; v = f + 17; y = b + 8; r = y + 14; n = 9; x = r + 8; l = v + 13; b = c + 8; f = j + 15. Given that n = 9, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 4", "l": "i + 3", "f": "l + 14", "c": "f + 13", "m": "c + 6", "t": "m + 15", "x": "h + 11", "v": "x + 17", "d": "v + 17", "z": "d + 7", "j": "z + 1", "p": "j + 19", "h": 17}, "premises": {"h": 17}, "target": "t"}, "answer": {"steps": [["m", "c + 6", "c + 21"], ["c", "f + 13", "f + 34"], ["f", "l + 14", "l + 48"], ["l", "i + 3", "i + 51"], ["i", "h + 4", "h + 55"], ["h", 17, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"h": 17}, "is_reverse": true}} | 19,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 6; l = i + 3; h = 17; i = h + 4; x = h + 11; p = j + 19; z = d + 7; d = v + 17; c = f + 13; f = l + 14; j = z + 1; t = m + 15; v = x + 17. Given that h = 17, 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 m = c + 6 to t, which gives t = c + 21.\n2. Substitute c = f + 13 to t, which gives t = f + 34.\n3. Substitute f = l + 14 to t, which gives t = l + 48.\n4. Substitute l = i + 3 to t, which gives t = i + 51.\n5. Substitute i = h + 4 to t, which gives t = h + 55.\n6. Substitute h = 17 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 19443,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 6; l = i + 3; h = 17; i = h + 4; x = h + 11; p = j + 19; z = d + 7; d = v + 17; c = f + 13; f = l + 14; j = z + 1; t = m + 15; v = x + 17. Given that h = 17, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 20", "s": "x + 7", "g": "s + 11", "p": "g + 20", "h": "p + 10", "u": "h + 7", "d": "o + 14", "z": "d + 11", "i": "z + 8", "y": "i + 11", "m": "y + 16", "t": "m + 16", "o": 5}, "premises": {"o": 5}, "target": "u"}, "answer": {"steps": [["h", "p + 10", "p + 17"], ["p", "g + 20", "g + 37"], ["g", "s + 11", "s + 48"], ["s", "x + 7", "x + 55"], ["x", "o + 20", "o + 75"], ["o", 5, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"o": 5}, "is_reverse": true}} | 19,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = z + 8; s = x + 7; z = d + 11; g = s + 11; x = o + 20; m = y + 16; h = p + 10; p = g + 20; d = o + 14; t = m + 16; o = 5; u = h + 7; y = i + 11. If o = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 10 to u, which gives u = p + 17.\n2. Substitute p = g + 20 to u, which gives u = g + 37.\n3. Substitute g = s + 11 to u, which gives u = s + 48.\n4. Substitute s = x + 7 to u, which gives u = x + 55.\n5. Substitute x = o + 20 to u, which gives u = o + 75.\n6. Substitute o = 5 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 19444,
"question": "Consider a system of variables where each variable is defined as follows: i = z + 8; s = x + 7; z = d + 11; g = s + 11; x = o + 20; m = y + 16; h = p + 10; p = g + 20; d = o + 14; t = m + 16; o = 5; u = h + 7; y = i + 11. If o = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 3", "g": "m + 8", "d": "g + 10", "i": "d + 5", "h": "i + 20", "e": "h + 2", "t": "c + 12", "v": "t + 15", "k": "v + 2", "z": "k + 18", "x": "z + 15", "o": "x + 4", "c": 12}, "premises": {"c": 12}, "target": "e"}, "answer": {"steps": [["h", "i + 20", "i + 22"], ["i", "d + 5", "d + 27"], ["d", "g + 10", "g + 37"], ["g", "m + 8", "m + 45"], ["m", "c + 3", "c + 48"], ["c", 12, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"c": 12}, "is_reverse": true}} | 19,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 5; c = 12; o = x + 4; d = g + 10; z = k + 18; g = m + 8; e = h + 2; m = c + 3; v = t + 15; t = c + 12; x = z + 15; h = i + 20; k = v + 2. Given that c = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 20 to e, which gives e = i + 22.\n2. Substitute i = d + 5 to e, which gives e = d + 27.\n3. Substitute d = g + 10 to e, which gives e = g + 37.\n4. Substitute g = m + 8 to e, which gives e = m + 45.\n5. Substitute m = c + 3 to e, which gives e = c + 48.\n6. Substitute c = 12 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 19445,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 5; c = 12; o = x + 4; d = g + 10; z = k + 18; g = m + 8; e = h + 2; m = c + 3; v = t + 15; t = c + 12; x = z + 15; h = i + 20; k = v + 2. Given that c = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 14", "j": "h + 3", "s": "j + 10", "i": "s + 3", "f": "i + 15", "l": "f + 20", "y": "m + 20", "e": "y + 19", "u": "e + 20", "b": "u + 20", "c": "b + 16", "x": "c + 19", "m": 4}, "premises": {"m": 4}, "target": "l"}, "answer": {"steps": [["f", "i + 15", "i + 35"], ["i", "s + 3", "s + 38"], ["s", "j + 10", "j + 48"], ["j", "h + 3", "h + 51"], ["h", "m + 14", "m + 65"], ["m", 4, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"m": 4}, "is_reverse": true}} | 19,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 15; m = 4; j = h + 3; e = y + 19; h = m + 14; s = j + 10; i = s + 3; x = c + 19; l = f + 20; c = b + 16; b = u + 20; y = m + 20; u = e + 20. Given that m = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 15 to l, which gives l = i + 35.\n2. Substitute i = s + 3 to l, which gives l = s + 38.\n3. Substitute s = j + 10 to l, which gives l = j + 48.\n4. Substitute j = h + 3 to l, which gives l = h + 51.\n5. Substitute h = m + 14 to l, which gives l = m + 65.\n6. Substitute m = 4 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 19446,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 15; m = 4; j = h + 3; e = y + 19; h = m + 14; s = j + 10; i = s + 3; x = c + 19; l = f + 20; c = b + 16; b = u + 20; y = m + 20; u = e + 20. Given that m = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 7", "y": "j + 15", "x": "y + 18", "z": "x + 6", "q": "z + 11", "a": "q + 6", "b": "c + 19", "g": "b + 7", "o": "g + 9", "f": "o + 6", "n": "f + 5", "v": "n + 12", "c": 18}, "premises": {"c": 18}, "target": "a"}, "answer": {"steps": [["q", "z + 11", "z + 17"], ["z", "x + 6", "x + 23"], ["x", "y + 18", "y + 41"], ["y", "j + 15", "j + 56"], ["j", "c + 7", "c + 63"], ["c", 18, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"c": 18}, "is_reverse": true}} | 19,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = q + 6; q = z + 11; g = b + 7; v = n + 12; f = o + 6; o = g + 9; j = c + 7; n = f + 5; z = x + 6; y = j + 15; x = y + 18; b = c + 19; c = 18. If c = 18, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 11 to a, which gives a = z + 17.\n2. Substitute z = x + 6 to a, which gives a = x + 23.\n3. Substitute x = y + 18 to a, which gives a = y + 41.\n4. Substitute y = j + 15 to a, which gives a = j + 56.\n5. Substitute j = c + 7 to a, which gives a = c + 63.\n6. Substitute c = 18 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 19447,
"question": "Consider a system of variables where each variable is defined as follows: a = q + 6; q = z + 11; g = b + 7; v = n + 12; f = o + 6; o = g + 9; j = c + 7; n = f + 5; z = x + 6; y = j + 15; x = y + 18; b = c + 19; c = 18. If c = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 11", "w": "t + 4", "o": "w + 14", "p": "o + 3", "k": "p + 16", "g": "k + 18", "i": "y + 15", "e": "i + 12", "a": "e + 11", "f": "a + 15", "b": "f + 6", "d": "b + 5", "y": 6}, "premises": {"y": 6}, "target": "g"}, "answer": {"steps": [["k", "p + 16", "p + 34"], ["p", "o + 3", "o + 37"], ["o", "w + 14", "w + 51"], ["w", "t + 4", "t + 55"], ["t", "y + 11", "y + 66"], ["y", 6, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"y": 6}, "is_reverse": true}} | 19,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 11; i = y + 15; b = f + 6; g = k + 18; e = i + 12; t = y + 11; f = a + 15; k = p + 16; p = o + 3; w = t + 4; o = w + 14; y = 6; d = b + 5. If y = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 16 to g, which gives g = p + 34.\n2. Substitute p = o + 3 to g, which gives g = o + 37.\n3. Substitute o = w + 14 to g, which gives g = w + 51.\n4. Substitute w = t + 4 to g, which gives g = t + 55.\n5. Substitute t = y + 11 to g, which gives g = y + 66.\n6. Substitute y = 6 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 19448,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 11; i = y + 15; b = f + 6; g = k + 18; e = i + 12; t = y + 11; f = a + 15; k = p + 16; p = o + 3; w = t + 4; o = w + 14; y = 6; d = b + 5. If y = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 20", "s": "n + 20", "v": "s + 2", "l": "v + 2", "z": "l + 2", "q": "z + 19", "y": "j + 3", "p": "y + 10", "k": "p + 12", "m": "k + 7", "r": "m + 13", "h": "r + 11", "j": 5}, "premises": {"j": 5}, "target": "q"}, "answer": {"steps": [["z", "l + 2", "l + 21"], ["l", "v + 2", "v + 23"], ["v", "s + 2", "s + 25"], ["s", "n + 20", "n + 45"], ["n", "j + 20", "j + 65"], ["j", 5, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"j": 5}, "is_reverse": true}} | 19,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 3; s = n + 20; r = m + 13; z = l + 2; v = s + 2; h = r + 11; q = z + 19; j = 5; l = v + 2; p = y + 10; n = j + 20; k = p + 12; m = k + 7. If j = 5, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 2 to q, which gives q = l + 21.\n2. Substitute l = v + 2 to q, which gives q = v + 23.\n3. Substitute v = s + 2 to q, which gives q = s + 25.\n4. Substitute s = n + 20 to q, which gives q = n + 45.\n5. Substitute n = j + 20 to q, which gives q = j + 65.\n6. Substitute j = 5 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 19449,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 3; s = n + 20; r = m + 13; z = l + 2; v = s + 2; h = r + 11; q = z + 19; j = 5; l = v + 2; p = y + 10; n = j + 20; k = p + 12; m = k + 7. If j = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 5", "u": "y + 14", "k": "u + 7", "b": "k + 17", "m": "b + 19", "j": "m + 12", "x": "f + 20", "d": "x + 20", "p": "d + 11", "v": "p + 15", "s": "v + 16", "t": "s + 16", "f": 1}, "premises": {"f": 1}, "target": "j"}, "answer": {"steps": [["m", "b + 19", "b + 31"], ["b", "k + 17", "k + 48"], ["k", "u + 7", "u + 55"], ["u", "y + 14", "y + 69"], ["y", "f + 5", "f + 74"], ["f", 1, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"f": 1}, "is_reverse": true}} | 19,450 | 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 = f + 20; f = 1; d = x + 20; k = u + 7; p = d + 11; y = f + 5; v = p + 15; j = m + 12; s = v + 16; t = s + 16; b = k + 17; m = b + 19; u = y + 14. If f = 1, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 19 to j, which gives j = b + 31.\n2. Substitute b = k + 17 to j, which gives j = k + 48.\n3. Substitute k = u + 7 to j, which gives j = u + 55.\n4. Substitute u = y + 14 to j, which gives j = y + 69.\n5. Substitute y = f + 5 to j, which gives j = f + 74.\n6. Substitute f = 1 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 19450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 20; f = 1; d = x + 20; k = u + 7; p = d + 11; y = f + 5; v = p + 15; j = m + 12; s = v + 16; t = s + 16; b = k + 17; m = b + 19; u = y + 14. If f = 1, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 5", "p": "f + 12", "w": "p + 12", "q": "w + 1", "g": "q + 19", "m": "g + 19", "j": "n + 8", "s": "j + 8", "u": "s + 15", "b": "u + 15", "z": "b + 12", "i": "z + 7", "n": 19}, "premises": {"n": 19}, "target": "m"}, "answer": {"steps": [["g", "q + 19", "q + 38"], ["q", "w + 1", "w + 39"], ["w", "p + 12", "p + 51"], ["p", "f + 12", "f + 63"], ["f", "n + 5", "n + 68"], ["n", 19, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"n": 19}, "is_reverse": true}} | 19,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 15; p = f + 12; s = j + 8; q = w + 1; b = u + 15; g = q + 19; w = p + 12; n = 19; i = z + 7; f = n + 5; z = b + 12; j = n + 8; m = g + 19. If n = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 19 to m, which gives m = q + 38.\n2. Substitute q = w + 1 to m, which gives m = w + 39.\n3. Substitute w = p + 12 to m, which gives m = p + 51.\n4. Substitute p = f + 12 to m, which gives m = f + 63.\n5. Substitute f = n + 5 to m, which gives m = n + 68.\n6. Substitute n = 19 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 19451,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 15; p = f + 12; s = j + 8; q = w + 1; b = u + 15; g = q + 19; w = p + 12; n = 19; i = z + 7; f = n + 5; z = b + 12; j = n + 8; m = g + 19. If n = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 9", "s": "h + 6", "c": "s + 12", "i": "c + 8", "p": "i + 6", "y": "p + 12", "a": "l + 3", "r": "a + 17", "v": "r + 13", "k": "v + 17", "o": "k + 2", "b": "o + 1", "l": 5}, "premises": {"l": 5}, "target": "y"}, "answer": {"steps": [["p", "i + 6", "i + 18"], ["i", "c + 8", "c + 26"], ["c", "s + 12", "s + 38"], ["s", "h + 6", "h + 44"], ["h", "l + 9", "l + 53"], ["l", 5, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"l": 5}, "is_reverse": true}} | 19,452 | 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 = 5; h = l + 9; a = l + 3; r = a + 17; k = v + 17; b = o + 1; y = p + 12; p = i + 6; c = s + 12; s = h + 6; v = r + 13; i = c + 8; o = k + 2. If l = 5, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 6 to y, which gives y = i + 18.\n2. Substitute i = c + 8 to y, which gives y = c + 26.\n3. Substitute c = s + 12 to y, which gives y = s + 38.\n4. Substitute s = h + 6 to y, which gives y = h + 44.\n5. Substitute h = l + 9 to y, which gives y = l + 53.\n6. Substitute l = 5 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 19452,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 5; h = l + 9; a = l + 3; r = a + 17; k = v + 17; b = o + 1; y = p + 12; p = i + 6; c = s + 12; s = h + 6; v = r + 13; i = c + 8; o = k + 2. If l = 5, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 12", "p": "f + 6", "q": "p + 7", "c": "q + 19", "h": "c + 18", "y": "h + 16", "m": "j + 18", "o": "m + 17", "t": "o + 18", "e": "t + 8", "s": "e + 4", "w": "s + 20", "j": 13}, "premises": {"j": 13}, "target": "y"}, "answer": {"steps": [["h", "c + 18", "c + 34"], ["c", "q + 19", "q + 53"], ["q", "p + 7", "p + 60"], ["p", "f + 6", "f + 66"], ["f", "j + 12", "j + 78"], ["j", 13, "91"]], "target_var_name": "y", "target_value": 91, "value_dict": {"j": 13}, "is_reverse": true}} | 19,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 13; p = f + 6; w = s + 20; m = j + 18; q = p + 7; h = c + 18; s = e + 4; t = o + 18; y = h + 16; c = q + 19; e = t + 8; o = m + 17; f = j + 12. If j = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 18 to y, which gives y = c + 34.\n2. Substitute c = q + 19 to y, which gives y = q + 53.\n3. Substitute q = p + 7 to y, which gives y = p + 60.\n4. Substitute p = f + 6 to y, which gives y = f + 66.\n5. Substitute f = j + 12 to y, which gives y = j + 78.\n6. Substitute j = 13 to y, which gives y = 91.\n\nThus, the final answer is y = \\boxed{91}.",
"index": 19453,
"question": "Consider a system of variables where each variable is defined as follows: j = 13; p = f + 6; w = s + 20; m = j + 18; q = p + 7; h = c + 18; s = e + 4; t = o + 18; y = h + 16; c = q + 19; e = t + 8; o = m + 17; f = j + 12. If j = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 5", "e": "f + 15", "m": "e + 8", "l": "m + 14", "o": "l + 19", "b": "o + 15", "x": "y + 19", "a": "x + 15", "r": "a + 2", "s": "r + 9", "k": "s + 11", "g": "k + 1", "y": 6}, "premises": {"y": 6}, "target": "b"}, "answer": {"steps": [["o", "l + 19", "l + 34"], ["l", "m + 14", "m + 48"], ["m", "e + 8", "e + 56"], ["e", "f + 15", "f + 71"], ["f", "y + 5", "y + 76"], ["y", 6, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"y": 6}, "is_reverse": true}} | 19,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 5; k = s + 11; r = a + 2; o = l + 19; x = y + 19; y = 6; b = o + 15; m = e + 8; e = f + 15; a = x + 15; s = r + 9; l = m + 14; g = k + 1. If y = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 19 to b, which gives b = l + 34.\n2. Substitute l = m + 14 to b, which gives b = m + 48.\n3. Substitute m = e + 8 to b, which gives b = e + 56.\n4. Substitute e = f + 15 to b, which gives b = f + 71.\n5. Substitute f = y + 5 to b, which gives b = y + 76.\n6. Substitute y = 6 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 19454,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 5; k = s + 11; r = a + 2; o = l + 19; x = y + 19; y = 6; b = o + 15; m = e + 8; e = f + 15; a = x + 15; s = r + 9; l = m + 14; g = k + 1. If y = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 5", "k": "x + 11", "v": "k + 19", "y": "v + 7", "c": "y + 2", "u": "c + 13", "o": "t + 10", "m": "o + 19", "p": "m + 20", "i": "p + 9", "b": "i + 13", "n": "b + 8", "t": 10}, "premises": {"t": 10}, "target": "u"}, "answer": {"steps": [["c", "y + 2", "y + 15"], ["y", "v + 7", "v + 22"], ["v", "k + 19", "k + 41"], ["k", "x + 11", "x + 52"], ["x", "t + 5", "t + 57"], ["t", 10, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"t": 10}, "is_reverse": true}} | 19,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 20; i = p + 9; n = b + 8; t = 10; k = x + 11; o = t + 10; u = c + 13; v = k + 19; x = t + 5; m = o + 19; c = y + 2; y = v + 7; b = i + 13. Given that t = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 2 to u, which gives u = y + 15.\n2. Substitute y = v + 7 to u, which gives u = v + 22.\n3. Substitute v = k + 19 to u, which gives u = k + 41.\n4. Substitute k = x + 11 to u, which gives u = x + 52.\n5. Substitute x = t + 5 to u, which gives u = t + 57.\n6. Substitute t = 10 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 19455,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 20; i = p + 9; n = b + 8; t = 10; k = x + 11; o = t + 10; u = c + 13; v = k + 19; x = t + 5; m = o + 19; c = y + 2; y = v + 7; b = i + 13. Given that t = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 5", "k": "x + 12", "q": "k + 10", "p": "q + 10", "s": "p + 14", "l": "s + 9", "v": "r + 20", "c": "v + 5", "n": "c + 1", "f": "n + 10", "t": "f + 1", "j": "t + 12", "r": 17}, "premises": {"r": 17}, "target": "l"}, "answer": {"steps": [["s", "p + 14", "p + 23"], ["p", "q + 10", "q + 33"], ["q", "k + 10", "k + 43"], ["k", "x + 12", "x + 55"], ["x", "r + 5", "r + 60"], ["r", 17, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"r": 17}, "is_reverse": true}} | 19,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 20; c = v + 5; s = p + 14; t = f + 1; n = c + 1; f = n + 10; k = x + 12; p = q + 10; r = 17; x = r + 5; q = k + 10; j = t + 12; l = s + 9. If r = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 14 to l, which gives l = p + 23.\n2. Substitute p = q + 10 to l, which gives l = q + 33.\n3. Substitute q = k + 10 to l, which gives l = k + 43.\n4. Substitute k = x + 12 to l, which gives l = x + 55.\n5. Substitute x = r + 5 to l, which gives l = r + 60.\n6. Substitute r = 17 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 19456,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 20; c = v + 5; s = p + 14; t = f + 1; n = c + 1; f = n + 10; k = x + 12; p = q + 10; r = 17; x = r + 5; q = k + 10; j = t + 12; l = s + 9. If r = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 8", "z": "y + 11", "d": "z + 11", "s": "d + 17", "p": "s + 3", "b": "p + 11", "l": "r + 8", "u": "l + 3", "x": "u + 8", "q": "x + 11", "v": "q + 3", "g": "v + 9", "r": 6}, "premises": {"r": 6}, "target": "b"}, "answer": {"steps": [["p", "s + 3", "s + 14"], ["s", "d + 17", "d + 31"], ["d", "z + 11", "z + 42"], ["z", "y + 11", "y + 53"], ["y", "r + 8", "r + 61"], ["r", 6, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"r": 6}, "is_reverse": true}} | 19,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 3; y = r + 8; x = u + 8; r = 6; z = y + 11; s = d + 17; v = q + 3; d = z + 11; b = p + 11; l = r + 8; q = x + 11; g = v + 9; p = s + 3. If r = 6, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 3 to b, which gives b = s + 14.\n2. Substitute s = d + 17 to b, which gives b = d + 31.\n3. Substitute d = z + 11 to b, which gives b = z + 42.\n4. Substitute z = y + 11 to b, which gives b = y + 53.\n5. Substitute y = r + 8 to b, which gives b = r + 61.\n6. Substitute r = 6 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 19457,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 3; y = r + 8; x = u + 8; r = 6; z = y + 11; s = d + 17; v = q + 3; d = z + 11; b = p + 11; l = r + 8; q = x + 11; g = v + 9; p = s + 3. If r = 6, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 10", "v": "p + 12", "m": "v + 19", "f": "m + 17", "n": "f + 2", "s": "n + 10", "u": "i + 14", "e": "u + 16", "q": "e + 11", "a": "q + 19", "j": "a + 8", "h": "j + 1", "i": 3}, "premises": {"i": 3}, "target": "s"}, "answer": {"steps": [["n", "f + 2", "f + 12"], ["f", "m + 17", "m + 29"], ["m", "v + 19", "v + 48"], ["v", "p + 12", "p + 60"], ["p", "i + 10", "i + 70"], ["i", 3, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"i": 3}, "is_reverse": true}} | 19,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 17; m = v + 19; i = 3; v = p + 12; e = u + 16; h = j + 1; n = f + 2; a = q + 19; p = i + 10; j = a + 8; s = n + 10; q = e + 11; u = i + 14. If i = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 2 to s, which gives s = f + 12.\n2. Substitute f = m + 17 to s, which gives s = m + 29.\n3. Substitute m = v + 19 to s, which gives s = v + 48.\n4. Substitute v = p + 12 to s, which gives s = p + 60.\n5. Substitute p = i + 10 to s, which gives s = i + 70.\n6. Substitute i = 3 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 19458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 17; m = v + 19; i = 3; v = p + 12; e = u + 16; h = j + 1; n = f + 2; a = q + 19; p = i + 10; j = a + 8; s = n + 10; q = e + 11; u = i + 14. If i = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 1", "i": "h + 10", "m": "i + 18", "l": "m + 10", "n": "l + 9", "e": "n + 6", "b": "r + 13", "x": "b + 19", "k": "x + 4", "a": "k + 13", "g": "a + 8", "y": "g + 5", "r": 10}, "premises": {"r": 10}, "target": "e"}, "answer": {"steps": [["n", "l + 9", "l + 15"], ["l", "m + 10", "m + 25"], ["m", "i + 18", "i + 43"], ["i", "h + 10", "h + 53"], ["h", "r + 1", "r + 54"], ["r", 10, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"r": 10}, "is_reverse": true}} | 19,459 | 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 = x + 4; e = n + 6; g = a + 8; y = g + 5; x = b + 19; a = k + 13; h = r + 1; l = m + 10; r = 10; m = i + 18; n = l + 9; b = r + 13; i = h + 10. If r = 10, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 9 to e, which gives e = l + 15.\n2. Substitute l = m + 10 to e, which gives e = m + 25.\n3. Substitute m = i + 18 to e, which gives e = i + 43.\n4. Substitute i = h + 10 to e, which gives e = h + 53.\n5. Substitute h = r + 1 to e, which gives e = r + 54.\n6. Substitute r = 10 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 19459,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 4; e = n + 6; g = a + 8; y = g + 5; x = b + 19; a = k + 13; h = r + 1; l = m + 10; r = 10; m = i + 18; n = l + 9; b = r + 13; i = h + 10. If r = 10, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 5", "j": "u + 20", "m": "j + 20", "w": "m + 19", "v": "w + 9", "k": "v + 17", "h": "d + 16", "s": "h + 14", "b": "s + 15", "a": "b + 19", "c": "a + 11", "x": "c + 20", "d": 4}, "premises": {"d": 4}, "target": "k"}, "answer": {"steps": [["v", "w + 9", "w + 26"], ["w", "m + 19", "m + 45"], ["m", "j + 20", "j + 65"], ["j", "u + 20", "u + 85"], ["u", "d + 5", "d + 90"], ["d", 4, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"d": 4}, "is_reverse": true}} | 19,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = d + 5; m = j + 20; b = s + 15; j = u + 20; s = h + 14; k = v + 17; d = 4; a = b + 19; x = c + 20; c = a + 11; h = d + 16; w = m + 19; v = w + 9. If d = 4, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 9 to k, which gives k = w + 26.\n2. Substitute w = m + 19 to k, which gives k = m + 45.\n3. Substitute m = j + 20 to k, which gives k = j + 65.\n4. Substitute j = u + 20 to k, which gives k = u + 85.\n5. Substitute u = d + 5 to k, which gives k = d + 90.\n6. Substitute d = 4 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 19460,
"question": "Consider a system of variables where each variable is defined as follows: u = d + 5; m = j + 20; b = s + 15; j = u + 20; s = h + 14; k = v + 17; d = 4; a = b + 19; x = c + 20; c = a + 11; h = d + 16; w = m + 19; v = w + 9. If d = 4, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 13", "h": "y + 14", "g": "h + 15", "j": "g + 2", "s": "j + 1", "t": "s + 17", "u": "d + 1", "p": "u + 6", "m": "p + 7", "r": "m + 12", "i": "r + 6", "q": "i + 4", "d": 8}, "premises": {"d": 8}, "target": "t"}, "answer": {"steps": [["s", "j + 1", "j + 18"], ["j", "g + 2", "g + 20"], ["g", "h + 15", "h + 35"], ["h", "y + 14", "y + 49"], ["y", "d + 13", "d + 62"], ["d", 8, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"d": 8}, "is_reverse": true}} | 19,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = g + 2; g = h + 15; q = i + 4; u = d + 1; i = r + 6; p = u + 6; s = j + 1; d = 8; t = s + 17; y = d + 13; r = m + 12; h = y + 14; m = p + 7. Given that d = 8, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 1 to t, which gives t = j + 18.\n2. Substitute j = g + 2 to t, which gives t = g + 20.\n3. Substitute g = h + 15 to t, which gives t = h + 35.\n4. Substitute h = y + 14 to t, which gives t = y + 49.\n5. Substitute y = d + 13 to t, which gives t = d + 62.\n6. Substitute d = 8 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 19461,
"question": "Suppose a collection of variables is related by the following definitions: j = g + 2; g = h + 15; q = i + 4; u = d + 1; i = r + 6; p = u + 6; s = j + 1; d = 8; t = s + 17; y = d + 13; r = m + 12; h = y + 14; m = p + 7. Given that d = 8, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 11", "t": "d + 4", "n": "t + 17", "r": "n + 14", "p": "r + 15", "z": "p + 3", "q": "a + 1", "u": "q + 6", "m": "u + 4", "v": "m + 15", "k": "v + 2", "j": "k + 19", "a": 13}, "premises": {"a": 13}, "target": "z"}, "answer": {"steps": [["p", "r + 15", "r + 18"], ["r", "n + 14", "n + 32"], ["n", "t + 17", "t + 49"], ["t", "d + 4", "d + 53"], ["d", "a + 11", "a + 64"], ["a", 13, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"a": 13}, "is_reverse": true}} | 19,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 15; k = v + 2; m = u + 4; p = r + 15; t = d + 4; u = q + 6; q = a + 1; r = n + 14; z = p + 3; a = 13; j = k + 19; n = t + 17; d = a + 11. If a = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 15 to z, which gives z = r + 18.\n2. Substitute r = n + 14 to z, which gives z = n + 32.\n3. Substitute n = t + 17 to z, which gives z = t + 49.\n4. Substitute t = d + 4 to z, which gives z = d + 53.\n5. Substitute d = a + 11 to z, which gives z = a + 64.\n6. Substitute a = 13 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 19462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 15; k = v + 2; m = u + 4; p = r + 15; t = d + 4; u = q + 6; q = a + 1; r = n + 14; z = p + 3; a = 13; j = k + 19; n = t + 17; d = a + 11. If a = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 20", "a": "d + 9", "i": "a + 2", "x": "i + 4", "q": "x + 8", "u": "q + 2", "l": "j + 16", "g": "l + 2", "y": "g + 20", "c": "y + 16", "b": "c + 20", "r": "b + 3", "j": 10}, "premises": {"j": 10}, "target": "u"}, "answer": {"steps": [["q", "x + 8", "x + 10"], ["x", "i + 4", "i + 14"], ["i", "a + 2", "a + 16"], ["a", "d + 9", "d + 25"], ["d", "j + 20", "j + 45"], ["j", 10, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"j": 10}, "is_reverse": true}} | 19,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = b + 3; b = c + 20; q = x + 8; l = j + 16; x = i + 4; d = j + 20; g = l + 2; c = y + 16; j = 10; a = d + 9; y = g + 20; i = a + 2; u = q + 2. Given that j = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 8 to u, which gives u = x + 10.\n2. Substitute x = i + 4 to u, which gives u = i + 14.\n3. Substitute i = a + 2 to u, which gives u = a + 16.\n4. Substitute a = d + 9 to u, which gives u = d + 25.\n5. Substitute d = j + 20 to u, which gives u = j + 45.\n6. Substitute j = 10 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 19463,
"question": "Suppose a collection of variables is related by the following definitions: r = b + 3; b = c + 20; q = x + 8; l = j + 16; x = i + 4; d = j + 20; g = l + 2; c = y + 16; j = 10; a = d + 9; y = g + 20; i = a + 2; u = q + 2. Given that j = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 17", "a": "c + 9", "f": "a + 16", "b": "f + 6", "g": "b + 3", "s": "g + 5", "v": "l + 6", "p": "v + 17", "d": "p + 19", "x": "d + 14", "j": "x + 9", "i": "j + 13", "l": 11}, "premises": {"l": 11}, "target": "s"}, "answer": {"steps": [["g", "b + 3", "b + 8"], ["b", "f + 6", "f + 14"], ["f", "a + 16", "a + 30"], ["a", "c + 9", "c + 39"], ["c", "l + 17", "l + 56"], ["l", 11, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"l": 11}, "is_reverse": true}} | 19,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 17; v = l + 6; g = b + 3; a = c + 9; d = p + 19; l = 11; f = a + 16; s = g + 5; x = d + 14; j = x + 9; c = l + 17; b = f + 6; i = j + 13. Given that l = 11, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 3 to s, which gives s = b + 8.\n2. Substitute b = f + 6 to s, which gives s = f + 14.\n3. Substitute f = a + 16 to s, which gives s = a + 30.\n4. Substitute a = c + 9 to s, which gives s = c + 39.\n5. Substitute c = l + 17 to s, which gives s = l + 56.\n6. Substitute l = 11 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 19464,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 17; v = l + 6; g = b + 3; a = c + 9; d = p + 19; l = 11; f = a + 16; s = g + 5; x = d + 14; j = x + 9; c = l + 17; b = f + 6; i = j + 13. Given that l = 11, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 11", "d": "v + 11", "b": "d + 1", "c": "b + 3", "x": "c + 9", "f": "x + 16", "z": "o + 8", "a": "z + 16", "t": "a + 11", "j": "t + 16", "s": "j + 15", "n": "s + 5", "o": 7}, "premises": {"o": 7}, "target": "f"}, "answer": {"steps": [["x", "c + 9", "c + 25"], ["c", "b + 3", "b + 28"], ["b", "d + 1", "d + 29"], ["d", "v + 11", "v + 40"], ["v", "o + 11", "o + 51"], ["o", 7, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"o": 7}, "is_reverse": true}} | 19,465 | 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 + 1; s = j + 15; v = o + 11; c = b + 3; x = c + 9; o = 7; d = v + 11; a = z + 16; z = o + 8; f = x + 16; j = t + 16; t = a + 11; n = s + 5. If o = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 9 to f, which gives f = c + 25.\n2. Substitute c = b + 3 to f, which gives f = b + 28.\n3. Substitute b = d + 1 to f, which gives f = d + 29.\n4. Substitute d = v + 11 to f, which gives f = v + 40.\n5. Substitute v = o + 11 to f, which gives f = o + 51.\n6. Substitute o = 7 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 19465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 1; s = j + 15; v = o + 11; c = b + 3; x = c + 9; o = 7; d = v + 11; a = z + 16; z = o + 8; f = x + 16; j = t + 16; t = a + 11; n = s + 5. If o = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 2", "s": "d + 16", "i": "s + 2", "v": "i + 2", "k": "v + 4", "x": "k + 13", "g": "t + 10", "n": "g + 2", "f": "n + 18", "o": "f + 7", "z": "o + 1", "j": "z + 20", "t": 7}, "premises": {"t": 7}, "target": "x"}, "answer": {"steps": [["k", "v + 4", "v + 17"], ["v", "i + 2", "i + 19"], ["i", "s + 2", "s + 21"], ["s", "d + 16", "d + 37"], ["d", "t + 2", "t + 39"], ["t", 7, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"t": 7}, "is_reverse": true}} | 19,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = t + 2; v = i + 2; s = d + 16; i = s + 2; g = t + 10; k = v + 4; t = 7; o = f + 7; x = k + 13; z = o + 1; n = g + 2; j = z + 20; f = n + 18. Given that t = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 4 to x, which gives x = v + 17.\n2. Substitute v = i + 2 to x, which gives x = i + 19.\n3. Substitute i = s + 2 to x, which gives x = s + 21.\n4. Substitute s = d + 16 to x, which gives x = d + 37.\n5. Substitute d = t + 2 to x, which gives x = t + 39.\n6. Substitute t = 7 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 19466,
"question": "Suppose a collection of variables is related by the following definitions: d = t + 2; v = i + 2; s = d + 16; i = s + 2; g = t + 10; k = v + 4; t = 7; o = f + 7; x = k + 13; z = o + 1; n = g + 2; j = z + 20; f = n + 18. Given that t = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 20", "o": "m + 18", "d": "o + 11", "w": "d + 12", "q": "w + 20", "g": "q + 13", "l": "r + 1", "i": "l + 20", "j": "i + 1", "v": "j + 4", "y": "v + 6", "c": "y + 12", "r": 17}, "premises": {"r": 17}, "target": "g"}, "answer": {"steps": [["q", "w + 20", "w + 33"], ["w", "d + 12", "d + 45"], ["d", "o + 11", "o + 56"], ["o", "m + 18", "m + 74"], ["m", "r + 20", "r + 94"], ["r", 17, "111"]], "target_var_name": "g", "target_value": 111, "value_dict": {"r": 17}, "is_reverse": true}} | 19,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 12; m = r + 20; y = v + 6; r = 17; d = o + 11; v = j + 4; w = d + 12; g = q + 13; q = w + 20; i = l + 20; j = i + 1; o = m + 18; l = r + 1. If r = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 20 to g, which gives g = w + 33.\n2. Substitute w = d + 12 to g, which gives g = d + 45.\n3. Substitute d = o + 11 to g, which gives g = o + 56.\n4. Substitute o = m + 18 to g, which gives g = m + 74.\n5. Substitute m = r + 20 to g, which gives g = r + 94.\n6. Substitute r = 17 to g, which gives g = 111.\n\nThus, the final answer is g = \\boxed{111}.",
"index": 19467,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 12; m = r + 20; y = v + 6; r = 17; d = o + 11; v = j + 4; w = d + 12; g = q + 13; q = w + 20; i = l + 20; j = i + 1; o = m + 18; l = r + 1. If r = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 14", "h": "x + 7", "o": "h + 2", "y": "o + 9", "d": "y + 7", "a": "d + 17", "e": "g + 17", "i": "e + 3", "j": "i + 4", "n": "j + 3", "c": "n + 17", "q": "c + 17", "g": 13}, "premises": {"g": 13}, "target": "a"}, "answer": {"steps": [["d", "y + 7", "y + 24"], ["y", "o + 9", "o + 33"], ["o", "h + 2", "h + 35"], ["h", "x + 7", "x + 42"], ["x", "g + 14", "g + 56"], ["g", 13, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"g": 13}, "is_reverse": true}} | 19,468 | 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 + 9; o = h + 2; a = d + 17; q = c + 17; n = j + 3; x = g + 14; i = e + 3; d = y + 7; c = n + 17; g = 13; e = g + 17; h = x + 7; j = i + 4. If g = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 7 to a, which gives a = y + 24.\n2. Substitute y = o + 9 to a, which gives a = o + 33.\n3. Substitute o = h + 2 to a, which gives a = h + 35.\n4. Substitute h = x + 7 to a, which gives a = x + 42.\n5. Substitute x = g + 14 to a, which gives a = g + 56.\n6. Substitute g = 13 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 19468,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 9; o = h + 2; a = d + 17; q = c + 17; n = j + 3; x = g + 14; i = e + 3; d = y + 7; c = n + 17; g = 13; e = g + 17; h = x + 7; j = i + 4. If g = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 12", "s": "p + 14", "n": "s + 20", "b": "n + 3", "d": "b + 20", "y": "d + 1", "x": "c + 8", "e": "x + 6", "i": "e + 1", "o": "i + 5", "f": "o + 6", "q": "f + 4", "c": 9}, "premises": {"c": 9}, "target": "y"}, "answer": {"steps": [["d", "b + 20", "b + 21"], ["b", "n + 3", "n + 24"], ["n", "s + 20", "s + 44"], ["s", "p + 14", "p + 58"], ["p", "c + 12", "c + 70"], ["c", 9, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"c": 9}, "is_reverse": true}} | 19,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 14; p = c + 12; c = 9; x = c + 8; y = d + 1; n = s + 20; f = o + 6; q = f + 4; b = n + 3; d = b + 20; i = e + 1; o = i + 5; e = x + 6. If c = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 20 to y, which gives y = b + 21.\n2. Substitute b = n + 3 to y, which gives y = n + 24.\n3. Substitute n = s + 20 to y, which gives y = s + 44.\n4. Substitute s = p + 14 to y, which gives y = p + 58.\n5. Substitute p = c + 12 to y, which gives y = c + 70.\n6. Substitute c = 9 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 19469,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 14; p = c + 12; c = 9; x = c + 8; y = d + 1; n = s + 20; f = o + 6; q = f + 4; b = n + 3; d = b + 20; i = e + 1; o = i + 5; e = x + 6. If c = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 5", "b": "c + 9", "u": "b + 18", "r": "u + 8", "h": "r + 3", "x": "h + 12", "s": "o + 7", "e": "s + 11", "g": "e + 16", "y": "g + 15", "j": "y + 20", "n": "j + 17", "o": 5}, "premises": {"o": 5}, "target": "x"}, "answer": {"steps": [["h", "r + 3", "r + 15"], ["r", "u + 8", "u + 23"], ["u", "b + 18", "b + 41"], ["b", "c + 9", "c + 50"], ["c", "o + 5", "o + 55"], ["o", 5, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"o": 5}, "is_reverse": true}} | 19,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 11; c = o + 5; x = h + 12; y = g + 15; b = c + 9; r = u + 8; g = e + 16; o = 5; s = o + 7; h = r + 3; u = b + 18; n = j + 17; j = y + 20. If o = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 3 to x, which gives x = r + 15.\n2. Substitute r = u + 8 to x, which gives x = u + 23.\n3. Substitute u = b + 18 to x, which gives x = b + 41.\n4. Substitute b = c + 9 to x, which gives x = c + 50.\n5. Substitute c = o + 5 to x, which gives x = o + 55.\n6. Substitute o = 5 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 19470,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 11; c = o + 5; x = h + 12; y = g + 15; b = c + 9; r = u + 8; g = e + 16; o = 5; s = o + 7; h = r + 3; u = b + 18; n = j + 17; j = y + 20. If o = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 17", "d": "o + 15", "i": "d + 9", "g": "i + 13", "t": "g + 13", "k": "t + 5", "v": "j + 9", "p": "v + 12", "f": "p + 11", "r": "f + 9", "q": "r + 7", "m": "q + 15", "j": 13}, "premises": {"j": 13}, "target": "k"}, "answer": {"steps": [["t", "g + 13", "g + 18"], ["g", "i + 13", "i + 31"], ["i", "d + 9", "d + 40"], ["d", "o + 15", "o + 55"], ["o", "j + 17", "j + 72"], ["j", 13, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"j": 13}, "is_reverse": true}} | 19,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = q + 15; q = r + 7; v = j + 9; g = i + 13; i = d + 9; p = v + 12; t = g + 13; f = p + 11; r = f + 9; j = 13; o = j + 17; k = t + 5; d = o + 15. Given that j = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 13 to k, which gives k = g + 18.\n2. Substitute g = i + 13 to k, which gives k = i + 31.\n3. Substitute i = d + 9 to k, which gives k = d + 40.\n4. Substitute d = o + 15 to k, which gives k = o + 55.\n5. Substitute o = j + 17 to k, which gives k = j + 72.\n6. Substitute j = 13 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 19471,
"question": "Suppose a collection of variables is related by the following definitions: m = q + 15; q = r + 7; v = j + 9; g = i + 13; i = d + 9; p = v + 12; t = g + 13; f = p + 11; r = f + 9; j = 13; o = j + 17; k = t + 5; d = o + 15. Given that j = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 14", "n": "s + 8", "r": "n + 8", "c": "r + 13", "m": "c + 16", "i": "m + 13", "f": "u + 10", "h": "f + 1", "w": "h + 12", "e": "w + 18", "x": "e + 16", "l": "x + 7", "u": 18}, "premises": {"u": 18}, "target": "i"}, "answer": {"steps": [["m", "c + 16", "c + 29"], ["c", "r + 13", "r + 42"], ["r", "n + 8", "n + 50"], ["n", "s + 8", "s + 58"], ["s", "u + 14", "u + 72"], ["u", 18, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"u": 18}, "is_reverse": true}} | 19,472 | 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 = w + 18; s = u + 14; h = f + 1; u = 18; c = r + 13; l = x + 7; i = m + 13; r = n + 8; w = h + 12; n = s + 8; x = e + 16; f = u + 10; m = c + 16. If u = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 16 to i, which gives i = c + 29.\n2. Substitute c = r + 13 to i, which gives i = r + 42.\n3. Substitute r = n + 8 to i, which gives i = n + 50.\n4. Substitute n = s + 8 to i, which gives i = s + 58.\n5. Substitute s = u + 14 to i, which gives i = u + 72.\n6. Substitute u = 18 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 19472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 18; s = u + 14; h = f + 1; u = 18; c = r + 13; l = x + 7; i = m + 13; r = n + 8; w = h + 12; n = s + 8; x = e + 16; f = u + 10; m = c + 16. If u = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 15", "l": "o + 19", "i": "l + 16", "d": "i + 5", "h": "d + 3", "z": "h + 19", "k": "v + 5", "j": "k + 4", "g": "j + 2", "p": "g + 14", "c": "p + 6", "b": "c + 3", "v": 7}, "premises": {"v": 7}, "target": "z"}, "answer": {"steps": [["h", "d + 3", "d + 22"], ["d", "i + 5", "i + 27"], ["i", "l + 16", "l + 43"], ["l", "o + 19", "o + 62"], ["o", "v + 15", "v + 77"], ["v", 7, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"v": 7}, "is_reverse": true}} | 19,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 3; o = v + 15; p = g + 14; i = l + 16; l = o + 19; j = k + 4; d = i + 5; b = c + 3; k = v + 5; c = p + 6; z = h + 19; v = 7; g = j + 2. If v = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 3 to z, which gives z = d + 22.\n2. Substitute d = i + 5 to z, which gives z = i + 27.\n3. Substitute i = l + 16 to z, which gives z = l + 43.\n4. Substitute l = o + 19 to z, which gives z = o + 62.\n5. Substitute o = v + 15 to z, which gives z = v + 77.\n6. Substitute v = 7 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 19473,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 3; o = v + 15; p = g + 14; i = l + 16; l = o + 19; j = k + 4; d = i + 5; b = c + 3; k = v + 5; c = p + 6; z = h + 19; v = 7; g = j + 2. If v = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 4", "a": "m + 11", "c": "a + 19", "z": "c + 3", "g": "z + 19", "h": "g + 15", "r": "w + 5", "o": "r + 13", "l": "o + 2", "t": "l + 14", "p": "t + 10", "u": "p + 4", "w": 3}, "premises": {"w": 3}, "target": "h"}, "answer": {"steps": [["g", "z + 19", "z + 34"], ["z", "c + 3", "c + 37"], ["c", "a + 19", "a + 56"], ["a", "m + 11", "m + 67"], ["m", "w + 4", "w + 71"], ["w", 3, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"w": 3}, "is_reverse": true}} | 19,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 3; p = t + 10; r = w + 5; h = g + 15; o = r + 13; u = p + 4; l = o + 2; z = c + 3; g = z + 19; a = m + 11; t = l + 14; c = a + 19; m = w + 4. If w = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 19 to h, which gives h = z + 34.\n2. Substitute z = c + 3 to h, which gives h = c + 37.\n3. Substitute c = a + 19 to h, which gives h = a + 56.\n4. Substitute a = m + 11 to h, which gives h = m + 67.\n5. Substitute m = w + 4 to h, which gives h = w + 71.\n6. Substitute w = 3 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 19474,
"question": "Consider a system of variables where each variable is defined as follows: w = 3; p = t + 10; r = w + 5; h = g + 15; o = r + 13; u = p + 4; l = o + 2; z = c + 3; g = z + 19; a = m + 11; t = l + 14; c = a + 19; m = w + 4. If w = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 9", "n": "t + 12", "g": "n + 18", "m": "g + 17", "v": "m + 5", "w": "v + 6", "a": "s + 1", "l": "a + 14", "b": "l + 6", "r": "b + 12", "q": "r + 5", "d": "q + 5", "s": 6}, "premises": {"s": 6}, "target": "w"}, "answer": {"steps": [["v", "m + 5", "m + 11"], ["m", "g + 17", "g + 28"], ["g", "n + 18", "n + 46"], ["n", "t + 12", "t + 58"], ["t", "s + 9", "s + 67"], ["s", 6, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"s": 6}, "is_reverse": true}} | 19,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 18; v = m + 5; n = t + 12; w = v + 6; b = l + 6; m = g + 17; r = b + 12; q = r + 5; l = a + 14; a = s + 1; t = s + 9; d = q + 5; s = 6. If s = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 5 to w, which gives w = m + 11.\n2. Substitute m = g + 17 to w, which gives w = g + 28.\n3. Substitute g = n + 18 to w, which gives w = n + 46.\n4. Substitute n = t + 12 to w, which gives w = t + 58.\n5. Substitute t = s + 9 to w, which gives w = s + 67.\n6. Substitute s = 6 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 19475,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 18; v = m + 5; n = t + 12; w = v + 6; b = l + 6; m = g + 17; r = b + 12; q = r + 5; l = a + 14; a = s + 1; t = s + 9; d = q + 5; s = 6. If s = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 19", "f": "j + 19", "n": "f + 15", "h": "n + 13", "b": "h + 12", "w": "b + 17", "u": "d + 6", "q": "u + 3", "i": "q + 13", "k": "i + 8", "a": "k + 5", "y": "a + 7", "d": 1}, "premises": {"d": 1}, "target": "w"}, "answer": {"steps": [["b", "h + 12", "h + 29"], ["h", "n + 13", "n + 42"], ["n", "f + 15", "f + 57"], ["f", "j + 19", "j + 76"], ["j", "d + 19", "d + 95"], ["d", 1, "96"]], "target_var_name": "w", "target_value": 96, "value_dict": {"d": 1}, "is_reverse": true}} | 19,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 17; j = d + 19; b = h + 12; d = 1; a = k + 5; y = a + 7; n = f + 15; q = u + 3; h = n + 13; i = q + 13; k = i + 8; u = d + 6; f = j + 19. If d = 1, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 12 to w, which gives w = h + 29.\n2. Substitute h = n + 13 to w, which gives w = n + 42.\n3. Substitute n = f + 15 to w, which gives w = f + 57.\n4. Substitute f = j + 19 to w, which gives w = j + 76.\n5. Substitute j = d + 19 to w, which gives w = d + 95.\n6. Substitute d = 1 to w, which gives w = 96.\n\nThus, the final answer is w = \\boxed{96}.",
"index": 19476,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 17; j = d + 19; b = h + 12; d = 1; a = k + 5; y = a + 7; n = f + 15; q = u + 3; h = n + 13; i = q + 13; k = i + 8; u = d + 6; f = j + 19. If d = 1, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 7", "a": "j + 14", "q": "a + 7", "o": "q + 5", "u": "o + 11", "w": "u + 12", "b": "l + 3", "d": "b + 16", "c": "d + 10", "r": "c + 13", "s": "r + 13", "v": "s + 8", "l": 1}, "premises": {"l": 1}, "target": "w"}, "answer": {"steps": [["u", "o + 11", "o + 23"], ["o", "q + 5", "q + 28"], ["q", "a + 7", "a + 35"], ["a", "j + 14", "j + 49"], ["j", "l + 7", "l + 56"], ["l", 1, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"l": 1}, "is_reverse": true}} | 19,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 7; w = u + 12; a = j + 14; s = r + 13; o = q + 5; l = 1; r = c + 13; u = o + 11; c = d + 10; d = b + 16; b = l + 3; v = s + 8; q = a + 7. Given that l = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 11 to w, which gives w = o + 23.\n2. Substitute o = q + 5 to w, which gives w = q + 28.\n3. Substitute q = a + 7 to w, which gives w = a + 35.\n4. Substitute a = j + 14 to w, which gives w = j + 49.\n5. Substitute j = l + 7 to w, which gives w = l + 56.\n6. Substitute l = 1 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 19477,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 7; w = u + 12; a = j + 14; s = r + 13; o = q + 5; l = 1; r = c + 13; u = o + 11; c = d + 10; d = b + 16; b = l + 3; v = s + 8; q = a + 7. Given that l = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 12", "x": "z + 4", "s": "x + 3", "o": "s + 15", "k": "o + 14", "c": "k + 6", "w": "q + 15", "f": "w + 4", "a": "f + 11", "v": "a + 19", "e": "v + 7", "d": "e + 16", "q": 6}, "premises": {"q": 6}, "target": "c"}, "answer": {"steps": [["k", "o + 14", "o + 20"], ["o", "s + 15", "s + 35"], ["s", "x + 3", "x + 38"], ["x", "z + 4", "z + 42"], ["z", "q + 12", "q + 54"], ["q", 6, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"q": 6}, "is_reverse": true}} | 19,478 | 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 = k + 6; x = z + 4; z = q + 12; a = f + 11; v = a + 19; k = o + 14; q = 6; w = q + 15; d = e + 16; s = x + 3; f = w + 4; o = s + 15; e = v + 7. If q = 6, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 14 to c, which gives c = o + 20.\n2. Substitute o = s + 15 to c, which gives c = s + 35.\n3. Substitute s = x + 3 to c, which gives c = x + 38.\n4. Substitute x = z + 4 to c, which gives c = z + 42.\n5. Substitute z = q + 12 to c, which gives c = q + 54.\n6. Substitute q = 6 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 19478,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 6; x = z + 4; z = q + 12; a = f + 11; v = a + 19; k = o + 14; q = 6; w = q + 15; d = e + 16; s = x + 3; f = w + 4; o = s + 15; e = v + 7. If q = 6, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "w + 16", "q": "k + 5", "j": "q + 3", "t": "j + 19", "h": "t + 19", "e": "h + 9", "a": "w + 14", "x": "a + 18", "o": "x + 15", "s": "o + 4", "c": "s + 13", "y": "c + 15", "w": 16}, "premises": {"w": 16}, "target": "e"}, "answer": {"steps": [["h", "t + 19", "t + 28"], ["t", "j + 19", "j + 47"], ["j", "q + 3", "q + 50"], ["q", "k + 5", "k + 55"], ["k", "w + 16", "w + 71"], ["w", 16, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"w": 16}, "is_reverse": true}} | 19,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 4; k = w + 16; o = x + 15; w = 16; t = j + 19; j = q + 3; y = c + 15; c = s + 13; x = a + 18; h = t + 19; e = h + 9; a = w + 14; q = k + 5. Given that w = 16, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 19 to e, which gives e = t + 28.\n2. Substitute t = j + 19 to e, which gives e = j + 47.\n3. Substitute j = q + 3 to e, which gives e = q + 50.\n4. Substitute q = k + 5 to e, which gives e = k + 55.\n5. Substitute k = w + 16 to e, which gives e = w + 71.\n6. Substitute w = 16 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 19479,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 4; k = w + 16; o = x + 15; w = 16; t = j + 19; j = q + 3; y = c + 15; c = s + 13; x = a + 18; h = t + 19; e = h + 9; a = w + 14; q = k + 5. Given that w = 16, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 17", "a": "p + 5", "n": "a + 2", "h": "n + 9", "b": "h + 9", "c": "b + 18", "f": "r + 10", "y": "f + 18", "l": "y + 3", "v": "l + 10", "j": "v + 6", "w": "j + 7", "r": 18}, "premises": {"r": 18}, "target": "c"}, "answer": {"steps": [["b", "h + 9", "h + 27"], ["h", "n + 9", "n + 36"], ["n", "a + 2", "a + 38"], ["a", "p + 5", "p + 43"], ["p", "r + 17", "r + 60"], ["r", 18, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"r": 18}, "is_reverse": true}} | 19,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 10; l = y + 3; w = j + 7; h = n + 9; p = r + 17; a = p + 5; f = r + 10; r = 18; j = v + 6; b = h + 9; c = b + 18; y = f + 18; n = a + 2. If r = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 9 to c, which gives c = h + 27.\n2. Substitute h = n + 9 to c, which gives c = n + 36.\n3. Substitute n = a + 2 to c, which gives c = a + 38.\n4. Substitute a = p + 5 to c, which gives c = p + 43.\n5. Substitute p = r + 17 to c, which gives c = r + 60.\n6. Substitute r = 18 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 19480,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 10; l = y + 3; w = j + 7; h = n + 9; p = r + 17; a = p + 5; f = r + 10; r = 18; j = v + 6; b = h + 9; c = b + 18; y = f + 18; n = a + 2. If r = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 4", "x": "i + 8", "h": "x + 7", "b": "h + 17", "f": "b + 14", "w": "f + 10", "n": "t + 7", "l": "n + 2", "a": "l + 12", "r": "a + 15", "v": "r + 1", "k": "v + 2", "t": 3}, "premises": {"t": 3}, "target": "w"}, "answer": {"steps": [["f", "b + 14", "b + 24"], ["b", "h + 17", "h + 41"], ["h", "x + 7", "x + 48"], ["x", "i + 8", "i + 56"], ["i", "t + 4", "t + 60"], ["t", 3, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"t": 3}, "is_reverse": true}} | 19,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = h + 17; f = b + 14; l = n + 2; r = a + 15; a = l + 12; i = t + 4; x = i + 8; k = v + 2; w = f + 10; h = x + 7; v = r + 1; n = t + 7; t = 3. If t = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 14 to w, which gives w = b + 24.\n2. Substitute b = h + 17 to w, which gives w = h + 41.\n3. Substitute h = x + 7 to w, which gives w = x + 48.\n4. Substitute x = i + 8 to w, which gives w = i + 56.\n5. Substitute i = t + 4 to w, which gives w = t + 60.\n6. Substitute t = 3 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 19481,
"question": "Consider a system of variables where each variable is defined as follows: b = h + 17; f = b + 14; l = n + 2; r = a + 15; a = l + 12; i = t + 4; x = i + 8; k = v + 2; w = f + 10; h = x + 7; v = r + 1; n = t + 7; t = 3. If t = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 9", "n": "q + 1", "l": "n + 13", "a": "l + 17", "o": "a + 8", "r": "o + 14", "b": "f + 10", "e": "b + 2", "p": "e + 15", "h": "p + 6", "k": "h + 18", "y": "k + 15", "f": 1}, "premises": {"f": 1}, "target": "r"}, "answer": {"steps": [["o", "a + 8", "a + 22"], ["a", "l + 17", "l + 39"], ["l", "n + 13", "n + 52"], ["n", "q + 1", "q + 53"], ["q", "f + 9", "f + 62"], ["f", 1, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"f": 1}, "is_reverse": true}} | 19,482 | 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 = o + 14; b = f + 10; q = f + 9; l = n + 13; f = 1; a = l + 17; y = k + 15; e = b + 2; k = h + 18; h = p + 6; n = q + 1; o = a + 8; p = e + 15. If f = 1, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 8 to r, which gives r = a + 22.\n2. Substitute a = l + 17 to r, which gives r = l + 39.\n3. Substitute l = n + 13 to r, which gives r = n + 52.\n4. Substitute n = q + 1 to r, which gives r = q + 53.\n5. Substitute q = f + 9 to r, which gives r = f + 62.\n6. Substitute f = 1 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 19482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 14; b = f + 10; q = f + 9; l = n + 13; f = 1; a = l + 17; y = k + 15; e = b + 2; k = h + 18; h = p + 6; n = q + 1; o = a + 8; p = e + 15. If f = 1, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 20", "i": "j + 3", "r": "i + 10", "c": "r + 3", "h": "c + 12", "l": "h + 15", "g": "x + 17", "d": "g + 13", "s": "d + 10", "m": "s + 12", "n": "m + 6", "e": "n + 2", "x": 15}, "premises": {"x": 15}, "target": "l"}, "answer": {"steps": [["h", "c + 12", "c + 27"], ["c", "r + 3", "r + 30"], ["r", "i + 10", "i + 40"], ["i", "j + 3", "j + 43"], ["j", "x + 20", "x + 63"], ["x", 15, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"x": 15}, "is_reverse": true}} | 19,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = i + 10; m = s + 12; e = n + 2; i = j + 3; h = c + 12; x = 15; d = g + 13; l = h + 15; n = m + 6; j = x + 20; g = x + 17; s = d + 10; c = r + 3. Given that x = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 12 to l, which gives l = c + 27.\n2. Substitute c = r + 3 to l, which gives l = r + 30.\n3. Substitute r = i + 10 to l, which gives l = i + 40.\n4. Substitute i = j + 3 to l, which gives l = j + 43.\n5. Substitute j = x + 20 to l, which gives l = x + 63.\n6. Substitute x = 15 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 19483,
"question": "Suppose a collection of variables is related by the following definitions: r = i + 10; m = s + 12; e = n + 2; i = j + 3; h = c + 12; x = 15; d = g + 13; l = h + 15; n = m + 6; j = x + 20; g = x + 17; s = d + 10; c = r + 3. Given that x = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 14", "c": "s + 7", "h": "c + 13", "e": "h + 12", "l": "e + 17", "z": "l + 13", "v": "f + 7", "y": "v + 13", "q": "y + 16", "r": "q + 9", "u": "r + 11", "j": "u + 16", "f": 7}, "premises": {"f": 7}, "target": "z"}, "answer": {"steps": [["l", "e + 17", "e + 30"], ["e", "h + 12", "h + 42"], ["h", "c + 13", "c + 55"], ["c", "s + 7", "s + 62"], ["s", "f + 14", "f + 76"], ["f", 7, "83"]], "target_var_name": "z", "target_value": 83, "value_dict": {"f": 7}, "is_reverse": true}} | 19,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 13; u = r + 11; r = q + 9; j = u + 16; s = f + 14; c = s + 7; e = h + 12; f = 7; q = y + 16; v = f + 7; l = e + 17; y = v + 13; h = c + 13. If f = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 17 to z, which gives z = e + 30.\n2. Substitute e = h + 12 to z, which gives z = h + 42.\n3. Substitute h = c + 13 to z, which gives z = c + 55.\n4. Substitute c = s + 7 to z, which gives z = s + 62.\n5. Substitute s = f + 14 to z, which gives z = f + 76.\n6. Substitute f = 7 to z, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 19484,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 13; u = r + 11; r = q + 9; j = u + 16; s = f + 14; c = s + 7; e = h + 12; f = 7; q = y + 16; v = f + 7; l = e + 17; y = v + 13; h = c + 13. If f = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 20", "d": "s + 3", "k": "d + 17", "u": "k + 9", "e": "u + 1", "h": "e + 20", "m": "w + 2", "q": "m + 7", "g": "q + 17", "r": "g + 11", "x": "r + 19", "i": "x + 15", "w": 12}, "premises": {"w": 12}, "target": "h"}, "answer": {"steps": [["e", "u + 1", "u + 21"], ["u", "k + 9", "k + 30"], ["k", "d + 17", "d + 47"], ["d", "s + 3", "s + 50"], ["s", "w + 20", "w + 70"], ["w", 12, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"w": 12}, "is_reverse": true}} | 19,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 20; x = r + 19; i = x + 15; k = d + 17; r = g + 11; m = w + 2; u = k + 9; q = m + 7; w = 12; g = q + 17; d = s + 3; s = w + 20; e = u + 1. If w = 12, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 1 to h, which gives h = u + 21.\n2. Substitute u = k + 9 to h, which gives h = k + 30.\n3. Substitute k = d + 17 to h, which gives h = d + 47.\n4. Substitute d = s + 3 to h, which gives h = s + 50.\n5. Substitute s = w + 20 to h, which gives h = w + 70.\n6. Substitute w = 12 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 19485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 20; x = r + 19; i = x + 15; k = d + 17; r = g + 11; m = w + 2; u = k + 9; q = m + 7; w = 12; g = q + 17; d = s + 3; s = w + 20; e = u + 1. If w = 12, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 20", "g": "x + 12", "w": "g + 3", "m": "w + 12", "q": "m + 18", "u": "q + 18", "h": "s + 15", "d": "h + 2", "f": "d + 3", "p": "f + 12", "a": "p + 13", "v": "a + 20", "s": 10}, "premises": {"s": 10}, "target": "u"}, "answer": {"steps": [["q", "m + 18", "m + 36"], ["m", "w + 12", "w + 48"], ["w", "g + 3", "g + 51"], ["g", "x + 12", "x + 63"], ["x", "s + 20", "s + 83"], ["s", 10, "93"]], "target_var_name": "u", "target_value": 93, "value_dict": {"s": 10}, "is_reverse": true}} | 19,486 | 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 = w + 12; v = a + 20; d = h + 2; x = s + 20; q = m + 18; g = x + 12; p = f + 12; u = q + 18; w = g + 3; s = 10; h = s + 15; a = p + 13; f = d + 3. If s = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 18 to u, which gives u = m + 36.\n2. Substitute m = w + 12 to u, which gives u = w + 48.\n3. Substitute w = g + 3 to u, which gives u = g + 51.\n4. Substitute g = x + 12 to u, which gives u = x + 63.\n5. Substitute x = s + 20 to u, which gives u = s + 83.\n6. Substitute s = 10 to u, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 19486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 12; v = a + 20; d = h + 2; x = s + 20; q = m + 18; g = x + 12; p = f + 12; u = q + 18; w = g + 3; s = 10; h = s + 15; a = p + 13; f = d + 3. If s = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 12", "w": "s + 3", "o": "w + 11", "t": "o + 8", "a": "t + 6", "z": "a + 8", "h": "l + 17", "k": "h + 14", "b": "k + 8", "r": "b + 11", "m": "r + 4", "g": "m + 5", "l": 20}, "premises": {"l": 20}, "target": "z"}, "answer": {"steps": [["a", "t + 6", "t + 14"], ["t", "o + 8", "o + 22"], ["o", "w + 11", "w + 33"], ["w", "s + 3", "s + 36"], ["s", "l + 12", "l + 48"], ["l", 20, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"l": 20}, "is_reverse": true}} | 19,487 | 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 = b + 11; o = w + 11; z = a + 8; t = o + 8; m = r + 4; w = s + 3; g = m + 5; h = l + 17; s = l + 12; l = 20; b = k + 8; k = h + 14; a = t + 6. If l = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 6 to z, which gives z = t + 14.\n2. Substitute t = o + 8 to z, which gives z = o + 22.\n3. Substitute o = w + 11 to z, which gives z = w + 33.\n4. Substitute w = s + 3 to z, which gives z = s + 36.\n5. Substitute s = l + 12 to z, which gives z = l + 48.\n6. Substitute l = 20 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 19487,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 11; o = w + 11; z = a + 8; t = o + 8; m = r + 4; w = s + 3; g = m + 5; h = l + 17; s = l + 12; l = 20; b = k + 8; k = h + 14; a = t + 6. If l = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 5", "t": "d + 6", "p": "t + 10", "o": "p + 3", "u": "o + 11", "w": "u + 5", "q": "k + 1", "y": "q + 19", "l": "y + 1", "m": "l + 16", "i": "m + 12", "n": "i + 3", "k": 10}, "premises": {"k": 10}, "target": "w"}, "answer": {"steps": [["u", "o + 11", "o + 16"], ["o", "p + 3", "p + 19"], ["p", "t + 10", "t + 29"], ["t", "d + 6", "d + 35"], ["d", "k + 5", "k + 40"], ["k", 10, "50"]], "target_var_name": "w", "target_value": 50, "value_dict": {"k": 10}, "is_reverse": true}} | 19,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 3; k = 10; i = m + 12; l = y + 1; w = u + 5; m = l + 16; y = q + 19; u = o + 11; p = t + 10; t = d + 6; o = p + 3; q = k + 1; d = k + 5. Given that k = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 11 to w, which gives w = o + 16.\n2. Substitute o = p + 3 to w, which gives w = p + 19.\n3. Substitute p = t + 10 to w, which gives w = t + 29.\n4. Substitute t = d + 6 to w, which gives w = d + 35.\n5. Substitute d = k + 5 to w, which gives w = k + 40.\n6. Substitute k = 10 to w, which gives w = 50.\n\nThus, the final answer is w = \\boxed{50}.",
"index": 19488,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 3; k = 10; i = m + 12; l = y + 1; w = u + 5; m = l + 16; y = q + 19; u = o + 11; p = t + 10; t = d + 6; o = p + 3; q = k + 1; d = k + 5. Given that k = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 17", "s": "p + 10", "f": "s + 1", "v": "f + 2", "d": "v + 9", "n": "d + 18", "i": "l + 20", "g": "i + 5", "o": "g + 16", "c": "o + 7", "j": "c + 6", "z": "j + 7", "l": 19}, "premises": {"l": 19}, "target": "n"}, "answer": {"steps": [["d", "v + 9", "v + 27"], ["v", "f + 2", "f + 29"], ["f", "s + 1", "s + 30"], ["s", "p + 10", "p + 40"], ["p", "l + 17", "l + 57"], ["l", 19, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"l": 19}, "is_reverse": true}} | 19,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 1; c = o + 7; d = v + 9; o = g + 16; j = c + 6; n = d + 18; i = l + 20; g = i + 5; z = j + 7; v = f + 2; l = 19; s = p + 10; p = l + 17. If l = 19, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = v + 9 to n, which gives n = v + 27.\n2. Substitute v = f + 2 to n, which gives n = f + 29.\n3. Substitute f = s + 1 to n, which gives n = s + 30.\n4. Substitute s = p + 10 to n, which gives n = p + 40.\n5. Substitute p = l + 17 to n, which gives n = l + 57.\n6. Substitute l = 19 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 19489,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 1; c = o + 7; d = v + 9; o = g + 16; j = c + 6; n = d + 18; i = l + 20; g = i + 5; z = j + 7; v = f + 2; l = 19; s = p + 10; p = l + 17. If l = 19, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 13", "m": "o + 19", "b": "m + 20", "r": "b + 10", "y": "r + 7", "h": "y + 5", "w": "a + 1", "n": "w + 14", "j": "n + 6", "v": "j + 17", "l": "v + 18", "p": "l + 5", "a": 8}, "premises": {"a": 8}, "target": "h"}, "answer": {"steps": [["y", "r + 7", "r + 12"], ["r", "b + 10", "b + 22"], ["b", "m + 20", "m + 42"], ["m", "o + 19", "o + 61"], ["o", "a + 13", "a + 74"], ["a", 8, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"a": 8}, "is_reverse": true}} | 19,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 5; o = a + 13; j = n + 6; a = 8; y = r + 7; w = a + 1; v = j + 17; n = w + 14; m = o + 19; r = b + 10; l = v + 18; p = l + 5; b = m + 20. Given that a = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 7 to h, which gives h = r + 12.\n2. Substitute r = b + 10 to h, which gives h = b + 22.\n3. Substitute b = m + 20 to h, which gives h = m + 42.\n4. Substitute m = o + 19 to h, which gives h = o + 61.\n5. Substitute o = a + 13 to h, which gives h = a + 74.\n6. Substitute a = 8 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 19490,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 5; o = a + 13; j = n + 6; a = 8; y = r + 7; w = a + 1; v = j + 17; n = w + 14; m = o + 19; r = b + 10; l = v + 18; p = l + 5; b = m + 20. Given that a = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 12", "b": "f + 2", "x": "b + 13", "c": "x + 16", "d": "c + 5", "p": "d + 15", "n": "s + 13", "v": "n + 14", "r": "v + 10", "h": "r + 12", "o": "h + 5", "i": "o + 10", "s": 2}, "premises": {"s": 2}, "target": "p"}, "answer": {"steps": [["d", "c + 5", "c + 20"], ["c", "x + 16", "x + 36"], ["x", "b + 13", "b + 49"], ["b", "f + 2", "f + 51"], ["f", "s + 12", "s + 63"], ["s", 2, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"s": 2}, "is_reverse": true}} | 19,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 5; v = n + 14; f = s + 12; s = 2; p = d + 15; x = b + 13; b = f + 2; r = v + 10; h = r + 12; c = x + 16; n = s + 13; d = c + 5; i = o + 10. If s = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 5 to p, which gives p = c + 20.\n2. Substitute c = x + 16 to p, which gives p = x + 36.\n3. Substitute x = b + 13 to p, which gives p = b + 49.\n4. Substitute b = f + 2 to p, which gives p = f + 51.\n5. Substitute f = s + 12 to p, which gives p = s + 63.\n6. Substitute s = 2 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 19491,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 5; v = n + 14; f = s + 12; s = 2; p = d + 15; x = b + 13; b = f + 2; r = v + 10; h = r + 12; c = x + 16; n = s + 13; d = c + 5; i = o + 10. If s = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 18", "u": "h + 15", "j": "u + 2", "v": "j + 11", "e": "v + 6", "i": "e + 8", "m": "f + 19", "o": "m + 11", "t": "o + 16", "k": "t + 18", "a": "k + 3", "z": "a + 8", "f": 17}, "premises": {"f": 17}, "target": "i"}, "answer": {"steps": [["e", "v + 6", "v + 14"], ["v", "j + 11", "j + 25"], ["j", "u + 2", "u + 27"], ["u", "h + 15", "h + 42"], ["h", "f + 18", "f + 60"], ["f", 17, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"f": 17}, "is_reverse": true}} | 19,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 18; m = f + 19; t = o + 16; u = h + 15; e = v + 6; v = j + 11; j = u + 2; o = m + 11; i = e + 8; f = 17; a = k + 3; k = t + 18; z = a + 8. If f = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 6 to i, which gives i = v + 14.\n2. Substitute v = j + 11 to i, which gives i = j + 25.\n3. Substitute j = u + 2 to i, which gives i = u + 27.\n4. Substitute u = h + 15 to i, which gives i = h + 42.\n5. Substitute h = f + 18 to i, which gives i = f + 60.\n6. Substitute f = 17 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 19492,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 18; m = f + 19; t = o + 16; u = h + 15; e = v + 6; v = j + 11; j = u + 2; o = m + 11; i = e + 8; f = 17; a = k + 3; k = t + 18; z = a + 8. If f = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 9", "n": "p + 17", "y": "n + 7", "m": "y + 3", "t": "m + 11", "s": "t + 12", "j": "w + 10", "i": "j + 18", "o": "i + 4", "v": "o + 8", "k": "v + 6", "h": "k + 18", "w": 9}, "premises": {"w": 9}, "target": "s"}, "answer": {"steps": [["t", "m + 11", "m + 23"], ["m", "y + 3", "y + 26"], ["y", "n + 7", "n + 33"], ["n", "p + 17", "p + 50"], ["p", "w + 9", "w + 59"], ["w", 9, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"w": 9}, "is_reverse": true}} | 19,493 | 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 + 4; m = y + 3; i = j + 18; t = m + 11; h = k + 18; s = t + 12; v = o + 8; k = v + 6; y = n + 7; j = w + 10; n = p + 17; w = 9; p = w + 9. If w = 9, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 11 to s, which gives s = m + 23.\n2. Substitute m = y + 3 to s, which gives s = y + 26.\n3. Substitute y = n + 7 to s, which gives s = n + 33.\n4. Substitute n = p + 17 to s, which gives s = p + 50.\n5. Substitute p = w + 9 to s, which gives s = w + 59.\n6. Substitute w = 9 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 19493,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 4; m = y + 3; i = j + 18; t = m + 11; h = k + 18; s = t + 12; v = o + 8; k = v + 6; y = n + 7; j = w + 10; n = p + 17; w = 9; p = w + 9. If w = 9, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 15", "y": "v + 3", "q": "y + 18", "u": "q + 11", "g": "u + 16", "i": "g + 2", "j": "o + 11", "z": "j + 17", "l": "z + 15", "r": "l + 20", "f": "r + 14", "a": "f + 12", "o": 20}, "premises": {"o": 20}, "target": "i"}, "answer": {"steps": [["g", "u + 16", "u + 18"], ["u", "q + 11", "q + 29"], ["q", "y + 18", "y + 47"], ["y", "v + 3", "v + 50"], ["v", "o + 15", "o + 65"], ["o", 20, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"o": 20}, "is_reverse": true}} | 19,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 17; u = q + 11; g = u + 16; v = o + 15; y = v + 3; o = 20; l = z + 15; i = g + 2; j = o + 11; r = l + 20; f = r + 14; q = y + 18; a = f + 12. If o = 20, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 16 to i, which gives i = u + 18.\n2. Substitute u = q + 11 to i, which gives i = q + 29.\n3. Substitute q = y + 18 to i, which gives i = y + 47.\n4. Substitute y = v + 3 to i, which gives i = v + 50.\n5. Substitute v = o + 15 to i, which gives i = o + 65.\n6. Substitute o = 20 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 19494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 17; u = q + 11; g = u + 16; v = o + 15; y = v + 3; o = 20; l = z + 15; i = g + 2; j = o + 11; r = l + 20; f = r + 14; q = y + 18; a = f + 12. If o = 20, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 13", "y": "r + 5", "f": "y + 4", "w": "f + 11", "j": "w + 8", "i": "j + 10", "l": "b + 7", "u": "l + 6", "p": "u + 20", "a": "p + 19", "v": "a + 3", "h": "v + 7", "b": 17}, "premises": {"b": 17}, "target": "i"}, "answer": {"steps": [["j", "w + 8", "w + 18"], ["w", "f + 11", "f + 29"], ["f", "y + 4", "y + 33"], ["y", "r + 5", "r + 38"], ["r", "b + 13", "b + 51"], ["b", 17, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"b": 17}, "is_reverse": true}} | 19,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 7; f = y + 4; y = r + 5; v = a + 3; u = l + 6; j = w + 8; b = 17; a = p + 19; i = j + 10; r = b + 13; w = f + 11; p = u + 20; h = v + 7. Given that b = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 8 to i, which gives i = w + 18.\n2. Substitute w = f + 11 to i, which gives i = f + 29.\n3. Substitute f = y + 4 to i, which gives i = y + 33.\n4. Substitute y = r + 5 to i, which gives i = r + 38.\n5. Substitute r = b + 13 to i, which gives i = b + 51.\n6. Substitute b = 17 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 19495,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 7; f = y + 4; y = r + 5; v = a + 3; u = l + 6; j = w + 8; b = 17; a = p + 19; i = j + 10; r = b + 13; w = f + 11; p = u + 20; h = v + 7. Given that b = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 18", "h": "w + 14", "j": "h + 5", "y": "j + 7", "p": "y + 14", "v": "p + 4", "i": "m + 20", "n": "i + 13", "o": "n + 6", "u": "o + 11", "e": "u + 12", "f": "e + 17", "m": 14}, "premises": {"m": 14}, "target": "v"}, "answer": {"steps": [["p", "y + 14", "y + 18"], ["y", "j + 7", "j + 25"], ["j", "h + 5", "h + 30"], ["h", "w + 14", "w + 44"], ["w", "m + 18", "m + 62"], ["m", 14, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"m": 14}, "is_reverse": true}} | 19,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 13; i = m + 20; y = j + 7; u = o + 11; w = m + 18; f = e + 17; j = h + 5; e = u + 12; m = 14; v = p + 4; o = n + 6; p = y + 14; h = w + 14. Given that m = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 14 to v, which gives v = y + 18.\n2. Substitute y = j + 7 to v, which gives v = j + 25.\n3. Substitute j = h + 5 to v, which gives v = h + 30.\n4. Substitute h = w + 14 to v, which gives v = w + 44.\n5. Substitute w = m + 18 to v, which gives v = m + 62.\n6. Substitute m = 14 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 19496,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 13; i = m + 20; y = j + 7; u = o + 11; w = m + 18; f = e + 17; j = h + 5; e = u + 12; m = 14; v = p + 4; o = n + 6; p = y + 14; h = w + 14. Given that m = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 13", "t": "e + 5", "j": "t + 14", "s": "j + 7", "p": "s + 3", "i": "p + 20", "x": "a + 13", "h": "x + 10", "q": "h + 8", "o": "q + 12", "d": "o + 16", "y": "d + 5", "a": 16}, "premises": {"a": 16}, "target": "i"}, "answer": {"steps": [["p", "s + 3", "s + 23"], ["s", "j + 7", "j + 30"], ["j", "t + 14", "t + 44"], ["t", "e + 5", "e + 49"], ["e", "a + 13", "a + 62"], ["a", 16, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"a": 16}, "is_reverse": true}} | 19,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 13; p = s + 3; t = e + 5; d = o + 16; q = h + 8; i = p + 20; j = t + 14; a = 16; s = j + 7; x = a + 13; y = d + 5; h = x + 10; o = q + 12. Given that a = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 3 to i, which gives i = s + 23.\n2. Substitute s = j + 7 to i, which gives i = j + 30.\n3. Substitute j = t + 14 to i, which gives i = t + 44.\n4. Substitute t = e + 5 to i, which gives i = e + 49.\n5. Substitute e = a + 13 to i, which gives i = a + 62.\n6. Substitute a = 16 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 19497,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 13; p = s + 3; t = e + 5; d = o + 16; q = h + 8; i = p + 20; j = t + 14; a = 16; s = j + 7; x = a + 13; y = d + 5; h = x + 10; o = q + 12. Given that a = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 12", "u": "r + 5", "c": "u + 18", "o": "c + 10", "i": "o + 3", "z": "i + 5", "a": "m + 9", "v": "a + 11", "l": "v + 5", "y": "l + 3", "e": "y + 19", "x": "e + 8", "m": 3}, "premises": {"m": 3}, "target": "z"}, "answer": {"steps": [["i", "o + 3", "o + 8"], ["o", "c + 10", "c + 18"], ["c", "u + 18", "u + 36"], ["u", "r + 5", "r + 41"], ["r", "m + 12", "m + 53"], ["m", 3, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"m": 3}, "is_reverse": true}} | 19,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 5; e = y + 19; l = v + 5; v = a + 11; x = e + 8; o = c + 10; y = l + 3; z = i + 5; m = 3; a = m + 9; r = m + 12; i = o + 3; c = u + 18. If m = 3, 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 i = o + 3 to z, which gives z = o + 8.\n2. Substitute o = c + 10 to z, which gives z = c + 18.\n3. Substitute c = u + 18 to z, which gives z = u + 36.\n4. Substitute u = r + 5 to z, which gives z = r + 41.\n5. Substitute r = m + 12 to z, which gives z = m + 53.\n6. Substitute m = 3 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 19498,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 5; e = y + 19; l = v + 5; v = a + 11; x = e + 8; o = c + 10; y = l + 3; z = i + 5; m = 3; a = m + 9; r = m + 12; i = o + 3; c = u + 18. If m = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 16", "k": "a + 14", "b": "k + 12", "w": "b + 16", "g": "w + 20", "c": "g + 5", "y": "t + 11", "x": "y + 14", "v": "x + 13", "d": "v + 20", "f": "d + 18", "p": "f + 4", "t": 12}, "premises": {"t": 12}, "target": "c"}, "answer": {"steps": [["g", "w + 20", "w + 25"], ["w", "b + 16", "b + 41"], ["b", "k + 12", "k + 53"], ["k", "a + 14", "a + 67"], ["a", "t + 16", "t + 83"], ["t", 12, "95"]], "target_var_name": "c", "target_value": 95, "value_dict": {"t": 12}, "is_reverse": true}} | 19,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 20; v = x + 13; p = f + 4; k = a + 14; x = y + 14; w = b + 16; t = 12; b = k + 12; a = t + 16; y = t + 11; d = v + 20; f = d + 18; c = g + 5. If t = 12, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 20 to c, which gives c = w + 25.\n2. Substitute w = b + 16 to c, which gives c = b + 41.\n3. Substitute b = k + 12 to c, which gives c = k + 53.\n4. Substitute k = a + 14 to c, which gives c = a + 67.\n5. Substitute a = t + 16 to c, which gives c = t + 83.\n6. Substitute t = 12 to c, which gives c = 95.\n\nThus, the final answer is c = \\boxed{95}.",
"index": 19499,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 20; v = x + 13; p = f + 4; k = a + 14; x = y + 14; w = b + 16; t = 12; b = k + 12; a = t + 16; y = t + 11; d = v + 20; f = d + 18; c = g + 5. If t = 12, determine the value of c.",
"split": "train"
} |
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