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": {"o": "x + 2", "c": "o + 11", "y": "c + 8", "q": "y + 10", "t": "q + 8", "u": "t + 8", "s": "x + 8", "r": "s + 12", "k": "r + 10", "m": "k + 6", "v": "m + 14", "f": "v + 1", "x": 2}, "premises": {"x": 2}, "target": "u"}, "answer": {"steps": [["t", "q + 8", "q + 16"], ["q", "y + 10", "y + 26"], ["y", "c + 8", "c + 34"], ["c", "o + 11", "o + 45"], ["o", "x + 2", "x + 47"], ["x", 2, "49"]], "target_var_name": "u", "target_value": 49, "value_dict": {"x": 2}, "is_reverse": true}} | 6,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = c + 8; f = v + 1; o = x + 2; k = r + 10; v = m + 14; q = y + 10; x = 2; c = o + 11; s = x + 8; m = k + 6; u = t + 8; r = s + 12; t = q + 8. Given that x = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 8 to u, which gives u = q + 16.\n2. Substitute q = y + 10 to u, which gives u = y + 26.\n3. Substitute y = c + 8 to u, which gives u = c + 34.\n4. Substitute c = o + 11 to u, which gives u = o + 45.\n5. Substitute o = x + 2 to u, which gives u = x + 47.\n6. Substitute x = 2 to u, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 6400,
"question": "Suppose a collection of variables is related by the following definitions: y = c + 8; f = v + 1; o = x + 2; k = r + 10; v = m + 14; q = y + 10; x = 2; c = o + 11; s = x + 8; m = k + 6; u = t + 8; r = s + 12; t = q + 8. Given that x = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 12", "v": "g + 3", "i": "v + 14", "d": "i + 18", "z": "d + 8", "x": "z + 14", "o": "q + 4", "s": "o + 1", "c": "s + 20", "j": "c + 1", "y": "j + 19", "e": "y + 13", "q": 16}, "premises": {"q": 16}, "target": "x"}, "answer": {"steps": [["z", "d + 8", "d + 22"], ["d", "i + 18", "i + 40"], ["i", "v + 14", "v + 54"], ["v", "g + 3", "g + 57"], ["g", "q + 12", "q + 69"], ["q", 16, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"q": 16}, "is_reverse": true}} | 6,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 16; s = o + 1; i = v + 14; d = i + 18; x = z + 14; o = q + 4; z = d + 8; c = s + 20; e = y + 13; g = q + 12; j = c + 1; y = j + 19; v = g + 3. If q = 16, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 8 to x, which gives x = d + 22.\n2. Substitute d = i + 18 to x, which gives x = i + 40.\n3. Substitute i = v + 14 to x, which gives x = v + 54.\n4. Substitute v = g + 3 to x, which gives x = g + 57.\n5. Substitute g = q + 12 to x, which gives x = q + 69.\n6. Substitute q = 16 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 6401,
"question": "Consider a system of variables where each variable is defined as follows: q = 16; s = o + 1; i = v + 14; d = i + 18; x = z + 14; o = q + 4; z = d + 8; c = s + 20; e = y + 13; g = q + 12; j = c + 1; y = j + 19; v = g + 3. If q = 16, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 16", "s": "g + 8", "q": "s + 7", "f": "q + 17", "e": "f + 3", "z": "e + 12", "m": "d + 2", "o": "m + 15", "y": "o + 9", "p": "y + 7", "l": "p + 11", "c": "l + 20", "d": 5}, "premises": {"d": 5}, "target": "z"}, "answer": {"steps": [["e", "f + 3", "f + 15"], ["f", "q + 17", "q + 32"], ["q", "s + 7", "s + 39"], ["s", "g + 8", "g + 47"], ["g", "d + 16", "d + 63"], ["d", 5, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"d": 5}, "is_reverse": true}} | 6,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = e + 12; o = m + 15; l = p + 11; g = d + 16; e = f + 3; y = o + 9; s = g + 8; f = q + 17; p = y + 7; q = s + 7; d = 5; m = d + 2; c = l + 20. Given that d = 5, find the 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 e = f + 3 to z, which gives z = f + 15.\n2. Substitute f = q + 17 to z, which gives z = q + 32.\n3. Substitute q = s + 7 to z, which gives z = s + 39.\n4. Substitute s = g + 8 to z, which gives z = g + 47.\n5. Substitute g = d + 16 to z, which gives z = d + 63.\n6. Substitute d = 5 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 6402,
"question": "Suppose a collection of variables is related by the following definitions: z = e + 12; o = m + 15; l = p + 11; g = d + 16; e = f + 3; y = o + 9; s = g + 8; f = q + 17; p = y + 7; q = s + 7; d = 5; m = d + 2; c = l + 20. Given that d = 5, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 13", "u": "z + 4", "c": "u + 6", "w": "c + 1", "y": "w + 18", "h": "y + 7", "m": "a + 9", "e": "m + 7", "r": "e + 13", "j": "r + 19", "i": "j + 15", "q": "i + 6", "a": 19}, "premises": {"a": 19}, "target": "h"}, "answer": {"steps": [["y", "w + 18", "w + 25"], ["w", "c + 1", "c + 26"], ["c", "u + 6", "u + 32"], ["u", "z + 4", "z + 36"], ["z", "a + 13", "a + 49"], ["a", 19, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"a": 19}, "is_reverse": true}} | 6,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 18; z = a + 13; j = r + 19; c = u + 6; q = i + 6; w = c + 1; r = e + 13; e = m + 7; m = a + 9; i = j + 15; u = z + 4; a = 19; h = y + 7. Given that a = 19, 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 y = w + 18 to h, which gives h = w + 25.\n2. Substitute w = c + 1 to h, which gives h = c + 26.\n3. Substitute c = u + 6 to h, which gives h = u + 32.\n4. Substitute u = z + 4 to h, which gives h = z + 36.\n5. Substitute z = a + 13 to h, which gives h = a + 49.\n6. Substitute a = 19 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 6403,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 18; z = a + 13; j = r + 19; c = u + 6; q = i + 6; w = c + 1; r = e + 13; e = m + 7; m = a + 9; i = j + 15; u = z + 4; a = 19; h = y + 7. Given that a = 19, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 8", "t": "b + 3", "x": "t + 15", "r": "x + 13", "d": "r + 7", "g": "d + 18", "c": "y + 3", "f": "c + 12", "m": "f + 5", "p": "m + 20", "i": "p + 2", "j": "i + 13", "y": 2}, "premises": {"y": 2}, "target": "g"}, "answer": {"steps": [["d", "r + 7", "r + 25"], ["r", "x + 13", "x + 38"], ["x", "t + 15", "t + 53"], ["t", "b + 3", "b + 56"], ["b", "y + 8", "y + 64"], ["y", 2, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"y": 2}, "is_reverse": true}} | 6,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 15; y = 2; r = x + 13; b = y + 8; j = i + 13; c = y + 3; d = r + 7; m = f + 5; t = b + 3; p = m + 20; g = d + 18; f = c + 12; i = p + 2. If y = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 7 to g, which gives g = r + 25.\n2. Substitute r = x + 13 to g, which gives g = x + 38.\n3. Substitute x = t + 15 to g, which gives g = t + 53.\n4. Substitute t = b + 3 to g, which gives g = b + 56.\n5. Substitute b = y + 8 to g, which gives g = y + 64.\n6. Substitute y = 2 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 6404,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 15; y = 2; r = x + 13; b = y + 8; j = i + 13; c = y + 3; d = r + 7; m = f + 5; t = b + 3; p = m + 20; g = d + 18; f = c + 12; i = p + 2. If y = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 6", "u": "p + 17", "h": "u + 15", "a": "h + 13", "f": "a + 19", "i": "f + 8", "w": "m + 1", "c": "w + 9", "e": "c + 6", "z": "e + 3", "d": "z + 3", "t": "d + 15", "m": 2}, "premises": {"m": 2}, "target": "i"}, "answer": {"steps": [["f", "a + 19", "a + 27"], ["a", "h + 13", "h + 40"], ["h", "u + 15", "u + 55"], ["u", "p + 17", "p + 72"], ["p", "m + 6", "m + 78"], ["m", 2, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"m": 2}, "is_reverse": true}} | 6,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 9; e = c + 6; m = 2; w = m + 1; t = d + 15; p = m + 6; z = e + 3; f = a + 19; a = h + 13; i = f + 8; u = p + 17; h = u + 15; d = z + 3. If m = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 19 to i, which gives i = a + 27.\n2. Substitute a = h + 13 to i, which gives i = h + 40.\n3. Substitute h = u + 15 to i, which gives i = u + 55.\n4. Substitute u = p + 17 to i, which gives i = p + 72.\n5. Substitute p = m + 6 to i, which gives i = m + 78.\n6. Substitute m = 2 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 6405,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 9; e = c + 6; m = 2; w = m + 1; t = d + 15; p = m + 6; z = e + 3; f = a + 19; a = h + 13; i = f + 8; u = p + 17; h = u + 15; d = z + 3. If m = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 6", "w": "y + 16", "a": "w + 16", "s": "a + 9", "e": "s + 18", "t": "e + 18", "c": "q + 1", "u": "c + 10", "r": "u + 4", "z": "r + 17", "o": "z + 6", "h": "o + 3", "q": 1}, "premises": {"q": 1}, "target": "t"}, "answer": {"steps": [["e", "s + 18", "s + 36"], ["s", "a + 9", "a + 45"], ["a", "w + 16", "w + 61"], ["w", "y + 16", "y + 77"], ["y", "q + 6", "q + 83"], ["q", 1, "84"]], "target_var_name": "t", "target_value": 84, "value_dict": {"q": 1}, "is_reverse": true}} | 6,406 | 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 = a + 9; h = o + 3; q = 1; u = c + 10; a = w + 16; t = e + 18; c = q + 1; e = s + 18; y = q + 6; w = y + 16; r = u + 4; o = z + 6; z = r + 17. If q = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 18 to t, which gives t = s + 36.\n2. Substitute s = a + 9 to t, which gives t = a + 45.\n3. Substitute a = w + 16 to t, which gives t = w + 61.\n4. Substitute w = y + 16 to t, which gives t = y + 77.\n5. Substitute y = q + 6 to t, which gives t = q + 83.\n6. Substitute q = 1 to t, which gives t = 84.\n\nThus, the final answer is t = \\boxed{84}.",
"index": 6406,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 9; h = o + 3; q = 1; u = c + 10; a = w + 16; t = e + 18; c = q + 1; e = s + 18; y = q + 6; w = y + 16; r = u + 4; o = z + 6; z = r + 17. If q = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 9", "y": "g + 7", "w": "y + 14", "q": "w + 2", "r": "q + 2", "i": "r + 19", "s": "n + 8", "u": "s + 16", "l": "u + 13", "h": "l + 4", "f": "h + 2", "b": "f + 17", "n": 18}, "premises": {"n": 18}, "target": "i"}, "answer": {"steps": [["r", "q + 2", "q + 21"], ["q", "w + 2", "w + 23"], ["w", "y + 14", "y + 37"], ["y", "g + 7", "g + 44"], ["g", "n + 9", "n + 53"], ["n", 18, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"n": 18}, "is_reverse": true}} | 6,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 2; u = s + 16; s = n + 8; h = l + 4; y = g + 7; n = 18; l = u + 13; w = y + 14; r = q + 2; i = r + 19; b = f + 17; g = n + 9; f = h + 2. If n = 18, 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 r = q + 2 to i, which gives i = q + 21.\n2. Substitute q = w + 2 to i, which gives i = w + 23.\n3. Substitute w = y + 14 to i, which gives i = y + 37.\n4. Substitute y = g + 7 to i, which gives i = g + 44.\n5. Substitute g = n + 9 to i, which gives i = n + 53.\n6. Substitute n = 18 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 6407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 2; u = s + 16; s = n + 8; h = l + 4; y = g + 7; n = 18; l = u + 13; w = y + 14; r = q + 2; i = r + 19; b = f + 17; g = n + 9; f = h + 2. If n = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 12", "b": "g + 14", "j": "b + 1", "p": "j + 15", "v": "p + 12", "l": "v + 8", "y": "a + 12", "z": "y + 12", "i": "z + 6", "s": "i + 14", "h": "s + 9", "c": "h + 7", "a": 16}, "premises": {"a": 16}, "target": "l"}, "answer": {"steps": [["v", "p + 12", "p + 20"], ["p", "j + 15", "j + 35"], ["j", "b + 1", "b + 36"], ["b", "g + 14", "g + 50"], ["g", "a + 12", "a + 62"], ["a", 16, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"a": 16}, "is_reverse": true}} | 6,408 | 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 = a + 12; s = i + 14; b = g + 14; h = s + 9; c = h + 7; j = b + 1; i = z + 6; g = a + 12; v = p + 12; p = j + 15; l = v + 8; a = 16; z = y + 12. If a = 16, what is the resulting 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 v = p + 12 to l, which gives l = p + 20.\n2. Substitute p = j + 15 to l, which gives l = j + 35.\n3. Substitute j = b + 1 to l, which gives l = b + 36.\n4. Substitute b = g + 14 to l, which gives l = g + 50.\n5. Substitute g = a + 12 to l, which gives l = a + 62.\n6. Substitute a = 16 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 6408,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 12; s = i + 14; b = g + 14; h = s + 9; c = h + 7; j = b + 1; i = z + 6; g = a + 12; v = p + 12; p = j + 15; l = v + 8; a = 16; z = y + 12. If a = 16, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 18", "h": "m + 17", "e": "h + 9", "t": "e + 8", "b": "t + 1", "v": "b + 7", "j": "l + 7", "d": "j + 18", "f": "d + 8", "q": "f + 9", "g": "q + 18", "o": "g + 15", "l": 16}, "premises": {"l": 16}, "target": "v"}, "answer": {"steps": [["b", "t + 1", "t + 8"], ["t", "e + 8", "e + 16"], ["e", "h + 9", "h + 25"], ["h", "m + 17", "m + 42"], ["m", "l + 18", "l + 60"], ["l", 16, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"l": 16}, "is_reverse": true}} | 6,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 16; h = m + 17; f = d + 8; v = b + 7; q = f + 9; b = t + 1; e = h + 9; j = l + 7; m = l + 18; o = g + 15; t = e + 8; g = q + 18; d = j + 18. If l = 16, determine 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 b = t + 1 to v, which gives v = t + 8.\n2. Substitute t = e + 8 to v, which gives v = e + 16.\n3. Substitute e = h + 9 to v, which gives v = h + 25.\n4. Substitute h = m + 17 to v, which gives v = m + 42.\n5. Substitute m = l + 18 to v, which gives v = l + 60.\n6. Substitute l = 16 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 6409,
"question": "Consider a system of variables where each variable is defined as follows: l = 16; h = m + 17; f = d + 8; v = b + 7; q = f + 9; b = t + 1; e = h + 9; j = l + 7; m = l + 18; o = g + 15; t = e + 8; g = q + 18; d = j + 18. If l = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 2", "v": "b + 13", "i": "v + 17", "d": "i + 18", "l": "d + 14", "o": "l + 11", "t": "e + 2", "z": "t + 12", "p": "z + 13", "s": "p + 8", "k": "s + 5", "w": "k + 9", "e": 17}, "premises": {"e": 17}, "target": "o"}, "answer": {"steps": [["l", "d + 14", "d + 25"], ["d", "i + 18", "i + 43"], ["i", "v + 17", "v + 60"], ["v", "b + 13", "b + 73"], ["b", "e + 2", "e + 75"], ["e", 17, "92"]], "target_var_name": "o", "target_value": 92, "value_dict": {"e": 17}, "is_reverse": true}} | 6,410 | 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 = z + 13; d = i + 18; k = s + 5; l = d + 14; o = l + 11; w = k + 9; i = v + 17; z = t + 12; s = p + 8; e = 17; b = e + 2; v = b + 13; t = e + 2. If e = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 14 to o, which gives o = d + 25.\n2. Substitute d = i + 18 to o, which gives o = i + 43.\n3. Substitute i = v + 17 to o, which gives o = v + 60.\n4. Substitute v = b + 13 to o, which gives o = b + 73.\n5. Substitute b = e + 2 to o, which gives o = e + 75.\n6. Substitute e = 17 to o, which gives o = 92.\n\nThus, the final answer is o = \\boxed{92}.",
"index": 6410,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 13; d = i + 18; k = s + 5; l = d + 14; o = l + 11; w = k + 9; i = v + 17; z = t + 12; s = p + 8; e = 17; b = e + 2; v = b + 13; t = e + 2. If e = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 17", "o": "y + 9", "z": "o + 5", "d": "z + 17", "g": "d + 6", "l": "g + 5", "p": "i + 12", "u": "p + 9", "h": "u + 10", "x": "h + 11", "a": "x + 18", "s": "a + 8", "i": 20}, "premises": {"i": 20}, "target": "l"}, "answer": {"steps": [["g", "d + 6", "d + 11"], ["d", "z + 17", "z + 28"], ["z", "o + 5", "o + 33"], ["o", "y + 9", "y + 42"], ["y", "i + 17", "i + 59"], ["i", 20, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"i": 20}, "is_reverse": true}} | 6,411 | 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 = a + 8; x = h + 11; h = u + 10; z = o + 5; l = g + 5; d = z + 17; a = x + 18; p = i + 12; y = i + 17; o = y + 9; i = 20; g = d + 6; u = p + 9. If i = 20, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 6 to l, which gives l = d + 11.\n2. Substitute d = z + 17 to l, which gives l = z + 28.\n3. Substitute z = o + 5 to l, which gives l = o + 33.\n4. Substitute o = y + 9 to l, which gives l = y + 42.\n5. Substitute y = i + 17 to l, which gives l = i + 59.\n6. Substitute i = 20 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 6411,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 8; x = h + 11; h = u + 10; z = o + 5; l = g + 5; d = z + 17; a = x + 18; p = i + 12; y = i + 17; o = y + 9; i = 20; g = d + 6; u = p + 9. If i = 20, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 11", "e": "q + 8", "b": "e + 20", "i": "b + 14", "j": "i + 17", "u": "j + 14", "n": "f + 12", "y": "n + 1", "c": "y + 6", "a": "c + 1", "x": "a + 18", "d": "x + 13", "f": 1}, "premises": {"f": 1}, "target": "u"}, "answer": {"steps": [["j", "i + 17", "i + 31"], ["i", "b + 14", "b + 45"], ["b", "e + 20", "e + 65"], ["e", "q + 8", "q + 73"], ["q", "f + 11", "f + 84"], ["f", 1, "85"]], "target_var_name": "u", "target_value": 85, "value_dict": {"f": 1}, "is_reverse": true}} | 6,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 1; b = e + 20; c = y + 6; n = f + 12; i = b + 14; q = f + 11; d = x + 13; f = 1; j = i + 17; u = j + 14; a = c + 1; e = q + 8; x = a + 18. If f = 1, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 17 to u, which gives u = i + 31.\n2. Substitute i = b + 14 to u, which gives u = b + 45.\n3. Substitute b = e + 20 to u, which gives u = e + 65.\n4. Substitute e = q + 8 to u, which gives u = q + 73.\n5. Substitute q = f + 11 to u, which gives u = f + 84.\n6. Substitute f = 1 to u, which gives u = 85.\n\nThus, the final answer is u = \\boxed{85}.",
"index": 6412,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 1; b = e + 20; c = y + 6; n = f + 12; i = b + 14; q = f + 11; d = x + 13; f = 1; j = i + 17; u = j + 14; a = c + 1; e = q + 8; x = a + 18. If f = 1, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 18", "c": "h + 15", "r": "c + 14", "t": "r + 14", "b": "t + 1", "e": "b + 18", "q": "x + 6", "y": "q + 8", "k": "y + 5", "v": "k + 2", "j": "v + 5", "g": "j + 2", "x": 20}, "premises": {"x": 20}, "target": "e"}, "answer": {"steps": [["b", "t + 1", "t + 19"], ["t", "r + 14", "r + 33"], ["r", "c + 14", "c + 47"], ["c", "h + 15", "h + 62"], ["h", "x + 18", "x + 80"], ["x", 20, "100"]], "target_var_name": "e", "target_value": 100, "value_dict": {"x": 20}, "is_reverse": true}} | 6,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 15; t = r + 14; y = q + 8; q = x + 6; h = x + 18; g = j + 2; j = v + 5; e = b + 18; x = 20; v = k + 2; k = y + 5; b = t + 1; r = c + 14. If x = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 1 to e, which gives e = t + 19.\n2. Substitute t = r + 14 to e, which gives e = r + 33.\n3. Substitute r = c + 14 to e, which gives e = c + 47.\n4. Substitute c = h + 15 to e, which gives e = h + 62.\n5. Substitute h = x + 18 to e, which gives e = x + 80.\n6. Substitute x = 20 to e, which gives e = 100.\n\nThus, the final answer is e = \\boxed{100}.",
"index": 6413,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 15; t = r + 14; y = q + 8; q = x + 6; h = x + 18; g = j + 2; j = v + 5; e = b + 18; x = 20; v = k + 2; k = y + 5; b = t + 1; r = c + 14. If x = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 3", "k": "y + 12", "g": "k + 20", "s": "g + 2", "r": "s + 14", "v": "r + 11", "j": "f + 12", "p": "j + 5", "e": "p + 11", "q": "e + 13", "m": "q + 14", "n": "m + 7", "f": 4}, "premises": {"f": 4}, "target": "v"}, "answer": {"steps": [["r", "s + 14", "s + 25"], ["s", "g + 2", "g + 27"], ["g", "k + 20", "k + 47"], ["k", "y + 12", "y + 59"], ["y", "f + 3", "f + 62"], ["f", 4, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"f": 4}, "is_reverse": true}} | 6,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 2; p = j + 5; q = e + 13; n = m + 7; y = f + 3; m = q + 14; r = s + 14; e = p + 11; g = k + 20; f = 4; j = f + 12; k = y + 12; v = r + 11. If f = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 14 to v, which gives v = s + 25.\n2. Substitute s = g + 2 to v, which gives v = g + 27.\n3. Substitute g = k + 20 to v, which gives v = k + 47.\n4. Substitute k = y + 12 to v, which gives v = y + 59.\n5. Substitute y = f + 3 to v, which gives v = f + 62.\n6. Substitute f = 4 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 6414,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = g + 2; p = j + 5; q = e + 13; n = m + 7; y = f + 3; m = q + 14; r = s + 14; e = p + 11; g = k + 20; f = 4; j = f + 12; k = y + 12; v = r + 11. If f = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 10", "z": "x + 5", "f": "z + 15", "h": "f + 19", "q": "h + 5", "o": "q + 12", "k": "s + 18", "w": "k + 8", "m": "w + 5", "c": "m + 16", "d": "c + 18", "j": "d + 3", "s": 5}, "premises": {"s": 5}, "target": "o"}, "answer": {"steps": [["q", "h + 5", "h + 17"], ["h", "f + 19", "f + 36"], ["f", "z + 15", "z + 51"], ["z", "x + 5", "x + 56"], ["x", "s + 10", "s + 66"], ["s", 5, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"s": 5}, "is_reverse": true}} | 6,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 18; z = x + 5; o = q + 12; w = k + 8; j = d + 3; q = h + 5; x = s + 10; k = s + 18; h = f + 19; s = 5; c = m + 16; m = w + 5; f = z + 15. Given that s = 5, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 5 to o, which gives o = h + 17.\n2. Substitute h = f + 19 to o, which gives o = f + 36.\n3. Substitute f = z + 15 to o, which gives o = z + 51.\n4. Substitute z = x + 5 to o, which gives o = x + 56.\n5. Substitute x = s + 10 to o, which gives o = s + 66.\n6. Substitute s = 5 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 6415,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 18; z = x + 5; o = q + 12; w = k + 8; j = d + 3; q = h + 5; x = s + 10; k = s + 18; h = f + 19; s = 5; c = m + 16; m = w + 5; f = z + 15. Given that s = 5, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 4", "n": "s + 6", "k": "n + 4", "w": "k + 8", "o": "w + 17", "h": "o + 19", "j": "e + 6", "c": "j + 13", "i": "c + 2", "z": "i + 14", "t": "z + 4", "v": "t + 10", "e": 16}, "premises": {"e": 16}, "target": "h"}, "answer": {"steps": [["o", "w + 17", "w + 36"], ["w", "k + 8", "k + 44"], ["k", "n + 4", "n + 48"], ["n", "s + 6", "s + 54"], ["s", "e + 4", "e + 58"], ["e", 16, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"e": 16}, "is_reverse": true}} | 6,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 13; t = z + 4; h = o + 19; w = k + 8; n = s + 6; i = c + 2; s = e + 4; o = w + 17; z = i + 14; v = t + 10; k = n + 4; j = e + 6; e = 16. Given that e = 16, find 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 o = w + 17 to h, which gives h = w + 36.\n2. Substitute w = k + 8 to h, which gives h = k + 44.\n3. Substitute k = n + 4 to h, which gives h = n + 48.\n4. Substitute n = s + 6 to h, which gives h = s + 54.\n5. Substitute s = e + 4 to h, which gives h = e + 58.\n6. Substitute e = 16 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 6416,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 13; t = z + 4; h = o + 19; w = k + 8; n = s + 6; i = c + 2; s = e + 4; o = w + 17; z = i + 14; v = t + 10; k = n + 4; j = e + 6; e = 16. Given that e = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 20", "a": "l + 11", "i": "a + 19", "j": "i + 17", "g": "j + 6", "s": "g + 5", "k": "q + 1", "f": "k + 13", "b": "f + 19", "n": "b + 9", "m": "n + 18", "x": "m + 10", "q": 18}, "premises": {"q": 18}, "target": "s"}, "answer": {"steps": [["g", "j + 6", "j + 11"], ["j", "i + 17", "i + 28"], ["i", "a + 19", "a + 47"], ["a", "l + 11", "l + 58"], ["l", "q + 20", "q + 78"], ["q", 18, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"q": 18}, "is_reverse": true}} | 6,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 9; i = a + 19; j = i + 17; x = m + 10; s = g + 5; b = f + 19; q = 18; k = q + 1; m = n + 18; l = q + 20; g = j + 6; f = k + 13; a = l + 11. If q = 18, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 6 to s, which gives s = j + 11.\n2. Substitute j = i + 17 to s, which gives s = i + 28.\n3. Substitute i = a + 19 to s, which gives s = a + 47.\n4. Substitute a = l + 11 to s, which gives s = l + 58.\n5. Substitute l = q + 20 to s, which gives s = q + 78.\n6. Substitute q = 18 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 6417,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 9; i = a + 19; j = i + 17; x = m + 10; s = g + 5; b = f + 19; q = 18; k = q + 1; m = n + 18; l = q + 20; g = j + 6; f = k + 13; a = l + 11. If q = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 15", "h": "t + 15", "u": "h + 5", "l": "u + 17", "c": "l + 1", "g": "c + 20", "o": "i + 4", "w": "o + 9", "b": "w + 19", "x": "b + 8", "s": "x + 10", "d": "s + 13", "i": 5}, "premises": {"i": 5}, "target": "g"}, "answer": {"steps": [["c", "l + 1", "l + 21"], ["l", "u + 17", "u + 38"], ["u", "h + 5", "h + 43"], ["h", "t + 15", "t + 58"], ["t", "i + 15", "i + 73"], ["i", 5, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"i": 5}, "is_reverse": true}} | 6,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 9; c = l + 1; d = s + 13; l = u + 17; b = w + 19; s = x + 10; i = 5; u = h + 5; o = i + 4; h = t + 15; g = c + 20; t = i + 15; x = b + 8. If i = 5, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 1 to g, which gives g = l + 21.\n2. Substitute l = u + 17 to g, which gives g = u + 38.\n3. Substitute u = h + 5 to g, which gives g = h + 43.\n4. Substitute h = t + 15 to g, which gives g = t + 58.\n5. Substitute t = i + 15 to g, which gives g = i + 73.\n6. Substitute i = 5 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 6418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 9; c = l + 1; d = s + 13; l = u + 17; b = w + 19; s = x + 10; i = 5; u = h + 5; o = i + 4; h = t + 15; g = c + 20; t = i + 15; x = b + 8. If i = 5, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 16", "f": "q + 9", "k": "f + 13", "o": "k + 20", "t": "o + 18", "z": "t + 15", "b": "i + 11", "d": "b + 1", "u": "d + 1", "j": "u + 8", "y": "j + 11", "m": "y + 18", "i": 8}, "premises": {"i": 8}, "target": "z"}, "answer": {"steps": [["t", "o + 18", "o + 33"], ["o", "k + 20", "k + 53"], ["k", "f + 13", "f + 66"], ["f", "q + 9", "q + 75"], ["q", "i + 16", "i + 91"], ["i", 8, "99"]], "target_var_name": "z", "target_value": 99, "value_dict": {"i": 8}, "is_reverse": true}} | 6,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 1; y = j + 11; t = o + 18; z = t + 15; q = i + 16; k = f + 13; i = 8; m = y + 18; u = d + 1; b = i + 11; f = q + 9; o = k + 20; j = u + 8. If i = 8, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 18 to z, which gives z = o + 33.\n2. Substitute o = k + 20 to z, which gives z = k + 53.\n3. Substitute k = f + 13 to z, which gives z = f + 66.\n4. Substitute f = q + 9 to z, which gives z = q + 75.\n5. Substitute q = i + 16 to z, which gives z = i + 91.\n6. Substitute i = 8 to z, which gives z = 99.\n\nThus, the final answer is z = \\boxed{99}.",
"index": 6419,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 1; y = j + 11; t = o + 18; z = t + 15; q = i + 16; k = f + 13; i = 8; m = y + 18; u = d + 1; b = i + 11; f = q + 9; o = k + 20; j = u + 8. If i = 8, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 20", "j": "d + 15", "w": "j + 11", "u": "w + 13", "x": "u + 9", "z": "x + 16", "f": "k + 2", "n": "f + 15", "b": "n + 20", "h": "b + 19", "p": "h + 11", "g": "p + 16", "k": 5}, "premises": {"k": 5}, "target": "z"}, "answer": {"steps": [["x", "u + 9", "u + 25"], ["u", "w + 13", "w + 38"], ["w", "j + 11", "j + 49"], ["j", "d + 15", "d + 64"], ["d", "k + 20", "k + 84"], ["k", 5, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"k": 5}, "is_reverse": true}} | 6,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 20; w = j + 11; n = f + 15; u = w + 13; j = d + 15; x = u + 9; k = 5; p = h + 11; h = b + 19; f = k + 2; g = p + 16; d = k + 20; z = x + 16. Given that k = 5, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 9 to z, which gives z = u + 25.\n2. Substitute u = w + 13 to z, which gives z = w + 38.\n3. Substitute w = j + 11 to z, which gives z = j + 49.\n4. Substitute j = d + 15 to z, which gives z = d + 64.\n5. Substitute d = k + 20 to z, which gives z = k + 84.\n6. Substitute k = 5 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 6420,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 20; w = j + 11; n = f + 15; u = w + 13; j = d + 15; x = u + 9; k = 5; p = h + 11; h = b + 19; f = k + 2; g = p + 16; d = k + 20; z = x + 16. Given that k = 5, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 2", "f": "b + 19", "p": "f + 19", "x": "p + 20", "q": "x + 13", "n": "q + 3", "u": "c + 13", "i": "u + 4", "l": "i + 14", "v": "l + 14", "z": "v + 12", "r": "z + 2", "c": 6}, "premises": {"c": 6}, "target": "n"}, "answer": {"steps": [["q", "x + 13", "x + 16"], ["x", "p + 20", "p + 36"], ["p", "f + 19", "f + 55"], ["f", "b + 19", "b + 74"], ["b", "c + 2", "c + 76"], ["c", 6, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"c": 6}, "is_reverse": true}} | 6,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 2; v = l + 14; p = f + 19; u = c + 13; q = x + 13; c = 6; x = p + 20; r = z + 2; l = i + 14; f = b + 19; n = q + 3; z = v + 12; i = u + 4. If c = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 13 to n, which gives n = x + 16.\n2. Substitute x = p + 20 to n, which gives n = p + 36.\n3. Substitute p = f + 19 to n, which gives n = f + 55.\n4. Substitute f = b + 19 to n, which gives n = b + 74.\n5. Substitute b = c + 2 to n, which gives n = c + 76.\n6. Substitute c = 6 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 6421,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 2; v = l + 14; p = f + 19; u = c + 13; q = x + 13; c = 6; x = p + 20; r = z + 2; l = i + 14; f = b + 19; n = q + 3; z = v + 12; i = u + 4. If c = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 4", "f": "a + 8", "g": "f + 10", "k": "g + 5", "y": "k + 12", "t": "y + 20", "n": "l + 8", "x": "n + 12", "i": "x + 5", "v": "i + 4", "m": "v + 10", "o": "m + 2", "l": 2}, "premises": {"l": 2}, "target": "t"}, "answer": {"steps": [["y", "k + 12", "k + 32"], ["k", "g + 5", "g + 37"], ["g", "f + 10", "f + 47"], ["f", "a + 8", "a + 55"], ["a", "l + 4", "l + 59"], ["l", 2, "61"]], "target_var_name": "t", "target_value": 61, "value_dict": {"l": 2}, "is_reverse": true}} | 6,422 | 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 = y + 20; g = f + 10; i = x + 5; a = l + 4; x = n + 12; o = m + 2; m = v + 10; k = g + 5; v = i + 4; y = k + 12; l = 2; f = a + 8; n = l + 8. If l = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 12 to t, which gives t = k + 32.\n2. Substitute k = g + 5 to t, which gives t = g + 37.\n3. Substitute g = f + 10 to t, which gives t = f + 47.\n4. Substitute f = a + 8 to t, which gives t = a + 55.\n5. Substitute a = l + 4 to t, which gives t = l + 59.\n6. Substitute l = 2 to t, which gives t = 61.\n\nThus, the final answer is t = \\boxed{61}.",
"index": 6422,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 20; g = f + 10; i = x + 5; a = l + 4; x = n + 12; o = m + 2; m = v + 10; k = g + 5; v = i + 4; y = k + 12; l = 2; f = a + 8; n = l + 8. If l = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 18", "r": "l + 11", "w": "r + 8", "k": "w + 10", "e": "k + 13", "z": "e + 5", "m": "f + 10", "b": "m + 3", "t": "b + 9", "g": "t + 9", "q": "g + 13", "j": "q + 6", "f": 14}, "premises": {"f": 14}, "target": "z"}, "answer": {"steps": [["e", "k + 13", "k + 18"], ["k", "w + 10", "w + 28"], ["w", "r + 8", "r + 36"], ["r", "l + 11", "l + 47"], ["l", "f + 18", "f + 65"], ["f", 14, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"f": 14}, "is_reverse": true}} | 6,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 9; j = q + 6; f = 14; g = t + 9; m = f + 10; e = k + 13; k = w + 10; z = e + 5; l = f + 18; w = r + 8; q = g + 13; r = l + 11; b = m + 3. If f = 14, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 13 to z, which gives z = k + 18.\n2. Substitute k = w + 10 to z, which gives z = w + 28.\n3. Substitute w = r + 8 to z, which gives z = r + 36.\n4. Substitute r = l + 11 to z, which gives z = l + 47.\n5. Substitute l = f + 18 to z, which gives z = f + 65.\n6. Substitute f = 14 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 6423,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 9; j = q + 6; f = 14; g = t + 9; m = f + 10; e = k + 13; k = w + 10; z = e + 5; l = f + 18; w = r + 8; q = g + 13; r = l + 11; b = m + 3. If f = 14, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 2", "h": "c + 10", "n": "h + 12", "x": "n + 4", "t": "x + 13", "u": "t + 20", "b": "q + 6", "e": "b + 13", "g": "e + 1", "z": "g + 18", "o": "z + 20", "s": "o + 19", "q": 4}, "premises": {"q": 4}, "target": "u"}, "answer": {"steps": [["t", "x + 13", "x + 33"], ["x", "n + 4", "n + 37"], ["n", "h + 12", "h + 49"], ["h", "c + 10", "c + 59"], ["c", "q + 2", "q + 61"], ["q", 4, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"q": 4}, "is_reverse": true}} | 6,424 | 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 + 18; t = x + 13; q = 4; s = o + 19; u = t + 20; b = q + 6; n = h + 12; o = z + 20; e = b + 13; g = e + 1; h = c + 10; c = q + 2; x = n + 4. If q = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 13 to u, which gives u = x + 33.\n2. Substitute x = n + 4 to u, which gives u = n + 37.\n3. Substitute n = h + 12 to u, which gives u = h + 49.\n4. Substitute h = c + 10 to u, which gives u = c + 59.\n5. Substitute c = q + 2 to u, which gives u = q + 61.\n6. Substitute q = 4 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 6424,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = g + 18; t = x + 13; q = 4; s = o + 19; u = t + 20; b = q + 6; n = h + 12; o = z + 20; e = b + 13; g = e + 1; h = c + 10; c = q + 2; x = n + 4. If q = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 3", "k": "b + 16", "s": "k + 9", "v": "s + 18", "u": "v + 6", "n": "u + 20", "q": "g + 7", "y": "q + 6", "l": "y + 8", "t": "l + 14", "e": "t + 5", "i": "e + 17", "g": 16}, "premises": {"g": 16}, "target": "n"}, "answer": {"steps": [["u", "v + 6", "v + 26"], ["v", "s + 18", "s + 44"], ["s", "k + 9", "k + 53"], ["k", "b + 16", "b + 69"], ["b", "g + 3", "g + 72"], ["g", 16, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"g": 16}, "is_reverse": true}} | 6,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 8; b = g + 3; t = l + 14; u = v + 6; n = u + 20; s = k + 9; k = b + 16; i = e + 17; g = 16; q = g + 7; v = s + 18; e = t + 5; y = q + 6. If g = 16, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 6 to n, which gives n = v + 26.\n2. Substitute v = s + 18 to n, which gives n = s + 44.\n3. Substitute s = k + 9 to n, which gives n = k + 53.\n4. Substitute k = b + 16 to n, which gives n = b + 69.\n5. Substitute b = g + 3 to n, which gives n = g + 72.\n6. Substitute g = 16 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 6425,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 8; b = g + 3; t = l + 14; u = v + 6; n = u + 20; s = k + 9; k = b + 16; i = e + 17; g = 16; q = g + 7; v = s + 18; e = t + 5; y = q + 6. If g = 16, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 11", "x": "i + 13", "t": "x + 9", "f": "t + 14", "a": "f + 10", "c": "a + 2", "s": "w + 5", "l": "s + 12", "g": "l + 19", "v": "g + 14", "k": "v + 14", "y": "k + 8", "w": 13}, "premises": {"w": 13}, "target": "c"}, "answer": {"steps": [["a", "f + 10", "f + 12"], ["f", "t + 14", "t + 26"], ["t", "x + 9", "x + 35"], ["x", "i + 13", "i + 48"], ["i", "w + 11", "w + 59"], ["w", 13, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"w": 13}, "is_reverse": true}} | 6,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 14; x = i + 13; w = 13; g = l + 19; c = a + 2; l = s + 12; i = w + 11; a = f + 10; k = v + 14; y = k + 8; s = w + 5; f = t + 14; t = x + 9. Given that w = 13, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 10 to c, which gives c = f + 12.\n2. Substitute f = t + 14 to c, which gives c = t + 26.\n3. Substitute t = x + 9 to c, which gives c = x + 35.\n4. Substitute x = i + 13 to c, which gives c = i + 48.\n5. Substitute i = w + 11 to c, which gives c = w + 59.\n6. Substitute w = 13 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 6426,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 14; x = i + 13; w = 13; g = l + 19; c = a + 2; l = s + 12; i = w + 11; a = f + 10; k = v + 14; y = k + 8; s = w + 5; f = t + 14; t = x + 9. Given that w = 13, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 14", "z": "j + 4", "l": "z + 18", "m": "l + 18", "t": "m + 13", "b": "t + 18", "p": "s + 6", "w": "p + 10", "f": "w + 3", "e": "f + 5", "i": "e + 18", "o": "i + 6", "s": 14}, "premises": {"s": 14}, "target": "b"}, "answer": {"steps": [["t", "m + 13", "m + 31"], ["m", "l + 18", "l + 49"], ["l", "z + 18", "z + 67"], ["z", "j + 4", "j + 71"], ["j", "s + 14", "s + 85"], ["s", 14, "99"]], "target_var_name": "b", "target_value": 99, "value_dict": {"s": 14}, "is_reverse": true}} | 6,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 18; t = m + 13; j = s + 14; b = t + 18; e = f + 5; m = l + 18; o = i + 6; i = e + 18; w = p + 10; p = s + 6; f = w + 3; s = 14; z = j + 4. Given that s = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 13 to b, which gives b = m + 31.\n2. Substitute m = l + 18 to b, which gives b = l + 49.\n3. Substitute l = z + 18 to b, which gives b = z + 67.\n4. Substitute z = j + 4 to b, which gives b = j + 71.\n5. Substitute j = s + 14 to b, which gives b = s + 85.\n6. Substitute s = 14 to b, which gives b = 99.\n\nThus, the final answer is b = \\boxed{99}.",
"index": 6427,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 18; t = m + 13; j = s + 14; b = t + 18; e = f + 5; m = l + 18; o = i + 6; i = e + 18; w = p + 10; p = s + 6; f = w + 3; s = 14; z = j + 4. Given that s = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 5", "g": "b + 16", "r": "g + 18", "i": "r + 20", "j": "i + 17", "e": "j + 11", "t": "h + 8", "f": "t + 12", "m": "f + 10", "q": "m + 9", "u": "q + 15", "x": "u + 8", "h": 17}, "premises": {"h": 17}, "target": "e"}, "answer": {"steps": [["j", "i + 17", "i + 28"], ["i", "r + 20", "r + 48"], ["r", "g + 18", "g + 66"], ["g", "b + 16", "b + 82"], ["b", "h + 5", "h + 87"], ["h", 17, "104"]], "target_var_name": "e", "target_value": 104, "value_dict": {"h": 17}, "is_reverse": true}} | 6,428 | 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 = j + 11; j = i + 17; m = f + 10; u = q + 15; b = h + 5; t = h + 8; r = g + 18; f = t + 12; i = r + 20; h = 17; x = u + 8; q = m + 9; g = b + 16. If h = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 17 to e, which gives e = i + 28.\n2. Substitute i = r + 20 to e, which gives e = r + 48.\n3. Substitute r = g + 18 to e, which gives e = g + 66.\n4. Substitute g = b + 16 to e, which gives e = b + 82.\n5. Substitute b = h + 5 to e, which gives e = h + 87.\n6. Substitute h = 17 to e, which gives e = 104.\n\nThus, the final answer is e = \\boxed{104}.",
"index": 6428,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 11; j = i + 17; m = f + 10; u = q + 15; b = h + 5; t = h + 8; r = g + 18; f = t + 12; i = r + 20; h = 17; x = u + 8; q = m + 9; g = b + 16. If h = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 16", "t": "u + 16", "s": "t + 6", "o": "s + 7", "j": "o + 17", "a": "j + 3", "g": "w + 16", "k": "g + 2", "l": "k + 20", "b": "l + 10", "e": "b + 12", "z": "e + 10", "w": 20}, "premises": {"w": 20}, "target": "a"}, "answer": {"steps": [["j", "o + 17", "o + 20"], ["o", "s + 7", "s + 27"], ["s", "t + 6", "t + 33"], ["t", "u + 16", "u + 49"], ["u", "w + 16", "w + 65"], ["w", 20, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"w": 20}, "is_reverse": true}} | 6,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 7; a = j + 3; l = k + 20; w = 20; e = b + 12; t = u + 16; j = o + 17; g = w + 16; k = g + 2; b = l + 10; u = w + 16; z = e + 10; s = t + 6. Given that w = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 17 to a, which gives a = o + 20.\n2. Substitute o = s + 7 to a, which gives a = s + 27.\n3. Substitute s = t + 6 to a, which gives a = t + 33.\n4. Substitute t = u + 16 to a, which gives a = u + 49.\n5. Substitute u = w + 16 to a, which gives a = w + 65.\n6. Substitute w = 20 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 6429,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 7; a = j + 3; l = k + 20; w = 20; e = b + 12; t = u + 16; j = o + 17; g = w + 16; k = g + 2; b = l + 10; u = w + 16; z = e + 10; s = t + 6. Given that w = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 14", "y": "w + 5", "t": "y + 17", "p": "t + 14", "a": "p + 8", "g": "a + 18", "q": "z + 19", "o": "q + 1", "s": "o + 15", "c": "s + 19", "k": "c + 5", "u": "k + 17", "z": 8}, "premises": {"z": 8}, "target": "g"}, "answer": {"steps": [["a", "p + 8", "p + 26"], ["p", "t + 14", "t + 40"], ["t", "y + 17", "y + 57"], ["y", "w + 5", "w + 62"], ["w", "z + 14", "z + 76"], ["z", 8, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"z": 8}, "is_reverse": true}} | 6,430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 5; z = 8; u = k + 17; a = p + 8; q = z + 19; s = o + 15; o = q + 1; g = a + 18; t = y + 17; c = s + 19; k = c + 5; p = t + 14; w = z + 14. If z = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 8 to g, which gives g = p + 26.\n2. Substitute p = t + 14 to g, which gives g = t + 40.\n3. Substitute t = y + 17 to g, which gives g = y + 57.\n4. Substitute y = w + 5 to g, which gives g = w + 62.\n5. Substitute w = z + 14 to g, which gives g = z + 76.\n6. Substitute z = 8 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 6430,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 5; z = 8; u = k + 17; a = p + 8; q = z + 19; s = o + 15; o = q + 1; g = a + 18; t = y + 17; c = s + 19; k = c + 5; p = t + 14; w = z + 14. If z = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 1", "j": "t + 18", "z": "j + 13", "l": "z + 6", "i": "l + 12", "s": "i + 8", "g": "q + 13", "c": "g + 6", "a": "c + 4", "d": "a + 9", "v": "d + 12", "e": "v + 17", "q": 8}, "premises": {"q": 8}, "target": "s"}, "answer": {"steps": [["i", "l + 12", "l + 20"], ["l", "z + 6", "z + 26"], ["z", "j + 13", "j + 39"], ["j", "t + 18", "t + 57"], ["t", "q + 1", "q + 58"], ["q", 8, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"q": 8}, "is_reverse": true}} | 6,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 8; a = c + 4; t = q + 1; j = t + 18; g = q + 13; l = z + 6; z = j + 13; s = i + 8; c = g + 6; d = a + 9; v = d + 12; i = l + 12; e = v + 17. If q = 8, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 12 to s, which gives s = l + 20.\n2. Substitute l = z + 6 to s, which gives s = z + 26.\n3. Substitute z = j + 13 to s, which gives s = j + 39.\n4. Substitute j = t + 18 to s, which gives s = t + 57.\n5. Substitute t = q + 1 to s, which gives s = q + 58.\n6. Substitute q = 8 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 6431,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 8; a = c + 4; t = q + 1; j = t + 18; g = q + 13; l = z + 6; z = j + 13; s = i + 8; c = g + 6; d = a + 9; v = d + 12; i = l + 12; e = v + 17. If q = 8, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 4", "e": "f + 14", "j": "e + 19", "l": "j + 4", "x": "l + 5", "m": "x + 12", "h": "r + 16", "s": "h + 20", "b": "s + 11", "i": "b + 6", "a": "i + 19", "p": "a + 2", "r": 19}, "premises": {"r": 19}, "target": "m"}, "answer": {"steps": [["x", "l + 5", "l + 17"], ["l", "j + 4", "j + 21"], ["j", "e + 19", "e + 40"], ["e", "f + 14", "f + 54"], ["f", "r + 4", "r + 58"], ["r", 19, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"r": 19}, "is_reverse": true}} | 6,432 | 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 = 19; a = i + 19; f = r + 4; p = a + 2; x = l + 5; l = j + 4; b = s + 11; m = x + 12; e = f + 14; s = h + 20; h = r + 16; j = e + 19; i = b + 6. If r = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 5 to m, which gives m = l + 17.\n2. Substitute l = j + 4 to m, which gives m = j + 21.\n3. Substitute j = e + 19 to m, which gives m = e + 40.\n4. Substitute e = f + 14 to m, which gives m = f + 54.\n5. Substitute f = r + 4 to m, which gives m = r + 58.\n6. Substitute r = 19 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 6432,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 19; a = i + 19; f = r + 4; p = a + 2; x = l + 5; l = j + 4; b = s + 11; m = x + 12; e = f + 14; s = h + 20; h = r + 16; j = e + 19; i = b + 6. If r = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 3", "x": "k + 2", "n": "x + 20", "m": "n + 2", "b": "m + 15", "y": "b + 16", "u": "s + 19", "w": "u + 12", "q": "w + 9", "l": "q + 18", "v": "l + 2", "e": "v + 6", "s": 16}, "premises": {"s": 16}, "target": "y"}, "answer": {"steps": [["b", "m + 15", "m + 31"], ["m", "n + 2", "n + 33"], ["n", "x + 20", "x + 53"], ["x", "k + 2", "k + 55"], ["k", "s + 3", "s + 58"], ["s", 16, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"s": 16}, "is_reverse": true}} | 6,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 16; w = u + 12; n = x + 20; e = v + 6; q = w + 9; u = s + 19; k = s + 3; l = q + 18; v = l + 2; m = n + 2; b = m + 15; s = 16; x = k + 2. If s = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 15 to y, which gives y = m + 31.\n2. Substitute m = n + 2 to y, which gives y = n + 33.\n3. Substitute n = x + 20 to y, which gives y = x + 53.\n4. Substitute x = k + 2 to y, which gives y = k + 55.\n5. Substitute k = s + 3 to y, which gives y = s + 58.\n6. Substitute s = 16 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 6433,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 16; w = u + 12; n = x + 20; e = v + 6; q = w + 9; u = s + 19; k = s + 3; l = q + 18; v = l + 2; m = n + 2; b = m + 15; s = 16; x = k + 2. If s = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 8", "k": "e + 4", "j": "k + 11", "s": "j + 8", "o": "s + 18", "n": "o + 4", "x": "f + 19", "g": "x + 8", "h": "g + 8", "v": "h + 6", "c": "v + 19", "d": "c + 18", "f": 13}, "premises": {"f": 13}, "target": "n"}, "answer": {"steps": [["o", "s + 18", "s + 22"], ["s", "j + 8", "j + 30"], ["j", "k + 11", "k + 41"], ["k", "e + 4", "e + 45"], ["e", "f + 8", "f + 53"], ["f", 13, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"f": 13}, "is_reverse": true}} | 6,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 18; o = s + 18; j = k + 11; f = 13; k = e + 4; h = g + 8; e = f + 8; n = o + 4; s = j + 8; x = f + 19; v = h + 6; c = v + 19; g = x + 8. If f = 13, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 18 to n, which gives n = s + 22.\n2. Substitute s = j + 8 to n, which gives n = j + 30.\n3. Substitute j = k + 11 to n, which gives n = k + 41.\n4. Substitute k = e + 4 to n, which gives n = e + 45.\n5. Substitute e = f + 8 to n, which gives n = f + 53.\n6. Substitute f = 13 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 6434,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 18; o = s + 18; j = k + 11; f = 13; k = e + 4; h = g + 8; e = f + 8; n = o + 4; s = j + 8; x = f + 19; v = h + 6; c = v + 19; g = x + 8. If f = 13, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 2", "c": "m + 6", "d": "c + 20", "p": "d + 8", "h": "p + 13", "l": "h + 12", "x": "q + 10", "a": "x + 19", "j": "a + 4", "s": "j + 6", "k": "s + 19", "o": "k + 2", "q": 17}, "premises": {"q": 17}, "target": "l"}, "answer": {"steps": [["h", "p + 13", "p + 25"], ["p", "d + 8", "d + 33"], ["d", "c + 20", "c + 53"], ["c", "m + 6", "m + 59"], ["m", "q + 2", "q + 61"], ["q", 17, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"q": 17}, "is_reverse": true}} | 6,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 17; h = p + 13; j = a + 4; x = q + 10; a = x + 19; o = k + 2; c = m + 6; s = j + 6; p = d + 8; l = h + 12; d = c + 20; m = q + 2; k = s + 19. If q = 17, what is the resulting 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 = p + 13 to l, which gives l = p + 25.\n2. Substitute p = d + 8 to l, which gives l = d + 33.\n3. Substitute d = c + 20 to l, which gives l = c + 53.\n4. Substitute c = m + 6 to l, which gives l = m + 59.\n5. Substitute m = q + 2 to l, which gives l = q + 61.\n6. Substitute q = 17 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 6435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 17; h = p + 13; j = a + 4; x = q + 10; a = x + 19; o = k + 2; c = m + 6; s = j + 6; p = d + 8; l = h + 12; d = c + 20; m = q + 2; k = s + 19. If q = 17, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 7", "e": "i + 18", "v": "e + 6", "x": "v + 18", "a": "x + 16", "o": "a + 9", "n": "s + 7", "g": "n + 6", "w": "g + 16", "f": "w + 10", "t": "f + 2", "d": "t + 10", "s": 7}, "premises": {"s": 7}, "target": "o"}, "answer": {"steps": [["a", "x + 16", "x + 25"], ["x", "v + 18", "v + 43"], ["v", "e + 6", "e + 49"], ["e", "i + 18", "i + 67"], ["i", "s + 7", "s + 74"], ["s", 7, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"s": 7}, "is_reverse": true}} | 6,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 10; v = e + 6; x = v + 18; a = x + 16; w = g + 16; g = n + 6; n = s + 7; i = s + 7; t = f + 2; e = i + 18; f = w + 10; o = a + 9; s = 7. If s = 7, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 16 to o, which gives o = x + 25.\n2. Substitute x = v + 18 to o, which gives o = v + 43.\n3. Substitute v = e + 6 to o, which gives o = e + 49.\n4. Substitute e = i + 18 to o, which gives o = i + 67.\n5. Substitute i = s + 7 to o, which gives o = s + 74.\n6. Substitute s = 7 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 6436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 10; v = e + 6; x = v + 18; a = x + 16; w = g + 16; g = n + 6; n = s + 7; i = s + 7; t = f + 2; e = i + 18; f = w + 10; o = a + 9; s = 7. If s = 7, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 7", "f": "m + 10", "b": "f + 6", "r": "b + 7", "j": "r + 4", "u": "j + 6", "n": "q + 6", "o": "n + 17", "k": "o + 4", "t": "k + 3", "y": "t + 14", "s": "y + 15", "q": 20}, "premises": {"q": 20}, "target": "u"}, "answer": {"steps": [["j", "r + 4", "r + 10"], ["r", "b + 7", "b + 17"], ["b", "f + 6", "f + 23"], ["f", "m + 10", "m + 33"], ["m", "q + 7", "q + 40"], ["q", 20, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"q": 20}, "is_reverse": true}} | 6,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = k + 3; j = r + 4; q = 20; s = y + 15; b = f + 6; k = o + 4; o = n + 17; u = j + 6; y = t + 14; m = q + 7; r = b + 7; n = q + 6; f = m + 10. Given that q = 20, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 4 to u, which gives u = r + 10.\n2. Substitute r = b + 7 to u, which gives u = b + 17.\n3. Substitute b = f + 6 to u, which gives u = f + 23.\n4. Substitute f = m + 10 to u, which gives u = m + 33.\n5. Substitute m = q + 7 to u, which gives u = q + 40.\n6. Substitute q = 20 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 6437,
"question": "Suppose a collection of variables is related by the following definitions: t = k + 3; j = r + 4; q = 20; s = y + 15; b = f + 6; k = o + 4; o = n + 17; u = j + 6; y = t + 14; m = q + 7; r = b + 7; n = q + 6; f = m + 10. Given that q = 20, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 2", "b": "j + 7", "t": "b + 2", "g": "t + 13", "v": "g + 5", "o": "v + 7", "a": "f + 5", "u": "a + 5", "n": "u + 8", "k": "n + 10", "h": "k + 1", "z": "h + 2", "f": 12}, "premises": {"f": 12}, "target": "o"}, "answer": {"steps": [["v", "g + 5", "g + 12"], ["g", "t + 13", "t + 25"], ["t", "b + 2", "b + 27"], ["b", "j + 7", "j + 34"], ["j", "f + 2", "f + 36"], ["f", 12, "48"]], "target_var_name": "o", "target_value": 48, "value_dict": {"f": 12}, "is_reverse": true}} | 6,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 5; u = a + 5; h = k + 1; j = f + 2; t = b + 2; g = t + 13; k = n + 10; f = 12; b = j + 7; z = h + 2; o = v + 7; a = f + 5; n = u + 8. If f = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 5 to o, which gives o = g + 12.\n2. Substitute g = t + 13 to o, which gives o = t + 25.\n3. Substitute t = b + 2 to o, which gives o = b + 27.\n4. Substitute b = j + 7 to o, which gives o = j + 34.\n5. Substitute j = f + 2 to o, which gives o = f + 36.\n6. Substitute f = 12 to o, which gives o = 48.\n\nThus, the final answer is o = \\boxed{48}.",
"index": 6438,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 5; u = a + 5; h = k + 1; j = f + 2; t = b + 2; g = t + 13; k = n + 10; f = 12; b = j + 7; z = h + 2; o = v + 7; a = f + 5; n = u + 8. If f = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 10", "k": "a + 16", "t": "k + 4", "h": "t + 11", "y": "h + 17", "f": "y + 5", "l": "c + 1", "w": "l + 18", "x": "w + 1", "i": "x + 8", "d": "i + 8", "q": "d + 19", "c": 8}, "premises": {"c": 8}, "target": "f"}, "answer": {"steps": [["y", "h + 17", "h + 22"], ["h", "t + 11", "t + 33"], ["t", "k + 4", "k + 37"], ["k", "a + 16", "a + 53"], ["a", "c + 10", "c + 63"], ["c", 8, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"c": 8}, "is_reverse": true}} | 6,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = k + 4; f = y + 5; w = l + 18; y = h + 17; l = c + 1; k = a + 16; q = d + 19; a = c + 10; x = w + 1; d = i + 8; i = x + 8; h = t + 11; c = 8. Given that c = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 17 to f, which gives f = h + 22.\n2. Substitute h = t + 11 to f, which gives f = t + 33.\n3. Substitute t = k + 4 to f, which gives f = k + 37.\n4. Substitute k = a + 16 to f, which gives f = a + 53.\n5. Substitute a = c + 10 to f, which gives f = c + 63.\n6. Substitute c = 8 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 6439,
"question": "Suppose a collection of variables is related by the following definitions: t = k + 4; f = y + 5; w = l + 18; y = h + 17; l = c + 1; k = a + 16; q = d + 19; a = c + 10; x = w + 1; d = i + 8; i = x + 8; h = t + 11; c = 8. Given that c = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 16", "b": "c + 3", "y": "b + 9", "i": "y + 6", "v": "i + 11", "r": "v + 6", "q": "p + 17", "s": "q + 18", "m": "s + 20", "f": "m + 11", "t": "f + 1", "a": "t + 1", "p": 13}, "premises": {"p": 13}, "target": "r"}, "answer": {"steps": [["v", "i + 11", "i + 17"], ["i", "y + 6", "y + 23"], ["y", "b + 9", "b + 32"], ["b", "c + 3", "c + 35"], ["c", "p + 16", "p + 51"], ["p", 13, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"p": 13}, "is_reverse": true}} | 6,440 | 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 = i + 11; y = b + 9; b = c + 3; c = p + 16; m = s + 20; r = v + 6; q = p + 17; a = t + 1; t = f + 1; s = q + 18; f = m + 11; p = 13; i = y + 6. If p = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 11 to r, which gives r = i + 17.\n2. Substitute i = y + 6 to r, which gives r = y + 23.\n3. Substitute y = b + 9 to r, which gives r = b + 32.\n4. Substitute b = c + 3 to r, which gives r = c + 35.\n5. Substitute c = p + 16 to r, which gives r = p + 51.\n6. Substitute p = 13 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 6440,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 11; y = b + 9; b = c + 3; c = p + 16; m = s + 20; r = v + 6; q = p + 17; a = t + 1; t = f + 1; s = q + 18; f = m + 11; p = 13; i = y + 6. If p = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 7", "y": "q + 17", "c": "y + 7", "s": "c + 15", "i": "s + 8", "j": "i + 13", "t": "g + 20", "l": "t + 1", "w": "l + 10", "f": "w + 19", "e": "f + 8", "z": "e + 17", "g": 17}, "premises": {"g": 17}, "target": "j"}, "answer": {"steps": [["i", "s + 8", "s + 21"], ["s", "c + 15", "c + 36"], ["c", "y + 7", "y + 43"], ["y", "q + 17", "q + 60"], ["q", "g + 7", "g + 67"], ["g", 17, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"g": 17}, "is_reverse": true}} | 6,441 | 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 = q + 17; i = s + 8; s = c + 15; w = l + 10; q = g + 7; c = y + 7; e = f + 8; z = e + 17; l = t + 1; g = 17; f = w + 19; j = i + 13; t = g + 20. If g = 17, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 8 to j, which gives j = s + 21.\n2. Substitute s = c + 15 to j, which gives j = c + 36.\n3. Substitute c = y + 7 to j, which gives j = y + 43.\n4. Substitute y = q + 17 to j, which gives j = q + 60.\n5. Substitute q = g + 7 to j, which gives j = g + 67.\n6. Substitute g = 17 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 6441,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 17; i = s + 8; s = c + 15; w = l + 10; q = g + 7; c = y + 7; e = f + 8; z = e + 17; l = t + 1; g = 17; f = w + 19; j = i + 13; t = g + 20. If g = 17, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 6", "k": "j + 9", "r": "k + 7", "x": "r + 9", "l": "x + 4", "m": "l + 8", "h": "t + 8", "n": "h + 15", "d": "n + 16", "w": "d + 17", "e": "w + 4", "s": "e + 2", "t": 11}, "premises": {"t": 11}, "target": "m"}, "answer": {"steps": [["l", "x + 4", "x + 12"], ["x", "r + 9", "r + 21"], ["r", "k + 7", "k + 28"], ["k", "j + 9", "j + 37"], ["j", "t + 6", "t + 43"], ["t", 11, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"t": 11}, "is_reverse": true}} | 6,442 | 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 = t + 8; t = 11; l = x + 4; w = d + 17; r = k + 7; x = r + 9; n = h + 15; e = w + 4; k = j + 9; s = e + 2; m = l + 8; d = n + 16; j = t + 6. If t = 11, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 4 to m, which gives m = x + 12.\n2. Substitute x = r + 9 to m, which gives m = r + 21.\n3. Substitute r = k + 7 to m, which gives m = k + 28.\n4. Substitute k = j + 9 to m, which gives m = j + 37.\n5. Substitute j = t + 6 to m, which gives m = t + 43.\n6. Substitute t = 11 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 6442,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 8; t = 11; l = x + 4; w = d + 17; r = k + 7; x = r + 9; n = h + 15; e = w + 4; k = j + 9; s = e + 2; m = l + 8; d = n + 16; j = t + 6. If t = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 20", "v": "u + 12", "h": "v + 1", "e": "h + 16", "z": "e + 8", "m": "z + 13", "k": "x + 3", "a": "k + 20", "f": "a + 12", "s": "f + 10", "w": "s + 4", "d": "w + 19", "x": 19}, "premises": {"x": 19}, "target": "m"}, "answer": {"steps": [["z", "e + 8", "e + 21"], ["e", "h + 16", "h + 37"], ["h", "v + 1", "v + 38"], ["v", "u + 12", "u + 50"], ["u", "x + 20", "x + 70"], ["x", 19, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"x": 19}, "is_reverse": true}} | 6,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 1; s = f + 10; m = z + 13; f = a + 12; x = 19; k = x + 3; a = k + 20; e = h + 16; v = u + 12; w = s + 4; z = e + 8; d = w + 19; u = x + 20. If x = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 8 to m, which gives m = e + 21.\n2. Substitute e = h + 16 to m, which gives m = h + 37.\n3. Substitute h = v + 1 to m, which gives m = v + 38.\n4. Substitute v = u + 12 to m, which gives m = u + 50.\n5. Substitute u = x + 20 to m, which gives m = x + 70.\n6. Substitute x = 19 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 6443,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 1; s = f + 10; m = z + 13; f = a + 12; x = 19; k = x + 3; a = k + 20; e = h + 16; v = u + 12; w = s + 4; z = e + 8; d = w + 19; u = x + 20. If x = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 7", "a": "k + 4", "t": "a + 14", "b": "t + 9", "e": "b + 11", "o": "e + 11", "j": "r + 16", "g": "j + 11", "z": "g + 18", "d": "z + 15", "p": "d + 10", "v": "p + 15", "r": 10}, "premises": {"r": 10}, "target": "o"}, "answer": {"steps": [["e", "b + 11", "b + 22"], ["b", "t + 9", "t + 31"], ["t", "a + 14", "a + 45"], ["a", "k + 4", "k + 49"], ["k", "r + 7", "r + 56"], ["r", 10, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"r": 10}, "is_reverse": true}} | 6,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 4; v = p + 15; g = j + 11; d = z + 15; o = e + 11; t = a + 14; p = d + 10; b = t + 9; j = r + 16; r = 10; e = b + 11; k = r + 7; z = g + 18. Given that r = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 11 to o, which gives o = b + 22.\n2. Substitute b = t + 9 to o, which gives o = t + 31.\n3. Substitute t = a + 14 to o, which gives o = a + 45.\n4. Substitute a = k + 4 to o, which gives o = k + 49.\n5. Substitute k = r + 7 to o, which gives o = r + 56.\n6. Substitute r = 10 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 6444,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 4; v = p + 15; g = j + 11; d = z + 15; o = e + 11; t = a + 14; p = d + 10; b = t + 9; j = r + 16; r = 10; e = b + 11; k = r + 7; z = g + 18. Given that r = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 1", "t": "h + 14", "s": "t + 15", "r": "s + 12", "a": "r + 8", "m": "a + 15", "e": "c + 19", "j": "e + 20", "u": "j + 9", "n": "u + 20", "o": "n + 13", "q": "o + 5", "c": 9}, "premises": {"c": 9}, "target": "m"}, "answer": {"steps": [["a", "r + 8", "r + 23"], ["r", "s + 12", "s + 35"], ["s", "t + 15", "t + 50"], ["t", "h + 14", "h + 64"], ["h", "c + 1", "c + 65"], ["c", 9, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"c": 9}, "is_reverse": true}} | 6,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 5; n = u + 20; u = j + 9; e = c + 19; h = c + 1; c = 9; t = h + 14; r = s + 12; m = a + 15; o = n + 13; j = e + 20; a = r + 8; s = t + 15. If c = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 8 to m, which gives m = r + 23.\n2. Substitute r = s + 12 to m, which gives m = s + 35.\n3. Substitute s = t + 15 to m, which gives m = t + 50.\n4. Substitute t = h + 14 to m, which gives m = h + 64.\n5. Substitute h = c + 1 to m, which gives m = c + 65.\n6. Substitute c = 9 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 6445,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 5; n = u + 20; u = j + 9; e = c + 19; h = c + 1; c = 9; t = h + 14; r = s + 12; m = a + 15; o = n + 13; j = e + 20; a = r + 8; s = t + 15. If c = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 4", "d": "q + 11", "z": "d + 8", "v": "z + 18", "e": "v + 4", "o": "e + 9", "w": "h + 13", "i": "w + 15", "k": "i + 6", "u": "k + 17", "b": "u + 17", "a": "b + 7", "h": 14}, "premises": {"h": 14}, "target": "o"}, "answer": {"steps": [["e", "v + 4", "v + 13"], ["v", "z + 18", "z + 31"], ["z", "d + 8", "d + 39"], ["d", "q + 11", "q + 50"], ["q", "h + 4", "h + 54"], ["h", 14, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"h": 14}, "is_reverse": true}} | 6,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = w + 15; o = e + 9; e = v + 4; v = z + 18; w = h + 13; a = b + 7; b = u + 17; q = h + 4; d = q + 11; u = k + 17; z = d + 8; k = i + 6; h = 14. If h = 14, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 4 to o, which gives o = v + 13.\n2. Substitute v = z + 18 to o, which gives o = z + 31.\n3. Substitute z = d + 8 to o, which gives o = d + 39.\n4. Substitute d = q + 11 to o, which gives o = q + 50.\n5. Substitute q = h + 4 to o, which gives o = h + 54.\n6. Substitute h = 14 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 6446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = w + 15; o = e + 9; e = v + 4; v = z + 18; w = h + 13; a = b + 7; b = u + 17; q = h + 4; d = q + 11; u = k + 17; z = d + 8; k = i + 6; h = 14. If h = 14, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 20", "w": "n + 7", "r": "w + 4", "c": "r + 4", "v": "c + 15", "t": "v + 1", "b": "h + 4", "f": "b + 18", "i": "f + 3", "d": "i + 13", "o": "d + 17", "g": "o + 16", "h": 15}, "premises": {"h": 15}, "target": "t"}, "answer": {"steps": [["v", "c + 15", "c + 16"], ["c", "r + 4", "r + 20"], ["r", "w + 4", "w + 24"], ["w", "n + 7", "n + 31"], ["n", "h + 20", "h + 51"], ["h", 15, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"h": 15}, "is_reverse": true}} | 6,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 1; i = f + 3; o = d + 17; r = w + 4; v = c + 15; g = o + 16; b = h + 4; c = r + 4; w = n + 7; n = h + 20; d = i + 13; h = 15; f = b + 18. If h = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 15 to t, which gives t = c + 16.\n2. Substitute c = r + 4 to t, which gives t = r + 20.\n3. Substitute r = w + 4 to t, which gives t = w + 24.\n4. Substitute w = n + 7 to t, which gives t = n + 31.\n5. Substitute n = h + 20 to t, which gives t = h + 51.\n6. Substitute h = 15 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 6447,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 1; i = f + 3; o = d + 17; r = w + 4; v = c + 15; g = o + 16; b = h + 4; c = r + 4; w = n + 7; n = h + 20; d = i + 13; h = 15; f = b + 18. If h = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 19", "e": "r + 19", "y": "e + 8", "g": "y + 9", "d": "g + 12", "z": "d + 9", "l": "b + 12", "k": "l + 8", "t": "k + 18", "o": "t + 2", "c": "o + 8", "q": "c + 16", "b": 18}, "premises": {"b": 18}, "target": "z"}, "answer": {"steps": [["d", "g + 12", "g + 21"], ["g", "y + 9", "y + 30"], ["y", "e + 8", "e + 38"], ["e", "r + 19", "r + 57"], ["r", "b + 19", "b + 76"], ["b", 18, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"b": 18}, "is_reverse": true}} | 6,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 8; e = r + 19; z = d + 9; o = t + 2; d = g + 12; b = 18; c = o + 8; q = c + 16; r = b + 19; l = b + 12; g = y + 9; k = l + 8; t = k + 18. Given that b = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 12 to z, which gives z = g + 21.\n2. Substitute g = y + 9 to z, which gives z = y + 30.\n3. Substitute y = e + 8 to z, which gives z = e + 38.\n4. Substitute e = r + 19 to z, which gives z = r + 57.\n5. Substitute r = b + 19 to z, which gives z = b + 76.\n6. Substitute b = 18 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 6448,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 8; e = r + 19; z = d + 9; o = t + 2; d = g + 12; b = 18; c = o + 8; q = c + 16; r = b + 19; l = b + 12; g = y + 9; k = l + 8; t = k + 18. Given that b = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 5", "t": "l + 8", "n": "t + 5", "k": "n + 16", "e": "k + 9", "o": "e + 6", "w": "v + 11", "u": "w + 12", "m": "u + 2", "h": "m + 9", "z": "h + 4", "b": "z + 12", "v": 11}, "premises": {"v": 11}, "target": "o"}, "answer": {"steps": [["e", "k + 9", "k + 15"], ["k", "n + 16", "n + 31"], ["n", "t + 5", "t + 36"], ["t", "l + 8", "l + 44"], ["l", "v + 5", "v + 49"], ["v", 11, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"v": 11}, "is_reverse": true}} | 6,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 5; t = l + 8; v = 11; h = m + 9; e = k + 9; u = w + 12; k = n + 16; w = v + 11; b = z + 12; o = e + 6; z = h + 4; n = t + 5; m = u + 2. If v = 11, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 9 to o, which gives o = k + 15.\n2. Substitute k = n + 16 to o, which gives o = n + 31.\n3. Substitute n = t + 5 to o, which gives o = t + 36.\n4. Substitute t = l + 8 to o, which gives o = l + 44.\n5. Substitute l = v + 5 to o, which gives o = v + 49.\n6. Substitute v = 11 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 6449,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 5; t = l + 8; v = 11; h = m + 9; e = k + 9; u = w + 12; k = n + 16; w = v + 11; b = z + 12; o = e + 6; z = h + 4; n = t + 5; m = u + 2. If v = 11, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 17", "w": "i + 11", "k": "w + 14", "x": "k + 14", "o": "x + 7", "u": "o + 13", "r": "t + 19", "j": "r + 10", "y": "j + 6", "h": "y + 13", "a": "h + 7", "q": "a + 14", "t": 15}, "premises": {"t": 15}, "target": "u"}, "answer": {"steps": [["o", "x + 7", "x + 20"], ["x", "k + 14", "k + 34"], ["k", "w + 14", "w + 48"], ["w", "i + 11", "i + 59"], ["i", "t + 17", "t + 76"], ["t", 15, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"t": 15}, "is_reverse": true}} | 6,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 6; a = h + 7; i = t + 17; k = w + 14; r = t + 19; o = x + 7; h = y + 13; q = a + 14; t = 15; w = i + 11; x = k + 14; j = r + 10; u = o + 13. If t = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 7 to u, which gives u = x + 20.\n2. Substitute x = k + 14 to u, which gives u = k + 34.\n3. Substitute k = w + 14 to u, which gives u = w + 48.\n4. Substitute w = i + 11 to u, which gives u = i + 59.\n5. Substitute i = t + 17 to u, which gives u = t + 76.\n6. Substitute t = 15 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 6450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 6; a = h + 7; i = t + 17; k = w + 14; r = t + 19; o = x + 7; h = y + 13; q = a + 14; t = 15; w = i + 11; x = k + 14; j = r + 10; u = o + 13. If t = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 19", "i": "e + 13", "g": "i + 9", "w": "g + 13", "r": "w + 4", "q": "r + 8", "d": "s + 11", "j": "d + 10", "b": "j + 11", "k": "b + 17", "m": "k + 20", "n": "m + 19", "s": 8}, "premises": {"s": 8}, "target": "q"}, "answer": {"steps": [["r", "w + 4", "w + 12"], ["w", "g + 13", "g + 25"], ["g", "i + 9", "i + 34"], ["i", "e + 13", "e + 47"], ["e", "s + 19", "s + 66"], ["s", 8, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"s": 8}, "is_reverse": true}} | 6,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 9; n = m + 19; q = r + 8; b = j + 11; w = g + 13; j = d + 10; m = k + 20; s = 8; k = b + 17; d = s + 11; r = w + 4; i = e + 13; e = s + 19. Given that s = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 4 to q, which gives q = w + 12.\n2. Substitute w = g + 13 to q, which gives q = g + 25.\n3. Substitute g = i + 9 to q, which gives q = i + 34.\n4. Substitute i = e + 13 to q, which gives q = e + 47.\n5. Substitute e = s + 19 to q, which gives q = s + 66.\n6. Substitute s = 8 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 6451,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 9; n = m + 19; q = r + 8; b = j + 11; w = g + 13; j = d + 10; m = k + 20; s = 8; k = b + 17; d = s + 11; r = w + 4; i = e + 13; e = s + 19. Given that s = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 14", "k": "n + 17", "j": "k + 14", "l": "j + 3", "m": "l + 7", "t": "m + 12", "w": "r + 8", "c": "w + 5", "o": "c + 9", "i": "o + 11", "p": "i + 3", "z": "p + 13", "r": 12}, "premises": {"r": 12}, "target": "t"}, "answer": {"steps": [["m", "l + 7", "l + 19"], ["l", "j + 3", "j + 22"], ["j", "k + 14", "k + 36"], ["k", "n + 17", "n + 53"], ["n", "r + 14", "r + 67"], ["r", 12, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"r": 12}, "is_reverse": true}} | 6,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 13; m = l + 7; o = c + 9; l = j + 3; k = n + 17; i = o + 11; r = 12; p = i + 3; j = k + 14; w = r + 8; n = r + 14; c = w + 5; t = m + 12. If r = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 7 to t, which gives t = l + 19.\n2. Substitute l = j + 3 to t, which gives t = j + 22.\n3. Substitute j = k + 14 to t, which gives t = k + 36.\n4. Substitute k = n + 17 to t, which gives t = n + 53.\n5. Substitute n = r + 14 to t, which gives t = r + 67.\n6. Substitute r = 12 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 6452,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 13; m = l + 7; o = c + 9; l = j + 3; k = n + 17; i = o + 11; r = 12; p = i + 3; j = k + 14; w = r + 8; n = r + 14; c = w + 5; t = m + 12. If r = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 9", "w": "q + 12", "h": "w + 12", "d": "h + 8", "v": "d + 9", "e": "v + 18", "l": "r + 7", "j": "l + 4", "a": "j + 13", "k": "a + 15", "s": "k + 5", "y": "s + 3", "r": 13}, "premises": {"r": 13}, "target": "e"}, "answer": {"steps": [["v", "d + 9", "d + 27"], ["d", "h + 8", "h + 35"], ["h", "w + 12", "w + 47"], ["w", "q + 12", "q + 59"], ["q", "r + 9", "r + 68"], ["r", 13, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"r": 13}, "is_reverse": true}} | 6,453 | 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 = j + 13; v = d + 9; s = k + 5; d = h + 8; k = a + 15; q = r + 9; r = 13; y = s + 3; l = r + 7; j = l + 4; e = v + 18; w = q + 12; h = w + 12. If r = 13, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 9 to e, which gives e = d + 27.\n2. Substitute d = h + 8 to e, which gives e = h + 35.\n3. Substitute h = w + 12 to e, which gives e = w + 47.\n4. Substitute w = q + 12 to e, which gives e = q + 59.\n5. Substitute q = r + 9 to e, which gives e = r + 68.\n6. Substitute r = 13 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 6453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 13; v = d + 9; s = k + 5; d = h + 8; k = a + 15; q = r + 9; r = 13; y = s + 3; l = r + 7; j = l + 4; e = v + 18; w = q + 12; h = w + 12. If r = 13, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 13", "y": "g + 7", "b": "y + 8", "x": "b + 10", "h": "x + 9", "z": "h + 15", "s": "n + 16", "q": "s + 10", "p": "q + 11", "l": "p + 9", "o": "l + 13", "t": "o + 3", "n": 3}, "premises": {"n": 3}, "target": "z"}, "answer": {"steps": [["h", "x + 9", "x + 24"], ["x", "b + 10", "b + 34"], ["b", "y + 8", "y + 42"], ["y", "g + 7", "g + 49"], ["g", "n + 13", "n + 62"], ["n", 3, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"n": 3}, "is_reverse": true}} | 6,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 10; z = h + 15; t = o + 3; p = q + 11; b = y + 8; q = s + 10; g = n + 13; s = n + 16; o = l + 13; l = p + 9; y = g + 7; n = 3; h = x + 9. If n = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 9 to z, which gives z = x + 24.\n2. Substitute x = b + 10 to z, which gives z = b + 34.\n3. Substitute b = y + 8 to z, which gives z = y + 42.\n4. Substitute y = g + 7 to z, which gives z = g + 49.\n5. Substitute g = n + 13 to z, which gives z = n + 62.\n6. Substitute n = 3 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 6454,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 10; z = h + 15; t = o + 3; p = q + 11; b = y + 8; q = s + 10; g = n + 13; s = n + 16; o = l + 13; l = p + 9; y = g + 7; n = 3; h = x + 9. If n = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 17", "e": "n + 15", "w": "e + 11", "z": "w + 10", "t": "z + 2", "k": "t + 13", "h": "b + 14", "s": "h + 16", "p": "s + 15", "u": "p + 11", "d": "u + 5", "f": "d + 15", "b": 17}, "premises": {"b": 17}, "target": "k"}, "answer": {"steps": [["t", "z + 2", "z + 15"], ["z", "w + 10", "w + 25"], ["w", "e + 11", "e + 36"], ["e", "n + 15", "n + 51"], ["n", "b + 17", "b + 68"], ["b", 17, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"b": 17}, "is_reverse": true}} | 6,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = h + 16; t = z + 2; p = s + 15; k = t + 13; w = e + 11; h = b + 14; f = d + 15; e = n + 15; d = u + 5; z = w + 10; u = p + 11; n = b + 17; b = 17. If b = 17, determine 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 = z + 2 to k, which gives k = z + 15.\n2. Substitute z = w + 10 to k, which gives k = w + 25.\n3. Substitute w = e + 11 to k, which gives k = e + 36.\n4. Substitute e = n + 15 to k, which gives k = n + 51.\n5. Substitute n = b + 17 to k, which gives k = b + 68.\n6. Substitute b = 17 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 6455,
"question": "Consider a system of variables where each variable is defined as follows: s = h + 16; t = z + 2; p = s + 15; k = t + 13; w = e + 11; h = b + 14; f = d + 15; e = n + 15; d = u + 5; z = w + 10; u = p + 11; n = b + 17; b = 17. If b = 17, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 14", "g": "t + 19", "w": "g + 4", "y": "w + 4", "a": "y + 3", "v": "a + 5", "l": "z + 4", "x": "l + 8", "n": "x + 11", "k": "n + 6", "j": "k + 18", "e": "j + 9", "z": 13}, "premises": {"z": 13}, "target": "v"}, "answer": {"steps": [["a", "y + 3", "y + 8"], ["y", "w + 4", "w + 12"], ["w", "g + 4", "g + 16"], ["g", "t + 19", "t + 35"], ["t", "z + 14", "z + 49"], ["z", 13, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"z": 13}, "is_reverse": true}} | 6,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 4; j = k + 18; g = t + 19; v = a + 5; w = g + 4; t = z + 14; a = y + 3; l = z + 4; e = j + 9; z = 13; n = x + 11; k = n + 6; x = l + 8. If z = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 3 to v, which gives v = y + 8.\n2. Substitute y = w + 4 to v, which gives v = w + 12.\n3. Substitute w = g + 4 to v, which gives v = g + 16.\n4. Substitute g = t + 19 to v, which gives v = t + 35.\n5. Substitute t = z + 14 to v, which gives v = z + 49.\n6. Substitute z = 13 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 6456,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 4; j = k + 18; g = t + 19; v = a + 5; w = g + 4; t = z + 14; a = y + 3; l = z + 4; e = j + 9; z = 13; n = x + 11; k = n + 6; x = l + 8. If z = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 3", "o": "q + 10", "a": "o + 1", "j": "a + 19", "t": "j + 10", "u": "t + 19", "d": "c + 18", "v": "d + 19", "g": "v + 12", "i": "g + 5", "w": "i + 4", "y": "w + 20", "c": 13}, "premises": {"c": 13}, "target": "u"}, "answer": {"steps": [["t", "j + 10", "j + 29"], ["j", "a + 19", "a + 48"], ["a", "o + 1", "o + 49"], ["o", "q + 10", "q + 59"], ["q", "c + 3", "c + 62"], ["c", 13, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"c": 13}, "is_reverse": true}} | 6,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 10; w = i + 4; q = c + 3; d = c + 18; y = w + 20; v = d + 19; i = g + 5; a = o + 1; o = q + 10; u = t + 19; c = 13; j = a + 19; g = v + 12. If c = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 10 to u, which gives u = j + 29.\n2. Substitute j = a + 19 to u, which gives u = a + 48.\n3. Substitute a = o + 1 to u, which gives u = o + 49.\n4. Substitute o = q + 10 to u, which gives u = q + 59.\n5. Substitute q = c + 3 to u, which gives u = c + 62.\n6. Substitute c = 13 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 6457,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 10; w = i + 4; q = c + 3; d = c + 18; y = w + 20; v = d + 19; i = g + 5; a = o + 1; o = q + 10; u = t + 19; c = 13; j = a + 19; g = v + 12. If c = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 2", "t": "y + 19", "q": "t + 18", "x": "q + 5", "w": "x + 3", "z": "w + 19", "k": "f + 4", "p": "k + 11", "o": "p + 18", "g": "o + 16", "i": "g + 13", "l": "i + 16", "f": 11}, "premises": {"f": 11}, "target": "z"}, "answer": {"steps": [["w", "x + 3", "x + 22"], ["x", "q + 5", "q + 27"], ["q", "t + 18", "t + 45"], ["t", "y + 19", "y + 64"], ["y", "f + 2", "f + 66"], ["f", 11, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"f": 11}, "is_reverse": true}} | 6,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 19; y = f + 2; w = x + 3; l = i + 16; p = k + 11; o = p + 18; f = 11; k = f + 4; q = t + 18; t = y + 19; x = q + 5; g = o + 16; i = g + 13. If f = 11, 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 w = x + 3 to z, which gives z = x + 22.\n2. Substitute x = q + 5 to z, which gives z = q + 27.\n3. Substitute q = t + 18 to z, which gives z = t + 45.\n4. Substitute t = y + 19 to z, which gives z = y + 64.\n5. Substitute y = f + 2 to z, which gives z = f + 66.\n6. Substitute f = 11 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 6458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 19; y = f + 2; w = x + 3; l = i + 16; p = k + 11; o = p + 18; f = 11; k = f + 4; q = t + 18; t = y + 19; x = q + 5; g = o + 16; i = g + 13. If f = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 18", "k": "g + 16", "s": "k + 7", "f": "s + 2", "e": "f + 10", "a": "e + 11", "p": "y + 1", "o": "p + 5", "t": "o + 15", "b": "t + 3", "v": "b + 17", "n": "v + 17", "y": 17}, "premises": {"y": 17}, "target": "a"}, "answer": {"steps": [["e", "f + 10", "f + 21"], ["f", "s + 2", "s + 23"], ["s", "k + 7", "k + 30"], ["k", "g + 16", "g + 46"], ["g", "y + 18", "y + 64"], ["y", 17, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"y": 17}, "is_reverse": true}} | 6,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 17; b = t + 3; a = e + 11; g = y + 18; t = o + 15; v = b + 17; s = k + 7; k = g + 16; f = s + 2; p = y + 1; e = f + 10; o = p + 5; n = v + 17. Given that y = 17, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 10 to a, which gives a = f + 21.\n2. Substitute f = s + 2 to a, which gives a = s + 23.\n3. Substitute s = k + 7 to a, which gives a = k + 30.\n4. Substitute k = g + 16 to a, which gives a = g + 46.\n5. Substitute g = y + 18 to a, which gives a = y + 64.\n6. Substitute y = 17 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 6459,
"question": "Suppose a collection of variables is related by the following definitions: y = 17; b = t + 3; a = e + 11; g = y + 18; t = o + 15; v = b + 17; s = k + 7; k = g + 16; f = s + 2; p = y + 1; e = f + 10; o = p + 5; n = v + 17. Given that y = 17, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 4", "u": "t + 5", "p": "u + 20", "z": "p + 16", "m": "z + 10", "q": "m + 7", "e": "x + 7", "r": "e + 5", "v": "r + 13", "h": "v + 16", "k": "h + 13", "d": "k + 6", "x": 13}, "premises": {"x": 13}, "target": "q"}, "answer": {"steps": [["m", "z + 10", "z + 17"], ["z", "p + 16", "p + 33"], ["p", "u + 20", "u + 53"], ["u", "t + 5", "t + 58"], ["t", "x + 4", "x + 62"], ["x", 13, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"x": 13}, "is_reverse": true}} | 6,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 5; m = z + 10; t = x + 4; v = r + 13; h = v + 16; e = x + 7; x = 13; d = k + 6; z = p + 16; k = h + 13; u = t + 5; p = u + 20; q = m + 7. If x = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 10 to q, which gives q = z + 17.\n2. Substitute z = p + 16 to q, which gives q = p + 33.\n3. Substitute p = u + 20 to q, which gives q = u + 53.\n4. Substitute u = t + 5 to q, which gives q = t + 58.\n5. Substitute t = x + 4 to q, which gives q = x + 62.\n6. Substitute x = 13 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 6460,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 5; m = z + 10; t = x + 4; v = r + 13; h = v + 16; e = x + 7; x = 13; d = k + 6; z = p + 16; k = h + 13; u = t + 5; p = u + 20; q = m + 7. If x = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 14", "y": "n + 2", "h": "y + 1", "t": "h + 19", "u": "t + 5", "w": "u + 10", "s": "k + 4", "l": "s + 4", "f": "l + 19", "x": "f + 2", "q": "x + 1", "j": "q + 2", "k": 3}, "premises": {"k": 3}, "target": "w"}, "answer": {"steps": [["u", "t + 5", "t + 15"], ["t", "h + 19", "h + 34"], ["h", "y + 1", "y + 35"], ["y", "n + 2", "n + 37"], ["n", "k + 14", "k + 51"], ["k", 3, "54"]], "target_var_name": "w", "target_value": 54, "value_dict": {"k": 3}, "is_reverse": true}} | 6,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 4; t = h + 19; s = k + 4; n = k + 14; h = y + 1; u = t + 5; j = q + 2; f = l + 19; w = u + 10; q = x + 1; x = f + 2; y = n + 2; k = 3. If k = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 5 to w, which gives w = t + 15.\n2. Substitute t = h + 19 to w, which gives w = h + 34.\n3. Substitute h = y + 1 to w, which gives w = y + 35.\n4. Substitute y = n + 2 to w, which gives w = n + 37.\n5. Substitute n = k + 14 to w, which gives w = k + 51.\n6. Substitute k = 3 to w, which gives w = 54.\n\nThus, the final answer is w = \\boxed{54}.",
"index": 6461,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 4; t = h + 19; s = k + 4; n = k + 14; h = y + 1; u = t + 5; j = q + 2; f = l + 19; w = u + 10; q = x + 1; x = f + 2; y = n + 2; k = 3. If k = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 15", "l": "q + 4", "n": "l + 9", "t": "n + 17", "w": "t + 1", "f": "w + 13", "v": "k + 13", "m": "v + 3", "a": "m + 1", "r": "a + 11", "z": "r + 11", "u": "z + 1", "k": 5}, "premises": {"k": 5}, "target": "f"}, "answer": {"steps": [["w", "t + 1", "t + 14"], ["t", "n + 17", "n + 31"], ["n", "l + 9", "l + 40"], ["l", "q + 4", "q + 44"], ["q", "k + 15", "k + 59"], ["k", 5, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"k": 5}, "is_reverse": true}} | 6,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 3; a = m + 1; k = 5; u = z + 1; l = q + 4; r = a + 11; q = k + 15; n = l + 9; w = t + 1; v = k + 13; t = n + 17; z = r + 11; f = w + 13. If k = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 1 to f, which gives f = t + 14.\n2. Substitute t = n + 17 to f, which gives f = n + 31.\n3. Substitute n = l + 9 to f, which gives f = l + 40.\n4. Substitute l = q + 4 to f, which gives f = q + 44.\n5. Substitute q = k + 15 to f, which gives f = k + 59.\n6. Substitute k = 5 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 6462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = v + 3; a = m + 1; k = 5; u = z + 1; l = q + 4; r = a + 11; q = k + 15; n = l + 9; w = t + 1; v = k + 13; t = n + 17; z = r + 11; f = w + 13. If k = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 11", "n": "o + 13", "j": "n + 6", "e": "j + 20", "s": "e + 13", "m": "s + 2", "q": "r + 9", "u": "q + 14", "l": "u + 20", "v": "l + 15", "a": "v + 11", "p": "a + 15", "r": 17}, "premises": {"r": 17}, "target": "m"}, "answer": {"steps": [["s", "e + 13", "e + 15"], ["e", "j + 20", "j + 35"], ["j", "n + 6", "n + 41"], ["n", "o + 13", "o + 54"], ["o", "r + 11", "r + 65"], ["r", 17, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"r": 17}, "is_reverse": true}} | 6,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 11; v = l + 15; l = u + 20; s = e + 13; n = o + 13; p = a + 15; q = r + 9; r = 17; a = v + 11; e = j + 20; j = n + 6; u = q + 14; m = s + 2. If r = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 13 to m, which gives m = e + 15.\n2. Substitute e = j + 20 to m, which gives m = j + 35.\n3. Substitute j = n + 6 to m, which gives m = n + 41.\n4. Substitute n = o + 13 to m, which gives m = o + 54.\n5. Substitute o = r + 11 to m, which gives m = r + 65.\n6. Substitute r = 17 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 6463,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 11; v = l + 15; l = u + 20; s = e + 13; n = o + 13; p = a + 15; q = r + 9; r = 17; a = v + 11; e = j + 20; j = n + 6; u = q + 14; m = s + 2. If r = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 10", "z": "l + 20", "s": "z + 20", "c": "s + 15", "d": "c + 4", "e": "d + 18", "t": "y + 1", "q": "t + 7", "b": "q + 4", "x": "b + 4", "v": "x + 12", "f": "v + 2", "y": 6}, "premises": {"y": 6}, "target": "e"}, "answer": {"steps": [["d", "c + 4", "c + 22"], ["c", "s + 15", "s + 37"], ["s", "z + 20", "z + 57"], ["z", "l + 20", "l + 77"], ["l", "y + 10", "y + 87"], ["y", 6, "93"]], "target_var_name": "e", "target_value": 93, "value_dict": {"y": 6}, "is_reverse": true}} | 6,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 15; b = q + 4; t = y + 1; y = 6; f = v + 2; x = b + 4; z = l + 20; v = x + 12; e = d + 18; l = y + 10; s = z + 20; q = t + 7; d = c + 4. Given that y = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 4 to e, which gives e = c + 22.\n2. Substitute c = s + 15 to e, which gives e = s + 37.\n3. Substitute s = z + 20 to e, which gives e = z + 57.\n4. Substitute z = l + 20 to e, which gives e = l + 77.\n5. Substitute l = y + 10 to e, which gives e = y + 87.\n6. Substitute y = 6 to e, which gives e = 93.\n\nThus, the final answer is e = \\boxed{93}.",
"index": 6464,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 15; b = q + 4; t = y + 1; y = 6; f = v + 2; x = b + 4; z = l + 20; v = x + 12; e = d + 18; l = y + 10; s = z + 20; q = t + 7; d = c + 4. Given that y = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 14", "m": "i + 5", "x": "m + 16", "b": "x + 6", "p": "b + 8", "f": "p + 2", "q": "s + 13", "h": "q + 20", "d": "h + 6", "a": "d + 15", "e": "a + 1", "c": "e + 9", "s": 18}, "premises": {"s": 18}, "target": "f"}, "answer": {"steps": [["p", "b + 8", "b + 10"], ["b", "x + 6", "x + 16"], ["x", "m + 16", "m + 32"], ["m", "i + 5", "i + 37"], ["i", "s + 14", "s + 51"], ["s", 18, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"s": 18}, "is_reverse": true}} | 6,465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 20; d = h + 6; q = s + 13; c = e + 9; i = s + 14; a = d + 15; b = x + 6; s = 18; p = b + 8; m = i + 5; f = p + 2; x = m + 16; e = a + 1. Given that s = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 8 to f, which gives f = b + 10.\n2. Substitute b = x + 6 to f, which gives f = x + 16.\n3. Substitute x = m + 16 to f, which gives f = m + 32.\n4. Substitute m = i + 5 to f, which gives f = i + 37.\n5. Substitute i = s + 14 to f, which gives f = s + 51.\n6. Substitute s = 18 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 6465,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 20; d = h + 6; q = s + 13; c = e + 9; i = s + 14; a = d + 15; b = x + 6; s = 18; p = b + 8; m = i + 5; f = p + 2; x = m + 16; e = a + 1. Given that s = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 10", "m": "f + 2", "i": "m + 6", "r": "i + 5", "o": "r + 15", "g": "o + 19", "s": "p + 19", "j": "s + 20", "u": "j + 18", "l": "u + 11", "h": "l + 11", "x": "h + 17", "p": 2}, "premises": {"p": 2}, "target": "g"}, "answer": {"steps": [["o", "r + 15", "r + 34"], ["r", "i + 5", "i + 39"], ["i", "m + 6", "m + 45"], ["m", "f + 2", "f + 47"], ["f", "p + 10", "p + 57"], ["p", 2, "59"]], "target_var_name": "g", "target_value": 59, "value_dict": {"p": 2}, "is_reverse": true}} | 6,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 19; u = j + 18; m = f + 2; f = p + 10; o = r + 15; h = l + 11; l = u + 11; j = s + 20; i = m + 6; s = p + 19; r = i + 5; p = 2; x = h + 17. Given that p = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 15 to g, which gives g = r + 34.\n2. Substitute r = i + 5 to g, which gives g = i + 39.\n3. Substitute i = m + 6 to g, which gives g = m + 45.\n4. Substitute m = f + 2 to g, which gives g = f + 47.\n5. Substitute f = p + 10 to g, which gives g = p + 57.\n6. Substitute p = 2 to g, which gives g = 59.\n\nThus, the final answer is g = \\boxed{59}.",
"index": 6466,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 19; u = j + 18; m = f + 2; f = p + 10; o = r + 15; h = l + 11; l = u + 11; j = s + 20; i = m + 6; s = p + 19; r = i + 5; p = 2; x = h + 17. Given that p = 2, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 13", "h": "j + 5", "z": "h + 2", "k": "z + 10", "u": "k + 16", "s": "u + 17", "b": "a + 7", "g": "b + 19", "t": "g + 14", "l": "t + 19", "f": "l + 10", "x": "f + 18", "a": 1}, "premises": {"a": 1}, "target": "s"}, "answer": {"steps": [["u", "k + 16", "k + 33"], ["k", "z + 10", "z + 43"], ["z", "h + 2", "h + 45"], ["h", "j + 5", "j + 50"], ["j", "a + 13", "a + 63"], ["a", 1, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"a": 1}, "is_reverse": true}} | 6,467 | 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 = 1; u = k + 16; l = t + 19; k = z + 10; z = h + 2; g = b + 19; j = a + 13; x = f + 18; h = j + 5; t = g + 14; b = a + 7; f = l + 10; s = u + 17. If a = 1, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 16 to s, which gives s = k + 33.\n2. Substitute k = z + 10 to s, which gives s = z + 43.\n3. Substitute z = h + 2 to s, which gives s = h + 45.\n4. Substitute h = j + 5 to s, which gives s = j + 50.\n5. Substitute j = a + 13 to s, which gives s = a + 63.\n6. Substitute a = 1 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 6467,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 1; u = k + 16; l = t + 19; k = z + 10; z = h + 2; g = b + 19; j = a + 13; x = f + 18; h = j + 5; t = g + 14; b = a + 7; f = l + 10; s = u + 17. If a = 1, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 18", "a": "c + 1", "v": "a + 7", "y": "v + 17", "u": "y + 8", "j": "u + 12", "p": "z + 8", "t": "p + 12", "e": "t + 16", "d": "e + 15", "m": "d + 15", "r": "m + 11", "z": 8}, "premises": {"z": 8}, "target": "j"}, "answer": {"steps": [["u", "y + 8", "y + 20"], ["y", "v + 17", "v + 37"], ["v", "a + 7", "a + 44"], ["a", "c + 1", "c + 45"], ["c", "z + 18", "z + 63"], ["z", 8, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"z": 8}, "is_reverse": true}} | 6,468 | 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 = z + 18; z = 8; a = c + 1; u = y + 8; y = v + 17; t = p + 12; e = t + 16; r = m + 11; m = d + 15; d = e + 15; v = a + 7; j = u + 12; p = z + 8. If z = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 8 to j, which gives j = y + 20.\n2. Substitute y = v + 17 to j, which gives j = v + 37.\n3. Substitute v = a + 7 to j, which gives j = a + 44.\n4. Substitute a = c + 1 to j, which gives j = c + 45.\n5. Substitute c = z + 18 to j, which gives j = z + 63.\n6. Substitute z = 8 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 6468,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 18; z = 8; a = c + 1; u = y + 8; y = v + 17; t = p + 12; e = t + 16; r = m + 11; m = d + 15; d = e + 15; v = a + 7; j = u + 12; p = z + 8. If z = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 15", "o": "c + 4", "k": "o + 3", "m": "k + 5", "b": "m + 19", "v": "b + 18", "e": "g + 4", "y": "e + 10", "x": "y + 10", "p": "x + 7", "j": "p + 11", "l": "j + 17", "g": 1}, "premises": {"g": 1}, "target": "v"}, "answer": {"steps": [["b", "m + 19", "m + 37"], ["m", "k + 5", "k + 42"], ["k", "o + 3", "o + 45"], ["o", "c + 4", "c + 49"], ["c", "g + 15", "g + 64"], ["g", 1, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"g": 1}, "is_reverse": true}} | 6,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 15; y = e + 10; e = g + 4; m = k + 5; g = 1; x = y + 10; l = j + 17; b = m + 19; p = x + 7; v = b + 18; o = c + 4; j = p + 11; k = o + 3. Given that g = 1, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 19 to v, which gives v = m + 37.\n2. Substitute m = k + 5 to v, which gives v = k + 42.\n3. Substitute k = o + 3 to v, which gives v = o + 45.\n4. Substitute o = c + 4 to v, which gives v = c + 49.\n5. Substitute c = g + 15 to v, which gives v = g + 64.\n6. Substitute g = 1 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 6469,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 15; y = e + 10; e = g + 4; m = k + 5; g = 1; x = y + 10; l = j + 17; b = m + 19; p = x + 7; v = b + 18; o = c + 4; j = p + 11; k = o + 3. Given that g = 1, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 1", "j": "m + 12", "c": "j + 2", "v": "c + 2", "i": "v + 8", "a": "i + 14", "t": "u + 14", "x": "t + 15", "b": "x + 17", "w": "b + 3", "g": "w + 14", "p": "g + 1", "u": 13}, "premises": {"u": 13}, "target": "a"}, "answer": {"steps": [["i", "v + 8", "v + 22"], ["v", "c + 2", "c + 24"], ["c", "j + 2", "j + 26"], ["j", "m + 12", "m + 38"], ["m", "u + 1", "u + 39"], ["u", 13, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"u": 13}, "is_reverse": true}} | 6,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 12; c = j + 2; g = w + 14; a = i + 14; u = 13; v = c + 2; x = t + 15; t = u + 14; i = v + 8; b = x + 17; m = u + 1; p = g + 1; w = b + 3. If u = 13, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 8 to a, which gives a = v + 22.\n2. Substitute v = c + 2 to a, which gives a = c + 24.\n3. Substitute c = j + 2 to a, which gives a = j + 26.\n4. Substitute j = m + 12 to a, which gives a = m + 38.\n5. Substitute m = u + 1 to a, which gives a = u + 39.\n6. Substitute u = 13 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 6470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 12; c = j + 2; g = w + 14; a = i + 14; u = 13; v = c + 2; x = t + 15; t = u + 14; i = v + 8; b = x + 17; m = u + 1; p = g + 1; w = b + 3. If u = 13, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 16", "j": "q + 9", "b": "j + 1", "g": "b + 13", "d": "g + 10", "n": "d + 16", "u": "i + 5", "s": "u + 15", "x": "s + 19", "e": "x + 8", "f": "e + 7", "h": "f + 8", "i": 2}, "premises": {"i": 2}, "target": "n"}, "answer": {"steps": [["d", "g + 10", "g + 26"], ["g", "b + 13", "b + 39"], ["b", "j + 1", "j + 40"], ["j", "q + 9", "q + 49"], ["q", "i + 16", "i + 65"], ["i", 2, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"i": 2}, "is_reverse": true}} | 6,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 16; s = u + 15; h = f + 8; g = b + 13; b = j + 1; x = s + 19; i = 2; u = i + 5; q = i + 16; d = g + 10; j = q + 9; f = e + 7; e = x + 8. Given that i = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 10 to n, which gives n = g + 26.\n2. Substitute g = b + 13 to n, which gives n = b + 39.\n3. Substitute b = j + 1 to n, which gives n = j + 40.\n4. Substitute j = q + 9 to n, which gives n = q + 49.\n5. Substitute q = i + 16 to n, which gives n = i + 65.\n6. Substitute i = 2 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 6471,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 16; s = u + 15; h = f + 8; g = b + 13; b = j + 1; x = s + 19; i = 2; u = i + 5; q = i + 16; d = g + 10; j = q + 9; f = e + 7; e = x + 8. Given that i = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 4", "v": "o + 4", "i": "v + 14", "f": "i + 4", "x": "f + 19", "s": "x + 15", "c": "u + 6", "l": "c + 6", "j": "l + 10", "t": "j + 2", "w": "t + 5", "a": "w + 2", "u": 8}, "premises": {"u": 8}, "target": "s"}, "answer": {"steps": [["x", "f + 19", "f + 34"], ["f", "i + 4", "i + 38"], ["i", "v + 14", "v + 52"], ["v", "o + 4", "o + 56"], ["o", "u + 4", "u + 60"], ["u", 8, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"u": 8}, "is_reverse": true}} | 6,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 14; t = j + 2; w = t + 5; s = x + 15; a = w + 2; j = l + 10; v = o + 4; x = f + 19; u = 8; f = i + 4; o = u + 4; c = u + 6; l = c + 6. If u = 8, what is the resulting 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 x = f + 19 to s, which gives s = f + 34.\n2. Substitute f = i + 4 to s, which gives s = i + 38.\n3. Substitute i = v + 14 to s, which gives s = v + 52.\n4. Substitute v = o + 4 to s, which gives s = o + 56.\n5. Substitute o = u + 4 to s, which gives s = u + 60.\n6. Substitute u = 8 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 6472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 14; t = j + 2; w = t + 5; s = x + 15; a = w + 2; j = l + 10; v = o + 4; x = f + 19; u = 8; f = i + 4; o = u + 4; c = u + 6; l = c + 6. If u = 8, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 19", "i": "o + 13", "s": "i + 1", "m": "s + 13", "q": "m + 5", "j": "q + 10", "u": "c + 6", "f": "u + 1", "n": "f + 17", "r": "n + 13", "g": "r + 1", "v": "g + 5", "c": 7}, "premises": {"c": 7}, "target": "j"}, "answer": {"steps": [["q", "m + 5", "m + 15"], ["m", "s + 13", "s + 28"], ["s", "i + 1", "i + 29"], ["i", "o + 13", "o + 42"], ["o", "c + 19", "c + 61"], ["c", 7, "68"]], "target_var_name": "j", "target_value": 68, "value_dict": {"c": 7}, "is_reverse": true}} | 6,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = m + 5; u = c + 6; r = n + 13; f = u + 1; i = o + 13; o = c + 19; n = f + 17; m = s + 13; v = g + 5; c = 7; g = r + 1; s = i + 1; j = q + 10. If c = 7, 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 q = m + 5 to j, which gives j = m + 15.\n2. Substitute m = s + 13 to j, which gives j = s + 28.\n3. Substitute s = i + 1 to j, which gives j = i + 29.\n4. Substitute i = o + 13 to j, which gives j = o + 42.\n5. Substitute o = c + 19 to j, which gives j = c + 61.\n6. Substitute c = 7 to j, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 6473,
"question": "Consider a system of variables where each variable is defined as follows: q = m + 5; u = c + 6; r = n + 13; f = u + 1; i = o + 13; o = c + 19; n = f + 17; m = s + 13; v = g + 5; c = 7; g = r + 1; s = i + 1; j = q + 10. If c = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 6", "o": "k + 2", "x": "o + 2", "t": "x + 7", "n": "t + 11", "w": "n + 7", "d": "h + 20", "p": "d + 7", "j": "p + 5", "r": "j + 16", "m": "r + 15", "i": "m + 10", "h": 7}, "premises": {"h": 7}, "target": "w"}, "answer": {"steps": [["n", "t + 11", "t + 18"], ["t", "x + 7", "x + 25"], ["x", "o + 2", "o + 27"], ["o", "k + 2", "k + 29"], ["k", "h + 6", "h + 35"], ["h", 7, "42"]], "target_var_name": "w", "target_value": 42, "value_dict": {"h": 7}, "is_reverse": true}} | 6,474 | 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 = o + 2; h = 7; d = h + 20; t = x + 7; r = j + 16; j = p + 5; o = k + 2; k = h + 6; p = d + 7; i = m + 10; w = n + 7; n = t + 11; m = r + 15. If h = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 11 to w, which gives w = t + 18.\n2. Substitute t = x + 7 to w, which gives w = x + 25.\n3. Substitute x = o + 2 to w, which gives w = o + 27.\n4. Substitute o = k + 2 to w, which gives w = k + 29.\n5. Substitute k = h + 6 to w, which gives w = h + 35.\n6. Substitute h = 7 to w, which gives w = 42.\n\nThus, the final answer is w = \\boxed{42}.",
"index": 6474,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 2; h = 7; d = h + 20; t = x + 7; r = j + 16; j = p + 5; o = k + 2; k = h + 6; p = d + 7; i = m + 10; w = n + 7; n = t + 11; m = r + 15. If h = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 13", "w": "g + 7", "s": "w + 10", "i": "s + 12", "h": "i + 17", "j": "h + 8", "m": "r + 17", "f": "m + 14", "t": "f + 12", "x": "t + 16", "a": "x + 19", "c": "a + 11", "r": 12}, "premises": {"r": 12}, "target": "j"}, "answer": {"steps": [["h", "i + 17", "i + 25"], ["i", "s + 12", "s + 37"], ["s", "w + 10", "w + 47"], ["w", "g + 7", "g + 54"], ["g", "r + 13", "r + 67"], ["r", 12, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"r": 12}, "is_reverse": true}} | 6,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 12; f = m + 14; m = r + 17; x = t + 16; g = r + 13; r = 12; a = x + 19; s = w + 10; i = s + 12; j = h + 8; h = i + 17; w = g + 7; c = a + 11. If r = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 17 to j, which gives j = i + 25.\n2. Substitute i = s + 12 to j, which gives j = s + 37.\n3. Substitute s = w + 10 to j, which gives j = w + 47.\n4. Substitute w = g + 7 to j, which gives j = g + 54.\n5. Substitute g = r + 13 to j, which gives j = r + 67.\n6. Substitute r = 12 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 6475,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 12; f = m + 14; m = r + 17; x = t + 16; g = r + 13; r = 12; a = x + 19; s = w + 10; i = s + 12; j = h + 8; h = i + 17; w = g + 7; c = a + 11. If r = 12, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 17", "i": "x + 15", "u": "i + 12", "j": "u + 10", "y": "j + 12", "s": "y + 2", "n": "q + 11", "p": "n + 17", "w": "p + 17", "v": "w + 13", "t": "v + 19", "k": "t + 14", "q": 11}, "premises": {"q": 11}, "target": "s"}, "answer": {"steps": [["y", "j + 12", "j + 14"], ["j", "u + 10", "u + 24"], ["u", "i + 12", "i + 36"], ["i", "x + 15", "x + 51"], ["x", "q + 17", "q + 68"], ["q", 11, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"q": 11}, "is_reverse": true}} | 6,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 15; s = y + 2; v = w + 13; k = t + 14; u = i + 12; p = n + 17; q = 11; x = q + 17; t = v + 19; y = j + 12; j = u + 10; n = q + 11; w = p + 17. If q = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 12 to s, which gives s = j + 14.\n2. Substitute j = u + 10 to s, which gives s = u + 24.\n3. Substitute u = i + 12 to s, which gives s = i + 36.\n4. Substitute i = x + 15 to s, which gives s = x + 51.\n5. Substitute x = q + 17 to s, which gives s = q + 68.\n6. Substitute q = 11 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 6476,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 15; s = y + 2; v = w + 13; k = t + 14; u = i + 12; p = n + 17; q = 11; x = q + 17; t = v + 19; y = j + 12; j = u + 10; n = q + 11; w = p + 17. If q = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 19", "z": "o + 10", "v": "z + 3", "t": "v + 4", "i": "t + 15", "e": "i + 2", "c": "u + 11", "b": "c + 7", "a": "b + 9", "m": "a + 20", "g": "m + 17", "w": "g + 18", "u": 20}, "premises": {"u": 20}, "target": "e"}, "answer": {"steps": [["i", "t + 15", "t + 17"], ["t", "v + 4", "v + 21"], ["v", "z + 3", "z + 24"], ["z", "o + 10", "o + 34"], ["o", "u + 19", "u + 53"], ["u", 20, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"u": 20}, "is_reverse": true}} | 6,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 18; v = z + 3; e = i + 2; a = b + 9; c = u + 11; b = c + 7; o = u + 19; m = a + 20; i = t + 15; u = 20; g = m + 17; t = v + 4; z = o + 10. If u = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 15 to e, which gives e = t + 17.\n2. Substitute t = v + 4 to e, which gives e = v + 21.\n3. Substitute v = z + 3 to e, which gives e = z + 24.\n4. Substitute z = o + 10 to e, which gives e = o + 34.\n5. Substitute o = u + 19 to e, which gives e = u + 53.\n6. Substitute u = 20 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 6477,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 18; v = z + 3; e = i + 2; a = b + 9; c = u + 11; b = c + 7; o = u + 19; m = a + 20; i = t + 15; u = 20; g = m + 17; t = v + 4; z = o + 10. If u = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 10", "y": "h + 9", "t": "y + 5", "e": "t + 7", "q": "e + 20", "a": "q + 2", "p": "u + 19", "g": "p + 5", "d": "g + 7", "b": "d + 9", "i": "b + 11", "j": "i + 11", "u": 13}, "premises": {"u": 13}, "target": "a"}, "answer": {"steps": [["q", "e + 20", "e + 22"], ["e", "t + 7", "t + 29"], ["t", "y + 5", "y + 34"], ["y", "h + 9", "h + 43"], ["h", "u + 10", "u + 53"], ["u", 13, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"u": 13}, "is_reverse": true}} | 6,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 5; a = q + 2; d = g + 7; g = p + 5; h = u + 10; u = 13; q = e + 20; b = d + 9; i = b + 11; p = u + 19; y = h + 9; j = i + 11; e = t + 7. If u = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 20 to a, which gives a = e + 22.\n2. Substitute e = t + 7 to a, which gives a = t + 29.\n3. Substitute t = y + 5 to a, which gives a = y + 34.\n4. Substitute y = h + 9 to a, which gives a = h + 43.\n5. Substitute h = u + 10 to a, which gives a = u + 53.\n6. Substitute u = 13 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 6478,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 5; a = q + 2; d = g + 7; g = p + 5; h = u + 10; u = 13; q = e + 20; b = d + 9; i = b + 11; p = u + 19; y = h + 9; j = i + 11; e = t + 7. If u = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 11", "p": "v + 20", "m": "p + 9", "s": "m + 14", "g": "s + 14", "h": "g + 11", "a": "c + 17", "b": "a + 17", "i": "b + 18", "x": "i + 3", "u": "x + 10", "o": "u + 7", "c": 8}, "premises": {"c": 8}, "target": "h"}, "answer": {"steps": [["g", "s + 14", "s + 25"], ["s", "m + 14", "m + 39"], ["m", "p + 9", "p + 48"], ["p", "v + 20", "v + 68"], ["v", "c + 11", "c + 79"], ["c", 8, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"c": 8}, "is_reverse": true}} | 6,479 | 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 = x + 10; p = v + 20; a = c + 17; v = c + 11; b = a + 17; x = i + 3; m = p + 9; h = g + 11; c = 8; s = m + 14; i = b + 18; g = s + 14; o = u + 7. If c = 8, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 14 to h, which gives h = s + 25.\n2. Substitute s = m + 14 to h, which gives h = m + 39.\n3. Substitute m = p + 9 to h, which gives h = p + 48.\n4. Substitute p = v + 20 to h, which gives h = v + 68.\n5. Substitute v = c + 11 to h, which gives h = c + 79.\n6. Substitute c = 8 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 6479,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 10; p = v + 20; a = c + 17; v = c + 11; b = a + 17; x = i + 3; m = p + 9; h = g + 11; c = 8; s = m + 14; i = b + 18; g = s + 14; o = u + 7. If c = 8, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 10", "h": "q + 13", "c": "h + 3", "f": "c + 4", "n": "f + 19", "w": "n + 17", "y": "i + 18", "o": "y + 18", "v": "o + 4", "k": "v + 18", "x": "k + 1", "e": "x + 20", "i": 2}, "premises": {"i": 2}, "target": "w"}, "answer": {"steps": [["n", "f + 19", "f + 36"], ["f", "c + 4", "c + 40"], ["c", "h + 3", "h + 43"], ["h", "q + 13", "q + 56"], ["q", "i + 10", "i + 66"], ["i", 2, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"i": 2}, "is_reverse": true}} | 6,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 4; h = q + 13; c = h + 3; e = x + 20; w = n + 17; f = c + 4; y = i + 18; o = y + 18; q = i + 10; i = 2; k = v + 18; n = f + 19; x = k + 1. If i = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 19 to w, which gives w = f + 36.\n2. Substitute f = c + 4 to w, which gives w = c + 40.\n3. Substitute c = h + 3 to w, which gives w = h + 43.\n4. Substitute h = q + 13 to w, which gives w = q + 56.\n5. Substitute q = i + 10 to w, which gives w = i + 66.\n6. Substitute i = 2 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 6480,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 4; h = q + 13; c = h + 3; e = x + 20; w = n + 17; f = c + 4; y = i + 18; o = y + 18; q = i + 10; i = 2; k = v + 18; n = f + 19; x = k + 1. If i = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 12", "r": "w + 3", "a": "r + 10", "n": "a + 9", "g": "n + 17", "j": "g + 11", "y": "m + 4", "e": "y + 4", "u": "e + 6", "p": "u + 8", "z": "p + 18", "q": "z + 18", "m": 5}, "premises": {"m": 5}, "target": "j"}, "answer": {"steps": [["g", "n + 17", "n + 28"], ["n", "a + 9", "a + 37"], ["a", "r + 10", "r + 47"], ["r", "w + 3", "w + 50"], ["w", "m + 12", "m + 62"], ["m", 5, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"m": 5}, "is_reverse": true}} | 6,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 4; w = m + 12; m = 5; q = z + 18; a = r + 10; y = m + 4; r = w + 3; p = u + 8; n = a + 9; j = g + 11; u = e + 6; z = p + 18; g = n + 17. If m = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 17 to j, which gives j = n + 28.\n2. Substitute n = a + 9 to j, which gives j = a + 37.\n3. Substitute a = r + 10 to j, which gives j = r + 47.\n4. Substitute r = w + 3 to j, which gives j = w + 50.\n5. Substitute w = m + 12 to j, which gives j = m + 62.\n6. Substitute m = 5 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 6481,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 4; w = m + 12; m = 5; q = z + 18; a = r + 10; y = m + 4; r = w + 3; p = u + 8; n = a + 9; j = g + 11; u = e + 6; z = p + 18; g = n + 17. If m = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 16", "r": "s + 6", "t": "r + 8", "c": "t + 9", "d": "c + 20", "e": "d + 8", "u": "q + 3", "v": "u + 16", "w": "v + 2", "h": "w + 5", "m": "h + 17", "i": "m + 16", "q": 6}, "premises": {"q": 6}, "target": "e"}, "answer": {"steps": [["d", "c + 20", "c + 28"], ["c", "t + 9", "t + 37"], ["t", "r + 8", "r + 45"], ["r", "s + 6", "s + 51"], ["s", "q + 16", "q + 67"], ["q", 6, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"q": 6}, "is_reverse": true}} | 6,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 8; t = r + 8; i = m + 16; d = c + 20; w = v + 2; q = 6; s = q + 16; c = t + 9; r = s + 6; v = u + 16; m = h + 17; h = w + 5; u = q + 3. Given that q = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 20 to e, which gives e = c + 28.\n2. Substitute c = t + 9 to e, which gives e = t + 37.\n3. Substitute t = r + 8 to e, which gives e = r + 45.\n4. Substitute r = s + 6 to e, which gives e = s + 51.\n5. Substitute s = q + 16 to e, which gives e = q + 67.\n6. Substitute q = 6 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 6482,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 8; t = r + 8; i = m + 16; d = c + 20; w = v + 2; q = 6; s = q + 16; c = t + 9; r = s + 6; v = u + 16; m = h + 17; h = w + 5; u = q + 3. Given that q = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 18", "w": "n + 9", "m": "w + 5", "z": "m + 16", "g": "z + 9", "x": "g + 19", "e": "t + 18", "o": "e + 13", "y": "o + 1", "f": "y + 3", "i": "f + 17", "a": "i + 6", "t": 2}, "premises": {"t": 2}, "target": "x"}, "answer": {"steps": [["g", "z + 9", "z + 28"], ["z", "m + 16", "m + 44"], ["m", "w + 5", "w + 49"], ["w", "n + 9", "n + 58"], ["n", "t + 18", "t + 76"], ["t", 2, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"t": 2}, "is_reverse": true}} | 6,483 | 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 = i + 6; f = y + 3; g = z + 9; e = t + 18; n = t + 18; x = g + 19; o = e + 13; w = n + 9; y = o + 1; m = w + 5; z = m + 16; i = f + 17; t = 2. If t = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 9 to x, which gives x = z + 28.\n2. Substitute z = m + 16 to x, which gives x = m + 44.\n3. Substitute m = w + 5 to x, which gives x = w + 49.\n4. Substitute w = n + 9 to x, which gives x = n + 58.\n5. Substitute n = t + 18 to x, which gives x = t + 76.\n6. Substitute t = 2 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 6483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 6; f = y + 3; g = z + 9; e = t + 18; n = t + 18; x = g + 19; o = e + 13; w = n + 9; y = o + 1; m = w + 5; z = m + 16; i = f + 17; t = 2. If t = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 9", "z": "x + 10", "a": "z + 3", "p": "a + 18", "d": "p + 4", "i": "d + 13", "g": "v + 18", "l": "g + 16", "c": "l + 15", "h": "c + 10", "m": "h + 12", "e": "m + 11", "v": 8}, "premises": {"v": 8}, "target": "i"}, "answer": {"steps": [["d", "p + 4", "p + 17"], ["p", "a + 18", "a + 35"], ["a", "z + 3", "z + 38"], ["z", "x + 10", "x + 48"], ["x", "v + 9", "v + 57"], ["v", 8, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"v": 8}, "is_reverse": true}} | 6,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 13; m = h + 12; h = c + 10; l = g + 16; z = x + 10; c = l + 15; d = p + 4; g = v + 18; a = z + 3; x = v + 9; v = 8; p = a + 18; e = m + 11. If v = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 4 to i, which gives i = p + 17.\n2. Substitute p = a + 18 to i, which gives i = a + 35.\n3. Substitute a = z + 3 to i, which gives i = z + 38.\n4. Substitute z = x + 10 to i, which gives i = x + 48.\n5. Substitute x = v + 9 to i, which gives i = v + 57.\n6. Substitute v = 8 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 6484,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 13; m = h + 12; h = c + 10; l = g + 16; z = x + 10; c = l + 15; d = p + 4; g = v + 18; a = z + 3; x = v + 9; v = 8; p = a + 18; e = m + 11. If v = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 7", "e": "r + 6", "y": "e + 16", "f": "y + 7", "m": "f + 7", "n": "m + 18", "c": "v + 7", "u": "c + 1", "l": "u + 8", "q": "l + 4", "g": "q + 18", "a": "g + 13", "v": 6}, "premises": {"v": 6}, "target": "n"}, "answer": {"steps": [["m", "f + 7", "f + 25"], ["f", "y + 7", "y + 32"], ["y", "e + 16", "e + 48"], ["e", "r + 6", "r + 54"], ["r", "v + 7", "v + 61"], ["v", 6, "67"]], "target_var_name": "n", "target_value": 67, "value_dict": {"v": 6}, "is_reverse": true}} | 6,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 7; f = y + 7; u = c + 1; n = m + 18; v = 6; g = q + 18; a = g + 13; r = v + 7; y = e + 16; q = l + 4; c = v + 7; e = r + 6; l = u + 8. If v = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 7 to n, which gives n = f + 25.\n2. Substitute f = y + 7 to n, which gives n = y + 32.\n3. Substitute y = e + 16 to n, which gives n = e + 48.\n4. Substitute e = r + 6 to n, which gives n = r + 54.\n5. Substitute r = v + 7 to n, which gives n = v + 61.\n6. Substitute v = 6 to n, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 6485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 7; f = y + 7; u = c + 1; n = m + 18; v = 6; g = q + 18; a = g + 13; r = v + 7; y = e + 16; q = l + 4; c = v + 7; e = r + 6; l = u + 8. If v = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 8", "d": "q + 17", "u": "d + 17", "m": "u + 7", "l": "m + 19", "p": "l + 19", "a": "r + 5", "n": "a + 9", "g": "n + 14", "j": "g + 1", "k": "j + 7", "w": "k + 12", "r": 13}, "premises": {"r": 13}, "target": "p"}, "answer": {"steps": [["l", "m + 19", "m + 38"], ["m", "u + 7", "u + 45"], ["u", "d + 17", "d + 62"], ["d", "q + 17", "q + 79"], ["q", "r + 8", "r + 87"], ["r", 13, "100"]], "target_var_name": "p", "target_value": 100, "value_dict": {"r": 13}, "is_reverse": true}} | 6,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 9; d = q + 17; g = n + 14; j = g + 1; l = m + 19; q = r + 8; m = u + 7; p = l + 19; k = j + 7; w = k + 12; a = r + 5; r = 13; u = d + 17. If r = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 19 to p, which gives p = m + 38.\n2. Substitute m = u + 7 to p, which gives p = u + 45.\n3. Substitute u = d + 17 to p, which gives p = d + 62.\n4. Substitute d = q + 17 to p, which gives p = q + 79.\n5. Substitute q = r + 8 to p, which gives p = r + 87.\n6. Substitute r = 13 to p, which gives p = 100.\n\nThus, the final answer is p = \\boxed{100}.",
"index": 6486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 9; d = q + 17; g = n + 14; j = g + 1; l = m + 19; q = r + 8; m = u + 7; p = l + 19; k = j + 7; w = k + 12; a = r + 5; r = 13; u = d + 17. If r = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 9", "v": "l + 14", "f": "v + 8", "d": "f + 3", "i": "d + 17", "y": "i + 2", "h": "g + 6", "s": "h + 13", "z": "s + 12", "c": "z + 5", "r": "c + 4", "p": "r + 12", "g": 2}, "premises": {"g": 2}, "target": "y"}, "answer": {"steps": [["i", "d + 17", "d + 19"], ["d", "f + 3", "f + 22"], ["f", "v + 8", "v + 30"], ["v", "l + 14", "l + 44"], ["l", "g + 9", "g + 53"], ["g", 2, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"g": 2}, "is_reverse": true}} | 6,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = c + 4; f = v + 8; c = z + 5; i = d + 17; d = f + 3; v = l + 14; p = r + 12; l = g + 9; g = 2; y = i + 2; h = g + 6; z = s + 12; s = h + 13. Given that g = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 17 to y, which gives y = d + 19.\n2. Substitute d = f + 3 to y, which gives y = f + 22.\n3. Substitute f = v + 8 to y, which gives y = v + 30.\n4. Substitute v = l + 14 to y, which gives y = l + 44.\n5. Substitute l = g + 9 to y, which gives y = g + 53.\n6. Substitute g = 2 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 6487,
"question": "Suppose a collection of variables is related by the following definitions: r = c + 4; f = v + 8; c = z + 5; i = d + 17; d = f + 3; v = l + 14; p = r + 12; l = g + 9; g = 2; y = i + 2; h = g + 6; z = s + 12; s = h + 13. Given that g = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 16", "b": "f + 5", "d": "b + 12", "z": "d + 1", "o": "z + 14", "g": "o + 2", "h": "m + 4", "n": "h + 9", "r": "n + 8", "q": "r + 20", "i": "q + 5", "v": "i + 1", "m": 7}, "premises": {"m": 7}, "target": "g"}, "answer": {"steps": [["o", "z + 14", "z + 16"], ["z", "d + 1", "d + 17"], ["d", "b + 12", "b + 29"], ["b", "f + 5", "f + 34"], ["f", "m + 16", "m + 50"], ["m", 7, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"m": 7}, "is_reverse": true}} | 6,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 20; g = o + 2; d = b + 12; f = m + 16; b = f + 5; h = m + 4; o = z + 14; r = n + 8; v = i + 1; z = d + 1; n = h + 9; m = 7; i = q + 5. Given that m = 7, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 14 to g, which gives g = z + 16.\n2. Substitute z = d + 1 to g, which gives g = d + 17.\n3. Substitute d = b + 12 to g, which gives g = b + 29.\n4. Substitute b = f + 5 to g, which gives g = f + 34.\n5. Substitute f = m + 16 to g, which gives g = m + 50.\n6. Substitute m = 7 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 6488,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 20; g = o + 2; d = b + 12; f = m + 16; b = f + 5; h = m + 4; o = z + 14; r = n + 8; v = i + 1; z = d + 1; n = h + 9; m = 7; i = q + 5. Given that m = 7, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 20", "v": "k + 19", "e": "v + 8", "x": "e + 17", "z": "x + 15", "m": "z + 18", "s": "p + 10", "h": "s + 17", "c": "h + 17", "u": "c + 3", "i": "u + 3", "f": "i + 17", "p": 1}, "premises": {"p": 1}, "target": "m"}, "answer": {"steps": [["z", "x + 15", "x + 33"], ["x", "e + 17", "e + 50"], ["e", "v + 8", "v + 58"], ["v", "k + 19", "k + 77"], ["k", "p + 20", "p + 97"], ["p", 1, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"p": 1}, "is_reverse": true}} | 6,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 17; k = p + 20; m = z + 18; z = x + 15; s = p + 10; v = k + 19; c = h + 17; e = v + 8; i = u + 3; u = c + 3; x = e + 17; p = 1; f = i + 17. Given that p = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 15 to m, which gives m = x + 33.\n2. Substitute x = e + 17 to m, which gives m = e + 50.\n3. Substitute e = v + 8 to m, which gives m = v + 58.\n4. Substitute v = k + 19 to m, which gives m = k + 77.\n5. Substitute k = p + 20 to m, which gives m = p + 97.\n6. Substitute p = 1 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 6489,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 17; k = p + 20; m = z + 18; z = x + 15; s = p + 10; v = k + 19; c = h + 17; e = v + 8; i = u + 3; u = c + 3; x = e + 17; p = 1; f = i + 17. Given that p = 1, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 15", "l": "f + 6", "w": "l + 17", "g": "w + 1", "y": "g + 19", "b": "y + 19", "j": "c + 7", "u": "j + 9", "o": "u + 15", "t": "o + 18", "e": "t + 4", "q": "e + 11", "c": 10}, "premises": {"c": 10}, "target": "b"}, "answer": {"steps": [["y", "g + 19", "g + 38"], ["g", "w + 1", "w + 39"], ["w", "l + 17", "l + 56"], ["l", "f + 6", "f + 62"], ["f", "c + 15", "c + 77"], ["c", 10, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"c": 10}, "is_reverse": true}} | 6,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 17; q = e + 11; f = c + 15; c = 10; j = c + 7; t = o + 18; o = u + 15; e = t + 4; l = f + 6; u = j + 9; b = y + 19; g = w + 1; y = g + 19. Given that c = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 19 to b, which gives b = g + 38.\n2. Substitute g = w + 1 to b, which gives b = w + 39.\n3. Substitute w = l + 17 to b, which gives b = l + 56.\n4. Substitute l = f + 6 to b, which gives b = f + 62.\n5. Substitute f = c + 15 to b, which gives b = c + 77.\n6. Substitute c = 10 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 6490,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 17; q = e + 11; f = c + 15; c = 10; j = c + 7; t = o + 18; o = u + 15; e = t + 4; l = f + 6; u = j + 9; b = y + 19; g = w + 1; y = g + 19. Given that c = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 8", "t": "y + 11", "q": "t + 20", "n": "q + 3", "c": "n + 12", "o": "c + 12", "u": "s + 6", "i": "u + 7", "h": "i + 3", "v": "h + 12", "a": "v + 9", "z": "a + 1", "s": 13}, "premises": {"s": 13}, "target": "o"}, "answer": {"steps": [["c", "n + 12", "n + 24"], ["n", "q + 3", "q + 27"], ["q", "t + 20", "t + 47"], ["t", "y + 11", "y + 58"], ["y", "s + 8", "s + 66"], ["s", 13, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"s": 13}, "is_reverse": true}} | 6,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = 13; y = s + 8; a = v + 9; i = u + 7; o = c + 12; u = s + 6; t = y + 11; n = q + 3; q = t + 20; v = h + 12; z = a + 1; h = i + 3; c = n + 12. If s = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 12 to o, which gives o = n + 24.\n2. Substitute n = q + 3 to o, which gives o = q + 27.\n3. Substitute q = t + 20 to o, which gives o = t + 47.\n4. Substitute t = y + 11 to o, which gives o = y + 58.\n5. Substitute y = s + 8 to o, which gives o = s + 66.\n6. Substitute s = 13 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 6491,
"question": "Consider a system of variables where each variable is defined as follows: s = 13; y = s + 8; a = v + 9; i = u + 7; o = c + 12; u = s + 6; t = y + 11; n = q + 3; q = t + 20; v = h + 12; z = a + 1; h = i + 3; c = n + 12. If s = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 10", "p": "t + 19", "q": "p + 6", "l": "q + 13", "h": "l + 13", "d": "h + 14", "j": "c + 10", "x": "j + 14", "r": "x + 9", "v": "r + 1", "u": "v + 3", "k": "u + 13", "c": 3}, "premises": {"c": 3}, "target": "d"}, "answer": {"steps": [["h", "l + 13", "l + 27"], ["l", "q + 13", "q + 40"], ["q", "p + 6", "p + 46"], ["p", "t + 19", "t + 65"], ["t", "c + 10", "c + 75"], ["c", 3, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"c": 3}, "is_reverse": true}} | 6,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 14; l = q + 13; h = l + 13; r = x + 9; v = r + 1; j = c + 10; k = u + 13; t = c + 10; x = j + 14; p = t + 19; u = v + 3; q = p + 6; c = 3. If c = 3, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 13 to d, which gives d = l + 27.\n2. Substitute l = q + 13 to d, which gives d = q + 40.\n3. Substitute q = p + 6 to d, which gives d = p + 46.\n4. Substitute p = t + 19 to d, which gives d = t + 65.\n5. Substitute t = c + 10 to d, which gives d = c + 75.\n6. Substitute c = 3 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 6492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 14; l = q + 13; h = l + 13; r = x + 9; v = r + 1; j = c + 10; k = u + 13; t = c + 10; x = j + 14; p = t + 19; u = v + 3; q = p + 6; c = 3. If c = 3, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 5", "i": "n + 13", "e": "i + 2", "b": "e + 3", "y": "b + 11", "d": "y + 13", "w": "c + 10", "a": "w + 3", "h": "a + 19", "v": "h + 7", "p": "v + 15", "m": "p + 15", "c": 3}, "premises": {"c": 3}, "target": "d"}, "answer": {"steps": [["y", "b + 11", "b + 24"], ["b", "e + 3", "e + 27"], ["e", "i + 2", "i + 29"], ["i", "n + 13", "n + 42"], ["n", "c + 5", "c + 47"], ["c", 3, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"c": 3}, "is_reverse": true}} | 6,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 3; c = 3; w = c + 10; m = p + 15; h = a + 19; y = b + 11; v = h + 7; b = e + 3; p = v + 15; n = c + 5; d = y + 13; i = n + 13; e = i + 2. If c = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 11 to d, which gives d = b + 24.\n2. Substitute b = e + 3 to d, which gives d = e + 27.\n3. Substitute e = i + 2 to d, which gives d = i + 29.\n4. Substitute i = n + 13 to d, which gives d = n + 42.\n5. Substitute n = c + 5 to d, which gives d = c + 47.\n6. Substitute c = 3 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 6493,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 3; c = 3; w = c + 10; m = p + 15; h = a + 19; y = b + 11; v = h + 7; b = e + 3; p = v + 15; n = c + 5; d = y + 13; i = n + 13; e = i + 2. If c = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 5", "z": "l + 12", "o": "z + 4", "j": "o + 15", "u": "j + 17", "n": "u + 16", "c": "q + 1", "y": "c + 2", "g": "y + 4", "b": "g + 8", "f": "b + 5", "t": "f + 5", "q": 3}, "premises": {"q": 3}, "target": "n"}, "answer": {"steps": [["u", "j + 17", "j + 33"], ["j", "o + 15", "o + 48"], ["o", "z + 4", "z + 52"], ["z", "l + 12", "l + 64"], ["l", "q + 5", "q + 69"], ["q", 3, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"q": 3}, "is_reverse": true}} | 6,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 5; f = b + 5; j = o + 15; q = 3; t = f + 5; c = q + 1; u = j + 17; y = c + 2; z = l + 12; g = y + 4; b = g + 8; n = u + 16; o = z + 4. Given that q = 3, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 17 to n, which gives n = j + 33.\n2. Substitute j = o + 15 to n, which gives n = o + 48.\n3. Substitute o = z + 4 to n, which gives n = z + 52.\n4. Substitute z = l + 12 to n, which gives n = l + 64.\n5. Substitute l = q + 5 to n, which gives n = q + 69.\n6. Substitute q = 3 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 6494,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 5; f = b + 5; j = o + 15; q = 3; t = f + 5; c = q + 1; u = j + 17; y = c + 2; z = l + 12; g = y + 4; b = g + 8; n = u + 16; o = z + 4. Given that q = 3, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 12", "p": "m + 4", "e": "p + 1", "n": "e + 8", "v": "n + 5", "t": "v + 18", "o": "s + 11", "f": "o + 13", "l": "f + 6", "j": "l + 2", "c": "j + 11", "k": "c + 14", "s": 1}, "premises": {"s": 1}, "target": "t"}, "answer": {"steps": [["v", "n + 5", "n + 23"], ["n", "e + 8", "e + 31"], ["e", "p + 1", "p + 32"], ["p", "m + 4", "m + 36"], ["m", "s + 12", "s + 48"], ["s", 1, "49"]], "target_var_name": "t", "target_value": 49, "value_dict": {"s": 1}, "is_reverse": true}} | 6,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = c + 14; s = 1; t = v + 18; f = o + 13; n = e + 8; e = p + 1; o = s + 11; m = s + 12; p = m + 4; l = f + 6; v = n + 5; j = l + 2; c = j + 11. If s = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 5 to t, which gives t = n + 23.\n2. Substitute n = e + 8 to t, which gives t = e + 31.\n3. Substitute e = p + 1 to t, which gives t = p + 32.\n4. Substitute p = m + 4 to t, which gives t = m + 36.\n5. Substitute m = s + 12 to t, which gives t = s + 48.\n6. Substitute s = 1 to t, which gives t = 49.\n\nThus, the final answer is t = \\boxed{49}.",
"index": 6495,
"question": "Consider a system of variables where each variable is defined as follows: k = c + 14; s = 1; t = v + 18; f = o + 13; n = e + 8; e = p + 1; o = s + 11; m = s + 12; p = m + 4; l = f + 6; v = n + 5; j = l + 2; c = j + 11. If s = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 3", "s": "w + 15", "d": "s + 4", "y": "d + 8", "q": "y + 18", "h": "q + 8", "g": "t + 8", "x": "g + 4", "n": "x + 18", "k": "n + 11", "u": "k + 11", "z": "u + 10", "t": 15}, "premises": {"t": 15}, "target": "h"}, "answer": {"steps": [["q", "y + 18", "y + 26"], ["y", "d + 8", "d + 34"], ["d", "s + 4", "s + 38"], ["s", "w + 15", "w + 53"], ["w", "t + 3", "t + 56"], ["t", 15, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"t": 15}, "is_reverse": true}} | 6,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 8; q = y + 18; t = 15; y = d + 8; w = t + 3; d = s + 4; x = g + 4; k = n + 11; h = q + 8; s = w + 15; n = x + 18; z = u + 10; u = k + 11. Given that t = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 18 to h, which gives h = y + 26.\n2. Substitute y = d + 8 to h, which gives h = d + 34.\n3. Substitute d = s + 4 to h, which gives h = s + 38.\n4. Substitute s = w + 15 to h, which gives h = w + 53.\n5. Substitute w = t + 3 to h, which gives h = t + 56.\n6. Substitute t = 15 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 6496,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 8; q = y + 18; t = 15; y = d + 8; w = t + 3; d = s + 4; x = g + 4; k = n + 11; h = q + 8; s = w + 15; n = x + 18; z = u + 10; u = k + 11. Given that t = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "m + 19", "i": "j + 18", "v": "i + 6", "c": "v + 19", "q": "c + 16", "w": "q + 3", "r": "m + 20", "l": "r + 10", "k": "l + 17", "z": "k + 3", "o": "z + 1", "e": "o + 14", "m": 16}, "premises": {"m": 16}, "target": "w"}, "answer": {"steps": [["q", "c + 16", "c + 19"], ["c", "v + 19", "v + 38"], ["v", "i + 6", "i + 44"], ["i", "j + 18", "j + 62"], ["j", "m + 19", "m + 81"], ["m", 16, "97"]], "target_var_name": "w", "target_value": 97, "value_dict": {"m": 16}, "is_reverse": true}} | 6,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 19; r = m + 20; e = o + 14; w = q + 3; j = m + 19; i = j + 18; v = i + 6; m = 16; z = k + 3; q = c + 16; l = r + 10; o = z + 1; k = l + 17. If m = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 16 to w, which gives w = c + 19.\n2. Substitute c = v + 19 to w, which gives w = v + 38.\n3. Substitute v = i + 6 to w, which gives w = i + 44.\n4. Substitute i = j + 18 to w, which gives w = j + 62.\n5. Substitute j = m + 19 to w, which gives w = m + 81.\n6. Substitute m = 16 to w, which gives w = 97.\n\nThus, the final answer is w = \\boxed{97}.",
"index": 6497,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 19; r = m + 20; e = o + 14; w = q + 3; j = m + 19; i = j + 18; v = i + 6; m = 16; z = k + 3; q = c + 16; l = r + 10; o = z + 1; k = l + 17. If m = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 14", "q": "x + 18", "i": "q + 8", "a": "i + 14", "j": "a + 2", "f": "j + 15", "w": "t + 12", "k": "w + 14", "v": "k + 5", "u": "v + 10", "b": "u + 17", "p": "b + 10", "t": 13}, "premises": {"t": 13}, "target": "f"}, "answer": {"steps": [["j", "a + 2", "a + 17"], ["a", "i + 14", "i + 31"], ["i", "q + 8", "q + 39"], ["q", "x + 18", "x + 57"], ["x", "t + 14", "t + 71"], ["t", 13, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"t": 13}, "is_reverse": true}} | 6,498 | 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 = v + 10; a = i + 14; f = j + 15; x = t + 14; p = b + 10; i = q + 8; v = k + 5; q = x + 18; j = a + 2; w = t + 12; t = 13; k = w + 14; b = u + 17. If t = 13, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 2 to f, which gives f = a + 17.\n2. Substitute a = i + 14 to f, which gives f = i + 31.\n3. Substitute i = q + 8 to f, which gives f = q + 39.\n4. Substitute q = x + 18 to f, which gives f = x + 57.\n5. Substitute x = t + 14 to f, which gives f = t + 71.\n6. Substitute t = 13 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 6498,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 10; a = i + 14; f = j + 15; x = t + 14; p = b + 10; i = q + 8; v = k + 5; q = x + 18; j = a + 2; w = t + 12; t = 13; k = w + 14; b = u + 17. If t = 13, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 5", "p": "u + 18", "j": "p + 14", "x": "j + 14", "q": "x + 14", "y": "q + 7", "o": "c + 20", "z": "o + 8", "e": "z + 5", "r": "e + 4", "m": "r + 15", "h": "m + 1", "c": 11}, "premises": {"c": 11}, "target": "y"}, "answer": {"steps": [["q", "x + 14", "x + 21"], ["x", "j + 14", "j + 35"], ["j", "p + 14", "p + 49"], ["p", "u + 18", "u + 67"], ["u", "c + 5", "c + 72"], ["c", 11, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"c": 11}, "is_reverse": true}} | 6,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 20; c = 11; q = x + 14; h = m + 1; r = e + 4; y = q + 7; z = o + 8; j = p + 14; p = u + 18; m = r + 15; x = j + 14; e = z + 5; u = c + 5. If c = 11, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 14 to y, which gives y = x + 21.\n2. Substitute x = j + 14 to y, which gives y = j + 35.\n3. Substitute j = p + 14 to y, which gives y = p + 49.\n4. Substitute p = u + 18 to y, which gives y = u + 67.\n5. Substitute u = c + 5 to y, which gives y = c + 72.\n6. Substitute c = 11 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 6499,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 20; c = 11; q = x + 14; h = m + 1; r = e + 4; y = q + 7; z = o + 8; j = p + 14; p = u + 18; m = r + 15; x = j + 14; e = z + 5; u = c + 5. If c = 11, determine the value of y.",
"split": "train"
} |
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