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": {"s": "p + 18", "t": "s + 11", "n": "t + 3", "q": "n + 17", "k": "q + 18", "r": "k + 7", "v": "p + 17", "a": "v + 10", "g": "a + 2", "l": "g + 10", "z": "l + 17", "m": "z + 19", "p": 16}, "premises": {"p": 16}, "target": "r"}, "answer": {"steps": [["k", "q + 18", "q + 25"], ["q", "n + 17", "n + 42"], ["n", "t + 3", "t + 45"], ["t", "s + 11", "s + 56"], ["s", "p + 18", "p + 74"], ["p", 16, "90"]], "target_var_name": "r", "target_value": 90, "value_dict": {"p": 16}, "is_reverse": true}} | 9,700 | 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 = p + 18; m = z + 19; l = g + 10; q = n + 17; z = l + 17; p = 16; a = v + 10; v = p + 17; r = k + 7; k = q + 18; t = s + 11; g = a + 2; n = t + 3. If p = 16, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 18 to r, which gives r = q + 25.\n2. Substitute q = n + 17 to r, which gives r = n + 42.\n3. Substitute n = t + 3 to r, which gives r = t + 45.\n4. Substitute t = s + 11 to r, which gives r = s + 56.\n5. Substitute s = p + 18 to r, which gives r = p + 74.\n6. Substitute p = 16 to r, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 9700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 18; m = z + 19; l = g + 10; q = n + 17; z = l + 17; p = 16; a = v + 10; v = p + 17; r = k + 7; k = q + 18; t = s + 11; g = a + 2; n = t + 3. If p = 16, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 20", "v": "t + 12", "c": "v + 12", "q": "c + 5", "a": "q + 11", "g": "a + 10", "r": "p + 12", "l": "r + 19", "h": "l + 15", "n": "h + 14", "z": "n + 5", "k": "z + 14", "p": 8}, "premises": {"p": 8}, "target": "g"}, "answer": {"steps": [["a", "q + 11", "q + 21"], ["q", "c + 5", "c + 26"], ["c", "v + 12", "v + 38"], ["v", "t + 12", "t + 50"], ["t", "p + 20", "p + 70"], ["p", 8, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"p": 8}, "is_reverse": true}} | 9,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 20; k = z + 14; n = h + 14; c = v + 12; h = l + 15; r = p + 12; q = c + 5; a = q + 11; g = a + 10; v = t + 12; l = r + 19; z = n + 5; p = 8. If p = 8, determine the 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 a = q + 11 to g, which gives g = q + 21.\n2. Substitute q = c + 5 to g, which gives g = c + 26.\n3. Substitute c = v + 12 to g, which gives g = v + 38.\n4. Substitute v = t + 12 to g, which gives g = t + 50.\n5. Substitute t = p + 20 to g, which gives g = p + 70.\n6. Substitute p = 8 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 9701,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 20; k = z + 14; n = h + 14; c = v + 12; h = l + 15; r = p + 12; q = c + 5; a = q + 11; g = a + 10; v = t + 12; l = r + 19; z = n + 5; p = 8. If p = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 8", "t": "w + 20", "f": "t + 5", "g": "f + 13", "l": "g + 1", "x": "l + 14", "k": "p + 15", "d": "k + 13", "i": "d + 14", "a": "i + 17", "v": "a + 10", "z": "v + 15", "p": 20}, "premises": {"p": 20}, "target": "x"}, "answer": {"steps": [["l", "g + 1", "g + 15"], ["g", "f + 13", "f + 28"], ["f", "t + 5", "t + 33"], ["t", "w + 20", "w + 53"], ["w", "p + 8", "p + 61"], ["p", 20, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"p": 20}, "is_reverse": true}} | 9,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 20; p = 20; k = p + 15; v = a + 10; l = g + 1; f = t + 5; g = f + 13; i = d + 14; z = v + 15; w = p + 8; a = i + 17; d = k + 13; x = l + 14. If p = 20, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 1 to x, which gives x = g + 15.\n2. Substitute g = f + 13 to x, which gives x = f + 28.\n3. Substitute f = t + 5 to x, which gives x = t + 33.\n4. Substitute t = w + 20 to x, which gives x = w + 53.\n5. Substitute w = p + 8 to x, which gives x = p + 61.\n6. Substitute p = 20 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 9702,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 20; p = 20; k = p + 15; v = a + 10; l = g + 1; f = t + 5; g = f + 13; i = d + 14; z = v + 15; w = p + 8; a = i + 17; d = k + 13; x = l + 14. If p = 20, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 16", "f": "a + 18", "c": "f + 11", "r": "c + 13", "i": "r + 1", "w": "i + 19", "p": "s + 15", "b": "p + 3", "l": "b + 20", "k": "l + 20", "e": "k + 20", "t": "e + 19", "s": 17}, "premises": {"s": 17}, "target": "w"}, "answer": {"steps": [["i", "r + 1", "r + 20"], ["r", "c + 13", "c + 33"], ["c", "f + 11", "f + 44"], ["f", "a + 18", "a + 62"], ["a", "s + 16", "s + 78"], ["s", 17, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"s": 17}, "is_reverse": true}} | 9,703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 17; a = s + 16; t = e + 19; l = b + 20; f = a + 18; p = s + 15; k = l + 20; w = i + 19; r = c + 13; c = f + 11; b = p + 3; e = k + 20; i = r + 1. Given that s = 17, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 1 to w, which gives w = r + 20.\n2. Substitute r = c + 13 to w, which gives w = c + 33.\n3. Substitute c = f + 11 to w, which gives w = f + 44.\n4. Substitute f = a + 18 to w, which gives w = a + 62.\n5. Substitute a = s + 16 to w, which gives w = s + 78.\n6. Substitute s = 17 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 9703,
"question": "Suppose a collection of variables is related by the following definitions: s = 17; a = s + 16; t = e + 19; l = b + 20; f = a + 18; p = s + 15; k = l + 20; w = i + 19; r = c + 13; c = f + 11; b = p + 3; e = k + 20; i = r + 1. Given that s = 17, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 5", "g": "b + 13", "x": "g + 19", "u": "x + 20", "q": "u + 14", "k": "q + 1", "d": "m + 4", "r": "d + 14", "c": "r + 6", "o": "c + 6", "n": "o + 7", "l": "n + 20", "m": 14}, "premises": {"m": 14}, "target": "k"}, "answer": {"steps": [["q", "u + 14", "u + 15"], ["u", "x + 20", "x + 35"], ["x", "g + 19", "g + 54"], ["g", "b + 13", "b + 67"], ["b", "m + 5", "m + 72"], ["m", 14, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"m": 14}, "is_reverse": true}} | 9,704 | 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 + 20; r = d + 14; g = b + 13; o = c + 6; d = m + 4; q = u + 14; b = m + 5; l = n + 20; m = 14; c = r + 6; n = o + 7; x = g + 19; k = q + 1. If m = 14, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 14 to k, which gives k = u + 15.\n2. Substitute u = x + 20 to k, which gives k = x + 35.\n3. Substitute x = g + 19 to k, which gives k = g + 54.\n4. Substitute g = b + 13 to k, which gives k = b + 67.\n5. Substitute b = m + 5 to k, which gives k = m + 72.\n6. Substitute m = 14 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 9704,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 20; r = d + 14; g = b + 13; o = c + 6; d = m + 4; q = u + 14; b = m + 5; l = n + 20; m = 14; c = r + 6; n = o + 7; x = g + 19; k = q + 1. If m = 14, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 20", "d": "i + 2", "b": "d + 3", "w": "b + 6", "e": "w + 7", "c": "e + 8", "l": "x + 10", "h": "l + 16", "v": "h + 1", "y": "v + 16", "z": "y + 12", "g": "z + 6", "x": 4}, "premises": {"x": 4}, "target": "c"}, "answer": {"steps": [["e", "w + 7", "w + 15"], ["w", "b + 6", "b + 21"], ["b", "d + 3", "d + 24"], ["d", "i + 2", "i + 26"], ["i", "x + 20", "x + 46"], ["x", 4, "50"]], "target_var_name": "c", "target_value": 50, "value_dict": {"x": 4}, "is_reverse": true}} | 9,705 | 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 = b + 6; i = x + 20; e = w + 7; v = h + 1; z = y + 12; x = 4; b = d + 3; l = x + 10; c = e + 8; h = l + 16; y = v + 16; d = i + 2; g = z + 6. If x = 4, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 7 to c, which gives c = w + 15.\n2. Substitute w = b + 6 to c, which gives c = b + 21.\n3. Substitute b = d + 3 to c, which gives c = d + 24.\n4. Substitute d = i + 2 to c, which gives c = i + 26.\n5. Substitute i = x + 20 to c, which gives c = x + 46.\n6. Substitute x = 4 to c, which gives c = 50.\n\nThus, the final answer is c = \\boxed{50}.",
"index": 9705,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 6; i = x + 20; e = w + 7; v = h + 1; z = y + 12; x = 4; b = d + 3; l = x + 10; c = e + 8; h = l + 16; y = v + 16; d = i + 2; g = z + 6. If x = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 7", "k": "b + 11", "z": "k + 3", "s": "z + 9", "n": "s + 14", "d": "n + 9", "a": "m + 16", "f": "a + 3", "l": "f + 9", "o": "l + 4", "u": "o + 10", "q": "u + 17", "m": 17}, "premises": {"m": 17}, "target": "d"}, "answer": {"steps": [["n", "s + 14", "s + 23"], ["s", "z + 9", "z + 32"], ["z", "k + 3", "k + 35"], ["k", "b + 11", "b + 46"], ["b", "m + 7", "m + 53"], ["m", 17, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"m": 17}, "is_reverse": true}} | 9,706 | 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 = z + 9; f = a + 3; b = m + 7; u = o + 10; l = f + 9; a = m + 16; m = 17; k = b + 11; d = n + 9; q = u + 17; n = s + 14; o = l + 4; z = k + 3. If m = 17, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 14 to d, which gives d = s + 23.\n2. Substitute s = z + 9 to d, which gives d = z + 32.\n3. Substitute z = k + 3 to d, which gives d = k + 35.\n4. Substitute k = b + 11 to d, which gives d = b + 46.\n5. Substitute b = m + 7 to d, which gives d = m + 53.\n6. Substitute m = 17 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 9706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 9; f = a + 3; b = m + 7; u = o + 10; l = f + 9; a = m + 16; m = 17; k = b + 11; d = n + 9; q = u + 17; n = s + 14; o = l + 4; z = k + 3. If m = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 15", "h": "n + 11", "a": "h + 16", "l": "a + 17", "i": "l + 1", "c": "i + 3", "k": "m + 18", "t": "k + 10", "w": "t + 8", "z": "w + 2", "f": "z + 6", "p": "f + 16", "m": 7}, "premises": {"m": 7}, "target": "c"}, "answer": {"steps": [["i", "l + 1", "l + 4"], ["l", "a + 17", "a + 21"], ["a", "h + 16", "h + 37"], ["h", "n + 11", "n + 48"], ["n", "m + 15", "m + 63"], ["m", 7, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"m": 7}, "is_reverse": true}} | 9,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 6; p = f + 16; z = w + 2; h = n + 11; w = t + 8; c = i + 3; k = m + 18; a = h + 16; t = k + 10; i = l + 1; n = m + 15; l = a + 17; m = 7. Given that m = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 1 to c, which gives c = l + 4.\n2. Substitute l = a + 17 to c, which gives c = a + 21.\n3. Substitute a = h + 16 to c, which gives c = h + 37.\n4. Substitute h = n + 11 to c, which gives c = n + 48.\n5. Substitute n = m + 15 to c, which gives c = m + 63.\n6. Substitute m = 7 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 9707,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 6; p = f + 16; z = w + 2; h = n + 11; w = t + 8; c = i + 3; k = m + 18; a = h + 16; t = k + 10; i = l + 1; n = m + 15; l = a + 17; m = 7. Given that m = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 10", "q": "j + 20", "u": "q + 13", "p": "u + 18", "a": "p + 10", "e": "a + 20", "h": "g + 2", "o": "h + 3", "k": "o + 15", "d": "k + 10", "v": "d + 17", "w": "v + 9", "g": 6}, "premises": {"g": 6}, "target": "e"}, "answer": {"steps": [["a", "p + 10", "p + 30"], ["p", "u + 18", "u + 48"], ["u", "q + 13", "q + 61"], ["q", "j + 20", "j + 81"], ["j", "g + 10", "g + 91"], ["g", 6, "97"]], "target_var_name": "e", "target_value": 97, "value_dict": {"g": 6}, "is_reverse": true}} | 9,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 13; q = j + 20; a = p + 10; e = a + 20; o = h + 3; w = v + 9; v = d + 17; j = g + 10; p = u + 18; k = o + 15; g = 6; d = k + 10; h = g + 2. If g = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 10 to e, which gives e = p + 30.\n2. Substitute p = u + 18 to e, which gives e = u + 48.\n3. Substitute u = q + 13 to e, which gives e = q + 61.\n4. Substitute q = j + 20 to e, which gives e = j + 81.\n5. Substitute j = g + 10 to e, which gives e = g + 91.\n6. Substitute g = 6 to e, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 9708,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 13; q = j + 20; a = p + 10; e = a + 20; o = h + 3; w = v + 9; v = d + 17; j = g + 10; p = u + 18; k = o + 15; g = 6; d = k + 10; h = g + 2. If g = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 9", "s": "y + 20", "f": "s + 7", "j": "f + 5", "k": "j + 19", "q": "k + 6", "p": "t + 8", "l": "p + 2", "o": "l + 1", "m": "o + 4", "n": "m + 11", "g": "n + 5", "t": 8}, "premises": {"t": 8}, "target": "q"}, "answer": {"steps": [["k", "j + 19", "j + 25"], ["j", "f + 5", "f + 30"], ["f", "s + 7", "s + 37"], ["s", "y + 20", "y + 57"], ["y", "t + 9", "t + 66"], ["t", 8, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"t": 8}, "is_reverse": true}} | 9,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 5; g = n + 5; s = y + 20; q = k + 6; p = t + 8; n = m + 11; k = j + 19; m = o + 4; y = t + 9; t = 8; l = p + 2; o = l + 1; f = s + 7. If t = 8, what is the resulting 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 k = j + 19 to q, which gives q = j + 25.\n2. Substitute j = f + 5 to q, which gives q = f + 30.\n3. Substitute f = s + 7 to q, which gives q = s + 37.\n4. Substitute s = y + 20 to q, which gives q = y + 57.\n5. Substitute y = t + 9 to q, which gives q = t + 66.\n6. Substitute t = 8 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 9709,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 5; g = n + 5; s = y + 20; q = k + 6; p = t + 8; n = m + 11; k = j + 19; m = o + 4; y = t + 9; t = 8; l = p + 2; o = l + 1; f = s + 7. If t = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 2", "d": "a + 16", "q": "d + 20", "z": "q + 13", "m": "z + 11", "i": "m + 14", "l": "v + 13", "f": "l + 19", "u": "f + 4", "c": "u + 16", "e": "c + 4", "t": "e + 5", "v": 17}, "premises": {"v": 17}, "target": "i"}, "answer": {"steps": [["m", "z + 11", "z + 25"], ["z", "q + 13", "q + 38"], ["q", "d + 20", "d + 58"], ["d", "a + 16", "a + 74"], ["a", "v + 2", "v + 76"], ["v", 17, "93"]], "target_var_name": "i", "target_value": 93, "value_dict": {"v": 17}, "is_reverse": true}} | 9,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 13; t = e + 5; d = a + 16; e = c + 4; c = u + 16; u = f + 4; v = 17; a = v + 2; f = l + 19; z = q + 13; q = d + 20; i = m + 14; m = z + 11. Given that v = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 11 to i, which gives i = z + 25.\n2. Substitute z = q + 13 to i, which gives i = q + 38.\n3. Substitute q = d + 20 to i, which gives i = d + 58.\n4. Substitute d = a + 16 to i, which gives i = a + 74.\n5. Substitute a = v + 2 to i, which gives i = v + 76.\n6. Substitute v = 17 to i, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 9710,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 13; t = e + 5; d = a + 16; e = c + 4; c = u + 16; u = f + 4; v = 17; a = v + 2; f = l + 19; z = q + 13; q = d + 20; i = m + 14; m = z + 11. Given that v = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 19", "p": "a + 11", "x": "p + 5", "d": "x + 15", "y": "d + 3", "o": "y + 5", "c": "r + 2", "i": "c + 4", "f": "i + 2", "u": "f + 17", "b": "u + 16", "g": "b + 19", "r": 4}, "premises": {"r": 4}, "target": "o"}, "answer": {"steps": [["y", "d + 3", "d + 8"], ["d", "x + 15", "x + 23"], ["x", "p + 5", "p + 28"], ["p", "a + 11", "a + 39"], ["a", "r + 19", "r + 58"], ["r", 4, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"r": 4}, "is_reverse": true}} | 9,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 11; x = p + 5; f = i + 2; u = f + 17; d = x + 15; i = c + 4; r = 4; g = b + 19; a = r + 19; y = d + 3; o = y + 5; c = r + 2; b = u + 16. If r = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 3 to o, which gives o = d + 8.\n2. Substitute d = x + 15 to o, which gives o = x + 23.\n3. Substitute x = p + 5 to o, which gives o = p + 28.\n4. Substitute p = a + 11 to o, which gives o = a + 39.\n5. Substitute a = r + 19 to o, which gives o = r + 58.\n6. Substitute r = 4 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 9711,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 11; x = p + 5; f = i + 2; u = f + 17; d = x + 15; i = c + 4; r = 4; g = b + 19; a = r + 19; y = d + 3; o = y + 5; c = r + 2; b = u + 16. If r = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 11", "p": "y + 2", "x": "p + 6", "r": "x + 16", "w": "r + 11", "b": "w + 3", "j": "u + 18", "a": "j + 11", "e": "a + 6", "n": "e + 4", "l": "n + 8", "v": "l + 14", "u": 15}, "premises": {"u": 15}, "target": "b"}, "answer": {"steps": [["w", "r + 11", "r + 14"], ["r", "x + 16", "x + 30"], ["x", "p + 6", "p + 36"], ["p", "y + 2", "y + 38"], ["y", "u + 11", "u + 49"], ["u", 15, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"u": 15}, "is_reverse": true}} | 9,712 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = x + 16; j = u + 18; n = e + 4; w = r + 11; b = w + 3; l = n + 8; e = a + 6; u = 15; v = l + 14; p = y + 2; a = j + 11; y = u + 11; x = p + 6. If u = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 11 to b, which gives b = r + 14.\n2. Substitute r = x + 16 to b, which gives b = x + 30.\n3. Substitute x = p + 6 to b, which gives b = p + 36.\n4. Substitute p = y + 2 to b, which gives b = y + 38.\n5. Substitute y = u + 11 to b, which gives b = u + 49.\n6. Substitute u = 15 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 9712,
"question": "Consider a system of variables where each variable is defined as follows: r = x + 16; j = u + 18; n = e + 4; w = r + 11; b = w + 3; l = n + 8; e = a + 6; u = 15; v = l + 14; p = y + 2; a = j + 11; y = u + 11; x = p + 6. If u = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 18", "m": "w + 4", "b": "m + 12", "e": "b + 9", "l": "e + 14", "j": "l + 16", "v": "a + 15", "o": "v + 3", "g": "o + 20", "n": "g + 1", "r": "n + 13", "q": "r + 14", "a": 4}, "premises": {"a": 4}, "target": "j"}, "answer": {"steps": [["l", "e + 14", "e + 30"], ["e", "b + 9", "b + 39"], ["b", "m + 12", "m + 51"], ["m", "w + 4", "w + 55"], ["w", "a + 18", "a + 73"], ["a", 4, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"a": 4}, "is_reverse": true}} | 9,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 18; m = w + 4; e = b + 9; v = a + 15; a = 4; b = m + 12; o = v + 3; g = o + 20; l = e + 14; r = n + 13; n = g + 1; j = l + 16; q = r + 14. If a = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 14 to j, which gives j = e + 30.\n2. Substitute e = b + 9 to j, which gives j = b + 39.\n3. Substitute b = m + 12 to j, which gives j = m + 51.\n4. Substitute m = w + 4 to j, which gives j = w + 55.\n5. Substitute w = a + 18 to j, which gives j = a + 73.\n6. Substitute a = 4 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 9713,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 18; m = w + 4; e = b + 9; v = a + 15; a = 4; b = m + 12; o = v + 3; g = o + 20; l = e + 14; r = n + 13; n = g + 1; j = l + 16; q = r + 14. If a = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 3", "t": "d + 18", "b": "t + 14", "s": "b + 3", "o": "s + 19", "c": "o + 14", "a": "y + 13", "v": "a + 15", "q": "v + 7", "i": "q + 12", "n": "i + 5", "w": "n + 2", "y": 3}, "premises": {"y": 3}, "target": "c"}, "answer": {"steps": [["o", "s + 19", "s + 33"], ["s", "b + 3", "b + 36"], ["b", "t + 14", "t + 50"], ["t", "d + 18", "d + 68"], ["d", "y + 3", "y + 71"], ["y", 3, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"y": 3}, "is_reverse": true}} | 9,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 5; w = n + 2; a = y + 13; c = o + 14; b = t + 14; q = v + 7; s = b + 3; t = d + 18; v = a + 15; i = q + 12; d = y + 3; y = 3; o = s + 19. If y = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 19 to c, which gives c = s + 33.\n2. Substitute s = b + 3 to c, which gives c = b + 36.\n3. Substitute b = t + 14 to c, which gives c = t + 50.\n4. Substitute t = d + 18 to c, which gives c = d + 68.\n5. Substitute d = y + 3 to c, which gives c = y + 71.\n6. Substitute y = 3 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 9714,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 5; w = n + 2; a = y + 13; c = o + 14; b = t + 14; q = v + 7; s = b + 3; t = d + 18; v = a + 15; i = q + 12; d = y + 3; y = 3; o = s + 19. If y = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 2", "l": "i + 9", "w": "l + 20", "s": "w + 17", "n": "s + 12", "c": "n + 19", "q": "g + 15", "b": "q + 18", "p": "b + 8", "h": "p + 12", "k": "h + 11", "t": "k + 18", "g": 4}, "premises": {"g": 4}, "target": "c"}, "answer": {"steps": [["n", "s + 12", "s + 31"], ["s", "w + 17", "w + 48"], ["w", "l + 20", "l + 68"], ["l", "i + 9", "i + 77"], ["i", "g + 2", "g + 79"], ["g", 4, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"g": 4}, "is_reverse": true}} | 9,715 | 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 = g + 15; s = w + 17; k = h + 11; t = k + 18; n = s + 12; p = b + 8; g = 4; c = n + 19; h = p + 12; l = i + 9; b = q + 18; w = l + 20; i = g + 2. If g = 4, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 12 to c, which gives c = s + 31.\n2. Substitute s = w + 17 to c, which gives c = w + 48.\n3. Substitute w = l + 20 to c, which gives c = l + 68.\n4. Substitute l = i + 9 to c, which gives c = i + 77.\n5. Substitute i = g + 2 to c, which gives c = g + 79.\n6. Substitute g = 4 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 9715,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 15; s = w + 17; k = h + 11; t = k + 18; n = s + 12; p = b + 8; g = 4; c = n + 19; h = p + 12; l = i + 9; b = q + 18; w = l + 20; i = g + 2. If g = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 16", "p": "a + 4", "j": "p + 13", "k": "j + 18", "r": "k + 2", "b": "r + 19", "e": "u + 2", "f": "e + 13", "h": "f + 17", "g": "h + 18", "n": "g + 9", "o": "n + 17", "u": 20}, "premises": {"u": 20}, "target": "b"}, "answer": {"steps": [["r", "k + 2", "k + 21"], ["k", "j + 18", "j + 39"], ["j", "p + 13", "p + 52"], ["p", "a + 4", "a + 56"], ["a", "u + 16", "u + 72"], ["u", 20, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"u": 20}, "is_reverse": true}} | 9,716 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 2; p = a + 4; o = n + 17; g = h + 18; h = f + 17; u = 20; r = k + 2; f = e + 13; j = p + 13; a = u + 16; k = j + 18; n = g + 9; b = r + 19. If u = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 2 to b, which gives b = k + 21.\n2. Substitute k = j + 18 to b, which gives b = j + 39.\n3. Substitute j = p + 13 to b, which gives b = p + 52.\n4. Substitute p = a + 4 to b, which gives b = a + 56.\n5. Substitute a = u + 16 to b, which gives b = u + 72.\n6. Substitute u = 20 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 9716,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = u + 2; p = a + 4; o = n + 17; g = h + 18; h = f + 17; u = 20; r = k + 2; f = e + 13; j = p + 13; a = u + 16; k = j + 18; n = g + 9; b = r + 19. If u = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 2", "p": "d + 14", "g": "p + 6", "t": "g + 11", "x": "t + 11", "r": "x + 16", "j": "k + 16", "q": "j + 7", "u": "q + 1", "v": "u + 10", "f": "v + 4", "o": "f + 8", "k": 5}, "premises": {"k": 5}, "target": "r"}, "answer": {"steps": [["x", "t + 11", "t + 27"], ["t", "g + 11", "g + 38"], ["g", "p + 6", "p + 44"], ["p", "d + 14", "d + 58"], ["d", "k + 2", "k + 60"], ["k", 5, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"k": 5}, "is_reverse": true}} | 9,717 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 11; p = d + 14; k = 5; g = p + 6; q = j + 7; j = k + 16; d = k + 2; o = f + 8; x = t + 11; u = q + 1; f = v + 4; r = x + 16; v = u + 10. Given that k = 5, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 11 to r, which gives r = t + 27.\n2. Substitute t = g + 11 to r, which gives r = g + 38.\n3. Substitute g = p + 6 to r, which gives r = p + 44.\n4. Substitute p = d + 14 to r, which gives r = d + 58.\n5. Substitute d = k + 2 to r, which gives r = k + 60.\n6. Substitute k = 5 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 9717,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 11; p = d + 14; k = 5; g = p + 6; q = j + 7; j = k + 16; d = k + 2; o = f + 8; x = t + 11; u = q + 1; f = v + 4; r = x + 16; v = u + 10. Given that k = 5, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 19", "n": "c + 17", "e": "n + 16", "k": "e + 4", "j": "k + 2", "w": "j + 6", "m": "x + 4", "f": "m + 4", "y": "f + 4", "g": "y + 20", "o": "g + 3", "z": "o + 4", "x": 16}, "premises": {"x": 16}, "target": "w"}, "answer": {"steps": [["j", "k + 2", "k + 8"], ["k", "e + 4", "e + 12"], ["e", "n + 16", "n + 28"], ["n", "c + 17", "c + 45"], ["c", "x + 19", "x + 64"], ["x", 16, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"x": 16}, "is_reverse": true}} | 9,718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 2; k = e + 4; o = g + 3; w = j + 6; f = m + 4; c = x + 19; e = n + 16; m = x + 4; y = f + 4; x = 16; z = o + 4; n = c + 17; g = y + 20. If x = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 2 to w, which gives w = k + 8.\n2. Substitute k = e + 4 to w, which gives w = e + 12.\n3. Substitute e = n + 16 to w, which gives w = n + 28.\n4. Substitute n = c + 17 to w, which gives w = c + 45.\n5. Substitute c = x + 19 to w, which gives w = x + 64.\n6. Substitute x = 16 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 9718,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 2; k = e + 4; o = g + 3; w = j + 6; f = m + 4; c = x + 19; e = n + 16; m = x + 4; y = f + 4; x = 16; z = o + 4; n = c + 17; g = y + 20. If x = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 20", "x": "i + 14", "m": "x + 20", "p": "m + 11", "o": "p + 9", "n": "o + 7", "r": "l + 15", "d": "r + 11", "t": "d + 7", "w": "t + 6", "y": "w + 9", "c": "y + 20", "l": 5}, "premises": {"l": 5}, "target": "n"}, "answer": {"steps": [["o", "p + 9", "p + 16"], ["p", "m + 11", "m + 27"], ["m", "x + 20", "x + 47"], ["x", "i + 14", "i + 61"], ["i", "l + 20", "l + 81"], ["l", 5, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"l": 5}, "is_reverse": true}} | 9,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 20; i = l + 20; y = w + 9; w = t + 6; x = i + 14; r = l + 15; p = m + 11; d = r + 11; l = 5; o = p + 9; m = x + 20; n = o + 7; t = d + 7. Given that l = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 9 to n, which gives n = p + 16.\n2. Substitute p = m + 11 to n, which gives n = m + 27.\n3. Substitute m = x + 20 to n, which gives n = x + 47.\n4. Substitute x = i + 14 to n, which gives n = i + 61.\n5. Substitute i = l + 20 to n, which gives n = l + 81.\n6. Substitute l = 5 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 9719,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 20; i = l + 20; y = w + 9; w = t + 6; x = i + 14; r = l + 15; p = m + 11; d = r + 11; l = 5; o = p + 9; m = x + 20; n = o + 7; t = d + 7. Given that l = 5, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 17", "h": "a + 14", "k": "h + 9", "n": "k + 9", "t": "n + 4", "c": "t + 20", "u": "s + 5", "z": "u + 14", "x": "z + 11", "r": "x + 1", "o": "r + 6", "v": "o + 9", "s": 10}, "premises": {"s": 10}, "target": "c"}, "answer": {"steps": [["t", "n + 4", "n + 24"], ["n", "k + 9", "k + 33"], ["k", "h + 9", "h + 42"], ["h", "a + 14", "a + 56"], ["a", "s + 17", "s + 73"], ["s", 10, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"s": 10}, "is_reverse": true}} | 9,720 | 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 = t + 20; n = k + 9; x = z + 11; h = a + 14; u = s + 5; v = o + 9; r = x + 1; o = r + 6; s = 10; a = s + 17; z = u + 14; t = n + 4; k = h + 9. If s = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 4 to c, which gives c = n + 24.\n2. Substitute n = k + 9 to c, which gives c = k + 33.\n3. Substitute k = h + 9 to c, which gives c = h + 42.\n4. Substitute h = a + 14 to c, which gives c = a + 56.\n5. Substitute a = s + 17 to c, which gives c = s + 73.\n6. Substitute s = 10 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 9720,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 20; n = k + 9; x = z + 11; h = a + 14; u = s + 5; v = o + 9; r = x + 1; o = r + 6; s = 10; a = s + 17; z = u + 14; t = n + 4; k = h + 9. If s = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 13", "m": "h + 5", "s": "m + 9", "q": "s + 17", "r": "q + 5", "b": "r + 4", "i": "z + 17", "e": "i + 13", "p": "e + 5", "a": "p + 16", "j": "a + 10", "o": "j + 4", "z": 14}, "premises": {"z": 14}, "target": "b"}, "answer": {"steps": [["r", "q + 5", "q + 9"], ["q", "s + 17", "s + 26"], ["s", "m + 9", "m + 35"], ["m", "h + 5", "h + 40"], ["h", "z + 13", "z + 53"], ["z", 14, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"z": 14}, "is_reverse": true}} | 9,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 13; j = a + 10; p = e + 5; q = s + 17; o = j + 4; s = m + 9; z = 14; r = q + 5; a = p + 16; i = z + 17; b = r + 4; m = h + 5; h = z + 13. If z = 14, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 5 to b, which gives b = q + 9.\n2. Substitute q = s + 17 to b, which gives b = s + 26.\n3. Substitute s = m + 9 to b, which gives b = m + 35.\n4. Substitute m = h + 5 to b, which gives b = h + 40.\n5. Substitute h = z + 13 to b, which gives b = z + 53.\n6. Substitute z = 14 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 9721,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 13; j = a + 10; p = e + 5; q = s + 17; o = j + 4; s = m + 9; z = 14; r = q + 5; a = p + 16; i = z + 17; b = r + 4; m = h + 5; h = z + 13. If z = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 11", "f": "o + 18", "a": "f + 20", "s": "a + 5", "k": "s + 10", "m": "k + 14", "w": "q + 3", "c": "w + 15", "t": "c + 2", "y": "t + 6", "g": "y + 2", "j": "g + 4", "q": 15}, "premises": {"q": 15}, "target": "m"}, "answer": {"steps": [["k", "s + 10", "s + 24"], ["s", "a + 5", "a + 29"], ["a", "f + 20", "f + 49"], ["f", "o + 18", "o + 67"], ["o", "q + 11", "q + 78"], ["q", 15, "93"]], "target_var_name": "m", "target_value": 93, "value_dict": {"q": 15}, "is_reverse": true}} | 9,722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 5; f = o + 18; k = s + 10; c = w + 15; w = q + 3; o = q + 11; g = y + 2; m = k + 14; a = f + 20; t = c + 2; q = 15; y = t + 6; j = g + 4. Given that q = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 10 to m, which gives m = s + 24.\n2. Substitute s = a + 5 to m, which gives m = a + 29.\n3. Substitute a = f + 20 to m, which gives m = f + 49.\n4. Substitute f = o + 18 to m, which gives m = o + 67.\n5. Substitute o = q + 11 to m, which gives m = q + 78.\n6. Substitute q = 15 to m, which gives m = 93.\n\nThus, the final answer is m = \\boxed{93}.",
"index": 9722,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 5; f = o + 18; k = s + 10; c = w + 15; w = q + 3; o = q + 11; g = y + 2; m = k + 14; a = f + 20; t = c + 2; q = 15; y = t + 6; j = g + 4. Given that q = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 13", "v": "y + 11", "o": "v + 14", "j": "o + 1", "r": "j + 18", "l": "r + 17", "p": "a + 3", "h": "p + 20", "t": "h + 16", "m": "t + 12", "e": "m + 9", "n": "e + 2", "a": 18}, "premises": {"a": 18}, "target": "l"}, "answer": {"steps": [["r", "j + 18", "j + 35"], ["j", "o + 1", "o + 36"], ["o", "v + 14", "v + 50"], ["v", "y + 11", "y + 61"], ["y", "a + 13", "a + 74"], ["a", 18, "92"]], "target_var_name": "l", "target_value": 92, "value_dict": {"a": 18}, "is_reverse": true}} | 9,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = y + 11; l = r + 17; h = p + 20; e = m + 9; m = t + 12; r = j + 18; p = a + 3; j = o + 1; o = v + 14; n = e + 2; y = a + 13; t = h + 16; a = 18. Given that a = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 18 to l, which gives l = j + 35.\n2. Substitute j = o + 1 to l, which gives l = o + 36.\n3. Substitute o = v + 14 to l, which gives l = v + 50.\n4. Substitute v = y + 11 to l, which gives l = y + 61.\n5. Substitute y = a + 13 to l, which gives l = a + 74.\n6. Substitute a = 18 to l, which gives l = 92.\n\nThus, the final answer is l = \\boxed{92}.",
"index": 9723,
"question": "Suppose a collection of variables is related by the following definitions: v = y + 11; l = r + 17; h = p + 20; e = m + 9; m = t + 12; r = j + 18; p = a + 3; j = o + 1; o = v + 14; n = e + 2; y = a + 13; t = h + 16; a = 18. Given that a = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 19", "t": "x + 7", "z": "t + 18", "n": "z + 12", "c": "n + 14", "q": "c + 8", "e": "w + 17", "s": "e + 4", "g": "s + 6", "r": "g + 15", "f": "r + 9", "u": "f + 14", "w": 17}, "premises": {"w": 17}, "target": "q"}, "answer": {"steps": [["c", "n + 14", "n + 22"], ["n", "z + 12", "z + 34"], ["z", "t + 18", "t + 52"], ["t", "x + 7", "x + 59"], ["x", "w + 19", "w + 78"], ["w", 17, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"w": 17}, "is_reverse": true}} | 9,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = w + 17; f = r + 9; c = n + 14; z = t + 18; s = e + 4; q = c + 8; n = z + 12; t = x + 7; u = f + 14; x = w + 19; r = g + 15; w = 17; g = s + 6. Given that w = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 14 to q, which gives q = n + 22.\n2. Substitute n = z + 12 to q, which gives q = z + 34.\n3. Substitute z = t + 18 to q, which gives q = t + 52.\n4. Substitute t = x + 7 to q, which gives q = x + 59.\n5. Substitute x = w + 19 to q, which gives q = w + 78.\n6. Substitute w = 17 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 9724,
"question": "Suppose a collection of variables is related by the following definitions: e = w + 17; f = r + 9; c = n + 14; z = t + 18; s = e + 4; q = c + 8; n = z + 12; t = x + 7; u = f + 14; x = w + 19; r = g + 15; w = 17; g = s + 6. Given that w = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 20", "p": "x + 12", "l": "p + 8", "o": "l + 12", "r": "o + 13", "t": "r + 20", "n": "s + 16", "u": "n + 2", "w": "u + 9", "h": "w + 1", "q": "h + 17", "k": "q + 4", "s": 6}, "premises": {"s": 6}, "target": "t"}, "answer": {"steps": [["r", "o + 13", "o + 33"], ["o", "l + 12", "l + 45"], ["l", "p + 8", "p + 53"], ["p", "x + 12", "x + 65"], ["x", "s + 20", "s + 85"], ["s", 6, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"s": 6}, "is_reverse": true}} | 9,725 | 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 = r + 20; l = p + 8; k = q + 4; r = o + 13; q = h + 17; p = x + 12; s = 6; o = l + 12; h = w + 1; x = s + 20; u = n + 2; w = u + 9; n = s + 16. If s = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 13 to t, which gives t = o + 33.\n2. Substitute o = l + 12 to t, which gives t = l + 45.\n3. Substitute l = p + 8 to t, which gives t = p + 53.\n4. Substitute p = x + 12 to t, which gives t = x + 65.\n5. Substitute x = s + 20 to t, which gives t = s + 85.\n6. Substitute s = 6 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 9725,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 20; l = p + 8; k = q + 4; r = o + 13; q = h + 17; p = x + 12; s = 6; o = l + 12; h = w + 1; x = s + 20; u = n + 2; w = u + 9; n = s + 16. If s = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 17", "o": "d + 11", "v": "o + 20", "j": "v + 9", "l": "j + 6", "b": "l + 5", "m": "y + 18", "e": "m + 16", "w": "e + 7", "t": "w + 1", "u": "t + 9", "f": "u + 10", "y": 2}, "premises": {"y": 2}, "target": "b"}, "answer": {"steps": [["l", "j + 6", "j + 11"], ["j", "v + 9", "v + 20"], ["v", "o + 20", "o + 40"], ["o", "d + 11", "d + 51"], ["d", "y + 17", "y + 68"], ["y", 2, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"y": 2}, "is_reverse": true}} | 9,726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 1; f = u + 10; j = v + 9; v = o + 20; l = j + 6; e = m + 16; b = l + 5; m = y + 18; d = y + 17; o = d + 11; y = 2; w = e + 7; u = t + 9. If y = 2, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 6 to b, which gives b = j + 11.\n2. Substitute j = v + 9 to b, which gives b = v + 20.\n3. Substitute v = o + 20 to b, which gives b = o + 40.\n4. Substitute o = d + 11 to b, which gives b = d + 51.\n5. Substitute d = y + 17 to b, which gives b = y + 68.\n6. Substitute y = 2 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 9726,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 1; f = u + 10; j = v + 9; v = o + 20; l = j + 6; e = m + 16; b = l + 5; m = y + 18; d = y + 17; o = d + 11; y = 2; w = e + 7; u = t + 9. If y = 2, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 1", "j": "m + 12", "f": "j + 12", "q": "f + 3", "x": "q + 17", "p": "x + 9", "d": "v + 1", "w": "d + 2", "n": "w + 5", "g": "n + 18", "t": "g + 5", "b": "t + 8", "v": 2}, "premises": {"v": 2}, "target": "p"}, "answer": {"steps": [["x", "q + 17", "q + 26"], ["q", "f + 3", "f + 29"], ["f", "j + 12", "j + 41"], ["j", "m + 12", "m + 53"], ["m", "v + 1", "v + 54"], ["v", 2, "56"]], "target_var_name": "p", "target_value": 56, "value_dict": {"v": 2}, "is_reverse": true}} | 9,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = v + 1; v = 2; t = g + 5; b = t + 8; d = v + 1; q = f + 3; f = j + 12; j = m + 12; g = n + 18; x = q + 17; p = x + 9; n = w + 5; w = d + 2. Given that v = 2, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 17 to p, which gives p = q + 26.\n2. Substitute q = f + 3 to p, which gives p = f + 29.\n3. Substitute f = j + 12 to p, which gives p = j + 41.\n4. Substitute j = m + 12 to p, which gives p = m + 53.\n5. Substitute m = v + 1 to p, which gives p = v + 54.\n6. Substitute v = 2 to p, which gives p = 56.\n\nThus, the final answer is p = \\boxed{56}.",
"index": 9727,
"question": "Suppose a collection of variables is related by the following definitions: m = v + 1; v = 2; t = g + 5; b = t + 8; d = v + 1; q = f + 3; f = j + 12; j = m + 12; g = n + 18; x = q + 17; p = x + 9; n = w + 5; w = d + 2. Given that v = 2, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 15", "x": "i + 16", "a": "x + 1", "s": "a + 7", "k": "s + 13", "l": "k + 20", "z": "v + 16", "o": "z + 18", "u": "o + 16", "w": "u + 16", "h": "w + 4", "j": "h + 9", "v": 3}, "premises": {"v": 3}, "target": "l"}, "answer": {"steps": [["k", "s + 13", "s + 33"], ["s", "a + 7", "a + 40"], ["a", "x + 1", "x + 41"], ["x", "i + 16", "i + 57"], ["i", "v + 15", "v + 72"], ["v", 3, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"v": 3}, "is_reverse": true}} | 9,728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = i + 16; i = v + 15; w = u + 16; u = o + 16; z = v + 16; v = 3; k = s + 13; j = h + 9; h = w + 4; a = x + 1; l = k + 20; s = a + 7; o = z + 18. Given that v = 3, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 13 to l, which gives l = s + 33.\n2. Substitute s = a + 7 to l, which gives l = a + 40.\n3. Substitute a = x + 1 to l, which gives l = x + 41.\n4. Substitute x = i + 16 to l, which gives l = i + 57.\n5. Substitute i = v + 15 to l, which gives l = v + 72.\n6. Substitute v = 3 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 9728,
"question": "Suppose a collection of variables is related by the following definitions: x = i + 16; i = v + 15; w = u + 16; u = o + 16; z = v + 16; v = 3; k = s + 13; j = h + 9; h = w + 4; a = x + 1; l = k + 20; s = a + 7; o = z + 18. Given that v = 3, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 16", "f": "z + 3", "a": "f + 20", "g": "a + 7", "s": "g + 6", "p": "s + 5", "o": "t + 17", "y": "o + 16", "m": "y + 20", "j": "m + 10", "n": "j + 19", "h": "n + 5", "t": 11}, "premises": {"t": 11}, "target": "p"}, "answer": {"steps": [["s", "g + 6", "g + 11"], ["g", "a + 7", "a + 18"], ["a", "f + 20", "f + 38"], ["f", "z + 3", "z + 41"], ["z", "t + 16", "t + 57"], ["t", 11, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"t": 11}, "is_reverse": true}} | 9,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 17; p = s + 5; t = 11; s = g + 6; m = y + 20; h = n + 5; f = z + 3; y = o + 16; g = a + 7; n = j + 19; z = t + 16; a = f + 20; j = m + 10. Given that t = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 6 to p, which gives p = g + 11.\n2. Substitute g = a + 7 to p, which gives p = a + 18.\n3. Substitute a = f + 20 to p, which gives p = f + 38.\n4. Substitute f = z + 3 to p, which gives p = z + 41.\n5. Substitute z = t + 16 to p, which gives p = t + 57.\n6. Substitute t = 11 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 9729,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 17; p = s + 5; t = 11; s = g + 6; m = y + 20; h = n + 5; f = z + 3; y = o + 16; g = a + 7; n = j + 19; z = t + 16; a = f + 20; j = m + 10. Given that t = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 16", "r": "m + 8", "v": "r + 14", "f": "v + 15", "s": "f + 7", "l": "s + 10", "j": "w + 20", "n": "j + 12", "y": "n + 14", "g": "y + 3", "z": "g + 6", "d": "z + 14", "w": 13}, "premises": {"w": 13}, "target": "l"}, "answer": {"steps": [["s", "f + 7", "f + 17"], ["f", "v + 15", "v + 32"], ["v", "r + 14", "r + 46"], ["r", "m + 8", "m + 54"], ["m", "w + 16", "w + 70"], ["w", 13, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"w": 13}, "is_reverse": true}} | 9,730 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 14; n = j + 12; y = n + 14; g = y + 3; j = w + 20; d = z + 14; f = v + 15; s = f + 7; r = m + 8; m = w + 16; w = 13; z = g + 6; l = s + 10. If w = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 7 to l, which gives l = f + 17.\n2. Substitute f = v + 15 to l, which gives l = v + 32.\n3. Substitute v = r + 14 to l, which gives l = r + 46.\n4. Substitute r = m + 8 to l, which gives l = m + 54.\n5. Substitute m = w + 16 to l, which gives l = w + 70.\n6. Substitute w = 13 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 9730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 14; n = j + 12; y = n + 14; g = y + 3; j = w + 20; d = z + 14; f = v + 15; s = f + 7; r = m + 8; m = w + 16; w = 13; z = g + 6; l = s + 10. If w = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 20", "x": "s + 12", "o": "x + 12", "z": "o + 6", "d": "z + 13", "n": "d + 2", "p": "b + 6", "l": "p + 11", "y": "l + 5", "a": "y + 4", "q": "a + 12", "i": "q + 18", "b": 16}, "premises": {"b": 16}, "target": "n"}, "answer": {"steps": [["d", "z + 13", "z + 15"], ["z", "o + 6", "o + 21"], ["o", "x + 12", "x + 33"], ["x", "s + 12", "s + 45"], ["s", "b + 20", "b + 65"], ["b", 16, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"b": 16}, "is_reverse": true}} | 9,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 6; i = q + 18; o = x + 12; z = o + 6; b = 16; a = y + 4; y = l + 5; d = z + 13; n = d + 2; s = b + 20; l = p + 11; q = a + 12; x = s + 12. If b = 16, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 13 to n, which gives n = z + 15.\n2. Substitute z = o + 6 to n, which gives n = o + 21.\n3. Substitute o = x + 12 to n, which gives n = x + 33.\n4. Substitute x = s + 12 to n, which gives n = s + 45.\n5. Substitute s = b + 20 to n, which gives n = b + 65.\n6. Substitute b = 16 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 9731,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 6; i = q + 18; o = x + 12; z = o + 6; b = 16; a = y + 4; y = l + 5; d = z + 13; n = d + 2; s = b + 20; l = p + 11; q = a + 12; x = s + 12. If b = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 20", "i": "s + 1", "f": "i + 6", "l": "f + 9", "c": "l + 2", "v": "c + 3", "b": "a + 1", "o": "b + 9", "m": "o + 10", "n": "m + 10", "w": "n + 14", "j": "w + 9", "a": 3}, "premises": {"a": 3}, "target": "v"}, "answer": {"steps": [["c", "l + 2", "l + 5"], ["l", "f + 9", "f + 14"], ["f", "i + 6", "i + 20"], ["i", "s + 1", "s + 21"], ["s", "a + 20", "a + 41"], ["a", 3, "44"]], "target_var_name": "v", "target_value": 44, "value_dict": {"a": 3}, "is_reverse": true}} | 9,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 20; j = w + 9; c = l + 2; m = o + 10; w = n + 14; b = a + 1; i = s + 1; n = m + 10; o = b + 9; f = i + 6; a = 3; l = f + 9; v = c + 3. If a = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 2 to v, which gives v = l + 5.\n2. Substitute l = f + 9 to v, which gives v = f + 14.\n3. Substitute f = i + 6 to v, which gives v = i + 20.\n4. Substitute i = s + 1 to v, which gives v = s + 21.\n5. Substitute s = a + 20 to v, which gives v = a + 41.\n6. Substitute a = 3 to v, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 9732,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 20; j = w + 9; c = l + 2; m = o + 10; w = n + 14; b = a + 1; i = s + 1; n = m + 10; o = b + 9; f = i + 6; a = 3; l = f + 9; v = c + 3. If a = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 15", "h": "q + 14", "p": "h + 11", "w": "p + 12", "e": "w + 2", "r": "e + 1", "o": "u + 3", "g": "o + 19", "i": "g + 5", "y": "i + 19", "l": "y + 1", "s": "l + 11", "u": 11}, "premises": {"u": 11}, "target": "r"}, "answer": {"steps": [["e", "w + 2", "w + 3"], ["w", "p + 12", "p + 15"], ["p", "h + 11", "h + 26"], ["h", "q + 14", "q + 40"], ["q", "u + 15", "u + 55"], ["u", 11, "66"]], "target_var_name": "r", "target_value": 66, "value_dict": {"u": 11}, "is_reverse": true}} | 9,733 | 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 = u + 15; w = p + 12; h = q + 14; i = g + 5; u = 11; e = w + 2; y = i + 19; r = e + 1; o = u + 3; s = l + 11; l = y + 1; g = o + 19; p = h + 11. If u = 11, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 2 to r, which gives r = w + 3.\n2. Substitute w = p + 12 to r, which gives r = p + 15.\n3. Substitute p = h + 11 to r, which gives r = h + 26.\n4. Substitute h = q + 14 to r, which gives r = q + 40.\n5. Substitute q = u + 15 to r, which gives r = u + 55.\n6. Substitute u = 11 to r, which gives r = 66.\n\nThus, the final answer is r = \\boxed{66}.",
"index": 9733,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 15; w = p + 12; h = q + 14; i = g + 5; u = 11; e = w + 2; y = i + 19; r = e + 1; o = u + 3; s = l + 11; l = y + 1; g = o + 19; p = h + 11. If u = 11, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 4", "w": "p + 5", "k": "w + 10", "g": "k + 5", "o": "g + 13", "r": "o + 2", "c": "f + 11", "h": "c + 12", "v": "h + 2", "a": "v + 3", "y": "a + 5", "b": "y + 6", "f": 1}, "premises": {"f": 1}, "target": "r"}, "answer": {"steps": [["o", "g + 13", "g + 15"], ["g", "k + 5", "k + 20"], ["k", "w + 10", "w + 30"], ["w", "p + 5", "p + 35"], ["p", "f + 4", "f + 39"], ["f", 1, "40"]], "target_var_name": "r", "target_value": 40, "value_dict": {"f": 1}, "is_reverse": true}} | 9,734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 5; o = g + 13; k = w + 10; y = a + 5; h = c + 12; v = h + 2; p = f + 4; b = y + 6; f = 1; r = o + 2; w = p + 5; c = f + 11; a = v + 3. Given that f = 1, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 13 to r, which gives r = g + 15.\n2. Substitute g = k + 5 to r, which gives r = k + 20.\n3. Substitute k = w + 10 to r, which gives r = w + 30.\n4. Substitute w = p + 5 to r, which gives r = p + 35.\n5. Substitute p = f + 4 to r, which gives r = f + 39.\n6. Substitute f = 1 to r, which gives r = 40.\n\nThus, the final answer is r = \\boxed{40}.",
"index": 9734,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 5; o = g + 13; k = w + 10; y = a + 5; h = c + 12; v = h + 2; p = f + 4; b = y + 6; f = 1; r = o + 2; w = p + 5; c = f + 11; a = v + 3. Given that f = 1, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 9", "u": "x + 2", "q": "u + 15", "b": "q + 19", "t": "b + 20", "e": "t + 18", "p": "r + 3", "m": "p + 13", "f": "m + 7", "d": "f + 19", "j": "d + 12", "l": "j + 17", "r": 17}, "premises": {"r": 17}, "target": "e"}, "answer": {"steps": [["t", "b + 20", "b + 38"], ["b", "q + 19", "q + 57"], ["q", "u + 15", "u + 72"], ["u", "x + 2", "x + 74"], ["x", "r + 9", "r + 83"], ["r", 17, "100"]], "target_var_name": "e", "target_value": 100, "value_dict": {"r": 17}, "is_reverse": true}} | 9,735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 9; e = t + 18; u = x + 2; m = p + 13; t = b + 20; b = q + 19; f = m + 7; j = d + 12; d = f + 19; p = r + 3; r = 17; q = u + 15; l = j + 17. Given that r = 17, find 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 t = b + 20 to e, which gives e = b + 38.\n2. Substitute b = q + 19 to e, which gives e = q + 57.\n3. Substitute q = u + 15 to e, which gives e = u + 72.\n4. Substitute u = x + 2 to e, which gives e = x + 74.\n5. Substitute x = r + 9 to e, which gives e = r + 83.\n6. Substitute r = 17 to e, which gives e = 100.\n\nThus, the final answer is e = \\boxed{100}.",
"index": 9735,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 9; e = t + 18; u = x + 2; m = p + 13; t = b + 20; b = q + 19; f = m + 7; j = d + 12; d = f + 19; p = r + 3; r = 17; q = u + 15; l = j + 17. Given that r = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 13", "a": "j + 1", "e": "a + 1", "m": "e + 11", "v": "m + 4", "z": "v + 6", "f": "t + 7", "s": "f + 1", "g": "s + 15", "h": "g + 6", "u": "h + 1", "p": "u + 15", "t": 13}, "premises": {"t": 13}, "target": "z"}, "answer": {"steps": [["v", "m + 4", "m + 10"], ["m", "e + 11", "e + 21"], ["e", "a + 1", "a + 22"], ["a", "j + 1", "j + 23"], ["j", "t + 13", "t + 36"], ["t", 13, "49"]], "target_var_name": "z", "target_value": 49, "value_dict": {"t": 13}, "is_reverse": true}} | 9,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 4; m = e + 11; z = v + 6; e = a + 1; s = f + 1; a = j + 1; u = h + 1; g = s + 15; t = 13; j = t + 13; f = t + 7; p = u + 15; h = g + 6. If t = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 4 to z, which gives z = m + 10.\n2. Substitute m = e + 11 to z, which gives z = e + 21.\n3. Substitute e = a + 1 to z, which gives z = a + 22.\n4. Substitute a = j + 1 to z, which gives z = j + 23.\n5. Substitute j = t + 13 to z, which gives z = t + 36.\n6. Substitute t = 13 to z, which gives z = 49.\n\nThus, the final answer is z = \\boxed{49}.",
"index": 9736,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 4; m = e + 11; z = v + 6; e = a + 1; s = f + 1; a = j + 1; u = h + 1; g = s + 15; t = 13; j = t + 13; f = t + 7; p = u + 15; h = g + 6. If t = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 20", "z": "e + 4", "a": "z + 7", "u": "a + 3", "q": "u + 12", "o": "q + 20", "f": "m + 10", "g": "f + 7", "c": "g + 13", "w": "c + 2", "s": "w + 12", "i": "s + 17", "m": 1}, "premises": {"m": 1}, "target": "o"}, "answer": {"steps": [["q", "u + 12", "u + 32"], ["u", "a + 3", "a + 35"], ["a", "z + 7", "z + 42"], ["z", "e + 4", "e + 46"], ["e", "m + 20", "m + 66"], ["m", 1, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"m": 1}, "is_reverse": true}} | 9,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 2; m = 1; a = z + 7; q = u + 12; c = g + 13; z = e + 4; g = f + 7; o = q + 20; e = m + 20; u = a + 3; f = m + 10; i = s + 17; s = w + 12. If m = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 12 to o, which gives o = u + 32.\n2. Substitute u = a + 3 to o, which gives o = a + 35.\n3. Substitute a = z + 7 to o, which gives o = z + 42.\n4. Substitute z = e + 4 to o, which gives o = e + 46.\n5. Substitute e = m + 20 to o, which gives o = m + 66.\n6. Substitute m = 1 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 9737,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 2; m = 1; a = z + 7; q = u + 12; c = g + 13; z = e + 4; g = f + 7; o = q + 20; e = m + 20; u = a + 3; f = m + 10; i = s + 17; s = w + 12. If m = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 6", "w": "e + 12", "r": "w + 17", "a": "r + 1", "t": "a + 8", "q": "t + 15", "p": "v + 6", "n": "p + 14", "y": "n + 6", "h": "y + 2", "z": "h + 10", "j": "z + 11", "v": 10}, "premises": {"v": 10}, "target": "q"}, "answer": {"steps": [["t", "a + 8", "a + 23"], ["a", "r + 1", "r + 24"], ["r", "w + 17", "w + 41"], ["w", "e + 12", "e + 53"], ["e", "v + 6", "v + 59"], ["v", 10, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"v": 10}, "is_reverse": true}} | 9,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = w + 17; q = t + 15; w = e + 12; n = p + 14; v = 10; y = n + 6; h = y + 2; e = v + 6; p = v + 6; t = a + 8; a = r + 1; j = z + 11; z = h + 10. If v = 10, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 8 to q, which gives q = a + 23.\n2. Substitute a = r + 1 to q, which gives q = r + 24.\n3. Substitute r = w + 17 to q, which gives q = w + 41.\n4. Substitute w = e + 12 to q, which gives q = e + 53.\n5. Substitute e = v + 6 to q, which gives q = v + 59.\n6. Substitute v = 10 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 9738,
"question": "Consider a system of variables where each variable is defined as follows: r = w + 17; q = t + 15; w = e + 12; n = p + 14; v = 10; y = n + 6; h = y + 2; e = v + 6; p = v + 6; t = a + 8; a = r + 1; j = z + 11; z = h + 10. If v = 10, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 17", "r": "o + 13", "n": "r + 6", "c": "n + 9", "t": "c + 10", "y": "t + 16", "i": "m + 8", "q": "i + 1", "l": "q + 16", "p": "l + 6", "a": "p + 10", "x": "a + 14", "m": 14}, "premises": {"m": 14}, "target": "y"}, "answer": {"steps": [["t", "c + 10", "c + 26"], ["c", "n + 9", "n + 35"], ["n", "r + 6", "r + 41"], ["r", "o + 13", "o + 54"], ["o", "m + 17", "m + 71"], ["m", 14, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"m": 14}, "is_reverse": true}} | 9,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 6; q = i + 1; m = 14; r = o + 13; c = n + 9; a = p + 10; l = q + 16; p = l + 6; x = a + 14; o = m + 17; i = m + 8; t = c + 10; y = t + 16. If m = 14, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 10 to y, which gives y = c + 26.\n2. Substitute c = n + 9 to y, which gives y = n + 35.\n3. Substitute n = r + 6 to y, which gives y = r + 41.\n4. Substitute r = o + 13 to y, which gives y = o + 54.\n5. Substitute o = m + 17 to y, which gives y = m + 71.\n6. Substitute m = 14 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 9739,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 6; q = i + 1; m = 14; r = o + 13; c = n + 9; a = p + 10; l = q + 16; p = l + 6; x = a + 14; o = m + 17; i = m + 8; t = c + 10; y = t + 16. If m = 14, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 8", "x": "k + 10", "b": "x + 17", "j": "b + 13", "l": "j + 19", "v": "l + 19", "q": "o + 20", "n": "q + 2", "c": "n + 1", "y": "c + 14", "h": "y + 2", "w": "h + 13", "o": 16}, "premises": {"o": 16}, "target": "v"}, "answer": {"steps": [["l", "j + 19", "j + 38"], ["j", "b + 13", "b + 51"], ["b", "x + 17", "x + 68"], ["x", "k + 10", "k + 78"], ["k", "o + 8", "o + 86"], ["o", 16, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"o": 16}, "is_reverse": true}} | 9,740 | 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 = n + 1; k = o + 8; y = c + 14; x = k + 10; l = j + 19; h = y + 2; o = 16; j = b + 13; n = q + 2; b = x + 17; q = o + 20; v = l + 19; w = h + 13. If o = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 19 to v, which gives v = j + 38.\n2. Substitute j = b + 13 to v, which gives v = b + 51.\n3. Substitute b = x + 17 to v, which gives v = x + 68.\n4. Substitute x = k + 10 to v, which gives v = k + 78.\n5. Substitute k = o + 8 to v, which gives v = o + 86.\n6. Substitute o = 16 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 9740,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 1; k = o + 8; y = c + 14; x = k + 10; l = j + 19; h = y + 2; o = 16; j = b + 13; n = q + 2; b = x + 17; q = o + 20; v = l + 19; w = h + 13. If o = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 4", "q": "p + 17", "k": "q + 2", "z": "k + 17", "s": "z + 12", "a": "s + 18", "b": "e + 17", "g": "b + 1", "v": "g + 13", "l": "v + 3", "x": "l + 8", "y": "x + 1", "e": 1}, "premises": {"e": 1}, "target": "a"}, "answer": {"steps": [["s", "z + 12", "z + 30"], ["z", "k + 17", "k + 47"], ["k", "q + 2", "q + 49"], ["q", "p + 17", "p + 66"], ["p", "e + 4", "e + 70"], ["e", 1, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"e": 1}, "is_reverse": true}} | 9,741 | 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 = p + 17; x = l + 8; y = x + 1; a = s + 18; z = k + 17; g = b + 1; p = e + 4; b = e + 17; v = g + 13; k = q + 2; l = v + 3; e = 1; s = z + 12. If e = 1, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 12 to a, which gives a = z + 30.\n2. Substitute z = k + 17 to a, which gives a = k + 47.\n3. Substitute k = q + 2 to a, which gives a = q + 49.\n4. Substitute q = p + 17 to a, which gives a = p + 66.\n5. Substitute p = e + 4 to a, which gives a = e + 70.\n6. Substitute e = 1 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 9741,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 17; x = l + 8; y = x + 1; a = s + 18; z = k + 17; g = b + 1; p = e + 4; b = e + 17; v = g + 13; k = q + 2; l = v + 3; e = 1; s = z + 12. If e = 1, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 2", "i": "y + 14", "r": "i + 19", "m": "r + 18", "b": "m + 14", "l": "b + 19", "j": "f + 17", "s": "j + 12", "q": "s + 15", "u": "q + 20", "t": "u + 9", "o": "t + 20", "f": 12}, "premises": {"f": 12}, "target": "l"}, "answer": {"steps": [["b", "m + 14", "m + 33"], ["m", "r + 18", "r + 51"], ["r", "i + 19", "i + 70"], ["i", "y + 14", "y + 84"], ["y", "f + 2", "f + 86"], ["f", 12, "98"]], "target_var_name": "l", "target_value": 98, "value_dict": {"f": 12}, "is_reverse": true}} | 9,742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = q + 20; o = t + 20; q = s + 15; f = 12; s = j + 12; y = f + 2; b = m + 14; m = r + 18; i = y + 14; r = i + 19; j = f + 17; l = b + 19; t = u + 9. Given that f = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 14 to l, which gives l = m + 33.\n2. Substitute m = r + 18 to l, which gives l = r + 51.\n3. Substitute r = i + 19 to l, which gives l = i + 70.\n4. Substitute i = y + 14 to l, which gives l = y + 84.\n5. Substitute y = f + 2 to l, which gives l = f + 86.\n6. Substitute f = 12 to l, which gives l = 98.\n\nThus, the final answer is l = \\boxed{98}.",
"index": 9742,
"question": "Suppose a collection of variables is related by the following definitions: u = q + 20; o = t + 20; q = s + 15; f = 12; s = j + 12; y = f + 2; b = m + 14; m = r + 18; i = y + 14; r = i + 19; j = f + 17; l = b + 19; t = u + 9. Given that f = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 17", "t": "q + 14", "r": "t + 11", "f": "r + 11", "g": "f + 12", "u": "g + 5", "h": "d + 1", "v": "h + 20", "z": "v + 16", "a": "z + 18", "y": "a + 10", "b": "y + 6", "d": 16}, "premises": {"d": 16}, "target": "u"}, "answer": {"steps": [["g", "f + 12", "f + 17"], ["f", "r + 11", "r + 28"], ["r", "t + 11", "t + 39"], ["t", "q + 14", "q + 53"], ["q", "d + 17", "d + 70"], ["d", 16, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"d": 16}, "is_reverse": true}} | 9,743 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 6; g = f + 12; y = a + 10; u = g + 5; d = 16; v = h + 20; t = q + 14; h = d + 1; z = v + 16; r = t + 11; a = z + 18; q = d + 17; f = r + 11. If d = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 12 to u, which gives u = f + 17.\n2. Substitute f = r + 11 to u, which gives u = r + 28.\n3. Substitute r = t + 11 to u, which gives u = t + 39.\n4. Substitute t = q + 14 to u, which gives u = q + 53.\n5. Substitute q = d + 17 to u, which gives u = d + 70.\n6. Substitute d = 16 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 9743,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 6; g = f + 12; y = a + 10; u = g + 5; d = 16; v = h + 20; t = q + 14; h = d + 1; z = v + 16; r = t + 11; a = z + 18; q = d + 17; f = r + 11. If d = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 4", "z": "n + 9", "o": "z + 13", "u": "o + 14", "e": "u + 16", "x": "e + 8", "s": "h + 5", "r": "s + 5", "w": "r + 2", "v": "w + 7", "g": "v + 20", "d": "g + 13", "h": 3}, "premises": {"h": 3}, "target": "x"}, "answer": {"steps": [["e", "u + 16", "u + 24"], ["u", "o + 14", "o + 38"], ["o", "z + 13", "z + 51"], ["z", "n + 9", "n + 60"], ["n", "h + 4", "h + 64"], ["h", 3, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"h": 3}, "is_reverse": true}} | 9,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 20; r = s + 5; e = u + 16; x = e + 8; z = n + 9; v = w + 7; s = h + 5; n = h + 4; d = g + 13; o = z + 13; h = 3; w = r + 2; u = o + 14. Given that h = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 16 to x, which gives x = u + 24.\n2. Substitute u = o + 14 to x, which gives x = o + 38.\n3. Substitute o = z + 13 to x, which gives x = z + 51.\n4. Substitute z = n + 9 to x, which gives x = n + 60.\n5. Substitute n = h + 4 to x, which gives x = h + 64.\n6. Substitute h = 3 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 9744,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 20; r = s + 5; e = u + 16; x = e + 8; z = n + 9; v = w + 7; s = h + 5; n = h + 4; d = g + 13; o = z + 13; h = 3; w = r + 2; u = o + 14. Given that h = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 15", "m": "o + 16", "r": "m + 10", "x": "r + 16", "v": "x + 10", "d": "v + 16", "t": "g + 18", "w": "t + 19", "c": "w + 20", "j": "c + 12", "a": "j + 15", "f": "a + 9", "g": 20}, "premises": {"g": 20}, "target": "d"}, "answer": {"steps": [["v", "x + 10", "x + 26"], ["x", "r + 16", "r + 42"], ["r", "m + 10", "m + 52"], ["m", "o + 16", "o + 68"], ["o", "g + 15", "g + 83"], ["g", 20, "103"]], "target_var_name": "d", "target_value": 103, "value_dict": {"g": 20}, "is_reverse": true}} | 9,745 | 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 = r + 16; t = g + 18; g = 20; c = w + 20; v = x + 10; m = o + 16; o = g + 15; d = v + 16; r = m + 10; j = c + 12; a = j + 15; w = t + 19; f = a + 9. If g = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 10 to d, which gives d = x + 26.\n2. Substitute x = r + 16 to d, which gives d = r + 42.\n3. Substitute r = m + 10 to d, which gives d = m + 52.\n4. Substitute m = o + 16 to d, which gives d = o + 68.\n5. Substitute o = g + 15 to d, which gives d = g + 83.\n6. Substitute g = 20 to d, which gives d = 103.\n\nThus, the final answer is d = \\boxed{103}.",
"index": 9745,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 16; t = g + 18; g = 20; c = w + 20; v = x + 10; m = o + 16; o = g + 15; d = v + 16; r = m + 10; j = c + 12; a = j + 15; w = t + 19; f = a + 9. If g = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 5", "d": "l + 13", "y": "d + 7", "i": "y + 8", "e": "i + 3", "k": "e + 19", "f": "g + 3", "t": "f + 10", "b": "t + 18", "a": "b + 11", "c": "a + 20", "p": "c + 9", "g": 20}, "premises": {"g": 20}, "target": "k"}, "answer": {"steps": [["e", "i + 3", "i + 22"], ["i", "y + 8", "y + 30"], ["y", "d + 7", "d + 37"], ["d", "l + 13", "l + 50"], ["l", "g + 5", "g + 55"], ["g", 20, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"g": 20}, "is_reverse": true}} | 9,746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 9; a = b + 11; e = i + 3; b = t + 18; g = 20; c = a + 20; f = g + 3; l = g + 5; y = d + 7; k = e + 19; t = f + 10; i = y + 8; d = l + 13. If g = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 3 to k, which gives k = i + 22.\n2. Substitute i = y + 8 to k, which gives k = y + 30.\n3. Substitute y = d + 7 to k, which gives k = d + 37.\n4. Substitute d = l + 13 to k, which gives k = l + 50.\n5. Substitute l = g + 5 to k, which gives k = g + 55.\n6. Substitute g = 20 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 9746,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 9; a = b + 11; e = i + 3; b = t + 18; g = 20; c = a + 20; f = g + 3; l = g + 5; y = d + 7; k = e + 19; t = f + 10; i = y + 8; d = l + 13. If g = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 7", "g": "w + 7", "y": "g + 3", "m": "y + 17", "b": "m + 5", "a": "b + 8", "e": "o + 14", "u": "e + 8", "s": "u + 5", "t": "s + 10", "z": "t + 17", "h": "z + 10", "o": 4}, "premises": {"o": 4}, "target": "a"}, "answer": {"steps": [["b", "m + 5", "m + 13"], ["m", "y + 17", "y + 30"], ["y", "g + 3", "g + 33"], ["g", "w + 7", "w + 40"], ["w", "o + 7", "o + 47"], ["o", 4, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"o": 4}, "is_reverse": true}} | 9,747 | 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 = y + 17; z = t + 17; y = g + 3; e = o + 14; o = 4; t = s + 10; s = u + 5; h = z + 10; b = m + 5; w = o + 7; a = b + 8; u = e + 8; g = w + 7. If o = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 5 to a, which gives a = m + 13.\n2. Substitute m = y + 17 to a, which gives a = y + 30.\n3. Substitute y = g + 3 to a, which gives a = g + 33.\n4. Substitute g = w + 7 to a, which gives a = w + 40.\n5. Substitute w = o + 7 to a, which gives a = o + 47.\n6. Substitute o = 4 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 9747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 17; z = t + 17; y = g + 3; e = o + 14; o = 4; t = s + 10; s = u + 5; h = z + 10; b = m + 5; w = o + 7; a = b + 8; u = e + 8; g = w + 7. If o = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 20", "z": "t + 8", "s": "z + 7", "c": "s + 14", "l": "c + 3", "k": "l + 1", "o": "h + 2", "d": "o + 7", "j": "d + 13", "p": "j + 4", "r": "p + 13", "g": "r + 17", "h": 18}, "premises": {"h": 18}, "target": "k"}, "answer": {"steps": [["l", "c + 3", "c + 4"], ["c", "s + 14", "s + 18"], ["s", "z + 7", "z + 25"], ["z", "t + 8", "t + 33"], ["t", "h + 20", "h + 53"], ["h", 18, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"h": 18}, "is_reverse": true}} | 9,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 20; p = j + 4; k = l + 1; h = 18; z = t + 8; r = p + 13; o = h + 2; j = d + 13; s = z + 7; d = o + 7; c = s + 14; g = r + 17; l = c + 3. Given that h = 18, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 3 to k, which gives k = c + 4.\n2. Substitute c = s + 14 to k, which gives k = s + 18.\n3. Substitute s = z + 7 to k, which gives k = z + 25.\n4. Substitute z = t + 8 to k, which gives k = t + 33.\n5. Substitute t = h + 20 to k, which gives k = h + 53.\n6. Substitute h = 18 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 9748,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 20; p = j + 4; k = l + 1; h = 18; z = t + 8; r = p + 13; o = h + 2; j = d + 13; s = z + 7; d = o + 7; c = s + 14; g = r + 17; l = c + 3. Given that h = 18, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 14", "z": "q + 7", "d": "z + 12", "j": "d + 9", "m": "j + 7", "p": "m + 1", "f": "h + 12", "v": "f + 2", "o": "v + 19", "n": "o + 1", "t": "n + 17", "e": "t + 12", "h": 18}, "premises": {"h": 18}, "target": "p"}, "answer": {"steps": [["m", "j + 7", "j + 8"], ["j", "d + 9", "d + 17"], ["d", "z + 12", "z + 29"], ["z", "q + 7", "q + 36"], ["q", "h + 14", "h + 50"], ["h", 18, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"h": 18}, "is_reverse": true}} | 9,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = v + 19; h = 18; m = j + 7; t = n + 17; d = z + 12; q = h + 14; j = d + 9; v = f + 2; p = m + 1; e = t + 12; z = q + 7; f = h + 12; n = o + 1. If h = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 7 to p, which gives p = j + 8.\n2. Substitute j = d + 9 to p, which gives p = d + 17.\n3. Substitute d = z + 12 to p, which gives p = z + 29.\n4. Substitute z = q + 7 to p, which gives p = q + 36.\n5. Substitute q = h + 14 to p, which gives p = h + 50.\n6. Substitute h = 18 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 9749,
"question": "Consider a system of variables where each variable is defined as follows: o = v + 19; h = 18; m = j + 7; t = n + 17; d = z + 12; q = h + 14; j = d + 9; v = f + 2; p = m + 1; e = t + 12; z = q + 7; f = h + 12; n = o + 1. If h = 18, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 7", "q": "y + 4", "m": "q + 19", "z": "m + 9", "h": "z + 2", "x": "h + 13", "b": "u + 7", "p": "b + 6", "t": "p + 18", "j": "t + 10", "g": "j + 20", "r": "g + 18", "u": 5}, "premises": {"u": 5}, "target": "x"}, "answer": {"steps": [["h", "z + 2", "z + 15"], ["z", "m + 9", "m + 24"], ["m", "q + 19", "q + 43"], ["q", "y + 4", "y + 47"], ["y", "u + 7", "u + 54"], ["u", 5, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"u": 5}, "is_reverse": true}} | 9,750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 20; y = u + 7; b = u + 7; x = h + 13; r = g + 18; j = t + 10; h = z + 2; m = q + 19; t = p + 18; p = b + 6; q = y + 4; u = 5; z = m + 9. Given that u = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 2 to x, which gives x = z + 15.\n2. Substitute z = m + 9 to x, which gives x = m + 24.\n3. Substitute m = q + 19 to x, which gives x = q + 43.\n4. Substitute q = y + 4 to x, which gives x = y + 47.\n5. Substitute y = u + 7 to x, which gives x = u + 54.\n6. Substitute u = 5 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 9750,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 20; y = u + 7; b = u + 7; x = h + 13; r = g + 18; j = t + 10; h = z + 2; m = q + 19; t = p + 18; p = b + 6; q = y + 4; u = 5; z = m + 9. Given that u = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 14", "q": "j + 4", "t": "q + 10", "i": "t + 10", "l": "i + 20", "v": "l + 5", "w": "n + 14", "p": "w + 10", "z": "p + 14", "a": "z + 2", "u": "a + 8", "o": "u + 1", "n": 17}, "premises": {"n": 17}, "target": "v"}, "answer": {"steps": [["l", "i + 20", "i + 25"], ["i", "t + 10", "t + 35"], ["t", "q + 10", "q + 45"], ["q", "j + 4", "j + 49"], ["j", "n + 14", "n + 63"], ["n", 17, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"n": 17}, "is_reverse": true}} | 9,751 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 10; a = z + 2; v = l + 5; i = t + 10; n = 17; p = w + 10; j = n + 14; w = n + 14; u = a + 8; o = u + 1; l = i + 20; z = p + 14; q = j + 4. Given that n = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 20 to v, which gives v = i + 25.\n2. Substitute i = t + 10 to v, which gives v = t + 35.\n3. Substitute t = q + 10 to v, which gives v = q + 45.\n4. Substitute q = j + 4 to v, which gives v = j + 49.\n5. Substitute j = n + 14 to v, which gives v = n + 63.\n6. Substitute n = 17 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 9751,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 10; a = z + 2; v = l + 5; i = t + 10; n = 17; p = w + 10; j = n + 14; w = n + 14; u = a + 8; o = u + 1; l = i + 20; z = p + 14; q = j + 4. Given that n = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 18", "h": "k + 13", "n": "h + 10", "m": "n + 9", "c": "m + 3", "y": "c + 10", "u": "e + 14", "r": "u + 12", "f": "r + 15", "b": "f + 5", "t": "b + 16", "x": "t + 9", "e": 10}, "premises": {"e": 10}, "target": "y"}, "answer": {"steps": [["c", "m + 3", "m + 13"], ["m", "n + 9", "n + 22"], ["n", "h + 10", "h + 32"], ["h", "k + 13", "k + 45"], ["k", "e + 18", "e + 63"], ["e", 10, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"e": 10}, "is_reverse": true}} | 9,752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 10; h = k + 13; r = u + 12; c = m + 3; x = t + 9; m = n + 9; k = e + 18; e = 10; b = f + 5; t = b + 16; n = h + 10; u = e + 14; f = r + 15. If e = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 3 to y, which gives y = m + 13.\n2. Substitute m = n + 9 to y, which gives y = n + 22.\n3. Substitute n = h + 10 to y, which gives y = h + 32.\n4. Substitute h = k + 13 to y, which gives y = k + 45.\n5. Substitute k = e + 18 to y, which gives y = e + 63.\n6. Substitute e = 10 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 9752,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 10; h = k + 13; r = u + 12; c = m + 3; x = t + 9; m = n + 9; k = e + 18; e = 10; b = f + 5; t = b + 16; n = h + 10; u = e + 14; f = r + 15. If e = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 20", "c": "q + 6", "a": "c + 8", "d": "a + 7", "e": "d + 14", "f": "e + 11", "k": "j + 6", "n": "k + 11", "o": "n + 16", "m": "o + 2", "x": "m + 9", "z": "x + 1", "j": 7}, "premises": {"j": 7}, "target": "f"}, "answer": {"steps": [["e", "d + 14", "d + 25"], ["d", "a + 7", "a + 32"], ["a", "c + 8", "c + 40"], ["c", "q + 6", "q + 46"], ["q", "j + 20", "j + 66"], ["j", 7, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"j": 7}, "is_reverse": true}} | 9,753 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 7; a = c + 8; q = j + 20; k = j + 6; d = a + 7; z = x + 1; o = n + 16; c = q + 6; e = d + 14; f = e + 11; m = o + 2; x = m + 9; n = k + 11. Given that j = 7, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 14 to f, which gives f = d + 25.\n2. Substitute d = a + 7 to f, which gives f = a + 32.\n3. Substitute a = c + 8 to f, which gives f = c + 40.\n4. Substitute c = q + 6 to f, which gives f = q + 46.\n5. Substitute q = j + 20 to f, which gives f = j + 66.\n6. Substitute j = 7 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 9753,
"question": "Suppose a collection of variables is related by the following definitions: j = 7; a = c + 8; q = j + 20; k = j + 6; d = a + 7; z = x + 1; o = n + 16; c = q + 6; e = d + 14; f = e + 11; m = o + 2; x = m + 9; n = k + 11. Given that j = 7, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 16", "t": "r + 20", "b": "t + 3", "q": "b + 15", "w": "q + 20", "u": "w + 7", "a": "x + 6", "s": "a + 15", "c": "s + 3", "v": "c + 12", "e": "v + 14", "j": "e + 9", "x": 7}, "premises": {"x": 7}, "target": "u"}, "answer": {"steps": [["w", "q + 20", "q + 27"], ["q", "b + 15", "b + 42"], ["b", "t + 3", "t + 45"], ["t", "r + 20", "r + 65"], ["r", "x + 16", "x + 81"], ["x", 7, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"x": 7}, "is_reverse": true}} | 9,754 | 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 = w + 7; t = r + 20; r = x + 16; s = a + 15; a = x + 6; w = q + 20; b = t + 3; e = v + 14; q = b + 15; j = e + 9; x = 7; c = s + 3; v = c + 12. If x = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 20 to u, which gives u = q + 27.\n2. Substitute q = b + 15 to u, which gives u = b + 42.\n3. Substitute b = t + 3 to u, which gives u = t + 45.\n4. Substitute t = r + 20 to u, which gives u = r + 65.\n5. Substitute r = x + 16 to u, which gives u = x + 81.\n6. Substitute x = 7 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 9754,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = w + 7; t = r + 20; r = x + 16; s = a + 15; a = x + 6; w = q + 20; b = t + 3; e = v + 14; q = b + 15; j = e + 9; x = 7; c = s + 3; v = c + 12. If x = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 1", "e": "h + 4", "x": "e + 12", "f": "x + 17", "j": "f + 4", "a": "j + 2", "c": "r + 2", "z": "c + 12", "b": "z + 19", "g": "b + 12", "i": "g + 14", "y": "i + 19", "r": 11}, "premises": {"r": 11}, "target": "a"}, "answer": {"steps": [["j", "f + 4", "f + 6"], ["f", "x + 17", "x + 23"], ["x", "e + 12", "e + 35"], ["e", "h + 4", "h + 39"], ["h", "r + 1", "r + 40"], ["r", 11, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"r": 11}, "is_reverse": true}} | 9,755 | 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 = i + 19; i = g + 14; x = e + 12; a = j + 2; f = x + 17; b = z + 19; r = 11; g = b + 12; e = h + 4; h = r + 1; z = c + 12; c = r + 2; j = f + 4. If r = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 4 to a, which gives a = f + 6.\n2. Substitute f = x + 17 to a, which gives a = x + 23.\n3. Substitute x = e + 12 to a, which gives a = e + 35.\n4. Substitute e = h + 4 to a, which gives a = h + 39.\n5. Substitute h = r + 1 to a, which gives a = r + 40.\n6. Substitute r = 11 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 9755,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = i + 19; i = g + 14; x = e + 12; a = j + 2; f = x + 17; b = z + 19; r = 11; g = b + 12; e = h + 4; h = r + 1; z = c + 12; c = r + 2; j = f + 4. If r = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 10", "o": "k + 13", "r": "o + 14", "b": "r + 17", "n": "b + 17", "e": "n + 20", "g": "x + 13", "u": "g + 5", "w": "u + 7", "s": "w + 20", "f": "s + 3", "t": "f + 1", "x": 18}, "premises": {"x": 18}, "target": "e"}, "answer": {"steps": [["n", "b + 17", "b + 37"], ["b", "r + 17", "r + 54"], ["r", "o + 14", "o + 68"], ["o", "k + 13", "k + 81"], ["k", "x + 10", "x + 91"], ["x", 18, "109"]], "target_var_name": "e", "target_value": 109, "value_dict": {"x": 18}, "is_reverse": true}} | 9,756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 14; k = x + 10; x = 18; t = f + 1; u = g + 5; f = s + 3; s = w + 20; o = k + 13; n = b + 17; w = u + 7; b = r + 17; g = x + 13; e = n + 20. If x = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 17 to e, which gives e = b + 37.\n2. Substitute b = r + 17 to e, which gives e = r + 54.\n3. Substitute r = o + 14 to e, which gives e = o + 68.\n4. Substitute o = k + 13 to e, which gives e = k + 81.\n5. Substitute k = x + 10 to e, which gives e = x + 91.\n6. Substitute x = 18 to e, which gives e = 109.\n\nThus, the final answer is e = \\boxed{109}.",
"index": 9756,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 14; k = x + 10; x = 18; t = f + 1; u = g + 5; f = s + 3; s = w + 20; o = k + 13; n = b + 17; w = u + 7; b = r + 17; g = x + 13; e = n + 20. If x = 18, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 20", "t": "g + 2", "a": "t + 5", "b": "a + 14", "e": "b + 5", "h": "e + 18", "c": "o + 10", "r": "c + 14", "n": "r + 2", "x": "n + 15", "y": "x + 11", "m": "y + 12", "o": 11}, "premises": {"o": 11}, "target": "h"}, "answer": {"steps": [["e", "b + 5", "b + 23"], ["b", "a + 14", "a + 37"], ["a", "t + 5", "t + 42"], ["t", "g + 2", "g + 44"], ["g", "o + 20", "o + 64"], ["o", 11, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"o": 11}, "is_reverse": true}} | 9,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 18; m = y + 12; g = o + 20; t = g + 2; e = b + 5; x = n + 15; b = a + 14; a = t + 5; c = o + 10; o = 11; r = c + 14; y = x + 11; n = r + 2. Given that o = 11, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 5 to h, which gives h = b + 23.\n2. Substitute b = a + 14 to h, which gives h = a + 37.\n3. Substitute a = t + 5 to h, which gives h = t + 42.\n4. Substitute t = g + 2 to h, which gives h = g + 44.\n5. Substitute g = o + 20 to h, which gives h = o + 64.\n6. Substitute o = 11 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 9757,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 18; m = y + 12; g = o + 20; t = g + 2; e = b + 5; x = n + 15; b = a + 14; a = t + 5; c = o + 10; o = 11; r = c + 14; y = x + 11; n = r + 2. Given that o = 11, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 1", "d": "r + 11", "g": "d + 7", "w": "g + 3", "k": "w + 1", "c": "k + 12", "i": "m + 3", "h": "i + 10", "b": "h + 6", "a": "b + 2", "e": "a + 20", "n": "e + 7", "m": 20}, "premises": {"m": 20}, "target": "c"}, "answer": {"steps": [["k", "w + 1", "w + 13"], ["w", "g + 3", "g + 16"], ["g", "d + 7", "d + 23"], ["d", "r + 11", "r + 34"], ["r", "m + 1", "m + 35"], ["m", 20, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"m": 20}, "is_reverse": true}} | 9,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 1; r = m + 1; h = i + 10; b = h + 6; a = b + 2; w = g + 3; g = d + 7; i = m + 3; e = a + 20; n = e + 7; d = r + 11; c = k + 12; m = 20. Given that m = 20, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 1 to c, which gives c = w + 13.\n2. Substitute w = g + 3 to c, which gives c = g + 16.\n3. Substitute g = d + 7 to c, which gives c = d + 23.\n4. Substitute d = r + 11 to c, which gives c = r + 34.\n5. Substitute r = m + 1 to c, which gives c = m + 35.\n6. Substitute m = 20 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 9758,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 1; r = m + 1; h = i + 10; b = h + 6; a = b + 2; w = g + 3; g = d + 7; i = m + 3; e = a + 20; n = e + 7; d = r + 11; c = k + 12; m = 20. Given that m = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 1", "k": "s + 13", "e": "k + 15", "i": "e + 16", "p": "i + 16", "x": "p + 12", "g": "r + 18", "w": "g + 19", "q": "w + 16", "o": "q + 14", "v": "o + 20", "b": "v + 11", "r": 3}, "premises": {"r": 3}, "target": "x"}, "answer": {"steps": [["p", "i + 16", "i + 28"], ["i", "e + 16", "e + 44"], ["e", "k + 15", "k + 59"], ["k", "s + 13", "s + 72"], ["s", "r + 1", "r + 73"], ["r", 3, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"r": 3}, "is_reverse": true}} | 9,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 16; b = v + 11; i = e + 16; g = r + 18; o = q + 14; w = g + 19; p = i + 16; v = o + 20; e = k + 15; s = r + 1; x = p + 12; k = s + 13; r = 3. Given that r = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 16 to x, which gives x = i + 28.\n2. Substitute i = e + 16 to x, which gives x = e + 44.\n3. Substitute e = k + 15 to x, which gives x = k + 59.\n4. Substitute k = s + 13 to x, which gives x = s + 72.\n5. Substitute s = r + 1 to x, which gives x = r + 73.\n6. Substitute r = 3 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 9759,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 16; b = v + 11; i = e + 16; g = r + 18; o = q + 14; w = g + 19; p = i + 16; v = o + 20; e = k + 15; s = r + 1; x = p + 12; k = s + 13; r = 3. Given that r = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 14", "x": "v + 15", "f": "x + 19", "m": "f + 19", "q": "m + 19", "i": "q + 16", "y": "n + 20", "z": "y + 13", "k": "z + 1", "h": "k + 15", "l": "h + 13", "p": "l + 14", "n": 5}, "premises": {"n": 5}, "target": "i"}, "answer": {"steps": [["q", "m + 19", "m + 35"], ["m", "f + 19", "f + 54"], ["f", "x + 19", "x + 73"], ["x", "v + 15", "v + 88"], ["v", "n + 14", "n + 102"], ["n", 5, "107"]], "target_var_name": "i", "target_value": 107, "value_dict": {"n": 5}, "is_reverse": true}} | 9,760 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 19; k = z + 1; z = y + 13; y = n + 20; p = l + 14; h = k + 15; m = f + 19; x = v + 15; q = m + 19; l = h + 13; v = n + 14; n = 5; i = q + 16. If n = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 19 to i, which gives i = m + 35.\n2. Substitute m = f + 19 to i, which gives i = f + 54.\n3. Substitute f = x + 19 to i, which gives i = x + 73.\n4. Substitute x = v + 15 to i, which gives i = v + 88.\n5. Substitute v = n + 14 to i, which gives i = n + 102.\n6. Substitute n = 5 to i, which gives i = 107.\n\nThus, the final answer is i = \\boxed{107}.",
"index": 9760,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 19; k = z + 1; z = y + 13; y = n + 20; p = l + 14; h = k + 15; m = f + 19; x = v + 15; q = m + 19; l = h + 13; v = n + 14; n = 5; i = q + 16. If n = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 6", "l": "i + 3", "b": "l + 11", "g": "b + 19", "k": "g + 12", "c": "k + 6", "d": "h + 9", "u": "d + 18", "n": "u + 4", "a": "n + 15", "x": "a + 6", "j": "x + 3", "h": 16}, "premises": {"h": 16}, "target": "c"}, "answer": {"steps": [["k", "g + 12", "g + 18"], ["g", "b + 19", "b + 37"], ["b", "l + 11", "l + 48"], ["l", "i + 3", "i + 51"], ["i", "h + 6", "h + 57"], ["h", 16, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"h": 16}, "is_reverse": true}} | 9,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 6; l = i + 3; d = h + 9; n = u + 4; c = k + 6; g = b + 19; x = a + 6; j = x + 3; a = n + 15; k = g + 12; u = d + 18; h = 16; b = l + 11. Given that h = 16, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 12 to c, which gives c = g + 18.\n2. Substitute g = b + 19 to c, which gives c = b + 37.\n3. Substitute b = l + 11 to c, which gives c = l + 48.\n4. Substitute l = i + 3 to c, which gives c = i + 51.\n5. Substitute i = h + 6 to c, which gives c = h + 57.\n6. Substitute h = 16 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 9761,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 6; l = i + 3; d = h + 9; n = u + 4; c = k + 6; g = b + 19; x = a + 6; j = x + 3; a = n + 15; k = g + 12; u = d + 18; h = 16; b = l + 11. Given that h = 16, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 15", "g": "r + 18", "d": "g + 10", "k": "d + 19", "u": "k + 13", "q": "u + 1", "m": "w + 17", "l": "m + 2", "o": "l + 6", "j": "o + 4", "h": "j + 17", "t": "h + 8", "w": 19}, "premises": {"w": 19}, "target": "q"}, "answer": {"steps": [["u", "k + 13", "k + 14"], ["k", "d + 19", "d + 33"], ["d", "g + 10", "g + 43"], ["g", "r + 18", "r + 61"], ["r", "w + 15", "w + 76"], ["w", 19, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"w": 19}, "is_reverse": true}} | 9,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 10; o = l + 6; l = m + 2; w = 19; r = w + 15; q = u + 1; g = r + 18; j = o + 4; h = j + 17; k = d + 19; u = k + 13; t = h + 8; m = w + 17. If w = 19, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 13 to q, which gives q = k + 14.\n2. Substitute k = d + 19 to q, which gives q = d + 33.\n3. Substitute d = g + 10 to q, which gives q = g + 43.\n4. Substitute g = r + 18 to q, which gives q = r + 61.\n5. Substitute r = w + 15 to q, which gives q = w + 76.\n6. Substitute w = 19 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 9762,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 10; o = l + 6; l = m + 2; w = 19; r = w + 15; q = u + 1; g = r + 18; j = o + 4; h = j + 17; k = d + 19; u = k + 13; t = h + 8; m = w + 17. If w = 19, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 9", "f": "h + 17", "m": "f + 4", "c": "m + 2", "z": "c + 6", "t": "z + 9", "o": "x + 2", "p": "o + 15", "y": "p + 8", "k": "y + 5", "q": "k + 4", "g": "q + 2", "x": 16}, "premises": {"x": 16}, "target": "t"}, "answer": {"steps": [["z", "c + 6", "c + 15"], ["c", "m + 2", "m + 17"], ["m", "f + 4", "f + 21"], ["f", "h + 17", "h + 38"], ["h", "x + 9", "x + 47"], ["x", 16, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"x": 16}, "is_reverse": true}} | 9,763 | 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 = z + 9; p = o + 15; y = p + 8; x = 16; z = c + 6; h = x + 9; o = x + 2; m = f + 4; q = k + 4; c = m + 2; f = h + 17; k = y + 5; g = q + 2. If x = 16, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 6 to t, which gives t = c + 15.\n2. Substitute c = m + 2 to t, which gives t = m + 17.\n3. Substitute m = f + 4 to t, which gives t = f + 21.\n4. Substitute f = h + 17 to t, which gives t = h + 38.\n5. Substitute h = x + 9 to t, which gives t = x + 47.\n6. Substitute x = 16 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 9763,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 9; p = o + 15; y = p + 8; x = 16; z = c + 6; h = x + 9; o = x + 2; m = f + 4; q = k + 4; c = m + 2; f = h + 17; k = y + 5; g = q + 2. If x = 16, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 20", "y": "f + 2", "h": "y + 12", "p": "h + 6", "q": "p + 1", "b": "q + 16", "j": "e + 20", "v": "j + 5", "x": "v + 15", "i": "x + 13", "k": "i + 1", "r": "k + 4", "e": 14}, "premises": {"e": 14}, "target": "b"}, "answer": {"steps": [["q", "p + 1", "p + 17"], ["p", "h + 6", "h + 23"], ["h", "y + 12", "y + 35"], ["y", "f + 2", "f + 37"], ["f", "e + 20", "e + 57"], ["e", 14, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"e": 14}, "is_reverse": true}} | 9,764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 16; i = x + 13; r = k + 4; k = i + 1; f = e + 20; p = h + 6; e = 14; j = e + 20; y = f + 2; v = j + 5; x = v + 15; q = p + 1; h = y + 12. If e = 14, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 1 to b, which gives b = p + 17.\n2. Substitute p = h + 6 to b, which gives b = h + 23.\n3. Substitute h = y + 12 to b, which gives b = y + 35.\n4. Substitute y = f + 2 to b, which gives b = f + 37.\n5. Substitute f = e + 20 to b, which gives b = e + 57.\n6. Substitute e = 14 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 9764,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 16; i = x + 13; r = k + 4; k = i + 1; f = e + 20; p = h + 6; e = 14; j = e + 20; y = f + 2; v = j + 5; x = v + 15; q = p + 1; h = y + 12. If e = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 11", "c": "j + 15", "x": "c + 14", "w": "x + 13", "a": "w + 15", "n": "a + 19", "u": "s + 11", "e": "u + 7", "d": "e + 20", "f": "d + 8", "r": "f + 1", "y": "r + 11", "s": 12}, "premises": {"s": 12}, "target": "n"}, "answer": {"steps": [["a", "w + 15", "w + 34"], ["w", "x + 13", "x + 47"], ["x", "c + 14", "c + 61"], ["c", "j + 15", "j + 76"], ["j", "s + 11", "s + 87"], ["s", 12, "99"]], "target_var_name": "n", "target_value": 99, "value_dict": {"s": 12}, "is_reverse": true}} | 9,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 13; d = e + 20; n = a + 19; f = d + 8; r = f + 1; y = r + 11; x = c + 14; s = 12; u = s + 11; a = w + 15; e = u + 7; j = s + 11; c = j + 15. If s = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 15 to n, which gives n = w + 34.\n2. Substitute w = x + 13 to n, which gives n = x + 47.\n3. Substitute x = c + 14 to n, which gives n = c + 61.\n4. Substitute c = j + 15 to n, which gives n = j + 76.\n5. Substitute j = s + 11 to n, which gives n = s + 87.\n6. Substitute s = 12 to n, which gives n = 99.\n\nThus, the final answer is n = \\boxed{99}.",
"index": 9765,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 13; d = e + 20; n = a + 19; f = d + 8; r = f + 1; y = r + 11; x = c + 14; s = 12; u = s + 11; a = w + 15; e = u + 7; j = s + 11; c = j + 15. If s = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 14", "a": "s + 6", "g": "a + 9", "d": "g + 6", "q": "d + 6", "m": "q + 11", "i": "w + 12", "z": "i + 13", "e": "z + 16", "x": "e + 10", "b": "x + 6", "r": "b + 2", "w": 6}, "premises": {"w": 6}, "target": "m"}, "answer": {"steps": [["q", "d + 6", "d + 17"], ["d", "g + 6", "g + 23"], ["g", "a + 9", "a + 32"], ["a", "s + 6", "s + 38"], ["s", "w + 14", "w + 52"], ["w", 6, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"w": 6}, "is_reverse": true}} | 9,766 | 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 = i + 13; b = x + 6; m = q + 11; e = z + 16; w = 6; x = e + 10; g = a + 9; a = s + 6; r = b + 2; d = g + 6; i = w + 12; q = d + 6; s = w + 14. If w = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 6 to m, which gives m = d + 17.\n2. Substitute d = g + 6 to m, which gives m = g + 23.\n3. Substitute g = a + 9 to m, which gives m = a + 32.\n4. Substitute a = s + 6 to m, which gives m = s + 38.\n5. Substitute s = w + 14 to m, which gives m = w + 52.\n6. Substitute w = 6 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 9766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 13; b = x + 6; m = q + 11; e = z + 16; w = 6; x = e + 10; g = a + 9; a = s + 6; r = b + 2; d = g + 6; i = w + 12; q = d + 6; s = w + 14. If w = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 19", "r": "e + 7", "x": "r + 10", "s": "x + 17", "v": "s + 15", "i": "v + 10", "j": "f + 7", "a": "j + 3", "w": "a + 15", "z": "w + 5", "y": "z + 8", "l": "y + 5", "f": 16}, "premises": {"f": 16}, "target": "i"}, "answer": {"steps": [["v", "s + 15", "s + 25"], ["s", "x + 17", "x + 42"], ["x", "r + 10", "r + 52"], ["r", "e + 7", "e + 59"], ["e", "f + 19", "f + 78"], ["f", 16, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"f": 16}, "is_reverse": true}} | 9,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = j + 3; f = 16; r = e + 7; v = s + 15; y = z + 8; l = y + 5; s = x + 17; e = f + 19; z = w + 5; i = v + 10; j = f + 7; x = r + 10; w = a + 15. Given that f = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 15 to i, which gives i = s + 25.\n2. Substitute s = x + 17 to i, which gives i = x + 42.\n3. Substitute x = r + 10 to i, which gives i = r + 52.\n4. Substitute r = e + 7 to i, which gives i = e + 59.\n5. Substitute e = f + 19 to i, which gives i = f + 78.\n6. Substitute f = 16 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 9767,
"question": "Suppose a collection of variables is related by the following definitions: a = j + 3; f = 16; r = e + 7; v = s + 15; y = z + 8; l = y + 5; s = x + 17; e = f + 19; z = w + 5; i = v + 10; j = f + 7; x = r + 10; w = a + 15. Given that f = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 20", "j": "w + 5", "o": "j + 10", "g": "o + 18", "d": "g + 13", "i": "d + 2", "h": "x + 15", "q": "h + 9", "t": "q + 2", "f": "t + 19", "b": "f + 17", "s": "b + 15", "x": 11}, "premises": {"x": 11}, "target": "i"}, "answer": {"steps": [["d", "g + 13", "g + 15"], ["g", "o + 18", "o + 33"], ["o", "j + 10", "j + 43"], ["j", "w + 5", "w + 48"], ["w", "x + 20", "x + 68"], ["x", 11, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"x": 11}, "is_reverse": true}} | 9,768 | 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 = 11; q = h + 9; d = g + 13; s = b + 15; b = f + 17; i = d + 2; t = q + 2; f = t + 19; j = w + 5; h = x + 15; w = x + 20; g = o + 18; o = j + 10. If x = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 13 to i, which gives i = g + 15.\n2. Substitute g = o + 18 to i, which gives i = o + 33.\n3. Substitute o = j + 10 to i, which gives i = j + 43.\n4. Substitute j = w + 5 to i, which gives i = w + 48.\n5. Substitute w = x + 20 to i, which gives i = x + 68.\n6. Substitute x = 11 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 9768,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 11; q = h + 9; d = g + 13; s = b + 15; b = f + 17; i = d + 2; t = q + 2; f = t + 19; j = w + 5; h = x + 15; w = x + 20; g = o + 18; o = j + 10. If x = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 3", "g": "d + 12", "y": "g + 9", "a": "y + 12", "p": "a + 12", "j": "p + 11", "n": "o + 19", "l": "n + 4", "b": "l + 3", "q": "b + 6", "f": "q + 9", "c": "f + 1", "o": 15}, "premises": {"o": 15}, "target": "j"}, "answer": {"steps": [["p", "a + 12", "a + 23"], ["a", "y + 12", "y + 35"], ["y", "g + 9", "g + 44"], ["g", "d + 12", "d + 56"], ["d", "o + 3", "o + 59"], ["o", 15, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"o": 15}, "is_reverse": true}} | 9,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 11; y = g + 9; a = y + 12; c = f + 1; l = n + 4; q = b + 6; d = o + 3; b = l + 3; f = q + 9; p = a + 12; g = d + 12; n = o + 19; o = 15. Given that o = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 12 to j, which gives j = a + 23.\n2. Substitute a = y + 12 to j, which gives j = y + 35.\n3. Substitute y = g + 9 to j, which gives j = g + 44.\n4. Substitute g = d + 12 to j, which gives j = d + 56.\n5. Substitute d = o + 3 to j, which gives j = o + 59.\n6. Substitute o = 15 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 9769,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 11; y = g + 9; a = y + 12; c = f + 1; l = n + 4; q = b + 6; d = o + 3; b = l + 3; f = q + 9; p = a + 12; g = d + 12; n = o + 19; o = 15. Given that o = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 17", "k": "u + 9", "h": "k + 9", "r": "h + 7", "t": "r + 13", "s": "t + 20", "a": "f + 9", "z": "a + 6", "i": "z + 12", "m": "i + 17", "n": "m + 2", "e": "n + 12", "f": 10}, "premises": {"f": 10}, "target": "s"}, "answer": {"steps": [["t", "r + 13", "r + 33"], ["r", "h + 7", "h + 40"], ["h", "k + 9", "k + 49"], ["k", "u + 9", "u + 58"], ["u", "f + 17", "f + 75"], ["f", 10, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"f": 10}, "is_reverse": true}} | 9,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 6; s = t + 20; m = i + 17; h = k + 9; r = h + 7; a = f + 9; e = n + 12; u = f + 17; i = z + 12; t = r + 13; f = 10; k = u + 9; n = m + 2. If f = 10, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 13 to s, which gives s = r + 33.\n2. Substitute r = h + 7 to s, which gives s = h + 40.\n3. Substitute h = k + 9 to s, which gives s = k + 49.\n4. Substitute k = u + 9 to s, which gives s = u + 58.\n5. Substitute u = f + 17 to s, which gives s = f + 75.\n6. Substitute f = 10 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 9770,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 6; s = t + 20; m = i + 17; h = k + 9; r = h + 7; a = f + 9; e = n + 12; u = f + 17; i = z + 12; t = r + 13; f = 10; k = u + 9; n = m + 2. If f = 10, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 16", "l": "u + 16", "t": "l + 11", "e": "t + 5", "j": "e + 12", "v": "j + 16", "x": "w + 8", "m": "x + 12", "n": "m + 10", "s": "n + 3", "i": "s + 14", "c": "i + 7", "w": 18}, "premises": {"w": 18}, "target": "v"}, "answer": {"steps": [["j", "e + 12", "e + 28"], ["e", "t + 5", "t + 33"], ["t", "l + 11", "l + 44"], ["l", "u + 16", "u + 60"], ["u", "w + 16", "w + 76"], ["w", 18, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"w": 18}, "is_reverse": true}} | 9,771 | 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 = w + 8; u = w + 16; e = t + 5; n = m + 10; v = j + 16; s = n + 3; w = 18; t = l + 11; m = x + 12; l = u + 16; c = i + 7; i = s + 14; j = e + 12. If w = 18, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 12 to v, which gives v = e + 28.\n2. Substitute e = t + 5 to v, which gives v = t + 33.\n3. Substitute t = l + 11 to v, which gives v = l + 44.\n4. Substitute l = u + 16 to v, which gives v = u + 60.\n5. Substitute u = w + 16 to v, which gives v = w + 76.\n6. Substitute w = 18 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 9771,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = w + 8; u = w + 16; e = t + 5; n = m + 10; v = j + 16; s = n + 3; w = 18; t = l + 11; m = x + 12; l = u + 16; c = i + 7; i = s + 14; j = e + 12. If w = 18, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 11", "r": "t + 16", "j": "r + 1", "d": "j + 6", "q": "d + 5", "u": "q + 4", "f": "v + 7", "l": "f + 19", "n": "l + 6", "z": "n + 3", "c": "z + 18", "w": "c + 1", "v": 9}, "premises": {"v": 9}, "target": "u"}, "answer": {"steps": [["q", "d + 5", "d + 9"], ["d", "j + 6", "j + 15"], ["j", "r + 1", "r + 16"], ["r", "t + 16", "t + 32"], ["t", "v + 11", "v + 43"], ["v", 9, "52"]], "target_var_name": "u", "target_value": 52, "value_dict": {"v": 9}, "is_reverse": true}} | 9,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 5; c = z + 18; z = n + 3; j = r + 1; r = t + 16; t = v + 11; d = j + 6; w = c + 1; f = v + 7; u = q + 4; v = 9; n = l + 6; l = f + 19. If v = 9, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 5 to u, which gives u = d + 9.\n2. Substitute d = j + 6 to u, which gives u = j + 15.\n3. Substitute j = r + 1 to u, which gives u = r + 16.\n4. Substitute r = t + 16 to u, which gives u = t + 32.\n5. Substitute t = v + 11 to u, which gives u = v + 43.\n6. Substitute v = 9 to u, which gives u = 52.\n\nThus, the final answer is u = \\boxed{52}.",
"index": 9772,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 5; c = z + 18; z = n + 3; j = r + 1; r = t + 16; t = v + 11; d = j + 6; w = c + 1; f = v + 7; u = q + 4; v = 9; n = l + 6; l = f + 19. If v = 9, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 15", "g": "t + 20", "s": "g + 11", "y": "s + 1", "r": "y + 16", "p": "r + 16", "o": "e + 15", "z": "o + 4", "q": "z + 8", "n": "q + 8", "i": "n + 17", "f": "i + 7", "e": 20}, "premises": {"e": 20}, "target": "p"}, "answer": {"steps": [["r", "y + 16", "y + 32"], ["y", "s + 1", "s + 33"], ["s", "g + 11", "g + 44"], ["g", "t + 20", "t + 64"], ["t", "e + 15", "e + 79"], ["e", 20, "99"]], "target_var_name": "p", "target_value": 99, "value_dict": {"e": 20}, "is_reverse": true}} | 9,773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = s + 1; g = t + 20; q = z + 8; r = y + 16; n = q + 8; z = o + 4; i = n + 17; e = 20; p = r + 16; s = g + 11; o = e + 15; f = i + 7; t = e + 15. Given that e = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 16 to p, which gives p = y + 32.\n2. Substitute y = s + 1 to p, which gives p = s + 33.\n3. Substitute s = g + 11 to p, which gives p = g + 44.\n4. Substitute g = t + 20 to p, which gives p = t + 64.\n5. Substitute t = e + 15 to p, which gives p = e + 79.\n6. Substitute e = 20 to p, which gives p = 99.\n\nThus, the final answer is p = \\boxed{99}.",
"index": 9773,
"question": "Suppose a collection of variables is related by the following definitions: y = s + 1; g = t + 20; q = z + 8; r = y + 16; n = q + 8; z = o + 4; i = n + 17; e = 20; p = r + 16; s = g + 11; o = e + 15; f = i + 7; t = e + 15. Given that e = 20, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 12", "x": "l + 19", "p": "x + 17", "w": "p + 10", "a": "w + 15", "o": "a + 14", "i": "n + 1", "h": "i + 4", "c": "h + 6", "g": "c + 9", "z": "g + 6", "u": "z + 13", "n": 7}, "premises": {"n": 7}, "target": "o"}, "answer": {"steps": [["a", "w + 15", "w + 29"], ["w", "p + 10", "p + 39"], ["p", "x + 17", "x + 56"], ["x", "l + 19", "l + 75"], ["l", "n + 12", "n + 87"], ["n", 7, "94"]], "target_var_name": "o", "target_value": 94, "value_dict": {"n": 7}, "is_reverse": true}} | 9,774 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = c + 9; x = l + 19; w = p + 10; p = x + 17; o = a + 14; l = n + 12; h = i + 4; u = z + 13; n = 7; i = n + 1; c = h + 6; a = w + 15; z = g + 6. Given that n = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 15 to o, which gives o = w + 29.\n2. Substitute w = p + 10 to o, which gives o = p + 39.\n3. Substitute p = x + 17 to o, which gives o = x + 56.\n4. Substitute x = l + 19 to o, which gives o = l + 75.\n5. Substitute l = n + 12 to o, which gives o = n + 87.\n6. Substitute n = 7 to o, which gives o = 94.\n\nThus, the final answer is o = \\boxed{94}.",
"index": 9774,
"question": "Suppose a collection of variables is related by the following definitions: g = c + 9; x = l + 19; w = p + 10; p = x + 17; o = a + 14; l = n + 12; h = i + 4; u = z + 13; n = 7; i = n + 1; c = h + 6; a = w + 15; z = g + 6. Given that n = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 9", "h": "e + 6", "m": "h + 4", "q": "m + 5", "y": "q + 15", "v": "y + 15", "f": "u + 10", "j": "f + 20", "r": "j + 7", "l": "r + 12", "z": "l + 13", "a": "z + 5", "u": 4}, "premises": {"u": 4}, "target": "v"}, "answer": {"steps": [["y", "q + 15", "q + 30"], ["q", "m + 5", "m + 35"], ["m", "h + 4", "h + 39"], ["h", "e + 6", "e + 45"], ["e", "u + 9", "u + 54"], ["u", 4, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"u": 4}, "is_reverse": true}} | 9,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 6; z = l + 13; l = r + 12; v = y + 15; e = u + 9; y = q + 15; u = 4; f = u + 10; a = z + 5; r = j + 7; q = m + 5; j = f + 20; m = h + 4. If u = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 15 to v, which gives v = q + 30.\n2. Substitute q = m + 5 to v, which gives v = m + 35.\n3. Substitute m = h + 4 to v, which gives v = h + 39.\n4. Substitute h = e + 6 to v, which gives v = e + 45.\n5. Substitute e = u + 9 to v, which gives v = u + 54.\n6. Substitute u = 4 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 9775,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 6; z = l + 13; l = r + 12; v = y + 15; e = u + 9; y = q + 15; u = 4; f = u + 10; a = z + 5; r = j + 7; q = m + 5; j = f + 20; m = h + 4. If u = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 10", "v": "y + 10", "o": "v + 14", "i": "o + 16", "n": "i + 18", "w": "n + 16", "g": "f + 9", "u": "g + 8", "a": "u + 12", "x": "a + 12", "m": "x + 4", "c": "m + 6", "f": 20}, "premises": {"f": 20}, "target": "w"}, "answer": {"steps": [["n", "i + 18", "i + 34"], ["i", "o + 16", "o + 50"], ["o", "v + 14", "v + 64"], ["v", "y + 10", "y + 74"], ["y", "f + 10", "f + 84"], ["f", 20, "104"]], "target_var_name": "w", "target_value": 104, "value_dict": {"f": 20}, "is_reverse": true}} | 9,776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 16; u = g + 8; x = a + 12; a = u + 12; m = x + 4; w = n + 16; y = f + 10; n = i + 18; g = f + 9; c = m + 6; f = 20; o = v + 14; v = y + 10. If f = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 18 to w, which gives w = i + 34.\n2. Substitute i = o + 16 to w, which gives w = o + 50.\n3. Substitute o = v + 14 to w, which gives w = v + 64.\n4. Substitute v = y + 10 to w, which gives w = y + 74.\n5. Substitute y = f + 10 to w, which gives w = f + 84.\n6. Substitute f = 20 to w, which gives w = 104.\n\nThus, the final answer is w = \\boxed{104}.",
"index": 9776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 16; u = g + 8; x = a + 12; a = u + 12; m = x + 4; w = n + 16; y = f + 10; n = i + 18; g = f + 9; c = m + 6; f = 20; o = v + 14; v = y + 10. If f = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 17", "j": "n + 3", "g": "j + 14", "i": "g + 4", "s": "i + 17", "b": "s + 9", "k": "m + 12", "h": "k + 6", "o": "h + 3", "z": "o + 12", "v": "z + 18", "r": "v + 17", "m": 20}, "premises": {"m": 20}, "target": "b"}, "answer": {"steps": [["s", "i + 17", "i + 26"], ["i", "g + 4", "g + 30"], ["g", "j + 14", "j + 44"], ["j", "n + 3", "n + 47"], ["n", "m + 17", "m + 64"], ["m", 20, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"m": 20}, "is_reverse": true}} | 9,777 | 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 = z + 18; s = i + 17; z = o + 12; o = h + 3; j = n + 3; k = m + 12; g = j + 14; b = s + 9; i = g + 4; m = 20; r = v + 17; n = m + 17; h = k + 6. If m = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 17 to b, which gives b = i + 26.\n2. Substitute i = g + 4 to b, which gives b = g + 30.\n3. Substitute g = j + 14 to b, which gives b = j + 44.\n4. Substitute j = n + 3 to b, which gives b = n + 47.\n5. Substitute n = m + 17 to b, which gives b = m + 64.\n6. Substitute m = 20 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 9777,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = z + 18; s = i + 17; z = o + 12; o = h + 3; j = n + 3; k = m + 12; g = j + 14; b = s + 9; i = g + 4; m = 20; r = v + 17; n = m + 17; h = k + 6. If m = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 4", "u": "p + 14", "r": "u + 9", "z": "r + 10", "n": "z + 10", "a": "n + 13", "d": "c + 9", "b": "d + 2", "i": "b + 1", "v": "i + 3", "j": "v + 9", "h": "j + 6", "c": 14}, "premises": {"c": 14}, "target": "a"}, "answer": {"steps": [["n", "z + 10", "z + 23"], ["z", "r + 10", "r + 33"], ["r", "u + 9", "u + 42"], ["u", "p + 14", "p + 56"], ["p", "c + 4", "c + 60"], ["c", 14, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"c": 14}, "is_reverse": true}} | 9,778 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 2; n = z + 10; u = p + 14; r = u + 9; j = v + 9; v = i + 3; c = 14; d = c + 9; a = n + 13; p = c + 4; z = r + 10; h = j + 6; i = b + 1. If c = 14, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 10 to a, which gives a = z + 23.\n2. Substitute z = r + 10 to a, which gives a = r + 33.\n3. Substitute r = u + 9 to a, which gives a = u + 42.\n4. Substitute u = p + 14 to a, which gives a = p + 56.\n5. Substitute p = c + 4 to a, which gives a = c + 60.\n6. Substitute c = 14 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 9778,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 2; n = z + 10; u = p + 14; r = u + 9; j = v + 9; v = i + 3; c = 14; d = c + 9; a = n + 13; p = c + 4; z = r + 10; h = j + 6; i = b + 1. If c = 14, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 8", "v": "b + 2", "j": "v + 14", "k": "j + 2", "h": "k + 17", "t": "h + 14", "y": "w + 9", "r": "y + 18", "q": "r + 19", "a": "q + 4", "o": "a + 4", "i": "o + 14", "w": 3}, "premises": {"w": 3}, "target": "t"}, "answer": {"steps": [["h", "k + 17", "k + 31"], ["k", "j + 2", "j + 33"], ["j", "v + 14", "v + 47"], ["v", "b + 2", "b + 49"], ["b", "w + 8", "w + 57"], ["w", 3, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"w": 3}, "is_reverse": true}} | 9,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = k + 17; a = q + 4; q = r + 19; k = j + 2; t = h + 14; r = y + 18; b = w + 8; i = o + 14; w = 3; j = v + 14; y = w + 9; o = a + 4; v = b + 2. If w = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 17 to t, which gives t = k + 31.\n2. Substitute k = j + 2 to t, which gives t = j + 33.\n3. Substitute j = v + 14 to t, which gives t = v + 47.\n4. Substitute v = b + 2 to t, which gives t = b + 49.\n5. Substitute b = w + 8 to t, which gives t = w + 57.\n6. Substitute w = 3 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 9779,
"question": "Consider a system of variables where each variable is defined as follows: h = k + 17; a = q + 4; q = r + 19; k = j + 2; t = h + 14; r = y + 18; b = w + 8; i = o + 14; w = 3; j = v + 14; y = w + 9; o = a + 4; v = b + 2. If w = 3, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 18", "f": "h + 9", "d": "f + 4", "o": "d + 2", "g": "o + 19", "v": "g + 9", "u": "t + 4", "b": "u + 7", "z": "b + 19", "e": "z + 14", "m": "e + 9", "j": "m + 16", "t": 15}, "premises": {"t": 15}, "target": "v"}, "answer": {"steps": [["g", "o + 19", "o + 28"], ["o", "d + 2", "d + 30"], ["d", "f + 4", "f + 34"], ["f", "h + 9", "h + 43"], ["h", "t + 18", "t + 61"], ["t", 15, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"t": 15}, "is_reverse": true}} | 9,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 4; b = u + 7; j = m + 16; o = d + 2; t = 15; h = t + 18; d = f + 4; f = h + 9; g = o + 19; z = b + 19; m = e + 9; v = g + 9; e = z + 14. If t = 15, 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 g = o + 19 to v, which gives v = o + 28.\n2. Substitute o = d + 2 to v, which gives v = d + 30.\n3. Substitute d = f + 4 to v, which gives v = f + 34.\n4. Substitute f = h + 9 to v, which gives v = h + 43.\n5. Substitute h = t + 18 to v, which gives v = t + 61.\n6. Substitute t = 15 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 9780,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 4; b = u + 7; j = m + 16; o = d + 2; t = 15; h = t + 18; d = f + 4; f = h + 9; g = o + 19; z = b + 19; m = e + 9; v = g + 9; e = z + 14. If t = 15, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 13", "u": "l + 2", "t": "u + 10", "m": "t + 10", "v": "m + 15", "h": "v + 20", "e": "z + 15", "c": "e + 5", "i": "c + 1", "w": "i + 3", "d": "w + 2", "a": "d + 17", "z": 12}, "premises": {"z": 12}, "target": "h"}, "answer": {"steps": [["v", "m + 15", "m + 35"], ["m", "t + 10", "t + 45"], ["t", "u + 10", "u + 55"], ["u", "l + 2", "l + 57"], ["l", "z + 13", "z + 70"], ["z", 12, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"z": 12}, "is_reverse": true}} | 9,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 2; z = 12; m = t + 10; i = c + 1; a = d + 17; w = i + 3; d = w + 2; e = z + 15; v = m + 15; h = v + 20; c = e + 5; l = z + 13; t = u + 10. If z = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 15 to h, which gives h = m + 35.\n2. Substitute m = t + 10 to h, which gives h = t + 45.\n3. Substitute t = u + 10 to h, which gives h = u + 55.\n4. Substitute u = l + 2 to h, which gives h = l + 57.\n5. Substitute l = z + 13 to h, which gives h = z + 70.\n6. Substitute z = 12 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 9781,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 2; z = 12; m = t + 10; i = c + 1; a = d + 17; w = i + 3; d = w + 2; e = z + 15; v = m + 15; h = v + 20; c = e + 5; l = z + 13; t = u + 10. If z = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 9", "p": "j + 13", "b": "p + 6", "c": "b + 11", "d": "c + 20", "s": "d + 6", "x": "r + 17", "h": "x + 12", "q": "h + 3", "i": "q + 1", "e": "i + 6", "l": "e + 19", "r": 1}, "premises": {"r": 1}, "target": "s"}, "answer": {"steps": [["d", "c + 20", "c + 26"], ["c", "b + 11", "b + 37"], ["b", "p + 6", "p + 43"], ["p", "j + 13", "j + 56"], ["j", "r + 9", "r + 65"], ["r", 1, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"r": 1}, "is_reverse": true}} | 9,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = r + 9; r = 1; s = d + 6; e = i + 6; c = b + 11; p = j + 13; b = p + 6; i = q + 1; l = e + 19; d = c + 20; x = r + 17; q = h + 3; h = x + 12. If r = 1, determine the 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 d = c + 20 to s, which gives s = c + 26.\n2. Substitute c = b + 11 to s, which gives s = b + 37.\n3. Substitute b = p + 6 to s, which gives s = p + 43.\n4. Substitute p = j + 13 to s, which gives s = j + 56.\n5. Substitute j = r + 9 to s, which gives s = r + 65.\n6. Substitute r = 1 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 9782,
"question": "Consider a system of variables where each variable is defined as follows: j = r + 9; r = 1; s = d + 6; e = i + 6; c = b + 11; p = j + 13; b = p + 6; i = q + 1; l = e + 19; d = c + 20; x = r + 17; q = h + 3; h = x + 12. If r = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 4", "n": "s + 4", "p": "n + 14", "b": "p + 10", "g": "b + 11", "q": "g + 5", "d": "y + 11", "m": "d + 11", "o": "m + 9", "v": "o + 4", "t": "v + 12", "u": "t + 2", "y": 9}, "premises": {"y": 9}, "target": "q"}, "answer": {"steps": [["g", "b + 11", "b + 16"], ["b", "p + 10", "p + 26"], ["p", "n + 14", "n + 40"], ["n", "s + 4", "s + 44"], ["s", "y + 4", "y + 48"], ["y", 9, "57"]], "target_var_name": "q", "target_value": 57, "value_dict": {"y": 9}, "is_reverse": true}} | 9,783 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 11; n = s + 4; p = n + 14; u = t + 2; y = 9; o = m + 9; q = g + 5; b = p + 10; d = y + 11; s = y + 4; v = o + 4; t = v + 12; g = b + 11. Given that y = 9, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 11 to q, which gives q = b + 16.\n2. Substitute b = p + 10 to q, which gives q = p + 26.\n3. Substitute p = n + 14 to q, which gives q = n + 40.\n4. Substitute n = s + 4 to q, which gives q = s + 44.\n5. Substitute s = y + 4 to q, which gives q = y + 48.\n6. Substitute y = 9 to q, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 9783,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 11; n = s + 4; p = n + 14; u = t + 2; y = 9; o = m + 9; q = g + 5; b = p + 10; d = y + 11; s = y + 4; v = o + 4; t = v + 12; g = b + 11. Given that y = 9, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 11", "i": "v + 17", "o": "i + 5", "w": "o + 1", "k": "w + 14", "s": "k + 15", "x": "h + 3", "p": "x + 11", "l": "p + 16", "f": "l + 20", "d": "f + 20", "b": "d + 16", "h": 18}, "premises": {"h": 18}, "target": "s"}, "answer": {"steps": [["k", "w + 14", "w + 29"], ["w", "o + 1", "o + 30"], ["o", "i + 5", "i + 35"], ["i", "v + 17", "v + 52"], ["v", "h + 11", "h + 63"], ["h", 18, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"h": 18}, "is_reverse": true}} | 9,784 | 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 = h + 3; o = i + 5; i = v + 17; w = o + 1; s = k + 15; f = l + 20; d = f + 20; k = w + 14; p = x + 11; v = h + 11; h = 18; l = p + 16; b = d + 16. If h = 18, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 14 to s, which gives s = w + 29.\n2. Substitute w = o + 1 to s, which gives s = o + 30.\n3. Substitute o = i + 5 to s, which gives s = i + 35.\n4. Substitute i = v + 17 to s, which gives s = v + 52.\n5. Substitute v = h + 11 to s, which gives s = h + 63.\n6. Substitute h = 18 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 9784,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = h + 3; o = i + 5; i = v + 17; w = o + 1; s = k + 15; f = l + 20; d = f + 20; k = w + 14; p = x + 11; v = h + 11; h = 18; l = p + 16; b = d + 16. If h = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 17", "q": "g + 7", "n": "q + 12", "v": "n + 4", "a": "v + 6", "x": "a + 14", "w": "d + 11", "z": "w + 9", "h": "z + 4", "s": "h + 5", "l": "s + 1", "u": "l + 3", "d": 17}, "premises": {"d": 17}, "target": "x"}, "answer": {"steps": [["a", "v + 6", "v + 20"], ["v", "n + 4", "n + 24"], ["n", "q + 12", "q + 36"], ["q", "g + 7", "g + 43"], ["g", "d + 17", "d + 60"], ["d", 17, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"d": 17}, "is_reverse": true}} | 9,785 | 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 = g + 7; u = l + 3; a = v + 6; x = a + 14; g = d + 17; v = n + 4; s = h + 5; z = w + 9; h = z + 4; n = q + 12; w = d + 11; l = s + 1; d = 17. If d = 17, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 6 to x, which gives x = v + 20.\n2. Substitute v = n + 4 to x, which gives x = n + 24.\n3. Substitute n = q + 12 to x, which gives x = q + 36.\n4. Substitute q = g + 7 to x, which gives x = g + 43.\n5. Substitute g = d + 17 to x, which gives x = d + 60.\n6. Substitute d = 17 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 9785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 7; u = l + 3; a = v + 6; x = a + 14; g = d + 17; v = n + 4; s = h + 5; z = w + 9; h = z + 4; n = q + 12; w = d + 11; l = s + 1; d = 17. If d = 17, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 10", "u": "n + 15", "y": "u + 9", "i": "y + 15", "l": "i + 5", "d": "l + 13", "z": "a + 15", "o": "z + 3", "q": "o + 9", "c": "q + 18", "f": "c + 20", "b": "f + 17", "a": 15}, "premises": {"a": 15}, "target": "d"}, "answer": {"steps": [["l", "i + 5", "i + 18"], ["i", "y + 15", "y + 33"], ["y", "u + 9", "u + 42"], ["u", "n + 15", "n + 57"], ["n", "a + 10", "a + 67"], ["a", 15, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"a": 15}, "is_reverse": true}} | 9,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 18; n = a + 10; f = c + 20; l = i + 5; d = l + 13; z = a + 15; b = f + 17; y = u + 9; o = z + 3; u = n + 15; a = 15; i = y + 15; q = o + 9. Given that a = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 5 to d, which gives d = i + 18.\n2. Substitute i = y + 15 to d, which gives d = y + 33.\n3. Substitute y = u + 9 to d, which gives d = u + 42.\n4. Substitute u = n + 15 to d, which gives d = n + 57.\n5. Substitute n = a + 10 to d, which gives d = a + 67.\n6. Substitute a = 15 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 9786,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 18; n = a + 10; f = c + 20; l = i + 5; d = l + 13; z = a + 15; b = f + 17; y = u + 9; o = z + 3; u = n + 15; a = 15; i = y + 15; q = o + 9. Given that a = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 1", "b": "a + 16", "h": "b + 10", "o": "h + 6", "r": "o + 5", "y": "r + 2", "c": "z + 5", "j": "c + 19", "n": "j + 7", "v": "n + 3", "e": "v + 3", "s": "e + 19", "z": 5}, "premises": {"z": 5}, "target": "y"}, "answer": {"steps": [["r", "o + 5", "o + 7"], ["o", "h + 6", "h + 13"], ["h", "b + 10", "b + 23"], ["b", "a + 16", "a + 39"], ["a", "z + 1", "z + 40"], ["z", 5, "45"]], "target_var_name": "y", "target_value": 45, "value_dict": {"z": 5}, "is_reverse": true}} | 9,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 6; a = z + 1; y = r + 2; v = n + 3; e = v + 3; n = j + 7; h = b + 10; j = c + 19; r = o + 5; z = 5; s = e + 19; b = a + 16; c = z + 5. If z = 5, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 5 to y, which gives y = o + 7.\n2. Substitute o = h + 6 to y, which gives y = h + 13.\n3. Substitute h = b + 10 to y, which gives y = b + 23.\n4. Substitute b = a + 16 to y, which gives y = a + 39.\n5. Substitute a = z + 1 to y, which gives y = z + 40.\n6. Substitute z = 5 to y, which gives y = 45.\n\nThus, the final answer is y = \\boxed{45}.",
"index": 9787,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 6; a = z + 1; y = r + 2; v = n + 3; e = v + 3; n = j + 7; h = b + 10; j = c + 19; r = o + 5; z = 5; s = e + 19; b = a + 16; c = z + 5. If z = 5, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 6", "t": "a + 4", "c": "t + 9", "e": "c + 15", "w": "e + 3", "z": "w + 12", "d": "o + 12", "u": "d + 15", "v": "u + 17", "y": "v + 16", "m": "y + 1", "x": "m + 16", "o": 16}, "premises": {"o": 16}, "target": "z"}, "answer": {"steps": [["w", "e + 3", "e + 15"], ["e", "c + 15", "c + 30"], ["c", "t + 9", "t + 39"], ["t", "a + 4", "a + 43"], ["a", "o + 6", "o + 49"], ["o", 16, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"o": 16}, "is_reverse": true}} | 9,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 16; z = w + 12; w = e + 3; a = o + 6; e = c + 15; v = u + 17; c = t + 9; o = 16; d = o + 12; m = y + 1; u = d + 15; x = m + 16; t = a + 4. Given that o = 16, find 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 w = e + 3 to z, which gives z = e + 15.\n2. Substitute e = c + 15 to z, which gives z = c + 30.\n3. Substitute c = t + 9 to z, which gives z = t + 39.\n4. Substitute t = a + 4 to z, which gives z = a + 43.\n5. Substitute a = o + 6 to z, which gives z = o + 49.\n6. Substitute o = 16 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 9788,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 16; z = w + 12; w = e + 3; a = o + 6; e = c + 15; v = u + 17; c = t + 9; o = 16; d = o + 12; m = y + 1; u = d + 15; x = m + 16; t = a + 4. Given that o = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 11", "s": "c + 2", "p": "s + 10", "k": "p + 5", "t": "k + 6", "h": "t + 15", "b": "f + 13", "o": "b + 6", "x": "o + 16", "i": "x + 10", "d": "i + 7", "g": "d + 20", "f": 10}, "premises": {"f": 10}, "target": "h"}, "answer": {"steps": [["t", "k + 6", "k + 21"], ["k", "p + 5", "p + 26"], ["p", "s + 10", "s + 36"], ["s", "c + 2", "c + 38"], ["c", "f + 11", "f + 49"], ["f", 10, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"f": 10}, "is_reverse": true}} | 9,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 13; x = o + 16; h = t + 15; o = b + 6; g = d + 20; p = s + 10; k = p + 5; f = 10; c = f + 11; i = x + 10; d = i + 7; s = c + 2; t = k + 6. If f = 10, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 6 to h, which gives h = k + 21.\n2. Substitute k = p + 5 to h, which gives h = p + 26.\n3. Substitute p = s + 10 to h, which gives h = s + 36.\n4. Substitute s = c + 2 to h, which gives h = c + 38.\n5. Substitute c = f + 11 to h, which gives h = f + 49.\n6. Substitute f = 10 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 9789,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 13; x = o + 16; h = t + 15; o = b + 6; g = d + 20; p = s + 10; k = p + 5; f = 10; c = f + 11; i = x + 10; d = i + 7; s = c + 2; t = k + 6. If f = 10, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 16", "c": "w + 11", "y": "c + 19", "q": "y + 1", "j": "q + 6", "m": "j + 19", "s": "g + 8", "t": "s + 11", "h": "t + 15", "r": "h + 8", "z": "r + 3", "x": "z + 6", "g": 14}, "premises": {"g": 14}, "target": "m"}, "answer": {"steps": [["j", "q + 6", "q + 25"], ["q", "y + 1", "y + 26"], ["y", "c + 19", "c + 45"], ["c", "w + 11", "w + 56"], ["w", "g + 16", "g + 72"], ["g", 14, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"g": 14}, "is_reverse": true}} | 9,790 | 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 = w + 11; g = 14; q = y + 1; j = q + 6; h = t + 15; y = c + 19; r = h + 8; s = g + 8; m = j + 19; x = z + 6; z = r + 3; w = g + 16; t = s + 11. If g = 14, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 6 to m, which gives m = q + 25.\n2. Substitute q = y + 1 to m, which gives m = y + 26.\n3. Substitute y = c + 19 to m, which gives m = c + 45.\n4. Substitute c = w + 11 to m, which gives m = w + 56.\n5. Substitute w = g + 16 to m, which gives m = g + 72.\n6. Substitute g = 14 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 9790,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = w + 11; g = 14; q = y + 1; j = q + 6; h = t + 15; y = c + 19; r = h + 8; s = g + 8; m = j + 19; x = z + 6; z = r + 3; w = g + 16; t = s + 11. If g = 14, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 8", "m": "y + 20", "t": "m + 1", "a": "t + 7", "q": "a + 1", "g": "q + 1", "e": "n + 6", "u": "e + 1", "r": "u + 13", "s": "r + 7", "h": "s + 9", "c": "h + 7", "n": 8}, "premises": {"n": 8}, "target": "g"}, "answer": {"steps": [["q", "a + 1", "a + 2"], ["a", "t + 7", "t + 9"], ["t", "m + 1", "m + 10"], ["m", "y + 20", "y + 30"], ["y", "n + 8", "n + 38"], ["n", 8, "46"]], "target_var_name": "g", "target_value": 46, "value_dict": {"n": 8}, "is_reverse": true}} | 9,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 1; g = q + 1; e = n + 6; r = u + 13; s = r + 7; h = s + 9; q = a + 1; a = t + 7; m = y + 20; y = n + 8; n = 8; u = e + 1; c = h + 7. If n = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 1 to g, which gives g = a + 2.\n2. Substitute a = t + 7 to g, which gives g = t + 9.\n3. Substitute t = m + 1 to g, which gives g = m + 10.\n4. Substitute m = y + 20 to g, which gives g = y + 30.\n5. Substitute y = n + 8 to g, which gives g = n + 38.\n6. Substitute n = 8 to g, which gives g = 46.\n\nThus, the final answer is g = \\boxed{46}.",
"index": 9791,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 1; g = q + 1; e = n + 6; r = u + 13; s = r + 7; h = s + 9; q = a + 1; a = t + 7; m = y + 20; y = n + 8; n = 8; u = e + 1; c = h + 7. If n = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 13", "t": "o + 17", "d": "t + 6", "a": "d + 18", "g": "a + 12", "c": "g + 2", "u": "l + 4", "p": "u + 20", "j": "p + 14", "i": "j + 19", "r": "i + 8", "f": "r + 12", "l": 14}, "premises": {"l": 14}, "target": "c"}, "answer": {"steps": [["g", "a + 12", "a + 14"], ["a", "d + 18", "d + 32"], ["d", "t + 6", "t + 38"], ["t", "o + 17", "o + 55"], ["o", "l + 13", "l + 68"], ["l", 14, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"l": 14}, "is_reverse": true}} | 9,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 4; p = u + 20; t = o + 17; d = t + 6; r = i + 8; o = l + 13; g = a + 12; a = d + 18; f = r + 12; l = 14; j = p + 14; i = j + 19; c = g + 2. If l = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 12 to c, which gives c = a + 14.\n2. Substitute a = d + 18 to c, which gives c = d + 32.\n3. Substitute d = t + 6 to c, which gives c = t + 38.\n4. Substitute t = o + 17 to c, which gives c = o + 55.\n5. Substitute o = l + 13 to c, which gives c = l + 68.\n6. Substitute l = 14 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 9792,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 4; p = u + 20; t = o + 17; d = t + 6; r = i + 8; o = l + 13; g = a + 12; a = d + 18; f = r + 12; l = 14; j = p + 14; i = j + 19; c = g + 2. If l = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 19", "d": "m + 7", "y": "d + 1", "s": "y + 14", "t": "s + 16", "e": "t + 3", "h": "i + 2", "b": "h + 2", "c": "b + 15", "p": "c + 13", "a": "p + 2", "f": "a + 19", "i": 3}, "premises": {"i": 3}, "target": "e"}, "answer": {"steps": [["t", "s + 16", "s + 19"], ["s", "y + 14", "y + 33"], ["y", "d + 1", "d + 34"], ["d", "m + 7", "m + 41"], ["m", "i + 19", "i + 60"], ["i", 3, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"i": 3}, "is_reverse": true}} | 9,793 | 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 = 3; a = p + 2; d = m + 7; e = t + 3; b = h + 2; c = b + 15; s = y + 14; f = a + 19; t = s + 16; m = i + 19; y = d + 1; p = c + 13; h = i + 2. If i = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 16 to e, which gives e = s + 19.\n2. Substitute s = y + 14 to e, which gives e = y + 33.\n3. Substitute y = d + 1 to e, which gives e = d + 34.\n4. Substitute d = m + 7 to e, which gives e = m + 41.\n5. Substitute m = i + 19 to e, which gives e = i + 60.\n6. Substitute i = 3 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 9793,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 3; a = p + 2; d = m + 7; e = t + 3; b = h + 2; c = b + 15; s = y + 14; f = a + 19; t = s + 16; m = i + 19; y = d + 1; p = c + 13; h = i + 2. If i = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 1", "y": "g + 7", "m": "y + 4", "n": "m + 1", "p": "n + 7", "s": "p + 1", "u": "v + 5", "j": "u + 8", "f": "j + 2", "i": "f + 6", "z": "i + 2", "d": "z + 18", "v": 2}, "premises": {"v": 2}, "target": "s"}, "answer": {"steps": [["p", "n + 7", "n + 8"], ["n", "m + 1", "m + 9"], ["m", "y + 4", "y + 13"], ["y", "g + 7", "g + 20"], ["g", "v + 1", "v + 21"], ["v", 2, "23"]], "target_var_name": "s", "target_value": 23, "value_dict": {"v": 2}, "is_reverse": true}} | 9,794 | 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 = 2; z = i + 2; u = v + 5; n = m + 1; p = n + 7; d = z + 18; s = p + 1; y = g + 7; g = v + 1; f = j + 2; m = y + 4; j = u + 8; i = f + 6. If v = 2, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 23,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 7 to s, which gives s = n + 8.\n2. Substitute n = m + 1 to s, which gives s = m + 9.\n3. Substitute m = y + 4 to s, which gives s = y + 13.\n4. Substitute y = g + 7 to s, which gives s = g + 20.\n5. Substitute g = v + 1 to s, which gives s = v + 21.\n6. Substitute v = 2 to s, which gives s = 23.\n\nThus, the final answer is s = \\boxed{23}.",
"index": 9794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 2; z = i + 2; u = v + 5; n = m + 1; p = n + 7; d = z + 18; s = p + 1; y = g + 7; g = v + 1; f = j + 2; m = y + 4; j = u + 8; i = f + 6. If v = 2, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 9", "x": "r + 10", "y": "x + 1", "o": "y + 20", "d": "o + 20", "f": "d + 10", "t": "i + 13", "m": "t + 16", "h": "m + 2", "k": "h + 12", "p": "k + 2", "u": "p + 2", "i": 11}, "premises": {"i": 11}, "target": "f"}, "answer": {"steps": [["d", "o + 20", "o + 30"], ["o", "y + 20", "y + 50"], ["y", "x + 1", "x + 51"], ["x", "r + 10", "r + 61"], ["r", "i + 9", "i + 70"], ["i", 11, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"i": 11}, "is_reverse": true}} | 9,795 | 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 = o + 20; i = 11; y = x + 1; f = d + 10; r = i + 9; p = k + 2; o = y + 20; h = m + 2; t = i + 13; x = r + 10; m = t + 16; u = p + 2; k = h + 12. If i = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 20 to f, which gives f = o + 30.\n2. Substitute o = y + 20 to f, which gives f = y + 50.\n3. Substitute y = x + 1 to f, which gives f = x + 51.\n4. Substitute x = r + 10 to f, which gives f = r + 61.\n5. Substitute r = i + 9 to f, which gives f = i + 70.\n6. Substitute i = 11 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 9795,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 20; i = 11; y = x + 1; f = d + 10; r = i + 9; p = k + 2; o = y + 20; h = m + 2; t = i + 13; x = r + 10; m = t + 16; u = p + 2; k = h + 12. If i = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 1", "v": "g + 3", "j": "v + 16", "x": "j + 15", "s": "x + 7", "q": "s + 5", "k": "r + 19", "a": "k + 3", "z": "a + 19", "y": "z + 7", "n": "y + 13", "b": "n + 14", "r": 17}, "premises": {"r": 17}, "target": "q"}, "answer": {"steps": [["s", "x + 7", "x + 12"], ["x", "j + 15", "j + 27"], ["j", "v + 16", "v + 43"], ["v", "g + 3", "g + 46"], ["g", "r + 1", "r + 47"], ["r", 17, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"r": 17}, "is_reverse": true}} | 9,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 17; v = g + 3; g = r + 1; j = v + 16; a = k + 3; s = x + 7; q = s + 5; n = y + 13; x = j + 15; k = r + 19; b = n + 14; y = z + 7; z = a + 19. If r = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 7 to q, which gives q = x + 12.\n2. Substitute x = j + 15 to q, which gives q = j + 27.\n3. Substitute j = v + 16 to q, which gives q = v + 43.\n4. Substitute v = g + 3 to q, which gives q = g + 46.\n5. Substitute g = r + 1 to q, which gives q = r + 47.\n6. Substitute r = 17 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 9796,
"question": "Consider a system of variables where each variable is defined as follows: r = 17; v = g + 3; g = r + 1; j = v + 16; a = k + 3; s = x + 7; q = s + 5; n = y + 13; x = j + 15; k = r + 19; b = n + 14; y = z + 7; z = a + 19. If r = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 12", "h": "l + 4", "i": "h + 13", "o": "i + 17", "q": "o + 1", "c": "q + 11", "w": "p + 19", "a": "w + 2", "s": "a + 12", "f": "s + 19", "z": "f + 9", "u": "z + 1", "p": 2}, "premises": {"p": 2}, "target": "c"}, "answer": {"steps": [["q", "o + 1", "o + 12"], ["o", "i + 17", "i + 29"], ["i", "h + 13", "h + 42"], ["h", "l + 4", "l + 46"], ["l", "p + 12", "p + 58"], ["p", 2, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"p": 2}, "is_reverse": true}} | 9,797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = s + 19; i = h + 13; o = i + 17; w = p + 19; p = 2; a = w + 2; z = f + 9; c = q + 11; s = a + 12; u = z + 1; q = o + 1; h = l + 4; l = p + 12. Given that p = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 1 to c, which gives c = o + 12.\n2. Substitute o = i + 17 to c, which gives c = i + 29.\n3. Substitute i = h + 13 to c, which gives c = h + 42.\n4. Substitute h = l + 4 to c, which gives c = l + 46.\n5. Substitute l = p + 12 to c, which gives c = p + 58.\n6. Substitute p = 2 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 9797,
"question": "Suppose a collection of variables is related by the following definitions: f = s + 19; i = h + 13; o = i + 17; w = p + 19; p = 2; a = w + 2; z = f + 9; c = q + 11; s = a + 12; u = z + 1; q = o + 1; h = l + 4; l = p + 12. Given that p = 2, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 7", "d": "h + 1", "q": "d + 11", "t": "q + 14", "o": "t + 18", "g": "o + 15", "c": "p + 1", "a": "c + 18", "x": "a + 3", "j": "x + 16", "y": "j + 14", "r": "y + 16", "p": 6}, "premises": {"p": 6}, "target": "g"}, "answer": {"steps": [["o", "t + 18", "t + 33"], ["t", "q + 14", "q + 47"], ["q", "d + 11", "d + 58"], ["d", "h + 1", "h + 59"], ["h", "p + 7", "p + 66"], ["p", 6, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"p": 6}, "is_reverse": true}} | 9,798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 14; d = h + 1; r = y + 16; j = x + 16; y = j + 14; g = o + 15; x = a + 3; c = p + 1; q = d + 11; a = c + 18; p = 6; o = t + 18; h = p + 7. Given that p = 6, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 18 to g, which gives g = t + 33.\n2. Substitute t = q + 14 to g, which gives g = q + 47.\n3. Substitute q = d + 11 to g, which gives g = d + 58.\n4. Substitute d = h + 1 to g, which gives g = h + 59.\n5. Substitute h = p + 7 to g, which gives g = p + 66.\n6. Substitute p = 6 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 9798,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 14; d = h + 1; r = y + 16; j = x + 16; y = j + 14; g = o + 15; x = a + 3; c = p + 1; q = d + 11; a = c + 18; p = 6; o = t + 18; h = p + 7. Given that p = 6, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 6", "q": "e + 13", "w": "q + 18", "p": "w + 6", "d": "p + 10", "g": "d + 12", "y": "u + 4", "v": "y + 18", "m": "v + 14", "a": "m + 17", "j": "a + 1", "i": "j + 20", "u": 19}, "premises": {"u": 19}, "target": "g"}, "answer": {"steps": [["d", "p + 10", "p + 22"], ["p", "w + 6", "w + 28"], ["w", "q + 18", "q + 46"], ["q", "e + 13", "e + 59"], ["e", "u + 6", "u + 65"], ["u", 19, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"u": 19}, "is_reverse": true}} | 9,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 6; v = y + 18; u = 19; w = q + 18; j = a + 1; m = v + 14; g = d + 12; d = p + 10; q = e + 13; a = m + 17; e = u + 6; y = u + 4; i = j + 20. If u = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 10 to g, which gives g = p + 22.\n2. Substitute p = w + 6 to g, which gives g = w + 28.\n3. Substitute w = q + 18 to g, which gives g = q + 46.\n4. Substitute q = e + 13 to g, which gives g = e + 59.\n5. Substitute e = u + 6 to g, which gives g = u + 65.\n6. Substitute u = 19 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 9799,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 6; v = y + 18; u = 19; w = q + 18; j = a + 1; m = v + 14; g = d + 12; d = p + 10; q = e + 13; a = m + 17; e = u + 6; y = u + 4; i = j + 20. If u = 19, what is the resulting value of g?",
"split": "train"
} |
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