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": {"d": "l + 2", "j": "d + 10", "h": "j + 11", "y": "h + 12", "e": "y + 10", "i": "e + 4", "z": "l + 9", "s": "z + 10", "u": "s + 1", "p": "u + 17", "g": "p + 6", "v": "g + 5", "l": 9}, "premises": {"l": 9}, "target": "i"}, "answer": {"steps": [["e", "y + 10", "y + 14"], ["y", "h + 12", "h + 26"], ["h", "j + 11", "j + 37"], ["j", "d + 10", "d + 47"], ["d", "l + 2", "l + 49"], ["l", 9, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"l": 9}, "is_reverse": true}} | 21,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 5; g = p + 6; p = u + 17; j = d + 10; z = l + 9; l = 9; s = z + 10; h = j + 11; i = e + 4; y = h + 12; e = y + 10; u = s + 1; d = l + 2. If l = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 10 to i, which gives i = y + 14.\n2. Substitute y = h + 12 to i, which gives i = h + 26.\n3. Substitute h = j + 11 to i, which gives i = j + 37.\n4. Substitute j = d + 10 to i, which gives i = d + 47.\n5. Substitute d = l + 2 to i, which gives i = l + 49.\n6. Substitute l = 9 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 21100,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 5; g = p + 6; p = u + 17; j = d + 10; z = l + 9; l = 9; s = z + 10; h = j + 11; i = e + 4; y = h + 12; e = y + 10; u = s + 1; d = l + 2. If l = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 12", "r": "z + 10", "x": "r + 19", "y": "x + 10", "q": "y + 11", "t": "q + 9", "e": "f + 19", "s": "e + 2", "o": "s + 7", "c": "o + 15", "i": "c + 9", "w": "i + 4", "f": 15}, "premises": {"f": 15}, "target": "t"}, "answer": {"steps": [["q", "y + 11", "y + 20"], ["y", "x + 10", "x + 30"], ["x", "r + 19", "r + 49"], ["r", "z + 10", "z + 59"], ["z", "f + 12", "f + 71"], ["f", 15, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"f": 15}, "is_reverse": true}} | 21,101 | 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 = x + 10; c = o + 15; z = f + 12; r = z + 10; i = c + 9; f = 15; s = e + 2; t = q + 9; q = y + 11; x = r + 19; o = s + 7; w = i + 4; e = f + 19. If f = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 11 to t, which gives t = y + 20.\n2. Substitute y = x + 10 to t, which gives t = x + 30.\n3. Substitute x = r + 19 to t, which gives t = r + 49.\n4. Substitute r = z + 10 to t, which gives t = z + 59.\n5. Substitute z = f + 12 to t, which gives t = f + 71.\n6. Substitute f = 15 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 21101,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 10; c = o + 15; z = f + 12; r = z + 10; i = c + 9; f = 15; s = e + 2; t = q + 9; q = y + 11; x = r + 19; o = s + 7; w = i + 4; e = f + 19. If f = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 9", "c": "n + 10", "y": "c + 19", "q": "y + 10", "t": "q + 12", "a": "t + 20", "z": "b + 10", "e": "z + 3", "w": "e + 14", "j": "w + 13", "s": "j + 2", "m": "s + 18", "b": 6}, "premises": {"b": 6}, "target": "a"}, "answer": {"steps": [["t", "q + 12", "q + 32"], ["q", "y + 10", "y + 42"], ["y", "c + 19", "c + 61"], ["c", "n + 10", "n + 71"], ["n", "b + 9", "b + 80"], ["b", 6, "86"]], "target_var_name": "a", "target_value": 86, "value_dict": {"b": 6}, "is_reverse": true}} | 21,102 | 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 = w + 13; c = n + 10; a = t + 20; m = s + 18; y = c + 19; e = z + 3; b = 6; q = y + 10; s = j + 2; n = b + 9; z = b + 10; w = e + 14; t = q + 12. If b = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 12 to a, which gives a = q + 32.\n2. Substitute q = y + 10 to a, which gives a = y + 42.\n3. Substitute y = c + 19 to a, which gives a = c + 61.\n4. Substitute c = n + 10 to a, which gives a = n + 71.\n5. Substitute n = b + 9 to a, which gives a = b + 80.\n6. Substitute b = 6 to a, which gives a = 86.\n\nThus, the final answer is a = \\boxed{86}.",
"index": 21102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 13; c = n + 10; a = t + 20; m = s + 18; y = c + 19; e = z + 3; b = 6; q = y + 10; s = j + 2; n = b + 9; z = b + 10; w = e + 14; t = q + 12. If b = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 14", "h": "j + 10", "t": "h + 17", "s": "t + 6", "n": "s + 1", "w": "n + 16", "c": "k + 6", "y": "c + 5", "m": "y + 10", "u": "m + 7", "a": "u + 12", "f": "a + 10", "k": 16}, "premises": {"k": 16}, "target": "w"}, "answer": {"steps": [["n", "s + 1", "s + 17"], ["s", "t + 6", "t + 23"], ["t", "h + 17", "h + 40"], ["h", "j + 10", "j + 50"], ["j", "k + 14", "k + 64"], ["k", 16, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"k": 16}, "is_reverse": true}} | 21,103 | 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 + 5; c = k + 6; w = n + 16; s = t + 6; j = k + 14; n = s + 1; h = j + 10; k = 16; u = m + 7; f = a + 10; m = y + 10; a = u + 12; t = h + 17. If k = 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 n = s + 1 to w, which gives w = s + 17.\n2. Substitute s = t + 6 to w, which gives w = t + 23.\n3. Substitute t = h + 17 to w, which gives w = h + 40.\n4. Substitute h = j + 10 to w, which gives w = j + 50.\n5. Substitute j = k + 14 to w, which gives w = k + 64.\n6. Substitute k = 16 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 21103,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 5; c = k + 6; w = n + 16; s = t + 6; j = k + 14; n = s + 1; h = j + 10; k = 16; u = m + 7; f = a + 10; m = y + 10; a = u + 12; t = h + 17. If k = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 14", "v": "i + 6", "h": "v + 12", "u": "h + 6", "n": "u + 12", "k": "n + 6", "b": "q + 16", "o": "b + 1", "g": "o + 1", "y": "g + 2", "m": "y + 1", "w": "m + 2", "q": 18}, "premises": {"q": 18}, "target": "k"}, "answer": {"steps": [["n", "u + 12", "u + 18"], ["u", "h + 6", "h + 24"], ["h", "v + 12", "v + 36"], ["v", "i + 6", "i + 42"], ["i", "q + 14", "q + 56"], ["q", 18, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"q": 18}, "is_reverse": true}} | 21,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 6; w = m + 2; h = v + 12; u = h + 6; y = g + 2; q = 18; o = b + 1; b = q + 16; i = q + 14; k = n + 6; n = u + 12; g = o + 1; m = y + 1. If q = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 12 to k, which gives k = u + 18.\n2. Substitute u = h + 6 to k, which gives k = h + 24.\n3. Substitute h = v + 12 to k, which gives k = v + 36.\n4. Substitute v = i + 6 to k, which gives k = i + 42.\n5. Substitute i = q + 14 to k, which gives k = q + 56.\n6. Substitute q = 18 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 21104,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 6; w = m + 2; h = v + 12; u = h + 6; y = g + 2; q = 18; o = b + 1; b = q + 16; i = q + 14; k = n + 6; n = u + 12; g = o + 1; m = y + 1. If q = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 19", "o": "u + 16", "v": "o + 20", "a": "v + 12", "r": "a + 20", "g": "r + 1", "h": "q + 14", "y": "h + 13", "l": "y + 20", "c": "l + 12", "k": "c + 10", "d": "k + 14", "q": 9}, "premises": {"q": 9}, "target": "g"}, "answer": {"steps": [["r", "a + 20", "a + 21"], ["a", "v + 12", "v + 33"], ["v", "o + 20", "o + 53"], ["o", "u + 16", "u + 69"], ["u", "q + 19", "q + 88"], ["q", 9, "97"]], "target_var_name": "g", "target_value": 97, "value_dict": {"q": 9}, "is_reverse": true}} | 21,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 20; k = c + 10; o = u + 16; u = q + 19; h = q + 14; r = a + 20; d = k + 14; a = v + 12; g = r + 1; v = o + 20; q = 9; y = h + 13; c = l + 12. If q = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 20 to g, which gives g = a + 21.\n2. Substitute a = v + 12 to g, which gives g = v + 33.\n3. Substitute v = o + 20 to g, which gives g = o + 53.\n4. Substitute o = u + 16 to g, which gives g = u + 69.\n5. Substitute u = q + 19 to g, which gives g = q + 88.\n6. Substitute q = 9 to g, which gives g = 97.\n\nThus, the final answer is g = \\boxed{97}.",
"index": 21105,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 20; k = c + 10; o = u + 16; u = q + 19; h = q + 14; r = a + 20; d = k + 14; a = v + 12; g = r + 1; v = o + 20; q = 9; y = h + 13; c = l + 12. If q = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 12", "b": "c + 12", "z": "b + 10", "s": "z + 1", "a": "s + 5", "e": "a + 9", "d": "o + 4", "g": "d + 3", "u": "g + 12", "m": "u + 8", "v": "m + 19", "t": "v + 15", "o": 6}, "premises": {"o": 6}, "target": "e"}, "answer": {"steps": [["a", "s + 5", "s + 14"], ["s", "z + 1", "z + 15"], ["z", "b + 10", "b + 25"], ["b", "c + 12", "c + 37"], ["c", "o + 12", "o + 49"], ["o", 6, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"o": 6}, "is_reverse": true}} | 21,106 | 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 = a + 9; b = c + 12; c = o + 12; t = v + 15; u = g + 12; g = d + 3; s = z + 1; o = 6; v = m + 19; d = o + 4; m = u + 8; z = b + 10; a = s + 5. If o = 6, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 5 to e, which gives e = s + 14.\n2. Substitute s = z + 1 to e, which gives e = z + 15.\n3. Substitute z = b + 10 to e, which gives e = b + 25.\n4. Substitute b = c + 12 to e, which gives e = c + 37.\n5. Substitute c = o + 12 to e, which gives e = o + 49.\n6. Substitute o = 6 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 21106,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 9; b = c + 12; c = o + 12; t = v + 15; u = g + 12; g = d + 3; s = z + 1; o = 6; v = m + 19; d = o + 4; m = u + 8; z = b + 10; a = s + 5. If o = 6, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 19", "v": "i + 16", "q": "v + 6", "a": "q + 3", "m": "a + 2", "k": "m + 6", "t": "n + 16", "x": "t + 19", "s": "x + 2", "e": "s + 18", "g": "e + 18", "c": "g + 19", "n": 9}, "premises": {"n": 9}, "target": "k"}, "answer": {"steps": [["m", "a + 2", "a + 8"], ["a", "q + 3", "q + 11"], ["q", "v + 6", "v + 17"], ["v", "i + 16", "i + 33"], ["i", "n + 19", "n + 52"], ["n", 9, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"n": 9}, "is_reverse": true}} | 21,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 2; v = i + 16; n = 9; i = n + 19; m = a + 2; q = v + 6; g = e + 18; e = s + 18; c = g + 19; a = q + 3; x = t + 19; t = n + 16; k = m + 6. If n = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 2 to k, which gives k = a + 8.\n2. Substitute a = q + 3 to k, which gives k = q + 11.\n3. Substitute q = v + 6 to k, which gives k = v + 17.\n4. Substitute v = i + 16 to k, which gives k = i + 33.\n5. Substitute i = n + 19 to k, which gives k = n + 52.\n6. Substitute n = 9 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 21107,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 2; v = i + 16; n = 9; i = n + 19; m = a + 2; q = v + 6; g = e + 18; e = s + 18; c = g + 19; a = q + 3; x = t + 19; t = n + 16; k = m + 6. If n = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 6", "r": "f + 13", "v": "r + 18", "w": "v + 15", "m": "w + 10", "s": "m + 11", "n": "p + 3", "y": "n + 14", "h": "y + 11", "u": "h + 7", "t": "u + 14", "z": "t + 14", "p": 2}, "premises": {"p": 2}, "target": "s"}, "answer": {"steps": [["m", "w + 10", "w + 21"], ["w", "v + 15", "v + 36"], ["v", "r + 18", "r + 54"], ["r", "f + 13", "f + 67"], ["f", "p + 6", "p + 73"], ["p", 2, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"p": 2}, "is_reverse": true}} | 21,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = p + 6; t = u + 14; y = n + 14; p = 2; r = f + 13; z = t + 14; s = m + 11; m = w + 10; v = r + 18; h = y + 11; u = h + 7; n = p + 3; w = v + 15. If p = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 10 to s, which gives s = w + 21.\n2. Substitute w = v + 15 to s, which gives s = v + 36.\n3. Substitute v = r + 18 to s, which gives s = r + 54.\n4. Substitute r = f + 13 to s, which gives s = f + 67.\n5. Substitute f = p + 6 to s, which gives s = p + 73.\n6. Substitute p = 2 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 21108,
"question": "Consider a system of variables where each variable is defined as follows: f = p + 6; t = u + 14; y = n + 14; p = 2; r = f + 13; z = t + 14; s = m + 11; m = w + 10; v = r + 18; h = y + 11; u = h + 7; n = p + 3; w = v + 15. If p = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 11", "x": "l + 8", "e": "x + 2", "s": "e + 11", "a": "s + 2", "v": "a + 3", "p": "k + 5", "j": "p + 10", "h": "j + 20", "w": "h + 14", "i": "w + 7", "f": "i + 1", "k": 10}, "premises": {"k": 10}, "target": "v"}, "answer": {"steps": [["a", "s + 2", "s + 5"], ["s", "e + 11", "e + 16"], ["e", "x + 2", "x + 18"], ["x", "l + 8", "l + 26"], ["l", "k + 11", "k + 37"], ["k", 10, "47"]], "target_var_name": "v", "target_value": 47, "value_dict": {"k": 10}, "is_reverse": true}} | 21,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 2; w = h + 14; s = e + 11; p = k + 5; x = l + 8; v = a + 3; k = 10; h = j + 20; f = i + 1; i = w + 7; j = p + 10; l = k + 11; e = x + 2. If k = 10, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 2 to v, which gives v = s + 5.\n2. Substitute s = e + 11 to v, which gives v = e + 16.\n3. Substitute e = x + 2 to v, which gives v = x + 18.\n4. Substitute x = l + 8 to v, which gives v = l + 26.\n5. Substitute l = k + 11 to v, which gives v = k + 37.\n6. Substitute k = 10 to v, which gives v = 47.\n\nThus, the final answer is v = \\boxed{47}.",
"index": 21109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 2; w = h + 14; s = e + 11; p = k + 5; x = l + 8; v = a + 3; k = 10; h = j + 20; f = i + 1; i = w + 7; j = p + 10; l = k + 11; e = x + 2. If k = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 3", "y": "d + 11", "j": "y + 8", "r": "j + 2", "k": "r + 5", "l": "k + 12", "g": "t + 16", "z": "g + 9", "f": "z + 3", "q": "f + 11", "m": "q + 7", "b": "m + 3", "t": 12}, "premises": {"t": 12}, "target": "l"}, "answer": {"steps": [["k", "r + 5", "r + 17"], ["r", "j + 2", "j + 19"], ["j", "y + 8", "y + 27"], ["y", "d + 11", "d + 38"], ["d", "t + 3", "t + 41"], ["t", 12, "53"]], "target_var_name": "l", "target_value": 53, "value_dict": {"t": 12}, "is_reverse": true}} | 21,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 2; g = t + 16; q = f + 11; k = r + 5; y = d + 11; l = k + 12; b = m + 3; f = z + 3; m = q + 7; d = t + 3; j = y + 8; z = g + 9; t = 12. If t = 12, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 5 to l, which gives l = r + 17.\n2. Substitute r = j + 2 to l, which gives l = j + 19.\n3. Substitute j = y + 8 to l, which gives l = y + 27.\n4. Substitute y = d + 11 to l, which gives l = d + 38.\n5. Substitute d = t + 3 to l, which gives l = t + 41.\n6. Substitute t = 12 to l, which gives l = 53.\n\nThus, the final answer is l = \\boxed{53}.",
"index": 21110,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 2; g = t + 16; q = f + 11; k = r + 5; y = d + 11; l = k + 12; b = m + 3; f = z + 3; m = q + 7; d = t + 3; j = y + 8; z = g + 9; t = 12. If t = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 18", "s": "m + 5", "x": "s + 9", "l": "x + 18", "j": "l + 6", "q": "j + 12", "h": "g + 4", "b": "h + 3", "c": "b + 4", "n": "c + 5", "a": "n + 13", "z": "a + 6", "g": 13}, "premises": {"g": 13}, "target": "q"}, "answer": {"steps": [["j", "l + 6", "l + 18"], ["l", "x + 18", "x + 36"], ["x", "s + 9", "s + 45"], ["s", "m + 5", "m + 50"], ["m", "g + 18", "g + 68"], ["g", 13, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"g": 13}, "is_reverse": true}} | 21,111 | 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 = g + 4; n = c + 5; g = 13; a = n + 13; x = s + 9; j = l + 6; s = m + 5; z = a + 6; c = b + 4; m = g + 18; q = j + 12; l = x + 18; b = h + 3. If g = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 6 to q, which gives q = l + 18.\n2. Substitute l = x + 18 to q, which gives q = x + 36.\n3. Substitute x = s + 9 to q, which gives q = s + 45.\n4. Substitute s = m + 5 to q, which gives q = m + 50.\n5. Substitute m = g + 18 to q, which gives q = g + 68.\n6. Substitute g = 13 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 21111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 4; n = c + 5; g = 13; a = n + 13; x = s + 9; j = l + 6; s = m + 5; z = a + 6; c = b + 4; m = g + 18; q = j + 12; l = x + 18; b = h + 3. If g = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 4", "i": "o + 18", "m": "i + 20", "t": "m + 20", "n": "t + 11", "h": "n + 13", "w": "c + 8", "d": "w + 5", "s": "d + 5", "k": "s + 5", "b": "k + 15", "p": "b + 19", "c": 10}, "premises": {"c": 10}, "target": "h"}, "answer": {"steps": [["n", "t + 11", "t + 24"], ["t", "m + 20", "m + 44"], ["m", "i + 20", "i + 64"], ["i", "o + 18", "o + 82"], ["o", "c + 4", "c + 86"], ["c", 10, "96"]], "target_var_name": "h", "target_value": 96, "value_dict": {"c": 10}, "is_reverse": true}} | 21,112 | 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 = t + 11; o = c + 4; w = c + 8; m = i + 20; k = s + 5; p = b + 19; d = w + 5; s = d + 5; t = m + 20; h = n + 13; i = o + 18; b = k + 15; c = 10. If c = 10, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 11 to h, which gives h = t + 24.\n2. Substitute t = m + 20 to h, which gives h = m + 44.\n3. Substitute m = i + 20 to h, which gives h = i + 64.\n4. Substitute i = o + 18 to h, which gives h = o + 82.\n5. Substitute o = c + 4 to h, which gives h = c + 86.\n6. Substitute c = 10 to h, which gives h = 96.\n\nThus, the final answer is h = \\boxed{96}.",
"index": 21112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 11; o = c + 4; w = c + 8; m = i + 20; k = s + 5; p = b + 19; d = w + 5; s = d + 5; t = m + 20; h = n + 13; i = o + 18; b = k + 15; c = 10. If c = 10, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 9", "w": "f + 5", "u": "w + 15", "s": "u + 20", "m": "s + 5", "d": "m + 1", "b": "y + 4", "l": "b + 6", "h": "l + 5", "c": "h + 4", "z": "c + 14", "g": "z + 19", "y": 15}, "premises": {"y": 15}, "target": "d"}, "answer": {"steps": [["m", "s + 5", "s + 6"], ["s", "u + 20", "u + 26"], ["u", "w + 15", "w + 41"], ["w", "f + 5", "f + 46"], ["f", "y + 9", "y + 55"], ["y", 15, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"y": 15}, "is_reverse": true}} | 21,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 1; f = y + 9; c = h + 4; z = c + 14; b = y + 4; m = s + 5; s = u + 20; l = b + 6; u = w + 15; g = z + 19; h = l + 5; y = 15; w = f + 5. Given that y = 15, find the 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 m = s + 5 to d, which gives d = s + 6.\n2. Substitute s = u + 20 to d, which gives d = u + 26.\n3. Substitute u = w + 15 to d, which gives d = w + 41.\n4. Substitute w = f + 5 to d, which gives d = f + 46.\n5. Substitute f = y + 9 to d, which gives d = y + 55.\n6. Substitute y = 15 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 21113,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 1; f = y + 9; c = h + 4; z = c + 14; b = y + 4; m = s + 5; s = u + 20; l = b + 6; u = w + 15; g = z + 19; h = l + 5; y = 15; w = f + 5. Given that y = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 6", "c": "s + 18", "h": "c + 18", "u": "h + 11", "g": "u + 16", "a": "g + 17", "j": "y + 17", "o": "j + 12", "d": "o + 5", "x": "d + 19", "m": "x + 11", "f": "m + 20", "y": 8}, "premises": {"y": 8}, "target": "a"}, "answer": {"steps": [["g", "u + 16", "u + 33"], ["u", "h + 11", "h + 44"], ["h", "c + 18", "c + 62"], ["c", "s + 18", "s + 80"], ["s", "y + 6", "y + 86"], ["y", 8, "94"]], "target_var_name": "a", "target_value": 94, "value_dict": {"y": 8}, "is_reverse": true}} | 21,114 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 8; o = j + 12; u = h + 11; f = m + 20; s = y + 6; c = s + 18; a = g + 17; h = c + 18; g = u + 16; d = o + 5; m = x + 11; x = d + 19; j = y + 17. If y = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 16 to a, which gives a = u + 33.\n2. Substitute u = h + 11 to a, which gives a = h + 44.\n3. Substitute h = c + 18 to a, which gives a = c + 62.\n4. Substitute c = s + 18 to a, which gives a = s + 80.\n5. Substitute s = y + 6 to a, which gives a = y + 86.\n6. Substitute y = 8 to a, which gives a = 94.\n\nThus, the final answer is a = \\boxed{94}.",
"index": 21114,
"question": "Consider a system of variables where each variable is defined as follows: y = 8; o = j + 12; u = h + 11; f = m + 20; s = y + 6; c = s + 18; a = g + 17; h = c + 18; g = u + 16; d = o + 5; m = x + 11; x = d + 19; j = y + 17. If y = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 5", "w": "a + 19", "g": "w + 15", "n": "g + 1", "i": "n + 8", "k": "i + 15", "c": "b + 1", "m": "c + 4", "t": "m + 15", "r": "t + 5", "u": "r + 17", "o": "u + 10", "b": 5}, "premises": {"b": 5}, "target": "k"}, "answer": {"steps": [["i", "n + 8", "n + 23"], ["n", "g + 1", "g + 24"], ["g", "w + 15", "w + 39"], ["w", "a + 19", "a + 58"], ["a", "b + 5", "b + 63"], ["b", 5, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"b": 5}, "is_reverse": true}} | 21,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 4; r = t + 5; c = b + 1; w = a + 19; k = i + 15; b = 5; a = b + 5; t = m + 15; g = w + 15; o = u + 10; i = n + 8; u = r + 17; n = g + 1. If b = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 8 to k, which gives k = n + 23.\n2. Substitute n = g + 1 to k, which gives k = g + 24.\n3. Substitute g = w + 15 to k, which gives k = w + 39.\n4. Substitute w = a + 19 to k, which gives k = a + 58.\n5. Substitute a = b + 5 to k, which gives k = b + 63.\n6. Substitute b = 5 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 21115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 4; r = t + 5; c = b + 1; w = a + 19; k = i + 15; b = 5; a = b + 5; t = m + 15; g = w + 15; o = u + 10; i = n + 8; u = r + 17; n = g + 1. If b = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 3", "l": "f + 19", "q": "l + 12", "d": "q + 1", "g": "d + 10", "h": "g + 6", "p": "j + 7", "o": "p + 17", "x": "o + 3", "z": "x + 11", "b": "z + 14", "y": "b + 17", "j": 7}, "premises": {"j": 7}, "target": "h"}, "answer": {"steps": [["g", "d + 10", "d + 16"], ["d", "q + 1", "q + 17"], ["q", "l + 12", "l + 29"], ["l", "f + 19", "f + 48"], ["f", "j + 3", "j + 51"], ["j", 7, "58"]], "target_var_name": "h", "target_value": 58, "value_dict": {"j": 7}, "is_reverse": true}} | 21,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 6; j = 7; g = d + 10; d = q + 1; f = j + 3; l = f + 19; y = b + 17; b = z + 14; x = o + 3; z = x + 11; o = p + 17; p = j + 7; q = l + 12. Given that j = 7, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 10 to h, which gives h = d + 16.\n2. Substitute d = q + 1 to h, which gives h = q + 17.\n3. Substitute q = l + 12 to h, which gives h = l + 29.\n4. Substitute l = f + 19 to h, which gives h = f + 48.\n5. Substitute f = j + 3 to h, which gives h = j + 51.\n6. Substitute j = 7 to h, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 21116,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 6; j = 7; g = d + 10; d = q + 1; f = j + 3; l = f + 19; y = b + 17; b = z + 14; x = o + 3; z = x + 11; o = p + 17; p = j + 7; q = l + 12. Given that j = 7, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 20", "b": "r + 7", "q": "b + 2", "u": "q + 18", "h": "u + 2", "k": "h + 8", "t": "f + 16", "m": "t + 2", "g": "m + 2", "j": "g + 8", "x": "j + 9", "o": "x + 6", "f": 6}, "premises": {"f": 6}, "target": "k"}, "answer": {"steps": [["h", "u + 2", "u + 10"], ["u", "q + 18", "q + 28"], ["q", "b + 2", "b + 30"], ["b", "r + 7", "r + 37"], ["r", "f + 20", "f + 57"], ["f", 6, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"f": 6}, "is_reverse": true}} | 21,117 | 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 = j + 9; f = 6; g = m + 2; t = f + 16; b = r + 7; u = q + 18; h = u + 2; m = t + 2; k = h + 8; q = b + 2; o = x + 6; r = f + 20; j = g + 8. If f = 6, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 2 to k, which gives k = u + 10.\n2. Substitute u = q + 18 to k, which gives k = q + 28.\n3. Substitute q = b + 2 to k, which gives k = b + 30.\n4. Substitute b = r + 7 to k, which gives k = r + 37.\n5. Substitute r = f + 20 to k, which gives k = f + 57.\n6. Substitute f = 6 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 21117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = j + 9; f = 6; g = m + 2; t = f + 16; b = r + 7; u = q + 18; h = u + 2; m = t + 2; k = h + 8; q = b + 2; o = x + 6; r = f + 20; j = g + 8. If f = 6, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 12", "t": "k + 15", "a": "t + 11", "l": "a + 11", "x": "l + 10", "n": "x + 4", "q": "v + 7", "f": "q + 13", "w": "f + 1", "g": "w + 20", "o": "g + 19", "r": "o + 14", "v": 11}, "premises": {"v": 11}, "target": "n"}, "answer": {"steps": [["x", "l + 10", "l + 14"], ["l", "a + 11", "a + 25"], ["a", "t + 11", "t + 36"], ["t", "k + 15", "k + 51"], ["k", "v + 12", "v + 63"], ["v", 11, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"v": 11}, "is_reverse": true}} | 21,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = l + 10; t = k + 15; o = g + 19; r = o + 14; a = t + 11; q = v + 7; n = x + 4; l = a + 11; k = v + 12; w = f + 1; f = q + 13; v = 11; g = w + 20. Given that v = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 10 to n, which gives n = l + 14.\n2. Substitute l = a + 11 to n, which gives n = a + 25.\n3. Substitute a = t + 11 to n, which gives n = t + 36.\n4. Substitute t = k + 15 to n, which gives n = k + 51.\n5. Substitute k = v + 12 to n, which gives n = v + 63.\n6. Substitute v = 11 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 21118,
"question": "Suppose a collection of variables is related by the following definitions: x = l + 10; t = k + 15; o = g + 19; r = o + 14; a = t + 11; q = v + 7; n = x + 4; l = a + 11; k = v + 12; w = f + 1; f = q + 13; v = 11; g = w + 20. Given that v = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 16", "p": "g + 15", "d": "p + 8", "z": "d + 7", "v": "z + 10", "n": "v + 13", "u": "j + 2", "i": "u + 18", "a": "i + 15", "e": "a + 9", "y": "e + 5", "k": "y + 20", "j": 4}, "premises": {"j": 4}, "target": "n"}, "answer": {"steps": [["v", "z + 10", "z + 23"], ["z", "d + 7", "d + 30"], ["d", "p + 8", "p + 38"], ["p", "g + 15", "g + 53"], ["g", "j + 16", "j + 69"], ["j", 4, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"j": 4}, "is_reverse": true}} | 21,119 | 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 = p + 8; n = v + 13; k = y + 20; p = g + 15; a = i + 15; i = u + 18; g = j + 16; y = e + 5; z = d + 7; j = 4; e = a + 9; u = j + 2; v = z + 10. If j = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 10 to n, which gives n = z + 23.\n2. Substitute z = d + 7 to n, which gives n = d + 30.\n3. Substitute d = p + 8 to n, which gives n = p + 38.\n4. Substitute p = g + 15 to n, which gives n = g + 53.\n5. Substitute g = j + 16 to n, which gives n = j + 69.\n6. Substitute j = 4 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 21119,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 8; n = v + 13; k = y + 20; p = g + 15; a = i + 15; i = u + 18; g = j + 16; y = e + 5; z = d + 7; j = 4; e = a + 9; u = j + 2; v = z + 10. If j = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 13", "e": "c + 2", "x": "e + 5", "g": "x + 15", "n": "g + 11", "o": "n + 11", "z": "a + 19", "k": "z + 19", "l": "k + 11", "t": "l + 10", "p": "t + 7", "d": "p + 4", "a": 12}, "premises": {"a": 12}, "target": "o"}, "answer": {"steps": [["n", "g + 11", "g + 22"], ["g", "x + 15", "x + 37"], ["x", "e + 5", "e + 42"], ["e", "c + 2", "c + 44"], ["c", "a + 13", "a + 57"], ["a", 12, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"a": 12}, "is_reverse": true}} | 21,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 5; l = k + 11; e = c + 2; a = 12; k = z + 19; d = p + 4; z = a + 19; c = a + 13; p = t + 7; o = n + 11; g = x + 15; t = l + 10; n = g + 11. Given that a = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 11 to o, which gives o = g + 22.\n2. Substitute g = x + 15 to o, which gives o = x + 37.\n3. Substitute x = e + 5 to o, which gives o = e + 42.\n4. Substitute e = c + 2 to o, which gives o = c + 44.\n5. Substitute c = a + 13 to o, which gives o = a + 57.\n6. Substitute a = 12 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 21120,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 5; l = k + 11; e = c + 2; a = 12; k = z + 19; d = p + 4; z = a + 19; c = a + 13; p = t + 7; o = n + 11; g = x + 15; t = l + 10; n = g + 11. Given that a = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 2", "h": "s + 13", "n": "h + 7", "y": "n + 7", "k": "y + 7", "d": "k + 13", "a": "u + 4", "v": "a + 12", "w": "v + 11", "t": "w + 18", "j": "t + 6", "z": "j + 10", "u": 14}, "premises": {"u": 14}, "target": "d"}, "answer": {"steps": [["k", "y + 7", "y + 20"], ["y", "n + 7", "n + 27"], ["n", "h + 7", "h + 34"], ["h", "s + 13", "s + 47"], ["s", "u + 2", "u + 49"], ["u", 14, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"u": 14}, "is_reverse": true}} | 21,121 | 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 = s + 13; s = u + 2; k = y + 7; d = k + 13; j = t + 6; z = j + 10; y = n + 7; v = a + 12; w = v + 11; a = u + 4; t = w + 18; u = 14; n = h + 7. If u = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 7 to d, which gives d = y + 20.\n2. Substitute y = n + 7 to d, which gives d = n + 27.\n3. Substitute n = h + 7 to d, which gives d = h + 34.\n4. Substitute h = s + 13 to d, which gives d = s + 47.\n5. Substitute s = u + 2 to d, which gives d = u + 49.\n6. Substitute u = 14 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 21121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 13; s = u + 2; k = y + 7; d = k + 13; j = t + 6; z = j + 10; y = n + 7; v = a + 12; w = v + 11; a = u + 4; t = w + 18; u = 14; n = h + 7. If u = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 2", "f": "n + 14", "d": "f + 10", "j": "d + 6", "r": "j + 13", "k": "r + 7", "e": "t + 11", "h": "e + 12", "g": "h + 4", "x": "g + 17", "m": "x + 20", "b": "m + 8", "t": 20}, "premises": {"t": 20}, "target": "k"}, "answer": {"steps": [["r", "j + 13", "j + 20"], ["j", "d + 6", "d + 26"], ["d", "f + 10", "f + 36"], ["f", "n + 14", "n + 50"], ["n", "t + 2", "t + 52"], ["t", 20, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"t": 20}, "is_reverse": true}} | 21,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 4; h = e + 12; x = g + 17; k = r + 7; f = n + 14; m = x + 20; b = m + 8; n = t + 2; e = t + 11; d = f + 10; r = j + 13; j = d + 6; t = 20. Given that t = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 13 to k, which gives k = j + 20.\n2. Substitute j = d + 6 to k, which gives k = d + 26.\n3. Substitute d = f + 10 to k, which gives k = f + 36.\n4. Substitute f = n + 14 to k, which gives k = n + 50.\n5. Substitute n = t + 2 to k, which gives k = t + 52.\n6. Substitute t = 20 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 21122,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 4; h = e + 12; x = g + 17; k = r + 7; f = n + 14; m = x + 20; b = m + 8; n = t + 2; e = t + 11; d = f + 10; r = j + 13; j = d + 6; t = 20. Given that t = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 1", "z": "r + 14", "g": "z + 5", "s": "g + 16", "x": "s + 20", "l": "x + 19", "c": "v + 4", "t": "c + 17", "i": "t + 13", "q": "i + 4", "b": "q + 12", "h": "b + 6", "v": 16}, "premises": {"v": 16}, "target": "l"}, "answer": {"steps": [["x", "s + 20", "s + 39"], ["s", "g + 16", "g + 55"], ["g", "z + 5", "z + 60"], ["z", "r + 14", "r + 74"], ["r", "v + 1", "v + 75"], ["v", 16, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"v": 16}, "is_reverse": true}} | 21,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 4; s = g + 16; z = r + 14; b = q + 12; r = v + 1; h = b + 6; x = s + 20; t = c + 17; i = t + 13; v = 16; q = i + 4; g = z + 5; l = x + 19. If v = 16, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 20 to l, which gives l = s + 39.\n2. Substitute s = g + 16 to l, which gives l = g + 55.\n3. Substitute g = z + 5 to l, which gives l = z + 60.\n4. Substitute z = r + 14 to l, which gives l = r + 74.\n5. Substitute r = v + 1 to l, which gives l = v + 75.\n6. Substitute v = 16 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 21123,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 4; s = g + 16; z = r + 14; b = q + 12; r = v + 1; h = b + 6; x = s + 20; t = c + 17; i = t + 13; v = 16; q = i + 4; g = z + 5; l = x + 19. If v = 16, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 9", "i": "h + 20", "s": "i + 5", "x": "s + 15", "j": "x + 3", "a": "j + 19", "c": "g + 10", "q": "c + 7", "o": "q + 16", "u": "o + 16", "e": "u + 2", "t": "e + 18", "g": 4}, "premises": {"g": 4}, "target": "a"}, "answer": {"steps": [["j", "x + 3", "x + 22"], ["x", "s + 15", "s + 37"], ["s", "i + 5", "i + 42"], ["i", "h + 20", "h + 62"], ["h", "g + 9", "g + 71"], ["g", 4, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"g": 4}, "is_reverse": true}} | 21,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 4; q = c + 7; x = s + 15; u = o + 16; t = e + 18; i = h + 20; s = i + 5; h = g + 9; e = u + 2; o = q + 16; j = x + 3; a = j + 19; c = g + 10. If g = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 3 to a, which gives a = x + 22.\n2. Substitute x = s + 15 to a, which gives a = s + 37.\n3. Substitute s = i + 5 to a, which gives a = i + 42.\n4. Substitute i = h + 20 to a, which gives a = h + 62.\n5. Substitute h = g + 9 to a, which gives a = g + 71.\n6. Substitute g = 4 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 21124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 4; q = c + 7; x = s + 15; u = o + 16; t = e + 18; i = h + 20; s = i + 5; h = g + 9; e = u + 2; o = q + 16; j = x + 3; a = j + 19; c = g + 10. If g = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 13", "c": "u + 2", "i": "c + 12", "b": "i + 11", "l": "b + 11", "m": "l + 19", "v": "e + 3", "n": "v + 10", "w": "n + 17", "q": "w + 16", "t": "q + 4", "f": "t + 16", "e": 9}, "premises": {"e": 9}, "target": "m"}, "answer": {"steps": [["l", "b + 11", "b + 30"], ["b", "i + 11", "i + 41"], ["i", "c + 12", "c + 53"], ["c", "u + 2", "u + 55"], ["u", "e + 13", "e + 68"], ["e", 9, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"e": 9}, "is_reverse": true}} | 21,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 16; m = l + 19; l = b + 11; f = t + 16; t = q + 4; n = v + 10; c = u + 2; v = e + 3; i = c + 12; b = i + 11; w = n + 17; e = 9; u = e + 13. If e = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 11 to m, which gives m = b + 30.\n2. Substitute b = i + 11 to m, which gives m = i + 41.\n3. Substitute i = c + 12 to m, which gives m = c + 53.\n4. Substitute c = u + 2 to m, which gives m = u + 55.\n5. Substitute u = e + 13 to m, which gives m = e + 68.\n6. Substitute e = 9 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 21125,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 16; m = l + 19; l = b + 11; f = t + 16; t = q + 4; n = v + 10; c = u + 2; v = e + 3; i = c + 12; b = i + 11; w = n + 17; e = 9; u = e + 13. If e = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 14", "o": "x + 12", "p": "o + 4", "l": "p + 10", "a": "l + 17", "b": "a + 1", "h": "e + 8", "m": "h + 13", "j": "m + 16", "z": "j + 16", "q": "z + 18", "t": "q + 16", "e": 17}, "premises": {"e": 17}, "target": "b"}, "answer": {"steps": [["a", "l + 17", "l + 18"], ["l", "p + 10", "p + 28"], ["p", "o + 4", "o + 32"], ["o", "x + 12", "x + 44"], ["x", "e + 14", "e + 58"], ["e", 17, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"e": 17}, "is_reverse": true}} | 21,126 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 14; h = e + 8; p = o + 4; q = z + 18; z = j + 16; j = m + 16; t = q + 16; b = a + 1; e = 17; o = x + 12; a = l + 17; l = p + 10; m = h + 13. If e = 17, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 17 to b, which gives b = l + 18.\n2. Substitute l = p + 10 to b, which gives b = p + 28.\n3. Substitute p = o + 4 to b, which gives b = o + 32.\n4. Substitute o = x + 12 to b, which gives b = x + 44.\n5. Substitute x = e + 14 to b, which gives b = e + 58.\n6. Substitute e = 17 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 21126,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 14; h = e + 8; p = o + 4; q = z + 18; z = j + 16; j = m + 16; t = q + 16; b = a + 1; e = 17; o = x + 12; a = l + 17; l = p + 10; m = h + 13. If e = 17, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 2", "l": "d + 18", "y": "l + 1", "a": "y + 14", "m": "a + 16", "r": "m + 11", "g": "v + 16", "w": "g + 17", "t": "w + 7", "e": "t + 7", "b": "e + 7", "k": "b + 3", "v": 10}, "premises": {"v": 10}, "target": "r"}, "answer": {"steps": [["m", "a + 16", "a + 27"], ["a", "y + 14", "y + 41"], ["y", "l + 1", "l + 42"], ["l", "d + 18", "d + 60"], ["d", "v + 2", "v + 62"], ["v", 10, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"v": 10}, "is_reverse": true}} | 21,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 1; l = d + 18; w = g + 17; d = v + 2; t = w + 7; a = y + 14; e = t + 7; v = 10; k = b + 3; b = e + 7; r = m + 11; m = a + 16; g = v + 16. If v = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 16 to r, which gives r = a + 27.\n2. Substitute a = y + 14 to r, which gives r = y + 41.\n3. Substitute y = l + 1 to r, which gives r = l + 42.\n4. Substitute l = d + 18 to r, which gives r = d + 60.\n5. Substitute d = v + 2 to r, which gives r = v + 62.\n6. Substitute v = 10 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 21127,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 1; l = d + 18; w = g + 17; d = v + 2; t = w + 7; a = y + 14; e = t + 7; v = 10; k = b + 3; b = e + 7; r = m + 11; m = a + 16; g = v + 16. If v = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 18", "l": "g + 7", "k": "l + 3", "n": "k + 9", "e": "n + 8", "w": "e + 4", "o": "m + 8", "t": "o + 10", "b": "t + 3", "j": "b + 5", "z": "j + 8", "u": "z + 13", "m": 4}, "premises": {"m": 4}, "target": "w"}, "answer": {"steps": [["e", "n + 8", "n + 12"], ["n", "k + 9", "k + 21"], ["k", "l + 3", "l + 24"], ["l", "g + 7", "g + 31"], ["g", "m + 18", "m + 49"], ["m", 4, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"m": 4}, "is_reverse": true}} | 21,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = z + 13; b = t + 3; n = k + 9; z = j + 8; j = b + 5; k = l + 3; w = e + 4; l = g + 7; g = m + 18; m = 4; t = o + 10; o = m + 8; e = n + 8. Given that m = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 8 to w, which gives w = n + 12.\n2. Substitute n = k + 9 to w, which gives w = k + 21.\n3. Substitute k = l + 3 to w, which gives w = l + 24.\n4. Substitute l = g + 7 to w, which gives w = g + 31.\n5. Substitute g = m + 18 to w, which gives w = m + 49.\n6. Substitute m = 4 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 21128,
"question": "Suppose a collection of variables is related by the following definitions: u = z + 13; b = t + 3; n = k + 9; z = j + 8; j = b + 5; k = l + 3; w = e + 4; l = g + 7; g = m + 18; m = 4; t = o + 10; o = m + 8; e = n + 8. Given that m = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 19", "l": "z + 14", "y": "l + 8", "f": "y + 14", "v": "f + 18", "c": "v + 9", "w": "q + 10", "u": "w + 13", "g": "u + 14", "a": "g + 5", "o": "a + 1", "s": "o + 11", "q": 18}, "premises": {"q": 18}, "target": "c"}, "answer": {"steps": [["v", "f + 18", "f + 27"], ["f", "y + 14", "y + 41"], ["y", "l + 8", "l + 49"], ["l", "z + 14", "z + 63"], ["z", "q + 19", "q + 82"], ["q", 18, "100"]], "target_var_name": "c", "target_value": 100, "value_dict": {"q": 18}, "is_reverse": true}} | 21,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 10; q = 18; u = w + 13; v = f + 18; z = q + 19; f = y + 14; l = z + 14; g = u + 14; o = a + 1; a = g + 5; s = o + 11; c = v + 9; y = l + 8. If q = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 18 to c, which gives c = f + 27.\n2. Substitute f = y + 14 to c, which gives c = y + 41.\n3. Substitute y = l + 8 to c, which gives c = l + 49.\n4. Substitute l = z + 14 to c, which gives c = z + 63.\n5. Substitute z = q + 19 to c, which gives c = q + 82.\n6. Substitute q = 18 to c, which gives c = 100.\n\nThus, the final answer is c = \\boxed{100}.",
"index": 21129,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 10; q = 18; u = w + 13; v = f + 18; z = q + 19; f = y + 14; l = z + 14; g = u + 14; o = a + 1; a = g + 5; s = o + 11; c = v + 9; y = l + 8. If q = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 16", "t": "p + 15", "k": "t + 11", "v": "k + 17", "e": "v + 19", "w": "e + 16", "z": "f + 9", "h": "z + 10", "o": "h + 5", "l": "o + 7", "a": "l + 14", "d": "a + 12", "f": 1}, "premises": {"f": 1}, "target": "w"}, "answer": {"steps": [["e", "v + 19", "v + 35"], ["v", "k + 17", "k + 52"], ["k", "t + 11", "t + 63"], ["t", "p + 15", "p + 78"], ["p", "f + 16", "f + 94"], ["f", 1, "95"]], "target_var_name": "w", "target_value": 95, "value_dict": {"f": 1}, "is_reverse": true}} | 21,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 16; k = t + 11; e = v + 19; h = z + 10; t = p + 15; a = l + 14; o = h + 5; z = f + 9; l = o + 7; v = k + 17; w = e + 16; f = 1; d = a + 12. Given that f = 1, 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 e = v + 19 to w, which gives w = v + 35.\n2. Substitute v = k + 17 to w, which gives w = k + 52.\n3. Substitute k = t + 11 to w, which gives w = t + 63.\n4. Substitute t = p + 15 to w, which gives w = p + 78.\n5. Substitute p = f + 16 to w, which gives w = f + 94.\n6. Substitute f = 1 to w, which gives w = 95.\n\nThus, the final answer is w = \\boxed{95}.",
"index": 21130,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 16; k = t + 11; e = v + 19; h = z + 10; t = p + 15; a = l + 14; o = h + 5; z = f + 9; l = o + 7; v = k + 17; w = e + 16; f = 1; d = a + 12. Given that f = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 10", "f": "s + 6", "j": "f + 20", "m": "j + 1", "h": "m + 2", "c": "h + 17", "d": "y + 4", "r": "d + 9", "o": "r + 7", "i": "o + 15", "g": "i + 15", "b": "g + 13", "y": 17}, "premises": {"y": 17}, "target": "c"}, "answer": {"steps": [["h", "m + 2", "m + 19"], ["m", "j + 1", "j + 20"], ["j", "f + 20", "f + 40"], ["f", "s + 6", "s + 46"], ["s", "y + 10", "y + 56"], ["y", 17, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"y": 17}, "is_reverse": true}} | 21,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 15; h = m + 2; d = y + 4; m = j + 1; f = s + 6; y = 17; r = d + 9; c = h + 17; o = r + 7; s = y + 10; j = f + 20; i = o + 15; b = g + 13. If y = 17, what is the resulting 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 h = m + 2 to c, which gives c = m + 19.\n2. Substitute m = j + 1 to c, which gives c = j + 20.\n3. Substitute j = f + 20 to c, which gives c = f + 40.\n4. Substitute f = s + 6 to c, which gives c = s + 46.\n5. Substitute s = y + 10 to c, which gives c = y + 56.\n6. Substitute y = 17 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 21131,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 15; h = m + 2; d = y + 4; m = j + 1; f = s + 6; y = 17; r = d + 9; c = h + 17; o = r + 7; s = y + 10; j = f + 20; i = o + 15; b = g + 13. If y = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 13", "q": "o + 13", "x": "q + 11", "b": "x + 5", "z": "b + 8", "m": "z + 7", "l": "r + 10", "h": "l + 10", "j": "h + 14", "d": "j + 11", "t": "d + 8", "g": "t + 4", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["z", "b + 8", "b + 15"], ["b", "x + 5", "x + 20"], ["x", "q + 11", "q + 31"], ["q", "o + 13", "o + 44"], ["o", "r + 13", "r + 57"], ["r", 6, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"r": 6}, "is_reverse": true}} | 21,132 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 6; o = r + 13; h = l + 10; g = t + 4; l = r + 10; t = d + 8; j = h + 14; b = x + 5; z = b + 8; x = q + 11; m = z + 7; d = j + 11; q = o + 13. If r = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 8 to m, which gives m = b + 15.\n2. Substitute b = x + 5 to m, which gives m = x + 20.\n3. Substitute x = q + 11 to m, which gives m = q + 31.\n4. Substitute q = o + 13 to m, which gives m = o + 44.\n5. Substitute o = r + 13 to m, which gives m = r + 57.\n6. Substitute r = 6 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 21132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 6; o = r + 13; h = l + 10; g = t + 4; l = r + 10; t = d + 8; j = h + 14; b = x + 5; z = b + 8; x = q + 11; m = z + 7; d = j + 11; q = o + 13. If r = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 15", "l": "o + 2", "z": "l + 11", "f": "z + 11", "y": "f + 19", "x": "y + 14", "j": "w + 10", "k": "j + 2", "e": "k + 16", "m": "e + 7", "b": "m + 16", "n": "b + 6", "w": 4}, "premises": {"w": 4}, "target": "x"}, "answer": {"steps": [["y", "f + 19", "f + 33"], ["f", "z + 11", "z + 44"], ["z", "l + 11", "l + 55"], ["l", "o + 2", "o + 57"], ["o", "w + 15", "w + 72"], ["w", 4, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"w": 4}, "is_reverse": true}} | 21,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 11; z = l + 11; e = k + 16; j = w + 10; m = e + 7; l = o + 2; w = 4; y = f + 19; b = m + 16; o = w + 15; k = j + 2; x = y + 14; n = b + 6. Given that w = 4, 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 y = f + 19 to x, which gives x = f + 33.\n2. Substitute f = z + 11 to x, which gives x = z + 44.\n3. Substitute z = l + 11 to x, which gives x = l + 55.\n4. Substitute l = o + 2 to x, which gives x = o + 57.\n5. Substitute o = w + 15 to x, which gives x = w + 72.\n6. Substitute w = 4 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 21133,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 11; z = l + 11; e = k + 16; j = w + 10; m = e + 7; l = o + 2; w = 4; y = f + 19; b = m + 16; o = w + 15; k = j + 2; x = y + 14; n = b + 6. Given that w = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 6", "y": "r + 15", "x": "y + 12", "l": "x + 1", "b": "l + 14", "n": "b + 6", "g": "j + 13", "d": "g + 13", "m": "d + 4", "k": "m + 13", "v": "k + 15", "u": "v + 2", "j": 8}, "premises": {"j": 8}, "target": "n"}, "answer": {"steps": [["b", "l + 14", "l + 20"], ["l", "x + 1", "x + 21"], ["x", "y + 12", "y + 33"], ["y", "r + 15", "r + 48"], ["r", "j + 6", "j + 54"], ["j", 8, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"j": 8}, "is_reverse": true}} | 21,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 6; k = m + 13; j = 8; d = g + 13; g = j + 13; m = d + 4; x = y + 12; b = l + 14; l = x + 1; u = v + 2; y = r + 15; v = k + 15; r = j + 6. If j = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 14 to n, which gives n = l + 20.\n2. Substitute l = x + 1 to n, which gives n = x + 21.\n3. Substitute x = y + 12 to n, which gives n = y + 33.\n4. Substitute y = r + 15 to n, which gives n = r + 48.\n5. Substitute r = j + 6 to n, which gives n = j + 54.\n6. Substitute j = 8 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 21134,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 6; k = m + 13; j = 8; d = g + 13; g = j + 13; m = d + 4; x = y + 12; b = l + 14; l = x + 1; u = v + 2; y = r + 15; v = k + 15; r = j + 6. If j = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 10", "i": "z + 11", "u": "i + 15", "m": "u + 16", "w": "m + 4", "g": "w + 11", "n": "q + 4", "o": "n + 13", "s": "o + 3", "f": "s + 19", "a": "f + 4", "x": "a + 18", "q": 14}, "premises": {"q": 14}, "target": "g"}, "answer": {"steps": [["w", "m + 4", "m + 15"], ["m", "u + 16", "u + 31"], ["u", "i + 15", "i + 46"], ["i", "z + 11", "z + 57"], ["z", "q + 10", "q + 67"], ["q", 14, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"q": 14}, "is_reverse": true}} | 21,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 16; u = i + 15; z = q + 10; a = f + 4; x = a + 18; o = n + 13; q = 14; f = s + 19; n = q + 4; w = m + 4; g = w + 11; i = z + 11; s = o + 3. Given that q = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 4 to g, which gives g = m + 15.\n2. Substitute m = u + 16 to g, which gives g = u + 31.\n3. Substitute u = i + 15 to g, which gives g = i + 46.\n4. Substitute i = z + 11 to g, which gives g = z + 57.\n5. Substitute z = q + 10 to g, which gives g = q + 67.\n6. Substitute q = 14 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 21135,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 16; u = i + 15; z = q + 10; a = f + 4; x = a + 18; o = n + 13; q = 14; f = s + 19; n = q + 4; w = m + 4; g = w + 11; i = z + 11; s = o + 3. Given that q = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 13", "d": "r + 11", "c": "d + 17", "j": "c + 18", "z": "j + 19", "a": "z + 19", "q": "u + 8", "m": "q + 10", "n": "m + 3", "v": "n + 12", "p": "v + 14", "b": "p + 18", "u": 9}, "premises": {"u": 9}, "target": "a"}, "answer": {"steps": [["z", "j + 19", "j + 38"], ["j", "c + 18", "c + 56"], ["c", "d + 17", "d + 73"], ["d", "r + 11", "r + 84"], ["r", "u + 13", "u + 97"], ["u", 9, "106"]], "target_var_name": "a", "target_value": 106, "value_dict": {"u": 9}, "is_reverse": true}} | 21,136 | 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 = m + 3; v = n + 12; c = d + 17; m = q + 10; a = z + 19; j = c + 18; u = 9; b = p + 18; q = u + 8; z = j + 19; d = r + 11; p = v + 14; r = u + 13. If u = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 19 to a, which gives a = j + 38.\n2. Substitute j = c + 18 to a, which gives a = c + 56.\n3. Substitute c = d + 17 to a, which gives a = d + 73.\n4. Substitute d = r + 11 to a, which gives a = r + 84.\n5. Substitute r = u + 13 to a, which gives a = u + 97.\n6. Substitute u = 9 to a, which gives a = 106.\n\nThus, the final answer is a = \\boxed{106}.",
"index": 21136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 3; v = n + 12; c = d + 17; m = q + 10; a = z + 19; j = c + 18; u = 9; b = p + 18; q = u + 8; z = j + 19; d = r + 11; p = v + 14; r = u + 13. If u = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 2", "v": "w + 7", "h": "v + 1", "g": "h + 12", "s": "g + 19", "x": "s + 1", "y": "f + 2", "i": "y + 15", "a": "i + 15", "t": "a + 11", "r": "t + 17", "c": "r + 16", "f": 16}, "premises": {"f": 16}, "target": "x"}, "answer": {"steps": [["s", "g + 19", "g + 20"], ["g", "h + 12", "h + 32"], ["h", "v + 1", "v + 33"], ["v", "w + 7", "w + 40"], ["w", "f + 2", "f + 42"], ["f", 16, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"f": 16}, "is_reverse": true}} | 21,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = s + 1; a = i + 15; c = r + 16; y = f + 2; s = g + 19; i = y + 15; w = f + 2; v = w + 7; f = 16; g = h + 12; h = v + 1; r = t + 17; t = a + 11. Given that f = 16, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 19 to x, which gives x = g + 20.\n2. Substitute g = h + 12 to x, which gives x = h + 32.\n3. Substitute h = v + 1 to x, which gives x = v + 33.\n4. Substitute v = w + 7 to x, which gives x = w + 40.\n5. Substitute w = f + 2 to x, which gives x = f + 42.\n6. Substitute f = 16 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 21137,
"question": "Suppose a collection of variables is related by the following definitions: x = s + 1; a = i + 15; c = r + 16; y = f + 2; s = g + 19; i = y + 15; w = f + 2; v = w + 7; f = 16; g = h + 12; h = v + 1; r = t + 17; t = a + 11. Given that f = 16, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 5", "t": "s + 19", "z": "t + 12", "r": "z + 1", "v": "r + 18", "o": "v + 13", "a": "j + 3", "n": "a + 4", "h": "n + 14", "q": "h + 11", "m": "q + 14", "e": "m + 2", "j": 14}, "premises": {"j": 14}, "target": "o"}, "answer": {"steps": [["v", "r + 18", "r + 31"], ["r", "z + 1", "z + 32"], ["z", "t + 12", "t + 44"], ["t", "s + 19", "s + 63"], ["s", "j + 5", "j + 68"], ["j", 14, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"j": 14}, "is_reverse": true}} | 21,138 | 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 = m + 2; a = j + 3; z = t + 12; n = a + 4; q = h + 11; v = r + 18; m = q + 14; o = v + 13; t = s + 19; r = z + 1; s = j + 5; j = 14; h = n + 14. If j = 14, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 18 to o, which gives o = r + 31.\n2. Substitute r = z + 1 to o, which gives o = z + 32.\n3. Substitute z = t + 12 to o, which gives o = t + 44.\n4. Substitute t = s + 19 to o, which gives o = s + 63.\n5. Substitute s = j + 5 to o, which gives o = j + 68.\n6. Substitute j = 14 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 21138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = m + 2; a = j + 3; z = t + 12; n = a + 4; q = h + 11; v = r + 18; m = q + 14; o = v + 13; t = s + 19; r = z + 1; s = j + 5; j = 14; h = n + 14. If j = 14, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 16", "o": "q + 10", "n": "o + 6", "y": "n + 5", "u": "y + 15", "b": "u + 20", "t": "s + 19", "h": "t + 7", "l": "h + 12", "a": "l + 3", "x": "a + 11", "p": "x + 13", "s": 12}, "premises": {"s": 12}, "target": "b"}, "answer": {"steps": [["u", "y + 15", "y + 35"], ["y", "n + 5", "n + 40"], ["n", "o + 6", "o + 46"], ["o", "q + 10", "q + 56"], ["q", "s + 16", "s + 72"], ["s", 12, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"s": 12}, "is_reverse": true}} | 21,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 12; t = s + 19; b = u + 20; p = x + 13; y = n + 5; x = a + 11; q = s + 16; u = y + 15; h = t + 7; o = q + 10; n = o + 6; s = 12; a = l + 3. If s = 12, determine the 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 u = y + 15 to b, which gives b = y + 35.\n2. Substitute y = n + 5 to b, which gives b = n + 40.\n3. Substitute n = o + 6 to b, which gives b = o + 46.\n4. Substitute o = q + 10 to b, which gives b = q + 56.\n5. Substitute q = s + 16 to b, which gives b = s + 72.\n6. Substitute s = 12 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 21139,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 12; t = s + 19; b = u + 20; p = x + 13; y = n + 5; x = a + 11; q = s + 16; u = y + 15; h = t + 7; o = q + 10; n = o + 6; s = 12; a = l + 3. If s = 12, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 9", "h": "c + 3", "p": "h + 2", "i": "p + 20", "e": "i + 20", "o": "e + 6", "l": "w + 13", "d": "l + 10", "y": "d + 12", "q": "y + 15", "j": "q + 7", "z": "j + 17", "w": 15}, "premises": {"w": 15}, "target": "o"}, "answer": {"steps": [["e", "i + 20", "i + 26"], ["i", "p + 20", "p + 46"], ["p", "h + 2", "h + 48"], ["h", "c + 3", "c + 51"], ["c", "w + 9", "w + 60"], ["w", 15, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"w": 15}, "is_reverse": true}} | 21,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 15; c = w + 9; y = d + 12; d = l + 10; l = w + 13; z = j + 17; j = q + 7; e = i + 20; p = h + 2; h = c + 3; w = 15; o = e + 6; i = p + 20. If w = 15, determine the value of o.",
"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 + 20 to o, which gives o = i + 26.\n2. Substitute i = p + 20 to o, which gives o = p + 46.\n3. Substitute p = h + 2 to o, which gives o = h + 48.\n4. Substitute h = c + 3 to o, which gives o = c + 51.\n5. Substitute c = w + 9 to o, which gives o = w + 60.\n6. Substitute w = 15 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 21140,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 15; c = w + 9; y = d + 12; d = l + 10; l = w + 13; z = j + 17; j = q + 7; e = i + 20; p = h + 2; h = c + 3; w = 15; o = e + 6; i = p + 20. If w = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 7", "c": "s + 10", "g": "c + 8", "t": "g + 3", "m": "t + 14", "y": "m + 20", "n": "r + 2", "p": "n + 17", "f": "p + 3", "k": "f + 2", "z": "k + 18", "v": "z + 10", "r": 1}, "premises": {"r": 1}, "target": "y"}, "answer": {"steps": [["m", "t + 14", "t + 34"], ["t", "g + 3", "g + 37"], ["g", "c + 8", "c + 45"], ["c", "s + 10", "s + 55"], ["s", "r + 7", "r + 62"], ["r", 1, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"r": 1}, "is_reverse": true}} | 21,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 1; v = z + 10; f = p + 3; g = c + 8; y = m + 20; s = r + 7; n = r + 2; c = s + 10; k = f + 2; t = g + 3; z = k + 18; p = n + 17; m = t + 14. Given that r = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 14 to y, which gives y = t + 34.\n2. Substitute t = g + 3 to y, which gives y = g + 37.\n3. Substitute g = c + 8 to y, which gives y = c + 45.\n4. Substitute c = s + 10 to y, which gives y = s + 55.\n5. Substitute s = r + 7 to y, which gives y = r + 62.\n6. Substitute r = 1 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 21141,
"question": "Suppose a collection of variables is related by the following definitions: r = 1; v = z + 10; f = p + 3; g = c + 8; y = m + 20; s = r + 7; n = r + 2; c = s + 10; k = f + 2; t = g + 3; z = k + 18; p = n + 17; m = t + 14. Given that r = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 10", "w": "e + 13", "g": "w + 7", "a": "g + 3", "l": "a + 2", "v": "l + 19", "b": "d + 13", "z": "b + 6", "k": "z + 16", "p": "k + 5", "q": "p + 14", "h": "q + 20", "d": 6}, "premises": {"d": 6}, "target": "v"}, "answer": {"steps": [["l", "a + 2", "a + 21"], ["a", "g + 3", "g + 24"], ["g", "w + 7", "w + 31"], ["w", "e + 13", "e + 44"], ["e", "d + 10", "d + 54"], ["d", 6, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"d": 6}, "is_reverse": true}} | 21,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 3; q = p + 14; z = b + 6; v = l + 19; d = 6; b = d + 13; g = w + 7; l = a + 2; k = z + 16; w = e + 13; h = q + 20; e = d + 10; p = k + 5. If d = 6, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 2 to v, which gives v = a + 21.\n2. Substitute a = g + 3 to v, which gives v = g + 24.\n3. Substitute g = w + 7 to v, which gives v = w + 31.\n4. Substitute w = e + 13 to v, which gives v = e + 44.\n5. Substitute e = d + 10 to v, which gives v = d + 54.\n6. Substitute d = 6 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 21142,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 3; q = p + 14; z = b + 6; v = l + 19; d = 6; b = d + 13; g = w + 7; l = a + 2; k = z + 16; w = e + 13; h = q + 20; e = d + 10; p = k + 5. If d = 6, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 11", "d": "w + 11", "a": "d + 5", "b": "a + 6", "i": "b + 8", "o": "i + 11", "p": "c + 11", "u": "p + 5", "m": "u + 4", "y": "m + 6", "r": "y + 12", "v": "r + 1", "c": 8}, "premises": {"c": 8}, "target": "o"}, "answer": {"steps": [["i", "b + 8", "b + 19"], ["b", "a + 6", "a + 25"], ["a", "d + 5", "d + 30"], ["d", "w + 11", "w + 41"], ["w", "c + 11", "c + 52"], ["c", 8, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"c": 8}, "is_reverse": true}} | 21,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 11; b = a + 6; w = c + 11; u = p + 5; a = d + 5; y = m + 6; m = u + 4; o = i + 11; c = 8; v = r + 1; r = y + 12; i = b + 8; p = c + 11. If c = 8, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 8 to o, which gives o = b + 19.\n2. Substitute b = a + 6 to o, which gives o = a + 25.\n3. Substitute a = d + 5 to o, which gives o = d + 30.\n4. Substitute d = w + 11 to o, which gives o = w + 41.\n5. Substitute w = c + 11 to o, which gives o = c + 52.\n6. Substitute c = 8 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 21143,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 11; b = a + 6; w = c + 11; u = p + 5; a = d + 5; y = m + 6; m = u + 4; o = i + 11; c = 8; v = r + 1; r = y + 12; i = b + 8; p = c + 11. If c = 8, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 2", "m": "b + 8", "f": "m + 3", "r": "f + 19", "v": "r + 3", "y": "v + 16", "h": "n + 9", "u": "h + 20", "z": "u + 18", "j": "z + 8", "k": "j + 16", "p": "k + 13", "n": 1}, "premises": {"n": 1}, "target": "y"}, "answer": {"steps": [["v", "r + 3", "r + 19"], ["r", "f + 19", "f + 38"], ["f", "m + 3", "m + 41"], ["m", "b + 8", "b + 49"], ["b", "n + 2", "n + 51"], ["n", 1, "52"]], "target_var_name": "y", "target_value": 52, "value_dict": {"n": 1}, "is_reverse": true}} | 21,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 3; b = n + 2; u = h + 20; k = j + 16; r = f + 19; j = z + 8; v = r + 3; h = n + 9; p = k + 13; z = u + 18; y = v + 16; n = 1; m = b + 8. Given that n = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 3 to y, which gives y = r + 19.\n2. Substitute r = f + 19 to y, which gives y = f + 38.\n3. Substitute f = m + 3 to y, which gives y = m + 41.\n4. Substitute m = b + 8 to y, which gives y = b + 49.\n5. Substitute b = n + 2 to y, which gives y = n + 51.\n6. Substitute n = 1 to y, which gives y = 52.\n\nThus, the final answer is y = \\boxed{52}.",
"index": 21144,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 3; b = n + 2; u = h + 20; k = j + 16; r = f + 19; j = z + 8; v = r + 3; h = n + 9; p = k + 13; z = u + 18; y = v + 16; n = 1; m = b + 8. Given that n = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 3", "n": "a + 11", "h": "n + 1", "s": "h + 15", "d": "s + 3", "t": "d + 8", "v": "g + 2", "o": "v + 17", "w": "o + 5", "i": "w + 9", "k": "i + 18", "x": "k + 8", "g": 17}, "premises": {"g": 17}, "target": "t"}, "answer": {"steps": [["d", "s + 3", "s + 11"], ["s", "h + 15", "h + 26"], ["h", "n + 1", "n + 27"], ["n", "a + 11", "a + 38"], ["a", "g + 3", "g + 41"], ["g", 17, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"g": 17}, "is_reverse": true}} | 21,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = s + 3; o = v + 17; w = o + 5; a = g + 3; g = 17; s = h + 15; h = n + 1; t = d + 8; x = k + 8; i = w + 9; k = i + 18; n = a + 11; v = g + 2. If g = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 3 to t, which gives t = s + 11.\n2. Substitute s = h + 15 to t, which gives t = h + 26.\n3. Substitute h = n + 1 to t, which gives t = n + 27.\n4. Substitute n = a + 11 to t, which gives t = a + 38.\n5. Substitute a = g + 3 to t, which gives t = g + 41.\n6. Substitute g = 17 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 21145,
"question": "Consider a system of variables where each variable is defined as follows: d = s + 3; o = v + 17; w = o + 5; a = g + 3; g = 17; s = h + 15; h = n + 1; t = d + 8; x = k + 8; i = w + 9; k = i + 18; n = a + 11; v = g + 2. If g = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 7", "u": "h + 4", "f": "u + 2", "d": "f + 4", "i": "d + 17", "w": "i + 1", "y": "r + 3", "p": "y + 15", "l": "p + 19", "q": "l + 13", "v": "q + 17", "g": "v + 16", "r": 10}, "premises": {"r": 10}, "target": "w"}, "answer": {"steps": [["i", "d + 17", "d + 18"], ["d", "f + 4", "f + 22"], ["f", "u + 2", "u + 24"], ["u", "h + 4", "h + 28"], ["h", "r + 7", "r + 35"], ["r", 10, "45"]], "target_var_name": "w", "target_value": 45, "value_dict": {"r": 10}, "is_reverse": true}} | 21,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 13; v = q + 17; u = h + 4; y = r + 3; l = p + 19; i = d + 17; f = u + 2; w = i + 1; r = 10; p = y + 15; d = f + 4; h = r + 7; g = v + 16. Given that r = 10, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 17 to w, which gives w = d + 18.\n2. Substitute d = f + 4 to w, which gives w = f + 22.\n3. Substitute f = u + 2 to w, which gives w = u + 24.\n4. Substitute u = h + 4 to w, which gives w = h + 28.\n5. Substitute h = r + 7 to w, which gives w = r + 35.\n6. Substitute r = 10 to w, which gives w = 45.\n\nThus, the final answer is w = \\boxed{45}.",
"index": 21146,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 13; v = q + 17; u = h + 4; y = r + 3; l = p + 19; i = d + 17; f = u + 2; w = i + 1; r = 10; p = y + 15; d = f + 4; h = r + 7; g = v + 16. Given that r = 10, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 8", "h": "t + 3", "a": "h + 10", "l": "a + 19", "n": "l + 11", "p": "n + 9", "e": "g + 16", "c": "e + 10", "y": "c + 4", "r": "y + 7", "d": "r + 1", "z": "d + 1", "g": 18}, "premises": {"g": 18}, "target": "p"}, "answer": {"steps": [["n", "l + 11", "l + 20"], ["l", "a + 19", "a + 39"], ["a", "h + 10", "h + 49"], ["h", "t + 3", "t + 52"], ["t", "g + 8", "g + 60"], ["g", 18, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"g": 18}, "is_reverse": true}} | 21,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 3; n = l + 11; a = h + 10; e = g + 16; r = y + 7; d = r + 1; l = a + 19; c = e + 10; p = n + 9; g = 18; y = c + 4; t = g + 8; z = d + 1. If g = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 11 to p, which gives p = l + 20.\n2. Substitute l = a + 19 to p, which gives p = a + 39.\n3. Substitute a = h + 10 to p, which gives p = h + 49.\n4. Substitute h = t + 3 to p, which gives p = t + 52.\n5. Substitute t = g + 8 to p, which gives p = g + 60.\n6. Substitute g = 18 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 21147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 3; n = l + 11; a = h + 10; e = g + 16; r = y + 7; d = r + 1; l = a + 19; c = e + 10; p = n + 9; g = 18; y = c + 4; t = g + 8; z = d + 1. If g = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 6", "p": "h + 16", "l": "p + 17", "f": "l + 7", "a": "f + 2", "e": "a + 17", "b": "w + 16", "o": "b + 3", "z": "o + 15", "s": "z + 16", "n": "s + 15", "k": "n + 6", "w": 12}, "premises": {"w": 12}, "target": "e"}, "answer": {"steps": [["a", "f + 2", "f + 19"], ["f", "l + 7", "l + 26"], ["l", "p + 17", "p + 43"], ["p", "h + 16", "h + 59"], ["h", "w + 6", "w + 65"], ["w", 12, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"w": 12}, "is_reverse": true}} | 21,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 6; o = b + 3; b = w + 16; k = n + 6; f = l + 7; s = z + 16; w = 12; l = p + 17; a = f + 2; p = h + 16; n = s + 15; z = o + 15; e = a + 17. If w = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 2 to e, which gives e = f + 19.\n2. Substitute f = l + 7 to e, which gives e = l + 26.\n3. Substitute l = p + 17 to e, which gives e = p + 43.\n4. Substitute p = h + 16 to e, which gives e = h + 59.\n5. Substitute h = w + 6 to e, which gives e = w + 65.\n6. Substitute w = 12 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 21148,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 6; o = b + 3; b = w + 16; k = n + 6; f = l + 7; s = z + 16; w = 12; l = p + 17; a = f + 2; p = h + 16; n = s + 15; z = o + 15; e = a + 17. If w = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 19", "o": "k + 11", "f": "o + 12", "l": "f + 7", "e": "l + 3", "c": "e + 13", "b": "a + 8", "s": "b + 7", "m": "s + 12", "v": "m + 3", "i": "v + 11", "h": "i + 15", "a": 10}, "premises": {"a": 10}, "target": "c"}, "answer": {"steps": [["e", "l + 3", "l + 16"], ["l", "f + 7", "f + 23"], ["f", "o + 12", "o + 35"], ["o", "k + 11", "k + 46"], ["k", "a + 19", "a + 65"], ["a", 10, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"a": 10}, "is_reverse": true}} | 21,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 10; k = a + 19; m = s + 12; v = m + 3; o = k + 11; h = i + 15; c = e + 13; b = a + 8; e = l + 3; f = o + 12; l = f + 7; s = b + 7; i = v + 11. If a = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 3 to c, which gives c = l + 16.\n2. Substitute l = f + 7 to c, which gives c = f + 23.\n3. Substitute f = o + 12 to c, which gives c = o + 35.\n4. Substitute o = k + 11 to c, which gives c = k + 46.\n5. Substitute k = a + 19 to c, which gives c = a + 65.\n6. Substitute a = 10 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 21149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 10; k = a + 19; m = s + 12; v = m + 3; o = k + 11; h = i + 15; c = e + 13; b = a + 8; e = l + 3; f = o + 12; l = f + 7; s = b + 7; i = v + 11. If a = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 5", "b": "x + 16", "r": "b + 16", "i": "r + 2", "k": "i + 17", "p": "k + 2", "g": "u + 14", "f": "g + 3", "s": "f + 4", "t": "s + 17", "h": "t + 1", "d": "h + 10", "u": 15}, "premises": {"u": 15}, "target": "p"}, "answer": {"steps": [["k", "i + 17", "i + 19"], ["i", "r + 2", "r + 21"], ["r", "b + 16", "b + 37"], ["b", "x + 16", "x + 53"], ["x", "u + 5", "u + 58"], ["u", 15, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"u": 15}, "is_reverse": true}} | 21,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 17; x = u + 5; k = i + 17; f = g + 3; b = x + 16; r = b + 16; p = k + 2; g = u + 14; h = t + 1; u = 15; d = h + 10; s = f + 4; i = r + 2. Given that u = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 17 to p, which gives p = i + 19.\n2. Substitute i = r + 2 to p, which gives p = r + 21.\n3. Substitute r = b + 16 to p, which gives p = b + 37.\n4. Substitute b = x + 16 to p, which gives p = x + 53.\n5. Substitute x = u + 5 to p, which gives p = u + 58.\n6. Substitute u = 15 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 21150,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 17; x = u + 5; k = i + 17; f = g + 3; b = x + 16; r = b + 16; p = k + 2; g = u + 14; h = t + 1; u = 15; d = h + 10; s = f + 4; i = r + 2. Given that u = 15, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 13", "t": "z + 6", "u": "t + 6", "p": "u + 5", "x": "p + 16", "k": "x + 11", "a": "v + 7", "o": "a + 18", "q": "o + 7", "r": "q + 6", "d": "r + 9", "i": "d + 4", "v": 14}, "premises": {"v": 14}, "target": "k"}, "answer": {"steps": [["x", "p + 16", "p + 27"], ["p", "u + 5", "u + 32"], ["u", "t + 6", "t + 38"], ["t", "z + 6", "z + 44"], ["z", "v + 13", "v + 57"], ["v", 14, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"v": 14}, "is_reverse": true}} | 21,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 9; a = v + 7; q = o + 7; t = z + 6; z = v + 13; k = x + 11; v = 14; u = t + 6; i = d + 4; x = p + 16; r = q + 6; o = a + 18; p = u + 5. If v = 14, determine 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 x = p + 16 to k, which gives k = p + 27.\n2. Substitute p = u + 5 to k, which gives k = u + 32.\n3. Substitute u = t + 6 to k, which gives k = t + 38.\n4. Substitute t = z + 6 to k, which gives k = z + 44.\n5. Substitute z = v + 13 to k, which gives k = v + 57.\n6. Substitute v = 14 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 21151,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 9; a = v + 7; q = o + 7; t = z + 6; z = v + 13; k = x + 11; v = 14; u = t + 6; i = d + 4; x = p + 16; r = q + 6; o = a + 18; p = u + 5. If v = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 1", "h": "j + 9", "v": "h + 2", "p": "v + 19", "c": "p + 9", "a": "c + 15", "m": "d + 1", "e": "m + 4", "k": "e + 17", "w": "k + 3", "x": "w + 6", "b": "x + 2", "d": 15}, "premises": {"d": 15}, "target": "a"}, "answer": {"steps": [["c", "p + 9", "p + 24"], ["p", "v + 19", "v + 43"], ["v", "h + 2", "h + 45"], ["h", "j + 9", "j + 54"], ["j", "d + 1", "d + 55"], ["d", 15, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"d": 15}, "is_reverse": true}} | 21,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 1; v = h + 2; h = j + 9; w = k + 3; k = e + 17; b = x + 2; e = m + 4; a = c + 15; d = 15; c = p + 9; x = w + 6; m = d + 1; p = v + 19. If d = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 9 to a, which gives a = p + 24.\n2. Substitute p = v + 19 to a, which gives a = v + 43.\n3. Substitute v = h + 2 to a, which gives a = h + 45.\n4. Substitute h = j + 9 to a, which gives a = j + 54.\n5. Substitute j = d + 1 to a, which gives a = d + 55.\n6. Substitute d = 15 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 21152,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 1; v = h + 2; h = j + 9; w = k + 3; k = e + 17; b = x + 2; e = m + 4; a = c + 15; d = 15; c = p + 9; x = w + 6; m = d + 1; p = v + 19. If d = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 15", "c": "y + 4", "x": "c + 18", "e": "x + 16", "i": "e + 6", "v": "i + 14", "k": "n + 10", "l": "k + 12", "w": "l + 1", "r": "w + 16", "m": "r + 12", "d": "m + 7", "n": 6}, "premises": {"n": 6}, "target": "v"}, "answer": {"steps": [["i", "e + 6", "e + 20"], ["e", "x + 16", "x + 36"], ["x", "c + 18", "c + 54"], ["c", "y + 4", "y + 58"], ["y", "n + 15", "n + 73"], ["n", 6, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"n": 6}, "is_reverse": true}} | 21,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 14; w = l + 1; y = n + 15; i = e + 6; l = k + 12; d = m + 7; r = w + 16; m = r + 12; c = y + 4; e = x + 16; x = c + 18; n = 6; k = n + 10. If n = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 6 to v, which gives v = e + 20.\n2. Substitute e = x + 16 to v, which gives v = x + 36.\n3. Substitute x = c + 18 to v, which gives v = c + 54.\n4. Substitute c = y + 4 to v, which gives v = y + 58.\n5. Substitute y = n + 15 to v, which gives v = n + 73.\n6. Substitute n = 6 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 21153,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 14; w = l + 1; y = n + 15; i = e + 6; l = k + 12; d = m + 7; r = w + 16; m = r + 12; c = y + 4; e = x + 16; x = c + 18; n = 6; k = n + 10. If n = 6, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 13", "q": "m + 5", "z": "q + 17", "g": "z + 4", "o": "g + 13", "r": "o + 19", "j": "e + 11", "f": "j + 20", "n": "f + 2", "h": "n + 16", "i": "h + 4", "w": "i + 19", "e": 4}, "premises": {"e": 4}, "target": "r"}, "answer": {"steps": [["o", "g + 13", "g + 32"], ["g", "z + 4", "z + 36"], ["z", "q + 17", "q + 53"], ["q", "m + 5", "m + 58"], ["m", "e + 13", "e + 71"], ["e", 4, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"e": 4}, "is_reverse": true}} | 21,154 | 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 = e + 13; z = q + 17; w = i + 19; n = f + 2; r = o + 19; g = z + 4; o = g + 13; h = n + 16; j = e + 11; f = j + 20; e = 4; q = m + 5; i = h + 4. If e = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 13 to r, which gives r = g + 32.\n2. Substitute g = z + 4 to r, which gives r = z + 36.\n3. Substitute z = q + 17 to r, which gives r = q + 53.\n4. Substitute q = m + 5 to r, which gives r = m + 58.\n5. Substitute m = e + 13 to r, which gives r = e + 71.\n6. Substitute e = 4 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 21154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 13; z = q + 17; w = i + 19; n = f + 2; r = o + 19; g = z + 4; o = g + 13; h = n + 16; j = e + 11; f = j + 20; e = 4; q = m + 5; i = h + 4. If e = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 6", "f": "a + 10", "p": "f + 8", "q": "p + 2", "d": "q + 10", "k": "d + 16", "n": "r + 19", "h": "n + 17", "c": "h + 10", "g": "c + 4", "l": "g + 1", "y": "l + 10", "r": 16}, "premises": {"r": 16}, "target": "k"}, "answer": {"steps": [["d", "q + 10", "q + 26"], ["q", "p + 2", "p + 28"], ["p", "f + 8", "f + 36"], ["f", "a + 10", "a + 46"], ["a", "r + 6", "r + 52"], ["r", 16, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"r": 16}, "is_reverse": true}} | 21,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 6; d = q + 10; p = f + 8; h = n + 17; f = a + 10; g = c + 4; n = r + 19; l = g + 1; q = p + 2; y = l + 10; c = h + 10; r = 16; k = d + 16. If r = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 10 to k, which gives k = q + 26.\n2. Substitute q = p + 2 to k, which gives k = p + 28.\n3. Substitute p = f + 8 to k, which gives k = f + 36.\n4. Substitute f = a + 10 to k, which gives k = a + 46.\n5. Substitute a = r + 6 to k, which gives k = r + 52.\n6. Substitute r = 16 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 21155,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 6; d = q + 10; p = f + 8; h = n + 17; f = a + 10; g = c + 4; n = r + 19; l = g + 1; q = p + 2; y = l + 10; c = h + 10; r = 16; k = d + 16. If r = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 12", "l": "k + 2", "c": "l + 10", "p": "c + 17", "t": "p + 1", "a": "t + 8", "y": "z + 6", "s": "y + 11", "f": "s + 2", "e": "f + 13", "g": "e + 3", "m": "g + 1", "z": 7}, "premises": {"z": 7}, "target": "a"}, "answer": {"steps": [["t", "p + 1", "p + 9"], ["p", "c + 17", "c + 26"], ["c", "l + 10", "l + 36"], ["l", "k + 2", "k + 38"], ["k", "z + 12", "z + 50"], ["z", 7, "57"]], "target_var_name": "a", "target_value": 57, "value_dict": {"z": 7}, "is_reverse": true}} | 21,156 | 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 = z + 6; l = k + 2; k = z + 12; m = g + 1; g = e + 3; f = s + 2; z = 7; c = l + 10; a = t + 8; t = p + 1; e = f + 13; s = y + 11; p = c + 17. If z = 7, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 1 to a, which gives a = p + 9.\n2. Substitute p = c + 17 to a, which gives a = c + 26.\n3. Substitute c = l + 10 to a, which gives a = l + 36.\n4. Substitute l = k + 2 to a, which gives a = k + 38.\n5. Substitute k = z + 12 to a, which gives a = z + 50.\n6. Substitute z = 7 to a, which gives a = 57.\n\nThus, the final answer is a = \\boxed{57}.",
"index": 21156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 6; l = k + 2; k = z + 12; m = g + 1; g = e + 3; f = s + 2; z = 7; c = l + 10; a = t + 8; t = p + 1; e = f + 13; s = y + 11; p = c + 17. If z = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 12", "j": "z + 14", "r": "j + 7", "w": "r + 14", "d": "w + 10", "a": "d + 16", "g": "m + 8", "u": "g + 4", "h": "u + 15", "q": "h + 7", "l": "q + 14", "f": "l + 7", "m": 17}, "premises": {"m": 17}, "target": "a"}, "answer": {"steps": [["d", "w + 10", "w + 26"], ["w", "r + 14", "r + 40"], ["r", "j + 7", "j + 47"], ["j", "z + 14", "z + 61"], ["z", "m + 12", "m + 73"], ["m", 17, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"m": 17}, "is_reverse": true}} | 21,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = l + 7; l = q + 14; w = r + 14; h = u + 15; m = 17; g = m + 8; j = z + 14; q = h + 7; u = g + 4; z = m + 12; a = d + 16; d = w + 10; r = j + 7. Given that m = 17, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 10 to a, which gives a = w + 26.\n2. Substitute w = r + 14 to a, which gives a = r + 40.\n3. Substitute r = j + 7 to a, which gives a = j + 47.\n4. Substitute j = z + 14 to a, which gives a = z + 61.\n5. Substitute z = m + 12 to a, which gives a = m + 73.\n6. Substitute m = 17 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 21157,
"question": "Suppose a collection of variables is related by the following definitions: f = l + 7; l = q + 14; w = r + 14; h = u + 15; m = 17; g = m + 8; j = z + 14; q = h + 7; u = g + 4; z = m + 12; a = d + 16; d = w + 10; r = j + 7. Given that m = 17, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 12", "c": "o + 17", "m": "c + 17", "a": "m + 19", "j": "a + 3", "g": "j + 8", "k": "q + 14", "w": "k + 5", "s": "w + 4", "n": "s + 1", "r": "n + 11", "v": "r + 17", "q": 11}, "premises": {"q": 11}, "target": "g"}, "answer": {"steps": [["j", "a + 3", "a + 11"], ["a", "m + 19", "m + 30"], ["m", "c + 17", "c + 47"], ["c", "o + 17", "o + 64"], ["o", "q + 12", "q + 76"], ["q", 11, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"q": 11}, "is_reverse": true}} | 21,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 17; o = q + 12; g = j + 8; w = k + 5; k = q + 14; q = 11; j = a + 3; a = m + 19; n = s + 1; m = c + 17; r = n + 11; c = o + 17; s = w + 4. If q = 11, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 3 to g, which gives g = a + 11.\n2. Substitute a = m + 19 to g, which gives g = m + 30.\n3. Substitute m = c + 17 to g, which gives g = c + 47.\n4. Substitute c = o + 17 to g, which gives g = o + 64.\n5. Substitute o = q + 12 to g, which gives g = q + 76.\n6. Substitute q = 11 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 21158,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 17; o = q + 12; g = j + 8; w = k + 5; k = q + 14; q = 11; j = a + 3; a = m + 19; n = s + 1; m = c + 17; r = n + 11; c = o + 17; s = w + 4. If q = 11, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 12", "f": "z + 13", "x": "f + 1", "p": "x + 13", "q": "p + 20", "j": "q + 9", "r": "b + 14", "t": "r + 8", "n": "t + 17", "v": "n + 6", "s": "v + 1", "o": "s + 2", "b": 20}, "premises": {"b": 20}, "target": "j"}, "answer": {"steps": [["q", "p + 20", "p + 29"], ["p", "x + 13", "x + 42"], ["x", "f + 1", "f + 43"], ["f", "z + 13", "z + 56"], ["z", "b + 12", "b + 68"], ["b", 20, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"b": 20}, "is_reverse": true}} | 21,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 6; n = t + 17; t = r + 8; f = z + 13; z = b + 12; x = f + 1; s = v + 1; b = 20; p = x + 13; j = q + 9; q = p + 20; o = s + 2; r = b + 14. If b = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 20 to j, which gives j = p + 29.\n2. Substitute p = x + 13 to j, which gives j = x + 42.\n3. Substitute x = f + 1 to j, which gives j = f + 43.\n4. Substitute f = z + 13 to j, which gives j = z + 56.\n5. Substitute z = b + 12 to j, which gives j = b + 68.\n6. Substitute b = 20 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 21159,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 6; n = t + 17; t = r + 8; f = z + 13; z = b + 12; x = f + 1; s = v + 1; b = 20; p = x + 13; j = q + 9; q = p + 20; o = s + 2; r = b + 14. If b = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 4", "m": "b + 17", "x": "m + 9", "p": "x + 15", "y": "p + 3", "f": "y + 20", "g": "k + 20", "h": "g + 20", "q": "h + 19", "i": "q + 17", "w": "i + 5", "e": "w + 9", "k": 2}, "premises": {"k": 2}, "target": "f"}, "answer": {"steps": [["y", "p + 3", "p + 23"], ["p", "x + 15", "x + 38"], ["x", "m + 9", "m + 47"], ["m", "b + 17", "b + 64"], ["b", "k + 4", "k + 68"], ["k", 2, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"k": 2}, "is_reverse": true}} | 21,160 | 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 = y + 20; m = b + 17; x = m + 9; p = x + 15; h = g + 20; q = h + 19; w = i + 5; i = q + 17; k = 2; g = k + 20; e = w + 9; y = p + 3; b = k + 4. If k = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 3 to f, which gives f = p + 23.\n2. Substitute p = x + 15 to f, which gives f = x + 38.\n3. Substitute x = m + 9 to f, which gives f = m + 47.\n4. Substitute m = b + 17 to f, which gives f = b + 64.\n5. Substitute b = k + 4 to f, which gives f = k + 68.\n6. Substitute k = 2 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 21160,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 20; m = b + 17; x = m + 9; p = x + 15; h = g + 20; q = h + 19; w = i + 5; i = q + 17; k = 2; g = k + 20; e = w + 9; y = p + 3; b = k + 4. If k = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 3", "g": "k + 12", "x": "g + 4", "h": "x + 14", "o": "h + 7", "c": "o + 18", "w": "d + 19", "m": "w + 13", "q": "m + 6", "t": "q + 5", "z": "t + 5", "v": "z + 17", "d": 9}, "premises": {"d": 9}, "target": "c"}, "answer": {"steps": [["o", "h + 7", "h + 25"], ["h", "x + 14", "x + 39"], ["x", "g + 4", "g + 43"], ["g", "k + 12", "k + 55"], ["k", "d + 3", "d + 58"], ["d", 9, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"d": 9}, "is_reverse": true}} | 21,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 4; t = q + 5; v = z + 17; c = o + 18; o = h + 7; m = w + 13; z = t + 5; h = x + 14; g = k + 12; d = 9; w = d + 19; q = m + 6; k = d + 3. If d = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = h + 7 to c, which gives c = h + 25.\n2. Substitute h = x + 14 to c, which gives c = x + 39.\n3. Substitute x = g + 4 to c, which gives c = g + 43.\n4. Substitute g = k + 12 to c, which gives c = k + 55.\n5. Substitute k = d + 3 to c, which gives c = d + 58.\n6. Substitute d = 9 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 21161,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 4; t = q + 5; v = z + 17; c = o + 18; o = h + 7; m = w + 13; z = t + 5; h = x + 14; g = k + 12; d = 9; w = d + 19; q = m + 6; k = d + 3. If d = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 6", "u": "t + 18", "n": "u + 3", "o": "n + 5", "e": "o + 19", "b": "e + 16", "d": "i + 1", "k": "d + 5", "a": "k + 8", "x": "a + 14", "p": "x + 3", "r": "p + 16", "i": 16}, "premises": {"i": 16}, "target": "b"}, "answer": {"steps": [["e", "o + 19", "o + 35"], ["o", "n + 5", "n + 40"], ["n", "u + 3", "u + 43"], ["u", "t + 18", "t + 61"], ["t", "i + 6", "i + 67"], ["i", 16, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"i": 16}, "is_reverse": true}} | 21,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 5; i = 16; d = i + 1; n = u + 3; b = e + 16; e = o + 19; t = i + 6; a = k + 8; x = a + 14; r = p + 16; u = t + 18; p = x + 3; k = d + 5. Given that i = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 19 to b, which gives b = o + 35.\n2. Substitute o = n + 5 to b, which gives b = n + 40.\n3. Substitute n = u + 3 to b, which gives b = u + 43.\n4. Substitute u = t + 18 to b, which gives b = t + 61.\n5. Substitute t = i + 6 to b, which gives b = i + 67.\n6. Substitute i = 16 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 21162,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 5; i = 16; d = i + 1; n = u + 3; b = e + 16; e = o + 19; t = i + 6; a = k + 8; x = a + 14; r = p + 16; u = t + 18; p = x + 3; k = d + 5. Given that i = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 13", "m": "q + 20", "y": "m + 2", "b": "y + 5", "x": "b + 11", "p": "x + 15", "t": "d + 9", "w": "t + 6", "a": "w + 13", "f": "a + 12", "e": "f + 3", "s": "e + 13", "d": 4}, "premises": {"d": 4}, "target": "p"}, "answer": {"steps": [["x", "b + 11", "b + 26"], ["b", "y + 5", "y + 31"], ["y", "m + 2", "m + 33"], ["m", "q + 20", "q + 53"], ["q", "d + 13", "d + 66"], ["d", 4, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"d": 4}, "is_reverse": true}} | 21,163 | 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 = d + 13; a = w + 13; x = b + 11; p = x + 15; m = q + 20; s = e + 13; t = d + 9; y = m + 2; b = y + 5; e = f + 3; w = t + 6; f = a + 12; d = 4. If d = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 11 to p, which gives p = b + 26.\n2. Substitute b = y + 5 to p, which gives p = y + 31.\n3. Substitute y = m + 2 to p, which gives p = m + 33.\n4. Substitute m = q + 20 to p, which gives p = q + 53.\n5. Substitute q = d + 13 to p, which gives p = d + 66.\n6. Substitute d = 4 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 21163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 13; a = w + 13; x = b + 11; p = x + 15; m = q + 20; s = e + 13; t = d + 9; y = m + 2; b = y + 5; e = f + 3; w = t + 6; f = a + 12; d = 4. If d = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 3", "l": "f + 20", "i": "l + 15", "c": "i + 4", "g": "c + 2", "d": "g + 11", "a": "h + 14", "m": "a + 18", "z": "m + 7", "y": "z + 17", "n": "y + 5", "j": "n + 4", "h": 8}, "premises": {"h": 8}, "target": "d"}, "answer": {"steps": [["g", "c + 2", "c + 13"], ["c", "i + 4", "i + 17"], ["i", "l + 15", "l + 32"], ["l", "f + 20", "f + 52"], ["f", "h + 3", "h + 55"], ["h", 8, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"h": 8}, "is_reverse": true}} | 21,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 15; j = n + 4; h = 8; n = y + 5; d = g + 11; m = a + 18; z = m + 7; a = h + 14; y = z + 17; g = c + 2; l = f + 20; c = i + 4; f = h + 3. If h = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 2 to d, which gives d = c + 13.\n2. Substitute c = i + 4 to d, which gives d = i + 17.\n3. Substitute i = l + 15 to d, which gives d = l + 32.\n4. Substitute l = f + 20 to d, which gives d = f + 52.\n5. Substitute f = h + 3 to d, which gives d = h + 55.\n6. Substitute h = 8 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 21164,
"question": "Consider a system of variables where each variable is defined as follows: i = l + 15; j = n + 4; h = 8; n = y + 5; d = g + 11; m = a + 18; z = m + 7; a = h + 14; y = z + 17; g = c + 2; l = f + 20; c = i + 4; f = h + 3. If h = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 17", "a": "o + 12", "c": "a + 14", "v": "c + 11", "q": "v + 2", "u": "q + 20", "m": "y + 2", "e": "m + 15", "k": "e + 17", "h": "k + 6", "j": "h + 5", "x": "j + 7", "y": 18}, "premises": {"y": 18}, "target": "u"}, "answer": {"steps": [["q", "v + 2", "v + 22"], ["v", "c + 11", "c + 33"], ["c", "a + 14", "a + 47"], ["a", "o + 12", "o + 59"], ["o", "y + 17", "y + 76"], ["y", 18, "94"]], "target_var_name": "u", "target_value": 94, "value_dict": {"y": 18}, "is_reverse": true}} | 21,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 15; m = y + 2; a = o + 12; h = k + 6; j = h + 5; k = e + 17; c = a + 14; u = q + 20; x = j + 7; q = v + 2; o = y + 17; v = c + 11; y = 18. If y = 18, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 2 to u, which gives u = v + 22.\n2. Substitute v = c + 11 to u, which gives u = c + 33.\n3. Substitute c = a + 14 to u, which gives u = a + 47.\n4. Substitute a = o + 12 to u, which gives u = o + 59.\n5. Substitute o = y + 17 to u, which gives u = y + 76.\n6. Substitute y = 18 to u, which gives u = 94.\n\nThus, the final answer is u = \\boxed{94}.",
"index": 21165,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 15; m = y + 2; a = o + 12; h = k + 6; j = h + 5; k = e + 17; c = a + 14; u = q + 20; x = j + 7; q = v + 2; o = y + 17; v = c + 11; y = 18. If y = 18, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 5", "w": "h + 10", "d": "w + 13", "c": "d + 1", "r": "c + 4", "g": "r + 1", "x": "j + 15", "t": "x + 9", "e": "t + 10", "m": "e + 16", "p": "m + 9", "z": "p + 9", "j": 12}, "premises": {"j": 12}, "target": "g"}, "answer": {"steps": [["r", "c + 4", "c + 5"], ["c", "d + 1", "d + 6"], ["d", "w + 13", "w + 19"], ["w", "h + 10", "h + 29"], ["h", "j + 5", "j + 34"], ["j", 12, "46"]], "target_var_name": "g", "target_value": 46, "value_dict": {"j": 12}, "is_reverse": true}} | 21,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 9; c = d + 1; m = e + 16; g = r + 1; w = h + 10; j = 12; p = m + 9; d = w + 13; t = x + 9; h = j + 5; e = t + 10; r = c + 4; x = j + 15. Given that j = 12, find 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 r = c + 4 to g, which gives g = c + 5.\n2. Substitute c = d + 1 to g, which gives g = d + 6.\n3. Substitute d = w + 13 to g, which gives g = w + 19.\n4. Substitute w = h + 10 to g, which gives g = h + 29.\n5. Substitute h = j + 5 to g, which gives g = j + 34.\n6. Substitute j = 12 to g, which gives g = 46.\n\nThus, the final answer is g = \\boxed{46}.",
"index": 21166,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 9; c = d + 1; m = e + 16; g = r + 1; w = h + 10; j = 12; p = m + 9; d = w + 13; t = x + 9; h = j + 5; e = t + 10; r = c + 4; x = j + 15. Given that j = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 2", "b": "r + 13", "l": "b + 12", "f": "l + 8", "u": "f + 2", "q": "u + 12", "n": "h + 14", "w": "n + 13", "p": "w + 4", "d": "p + 12", "z": "d + 6", "v": "z + 5", "h": 1}, "premises": {"h": 1}, "target": "q"}, "answer": {"steps": [["u", "f + 2", "f + 14"], ["f", "l + 8", "l + 22"], ["l", "b + 12", "b + 34"], ["b", "r + 13", "r + 47"], ["r", "h + 2", "h + 49"], ["h", 1, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"h": 1}, "is_reverse": true}} | 21,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 8; v = z + 5; q = u + 12; d = p + 12; u = f + 2; l = b + 12; n = h + 14; p = w + 4; r = h + 2; w = n + 13; b = r + 13; z = d + 6; h = 1. If h = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 2 to q, which gives q = f + 14.\n2. Substitute f = l + 8 to q, which gives q = l + 22.\n3. Substitute l = b + 12 to q, which gives q = b + 34.\n4. Substitute b = r + 13 to q, which gives q = r + 47.\n5. Substitute r = h + 2 to q, which gives q = h + 49.\n6. Substitute h = 1 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 21167,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 8; v = z + 5; q = u + 12; d = p + 12; u = f + 2; l = b + 12; n = h + 14; p = w + 4; r = h + 2; w = n + 13; b = r + 13; z = d + 6; h = 1. If h = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 7", "q": "b + 20", "y": "q + 11", "h": "y + 2", "t": "h + 9", "w": "t + 12", "m": "r + 3", "i": "m + 1", "v": "i + 3", "j": "v + 13", "c": "j + 7", "p": "c + 7", "r": 5}, "premises": {"r": 5}, "target": "w"}, "answer": {"steps": [["t", "h + 9", "h + 21"], ["h", "y + 2", "y + 23"], ["y", "q + 11", "q + 34"], ["q", "b + 20", "b + 54"], ["b", "r + 7", "r + 61"], ["r", 5, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"r": 5}, "is_reverse": true}} | 21,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 3; h = y + 2; i = m + 1; t = h + 9; q = b + 20; c = j + 7; m = r + 3; p = c + 7; r = 5; w = t + 12; j = v + 13; b = r + 7; y = q + 11. If r = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 9 to w, which gives w = h + 21.\n2. Substitute h = y + 2 to w, which gives w = y + 23.\n3. Substitute y = q + 11 to w, which gives w = q + 34.\n4. Substitute q = b + 20 to w, which gives w = b + 54.\n5. Substitute b = r + 7 to w, which gives w = r + 61.\n6. Substitute r = 5 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 21168,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 3; h = y + 2; i = m + 1; t = h + 9; q = b + 20; c = j + 7; m = r + 3; p = c + 7; r = 5; w = t + 12; j = v + 13; b = r + 7; y = q + 11. If r = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 16", "q": "l + 17", "t": "q + 8", "s": "t + 7", "y": "s + 10", "a": "y + 7", "i": "z + 17", "d": "i + 13", "h": "d + 1", "p": "h + 12", "f": "p + 16", "j": "f + 3", "z": 10}, "premises": {"z": 10}, "target": "a"}, "answer": {"steps": [["y", "s + 10", "s + 17"], ["s", "t + 7", "t + 24"], ["t", "q + 8", "q + 32"], ["q", "l + 17", "l + 49"], ["l", "z + 16", "z + 65"], ["z", 10, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"z": 10}, "is_reverse": true}} | 21,169 | 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 = 10; h = d + 1; j = f + 3; a = y + 7; p = h + 12; t = q + 8; f = p + 16; s = t + 7; d = i + 13; l = z + 16; y = s + 10; i = z + 17; q = l + 17. If z = 10, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 10 to a, which gives a = s + 17.\n2. Substitute s = t + 7 to a, which gives a = t + 24.\n3. Substitute t = q + 8 to a, which gives a = q + 32.\n4. Substitute q = l + 17 to a, which gives a = l + 49.\n5. Substitute l = z + 16 to a, which gives a = z + 65.\n6. Substitute z = 10 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 21169,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 10; h = d + 1; j = f + 3; a = y + 7; p = h + 12; t = q + 8; f = p + 16; s = t + 7; d = i + 13; l = z + 16; y = s + 10; i = z + 17; q = l + 17. If z = 10, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 1", "s": "w + 9", "m": "s + 9", "d": "m + 16", "j": "d + 11", "c": "j + 12", "q": "n + 15", "k": "q + 11", "e": "k + 10", "x": "e + 18", "p": "x + 9", "o": "p + 15", "n": 3}, "premises": {"n": 3}, "target": "c"}, "answer": {"steps": [["j", "d + 11", "d + 23"], ["d", "m + 16", "m + 39"], ["m", "s + 9", "s + 48"], ["s", "w + 9", "w + 57"], ["w", "n + 1", "n + 58"], ["n", 3, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"n": 3}, "is_reverse": true}} | 21,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 15; j = d + 11; o = p + 15; w = n + 1; x = e + 18; e = k + 10; p = x + 9; k = q + 11; m = s + 9; d = m + 16; s = w + 9; c = j + 12; n = 3. If n = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 11 to c, which gives c = d + 23.\n2. Substitute d = m + 16 to c, which gives c = m + 39.\n3. Substitute m = s + 9 to c, which gives c = s + 48.\n4. Substitute s = w + 9 to c, which gives c = w + 57.\n5. Substitute w = n + 1 to c, which gives c = n + 58.\n6. Substitute n = 3 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 21170,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 15; j = d + 11; o = p + 15; w = n + 1; x = e + 18; e = k + 10; p = x + 9; k = q + 11; m = s + 9; d = m + 16; s = w + 9; c = j + 12; n = 3. If n = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 4", "b": "s + 7", "i": "b + 17", "a": "i + 3", "k": "a + 16", "e": "k + 10", "v": "m + 8", "r": "v + 4", "g": "r + 5", "w": "g + 11", "y": "w + 16", "q": "y + 1", "m": 2}, "premises": {"m": 2}, "target": "e"}, "answer": {"steps": [["k", "a + 16", "a + 26"], ["a", "i + 3", "i + 29"], ["i", "b + 17", "b + 46"], ["b", "s + 7", "s + 53"], ["s", "m + 4", "m + 57"], ["m", 2, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"m": 2}, "is_reverse": true}} | 21,171 | 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 = m + 4; y = w + 16; e = k + 10; w = g + 11; g = r + 5; v = m + 8; a = i + 3; b = s + 7; i = b + 17; r = v + 4; m = 2; q = y + 1; k = a + 16. If m = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 16 to e, which gives e = a + 26.\n2. Substitute a = i + 3 to e, which gives e = i + 29.\n3. Substitute i = b + 17 to e, which gives e = b + 46.\n4. Substitute b = s + 7 to e, which gives e = s + 53.\n5. Substitute s = m + 4 to e, which gives e = m + 57.\n6. Substitute m = 2 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 21171,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 4; y = w + 16; e = k + 10; w = g + 11; g = r + 5; v = m + 8; a = i + 3; b = s + 7; i = b + 17; r = v + 4; m = 2; q = y + 1; k = a + 16. If m = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 20", "s": "j + 19", "v": "s + 14", "q": "v + 16", "g": "q + 14", "f": "g + 14", "o": "d + 3", "h": "o + 8", "r": "h + 11", "z": "r + 10", "p": "z + 7", "x": "p + 20", "d": 9}, "premises": {"d": 9}, "target": "f"}, "answer": {"steps": [["g", "q + 14", "q + 28"], ["q", "v + 16", "v + 44"], ["v", "s + 14", "s + 58"], ["s", "j + 19", "j + 77"], ["j", "d + 20", "d + 97"], ["d", 9, "106"]], "target_var_name": "f", "target_value": 106, "value_dict": {"d": 9}, "is_reverse": true}} | 21,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 11; q = v + 16; d = 9; f = g + 14; o = d + 3; g = q + 14; z = r + 10; h = o + 8; x = p + 20; p = z + 7; v = s + 14; j = d + 20; s = j + 19. Given that d = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 14 to f, which gives f = q + 28.\n2. Substitute q = v + 16 to f, which gives f = v + 44.\n3. Substitute v = s + 14 to f, which gives f = s + 58.\n4. Substitute s = j + 19 to f, which gives f = j + 77.\n5. Substitute j = d + 20 to f, which gives f = d + 97.\n6. Substitute d = 9 to f, which gives f = 106.\n\nThus, the final answer is f = \\boxed{106}.",
"index": 21172,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 11; q = v + 16; d = 9; f = g + 14; o = d + 3; g = q + 14; z = r + 10; h = o + 8; x = p + 20; p = z + 7; v = s + 14; j = d + 20; s = j + 19. Given that d = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 20", "v": "p + 13", "z": "v + 2", "u": "z + 13", "x": "u + 6", "k": "x + 16", "o": "t + 12", "y": "o + 11", "b": "y + 12", "h": "b + 9", "s": "h + 19", "d": "s + 11", "t": 18}, "premises": {"t": 18}, "target": "k"}, "answer": {"steps": [["x", "u + 6", "u + 22"], ["u", "z + 13", "z + 35"], ["z", "v + 2", "v + 37"], ["v", "p + 13", "p + 50"], ["p", "t + 20", "t + 70"], ["t", 18, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"t": 18}, "is_reverse": true}} | 21,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 18; h = b + 9; s = h + 19; d = s + 11; y = o + 11; u = z + 13; k = x + 16; x = u + 6; b = y + 12; o = t + 12; p = t + 20; v = p + 13; z = v + 2. If t = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 6 to k, which gives k = u + 22.\n2. Substitute u = z + 13 to k, which gives k = z + 35.\n3. Substitute z = v + 2 to k, which gives k = v + 37.\n4. Substitute v = p + 13 to k, which gives k = p + 50.\n5. Substitute p = t + 20 to k, which gives k = t + 70.\n6. Substitute t = 18 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 21173,
"question": "Consider a system of variables where each variable is defined as follows: t = 18; h = b + 9; s = h + 19; d = s + 11; y = o + 11; u = z + 13; k = x + 16; x = u + 6; b = y + 12; o = t + 12; p = t + 20; v = p + 13; z = v + 2. If t = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 15", "k": "z + 6", "j": "k + 5", "y": "j + 8", "g": "y + 7", "t": "g + 9", "d": "c + 20", "o": "d + 19", "e": "o + 1", "r": "e + 19", "b": "r + 7", "n": "b + 20", "c": 1}, "premises": {"c": 1}, "target": "t"}, "answer": {"steps": [["g", "y + 7", "y + 16"], ["y", "j + 8", "j + 24"], ["j", "k + 5", "k + 29"], ["k", "z + 6", "z + 35"], ["z", "c + 15", "c + 50"], ["c", 1, "51"]], "target_var_name": "t", "target_value": 51, "value_dict": {"c": 1}, "is_reverse": true}} | 21,174 | 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 = c + 15; y = j + 8; g = y + 7; n = b + 20; k = z + 6; r = e + 19; o = d + 19; c = 1; b = r + 7; t = g + 9; j = k + 5; e = o + 1; d = c + 20. If c = 1, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 7 to t, which gives t = y + 16.\n2. Substitute y = j + 8 to t, which gives t = j + 24.\n3. Substitute j = k + 5 to t, which gives t = k + 29.\n4. Substitute k = z + 6 to t, which gives t = z + 35.\n5. Substitute z = c + 15 to t, which gives t = c + 50.\n6. Substitute c = 1 to t, which gives t = 51.\n\nThus, the final answer is t = \\boxed{51}.",
"index": 21174,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 15; y = j + 8; g = y + 7; n = b + 20; k = z + 6; r = e + 19; o = d + 19; c = 1; b = r + 7; t = g + 9; j = k + 5; e = o + 1; d = c + 20. If c = 1, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 7", "b": "n + 13", "e": "b + 1", "t": "e + 4", "d": "t + 7", "y": "d + 17", "f": "w + 11", "s": "f + 20", "k": "s + 3", "r": "k + 16", "l": "r + 20", "v": "l + 4", "w": 1}, "premises": {"w": 1}, "target": "y"}, "answer": {"steps": [["d", "t + 7", "t + 24"], ["t", "e + 4", "e + 28"], ["e", "b + 1", "b + 29"], ["b", "n + 13", "n + 42"], ["n", "w + 7", "w + 49"], ["w", 1, "50"]], "target_var_name": "y", "target_value": 50, "value_dict": {"w": 1}, "is_reverse": true}} | 21,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 7; k = s + 3; r = k + 16; l = r + 20; n = w + 7; e = b + 1; f = w + 11; w = 1; t = e + 4; s = f + 20; v = l + 4; y = d + 17; b = n + 13. If w = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 7 to y, which gives y = t + 24.\n2. Substitute t = e + 4 to y, which gives y = e + 28.\n3. Substitute e = b + 1 to y, which gives y = b + 29.\n4. Substitute b = n + 13 to y, which gives y = n + 42.\n5. Substitute n = w + 7 to y, which gives y = w + 49.\n6. Substitute w = 1 to y, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 21175,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 7; k = s + 3; r = k + 16; l = r + 20; n = w + 7; e = b + 1; f = w + 11; w = 1; t = e + 4; s = f + 20; v = l + 4; y = d + 17; b = n + 13. If w = 1, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 13", "m": "f + 19", "x": "m + 10", "e": "x + 15", "l": "e + 9", "k": "l + 18", "n": "v + 11", "r": "n + 4", "s": "r + 13", "i": "s + 8", "d": "i + 14", "t": "d + 11", "v": 10}, "premises": {"v": 10}, "target": "k"}, "answer": {"steps": [["l", "e + 9", "e + 27"], ["e", "x + 15", "x + 42"], ["x", "m + 10", "m + 52"], ["m", "f + 19", "f + 71"], ["f", "v + 13", "v + 84"], ["v", 10, "94"]], "target_var_name": "k", "target_value": 94, "value_dict": {"v": 10}, "is_reverse": true}} | 21,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 14; i = s + 8; x = m + 10; r = n + 4; m = f + 19; e = x + 15; s = r + 13; v = 10; n = v + 11; t = d + 11; f = v + 13; k = l + 18; l = e + 9. Given that v = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 9 to k, which gives k = e + 27.\n2. Substitute e = x + 15 to k, which gives k = x + 42.\n3. Substitute x = m + 10 to k, which gives k = m + 52.\n4. Substitute m = f + 19 to k, which gives k = f + 71.\n5. Substitute f = v + 13 to k, which gives k = v + 84.\n6. Substitute v = 10 to k, which gives k = 94.\n\nThus, the final answer is k = \\boxed{94}.",
"index": 21176,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 14; i = s + 8; x = m + 10; r = n + 4; m = f + 19; e = x + 15; s = r + 13; v = 10; n = v + 11; t = d + 11; f = v + 13; k = l + 18; l = e + 9. Given that v = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 4", "y": "i + 14", "k": "y + 16", "s": "k + 19", "c": "s + 6", "m": "c + 14", "v": "f + 9", "n": "v + 13", "b": "n + 18", "t": "b + 14", "j": "t + 8", "l": "j + 2", "f": 7}, "premises": {"f": 7}, "target": "m"}, "answer": {"steps": [["c", "s + 6", "s + 20"], ["s", "k + 19", "k + 39"], ["k", "y + 16", "y + 55"], ["y", "i + 14", "i + 69"], ["i", "f + 4", "f + 73"], ["f", 7, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"f": 7}, "is_reverse": true}} | 21,177 | 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 = 7; n = v + 13; s = k + 19; l = j + 2; b = n + 18; y = i + 14; t = b + 14; m = c + 14; i = f + 4; j = t + 8; c = s + 6; v = f + 9; k = y + 16. If f = 7, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 6 to m, which gives m = s + 20.\n2. Substitute s = k + 19 to m, which gives m = k + 39.\n3. Substitute k = y + 16 to m, which gives m = y + 55.\n4. Substitute y = i + 14 to m, which gives m = i + 69.\n5. Substitute i = f + 4 to m, which gives m = f + 73.\n6. Substitute f = 7 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 21177,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 7; n = v + 13; s = k + 19; l = j + 2; b = n + 18; y = i + 14; t = b + 14; m = c + 14; i = f + 4; j = t + 8; c = s + 6; v = f + 9; k = y + 16. If f = 7, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 16", "r": "k + 8", "a": "r + 13", "q": "a + 13", "y": "q + 18", "t": "y + 16", "e": "u + 20", "l": "e + 5", "j": "l + 18", "m": "j + 13", "i": "m + 7", "c": "i + 11", "u": 20}, "premises": {"u": 20}, "target": "t"}, "answer": {"steps": [["y", "q + 18", "q + 34"], ["q", "a + 13", "a + 47"], ["a", "r + 13", "r + 60"], ["r", "k + 8", "k + 68"], ["k", "u + 16", "u + 84"], ["u", 20, "104"]], "target_var_name": "t", "target_value": 104, "value_dict": {"u": 20}, "is_reverse": true}} | 21,178 | 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 = a + 13; u = 20; k = u + 16; m = j + 13; i = m + 7; t = y + 16; e = u + 20; c = i + 11; j = l + 18; y = q + 18; a = r + 13; l = e + 5; r = k + 8. If u = 20, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 18 to t, which gives t = q + 34.\n2. Substitute q = a + 13 to t, which gives t = a + 47.\n3. Substitute a = r + 13 to t, which gives t = r + 60.\n4. Substitute r = k + 8 to t, which gives t = k + 68.\n5. Substitute k = u + 16 to t, which gives t = u + 84.\n6. Substitute u = 20 to t, which gives t = 104.\n\nThus, the final answer is t = \\boxed{104}.",
"index": 21178,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 13; u = 20; k = u + 16; m = j + 13; i = m + 7; t = y + 16; e = u + 20; c = i + 11; j = l + 18; y = q + 18; a = r + 13; l = e + 5; r = k + 8. If u = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 16", "w": "r + 16", "k": "w + 14", "d": "k + 19", "s": "d + 5", "n": "s + 8", "l": "v + 11", "u": "l + 8", "e": "u + 16", "x": "e + 15", "z": "x + 15", "j": "z + 2", "v": 2}, "premises": {"v": 2}, "target": "n"}, "answer": {"steps": [["s", "d + 5", "d + 13"], ["d", "k + 19", "k + 32"], ["k", "w + 14", "w + 46"], ["w", "r + 16", "r + 62"], ["r", "v + 16", "v + 78"], ["v", 2, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"v": 2}, "is_reverse": true}} | 21,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 19; r = v + 16; n = s + 8; x = e + 15; l = v + 11; v = 2; w = r + 16; k = w + 14; u = l + 8; s = d + 5; z = x + 15; e = u + 16; j = z + 2. Given that v = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 5 to n, which gives n = d + 13.\n2. Substitute d = k + 19 to n, which gives n = k + 32.\n3. Substitute k = w + 14 to n, which gives n = w + 46.\n4. Substitute w = r + 16 to n, which gives n = r + 62.\n5. Substitute r = v + 16 to n, which gives n = v + 78.\n6. Substitute v = 2 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 21179,
"question": "Suppose a collection of variables is related by the following definitions: d = k + 19; r = v + 16; n = s + 8; x = e + 15; l = v + 11; v = 2; w = r + 16; k = w + 14; u = l + 8; s = d + 5; z = x + 15; e = u + 16; j = z + 2. Given that v = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 6", "w": "x + 6", "o": "w + 15", "r": "o + 9", "p": "r + 5", "g": "p + 14", "u": "e + 12", "t": "u + 4", "b": "t + 19", "v": "b + 5", "z": "v + 11", "k": "z + 8", "e": 19}, "premises": {"e": 19}, "target": "g"}, "answer": {"steps": [["p", "r + 5", "r + 19"], ["r", "o + 9", "o + 28"], ["o", "w + 15", "w + 43"], ["w", "x + 6", "x + 49"], ["x", "e + 6", "e + 55"], ["e", 19, "74"]], "target_var_name": "g", "target_value": 74, "value_dict": {"e": 19}, "is_reverse": true}} | 21,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 4; o = w + 15; x = e + 6; e = 19; b = t + 19; w = x + 6; r = o + 9; u = e + 12; v = b + 5; p = r + 5; g = p + 14; z = v + 11; k = z + 8. If e = 19, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 5 to g, which gives g = r + 19.\n2. Substitute r = o + 9 to g, which gives g = o + 28.\n3. Substitute o = w + 15 to g, which gives g = w + 43.\n4. Substitute w = x + 6 to g, which gives g = x + 49.\n5. Substitute x = e + 6 to g, which gives g = e + 55.\n6. Substitute e = 19 to g, which gives g = 74.\n\nThus, the final answer is g = \\boxed{74}.",
"index": 21180,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 4; o = w + 15; x = e + 6; e = 19; b = t + 19; w = x + 6; r = o + 9; u = e + 12; v = b + 5; p = r + 5; g = p + 14; z = v + 11; k = z + 8. If e = 19, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 1", "y": "o + 8", "a": "y + 20", "x": "a + 9", "w": "x + 1", "m": "w + 2", "u": "g + 20", "t": "u + 5", "c": "t + 16", "s": "c + 19", "k": "s + 1", "z": "k + 11", "g": 15}, "premises": {"g": 15}, "target": "m"}, "answer": {"steps": [["w", "x + 1", "x + 3"], ["x", "a + 9", "a + 12"], ["a", "y + 20", "y + 32"], ["y", "o + 8", "o + 40"], ["o", "g + 1", "g + 41"], ["g", 15, "56"]], "target_var_name": "m", "target_value": 56, "value_dict": {"g": 15}, "is_reverse": true}} | 21,181 | 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 = x + 1; k = s + 1; u = g + 20; y = o + 8; m = w + 2; a = y + 20; o = g + 1; g = 15; z = k + 11; c = t + 16; t = u + 5; s = c + 19; x = a + 9. If g = 15, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 1 to m, which gives m = x + 3.\n2. Substitute x = a + 9 to m, which gives m = a + 12.\n3. Substitute a = y + 20 to m, which gives m = y + 32.\n4. Substitute y = o + 8 to m, which gives m = o + 40.\n5. Substitute o = g + 1 to m, which gives m = g + 41.\n6. Substitute g = 15 to m, which gives m = 56.\n\nThus, the final answer is m = \\boxed{56}.",
"index": 21181,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 1; k = s + 1; u = g + 20; y = o + 8; m = w + 2; a = y + 20; o = g + 1; g = 15; z = k + 11; c = t + 16; t = u + 5; s = c + 19; x = a + 9. If g = 15, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 2", "p": "s + 12", "j": "p + 20", "t": "j + 8", "y": "t + 8", "d": "y + 7", "c": "k + 14", "w": "c + 18", "z": "w + 19", "h": "z + 17", "x": "h + 13", "i": "x + 16", "k": 3}, "premises": {"k": 3}, "target": "d"}, "answer": {"steps": [["y", "t + 8", "t + 15"], ["t", "j + 8", "j + 23"], ["j", "p + 20", "p + 43"], ["p", "s + 12", "s + 55"], ["s", "k + 2", "k + 57"], ["k", 3, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"k": 3}, "is_reverse": true}} | 21,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 8; d = y + 7; j = p + 20; h = z + 17; x = h + 13; w = c + 18; z = w + 19; i = x + 16; c = k + 14; p = s + 12; k = 3; y = t + 8; s = k + 2. If k = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 8 to d, which gives d = t + 15.\n2. Substitute t = j + 8 to d, which gives d = j + 23.\n3. Substitute j = p + 20 to d, which gives d = p + 43.\n4. Substitute p = s + 12 to d, which gives d = s + 55.\n5. Substitute s = k + 2 to d, which gives d = k + 57.\n6. Substitute k = 3 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 21182,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 8; d = y + 7; j = p + 20; h = z + 17; x = h + 13; w = c + 18; z = w + 19; i = x + 16; c = k + 14; p = s + 12; k = 3; y = t + 8; s = k + 2. If k = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 6", "e": "j + 19", "k": "e + 8", "m": "k + 6", "x": "m + 2", "o": "x + 18", "w": "s + 18", "z": "w + 2", "b": "z + 5", "c": "b + 8", "a": "c + 18", "q": "a + 15", "s": 9}, "premises": {"s": 9}, "target": "o"}, "answer": {"steps": [["x", "m + 2", "m + 20"], ["m", "k + 6", "k + 26"], ["k", "e + 8", "e + 34"], ["e", "j + 19", "j + 53"], ["j", "s + 6", "s + 59"], ["s", 9, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"s": 9}, "is_reverse": true}} | 21,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 2; w = s + 18; e = j + 19; k = e + 8; c = b + 8; j = s + 6; o = x + 18; q = a + 15; a = c + 18; s = 9; x = m + 2; m = k + 6; b = z + 5. If s = 9, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 2 to o, which gives o = m + 20.\n2. Substitute m = k + 6 to o, which gives o = k + 26.\n3. Substitute k = e + 8 to o, which gives o = e + 34.\n4. Substitute e = j + 19 to o, which gives o = j + 53.\n5. Substitute j = s + 6 to o, which gives o = s + 59.\n6. Substitute s = 9 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 21183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 2; w = s + 18; e = j + 19; k = e + 8; c = b + 8; j = s + 6; o = x + 18; q = a + 15; a = c + 18; s = 9; x = m + 2; m = k + 6; b = z + 5. If s = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 14", "v": "d + 17", "g": "v + 20", "j": "g + 18", "e": "j + 1", "u": "e + 10", "f": "h + 9", "i": "f + 6", "o": "i + 6", "w": "o + 3", "a": "w + 9", "k": "a + 13", "h": 4}, "premises": {"h": 4}, "target": "u"}, "answer": {"steps": [["e", "j + 1", "j + 11"], ["j", "g + 18", "g + 29"], ["g", "v + 20", "v + 49"], ["v", "d + 17", "d + 66"], ["d", "h + 14", "h + 80"], ["h", 4, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"h": 4}, "is_reverse": true}} | 21,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 14; j = g + 18; v = d + 17; i = f + 6; u = e + 10; g = v + 20; o = i + 6; w = o + 3; f = h + 9; e = j + 1; a = w + 9; h = 4; k = a + 13. Given that h = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 1 to u, which gives u = j + 11.\n2. Substitute j = g + 18 to u, which gives u = g + 29.\n3. Substitute g = v + 20 to u, which gives u = v + 49.\n4. Substitute v = d + 17 to u, which gives u = d + 66.\n5. Substitute d = h + 14 to u, which gives u = h + 80.\n6. Substitute h = 4 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 21184,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 14; j = g + 18; v = d + 17; i = f + 6; u = e + 10; g = v + 20; o = i + 6; w = o + 3; f = h + 9; e = j + 1; a = w + 9; h = 4; k = a + 13. Given that h = 4, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "k + 2", "g": "d + 13", "y": "g + 1", "w": "y + 3", "l": "w + 18", "f": "l + 15", "e": "k + 13", "i": "e + 12", "s": "i + 8", "p": "s + 14", "t": "p + 18", "b": "t + 13", "k": 16}, "premises": {"k": 16}, "target": "f"}, "answer": {"steps": [["l", "w + 18", "w + 33"], ["w", "y + 3", "y + 36"], ["y", "g + 1", "g + 37"], ["g", "d + 13", "d + 50"], ["d", "k + 2", "k + 52"], ["k", 16, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"k": 16}, "is_reverse": true}} | 21,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = t + 13; g = d + 13; t = p + 18; p = s + 14; s = i + 8; e = k + 13; y = g + 1; i = e + 12; d = k + 2; k = 16; f = l + 15; w = y + 3; l = w + 18. Given that k = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 18 to f, which gives f = w + 33.\n2. Substitute w = y + 3 to f, which gives f = y + 36.\n3. Substitute y = g + 1 to f, which gives f = g + 37.\n4. Substitute g = d + 13 to f, which gives f = d + 50.\n5. Substitute d = k + 2 to f, which gives f = k + 52.\n6. Substitute k = 16 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 21185,
"question": "Suppose a collection of variables is related by the following definitions: b = t + 13; g = d + 13; t = p + 18; p = s + 14; s = i + 8; e = k + 13; y = g + 1; i = e + 12; d = k + 2; k = 16; f = l + 15; w = y + 3; l = w + 18. Given that k = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 17", "c": "m + 7", "g": "c + 18", "k": "g + 17", "n": "k + 19", "r": "n + 18", "e": "w + 16", "u": "e + 10", "b": "u + 10", "v": "b + 4", "d": "v + 13", "z": "d + 19", "w": 12}, "premises": {"w": 12}, "target": "r"}, "answer": {"steps": [["n", "k + 19", "k + 37"], ["k", "g + 17", "g + 54"], ["g", "c + 18", "c + 72"], ["c", "m + 7", "m + 79"], ["m", "w + 17", "w + 96"], ["w", 12, "108"]], "target_var_name": "r", "target_value": 108, "value_dict": {"w": 12}, "is_reverse": true}} | 21,186 | 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 = 12; v = b + 4; b = u + 10; d = v + 13; r = n + 18; e = w + 16; k = g + 17; u = e + 10; m = w + 17; c = m + 7; z = d + 19; n = k + 19; g = c + 18. If w = 12, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 19 to r, which gives r = k + 37.\n2. Substitute k = g + 17 to r, which gives r = g + 54.\n3. Substitute g = c + 18 to r, which gives r = c + 72.\n4. Substitute c = m + 7 to r, which gives r = m + 79.\n5. Substitute m = w + 17 to r, which gives r = w + 96.\n6. Substitute w = 12 to r, which gives r = 108.\n\nThus, the final answer is r = \\boxed{108}.",
"index": 21186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 12; v = b + 4; b = u + 10; d = v + 13; r = n + 18; e = w + 16; k = g + 17; u = e + 10; m = w + 17; c = m + 7; z = d + 19; n = k + 19; g = c + 18. If w = 12, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 9", "o": "n + 3", "t": "o + 16", "k": "t + 8", "r": "k + 8", "z": "r + 13", "h": "l + 1", "d": "h + 5", "f": "d + 20", "i": "f + 7", "s": "i + 1", "g": "s + 18", "l": 15}, "premises": {"l": 15}, "target": "z"}, "answer": {"steps": [["r", "k + 8", "k + 21"], ["k", "t + 8", "t + 29"], ["t", "o + 16", "o + 45"], ["o", "n + 3", "n + 48"], ["n", "l + 9", "l + 57"], ["l", 15, "72"]], "target_var_name": "z", "target_value": 72, "value_dict": {"l": 15}, "is_reverse": true}} | 21,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 20; n = l + 9; g = s + 18; z = r + 13; t = o + 16; i = f + 7; r = k + 8; s = i + 1; o = n + 3; l = 15; k = t + 8; d = h + 5; h = l + 1. Given that l = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 8 to z, which gives z = k + 21.\n2. Substitute k = t + 8 to z, which gives z = t + 29.\n3. Substitute t = o + 16 to z, which gives z = o + 45.\n4. Substitute o = n + 3 to z, which gives z = n + 48.\n5. Substitute n = l + 9 to z, which gives z = l + 57.\n6. Substitute l = 15 to z, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 21187,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 20; n = l + 9; g = s + 18; z = r + 13; t = o + 16; i = f + 7; r = k + 8; s = i + 1; o = n + 3; l = 15; k = t + 8; d = h + 5; h = l + 1. Given that l = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 18", "m": "a + 6", "i": "m + 7", "q": "i + 1", "o": "q + 2", "t": "o + 5", "u": "v + 9", "g": "u + 3", "k": "g + 18", "e": "k + 12", "r": "e + 3", "c": "r + 5", "v": 20}, "premises": {"v": 20}, "target": "t"}, "answer": {"steps": [["o", "q + 2", "q + 7"], ["q", "i + 1", "i + 8"], ["i", "m + 7", "m + 15"], ["m", "a + 6", "a + 21"], ["a", "v + 18", "v + 39"], ["v", 20, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"v": 20}, "is_reverse": true}} | 21,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 18; v = 20; g = u + 3; m = a + 6; q = i + 1; o = q + 2; u = v + 9; a = v + 18; r = e + 3; t = o + 5; i = m + 7; c = r + 5; e = k + 12. Given that v = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 2 to t, which gives t = q + 7.\n2. Substitute q = i + 1 to t, which gives t = i + 8.\n3. Substitute i = m + 7 to t, which gives t = m + 15.\n4. Substitute m = a + 6 to t, which gives t = a + 21.\n5. Substitute a = v + 18 to t, which gives t = v + 39.\n6. Substitute v = 20 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 21188,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 18; v = 20; g = u + 3; m = a + 6; q = i + 1; o = q + 2; u = v + 9; a = v + 18; r = e + 3; t = o + 5; i = m + 7; c = r + 5; e = k + 12. Given that v = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 10", "j": "p + 15", "y": "j + 6", "s": "y + 6", "x": "s + 9", "g": "x + 20", "e": "z + 18", "i": "e + 13", "b": "i + 11", "u": "b + 13", "q": "u + 10", "c": "q + 16", "z": 11}, "premises": {"z": 11}, "target": "g"}, "answer": {"steps": [["x", "s + 9", "s + 29"], ["s", "y + 6", "y + 35"], ["y", "j + 6", "j + 41"], ["j", "p + 15", "p + 56"], ["p", "z + 10", "z + 66"], ["z", 11, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"z": 11}, "is_reverse": true}} | 21,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 18; x = s + 9; u = b + 13; y = j + 6; p = z + 10; g = x + 20; z = 11; j = p + 15; b = i + 11; c = q + 16; s = y + 6; q = u + 10; i = e + 13. If z = 11, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 9 to g, which gives g = s + 29.\n2. Substitute s = y + 6 to g, which gives g = y + 35.\n3. Substitute y = j + 6 to g, which gives g = j + 41.\n4. Substitute j = p + 15 to g, which gives g = p + 56.\n5. Substitute p = z + 10 to g, which gives g = z + 66.\n6. Substitute z = 11 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 21189,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 18; x = s + 9; u = b + 13; y = j + 6; p = z + 10; g = x + 20; z = 11; j = p + 15; b = i + 11; c = q + 16; s = y + 6; q = u + 10; i = e + 13. If z = 11, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 16", "b": "l + 8", "q": "b + 11", "w": "q + 9", "v": "w + 14", "r": "v + 12", "e": "o + 16", "u": "e + 12", "t": "u + 7", "z": "t + 8", "a": "z + 6", "y": "a + 19", "o": 6}, "premises": {"o": 6}, "target": "r"}, "answer": {"steps": [["v", "w + 14", "w + 26"], ["w", "q + 9", "q + 35"], ["q", "b + 11", "b + 46"], ["b", "l + 8", "l + 54"], ["l", "o + 16", "o + 70"], ["o", 6, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"o": 6}, "is_reverse": true}} | 21,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 6; l = o + 16; v = w + 14; b = l + 8; z = t + 8; w = q + 9; a = z + 6; u = e + 12; q = b + 11; y = a + 19; r = v + 12; t = u + 7; e = o + 16. Given that o = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 14 to r, which gives r = w + 26.\n2. Substitute w = q + 9 to r, which gives r = q + 35.\n3. Substitute q = b + 11 to r, which gives r = b + 46.\n4. Substitute b = l + 8 to r, which gives r = l + 54.\n5. Substitute l = o + 16 to r, which gives r = o + 70.\n6. Substitute o = 6 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 21190,
"question": "Suppose a collection of variables is related by the following definitions: o = 6; l = o + 16; v = w + 14; b = l + 8; z = t + 8; w = q + 9; a = z + 6; u = e + 12; q = b + 11; y = a + 19; r = v + 12; t = u + 7; e = o + 16. Given that o = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 15", "y": "b + 9", "e": "y + 11", "m": "e + 13", "u": "m + 20", "j": "u + 10", "z": "g + 14", "s": "z + 17", "x": "s + 15", "o": "x + 13", "a": "o + 3", "h": "a + 8", "g": 10}, "premises": {"g": 10}, "target": "j"}, "answer": {"steps": [["u", "m + 20", "m + 30"], ["m", "e + 13", "e + 43"], ["e", "y + 11", "y + 54"], ["y", "b + 9", "b + 63"], ["b", "g + 15", "g + 78"], ["g", 10, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"g": 10}, "is_reverse": true}} | 21,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 13; u = m + 20; x = s + 15; b = g + 15; e = y + 11; z = g + 14; j = u + 10; a = o + 3; h = a + 8; y = b + 9; g = 10; s = z + 17; m = e + 13. If g = 10, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 20 to j, which gives j = m + 30.\n2. Substitute m = e + 13 to j, which gives j = e + 43.\n3. Substitute e = y + 11 to j, which gives j = y + 54.\n4. Substitute y = b + 9 to j, which gives j = b + 63.\n5. Substitute b = g + 15 to j, which gives j = g + 78.\n6. Substitute g = 10 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 21191,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 13; u = m + 20; x = s + 15; b = g + 15; e = y + 11; z = g + 14; j = u + 10; a = o + 3; h = a + 8; y = b + 9; g = 10; s = z + 17; m = e + 13. If g = 10, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 6", "c": "a + 19", "u": "c + 1", "o": "u + 11", "b": "o + 20", "n": "b + 9", "m": "f + 9", "s": "m + 12", "y": "s + 4", "h": "y + 10", "e": "h + 11", "r": "e + 8", "f": 15}, "premises": {"f": 15}, "target": "n"}, "answer": {"steps": [["b", "o + 20", "o + 29"], ["o", "u + 11", "u + 40"], ["u", "c + 1", "c + 41"], ["c", "a + 19", "a + 60"], ["a", "f + 6", "f + 66"], ["f", 15, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"f": 15}, "is_reverse": true}} | 21,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 6; c = a + 19; s = m + 12; n = b + 9; u = c + 1; e = h + 11; y = s + 4; m = f + 9; h = y + 10; o = u + 11; b = o + 20; f = 15; r = e + 8. If f = 15, what is the resulting 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 b = o + 20 to n, which gives n = o + 29.\n2. Substitute o = u + 11 to n, which gives n = u + 40.\n3. Substitute u = c + 1 to n, which gives n = c + 41.\n4. Substitute c = a + 19 to n, which gives n = a + 60.\n5. Substitute a = f + 6 to n, which gives n = f + 66.\n6. Substitute f = 15 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 21192,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 6; c = a + 19; s = m + 12; n = b + 9; u = c + 1; e = h + 11; y = s + 4; m = f + 9; h = y + 10; o = u + 11; b = o + 20; f = 15; r = e + 8. If f = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 15", "h": "f + 16", "z": "h + 11", "t": "z + 1", "w": "t + 1", "e": "w + 8", "c": "x + 18", "r": "c + 13", "o": "r + 15", "v": "o + 20", "s": "v + 17", "q": "s + 2", "x": 1}, "premises": {"x": 1}, "target": "e"}, "answer": {"steps": [["w", "t + 1", "t + 9"], ["t", "z + 1", "z + 10"], ["z", "h + 11", "h + 21"], ["h", "f + 16", "f + 37"], ["f", "x + 15", "x + 52"], ["x", 1, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"x": 1}, "is_reverse": true}} | 21,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 15; c = x + 18; e = w + 8; q = s + 2; o = r + 15; t = z + 1; h = f + 16; v = o + 20; s = v + 17; w = t + 1; r = c + 13; z = h + 11; x = 1. If x = 1, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 1 to e, which gives e = t + 9.\n2. Substitute t = z + 1 to e, which gives e = z + 10.\n3. Substitute z = h + 11 to e, which gives e = h + 21.\n4. Substitute h = f + 16 to e, which gives e = f + 37.\n5. Substitute f = x + 15 to e, which gives e = x + 52.\n6. Substitute x = 1 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 21193,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 15; c = x + 18; e = w + 8; q = s + 2; o = r + 15; t = z + 1; h = f + 16; v = o + 20; s = v + 17; w = t + 1; r = c + 13; z = h + 11; x = 1. If x = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 16", "t": "f + 2", "m": "t + 3", "v": "m + 19", "c": "v + 1", "a": "c + 5", "l": "p + 6", "e": "l + 16", "s": "e + 14", "o": "s + 6", "b": "o + 15", "q": "b + 5", "p": 6}, "premises": {"p": 6}, "target": "a"}, "answer": {"steps": [["c", "v + 1", "v + 6"], ["v", "m + 19", "m + 25"], ["m", "t + 3", "t + 28"], ["t", "f + 2", "f + 30"], ["f", "p + 16", "p + 46"], ["p", 6, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"p": 6}, "is_reverse": true}} | 21,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 6; t = f + 2; f = p + 16; a = c + 5; o = s + 6; c = v + 1; m = t + 3; v = m + 19; l = p + 6; b = o + 15; s = e + 14; q = b + 5; e = l + 16. Given that p = 6, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 1 to a, which gives a = v + 6.\n2. Substitute v = m + 19 to a, which gives a = m + 25.\n3. Substitute m = t + 3 to a, which gives a = t + 28.\n4. Substitute t = f + 2 to a, which gives a = f + 30.\n5. Substitute f = p + 16 to a, which gives a = p + 46.\n6. Substitute p = 6 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 21194,
"question": "Suppose a collection of variables is related by the following definitions: p = 6; t = f + 2; f = p + 16; a = c + 5; o = s + 6; c = v + 1; m = t + 3; v = m + 19; l = p + 6; b = o + 15; s = e + 14; q = b + 5; e = l + 16. Given that p = 6, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 6", "c": "p + 20", "v": "c + 6", "j": "v + 10", "n": "j + 11", "z": "n + 4", "o": "k + 4", "u": "o + 1", "e": "u + 11", "i": "e + 16", "x": "i + 19", "s": "x + 7", "k": 17}, "premises": {"k": 17}, "target": "z"}, "answer": {"steps": [["n", "j + 11", "j + 15"], ["j", "v + 10", "v + 25"], ["v", "c + 6", "c + 31"], ["c", "p + 20", "p + 51"], ["p", "k + 6", "k + 57"], ["k", 17, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"k": 17}, "is_reverse": true}} | 21,195 | 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 = v + 10; s = x + 7; o = k + 4; e = u + 11; u = o + 1; c = p + 20; i = e + 16; v = c + 6; x = i + 19; p = k + 6; z = n + 4; k = 17; n = j + 11. If k = 17, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 11 to z, which gives z = j + 15.\n2. Substitute j = v + 10 to z, which gives z = v + 25.\n3. Substitute v = c + 6 to z, which gives z = c + 31.\n4. Substitute c = p + 20 to z, which gives z = p + 51.\n5. Substitute p = k + 6 to z, which gives z = k + 57.\n6. Substitute k = 17 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 21195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = v + 10; s = x + 7; o = k + 4; e = u + 11; u = o + 1; c = p + 20; i = e + 16; v = c + 6; x = i + 19; p = k + 6; z = n + 4; k = 17; n = j + 11. If k = 17, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 13", "k": "w + 5", "a": "k + 19", "h": "a + 3", "r": "h + 14", "j": "r + 20", "t": "s + 16", "e": "t + 6", "n": "e + 2", "i": "n + 8", "o": "i + 7", "d": "o + 7", "s": 8}, "premises": {"s": 8}, "target": "j"}, "answer": {"steps": [["r", "h + 14", "h + 34"], ["h", "a + 3", "a + 37"], ["a", "k + 19", "k + 56"], ["k", "w + 5", "w + 61"], ["w", "s + 13", "s + 74"], ["s", 8, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"s": 8}, "is_reverse": true}} | 21,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 6; j = r + 20; n = e + 2; i = n + 8; r = h + 14; w = s + 13; t = s + 16; s = 8; k = w + 5; d = o + 7; h = a + 3; a = k + 19; o = i + 7. Given that s = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 14 to j, which gives j = h + 34.\n2. Substitute h = a + 3 to j, which gives j = a + 37.\n3. Substitute a = k + 19 to j, which gives j = k + 56.\n4. Substitute k = w + 5 to j, which gives j = w + 61.\n5. Substitute w = s + 13 to j, which gives j = s + 74.\n6. Substitute s = 8 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 21196,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 6; j = r + 20; n = e + 2; i = n + 8; r = h + 14; w = s + 13; t = s + 16; s = 8; k = w + 5; d = o + 7; h = a + 3; a = k + 19; o = i + 7. Given that s = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 2", "s": "c + 12", "o": "s + 14", "u": "o + 5", "p": "u + 5", "h": "p + 5", "n": "v + 4", "j": "n + 1", "g": "j + 11", "k": "g + 6", "i": "k + 5", "q": "i + 7", "v": 14}, "premises": {"v": 14}, "target": "h"}, "answer": {"steps": [["p", "u + 5", "u + 10"], ["u", "o + 5", "o + 15"], ["o", "s + 14", "s + 29"], ["s", "c + 12", "c + 41"], ["c", "v + 2", "v + 43"], ["v", 14, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"v": 14}, "is_reverse": true}} | 21,197 | 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 = 14; o = s + 14; k = g + 6; i = k + 5; g = j + 11; s = c + 12; c = v + 2; q = i + 7; n = v + 4; p = u + 5; u = o + 5; j = n + 1; h = p + 5. If v = 14, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 5 to h, which gives h = u + 10.\n2. Substitute u = o + 5 to h, which gives h = o + 15.\n3. Substitute o = s + 14 to h, which gives h = s + 29.\n4. Substitute s = c + 12 to h, which gives h = c + 41.\n5. Substitute c = v + 2 to h, which gives h = v + 43.\n6. Substitute v = 14 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 21197,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 14; o = s + 14; k = g + 6; i = k + 5; g = j + 11; s = c + 12; c = v + 2; q = i + 7; n = v + 4; p = u + 5; u = o + 5; j = n + 1; h = p + 5. If v = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 8", "z": "q + 11", "w": "z + 6", "r": "w + 11", "s": "r + 9", "l": "s + 7", "t": "h + 10", "d": "t + 13", "o": "d + 12", "j": "o + 13", "n": "j + 1", "y": "n + 15", "h": 12}, "premises": {"h": 12}, "target": "l"}, "answer": {"steps": [["s", "r + 9", "r + 16"], ["r", "w + 11", "w + 27"], ["w", "z + 6", "z + 33"], ["z", "q + 11", "q + 44"], ["q", "h + 8", "h + 52"], ["h", 12, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"h": 12}, "is_reverse": true}} | 21,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 12; r = w + 11; l = s + 7; o = d + 12; t = h + 10; z = q + 11; d = t + 13; q = h + 8; j = o + 13; n = j + 1; y = n + 15; w = z + 6; s = r + 9. Given that h = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 9 to l, which gives l = r + 16.\n2. Substitute r = w + 11 to l, which gives l = w + 27.\n3. Substitute w = z + 6 to l, which gives l = z + 33.\n4. Substitute z = q + 11 to l, which gives l = q + 44.\n5. Substitute q = h + 8 to l, which gives l = h + 52.\n6. Substitute h = 12 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 21198,
"question": "Suppose a collection of variables is related by the following definitions: h = 12; r = w + 11; l = s + 7; o = d + 12; t = h + 10; z = q + 11; d = t + 13; q = h + 8; j = o + 13; n = j + 1; y = n + 15; w = z + 6; s = r + 9. Given that h = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 13", "u": "i + 15", "g": "u + 1", "e": "g + 6", "b": "e + 11", "y": "b + 17", "z": "n + 6", "c": "z + 20", "m": "c + 9", "t": "m + 1", "a": "t + 13", "x": "a + 19", "n": 20}, "premises": {"n": 20}, "target": "y"}, "answer": {"steps": [["b", "e + 11", "e + 28"], ["e", "g + 6", "g + 34"], ["g", "u + 1", "u + 35"], ["u", "i + 15", "i + 50"], ["i", "n + 13", "n + 63"], ["n", 20, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"n": 20}, "is_reverse": true}} | 21,199 | 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 = g + 6; t = m + 1; x = a + 19; b = e + 11; g = u + 1; u = i + 15; n = 20; a = t + 13; m = c + 9; y = b + 17; c = z + 20; z = n + 6; i = n + 13. If n = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 11 to y, which gives y = e + 28.\n2. Substitute e = g + 6 to y, which gives y = g + 34.\n3. Substitute g = u + 1 to y, which gives y = u + 35.\n4. Substitute u = i + 15 to y, which gives y = i + 50.\n5. Substitute i = n + 13 to y, which gives y = n + 63.\n6. Substitute n = 20 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 21199,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 6; t = m + 1; x = a + 19; b = e + 11; g = u + 1; u = i + 15; n = 20; a = t + 13; m = c + 9; y = b + 17; c = z + 20; z = n + 6; i = n + 13. If n = 20, what is the resulting value of y?",
"split": "train"
} |
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