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": {"h": "b + 10", "p": "h + 17", "c": "p + 6", "k": "c + 3", "j": "k + 3", "v": "j + 11", "q": "b + 19", "w": "q + 8", "g": "w + 17", "l": "g + 18", "n": "l + 7", "s": "n + 7", "b": 16}, "premises": {"b": 16}, "target": "v"}, "answer": {"steps": [["j", "k + 3", "k + 14"], ["k", "c + 3", "c + 17"], ["c", "p + 6", "p + 23"], ["p", "h + 17", "h + 40"], ["h", "b + 10", "b + 50"], ["b", 16, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"b": 16}, "is_reverse": true}} | 7,600 | 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 = k + 3; w = q + 8; k = c + 3; c = p + 6; b = 16; h = b + 10; l = g + 18; g = w + 17; p = h + 17; v = j + 11; n = l + 7; s = n + 7; q = b + 19. If b = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 3 to v, which gives v = k + 14.\n2. Substitute k = c + 3 to v, which gives v = c + 17.\n3. Substitute c = p + 6 to v, which gives v = p + 23.\n4. Substitute p = h + 17 to v, which gives v = h + 40.\n5. Substitute h = b + 10 to v, which gives v = b + 50.\n6. Substitute b = 16 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 7600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 3; w = q + 8; k = c + 3; c = p + 6; b = 16; h = b + 10; l = g + 18; g = w + 17; p = h + 17; v = j + 11; n = l + 7; s = n + 7; q = b + 19. If b = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 20", "y": "k + 7", "a": "y + 20", "t": "a + 1", "z": "t + 8", "x": "z + 8", "v": "m + 12", "r": "v + 9", "c": "r + 13", "j": "c + 1", "i": "j + 10", "g": "i + 13", "m": 10}, "premises": {"m": 10}, "target": "x"}, "answer": {"steps": [["z", "t + 8", "t + 16"], ["t", "a + 1", "a + 17"], ["a", "y + 20", "y + 37"], ["y", "k + 7", "k + 44"], ["k", "m + 20", "m + 64"], ["m", 10, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"m": 10}, "is_reverse": true}} | 7,601 | 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 = 10; t = a + 1; j = c + 1; z = t + 8; k = m + 20; g = i + 13; v = m + 12; r = v + 9; y = k + 7; c = r + 13; x = z + 8; i = j + 10; a = y + 20. If m = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 8 to x, which gives x = t + 16.\n2. Substitute t = a + 1 to x, which gives x = a + 17.\n3. Substitute a = y + 20 to x, which gives x = y + 37.\n4. Substitute y = k + 7 to x, which gives x = k + 44.\n5. Substitute k = m + 20 to x, which gives x = m + 64.\n6. Substitute m = 10 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 7601,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 10; t = a + 1; j = c + 1; z = t + 8; k = m + 20; g = i + 13; v = m + 12; r = v + 9; y = k + 7; c = r + 13; x = z + 8; i = j + 10; a = y + 20. If m = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 4", "k": "u + 13", "w": "k + 13", "m": "w + 4", "i": "m + 14", "q": "i + 18", "b": "r + 18", "j": "b + 13", "l": "j + 14", "e": "l + 10", "h": "e + 4", "f": "h + 19", "r": 10}, "premises": {"r": 10}, "target": "q"}, "answer": {"steps": [["i", "m + 14", "m + 32"], ["m", "w + 4", "w + 36"], ["w", "k + 13", "k + 49"], ["k", "u + 13", "u + 62"], ["u", "r + 4", "r + 66"], ["r", 10, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"r": 10}, "is_reverse": true}} | 7,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 13; i = m + 14; b = r + 18; r = 10; l = j + 14; j = b + 13; u = r + 4; k = u + 13; q = i + 18; h = e + 4; m = w + 4; e = l + 10; f = h + 19. Given that r = 10, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 14 to q, which gives q = m + 32.\n2. Substitute m = w + 4 to q, which gives q = w + 36.\n3. Substitute w = k + 13 to q, which gives q = k + 49.\n4. Substitute k = u + 13 to q, which gives q = u + 62.\n5. Substitute u = r + 4 to q, which gives q = r + 66.\n6. Substitute r = 10 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 7602,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 13; i = m + 14; b = r + 18; r = 10; l = j + 14; j = b + 13; u = r + 4; k = u + 13; q = i + 18; h = e + 4; m = w + 4; e = l + 10; f = h + 19. Given that r = 10, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 15", "g": "f + 17", "y": "g + 12", "w": "y + 11", "d": "w + 19", "s": "d + 13", "e": "j + 7", "i": "e + 5", "v": "i + 8", "b": "v + 10", "p": "b + 13", "z": "p + 13", "j": 6}, "premises": {"j": 6}, "target": "s"}, "answer": {"steps": [["d", "w + 19", "w + 32"], ["w", "y + 11", "y + 43"], ["y", "g + 12", "g + 55"], ["g", "f + 17", "f + 72"], ["f", "j + 15", "j + 87"], ["j", 6, "93"]], "target_var_name": "s", "target_value": 93, "value_dict": {"j": 6}, "is_reverse": true}} | 7,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 12; e = j + 7; v = i + 8; i = e + 5; s = d + 13; b = v + 10; p = b + 13; w = y + 11; j = 6; f = j + 15; z = p + 13; d = w + 19; g = f + 17. If j = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 19 to s, which gives s = w + 32.\n2. Substitute w = y + 11 to s, which gives s = y + 43.\n3. Substitute y = g + 12 to s, which gives s = g + 55.\n4. Substitute g = f + 17 to s, which gives s = f + 72.\n5. Substitute f = j + 15 to s, which gives s = j + 87.\n6. Substitute j = 6 to s, which gives s = 93.\n\nThus, the final answer is s = \\boxed{93}.",
"index": 7603,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 12; e = j + 7; v = i + 8; i = e + 5; s = d + 13; b = v + 10; p = b + 13; w = y + 11; j = 6; f = j + 15; z = p + 13; d = w + 19; g = f + 17. If j = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 7", "y": "f + 4", "u": "y + 3", "r": "u + 8", "m": "r + 15", "o": "m + 3", "x": "i + 5", "j": "x + 8", "g": "j + 5", "s": "g + 15", "w": "s + 20", "p": "w + 14", "i": 11}, "premises": {"i": 11}, "target": "o"}, "answer": {"steps": [["m", "r + 15", "r + 18"], ["r", "u + 8", "u + 26"], ["u", "y + 3", "y + 29"], ["y", "f + 4", "f + 33"], ["f", "i + 7", "i + 40"], ["i", 11, "51"]], "target_var_name": "o", "target_value": 51, "value_dict": {"i": 11}, "is_reverse": true}} | 7,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = j + 5; x = i + 5; p = w + 14; w = s + 20; o = m + 3; f = i + 7; y = f + 4; j = x + 8; u = y + 3; i = 11; s = g + 15; r = u + 8; m = r + 15. If i = 11, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 15 to o, which gives o = r + 18.\n2. Substitute r = u + 8 to o, which gives o = u + 26.\n3. Substitute u = y + 3 to o, which gives o = y + 29.\n4. Substitute y = f + 4 to o, which gives o = f + 33.\n5. Substitute f = i + 7 to o, which gives o = i + 40.\n6. Substitute i = 11 to o, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 7604,
"question": "Consider a system of variables where each variable is defined as follows: g = j + 5; x = i + 5; p = w + 14; w = s + 20; o = m + 3; f = i + 7; y = f + 4; j = x + 8; u = y + 3; i = 11; s = g + 15; r = u + 8; m = r + 15. If i = 11, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 2", "p": "q + 13", "l": "p + 20", "r": "l + 20", "u": "r + 10", "e": "u + 19", "g": "o + 18", "s": "g + 18", "y": "s + 3", "t": "y + 10", "h": "t + 18", "z": "h + 12", "o": 13}, "premises": {"o": 13}, "target": "e"}, "answer": {"steps": [["u", "r + 10", "r + 29"], ["r", "l + 20", "l + 49"], ["l", "p + 20", "p + 69"], ["p", "q + 13", "q + 82"], ["q", "o + 2", "o + 84"], ["o", 13, "97"]], "target_var_name": "e", "target_value": 97, "value_dict": {"o": 13}, "is_reverse": true}} | 7,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 2; l = p + 20; y = s + 3; g = o + 18; t = y + 10; h = t + 18; z = h + 12; o = 13; e = u + 19; u = r + 10; p = q + 13; r = l + 20; s = g + 18. If o = 13, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 10 to e, which gives e = r + 29.\n2. Substitute r = l + 20 to e, which gives e = l + 49.\n3. Substitute l = p + 20 to e, which gives e = p + 69.\n4. Substitute p = q + 13 to e, which gives e = q + 82.\n5. Substitute q = o + 2 to e, which gives e = o + 84.\n6. Substitute o = 13 to e, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 7605,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 2; l = p + 20; y = s + 3; g = o + 18; t = y + 10; h = t + 18; z = h + 12; o = 13; e = u + 19; u = r + 10; p = q + 13; r = l + 20; s = g + 18. If o = 13, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 7", "e": "i + 9", "b": "e + 2", "a": "b + 6", "p": "a + 12", "t": "p + 14", "u": "r + 4", "h": "u + 17", "c": "h + 19", "w": "c + 5", "j": "w + 16", "y": "j + 17", "r": 5}, "premises": {"r": 5}, "target": "t"}, "answer": {"steps": [["p", "a + 12", "a + 26"], ["a", "b + 6", "b + 32"], ["b", "e + 2", "e + 34"], ["e", "i + 9", "i + 43"], ["i", "r + 7", "r + 50"], ["r", 5, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"r": 5}, "is_reverse": true}} | 7,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = b + 6; y = j + 17; w = c + 5; t = p + 14; b = e + 2; c = h + 19; e = i + 9; u = r + 4; h = u + 17; r = 5; p = a + 12; j = w + 16; i = r + 7. Given that r = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 12 to t, which gives t = a + 26.\n2. Substitute a = b + 6 to t, which gives t = b + 32.\n3. Substitute b = e + 2 to t, which gives t = e + 34.\n4. Substitute e = i + 9 to t, which gives t = i + 43.\n5. Substitute i = r + 7 to t, which gives t = r + 50.\n6. Substitute r = 5 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 7606,
"question": "Suppose a collection of variables is related by the following definitions: a = b + 6; y = j + 17; w = c + 5; t = p + 14; b = e + 2; c = h + 19; e = i + 9; u = r + 4; h = u + 17; r = 5; p = a + 12; j = w + 16; i = r + 7. Given that r = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 13", "c": "j + 6", "i": "c + 20", "y": "i + 8", "e": "y + 6", "g": "e + 6", "n": "f + 20", "d": "n + 1", "m": "d + 8", "k": "m + 14", "o": "k + 19", "z": "o + 6", "f": 5}, "premises": {"f": 5}, "target": "g"}, "answer": {"steps": [["e", "y + 6", "y + 12"], ["y", "i + 8", "i + 20"], ["i", "c + 20", "c + 40"], ["c", "j + 6", "j + 46"], ["j", "f + 13", "f + 59"], ["f", 5, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"f": 5}, "is_reverse": true}} | 7,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = m + 14; j = f + 13; g = e + 6; y = i + 8; f = 5; o = k + 19; i = c + 20; m = d + 8; z = o + 6; e = y + 6; c = j + 6; n = f + 20; d = n + 1. If f = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 6 to g, which gives g = y + 12.\n2. Substitute y = i + 8 to g, which gives g = i + 20.\n3. Substitute i = c + 20 to g, which gives g = c + 40.\n4. Substitute c = j + 6 to g, which gives g = j + 46.\n5. Substitute j = f + 13 to g, which gives g = f + 59.\n6. Substitute f = 5 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 7607,
"question": "Consider a system of variables where each variable is defined as follows: k = m + 14; j = f + 13; g = e + 6; y = i + 8; f = 5; o = k + 19; i = c + 20; m = d + 8; z = o + 6; e = y + 6; c = j + 6; n = f + 20; d = n + 1. If f = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 3", "m": "p + 8", "c": "m + 7", "z": "c + 20", "f": "z + 18", "o": "f + 18", "k": "d + 20", "t": "k + 9", "i": "t + 18", "g": "i + 17", "q": "g + 11", "w": "q + 10", "d": 18}, "premises": {"d": 18}, "target": "o"}, "answer": {"steps": [["f", "z + 18", "z + 36"], ["z", "c + 20", "c + 56"], ["c", "m + 7", "m + 63"], ["m", "p + 8", "p + 71"], ["p", "d + 3", "d + 74"], ["d", 18, "92"]], "target_var_name": "o", "target_value": 92, "value_dict": {"d": 18}, "is_reverse": true}} | 7,608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 11; m = p + 8; d = 18; o = f + 18; i = t + 18; g = i + 17; w = q + 10; k = d + 20; p = d + 3; c = m + 7; f = z + 18; t = k + 9; z = c + 20. If d = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 18 to o, which gives o = z + 36.\n2. Substitute z = c + 20 to o, which gives o = c + 56.\n3. Substitute c = m + 7 to o, which gives o = m + 63.\n4. Substitute m = p + 8 to o, which gives o = p + 71.\n5. Substitute p = d + 3 to o, which gives o = d + 74.\n6. Substitute d = 18 to o, which gives o = 92.\n\nThus, the final answer is o = \\boxed{92}.",
"index": 7608,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 11; m = p + 8; d = 18; o = f + 18; i = t + 18; g = i + 17; w = q + 10; k = d + 20; p = d + 3; c = m + 7; f = z + 18; t = k + 9; z = c + 20. If d = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 9", "a": "r + 17", "n": "a + 2", "u": "n + 10", "q": "u + 6", "p": "q + 15", "x": "b + 15", "e": "x + 7", "m": "e + 15", "i": "m + 19", "y": "i + 18", "v": "y + 5", "b": 8}, "premises": {"b": 8}, "target": "p"}, "answer": {"steps": [["q", "u + 6", "u + 21"], ["u", "n + 10", "n + 31"], ["n", "a + 2", "a + 33"], ["a", "r + 17", "r + 50"], ["r", "b + 9", "b + 59"], ["b", 8, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"b": 8}, "is_reverse": true}} | 7,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 2; b = 8; i = m + 19; v = y + 5; a = r + 17; m = e + 15; y = i + 18; u = n + 10; r = b + 9; e = x + 7; q = u + 6; p = q + 15; x = b + 15. Given that b = 8, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 6 to p, which gives p = u + 21.\n2. Substitute u = n + 10 to p, which gives p = n + 31.\n3. Substitute n = a + 2 to p, which gives p = a + 33.\n4. Substitute a = r + 17 to p, which gives p = r + 50.\n5. Substitute r = b + 9 to p, which gives p = b + 59.\n6. Substitute b = 8 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 7609,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 2; b = 8; i = m + 19; v = y + 5; a = r + 17; m = e + 15; y = i + 18; u = n + 10; r = b + 9; e = x + 7; q = u + 6; p = q + 15; x = b + 15. Given that b = 8, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 19", "u": "e + 12", "i": "u + 5", "c": "i + 15", "p": "c + 15", "d": "p + 10", "b": "m + 6", "y": "b + 15", "o": "y + 14", "v": "o + 18", "f": "v + 15", "w": "f + 17", "m": 10}, "premises": {"m": 10}, "target": "d"}, "answer": {"steps": [["p", "c + 15", "c + 25"], ["c", "i + 15", "i + 40"], ["i", "u + 5", "u + 45"], ["u", "e + 12", "e + 57"], ["e", "m + 19", "m + 76"], ["m", 10, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"m": 10}, "is_reverse": true}} | 7,610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 12; o = y + 14; b = m + 6; p = c + 15; m = 10; e = m + 19; d = p + 10; y = b + 15; c = i + 15; f = v + 15; v = o + 18; w = f + 17; i = u + 5. Given that m = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 15 to d, which gives d = c + 25.\n2. Substitute c = i + 15 to d, which gives d = i + 40.\n3. Substitute i = u + 5 to d, which gives d = u + 45.\n4. Substitute u = e + 12 to d, which gives d = e + 57.\n5. Substitute e = m + 19 to d, which gives d = m + 76.\n6. Substitute m = 10 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 7610,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 12; o = y + 14; b = m + 6; p = c + 15; m = 10; e = m + 19; d = p + 10; y = b + 15; c = i + 15; f = v + 15; v = o + 18; w = f + 17; i = u + 5. Given that m = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 10", "r": "x + 20", "h": "r + 17", "t": "h + 9", "f": "t + 7", "i": "f + 15", "w": "u + 14", "a": "w + 15", "l": "a + 15", "q": "l + 19", "o": "q + 15", "c": "o + 4", "u": 17}, "premises": {"u": 17}, "target": "i"}, "answer": {"steps": [["f", "t + 7", "t + 22"], ["t", "h + 9", "h + 31"], ["h", "r + 17", "r + 48"], ["r", "x + 20", "x + 68"], ["x", "u + 10", "u + 78"], ["u", 17, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"u": 17}, "is_reverse": true}} | 7,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 19; w = u + 14; f = t + 7; r = x + 20; c = o + 4; o = q + 15; a = w + 15; t = h + 9; l = a + 15; x = u + 10; h = r + 17; i = f + 15; u = 17. If u = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 7 to i, which gives i = t + 22.\n2. Substitute t = h + 9 to i, which gives i = h + 31.\n3. Substitute h = r + 17 to i, which gives i = r + 48.\n4. Substitute r = x + 20 to i, which gives i = x + 68.\n5. Substitute x = u + 10 to i, which gives i = u + 78.\n6. Substitute u = 17 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 7611,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 19; w = u + 14; f = t + 7; r = x + 20; c = o + 4; o = q + 15; a = w + 15; t = h + 9; l = a + 15; x = u + 10; h = r + 17; i = f + 15; u = 17. If u = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 6", "h": "e + 7", "n": "h + 19", "z": "n + 7", "x": "z + 17", "f": "x + 13", "g": "s + 10", "j": "g + 5", "q": "j + 3", "d": "q + 9", "c": "d + 19", "i": "c + 8", "s": 20}, "premises": {"s": 20}, "target": "f"}, "answer": {"steps": [["x", "z + 17", "z + 30"], ["z", "n + 7", "n + 37"], ["n", "h + 19", "h + 56"], ["h", "e + 7", "e + 63"], ["e", "s + 6", "s + 69"], ["s", 20, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"s": 20}, "is_reverse": true}} | 7,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 7; i = c + 8; e = s + 6; q = j + 3; g = s + 10; j = g + 5; x = z + 17; c = d + 19; n = h + 19; d = q + 9; s = 20; f = x + 13; z = n + 7. If s = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 17 to f, which gives f = z + 30.\n2. Substitute z = n + 7 to f, which gives f = n + 37.\n3. Substitute n = h + 19 to f, which gives f = h + 56.\n4. Substitute h = e + 7 to f, which gives f = e + 63.\n5. Substitute e = s + 6 to f, which gives f = s + 69.\n6. Substitute s = 20 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 7612,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 7; i = c + 8; e = s + 6; q = j + 3; g = s + 10; j = g + 5; x = z + 17; c = d + 19; n = h + 19; d = q + 9; s = 20; f = x + 13; z = n + 7. If s = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 1", "n": "e + 2", "j": "n + 13", "u": "j + 1", "r": "u + 1", "h": "r + 13", "q": "l + 18", "i": "q + 20", "a": "i + 5", "f": "a + 13", "b": "f + 20", "s": "b + 1", "l": 15}, "premises": {"l": 15}, "target": "h"}, "answer": {"steps": [["r", "u + 1", "u + 14"], ["u", "j + 1", "j + 15"], ["j", "n + 13", "n + 28"], ["n", "e + 2", "e + 30"], ["e", "l + 1", "l + 31"], ["l", 15, "46"]], "target_var_name": "h", "target_value": 46, "value_dict": {"l": 15}, "is_reverse": true}} | 7,613 | 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 = b + 1; i = q + 20; h = r + 13; f = a + 13; n = e + 2; l = 15; q = l + 18; a = i + 5; b = f + 20; e = l + 1; r = u + 1; u = j + 1; j = n + 13. If l = 15, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 1 to h, which gives h = u + 14.\n2. Substitute u = j + 1 to h, which gives h = j + 15.\n3. Substitute j = n + 13 to h, which gives h = n + 28.\n4. Substitute n = e + 2 to h, which gives h = e + 30.\n5. Substitute e = l + 1 to h, which gives h = l + 31.\n6. Substitute l = 15 to h, which gives h = 46.\n\nThus, the final answer is h = \\boxed{46}.",
"index": 7613,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 1; i = q + 20; h = r + 13; f = a + 13; n = e + 2; l = 15; q = l + 18; a = i + 5; b = f + 20; e = l + 1; r = u + 1; u = j + 1; j = n + 13. If l = 15, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 15", "x": "v + 13", "l": "x + 4", "a": "l + 9", "k": "a + 16", "g": "k + 17", "n": "b + 9", "w": "n + 5", "d": "w + 12", "z": "d + 6", "y": "z + 20", "o": "y + 4", "b": 1}, "premises": {"b": 1}, "target": "g"}, "answer": {"steps": [["k", "a + 16", "a + 33"], ["a", "l + 9", "l + 42"], ["l", "x + 4", "x + 46"], ["x", "v + 13", "v + 59"], ["v", "b + 15", "b + 74"], ["b", 1, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"b": 1}, "is_reverse": true}} | 7,614 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 17; d = w + 12; y = z + 20; n = b + 9; x = v + 13; b = 1; v = b + 15; o = y + 4; k = a + 16; w = n + 5; a = l + 9; l = x + 4; z = d + 6. If b = 1, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 16 to g, which gives g = a + 33.\n2. Substitute a = l + 9 to g, which gives g = l + 42.\n3. Substitute l = x + 4 to g, which gives g = x + 46.\n4. Substitute x = v + 13 to g, which gives g = v + 59.\n5. Substitute v = b + 15 to g, which gives g = b + 74.\n6. Substitute b = 1 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 7614,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 17; d = w + 12; y = z + 20; n = b + 9; x = v + 13; b = 1; v = b + 15; o = y + 4; k = a + 16; w = n + 5; a = l + 9; l = x + 4; z = d + 6. If b = 1, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 19", "i": "o + 19", "c": "i + 12", "r": "c + 8", "x": "r + 3", "d": "x + 1", "y": "u + 15", "z": "y + 9", "l": "z + 13", "f": "l + 7", "m": "f + 3", "a": "m + 18", "u": 13}, "premises": {"u": 13}, "target": "d"}, "answer": {"steps": [["x", "r + 3", "r + 4"], ["r", "c + 8", "c + 12"], ["c", "i + 12", "i + 24"], ["i", "o + 19", "o + 43"], ["o", "u + 19", "u + 62"], ["u", 13, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"u": 13}, "is_reverse": true}} | 7,615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 13; l = z + 13; d = x + 1; z = y + 9; r = c + 8; x = r + 3; a = m + 18; i = o + 19; m = f + 3; o = u + 19; y = u + 15; f = l + 7; c = i + 12. If u = 13, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 3 to d, which gives d = r + 4.\n2. Substitute r = c + 8 to d, which gives d = c + 12.\n3. Substitute c = i + 12 to d, which gives d = i + 24.\n4. Substitute i = o + 19 to d, which gives d = o + 43.\n5. Substitute o = u + 19 to d, which gives d = u + 62.\n6. Substitute u = 13 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 7615,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 13; l = z + 13; d = x + 1; z = y + 9; r = c + 8; x = r + 3; a = m + 18; i = o + 19; m = f + 3; o = u + 19; y = u + 15; f = l + 7; c = i + 12. If u = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 15", "u": "w + 4", "v": "u + 13", "h": "v + 5", "x": "h + 11", "c": "x + 8", "q": "k + 13", "y": "q + 16", "z": "y + 15", "f": "z + 19", "m": "f + 12", "r": "m + 9", "k": 3}, "premises": {"k": 3}, "target": "c"}, "answer": {"steps": [["x", "h + 11", "h + 19"], ["h", "v + 5", "v + 24"], ["v", "u + 13", "u + 37"], ["u", "w + 4", "w + 41"], ["w", "k + 15", "k + 56"], ["k", 3, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"k": 3}, "is_reverse": true}} | 7,616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 5; r = m + 9; v = u + 13; u = w + 4; y = q + 16; f = z + 19; w = k + 15; c = x + 8; q = k + 13; z = y + 15; k = 3; x = h + 11; m = f + 12. Given that k = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 11 to c, which gives c = h + 19.\n2. Substitute h = v + 5 to c, which gives c = v + 24.\n3. Substitute v = u + 13 to c, which gives c = u + 37.\n4. Substitute u = w + 4 to c, which gives c = w + 41.\n5. Substitute w = k + 15 to c, which gives c = k + 56.\n6. Substitute k = 3 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 7616,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 5; r = m + 9; v = u + 13; u = w + 4; y = q + 16; f = z + 19; w = k + 15; c = x + 8; q = k + 13; z = y + 15; k = 3; x = h + 11; m = f + 12. Given that k = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 6", "v": "p + 9", "a": "v + 13", "h": "a + 7", "b": "h + 10", "q": "b + 19", "i": "c + 9", "d": "i + 1", "k": "d + 19", "m": "k + 5", "g": "m + 12", "l": "g + 19", "c": 13}, "premises": {"c": 13}, "target": "q"}, "answer": {"steps": [["b", "h + 10", "h + 29"], ["h", "a + 7", "a + 36"], ["a", "v + 13", "v + 49"], ["v", "p + 9", "p + 58"], ["p", "c + 6", "c + 64"], ["c", 13, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"c": 13}, "is_reverse": true}} | 7,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 19; i = c + 9; d = i + 1; m = k + 5; p = c + 6; g = m + 12; v = p + 9; a = v + 13; c = 13; b = h + 10; l = g + 19; q = b + 19; h = a + 7. If c = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 10 to q, which gives q = h + 29.\n2. Substitute h = a + 7 to q, which gives q = a + 36.\n3. Substitute a = v + 13 to q, which gives q = v + 49.\n4. Substitute v = p + 9 to q, which gives q = p + 58.\n5. Substitute p = c + 6 to q, which gives q = c + 64.\n6. Substitute c = 13 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 7617,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 19; i = c + 9; d = i + 1; m = k + 5; p = c + 6; g = m + 12; v = p + 9; a = v + 13; c = 13; b = h + 10; l = g + 19; q = b + 19; h = a + 7. If c = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 2", "x": "w + 17", "f": "x + 18", "h": "f + 14", "p": "h + 7", "i": "p + 5", "k": "l + 11", "a": "k + 4", "b": "a + 8", "j": "b + 6", "m": "j + 17", "d": "m + 2", "l": 1}, "premises": {"l": 1}, "target": "i"}, "answer": {"steps": [["p", "h + 7", "h + 12"], ["h", "f + 14", "f + 26"], ["f", "x + 18", "x + 44"], ["x", "w + 17", "w + 61"], ["w", "l + 2", "l + 63"], ["l", 1, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"l": 1}, "is_reverse": true}} | 7,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = l + 2; k = l + 11; m = j + 17; h = f + 14; b = a + 8; p = h + 7; d = m + 2; x = w + 17; i = p + 5; l = 1; a = k + 4; f = x + 18; j = b + 6. If l = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 7 to i, which gives i = h + 12.\n2. Substitute h = f + 14 to i, which gives i = f + 26.\n3. Substitute f = x + 18 to i, which gives i = x + 44.\n4. Substitute x = w + 17 to i, which gives i = w + 61.\n5. Substitute w = l + 2 to i, which gives i = l + 63.\n6. Substitute l = 1 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 7618,
"question": "Consider a system of variables where each variable is defined as follows: w = l + 2; k = l + 11; m = j + 17; h = f + 14; b = a + 8; p = h + 7; d = m + 2; x = w + 17; i = p + 5; l = 1; a = k + 4; f = x + 18; j = b + 6. If l = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 6", "p": "m + 20", "f": "p + 12", "a": "f + 1", "r": "a + 15", "h": "r + 10", "g": "z + 17", "c": "g + 7", "e": "c + 11", "k": "e + 17", "u": "k + 17", "t": "u + 13", "z": 1}, "premises": {"z": 1}, "target": "h"}, "answer": {"steps": [["r", "a + 15", "a + 25"], ["a", "f + 1", "f + 26"], ["f", "p + 12", "p + 38"], ["p", "m + 20", "m + 58"], ["m", "z + 6", "z + 64"], ["z", 1, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"z": 1}, "is_reverse": true}} | 7,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 17; g = z + 17; t = u + 13; r = a + 15; a = f + 1; c = g + 7; m = z + 6; u = k + 17; f = p + 12; z = 1; e = c + 11; p = m + 20; h = r + 10. If z = 1, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 15 to h, which gives h = a + 25.\n2. Substitute a = f + 1 to h, which gives h = f + 26.\n3. Substitute f = p + 12 to h, which gives h = p + 38.\n4. Substitute p = m + 20 to h, which gives h = m + 58.\n5. Substitute m = z + 6 to h, which gives h = z + 64.\n6. Substitute z = 1 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 7619,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 17; g = z + 17; t = u + 13; r = a + 15; a = f + 1; c = g + 7; m = z + 6; u = k + 17; f = p + 12; z = 1; e = c + 11; p = m + 20; h = r + 10. If z = 1, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 6", "r": "j + 11", "y": "r + 11", "a": "y + 14", "o": "a + 12", "m": "o + 5", "i": "k + 8", "n": "i + 10", "e": "n + 14", "f": "e + 10", "l": "f + 4", "x": "l + 18", "k": 4}, "premises": {"k": 4}, "target": "m"}, "answer": {"steps": [["o", "a + 12", "a + 17"], ["a", "y + 14", "y + 31"], ["y", "r + 11", "r + 42"], ["r", "j + 11", "j + 53"], ["j", "k + 6", "k + 59"], ["k", 4, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"k": 4}, "is_reverse": true}} | 7,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 12; y = r + 11; l = f + 4; f = e + 10; k = 4; e = n + 14; j = k + 6; x = l + 18; m = o + 5; a = y + 14; r = j + 11; i = k + 8; n = i + 10. If k = 4, determine the 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 o = a + 12 to m, which gives m = a + 17.\n2. Substitute a = y + 14 to m, which gives m = y + 31.\n3. Substitute y = r + 11 to m, which gives m = r + 42.\n4. Substitute r = j + 11 to m, which gives m = j + 53.\n5. Substitute j = k + 6 to m, which gives m = k + 59.\n6. Substitute k = 4 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 7620,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 12; y = r + 11; l = f + 4; f = e + 10; k = 4; e = n + 14; j = k + 6; x = l + 18; m = o + 5; a = y + 14; r = j + 11; i = k + 8; n = i + 10. If k = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 9", "f": "g + 3", "k": "f + 5", "n": "k + 4", "x": "n + 11", "b": "x + 19", "r": "q + 9", "w": "r + 4", "v": "w + 18", "t": "v + 19", "s": "t + 13", "e": "s + 3", "q": 16}, "premises": {"q": 16}, "target": "b"}, "answer": {"steps": [["x", "n + 11", "n + 30"], ["n", "k + 4", "k + 34"], ["k", "f + 5", "f + 39"], ["f", "g + 3", "g + 42"], ["g", "q + 9", "q + 51"], ["q", 16, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"q": 16}, "is_reverse": true}} | 7,621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 5; f = g + 3; x = n + 11; b = x + 19; v = w + 18; n = k + 4; t = v + 19; g = q + 9; e = s + 3; r = q + 9; w = r + 4; q = 16; s = t + 13. Given that q = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 11 to b, which gives b = n + 30.\n2. Substitute n = k + 4 to b, which gives b = k + 34.\n3. Substitute k = f + 5 to b, which gives b = f + 39.\n4. Substitute f = g + 3 to b, which gives b = g + 42.\n5. Substitute g = q + 9 to b, which gives b = q + 51.\n6. Substitute q = 16 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 7621,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 5; f = g + 3; x = n + 11; b = x + 19; v = w + 18; n = k + 4; t = v + 19; g = q + 9; e = s + 3; r = q + 9; w = r + 4; q = 16; s = t + 13. Given that q = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 13", "k": "l + 16", "v": "k + 18", "m": "v + 8", "g": "m + 16", "d": "g + 2", "i": "n + 17", "o": "i + 14", "t": "o + 11", "z": "t + 20", "q": "z + 12", "b": "q + 9", "n": 17}, "premises": {"n": 17}, "target": "d"}, "answer": {"steps": [["g", "m + 16", "m + 18"], ["m", "v + 8", "v + 26"], ["v", "k + 18", "k + 44"], ["k", "l + 16", "l + 60"], ["l", "n + 13", "n + 73"], ["n", 17, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"n": 17}, "is_reverse": true}} | 7,622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 18; b = q + 9; i = n + 17; m = v + 8; t = o + 11; k = l + 16; q = z + 12; l = n + 13; n = 17; g = m + 16; z = t + 20; o = i + 14; d = g + 2. Given that n = 17, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 16 to d, which gives d = m + 18.\n2. Substitute m = v + 8 to d, which gives d = v + 26.\n3. Substitute v = k + 18 to d, which gives d = k + 44.\n4. Substitute k = l + 16 to d, which gives d = l + 60.\n5. Substitute l = n + 13 to d, which gives d = n + 73.\n6. Substitute n = 17 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 7622,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 18; b = q + 9; i = n + 17; m = v + 8; t = o + 11; k = l + 16; q = z + 12; l = n + 13; n = 17; g = m + 16; z = t + 20; o = i + 14; d = g + 2. Given that n = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 15", "j": "p + 17", "z": "j + 13", "u": "z + 13", "y": "u + 11", "a": "y + 2", "c": "e + 1", "w": "c + 2", "k": "w + 4", "i": "k + 7", "o": "i + 8", "l": "o + 12", "e": 7}, "premises": {"e": 7}, "target": "a"}, "answer": {"steps": [["y", "u + 11", "u + 13"], ["u", "z + 13", "z + 26"], ["z", "j + 13", "j + 39"], ["j", "p + 17", "p + 56"], ["p", "e + 15", "e + 71"], ["e", 7, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"e": 7}, "is_reverse": true}} | 7,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 7; y = u + 11; w = c + 2; c = e + 1; a = y + 2; j = p + 17; z = j + 13; l = o + 12; u = z + 13; p = e + 15; e = 7; o = i + 8; k = w + 4. If e = 7, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 11 to a, which gives a = u + 13.\n2. Substitute u = z + 13 to a, which gives a = z + 26.\n3. Substitute z = j + 13 to a, which gives a = j + 39.\n4. Substitute j = p + 17 to a, which gives a = p + 56.\n5. Substitute p = e + 15 to a, which gives a = e + 71.\n6. Substitute e = 7 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 7623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 7; y = u + 11; w = c + 2; c = e + 1; a = y + 2; j = p + 17; z = j + 13; l = o + 12; u = z + 13; p = e + 15; e = 7; o = i + 8; k = w + 4. If e = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 1", "p": "r + 19", "d": "p + 13", "v": "d + 19", "w": "v + 8", "j": "w + 20", "g": "k + 14", "t": "g + 14", "l": "t + 6", "m": "l + 11", "e": "m + 10", "o": "e + 11", "k": 10}, "premises": {"k": 10}, "target": "j"}, "answer": {"steps": [["w", "v + 8", "v + 28"], ["v", "d + 19", "d + 47"], ["d", "p + 13", "p + 60"], ["p", "r + 19", "r + 79"], ["r", "k + 1", "k + 80"], ["k", 10, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"k": 10}, "is_reverse": true}} | 7,624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 20; l = t + 6; t = g + 14; r = k + 1; d = p + 13; o = e + 11; w = v + 8; p = r + 19; g = k + 14; m = l + 11; e = m + 10; v = d + 19; k = 10. Given that k = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 8 to j, which gives j = v + 28.\n2. Substitute v = d + 19 to j, which gives j = d + 47.\n3. Substitute d = p + 13 to j, which gives j = p + 60.\n4. Substitute p = r + 19 to j, which gives j = r + 79.\n5. Substitute r = k + 1 to j, which gives j = k + 80.\n6. Substitute k = 10 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 7624,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 20; l = t + 6; t = g + 14; r = k + 1; d = p + 13; o = e + 11; w = v + 8; p = r + 19; g = k + 14; m = l + 11; e = m + 10; v = d + 19; k = 10. Given that k = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 18", "f": "k + 16", "w": "f + 11", "h": "w + 1", "q": "h + 18", "x": "q + 11", "v": "p + 10", "y": "v + 11", "j": "y + 18", "z": "j + 18", "u": "z + 19", "c": "u + 17", "p": 15}, "premises": {"p": 15}, "target": "x"}, "answer": {"steps": [["q", "h + 18", "h + 29"], ["h", "w + 1", "w + 30"], ["w", "f + 11", "f + 41"], ["f", "k + 16", "k + 57"], ["k", "p + 18", "p + 75"], ["p", 15, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"p": 15}, "is_reverse": true}} | 7,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 18; y = v + 11; z = j + 18; p = 15; k = p + 18; q = h + 18; h = w + 1; v = p + 10; w = f + 11; c = u + 17; f = k + 16; x = q + 11; u = z + 19. Given that p = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 18 to x, which gives x = h + 29.\n2. Substitute h = w + 1 to x, which gives x = w + 30.\n3. Substitute w = f + 11 to x, which gives x = f + 41.\n4. Substitute f = k + 16 to x, which gives x = k + 57.\n5. Substitute k = p + 18 to x, which gives x = p + 75.\n6. Substitute p = 15 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 7625,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 18; y = v + 11; z = j + 18; p = 15; k = p + 18; q = h + 18; h = w + 1; v = p + 10; w = f + 11; c = u + 17; f = k + 16; x = q + 11; u = z + 19. Given that p = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 6", "p": "i + 4", "k": "p + 20", "e": "k + 1", "c": "e + 8", "y": "c + 14", "o": "r + 10", "u": "o + 16", "z": "u + 19", "m": "z + 20", "b": "m + 16", "n": "b + 8", "r": 18}, "premises": {"r": 18}, "target": "y"}, "answer": {"steps": [["c", "e + 8", "e + 22"], ["e", "k + 1", "k + 23"], ["k", "p + 20", "p + 43"], ["p", "i + 4", "i + 47"], ["i", "r + 6", "r + 53"], ["r", 18, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"r": 18}, "is_reverse": true}} | 7,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = e + 8; p = i + 4; z = u + 19; b = m + 16; i = r + 6; o = r + 10; r = 18; k = p + 20; y = c + 14; e = k + 1; n = b + 8; m = z + 20; u = o + 16. Given that r = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 8 to y, which gives y = e + 22.\n2. Substitute e = k + 1 to y, which gives y = k + 23.\n3. Substitute k = p + 20 to y, which gives y = p + 43.\n4. Substitute p = i + 4 to y, which gives y = i + 47.\n5. Substitute i = r + 6 to y, which gives y = r + 53.\n6. Substitute r = 18 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 7626,
"question": "Suppose a collection of variables is related by the following definitions: c = e + 8; p = i + 4; z = u + 19; b = m + 16; i = r + 6; o = r + 10; r = 18; k = p + 20; y = c + 14; e = k + 1; n = b + 8; m = z + 20; u = o + 16. Given that r = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 10", "t": "g + 17", "n": "t + 16", "h": "n + 16", "y": "h + 11", "r": "y + 4", "j": "f + 10", "l": "j + 12", "m": "l + 4", "c": "m + 10", "o": "c + 10", "p": "o + 6", "f": 20}, "premises": {"f": 20}, "target": "r"}, "answer": {"steps": [["y", "h + 11", "h + 15"], ["h", "n + 16", "n + 31"], ["n", "t + 16", "t + 47"], ["t", "g + 17", "g + 64"], ["g", "f + 10", "f + 74"], ["f", 20, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"f": 20}, "is_reverse": true}} | 7,627 | 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 = n + 16; y = h + 11; c = m + 10; t = g + 17; p = o + 6; l = j + 12; r = y + 4; f = 20; n = t + 16; o = c + 10; j = f + 10; g = f + 10; m = l + 4. If f = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 11 to r, which gives r = h + 15.\n2. Substitute h = n + 16 to r, which gives r = n + 31.\n3. Substitute n = t + 16 to r, which gives r = t + 47.\n4. Substitute t = g + 17 to r, which gives r = g + 64.\n5. Substitute g = f + 10 to r, which gives r = f + 74.\n6. Substitute f = 20 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 7627,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 16; y = h + 11; c = m + 10; t = g + 17; p = o + 6; l = j + 12; r = y + 4; f = 20; n = t + 16; o = c + 10; j = f + 10; g = f + 10; m = l + 4. If f = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 8", "s": "j + 2", "t": "s + 5", "e": "t + 6", "i": "e + 1", "m": "i + 2", "r": "d + 17", "b": "r + 1", "q": "b + 6", "v": "q + 13", "p": "v + 14", "x": "p + 15", "d": 16}, "premises": {"d": 16}, "target": "m"}, "answer": {"steps": [["i", "e + 1", "e + 3"], ["e", "t + 6", "t + 9"], ["t", "s + 5", "s + 14"], ["s", "j + 2", "j + 16"], ["j", "d + 8", "d + 24"], ["d", 16, "40"]], "target_var_name": "m", "target_value": 40, "value_dict": {"d": 16}, "is_reverse": true}} | 7,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 1; m = i + 2; r = d + 17; t = s + 5; p = v + 14; d = 16; v = q + 13; s = j + 2; b = r + 1; q = b + 6; j = d + 8; x = p + 15; e = t + 6. If d = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 1 to m, which gives m = e + 3.\n2. Substitute e = t + 6 to m, which gives m = t + 9.\n3. Substitute t = s + 5 to m, which gives m = s + 14.\n4. Substitute s = j + 2 to m, which gives m = j + 16.\n5. Substitute j = d + 8 to m, which gives m = d + 24.\n6. Substitute d = 16 to m, which gives m = 40.\n\nThus, the final answer is m = \\boxed{40}.",
"index": 7628,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 1; m = i + 2; r = d + 17; t = s + 5; p = v + 14; d = 16; v = q + 13; s = j + 2; b = r + 1; q = b + 6; j = d + 8; x = p + 15; e = t + 6. If d = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 16", "m": "s + 14", "h": "m + 4", "c": "h + 12", "o": "c + 19", "g": "o + 9", "u": "d + 17", "i": "u + 6", "f": "i + 9", "e": "f + 1", "b": "e + 6", "q": "b + 2", "d": 6}, "premises": {"d": 6}, "target": "g"}, "answer": {"steps": [["o", "c + 19", "c + 28"], ["c", "h + 12", "h + 40"], ["h", "m + 4", "m + 44"], ["m", "s + 14", "s + 58"], ["s", "d + 16", "d + 74"], ["d", 6, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"d": 6}, "is_reverse": true}} | 7,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 16; i = u + 6; c = h + 12; u = d + 17; m = s + 14; h = m + 4; q = b + 2; e = f + 1; o = c + 19; d = 6; f = i + 9; b = e + 6; g = o + 9. If d = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 19 to g, which gives g = c + 28.\n2. Substitute c = h + 12 to g, which gives g = h + 40.\n3. Substitute h = m + 4 to g, which gives g = m + 44.\n4. Substitute m = s + 14 to g, which gives g = s + 58.\n5. Substitute s = d + 16 to g, which gives g = d + 74.\n6. Substitute d = 6 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 7629,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 16; i = u + 6; c = h + 12; u = d + 17; m = s + 14; h = m + 4; q = b + 2; e = f + 1; o = c + 19; d = 6; f = i + 9; b = e + 6; g = o + 9. If d = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 4", "g": "z + 7", "w": "g + 12", "m": "w + 12", "d": "m + 8", "n": "d + 2", "o": "q + 17", "u": "o + 16", "r": "u + 1", "v": "r + 8", "h": "v + 5", "l": "h + 7", "q": 1}, "premises": {"q": 1}, "target": "n"}, "answer": {"steps": [["d", "m + 8", "m + 10"], ["m", "w + 12", "w + 22"], ["w", "g + 12", "g + 34"], ["g", "z + 7", "z + 41"], ["z", "q + 4", "q + 45"], ["q", 1, "46"]], "target_var_name": "n", "target_value": 46, "value_dict": {"q": 1}, "is_reverse": true}} | 7,630 | 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 = q + 4; q = 1; m = w + 12; l = h + 7; n = d + 2; w = g + 12; d = m + 8; h = v + 5; u = o + 16; v = r + 8; o = q + 17; r = u + 1; g = z + 7. If q = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 8 to n, which gives n = m + 10.\n2. Substitute m = w + 12 to n, which gives n = w + 22.\n3. Substitute w = g + 12 to n, which gives n = g + 34.\n4. Substitute g = z + 7 to n, which gives n = z + 41.\n5. Substitute z = q + 4 to n, which gives n = q + 45.\n6. Substitute q = 1 to n, which gives n = 46.\n\nThus, the final answer is n = \\boxed{46}.",
"index": 7630,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 4; q = 1; m = w + 12; l = h + 7; n = d + 2; w = g + 12; d = m + 8; h = v + 5; u = o + 16; v = r + 8; o = q + 17; r = u + 1; g = z + 7. If q = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 14", "f": "i + 10", "x": "f + 15", "z": "x + 12", "m": "z + 12", "v": "m + 1", "b": "y + 11", "k": "b + 19", "e": "k + 7", "a": "e + 12", "g": "a + 2", "p": "g + 5", "y": 19}, "premises": {"y": 19}, "target": "v"}, "answer": {"steps": [["m", "z + 12", "z + 13"], ["z", "x + 12", "x + 25"], ["x", "f + 15", "f + 40"], ["f", "i + 10", "i + 50"], ["i", "y + 14", "y + 64"], ["y", 19, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"y": 19}, "is_reverse": true}} | 7,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = a + 2; a = e + 12; z = x + 12; b = y + 11; x = f + 15; i = y + 14; p = g + 5; m = z + 12; f = i + 10; v = m + 1; k = b + 19; y = 19; e = k + 7. If y = 19, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 12 to v, which gives v = z + 13.\n2. Substitute z = x + 12 to v, which gives v = x + 25.\n3. Substitute x = f + 15 to v, which gives v = f + 40.\n4. Substitute f = i + 10 to v, which gives v = i + 50.\n5. Substitute i = y + 14 to v, which gives v = y + 64.\n6. Substitute y = 19 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 7631,
"question": "Consider a system of variables where each variable is defined as follows: g = a + 2; a = e + 12; z = x + 12; b = y + 11; x = f + 15; i = y + 14; p = g + 5; m = z + 12; f = i + 10; v = m + 1; k = b + 19; y = 19; e = k + 7. If y = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 6", "w": "n + 13", "o": "w + 9", "m": "o + 2", "a": "m + 5", "t": "a + 11", "z": "x + 20", "y": "z + 10", "l": "y + 5", "b": "l + 12", "e": "b + 9", "u": "e + 3", "x": 2}, "premises": {"x": 2}, "target": "t"}, "answer": {"steps": [["a", "m + 5", "m + 16"], ["m", "o + 2", "o + 18"], ["o", "w + 9", "w + 27"], ["w", "n + 13", "n + 40"], ["n", "x + 6", "x + 46"], ["x", 2, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"x": 2}, "is_reverse": true}} | 7,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = e + 3; b = l + 12; n = x + 6; o = w + 9; w = n + 13; y = z + 10; x = 2; e = b + 9; l = y + 5; t = a + 11; z = x + 20; a = m + 5; m = o + 2. Given that x = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 5 to t, which gives t = m + 16.\n2. Substitute m = o + 2 to t, which gives t = o + 18.\n3. Substitute o = w + 9 to t, which gives t = w + 27.\n4. Substitute w = n + 13 to t, which gives t = n + 40.\n5. Substitute n = x + 6 to t, which gives t = x + 46.\n6. Substitute x = 2 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 7632,
"question": "Suppose a collection of variables is related by the following definitions: u = e + 3; b = l + 12; n = x + 6; o = w + 9; w = n + 13; y = z + 10; x = 2; e = b + 9; l = y + 5; t = a + 11; z = x + 20; a = m + 5; m = o + 2. Given that x = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 19", "z": "o + 2", "b": "z + 16", "l": "b + 2", "a": "l + 19", "v": "a + 18", "y": "p + 3", "m": "y + 16", "w": "m + 18", "x": "w + 16", "s": "x + 10", "i": "s + 7", "p": 17}, "premises": {"p": 17}, "target": "v"}, "answer": {"steps": [["a", "l + 19", "l + 37"], ["l", "b + 2", "b + 39"], ["b", "z + 16", "z + 55"], ["z", "o + 2", "o + 57"], ["o", "p + 19", "p + 76"], ["p", 17, "93"]], "target_var_name": "v", "target_value": 93, "value_dict": {"p": 17}, "is_reverse": true}} | 7,633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 16; l = b + 2; m = y + 16; y = p + 3; i = s + 7; w = m + 18; v = a + 18; a = l + 19; s = x + 10; x = w + 16; z = o + 2; p = 17; o = p + 19. Given that p = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 19 to v, which gives v = l + 37.\n2. Substitute l = b + 2 to v, which gives v = b + 39.\n3. Substitute b = z + 16 to v, which gives v = z + 55.\n4. Substitute z = o + 2 to v, which gives v = o + 57.\n5. Substitute o = p + 19 to v, which gives v = p + 76.\n6. Substitute p = 17 to v, which gives v = 93.\n\nThus, the final answer is v = \\boxed{93}.",
"index": 7633,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 16; l = b + 2; m = y + 16; y = p + 3; i = s + 7; w = m + 18; v = a + 18; a = l + 19; s = x + 10; x = w + 16; z = o + 2; p = 17; o = p + 19. Given that p = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 17", "t": "h + 18", "c": "t + 7", "p": "c + 13", "b": "p + 14", "r": "b + 1", "v": "o + 3", "f": "v + 17", "z": "f + 19", "w": "z + 3", "e": "w + 5", "i": "e + 6", "o": 20}, "premises": {"o": 20}, "target": "r"}, "answer": {"steps": [["b", "p + 14", "p + 15"], ["p", "c + 13", "c + 28"], ["c", "t + 7", "t + 35"], ["t", "h + 18", "h + 53"], ["h", "o + 17", "o + 70"], ["o", 20, "90"]], "target_var_name": "r", "target_value": 90, "value_dict": {"o": 20}, "is_reverse": true}} | 7,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 3; h = o + 17; w = z + 3; f = v + 17; z = f + 19; e = w + 5; c = t + 7; i = e + 6; b = p + 14; r = b + 1; t = h + 18; o = 20; p = c + 13. Given that o = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 14 to r, which gives r = p + 15.\n2. Substitute p = c + 13 to r, which gives r = c + 28.\n3. Substitute c = t + 7 to r, which gives r = t + 35.\n4. Substitute t = h + 18 to r, which gives r = h + 53.\n5. Substitute h = o + 17 to r, which gives r = o + 70.\n6. Substitute o = 20 to r, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 7634,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 3; h = o + 17; w = z + 3; f = v + 17; z = f + 19; e = w + 5; c = t + 7; i = e + 6; b = p + 14; r = b + 1; t = h + 18; o = 20; p = c + 13. Given that o = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 10", "k": "p + 8", "h": "k + 17", "e": "h + 3", "r": "e + 18", "c": "r + 1", "j": "g + 10", "b": "j + 9", "i": "b + 3", "z": "i + 3", "d": "z + 5", "l": "d + 15", "g": 7}, "premises": {"g": 7}, "target": "c"}, "answer": {"steps": [["r", "e + 18", "e + 19"], ["e", "h + 3", "h + 22"], ["h", "k + 17", "k + 39"], ["k", "p + 8", "p + 47"], ["p", "g + 10", "g + 57"], ["g", 7, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"g": 7}, "is_reverse": true}} | 7,635 | 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 = k + 17; i = b + 3; k = p + 8; l = d + 15; b = j + 9; z = i + 3; c = r + 1; d = z + 5; g = 7; r = e + 18; p = g + 10; j = g + 10; e = h + 3. If g = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 18 to c, which gives c = e + 19.\n2. Substitute e = h + 3 to c, which gives c = h + 22.\n3. Substitute h = k + 17 to c, which gives c = k + 39.\n4. Substitute k = p + 8 to c, which gives c = p + 47.\n5. Substitute p = g + 10 to c, which gives c = g + 57.\n6. Substitute g = 7 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 7635,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 17; i = b + 3; k = p + 8; l = d + 15; b = j + 9; z = i + 3; c = r + 1; d = z + 5; g = 7; r = e + 18; p = g + 10; j = g + 10; e = h + 3. If g = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 1", "u": "q + 19", "r": "u + 5", "s": "r + 16", "i": "s + 16", "f": "i + 13", "t": "n + 2", "o": "t + 17", "c": "o + 9", "w": "c + 7", "z": "w + 10", "l": "z + 7", "n": 11}, "premises": {"n": 11}, "target": "f"}, "answer": {"steps": [["i", "s + 16", "s + 29"], ["s", "r + 16", "r + 45"], ["r", "u + 5", "u + 50"], ["u", "q + 19", "q + 69"], ["q", "n + 1", "n + 70"], ["n", 11, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"n": 11}, "is_reverse": true}} | 7,636 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 7; z = w + 10; w = c + 7; c = o + 9; n = 11; f = i + 13; o = t + 17; i = s + 16; q = n + 1; t = n + 2; s = r + 16; r = u + 5; u = q + 19. Given that n = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 16 to f, which gives f = s + 29.\n2. Substitute s = r + 16 to f, which gives f = r + 45.\n3. Substitute r = u + 5 to f, which gives f = u + 50.\n4. Substitute u = q + 19 to f, which gives f = q + 69.\n5. Substitute q = n + 1 to f, which gives f = n + 70.\n6. Substitute n = 11 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 7636,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 7; z = w + 10; w = c + 7; c = o + 9; n = 11; f = i + 13; o = t + 17; i = s + 16; q = n + 1; t = n + 2; s = r + 16; r = u + 5; u = q + 19. Given that n = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 12", "k": "g + 12", "f": "k + 16", "m": "f + 2", "q": "m + 11", "p": "q + 4", "z": "y + 1", "w": "z + 5", "o": "w + 19", "b": "o + 11", "h": "b + 18", "t": "h + 1", "y": 17}, "premises": {"y": 17}, "target": "p"}, "answer": {"steps": [["q", "m + 11", "m + 15"], ["m", "f + 2", "f + 17"], ["f", "k + 16", "k + 33"], ["k", "g + 12", "g + 45"], ["g", "y + 12", "y + 57"], ["y", 17, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"y": 17}, "is_reverse": true}} | 7,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 12; q = m + 11; f = k + 16; w = z + 5; h = b + 18; z = y + 1; o = w + 19; k = g + 12; b = o + 11; m = f + 2; y = 17; p = q + 4; t = h + 1. If y = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 11 to p, which gives p = m + 15.\n2. Substitute m = f + 2 to p, which gives p = f + 17.\n3. Substitute f = k + 16 to p, which gives p = k + 33.\n4. Substitute k = g + 12 to p, which gives p = g + 45.\n5. Substitute g = y + 12 to p, which gives p = y + 57.\n6. Substitute y = 17 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 7637,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 12; q = m + 11; f = k + 16; w = z + 5; h = b + 18; z = y + 1; o = w + 19; k = g + 12; b = o + 11; m = f + 2; y = 17; p = q + 4; t = h + 1. If y = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 6", "m": "n + 10", "s": "m + 6", "f": "s + 8", "w": "f + 12", "z": "w + 17", "l": "v + 16", "q": "l + 20", "p": "q + 14", "d": "p + 2", "g": "d + 15", "b": "g + 5", "v": 18}, "premises": {"v": 18}, "target": "z"}, "answer": {"steps": [["w", "f + 12", "f + 29"], ["f", "s + 8", "s + 37"], ["s", "m + 6", "m + 43"], ["m", "n + 10", "n + 53"], ["n", "v + 6", "v + 59"], ["v", 18, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"v": 18}, "is_reverse": true}} | 7,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 2; z = w + 17; s = m + 6; m = n + 10; g = d + 15; q = l + 20; w = f + 12; v = 18; n = v + 6; p = q + 14; f = s + 8; b = g + 5; l = v + 16. If v = 18, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 12 to z, which gives z = f + 29.\n2. Substitute f = s + 8 to z, which gives z = s + 37.\n3. Substitute s = m + 6 to z, which gives z = m + 43.\n4. Substitute m = n + 10 to z, which gives z = n + 53.\n5. Substitute n = v + 6 to z, which gives z = v + 59.\n6. Substitute v = 18 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 7638,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 2; z = w + 17; s = m + 6; m = n + 10; g = d + 15; q = l + 20; w = f + 12; v = 18; n = v + 6; p = q + 14; f = s + 8; b = g + 5; l = v + 16. If v = 18, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 7", "z": "l + 12", "f": "z + 18", "y": "f + 16", "p": "y + 20", "m": "p + 16", "g": "h + 17", "t": "g + 14", "c": "t + 5", "x": "c + 16", "a": "x + 3", "k": "a + 19", "h": 8}, "premises": {"h": 8}, "target": "m"}, "answer": {"steps": [["p", "y + 20", "y + 36"], ["y", "f + 16", "f + 52"], ["f", "z + 18", "z + 70"], ["z", "l + 12", "l + 82"], ["l", "h + 7", "h + 89"], ["h", 8, "97"]], "target_var_name": "m", "target_value": 97, "value_dict": {"h": 8}, "is_reverse": true}} | 7,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 12; t = g + 14; c = t + 5; l = h + 7; m = p + 16; h = 8; k = a + 19; f = z + 18; y = f + 16; p = y + 20; x = c + 16; a = x + 3; g = h + 17. Given that h = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 20 to m, which gives m = y + 36.\n2. Substitute y = f + 16 to m, which gives m = f + 52.\n3. Substitute f = z + 18 to m, which gives m = z + 70.\n4. Substitute z = l + 12 to m, which gives m = l + 82.\n5. Substitute l = h + 7 to m, which gives m = h + 89.\n6. Substitute h = 8 to m, which gives m = 97.\n\nThus, the final answer is m = \\boxed{97}.",
"index": 7639,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 12; t = g + 14; c = t + 5; l = h + 7; m = p + 16; h = 8; k = a + 19; f = z + 18; y = f + 16; p = y + 20; x = c + 16; a = x + 3; g = h + 17. Given that h = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 6", "n": "k + 10", "c": "n + 19", "w": "c + 13", "i": "w + 7", "e": "i + 3", "l": "m + 10", "d": "l + 8", "s": "d + 10", "u": "s + 4", "o": "u + 7", "p": "o + 1", "m": 1}, "premises": {"m": 1}, "target": "e"}, "answer": {"steps": [["i", "w + 7", "w + 10"], ["w", "c + 13", "c + 23"], ["c", "n + 19", "n + 42"], ["n", "k + 10", "k + 52"], ["k", "m + 6", "m + 58"], ["m", 1, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"m": 1}, "is_reverse": true}} | 7,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 13; i = w + 7; n = k + 10; u = s + 4; l = m + 10; d = l + 8; p = o + 1; o = u + 7; m = 1; e = i + 3; s = d + 10; c = n + 19; k = m + 6. If m = 1, determine the 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 i = w + 7 to e, which gives e = w + 10.\n2. Substitute w = c + 13 to e, which gives e = c + 23.\n3. Substitute c = n + 19 to e, which gives e = n + 42.\n4. Substitute n = k + 10 to e, which gives e = k + 52.\n5. Substitute k = m + 6 to e, which gives e = m + 58.\n6. Substitute m = 1 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 7640,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 13; i = w + 7; n = k + 10; u = s + 4; l = m + 10; d = l + 8; p = o + 1; o = u + 7; m = 1; e = i + 3; s = d + 10; c = n + 19; k = m + 6. If m = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 17", "v": "o + 17", "l": "v + 17", "s": "l + 1", "q": "s + 14", "i": "q + 8", "m": "a + 1", "j": "m + 9", "n": "j + 12", "r": "n + 8", "u": "r + 20", "d": "u + 3", "a": 20}, "premises": {"a": 20}, "target": "i"}, "answer": {"steps": [["q", "s + 14", "s + 22"], ["s", "l + 1", "l + 23"], ["l", "v + 17", "v + 40"], ["v", "o + 17", "o + 57"], ["o", "a + 17", "a + 74"], ["a", 20, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"a": 20}, "is_reverse": true}} | 7,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 1; u = r + 20; o = a + 17; l = v + 17; q = s + 14; v = o + 17; j = m + 9; d = u + 3; n = j + 12; s = l + 1; i = q + 8; r = n + 8; a = 20. If a = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 14 to i, which gives i = s + 22.\n2. Substitute s = l + 1 to i, which gives i = l + 23.\n3. Substitute l = v + 17 to i, which gives i = v + 40.\n4. Substitute v = o + 17 to i, which gives i = o + 57.\n5. Substitute o = a + 17 to i, which gives i = a + 74.\n6. Substitute a = 20 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 7641,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 1; u = r + 20; o = a + 17; l = v + 17; q = s + 14; v = o + 17; j = m + 9; d = u + 3; n = j + 12; s = l + 1; i = q + 8; r = n + 8; a = 20. If a = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 15", "j": "w + 6", "q": "j + 9", "b": "q + 20", "s": "b + 5", "m": "s + 6", "l": "h + 8", "x": "l + 9", "k": "x + 13", "y": "k + 8", "t": "y + 13", "f": "t + 8", "h": 5}, "premises": {"h": 5}, "target": "m"}, "answer": {"steps": [["s", "b + 5", "b + 11"], ["b", "q + 20", "q + 31"], ["q", "j + 9", "j + 40"], ["j", "w + 6", "w + 46"], ["w", "h + 15", "h + 61"], ["h", 5, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"h": 5}, "is_reverse": true}} | 7,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = y + 13; h = 5; y = k + 8; l = h + 8; x = l + 9; b = q + 20; j = w + 6; q = j + 9; m = s + 6; f = t + 8; k = x + 13; s = b + 5; w = h + 15. If h = 5, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 5 to m, which gives m = b + 11.\n2. Substitute b = q + 20 to m, which gives m = q + 31.\n3. Substitute q = j + 9 to m, which gives m = j + 40.\n4. Substitute j = w + 6 to m, which gives m = w + 46.\n5. Substitute w = h + 15 to m, which gives m = h + 61.\n6. Substitute h = 5 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 7642,
"question": "Consider a system of variables where each variable is defined as follows: t = y + 13; h = 5; y = k + 8; l = h + 8; x = l + 9; b = q + 20; j = w + 6; q = j + 9; m = s + 6; f = t + 8; k = x + 13; s = b + 5; w = h + 15. If h = 5, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 4", "d": "g + 15", "a": "d + 9", "y": "a + 9", "j": "y + 11", "h": "j + 18", "f": "l + 3", "p": "f + 15", "z": "p + 6", "k": "z + 3", "c": "k + 7", "o": "c + 2", "l": 2}, "premises": {"l": 2}, "target": "h"}, "answer": {"steps": [["j", "y + 11", "y + 29"], ["y", "a + 9", "a + 38"], ["a", "d + 9", "d + 47"], ["d", "g + 15", "g + 62"], ["g", "l + 4", "l + 66"], ["l", 2, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"l": 2}, "is_reverse": true}} | 7,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 2; y = a + 9; z = p + 6; h = j + 18; j = y + 11; c = k + 7; d = g + 15; k = z + 3; a = d + 9; g = l + 4; l = 2; p = f + 15; f = l + 3. Given that l = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 11 to h, which gives h = y + 29.\n2. Substitute y = a + 9 to h, which gives h = a + 38.\n3. Substitute a = d + 9 to h, which gives h = d + 47.\n4. Substitute d = g + 15 to h, which gives h = g + 62.\n5. Substitute g = l + 4 to h, which gives h = l + 66.\n6. Substitute l = 2 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 7643,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 2; y = a + 9; z = p + 6; h = j + 18; j = y + 11; c = k + 7; d = g + 15; k = z + 3; a = d + 9; g = l + 4; l = 2; p = f + 15; f = l + 3. Given that l = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 20", "c": "o + 9", "u": "c + 8", "e": "u + 6", "t": "e + 12", "l": "t + 13", "i": "n + 7", "w": "i + 11", "m": "w + 17", "j": "m + 13", "f": "j + 9", "k": "f + 10", "n": 10}, "premises": {"n": 10}, "target": "l"}, "answer": {"steps": [["t", "e + 12", "e + 25"], ["e", "u + 6", "u + 31"], ["u", "c + 8", "c + 39"], ["c", "o + 9", "o + 48"], ["o", "n + 20", "n + 68"], ["n", 10, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"n": 10}, "is_reverse": true}} | 7,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 9; l = t + 13; j = m + 13; n = 10; u = c + 8; c = o + 9; i = n + 7; m = w + 17; o = n + 20; w = i + 11; t = e + 12; e = u + 6; k = f + 10. If n = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 12 to l, which gives l = e + 25.\n2. Substitute e = u + 6 to l, which gives l = u + 31.\n3. Substitute u = c + 8 to l, which gives l = c + 39.\n4. Substitute c = o + 9 to l, which gives l = o + 48.\n5. Substitute o = n + 20 to l, which gives l = n + 68.\n6. Substitute n = 10 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 7644,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 9; l = t + 13; j = m + 13; n = 10; u = c + 8; c = o + 9; i = n + 7; m = w + 17; o = n + 20; w = i + 11; t = e + 12; e = u + 6; k = f + 10. If n = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 6", "j": "k + 20", "m": "j + 4", "l": "m + 19", "c": "l + 10", "e": "c + 4", "p": "y + 5", "v": "p + 4", "g": "v + 10", "t": "g + 2", "s": "t + 5", "a": "s + 18", "y": 9}, "premises": {"y": 9}, "target": "e"}, "answer": {"steps": [["c", "l + 10", "l + 14"], ["l", "m + 19", "m + 33"], ["m", "j + 4", "j + 37"], ["j", "k + 20", "k + 57"], ["k", "y + 6", "y + 63"], ["y", 9, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"y": 9}, "is_reverse": true}} | 7,645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 19; e = c + 4; y = 9; c = l + 10; p = y + 5; a = s + 18; s = t + 5; j = k + 20; g = v + 10; k = y + 6; v = p + 4; t = g + 2; m = j + 4. Given that y = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 10 to e, which gives e = l + 14.\n2. Substitute l = m + 19 to e, which gives e = m + 33.\n3. Substitute m = j + 4 to e, which gives e = j + 37.\n4. Substitute j = k + 20 to e, which gives e = k + 57.\n5. Substitute k = y + 6 to e, which gives e = y + 63.\n6. Substitute y = 9 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 7645,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 19; e = c + 4; y = 9; c = l + 10; p = y + 5; a = s + 18; s = t + 5; j = k + 20; g = v + 10; k = y + 6; v = p + 4; t = g + 2; m = j + 4. Given that y = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 10", "n": "e + 16", "v": "n + 20", "h": "v + 8", "s": "h + 7", "z": "s + 2", "r": "j + 12", "u": "r + 9", "o": "u + 3", "m": "o + 9", "d": "m + 16", "c": "d + 16", "j": 19}, "premises": {"j": 19}, "target": "z"}, "answer": {"steps": [["s", "h + 7", "h + 9"], ["h", "v + 8", "v + 17"], ["v", "n + 20", "n + 37"], ["n", "e + 16", "e + 53"], ["e", "j + 10", "j + 63"], ["j", 19, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"j": 19}, "is_reverse": true}} | 7,646 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 8; r = j + 12; z = s + 2; j = 19; m = o + 9; u = r + 9; n = e + 16; o = u + 3; d = m + 16; s = h + 7; v = n + 20; e = j + 10; c = d + 16. If j = 19, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 7 to z, which gives z = h + 9.\n2. Substitute h = v + 8 to z, which gives z = v + 17.\n3. Substitute v = n + 20 to z, which gives z = n + 37.\n4. Substitute n = e + 16 to z, which gives z = e + 53.\n5. Substitute e = j + 10 to z, which gives z = j + 63.\n6. Substitute j = 19 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 7646,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 8; r = j + 12; z = s + 2; j = 19; m = o + 9; u = r + 9; n = e + 16; o = u + 3; d = m + 16; s = h + 7; v = n + 20; e = j + 10; c = d + 16. If j = 19, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 15", "h": "o + 2", "d": "h + 19", "w": "d + 15", "i": "w + 14", "e": "i + 6", "s": "n + 2", "c": "s + 18", "g": "c + 10", "j": "g + 18", "p": "j + 1", "m": "p + 2", "n": 4}, "premises": {"n": 4}, "target": "e"}, "answer": {"steps": [["i", "w + 14", "w + 20"], ["w", "d + 15", "d + 35"], ["d", "h + 19", "h + 54"], ["h", "o + 2", "o + 56"], ["o", "n + 15", "n + 71"], ["n", 4, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"n": 4}, "is_reverse": true}} | 7,647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 15; m = p + 2; e = i + 6; g = c + 10; h = o + 2; p = j + 1; c = s + 18; n = 4; s = n + 2; d = h + 19; w = d + 15; j = g + 18; i = w + 14. If n = 4, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 14 to e, which gives e = w + 20.\n2. Substitute w = d + 15 to e, which gives e = d + 35.\n3. Substitute d = h + 19 to e, which gives e = h + 54.\n4. Substitute h = o + 2 to e, which gives e = o + 56.\n5. Substitute o = n + 15 to e, which gives e = n + 71.\n6. Substitute n = 4 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 7647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 15; m = p + 2; e = i + 6; g = c + 10; h = o + 2; p = j + 1; c = s + 18; n = 4; s = n + 2; d = h + 19; w = d + 15; j = g + 18; i = w + 14. If n = 4, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 18", "w": "e + 10", "x": "w + 12", "b": "x + 8", "p": "b + 17", "q": "p + 2", "d": "j + 6", "k": "d + 10", "i": "k + 1", "z": "i + 13", "y": "z + 20", "g": "y + 12", "j": 17}, "premises": {"j": 17}, "target": "q"}, "answer": {"steps": [["p", "b + 17", "b + 19"], ["b", "x + 8", "x + 27"], ["x", "w + 12", "w + 39"], ["w", "e + 10", "e + 49"], ["e", "j + 18", "j + 67"], ["j", 17, "84"]], "target_var_name": "q", "target_value": 84, "value_dict": {"j": 17}, "is_reverse": true}} | 7,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 18; i = k + 1; x = w + 12; q = p + 2; d = j + 6; j = 17; p = b + 17; g = y + 12; z = i + 13; w = e + 10; b = x + 8; y = z + 20; k = d + 10. If j = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 17 to q, which gives q = b + 19.\n2. Substitute b = x + 8 to q, which gives q = x + 27.\n3. Substitute x = w + 12 to q, which gives q = w + 39.\n4. Substitute w = e + 10 to q, which gives q = e + 49.\n5. Substitute e = j + 18 to q, which gives q = j + 67.\n6. Substitute j = 17 to q, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 7648,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 18; i = k + 1; x = w + 12; q = p + 2; d = j + 6; j = 17; p = b + 17; g = y + 12; z = i + 13; w = e + 10; b = x + 8; y = z + 20; k = d + 10. If j = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 13", "s": "x + 14", "h": "s + 10", "k": "h + 13", "p": "k + 8", "d": "p + 8", "t": "o + 10", "u": "t + 18", "l": "u + 18", "n": "l + 9", "q": "n + 17", "i": "q + 6", "o": 9}, "premises": {"o": 9}, "target": "d"}, "answer": {"steps": [["p", "k + 8", "k + 16"], ["k", "h + 13", "h + 29"], ["h", "s + 10", "s + 39"], ["s", "x + 14", "x + 53"], ["x", "o + 13", "o + 66"], ["o", 9, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"o": 9}, "is_reverse": true}} | 7,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 6; s = x + 14; p = k + 8; q = n + 17; n = l + 9; o = 9; k = h + 13; x = o + 13; l = u + 18; h = s + 10; d = p + 8; t = o + 10; u = t + 18. If o = 9, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 8 to d, which gives d = k + 16.\n2. Substitute k = h + 13 to d, which gives d = h + 29.\n3. Substitute h = s + 10 to d, which gives d = s + 39.\n4. Substitute s = x + 14 to d, which gives d = x + 53.\n5. Substitute x = o + 13 to d, which gives d = o + 66.\n6. Substitute o = 9 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 7649,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 6; s = x + 14; p = k + 8; q = n + 17; n = l + 9; o = 9; k = h + 13; x = o + 13; l = u + 18; h = s + 10; d = p + 8; t = o + 10; u = t + 18. If o = 9, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 18", "x": "c + 13", "o": "x + 2", "b": "o + 7", "z": "b + 16", "g": "z + 20", "j": "v + 1", "u": "j + 9", "m": "u + 3", "r": "m + 11", "e": "r + 2", "n": "e + 5", "v": 19}, "premises": {"v": 19}, "target": "g"}, "answer": {"steps": [["z", "b + 16", "b + 36"], ["b", "o + 7", "o + 43"], ["o", "x + 2", "x + 45"], ["x", "c + 13", "c + 58"], ["c", "v + 18", "v + 76"], ["v", 19, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"v": 19}, "is_reverse": true}} | 7,650 | 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 = 19; u = j + 9; n = e + 5; j = v + 1; e = r + 2; b = o + 7; z = b + 16; g = z + 20; m = u + 3; r = m + 11; c = v + 18; x = c + 13; o = x + 2. If v = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 16 to g, which gives g = b + 36.\n2. Substitute b = o + 7 to g, which gives g = o + 43.\n3. Substitute o = x + 2 to g, which gives g = x + 45.\n4. Substitute x = c + 13 to g, which gives g = c + 58.\n5. Substitute c = v + 18 to g, which gives g = v + 76.\n6. Substitute v = 19 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 7650,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 19; u = j + 9; n = e + 5; j = v + 1; e = r + 2; b = o + 7; z = b + 16; g = z + 20; m = u + 3; r = m + 11; c = v + 18; x = c + 13; o = x + 2. If v = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 11", "j": "x + 7", "f": "j + 5", "h": "f + 9", "t": "h + 20", "n": "t + 9", "r": "l + 11", "q": "r + 14", "o": "q + 19", "e": "o + 6", "v": "e + 4", "d": "v + 5", "l": 8}, "premises": {"l": 8}, "target": "n"}, "answer": {"steps": [["t", "h + 20", "h + 29"], ["h", "f + 9", "f + 38"], ["f", "j + 5", "j + 43"], ["j", "x + 7", "x + 50"], ["x", "l + 11", "l + 61"], ["l", 8, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"l": 8}, "is_reverse": true}} | 7,651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 9; q = r + 14; x = l + 11; j = x + 7; e = o + 6; l = 8; v = e + 4; o = q + 19; f = j + 5; n = t + 9; d = v + 5; t = h + 20; r = l + 11. If l = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 20 to n, which gives n = h + 29.\n2. Substitute h = f + 9 to n, which gives n = f + 38.\n3. Substitute f = j + 5 to n, which gives n = j + 43.\n4. Substitute j = x + 7 to n, which gives n = x + 50.\n5. Substitute x = l + 11 to n, which gives n = l + 61.\n6. Substitute l = 8 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 7651,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 9; q = r + 14; x = l + 11; j = x + 7; e = o + 6; l = 8; v = e + 4; o = q + 19; f = j + 5; n = t + 9; d = v + 5; t = h + 20; r = l + 11. If l = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 5", "g": "m + 15", "q": "g + 5", "s": "q + 12", "t": "s + 1", "x": "t + 14", "a": "k + 10", "i": "a + 10", "u": "i + 8", "c": "u + 10", "f": "c + 1", "n": "f + 16", "k": 17}, "premises": {"k": 17}, "target": "x"}, "answer": {"steps": [["t", "s + 1", "s + 15"], ["s", "q + 12", "q + 27"], ["q", "g + 5", "g + 32"], ["g", "m + 15", "m + 47"], ["m", "k + 5", "k + 52"], ["k", 17, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"k": 17}, "is_reverse": true}} | 7,652 | 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 = k + 10; k = 17; g = m + 15; i = a + 10; x = t + 14; c = u + 10; t = s + 1; m = k + 5; f = c + 1; u = i + 8; q = g + 5; s = q + 12; n = f + 16. If k = 17, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 1 to x, which gives x = s + 15.\n2. Substitute s = q + 12 to x, which gives x = q + 27.\n3. Substitute q = g + 5 to x, which gives x = g + 32.\n4. Substitute g = m + 15 to x, which gives x = m + 47.\n5. Substitute m = k + 5 to x, which gives x = k + 52.\n6. Substitute k = 17 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 7652,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 10; k = 17; g = m + 15; i = a + 10; x = t + 14; c = u + 10; t = s + 1; m = k + 5; f = c + 1; u = i + 8; q = g + 5; s = q + 12; n = f + 16. If k = 17, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 12", "y": "x + 14", "z": "y + 14", "a": "z + 20", "n": "a + 16", "e": "n + 2", "b": "k + 7", "r": "b + 19", "g": "r + 6", "c": "g + 8", "v": "c + 11", "o": "v + 12", "k": 19}, "premises": {"k": 19}, "target": "e"}, "answer": {"steps": [["n", "a + 16", "a + 18"], ["a", "z + 20", "z + 38"], ["z", "y + 14", "y + 52"], ["y", "x + 14", "x + 66"], ["x", "k + 12", "k + 78"], ["k", 19, "97"]], "target_var_name": "e", "target_value": 97, "value_dict": {"k": 19}, "is_reverse": true}} | 7,653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 14; o = v + 12; b = k + 7; g = r + 6; v = c + 11; r = b + 19; a = z + 20; x = k + 12; e = n + 2; c = g + 8; y = x + 14; n = a + 16; k = 19. If k = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 16 to e, which gives e = a + 18.\n2. Substitute a = z + 20 to e, which gives e = z + 38.\n3. Substitute z = y + 14 to e, which gives e = y + 52.\n4. Substitute y = x + 14 to e, which gives e = x + 66.\n5. Substitute x = k + 12 to e, which gives e = k + 78.\n6. Substitute k = 19 to e, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 7653,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 14; o = v + 12; b = k + 7; g = r + 6; v = c + 11; r = b + 19; a = z + 20; x = k + 12; e = n + 2; c = g + 8; y = x + 14; n = a + 16; k = 19. If k = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 17", "e": "g + 6", "v": "e + 20", "b": "v + 10", "n": "b + 6", "p": "n + 18", "d": "i + 7", "r": "d + 17", "u": "r + 6", "h": "u + 16", "a": "h + 2", "t": "a + 9", "i": 13}, "premises": {"i": 13}, "target": "p"}, "answer": {"steps": [["n", "b + 6", "b + 24"], ["b", "v + 10", "v + 34"], ["v", "e + 20", "e + 54"], ["e", "g + 6", "g + 60"], ["g", "i + 17", "i + 77"], ["i", 13, "90"]], "target_var_name": "p", "target_value": 90, "value_dict": {"i": 13}, "is_reverse": true}} | 7,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 13; e = g + 6; r = d + 17; p = n + 18; v = e + 20; d = i + 7; t = a + 9; g = i + 17; u = r + 6; a = h + 2; h = u + 16; n = b + 6; b = v + 10. Given that i = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 6 to p, which gives p = b + 24.\n2. Substitute b = v + 10 to p, which gives p = v + 34.\n3. Substitute v = e + 20 to p, which gives p = e + 54.\n4. Substitute e = g + 6 to p, which gives p = g + 60.\n5. Substitute g = i + 17 to p, which gives p = i + 77.\n6. Substitute i = 13 to p, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 7654,
"question": "Suppose a collection of variables is related by the following definitions: i = 13; e = g + 6; r = d + 17; p = n + 18; v = e + 20; d = i + 7; t = a + 9; g = i + 17; u = r + 6; a = h + 2; h = u + 16; n = b + 6; b = v + 10. Given that i = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 7", "o": "m + 13", "i": "o + 17", "b": "i + 3", "x": "b + 5", "f": "x + 3", "y": "e + 8", "l": "y + 20", "w": "l + 7", "v": "w + 14", "h": "v + 11", "k": "h + 5", "e": 2}, "premises": {"e": 2}, "target": "f"}, "answer": {"steps": [["x", "b + 5", "b + 8"], ["b", "i + 3", "i + 11"], ["i", "o + 17", "o + 28"], ["o", "m + 13", "m + 41"], ["m", "e + 7", "e + 48"], ["e", 2, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"e": 2}, "is_reverse": true}} | 7,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = e + 7; k = h + 5; f = x + 3; v = w + 14; o = m + 13; i = o + 17; h = v + 11; w = l + 7; x = b + 5; b = i + 3; y = e + 8; l = y + 20; e = 2. Given that e = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 5 to f, which gives f = b + 8.\n2. Substitute b = i + 3 to f, which gives f = i + 11.\n3. Substitute i = o + 17 to f, which gives f = o + 28.\n4. Substitute o = m + 13 to f, which gives f = m + 41.\n5. Substitute m = e + 7 to f, which gives f = e + 48.\n6. Substitute e = 2 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 7655,
"question": "Suppose a collection of variables is related by the following definitions: m = e + 7; k = h + 5; f = x + 3; v = w + 14; o = m + 13; i = o + 17; h = v + 11; w = l + 7; x = b + 5; b = i + 3; y = e + 8; l = y + 20; e = 2. Given that e = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 15", "s": "f + 8", "q": "s + 9", "a": "q + 4", "d": "a + 19", "j": "d + 3", "b": "g + 14", "x": "b + 5", "c": "x + 9", "o": "c + 5", "v": "o + 19", "t": "v + 6", "g": 17}, "premises": {"g": 17}, "target": "j"}, "answer": {"steps": [["d", "a + 19", "a + 22"], ["a", "q + 4", "q + 26"], ["q", "s + 9", "s + 35"], ["s", "f + 8", "f + 43"], ["f", "g + 15", "g + 58"], ["g", 17, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"g": 17}, "is_reverse": true}} | 7,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 9; f = g + 15; v = o + 19; t = v + 6; a = q + 4; c = x + 9; o = c + 5; d = a + 19; g = 17; x = b + 5; s = f + 8; j = d + 3; b = g + 14. If g = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 19 to j, which gives j = a + 22.\n2. Substitute a = q + 4 to j, which gives j = q + 26.\n3. Substitute q = s + 9 to j, which gives j = s + 35.\n4. Substitute s = f + 8 to j, which gives j = f + 43.\n5. Substitute f = g + 15 to j, which gives j = g + 58.\n6. Substitute g = 17 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 7656,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 9; f = g + 15; v = o + 19; t = v + 6; a = q + 4; c = x + 9; o = c + 5; d = a + 19; g = 17; x = b + 5; s = f + 8; j = d + 3; b = g + 14. If g = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 7", "d": "a + 7", "m": "d + 16", "r": "m + 8", "u": "r + 2", "q": "u + 6", "c": "v + 17", "l": "c + 20", "g": "l + 20", "k": "g + 14", "f": "k + 2", "y": "f + 7", "v": 18}, "premises": {"v": 18}, "target": "q"}, "answer": {"steps": [["u", "r + 2", "r + 8"], ["r", "m + 8", "m + 16"], ["m", "d + 16", "d + 32"], ["d", "a + 7", "a + 39"], ["a", "v + 7", "v + 46"], ["v", 18, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"v": 18}, "is_reverse": true}} | 7,657 | 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 = f + 7; c = v + 17; m = d + 16; a = v + 7; g = l + 20; q = u + 6; d = a + 7; r = m + 8; l = c + 20; f = k + 2; v = 18; u = r + 2; k = g + 14. If v = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 2 to q, which gives q = r + 8.\n2. Substitute r = m + 8 to q, which gives q = m + 16.\n3. Substitute m = d + 16 to q, which gives q = d + 32.\n4. Substitute d = a + 7 to q, which gives q = a + 39.\n5. Substitute a = v + 7 to q, which gives q = v + 46.\n6. Substitute v = 18 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 7657,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = f + 7; c = v + 17; m = d + 16; a = v + 7; g = l + 20; q = u + 6; d = a + 7; r = m + 8; l = c + 20; f = k + 2; v = 18; u = r + 2; k = g + 14. If v = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 17", "x": "g + 18", "e": "x + 20", "u": "e + 9", "y": "u + 15", "k": "y + 5", "v": "o + 13", "r": "v + 12", "q": "r + 16", "f": "q + 7", "z": "f + 10", "i": "z + 13", "o": 14}, "premises": {"o": 14}, "target": "k"}, "answer": {"steps": [["y", "u + 15", "u + 20"], ["u", "e + 9", "e + 29"], ["e", "x + 20", "x + 49"], ["x", "g + 18", "g + 67"], ["g", "o + 17", "o + 84"], ["o", 14, "98"]], "target_var_name": "k", "target_value": 98, "value_dict": {"o": 14}, "is_reverse": true}} | 7,658 | 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 = q + 7; z = f + 10; q = r + 16; o = 14; u = e + 9; y = u + 15; v = o + 13; e = x + 20; x = g + 18; k = y + 5; r = v + 12; g = o + 17; i = z + 13. If o = 14, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 15 to k, which gives k = u + 20.\n2. Substitute u = e + 9 to k, which gives k = e + 29.\n3. Substitute e = x + 20 to k, which gives k = x + 49.\n4. Substitute x = g + 18 to k, which gives k = g + 67.\n5. Substitute g = o + 17 to k, which gives k = o + 84.\n6. Substitute o = 14 to k, which gives k = 98.\n\nThus, the final answer is k = \\boxed{98}.",
"index": 7658,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 7; z = f + 10; q = r + 16; o = 14; u = e + 9; y = u + 15; v = o + 13; e = x + 20; x = g + 18; k = y + 5; r = v + 12; g = o + 17; i = z + 13. If o = 14, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 13", "k": "n + 9", "o": "k + 2", "c": "o + 18", "e": "c + 11", "q": "e + 10", "g": "a + 20", "j": "g + 4", "f": "j + 4", "x": "f + 13", "b": "x + 18", "v": "b + 15", "a": 11}, "premises": {"a": 11}, "target": "q"}, "answer": {"steps": [["e", "c + 11", "c + 21"], ["c", "o + 18", "o + 39"], ["o", "k + 2", "k + 41"], ["k", "n + 9", "n + 50"], ["n", "a + 13", "a + 63"], ["a", 11, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"a": 11}, "is_reverse": true}} | 7,659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 9; n = a + 13; f = j + 4; v = b + 15; c = o + 18; g = a + 20; a = 11; b = x + 18; q = e + 10; e = c + 11; x = f + 13; j = g + 4; o = k + 2. If a = 11, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 11 to q, which gives q = c + 21.\n2. Substitute c = o + 18 to q, which gives q = o + 39.\n3. Substitute o = k + 2 to q, which gives q = k + 41.\n4. Substitute k = n + 9 to q, which gives q = n + 50.\n5. Substitute n = a + 13 to q, which gives q = a + 63.\n6. Substitute a = 11 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 7659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 9; n = a + 13; f = j + 4; v = b + 15; c = o + 18; g = a + 20; a = 11; b = x + 18; q = e + 10; e = c + 11; x = f + 13; j = g + 4; o = k + 2. If a = 11, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 4", "k": "c + 20", "p": "k + 1", "z": "p + 6", "i": "z + 3", "q": "i + 15", "n": "j + 8", "l": "n + 2", "o": "l + 17", "v": "o + 9", "h": "v + 1", "r": "h + 11", "j": 19}, "premises": {"j": 19}, "target": "q"}, "answer": {"steps": [["i", "z + 3", "z + 18"], ["z", "p + 6", "p + 24"], ["p", "k + 1", "k + 25"], ["k", "c + 20", "c + 45"], ["c", "j + 4", "j + 49"], ["j", 19, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"j": 19}, "is_reverse": true}} | 7,660 | 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 = 19; v = o + 9; o = l + 17; c = j + 4; i = z + 3; h = v + 1; p = k + 1; r = h + 11; l = n + 2; k = c + 20; q = i + 15; z = p + 6; n = j + 8. If j = 19, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 3 to q, which gives q = z + 18.\n2. Substitute z = p + 6 to q, which gives q = p + 24.\n3. Substitute p = k + 1 to q, which gives q = k + 25.\n4. Substitute k = c + 20 to q, which gives q = c + 45.\n5. Substitute c = j + 4 to q, which gives q = j + 49.\n6. Substitute j = 19 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 7660,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 19; v = o + 9; o = l + 17; c = j + 4; i = z + 3; h = v + 1; p = k + 1; r = h + 11; l = n + 2; k = c + 20; q = i + 15; z = p + 6; n = j + 8. If j = 19, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 4", "m": "x + 15", "y": "m + 7", "r": "y + 10", "o": "r + 13", "f": "o + 5", "l": "n + 4", "s": "l + 11", "g": "s + 7", "h": "g + 2", "p": "h + 8", "z": "p + 10", "n": 18}, "premises": {"n": 18}, "target": "f"}, "answer": {"steps": [["o", "r + 13", "r + 18"], ["r", "y + 10", "y + 28"], ["y", "m + 7", "m + 35"], ["m", "x + 15", "x + 50"], ["x", "n + 4", "n + 54"], ["n", 18, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"n": 18}, "is_reverse": true}} | 7,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 7; h = g + 2; p = h + 8; x = n + 4; l = n + 4; m = x + 15; n = 18; f = o + 5; r = y + 10; s = l + 11; z = p + 10; y = m + 7; o = r + 13. If n = 18, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 13 to f, which gives f = r + 18.\n2. Substitute r = y + 10 to f, which gives f = y + 28.\n3. Substitute y = m + 7 to f, which gives f = m + 35.\n4. Substitute m = x + 15 to f, which gives f = x + 50.\n5. Substitute x = n + 4 to f, which gives f = n + 54.\n6. Substitute n = 18 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 7661,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 7; h = g + 2; p = h + 8; x = n + 4; l = n + 4; m = x + 15; n = 18; f = o + 5; r = y + 10; s = l + 11; z = p + 10; y = m + 7; o = r + 13. If n = 18, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 20", "h": "s + 18", "j": "h + 16", "p": "j + 1", "i": "p + 8", "q": "i + 14", "n": "k + 4", "x": "n + 3", "t": "x + 13", "l": "t + 2", "b": "l + 20", "v": "b + 12", "k": 5}, "premises": {"k": 5}, "target": "q"}, "answer": {"steps": [["i", "p + 8", "p + 22"], ["p", "j + 1", "j + 23"], ["j", "h + 16", "h + 39"], ["h", "s + 18", "s + 57"], ["s", "k + 20", "k + 77"], ["k", 5, "82"]], "target_var_name": "q", "target_value": 82, "value_dict": {"k": 5}, "is_reverse": true}} | 7,662 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 18; n = k + 4; i = p + 8; s = k + 20; v = b + 12; j = h + 16; p = j + 1; t = x + 13; l = t + 2; b = l + 20; q = i + 14; x = n + 3; k = 5. If k = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 8 to q, which gives q = p + 22.\n2. Substitute p = j + 1 to q, which gives q = j + 23.\n3. Substitute j = h + 16 to q, which gives q = h + 39.\n4. Substitute h = s + 18 to q, which gives q = s + 57.\n5. Substitute s = k + 20 to q, which gives q = k + 77.\n6. Substitute k = 5 to q, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 7662,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 18; n = k + 4; i = p + 8; s = k + 20; v = b + 12; j = h + 16; p = j + 1; t = x + 13; l = t + 2; b = l + 20; q = i + 14; x = n + 3; k = 5. If k = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 19", "v": "j + 11", "u": "v + 16", "x": "u + 10", "h": "x + 9", "r": "h + 1", "p": "q + 20", "d": "p + 6", "z": "d + 13", "e": "z + 10", "m": "e + 2", "t": "m + 14", "q": 2}, "premises": {"q": 2}, "target": "r"}, "answer": {"steps": [["h", "x + 9", "x + 10"], ["x", "u + 10", "u + 20"], ["u", "v + 16", "v + 36"], ["v", "j + 11", "j + 47"], ["j", "q + 19", "q + 66"], ["q", 2, "68"]], "target_var_name": "r", "target_value": 68, "value_dict": {"q": 2}, "is_reverse": true}} | 7,663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 1; t = m + 14; d = p + 6; h = x + 9; u = v + 16; m = e + 2; q = 2; v = j + 11; e = z + 10; p = q + 20; z = d + 13; x = u + 10; j = q + 19. If q = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 9 to r, which gives r = x + 10.\n2. Substitute x = u + 10 to r, which gives r = u + 20.\n3. Substitute u = v + 16 to r, which gives r = v + 36.\n4. Substitute v = j + 11 to r, which gives r = j + 47.\n5. Substitute j = q + 19 to r, which gives r = q + 66.\n6. Substitute q = 2 to r, which gives r = 68.\n\nThus, the final answer is r = \\boxed{68}.",
"index": 7663,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 1; t = m + 14; d = p + 6; h = x + 9; u = v + 16; m = e + 2; q = 2; v = j + 11; e = z + 10; p = q + 20; z = d + 13; x = u + 10; j = q + 19. If q = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "t + 12", "n": "i + 7", "v": "n + 10", "k": "v + 4", "b": "k + 4", "r": "b + 19", "a": "t + 16", "q": "a + 14", "e": "q + 5", "u": "e + 13", "m": "u + 3", "y": "m + 3", "t": 17}, "premises": {"t": 17}, "target": "r"}, "answer": {"steps": [["b", "k + 4", "k + 23"], ["k", "v + 4", "v + 27"], ["v", "n + 10", "n + 37"], ["n", "i + 7", "i + 44"], ["i", "t + 12", "t + 56"], ["t", 17, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"t": 17}, "is_reverse": true}} | 7,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = 17; n = i + 7; m = u + 3; e = q + 5; q = a + 14; v = n + 10; k = v + 4; a = t + 16; u = e + 13; b = k + 4; r = b + 19; y = m + 3; i = t + 12. If t = 17, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 4 to r, which gives r = k + 23.\n2. Substitute k = v + 4 to r, which gives r = v + 27.\n3. Substitute v = n + 10 to r, which gives r = n + 37.\n4. Substitute n = i + 7 to r, which gives r = i + 44.\n5. Substitute i = t + 12 to r, which gives r = t + 56.\n6. Substitute t = 17 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 7664,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = 17; n = i + 7; m = u + 3; e = q + 5; q = a + 14; v = n + 10; k = v + 4; a = t + 16; u = e + 13; b = k + 4; r = b + 19; y = m + 3; i = t + 12. If t = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 11", "f": "q + 11", "x": "f + 9", "k": "x + 13", "r": "k + 1", "u": "r + 19", "w": "t + 13", "a": "w + 7", "m": "a + 4", "v": "m + 20", "j": "v + 20", "o": "j + 13", "t": 20}, "premises": {"t": 20}, "target": "u"}, "answer": {"steps": [["r", "k + 1", "k + 20"], ["k", "x + 13", "x + 33"], ["x", "f + 9", "f + 42"], ["f", "q + 11", "q + 53"], ["q", "t + 11", "t + 64"], ["t", 20, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"t": 20}, "is_reverse": true}} | 7,665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 7; x = f + 9; w = t + 13; o = j + 13; k = x + 13; r = k + 1; j = v + 20; m = a + 4; q = t + 11; t = 20; v = m + 20; f = q + 11; u = r + 19. Given that t = 20, 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 r = k + 1 to u, which gives u = k + 20.\n2. Substitute k = x + 13 to u, which gives u = x + 33.\n3. Substitute x = f + 9 to u, which gives u = f + 42.\n4. Substitute f = q + 11 to u, which gives u = q + 53.\n5. Substitute q = t + 11 to u, which gives u = t + 64.\n6. Substitute t = 20 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 7665,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 7; x = f + 9; w = t + 13; o = j + 13; k = x + 13; r = k + 1; j = v + 20; m = a + 4; q = t + 11; t = 20; v = m + 20; f = q + 11; u = r + 19. Given that t = 20, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 13", "l": "u + 20", "n": "l + 11", "f": "n + 8", "g": "f + 1", "k": "g + 12", "d": "b + 14", "m": "d + 17", "j": "m + 15", "r": "j + 11", "h": "r + 5", "y": "h + 2", "b": 13}, "premises": {"b": 13}, "target": "k"}, "answer": {"steps": [["g", "f + 1", "f + 13"], ["f", "n + 8", "n + 21"], ["n", "l + 11", "l + 32"], ["l", "u + 20", "u + 52"], ["u", "b + 13", "b + 65"], ["b", 13, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"b": 13}, "is_reverse": true}} | 7,666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 20; k = g + 12; d = b + 14; m = d + 17; r = j + 11; y = h + 2; h = r + 5; g = f + 1; b = 13; f = n + 8; n = l + 11; j = m + 15; u = b + 13. Given that b = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 1 to k, which gives k = f + 13.\n2. Substitute f = n + 8 to k, which gives k = n + 21.\n3. Substitute n = l + 11 to k, which gives k = l + 32.\n4. Substitute l = u + 20 to k, which gives k = u + 52.\n5. Substitute u = b + 13 to k, which gives k = b + 65.\n6. Substitute b = 13 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 7666,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 20; k = g + 12; d = b + 14; m = d + 17; r = j + 11; y = h + 2; h = r + 5; g = f + 1; b = 13; f = n + 8; n = l + 11; j = m + 15; u = b + 13. Given that b = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 1", "s": "u + 12", "f": "s + 16", "a": "f + 11", "b": "a + 12", "j": "b + 6", "c": "y + 18", "w": "c + 19", "p": "w + 7", "o": "p + 14", "x": "o + 1", "m": "x + 7", "y": 12}, "premises": {"y": 12}, "target": "j"}, "answer": {"steps": [["b", "a + 12", "a + 18"], ["a", "f + 11", "f + 29"], ["f", "s + 16", "s + 45"], ["s", "u + 12", "u + 57"], ["u", "y + 1", "y + 58"], ["y", 12, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"y": 12}, "is_reverse": true}} | 7,667 | 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 = 12; c = y + 18; w = c + 19; p = w + 7; j = b + 6; o = p + 14; u = y + 1; a = f + 11; b = a + 12; f = s + 16; m = x + 7; x = o + 1; s = u + 12. If y = 12, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 12 to j, which gives j = a + 18.\n2. Substitute a = f + 11 to j, which gives j = f + 29.\n3. Substitute f = s + 16 to j, which gives j = s + 45.\n4. Substitute s = u + 12 to j, which gives j = u + 57.\n5. Substitute u = y + 1 to j, which gives j = y + 58.\n6. Substitute y = 12 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 7667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 12; c = y + 18; w = c + 19; p = w + 7; j = b + 6; o = p + 14; u = y + 1; a = f + 11; b = a + 12; f = s + 16; m = x + 7; x = o + 1; s = u + 12. If y = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 6", "o": "e + 8", "w": "o + 7", "c": "w + 19", "g": "c + 2", "h": "g + 19", "p": "d + 8", "j": "p + 2", "s": "j + 2", "a": "s + 11", "k": "a + 15", "x": "k + 6", "d": 17}, "premises": {"d": 17}, "target": "h"}, "answer": {"steps": [["g", "c + 2", "c + 21"], ["c", "w + 19", "w + 40"], ["w", "o + 7", "o + 47"], ["o", "e + 8", "e + 55"], ["e", "d + 6", "d + 61"], ["d", 17, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"d": 17}, "is_reverse": true}} | 7,668 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 19; d = 17; o = e + 8; a = s + 11; s = j + 2; k = a + 15; x = k + 6; p = d + 8; g = c + 2; w = o + 7; h = g + 19; j = p + 2; e = d + 6. Given that d = 17, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 2 to h, which gives h = c + 21.\n2. Substitute c = w + 19 to h, which gives h = w + 40.\n3. Substitute w = o + 7 to h, which gives h = o + 47.\n4. Substitute o = e + 8 to h, which gives h = e + 55.\n5. Substitute e = d + 6 to h, which gives h = d + 61.\n6. Substitute d = 17 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 7668,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 19; d = 17; o = e + 8; a = s + 11; s = j + 2; k = a + 15; x = k + 6; p = d + 8; g = c + 2; w = o + 7; h = g + 19; j = p + 2; e = d + 6. Given that d = 17, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 20", "m": "x + 3", "s": "m + 12", "p": "s + 18", "n": "p + 10", "i": "n + 19", "l": "v + 12", "j": "l + 10", "w": "j + 2", "t": "w + 3", "k": "t + 1", "c": "k + 5", "v": 8}, "premises": {"v": 8}, "target": "i"}, "answer": {"steps": [["n", "p + 10", "p + 29"], ["p", "s + 18", "s + 47"], ["s", "m + 12", "m + 59"], ["m", "x + 3", "x + 62"], ["x", "v + 20", "v + 82"], ["v", 8, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"v": 8}, "is_reverse": true}} | 7,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 8; k = t + 1; t = w + 3; c = k + 5; m = x + 3; w = j + 2; l = v + 12; s = m + 12; i = n + 19; j = l + 10; n = p + 10; p = s + 18; x = v + 20. Given that v = 8, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 10 to i, which gives i = p + 29.\n2. Substitute p = s + 18 to i, which gives i = s + 47.\n3. Substitute s = m + 12 to i, which gives i = m + 59.\n4. Substitute m = x + 3 to i, which gives i = x + 62.\n5. Substitute x = v + 20 to i, which gives i = v + 82.\n6. Substitute v = 8 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 7669,
"question": "Suppose a collection of variables is related by the following definitions: v = 8; k = t + 1; t = w + 3; c = k + 5; m = x + 3; w = j + 2; l = v + 12; s = m + 12; i = n + 19; j = l + 10; n = p + 10; p = s + 18; x = v + 20. Given that v = 8, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 11", "z": "d + 4", "r": "z + 15", "l": "r + 11", "e": "l + 3", "a": "e + 9", "i": "n + 13", "t": "i + 9", "c": "t + 1", "k": "c + 7", "v": "k + 18", "p": "v + 9", "n": 10}, "premises": {"n": 10}, "target": "a"}, "answer": {"steps": [["e", "l + 3", "l + 12"], ["l", "r + 11", "r + 23"], ["r", "z + 15", "z + 38"], ["z", "d + 4", "d + 42"], ["d", "n + 11", "n + 53"], ["n", 10, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"n": 10}, "is_reverse": true}} | 7,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = z + 15; n = 10; z = d + 4; k = c + 7; p = v + 9; t = i + 9; e = l + 3; c = t + 1; a = e + 9; l = r + 11; i = n + 13; d = n + 11; v = k + 18. If n = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 3 to a, which gives a = l + 12.\n2. Substitute l = r + 11 to a, which gives a = r + 23.\n3. Substitute r = z + 15 to a, which gives a = z + 38.\n4. Substitute z = d + 4 to a, which gives a = d + 42.\n5. Substitute d = n + 11 to a, which gives a = n + 53.\n6. Substitute n = 10 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 7670,
"question": "Consider a system of variables where each variable is defined as follows: r = z + 15; n = 10; z = d + 4; k = c + 7; p = v + 9; t = i + 9; e = l + 3; c = t + 1; a = e + 9; l = r + 11; i = n + 13; d = n + 11; v = k + 18. If n = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 2", "i": "t + 13", "s": "i + 18", "o": "s + 3", "f": "o + 20", "d": "f + 17", "u": "m + 13", "a": "u + 11", "k": "a + 13", "q": "k + 7", "z": "q + 6", "g": "z + 2", "m": 17}, "premises": {"m": 17}, "target": "d"}, "answer": {"steps": [["f", "o + 20", "o + 37"], ["o", "s + 3", "s + 40"], ["s", "i + 18", "i + 58"], ["i", "t + 13", "t + 71"], ["t", "m + 2", "m + 73"], ["m", 17, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"m": 17}, "is_reverse": true}} | 7,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 3; a = u + 11; u = m + 13; t = m + 2; k = a + 13; q = k + 7; i = t + 13; d = f + 17; g = z + 2; m = 17; s = i + 18; z = q + 6; f = o + 20. If m = 17, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 20 to d, which gives d = o + 37.\n2. Substitute o = s + 3 to d, which gives d = s + 40.\n3. Substitute s = i + 18 to d, which gives d = i + 58.\n4. Substitute i = t + 13 to d, which gives d = t + 71.\n5. Substitute t = m + 2 to d, which gives d = m + 73.\n6. Substitute m = 17 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 7671,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 3; a = u + 11; u = m + 13; t = m + 2; k = a + 13; q = k + 7; i = t + 13; d = f + 17; g = z + 2; m = 17; s = i + 18; z = q + 6; f = o + 20. If m = 17, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 1", "b": "v + 14", "x": "b + 17", "e": "x + 16", "l": "e + 12", "j": "l + 9", "q": "p + 11", "h": "q + 7", "w": "h + 3", "s": "w + 13", "i": "s + 18", "d": "i + 7", "p": 18}, "premises": {"p": 18}, "target": "j"}, "answer": {"steps": [["l", "e + 12", "e + 21"], ["e", "x + 16", "x + 37"], ["x", "b + 17", "b + 54"], ["b", "v + 14", "v + 68"], ["v", "p + 1", "p + 69"], ["p", 18, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"p": 18}, "is_reverse": true}} | 7,672 | 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 = w + 13; h = q + 7; j = l + 9; p = 18; e = x + 16; l = e + 12; b = v + 14; q = p + 11; v = p + 1; i = s + 18; x = b + 17; d = i + 7; w = h + 3. If p = 18, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 12 to j, which gives j = e + 21.\n2. Substitute e = x + 16 to j, which gives j = x + 37.\n3. Substitute x = b + 17 to j, which gives j = b + 54.\n4. Substitute b = v + 14 to j, which gives j = v + 68.\n5. Substitute v = p + 1 to j, which gives j = p + 69.\n6. Substitute p = 18 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 7672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 13; h = q + 7; j = l + 9; p = 18; e = x + 16; l = e + 12; b = v + 14; q = p + 11; v = p + 1; i = s + 18; x = b + 17; d = i + 7; w = h + 3. If p = 18, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 10", "r": "m + 2", "v": "r + 4", "h": "v + 7", "c": "h + 15", "q": "c + 7", "a": "w + 17", "e": "a + 5", "u": "e + 17", "k": "u + 4", "s": "k + 4", "y": "s + 10", "w": 8}, "premises": {"w": 8}, "target": "q"}, "answer": {"steps": [["c", "h + 15", "h + 22"], ["h", "v + 7", "v + 29"], ["v", "r + 4", "r + 33"], ["r", "m + 2", "m + 35"], ["m", "w + 10", "w + 45"], ["w", 8, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"w": 8}, "is_reverse": true}} | 7,673 | 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 = m + 2; a = w + 17; k = u + 4; w = 8; s = k + 4; m = w + 10; v = r + 4; q = c + 7; y = s + 10; u = e + 17; h = v + 7; c = h + 15; e = a + 5. If w = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 15 to q, which gives q = h + 22.\n2. Substitute h = v + 7 to q, which gives q = v + 29.\n3. Substitute v = r + 4 to q, which gives q = r + 33.\n4. Substitute r = m + 2 to q, which gives q = m + 35.\n5. Substitute m = w + 10 to q, which gives q = w + 45.\n6. Substitute w = 8 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 7673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 2; a = w + 17; k = u + 4; w = 8; s = k + 4; m = w + 10; v = r + 4; q = c + 7; y = s + 10; u = e + 17; h = v + 7; c = h + 15; e = a + 5. If w = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 17", "n": "l + 14", "z": "n + 10", "c": "z + 14", "t": "c + 20", "d": "t + 13", "y": "q + 16", "a": "y + 16", "u": "a + 5", "p": "u + 7", "g": "p + 13", "h": "g + 14", "q": 10}, "premises": {"q": 10}, "target": "d"}, "answer": {"steps": [["t", "c + 20", "c + 33"], ["c", "z + 14", "z + 47"], ["z", "n + 10", "n + 57"], ["n", "l + 14", "l + 71"], ["l", "q + 17", "q + 88"], ["q", 10, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"q": 10}, "is_reverse": true}} | 7,674 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 5; q = 10; h = g + 14; l = q + 17; c = z + 14; a = y + 16; t = c + 20; z = n + 10; y = q + 16; d = t + 13; g = p + 13; n = l + 14; p = u + 7. Given that q = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 20 to d, which gives d = c + 33.\n2. Substitute c = z + 14 to d, which gives d = z + 47.\n3. Substitute z = n + 10 to d, which gives d = n + 57.\n4. Substitute n = l + 14 to d, which gives d = l + 71.\n5. Substitute l = q + 17 to d, which gives d = q + 88.\n6. Substitute q = 10 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 7674,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 5; q = 10; h = g + 14; l = q + 17; c = z + 14; a = y + 16; t = c + 20; z = n + 10; y = q + 16; d = t + 13; g = p + 13; n = l + 14; p = u + 7. Given that q = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 11", "g": "e + 11", "b": "g + 10", "a": "b + 16", "m": "a + 2", "s": "m + 5", "p": "r + 1", "u": "p + 10", "h": "u + 19", "f": "h + 13", "z": "f + 15", "w": "z + 14", "r": 3}, "premises": {"r": 3}, "target": "s"}, "answer": {"steps": [["m", "a + 2", "a + 7"], ["a", "b + 16", "b + 23"], ["b", "g + 10", "g + 33"], ["g", "e + 11", "e + 44"], ["e", "r + 11", "r + 55"], ["r", 3, "58"]], "target_var_name": "s", "target_value": 58, "value_dict": {"r": 3}, "is_reverse": true}} | 7,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = r + 1; e = r + 11; s = m + 5; m = a + 2; b = g + 10; h = u + 19; u = p + 10; g = e + 11; f = h + 13; w = z + 14; a = b + 16; z = f + 15; r = 3. If r = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 2 to s, which gives s = a + 7.\n2. Substitute a = b + 16 to s, which gives s = b + 23.\n3. Substitute b = g + 10 to s, which gives s = g + 33.\n4. Substitute g = e + 11 to s, which gives s = e + 44.\n5. Substitute e = r + 11 to s, which gives s = r + 55.\n6. Substitute r = 3 to s, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 7675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = r + 1; e = r + 11; s = m + 5; m = a + 2; b = g + 10; h = u + 19; u = p + 10; g = e + 11; f = h + 13; w = z + 14; a = b + 16; z = f + 15; r = 3. If r = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 3", "o": "z + 1", "s": "o + 16", "b": "s + 6", "l": "b + 11", "m": "l + 4", "n": "h + 9", "j": "n + 14", "u": "j + 6", "q": "u + 6", "a": "q + 5", "i": "a + 2", "h": 7}, "premises": {"h": 7}, "target": "m"}, "answer": {"steps": [["l", "b + 11", "b + 15"], ["b", "s + 6", "s + 21"], ["s", "o + 16", "o + 37"], ["o", "z + 1", "z + 38"], ["z", "h + 3", "h + 41"], ["h", 7, "48"]], "target_var_name": "m", "target_value": 48, "value_dict": {"h": 7}, "is_reverse": true}} | 7,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 2; u = j + 6; h = 7; b = s + 6; j = n + 14; q = u + 6; m = l + 4; a = q + 5; n = h + 9; z = h + 3; l = b + 11; s = o + 16; o = z + 1. If h = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"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 + 15.\n2. Substitute b = s + 6 to m, which gives m = s + 21.\n3. Substitute s = o + 16 to m, which gives m = o + 37.\n4. Substitute o = z + 1 to m, which gives m = z + 38.\n5. Substitute z = h + 3 to m, which gives m = h + 41.\n6. Substitute h = 7 to m, which gives m = 48.\n\nThus, the final answer is m = \\boxed{48}.",
"index": 7676,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 2; u = j + 6; h = 7; b = s + 6; j = n + 14; q = u + 6; m = l + 4; a = q + 5; n = h + 9; z = h + 3; l = b + 11; s = o + 16; o = z + 1. If h = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 5", "s": "z + 15", "d": "s + 2", "a": "d + 5", "l": "a + 17", "v": "l + 5", "q": "b + 14", "n": "q + 8", "x": "n + 7", "e": "x + 12", "y": "e + 2", "k": "y + 12", "b": 11}, "premises": {"b": 11}, "target": "v"}, "answer": {"steps": [["l", "a + 17", "a + 22"], ["a", "d + 5", "d + 27"], ["d", "s + 2", "s + 29"], ["s", "z + 15", "z + 44"], ["z", "b + 5", "b + 49"], ["b", 11, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"b": 11}, "is_reverse": true}} | 7,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 14; d = s + 2; y = e + 2; a = d + 5; s = z + 15; n = q + 8; z = b + 5; x = n + 7; e = x + 12; b = 11; k = y + 12; l = a + 17; v = l + 5. If b = 11, determine the 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 + 17 to v, which gives v = a + 22.\n2. Substitute a = d + 5 to v, which gives v = d + 27.\n3. Substitute d = s + 2 to v, which gives v = s + 29.\n4. Substitute s = z + 15 to v, which gives v = z + 44.\n5. Substitute z = b + 5 to v, which gives v = b + 49.\n6. Substitute b = 11 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 7677,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 14; d = s + 2; y = e + 2; a = d + 5; s = z + 15; n = q + 8; z = b + 5; x = n + 7; e = x + 12; b = 11; k = y + 12; l = a + 17; v = l + 5. If b = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "e + 3", "k": "p + 6", "o": "k + 14", "f": "o + 10", "d": "f + 5", "l": "d + 1", "b": "e + 2", "z": "b + 2", "s": "z + 5", "g": "s + 11", "u": "g + 10", "q": "u + 19", "e": 4}, "premises": {"e": 4}, "target": "l"}, "answer": {"steps": [["d", "f + 5", "f + 6"], ["f", "o + 10", "o + 16"], ["o", "k + 14", "k + 30"], ["k", "p + 6", "p + 36"], ["p", "e + 3", "e + 39"], ["e", 4, "43"]], "target_var_name": "l", "target_value": 43, "value_dict": {"e": 4}, "is_reverse": true}} | 7,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 2; k = p + 6; f = o + 10; u = g + 10; g = s + 11; s = z + 5; e = 4; q = u + 19; p = e + 3; o = k + 14; d = f + 5; z = b + 2; l = d + 1. Given that e = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 5 to l, which gives l = f + 6.\n2. Substitute f = o + 10 to l, which gives l = o + 16.\n3. Substitute o = k + 14 to l, which gives l = k + 30.\n4. Substitute k = p + 6 to l, which gives l = p + 36.\n5. Substitute p = e + 3 to l, which gives l = e + 39.\n6. Substitute e = 4 to l, which gives l = 43.\n\nThus, the final answer is l = \\boxed{43}.",
"index": 7678,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 2; k = p + 6; f = o + 10; u = g + 10; g = s + 11; s = z + 5; e = 4; q = u + 19; p = e + 3; o = k + 14; d = f + 5; z = b + 2; l = d + 1. Given that e = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 13", "s": "g + 12", "x": "s + 12", "t": "x + 2", "j": "t + 11", "p": "j + 3", "b": "z + 15", "y": "b + 9", "h": "y + 7", "w": "h + 16", "o": "w + 15", "n": "o + 16", "z": 14}, "premises": {"z": 14}, "target": "p"}, "answer": {"steps": [["j", "t + 11", "t + 14"], ["t", "x + 2", "x + 16"], ["x", "s + 12", "s + 28"], ["s", "g + 12", "g + 40"], ["g", "z + 13", "z + 53"], ["z", 14, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"z": 14}, "is_reverse": true}} | 7,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 14; y = b + 9; x = s + 12; g = z + 13; h = y + 7; s = g + 12; j = t + 11; t = x + 2; n = o + 16; p = j + 3; w = h + 16; b = z + 15; o = w + 15. Given that z = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 11 to p, which gives p = t + 14.\n2. Substitute t = x + 2 to p, which gives p = x + 16.\n3. Substitute x = s + 12 to p, which gives p = s + 28.\n4. Substitute s = g + 12 to p, which gives p = g + 40.\n5. Substitute g = z + 13 to p, which gives p = z + 53.\n6. Substitute z = 14 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 7679,
"question": "Suppose a collection of variables is related by the following definitions: z = 14; y = b + 9; x = s + 12; g = z + 13; h = y + 7; s = g + 12; j = t + 11; t = x + 2; n = o + 16; p = j + 3; w = h + 16; b = z + 15; o = w + 15. Given that z = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 8", "s": "v + 13", "p": "s + 1", "h": "p + 6", "e": "h + 19", "d": "e + 9", "w": "g + 1", "n": "w + 14", "u": "n + 18", "m": "u + 7", "o": "m + 15", "l": "o + 4", "g": 7}, "premises": {"g": 7}, "target": "d"}, "answer": {"steps": [["e", "h + 19", "h + 28"], ["h", "p + 6", "p + 34"], ["p", "s + 1", "s + 35"], ["s", "v + 13", "v + 48"], ["v", "g + 8", "g + 56"], ["g", 7, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"g": 7}, "is_reverse": true}} | 7,680 | 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 = u + 7; w = g + 1; s = v + 13; p = s + 1; v = g + 8; n = w + 14; e = h + 19; h = p + 6; l = o + 4; o = m + 15; d = e + 9; u = n + 18; g = 7. If g = 7, 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 e = h + 19 to d, which gives d = h + 28.\n2. Substitute h = p + 6 to d, which gives d = p + 34.\n3. Substitute p = s + 1 to d, which gives d = s + 35.\n4. Substitute s = v + 13 to d, which gives d = v + 48.\n5. Substitute v = g + 8 to d, which gives d = g + 56.\n6. Substitute g = 7 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 7680,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 7; w = g + 1; s = v + 13; p = s + 1; v = g + 8; n = w + 14; e = h + 19; h = p + 6; l = o + 4; o = m + 15; d = e + 9; u = n + 18; g = 7. If g = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 13", "j": "c + 16", "o": "j + 12", "i": "o + 5", "w": "i + 6", "h": "w + 5", "p": "n + 17", "u": "p + 8", "f": "u + 8", "b": "f + 13", "y": "b + 11", "m": "y + 9", "n": 20}, "premises": {"n": 20}, "target": "h"}, "answer": {"steps": [["w", "i + 6", "i + 11"], ["i", "o + 5", "o + 16"], ["o", "j + 12", "j + 28"], ["j", "c + 16", "c + 44"], ["c", "n + 13", "n + 57"], ["n", 20, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"n": 20}, "is_reverse": true}} | 7,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = u + 8; u = p + 8; i = o + 5; b = f + 13; h = w + 5; j = c + 16; y = b + 11; m = y + 9; w = i + 6; c = n + 13; o = j + 12; p = n + 17; n = 20. If n = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 6 to h, which gives h = i + 11.\n2. Substitute i = o + 5 to h, which gives h = o + 16.\n3. Substitute o = j + 12 to h, which gives h = j + 28.\n4. Substitute j = c + 16 to h, which gives h = c + 44.\n5. Substitute c = n + 13 to h, which gives h = n + 57.\n6. Substitute n = 20 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 7681,
"question": "Consider a system of variables where each variable is defined as follows: f = u + 8; u = p + 8; i = o + 5; b = f + 13; h = w + 5; j = c + 16; y = b + 11; m = y + 9; w = i + 6; c = n + 13; o = j + 12; p = n + 17; n = 20. If n = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 5", "m": "p + 19", "e": "m + 10", "c": "e + 3", "f": "c + 12", "y": "f + 10", "z": "i + 11", "j": "z + 3", "r": "j + 20", "t": "r + 20", "x": "t + 10", "l": "x + 7", "i": 12}, "premises": {"i": 12}, "target": "y"}, "answer": {"steps": [["f", "c + 12", "c + 22"], ["c", "e + 3", "e + 25"], ["e", "m + 10", "m + 35"], ["m", "p + 19", "p + 54"], ["p", "i + 5", "i + 59"], ["i", 12, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"i": 12}, "is_reverse": true}} | 7,682 | 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 + 10; l = x + 7; m = p + 19; x = t + 10; t = r + 20; i = 12; r = j + 20; p = i + 5; c = e + 3; y = f + 10; j = z + 3; z = i + 11; f = c + 12. If i = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 12 to y, which gives y = c + 22.\n2. Substitute c = e + 3 to y, which gives y = e + 25.\n3. Substitute e = m + 10 to y, which gives y = m + 35.\n4. Substitute m = p + 19 to y, which gives y = p + 54.\n5. Substitute p = i + 5 to y, which gives y = i + 59.\n6. Substitute i = 12 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 7682,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 10; l = x + 7; m = p + 19; x = t + 10; t = r + 20; i = 12; r = j + 20; p = i + 5; c = e + 3; y = f + 10; j = z + 3; z = i + 11; f = c + 12. If i = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 13", "a": "c + 17", "d": "a + 1", "v": "d + 16", "q": "v + 7", "i": "q + 9", "o": "z + 2", "e": "o + 8", "f": "e + 2", "t": "f + 13", "r": "t + 12", "y": "r + 20", "z": 12}, "premises": {"z": 12}, "target": "i"}, "answer": {"steps": [["q", "v + 7", "v + 16"], ["v", "d + 16", "d + 32"], ["d", "a + 1", "a + 33"], ["a", "c + 17", "c + 50"], ["c", "z + 13", "z + 63"], ["z", 12, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"z": 12}, "is_reverse": true}} | 7,683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 2; t = f + 13; q = v + 7; i = q + 9; e = o + 8; z = 12; r = t + 12; o = z + 2; y = r + 20; v = d + 16; d = a + 1; a = c + 17; c = z + 13. If z = 12, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 7 to i, which gives i = v + 16.\n2. Substitute v = d + 16 to i, which gives i = d + 32.\n3. Substitute d = a + 1 to i, which gives i = a + 33.\n4. Substitute a = c + 17 to i, which gives i = c + 50.\n5. Substitute c = z + 13 to i, which gives i = z + 63.\n6. Substitute z = 12 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 7683,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 2; t = f + 13; q = v + 7; i = q + 9; e = o + 8; z = 12; r = t + 12; o = z + 2; y = r + 20; v = d + 16; d = a + 1; a = c + 17; c = z + 13. If z = 12, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 1", "d": "t + 4", "l": "d + 4", "x": "l + 2", "p": "x + 17", "k": "p + 1", "j": "a + 11", "c": "j + 6", "z": "c + 15", "o": "z + 3", "h": "o + 15", "r": "h + 4", "a": 15}, "premises": {"a": 15}, "target": "k"}, "answer": {"steps": [["p", "x + 17", "x + 18"], ["x", "l + 2", "l + 20"], ["l", "d + 4", "d + 24"], ["d", "t + 4", "t + 28"], ["t", "a + 1", "a + 29"], ["a", 15, "44"]], "target_var_name": "k", "target_value": 44, "value_dict": {"a": 15}, "is_reverse": true}} | 7,684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 3; k = p + 1; p = x + 17; h = o + 15; a = 15; d = t + 4; z = c + 15; c = j + 6; t = a + 1; l = d + 4; j = a + 11; x = l + 2; r = h + 4. If a = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 17 to k, which gives k = x + 18.\n2. Substitute x = l + 2 to k, which gives k = l + 20.\n3. Substitute l = d + 4 to k, which gives k = d + 24.\n4. Substitute d = t + 4 to k, which gives k = t + 28.\n5. Substitute t = a + 1 to k, which gives k = a + 29.\n6. Substitute a = 15 to k, which gives k = 44.\n\nThus, the final answer is k = \\boxed{44}.",
"index": 7684,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 3; k = p + 1; p = x + 17; h = o + 15; a = 15; d = t + 4; z = c + 15; c = j + 6; t = a + 1; l = d + 4; j = a + 11; x = l + 2; r = h + 4. If a = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 10", "j": "w + 12", "d": "j + 8", "x": "d + 16", "n": "x + 4", "e": "n + 8", "z": "b + 3", "f": "z + 15", "l": "f + 7", "y": "l + 14", "s": "y + 18", "r": "s + 4", "b": 15}, "premises": {"b": 15}, "target": "e"}, "answer": {"steps": [["n", "x + 4", "x + 12"], ["x", "d + 16", "d + 28"], ["d", "j + 8", "j + 36"], ["j", "w + 12", "w + 48"], ["w", "b + 10", "b + 58"], ["b", 15, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"b": 15}, "is_reverse": true}} | 7,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 18; y = l + 14; e = n + 8; x = d + 16; d = j + 8; w = b + 10; f = z + 15; j = w + 12; z = b + 3; b = 15; n = x + 4; r = s + 4; l = f + 7. Given that b = 15, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 4 to e, which gives e = x + 12.\n2. Substitute x = d + 16 to e, which gives e = d + 28.\n3. Substitute d = j + 8 to e, which gives e = j + 36.\n4. Substitute j = w + 12 to e, which gives e = w + 48.\n5. Substitute w = b + 10 to e, which gives e = b + 58.\n6. Substitute b = 15 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 7685,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 18; y = l + 14; e = n + 8; x = d + 16; d = j + 8; w = b + 10; f = z + 15; j = w + 12; z = b + 3; b = 15; n = x + 4; r = s + 4; l = f + 7. Given that b = 15, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 20", "m": "b + 15", "d": "m + 1", "r": "d + 6", "g": "r + 19", "t": "g + 2", "v": "i + 17", "x": "v + 19", "w": "x + 2", "a": "w + 4", "q": "a + 6", "s": "q + 20", "i": 2}, "premises": {"i": 2}, "target": "t"}, "answer": {"steps": [["g", "r + 19", "r + 21"], ["r", "d + 6", "d + 27"], ["d", "m + 1", "m + 28"], ["m", "b + 15", "b + 43"], ["b", "i + 20", "i + 63"], ["i", 2, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"i": 2}, "is_reverse": true}} | 7,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 20; a = w + 4; d = m + 1; t = g + 2; w = x + 2; m = b + 15; v = i + 17; x = v + 19; r = d + 6; q = a + 6; s = q + 20; g = r + 19; i = 2. If i = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 19 to t, which gives t = r + 21.\n2. Substitute r = d + 6 to t, which gives t = d + 27.\n3. Substitute d = m + 1 to t, which gives t = m + 28.\n4. Substitute m = b + 15 to t, which gives t = b + 43.\n5. Substitute b = i + 20 to t, which gives t = i + 63.\n6. Substitute i = 2 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 7686,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 20; a = w + 4; d = m + 1; t = g + 2; w = x + 2; m = b + 15; v = i + 17; x = v + 19; r = d + 6; q = a + 6; s = q + 20; g = r + 19; i = 2. If i = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 20", "l": "y + 18", "g": "l + 11", "v": "g + 17", "u": "v + 16", "j": "u + 16", "i": "h + 14", "c": "i + 12", "z": "c + 9", "e": "z + 13", "q": "e + 2", "w": "q + 16", "h": 7}, "premises": {"h": 7}, "target": "j"}, "answer": {"steps": [["u", "v + 16", "v + 32"], ["v", "g + 17", "g + 49"], ["g", "l + 11", "l + 60"], ["l", "y + 18", "y + 78"], ["y", "h + 20", "h + 98"], ["h", 7, "105"]], "target_var_name": "j", "target_value": 105, "value_dict": {"h": 7}, "is_reverse": true}} | 7,687 | 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 + 13; u = v + 16; y = h + 20; v = g + 17; g = l + 11; l = y + 18; i = h + 14; j = u + 16; q = e + 2; w = q + 16; c = i + 12; h = 7; z = c + 9. If h = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 16 to j, which gives j = v + 32.\n2. Substitute v = g + 17 to j, which gives j = g + 49.\n3. Substitute g = l + 11 to j, which gives j = l + 60.\n4. Substitute l = y + 18 to j, which gives j = y + 78.\n5. Substitute y = h + 20 to j, which gives j = h + 98.\n6. Substitute h = 7 to j, which gives j = 105.\n\nThus, the final answer is j = \\boxed{105}.",
"index": 7687,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 13; u = v + 16; y = h + 20; v = g + 17; g = l + 11; l = y + 18; i = h + 14; j = u + 16; q = e + 2; w = q + 16; c = i + 12; h = 7; z = c + 9. If h = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 16", "k": "p + 14", "u": "k + 6", "d": "u + 3", "g": "d + 11", "n": "g + 10", "a": "q + 5", "t": "a + 11", "e": "t + 5", "w": "e + 13", "v": "w + 4", "s": "v + 19", "q": 9}, "premises": {"q": 9}, "target": "n"}, "answer": {"steps": [["g", "d + 11", "d + 21"], ["d", "u + 3", "u + 24"], ["u", "k + 6", "k + 30"], ["k", "p + 14", "p + 44"], ["p", "q + 16", "q + 60"], ["q", 9, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"q": 9}, "is_reverse": true}} | 7,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 16; u = k + 6; e = t + 5; q = 9; n = g + 10; v = w + 4; d = u + 3; a = q + 5; g = d + 11; k = p + 14; t = a + 11; s = v + 19; w = e + 13. If q = 9, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 11 to n, which gives n = d + 21.\n2. Substitute d = u + 3 to n, which gives n = u + 24.\n3. Substitute u = k + 6 to n, which gives n = k + 30.\n4. Substitute k = p + 14 to n, which gives n = p + 44.\n5. Substitute p = q + 16 to n, which gives n = q + 60.\n6. Substitute q = 9 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 7688,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 16; u = k + 6; e = t + 5; q = 9; n = g + 10; v = w + 4; d = u + 3; a = q + 5; g = d + 11; k = p + 14; t = a + 11; s = v + 19; w = e + 13. If q = 9, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 20", "q": "d + 1", "j": "q + 15", "g": "j + 12", "r": "g + 8", "c": "r + 17", "m": "t + 20", "y": "m + 7", "f": "y + 13", "h": "f + 12", "l": "h + 19", "a": "l + 15", "t": 16}, "premises": {"t": 16}, "target": "c"}, "answer": {"steps": [["r", "g + 8", "g + 25"], ["g", "j + 12", "j + 37"], ["j", "q + 15", "q + 52"], ["q", "d + 1", "d + 53"], ["d", "t + 20", "t + 73"], ["t", 16, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"t": 16}, "is_reverse": true}} | 7,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = t + 20; g = j + 12; j = q + 15; q = d + 1; d = t + 20; c = r + 17; r = g + 8; h = f + 12; y = m + 7; f = y + 13; a = l + 15; t = 16; l = h + 19. Given that t = 16, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 8 to c, which gives c = g + 25.\n2. Substitute g = j + 12 to c, which gives c = j + 37.\n3. Substitute j = q + 15 to c, which gives c = q + 52.\n4. Substitute q = d + 1 to c, which gives c = d + 53.\n5. Substitute d = t + 20 to c, which gives c = t + 73.\n6. Substitute t = 16 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 7689,
"question": "Suppose a collection of variables is related by the following definitions: m = t + 20; g = j + 12; j = q + 15; q = d + 1; d = t + 20; c = r + 17; r = g + 8; h = f + 12; y = m + 7; f = y + 13; a = l + 15; t = 16; l = h + 19. Given that t = 16, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 8", "o": "b + 14", "c": "o + 10", "l": "c + 16", "d": "l + 2", "y": "d + 2", "u": "f + 12", "s": "u + 18", "m": "s + 6", "h": "m + 17", "r": "h + 8", "t": "r + 15", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["d", "l + 2", "l + 4"], ["l", "c + 16", "c + 20"], ["c", "o + 10", "o + 30"], ["o", "b + 14", "b + 44"], ["b", "f + 8", "f + 52"], ["f", 7, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"f": 7}, "is_reverse": true}} | 7,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = o + 10; y = d + 2; l = c + 16; t = r + 15; r = h + 8; s = u + 18; d = l + 2; b = f + 8; f = 7; m = s + 6; h = m + 17; u = f + 12; o = b + 14. Given that f = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 2 to y, which gives y = l + 4.\n2. Substitute l = c + 16 to y, which gives y = c + 20.\n3. Substitute c = o + 10 to y, which gives y = o + 30.\n4. Substitute o = b + 14 to y, which gives y = b + 44.\n5. Substitute b = f + 8 to y, which gives y = f + 52.\n6. Substitute f = 7 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 7690,
"question": "Suppose a collection of variables is related by the following definitions: c = o + 10; y = d + 2; l = c + 16; t = r + 15; r = h + 8; s = u + 18; d = l + 2; b = f + 8; f = 7; m = s + 6; h = m + 17; u = f + 12; o = b + 14. Given that f = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 12", "a": "p + 18", "c": "a + 15", "k": "c + 16", "s": "k + 6", "o": "s + 2", "q": "r + 14", "b": "q + 11", "v": "b + 14", "w": "v + 13", "t": "w + 1", "h": "t + 14", "r": 14}, "premises": {"r": 14}, "target": "o"}, "answer": {"steps": [["s", "k + 6", "k + 8"], ["k", "c + 16", "c + 24"], ["c", "a + 15", "a + 39"], ["a", "p + 18", "p + 57"], ["p", "r + 12", "r + 69"], ["r", 14, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"r": 14}, "is_reverse": true}} | 7,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 14; r = 14; k = c + 16; w = v + 13; q = r + 14; h = t + 14; a = p + 18; t = w + 1; b = q + 11; s = k + 6; p = r + 12; o = s + 2; c = a + 15. Given that r = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 6 to o, which gives o = k + 8.\n2. Substitute k = c + 16 to o, which gives o = c + 24.\n3. Substitute c = a + 15 to o, which gives o = a + 39.\n4. Substitute a = p + 18 to o, which gives o = p + 57.\n5. Substitute p = r + 12 to o, which gives o = r + 69.\n6. Substitute r = 14 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 7691,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 14; r = 14; k = c + 16; w = v + 13; q = r + 14; h = t + 14; a = p + 18; t = w + 1; b = q + 11; s = k + 6; p = r + 12; o = s + 2; c = a + 15. Given that r = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 12", "p": "s + 4", "w": "p + 1", "i": "w + 11", "e": "i + 13", "m": "e + 16", "h": "q + 2", "n": "h + 10", "d": "n + 8", "a": "d + 3", "f": "a + 9", "l": "f + 3", "q": 4}, "premises": {"q": 4}, "target": "m"}, "answer": {"steps": [["e", "i + 13", "i + 29"], ["i", "w + 11", "w + 40"], ["w", "p + 1", "p + 41"], ["p", "s + 4", "s + 45"], ["s", "q + 12", "q + 57"], ["q", 4, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"q": 4}, "is_reverse": true}} | 7,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 8; p = s + 4; s = q + 12; f = a + 9; e = i + 13; i = w + 11; q = 4; h = q + 2; n = h + 10; a = d + 3; w = p + 1; m = e + 16; l = f + 3. If q = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 13 to m, which gives m = i + 29.\n2. Substitute i = w + 11 to m, which gives m = w + 40.\n3. Substitute w = p + 1 to m, which gives m = p + 41.\n4. Substitute p = s + 4 to m, which gives m = s + 45.\n5. Substitute s = q + 12 to m, which gives m = q + 57.\n6. Substitute q = 4 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 7692,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 8; p = s + 4; s = q + 12; f = a + 9; e = i + 13; i = w + 11; q = 4; h = q + 2; n = h + 10; a = d + 3; w = p + 1; m = e + 16; l = f + 3. If q = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 17", "i": "g + 3", "e": "i + 1", "l": "e + 2", "j": "l + 14", "v": "j + 16", "w": "z + 10", "p": "w + 19", "x": "p + 3", "d": "x + 10", "u": "d + 4", "c": "u + 16", "z": 7}, "premises": {"z": 7}, "target": "v"}, "answer": {"steps": [["j", "l + 14", "l + 30"], ["l", "e + 2", "e + 32"], ["e", "i + 1", "i + 33"], ["i", "g + 3", "g + 36"], ["g", "z + 17", "z + 53"], ["z", 7, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"z": 7}, "is_reverse": true}} | 7,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 17; i = g + 3; x = p + 3; l = e + 2; e = i + 1; c = u + 16; v = j + 16; z = 7; u = d + 4; p = w + 19; j = l + 14; d = x + 10; w = z + 10. Given that z = 7, find the 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 j = l + 14 to v, which gives v = l + 30.\n2. Substitute l = e + 2 to v, which gives v = e + 32.\n3. Substitute e = i + 1 to v, which gives v = i + 33.\n4. Substitute i = g + 3 to v, which gives v = g + 36.\n5. Substitute g = z + 17 to v, which gives v = z + 53.\n6. Substitute z = 7 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 7693,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 17; i = g + 3; x = p + 3; l = e + 2; e = i + 1; c = u + 16; v = j + 16; z = 7; u = d + 4; p = w + 19; j = l + 14; d = x + 10; w = z + 10. Given that z = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 10", "n": "u + 6", "q": "n + 3", "o": "q + 6", "w": "o + 19", "c": "w + 7", "z": "m + 13", "h": "z + 2", "k": "h + 7", "r": "k + 8", "x": "r + 2", "v": "x + 20", "m": 4}, "premises": {"m": 4}, "target": "c"}, "answer": {"steps": [["w", "o + 19", "o + 26"], ["o", "q + 6", "q + 32"], ["q", "n + 3", "n + 35"], ["n", "u + 6", "u + 41"], ["u", "m + 10", "m + 51"], ["m", 4, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"m": 4}, "is_reverse": true}} | 7,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 4; x = r + 2; q = n + 3; z = m + 13; h = z + 2; c = w + 7; r = k + 8; k = h + 7; n = u + 6; o = q + 6; v = x + 20; u = m + 10; w = o + 19. If m = 4, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 19 to c, which gives c = o + 26.\n2. Substitute o = q + 6 to c, which gives c = q + 32.\n3. Substitute q = n + 3 to c, which gives c = n + 35.\n4. Substitute n = u + 6 to c, which gives c = u + 41.\n5. Substitute u = m + 10 to c, which gives c = m + 51.\n6. Substitute m = 4 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 7694,
"question": "Consider a system of variables where each variable is defined as follows: m = 4; x = r + 2; q = n + 3; z = m + 13; h = z + 2; c = w + 7; r = k + 8; k = h + 7; n = u + 6; o = q + 6; v = x + 20; u = m + 10; w = o + 19. If m = 4, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 2", "c": "q + 17", "s": "c + 14", "v": "s + 7", "h": "v + 4", "t": "h + 12", "y": "u + 9", "j": "y + 6", "w": "j + 5", "x": "w + 6", "e": "x + 17", "f": "e + 17", "u": 12}, "premises": {"u": 12}, "target": "t"}, "answer": {"steps": [["h", "v + 4", "v + 16"], ["v", "s + 7", "s + 23"], ["s", "c + 14", "c + 37"], ["c", "q + 17", "q + 54"], ["q", "u + 2", "u + 56"], ["u", 12, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"u": 12}, "is_reverse": true}} | 7,695 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 4; x = w + 6; s = c + 14; j = y + 6; y = u + 9; w = j + 5; e = x + 17; f = e + 17; t = h + 12; u = 12; v = s + 7; q = u + 2; c = q + 17. Given that u = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 4 to t, which gives t = v + 16.\n2. Substitute v = s + 7 to t, which gives t = s + 23.\n3. Substitute s = c + 14 to t, which gives t = c + 37.\n4. Substitute c = q + 17 to t, which gives t = q + 54.\n5. Substitute q = u + 2 to t, which gives t = u + 56.\n6. Substitute u = 12 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 7695,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 4; x = w + 6; s = c + 14; j = y + 6; y = u + 9; w = j + 5; e = x + 17; f = e + 17; t = h + 12; u = 12; v = s + 7; q = u + 2; c = q + 17. Given that u = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 16", "j": "f + 15", "l": "j + 10", "a": "l + 18", "y": "a + 5", "h": "y + 10", "v": "o + 15", "n": "v + 14", "p": "n + 11", "w": "p + 19", "b": "w + 9", "c": "b + 2", "o": 6}, "premises": {"o": 6}, "target": "h"}, "answer": {"steps": [["y", "a + 5", "a + 15"], ["a", "l + 18", "l + 33"], ["l", "j + 10", "j + 43"], ["j", "f + 15", "f + 58"], ["f", "o + 16", "o + 74"], ["o", 6, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"o": 6}, "is_reverse": true}} | 7,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 15; w = p + 19; f = o + 16; y = a + 5; p = n + 11; a = l + 18; l = j + 10; h = y + 10; b = w + 9; o = 6; c = b + 2; j = f + 15; n = v + 14. If o = 6, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 5 to h, which gives h = a + 15.\n2. Substitute a = l + 18 to h, which gives h = l + 33.\n3. Substitute l = j + 10 to h, which gives h = j + 43.\n4. Substitute j = f + 15 to h, which gives h = f + 58.\n5. Substitute f = o + 16 to h, which gives h = o + 74.\n6. Substitute o = 6 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 7696,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 15; w = p + 19; f = o + 16; y = a + 5; p = n + 11; a = l + 18; l = j + 10; h = y + 10; b = w + 9; o = 6; c = b + 2; j = f + 15; n = v + 14. If o = 6, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 4", "z": "i + 16", "d": "z + 13", "f": "d + 11", "b": "f + 20", "p": "b + 16", "h": "v + 18", "g": "h + 11", "u": "g + 4", "o": "u + 10", "l": "o + 5", "x": "l + 10", "v": 5}, "premises": {"v": 5}, "target": "p"}, "answer": {"steps": [["b", "f + 20", "f + 36"], ["f", "d + 11", "d + 47"], ["d", "z + 13", "z + 60"], ["z", "i + 16", "i + 76"], ["i", "v + 4", "v + 80"], ["v", 5, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"v": 5}, "is_reverse": true}} | 7,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 20; p = b + 16; i = v + 4; f = d + 11; d = z + 13; v = 5; x = l + 10; l = o + 5; z = i + 16; h = v + 18; u = g + 4; o = u + 10; g = h + 11. If v = 5, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 20 to p, which gives p = f + 36.\n2. Substitute f = d + 11 to p, which gives p = d + 47.\n3. Substitute d = z + 13 to p, which gives p = z + 60.\n4. Substitute z = i + 16 to p, which gives p = i + 76.\n5. Substitute i = v + 4 to p, which gives p = v + 80.\n6. Substitute v = 5 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 7697,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 20; p = b + 16; i = v + 4; f = d + 11; d = z + 13; v = 5; x = l + 10; l = o + 5; z = i + 16; h = v + 18; u = g + 4; o = u + 10; g = h + 11. If v = 5, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 8", "b": "x + 13", "n": "b + 1", "k": "n + 14", "a": "k + 2", "y": "a + 5", "s": "e + 7", "c": "s + 7", "p": "c + 16", "g": "p + 11", "m": "g + 20", "j": "m + 8", "e": 10}, "premises": {"e": 10}, "target": "y"}, "answer": {"steps": [["a", "k + 2", "k + 7"], ["k", "n + 14", "n + 21"], ["n", "b + 1", "b + 22"], ["b", "x + 13", "x + 35"], ["x", "e + 8", "e + 43"], ["e", 10, "53"]], "target_var_name": "y", "target_value": 53, "value_dict": {"e": 10}, "is_reverse": true}} | 7,698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 7; b = x + 13; x = e + 8; g = p + 11; c = s + 7; n = b + 1; j = m + 8; k = n + 14; a = k + 2; e = 10; m = g + 20; y = a + 5; p = c + 16. Given that e = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 2 to y, which gives y = k + 7.\n2. Substitute k = n + 14 to y, which gives y = n + 21.\n3. Substitute n = b + 1 to y, which gives y = b + 22.\n4. Substitute b = x + 13 to y, which gives y = x + 35.\n5. Substitute x = e + 8 to y, which gives y = e + 43.\n6. Substitute e = 10 to y, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 7698,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 7; b = x + 13; x = e + 8; g = p + 11; c = s + 7; n = b + 1; j = m + 8; k = n + 14; a = k + 2; e = 10; m = g + 20; y = a + 5; p = c + 16. Given that e = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 13", "g": "p + 2", "k": "g + 7", "x": "k + 4", "e": "x + 6", "u": "e + 17", "i": "o + 3", "w": "i + 11", "c": "w + 13", "h": "c + 7", "a": "h + 16", "f": "a + 10", "o": 1}, "premises": {"o": 1}, "target": "u"}, "answer": {"steps": [["e", "x + 6", "x + 23"], ["x", "k + 4", "k + 27"], ["k", "g + 7", "g + 34"], ["g", "p + 2", "p + 36"], ["p", "o + 13", "o + 49"], ["o", 1, "50"]], "target_var_name": "u", "target_value": 50, "value_dict": {"o": 1}, "is_reverse": true}} | 7,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 1; p = o + 13; a = h + 16; h = c + 7; c = w + 13; x = k + 4; k = g + 7; g = p + 2; f = a + 10; w = i + 11; u = e + 17; e = x + 6; i = o + 3. If o = 1, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 6 to u, which gives u = x + 23.\n2. Substitute x = k + 4 to u, which gives u = k + 27.\n3. Substitute k = g + 7 to u, which gives u = g + 34.\n4. Substitute g = p + 2 to u, which gives u = p + 36.\n5. Substitute p = o + 13 to u, which gives u = o + 49.\n6. Substitute o = 1 to u, which gives u = 50.\n\nThus, the final answer is u = \\boxed{50}.",
"index": 7699,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 1; p = o + 13; a = h + 16; h = c + 7; c = w + 13; x = k + 4; k = g + 7; g = p + 2; f = a + 10; w = i + 11; u = e + 17; e = x + 6; i = o + 3. If o = 1, what is the resulting value of u?",
"split": "train"
} |
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