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": {"x": "j + 18", "b": "x + 8", "e": "b + 19", "w": "e + 4", "h": "w + 10", "y": "h + 12", "v": "j + 14", "z": "v + 10", "c": "z + 5", "n": "c + 12", "a": "n + 2", "m": "a + 20", "j": 13}, "premises": {"j": 13}, "target": "y"}, "answer": {"steps": [["h", "w + 10", "w + 22"], ["w", "e + 4", "e + 26"], ["e", "b + 19", "b + 45"], ["b", "x + 8", "x + 53"], ["x", "j + 18", "j + 71"], ["j", 13, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"j": 13}, "is_reverse": true}} | 13,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 19; z = v + 10; c = z + 5; w = e + 4; x = j + 18; n = c + 12; b = x + 8; h = w + 10; m = a + 20; j = 13; a = n + 2; v = j + 14; y = h + 12. Given that j = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 10 to y, which gives y = w + 22.\n2. Substitute w = e + 4 to y, which gives y = e + 26.\n3. Substitute e = b + 19 to y, which gives y = b + 45.\n4. Substitute b = x + 8 to y, which gives y = x + 53.\n5. Substitute x = j + 18 to y, which gives y = j + 71.\n6. Substitute j = 13 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 13500,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 19; z = v + 10; c = z + 5; w = e + 4; x = j + 18; n = c + 12; b = x + 8; h = w + 10; m = a + 20; j = 13; a = n + 2; v = j + 14; y = h + 12. Given that j = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 15", "d": "o + 4", "w": "d + 5", "c": "w + 15", "g": "c + 1", "l": "g + 17", "p": "y + 12", "r": "p + 5", "s": "r + 5", "t": "s + 2", "z": "t + 8", "v": "z + 13", "y": 20}, "premises": {"y": 20}, "target": "l"}, "answer": {"steps": [["g", "c + 1", "c + 18"], ["c", "w + 15", "w + 33"], ["w", "d + 5", "d + 38"], ["d", "o + 4", "o + 42"], ["o", "y + 15", "y + 57"], ["y", 20, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"y": 20}, "is_reverse": true}} | 13,501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 15; w = d + 5; r = p + 5; l = g + 17; p = y + 12; s = r + 5; y = 20; d = o + 4; v = z + 13; g = c + 1; t = s + 2; o = y + 15; z = t + 8. If y = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 1 to l, which gives l = c + 18.\n2. Substitute c = w + 15 to l, which gives l = w + 33.\n3. Substitute w = d + 5 to l, which gives l = d + 38.\n4. Substitute d = o + 4 to l, which gives l = o + 42.\n5. Substitute o = y + 15 to l, which gives l = y + 57.\n6. Substitute y = 20 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 13501,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 15; w = d + 5; r = p + 5; l = g + 17; p = y + 12; s = r + 5; y = 20; d = o + 4; v = z + 13; g = c + 1; t = s + 2; o = y + 15; z = t + 8. If y = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 20", "n": "r + 4", "y": "n + 5", "h": "y + 19", "p": "h + 13", "z": "p + 9", "s": "g + 20", "m": "s + 6", "e": "m + 7", "c": "e + 15", "x": "c + 7", "d": "x + 14", "g": 5}, "premises": {"g": 5}, "target": "z"}, "answer": {"steps": [["p", "h + 13", "h + 22"], ["h", "y + 19", "y + 41"], ["y", "n + 5", "n + 46"], ["n", "r + 4", "r + 50"], ["r", "g + 20", "g + 70"], ["g", 5, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"g": 5}, "is_reverse": true}} | 13,502 | 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 = y + 19; x = c + 7; z = p + 9; g = 5; p = h + 13; r = g + 20; y = n + 5; n = r + 4; c = e + 15; s = g + 20; e = m + 7; m = s + 6; d = x + 14. If g = 5, what is the resulting value of z?",
"role": "user"
... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 13 to z, which gives z = h + 22.\n2. Substitute h = y + 19 to z, which gives z = y + 41.\n3. Substitute y = n + 5 to z, which gives z = n + 46.\n4. Substitute n = r + 4 to z, which gives z = r + 50.\n5. Substitute r = g + 20 to z, which gives z = g + 70.\n6. Substitute g = 5 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 13502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 19; x = c + 7; z = p + 9; g = 5; p = h + 13; r = g + 20; y = n + 5; n = r + 4; c = e + 15; s = g + 20; e = m + 7; m = s + 6; d = x + 14. If g = 5, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 6", "j": "n + 19", "m": "j + 19", "d": "m + 10", "q": "d + 6", "r": "q + 5", "p": "y + 18", "u": "p + 8", "k": "u + 17", "a": "k + 10", "c": "a + 20", "e": "c + 2", "y": 8}, "premises": {"y": 8}, "target": "r"}, "answer": {"steps": [["q", "d + 6", "d + 11"], ["d", "m + 10", "m + 21"], ["m", "j + 19", "j + 40"], ["j", "n + 19", "n + 59"], ["n", "y + 6", "y + 65"], ["y", 8, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"y": 8}, "is_reverse": true}} | 13,503 | 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 = 8; r = q + 5; k = u + 17; p = y + 18; j = n + 19; u = p + 8; e = c + 2; n = y + 6; d = m + 10; a = k + 10; m = j + 19; q = d + 6; c = a + 20. If y = 8, 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 q = d + 6 to r, which gives r = d + 11.\n2. Substitute d = m + 10 to r, which gives r = m + 21.\n3. Substitute m = j + 19 to r, which gives r = j + 40.\n4. Substitute j = n + 19 to r, which gives r = n + 59.\n5. Substitute n = y + 6 to r, which gives r = y + 65.\n6. Substitute y = 8 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 13503,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 8; r = q + 5; k = u + 17; p = y + 18; j = n + 19; u = p + 8; e = c + 2; n = y + 6; d = m + 10; a = k + 10; m = j + 19; q = d + 6; c = a + 20. If y = 8, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 8", "i": "c + 16", "e": "i + 19", "q": "e + 16", "g": "q + 14", "s": "g + 17", "n": "x + 7", "d": "n + 6", "k": "d + 14", "u": "k + 6", "o": "u + 12", "a": "o + 5", "x": 20}, "premises": {"x": 20}, "target": "s"}, "answer": {"steps": [["g", "q + 14", "q + 31"], ["q", "e + 16", "e + 47"], ["e", "i + 19", "i + 66"], ["i", "c + 16", "c + 82"], ["c", "x + 8", "x + 90"], ["x", 20, "110"]], "target_var_name": "s", "target_value": 110, "value_dict": {"x": 20}, "is_reverse": true}} | 13,504 | 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 = c + 16; o = u + 12; x = 20; g = q + 14; u = k + 6; d = n + 6; n = x + 7; c = x + 8; e = i + 19; q = e + 16; s = g + 17; a = o + 5; k = d + 14. If x = 20, what is the resulting value of s?",
"role": "use... | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 14 to s, which gives s = q + 31.\n2. Substitute q = e + 16 to s, which gives s = e + 47.\n3. Substitute e = i + 19 to s, which gives s = i + 66.\n4. Substitute i = c + 16 to s, which gives s = c + 82.\n5. Substitute c = x + 8 to s, which gives s = x + 90.\n6. Substitute x = 20 to s, which gives s = 110.\n\nThus, the final answer is s = \\boxed{110}.",
"index": 13504,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 16; o = u + 12; x = 20; g = q + 14; u = k + 6; d = n + 6; n = x + 7; c = x + 8; e = i + 19; q = e + 16; s = g + 17; a = o + 5; k = d + 14. If x = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 7", "y": "c + 13", "u": "y + 19", "k": "u + 20", "n": "k + 14", "i": "n + 12", "o": "l + 14", "j": "o + 19", "p": "j + 20", "r": "p + 20", "w": "r + 7", "a": "w + 2", "l": 7}, "premises": {"l": 7}, "target": "i"}, "answer": {"steps": [["n", "k + 14", "k + 26"], ["k", "u + 20", "u + 46"], ["u", "y + 19", "y + 65"], ["y", "c + 13", "c + 78"], ["c", "l + 7", "l + 85"], ["l", 7, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"l": 7}, "is_reverse": true}} | 13,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 7; k = u + 20; a = w + 2; y = c + 13; u = y + 19; c = l + 7; w = r + 7; i = n + 12; p = j + 20; j = o + 19; o = l + 14; r = p + 20; n = k + 14. If l = 7, what is the resulting value of i?",
"role": "use... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 14 to i, which gives i = k + 26.\n2. Substitute k = u + 20 to i, which gives i = u + 46.\n3. Substitute u = y + 19 to i, which gives i = y + 65.\n4. Substitute y = c + 13 to i, which gives i = c + 78.\n5. Substitute c = l + 7 to i, which gives i = l + 85.\n6. Substitute l = 7 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 13505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 7; k = u + 20; a = w + 2; y = c + 13; u = y + 19; c = l + 7; w = r + 7; i = n + 12; p = j + 20; j = o + 19; o = l + 14; r = p + 20; n = k + 14. If l = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 18", "b": "g + 4", "m": "b + 13", "r": "m + 16", "k": "r + 17", "i": "k + 12", "q": "w + 4", "z": "q + 9", "v": "z + 20", "f": "v + 18", "u": "f + 18", "o": "u + 10", "w": 16}, "premises": {"w": 16}, "target": "i"}, "answer": {"steps": [["k", "r + 17", "r + 29"], ["r", "m + 16", "m + 45"], ["m", "b + 13", "b + 58"], ["b", "g + 4", "g + 62"], ["g", "w + 18", "w + 80"], ["w", 16, "96"]], "target_var_name": "i", "target_value": 96, "value_dict": {"w": 16}, "is_reverse": true}} | 13,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 4; i = k + 12; k = r + 17; v = z + 20; f = v + 18; q = w + 4; u = f + 18; w = 16; r = m + 16; g = w + 18; z = q + 9; m = b + 13; o = u + 10. Given that w = 16, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 17 to i, which gives i = r + 29.\n2. Substitute r = m + 16 to i, which gives i = m + 45.\n3. Substitute m = b + 13 to i, which gives i = b + 58.\n4. Substitute b = g + 4 to i, which gives i = g + 62.\n5. Substitute g = w + 18 to i, which gives i = w + 80.\n6. Substitute w = 16 to i, which gives i = 96.\n\nThus, the final answer is i = \\boxed{96}.",
"index": 13506,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 4; i = k + 12; k = r + 17; v = z + 20; f = v + 18; q = w + 4; u = f + 18; w = 16; r = m + 16; g = w + 18; z = q + 9; m = b + 13; o = u + 10. Given that w = 16, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 4", "m": "h + 15", "b": "m + 13", "w": "b + 4", "g": "w + 14", "j": "g + 19", "p": "v + 16", "q": "p + 1", "c": "q + 10", "k": "c + 10", "y": "k + 14", "z": "y + 4", "v": 7}, "premises": {"v": 7}, "target": "j"}, "answer": {"steps": [["g", "w + 14", "w + 33"], ["w", "b + 4", "b + 37"], ["b", "m + 13", "m + 50"], ["m", "h + 15", "h + 65"], ["h", "v + 4", "v + 69"], ["v", 7, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"v": 7}, "is_reverse": true}} | 13,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 14; p = v + 16; y = k + 14; b = m + 13; w = b + 4; k = c + 10; z = y + 4; h = v + 4; q = p + 1; m = h + 15; c = q + 10; v = 7; j = g + 19. If v = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 14 to j, which gives j = w + 33.\n2. Substitute w = b + 4 to j, which gives j = b + 37.\n3. Substitute b = m + 13 to j, which gives j = m + 50.\n4. Substitute m = h + 15 to j, which gives j = h + 65.\n5. Substitute h = v + 4 to j, which gives j = v + 69.\n6. Substitute v = 7 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 13507,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 14; p = v + 16; y = k + 14; b = m + 13; w = b + 4; k = c + 10; z = y + 4; h = v + 4; q = p + 1; m = h + 15; c = q + 10; v = 7; j = g + 19. If v = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 4", "x": "n + 7", "v": "x + 17", "q": "v + 20", "c": "q + 10", "h": "c + 8", "j": "t + 10", "l": "j + 4", "p": "l + 9", "e": "p + 8", "d": "e + 10", "r": "d + 12", "t": 13}, "premises": {"t": 13}, "target": "h"}, "answer": {"steps": [["c", "q + 10", "q + 18"], ["q", "v + 20", "v + 38"], ["v", "x + 17", "x + 55"], ["x", "n + 7", "n + 62"], ["n", "t + 4", "t + 66"], ["t", 13, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"t": 13}, "is_reverse": true}} | 13,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 20; t = 13; l = j + 4; h = c + 8; e = p + 8; n = t + 4; c = q + 10; d = e + 10; p = l + 9; v = x + 17; r = d + 12; j = t + 10; x = n + 7. If t = 13, what is the resulting value of h?",
"role": "user... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 10 to h, which gives h = q + 18.\n2. Substitute q = v + 20 to h, which gives h = v + 38.\n3. Substitute v = x + 17 to h, which gives h = x + 55.\n4. Substitute x = n + 7 to h, which gives h = n + 62.\n5. Substitute n = t + 4 to h, which gives h = t + 66.\n6. Substitute t = 13 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 13508,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = v + 20; t = 13; l = j + 4; h = c + 8; e = p + 8; n = t + 4; c = q + 10; d = e + 10; p = l + 9; v = x + 17; r = d + 12; j = t + 10; x = n + 7. If t = 13, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 17", "m": "h + 11", "i": "m + 1", "o": "i + 8", "w": "o + 1", "y": "w + 14", "l": "g + 12", "q": "l + 11", "n": "q + 12", "j": "n + 13", "f": "j + 17", "t": "f + 15", "g": 20}, "premises": {"g": 20}, "target": "y"}, "answer": {"steps": [["w", "o + 1", "o + 15"], ["o", "i + 8", "i + 23"], ["i", "m + 1", "m + 24"], ["m", "h + 11", "h + 35"], ["h", "g + 17", "g + 52"], ["g", 20, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"g": 20}, "is_reverse": true}} | 13,509 | 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 + 17; m = h + 11; o = i + 8; i = m + 1; j = n + 13; y = w + 14; n = q + 12; t = f + 15; w = o + 1; g = 20; q = l + 11; l = g + 12; h = g + 17. If g = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 1 to y, which gives y = o + 15.\n2. Substitute o = i + 8 to y, which gives y = i + 23.\n3. Substitute i = m + 1 to y, which gives y = m + 24.\n4. Substitute m = h + 11 to y, which gives y = h + 35.\n5. Substitute h = g + 17 to y, which gives y = g + 52.\n6. Substitute g = 20 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 13509,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 17; m = h + 11; o = i + 8; i = m + 1; j = n + 13; y = w + 14; n = q + 12; t = f + 15; w = o + 1; g = 20; q = l + 11; l = g + 12; h = g + 17. If g = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 8", "u": "w + 3", "l": "u + 1", "t": "l + 14", "g": "t + 1", "o": "g + 18", "i": "e + 19", "v": "i + 16", "r": "v + 3", "a": "r + 19", "b": "a + 12", "p": "b + 19", "e": 17}, "premises": {"e": 17}, "target": "o"}, "answer": {"steps": [["g", "t + 1", "t + 19"], ["t", "l + 14", "l + 33"], ["l", "u + 1", "u + 34"], ["u", "w + 3", "w + 37"], ["w", "e + 8", "e + 45"], ["e", 17, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"e": 17}, "is_reverse": true}} | 13,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 14; r = v + 3; g = t + 1; l = u + 1; w = e + 8; b = a + 12; a = r + 19; v = i + 16; u = w + 3; p = b + 19; e = 17; o = g + 18; i = e + 19. If e = 17, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 1 to o, which gives o = t + 19.\n2. Substitute t = l + 14 to o, which gives o = l + 33.\n3. Substitute l = u + 1 to o, which gives o = u + 34.\n4. Substitute u = w + 3 to o, which gives o = w + 37.\n5. Substitute w = e + 8 to o, which gives o = e + 45.\n6. Substitute e = 17 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 13510,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 14; r = v + 3; g = t + 1; l = u + 1; w = e + 8; b = a + 12; a = r + 19; v = i + 16; u = w + 3; p = b + 19; e = 17; o = g + 18; i = e + 19. If e = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 11", "h": "f + 5", "y": "h + 18", "v": "y + 9", "j": "v + 4", "x": "j + 18", "b": "m + 4", "t": "b + 16", "n": "t + 7", "z": "n + 10", "p": "z + 13", "e": "p + 7", "m": 14}, "premises": {"m": 14}, "target": "x"}, "answer": {"steps": [["j", "v + 4", "v + 22"], ["v", "y + 9", "y + 31"], ["y", "h + 18", "h + 49"], ["h", "f + 5", "f + 54"], ["f", "m + 11", "m + 65"], ["m", 14, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"m": 14}, "is_reverse": true}} | 13,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 18; v = y + 9; e = p + 7; y = h + 18; f = m + 11; t = b + 16; j = v + 4; m = 14; z = n + 10; n = t + 7; p = z + 13; h = f + 5; b = m + 4. If m = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 4 to x, which gives x = v + 22.\n2. Substitute v = y + 9 to x, which gives x = y + 31.\n3. Substitute y = h + 18 to x, which gives x = h + 49.\n4. Substitute h = f + 5 to x, which gives x = f + 54.\n5. Substitute f = m + 11 to x, which gives x = m + 65.\n6. Substitute m = 14 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 13511,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 18; v = y + 9; e = p + 7; y = h + 18; f = m + 11; t = b + 16; j = v + 4; m = 14; z = n + 10; n = t + 7; p = z + 13; h = f + 5; b = m + 4. If m = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 6", "j": "b + 20", "z": "j + 11", "v": "z + 17", "r": "v + 1", "o": "r + 10", "y": "e + 5", "s": "y + 5", "x": "s + 18", "n": "x + 12", "a": "n + 4", "w": "a + 7", "e": 14}, "premises": {"e": 14}, "target": "o"}, "answer": {"steps": [["r", "v + 1", "v + 11"], ["v", "z + 17", "z + 28"], ["z", "j + 11", "j + 39"], ["j", "b + 20", "b + 59"], ["b", "e + 6", "e + 65"], ["e", 14, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"e": 14}, "is_reverse": true}} | 13,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = e + 5; z = j + 11; j = b + 20; n = x + 12; v = z + 17; a = n + 4; w = a + 7; b = e + 6; e = 14; x = s + 18; r = v + 1; s = y + 5; o = r + 10. If e = 14, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to o, which gives o = v + 11.\n2. Substitute v = z + 17 to o, which gives o = z + 28.\n3. Substitute z = j + 11 to o, which gives o = j + 39.\n4. Substitute j = b + 20 to o, which gives o = b + 59.\n5. Substitute b = e + 6 to o, which gives o = e + 65.\n6. Substitute e = 14 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 13512,
"question": "Consider a system of variables where each variable is defined as follows: y = e + 5; z = j + 11; j = b + 20; n = x + 12; v = z + 17; a = n + 4; w = a + 7; b = e + 6; e = 14; x = s + 18; r = v + 1; s = y + 5; o = r + 10. If e = 14, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 2", "s": "w + 9", "t": "s + 13", "o": "t + 6", "a": "o + 12", "y": "a + 14", "g": "h + 7", "k": "g + 3", "j": "k + 15", "d": "j + 16", "m": "d + 10", "x": "m + 14", "h": 17}, "premises": {"h": 17}, "target": "y"}, "answer": {"steps": [["a", "o + 12", "o + 26"], ["o", "t + 6", "t + 32"], ["t", "s + 13", "s + 45"], ["s", "w + 9", "w + 54"], ["w", "h + 2", "h + 56"], ["h", 17, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"h": 17}, "is_reverse": true}} | 13,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 2; y = a + 14; t = s + 13; k = g + 3; h = 17; o = t + 6; m = d + 10; d = j + 16; x = m + 14; g = h + 7; j = k + 15; a = o + 12; s = w + 9. If h = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 12 to y, which gives y = o + 26.\n2. Substitute o = t + 6 to y, which gives y = t + 32.\n3. Substitute t = s + 13 to y, which gives y = s + 45.\n4. Substitute s = w + 9 to y, which gives y = w + 54.\n5. Substitute w = h + 2 to y, which gives y = h + 56.\n6. Substitute h = 17 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 13513,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 2; y = a + 14; t = s + 13; k = g + 3; h = 17; o = t + 6; m = d + 10; d = j + 16; x = m + 14; g = h + 7; j = k + 15; a = o + 12; s = w + 9. If h = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 4", "b": "k + 10", "j": "b + 9", "f": "j + 6", "q": "f + 8", "y": "q + 10", "v": "l + 13", "z": "v + 17", "t": "z + 6", "c": "t + 12", "p": "c + 17", "w": "p + 16", "l": 20}, "premises": {"l": 20}, "target": "y"}, "answer": {"steps": [["q", "f + 8", "f + 18"], ["f", "j + 6", "j + 24"], ["j", "b + 9", "b + 33"], ["b", "k + 10", "k + 43"], ["k", "l + 4", "l + 47"], ["l", 20, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"l": 20}, "is_reverse": true}} | 13,514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 20; w = p + 16; j = b + 9; f = j + 6; q = f + 8; z = v + 17; y = q + 10; p = c + 17; c = t + 12; v = l + 13; t = z + 6; b = k + 10; k = l + 4. Given that l = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 8 to y, which gives y = f + 18.\n2. Substitute f = j + 6 to y, which gives y = j + 24.\n3. Substitute j = b + 9 to y, which gives y = b + 33.\n4. Substitute b = k + 10 to y, which gives y = k + 43.\n5. Substitute k = l + 4 to y, which gives y = l + 47.\n6. Substitute l = 20 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 13514,
"question": "Suppose a collection of variables is related by the following definitions: l = 20; w = p + 16; j = b + 9; f = j + 6; q = f + 8; z = v + 17; y = q + 10; p = c + 17; c = t + 12; v = l + 13; t = z + 6; b = k + 10; k = l + 4. Given that l = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 11", "h": "g + 12", "p": "h + 20", "m": "p + 20", "r": "m + 20", "w": "r + 4", "b": "e + 15", "k": "b + 16", "s": "k + 11", "x": "s + 20", "l": "x + 14", "d": "l + 4", "e": 12}, "premises": {"e": 12}, "target": "w"}, "answer": {"steps": [["r", "m + 20", "m + 24"], ["m", "p + 20", "p + 44"], ["p", "h + 20", "h + 64"], ["h", "g + 12", "g + 76"], ["g", "e + 11", "e + 87"], ["e", 12, "99"]], "target_var_name": "w", "target_value": 99, "value_dict": {"e": 12}, "is_reverse": true}} | 13,515 | 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 = b + 16; x = s + 20; e = 12; p = h + 20; s = k + 11; l = x + 14; r = m + 20; h = g + 12; m = p + 20; g = e + 11; b = e + 15; d = l + 4; w = r + 4. If e = 12, what is the resulting value of w?",
"role": "... | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 20 to w, which gives w = m + 24.\n2. Substitute m = p + 20 to w, which gives w = p + 44.\n3. Substitute p = h + 20 to w, which gives w = h + 64.\n4. Substitute h = g + 12 to w, which gives w = g + 76.\n5. Substitute g = e + 11 to w, which gives w = e + 87.\n6. Substitute e = 12 to w, which gives w = 99.\n\nThus, the final answer is w = \\boxed{99}.",
"index": 13515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 16; x = s + 20; e = 12; p = h + 20; s = k + 11; l = x + 14; r = m + 20; h = g + 12; m = p + 20; g = e + 11; b = e + 15; d = l + 4; w = r + 4. If e = 12, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 2", "k": "o + 19", "h": "k + 4", "z": "h + 15", "m": "z + 5", "t": "m + 20", "s": "l + 16", "f": "s + 7", "x": "f + 12", "j": "x + 19", "a": "j + 6", "w": "a + 7", "l": 10}, "premises": {"l": 10}, "target": "t"}, "answer": {"steps": [["m", "z + 5", "z + 25"], ["z", "h + 15", "h + 40"], ["h", "k + 4", "k + 44"], ["k", "o + 19", "o + 63"], ["o", "l + 2", "l + 65"], ["l", 10, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"l": 10}, "is_reverse": true}} | 13,516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 7; t = m + 20; k = o + 19; h = k + 4; x = f + 12; a = j + 6; s = l + 16; o = l + 2; j = x + 19; z = h + 15; l = 10; w = a + 7; m = z + 5. If l = 10, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 5 to t, which gives t = z + 25.\n2. Substitute z = h + 15 to t, which gives t = h + 40.\n3. Substitute h = k + 4 to t, which gives t = k + 44.\n4. Substitute k = o + 19 to t, which gives t = o + 63.\n5. Substitute o = l + 2 to t, which gives t = l + 65.\n6. Substitute l = 10 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 13516,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 7; t = m + 20; k = o + 19; h = k + 4; x = f + 12; a = j + 6; s = l + 16; o = l + 2; j = x + 19; z = h + 15; l = 10; w = a + 7; m = z + 5. If l = 10, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 2", "r": "a + 11", "i": "r + 9", "f": "i + 18", "z": "f + 11", "v": "z + 15", "l": "y + 16", "p": "l + 14", "m": "p + 3", "h": "m + 20", "b": "h + 13", "e": "b + 1", "y": 2}, "premises": {"y": 2}, "target": "v"}, "answer": {"steps": [["z", "f + 11", "f + 26"], ["f", "i + 18", "i + 44"], ["i", "r + 9", "r + 53"], ["r", "a + 11", "a + 64"], ["a", "y + 2", "y + 66"], ["y", 2, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"y": 2}, "is_reverse": true}} | 13,517 | 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 = m + 20; y = 2; i = r + 9; b = h + 13; r = a + 11; a = y + 2; z = f + 11; f = i + 18; v = z + 15; e = b + 1; m = p + 3; p = l + 14; l = y + 16. If y = 2, what is the resulting value of v?",
"role": "user... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 11 to v, which gives v = f + 26.\n2. Substitute f = i + 18 to v, which gives v = i + 44.\n3. Substitute i = r + 9 to v, which gives v = r + 53.\n4. Substitute r = a + 11 to v, which gives v = a + 64.\n5. Substitute a = y + 2 to v, which gives v = y + 66.\n6. Substitute y = 2 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 13517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 20; y = 2; i = r + 9; b = h + 13; r = a + 11; a = y + 2; z = f + 11; f = i + 18; v = z + 15; e = b + 1; m = p + 3; p = l + 14; l = y + 16. If y = 2, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 3", "q": "f + 20", "y": "q + 16", "n": "y + 8", "t": "n + 17", "k": "t + 4", "x": "w + 9", "d": "x + 6", "a": "d + 17", "i": "a + 13", "j": "i + 4", "v": "j + 11", "w": 19}, "premises": {"w": 19}, "target": "k"}, "answer": {"steps": [["t", "n + 17", "n + 21"], ["n", "y + 8", "y + 29"], ["y", "q + 16", "q + 45"], ["q", "f + 20", "f + 65"], ["f", "w + 3", "w + 68"], ["w", 19, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"w": 19}, "is_reverse": true}} | 13,518 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 6; k = t + 4; i = a + 13; t = n + 17; a = d + 17; y = q + 16; x = w + 9; n = y + 8; v = j + 11; w = 19; q = f + 20; j = i + 4; f = w + 3. Given that w = 19, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 17 to k, which gives k = n + 21.\n2. Substitute n = y + 8 to k, which gives k = y + 29.\n3. Substitute y = q + 16 to k, which gives k = q + 45.\n4. Substitute q = f + 20 to k, which gives k = f + 65.\n5. Substitute f = w + 3 to k, which gives k = w + 68.\n6. Substitute w = 19 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 13518,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 6; k = t + 4; i = a + 13; t = n + 17; a = d + 17; y = q + 16; x = w + 9; n = y + 8; v = j + 11; w = 19; q = f + 20; j = i + 4; f = w + 3. Given that w = 19, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 17", "g": "p + 14", "s": "g + 5", "h": "s + 13", "y": "h + 11", "k": "y + 16", "o": "i + 10", "a": "o + 7", "e": "a + 14", "w": "e + 17", "l": "w + 8", "t": "l + 5", "i": 5}, "premises": {"i": 5}, "target": "k"}, "answer": {"steps": [["y", "h + 11", "h + 27"], ["h", "s + 13", "s + 40"], ["s", "g + 5", "g + 45"], ["g", "p + 14", "p + 59"], ["p", "i + 17", "i + 76"], ["i", 5, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"i": 5}, "is_reverse": true}} | 13,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 7; t = l + 5; h = s + 13; p = i + 17; g = p + 14; l = w + 8; k = y + 16; i = 5; w = e + 17; o = i + 10; s = g + 5; y = h + 11; e = a + 14. Given that i = 5, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 11 to k, which gives k = h + 27.\n2. Substitute h = s + 13 to k, which gives k = s + 40.\n3. Substitute s = g + 5 to k, which gives k = g + 45.\n4. Substitute g = p + 14 to k, which gives k = p + 59.\n5. Substitute p = i + 17 to k, which gives k = i + 76.\n6. Substitute i = 5 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 13519,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 7; t = l + 5; h = s + 13; p = i + 17; g = p + 14; l = w + 8; k = y + 16; i = 5; w = e + 17; o = i + 10; s = g + 5; y = h + 11; e = a + 14. Given that i = 5, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 7", "t": "y + 1", "k": "t + 10", "q": "k + 16", "m": "q + 15", "e": "m + 7", "l": "n + 20", "x": "l + 1", "j": "x + 12", "s": "j + 11", "z": "s + 12", "c": "z + 2", "n": 10}, "premises": {"n": 10}, "target": "e"}, "answer": {"steps": [["m", "q + 15", "q + 22"], ["q", "k + 16", "k + 38"], ["k", "t + 10", "t + 48"], ["t", "y + 1", "y + 49"], ["y", "n + 7", "n + 56"], ["n", 10, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"n": 10}, "is_reverse": true}} | 13,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 7; l = n + 20; j = x + 12; m = q + 15; s = j + 11; t = y + 1; z = s + 12; k = t + 10; c = z + 2; n = 10; q = k + 16; x = l + 1; e = m + 7. Given that n = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 15 to e, which gives e = q + 22.\n2. Substitute q = k + 16 to e, which gives e = k + 38.\n3. Substitute k = t + 10 to e, which gives e = t + 48.\n4. Substitute t = y + 1 to e, which gives e = y + 49.\n5. Substitute y = n + 7 to e, which gives e = n + 56.\n6. Substitute n = 10 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 13520,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 7; l = n + 20; j = x + 12; m = q + 15; s = j + 11; t = y + 1; z = s + 12; k = t + 10; c = z + 2; n = 10; q = k + 16; x = l + 1; e = m + 7. Given that n = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 7", "s": "k + 15", "g": "s + 15", "o": "g + 20", "z": "o + 11", "e": "z + 6", "x": "i + 4", "t": "x + 10", "w": "t + 17", "m": "w + 5", "j": "m + 3", "a": "j + 18", "i": 20}, "premises": {"i": 20}, "target": "e"}, "answer": {"steps": [["z", "o + 11", "o + 17"], ["o", "g + 20", "g + 37"], ["g", "s + 15", "s + 52"], ["s", "k + 15", "k + 67"], ["k", "i + 7", "i + 74"], ["i", 20, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"i": 20}, "is_reverse": true}} | 13,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 6; t = x + 10; z = o + 11; g = s + 15; i = 20; a = j + 18; s = k + 15; x = i + 4; w = t + 17; j = m + 3; k = i + 7; o = g + 20; m = w + 5. Given that i = 20, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 11 to e, which gives e = o + 17.\n2. Substitute o = g + 20 to e, which gives e = g + 37.\n3. Substitute g = s + 15 to e, which gives e = s + 52.\n4. Substitute s = k + 15 to e, which gives e = k + 67.\n5. Substitute k = i + 7 to e, which gives e = i + 74.\n6. Substitute i = 20 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 13521,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 6; t = x + 10; z = o + 11; g = s + 15; i = 20; a = j + 18; s = k + 15; x = i + 4; w = t + 17; j = m + 3; k = i + 7; o = g + 20; m = w + 5. Given that i = 20, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "b + 14", "e": "s + 10", "w": "e + 20", "z": "w + 9", "i": "z + 18", "g": "i + 8", "x": "b + 12", "j": "x + 14", "f": "j + 2", "p": "f + 1", "l": "p + 2", "v": "l + 9", "b": 8}, "premises": {"b": 8}, "target": "g"}, "answer": {"steps": [["i", "z + 18", "z + 26"], ["z", "w + 9", "w + 35"], ["w", "e + 20", "e + 55"], ["e", "s + 10", "s + 65"], ["s", "b + 14", "b + 79"], ["b", 8, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"b": 8}, "is_reverse": true}} | 13,522 | 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 = z + 18; g = i + 8; p = f + 1; z = w + 9; f = j + 2; b = 8; v = l + 9; e = s + 10; s = b + 14; l = p + 2; j = x + 14; x = b + 12; w = e + 20. If b = 8, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 18 to g, which gives g = z + 26.\n2. Substitute z = w + 9 to g, which gives g = w + 35.\n3. Substitute w = e + 20 to g, which gives g = e + 55.\n4. Substitute e = s + 10 to g, which gives g = s + 65.\n5. Substitute s = b + 14 to g, which gives g = b + 79.\n6. Substitute b = 8 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 13522,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 18; g = i + 8; p = f + 1; z = w + 9; f = j + 2; b = 8; v = l + 9; e = s + 10; s = b + 14; l = p + 2; j = x + 14; x = b + 12; w = e + 20. If b = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 18", "g": "v + 1", "u": "g + 12", "o": "u + 10", "n": "o + 10", "r": "n + 13", "b": "m + 3", "x": "b + 16", "s": "x + 10", "d": "s + 4", "z": "d + 15", "k": "z + 12", "m": 11}, "premises": {"m": 11}, "target": "r"}, "answer": {"steps": [["n", "o + 10", "o + 23"], ["o", "u + 10", "u + 33"], ["u", "g + 12", "g + 45"], ["g", "v + 1", "v + 46"], ["v", "m + 18", "m + 64"], ["m", 11, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"m": 11}, "is_reverse": true}} | 13,523 | 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 = g + 12; r = n + 13; o = u + 10; z = d + 15; k = z + 12; n = o + 10; s = x + 10; d = s + 4; v = m + 18; b = m + 3; g = v + 1; m = 11; x = b + 16. If m = 11, what is the resulting value of r?",
"role": "u... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 10 to r, which gives r = o + 23.\n2. Substitute o = u + 10 to r, which gives r = u + 33.\n3. Substitute u = g + 12 to r, which gives r = g + 45.\n4. Substitute g = v + 1 to r, which gives r = v + 46.\n5. Substitute v = m + 18 to r, which gives r = m + 64.\n6. Substitute m = 11 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 13523,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = g + 12; r = n + 13; o = u + 10; z = d + 15; k = z + 12; n = o + 10; s = x + 10; d = s + 4; v = m + 18; b = m + 3; g = v + 1; m = 11; x = b + 16. If m = 11, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 13", "d": "l + 2", "u": "d + 5", "x": "u + 9", "y": "x + 17", "k": "y + 16", "c": "e + 13", "s": "c + 6", "r": "s + 6", "v": "r + 4", "b": "v + 5", "f": "b + 9", "e": 16}, "premises": {"e": 16}, "target": "k"}, "answer": {"steps": [["y", "x + 17", "x + 33"], ["x", "u + 9", "u + 42"], ["u", "d + 5", "d + 47"], ["d", "l + 2", "l + 49"], ["l", "e + 13", "e + 62"], ["e", 16, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"e": 16}, "is_reverse": true}} | 13,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 5; b = v + 5; y = x + 17; d = l + 2; l = e + 13; x = u + 9; s = c + 6; f = b + 9; v = r + 4; k = y + 16; e = 16; r = s + 6; c = e + 13. Given that e = 16, 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 y = x + 17 to k, which gives k = x + 33.\n2. Substitute x = u + 9 to k, which gives k = u + 42.\n3. Substitute u = d + 5 to k, which gives k = d + 47.\n4. Substitute d = l + 2 to k, which gives k = l + 49.\n5. Substitute l = e + 13 to k, which gives k = e + 62.\n6. Substitute e = 16 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 13524,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 5; b = v + 5; y = x + 17; d = l + 2; l = e + 13; x = u + 9; s = c + 6; f = b + 9; v = r + 4; k = y + 16; e = 16; r = s + 6; c = e + 13. Given that e = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 15", "q": "i + 12", "r": "q + 9", "l": "r + 16", "j": "l + 4", "t": "j + 12", "c": "m + 1", "p": "c + 6", "k": "p + 18", "g": "k + 17", "h": "g + 6", "b": "h + 13", "m": 2}, "premises": {"m": 2}, "target": "t"}, "answer": {"steps": [["j", "l + 4", "l + 16"], ["l", "r + 16", "r + 32"], ["r", "q + 9", "q + 41"], ["q", "i + 12", "i + 53"], ["i", "m + 15", "m + 68"], ["m", 2, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"m": 2}, "is_reverse": true}} | 13,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 16; j = l + 4; i = m + 15; b = h + 13; r = q + 9; c = m + 1; q = i + 12; p = c + 6; t = j + 12; m = 2; k = p + 18; h = g + 6; g = k + 17. Given that m = 2, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 4 to t, which gives t = l + 16.\n2. Substitute l = r + 16 to t, which gives t = r + 32.\n3. Substitute r = q + 9 to t, which gives t = q + 41.\n4. Substitute q = i + 12 to t, which gives t = i + 53.\n5. Substitute i = m + 15 to t, which gives t = m + 68.\n6. Substitute m = 2 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 13525,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 16; j = l + 4; i = m + 15; b = h + 13; r = q + 9; c = m + 1; q = i + 12; p = c + 6; t = j + 12; m = 2; k = p + 18; h = g + 6; g = k + 17. Given that m = 2, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 17", "l": "v + 15", "t": "l + 9", "m": "t + 10", "f": "m + 2", "g": "f + 13", "s": "n + 19", "o": "s + 11", "a": "o + 3", "b": "a + 14", "c": "b + 6", "y": "c + 8", "n": 14}, "premises": {"n": 14}, "target": "g"}, "answer": {"steps": [["f", "m + 2", "m + 15"], ["m", "t + 10", "t + 25"], ["t", "l + 9", "l + 34"], ["l", "v + 15", "v + 49"], ["v", "n + 17", "n + 66"], ["n", 14, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"n": 14}, "is_reverse": true}} | 13,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 2; b = a + 14; t = l + 9; m = t + 10; o = s + 11; c = b + 6; g = f + 13; a = o + 3; v = n + 17; s = n + 19; l = v + 15; y = c + 8; n = 14. If n = 14, what is the resulting value of g?",
"role": "use... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 2 to g, which gives g = m + 15.\n2. Substitute m = t + 10 to g, which gives g = t + 25.\n3. Substitute t = l + 9 to g, which gives g = l + 34.\n4. Substitute l = v + 15 to g, which gives g = v + 49.\n5. Substitute v = n + 17 to g, which gives g = n + 66.\n6. Substitute n = 14 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 13526,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 2; b = a + 14; t = l + 9; m = t + 10; o = s + 11; c = b + 6; g = f + 13; a = o + 3; v = n + 17; s = n + 19; l = v + 15; y = c + 8; n = 14. If n = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 15", "h": "q + 15", "w": "h + 14", "x": "w + 5", "m": "x + 13", "s": "m + 7", "v": "n + 19", "i": "v + 2", "r": "i + 13", "t": "r + 6", "c": "t + 17", "y": "c + 17", "n": 11}, "premises": {"n": 11}, "target": "s"}, "answer": {"steps": [["m", "x + 13", "x + 20"], ["x", "w + 5", "w + 25"], ["w", "h + 14", "h + 39"], ["h", "q + 15", "q + 54"], ["q", "n + 15", "n + 69"], ["n", 11, "80"]], "target_var_name": "s", "target_value": 80, "value_dict": {"n": 11}, "is_reverse": true}} | 13,527 | 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 = c + 17; w = h + 14; q = n + 15; m = x + 13; v = n + 19; i = v + 2; x = w + 5; h = q + 15; n = 11; t = r + 6; s = m + 7; r = i + 13; c = t + 17. If n = 11, what is the resulting value of s?",
"role": "us... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 13 to s, which gives s = x + 20.\n2. Substitute x = w + 5 to s, which gives s = w + 25.\n3. Substitute w = h + 14 to s, which gives s = h + 39.\n4. Substitute h = q + 15 to s, which gives s = q + 54.\n5. Substitute q = n + 15 to s, which gives s = n + 69.\n6. Substitute n = 11 to s, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 13527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 17; w = h + 14; q = n + 15; m = x + 13; v = n + 19; i = v + 2; x = w + 5; h = q + 15; n = 11; t = r + 6; s = m + 7; r = i + 13; c = t + 17. If n = 11, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 12", "u": "r + 10", "c": "u + 15", "l": "c + 4", "d": "l + 14", "f": "d + 3", "x": "y + 19", "h": "x + 4", "b": "h + 10", "k": "b + 7", "a": "k + 19", "v": "a + 7", "y": 18}, "premises": {"y": 18}, "target": "f"}, "answer": {"steps": [["d", "l + 14", "l + 17"], ["l", "c + 4", "c + 21"], ["c", "u + 15", "u + 36"], ["u", "r + 10", "r + 46"], ["r", "y + 12", "y + 58"], ["y", 18, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"y": 18}, "is_reverse": true}} | 13,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 19; y = 18; k = b + 7; a = k + 19; r = y + 12; h = x + 4; u = r + 10; f = d + 3; b = h + 10; c = u + 15; d = l + 14; l = c + 4; v = a + 7. Given that y = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 14 to f, which gives f = l + 17.\n2. Substitute l = c + 4 to f, which gives f = c + 21.\n3. Substitute c = u + 15 to f, which gives f = u + 36.\n4. Substitute u = r + 10 to f, which gives f = r + 46.\n5. Substitute r = y + 12 to f, which gives f = y + 58.\n6. Substitute y = 18 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 13528,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 19; y = 18; k = b + 7; a = k + 19; r = y + 12; h = x + 4; u = r + 10; f = d + 3; b = h + 10; c = u + 15; d = l + 14; l = c + 4; v = a + 7. Given that y = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "s + 18", "g": "j + 6", "t": "g + 6", "q": "t + 14", "e": "q + 2", "o": "e + 5", "a": "s + 19", "b": "a + 5", "p": "b + 9", "r": "p + 13", "d": "r + 14", "c": "d + 14", "s": 13}, "premises": {"s": 13}, "target": "o"}, "answer": {"steps": [["e", "q + 2", "q + 7"], ["q", "t + 14", "t + 21"], ["t", "g + 6", "g + 27"], ["g", "j + 6", "j + 33"], ["j", "s + 18", "s + 51"], ["s", 13, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"s": 13}, "is_reverse": true}} | 13,529 | 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 = b + 9; t = g + 6; r = p + 13; d = r + 14; j = s + 18; e = q + 2; q = t + 14; c = d + 14; a = s + 19; g = j + 6; o = e + 5; s = 13; b = a + 5. If s = 13, what is the resulting value of o?",
"role": "user... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 2 to o, which gives o = q + 7.\n2. Substitute q = t + 14 to o, which gives o = t + 21.\n3. Substitute t = g + 6 to o, which gives o = g + 27.\n4. Substitute g = j + 6 to o, which gives o = j + 33.\n5. Substitute j = s + 18 to o, which gives o = s + 51.\n6. Substitute s = 13 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 13529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = b + 9; t = g + 6; r = p + 13; d = r + 14; j = s + 18; e = q + 2; q = t + 14; c = d + 14; a = s + 19; g = j + 6; o = e + 5; s = 13; b = a + 5. If s = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 13", "r": "t + 3", "o": "r + 9", "b": "o + 17", "w": "b + 15", "i": "w + 19", "v": "p + 4", "j": "v + 12", "u": "j + 15", "h": "u + 15", "e": "h + 2", "z": "e + 18", "p": 5}, "premises": {"p": 5}, "target": "i"}, "answer": {"steps": [["w", "b + 15", "b + 34"], ["b", "o + 17", "o + 51"], ["o", "r + 9", "r + 60"], ["r", "t + 3", "t + 63"], ["t", "p + 13", "p + 76"], ["p", 5, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"p": 5}, "is_reverse": true}} | 13,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 3; z = e + 18; p = 5; b = o + 17; h = u + 15; e = h + 2; i = w + 19; t = p + 13; o = r + 9; j = v + 12; v = p + 4; w = b + 15; u = j + 15. Given that p = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 15 to i, which gives i = b + 34.\n2. Substitute b = o + 17 to i, which gives i = o + 51.\n3. Substitute o = r + 9 to i, which gives i = r + 60.\n4. Substitute r = t + 3 to i, which gives i = t + 63.\n5. Substitute t = p + 13 to i, which gives i = p + 76.\n6. Substitute p = 5 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 13530,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 3; z = e + 18; p = 5; b = o + 17; h = u + 15; e = h + 2; i = w + 19; t = p + 13; o = r + 9; j = v + 12; v = p + 4; w = b + 15; u = j + 15. Given that p = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 15", "a": "g + 16", "e": "a + 15", "h": "e + 4", "c": "h + 9", "r": "c + 2", "v": "b + 14", "z": "v + 3", "u": "z + 18", "f": "u + 14", "k": "f + 6", "t": "k + 18", "b": 19}, "premises": {"b": 19}, "target": "r"}, "answer": {"steps": [["c", "h + 9", "h + 11"], ["h", "e + 4", "e + 15"], ["e", "a + 15", "a + 30"], ["a", "g + 16", "g + 46"], ["g", "b + 15", "b + 61"], ["b", 19, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"b": 19}, "is_reverse": true}} | 13,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 15; k = f + 6; b = 19; a = g + 16; u = z + 18; r = c + 2; z = v + 3; t = k + 18; v = b + 14; c = h + 9; f = u + 14; e = a + 15; h = e + 4. If b = 19, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 9 to r, which gives r = h + 11.\n2. Substitute h = e + 4 to r, which gives r = e + 15.\n3. Substitute e = a + 15 to r, which gives r = a + 30.\n4. Substitute a = g + 16 to r, which gives r = g + 46.\n5. Substitute g = b + 15 to r, which gives r = b + 61.\n6. Substitute b = 19 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 13531,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 15; k = f + 6; b = 19; a = g + 16; u = z + 18; r = c + 2; z = v + 3; t = k + 18; v = b + 14; c = h + 9; f = u + 14; e = a + 15; h = e + 4. If b = 19, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 9", "k": "a + 20", "z": "k + 8", "m": "z + 13", "n": "m + 3", "d": "n + 17", "l": "t + 4", "x": "l + 5", "p": "x + 14", "b": "p + 15", "s": "b + 12", "e": "s + 10", "t": 3}, "premises": {"t": 3}, "target": "d"}, "answer": {"steps": [["n", "m + 3", "m + 20"], ["m", "z + 13", "z + 33"], ["z", "k + 8", "k + 41"], ["k", "a + 20", "a + 61"], ["a", "t + 9", "t + 70"], ["t", 3, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"t": 3}, "is_reverse": true}} | 13,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 20; x = l + 5; s = b + 12; b = p + 15; d = n + 17; m = z + 13; t = 3; e = s + 10; a = t + 9; n = m + 3; z = k + 8; p = x + 14; l = t + 4. If t = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 3 to d, which gives d = m + 20.\n2. Substitute m = z + 13 to d, which gives d = z + 33.\n3. Substitute z = k + 8 to d, which gives d = k + 41.\n4. Substitute k = a + 20 to d, which gives d = a + 61.\n5. Substitute a = t + 9 to d, which gives d = t + 70.\n6. Substitute t = 3 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 13532,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 20; x = l + 5; s = b + 12; b = p + 15; d = n + 17; m = z + 13; t = 3; e = s + 10; a = t + 9; n = m + 3; z = k + 8; p = x + 14; l = t + 4. If t = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 14", "e": "r + 20", "w": "e + 17", "c": "w + 15", "o": "c + 5", "i": "o + 1", "d": "j + 9", "z": "d + 2", "y": "z + 18", "p": "y + 1", "v": "p + 18", "g": "v + 14", "j": 19}, "premises": {"j": 19}, "target": "i"}, "answer": {"steps": [["o", "c + 5", "c + 6"], ["c", "w + 15", "w + 21"], ["w", "e + 17", "e + 38"], ["e", "r + 20", "r + 58"], ["r", "j + 14", "j + 72"], ["j", 19, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"j": 19}, "is_reverse": true}} | 13,533 | 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 = p + 18; p = y + 1; j = 19; c = w + 15; i = o + 1; r = j + 14; o = c + 5; z = d + 2; g = v + 14; y = z + 18; e = r + 20; d = j + 9; w = e + 17. If j = 19, what is the resulting value of i?",
"role": "use... | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 5 to i, which gives i = c + 6.\n2. Substitute c = w + 15 to i, which gives i = w + 21.\n3. Substitute w = e + 17 to i, which gives i = e + 38.\n4. Substitute e = r + 20 to i, which gives i = r + 58.\n5. Substitute r = j + 14 to i, which gives i = j + 72.\n6. Substitute j = 19 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 13533,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 18; p = y + 1; j = 19; c = w + 15; i = o + 1; r = j + 14; o = c + 5; z = d + 2; g = v + 14; y = z + 18; e = r + 20; d = j + 9; w = e + 17. If j = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 8", "y": "x + 13", "e": "y + 1", "f": "e + 2", "n": "f + 9", "k": "n + 3", "w": "b + 13", "m": "w + 20", "s": "m + 18", "i": "s + 3", "r": "i + 20", "o": "r + 3", "b": 13}, "premises": {"b": 13}, "target": "k"}, "answer": {"steps": [["n", "f + 9", "f + 12"], ["f", "e + 2", "e + 14"], ["e", "y + 1", "y + 15"], ["y", "x + 13", "x + 28"], ["x", "b + 8", "b + 36"], ["b", 13, "49"]], "target_var_name": "k", "target_value": 49, "value_dict": {"b": 13}, "is_reverse": true}} | 13,534 | 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 = y + 1; x = b + 8; y = x + 13; n = f + 9; r = i + 20; s = m + 18; k = n + 3; w = b + 13; i = s + 3; f = e + 2; o = r + 3; b = 13; m = w + 20. If b = 13, what is the resulting value of k?",
"role": "user"... | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 9 to k, which gives k = f + 12.\n2. Substitute f = e + 2 to k, which gives k = e + 14.\n3. Substitute e = y + 1 to k, which gives k = y + 15.\n4. Substitute y = x + 13 to k, which gives k = x + 28.\n5. Substitute x = b + 8 to k, which gives k = b + 36.\n6. Substitute b = 13 to k, which gives k = 49.\n\nThus, the final answer is k = \\boxed{49}.",
"index": 13534,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 1; x = b + 8; y = x + 13; n = f + 9; r = i + 20; s = m + 18; k = n + 3; w = b + 13; i = s + 3; f = e + 2; o = r + 3; b = 13; m = w + 20. If b = 13, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 13", "v": "x + 13", "d": "v + 11", "r": "d + 17", "z": "r + 4", "j": "z + 2", "s": "i + 4", "f": "s + 13", "p": "f + 7", "b": "p + 6", "n": "b + 7", "w": "n + 2", "i": 2}, "premises": {"i": 2}, "target": "j"}, "answer": {"steps": [["z", "r + 4", "r + 6"], ["r", "d + 17", "d + 23"], ["d", "v + 11", "v + 34"], ["v", "x + 13", "x + 47"], ["x", "i + 13", "i + 60"], ["i", 2, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"i": 2}, "is_reverse": true}} | 13,535 | 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 = s + 13; x = i + 13; r = d + 17; w = n + 2; n = b + 7; v = x + 13; i = 2; s = i + 4; p = f + 7; z = r + 4; d = v + 11; b = p + 6; j = z + 2. If i = 2, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 4 to j, which gives j = r + 6.\n2. Substitute r = d + 17 to j, which gives j = d + 23.\n3. Substitute d = v + 11 to j, which gives j = v + 34.\n4. Substitute v = x + 13 to j, which gives j = x + 47.\n5. Substitute x = i + 13 to j, which gives j = i + 60.\n6. Substitute i = 2 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 13535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 13; x = i + 13; r = d + 17; w = n + 2; n = b + 7; v = x + 13; i = 2; s = i + 4; p = f + 7; z = r + 4; d = v + 11; b = p + 6; j = z + 2. If i = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 18", "g": "h + 18", "z": "g + 6", "w": "z + 14", "m": "w + 5", "t": "m + 17", "a": "v + 2", "u": "a + 2", "o": "u + 18", "k": "o + 8", "n": "k + 16", "b": "n + 19", "v": 9}, "premises": {"v": 9}, "target": "t"}, "answer": {"steps": [["m", "w + 5", "w + 22"], ["w", "z + 14", "z + 36"], ["z", "g + 6", "g + 42"], ["g", "h + 18", "h + 60"], ["h", "v + 18", "v + 78"], ["v", 9, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"v": 9}, "is_reverse": true}} | 13,536 | 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 = o + 8; m = w + 5; z = g + 6; a = v + 2; n = k + 16; h = v + 18; g = h + 18; w = z + 14; t = m + 17; v = 9; b = n + 19; o = u + 18; u = a + 2. If v = 9, what is the resulting value of t?",
"role": "user"... | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 5 to t, which gives t = w + 22.\n2. Substitute w = z + 14 to t, which gives t = z + 36.\n3. Substitute z = g + 6 to t, which gives t = g + 42.\n4. Substitute g = h + 18 to t, which gives t = h + 60.\n5. Substitute h = v + 18 to t, which gives t = v + 78.\n6. Substitute v = 9 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 13536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 8; m = w + 5; z = g + 6; a = v + 2; n = k + 16; h = v + 18; g = h + 18; w = z + 14; t = m + 17; v = 9; b = n + 19; o = u + 18; u = a + 2. If v = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 15", "f": "o + 16", "a": "f + 5", "c": "a + 17", "y": "c + 13", "s": "y + 10", "u": "l + 7", "w": "u + 11", "h": "w + 20", "d": "h + 18", "r": "d + 9", "v": "r + 4", "l": 19}, "premises": {"l": 19}, "target": "s"}, "answer": {"steps": [["y", "c + 13", "c + 23"], ["c", "a + 17", "a + 40"], ["a", "f + 5", "f + 45"], ["f", "o + 16", "o + 61"], ["o", "l + 15", "l + 76"], ["l", 19, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"l": 19}, "is_reverse": true}} | 13,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 16; l = 19; w = u + 11; c = a + 17; h = w + 20; y = c + 13; u = l + 7; r = d + 9; d = h + 18; o = l + 15; s = y + 10; a = f + 5; v = r + 4. If l = 19, what is the resulting value of s?",
"role": "us... | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 13 to s, which gives s = c + 23.\n2. Substitute c = a + 17 to s, which gives s = a + 40.\n3. Substitute a = f + 5 to s, which gives s = f + 45.\n4. Substitute f = o + 16 to s, which gives s = o + 61.\n5. Substitute o = l + 15 to s, which gives s = l + 76.\n6. Substitute l = 19 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 13537,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 16; l = 19; w = u + 11; c = a + 17; h = w + 20; y = c + 13; u = l + 7; r = d + 9; d = h + 18; o = l + 15; s = y + 10; a = f + 5; v = r + 4. If l = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 16", "i": "k + 17", "y": "i + 14", "p": "y + 4", "t": "p + 18", "c": "t + 5", "u": "h + 11", "n": "u + 20", "j": "n + 4", "m": "j + 8", "g": "m + 17", "w": "g + 4", "h": 15}, "premises": {"h": 15}, "target": "c"}, "answer": {"steps": [["t", "p + 18", "p + 23"], ["p", "y + 4", "y + 27"], ["y", "i + 14", "i + 41"], ["i", "k + 17", "k + 58"], ["k", "h + 16", "h + 74"], ["h", 15, "89"]], "target_var_name": "c", "target_value": 89, "value_dict": {"h": 15}, "is_reverse": true}} | 13,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 18; g = m + 17; m = j + 8; h = 15; k = h + 16; u = h + 11; y = i + 14; p = y + 4; c = t + 5; w = g + 4; i = k + 17; n = u + 20; j = n + 4. If h = 15, determine 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 t = p + 18 to c, which gives c = p + 23.\n2. Substitute p = y + 4 to c, which gives c = y + 27.\n3. Substitute y = i + 14 to c, which gives c = i + 41.\n4. Substitute i = k + 17 to c, which gives c = k + 58.\n5. Substitute k = h + 16 to c, which gives c = h + 74.\n6. Substitute h = 15 to c, which gives c = 89.\n\nThus, the final answer is c = \\boxed{89}.",
"index": 13538,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 18; g = m + 17; m = j + 8; h = 15; k = h + 16; u = h + 11; y = i + 14; p = y + 4; c = t + 5; w = g + 4; i = k + 17; n = u + 20; j = n + 4. If h = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 6", "m": "k + 10", "y": "m + 15", "g": "y + 2", "t": "g + 5", "p": "t + 8", "r": "d + 14", "h": "r + 10", "u": "h + 19", "f": "u + 9", "l": "f + 7", "s": "l + 4", "d": 1}, "premises": {"d": 1}, "target": "p"}, "answer": {"steps": [["t", "g + 5", "g + 13"], ["g", "y + 2", "y + 15"], ["y", "m + 15", "m + 30"], ["m", "k + 10", "k + 40"], ["k", "d + 6", "d + 46"], ["d", 1, "47"]], "target_var_name": "p", "target_value": 47, "value_dict": {"d": 1}, "is_reverse": true}} | 13,539 | 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 = d + 14; h = r + 10; f = u + 9; l = f + 7; t = g + 5; s = l + 4; p = t + 8; d = 1; u = h + 19; k = d + 6; y = m + 15; g = y + 2; m = k + 10. If d = 1, what is the resulting value of p?",
"role": "user"
... | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 5 to p, which gives p = g + 13.\n2. Substitute g = y + 2 to p, which gives p = y + 15.\n3. Substitute y = m + 15 to p, which gives p = m + 30.\n4. Substitute m = k + 10 to p, which gives p = k + 40.\n5. Substitute k = d + 6 to p, which gives p = d + 46.\n6. Substitute d = 1 to p, which gives p = 47.\n\nThus, the final answer is p = \\boxed{47}.",
"index": 13539,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 14; h = r + 10; f = u + 9; l = f + 7; t = g + 5; s = l + 4; p = t + 8; d = 1; u = h + 19; k = d + 6; y = m + 15; g = y + 2; m = k + 10. If d = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 10", "e": "u + 12", "g": "e + 6", "p": "g + 6", "y": "p + 4", "t": "y + 13", "n": "h + 17", "l": "n + 5", "m": "l + 3", "i": "m + 13", "r": "i + 14", "d": "r + 5", "h": 5}, "premises": {"h": 5}, "target": "t"}, "answer": {"steps": [["y", "p + 4", "p + 17"], ["p", "g + 6", "g + 23"], ["g", "e + 6", "e + 29"], ["e", "u + 12", "u + 41"], ["u", "h + 10", "h + 51"], ["h", 5, "56"]], "target_var_name": "t", "target_value": 56, "value_dict": {"h": 5}, "is_reverse": true}} | 13,540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 6; r = i + 14; m = l + 3; h = 5; t = y + 13; n = h + 17; e = u + 12; l = n + 5; i = m + 13; p = g + 6; u = h + 10; d = r + 5; y = p + 4. Given that h = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 4 to t, which gives t = p + 17.\n2. Substitute p = g + 6 to t, which gives t = g + 23.\n3. Substitute g = e + 6 to t, which gives t = e + 29.\n4. Substitute e = u + 12 to t, which gives t = u + 41.\n5. Substitute u = h + 10 to t, which gives t = h + 51.\n6. Substitute h = 5 to t, which gives t = 56.\n\nThus, the final answer is t = \\boxed{56}.",
"index": 13540,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 6; r = i + 14; m = l + 3; h = 5; t = y + 13; n = h + 17; e = u + 12; l = n + 5; i = m + 13; p = g + 6; u = h + 10; d = r + 5; y = p + 4. Given that h = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 17", "c": "x + 9", "y": "c + 16", "r": "y + 11", "k": "r + 19", "p": "k + 16", "e": "w + 20", "b": "e + 7", "q": "b + 20", "o": "q + 14", "l": "o + 16", "v": "l + 14", "w": 17}, "premises": {"w": 17}, "target": "p"}, "answer": {"steps": [["k", "r + 19", "r + 35"], ["r", "y + 11", "y + 46"], ["y", "c + 16", "c + 62"], ["c", "x + 9", "x + 71"], ["x", "w + 17", "w + 88"], ["w", 17, "105"]], "target_var_name": "p", "target_value": 105, "value_dict": {"w": 17}, "is_reverse": true}} | 13,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 9; y = c + 16; r = y + 11; l = o + 16; k = r + 19; p = k + 16; b = e + 7; v = l + 14; x = w + 17; e = w + 20; q = b + 20; o = q + 14; w = 17. Given that w = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 19 to p, which gives p = r + 35.\n2. Substitute r = y + 11 to p, which gives p = y + 46.\n3. Substitute y = c + 16 to p, which gives p = c + 62.\n4. Substitute c = x + 9 to p, which gives p = x + 71.\n5. Substitute x = w + 17 to p, which gives p = w + 88.\n6. Substitute w = 17 to p, which gives p = 105.\n\nThus, the final answer is p = \\boxed{105}.",
"index": 13541,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 9; y = c + 16; r = y + 11; l = o + 16; k = r + 19; p = k + 16; b = e + 7; v = l + 14; x = w + 17; e = w + 20; q = b + 20; o = q + 14; w = 17. Given that w = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 10", "n": "r + 11", "b": "n + 3", "f": "b + 9", "w": "f + 3", "k": "w + 17", "a": "p + 4", "i": "a + 18", "s": "i + 6", "g": "s + 10", "x": "g + 19", "z": "x + 15", "p": 17}, "premises": {"p": 17}, "target": "k"}, "answer": {"steps": [["w", "f + 3", "f + 20"], ["f", "b + 9", "b + 29"], ["b", "n + 3", "n + 32"], ["n", "r + 11", "r + 43"], ["r", "p + 10", "p + 53"], ["p", 17, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"p": 17}, "is_reverse": true}} | 13,542 | 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 = a + 18; r = p + 10; g = s + 10; n = r + 11; b = n + 3; x = g + 19; p = 17; z = x + 15; s = i + 6; a = p + 4; w = f + 3; f = b + 9; k = w + 17. If p = 17, what is the resulting value of k?",
"role": "use... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 3 to k, which gives k = f + 20.\n2. Substitute f = b + 9 to k, which gives k = b + 29.\n3. Substitute b = n + 3 to k, which gives k = n + 32.\n4. Substitute n = r + 11 to k, which gives k = r + 43.\n5. Substitute r = p + 10 to k, which gives k = p + 53.\n6. Substitute p = 17 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 13542,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = a + 18; r = p + 10; g = s + 10; n = r + 11; b = n + 3; x = g + 19; p = 17; z = x + 15; s = i + 6; a = p + 4; w = f + 3; f = b + 9; k = w + 17. If p = 17, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 13", "y": "d + 6", "w": "y + 2", "n": "w + 19", "o": "n + 18", "u": "o + 12", "k": "h + 4", "e": "k + 18", "g": "e + 19", "p": "g + 15", "b": "p + 10", "s": "b + 5", "h": 9}, "premises": {"h": 9}, "target": "u"}, "answer": {"steps": [["o", "n + 18", "n + 30"], ["n", "w + 19", "w + 49"], ["w", "y + 2", "y + 51"], ["y", "d + 6", "d + 57"], ["d", "h + 13", "h + 70"], ["h", 9, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"h": 9}, "is_reverse": true}} | 13,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 5; u = o + 12; e = k + 18; b = p + 10; p = g + 15; d = h + 13; h = 9; n = w + 19; w = y + 2; k = h + 4; y = d + 6; g = e + 19; o = n + 18. Given that h = 9, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 18 to u, which gives u = n + 30.\n2. Substitute n = w + 19 to u, which gives u = w + 49.\n3. Substitute w = y + 2 to u, which gives u = y + 51.\n4. Substitute y = d + 6 to u, which gives u = d + 57.\n5. Substitute d = h + 13 to u, which gives u = h + 70.\n6. Substitute h = 9 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 13543,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 5; u = o + 12; e = k + 18; b = p + 10; p = g + 15; d = h + 13; h = 9; n = w + 19; w = y + 2; k = h + 4; y = d + 6; g = e + 19; o = n + 18. Given that h = 9, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 11", "k": "h + 6", "m": "k + 17", "p": "m + 8", "l": "p + 7", "a": "l + 3", "q": "t + 1", "o": "q + 13", "g": "o + 17", "i": "g + 12", "e": "i + 12", "r": "e + 2", "t": 17}, "premises": {"t": 17}, "target": "a"}, "answer": {"steps": [["l", "p + 7", "p + 10"], ["p", "m + 8", "m + 18"], ["m", "k + 17", "k + 35"], ["k", "h + 6", "h + 41"], ["h", "t + 11", "t + 52"], ["t", 17, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"t": 17}, "is_reverse": true}} | 13,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 12; g = o + 17; r = e + 2; p = m + 8; o = q + 13; l = p + 7; i = g + 12; k = h + 6; a = l + 3; h = t + 11; t = 17; q = t + 1; m = k + 17. If t = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 7 to a, which gives a = p + 10.\n2. Substitute p = m + 8 to a, which gives a = m + 18.\n3. Substitute m = k + 17 to a, which gives a = k + 35.\n4. Substitute k = h + 6 to a, which gives a = h + 41.\n5. Substitute h = t + 11 to a, which gives a = t + 52.\n6. Substitute t = 17 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 13544,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 12; g = o + 17; r = e + 2; p = m + 8; o = q + 13; l = p + 7; i = g + 12; k = h + 6; a = l + 3; h = t + 11; t = 17; q = t + 1; m = k + 17. If t = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 10", "w": "l + 2", "j": "w + 18", "u": "j + 8", "k": "u + 20", "s": "k + 6", "f": "c + 18", "h": "f + 11", "e": "h + 13", "b": "e + 6", "y": "b + 19", "g": "y + 19", "c": 3}, "premises": {"c": 3}, "target": "s"}, "answer": {"steps": [["k", "u + 20", "u + 26"], ["u", "j + 8", "j + 34"], ["j", "w + 18", "w + 52"], ["w", "l + 2", "l + 54"], ["l", "c + 10", "c + 64"], ["c", 3, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"c": 3}, "is_reverse": true}} | 13,545 | 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 = k + 6; u = j + 8; l = c + 10; f = c + 18; b = e + 6; c = 3; k = u + 20; w = l + 2; h = f + 11; g = y + 19; e = h + 13; j = w + 18; y = b + 19. If c = 3, what is the resulting value of s?",
"role": "user... | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 20 to s, which gives s = u + 26.\n2. Substitute u = j + 8 to s, which gives s = j + 34.\n3. Substitute j = w + 18 to s, which gives s = w + 52.\n4. Substitute w = l + 2 to s, which gives s = l + 54.\n5. Substitute l = c + 10 to s, which gives s = c + 64.\n6. Substitute c = 3 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 13545,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = k + 6; u = j + 8; l = c + 10; f = c + 18; b = e + 6; c = 3; k = u + 20; w = l + 2; h = f + 11; g = y + 19; e = h + 13; j = w + 18; y = b + 19. If c = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 15", "a": "o + 1", "v": "a + 18", "s": "v + 4", "m": "s + 14", "d": "m + 9", "e": "q + 13", "i": "e + 12", "n": "i + 4", "h": "n + 18", "x": "h + 14", "p": "x + 18", "q": 7}, "premises": {"q": 7}, "target": "d"}, "answer": {"steps": [["m", "s + 14", "s + 23"], ["s", "v + 4", "v + 27"], ["v", "a + 18", "a + 45"], ["a", "o + 1", "o + 46"], ["o", "q + 15", "q + 61"], ["q", 7, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"q": 7}, "is_reverse": true}} | 13,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 14; s = v + 4; q = 7; n = i + 4; a = o + 1; x = h + 14; h = n + 18; d = m + 9; v = a + 18; i = e + 12; e = q + 13; o = q + 15; p = x + 18. Given that q = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 14 to d, which gives d = s + 23.\n2. Substitute s = v + 4 to d, which gives d = v + 27.\n3. Substitute v = a + 18 to d, which gives d = a + 45.\n4. Substitute a = o + 1 to d, which gives d = o + 46.\n5. Substitute o = q + 15 to d, which gives d = q + 61.\n6. Substitute q = 7 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 13546,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 14; s = v + 4; q = 7; n = i + 4; a = o + 1; x = h + 14; h = n + 18; d = m + 9; v = a + 18; i = e + 12; e = q + 13; o = q + 15; p = x + 18. Given that q = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 2", "n": "x + 17", "p": "n + 19", "c": "p + 19", "b": "c + 5", "o": "b + 18", "v": "f + 5", "r": "v + 17", "w": "r + 4", "t": "w + 18", "i": "t + 13", "q": "i + 18", "f": 1}, "premises": {"f": 1}, "target": "o"}, "answer": {"steps": [["b", "c + 5", "c + 23"], ["c", "p + 19", "p + 42"], ["p", "n + 19", "n + 61"], ["n", "x + 17", "x + 78"], ["x", "f + 2", "f + 80"], ["f", 1, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"f": 1}, "is_reverse": true}} | 13,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 18; b = c + 5; t = w + 18; n = x + 17; o = b + 18; x = f + 2; f = 1; w = r + 4; p = n + 19; v = f + 5; r = v + 17; c = p + 19; i = t + 13. If f = 1, what is the resulting value of o?",
"role": "user... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 5 to o, which gives o = c + 23.\n2. Substitute c = p + 19 to o, which gives o = p + 42.\n3. Substitute p = n + 19 to o, which gives o = n + 61.\n4. Substitute n = x + 17 to o, which gives o = x + 78.\n5. Substitute x = f + 2 to o, which gives o = f + 80.\n6. Substitute f = 1 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 13547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 18; b = c + 5; t = w + 18; n = x + 17; o = b + 18; x = f + 2; f = 1; w = r + 4; p = n + 19; v = f + 5; r = v + 17; c = p + 19; i = t + 13. If f = 1, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 13", "b": "w + 16", "y": "b + 8", "k": "y + 17", "q": "k + 20", "u": "q + 8", "t": "v + 17", "o": "t + 16", "a": "o + 10", "m": "a + 16", "s": "m + 11", "l": "s + 10", "v": 18}, "premises": {"v": 18}, "target": "u"}, "answer": {"steps": [["q", "k + 20", "k + 28"], ["k", "y + 17", "y + 45"], ["y", "b + 8", "b + 53"], ["b", "w + 16", "w + 69"], ["w", "v + 13", "v + 82"], ["v", 18, "100"]], "target_var_name": "u", "target_value": 100, "value_dict": {"v": 18}, "is_reverse": true}} | 13,548 | 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 = q + 8; w = v + 13; a = o + 10; m = a + 16; b = w + 16; y = b + 8; t = v + 17; s = m + 11; k = y + 17; q = k + 20; v = 18; l = s + 10; o = t + 16. If v = 18, what is the resulting value of u?",
"role": "... | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 20 to u, which gives u = k + 28.\n2. Substitute k = y + 17 to u, which gives u = y + 45.\n3. Substitute y = b + 8 to u, which gives u = b + 53.\n4. Substitute b = w + 16 to u, which gives u = w + 69.\n5. Substitute w = v + 13 to u, which gives u = v + 82.\n6. Substitute v = 18 to u, which gives u = 100.\n\nThus, the final answer is u = \\boxed{100}.",
"index": 13548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 8; w = v + 13; a = o + 10; m = a + 16; b = w + 16; y = b + 8; t = v + 17; s = m + 11; k = y + 17; q = k + 20; v = 18; l = s + 10; o = t + 16. If v = 18, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 12", "w": "n + 5", "u": "w + 7", "h": "u + 20", "c": "h + 20", "x": "c + 9", "b": "m + 16", "q": "b + 2", "g": "q + 9", "j": "g + 16", "a": "j + 10", "d": "a + 11", "m": 10}, "premises": {"m": 10}, "target": "x"}, "answer": {"steps": [["c", "h + 20", "h + 29"], ["h", "u + 20", "u + 49"], ["u", "w + 7", "w + 56"], ["w", "n + 5", "n + 61"], ["n", "m + 12", "m + 73"], ["m", 10, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"m": 10}, "is_reverse": true}} | 13,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 10; a = j + 10; c = h + 20; h = u + 20; b = m + 16; d = a + 11; x = c + 9; j = g + 16; n = m + 12; g = q + 9; w = n + 5; q = b + 2; u = w + 7. If m = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 20 to x, which gives x = h + 29.\n2. Substitute h = u + 20 to x, which gives x = u + 49.\n3. Substitute u = w + 7 to x, which gives x = w + 56.\n4. Substitute w = n + 5 to x, which gives x = n + 61.\n5. Substitute n = m + 12 to x, which gives x = m + 73.\n6. Substitute m = 10 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 13549,
"question": "Consider a system of variables where each variable is defined as follows: m = 10; a = j + 10; c = h + 20; h = u + 20; b = m + 16; d = a + 11; x = c + 9; j = g + 16; n = m + 12; g = q + 9; w = n + 5; q = b + 2; u = w + 7. If m = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 3", "g": "o + 20", "r": "g + 17", "z": "r + 16", "s": "z + 15", "k": "s + 16", "l": "d + 7", "t": "l + 6", "v": "t + 5", "y": "v + 4", "n": "y + 10", "p": "n + 6", "d": 3}, "premises": {"d": 3}, "target": "k"}, "answer": {"steps": [["s", "z + 15", "z + 31"], ["z", "r + 16", "r + 47"], ["r", "g + 17", "g + 64"], ["g", "o + 20", "o + 84"], ["o", "d + 3", "d + 87"], ["d", 3, "90"]], "target_var_name": "k", "target_value": 90, "value_dict": {"d": 3}, "is_reverse": true}} | 13,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 10; t = l + 6; g = o + 20; o = d + 3; s = z + 15; z = r + 16; r = g + 17; k = s + 16; v = t + 5; p = n + 6; d = 3; y = v + 4; l = d + 7. If d = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 15 to k, which gives k = z + 31.\n2. Substitute z = r + 16 to k, which gives k = r + 47.\n3. Substitute r = g + 17 to k, which gives k = g + 64.\n4. Substitute g = o + 20 to k, which gives k = o + 84.\n5. Substitute o = d + 3 to k, which gives k = d + 87.\n6. Substitute d = 3 to k, which gives k = 90.\n\nThus, the final answer is k = \\boxed{90}.",
"index": 13550,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 10; t = l + 6; g = o + 20; o = d + 3; s = z + 15; z = r + 16; r = g + 17; k = s + 16; v = t + 5; p = n + 6; d = 3; y = v + 4; l = d + 7. If d = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 3", "l": "a + 12", "b": "l + 1", "q": "b + 2", "u": "q + 14", "x": "u + 2", "g": "h + 11", "f": "g + 3", "e": "f + 11", "d": "e + 3", "i": "d + 11", "k": "i + 5", "h": 17}, "premises": {"h": 17}, "target": "x"}, "answer": {"steps": [["u", "q + 14", "q + 16"], ["q", "b + 2", "b + 18"], ["b", "l + 1", "l + 19"], ["l", "a + 12", "a + 31"], ["a", "h + 3", "h + 34"], ["h", 17, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"h": 17}, "is_reverse": true}} | 13,551 | 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 = 17; l = a + 12; f = g + 3; d = e + 3; x = u + 2; q = b + 2; a = h + 3; u = q + 14; k = i + 5; g = h + 11; i = d + 11; b = l + 1; e = f + 11. If h = 17, what is the resulting value of x?",
"role": "user"... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 14 to x, which gives x = q + 16.\n2. Substitute q = b + 2 to x, which gives x = b + 18.\n3. Substitute b = l + 1 to x, which gives x = l + 19.\n4. Substitute l = a + 12 to x, which gives x = a + 31.\n5. Substitute a = h + 3 to x, which gives x = h + 34.\n6. Substitute h = 17 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 13551,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 17; l = a + 12; f = g + 3; d = e + 3; x = u + 2; q = b + 2; a = h + 3; u = q + 14; k = i + 5; g = h + 11; i = d + 11; b = l + 1; e = f + 11. If h = 17, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 1", "o": "l + 9", "i": "o + 2", "e": "i + 1", "w": "e + 20", "s": "w + 5", "h": "v + 10", "t": "h + 9", "p": "t + 2", "q": "p + 20", "k": "q + 6", "y": "k + 12", "v": 5}, "premises": {"v": 5}, "target": "s"}, "answer": {"steps": [["w", "e + 20", "e + 25"], ["e", "i + 1", "i + 26"], ["i", "o + 2", "o + 28"], ["o", "l + 9", "l + 37"], ["l", "v + 1", "v + 38"], ["v", 5, "43"]], "target_var_name": "s", "target_value": 43, "value_dict": {"v": 5}, "is_reverse": true}} | 13,552 | 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 + 10; v = 5; k = q + 6; s = w + 5; o = l + 9; l = v + 1; q = p + 20; w = e + 20; y = k + 12; i = o + 2; e = i + 1; t = h + 9; p = t + 2. If v = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 20 to s, which gives s = e + 25.\n2. Substitute e = i + 1 to s, which gives s = i + 26.\n3. Substitute i = o + 2 to s, which gives s = o + 28.\n4. Substitute o = l + 9 to s, which gives s = l + 37.\n5. Substitute l = v + 1 to s, which gives s = v + 38.\n6. Substitute v = 5 to s, which gives s = 43.\n\nThus, the final answer is s = \\boxed{43}.",
"index": 13552,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 10; v = 5; k = q + 6; s = w + 5; o = l + 9; l = v + 1; q = p + 20; w = e + 20; y = k + 12; i = o + 2; e = i + 1; t = h + 9; p = t + 2. If v = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 11", "x": "n + 19", "b": "x + 5", "z": "b + 9", "a": "z + 8", "r": "a + 6", "w": "h + 7", "e": "w + 5", "y": "e + 15", "m": "y + 7", "l": "m + 11", "t": "l + 17", "h": 6}, "premises": {"h": 6}, "target": "r"}, "answer": {"steps": [["a", "z + 8", "z + 14"], ["z", "b + 9", "b + 23"], ["b", "x + 5", "x + 28"], ["x", "n + 19", "n + 47"], ["n", "h + 11", "h + 58"], ["h", 6, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"h": 6}, "is_reverse": true}} | 13,553 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 9; e = w + 5; l = m + 11; t = l + 17; r = a + 6; x = n + 19; w = h + 7; a = z + 8; h = 6; b = x + 5; n = h + 11; y = e + 15; m = y + 7. Given that h = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 8 to r, which gives r = z + 14.\n2. Substitute z = b + 9 to r, which gives r = b + 23.\n3. Substitute b = x + 5 to r, which gives r = x + 28.\n4. Substitute x = n + 19 to r, which gives r = n + 47.\n5. Substitute n = h + 11 to r, which gives r = h + 58.\n6. Substitute h = 6 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 13553,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 9; e = w + 5; l = m + 11; t = l + 17; r = a + 6; x = n + 19; w = h + 7; a = z + 8; h = 6; b = x + 5; n = h + 11; y = e + 15; m = y + 7. Given that h = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 12", "p": "n + 10", "i": "p + 14", "l": "i + 10", "v": "l + 12", "d": "v + 15", "w": "c + 8", "q": "w + 19", "x": "q + 7", "s": "x + 18", "j": "s + 6", "e": "j + 5", "c": 1}, "premises": {"c": 1}, "target": "d"}, "answer": {"steps": [["v", "l + 12", "l + 27"], ["l", "i + 10", "i + 37"], ["i", "p + 14", "p + 51"], ["p", "n + 10", "n + 61"], ["n", "c + 12", "c + 73"], ["c", 1, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"c": 1}, "is_reverse": true}} | 13,554 | 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 + 8; i = p + 14; n = c + 12; l = i + 10; d = v + 15; c = 1; s = x + 18; x = q + 7; e = j + 5; j = s + 6; v = l + 12; q = w + 19; p = n + 10. If c = 1, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 12 to d, which gives d = l + 27.\n2. Substitute l = i + 10 to d, which gives d = i + 37.\n3. Substitute i = p + 14 to d, which gives d = p + 51.\n4. Substitute p = n + 10 to d, which gives d = n + 61.\n5. Substitute n = c + 12 to d, which gives d = c + 73.\n6. Substitute c = 1 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 13554,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 8; i = p + 14; n = c + 12; l = i + 10; d = v + 15; c = 1; s = x + 18; x = q + 7; e = j + 5; j = s + 6; v = l + 12; q = w + 19; p = n + 10. If c = 1, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 15", "p": "c + 12", "g": "p + 5", "m": "g + 15", "d": "m + 11", "l": "d + 10", "t": "f + 12", "k": "t + 6", "v": "k + 18", "z": "v + 20", "s": "z + 14", "o": "s + 18", "f": 16}, "premises": {"f": 16}, "target": "l"}, "answer": {"steps": [["d", "m + 11", "m + 21"], ["m", "g + 15", "g + 36"], ["g", "p + 5", "p + 41"], ["p", "c + 12", "c + 53"], ["c", "f + 15", "f + 68"], ["f", 16, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"f": 16}, "is_reverse": true}} | 13,555 | 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 + 18; p = c + 12; f = 16; l = d + 10; s = z + 14; k = t + 6; t = f + 12; g = p + 5; c = f + 15; v = k + 18; z = v + 20; m = g + 15; d = m + 11. If f = 16, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 11 to l, which gives l = m + 21.\n2. Substitute m = g + 15 to l, which gives l = g + 36.\n3. Substitute g = p + 5 to l, which gives l = p + 41.\n4. Substitute p = c + 12 to l, which gives l = c + 53.\n5. Substitute c = f + 15 to l, which gives l = f + 68.\n6. Substitute f = 16 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 13555,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 18; p = c + 12; f = 16; l = d + 10; s = z + 14; k = t + 6; t = f + 12; g = p + 5; c = f + 15; v = k + 18; z = v + 20; m = g + 15; d = m + 11. If f = 16, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 16", "l": "k + 1", "j": "l + 13", "a": "j + 16", "u": "a + 19", "r": "u + 9", "z": "v + 8", "t": "z + 3", "q": "t + 12", "w": "q + 18", "p": "w + 13", "s": "p + 2", "v": 8}, "premises": {"v": 8}, "target": "r"}, "answer": {"steps": [["u", "a + 19", "a + 28"], ["a", "j + 16", "j + 44"], ["j", "l + 13", "l + 57"], ["l", "k + 1", "k + 58"], ["k", "v + 16", "v + 74"], ["v", 8, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"v": 8}, "is_reverse": true}} | 13,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 13; z = v + 8; r = u + 9; a = j + 16; q = t + 12; u = a + 19; p = w + 13; w = q + 18; k = v + 16; s = p + 2; l = k + 1; t = z + 3; v = 8. Given that v = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 19 to r, which gives r = a + 28.\n2. Substitute a = j + 16 to r, which gives r = j + 44.\n3. Substitute j = l + 13 to r, which gives r = l + 57.\n4. Substitute l = k + 1 to r, which gives r = k + 58.\n5. Substitute k = v + 16 to r, which gives r = v + 74.\n6. Substitute v = 8 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 13556,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 13; z = v + 8; r = u + 9; a = j + 16; q = t + 12; u = a + 19; p = w + 13; w = q + 18; k = v + 16; s = p + 2; l = k + 1; t = z + 3; v = 8. Given that v = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 12", "g": "c + 13", "a": "g + 7", "h": "a + 3", "b": "h + 20", "m": "b + 18", "n": "t + 5", "l": "n + 1", "o": "l + 1", "v": "o + 20", "k": "v + 2", "x": "k + 4", "t": 5}, "premises": {"t": 5}, "target": "m"}, "answer": {"steps": [["b", "h + 20", "h + 38"], ["h", "a + 3", "a + 41"], ["a", "g + 7", "g + 48"], ["g", "c + 13", "c + 61"], ["c", "t + 12", "t + 73"], ["t", 5, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"t": 5}, "is_reverse": true}} | 13,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 12; v = o + 20; m = b + 18; b = h + 20; a = g + 7; l = n + 1; n = t + 5; x = k + 4; g = c + 13; h = a + 3; k = v + 2; t = 5; o = l + 1. If t = 5, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 20 to m, which gives m = h + 38.\n2. Substitute h = a + 3 to m, which gives m = a + 41.\n3. Substitute a = g + 7 to m, which gives m = g + 48.\n4. Substitute g = c + 13 to m, which gives m = c + 61.\n5. Substitute c = t + 12 to m, which gives m = t + 73.\n6. Substitute t = 5 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 13557,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 12; v = o + 20; m = b + 18; b = h + 20; a = g + 7; l = n + 1; n = t + 5; x = k + 4; g = c + 13; h = a + 3; k = v + 2; t = 5; o = l + 1. If t = 5, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 2", "d": "u + 8", "i": "d + 7", "n": "i + 4", "e": "n + 3", "t": "e + 6", "a": "f + 17", "w": "a + 11", "q": "w + 3", "g": "q + 11", "p": "g + 11", "r": "p + 7", "f": 4}, "premises": {"f": 4}, "target": "t"}, "answer": {"steps": [["e", "n + 3", "n + 9"], ["n", "i + 4", "i + 13"], ["i", "d + 7", "d + 20"], ["d", "u + 8", "u + 28"], ["u", "f + 2", "f + 30"], ["f", 4, "34"]], "target_var_name": "t", "target_value": 34, "value_dict": {"f": 4}, "is_reverse": true}} | 13,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 4; g = q + 11; t = e + 6; e = n + 3; q = w + 3; a = f + 17; p = g + 11; f = 4; u = f + 2; i = d + 7; w = a + 11; d = u + 8; r = p + 7. Given that f = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 34,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 3 to t, which gives t = n + 9.\n2. Substitute n = i + 4 to t, which gives t = i + 13.\n3. Substitute i = d + 7 to t, which gives t = d + 20.\n4. Substitute d = u + 8 to t, which gives t = u + 28.\n5. Substitute u = f + 2 to t, which gives t = f + 30.\n6. Substitute f = 4 to t, which gives t = 34.\n\nThus, the final answer is t = \\boxed{34}.",
"index": 13558,
"question": "Suppose a collection of variables is related by the following definitions: n = i + 4; g = q + 11; t = e + 6; e = n + 3; q = w + 3; a = f + 17; p = g + 11; f = 4; u = f + 2; i = d + 7; w = a + 11; d = u + 8; r = p + 7. Given that f = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 8", "j": "y + 7", "s": "j + 1", "f": "s + 10", "u": "f + 14", "k": "u + 11", "a": "g + 8", "h": "a + 8", "o": "h + 11", "d": "o + 13", "v": "d + 4", "w": "v + 5", "g": 7}, "premises": {"g": 7}, "target": "k"}, "answer": {"steps": [["u", "f + 14", "f + 25"], ["f", "s + 10", "s + 35"], ["s", "j + 1", "j + 36"], ["j", "y + 7", "y + 43"], ["y", "g + 8", "g + 51"], ["g", 7, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"g": 7}, "is_reverse": true}} | 13,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = u + 11; o = h + 11; g = 7; w = v + 5; y = g + 8; d = o + 13; u = f + 14; v = d + 4; s = j + 1; h = a + 8; a = g + 8; f = s + 10; j = y + 7. Given that g = 7, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 14 to k, which gives k = f + 25.\n2. Substitute f = s + 10 to k, which gives k = s + 35.\n3. Substitute s = j + 1 to k, which gives k = j + 36.\n4. Substitute j = y + 7 to k, which gives k = y + 43.\n5. Substitute y = g + 8 to k, which gives k = g + 51.\n6. Substitute g = 7 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 13559,
"question": "Suppose a collection of variables is related by the following definitions: k = u + 11; o = h + 11; g = 7; w = v + 5; y = g + 8; d = o + 13; u = f + 14; v = d + 4; s = j + 1; h = a + 8; a = g + 8; f = s + 10; j = y + 7. Given that g = 7, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 12", "q": "s + 8", "h": "q + 13", "v": "h + 19", "u": "v + 16", "c": "u + 1", "d": "t + 13", "w": "d + 7", "n": "w + 4", "o": "n + 20", "e": "o + 3", "b": "e + 9", "t": 1}, "premises": {"t": 1}, "target": "c"}, "answer": {"steps": [["u", "v + 16", "v + 17"], ["v", "h + 19", "h + 36"], ["h", "q + 13", "q + 49"], ["q", "s + 8", "s + 57"], ["s", "t + 12", "t + 69"], ["t", 1, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"t": 1}, "is_reverse": true}} | 13,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 4; o = n + 20; b = e + 9; w = d + 7; c = u + 1; s = t + 12; v = h + 19; e = o + 3; h = q + 13; d = t + 13; u = v + 16; t = 1; q = s + 8. If t = 1, what is the resulting value of c?",
"role": "user"
... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 16 to c, which gives c = v + 17.\n2. Substitute v = h + 19 to c, which gives c = h + 36.\n3. Substitute h = q + 13 to c, which gives c = q + 49.\n4. Substitute q = s + 8 to c, which gives c = s + 57.\n5. Substitute s = t + 12 to c, which gives c = t + 69.\n6. Substitute t = 1 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 13560,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 4; o = n + 20; b = e + 9; w = d + 7; c = u + 1; s = t + 12; v = h + 19; e = o + 3; h = q + 13; d = t + 13; u = v + 16; t = 1; q = s + 8. If t = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 12", "v": "z + 14", "b": "v + 3", "f": "b + 18", "l": "f + 5", "i": "l + 20", "t": "j + 8", "w": "t + 20", "n": "w + 20", "e": "n + 7", "s": "e + 8", "u": "s + 14", "j": 15}, "premises": {"j": 15}, "target": "i"}, "answer": {"steps": [["l", "f + 5", "f + 25"], ["f", "b + 18", "b + 43"], ["b", "v + 3", "v + 46"], ["v", "z + 14", "z + 60"], ["z", "j + 12", "j + 72"], ["j", 15, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"j": 15}, "is_reverse": true}} | 13,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = s + 14; n = w + 20; z = j + 12; t = j + 8; e = n + 7; s = e + 8; v = z + 14; b = v + 3; l = f + 5; i = l + 20; w = t + 20; j = 15; f = b + 18. Given that j = 15, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 5 to i, which gives i = f + 25.\n2. Substitute f = b + 18 to i, which gives i = b + 43.\n3. Substitute b = v + 3 to i, which gives i = v + 46.\n4. Substitute v = z + 14 to i, which gives i = z + 60.\n5. Substitute z = j + 12 to i, which gives i = j + 72.\n6. Substitute j = 15 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 13561,
"question": "Suppose a collection of variables is related by the following definitions: u = s + 14; n = w + 20; z = j + 12; t = j + 8; e = n + 7; s = e + 8; v = z + 14; b = v + 3; l = f + 5; i = l + 20; w = t + 20; j = 15; f = b + 18. Given that j = 15, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 19", "j": "o + 6", "u": "j + 3", "x": "u + 11", "f": "x + 18", "l": "f + 9", "g": "d + 14", "a": "g + 1", "z": "a + 17", "s": "z + 4", "h": "s + 11", "w": "h + 12", "d": 9}, "premises": {"d": 9}, "target": "l"}, "answer": {"steps": [["f", "x + 18", "x + 27"], ["x", "u + 11", "u + 38"], ["u", "j + 3", "j + 41"], ["j", "o + 6", "o + 47"], ["o", "d + 19", "d + 66"], ["d", 9, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"d": 9}, "is_reverse": true}} | 13,562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 14; u = j + 3; o = d + 19; j = o + 6; s = z + 4; z = a + 17; l = f + 9; f = x + 18; a = g + 1; x = u + 11; h = s + 11; w = h + 12; d = 9. Given that d = 9, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 18 to l, which gives l = x + 27.\n2. Substitute x = u + 11 to l, which gives l = u + 38.\n3. Substitute u = j + 3 to l, which gives l = j + 41.\n4. Substitute j = o + 6 to l, which gives l = o + 47.\n5. Substitute o = d + 19 to l, which gives l = d + 66.\n6. Substitute d = 9 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 13562,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 14; u = j + 3; o = d + 19; j = o + 6; s = z + 4; z = a + 17; l = f + 9; f = x + 18; a = g + 1; x = u + 11; h = s + 11; w = h + 12; d = 9. Given that d = 9, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 16", "b": "c + 12", "o": "b + 20", "u": "o + 1", "s": "u + 19", "z": "s + 8", "k": "n + 12", "d": "k + 4", "t": "d + 19", "a": "t + 13", "m": "a + 6", "l": "m + 8", "n": 10}, "premises": {"n": 10}, "target": "z"}, "answer": {"steps": [["s", "u + 19", "u + 27"], ["u", "o + 1", "o + 28"], ["o", "b + 20", "b + 48"], ["b", "c + 12", "c + 60"], ["c", "n + 16", "n + 76"], ["n", 10, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"n": 10}, "is_reverse": true}} | 13,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 8; n = 10; m = a + 6; s = u + 19; d = k + 4; o = b + 20; t = d + 19; c = n + 16; l = m + 8; b = c + 12; a = t + 13; u = o + 1; k = n + 12. Given that n = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 19 to z, which gives z = u + 27.\n2. Substitute u = o + 1 to z, which gives z = o + 28.\n3. Substitute o = b + 20 to z, which gives z = b + 48.\n4. Substitute b = c + 12 to z, which gives z = c + 60.\n5. Substitute c = n + 16 to z, which gives z = n + 76.\n6. Substitute n = 10 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 13563,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 8; n = 10; m = a + 6; s = u + 19; d = k + 4; o = b + 20; t = d + 19; c = n + 16; l = m + 8; b = c + 12; a = t + 13; u = o + 1; k = n + 12. Given that n = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 11", "k": "y + 20", "j": "k + 18", "e": "j + 12", "l": "e + 5", "d": "l + 11", "q": "r + 7", "a": "q + 3", "u": "a + 12", "s": "u + 11", "w": "s + 8", "n": "w + 17", "r": 18}, "premises": {"r": 18}, "target": "d"}, "answer": {"steps": [["l", "e + 5", "e + 16"], ["e", "j + 12", "j + 28"], ["j", "k + 18", "k + 46"], ["k", "y + 20", "y + 66"], ["y", "r + 11", "r + 77"], ["r", 18, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"r": 18}, "is_reverse": true}} | 13,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = e + 5; k = y + 20; r = 18; s = u + 11; n = w + 17; d = l + 11; e = j + 12; w = s + 8; q = r + 7; a = q + 3; y = r + 11; j = k + 18; u = a + 12. If r = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 5 to d, which gives d = e + 16.\n2. Substitute e = j + 12 to d, which gives d = j + 28.\n3. Substitute j = k + 18 to d, which gives d = k + 46.\n4. Substitute k = y + 20 to d, which gives d = y + 66.\n5. Substitute y = r + 11 to d, which gives d = r + 77.\n6. Substitute r = 18 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 13564,
"question": "Consider a system of variables where each variable is defined as follows: l = e + 5; k = y + 20; r = 18; s = u + 11; n = w + 17; d = l + 11; e = j + 12; w = s + 8; q = r + 7; a = q + 3; y = r + 11; j = k + 18; u = a + 12. If r = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 11", "l": "a + 13", "z": "l + 17", "s": "z + 13", "e": "s + 4", "b": "e + 3", "m": "p + 1", "v": "m + 17", "g": "v + 13", "u": "g + 16", "c": "u + 8", "f": "c + 20", "p": 16}, "premises": {"p": 16}, "target": "b"}, "answer": {"steps": [["e", "s + 4", "s + 7"], ["s", "z + 13", "z + 20"], ["z", "l + 17", "l + 37"], ["l", "a + 13", "a + 50"], ["a", "p + 11", "p + 61"], ["p", 16, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"p": 16}, "is_reverse": true}} | 13,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 13; g = v + 13; p = 16; f = c + 20; c = u + 8; z = l + 17; b = e + 3; e = s + 4; u = g + 16; v = m + 17; a = p + 11; l = a + 13; m = p + 1. If p = 16, what is the resulting value of b?",
"role": "us... | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 4 to b, which gives b = s + 7.\n2. Substitute s = z + 13 to b, which gives b = z + 20.\n3. Substitute z = l + 17 to b, which gives b = l + 37.\n4. Substitute l = a + 13 to b, which gives b = a + 50.\n5. Substitute a = p + 11 to b, which gives b = p + 61.\n6. Substitute p = 16 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 13565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 13; g = v + 13; p = 16; f = c + 20; c = u + 8; z = l + 17; b = e + 3; e = s + 4; u = g + 16; v = m + 17; a = p + 11; l = a + 13; m = p + 1. If p = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 11", "j": "a + 9", "e": "j + 11", "n": "e + 3", "k": "n + 17", "b": "k + 15", "o": "u + 11", "f": "o + 6", "z": "f + 3", "t": "z + 20", "q": "t + 10", "r": "q + 14", "u": 16}, "premises": {"u": 16}, "target": "b"}, "answer": {"steps": [["k", "n + 17", "n + 32"], ["n", "e + 3", "e + 35"], ["e", "j + 11", "j + 46"], ["j", "a + 9", "a + 55"], ["a", "u + 11", "u + 66"], ["u", 16, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"u": 16}, "is_reverse": true}} | 13,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = u + 11; u = 16; f = o + 6; r = q + 14; b = k + 15; k = n + 17; e = j + 11; z = f + 3; j = a + 9; n = e + 3; t = z + 20; q = t + 10; a = u + 11. Given that u = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 17 to b, which gives b = n + 32.\n2. Substitute n = e + 3 to b, which gives b = e + 35.\n3. Substitute e = j + 11 to b, which gives b = j + 46.\n4. Substitute j = a + 9 to b, which gives b = a + 55.\n5. Substitute a = u + 11 to b, which gives b = u + 66.\n6. Substitute u = 16 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 13566,
"question": "Suppose a collection of variables is related by the following definitions: o = u + 11; u = 16; f = o + 6; r = q + 14; b = k + 15; k = n + 17; e = j + 11; z = f + 3; j = a + 9; n = e + 3; t = z + 20; q = t + 10; a = u + 11. Given that u = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 6", "l": "e + 19", "f": "l + 6", "k": "f + 18", "j": "k + 1", "c": "j + 13", "g": "y + 17", "w": "g + 3", "s": "w + 12", "i": "s + 18", "h": "i + 3", "m": "h + 17", "y": 11}, "premises": {"y": 11}, "target": "c"}, "answer": {"steps": [["j", "k + 1", "k + 14"], ["k", "f + 18", "f + 32"], ["f", "l + 6", "l + 38"], ["l", "e + 19", "e + 57"], ["e", "y + 6", "y + 63"], ["y", 11, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"y": 11}, "is_reverse": true}} | 13,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 3; k = f + 18; y = 11; i = s + 18; j = k + 1; l = e + 19; s = w + 12; f = l + 6; h = i + 3; c = j + 13; g = y + 17; e = y + 6; m = h + 17. Given that y = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 1 to c, which gives c = k + 14.\n2. Substitute k = f + 18 to c, which gives c = f + 32.\n3. Substitute f = l + 6 to c, which gives c = l + 38.\n4. Substitute l = e + 19 to c, which gives c = e + 57.\n5. Substitute e = y + 6 to c, which gives c = y + 63.\n6. Substitute y = 11 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 13567,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 3; k = f + 18; y = 11; i = s + 18; j = k + 1; l = e + 19; s = w + 12; f = l + 6; h = i + 3; c = j + 13; g = y + 17; e = y + 6; m = h + 17. Given that y = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 7", "b": "f + 18", "g": "b + 1", "t": "g + 15", "a": "t + 3", "y": "a + 5", "p": "l + 15", "n": "p + 1", "w": "n + 11", "k": "w + 13", "r": "k + 14", "q": "r + 11", "l": 16}, "premises": {"l": 16}, "target": "y"}, "answer": {"steps": [["a", "t + 3", "t + 8"], ["t", "g + 15", "g + 23"], ["g", "b + 1", "b + 24"], ["b", "f + 18", "f + 42"], ["f", "l + 7", "l + 49"], ["l", 16, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"l": 16}, "is_reverse": true}} | 13,568 | 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 = g + 15; p = l + 15; l = 16; w = n + 11; b = f + 18; y = a + 5; k = w + 13; a = t + 3; g = b + 1; q = r + 11; n = p + 1; f = l + 7; r = k + 14. If l = 16, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 3 to y, which gives y = t + 8.\n2. Substitute t = g + 15 to y, which gives y = g + 23.\n3. Substitute g = b + 1 to y, which gives y = b + 24.\n4. Substitute b = f + 18 to y, which gives y = f + 42.\n5. Substitute f = l + 7 to y, which gives y = l + 49.\n6. Substitute l = 16 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 13568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = g + 15; p = l + 15; l = 16; w = n + 11; b = f + 18; y = a + 5; k = w + 13; a = t + 3; g = b + 1; q = r + 11; n = p + 1; f = l + 7; r = k + 14. If l = 16, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 13", "d": "z + 7", "r": "d + 11", "w": "r + 8", "u": "w + 12", "b": "u + 5", "g": "a + 10", "j": "g + 15", "l": "j + 5", "x": "l + 8", "m": "x + 17", "f": "m + 11", "a": 15}, "premises": {"a": 15}, "target": "b"}, "answer": {"steps": [["u", "w + 12", "w + 17"], ["w", "r + 8", "r + 25"], ["r", "d + 11", "d + 36"], ["d", "z + 7", "z + 43"], ["z", "a + 13", "a + 56"], ["a", 15, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"a": 15}, "is_reverse": true}} | 13,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 5; w = r + 8; g = a + 10; u = w + 12; j = g + 15; x = l + 8; a = 15; m = x + 17; d = z + 7; b = u + 5; z = a + 13; r = d + 11; f = m + 11. If a = 15, what is the resulting value of b?",
"role": "use... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 12 to b, which gives b = w + 17.\n2. Substitute w = r + 8 to b, which gives b = r + 25.\n3. Substitute r = d + 11 to b, which gives b = d + 36.\n4. Substitute d = z + 7 to b, which gives b = z + 43.\n5. Substitute z = a + 13 to b, which gives b = a + 56.\n6. Substitute a = 15 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 13569,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 5; w = r + 8; g = a + 10; u = w + 12; j = g + 15; x = l + 8; a = 15; m = x + 17; d = z + 7; b = u + 5; z = a + 13; r = d + 11; f = m + 11. If a = 15, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 4", "b": "q + 17", "l": "b + 18", "d": "l + 14", "r": "d + 8", "z": "r + 10", "v": "e + 1", "w": "v + 11", "j": "w + 17", "k": "j + 16", "m": "k + 1", "u": "m + 19", "e": 11}, "premises": {"e": 11}, "target": "z"}, "answer": {"steps": [["r", "d + 8", "d + 18"], ["d", "l + 14", "l + 32"], ["l", "b + 18", "b + 50"], ["b", "q + 17", "q + 67"], ["q", "e + 4", "e + 71"], ["e", 11, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"e": 11}, "is_reverse": true}} | 13,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 11; d = l + 14; l = b + 18; v = e + 1; j = w + 17; z = r + 10; r = d + 8; u = m + 19; k = j + 16; w = v + 11; q = e + 4; m = k + 1; b = q + 17. Given that e = 11, find 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 r = d + 8 to z, which gives z = d + 18.\n2. Substitute d = l + 14 to z, which gives z = l + 32.\n3. Substitute l = b + 18 to z, which gives z = b + 50.\n4. Substitute b = q + 17 to z, which gives z = q + 67.\n5. Substitute q = e + 4 to z, which gives z = e + 71.\n6. Substitute e = 11 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 13570,
"question": "Suppose a collection of variables is related by the following definitions: e = 11; d = l + 14; l = b + 18; v = e + 1; j = w + 17; z = r + 10; r = d + 8; u = m + 19; k = j + 16; w = v + 11; q = e + 4; m = k + 1; b = q + 17. Given that e = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 19", "c": "l + 14", "r": "c + 17", "y": "r + 6", "d": "y + 4", "u": "d + 5", "z": "p + 9", "i": "z + 20", "q": "i + 6", "n": "q + 3", "e": "n + 13", "v": "e + 13", "p": 3}, "premises": {"p": 3}, "target": "u"}, "answer": {"steps": [["d", "y + 4", "y + 9"], ["y", "r + 6", "r + 15"], ["r", "c + 17", "c + 32"], ["c", "l + 14", "l + 46"], ["l", "p + 19", "p + 65"], ["p", 3, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"p": 3}, "is_reverse": true}} | 13,571 | 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 = z + 20; n = q + 3; z = p + 9; l = p + 19; v = e + 13; u = d + 5; c = l + 14; y = r + 6; d = y + 4; p = 3; q = i + 6; e = n + 13; r = c + 17. If p = 3, what is the resulting value of u?",
"role": "user"
... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 4 to u, which gives u = y + 9.\n2. Substitute y = r + 6 to u, which gives u = r + 15.\n3. Substitute r = c + 17 to u, which gives u = c + 32.\n4. Substitute c = l + 14 to u, which gives u = l + 46.\n5. Substitute l = p + 19 to u, which gives u = p + 65.\n6. Substitute p = 3 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 13571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 20; n = q + 3; z = p + 9; l = p + 19; v = e + 13; u = d + 5; c = l + 14; y = r + 6; d = y + 4; p = 3; q = i + 6; e = n + 13; r = c + 17. If p = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 20", "b": "d + 4", "w": "b + 17", "h": "w + 4", "m": "h + 20", "k": "m + 10", "q": "v + 16", "l": "q + 17", "f": "l + 19", "t": "f + 15", "e": "t + 2", "o": "e + 1", "v": 14}, "premises": {"v": 14}, "target": "k"}, "answer": {"steps": [["m", "h + 20", "h + 30"], ["h", "w + 4", "w + 34"], ["w", "b + 17", "b + 51"], ["b", "d + 4", "d + 55"], ["d", "v + 20", "v + 75"], ["v", 14, "89"]], "target_var_name": "k", "target_value": 89, "value_dict": {"v": 14}, "is_reverse": true}} | 13,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 4; l = q + 17; k = m + 10; t = f + 15; e = t + 2; q = v + 16; m = h + 20; b = d + 4; d = v + 20; v = 14; f = l + 19; w = b + 17; o = e + 1. If v = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 20 to k, which gives k = h + 30.\n2. Substitute h = w + 4 to k, which gives k = w + 34.\n3. Substitute w = b + 17 to k, which gives k = b + 51.\n4. Substitute b = d + 4 to k, which gives k = d + 55.\n5. Substitute d = v + 20 to k, which gives k = v + 75.\n6. Substitute v = 14 to k, which gives k = 89.\n\nThus, the final answer is k = \\boxed{89}.",
"index": 13572,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 4; l = q + 17; k = m + 10; t = f + 15; e = t + 2; q = v + 16; m = h + 20; b = d + 4; d = v + 20; v = 14; f = l + 19; w = b + 17; o = e + 1. If v = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 6", "z": "p + 5", "o": "z + 16", "w": "o + 10", "v": "w + 7", "x": "v + 4", "j": "n + 1", "l": "j + 19", "b": "l + 7", "t": "b + 8", "f": "t + 20", "i": "f + 17", "n": 12}, "premises": {"n": 12}, "target": "x"}, "answer": {"steps": [["v", "w + 7", "w + 11"], ["w", "o + 10", "o + 21"], ["o", "z + 16", "z + 37"], ["z", "p + 5", "p + 42"], ["p", "n + 6", "n + 48"], ["n", 12, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"n": 12}, "is_reverse": true}} | 13,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 16; w = o + 10; t = b + 8; f = t + 20; j = n + 1; x = v + 4; z = p + 5; p = n + 6; b = l + 7; v = w + 7; l = j + 19; n = 12; i = f + 17. If n = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 7 to x, which gives x = w + 11.\n2. Substitute w = o + 10 to x, which gives x = o + 21.\n3. Substitute o = z + 16 to x, which gives x = z + 37.\n4. Substitute z = p + 5 to x, which gives x = p + 42.\n5. Substitute p = n + 6 to x, which gives x = n + 48.\n6. Substitute n = 12 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 13573,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 16; w = o + 10; t = b + 8; f = t + 20; j = n + 1; x = v + 4; z = p + 5; p = n + 6; b = l + 7; v = w + 7; l = j + 19; n = 12; i = f + 17. If n = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 18", "b": "s + 8", "q": "b + 8", "h": "q + 3", "k": "h + 1", "c": "k + 18", "u": "n + 13", "l": "u + 19", "v": "l + 8", "t": "v + 16", "w": "t + 10", "i": "w + 11", "n": 17}, "premises": {"n": 17}, "target": "c"}, "answer": {"steps": [["k", "h + 1", "h + 19"], ["h", "q + 3", "q + 22"], ["q", "b + 8", "b + 30"], ["b", "s + 8", "s + 38"], ["s", "n + 18", "n + 56"], ["n", 17, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"n": 17}, "is_reverse": true}} | 13,574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = s + 8; h = q + 3; w = t + 10; k = h + 1; t = v + 16; u = n + 13; s = n + 18; l = u + 19; n = 17; i = w + 11; c = k + 18; q = b + 8; v = l + 8. Given that n = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 1 to c, which gives c = h + 19.\n2. Substitute h = q + 3 to c, which gives c = q + 22.\n3. Substitute q = b + 8 to c, which gives c = b + 30.\n4. Substitute b = s + 8 to c, which gives c = s + 38.\n5. Substitute s = n + 18 to c, which gives c = n + 56.\n6. Substitute n = 17 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 13574,
"question": "Suppose a collection of variables is related by the following definitions: b = s + 8; h = q + 3; w = t + 10; k = h + 1; t = v + 16; u = n + 13; s = n + 18; l = u + 19; n = 17; i = w + 11; c = k + 18; q = b + 8; v = l + 8. Given that n = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 5", "q": "m + 10", "a": "q + 3", "l": "a + 12", "x": "l + 7", "c": "x + 5", "o": "t + 14", "z": "o + 7", "s": "z + 4", "p": "s + 3", "h": "p + 19", "g": "h + 5", "t": 1}, "premises": {"t": 1}, "target": "c"}, "answer": {"steps": [["x", "l + 7", "l + 12"], ["l", "a + 12", "a + 24"], ["a", "q + 3", "q + 27"], ["q", "m + 10", "m + 37"], ["m", "t + 5", "t + 42"], ["t", 1, "43"]], "target_var_name": "c", "target_value": 43, "value_dict": {"t": 1}, "is_reverse": true}} | 13,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 19; z = o + 7; o = t + 14; x = l + 7; m = t + 5; g = h + 5; s = z + 4; c = x + 5; p = s + 3; t = 1; q = m + 10; a = q + 3; l = a + 12. If t = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 7 to c, which gives c = l + 12.\n2. Substitute l = a + 12 to c, which gives c = a + 24.\n3. Substitute a = q + 3 to c, which gives c = q + 27.\n4. Substitute q = m + 10 to c, which gives c = m + 37.\n5. Substitute m = t + 5 to c, which gives c = t + 42.\n6. Substitute t = 1 to c, which gives c = 43.\n\nThus, the final answer is c = \\boxed{43}.",
"index": 13575,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 19; z = o + 7; o = t + 14; x = l + 7; m = t + 5; g = h + 5; s = z + 4; c = x + 5; p = s + 3; t = 1; q = m + 10; a = q + 3; l = a + 12. If t = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 5", "c": "k + 16", "t": "c + 14", "j": "t + 14", "n": "j + 19", "a": "n + 5", "v": "d + 16", "r": "v + 20", "o": "r + 9", "q": "o + 10", "e": "q + 2", "m": "e + 8", "d": 3}, "premises": {"d": 3}, "target": "a"}, "answer": {"steps": [["n", "j + 19", "j + 24"], ["j", "t + 14", "t + 38"], ["t", "c + 14", "c + 52"], ["c", "k + 16", "k + 68"], ["k", "d + 5", "d + 73"], ["d", 3, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"d": 3}, "is_reverse": true}} | 13,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 14; o = r + 9; k = d + 5; j = t + 14; e = q + 2; q = o + 10; r = v + 20; c = k + 16; a = n + 5; m = e + 8; v = d + 16; n = j + 19; d = 3. If d = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 19 to a, which gives a = j + 24.\n2. Substitute j = t + 14 to a, which gives a = t + 38.\n3. Substitute t = c + 14 to a, which gives a = c + 52.\n4. Substitute c = k + 16 to a, which gives a = k + 68.\n5. Substitute k = d + 5 to a, which gives a = d + 73.\n6. Substitute d = 3 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 13576,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 14; o = r + 9; k = d + 5; j = t + 14; e = q + 2; q = o + 10; r = v + 20; c = k + 16; a = n + 5; m = e + 8; v = d + 16; n = j + 19; d = 3. If d = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 1", "j": "i + 7", "f": "j + 4", "p": "f + 2", "y": "p + 14", "o": "y + 13", "c": "q + 15", "s": "c + 15", "e": "s + 19", "u": "e + 4", "h": "u + 2", "w": "h + 18", "q": 7}, "premises": {"q": 7}, "target": "o"}, "answer": {"steps": [["y", "p + 14", "p + 27"], ["p", "f + 2", "f + 29"], ["f", "j + 4", "j + 33"], ["j", "i + 7", "i + 40"], ["i", "q + 1", "q + 41"], ["q", 7, "48"]], "target_var_name": "o", "target_value": 48, "value_dict": {"q": 7}, "is_reverse": true}} | 13,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 15; q = 7; s = c + 15; j = i + 7; w = h + 18; h = u + 2; o = y + 13; f = j + 4; y = p + 14; i = q + 1; e = s + 19; p = f + 2; u = e + 4. Given that q = 7, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 14 to o, which gives o = p + 27.\n2. Substitute p = f + 2 to o, which gives o = f + 29.\n3. Substitute f = j + 4 to o, which gives o = j + 33.\n4. Substitute j = i + 7 to o, which gives o = i + 40.\n5. Substitute i = q + 1 to o, which gives o = q + 41.\n6. Substitute q = 7 to o, which gives o = 48.\n\nThus, the final answer is o = \\boxed{48}.",
"index": 13577,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 15; q = 7; s = c + 15; j = i + 7; w = h + 18; h = u + 2; o = y + 13; f = j + 4; y = p + 14; i = q + 1; e = s + 19; p = f + 2; u = e + 4. Given that q = 7, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 8", "r": "k + 8", "d": "r + 3", "n": "d + 19", "w": "n + 5", "i": "w + 15", "e": "b + 17", "p": "e + 15", "h": "p + 10", "f": "h + 19", "t": "f + 15", "l": "t + 16", "b": 12}, "premises": {"b": 12}, "target": "i"}, "answer": {"steps": [["w", "n + 5", "n + 20"], ["n", "d + 19", "d + 39"], ["d", "r + 3", "r + 42"], ["r", "k + 8", "k + 50"], ["k", "b + 8", "b + 58"], ["b", 12, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"b": 12}, "is_reverse": true}} | 13,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 5; d = r + 3; b = 12; h = p + 10; p = e + 15; i = w + 15; k = b + 8; n = d + 19; f = h + 19; r = k + 8; e = b + 17; l = t + 16; t = f + 15. Given that b = 12, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 5 to i, which gives i = n + 20.\n2. Substitute n = d + 19 to i, which gives i = d + 39.\n3. Substitute d = r + 3 to i, which gives i = r + 42.\n4. Substitute r = k + 8 to i, which gives i = k + 50.\n5. Substitute k = b + 8 to i, which gives i = b + 58.\n6. Substitute b = 12 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 13578,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 5; d = r + 3; b = 12; h = p + 10; p = e + 15; i = w + 15; k = b + 8; n = d + 19; f = h + 19; r = k + 8; e = b + 17; l = t + 16; t = f + 15. Given that b = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 16", "s": "c + 20", "x": "s + 18", "e": "x + 17", "y": "e + 18", "d": "y + 4", "k": "q + 6", "j": "k + 6", "v": "j + 5", "u": "v + 11", "h": "u + 2", "o": "h + 5", "q": 15}, "premises": {"q": 15}, "target": "d"}, "answer": {"steps": [["y", "e + 18", "e + 22"], ["e", "x + 17", "x + 39"], ["x", "s + 18", "s + 57"], ["s", "c + 20", "c + 77"], ["c", "q + 16", "q + 93"], ["q", 15, "108"]], "target_var_name": "d", "target_value": 108, "value_dict": {"q": 15}, "is_reverse": true}} | 13,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = x + 17; c = q + 16; u = v + 11; x = s + 18; o = h + 5; q = 15; y = e + 18; d = y + 4; s = c + 20; h = u + 2; k = q + 6; j = k + 6; v = j + 5. Given that q = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 18 to d, which gives d = e + 22.\n2. Substitute e = x + 17 to d, which gives d = x + 39.\n3. Substitute x = s + 18 to d, which gives d = s + 57.\n4. Substitute s = c + 20 to d, which gives d = c + 77.\n5. Substitute c = q + 16 to d, which gives d = q + 93.\n6. Substitute q = 15 to d, which gives d = 108.\n\nThus, the final answer is d = \\boxed{108}.",
"index": 13579,
"question": "Suppose a collection of variables is related by the following definitions: e = x + 17; c = q + 16; u = v + 11; x = s + 18; o = h + 5; q = 15; y = e + 18; d = y + 4; s = c + 20; h = u + 2; k = q + 6; j = k + 6; v = j + 5. Given that q = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 9", "q": "t + 5", "p": "q + 18", "r": "p + 7", "i": "r + 6", "a": "i + 10", "n": "u + 8", "h": "n + 7", "g": "h + 18", "y": "g + 12", "m": "y + 9", "k": "m + 3", "u": 6}, "premises": {"u": 6}, "target": "a"}, "answer": {"steps": [["i", "r + 6", "r + 16"], ["r", "p + 7", "p + 23"], ["p", "q + 18", "q + 41"], ["q", "t + 5", "t + 46"], ["t", "u + 9", "u + 55"], ["u", 6, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"u": 6}, "is_reverse": true}} | 13,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 8; t = u + 9; r = p + 7; a = i + 10; u = 6; k = m + 3; i = r + 6; m = y + 9; p = q + 18; q = t + 5; h = n + 7; y = g + 12; g = h + 18. If u = 6, what is the resulting value of a?",
"role": "user"
... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 6 to a, which gives a = r + 16.\n2. Substitute r = p + 7 to a, which gives a = p + 23.\n3. Substitute p = q + 18 to a, which gives a = q + 41.\n4. Substitute q = t + 5 to a, which gives a = t + 46.\n5. Substitute t = u + 9 to a, which gives a = u + 55.\n6. Substitute u = 6 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 13580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 8; t = u + 9; r = p + 7; a = i + 10; u = 6; k = m + 3; i = r + 6; m = y + 9; p = q + 18; q = t + 5; h = n + 7; y = g + 12; g = h + 18. If u = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 4", "r": "w + 1", "l": "r + 19", "j": "l + 14", "k": "j + 19", "c": "k + 17", "a": "m + 8", "s": "a + 7", "f": "s + 11", "z": "f + 15", "y": "z + 19", "p": "y + 17", "m": 18}, "premises": {"m": 18}, "target": "c"}, "answer": {"steps": [["k", "j + 19", "j + 36"], ["j", "l + 14", "l + 50"], ["l", "r + 19", "r + 69"], ["r", "w + 1", "w + 70"], ["w", "m + 4", "m + 74"], ["m", 18, "92"]], "target_var_name": "c", "target_value": 92, "value_dict": {"m": 18}, "is_reverse": true}} | 13,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = k + 17; r = w + 1; p = y + 17; s = a + 7; w = m + 4; j = l + 14; a = m + 8; z = f + 15; k = j + 19; y = z + 19; l = r + 19; f = s + 11; m = 18. Given that m = 18, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 19 to c, which gives c = j + 36.\n2. Substitute j = l + 14 to c, which gives c = l + 50.\n3. Substitute l = r + 19 to c, which gives c = r + 69.\n4. Substitute r = w + 1 to c, which gives c = w + 70.\n5. Substitute w = m + 4 to c, which gives c = m + 74.\n6. Substitute m = 18 to c, which gives c = 92.\n\nThus, the final answer is c = \\boxed{92}.",
"index": 13581,
"question": "Suppose a collection of variables is related by the following definitions: c = k + 17; r = w + 1; p = y + 17; s = a + 7; w = m + 4; j = l + 14; a = m + 8; z = f + 15; k = j + 19; y = z + 19; l = r + 19; f = s + 11; m = 18. Given that m = 18, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 7", "l": "a + 10", "t": "l + 11", "z": "t + 11", "n": "z + 12", "h": "n + 19", "d": "v + 14", "f": "d + 4", "m": "f + 9", "x": "m + 6", "s": "x + 6", "p": "s + 2", "v": 8}, "premises": {"v": 8}, "target": "h"}, "answer": {"steps": [["n", "z + 12", "z + 31"], ["z", "t + 11", "t + 42"], ["t", "l + 11", "l + 53"], ["l", "a + 10", "a + 63"], ["a", "v + 7", "v + 70"], ["v", 8, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"v": 8}, "is_reverse": true}} | 13,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 6; z = t + 11; v = 8; l = a + 10; t = l + 11; a = v + 7; f = d + 4; d = v + 14; n = z + 12; m = f + 9; p = s + 2; h = n + 19; x = m + 6. If v = 8, determine 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 n = z + 12 to h, which gives h = z + 31.\n2. Substitute z = t + 11 to h, which gives h = t + 42.\n3. Substitute t = l + 11 to h, which gives h = l + 53.\n4. Substitute l = a + 10 to h, which gives h = a + 63.\n5. Substitute a = v + 7 to h, which gives h = v + 70.\n6. Substitute v = 8 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 13582,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 6; z = t + 11; v = 8; l = a + 10; t = l + 11; a = v + 7; f = d + 4; d = v + 14; n = z + 12; m = f + 9; p = s + 2; h = n + 19; x = m + 6. If v = 8, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 3", "g": "f + 4", "h": "g + 18", "r": "h + 2", "e": "r + 7", "b": "e + 7", "o": "m + 3", "q": "o + 2", "w": "q + 16", "s": "w + 15", "k": "s + 17", "y": "k + 16", "m": 5}, "premises": {"m": 5}, "target": "b"}, "answer": {"steps": [["e", "r + 7", "r + 14"], ["r", "h + 2", "h + 16"], ["h", "g + 18", "g + 34"], ["g", "f + 4", "f + 38"], ["f", "m + 3", "m + 41"], ["m", 5, "46"]], "target_var_name": "b", "target_value": 46, "value_dict": {"m": 5}, "is_reverse": true}} | 13,583 | 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; h = g + 18; f = m + 3; o = m + 3; r = h + 2; b = e + 7; g = f + 4; y = k + 16; s = w + 15; m = 5; e = r + 7; w = q + 16; k = s + 17. If m = 5, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 7 to b, which gives b = r + 14.\n2. Substitute r = h + 2 to b, which gives b = h + 16.\n3. Substitute h = g + 18 to b, which gives b = g + 34.\n4. Substitute g = f + 4 to b, which gives b = f + 38.\n5. Substitute f = m + 3 to b, which gives b = m + 41.\n6. Substitute m = 5 to b, which gives b = 46.\n\nThus, the final answer is b = \\boxed{46}.",
"index": 13583,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 2; h = g + 18; f = m + 3; o = m + 3; r = h + 2; b = e + 7; g = f + 4; y = k + 16; s = w + 15; m = 5; e = r + 7; w = q + 16; k = s + 17. If m = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 3", "w": "q + 8", "o": "w + 18", "e": "o + 11", "v": "e + 20", "f": "v + 7", "h": "x + 9", "p": "h + 20", "z": "p + 10", "y": "z + 4", "u": "y + 19", "d": "u + 11", "x": 11}, "premises": {"x": 11}, "target": "f"}, "answer": {"steps": [["v", "e + 20", "e + 27"], ["e", "o + 11", "o + 38"], ["o", "w + 18", "w + 56"], ["w", "q + 8", "q + 64"], ["q", "x + 3", "x + 67"], ["x", 11, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"x": 11}, "is_reverse": true}} | 13,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 3; y = z + 4; h = x + 9; d = u + 11; o = w + 18; v = e + 20; z = p + 10; u = y + 19; w = q + 8; p = h + 20; e = o + 11; x = 11; f = v + 7. Given that x = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 20 to f, which gives f = e + 27.\n2. Substitute e = o + 11 to f, which gives f = o + 38.\n3. Substitute o = w + 18 to f, which gives f = w + 56.\n4. Substitute w = q + 8 to f, which gives f = q + 64.\n5. Substitute q = x + 3 to f, which gives f = x + 67.\n6. Substitute x = 11 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 13584,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 3; y = z + 4; h = x + 9; d = u + 11; o = w + 18; v = e + 20; z = p + 10; u = y + 19; w = q + 8; p = h + 20; e = o + 11; x = 11; f = v + 7. Given that x = 11, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 1", "b": "i + 9", "f": "b + 12", "l": "f + 3", "s": "l + 19", "q": "s + 19", "j": "u + 1", "x": "j + 2", "m": "x + 10", "z": "m + 13", "g": "z + 13", "v": "g + 1", "u": 1}, "premises": {"u": 1}, "target": "q"}, "answer": {"steps": [["s", "l + 19", "l + 38"], ["l", "f + 3", "f + 41"], ["f", "b + 12", "b + 53"], ["b", "i + 9", "i + 62"], ["i", "u + 1", "u + 63"], ["u", 1, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"u": 1}, "is_reverse": true}} | 13,585 | 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 = m + 13; f = b + 12; s = l + 19; q = s + 19; j = u + 1; u = 1; x = j + 2; b = i + 9; i = u + 1; g = z + 13; m = x + 10; v = g + 1; l = f + 3. If u = 1, 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 s = l + 19 to q, which gives q = l + 38.\n2. Substitute l = f + 3 to q, which gives q = f + 41.\n3. Substitute f = b + 12 to q, which gives q = b + 53.\n4. Substitute b = i + 9 to q, which gives q = i + 62.\n5. Substitute i = u + 1 to q, which gives q = u + 63.\n6. Substitute u = 1 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 13585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 13; f = b + 12; s = l + 19; q = s + 19; j = u + 1; u = 1; x = j + 2; b = i + 9; i = u + 1; g = z + 13; m = x + 10; v = g + 1; l = f + 3. If u = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 4", "d": "c + 16", "t": "d + 14", "y": "t + 12", "k": "y + 6", "a": "k + 14", "v": "z + 9", "f": "v + 6", "m": "f + 19", "w": "m + 7", "l": "w + 15", "s": "l + 11", "z": 14}, "premises": {"z": 14}, "target": "a"}, "answer": {"steps": [["k", "y + 6", "y + 20"], ["y", "t + 12", "t + 32"], ["t", "d + 14", "d + 46"], ["d", "c + 16", "c + 62"], ["c", "z + 4", "z + 66"], ["z", 14, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"z": 14}, "is_reverse": true}} | 13,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 19; s = l + 11; k = y + 6; t = d + 14; a = k + 14; l = w + 15; v = z + 9; c = z + 4; z = 14; y = t + 12; d = c + 16; f = v + 6; w = m + 7. If z = 14, what is the resulting value of a?",
"role": "use... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 6 to a, which gives a = y + 20.\n2. Substitute y = t + 12 to a, which gives a = t + 32.\n3. Substitute t = d + 14 to a, which gives a = d + 46.\n4. Substitute d = c + 16 to a, which gives a = c + 62.\n5. Substitute c = z + 4 to a, which gives a = z + 66.\n6. Substitute z = 14 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 13586,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 19; s = l + 11; k = y + 6; t = d + 14; a = k + 14; l = w + 15; v = z + 9; c = z + 4; z = 14; y = t + 12; d = c + 16; f = v + 6; w = m + 7. If z = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 5", "p": "z + 2", "h": "p + 16", "w": "h + 5", "i": "w + 18", "l": "i + 13", "k": "t + 8", "b": "k + 5", "y": "b + 5", "e": "y + 13", "o": "e + 7", "u": "o + 17", "t": 2}, "premises": {"t": 2}, "target": "l"}, "answer": {"steps": [["i", "w + 18", "w + 31"], ["w", "h + 5", "h + 36"], ["h", "p + 16", "p + 52"], ["p", "z + 2", "z + 54"], ["z", "t + 5", "t + 59"], ["t", 2, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"t": 2}, "is_reverse": true}} | 13,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 13; k = t + 8; u = o + 17; z = t + 5; w = h + 5; t = 2; i = w + 18; h = p + 16; y = b + 5; b = k + 5; o = e + 7; l = i + 13; p = z + 2. Given that t = 2, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 18 to l, which gives l = w + 31.\n2. Substitute w = h + 5 to l, which gives l = h + 36.\n3. Substitute h = p + 16 to l, which gives l = p + 52.\n4. Substitute p = z + 2 to l, which gives l = z + 54.\n5. Substitute z = t + 5 to l, which gives l = t + 59.\n6. Substitute t = 2 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 13587,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 13; k = t + 8; u = o + 17; z = t + 5; w = h + 5; t = 2; i = w + 18; h = p + 16; y = b + 5; b = k + 5; o = e + 7; l = i + 13; p = z + 2. Given that t = 2, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 13", "d": "b + 6", "t": "d + 19", "p": "t + 13", "x": "p + 16", "v": "x + 6", "m": "q + 11", "w": "m + 15", "l": "w + 20", "a": "l + 3", "s": "a + 14", "e": "s + 8", "q": 12}, "premises": {"q": 12}, "target": "v"}, "answer": {"steps": [["x", "p + 16", "p + 22"], ["p", "t + 13", "t + 35"], ["t", "d + 19", "d + 54"], ["d", "b + 6", "b + 60"], ["b", "q + 13", "q + 73"], ["q", 12, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"q": 12}, "is_reverse": true}} | 13,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 14; b = q + 13; l = w + 20; q = 12; m = q + 11; e = s + 8; p = t + 13; a = l + 3; t = d + 19; d = b + 6; v = x + 6; w = m + 15; x = p + 16. If q = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 16 to v, which gives v = p + 22.\n2. Substitute p = t + 13 to v, which gives v = t + 35.\n3. Substitute t = d + 19 to v, which gives v = d + 54.\n4. Substitute d = b + 6 to v, which gives v = b + 60.\n5. Substitute b = q + 13 to v, which gives v = q + 73.\n6. Substitute q = 12 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 13588,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 14; b = q + 13; l = w + 20; q = 12; m = q + 11; e = s + 8; p = t + 13; a = l + 3; t = d + 19; d = b + 6; v = x + 6; w = m + 15; x = p + 16. If q = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 8", "m": "s + 15", "q": "m + 1", "i": "q + 17", "p": "i + 1", "t": "p + 1", "j": "f + 20", "v": "j + 5", "g": "v + 20", "z": "g + 12", "l": "z + 17", "d": "l + 1", "f": 15}, "premises": {"f": 15}, "target": "t"}, "answer": {"steps": [["p", "i + 1", "i + 2"], ["i", "q + 17", "q + 19"], ["q", "m + 1", "m + 20"], ["m", "s + 15", "s + 35"], ["s", "f + 8", "f + 43"], ["f", 15, "58"]], "target_var_name": "t", "target_value": 58, "value_dict": {"f": 15}, "is_reverse": true}} | 13,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 20; i = q + 17; z = g + 12; j = f + 20; m = s + 15; t = p + 1; l = z + 17; f = 15; q = m + 1; v = j + 5; s = f + 8; p = i + 1; d = l + 1. If f = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 1 to t, which gives t = i + 2.\n2. Substitute i = q + 17 to t, which gives t = q + 19.\n3. Substitute q = m + 1 to t, which gives t = m + 20.\n4. Substitute m = s + 15 to t, which gives t = s + 35.\n5. Substitute s = f + 8 to t, which gives t = f + 43.\n6. Substitute f = 15 to t, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 13589,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 20; i = q + 17; z = g + 12; j = f + 20; m = s + 15; t = p + 1; l = z + 17; f = 15; q = m + 1; v = j + 5; s = f + 8; p = i + 1; d = l + 1. If f = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 20", "r": "d + 15", "a": "r + 15", "g": "a + 6", "w": "g + 9", "v": "w + 16", "k": "f + 18", "h": "k + 5", "q": "h + 7", "x": "q + 2", "t": "x + 13", "l": "t + 16", "f": 2}, "premises": {"f": 2}, "target": "v"}, "answer": {"steps": [["w", "g + 9", "g + 25"], ["g", "a + 6", "a + 31"], ["a", "r + 15", "r + 46"], ["r", "d + 15", "d + 61"], ["d", "f + 20", "f + 81"], ["f", 2, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"f": 2}, "is_reverse": true}} | 13,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 20; w = g + 9; l = t + 16; r = d + 15; x = q + 2; a = r + 15; q = h + 7; k = f + 18; h = k + 5; g = a + 6; t = x + 13; f = 2; v = w + 16. Given that f = 2, find 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 w = g + 9 to v, which gives v = g + 25.\n2. Substitute g = a + 6 to v, which gives v = a + 31.\n3. Substitute a = r + 15 to v, which gives v = r + 46.\n4. Substitute r = d + 15 to v, which gives v = d + 61.\n5. Substitute d = f + 20 to v, which gives v = f + 81.\n6. Substitute f = 2 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 13590,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 20; w = g + 9; l = t + 16; r = d + 15; x = q + 2; a = r + 15; q = h + 7; k = f + 18; h = k + 5; g = a + 6; t = x + 13; f = 2; v = w + 16. Given that f = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 12", "v": "p + 5", "q": "v + 14", "y": "q + 18", "j": "y + 14", "d": "j + 6", "g": "o + 10", "n": "g + 19", "s": "n + 8", "u": "s + 19", "a": "u + 19", "z": "a + 18", "o": 12}, "premises": {"o": 12}, "target": "d"}, "answer": {"steps": [["j", "y + 14", "y + 20"], ["y", "q + 18", "q + 38"], ["q", "v + 14", "v + 52"], ["v", "p + 5", "p + 57"], ["p", "o + 12", "o + 69"], ["o", 12, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"o": 12}, "is_reverse": true}} | 13,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 8; o = 12; u = s + 19; a = u + 19; z = a + 18; g = o + 10; q = v + 14; j = y + 14; v = p + 5; p = o + 12; n = g + 19; y = q + 18; d = j + 6. Given that o = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 14 to d, which gives d = y + 20.\n2. Substitute y = q + 18 to d, which gives d = q + 38.\n3. Substitute q = v + 14 to d, which gives d = v + 52.\n4. Substitute v = p + 5 to d, which gives d = p + 57.\n5. Substitute p = o + 12 to d, which gives d = o + 69.\n6. Substitute o = 12 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 13591,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 8; o = 12; u = s + 19; a = u + 19; z = a + 18; g = o + 10; q = v + 14; j = y + 14; v = p + 5; p = o + 12; n = g + 19; y = q + 18; d = j + 6. Given that o = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 5", "c": "e + 2", "w": "c + 17", "t": "w + 7", "h": "t + 14", "u": "h + 4", "o": "i + 3", "y": "o + 10", "v": "y + 12", "m": "v + 10", "j": "m + 20", "r": "j + 11", "i": 18}, "premises": {"i": 18}, "target": "u"}, "answer": {"steps": [["h", "t + 14", "t + 18"], ["t", "w + 7", "w + 25"], ["w", "c + 17", "c + 42"], ["c", "e + 2", "e + 44"], ["e", "i + 5", "i + 49"], ["i", 18, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"i": 18}, "is_reverse": true}} | 13,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = j + 11; c = e + 2; i = 18; m = v + 10; h = t + 14; t = w + 7; w = c + 17; j = m + 20; y = o + 10; u = h + 4; o = i + 3; v = y + 12; e = i + 5. Given that i = 18, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 14 to u, which gives u = t + 18.\n2. Substitute t = w + 7 to u, which gives u = w + 25.\n3. Substitute w = c + 17 to u, which gives u = c + 42.\n4. Substitute c = e + 2 to u, which gives u = e + 44.\n5. Substitute e = i + 5 to u, which gives u = i + 49.\n6. Substitute i = 18 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 13592,
"question": "Suppose a collection of variables is related by the following definitions: r = j + 11; c = e + 2; i = 18; m = v + 10; h = t + 14; t = w + 7; w = c + 17; j = m + 20; y = o + 10; u = h + 4; o = i + 3; v = y + 12; e = i + 5. Given that i = 18, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 14", "l": "y + 9", "q": "l + 15", "j": "q + 15", "c": "j + 16", "f": "c + 18", "p": "h + 18", "a": "p + 10", "u": "a + 11", "n": "u + 20", "b": "n + 9", "t": "b + 12", "h": 9}, "premises": {"h": 9}, "target": "f"}, "answer": {"steps": [["c", "j + 16", "j + 34"], ["j", "q + 15", "q + 49"], ["q", "l + 15", "l + 64"], ["l", "y + 9", "y + 73"], ["y", "h + 14", "h + 87"], ["h", 9, "96"]], "target_var_name": "f", "target_value": 96, "value_dict": {"h": 9}, "is_reverse": true}} | 13,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 18; t = b + 12; q = l + 15; n = u + 20; c = j + 16; f = c + 18; l = y + 9; y = h + 14; u = a + 11; b = n + 9; a = p + 10; j = q + 15; h = 9. If h = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 16 to f, which gives f = j + 34.\n2. Substitute j = q + 15 to f, which gives f = q + 49.\n3. Substitute q = l + 15 to f, which gives f = l + 64.\n4. Substitute l = y + 9 to f, which gives f = y + 73.\n5. Substitute y = h + 14 to f, which gives f = h + 87.\n6. Substitute h = 9 to f, which gives f = 96.\n\nThus, the final answer is f = \\boxed{96}.",
"index": 13593,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 18; t = b + 12; q = l + 15; n = u + 20; c = j + 16; f = c + 18; l = y + 9; y = h + 14; u = a + 11; b = n + 9; a = p + 10; j = q + 15; h = 9. If h = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 15", "r": "s + 18", "n": "r + 9", "b": "n + 20", "a": "b + 20", "d": "a + 14", "p": "m + 7", "v": "p + 14", "g": "v + 19", "h": "g + 4", "x": "h + 5", "e": "x + 10", "m": 9}, "premises": {"m": 9}, "target": "d"}, "answer": {"steps": [["a", "b + 20", "b + 34"], ["b", "n + 20", "n + 54"], ["n", "r + 9", "r + 63"], ["r", "s + 18", "s + 81"], ["s", "m + 15", "m + 96"], ["m", 9, "105"]], "target_var_name": "d", "target_value": 105, "value_dict": {"m": 9}, "is_reverse": true}} | 13,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 4; a = b + 20; x = h + 5; r = s + 18; s = m + 15; g = v + 19; m = 9; d = a + 14; e = x + 10; p = m + 7; v = p + 14; n = r + 9; b = n + 20. Given that m = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 20 to d, which gives d = b + 34.\n2. Substitute b = n + 20 to d, which gives d = n + 54.\n3. Substitute n = r + 9 to d, which gives d = r + 63.\n4. Substitute r = s + 18 to d, which gives d = s + 81.\n5. Substitute s = m + 15 to d, which gives d = m + 96.\n6. Substitute m = 9 to d, which gives d = 105.\n\nThus, the final answer is d = \\boxed{105}.",
"index": 13594,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 4; a = b + 20; x = h + 5; r = s + 18; s = m + 15; g = v + 19; m = 9; d = a + 14; e = x + 10; p = m + 7; v = p + 14; n = r + 9; b = n + 20. Given that m = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 3", "k": "b + 8", "e": "k + 9", "v": "e + 14", "h": "v + 16", "o": "h + 5", "g": "c + 15", "i": "g + 20", "s": "i + 7", "q": "s + 19", "f": "q + 3", "a": "f + 16", "c": 18}, "premises": {"c": 18}, "target": "o"}, "answer": {"steps": [["h", "v + 16", "v + 21"], ["v", "e + 14", "e + 35"], ["e", "k + 9", "k + 44"], ["k", "b + 8", "b + 52"], ["b", "c + 3", "c + 55"], ["c", 18, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"c": 18}, "is_reverse": true}} | 13,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 20; k = b + 8; s = i + 7; q = s + 19; c = 18; a = f + 16; f = q + 3; b = c + 3; v = e + 14; e = k + 9; g = c + 15; o = h + 5; h = v + 16. If c = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 16 to o, which gives o = v + 21.\n2. Substitute v = e + 14 to o, which gives o = e + 35.\n3. Substitute e = k + 9 to o, which gives o = k + 44.\n4. Substitute k = b + 8 to o, which gives o = b + 52.\n5. Substitute b = c + 3 to o, which gives o = c + 55.\n6. Substitute c = 18 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 13595,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 20; k = b + 8; s = i + 7; q = s + 19; c = 18; a = f + 16; f = q + 3; b = c + 3; v = e + 14; e = k + 9; g = c + 15; o = h + 5; h = v + 16. If c = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 8", "e": "p + 10", "u": "e + 5", "m": "u + 10", "a": "m + 17", "n": "a + 7", "v": "g + 17", "h": "v + 5", "c": "h + 17", "z": "c + 19", "q": "z + 6", "f": "q + 14", "g": 12}, "premises": {"g": 12}, "target": "n"}, "answer": {"steps": [["a", "m + 17", "m + 24"], ["m", "u + 10", "u + 34"], ["u", "e + 5", "e + 39"], ["e", "p + 10", "p + 49"], ["p", "g + 8", "g + 57"], ["g", 12, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"g": 12}, "is_reverse": true}} | 13,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 10; n = a + 7; u = e + 5; a = m + 17; z = c + 19; h = v + 5; g = 12; c = h + 17; q = z + 6; p = g + 8; f = q + 14; v = g + 17; m = u + 10. If g = 12, 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 a = m + 17 to n, which gives n = m + 24.\n2. Substitute m = u + 10 to n, which gives n = u + 34.\n3. Substitute u = e + 5 to n, which gives n = e + 39.\n4. Substitute e = p + 10 to n, which gives n = p + 49.\n5. Substitute p = g + 8 to n, which gives n = g + 57.\n6. Substitute g = 12 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 13596,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 10; n = a + 7; u = e + 5; a = m + 17; z = c + 19; h = v + 5; g = 12; c = h + 17; q = z + 6; p = g + 8; f = q + 14; v = g + 17; m = u + 10. If g = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 6", "m": "o + 9", "q": "m + 13", "p": "q + 19", "h": "p + 10", "y": "h + 4", "a": "s + 8", "x": "a + 20", "n": "x + 16", "z": "n + 5", "l": "z + 18", "v": "l + 20", "s": 12}, "premises": {"s": 12}, "target": "y"}, "answer": {"steps": [["h", "p + 10", "p + 14"], ["p", "q + 19", "q + 33"], ["q", "m + 13", "m + 46"], ["m", "o + 9", "o + 55"], ["o", "s + 6", "s + 61"], ["s", 12, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"s": 12}, "is_reverse": true}} | 13,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 5; h = p + 10; o = s + 6; m = o + 9; x = a + 20; y = h + 4; a = s + 8; l = z + 18; p = q + 19; q = m + 13; n = x + 16; v = l + 20; s = 12. Given that s = 12, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 10 to y, which gives y = p + 14.\n2. Substitute p = q + 19 to y, which gives y = q + 33.\n3. Substitute q = m + 13 to y, which gives y = m + 46.\n4. Substitute m = o + 9 to y, which gives y = o + 55.\n5. Substitute o = s + 6 to y, which gives y = s + 61.\n6. Substitute s = 12 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 13597,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 5; h = p + 10; o = s + 6; m = o + 9; x = a + 20; y = h + 4; a = s + 8; l = z + 18; p = q + 19; q = m + 13; n = x + 16; v = l + 20; s = 12. Given that s = 12, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 3", "b": "u + 20", "r": "b + 2", "z": "r + 8", "d": "z + 1", "y": "d + 15", "f": "c + 6", "w": "f + 1", "v": "w + 16", "q": "v + 14", "j": "q + 7", "o": "j + 19", "c": 2}, "premises": {"c": 2}, "target": "y"}, "answer": {"steps": [["d", "z + 1", "z + 16"], ["z", "r + 8", "r + 24"], ["r", "b + 2", "b + 26"], ["b", "u + 20", "u + 46"], ["u", "c + 3", "c + 49"], ["c", 2, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"c": 2}, "is_reverse": true}} | 13,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 2; o = j + 19; j = q + 7; y = d + 15; v = w + 16; w = f + 1; f = c + 6; r = b + 2; z = r + 8; b = u + 20; u = c + 3; q = v + 14; d = z + 1. Given that c = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 1 to y, which gives y = z + 16.\n2. Substitute z = r + 8 to y, which gives y = r + 24.\n3. Substitute r = b + 2 to y, which gives y = b + 26.\n4. Substitute b = u + 20 to y, which gives y = u + 46.\n5. Substitute u = c + 3 to y, which gives y = c + 49.\n6. Substitute c = 2 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 13598,
"question": "Suppose a collection of variables is related by the following definitions: c = 2; o = j + 19; j = q + 7; y = d + 15; v = w + 16; w = f + 1; f = c + 6; r = b + 2; z = r + 8; b = u + 20; u = c + 3; q = v + 14; d = z + 1. Given that c = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 15", "m": "w + 8", "u": "m + 2", "y": "u + 5", "d": "y + 8", "s": "d + 20", "e": "l + 1", "q": "e + 9", "p": "q + 18", "x": "p + 7", "g": "x + 2", "a": "g + 15", "l": 14}, "premises": {"l": 14}, "target": "s"}, "answer": {"steps": [["d", "y + 8", "y + 28"], ["y", "u + 5", "u + 33"], ["u", "m + 2", "m + 35"], ["m", "w + 8", "w + 43"], ["w", "l + 15", "l + 58"], ["l", 14, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"l": 14}, "is_reverse": true}} | 13,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 1; l = 14; d = y + 8; p = q + 18; m = w + 8; a = g + 15; q = e + 9; w = l + 15; y = u + 5; u = m + 2; s = d + 20; x = p + 7; g = x + 2. If l = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 8 to s, which gives s = y + 28.\n2. Substitute y = u + 5 to s, which gives s = u + 33.\n3. Substitute u = m + 2 to s, which gives s = m + 35.\n4. Substitute m = w + 8 to s, which gives s = w + 43.\n5. Substitute w = l + 15 to s, which gives s = l + 58.\n6. Substitute l = 14 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 13599,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 1; l = 14; d = y + 8; p = q + 18; m = w + 8; a = g + 15; q = e + 9; w = l + 15; y = u + 5; u = m + 2; s = d + 20; x = p + 7; g = x + 2. If l = 14, determine the value of s.",
"split": "train"
} |
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