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": {"q": "c + 9", "i": "q + 12", "l": "i + 11", "x": "l + 20", "f": "x + 8", "r": "f + 3", "t": "c + 6", "k": "t + 6", "d": "k + 19", "a": "d + 19", "y": "a + 7", "p": "y + 3", "c": 17}, "premises": {"c": 17}, "target": "r"}, "answer": {"steps": [["f", "x + 8", "x + 11"], ["x", "l + 20", "l + 31"], ["l", "i + 11", "i + 42"], ["i", "q + 12", "q + 54"], ["q", "c + 9", "c + 63"], ["c", 17, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"c": 17}, "is_reverse": true}} | 12,500 | 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 = t + 6; d = k + 19; i = q + 12; y = a + 7; l = i + 11; p = y + 3; q = c + 9; c = 17; t = c + 6; f = x + 8; x = l + 20; a = d + 19; r = f + 3. If c = 17, what is the resulting 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 f = x + 8 to r, which gives r = x + 11.\n2. Substitute x = l + 20 to r, which gives r = l + 31.\n3. Substitute l = i + 11 to r, which gives r = i + 42.\n4. Substitute i = q + 12 to r, which gives r = q + 54.\n5. Substitute q = c + 9 to r, which gives r = c + 63.\n6. Substitute c = 17 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 12500,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 6; d = k + 19; i = q + 12; y = a + 7; l = i + 11; p = y + 3; q = c + 9; c = 17; t = c + 6; f = x + 8; x = l + 20; a = d + 19; r = f + 3. If c = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 1", "y": "r + 4", "b": "y + 19", "d": "b + 7", "z": "d + 11", "l": "z + 5", "p": "i + 7", "s": "p + 12", "q": "s + 8", "t": "q + 14", "w": "t + 4", "j": "w + 5", "i": 7}, "premises": {"i": 7}, "target": "l"}, "answer": {"steps": [["z", "d + 11", "d + 16"], ["d", "b + 7", "b + 23"], ["b", "y + 19", "y + 42"], ["y", "r + 4", "r + 46"], ["r", "i + 1", "i + 47"], ["i", 7, "54"]], "target_var_name": "l", "target_value": 54, "value_dict": {"i": 7}, "is_reverse": true}} | 12,501 | 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 = r + 4; p = i + 7; d = b + 7; r = i + 1; b = y + 19; s = p + 12; q = s + 8; t = q + 14; l = z + 5; w = t + 4; z = d + 11; j = w + 5; i = 7. If i = 7, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 11 to l, which gives l = d + 16.\n2. Substitute d = b + 7 to l, which gives l = b + 23.\n3. Substitute b = y + 19 to l, which gives l = y + 42.\n4. Substitute y = r + 4 to l, which gives l = r + 46.\n5. Substitute r = i + 1 to l, which gives l = i + 47.\n6. Substitute i = 7 to l, which gives l = 54.\n\nThus, the final answer is l = \\boxed{54}.",
"index": 12501,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 4; p = i + 7; d = b + 7; r = i + 1; b = y + 19; s = p + 12; q = s + 8; t = q + 14; l = z + 5; w = t + 4; z = d + 11; j = w + 5; i = 7. If i = 7, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 10", "a": "l + 8", "o": "a + 7", "u": "o + 7", "h": "u + 7", "i": "h + 4", "b": "d + 3", "e": "b + 2", "f": "e + 20", "p": "f + 15", "c": "p + 13", "n": "c + 7", "d": 3}, "premises": {"d": 3}, "target": "i"}, "answer": {"steps": [["h", "u + 7", "u + 11"], ["u", "o + 7", "o + 18"], ["o", "a + 7", "a + 25"], ["a", "l + 8", "l + 33"], ["l", "d + 10", "d + 43"], ["d", 3, "46"]], "target_var_name": "i", "target_value": 46, "value_dict": {"d": 3}, "is_reverse": true}} | 12,502 | 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 = u + 7; e = b + 2; o = a + 7; n = c + 7; d = 3; c = p + 13; i = h + 4; p = f + 15; u = o + 7; b = d + 3; f = e + 20; l = d + 10; a = l + 8. If d = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 7 to i, which gives i = u + 11.\n2. Substitute u = o + 7 to i, which gives i = o + 18.\n3. Substitute o = a + 7 to i, which gives i = a + 25.\n4. Substitute a = l + 8 to i, which gives i = l + 33.\n5. Substitute l = d + 10 to i, which gives i = d + 43.\n6. Substitute d = 3 to i, which gives i = 46.\n\nThus, the final answer is i = \\boxed{46}.",
"index": 12502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 7; e = b + 2; o = a + 7; n = c + 7; d = 3; c = p + 13; i = h + 4; p = f + 15; u = o + 7; b = d + 3; f = e + 20; l = d + 10; a = l + 8. If d = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 20", "h": "r + 12", "w": "h + 7", "j": "w + 4", "b": "j + 2", "t": "b + 4", "a": "c + 9", "l": "a + 12", "u": "l + 2", "e": "u + 16", "p": "e + 14", "m": "p + 15", "c": 5}, "premises": {"c": 5}, "target": "t"}, "answer": {"steps": [["b", "j + 2", "j + 6"], ["j", "w + 4", "w + 10"], ["w", "h + 7", "h + 17"], ["h", "r + 12", "r + 29"], ["r", "c + 20", "c + 49"], ["c", 5, "54"]], "target_var_name": "t", "target_value": 54, "value_dict": {"c": 5}, "is_reverse": true}} | 12,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 12; l = a + 12; a = c + 9; p = e + 14; j = w + 4; r = c + 20; t = b + 4; w = h + 7; e = u + 16; u = l + 2; m = p + 15; b = j + 2; c = 5. If c = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 2 to t, which gives t = j + 6.\n2. Substitute j = w + 4 to t, which gives t = w + 10.\n3. Substitute w = h + 7 to t, which gives t = h + 17.\n4. Substitute h = r + 12 to t, which gives t = r + 29.\n5. Substitute r = c + 20 to t, which gives t = c + 49.\n6. Substitute c = 5 to t, which gives t = 54.\n\nThus, the final answer is t = \\boxed{54}.",
"index": 12503,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 12; l = a + 12; a = c + 9; p = e + 14; j = w + 4; r = c + 20; t = b + 4; w = h + 7; e = u + 16; u = l + 2; m = p + 15; b = j + 2; c = 5. If c = 5, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 16", "x": "o + 19", "n": "x + 17", "z": "n + 18", "j": "z + 6", "u": "j + 14", "k": "e + 12", "f": "k + 15", "y": "f + 8", "h": "y + 1", "s": "h + 14", "l": "s + 2", "e": 7}, "premises": {"e": 7}, "target": "u"}, "answer": {"steps": [["j", "z + 6", "z + 20"], ["z", "n + 18", "n + 38"], ["n", "x + 17", "x + 55"], ["x", "o + 19", "o + 74"], ["o", "e + 16", "e + 90"], ["e", 7, "97"]], "target_var_name": "u", "target_value": 97, "value_dict": {"e": 7}, "is_reverse": true}} | 12,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 15; n = x + 17; y = f + 8; s = h + 14; o = e + 16; k = e + 12; l = s + 2; x = o + 19; z = n + 18; h = y + 1; j = z + 6; u = j + 14; e = 7. If e = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 6 to u, which gives u = z + 20.\n2. Substitute z = n + 18 to u, which gives u = n + 38.\n3. Substitute n = x + 17 to u, which gives u = x + 55.\n4. Substitute x = o + 19 to u, which gives u = o + 74.\n5. Substitute o = e + 16 to u, which gives u = e + 90.\n6. Substitute e = 7 to u, which gives u = 97.\n\nThus, the final answer is u = \\boxed{97}.",
"index": 12504,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 15; n = x + 17; y = f + 8; s = h + 14; o = e + 16; k = e + 12; l = s + 2; x = o + 19; z = n + 18; h = y + 1; j = z + 6; u = j + 14; e = 7. If e = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 7", "p": "z + 5", "q": "p + 13", "m": "q + 3", "i": "m + 5", "d": "i + 15", "u": "c + 11", "f": "u + 6", "k": "f + 18", "w": "k + 14", "r": "w + 9", "n": "r + 16", "c": 12}, "premises": {"c": 12}, "target": "d"}, "answer": {"steps": [["i", "m + 5", "m + 20"], ["m", "q + 3", "q + 23"], ["q", "p + 13", "p + 36"], ["p", "z + 5", "z + 41"], ["z", "c + 7", "c + 48"], ["c", 12, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"c": 12}, "is_reverse": true}} | 12,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 5; n = r + 16; i = m + 5; w = k + 14; m = q + 3; c = 12; q = p + 13; u = c + 11; z = c + 7; k = f + 18; d = i + 15; f = u + 6; r = w + 9. If c = 12, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 5 to d, which gives d = m + 20.\n2. Substitute m = q + 3 to d, which gives d = q + 23.\n3. Substitute q = p + 13 to d, which gives d = p + 36.\n4. Substitute p = z + 5 to d, which gives d = z + 41.\n5. Substitute z = c + 7 to d, which gives d = c + 48.\n6. Substitute c = 12 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 12505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 5; n = r + 16; i = m + 5; w = k + 14; m = q + 3; c = 12; q = p + 13; u = c + 11; z = c + 7; k = f + 18; d = i + 15; f = u + 6; r = w + 9. If c = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 3", "d": "m + 3", "i": "d + 12", "n": "i + 2", "b": "n + 5", "t": "b + 17", "p": "l + 7", "y": "p + 7", "h": "y + 6", "x": "h + 13", "r": "x + 1", "j": "r + 3", "l": 8}, "premises": {"l": 8}, "target": "t"}, "answer": {"steps": [["b", "n + 5", "n + 22"], ["n", "i + 2", "i + 24"], ["i", "d + 12", "d + 36"], ["d", "m + 3", "m + 39"], ["m", "l + 3", "l + 42"], ["l", 8, "50"]], "target_var_name": "t", "target_value": 50, "value_dict": {"l": 8}, "is_reverse": true}} | 12,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 5; m = l + 3; p = l + 7; x = h + 13; h = y + 6; l = 8; n = i + 2; i = d + 12; y = p + 7; d = m + 3; r = x + 1; j = r + 3; t = b + 17. Given that l = 8, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 5 to t, which gives t = n + 22.\n2. Substitute n = i + 2 to t, which gives t = i + 24.\n3. Substitute i = d + 12 to t, which gives t = d + 36.\n4. Substitute d = m + 3 to t, which gives t = m + 39.\n5. Substitute m = l + 3 to t, which gives t = l + 42.\n6. Substitute l = 8 to t, which gives t = 50.\n\nThus, the final answer is t = \\boxed{50}.",
"index": 12506,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 5; m = l + 3; p = l + 7; x = h + 13; h = y + 6; l = 8; n = i + 2; i = d + 12; y = p + 7; d = m + 3; r = x + 1; j = r + 3; t = b + 17. Given that l = 8, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 5", "i": "x + 9", "l": "i + 1", "t": "l + 13", "o": "t + 11", "u": "o + 12", "n": "a + 8", "f": "n + 20", "k": "f + 19", "j": "k + 5", "e": "j + 19", "y": "e + 16", "a": 17}, "premises": {"a": 17}, "target": "u"}, "answer": {"steps": [["o", "t + 11", "t + 23"], ["t", "l + 13", "l + 36"], ["l", "i + 1", "i + 37"], ["i", "x + 9", "x + 46"], ["x", "a + 5", "a + 51"], ["a", 17, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"a": 17}, "is_reverse": true}} | 12,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 19; a = 17; u = o + 12; j = k + 5; o = t + 11; l = i + 1; x = a + 5; e = j + 19; y = e + 16; i = x + 9; f = n + 20; t = l + 13; n = a + 8. If a = 17, determine the 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 o = t + 11 to u, which gives u = t + 23.\n2. Substitute t = l + 13 to u, which gives u = l + 36.\n3. Substitute l = i + 1 to u, which gives u = i + 37.\n4. Substitute i = x + 9 to u, which gives u = x + 46.\n5. Substitute x = a + 5 to u, which gives u = a + 51.\n6. Substitute a = 17 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 12507,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 19; a = 17; u = o + 12; j = k + 5; o = t + 11; l = i + 1; x = a + 5; e = j + 19; y = e + 16; i = x + 9; f = n + 20; t = l + 13; n = a + 8. If a = 17, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 4", "t": "y + 4", "j": "t + 12", "w": "j + 3", "o": "w + 15", "f": "o + 3", "c": "h + 5", "x": "c + 4", "s": "x + 13", "i": "s + 18", "m": "i + 1", "z": "m + 4", "h": 2}, "premises": {"h": 2}, "target": "f"}, "answer": {"steps": [["o", "w + 15", "w + 18"], ["w", "j + 3", "j + 21"], ["j", "t + 12", "t + 33"], ["t", "y + 4", "y + 37"], ["y", "h + 4", "h + 41"], ["h", 2, "43"]], "target_var_name": "f", "target_value": 43, "value_dict": {"h": 2}, "is_reverse": true}} | 12,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 4; o = w + 15; s = x + 13; j = t + 12; z = m + 4; f = o + 3; c = h + 5; y = h + 4; w = j + 3; m = i + 1; i = s + 18; t = y + 4; h = 2. Given that h = 2, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 15 to f, which gives f = w + 18.\n2. Substitute w = j + 3 to f, which gives f = j + 21.\n3. Substitute j = t + 12 to f, which gives f = t + 33.\n4. Substitute t = y + 4 to f, which gives f = y + 37.\n5. Substitute y = h + 4 to f, which gives f = h + 41.\n6. Substitute h = 2 to f, which gives f = 43.\n\nThus, the final answer is f = \\boxed{43}.",
"index": 12508,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 4; o = w + 15; s = x + 13; j = t + 12; z = m + 4; f = o + 3; c = h + 5; y = h + 4; w = j + 3; m = i + 1; i = s + 18; t = y + 4; h = 2. Given that h = 2, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 19", "p": "a + 6", "r": "p + 14", "s": "r + 9", "e": "s + 6", "x": "e + 14", "c": "q + 10", "y": "c + 2", "u": "y + 20", "d": "u + 1", "n": "d + 15", "z": "n + 18", "q": 16}, "premises": {"q": 16}, "target": "x"}, "answer": {"steps": [["e", "s + 6", "s + 20"], ["s", "r + 9", "r + 29"], ["r", "p + 14", "p + 43"], ["p", "a + 6", "a + 49"], ["a", "q + 19", "q + 68"], ["q", 16, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"q": 16}, "is_reverse": true}} | 12,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 10; q = 16; y = c + 2; e = s + 6; u = y + 20; s = r + 9; z = n + 18; p = a + 6; x = e + 14; d = u + 1; r = p + 14; n = d + 15; a = q + 19. If q = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 6 to x, which gives x = s + 20.\n2. Substitute s = r + 9 to x, which gives x = r + 29.\n3. Substitute r = p + 14 to x, which gives x = p + 43.\n4. Substitute p = a + 6 to x, which gives x = a + 49.\n5. Substitute a = q + 19 to x, which gives x = q + 68.\n6. Substitute q = 16 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 12509,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 10; q = 16; y = c + 2; e = s + 6; u = y + 20; s = r + 9; z = n + 18; p = a + 6; x = e + 14; d = u + 1; r = p + 14; n = d + 15; a = q + 19. If q = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 5", "m": "x + 1", "k": "m + 9", "h": "k + 13", "g": "h + 11", "u": "g + 1", "d": "z + 6", "n": "d + 10", "t": "n + 18", "j": "t + 4", "e": "j + 19", "y": "e + 4", "z": 8}, "premises": {"z": 8}, "target": "u"}, "answer": {"steps": [["g", "h + 11", "h + 12"], ["h", "k + 13", "k + 25"], ["k", "m + 9", "m + 34"], ["m", "x + 1", "x + 35"], ["x", "z + 5", "z + 40"], ["z", 8, "48"]], "target_var_name": "u", "target_value": 48, "value_dict": {"z": 8}, "is_reverse": true}} | 12,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 19; y = e + 4; u = g + 1; k = m + 9; j = t + 4; h = k + 13; g = h + 11; d = z + 6; x = z + 5; m = x + 1; n = d + 10; t = n + 18; z = 8. Given that z = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 11 to u, which gives u = h + 12.\n2. Substitute h = k + 13 to u, which gives u = k + 25.\n3. Substitute k = m + 9 to u, which gives u = m + 34.\n4. Substitute m = x + 1 to u, which gives u = x + 35.\n5. Substitute x = z + 5 to u, which gives u = z + 40.\n6. Substitute z = 8 to u, which gives u = 48.\n\nThus, the final answer is u = \\boxed{48}.",
"index": 12510,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 19; y = e + 4; u = g + 1; k = m + 9; j = t + 4; h = k + 13; g = h + 11; d = z + 6; x = z + 5; m = x + 1; n = d + 10; t = n + 18; z = 8. Given that z = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 12", "v": "t + 8", "u": "v + 11", "w": "u + 18", "e": "w + 20", "p": "e + 10", "h": "y + 5", "q": "h + 12", "g": "q + 3", "o": "g + 7", "l": "o + 13", "a": "l + 20", "y": 8}, "premises": {"y": 8}, "target": "p"}, "answer": {"steps": [["e", "w + 20", "w + 30"], ["w", "u + 18", "u + 48"], ["u", "v + 11", "v + 59"], ["v", "t + 8", "t + 67"], ["t", "y + 12", "y + 79"], ["y", 8, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"y": 8}, "is_reverse": true}} | 12,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 18; e = w + 20; h = y + 5; q = h + 12; g = q + 3; o = g + 7; u = v + 11; y = 8; t = y + 12; v = t + 8; p = e + 10; l = o + 13; a = l + 20. If y = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 20 to p, which gives p = w + 30.\n2. Substitute w = u + 18 to p, which gives p = u + 48.\n3. Substitute u = v + 11 to p, which gives p = v + 59.\n4. Substitute v = t + 8 to p, which gives p = t + 67.\n5. Substitute t = y + 12 to p, which gives p = y + 79.\n6. Substitute y = 8 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 12511,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 18; e = w + 20; h = y + 5; q = h + 12; g = q + 3; o = g + 7; u = v + 11; y = 8; t = y + 12; v = t + 8; p = e + 10; l = o + 13; a = l + 20. If y = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 18", "o": "y + 15", "t": "o + 11", "c": "t + 1", "g": "c + 9", "u": "g + 18", "f": "k + 3", "j": "f + 10", "l": "j + 15", "p": "l + 7", "r": "p + 19", "b": "r + 6", "k": 2}, "premises": {"k": 2}, "target": "u"}, "answer": {"steps": [["g", "c + 9", "c + 27"], ["c", "t + 1", "t + 28"], ["t", "o + 11", "o + 39"], ["o", "y + 15", "y + 54"], ["y", "k + 18", "k + 72"], ["k", 2, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"k": 2}, "is_reverse": true}} | 12,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 19; j = f + 10; t = o + 11; p = l + 7; b = r + 6; f = k + 3; k = 2; y = k + 18; l = j + 15; u = g + 18; o = y + 15; g = c + 9; c = t + 1. If k = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 9 to u, which gives u = c + 27.\n2. Substitute c = t + 1 to u, which gives u = t + 28.\n3. Substitute t = o + 11 to u, which gives u = o + 39.\n4. Substitute o = y + 15 to u, which gives u = y + 54.\n5. Substitute y = k + 18 to u, which gives u = k + 72.\n6. Substitute k = 2 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 12512,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 19; j = f + 10; t = o + 11; p = l + 7; b = r + 6; f = k + 3; k = 2; y = k + 18; l = j + 15; u = g + 18; o = y + 15; g = c + 9; c = t + 1. If k = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 18", "r": "t + 14", "h": "r + 16", "i": "h + 19", "z": "i + 8", "y": "z + 6", "c": "u + 18", "o": "c + 6", "m": "o + 9", "v": "m + 4", "n": "v + 17", "j": "n + 7", "u": 16}, "premises": {"u": 16}, "target": "y"}, "answer": {"steps": [["z", "i + 8", "i + 14"], ["i", "h + 19", "h + 33"], ["h", "r + 16", "r + 49"], ["r", "t + 14", "t + 63"], ["t", "u + 18", "u + 81"], ["u", 16, "97"]], "target_var_name": "y", "target_value": 97, "value_dict": {"u": 16}, "is_reverse": true}} | 12,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 16; h = r + 16; v = m + 4; c = u + 18; r = t + 14; n = v + 17; o = c + 6; t = u + 18; y = z + 6; z = i + 8; j = n + 7; m = o + 9; i = h + 19. Given that u = 16, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 8 to y, which gives y = i + 14.\n2. Substitute i = h + 19 to y, which gives y = h + 33.\n3. Substitute h = r + 16 to y, which gives y = r + 49.\n4. Substitute r = t + 14 to y, which gives y = t + 63.\n5. Substitute t = u + 18 to y, which gives y = u + 81.\n6. Substitute u = 16 to y, which gives y = 97.\n\nThus, the final answer is y = \\boxed{97}.",
"index": 12513,
"question": "Suppose a collection of variables is related by the following definitions: u = 16; h = r + 16; v = m + 4; c = u + 18; r = t + 14; n = v + 17; o = c + 6; t = u + 18; y = z + 6; z = i + 8; j = n + 7; m = o + 9; i = h + 19. Given that u = 16, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 16", "p": "o + 15", "n": "p + 1", "c": "n + 17", "i": "c + 9", "j": "i + 13", "k": "x + 10", "z": "k + 18", "e": "z + 9", "s": "e + 20", "w": "s + 18", "q": "w + 19", "x": 19}, "premises": {"x": 19}, "target": "j"}, "answer": {"steps": [["i", "c + 9", "c + 22"], ["c", "n + 17", "n + 39"], ["n", "p + 1", "p + 40"], ["p", "o + 15", "o + 55"], ["o", "x + 16", "x + 71"], ["x", 19, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"x": 19}, "is_reverse": true}} | 12,514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 16; q = w + 19; k = x + 10; s = e + 20; i = c + 9; z = k + 18; c = n + 17; x = 19; j = i + 13; n = p + 1; p = o + 15; e = z + 9; w = s + 18. If x = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 9 to j, which gives j = c + 22.\n2. Substitute c = n + 17 to j, which gives j = n + 39.\n3. Substitute n = p + 1 to j, which gives j = p + 40.\n4. Substitute p = o + 15 to j, which gives j = o + 55.\n5. Substitute o = x + 16 to j, which gives j = x + 71.\n6. Substitute x = 19 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 12514,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 16; q = w + 19; k = x + 10; s = e + 20; i = c + 9; z = k + 18; c = n + 17; x = 19; j = i + 13; n = p + 1; p = o + 15; e = z + 9; w = s + 18. If x = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 8", "z": "b + 14", "p": "z + 9", "h": "p + 12", "l": "h + 13", "q": "l + 16", "n": "j + 19", "e": "n + 20", "o": "e + 2", "g": "o + 1", "u": "g + 12", "s": "u + 6", "j": 3}, "premises": {"j": 3}, "target": "q"}, "answer": {"steps": [["l", "h + 13", "h + 29"], ["h", "p + 12", "p + 41"], ["p", "z + 9", "z + 50"], ["z", "b + 14", "b + 64"], ["b", "j + 8", "j + 72"], ["j", 3, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"j": 3}, "is_reverse": true}} | 12,515 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 9; u = g + 12; s = u + 6; q = l + 16; g = o + 1; n = j + 19; z = b + 14; h = p + 12; e = n + 20; l = h + 13; o = e + 2; b = j + 8; j = 3. If j = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 13 to q, which gives q = h + 29.\n2. Substitute h = p + 12 to q, which gives q = p + 41.\n3. Substitute p = z + 9 to q, which gives q = z + 50.\n4. Substitute z = b + 14 to q, which gives q = b + 64.\n5. Substitute b = j + 8 to q, which gives q = j + 72.\n6. Substitute j = 3 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 12515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 9; u = g + 12; s = u + 6; q = l + 16; g = o + 1; n = j + 19; z = b + 14; h = p + 12; e = n + 20; l = h + 13; o = e + 2; b = j + 8; j = 3. If j = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 12", "y": "c + 1", "j": "y + 2", "q": "j + 6", "k": "q + 11", "b": "k + 11", "z": "s + 10", "o": "z + 3", "a": "o + 7", "m": "a + 12", "l": "m + 11", "u": "l + 4", "s": 14}, "premises": {"s": 14}, "target": "b"}, "answer": {"steps": [["k", "q + 11", "q + 22"], ["q", "j + 6", "j + 28"], ["j", "y + 2", "y + 30"], ["y", "c + 1", "c + 31"], ["c", "s + 12", "s + 43"], ["s", 14, "57"]], "target_var_name": "b", "target_value": 57, "value_dict": {"s": 14}, "is_reverse": true}} | 12,516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 10; b = k + 11; y = c + 1; a = o + 7; c = s + 12; o = z + 3; k = q + 11; m = a + 12; q = j + 6; s = 14; u = l + 4; l = m + 11; j = y + 2. Given that s = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 11 to b, which gives b = q + 22.\n2. Substitute q = j + 6 to b, which gives b = j + 28.\n3. Substitute j = y + 2 to b, which gives b = y + 30.\n4. Substitute y = c + 1 to b, which gives b = c + 31.\n5. Substitute c = s + 12 to b, which gives b = s + 43.\n6. Substitute s = 14 to b, which gives b = 57.\n\nThus, the final answer is b = \\boxed{57}.",
"index": 12516,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 10; b = k + 11; y = c + 1; a = o + 7; c = s + 12; o = z + 3; k = q + 11; m = a + 12; q = j + 6; s = 14; u = l + 4; l = m + 11; j = y + 2. Given that s = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 19", "z": "e + 7", "b": "z + 10", "o": "b + 13", "k": "o + 10", "p": "k + 20", "g": "r + 6", "n": "g + 8", "w": "n + 3", "q": "w + 11", "f": "q + 16", "d": "f + 18", "r": 10}, "premises": {"r": 10}, "target": "p"}, "answer": {"steps": [["k", "o + 10", "o + 30"], ["o", "b + 13", "b + 43"], ["b", "z + 10", "z + 53"], ["z", "e + 7", "e + 60"], ["e", "r + 19", "r + 79"], ["r", 10, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"r": 10}, "is_reverse": true}} | 12,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 3; q = w + 11; o = b + 13; e = r + 19; n = g + 8; f = q + 16; p = k + 20; g = r + 6; d = f + 18; z = e + 7; b = z + 10; r = 10; k = o + 10. Given that r = 10, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 10 to p, which gives p = o + 30.\n2. Substitute o = b + 13 to p, which gives p = b + 43.\n3. Substitute b = z + 10 to p, which gives p = z + 53.\n4. Substitute z = e + 7 to p, which gives p = e + 60.\n5. Substitute e = r + 19 to p, which gives p = r + 79.\n6. Substitute r = 10 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 12517,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 3; q = w + 11; o = b + 13; e = r + 19; n = g + 8; f = q + 16; p = k + 20; g = r + 6; d = f + 18; z = e + 7; b = z + 10; r = 10; k = o + 10. Given that r = 10, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 5", "i": "x + 13", "h": "i + 6", "e": "h + 17", "b": "e + 3", "a": "b + 18", "r": "f + 7", "l": "r + 16", "c": "l + 14", "k": "c + 2", "p": "k + 17", "t": "p + 19", "f": 13}, "premises": {"f": 13}, "target": "a"}, "answer": {"steps": [["b", "e + 3", "e + 21"], ["e", "h + 17", "h + 38"], ["h", "i + 6", "i + 44"], ["i", "x + 13", "x + 57"], ["x", "f + 5", "f + 62"], ["f", 13, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"f": 13}, "is_reverse": true}} | 12,518 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 5; f = 13; r = f + 7; p = k + 17; h = i + 6; b = e + 3; a = b + 18; i = x + 13; e = h + 17; l = r + 16; c = l + 14; k = c + 2; t = p + 19. If f = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 3 to a, which gives a = e + 21.\n2. Substitute e = h + 17 to a, which gives a = h + 38.\n3. Substitute h = i + 6 to a, which gives a = i + 44.\n4. Substitute i = x + 13 to a, which gives a = x + 57.\n5. Substitute x = f + 5 to a, which gives a = f + 62.\n6. Substitute f = 13 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 12518,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 5; f = 13; r = f + 7; p = k + 17; h = i + 6; b = e + 3; a = b + 18; i = x + 13; e = h + 17; l = r + 16; c = l + 14; k = c + 2; t = p + 19. If f = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 10", "e": "o + 2", "i": "e + 14", "f": "i + 7", "l": "f + 13", "d": "l + 19", "t": "y + 14", "k": "t + 12", "j": "k + 15", "z": "j + 11", "x": "z + 12", "m": "x + 15", "y": 1}, "premises": {"y": 1}, "target": "d"}, "answer": {"steps": [["l", "f + 13", "f + 32"], ["f", "i + 7", "i + 39"], ["i", "e + 14", "e + 53"], ["e", "o + 2", "o + 55"], ["o", "y + 10", "y + 65"], ["y", 1, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"y": 1}, "is_reverse": true}} | 12,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = e + 14; e = o + 2; k = t + 12; j = k + 15; d = l + 19; t = y + 14; x = z + 12; f = i + 7; m = x + 15; z = j + 11; o = y + 10; y = 1; l = f + 13. If y = 1, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 13 to d, which gives d = f + 32.\n2. Substitute f = i + 7 to d, which gives d = i + 39.\n3. Substitute i = e + 14 to d, which gives d = e + 53.\n4. Substitute e = o + 2 to d, which gives d = o + 55.\n5. Substitute o = y + 10 to d, which gives d = y + 65.\n6. Substitute y = 1 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 12519,
"question": "Consider a system of variables where each variable is defined as follows: i = e + 14; e = o + 2; k = t + 12; j = k + 15; d = l + 19; t = y + 14; x = z + 12; f = i + 7; m = x + 15; z = j + 11; o = y + 10; y = 1; l = f + 13. If y = 1, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 10", "w": "v + 4", "d": "w + 3", "b": "d + 4", "p": "b + 16", "t": "p + 1", "j": "g + 12", "u": "j + 16", "n": "u + 6", "c": "n + 6", "i": "c + 18", "z": "i + 11", "g": 2}, "premises": {"g": 2}, "target": "t"}, "answer": {"steps": [["p", "b + 16", "b + 17"], ["b", "d + 4", "d + 21"], ["d", "w + 3", "w + 24"], ["w", "v + 4", "v + 28"], ["v", "g + 10", "g + 38"], ["g", 2, "40"]], "target_var_name": "t", "target_value": 40, "value_dict": {"g": 2}, "is_reverse": true}} | 12,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 4; v = g + 10; d = w + 3; t = p + 1; u = j + 16; i = c + 18; n = u + 6; c = n + 6; z = i + 11; g = 2; j = g + 12; p = b + 16; b = d + 4. If g = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 16 to t, which gives t = b + 17.\n2. Substitute b = d + 4 to t, which gives t = d + 21.\n3. Substitute d = w + 3 to t, which gives t = w + 24.\n4. Substitute w = v + 4 to t, which gives t = v + 28.\n5. Substitute v = g + 10 to t, which gives t = g + 38.\n6. Substitute g = 2 to t, which gives t = 40.\n\nThus, the final answer is t = \\boxed{40}.",
"index": 12520,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 4; v = g + 10; d = w + 3; t = p + 1; u = j + 16; i = c + 18; n = u + 6; c = n + 6; z = i + 11; g = 2; j = g + 12; p = b + 16; b = d + 4. If g = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 17", "z": "p + 7", "v": "z + 9", "f": "v + 2", "d": "f + 18", "u": "d + 1", "r": "s + 9", "g": "r + 17", "x": "g + 9", "k": "x + 6", "m": "k + 5", "q": "m + 4", "s": 11}, "premises": {"s": 11}, "target": "u"}, "answer": {"steps": [["d", "f + 18", "f + 19"], ["f", "v + 2", "v + 21"], ["v", "z + 9", "z + 30"], ["z", "p + 7", "p + 37"], ["p", "s + 17", "s + 54"], ["s", 11, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"s": 11}, "is_reverse": true}} | 12,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 17; q = m + 4; z = p + 7; m = k + 5; d = f + 18; k = x + 6; r = s + 9; s = 11; u = d + 1; v = z + 9; p = s + 17; x = g + 9; f = v + 2. Given that s = 11, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 18 to u, which gives u = f + 19.\n2. Substitute f = v + 2 to u, which gives u = v + 21.\n3. Substitute v = z + 9 to u, which gives u = z + 30.\n4. Substitute z = p + 7 to u, which gives u = p + 37.\n5. Substitute p = s + 17 to u, which gives u = s + 54.\n6. Substitute s = 11 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 12521,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 17; q = m + 4; z = p + 7; m = k + 5; d = f + 18; k = x + 6; r = s + 9; s = 11; u = d + 1; v = z + 9; p = s + 17; x = g + 9; f = v + 2. Given that s = 11, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 8", "p": "d + 12", "o": "p + 4", "r": "o + 12", "m": "r + 9", "x": "m + 17", "u": "l + 19", "q": "u + 1", "h": "q + 17", "w": "h + 20", "c": "w + 2", "e": "c + 12", "l": 18}, "premises": {"l": 18}, "target": "x"}, "answer": {"steps": [["m", "r + 9", "r + 26"], ["r", "o + 12", "o + 38"], ["o", "p + 4", "p + 42"], ["p", "d + 12", "d + 54"], ["d", "l + 8", "l + 62"], ["l", 18, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"l": 18}, "is_reverse": true}} | 12,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = 18; h = q + 17; c = w + 2; o = p + 4; r = o + 12; e = c + 12; u = l + 19; p = d + 12; q = u + 1; w = h + 20; d = l + 8; x = m + 17; m = r + 9. If l = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 9 to x, which gives x = r + 26.\n2. Substitute r = o + 12 to x, which gives x = o + 38.\n3. Substitute o = p + 4 to x, which gives x = p + 42.\n4. Substitute p = d + 12 to x, which gives x = d + 54.\n5. Substitute d = l + 8 to x, which gives x = l + 62.\n6. Substitute l = 18 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 12522,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 18; h = q + 17; c = w + 2; o = p + 4; r = o + 12; e = c + 12; u = l + 19; p = d + 12; q = u + 1; w = h + 20; d = l + 8; x = m + 17; m = r + 9. If l = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 11", "j": "c + 20", "e": "j + 6", "i": "e + 12", "y": "i + 16", "l": "y + 1", "h": "g + 14", "r": "h + 12", "o": "r + 15", "t": "o + 19", "b": "t + 17", "s": "b + 10", "g": 3}, "premises": {"g": 3}, "target": "l"}, "answer": {"steps": [["y", "i + 16", "i + 17"], ["i", "e + 12", "e + 29"], ["e", "j + 6", "j + 35"], ["j", "c + 20", "c + 55"], ["c", "g + 11", "g + 66"], ["g", 3, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"g": 3}, "is_reverse": true}} | 12,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 12; o = r + 15; s = b + 10; t = o + 19; c = g + 11; j = c + 20; h = g + 14; g = 3; y = i + 16; b = t + 17; l = y + 1; i = e + 12; e = j + 6. Given that g = 3, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 16 to l, which gives l = i + 17.\n2. Substitute i = e + 12 to l, which gives l = e + 29.\n3. Substitute e = j + 6 to l, which gives l = j + 35.\n4. Substitute j = c + 20 to l, which gives l = c + 55.\n5. Substitute c = g + 11 to l, which gives l = g + 66.\n6. Substitute g = 3 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 12523,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 12; o = r + 15; s = b + 10; t = o + 19; c = g + 11; j = c + 20; h = g + 14; g = 3; y = i + 16; b = t + 17; l = y + 1; i = e + 12; e = j + 6. Given that g = 3, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 7", "x": "i + 6", "s": "x + 15", "y": "s + 18", "t": "y + 11", "j": "t + 8", "h": "p + 7", "m": "h + 14", "f": "m + 12", "q": "f + 20", "d": "q + 3", "l": "d + 18", "p": 7}, "premises": {"p": 7}, "target": "j"}, "answer": {"steps": [["t", "y + 11", "y + 19"], ["y", "s + 18", "s + 37"], ["s", "x + 15", "x + 52"], ["x", "i + 6", "i + 58"], ["i", "p + 7", "p + 65"], ["p", 7, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"p": 7}, "is_reverse": true}} | 12,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 3; l = d + 18; j = t + 8; h = p + 7; f = m + 12; p = 7; i = p + 7; t = y + 11; s = x + 15; x = i + 6; m = h + 14; q = f + 20; y = s + 18. Given that p = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 11 to j, which gives j = y + 19.\n2. Substitute y = s + 18 to j, which gives j = s + 37.\n3. Substitute s = x + 15 to j, which gives j = x + 52.\n4. Substitute x = i + 6 to j, which gives j = i + 58.\n5. Substitute i = p + 7 to j, which gives j = p + 65.\n6. Substitute p = 7 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 12524,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 3; l = d + 18; j = t + 8; h = p + 7; f = m + 12; p = 7; i = p + 7; t = y + 11; s = x + 15; x = i + 6; m = h + 14; q = f + 20; y = s + 18. Given that p = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 14", "w": "t + 2", "j": "w + 8", "i": "j + 14", "s": "i + 3", "e": "s + 12", "c": "a + 12", "o": "c + 4", "g": "o + 2", "p": "g + 17", "n": "p + 4", "v": "n + 19", "a": 19}, "premises": {"a": 19}, "target": "e"}, "answer": {"steps": [["s", "i + 3", "i + 15"], ["i", "j + 14", "j + 29"], ["j", "w + 8", "w + 37"], ["w", "t + 2", "t + 39"], ["t", "a + 14", "a + 53"], ["a", 19, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"a": 19}, "is_reverse": true}} | 12,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 2; a = 19; n = p + 4; s = i + 3; j = w + 8; t = a + 14; v = n + 19; c = a + 12; i = j + 14; g = o + 2; p = g + 17; o = c + 4; e = s + 12. If a = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 3 to e, which gives e = i + 15.\n2. Substitute i = j + 14 to e, which gives e = j + 29.\n3. Substitute j = w + 8 to e, which gives e = w + 37.\n4. Substitute w = t + 2 to e, which gives e = t + 39.\n5. Substitute t = a + 14 to e, which gives e = a + 53.\n6. Substitute a = 19 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 12525,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 2; a = 19; n = p + 4; s = i + 3; j = w + 8; t = a + 14; v = n + 19; c = a + 12; i = j + 14; g = o + 2; p = g + 17; o = c + 4; e = s + 12. If a = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 8", "y": "a + 15", "t": "y + 2", "r": "t + 5", "z": "r + 12", "p": "z + 20", "l": "m + 10", "o": "l + 10", "v": "o + 3", "x": "v + 3", "g": "x + 9", "h": "g + 9", "m": 1}, "premises": {"m": 1}, "target": "p"}, "answer": {"steps": [["z", "r + 12", "r + 32"], ["r", "t + 5", "t + 37"], ["t", "y + 2", "y + 39"], ["y", "a + 15", "a + 54"], ["a", "m + 8", "m + 62"], ["m", 1, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"m": 1}, "is_reverse": true}} | 12,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 1; h = g + 9; t = y + 2; p = z + 20; v = o + 3; l = m + 10; o = l + 10; y = a + 15; g = x + 9; a = m + 8; x = v + 3; r = t + 5; z = r + 12. If m = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 12 to p, which gives p = r + 32.\n2. Substitute r = t + 5 to p, which gives p = t + 37.\n3. Substitute t = y + 2 to p, which gives p = y + 39.\n4. Substitute y = a + 15 to p, which gives p = a + 54.\n5. Substitute a = m + 8 to p, which gives p = m + 62.\n6. Substitute m = 1 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 12526,
"question": "Consider a system of variables where each variable is defined as follows: m = 1; h = g + 9; t = y + 2; p = z + 20; v = o + 3; l = m + 10; o = l + 10; y = a + 15; g = x + 9; a = m + 8; x = v + 3; r = t + 5; z = r + 12. If m = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 8", "j": "e + 2", "a": "j + 15", "c": "a + 19", "z": "c + 12", "g": "z + 15", "m": "l + 15", "w": "m + 1", "v": "w + 3", "y": "v + 4", "x": "y + 20", "s": "x + 7", "l": 6}, "premises": {"l": 6}, "target": "g"}, "answer": {"steps": [["z", "c + 12", "c + 27"], ["c", "a + 19", "a + 46"], ["a", "j + 15", "j + 61"], ["j", "e + 2", "e + 63"], ["e", "l + 8", "l + 71"], ["l", 6, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"l": 6}, "is_reverse": true}} | 12,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 19; x = y + 20; w = m + 1; e = l + 8; a = j + 15; l = 6; g = z + 15; m = l + 15; v = w + 3; y = v + 4; j = e + 2; z = c + 12; s = x + 7. If l = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 12 to g, which gives g = c + 27.\n2. Substitute c = a + 19 to g, which gives g = a + 46.\n3. Substitute a = j + 15 to g, which gives g = j + 61.\n4. Substitute j = e + 2 to g, which gives g = e + 63.\n5. Substitute e = l + 8 to g, which gives g = l + 71.\n6. Substitute l = 6 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 12527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 19; x = y + 20; w = m + 1; e = l + 8; a = j + 15; l = 6; g = z + 15; m = l + 15; v = w + 3; y = v + 4; j = e + 2; z = c + 12; s = x + 7. If l = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 2", "s": "g + 11", "l": "s + 3", "q": "l + 17", "u": "q + 9", "d": "u + 18", "o": "p + 5", "c": "o + 14", "m": "c + 9", "f": "m + 12", "e": "f + 2", "b": "e + 11", "p": 2}, "premises": {"p": 2}, "target": "d"}, "answer": {"steps": [["u", "q + 9", "q + 27"], ["q", "l + 17", "l + 44"], ["l", "s + 3", "s + 47"], ["s", "g + 11", "g + 58"], ["g", "p + 2", "p + 60"], ["p", 2, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"p": 2}, "is_reverse": true}} | 12,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 2; q = l + 17; b = e + 11; e = f + 2; s = g + 11; g = p + 2; c = o + 14; d = u + 18; l = s + 3; u = q + 9; m = c + 9; f = m + 12; o = p + 5. Given that p = 2, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 9 to d, which gives d = q + 27.\n2. Substitute q = l + 17 to d, which gives d = l + 44.\n3. Substitute l = s + 3 to d, which gives d = s + 47.\n4. Substitute s = g + 11 to d, which gives d = g + 58.\n5. Substitute g = p + 2 to d, which gives d = p + 60.\n6. Substitute p = 2 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 12528,
"question": "Suppose a collection of variables is related by the following definitions: p = 2; q = l + 17; b = e + 11; e = f + 2; s = g + 11; g = p + 2; c = o + 14; d = u + 18; l = s + 3; u = q + 9; m = c + 9; f = m + 12; o = p + 5. Given that p = 2, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 19", "f": "q + 3", "l": "f + 10", "c": "l + 20", "a": "c + 19", "z": "a + 8", "i": "h + 20", "s": "i + 7", "p": "s + 2", "k": "p + 8", "m": "k + 14", "e": "m + 11", "h": 19}, "premises": {"h": 19}, "target": "z"}, "answer": {"steps": [["a", "c + 19", "c + 27"], ["c", "l + 20", "l + 47"], ["l", "f + 10", "f + 57"], ["f", "q + 3", "q + 60"], ["q", "h + 19", "h + 79"], ["h", 19, "98"]], "target_var_name": "z", "target_value": 98, "value_dict": {"h": 19}, "is_reverse": true}} | 12,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 20; q = h + 19; f = q + 3; i = h + 20; m = k + 14; l = f + 10; a = c + 19; h = 19; z = a + 8; k = p + 8; s = i + 7; p = s + 2; e = m + 11. If h = 19, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 19 to z, which gives z = c + 27.\n2. Substitute c = l + 20 to z, which gives z = l + 47.\n3. Substitute l = f + 10 to z, which gives z = f + 57.\n4. Substitute f = q + 3 to z, which gives z = q + 60.\n5. Substitute q = h + 19 to z, which gives z = h + 79.\n6. Substitute h = 19 to z, which gives z = 98.\n\nThus, the final answer is z = \\boxed{98}.",
"index": 12529,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 20; q = h + 19; f = q + 3; i = h + 20; m = k + 14; l = f + 10; a = c + 19; h = 19; z = a + 8; k = p + 8; s = i + 7; p = s + 2; e = m + 11. If h = 19, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 3", "z": "o + 4", "n": "z + 7", "b": "n + 13", "v": "b + 5", "r": "v + 17", "q": "e + 19", "s": "q + 4", "m": "s + 2", "l": "m + 14", "j": "l + 15", "h": "j + 11", "e": 6}, "premises": {"e": 6}, "target": "r"}, "answer": {"steps": [["v", "b + 5", "b + 22"], ["b", "n + 13", "n + 35"], ["n", "z + 7", "z + 42"], ["z", "o + 4", "o + 46"], ["o", "e + 3", "e + 49"], ["e", 6, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"e": 6}, "is_reverse": true}} | 12,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = 6; o = e + 3; z = o + 4; b = n + 13; h = j + 11; l = m + 14; m = s + 2; j = l + 15; n = z + 7; s = q + 4; v = b + 5; r = v + 17; q = e + 19. If e = 6, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 5 to r, which gives r = b + 22.\n2. Substitute b = n + 13 to r, which gives r = n + 35.\n3. Substitute n = z + 7 to r, which gives r = z + 42.\n4. Substitute z = o + 4 to r, which gives r = o + 46.\n5. Substitute o = e + 3 to r, which gives r = e + 49.\n6. Substitute e = 6 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 12530,
"question": "Consider a system of variables where each variable is defined as follows: e = 6; o = e + 3; z = o + 4; b = n + 13; h = j + 11; l = m + 14; m = s + 2; j = l + 15; n = z + 7; s = q + 4; v = b + 5; r = v + 17; q = e + 19. If e = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 14", "c": "b + 19", "k": "c + 7", "r": "k + 2", "m": "r + 19", "g": "m + 20", "t": "f + 16", "z": "t + 5", "l": "z + 2", "y": "l + 12", "o": "y + 11", "q": "o + 3", "f": 9}, "premises": {"f": 9}, "target": "g"}, "answer": {"steps": [["m", "r + 19", "r + 39"], ["r", "k + 2", "k + 41"], ["k", "c + 7", "c + 48"], ["c", "b + 19", "b + 67"], ["b", "f + 14", "f + 81"], ["f", 9, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"f": 9}, "is_reverse": true}} | 12,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 19; c = b + 19; l = z + 2; q = o + 3; o = y + 11; t = f + 16; g = m + 20; k = c + 7; z = t + 5; r = k + 2; f = 9; b = f + 14; y = l + 12. Given that f = 9, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 19 to g, which gives g = r + 39.\n2. Substitute r = k + 2 to g, which gives g = k + 41.\n3. Substitute k = c + 7 to g, which gives g = c + 48.\n4. Substitute c = b + 19 to g, which gives g = b + 67.\n5. Substitute b = f + 14 to g, which gives g = f + 81.\n6. Substitute f = 9 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 12531,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 19; c = b + 19; l = z + 2; q = o + 3; o = y + 11; t = f + 16; g = m + 20; k = c + 7; z = t + 5; r = k + 2; f = 9; b = f + 14; y = l + 12. Given that f = 9, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 3", "v": "o + 3", "k": "v + 4", "c": "k + 5", "d": "c + 19", "p": "d + 10", "l": "s + 11", "g": "l + 1", "t": "g + 10", "b": "t + 19", "q": "b + 18", "w": "q + 5", "s": 6}, "premises": {"s": 6}, "target": "p"}, "answer": {"steps": [["d", "c + 19", "c + 29"], ["c", "k + 5", "k + 34"], ["k", "v + 4", "v + 38"], ["v", "o + 3", "o + 41"], ["o", "s + 3", "s + 44"], ["s", 6, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"s": 6}, "is_reverse": true}} | 12,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = l + 1; c = k + 5; b = t + 19; q = b + 18; d = c + 19; v = o + 3; o = s + 3; w = q + 5; l = s + 11; t = g + 10; p = d + 10; s = 6; k = v + 4. If s = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 19 to p, which gives p = c + 29.\n2. Substitute c = k + 5 to p, which gives p = k + 34.\n3. Substitute k = v + 4 to p, which gives p = v + 38.\n4. Substitute v = o + 3 to p, which gives p = o + 41.\n5. Substitute o = s + 3 to p, which gives p = s + 44.\n6. Substitute s = 6 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 12532,
"question": "Consider a system of variables where each variable is defined as follows: g = l + 1; c = k + 5; b = t + 19; q = b + 18; d = c + 19; v = o + 3; o = s + 3; w = q + 5; l = s + 11; t = g + 10; p = d + 10; s = 6; k = v + 4. If s = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 1", "t": "b + 20", "n": "t + 5", "c": "n + 5", "p": "c + 7", "s": "p + 6", "g": "a + 6", "r": "g + 17", "d": "r + 16", "o": "d + 17", "h": "o + 3", "z": "h + 17", "a": 4}, "premises": {"a": 4}, "target": "s"}, "answer": {"steps": [["p", "c + 7", "c + 13"], ["c", "n + 5", "n + 18"], ["n", "t + 5", "t + 23"], ["t", "b + 20", "b + 43"], ["b", "a + 1", "a + 44"], ["a", 4, "48"]], "target_var_name": "s", "target_value": 48, "value_dict": {"a": 4}, "is_reverse": true}} | 12,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 6; h = o + 3; a = 4; b = a + 1; p = c + 7; o = d + 17; c = n + 5; g = a + 6; t = b + 20; r = g + 17; z = h + 17; d = r + 16; n = t + 5. If a = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 7 to s, which gives s = c + 13.\n2. Substitute c = n + 5 to s, which gives s = n + 18.\n3. Substitute n = t + 5 to s, which gives s = t + 23.\n4. Substitute t = b + 20 to s, which gives s = b + 43.\n5. Substitute b = a + 1 to s, which gives s = a + 44.\n6. Substitute a = 4 to s, which gives s = 48.\n\nThus, the final answer is s = \\boxed{48}.",
"index": 12533,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 6; h = o + 3; a = 4; b = a + 1; p = c + 7; o = d + 17; c = n + 5; g = a + 6; t = b + 20; r = g + 17; z = h + 17; d = r + 16; n = t + 5. If a = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 2", "x": "n + 6", "u": "x + 1", "l": "u + 20", "r": "l + 9", "f": "r + 3", "h": "w + 4", "p": "h + 15", "z": "p + 6", "k": "z + 2", "c": "k + 17", "t": "c + 20", "w": 17}, "premises": {"w": 17}, "target": "f"}, "answer": {"steps": [["r", "l + 9", "l + 12"], ["l", "u + 20", "u + 32"], ["u", "x + 1", "x + 33"], ["x", "n + 6", "n + 39"], ["n", "w + 2", "w + 41"], ["w", 17, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"w": 17}, "is_reverse": true}} | 12,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = u + 20; f = r + 3; w = 17; t = c + 20; p = h + 15; k = z + 2; x = n + 6; h = w + 4; r = l + 9; z = p + 6; n = w + 2; u = x + 1; c = k + 17. Given that w = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 9 to f, which gives f = l + 12.\n2. Substitute l = u + 20 to f, which gives f = u + 32.\n3. Substitute u = x + 1 to f, which gives f = x + 33.\n4. Substitute x = n + 6 to f, which gives f = n + 39.\n5. Substitute n = w + 2 to f, which gives f = w + 41.\n6. Substitute w = 17 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 12534,
"question": "Suppose a collection of variables is related by the following definitions: l = u + 20; f = r + 3; w = 17; t = c + 20; p = h + 15; k = z + 2; x = n + 6; h = w + 4; r = l + 9; z = p + 6; n = w + 2; u = x + 1; c = k + 17. Given that w = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 17", "t": "p + 17", "q": "t + 12", "g": "q + 18", "x": "g + 20", "d": "x + 19", "f": "h + 12", "j": "f + 3", "k": "j + 2", "z": "k + 15", "e": "z + 2", "o": "e + 1", "h": 15}, "premises": {"h": 15}, "target": "d"}, "answer": {"steps": [["x", "g + 20", "g + 39"], ["g", "q + 18", "q + 57"], ["q", "t + 12", "t + 69"], ["t", "p + 17", "p + 86"], ["p", "h + 17", "h + 103"], ["h", 15, "118"]], "target_var_name": "d", "target_value": 118, "value_dict": {"h": 15}, "is_reverse": true}} | 12,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 2; e = z + 2; j = f + 3; d = x + 19; h = 15; g = q + 18; p = h + 17; q = t + 12; o = e + 1; z = k + 15; t = p + 17; x = g + 20; f = h + 12. If h = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 118,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 20 to d, which gives d = g + 39.\n2. Substitute g = q + 18 to d, which gives d = q + 57.\n3. Substitute q = t + 12 to d, which gives d = t + 69.\n4. Substitute t = p + 17 to d, which gives d = p + 86.\n5. Substitute p = h + 17 to d, which gives d = h + 103.\n6. Substitute h = 15 to d, which gives d = 118.\n\nThus, the final answer is d = \\boxed{118}.",
"index": 12535,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 2; e = z + 2; j = f + 3; d = x + 19; h = 15; g = q + 18; p = h + 17; q = t + 12; o = e + 1; z = k + 15; t = p + 17; x = g + 20; f = h + 12. If h = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 14", "r": "b + 12", "w": "r + 15", "y": "w + 16", "h": "y + 1", "j": "h + 19", "c": "u + 13", "i": "c + 10", "t": "i + 20", "n": "t + 16", "f": "n + 7", "m": "f + 3", "u": 16}, "premises": {"u": 16}, "target": "j"}, "answer": {"steps": [["h", "y + 1", "y + 20"], ["y", "w + 16", "w + 36"], ["w", "r + 15", "r + 51"], ["r", "b + 12", "b + 63"], ["b", "u + 14", "u + 77"], ["u", 16, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"u": 16}, "is_reverse": true}} | 12,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 3; y = w + 16; u = 16; c = u + 13; i = c + 10; h = y + 1; r = b + 12; f = n + 7; n = t + 16; b = u + 14; t = i + 20; j = h + 19; w = r + 15. If u = 16, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 1 to j, which gives j = y + 20.\n2. Substitute y = w + 16 to j, which gives j = w + 36.\n3. Substitute w = r + 15 to j, which gives j = r + 51.\n4. Substitute r = b + 12 to j, which gives j = b + 63.\n5. Substitute b = u + 14 to j, which gives j = u + 77.\n6. Substitute u = 16 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 12536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 3; y = w + 16; u = 16; c = u + 13; i = c + 10; h = y + 1; r = b + 12; f = n + 7; n = t + 16; b = u + 14; t = i + 20; j = h + 19; w = r + 15. If u = 16, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 16", "m": "q + 13", "a": "m + 6", "f": "a + 16", "c": "f + 5", "v": "c + 17", "d": "y + 4", "g": "d + 5", "x": "g + 3", "w": "x + 19", "o": "w + 7", "l": "o + 17", "y": 6}, "premises": {"y": 6}, "target": "v"}, "answer": {"steps": [["c", "f + 5", "f + 22"], ["f", "a + 16", "a + 38"], ["a", "m + 6", "m + 44"], ["m", "q + 13", "q + 57"], ["q", "y + 16", "y + 73"], ["y", 6, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"y": 6}, "is_reverse": true}} | 12,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 6; q = y + 16; f = a + 16; v = c + 17; a = m + 6; x = g + 3; l = o + 17; g = d + 5; d = y + 4; w = x + 19; o = w + 7; m = q + 13; c = f + 5. If y = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 5 to v, which gives v = f + 22.\n2. Substitute f = a + 16 to v, which gives v = a + 38.\n3. Substitute a = m + 6 to v, which gives v = m + 44.\n4. Substitute m = q + 13 to v, which gives v = q + 57.\n5. Substitute q = y + 16 to v, which gives v = y + 73.\n6. Substitute y = 6 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 12537,
"question": "Consider a system of variables where each variable is defined as follows: y = 6; q = y + 16; f = a + 16; v = c + 17; a = m + 6; x = g + 3; l = o + 17; g = d + 5; d = y + 4; w = x + 19; o = w + 7; m = q + 13; c = f + 5. If y = 6, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 2", "g": "h + 2", "f": "g + 2", "l": "f + 8", "j": "l + 9", "i": "j + 14", "b": "u + 19", "r": "b + 1", "c": "r + 11", "a": "c + 2", "p": "a + 9", "z": "p + 14", "u": 14}, "premises": {"u": 14}, "target": "i"}, "answer": {"steps": [["j", "l + 9", "l + 23"], ["l", "f + 8", "f + 31"], ["f", "g + 2", "g + 33"], ["g", "h + 2", "h + 35"], ["h", "u + 2", "u + 37"], ["u", 14, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"u": 14}, "is_reverse": true}} | 12,538 | 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 = g + 2; j = l + 9; z = p + 14; i = j + 14; l = f + 8; u = 14; a = c + 2; c = r + 11; g = h + 2; h = u + 2; r = b + 1; b = u + 19; p = a + 9. If u = 14, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 9 to i, which gives i = l + 23.\n2. Substitute l = f + 8 to i, which gives i = f + 31.\n3. Substitute f = g + 2 to i, which gives i = g + 33.\n4. Substitute g = h + 2 to i, which gives i = h + 35.\n5. Substitute h = u + 2 to i, which gives i = u + 37.\n6. Substitute u = 14 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 12538,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 2; j = l + 9; z = p + 14; i = j + 14; l = f + 8; u = 14; a = c + 2; c = r + 11; g = h + 2; h = u + 2; r = b + 1; b = u + 19; p = a + 9. If u = 14, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 2", "y": "l + 16", "q": "y + 19", "t": "q + 20", "o": "t + 12", "h": "o + 8", "s": "k + 2", "e": "s + 7", "b": "e + 3", "i": "b + 13", "g": "i + 5", "m": "g + 6", "k": 13}, "premises": {"k": 13}, "target": "h"}, "answer": {"steps": [["o", "t + 12", "t + 20"], ["t", "q + 20", "q + 40"], ["q", "y + 19", "y + 59"], ["y", "l + 16", "l + 75"], ["l", "k + 2", "k + 77"], ["k", 13, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"k": 13}, "is_reverse": true}} | 12,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = b + 13; e = s + 7; q = y + 19; t = q + 20; m = g + 6; h = o + 8; b = e + 3; l = k + 2; g = i + 5; k = 13; y = l + 16; s = k + 2; o = t + 12. If k = 13, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 12 to h, which gives h = t + 20.\n2. Substitute t = q + 20 to h, which gives h = q + 40.\n3. Substitute q = y + 19 to h, which gives h = y + 59.\n4. Substitute y = l + 16 to h, which gives h = l + 75.\n5. Substitute l = k + 2 to h, which gives h = k + 77.\n6. Substitute k = 13 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 12539,
"question": "Consider a system of variables where each variable is defined as follows: i = b + 13; e = s + 7; q = y + 19; t = q + 20; m = g + 6; h = o + 8; b = e + 3; l = k + 2; g = i + 5; k = 13; y = l + 16; s = k + 2; o = t + 12. If k = 13, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 12", "y": "u + 7", "a": "y + 9", "r": "a + 1", "n": "r + 2", "s": "n + 18", "e": "f + 15", "z": "e + 5", "q": "z + 14", "l": "q + 7", "x": "l + 17", "v": "x + 4", "f": 16}, "premises": {"f": 16}, "target": "s"}, "answer": {"steps": [["n", "r + 2", "r + 20"], ["r", "a + 1", "a + 21"], ["a", "y + 9", "y + 30"], ["y", "u + 7", "u + 37"], ["u", "f + 12", "f + 49"], ["f", 16, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"f": 16}, "is_reverse": true}} | 12,540 | 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 = z + 14; e = f + 15; f = 16; x = l + 17; y = u + 7; z = e + 5; n = r + 2; s = n + 18; l = q + 7; v = x + 4; r = a + 1; u = f + 12; a = y + 9. If f = 16, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 2 to s, which gives s = r + 20.\n2. Substitute r = a + 1 to s, which gives s = a + 21.\n3. Substitute a = y + 9 to s, which gives s = y + 30.\n4. Substitute y = u + 7 to s, which gives s = u + 37.\n5. Substitute u = f + 12 to s, which gives s = f + 49.\n6. Substitute f = 16 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 12540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 14; e = f + 15; f = 16; x = l + 17; y = u + 7; z = e + 5; n = r + 2; s = n + 18; l = q + 7; v = x + 4; r = a + 1; u = f + 12; a = y + 9. If f = 16, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 17", "z": "f + 1", "k": "z + 18", "y": "k + 1", "o": "y + 13", "q": "o + 5", "i": "e + 14", "h": "i + 11", "s": "h + 17", "l": "s + 8", "u": "l + 16", "w": "u + 13", "e": 13}, "premises": {"e": 13}, "target": "q"}, "answer": {"steps": [["o", "y + 13", "y + 18"], ["y", "k + 1", "k + 19"], ["k", "z + 18", "z + 37"], ["z", "f + 1", "f + 38"], ["f", "e + 17", "e + 55"], ["e", 13, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"e": 13}, "is_reverse": true}} | 12,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 5; l = s + 8; k = z + 18; z = f + 1; y = k + 1; s = h + 17; f = e + 17; h = i + 11; o = y + 13; w = u + 13; i = e + 14; e = 13; u = l + 16. If e = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 13 to q, which gives q = y + 18.\n2. Substitute y = k + 1 to q, which gives q = k + 19.\n3. Substitute k = z + 18 to q, which gives q = z + 37.\n4. Substitute z = f + 1 to q, which gives q = f + 38.\n5. Substitute f = e + 17 to q, which gives q = e + 55.\n6. Substitute e = 13 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 12541,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 5; l = s + 8; k = z + 18; z = f + 1; y = k + 1; s = h + 17; f = e + 17; h = i + 11; o = y + 13; w = u + 13; i = e + 14; e = 13; u = l + 16. If e = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 8", "o": "y + 1", "n": "o + 15", "b": "n + 16", "q": "b + 15", "r": "q + 10", "f": "h + 15", "l": "f + 12", "e": "l + 5", "d": "e + 8", "g": "d + 19", "c": "g + 18", "h": 10}, "premises": {"h": 10}, "target": "r"}, "answer": {"steps": [["q", "b + 15", "b + 25"], ["b", "n + 16", "n + 41"], ["n", "o + 15", "o + 56"], ["o", "y + 1", "y + 57"], ["y", "h + 8", "h + 65"], ["h", 10, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"h": 10}, "is_reverse": true}} | 12,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 15; d = e + 8; g = d + 19; o = y + 1; l = f + 12; q = b + 15; c = g + 18; h = 10; r = q + 10; f = h + 15; b = n + 16; y = h + 8; e = l + 5. If h = 10, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 15 to r, which gives r = b + 25.\n2. Substitute b = n + 16 to r, which gives r = n + 41.\n3. Substitute n = o + 15 to r, which gives r = o + 56.\n4. Substitute o = y + 1 to r, which gives r = y + 57.\n5. Substitute y = h + 8 to r, which gives r = h + 65.\n6. Substitute h = 10 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 12542,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 15; d = e + 8; g = d + 19; o = y + 1; l = f + 12; q = b + 15; c = g + 18; h = 10; r = q + 10; f = h + 15; b = n + 16; y = h + 8; e = l + 5. If h = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 8", "w": "q + 9", "k": "w + 20", "i": "k + 15", "t": "i + 1", "s": "t + 12", "b": "o + 1", "e": "b + 16", "l": "e + 9", "a": "l + 1", "n": "a + 9", "g": "n + 9", "o": 5}, "premises": {"o": 5}, "target": "s"}, "answer": {"steps": [["t", "i + 1", "i + 13"], ["i", "k + 15", "k + 28"], ["k", "w + 20", "w + 48"], ["w", "q + 9", "q + 57"], ["q", "o + 8", "o + 65"], ["o", 5, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"o": 5}, "is_reverse": true}} | 12,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 15; a = l + 1; w = q + 9; b = o + 1; k = w + 20; o = 5; e = b + 16; g = n + 9; q = o + 8; l = e + 9; n = a + 9; s = t + 12; t = i + 1. Given that o = 5, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 1 to s, which gives s = i + 13.\n2. Substitute i = k + 15 to s, which gives s = k + 28.\n3. Substitute k = w + 20 to s, which gives s = w + 48.\n4. Substitute w = q + 9 to s, which gives s = q + 57.\n5. Substitute q = o + 8 to s, which gives s = o + 65.\n6. Substitute o = 5 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 12543,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 15; a = l + 1; w = q + 9; b = o + 1; k = w + 20; o = 5; e = b + 16; g = n + 9; q = o + 8; l = e + 9; n = a + 9; s = t + 12; t = i + 1. Given that o = 5, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 1", "v": "n + 8", "h": "v + 15", "d": "h + 17", "o": "d + 18", "z": "o + 18", "c": "w + 20", "k": "c + 3", "j": "k + 19", "t": "j + 6", "x": "t + 2", "f": "x + 2", "w": 10}, "premises": {"w": 10}, "target": "z"}, "answer": {"steps": [["o", "d + 18", "d + 36"], ["d", "h + 17", "h + 53"], ["h", "v + 15", "v + 68"], ["v", "n + 8", "n + 76"], ["n", "w + 1", "w + 77"], ["w", 10, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"w": 10}, "is_reverse": true}} | 12,544 | 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 = c + 3; n = w + 1; x = t + 2; j = k + 19; t = j + 6; h = v + 15; c = w + 20; f = x + 2; z = o + 18; v = n + 8; o = d + 18; d = h + 17; w = 10. If w = 10, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 18 to z, which gives z = d + 36.\n2. Substitute d = h + 17 to z, which gives z = h + 53.\n3. Substitute h = v + 15 to z, which gives z = v + 68.\n4. Substitute v = n + 8 to z, which gives z = n + 76.\n5. Substitute n = w + 1 to z, which gives z = w + 77.\n6. Substitute w = 10 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 12544,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = c + 3; n = w + 1; x = t + 2; j = k + 19; t = j + 6; h = v + 15; c = w + 20; f = x + 2; z = o + 18; v = n + 8; o = d + 18; d = h + 17; w = 10. If w = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 9", "i": "a + 7", "f": "i + 6", "t": "f + 20", "z": "t + 6", "k": "z + 16", "x": "w + 14", "h": "x + 15", "e": "h + 10", "c": "e + 8", "j": "c + 9", "g": "j + 3", "w": 4}, "premises": {"w": 4}, "target": "k"}, "answer": {"steps": [["z", "t + 6", "t + 22"], ["t", "f + 20", "f + 42"], ["f", "i + 6", "i + 48"], ["i", "a + 7", "a + 55"], ["a", "w + 9", "w + 64"], ["w", 4, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"w": 4}, "is_reverse": true}} | 12,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 6; c = e + 8; i = a + 7; j = c + 9; t = f + 20; x = w + 14; k = z + 16; a = w + 9; h = x + 15; z = t + 6; g = j + 3; e = h + 10; w = 4. If w = 4, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 6 to k, which gives k = t + 22.\n2. Substitute t = f + 20 to k, which gives k = f + 42.\n3. Substitute f = i + 6 to k, which gives k = i + 48.\n4. Substitute i = a + 7 to k, which gives k = a + 55.\n5. Substitute a = w + 9 to k, which gives k = w + 64.\n6. Substitute w = 4 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 12545,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 6; c = e + 8; i = a + 7; j = c + 9; t = f + 20; x = w + 14; k = z + 16; a = w + 9; h = x + 15; z = t + 6; g = j + 3; e = h + 10; w = 4. If w = 4, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 3", "f": "h + 8", "r": "f + 20", "i": "r + 6", "n": "i + 16", "v": "n + 1", "u": "b + 4", "q": "u + 18", "z": "q + 4", "p": "z + 6", "o": "p + 2", "c": "o + 5", "b": 12}, "premises": {"b": 12}, "target": "v"}, "answer": {"steps": [["n", "i + 16", "i + 17"], ["i", "r + 6", "r + 23"], ["r", "f + 20", "f + 43"], ["f", "h + 8", "h + 51"], ["h", "b + 3", "b + 54"], ["b", 12, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"b": 12}, "is_reverse": true}} | 12,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = b + 4; v = n + 1; o = p + 2; p = z + 6; z = q + 4; q = u + 18; r = f + 20; h = b + 3; b = 12; i = r + 6; c = o + 5; n = i + 16; f = h + 8. Given that b = 12, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 16 to v, which gives v = i + 17.\n2. Substitute i = r + 6 to v, which gives v = r + 23.\n3. Substitute r = f + 20 to v, which gives v = f + 43.\n4. Substitute f = h + 8 to v, which gives v = h + 51.\n5. Substitute h = b + 3 to v, which gives v = b + 54.\n6. Substitute b = 12 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 12546,
"question": "Suppose a collection of variables is related by the following definitions: u = b + 4; v = n + 1; o = p + 2; p = z + 6; z = q + 4; q = u + 18; r = f + 20; h = b + 3; b = 12; i = r + 6; c = o + 5; n = i + 16; f = h + 8. Given that b = 12, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 20", "u": "v + 5", "n": "u + 9", "t": "n + 2", "o": "t + 6", "q": "o + 4", "c": "l + 10", "b": "c + 14", "d": "b + 18", "x": "d + 3", "p": "x + 18", "y": "p + 14", "l": 20}, "premises": {"l": 20}, "target": "q"}, "answer": {"steps": [["o", "t + 6", "t + 10"], ["t", "n + 2", "n + 12"], ["n", "u + 9", "u + 21"], ["u", "v + 5", "v + 26"], ["v", "l + 20", "l + 46"], ["l", 20, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"l": 20}, "is_reverse": true}} | 12,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 18; d = b + 18; c = l + 10; b = c + 14; l = 20; o = t + 6; n = u + 9; v = l + 20; y = p + 14; t = n + 2; u = v + 5; x = d + 3; q = o + 4. If l = 20, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 6 to q, which gives q = t + 10.\n2. Substitute t = n + 2 to q, which gives q = n + 12.\n3. Substitute n = u + 9 to q, which gives q = u + 21.\n4. Substitute u = v + 5 to q, which gives q = v + 26.\n5. Substitute v = l + 20 to q, which gives q = l + 46.\n6. Substitute l = 20 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 12547,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 18; d = b + 18; c = l + 10; b = c + 14; l = 20; o = t + 6; n = u + 9; v = l + 20; y = p + 14; t = n + 2; u = v + 5; x = d + 3; q = o + 4. If l = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 12", "t": "z + 13", "a": "t + 4", "k": "a + 14", "n": "k + 20", "b": "n + 8", "o": "h + 4", "s": "o + 4", "p": "s + 3", "e": "p + 15", "d": "e + 3", "v": "d + 6", "h": 15}, "premises": {"h": 15}, "target": "b"}, "answer": {"steps": [["n", "k + 20", "k + 28"], ["k", "a + 14", "a + 42"], ["a", "t + 4", "t + 46"], ["t", "z + 13", "z + 59"], ["z", "h + 12", "h + 71"], ["h", 15, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"h": 15}, "is_reverse": true}} | 12,548 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = h + 12; n = k + 20; e = p + 15; d = e + 3; p = s + 3; s = o + 4; a = t + 4; o = h + 4; h = 15; t = z + 13; k = a + 14; v = d + 6; b = n + 8. If h = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 20 to b, which gives b = k + 28.\n2. Substitute k = a + 14 to b, which gives b = a + 42.\n3. Substitute a = t + 4 to b, which gives b = t + 46.\n4. Substitute t = z + 13 to b, which gives b = z + 59.\n5. Substitute z = h + 12 to b, which gives b = h + 71.\n6. Substitute h = 15 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 12548,
"question": "Consider a system of variables where each variable is defined as follows: z = h + 12; n = k + 20; e = p + 15; d = e + 3; p = s + 3; s = o + 4; a = t + 4; o = h + 4; h = 15; t = z + 13; k = a + 14; v = d + 6; b = n + 8. If h = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 4", "x": "t + 10", "w": "x + 16", "n": "w + 14", "q": "n + 2", "g": "q + 1", "d": "z + 16", "c": "d + 16", "l": "c + 9", "b": "l + 10", "i": "b + 10", "u": "i + 4", "z": 10}, "premises": {"z": 10}, "target": "g"}, "answer": {"steps": [["q", "n + 2", "n + 3"], ["n", "w + 14", "w + 17"], ["w", "x + 16", "x + 33"], ["x", "t + 10", "t + 43"], ["t", "z + 4", "z + 47"], ["z", 10, "57"]], "target_var_name": "g", "target_value": 57, "value_dict": {"z": 10}, "is_reverse": true}} | 12,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = x + 16; c = d + 16; g = q + 1; b = l + 10; x = t + 10; l = c + 9; n = w + 14; q = n + 2; d = z + 16; z = 10; t = z + 4; u = i + 4; i = b + 10. If z = 10, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 2 to g, which gives g = n + 3.\n2. Substitute n = w + 14 to g, which gives g = w + 17.\n3. Substitute w = x + 16 to g, which gives g = x + 33.\n4. Substitute x = t + 10 to g, which gives g = t + 43.\n5. Substitute t = z + 4 to g, which gives g = z + 47.\n6. Substitute z = 10 to g, which gives g = 57.\n\nThus, the final answer is g = \\boxed{57}.",
"index": 12549,
"question": "Consider a system of variables where each variable is defined as follows: w = x + 16; c = d + 16; g = q + 1; b = l + 10; x = t + 10; l = c + 9; n = w + 14; q = n + 2; d = z + 16; z = 10; t = z + 4; u = i + 4; i = b + 10. If z = 10, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 18", "z": "i + 18", "g": "z + 11", "r": "g + 3", "x": "r + 1", "h": "x + 2", "t": "y + 18", "a": "t + 15", "q": "a + 7", "b": "q + 17", "j": "b + 11", "u": "j + 6", "y": 3}, "premises": {"y": 3}, "target": "h"}, "answer": {"steps": [["x", "r + 1", "r + 3"], ["r", "g + 3", "g + 6"], ["g", "z + 11", "z + 17"], ["z", "i + 18", "i + 35"], ["i", "y + 18", "y + 53"], ["y", 3, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"y": 3}, "is_reverse": true}} | 12,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = i + 18; i = y + 18; r = g + 3; t = y + 18; h = x + 2; y = 3; b = q + 17; j = b + 11; a = t + 15; q = a + 7; u = j + 6; g = z + 11; x = r + 1. Given that y = 3, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 1 to h, which gives h = r + 3.\n2. Substitute r = g + 3 to h, which gives h = g + 6.\n3. Substitute g = z + 11 to h, which gives h = z + 17.\n4. Substitute z = i + 18 to h, which gives h = i + 35.\n5. Substitute i = y + 18 to h, which gives h = y + 53.\n6. Substitute y = 3 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 12550,
"question": "Suppose a collection of variables is related by the following definitions: z = i + 18; i = y + 18; r = g + 3; t = y + 18; h = x + 2; y = 3; b = q + 17; j = b + 11; a = t + 15; q = a + 7; u = j + 6; g = z + 11; x = r + 1. Given that y = 3, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 17", "n": "z + 5", "s": "n + 9", "u": "s + 8", "m": "u + 2", "h": "m + 15", "o": "v + 7", "w": "o + 14", "a": "w + 20", "d": "a + 7", "t": "d + 20", "y": "t + 20", "v": 5}, "premises": {"v": 5}, "target": "h"}, "answer": {"steps": [["m", "u + 2", "u + 17"], ["u", "s + 8", "s + 25"], ["s", "n + 9", "n + 34"], ["n", "z + 5", "z + 39"], ["z", "v + 17", "v + 56"], ["v", 5, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"v": 5}, "is_reverse": true}} | 12,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = n + 9; v = 5; z = v + 17; w = o + 14; m = u + 2; y = t + 20; o = v + 7; a = w + 20; u = s + 8; t = d + 20; h = m + 15; n = z + 5; d = a + 7. Given that v = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 2 to h, which gives h = u + 17.\n2. Substitute u = s + 8 to h, which gives h = s + 25.\n3. Substitute s = n + 9 to h, which gives h = n + 34.\n4. Substitute n = z + 5 to h, which gives h = z + 39.\n5. Substitute z = v + 17 to h, which gives h = v + 56.\n6. Substitute v = 5 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 12551,
"question": "Suppose a collection of variables is related by the following definitions: s = n + 9; v = 5; z = v + 17; w = o + 14; m = u + 2; y = t + 20; o = v + 7; a = w + 20; u = s + 8; t = d + 20; h = m + 15; n = z + 5; d = a + 7. Given that v = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 13", "h": "w + 12", "q": "h + 10", "f": "q + 16", "s": "f + 7", "z": "s + 13", "i": "x + 20", "c": "i + 3", "a": "c + 2", "j": "a + 17", "n": "j + 15", "k": "n + 2", "x": 9}, "premises": {"x": 9}, "target": "z"}, "answer": {"steps": [["s", "f + 7", "f + 20"], ["f", "q + 16", "q + 36"], ["q", "h + 10", "h + 46"], ["h", "w + 12", "w + 58"], ["w", "x + 13", "x + 71"], ["x", 9, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"x": 9}, "is_reverse": true}} | 12,552 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 15; i = x + 20; x = 9; q = h + 10; h = w + 12; z = s + 13; c = i + 3; k = n + 2; f = q + 16; w = x + 13; a = c + 2; s = f + 7; j = a + 17. Given that x = 9, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 7 to z, which gives z = f + 20.\n2. Substitute f = q + 16 to z, which gives z = q + 36.\n3. Substitute q = h + 10 to z, which gives z = h + 46.\n4. Substitute h = w + 12 to z, which gives z = w + 58.\n5. Substitute w = x + 13 to z, which gives z = x + 71.\n6. Substitute x = 9 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 12552,
"question": "Suppose a collection of variables is related by the following definitions: n = j + 15; i = x + 20; x = 9; q = h + 10; h = w + 12; z = s + 13; c = i + 3; k = n + 2; f = q + 16; w = x + 13; a = c + 2; s = f + 7; j = a + 17. Given that x = 9, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 17", "p": "r + 1", "d": "p + 12", "n": "d + 14", "o": "n + 12", "a": "o + 16", "e": "s + 7", "u": "e + 3", "g": "u + 18", "v": "g + 13", "z": "v + 18", "y": "z + 14", "s": 12}, "premises": {"s": 12}, "target": "a"}, "answer": {"steps": [["o", "n + 12", "n + 28"], ["n", "d + 14", "d + 42"], ["d", "p + 12", "p + 54"], ["p", "r + 1", "r + 55"], ["r", "s + 17", "s + 72"], ["s", 12, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"s": 12}, "is_reverse": true}} | 12,553 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = v + 18; n = d + 14; v = g + 13; r = s + 17; d = p + 12; u = e + 3; p = r + 1; g = u + 18; e = s + 7; o = n + 12; s = 12; y = z + 14; a = o + 16. If s = 12, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 12 to a, which gives a = n + 28.\n2. Substitute n = d + 14 to a, which gives a = d + 42.\n3. Substitute d = p + 12 to a, which gives a = p + 54.\n4. Substitute p = r + 1 to a, which gives a = r + 55.\n5. Substitute r = s + 17 to a, which gives a = s + 72.\n6. Substitute s = 12 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 12553,
"question": "Consider a system of variables where each variable is defined as follows: z = v + 18; n = d + 14; v = g + 13; r = s + 17; d = p + 12; u = e + 3; p = r + 1; g = u + 18; e = s + 7; o = n + 12; s = 12; y = z + 14; a = o + 16. If s = 12, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 13", "w": "u + 12", "a": "w + 2", "c": "a + 10", "f": "c + 7", "v": "f + 17", "i": "t + 10", "z": "i + 17", "l": "z + 3", "h": "l + 14", "n": "h + 1", "p": "n + 15", "t": 20}, "premises": {"t": 20}, "target": "v"}, "answer": {"steps": [["f", "c + 7", "c + 24"], ["c", "a + 10", "a + 34"], ["a", "w + 2", "w + 36"], ["w", "u + 12", "u + 48"], ["u", "t + 13", "t + 61"], ["t", 20, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"t": 20}, "is_reverse": true}} | 12,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 1; z = i + 17; p = n + 15; l = z + 3; c = a + 10; i = t + 10; h = l + 14; v = f + 17; f = c + 7; a = w + 2; u = t + 13; w = u + 12; t = 20. If t = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 7 to v, which gives v = c + 24.\n2. Substitute c = a + 10 to v, which gives v = a + 34.\n3. Substitute a = w + 2 to v, which gives v = w + 36.\n4. Substitute w = u + 12 to v, which gives v = u + 48.\n5. Substitute u = t + 13 to v, which gives v = t + 61.\n6. Substitute t = 20 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 12554,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 1; z = i + 17; p = n + 15; l = z + 3; c = a + 10; i = t + 10; h = l + 14; v = f + 17; f = c + 7; a = w + 2; u = t + 13; w = u + 12; t = 20. If t = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 16", "x": "g + 9", "o": "x + 12", "w": "o + 7", "h": "w + 11", "u": "h + 16", "r": "q + 10", "m": "r + 13", "v": "m + 16", "k": "v + 15", "s": "k + 14", "f": "s + 1", "q": 7}, "premises": {"q": 7}, "target": "u"}, "answer": {"steps": [["h", "w + 11", "w + 27"], ["w", "o + 7", "o + 34"], ["o", "x + 12", "x + 46"], ["x", "g + 9", "g + 55"], ["g", "q + 16", "q + 71"], ["q", 7, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"q": 7}, "is_reverse": true}} | 12,555 | 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 = q + 10; w = o + 7; g = q + 16; v = m + 16; k = v + 15; f = s + 1; q = 7; u = h + 16; m = r + 13; s = k + 14; x = g + 9; h = w + 11; o = x + 12. If q = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 11 to u, which gives u = w + 27.\n2. Substitute w = o + 7 to u, which gives u = o + 34.\n3. Substitute o = x + 12 to u, which gives u = x + 46.\n4. Substitute x = g + 9 to u, which gives u = g + 55.\n5. Substitute g = q + 16 to u, which gives u = q + 71.\n6. Substitute q = 7 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 12555,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 10; w = o + 7; g = q + 16; v = m + 16; k = v + 15; f = s + 1; q = 7; u = h + 16; m = r + 13; s = k + 14; x = g + 9; h = w + 11; o = x + 12. If q = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 18", "a": "b + 15", "y": "a + 13", "r": "y + 6", "w": "r + 12", "l": "w + 17", "e": "q + 9", "g": "e + 6", "z": "g + 10", "u": "z + 4", "f": "u + 4", "p": "f + 4", "q": 4}, "premises": {"q": 4}, "target": "l"}, "answer": {"steps": [["w", "r + 12", "r + 29"], ["r", "y + 6", "y + 35"], ["y", "a + 13", "a + 48"], ["a", "b + 15", "b + 63"], ["b", "q + 18", "q + 81"], ["q", 4, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"q": 4}, "is_reverse": true}} | 12,556 | 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 = w + 17; q = 4; g = e + 6; a = b + 15; r = y + 6; w = r + 12; p = f + 4; b = q + 18; z = g + 10; u = z + 4; f = u + 4; e = q + 9; y = a + 13. If q = 4, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 12 to l, which gives l = r + 29.\n2. Substitute r = y + 6 to l, which gives l = y + 35.\n3. Substitute y = a + 13 to l, which gives l = a + 48.\n4. Substitute a = b + 15 to l, which gives l = b + 63.\n5. Substitute b = q + 18 to l, which gives l = q + 81.\n6. Substitute q = 4 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 12556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 17; q = 4; g = e + 6; a = b + 15; r = y + 6; w = r + 12; p = f + 4; b = q + 18; z = g + 10; u = z + 4; f = u + 4; e = q + 9; y = a + 13. If q = 4, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 5", "t": "g + 4", "c": "t + 17", "e": "c + 12", "m": "e + 10", "l": "m + 14", "p": "s + 5", "b": "p + 8", "u": "b + 5", "w": "u + 9", "r": "w + 19", "z": "r + 14", "s": 8}, "premises": {"s": 8}, "target": "l"}, "answer": {"steps": [["m", "e + 10", "e + 24"], ["e", "c + 12", "c + 36"], ["c", "t + 17", "t + 53"], ["t", "g + 4", "g + 57"], ["g", "s + 5", "s + 62"], ["s", 8, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"s": 8}, "is_reverse": true}} | 12,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 14; e = c + 12; p = s + 5; c = t + 17; w = u + 9; b = p + 8; g = s + 5; t = g + 4; l = m + 14; r = w + 19; s = 8; m = e + 10; u = b + 5. Given that s = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 10 to l, which gives l = e + 24.\n2. Substitute e = c + 12 to l, which gives l = c + 36.\n3. Substitute c = t + 17 to l, which gives l = t + 53.\n4. Substitute t = g + 4 to l, which gives l = g + 57.\n5. Substitute g = s + 5 to l, which gives l = s + 62.\n6. Substitute s = 8 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 12557,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 14; e = c + 12; p = s + 5; c = t + 17; w = u + 9; b = p + 8; g = s + 5; t = g + 4; l = m + 14; r = w + 19; s = 8; m = e + 10; u = b + 5. Given that s = 8, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 4", "o": "j + 11", "h": "o + 9", "f": "h + 3", "i": "f + 20", "r": "i + 3", "e": "q + 18", "d": "e + 15", "w": "d + 5", "u": "w + 16", "a": "u + 4", "g": "a + 12", "q": 10}, "premises": {"q": 10}, "target": "r"}, "answer": {"steps": [["i", "f + 20", "f + 23"], ["f", "h + 3", "h + 26"], ["h", "o + 9", "o + 35"], ["o", "j + 11", "j + 46"], ["j", "q + 4", "q + 50"], ["q", 10, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"q": 10}, "is_reverse": true}} | 12,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 15; o = j + 11; r = i + 3; q = 10; g = a + 12; f = h + 3; u = w + 16; a = u + 4; w = d + 5; h = o + 9; i = f + 20; j = q + 4; e = q + 18. If q = 10, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 20 to r, which gives r = f + 23.\n2. Substitute f = h + 3 to r, which gives r = h + 26.\n3. Substitute h = o + 9 to r, which gives r = o + 35.\n4. Substitute o = j + 11 to r, which gives r = j + 46.\n5. Substitute j = q + 4 to r, which gives r = q + 50.\n6. Substitute q = 10 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 12558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 15; o = j + 11; r = i + 3; q = 10; g = a + 12; f = h + 3; u = w + 16; a = u + 4; w = d + 5; h = o + 9; i = f + 20; j = q + 4; e = q + 18. If q = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 14", "i": "d + 9", "n": "i + 17", "z": "n + 16", "y": "z + 1", "a": "y + 20", "e": "m + 20", "t": "e + 5", "x": "t + 10", "p": "x + 16", "o": "p + 1", "h": "o + 4", "m": 12}, "premises": {"m": 12}, "target": "a"}, "answer": {"steps": [["y", "z + 1", "z + 21"], ["z", "n + 16", "n + 37"], ["n", "i + 17", "i + 54"], ["i", "d + 9", "d + 63"], ["d", "m + 14", "m + 77"], ["m", 12, "89"]], "target_var_name": "a", "target_value": 89, "value_dict": {"m": 12}, "is_reverse": true}} | 12,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 20; h = o + 4; a = y + 20; t = e + 5; x = t + 10; o = p + 1; p = x + 16; n = i + 17; m = 12; z = n + 16; y = z + 1; d = m + 14; i = d + 9. Given that m = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 1 to a, which gives a = z + 21.\n2. Substitute z = n + 16 to a, which gives a = n + 37.\n3. Substitute n = i + 17 to a, which gives a = i + 54.\n4. Substitute i = d + 9 to a, which gives a = d + 63.\n5. Substitute d = m + 14 to a, which gives a = m + 77.\n6. Substitute m = 12 to a, which gives a = 89.\n\nThus, the final answer is a = \\boxed{89}.",
"index": 12559,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 20; h = o + 4; a = y + 20; t = e + 5; x = t + 10; o = p + 1; p = x + 16; n = i + 17; m = 12; z = n + 16; y = z + 1; d = m + 14; i = d + 9. Given that m = 12, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 10", "f": "c + 5", "i": "f + 1", "m": "i + 6", "v": "m + 6", "g": "v + 10", "z": "w + 11", "a": "z + 7", "p": "a + 14", "k": "p + 14", "j": "k + 1", "x": "j + 7", "w": 15}, "premises": {"w": 15}, "target": "g"}, "answer": {"steps": [["v", "m + 6", "m + 16"], ["m", "i + 6", "i + 22"], ["i", "f + 1", "f + 23"], ["f", "c + 5", "c + 28"], ["c", "w + 10", "w + 38"], ["w", 15, "53"]], "target_var_name": "g", "target_value": 53, "value_dict": {"w": 15}, "is_reverse": true}} | 12,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 15; z = w + 11; x = j + 7; g = v + 10; m = i + 6; j = k + 1; p = a + 14; a = z + 7; i = f + 1; v = m + 6; f = c + 5; k = p + 14; c = w + 10. If w = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 6 to g, which gives g = m + 16.\n2. Substitute m = i + 6 to g, which gives g = i + 22.\n3. Substitute i = f + 1 to g, which gives g = f + 23.\n4. Substitute f = c + 5 to g, which gives g = c + 28.\n5. Substitute c = w + 10 to g, which gives g = w + 38.\n6. Substitute w = 15 to g, which gives g = 53.\n\nThus, the final answer is g = \\boxed{53}.",
"index": 12560,
"question": "Consider a system of variables where each variable is defined as follows: w = 15; z = w + 11; x = j + 7; g = v + 10; m = i + 6; j = k + 1; p = a + 14; a = z + 7; i = f + 1; v = m + 6; f = c + 5; k = p + 14; c = w + 10. If w = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 13", "q": "y + 14", "j": "q + 4", "n": "j + 3", "x": "n + 7", "s": "x + 11", "c": "v + 4", "h": "c + 11", "t": "h + 3", "p": "t + 1", "i": "p + 2", "l": "i + 12", "v": 12}, "premises": {"v": 12}, "target": "s"}, "answer": {"steps": [["x", "n + 7", "n + 18"], ["n", "j + 3", "j + 21"], ["j", "q + 4", "q + 25"], ["q", "y + 14", "y + 39"], ["y", "v + 13", "v + 52"], ["v", 12, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"v": 12}, "is_reverse": true}} | 12,561 | 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 = c + 11; v = 12; x = n + 7; t = h + 3; j = q + 4; p = t + 1; c = v + 4; s = x + 11; n = j + 3; y = v + 13; l = i + 12; i = p + 2; q = y + 14. If v = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 7 to s, which gives s = n + 18.\n2. Substitute n = j + 3 to s, which gives s = j + 21.\n3. Substitute j = q + 4 to s, which gives s = q + 25.\n4. Substitute q = y + 14 to s, which gives s = y + 39.\n5. Substitute y = v + 13 to s, which gives s = v + 52.\n6. Substitute v = 12 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 12561,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 11; v = 12; x = n + 7; t = h + 3; j = q + 4; p = t + 1; c = v + 4; s = x + 11; n = j + 3; y = v + 13; l = i + 12; i = p + 2; q = y + 14. If v = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 12", "o": "p + 14", "e": "o + 11", "c": "e + 11", "u": "c + 15", "v": "u + 5", "y": "b + 16", "x": "y + 18", "h": "x + 20", "f": "h + 18", "j": "f + 7", "i": "j + 2", "b": 14}, "premises": {"b": 14}, "target": "v"}, "answer": {"steps": [["u", "c + 15", "c + 20"], ["c", "e + 11", "e + 31"], ["e", "o + 11", "o + 42"], ["o", "p + 14", "p + 56"], ["p", "b + 12", "b + 68"], ["b", 14, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"b": 14}, "is_reverse": true}} | 12,562 | 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 = h + 18; p = b + 12; x = y + 18; b = 14; c = e + 11; o = p + 14; y = b + 16; e = o + 11; j = f + 7; v = u + 5; u = c + 15; i = j + 2; h = x + 20. If b = 14, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 15 to v, which gives v = c + 20.\n2. Substitute c = e + 11 to v, which gives v = e + 31.\n3. Substitute e = o + 11 to v, which gives v = o + 42.\n4. Substitute o = p + 14 to v, which gives v = p + 56.\n5. Substitute p = b + 12 to v, which gives v = b + 68.\n6. Substitute b = 14 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 12562,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 18; p = b + 12; x = y + 18; b = 14; c = e + 11; o = p + 14; y = b + 16; e = o + 11; j = f + 7; v = u + 5; u = c + 15; i = j + 2; h = x + 20. If b = 14, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 5", "s": "f + 6", "u": "s + 18", "m": "u + 4", "i": "m + 19", "g": "i + 13", "r": "x + 10", "n": "r + 12", "p": "n + 7", "q": "p + 14", "j": "q + 17", "c": "j + 14", "x": 17}, "premises": {"x": 17}, "target": "g"}, "answer": {"steps": [["i", "m + 19", "m + 32"], ["m", "u + 4", "u + 36"], ["u", "s + 18", "s + 54"], ["s", "f + 6", "f + 60"], ["f", "x + 5", "x + 65"], ["x", 17, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"x": 17}, "is_reverse": true}} | 12,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 14; p = n + 7; n = r + 12; f = x + 5; i = m + 19; j = q + 17; g = i + 13; m = u + 4; u = s + 18; s = f + 6; r = x + 10; x = 17; c = j + 14. Given that x = 17, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 19 to g, which gives g = m + 32.\n2. Substitute m = u + 4 to g, which gives g = u + 36.\n3. Substitute u = s + 18 to g, which gives g = s + 54.\n4. Substitute s = f + 6 to g, which gives g = f + 60.\n5. Substitute f = x + 5 to g, which gives g = x + 65.\n6. Substitute x = 17 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 12563,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 14; p = n + 7; n = r + 12; f = x + 5; i = m + 19; j = q + 17; g = i + 13; m = u + 4; u = s + 18; s = f + 6; r = x + 10; x = 17; c = j + 14. Given that x = 17, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 20", "e": "g + 8", "a": "e + 8", "u": "a + 18", "c": "u + 9", "s": "c + 8", "k": "l + 1", "m": "k + 8", "j": "m + 9", "z": "j + 19", "d": "z + 10", "n": "d + 9", "l": 12}, "premises": {"l": 12}, "target": "s"}, "answer": {"steps": [["c", "u + 9", "u + 17"], ["u", "a + 18", "a + 35"], ["a", "e + 8", "e + 43"], ["e", "g + 8", "g + 51"], ["g", "l + 20", "l + 71"], ["l", 12, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"l": 12}, "is_reverse": true}} | 12,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = u + 9; m = k + 8; k = l + 1; d = z + 10; u = a + 18; s = c + 8; l = 12; g = l + 20; a = e + 8; e = g + 8; j = m + 9; z = j + 19; n = d + 9. If l = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 9 to s, which gives s = u + 17.\n2. Substitute u = a + 18 to s, which gives s = a + 35.\n3. Substitute a = e + 8 to s, which gives s = e + 43.\n4. Substitute e = g + 8 to s, which gives s = g + 51.\n5. Substitute g = l + 20 to s, which gives s = l + 71.\n6. Substitute l = 12 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 12564,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = u + 9; m = k + 8; k = l + 1; d = z + 10; u = a + 18; s = c + 8; l = 12; g = l + 20; a = e + 8; e = g + 8; j = m + 9; z = j + 19; n = d + 9. If l = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 4", "r": "c + 19", "u": "r + 12", "z": "u + 8", "o": "z + 12", "l": "o + 5", "s": "f + 8", "w": "s + 9", "n": "w + 3", "k": "n + 14", "a": "k + 13", "j": "a + 19", "f": 20}, "premises": {"f": 20}, "target": "l"}, "answer": {"steps": [["o", "z + 12", "z + 17"], ["z", "u + 8", "u + 25"], ["u", "r + 12", "r + 37"], ["r", "c + 19", "c + 56"], ["c", "f + 4", "f + 60"], ["f", 20, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"f": 20}, "is_reverse": true}} | 12,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 19; o = z + 12; n = w + 3; c = f + 4; z = u + 8; f = 20; u = r + 12; w = s + 9; s = f + 8; r = c + 19; a = k + 13; k = n + 14; l = o + 5. If f = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 12 to l, which gives l = z + 17.\n2. Substitute z = u + 8 to l, which gives l = u + 25.\n3. Substitute u = r + 12 to l, which gives l = r + 37.\n4. Substitute r = c + 19 to l, which gives l = c + 56.\n5. Substitute c = f + 4 to l, which gives l = f + 60.\n6. Substitute f = 20 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 12565,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 19; o = z + 12; n = w + 3; c = f + 4; z = u + 8; f = 20; u = r + 12; w = s + 9; s = f + 8; r = c + 19; a = k + 13; k = n + 14; l = o + 5. If f = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 4", "d": "p + 17", "g": "d + 9", "a": "g + 8", "l": "a + 12", "b": "l + 17", "k": "s + 14", "q": "k + 9", "y": "q + 16", "x": "y + 3", "h": "x + 14", "n": "h + 19", "s": 20}, "premises": {"s": 20}, "target": "b"}, "answer": {"steps": [["l", "a + 12", "a + 29"], ["a", "g + 8", "g + 37"], ["g", "d + 9", "d + 46"], ["d", "p + 17", "p + 63"], ["p", "s + 4", "s + 67"], ["s", 20, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"s": 20}, "is_reverse": true}} | 12,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 12; x = y + 3; s = 20; k = s + 14; n = h + 19; a = g + 8; q = k + 9; d = p + 17; b = l + 17; y = q + 16; p = s + 4; h = x + 14; g = d + 9. If s = 20, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 12 to b, which gives b = a + 29.\n2. Substitute a = g + 8 to b, which gives b = g + 37.\n3. Substitute g = d + 9 to b, which gives b = d + 46.\n4. Substitute d = p + 17 to b, which gives b = p + 63.\n5. Substitute p = s + 4 to b, which gives b = s + 67.\n6. Substitute s = 20 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 12566,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 12; x = y + 3; s = 20; k = s + 14; n = h + 19; a = g + 8; q = k + 9; d = p + 17; b = l + 17; y = q + 16; p = s + 4; h = x + 14; g = d + 9. If s = 20, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 13", "y": "e + 6", "l": "y + 20", "k": "l + 18", "z": "k + 15", "h": "z + 14", "t": "d + 13", "b": "t + 18", "p": "b + 2", "o": "p + 6", "m": "o + 6", "x": "m + 4", "d": 16}, "premises": {"d": 16}, "target": "h"}, "answer": {"steps": [["z", "k + 15", "k + 29"], ["k", "l + 18", "l + 47"], ["l", "y + 20", "y + 67"], ["y", "e + 6", "e + 73"], ["e", "d + 13", "d + 86"], ["d", 16, "102"]], "target_var_name": "h", "target_value": 102, "value_dict": {"d": 16}, "is_reverse": true}} | 12,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = t + 18; l = y + 20; t = d + 13; x = m + 4; m = o + 6; e = d + 13; k = l + 18; h = z + 14; y = e + 6; p = b + 2; z = k + 15; o = p + 6; d = 16. If d = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 15 to h, which gives h = k + 29.\n2. Substitute k = l + 18 to h, which gives h = l + 47.\n3. Substitute l = y + 20 to h, which gives h = y + 67.\n4. Substitute y = e + 6 to h, which gives h = e + 73.\n5. Substitute e = d + 13 to h, which gives h = d + 86.\n6. Substitute d = 16 to h, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 12567,
"question": "Consider a system of variables where each variable is defined as follows: b = t + 18; l = y + 20; t = d + 13; x = m + 4; m = o + 6; e = d + 13; k = l + 18; h = z + 14; y = e + 6; p = b + 2; z = k + 15; o = p + 6; d = 16. If d = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 15", "s": "r + 14", "x": "s + 7", "k": "x + 6", "l": "k + 3", "n": "l + 18", "u": "w + 7", "i": "u + 16", "a": "i + 20", "y": "a + 17", "q": "y + 19", "v": "q + 13", "w": 13}, "premises": {"w": 13}, "target": "n"}, "answer": {"steps": [["l", "k + 3", "k + 21"], ["k", "x + 6", "x + 27"], ["x", "s + 7", "s + 34"], ["s", "r + 14", "r + 48"], ["r", "w + 15", "w + 63"], ["w", 13, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"w": 13}, "is_reverse": true}} | 12,568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 13; n = l + 18; s = r + 14; i = u + 16; w = 13; y = a + 17; x = s + 7; r = w + 15; u = w + 7; a = i + 20; l = k + 3; q = y + 19; k = x + 6. If w = 13, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 3 to n, which gives n = k + 21.\n2. Substitute k = x + 6 to n, which gives n = x + 27.\n3. Substitute x = s + 7 to n, which gives n = s + 34.\n4. Substitute s = r + 14 to n, which gives n = r + 48.\n5. Substitute r = w + 15 to n, which gives n = w + 63.\n6. Substitute w = 13 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 12568,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 13; n = l + 18; s = r + 14; i = u + 16; w = 13; y = a + 17; x = s + 7; r = w + 15; u = w + 7; a = i + 20; l = k + 3; q = y + 19; k = x + 6. If w = 13, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 10", "w": "s + 11", "r": "w + 9", "d": "r + 15", "t": "d + 15", "b": "t + 6", "x": "g + 20", "o": "x + 5", "k": "o + 11", "e": "k + 7", "n": "e + 1", "j": "n + 5", "g": 3}, "premises": {"g": 3}, "target": "b"}, "answer": {"steps": [["t", "d + 15", "d + 21"], ["d", "r + 15", "r + 36"], ["r", "w + 9", "w + 45"], ["w", "s + 11", "s + 56"], ["s", "g + 10", "g + 66"], ["g", 3, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"g": 3}, "is_reverse": true}} | 12,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 15; k = o + 11; n = e + 1; e = k + 7; r = w + 9; w = s + 11; b = t + 6; s = g + 10; o = x + 5; d = r + 15; x = g + 20; j = n + 5; g = 3. If g = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 15 to b, which gives b = d + 21.\n2. Substitute d = r + 15 to b, which gives b = r + 36.\n3. Substitute r = w + 9 to b, which gives b = w + 45.\n4. Substitute w = s + 11 to b, which gives b = s + 56.\n5. Substitute s = g + 10 to b, which gives b = g + 66.\n6. Substitute g = 3 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 12569,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 15; k = o + 11; n = e + 1; e = k + 7; r = w + 9; w = s + 11; b = t + 6; s = g + 10; o = x + 5; d = r + 15; x = g + 20; j = n + 5; g = 3. If g = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 20", "a": "j + 17", "e": "a + 6", "v": "e + 20", "y": "v + 15", "z": "y + 14", "r": "u + 6", "w": "r + 5", "m": "w + 13", "h": "m + 20", "c": "h + 5", "q": "c + 17", "u": 17}, "premises": {"u": 17}, "target": "z"}, "answer": {"steps": [["y", "v + 15", "v + 29"], ["v", "e + 20", "e + 49"], ["e", "a + 6", "a + 55"], ["a", "j + 17", "j + 72"], ["j", "u + 20", "u + 92"], ["u", 17, "109"]], "target_var_name": "z", "target_value": 109, "value_dict": {"u": 17}, "is_reverse": true}} | 12,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 6; y = v + 15; v = e + 20; z = y + 14; h = m + 20; q = c + 17; m = w + 13; c = h + 5; r = u + 6; a = j + 17; u = 17; w = r + 5; j = u + 20. Given that u = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = v + 15 to z, which gives z = v + 29.\n2. Substitute v = e + 20 to z, which gives z = e + 49.\n3. Substitute e = a + 6 to z, which gives z = a + 55.\n4. Substitute a = j + 17 to z, which gives z = j + 72.\n5. Substitute j = u + 20 to z, which gives z = u + 92.\n6. Substitute u = 17 to z, which gives z = 109.\n\nThus, the final answer is z = \\boxed{109}.",
"index": 12570,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 6; y = v + 15; v = e + 20; z = y + 14; h = m + 20; q = c + 17; m = w + 13; c = h + 5; r = u + 6; a = j + 17; u = 17; w = r + 5; j = u + 20. Given that u = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 7", "z": "g + 7", "h": "z + 2", "c": "h + 11", "l": "c + 4", "f": "l + 10", "t": "b + 4", "r": "t + 20", "w": "r + 4", "x": "w + 7", "e": "x + 6", "m": "e + 20", "b": 7}, "premises": {"b": 7}, "target": "f"}, "answer": {"steps": [["l", "c + 4", "c + 14"], ["c", "h + 11", "h + 25"], ["h", "z + 2", "z + 27"], ["z", "g + 7", "g + 34"], ["g", "b + 7", "b + 41"], ["b", 7, "48"]], "target_var_name": "f", "target_value": 48, "value_dict": {"b": 7}, "is_reverse": true}} | 12,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 2; z = g + 7; c = h + 11; b = 7; w = r + 4; r = t + 20; g = b + 7; t = b + 4; x = w + 7; e = x + 6; f = l + 10; m = e + 20; l = c + 4. Given that b = 7, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 4 to f, which gives f = c + 14.\n2. Substitute c = h + 11 to f, which gives f = h + 25.\n3. Substitute h = z + 2 to f, which gives f = z + 27.\n4. Substitute z = g + 7 to f, which gives f = g + 34.\n5. Substitute g = b + 7 to f, which gives f = b + 41.\n6. Substitute b = 7 to f, which gives f = 48.\n\nThus, the final answer is f = \\boxed{48}.",
"index": 12571,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 2; z = g + 7; c = h + 11; b = 7; w = r + 4; r = t + 20; g = b + 7; t = b + 4; x = w + 7; e = x + 6; f = l + 10; m = e + 20; l = c + 4. Given that b = 7, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 10", "z": "y + 14", "n": "z + 8", "o": "n + 8", "e": "o + 4", "s": "e + 16", "t": "j + 12", "k": "t + 18", "i": "k + 4", "p": "i + 14", "c": "p + 6", "f": "c + 5", "j": 16}, "premises": {"j": 16}, "target": "s"}, "answer": {"steps": [["e", "o + 4", "o + 20"], ["o", "n + 8", "n + 28"], ["n", "z + 8", "z + 36"], ["z", "y + 14", "y + 50"], ["y", "j + 10", "j + 60"], ["j", 16, "76"]], "target_var_name": "s", "target_value": 76, "value_dict": {"j": 16}, "is_reverse": true}} | 12,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 8; z = y + 14; f = c + 5; i = k + 4; j = 16; e = o + 4; s = e + 16; p = i + 14; c = p + 6; k = t + 18; t = j + 12; n = z + 8; y = j + 10. Given that j = 16, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 4 to s, which gives s = o + 20.\n2. Substitute o = n + 8 to s, which gives s = n + 28.\n3. Substitute n = z + 8 to s, which gives s = z + 36.\n4. Substitute z = y + 14 to s, which gives s = y + 50.\n5. Substitute y = j + 10 to s, which gives s = j + 60.\n6. Substitute j = 16 to s, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 12572,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 8; z = y + 14; f = c + 5; i = k + 4; j = 16; e = o + 4; s = e + 16; p = i + 14; c = p + 6; k = t + 18; t = j + 12; n = z + 8; y = j + 10. Given that j = 16, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 16", "j": "s + 14", "c": "j + 2", "l": "c + 15", "g": "l + 4", "o": "g + 3", "h": "z + 10", "p": "h + 14", "a": "p + 17", "r": "a + 4", "y": "r + 16", "i": "y + 4", "z": 6}, "premises": {"z": 6}, "target": "o"}, "answer": {"steps": [["g", "l + 4", "l + 7"], ["l", "c + 15", "c + 22"], ["c", "j + 2", "j + 24"], ["j", "s + 14", "s + 38"], ["s", "z + 16", "z + 54"], ["z", 6, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"z": 6}, "is_reverse": true}} | 12,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 2; j = s + 14; p = h + 14; i = y + 4; r = a + 4; o = g + 3; y = r + 16; l = c + 15; z = 6; a = p + 17; s = z + 16; h = z + 10; g = l + 4. If z = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 4 to o, which gives o = l + 7.\n2. Substitute l = c + 15 to o, which gives o = c + 22.\n3. Substitute c = j + 2 to o, which gives o = j + 24.\n4. Substitute j = s + 14 to o, which gives o = s + 38.\n5. Substitute s = z + 16 to o, which gives o = z + 54.\n6. Substitute z = 6 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 12573,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 2; j = s + 14; p = h + 14; i = y + 4; r = a + 4; o = g + 3; y = r + 16; l = c + 15; z = 6; a = p + 17; s = z + 16; h = z + 10; g = l + 4. If z = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 6", "n": "p + 10", "i": "n + 5", "y": "i + 8", "w": "y + 1", "q": "w + 11", "h": "f + 5", "r": "h + 9", "x": "r + 5", "g": "x + 10", "z": "g + 8", "s": "z + 5", "f": 1}, "premises": {"f": 1}, "target": "q"}, "answer": {"steps": [["w", "y + 1", "y + 12"], ["y", "i + 8", "i + 20"], ["i", "n + 5", "n + 25"], ["n", "p + 10", "p + 35"], ["p", "f + 6", "f + 41"], ["f", 1, "42"]], "target_var_name": "q", "target_value": 42, "value_dict": {"f": 1}, "is_reverse": true}} | 12,574 | 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 + 5; w = y + 1; h = f + 5; q = w + 11; g = x + 10; r = h + 9; p = f + 6; x = r + 5; y = i + 8; f = 1; n = p + 10; i = n + 5; z = g + 8. If f = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 1 to q, which gives q = y + 12.\n2. Substitute y = i + 8 to q, which gives q = i + 20.\n3. Substitute i = n + 5 to q, which gives q = n + 25.\n4. Substitute n = p + 10 to q, which gives q = p + 35.\n5. Substitute p = f + 6 to q, which gives q = f + 41.\n6. Substitute f = 1 to q, which gives q = 42.\n\nThus, the final answer is q = \\boxed{42}.",
"index": 12574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = z + 5; w = y + 1; h = f + 5; q = w + 11; g = x + 10; r = h + 9; p = f + 6; x = r + 5; y = i + 8; f = 1; n = p + 10; i = n + 5; z = g + 8. If f = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 11", "o": "m + 13", "n": "o + 12", "e": "n + 9", "w": "e + 7", "d": "w + 2", "x": "f + 1", "p": "x + 3", "v": "p + 18", "r": "v + 18", "l": "r + 10", "y": "l + 19", "f": 14}, "premises": {"f": 14}, "target": "d"}, "answer": {"steps": [["w", "e + 7", "e + 9"], ["e", "n + 9", "n + 18"], ["n", "o + 12", "o + 30"], ["o", "m + 13", "m + 43"], ["m", "f + 11", "f + 54"], ["f", 14, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"f": 14}, "is_reverse": true}} | 12,575 | 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 = l + 19; r = v + 18; w = e + 7; l = r + 10; o = m + 13; v = p + 18; e = n + 9; n = o + 12; f = 14; p = x + 3; m = f + 11; d = w + 2; x = f + 1. If f = 14, what is the resulting 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 w = e + 7 to d, which gives d = e + 9.\n2. Substitute e = n + 9 to d, which gives d = n + 18.\n3. Substitute n = o + 12 to d, which gives d = o + 30.\n4. Substitute o = m + 13 to d, which gives d = m + 43.\n5. Substitute m = f + 11 to d, which gives d = f + 54.\n6. Substitute f = 14 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 12575,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 19; r = v + 18; w = e + 7; l = r + 10; o = m + 13; v = p + 18; e = n + 9; n = o + 12; f = 14; p = x + 3; m = f + 11; d = w + 2; x = f + 1. If f = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 8", "h": "v + 8", "b": "h + 4", "k": "b + 7", "o": "k + 2", "q": "o + 11", "x": "p + 8", "y": "x + 6", "j": "y + 8", "l": "j + 16", "w": "l + 12", "c": "w + 8", "p": 15}, "premises": {"p": 15}, "target": "q"}, "answer": {"steps": [["o", "k + 2", "k + 13"], ["k", "b + 7", "b + 20"], ["b", "h + 4", "h + 24"], ["h", "v + 8", "v + 32"], ["v", "p + 8", "p + 40"], ["p", 15, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"p": 15}, "is_reverse": true}} | 12,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = l + 12; c = w + 8; l = j + 16; y = x + 6; k = b + 7; o = k + 2; h = v + 8; x = p + 8; b = h + 4; j = y + 8; p = 15; q = o + 11; v = p + 8. If p = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 2 to q, which gives q = k + 13.\n2. Substitute k = b + 7 to q, which gives q = b + 20.\n3. Substitute b = h + 4 to q, which gives q = h + 24.\n4. Substitute h = v + 8 to q, which gives q = v + 32.\n5. Substitute v = p + 8 to q, which gives q = p + 40.\n6. Substitute p = 15 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 12576,
"question": "Consider a system of variables where each variable is defined as follows: w = l + 12; c = w + 8; l = j + 16; y = x + 6; k = b + 7; o = k + 2; h = v + 8; x = p + 8; b = h + 4; j = y + 8; p = 15; q = o + 11; v = p + 8. If p = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 17", "d": "f + 7", "s": "d + 20", "r": "s + 15", "j": "r + 10", "h": "j + 16", "t": "o + 12", "w": "t + 2", "y": "w + 1", "u": "y + 6", "c": "u + 16", "v": "c + 19", "o": 2}, "premises": {"o": 2}, "target": "h"}, "answer": {"steps": [["j", "r + 10", "r + 26"], ["r", "s + 15", "s + 41"], ["s", "d + 20", "d + 61"], ["d", "f + 7", "f + 68"], ["f", "o + 17", "o + 85"], ["o", 2, "87"]], "target_var_name": "h", "target_value": 87, "value_dict": {"o": 2}, "is_reverse": true}} | 12,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 1; c = u + 16; j = r + 10; h = j + 16; o = 2; t = o + 12; r = s + 15; d = f + 7; v = c + 19; f = o + 17; s = d + 20; w = t + 2; u = y + 6. Given that o = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 10 to h, which gives h = r + 26.\n2. Substitute r = s + 15 to h, which gives h = s + 41.\n3. Substitute s = d + 20 to h, which gives h = d + 61.\n4. Substitute d = f + 7 to h, which gives h = f + 68.\n5. Substitute f = o + 17 to h, which gives h = o + 85.\n6. Substitute o = 2 to h, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 12577,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 1; c = u + 16; j = r + 10; h = j + 16; o = 2; t = o + 12; r = s + 15; d = f + 7; v = c + 19; f = o + 17; s = d + 20; w = t + 2; u = y + 6. Given that o = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 4", "o": "k + 8", "a": "o + 6", "w": "a + 11", "z": "w + 5", "q": "z + 15", "b": "n + 13", "r": "b + 4", "s": "r + 1", "v": "s + 17", "p": "v + 10", "d": "p + 9", "n": 11}, "premises": {"n": 11}, "target": "q"}, "answer": {"steps": [["z", "w + 5", "w + 20"], ["w", "a + 11", "a + 31"], ["a", "o + 6", "o + 37"], ["o", "k + 8", "k + 45"], ["k", "n + 4", "n + 49"], ["n", 11, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"n": 11}, "is_reverse": true}} | 12,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 11; o = k + 8; d = p + 9; b = n + 13; a = o + 6; s = r + 1; n = 11; q = z + 15; k = n + 4; p = v + 10; z = w + 5; r = b + 4; v = s + 17. If n = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 5 to q, which gives q = w + 20.\n2. Substitute w = a + 11 to q, which gives q = a + 31.\n3. Substitute a = o + 6 to q, which gives q = o + 37.\n4. Substitute o = k + 8 to q, which gives q = k + 45.\n5. Substitute k = n + 4 to q, which gives q = n + 49.\n6. Substitute n = 11 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 12578,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 11; o = k + 8; d = p + 9; b = n + 13; a = o + 6; s = r + 1; n = 11; q = z + 15; k = n + 4; p = v + 10; z = w + 5; r = b + 4; v = s + 17. If n = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 3", "g": "t + 15", "j": "g + 18", "r": "j + 8", "n": "r + 1", "v": "n + 12", "f": "u + 1", "a": "f + 7", "i": "a + 15", "z": "i + 6", "y": "z + 15", "x": "y + 12", "u": 12}, "premises": {"u": 12}, "target": "v"}, "answer": {"steps": [["n", "r + 1", "r + 13"], ["r", "j + 8", "j + 21"], ["j", "g + 18", "g + 39"], ["g", "t + 15", "t + 54"], ["t", "u + 3", "u + 57"], ["u", 12, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"u": 12}, "is_reverse": true}} | 12,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 15; g = t + 15; a = f + 7; t = u + 3; z = i + 6; i = a + 15; r = j + 8; j = g + 18; x = y + 12; v = n + 12; n = r + 1; u = 12; f = u + 1. If u = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 1 to v, which gives v = r + 13.\n2. Substitute r = j + 8 to v, which gives v = j + 21.\n3. Substitute j = g + 18 to v, which gives v = g + 39.\n4. Substitute g = t + 15 to v, which gives v = t + 54.\n5. Substitute t = u + 3 to v, which gives v = u + 57.\n6. Substitute u = 12 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 12579,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 15; g = t + 15; a = f + 7; t = u + 3; z = i + 6; i = a + 15; r = j + 8; j = g + 18; x = y + 12; v = n + 12; n = r + 1; u = 12; f = u + 1. If u = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 9", "u": "y + 15", "l": "u + 14", "r": "l + 15", "n": "r + 1", "k": "n + 2", "h": "d + 13", "q": "h + 20", "i": "q + 18", "w": "i + 13", "t": "w + 2", "a": "t + 8", "d": 18}, "premises": {"d": 18}, "target": "k"}, "answer": {"steps": [["n", "r + 1", "r + 3"], ["r", "l + 15", "l + 18"], ["l", "u + 14", "u + 32"], ["u", "y + 15", "y + 47"], ["y", "d + 9", "d + 56"], ["d", 18, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"d": 18}, "is_reverse": true}} | 12,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 18; n = r + 1; w = i + 13; r = l + 15; u = y + 15; a = t + 8; l = u + 14; d = 18; y = d + 9; q = h + 20; k = n + 2; t = w + 2; h = d + 13. If d = 18, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 1 to k, which gives k = r + 3.\n2. Substitute r = l + 15 to k, which gives k = l + 18.\n3. Substitute l = u + 14 to k, which gives k = u + 32.\n4. Substitute u = y + 15 to k, which gives k = y + 47.\n5. Substitute y = d + 9 to k, which gives k = d + 56.\n6. Substitute d = 18 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 12580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 18; n = r + 1; w = i + 13; r = l + 15; u = y + 15; a = t + 8; l = u + 14; d = 18; y = d + 9; q = h + 20; k = n + 2; t = w + 2; h = d + 13. If d = 18, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 11", "m": "y + 14", "t": "m + 9", "c": "t + 1", "q": "c + 8", "n": "q + 6", "v": "u + 6", "z": "v + 6", "j": "z + 6", "r": "j + 4", "a": "r + 12", "s": "a + 14", "u": 12}, "premises": {"u": 12}, "target": "n"}, "answer": {"steps": [["q", "c + 8", "c + 14"], ["c", "t + 1", "t + 15"], ["t", "m + 9", "m + 24"], ["m", "y + 14", "y + 38"], ["y", "u + 11", "u + 49"], ["u", 12, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"u": 12}, "is_reverse": true}} | 12,581 | 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 = u + 6; t = m + 9; s = a + 14; a = r + 12; z = v + 6; m = y + 14; n = q + 6; c = t + 1; j = z + 6; u = 12; q = c + 8; y = u + 11; r = j + 4. If u = 12, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 8 to n, which gives n = c + 14.\n2. Substitute c = t + 1 to n, which gives n = t + 15.\n3. Substitute t = m + 9 to n, which gives n = m + 24.\n4. Substitute m = y + 14 to n, which gives n = y + 38.\n5. Substitute y = u + 11 to n, which gives n = u + 49.\n6. Substitute u = 12 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 12581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 6; t = m + 9; s = a + 14; a = r + 12; z = v + 6; m = y + 14; n = q + 6; c = t + 1; j = z + 6; u = 12; q = c + 8; y = u + 11; r = j + 4. If u = 12, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 5", "a": "d + 16", "k": "a + 10", "e": "k + 13", "g": "e + 9", "j": "g + 17", "q": "c + 1", "f": "q + 20", "i": "f + 8", "l": "i + 16", "r": "l + 7", "x": "r + 13", "c": 20}, "premises": {"c": 20}, "target": "j"}, "answer": {"steps": [["g", "e + 9", "e + 26"], ["e", "k + 13", "k + 39"], ["k", "a + 10", "a + 49"], ["a", "d + 16", "d + 65"], ["d", "c + 5", "c + 70"], ["c", 20, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"c": 20}, "is_reverse": true}} | 12,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = c + 5; r = l + 7; k = a + 10; i = f + 8; g = e + 9; a = d + 16; c = 20; e = k + 13; x = r + 13; j = g + 17; f = q + 20; l = i + 16; q = c + 1. If c = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 9 to j, which gives j = e + 26.\n2. Substitute e = k + 13 to j, which gives j = k + 39.\n3. Substitute k = a + 10 to j, which gives j = a + 49.\n4. Substitute a = d + 16 to j, which gives j = d + 65.\n5. Substitute d = c + 5 to j, which gives j = c + 70.\n6. Substitute c = 20 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 12582,
"question": "Consider a system of variables where each variable is defined as follows: d = c + 5; r = l + 7; k = a + 10; i = f + 8; g = e + 9; a = d + 16; c = 20; e = k + 13; x = r + 13; j = g + 17; f = q + 20; l = i + 16; q = c + 1. If c = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 17", "s": "l + 1", "c": "s + 14", "q": "c + 7", "d": "q + 12", "o": "d + 11", "z": "h + 13", "k": "z + 3", "f": "k + 8", "v": "f + 5", "m": "v + 13", "y": "m + 9", "h": 16}, "premises": {"h": 16}, "target": "o"}, "answer": {"steps": [["d", "q + 12", "q + 23"], ["q", "c + 7", "c + 30"], ["c", "s + 14", "s + 44"], ["s", "l + 1", "l + 45"], ["l", "h + 17", "h + 62"], ["h", 16, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"h": 16}, "is_reverse": true}} | 12,583 | 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 = c + 7; l = h + 17; z = h + 13; v = f + 5; s = l + 1; c = s + 14; o = d + 11; d = q + 12; f = k + 8; h = 16; y = m + 9; m = v + 13; k = z + 3. If h = 16, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 12 to o, which gives o = q + 23.\n2. Substitute q = c + 7 to o, which gives o = c + 30.\n3. Substitute c = s + 14 to o, which gives o = s + 44.\n4. Substitute s = l + 1 to o, which gives o = l + 45.\n5. Substitute l = h + 17 to o, which gives o = h + 62.\n6. Substitute h = 16 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 12583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 7; l = h + 17; z = h + 13; v = f + 5; s = l + 1; c = s + 14; o = d + 11; d = q + 12; f = k + 8; h = 16; y = m + 9; m = v + 13; k = z + 3. If h = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 16", "t": "j + 13", "v": "t + 16", "p": "v + 5", "e": "p + 12", "s": "e + 7", "o": "y + 16", "a": "o + 8", "r": "a + 5", "g": "r + 13", "l": "g + 3", "i": "l + 8", "y": 5}, "premises": {"y": 5}, "target": "s"}, "answer": {"steps": [["e", "p + 12", "p + 19"], ["p", "v + 5", "v + 24"], ["v", "t + 16", "t + 40"], ["t", "j + 13", "j + 53"], ["j", "y + 16", "y + 69"], ["y", 5, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"y": 5}, "is_reverse": true}} | 12,584 | 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 = t + 16; g = r + 13; l = g + 3; t = j + 13; y = 5; o = y + 16; s = e + 7; i = l + 8; a = o + 8; p = v + 5; j = y + 16; e = p + 12; r = a + 5. If y = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 12 to s, which gives s = p + 19.\n2. Substitute p = v + 5 to s, which gives s = v + 24.\n3. Substitute v = t + 16 to s, which gives s = t + 40.\n4. Substitute t = j + 13 to s, which gives s = j + 53.\n5. Substitute j = y + 16 to s, which gives s = y + 69.\n6. Substitute y = 5 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 12584,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 16; g = r + 13; l = g + 3; t = j + 13; y = 5; o = y + 16; s = e + 7; i = l + 8; a = o + 8; p = v + 5; j = y + 16; e = p + 12; r = a + 5. If y = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 11", "j": "a + 4", "p": "j + 6", "m": "p + 1", "u": "m + 1", "v": "u + 4", "c": "w + 5", "o": "c + 14", "b": "o + 7", "n": "b + 12", "g": "n + 7", "l": "g + 13", "w": 2}, "premises": {"w": 2}, "target": "v"}, "answer": {"steps": [["u", "m + 1", "m + 5"], ["m", "p + 1", "p + 6"], ["p", "j + 6", "j + 12"], ["j", "a + 4", "a + 16"], ["a", "w + 11", "w + 27"], ["w", 2, "29"]], "target_var_name": "v", "target_value": 29, "value_dict": {"w": 2}, "is_reverse": true}} | 12,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 1; g = n + 7; v = u + 4; w = 2; j = a + 4; b = o + 7; l = g + 13; a = w + 11; u = m + 1; c = w + 5; p = j + 6; o = c + 14; n = b + 12. Given that w = 2, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 29,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 1 to v, which gives v = m + 5.\n2. Substitute m = p + 1 to v, which gives v = p + 6.\n3. Substitute p = j + 6 to v, which gives v = j + 12.\n4. Substitute j = a + 4 to v, which gives v = a + 16.\n5. Substitute a = w + 11 to v, which gives v = w + 27.\n6. Substitute w = 2 to v, which gives v = 29.\n\nThus, the final answer is v = \\boxed{29}.",
"index": 12585,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 1; g = n + 7; v = u + 4; w = 2; j = a + 4; b = o + 7; l = g + 13; a = w + 11; u = m + 1; c = w + 5; p = j + 6; o = c + 14; n = b + 12. Given that w = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 2", "b": "j + 2", "q": "b + 8", "p": "q + 15", "u": "p + 5", "t": "u + 1", "y": "e + 2", "h": "y + 4", "c": "h + 7", "k": "c + 4", "x": "k + 6", "i": "x + 13", "e": 20}, "premises": {"e": 20}, "target": "t"}, "answer": {"steps": [["u", "p + 5", "p + 6"], ["p", "q + 15", "q + 21"], ["q", "b + 8", "b + 29"], ["b", "j + 2", "j + 31"], ["j", "e + 2", "e + 33"], ["e", 20, "53"]], "target_var_name": "t", "target_value": 53, "value_dict": {"e": 20}, "is_reverse": true}} | 12,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 8; u = p + 5; i = x + 13; y = e + 2; x = k + 6; j = e + 2; e = 20; c = h + 7; h = y + 4; p = q + 15; k = c + 4; b = j + 2; t = u + 1. Given that e = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 5 to t, which gives t = p + 6.\n2. Substitute p = q + 15 to t, which gives t = q + 21.\n3. Substitute q = b + 8 to t, which gives t = b + 29.\n4. Substitute b = j + 2 to t, which gives t = j + 31.\n5. Substitute j = e + 2 to t, which gives t = e + 33.\n6. Substitute e = 20 to t, which gives t = 53.\n\nThus, the final answer is t = \\boxed{53}.",
"index": 12586,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 8; u = p + 5; i = x + 13; y = e + 2; x = k + 6; j = e + 2; e = 20; c = h + 7; h = y + 4; p = q + 15; k = c + 4; b = j + 2; t = u + 1. Given that e = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 16", "e": "t + 14", "b": "e + 15", "h": "b + 11", "s": "h + 7", "v": "s + 9", "w": "q + 9", "g": "w + 7", "c": "g + 11", "d": "c + 7", "r": "d + 15", "m": "r + 2", "q": 2}, "premises": {"q": 2}, "target": "v"}, "answer": {"steps": [["s", "h + 7", "h + 16"], ["h", "b + 11", "b + 27"], ["b", "e + 15", "e + 42"], ["e", "t + 14", "t + 56"], ["t", "q + 16", "q + 72"], ["q", 2, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"q": 2}, "is_reverse": true}} | 12,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 9; w = q + 9; g = w + 7; e = t + 14; d = c + 7; h = b + 11; t = q + 16; s = h + 7; b = e + 15; r = d + 15; c = g + 11; m = r + 2; q = 2. If q = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 7 to v, which gives v = h + 16.\n2. Substitute h = b + 11 to v, which gives v = b + 27.\n3. Substitute b = e + 15 to v, which gives v = e + 42.\n4. Substitute e = t + 14 to v, which gives v = t + 56.\n5. Substitute t = q + 16 to v, which gives v = q + 72.\n6. Substitute q = 2 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 12587,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 9; w = q + 9; g = w + 7; e = t + 14; d = c + 7; h = b + 11; t = q + 16; s = h + 7; b = e + 15; r = d + 15; c = g + 11; m = r + 2; q = 2. If q = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "m": "k + 3", "p": "m + 9", "l": "p + 7", "j": "l + 17", "h": "j + 2", "e": "f + 1", "s": "e + 15", "q": "s + 20", "c": "q + 12", "w": "c + 16", "a": "w + 6", "f": 5}, "premises": {"f": 5}, "target": "h"}, "answer": {"steps": [["j", "l + 17", "l + 19"], ["l", "p + 7", "p + 26"], ["p", "m + 9", "m + 35"], ["m", "k + 3", "k + 38"], ["k", "f + 11", "f + 49"], ["f", 5, "54"]], "target_var_name": "h", "target_value": 54, "value_dict": {"f": 5}, "is_reverse": true}} | 12,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 12; s = e + 15; l = p + 7; h = j + 2; j = l + 17; k = f + 11; m = k + 3; w = c + 16; f = 5; a = w + 6; p = m + 9; e = f + 1; q = s + 20. If f = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 17 to h, which gives h = l + 19.\n2. Substitute l = p + 7 to h, which gives h = p + 26.\n3. Substitute p = m + 9 to h, which gives h = m + 35.\n4. Substitute m = k + 3 to h, which gives h = k + 38.\n5. Substitute k = f + 11 to h, which gives h = f + 49.\n6. Substitute f = 5 to h, which gives h = 54.\n\nThus, the final answer is h = \\boxed{54}.",
"index": 12588,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 12; s = e + 15; l = p + 7; h = j + 2; j = l + 17; k = f + 11; m = k + 3; w = c + 16; f = 5; a = w + 6; p = m + 9; e = f + 1; q = s + 20. If f = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 3", "e": "a + 20", "u": "e + 20", "y": "u + 12", "m": "y + 10", "w": "m + 13", "v": "g + 15", "l": "v + 17", "o": "l + 19", "s": "o + 14", "b": "s + 8", "x": "b + 7", "g": 14}, "premises": {"g": 14}, "target": "w"}, "answer": {"steps": [["m", "y + 10", "y + 23"], ["y", "u + 12", "u + 35"], ["u", "e + 20", "e + 55"], ["e", "a + 20", "a + 75"], ["a", "g + 3", "g + 78"], ["g", 14, "92"]], "target_var_name": "w", "target_value": 92, "value_dict": {"g": 14}, "is_reverse": true}} | 12,589 | 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 = o + 14; m = y + 10; a = g + 3; l = v + 17; e = a + 20; x = b + 7; o = l + 19; y = u + 12; b = s + 8; g = 14; v = g + 15; u = e + 20; w = m + 13. If g = 14, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 10 to w, which gives w = y + 23.\n2. Substitute y = u + 12 to w, which gives w = u + 35.\n3. Substitute u = e + 20 to w, which gives w = e + 55.\n4. Substitute e = a + 20 to w, which gives w = a + 75.\n5. Substitute a = g + 3 to w, which gives w = g + 78.\n6. Substitute g = 14 to w, which gives w = 92.\n\nThus, the final answer is w = \\boxed{92}.",
"index": 12589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 14; m = y + 10; a = g + 3; l = v + 17; e = a + 20; x = b + 7; o = l + 19; y = u + 12; b = s + 8; g = 14; v = g + 15; u = e + 20; w = m + 13. If g = 14, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 1", "k": "c + 6", "p": "k + 1", "g": "p + 16", "u": "g + 4", "s": "u + 1", "f": "r + 5", "z": "f + 20", "b": "z + 14", "v": "b + 4", "h": "v + 9", "e": "h + 4", "r": 3}, "premises": {"r": 3}, "target": "s"}, "answer": {"steps": [["u", "g + 4", "g + 5"], ["g", "p + 16", "p + 21"], ["p", "k + 1", "k + 22"], ["k", "c + 6", "c + 28"], ["c", "r + 1", "r + 29"], ["r", 3, "32"]], "target_var_name": "s", "target_value": 32, "value_dict": {"r": 3}, "is_reverse": true}} | 12,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 1; p = k + 1; u = g + 4; e = h + 4; s = u + 1; b = z + 14; f = r + 5; r = 3; g = p + 16; k = c + 6; h = v + 9; z = f + 20; v = b + 4. If r = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 32,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 4 to s, which gives s = g + 5.\n2. Substitute g = p + 16 to s, which gives s = p + 21.\n3. Substitute p = k + 1 to s, which gives s = k + 22.\n4. Substitute k = c + 6 to s, which gives s = c + 28.\n5. Substitute c = r + 1 to s, which gives s = r + 29.\n6. Substitute r = 3 to s, which gives s = 32.\n\nThus, the final answer is s = \\boxed{32}.",
"index": 12590,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 1; p = k + 1; u = g + 4; e = h + 4; s = u + 1; b = z + 14; f = r + 5; r = 3; g = p + 16; k = c + 6; h = v + 9; z = f + 20; v = b + 4. If r = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 4", "l": "n + 13", "y": "l + 18", "k": "y + 18", "b": "k + 20", "d": "b + 18", "s": "m + 19", "r": "s + 6", "u": "r + 15", "f": "u + 19", "z": "f + 6", "g": "z + 18", "m": 15}, "premises": {"m": 15}, "target": "d"}, "answer": {"steps": [["b", "k + 20", "k + 38"], ["k", "y + 18", "y + 56"], ["y", "l + 18", "l + 74"], ["l", "n + 13", "n + 87"], ["n", "m + 4", "m + 91"], ["m", 15, "106"]], "target_var_name": "d", "target_value": 106, "value_dict": {"m": 15}, "is_reverse": true}} | 12,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 15; y = l + 18; l = n + 13; z = f + 6; s = m + 19; k = y + 18; d = b + 18; b = k + 20; f = u + 19; n = m + 4; m = 15; g = z + 18; r = s + 6. If m = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 20 to d, which gives d = k + 38.\n2. Substitute k = y + 18 to d, which gives d = y + 56.\n3. Substitute y = l + 18 to d, which gives d = l + 74.\n4. Substitute l = n + 13 to d, which gives d = n + 87.\n5. Substitute n = m + 4 to d, which gives d = m + 91.\n6. Substitute m = 15 to d, which gives d = 106.\n\nThus, the final answer is d = \\boxed{106}.",
"index": 12591,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 15; y = l + 18; l = n + 13; z = f + 6; s = m + 19; k = y + 18; d = b + 18; b = k + 20; f = u + 19; n = m + 4; m = 15; g = z + 18; r = s + 6. If m = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 15", "n": "r + 7", "y": "n + 16", "x": "y + 16", "g": "x + 20", "s": "g + 11", "b": "c + 8", "z": "b + 12", "o": "z + 17", "q": "o + 17", "f": "q + 13", "h": "f + 12", "c": 20}, "premises": {"c": 20}, "target": "s"}, "answer": {"steps": [["g", "x + 20", "x + 31"], ["x", "y + 16", "y + 47"], ["y", "n + 16", "n + 63"], ["n", "r + 7", "r + 70"], ["r", "c + 15", "c + 85"], ["c", 20, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"c": 20}, "is_reverse": true}} | 12,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 16; s = g + 11; h = f + 12; c = 20; q = o + 17; o = z + 17; z = b + 12; r = c + 15; y = n + 16; n = r + 7; g = x + 20; b = c + 8; f = q + 13. If c = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 20 to s, which gives s = x + 31.\n2. Substitute x = y + 16 to s, which gives s = y + 47.\n3. Substitute y = n + 16 to s, which gives s = n + 63.\n4. Substitute n = r + 7 to s, which gives s = r + 70.\n5. Substitute r = c + 15 to s, which gives s = c + 85.\n6. Substitute c = 20 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 12592,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 16; s = g + 11; h = f + 12; c = 20; q = o + 17; o = z + 17; z = b + 12; r = c + 15; y = n + 16; n = r + 7; g = x + 20; b = c + 8; f = q + 13. If c = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 12", "r": "x + 18", "j": "r + 12", "o": "j + 12", "y": "o + 9", "i": "y + 12", "h": "b + 18", "l": "h + 3", "w": "l + 4", "s": "w + 15", "n": "s + 5", "k": "n + 10", "b": 2}, "premises": {"b": 2}, "target": "i"}, "answer": {"steps": [["y", "o + 9", "o + 21"], ["o", "j + 12", "j + 33"], ["j", "r + 12", "r + 45"], ["r", "x + 18", "x + 63"], ["x", "b + 12", "b + 75"], ["b", 2, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"b": 2}, "is_reverse": true}} | 12,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 9; r = x + 18; w = l + 4; o = j + 12; n = s + 5; x = b + 12; l = h + 3; h = b + 18; j = r + 12; k = n + 10; s = w + 15; i = y + 12; b = 2. Given that b = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 9 to i, which gives i = o + 21.\n2. Substitute o = j + 12 to i, which gives i = j + 33.\n3. Substitute j = r + 12 to i, which gives i = r + 45.\n4. Substitute r = x + 18 to i, which gives i = x + 63.\n5. Substitute x = b + 12 to i, which gives i = b + 75.\n6. Substitute b = 2 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 12593,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 9; r = x + 18; w = l + 4; o = j + 12; n = s + 5; x = b + 12; l = h + 3; h = b + 18; j = r + 12; k = n + 10; s = w + 15; i = y + 12; b = 2. Given that b = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 16", "p": "a + 19", "k": "p + 13", "w": "k + 17", "x": "w + 8", "h": "x + 6", "m": "s + 3", "u": "m + 6", "v": "u + 20", "b": "v + 13", "g": "b + 15", "q": "g + 19", "s": 14}, "premises": {"s": 14}, "target": "h"}, "answer": {"steps": [["x", "w + 8", "w + 14"], ["w", "k + 17", "k + 31"], ["k", "p + 13", "p + 44"], ["p", "a + 19", "a + 63"], ["a", "s + 16", "s + 79"], ["s", 14, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"s": 14}, "is_reverse": true}} | 12,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 17; h = x + 6; x = w + 8; s = 14; u = m + 6; b = v + 13; p = a + 19; m = s + 3; v = u + 20; k = p + 13; q = g + 19; g = b + 15; a = s + 16. Given that s = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 8 to h, which gives h = w + 14.\n2. Substitute w = k + 17 to h, which gives h = k + 31.\n3. Substitute k = p + 13 to h, which gives h = p + 44.\n4. Substitute p = a + 19 to h, which gives h = a + 63.\n5. Substitute a = s + 16 to h, which gives h = s + 79.\n6. Substitute s = 14 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 12594,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 17; h = x + 6; x = w + 8; s = 14; u = m + 6; b = v + 13; p = a + 19; m = s + 3; v = u + 20; k = p + 13; q = g + 19; g = b + 15; a = s + 16. Given that s = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 12", "m": "n + 8", "u": "m + 7", "d": "u + 19", "i": "d + 5", "j": "i + 1", "p": "x + 12", "t": "p + 14", "y": "t + 9", "b": "y + 5", "s": "b + 11", "w": "s + 6", "x": 6}, "premises": {"x": 6}, "target": "j"}, "answer": {"steps": [["i", "d + 5", "d + 6"], ["d", "u + 19", "u + 25"], ["u", "m + 7", "m + 32"], ["m", "n + 8", "n + 40"], ["n", "x + 12", "x + 52"], ["x", 6, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"x": 6}, "is_reverse": true}} | 12,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 6; s = b + 11; w = s + 6; m = n + 8; y = t + 9; p = x + 12; d = u + 19; n = x + 12; t = p + 14; u = m + 7; i = d + 5; j = i + 1; b = y + 5. If x = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 5 to j, which gives j = d + 6.\n2. Substitute d = u + 19 to j, which gives j = u + 25.\n3. Substitute u = m + 7 to j, which gives j = m + 32.\n4. Substitute m = n + 8 to j, which gives j = n + 40.\n5. Substitute n = x + 12 to j, which gives j = x + 52.\n6. Substitute x = 6 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 12595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 6; s = b + 11; w = s + 6; m = n + 8; y = t + 9; p = x + 12; d = u + 19; n = x + 12; t = p + 14; u = m + 7; i = d + 5; j = i + 1; b = y + 5. If x = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 19", "i": "q + 13", "c": "i + 1", "w": "c + 8", "j": "w + 9", "v": "j + 10", "h": "z + 5", "o": "h + 11", "d": "o + 14", "g": "d + 20", "b": "g + 7", "s": "b + 13", "z": 6}, "premises": {"z": 6}, "target": "v"}, "answer": {"steps": [["j", "w + 9", "w + 19"], ["w", "c + 8", "c + 27"], ["c", "i + 1", "i + 28"], ["i", "q + 13", "q + 41"], ["q", "z + 19", "z + 60"], ["z", 6, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"z": 6}, "is_reverse": true}} | 12,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 14; v = j + 10; q = z + 19; i = q + 13; c = i + 1; b = g + 7; h = z + 5; o = h + 11; z = 6; w = c + 8; g = d + 20; s = b + 13; j = w + 9. If z = 6, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 9 to v, which gives v = w + 19.\n2. Substitute w = c + 8 to v, which gives v = c + 27.\n3. Substitute c = i + 1 to v, which gives v = i + 28.\n4. Substitute i = q + 13 to v, which gives v = q + 41.\n5. Substitute q = z + 19 to v, which gives v = z + 60.\n6. Substitute z = 6 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 12596,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 14; v = j + 10; q = z + 19; i = q + 13; c = i + 1; b = g + 7; h = z + 5; o = h + 11; z = 6; w = c + 8; g = d + 20; s = b + 13; j = w + 9. If z = 6, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 8", "e": "u + 18", "k": "e + 14", "s": "k + 2", "t": "s + 16", "z": "t + 18", "h": "w + 2", "i": "h + 17", "q": "i + 7", "l": "q + 17", "g": "l + 12", "b": "g + 14", "w": 3}, "premises": {"w": 3}, "target": "z"}, "answer": {"steps": [["t", "s + 16", "s + 34"], ["s", "k + 2", "k + 36"], ["k", "e + 14", "e + 50"], ["e", "u + 18", "u + 68"], ["u", "w + 8", "w + 76"], ["w", 3, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"w": 3}, "is_reverse": true}} | 12,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 17; u = w + 8; q = i + 7; g = l + 12; w = 3; h = w + 2; e = u + 18; t = s + 16; i = h + 17; s = k + 2; b = g + 14; z = t + 18; k = e + 14. Given that w = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 16 to z, which gives z = s + 34.\n2. Substitute s = k + 2 to z, which gives z = k + 36.\n3. Substitute k = e + 14 to z, which gives z = e + 50.\n4. Substitute e = u + 18 to z, which gives z = u + 68.\n5. Substitute u = w + 8 to z, which gives z = w + 76.\n6. Substitute w = 3 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 12597,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 17; u = w + 8; q = i + 7; g = l + 12; w = 3; h = w + 2; e = u + 18; t = s + 16; i = h + 17; s = k + 2; b = g + 14; z = t + 18; k = e + 14. Given that w = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 10", "e": "r + 13", "u": "e + 17", "h": "u + 18", "t": "h + 13", "l": "t + 5", "c": "m + 19", "n": "c + 12", "k": "n + 16", "o": "k + 20", "f": "o + 6", "d": "f + 14", "m": 5}, "premises": {"m": 5}, "target": "l"}, "answer": {"steps": [["t", "h + 13", "h + 18"], ["h", "u + 18", "u + 36"], ["u", "e + 17", "e + 53"], ["e", "r + 13", "r + 66"], ["r", "m + 10", "m + 76"], ["m", 5, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"m": 5}, "is_reverse": true}} | 12,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 16; h = u + 18; u = e + 17; f = o + 6; n = c + 12; o = k + 20; r = m + 10; t = h + 13; e = r + 13; d = f + 14; m = 5; l = t + 5; c = m + 19. If m = 5, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 13 to l, which gives l = h + 18.\n2. Substitute h = u + 18 to l, which gives l = u + 36.\n3. Substitute u = e + 17 to l, which gives l = e + 53.\n4. Substitute e = r + 13 to l, which gives l = r + 66.\n5. Substitute r = m + 10 to l, which gives l = m + 76.\n6. Substitute m = 5 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 12598,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 16; h = u + 18; u = e + 17; f = o + 6; n = c + 12; o = k + 20; r = m + 10; t = h + 13; e = r + 13; d = f + 14; m = 5; l = t + 5; c = m + 19. If m = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 6", "o": "q + 19", "i": "o + 13", "l": "i + 18", "d": "l + 9", "j": "d + 1", "n": "r + 10", "c": "n + 5", "s": "c + 1", "t": "s + 5", "a": "t + 7", "z": "a + 5", "r": 7}, "premises": {"r": 7}, "target": "j"}, "answer": {"steps": [["d", "l + 9", "l + 10"], ["l", "i + 18", "i + 28"], ["i", "o + 13", "o + 41"], ["o", "q + 19", "q + 60"], ["q", "r + 6", "r + 66"], ["r", 7, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"r": 7}, "is_reverse": true}} | 12,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 7; q = r + 6; s = c + 1; n = r + 10; r = 7; t = s + 5; l = i + 18; d = l + 9; c = n + 5; z = a + 5; j = d + 1; o = q + 19; i = o + 13. If r = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 9 to j, which gives j = l + 10.\n2. Substitute l = i + 18 to j, which gives j = i + 28.\n3. Substitute i = o + 13 to j, which gives j = o + 41.\n4. Substitute o = q + 19 to j, which gives j = q + 60.\n5. Substitute q = r + 6 to j, which gives j = r + 66.\n6. Substitute r = 7 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 12599,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 7; q = r + 6; s = c + 1; n = r + 10; r = 7; t = s + 5; l = i + 18; d = l + 9; c = n + 5; z = a + 5; j = d + 1; o = q + 19; i = o + 13. If r = 7, what is the resulting value of j?",
"split": "train"
} |
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