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": {"i": "v + 20", "y": "i + 16", "l": "y + 12", "r": "l + 8", "t": "r + 2", "x": "t + 18", "s": "v + 9", "g": "s + 2", "a": "g + 13", "n": "a + 2", "c": "n + 19", "z": "c + 11", "v": 9}, "premises": {"v": 9}, "target": "x"}, "answer": {"steps": [["t", "r + 2", "r + 20"], ["r", "l + 8", "l + 28"], ["l", "y + 12", "y + 40"], ["y", "i + 16", "i + 56"], ["i", "v + 20", "v + 76"], ["v", 9, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"v": 9}, "is_reverse": true}} | 6,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 13; y = i + 16; z = c + 11; l = y + 12; t = r + 2; n = a + 2; c = n + 19; g = s + 2; x = t + 18; v = 9; r = l + 8; s = v + 9; i = v + 20. If v = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 2 to x, which gives x = r + 20.\n2. Substitute r = l + 8 to x, which gives x = l + 28.\n3. Substitute l = y + 12 to x, which gives x = y + 40.\n4. Substitute y = i + 16 to x, which gives x = i + 56.\n5. Substitute i = v + 20 to x, which gives x = v + 76.\n6. Substitute v = 9 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 6500,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 13; y = i + 16; z = c + 11; l = y + 12; t = r + 2; n = a + 2; c = n + 19; g = s + 2; x = t + 18; v = 9; r = l + 8; s = v + 9; i = v + 20. If v = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 2", "g": "o + 7", "k": "g + 15", "b": "k + 5", "s": "b + 17", "a": "s + 1", "l": "y + 16", "u": "l + 18", "w": "u + 2", "d": "w + 4", "z": "d + 9", "x": "z + 11", "y": 8}, "premises": {"y": 8}, "target": "a"}, "answer": {"steps": [["s", "b + 17", "b + 18"], ["b", "k + 5", "k + 23"], ["k", "g + 15", "g + 38"], ["g", "o + 7", "o + 45"], ["o", "y + 2", "y + 47"], ["y", 8, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"y": 8}, "is_reverse": true}} | 6,501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 8; x = z + 11; w = u + 2; z = d + 9; a = s + 1; u = l + 18; b = k + 5; s = b + 17; g = o + 7; d = w + 4; o = y + 2; l = y + 16; k = g + 15. Given that y = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 17 to a, which gives a = b + 18.\n2. Substitute b = k + 5 to a, which gives a = k + 23.\n3. Substitute k = g + 15 to a, which gives a = g + 38.\n4. Substitute g = o + 7 to a, which gives a = o + 45.\n5. Substitute o = y + 2 to a, which gives a = y + 47.\n6. Substitute y = 8 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 6501,
"question": "Suppose a collection of variables is related by the following definitions: y = 8; x = z + 11; w = u + 2; z = d + 9; a = s + 1; u = l + 18; b = k + 5; s = b + 17; g = o + 7; d = w + 4; o = y + 2; l = y + 16; k = g + 15. Given that y = 8, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 4", "s": "f + 1", "q": "s + 16", "c": "q + 18", "p": "c + 15", "z": "p + 4", "l": "d + 2", "j": "l + 16", "h": "j + 20", "u": "h + 10", "y": "u + 2", "w": "y + 7", "d": 6}, "premises": {"d": 6}, "target": "z"}, "answer": {"steps": [["p", "c + 15", "c + 19"], ["c", "q + 18", "q + 37"], ["q", "s + 16", "s + 53"], ["s", "f + 1", "f + 54"], ["f", "d + 4", "d + 58"], ["d", 6, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"d": 6}, "is_reverse": true}} | 6,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 16; p = c + 15; j = l + 16; y = u + 2; h = j + 20; d = 6; u = h + 10; w = y + 7; c = q + 18; s = f + 1; z = p + 4; l = d + 2; f = d + 4. If d = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 15 to z, which gives z = c + 19.\n2. Substitute c = q + 18 to z, which gives z = q + 37.\n3. Substitute q = s + 16 to z, which gives z = s + 53.\n4. Substitute s = f + 1 to z, which gives z = f + 54.\n5. Substitute f = d + 4 to z, which gives z = d + 58.\n6. Substitute d = 6 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 6502,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 16; p = c + 15; j = l + 16; y = u + 2; h = j + 20; d = 6; u = h + 10; w = y + 7; c = q + 18; s = f + 1; z = p + 4; l = d + 2; f = d + 4. If d = 6, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 18", "t": "b + 15", "s": "t + 1", "i": "s + 17", "h": "i + 5", "l": "h + 10", "f": "v + 20", "x": "f + 9", "q": "x + 18", "j": "q + 15", "d": "j + 3", "n": "d + 7", "v": 19}, "premises": {"v": 19}, "target": "l"}, "answer": {"steps": [["h", "i + 5", "i + 15"], ["i", "s + 17", "s + 32"], ["s", "t + 1", "t + 33"], ["t", "b + 15", "b + 48"], ["b", "v + 18", "v + 66"], ["v", 19, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"v": 19}, "is_reverse": true}} | 6,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 18; x = f + 9; j = q + 15; d = j + 3; s = t + 1; t = b + 15; q = x + 18; f = v + 20; i = s + 17; h = i + 5; v = 19; l = h + 10; n = d + 7. If v = 19, determine the 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 h = i + 5 to l, which gives l = i + 15.\n2. Substitute i = s + 17 to l, which gives l = s + 32.\n3. Substitute s = t + 1 to l, which gives l = t + 33.\n4. Substitute t = b + 15 to l, which gives l = b + 48.\n5. Substitute b = v + 18 to l, which gives l = v + 66.\n6. Substitute v = 19 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 6503,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 18; x = f + 9; j = q + 15; d = j + 3; s = t + 1; t = b + 15; q = x + 18; f = v + 20; i = s + 17; h = i + 5; v = 19; l = h + 10; n = d + 7. If v = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 17", "x": "s + 17", "l": "x + 11", "m": "l + 15", "n": "m + 14", "f": "n + 1", "z": "u + 8", "b": "z + 1", "w": "b + 2", "j": "w + 9", "h": "j + 12", "v": "h + 11", "u": 9}, "premises": {"u": 9}, "target": "f"}, "answer": {"steps": [["n", "m + 14", "m + 15"], ["m", "l + 15", "l + 30"], ["l", "x + 11", "x + 41"], ["x", "s + 17", "s + 58"], ["s", "u + 17", "u + 75"], ["u", 9, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"u": 9}, "is_reverse": true}} | 6,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 1; v = h + 11; j = w + 9; z = u + 8; m = l + 15; b = z + 1; l = x + 11; h = j + 12; w = b + 2; u = 9; n = m + 14; s = u + 17; x = s + 17. Given that u = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 14 to f, which gives f = m + 15.\n2. Substitute m = l + 15 to f, which gives f = l + 30.\n3. Substitute l = x + 11 to f, which gives f = x + 41.\n4. Substitute x = s + 17 to f, which gives f = s + 58.\n5. Substitute s = u + 17 to f, which gives f = u + 75.\n6. Substitute u = 9 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 6504,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 1; v = h + 11; j = w + 9; z = u + 8; m = l + 15; b = z + 1; l = x + 11; h = j + 12; w = b + 2; u = 9; n = m + 14; s = u + 17; x = s + 17. Given that u = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 20", "b": "w + 6", "d": "b + 3", "p": "d + 20", "x": "p + 11", "l": "x + 16", "s": "i + 3", "f": "s + 6", "q": "f + 13", "j": "q + 4", "r": "j + 18", "e": "r + 7", "i": 8}, "premises": {"i": 8}, "target": "l"}, "answer": {"steps": [["x", "p + 11", "p + 27"], ["p", "d + 20", "d + 47"], ["d", "b + 3", "b + 50"], ["b", "w + 6", "w + 56"], ["w", "i + 20", "i + 76"], ["i", 8, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"i": 8}, "is_reverse": true}} | 6,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 3; b = w + 6; w = i + 20; p = d + 20; f = s + 6; i = 8; q = f + 13; r = j + 18; s = i + 3; x = p + 11; e = r + 7; j = q + 4; l = x + 16. If i = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 11 to l, which gives l = p + 27.\n2. Substitute p = d + 20 to l, which gives l = d + 47.\n3. Substitute d = b + 3 to l, which gives l = b + 50.\n4. Substitute b = w + 6 to l, which gives l = w + 56.\n5. Substitute w = i + 20 to l, which gives l = i + 76.\n6. Substitute i = 8 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 6505,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 3; b = w + 6; w = i + 20; p = d + 20; f = s + 6; i = 8; q = f + 13; r = j + 18; s = i + 3; x = p + 11; e = r + 7; j = q + 4; l = x + 16. If i = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 18", "r": "x + 1", "v": "r + 20", "t": "v + 15", "j": "t + 18", "i": "j + 18", "n": "w + 15", "m": "n + 12", "s": "m + 18", "p": "s + 10", "z": "p + 10", "e": "z + 8", "w": 5}, "premises": {"w": 5}, "target": "i"}, "answer": {"steps": [["j", "t + 18", "t + 36"], ["t", "v + 15", "v + 51"], ["v", "r + 20", "r + 71"], ["r", "x + 1", "x + 72"], ["x", "w + 18", "w + 90"], ["w", 5, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"w": 5}, "is_reverse": true}} | 6,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = x + 1; w = 5; j = t + 18; z = p + 10; i = j + 18; n = w + 15; m = n + 12; e = z + 8; v = r + 20; p = s + 10; t = v + 15; s = m + 18; x = w + 18. Given that w = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 18 to i, which gives i = t + 36.\n2. Substitute t = v + 15 to i, which gives i = v + 51.\n3. Substitute v = r + 20 to i, which gives i = r + 71.\n4. Substitute r = x + 1 to i, which gives i = x + 72.\n5. Substitute x = w + 18 to i, which gives i = w + 90.\n6. Substitute w = 5 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 6506,
"question": "Suppose a collection of variables is related by the following definitions: r = x + 1; w = 5; j = t + 18; z = p + 10; i = j + 18; n = w + 15; m = n + 12; e = z + 8; v = r + 20; p = s + 10; t = v + 15; s = m + 18; x = w + 18. Given that w = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 4", "t": "a + 3", "m": "t + 11", "b": "m + 12", "p": "b + 4", "d": "p + 14", "u": "k + 18", "y": "u + 4", "o": "y + 18", "n": "o + 3", "z": "n + 4", "j": "z + 4", "k": 6}, "premises": {"k": 6}, "target": "d"}, "answer": {"steps": [["p", "b + 4", "b + 18"], ["b", "m + 12", "m + 30"], ["m", "t + 11", "t + 41"], ["t", "a + 3", "a + 44"], ["a", "k + 4", "k + 48"], ["k", 6, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"k": 6}, "is_reverse": true}} | 6,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 18; m = t + 11; k = 6; j = z + 4; z = n + 4; a = k + 4; p = b + 4; n = o + 3; b = m + 12; o = y + 18; t = a + 3; d = p + 14; y = u + 4. Given that k = 6, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 4 to d, which gives d = b + 18.\n2. Substitute b = m + 12 to d, which gives d = m + 30.\n3. Substitute m = t + 11 to d, which gives d = t + 41.\n4. Substitute t = a + 3 to d, which gives d = a + 44.\n5. Substitute a = k + 4 to d, which gives d = k + 48.\n6. Substitute k = 6 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 6507,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 18; m = t + 11; k = 6; j = z + 4; z = n + 4; a = k + 4; p = b + 4; n = o + 3; b = m + 12; o = y + 18; t = a + 3; d = p + 14; y = u + 4. Given that k = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 19", "v": "n + 4", "c": "v + 2", "o": "c + 14", "b": "o + 19", "h": "b + 20", "r": "u + 4", "z": "r + 6", "w": "z + 9", "x": "w + 12", "f": "x + 20", "j": "f + 11", "u": 15}, "premises": {"u": 15}, "target": "h"}, "answer": {"steps": [["b", "o + 19", "o + 39"], ["o", "c + 14", "c + 53"], ["c", "v + 2", "v + 55"], ["v", "n + 4", "n + 59"], ["n", "u + 19", "u + 78"], ["u", 15, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"u": 15}, "is_reverse": true}} | 6,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 6; v = n + 4; h = b + 20; r = u + 4; c = v + 2; w = z + 9; x = w + 12; o = c + 14; j = f + 11; f = x + 20; n = u + 19; u = 15; b = o + 19. If u = 15, determine 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 b = o + 19 to h, which gives h = o + 39.\n2. Substitute o = c + 14 to h, which gives h = c + 53.\n3. Substitute c = v + 2 to h, which gives h = v + 55.\n4. Substitute v = n + 4 to h, which gives h = n + 59.\n5. Substitute n = u + 19 to h, which gives h = u + 78.\n6. Substitute u = 15 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 6508,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 6; v = n + 4; h = b + 20; r = u + 4; c = v + 2; w = z + 9; x = w + 12; o = c + 14; j = f + 11; f = x + 20; n = u + 19; u = 15; b = o + 19. If u = 15, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 15", "e": "k + 13", "y": "e + 12", "v": "y + 11", "s": "v + 3", "x": "s + 17", "c": "t + 5", "p": "c + 5", "j": "p + 19", "d": "j + 14", "a": "d + 11", "h": "a + 5", "t": 17}, "premises": {"t": 17}, "target": "x"}, "answer": {"steps": [["s", "v + 3", "v + 20"], ["v", "y + 11", "y + 31"], ["y", "e + 12", "e + 43"], ["e", "k + 13", "k + 56"], ["k", "t + 15", "t + 71"], ["t", 17, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"t": 17}, "is_reverse": true}} | 6,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 15; y = e + 12; x = s + 17; s = v + 3; v = y + 11; p = c + 5; d = j + 14; t = 17; j = p + 19; e = k + 13; a = d + 11; h = a + 5; c = t + 5. If t = 17, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 3 to x, which gives x = v + 20.\n2. Substitute v = y + 11 to x, which gives x = y + 31.\n3. Substitute y = e + 12 to x, which gives x = e + 43.\n4. Substitute e = k + 13 to x, which gives x = k + 56.\n5. Substitute k = t + 15 to x, which gives x = t + 71.\n6. Substitute t = 17 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 6509,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 15; y = e + 12; x = s + 17; s = v + 3; v = y + 11; p = c + 5; d = j + 14; t = 17; j = p + 19; e = k + 13; a = d + 11; h = a + 5; c = t + 5. If t = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 16", "p": "d + 6", "z": "p + 20", "m": "z + 5", "t": "m + 13", "e": "t + 18", "a": "g + 10", "n": "a + 17", "i": "n + 11", "y": "i + 12", "c": "y + 9", "q": "c + 2", "g": 12}, "premises": {"g": 12}, "target": "e"}, "answer": {"steps": [["t", "m + 13", "m + 31"], ["m", "z + 5", "z + 36"], ["z", "p + 20", "p + 56"], ["p", "d + 6", "d + 62"], ["d", "g + 16", "g + 78"], ["g", 12, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"g": 12}, "is_reverse": true}} | 6,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 10; c = y + 9; y = i + 12; e = t + 18; n = a + 17; d = g + 16; t = m + 13; m = z + 5; p = d + 6; q = c + 2; z = p + 20; i = n + 11; g = 12. If g = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 13 to e, which gives e = m + 31.\n2. Substitute m = z + 5 to e, which gives e = z + 36.\n3. Substitute z = p + 20 to e, which gives e = p + 56.\n4. Substitute p = d + 6 to e, which gives e = d + 62.\n5. Substitute d = g + 16 to e, which gives e = g + 78.\n6. Substitute g = 12 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 6510,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 10; c = y + 9; y = i + 12; e = t + 18; n = a + 17; d = g + 16; t = m + 13; m = z + 5; p = d + 6; q = c + 2; z = p + 20; i = n + 11; g = 12. If g = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 16", "a": "z + 1", "f": "a + 8", "c": "f + 18", "m": "c + 4", "l": "m + 11", "t": "g + 5", "u": "t + 13", "p": "u + 6", "x": "p + 9", "o": "x + 7", "b": "o + 10", "g": 9}, "premises": {"g": 9}, "target": "l"}, "answer": {"steps": [["m", "c + 4", "c + 15"], ["c", "f + 18", "f + 33"], ["f", "a + 8", "a + 41"], ["a", "z + 1", "z + 42"], ["z", "g + 16", "g + 58"], ["g", 9, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"g": 9}, "is_reverse": true}} | 6,511 | 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 = z + 1; l = m + 11; u = t + 13; c = f + 18; f = a + 8; z = g + 16; t = g + 5; x = p + 9; g = 9; o = x + 7; b = o + 10; m = c + 4; p = u + 6. If g = 9, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 4 to l, which gives l = c + 15.\n2. Substitute c = f + 18 to l, which gives l = f + 33.\n3. Substitute f = a + 8 to l, which gives l = a + 41.\n4. Substitute a = z + 1 to l, which gives l = z + 42.\n5. Substitute z = g + 16 to l, which gives l = g + 58.\n6. Substitute g = 9 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 6511,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 1; l = m + 11; u = t + 13; c = f + 18; f = a + 8; z = g + 16; t = g + 5; x = p + 9; g = 9; o = x + 7; b = o + 10; m = c + 4; p = u + 6. If g = 9, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "c + 11", "e": "w + 18", "q": "e + 6", "i": "q + 12", "l": "i + 16", "u": "l + 1", "s": "c + 13", "o": "s + 15", "x": "o + 8", "a": "x + 12", "y": "a + 2", "z": "y + 9", "c": 17}, "premises": {"c": 17}, "target": "u"}, "answer": {"steps": [["l", "i + 16", "i + 17"], ["i", "q + 12", "q + 29"], ["q", "e + 6", "e + 35"], ["e", "w + 18", "w + 53"], ["w", "c + 11", "c + 64"], ["c", 17, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"c": 17}, "is_reverse": true}} | 6,512 | 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 = o + 8; e = w + 18; a = x + 12; u = l + 1; c = 17; l = i + 16; i = q + 12; q = e + 6; w = c + 11; o = s + 15; s = c + 13; y = a + 2; z = y + 9. If c = 17, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 16 to u, which gives u = i + 17.\n2. Substitute i = q + 12 to u, which gives u = q + 29.\n3. Substitute q = e + 6 to u, which gives u = e + 35.\n4. Substitute e = w + 18 to u, which gives u = w + 53.\n5. Substitute w = c + 11 to u, which gives u = c + 64.\n6. Substitute c = 17 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 6512,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 8; e = w + 18; a = x + 12; u = l + 1; c = 17; l = i + 16; i = q + 12; q = e + 6; w = c + 11; o = s + 15; s = c + 13; y = a + 2; z = y + 9. If c = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 14", "y": "s + 8", "m": "y + 8", "i": "m + 7", "w": "i + 7", "b": "w + 19", "q": "d + 7", "e": "q + 17", "h": "e + 11", "f": "h + 2", "g": "f + 3", "u": "g + 17", "d": 15}, "premises": {"d": 15}, "target": "b"}, "answer": {"steps": [["w", "i + 7", "i + 26"], ["i", "m + 7", "m + 33"], ["m", "y + 8", "y + 41"], ["y", "s + 8", "s + 49"], ["s", "d + 14", "d + 63"], ["d", 15, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"d": 15}, "is_reverse": true}} | 6,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 7; e = q + 17; g = f + 3; b = w + 19; d = 15; s = d + 14; y = s + 8; i = m + 7; h = e + 11; f = h + 2; q = d + 7; u = g + 17; m = y + 8. Given that d = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 7 to b, which gives b = i + 26.\n2. Substitute i = m + 7 to b, which gives b = m + 33.\n3. Substitute m = y + 8 to b, which gives b = y + 41.\n4. Substitute y = s + 8 to b, which gives b = s + 49.\n5. Substitute s = d + 14 to b, which gives b = d + 63.\n6. Substitute d = 15 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 6513,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 7; e = q + 17; g = f + 3; b = w + 19; d = 15; s = d + 14; y = s + 8; i = m + 7; h = e + 11; f = h + 2; q = d + 7; u = g + 17; m = y + 8. Given that d = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 18", "w": "c + 14", "e": "w + 17", "r": "e + 20", "h": "r + 2", "i": "h + 6", "s": "g + 7", "x": "s + 9", "k": "x + 4", "v": "k + 2", "d": "v + 6", "a": "d + 4", "g": 11}, "premises": {"g": 11}, "target": "i"}, "answer": {"steps": [["h", "r + 2", "r + 8"], ["r", "e + 20", "e + 28"], ["e", "w + 17", "w + 45"], ["w", "c + 14", "c + 59"], ["c", "g + 18", "g + 77"], ["g", 11, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"g": 11}, "is_reverse": true}} | 6,514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = x + 4; s = g + 7; h = r + 2; d = v + 6; r = e + 20; a = d + 4; i = h + 6; g = 11; c = g + 18; v = k + 2; w = c + 14; x = s + 9; e = w + 17. If g = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 2 to i, which gives i = r + 8.\n2. Substitute r = e + 20 to i, which gives i = e + 28.\n3. Substitute e = w + 17 to i, which gives i = w + 45.\n4. Substitute w = c + 14 to i, which gives i = c + 59.\n5. Substitute c = g + 18 to i, which gives i = g + 77.\n6. Substitute g = 11 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 6514,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 4; s = g + 7; h = r + 2; d = v + 6; r = e + 20; a = d + 4; i = h + 6; g = 11; c = g + 18; v = k + 2; w = c + 14; x = s + 9; e = w + 17. If g = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 13", "b": "q + 10", "z": "b + 10", "g": "z + 13", "h": "g + 6", "k": "h + 13", "u": "d + 16", "r": "u + 16", "w": "r + 11", "c": "w + 14", "x": "c + 7", "f": "x + 6", "d": 4}, "premises": {"d": 4}, "target": "k"}, "answer": {"steps": [["h", "g + 6", "g + 19"], ["g", "z + 13", "z + 32"], ["z", "b + 10", "b + 42"], ["b", "q + 10", "q + 52"], ["q", "d + 13", "d + 65"], ["d", 4, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"d": 4}, "is_reverse": true}} | 6,515 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 16; h = g + 6; w = r + 11; g = z + 13; z = b + 10; c = w + 14; k = h + 13; d = 4; r = u + 16; q = d + 13; x = c + 7; f = x + 6; b = q + 10. If d = 4, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = g + 6 to k, which gives k = g + 19.\n2. Substitute g = z + 13 to k, which gives k = z + 32.\n3. Substitute z = b + 10 to k, which gives k = b + 42.\n4. Substitute b = q + 10 to k, which gives k = q + 52.\n5. Substitute q = d + 13 to k, which gives k = d + 65.\n6. Substitute d = 4 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 6515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 16; h = g + 6; w = r + 11; g = z + 13; z = b + 10; c = w + 14; k = h + 13; d = 4; r = u + 16; q = d + 13; x = c + 7; f = x + 6; b = q + 10. If d = 4, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 9", "t": "s + 19", "q": "t + 7", "c": "q + 6", "l": "c + 6", "o": "l + 19", "e": "h + 2", "y": "e + 4", "m": "y + 19", "k": "m + 15", "r": "k + 5", "i": "r + 3", "h": 3}, "premises": {"h": 3}, "target": "o"}, "answer": {"steps": [["l", "c + 6", "c + 25"], ["c", "q + 6", "q + 31"], ["q", "t + 7", "t + 38"], ["t", "s + 19", "s + 57"], ["s", "h + 9", "h + 66"], ["h", 3, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"h": 3}, "is_reverse": true}} | 6,516 | 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 = c + 6; c = q + 6; r = k + 5; o = l + 19; i = r + 3; m = y + 19; k = m + 15; t = s + 19; q = t + 7; y = e + 4; h = 3; s = h + 9; e = h + 2. If h = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 6 to o, which gives o = c + 25.\n2. Substitute c = q + 6 to o, which gives o = q + 31.\n3. Substitute q = t + 7 to o, which gives o = t + 38.\n4. Substitute t = s + 19 to o, which gives o = s + 57.\n5. Substitute s = h + 9 to o, which gives o = h + 66.\n6. Substitute h = 3 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 6516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = c + 6; c = q + 6; r = k + 5; o = l + 19; i = r + 3; m = y + 19; k = m + 15; t = s + 19; q = t + 7; y = e + 4; h = 3; s = h + 9; e = h + 2. If h = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 15", "r": "y + 10", "g": "r + 16", "x": "g + 7", "a": "x + 13", "m": "a + 9", "d": "c + 15", "k": "d + 4", "h": "k + 12", "p": "h + 14", "n": "p + 8", "l": "n + 19", "c": 14}, "premises": {"c": 14}, "target": "m"}, "answer": {"steps": [["a", "x + 13", "x + 22"], ["x", "g + 7", "g + 29"], ["g", "r + 16", "r + 45"], ["r", "y + 10", "y + 55"], ["y", "c + 15", "c + 70"], ["c", 14, "84"]], "target_var_name": "m", "target_value": 84, "value_dict": {"c": 14}, "is_reverse": true}} | 6,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = r + 16; m = a + 9; x = g + 7; h = k + 12; y = c + 15; r = y + 10; a = x + 13; l = n + 19; k = d + 4; c = 14; p = h + 14; n = p + 8; d = c + 15. If c = 14, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 13 to m, which gives m = x + 22.\n2. Substitute x = g + 7 to m, which gives m = g + 29.\n3. Substitute g = r + 16 to m, which gives m = r + 45.\n4. Substitute r = y + 10 to m, which gives m = y + 55.\n5. Substitute y = c + 15 to m, which gives m = c + 70.\n6. Substitute c = 14 to m, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 6517,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = r + 16; m = a + 9; x = g + 7; h = k + 12; y = c + 15; r = y + 10; a = x + 13; l = n + 19; k = d + 4; c = 14; p = h + 14; n = p + 8; d = c + 15. If c = 14, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 19", "k": "e + 4", "m": "k + 14", "f": "m + 13", "t": "f + 7", "d": "t + 9", "c": "n + 3", "w": "c + 3", "l": "w + 16", "v": "l + 20", "g": "v + 6", "r": "g + 1", "n": 20}, "premises": {"n": 20}, "target": "d"}, "answer": {"steps": [["t", "f + 7", "f + 16"], ["f", "m + 13", "m + 29"], ["m", "k + 14", "k + 43"], ["k", "e + 4", "e + 47"], ["e", "n + 19", "n + 66"], ["n", 20, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"n": 20}, "is_reverse": true}} | 6,518 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 3; l = w + 16; n = 20; r = g + 1; f = m + 13; m = k + 14; g = v + 6; v = l + 20; c = n + 3; e = n + 19; k = e + 4; t = f + 7; d = t + 9. If n = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 7 to d, which gives d = f + 16.\n2. Substitute f = m + 13 to d, which gives d = m + 29.\n3. Substitute m = k + 14 to d, which gives d = k + 43.\n4. Substitute k = e + 4 to d, which gives d = e + 47.\n5. Substitute e = n + 19 to d, which gives d = n + 66.\n6. Substitute n = 20 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 6518,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 3; l = w + 16; n = 20; r = g + 1; f = m + 13; m = k + 14; g = v + 6; v = l + 20; c = n + 3; e = n + 19; k = e + 4; t = f + 7; d = t + 9. If n = 20, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 6", "t": "o + 11", "k": "t + 13", "u": "k + 8", "s": "u + 10", "n": "s + 5", "l": "e + 1", "j": "l + 17", "f": "j + 19", "i": "f + 8", "p": "i + 5", "c": "p + 19", "e": 7}, "premises": {"e": 7}, "target": "n"}, "answer": {"steps": [["s", "u + 10", "u + 15"], ["u", "k + 8", "k + 23"], ["k", "t + 13", "t + 36"], ["t", "o + 11", "o + 47"], ["o", "e + 6", "e + 53"], ["e", 7, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"e": 7}, "is_reverse": true}} | 6,519 | 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 = f + 8; o = e + 6; l = e + 1; p = i + 5; f = j + 19; u = k + 8; e = 7; c = p + 19; s = u + 10; k = t + 13; n = s + 5; t = o + 11; j = l + 17. If e = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 10 to n, which gives n = u + 15.\n2. Substitute u = k + 8 to n, which gives n = k + 23.\n3. Substitute k = t + 13 to n, which gives n = t + 36.\n4. Substitute t = o + 11 to n, which gives n = o + 47.\n5. Substitute o = e + 6 to n, which gives n = e + 53.\n6. Substitute e = 7 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 6519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 8; o = e + 6; l = e + 1; p = i + 5; f = j + 19; u = k + 8; e = 7; c = p + 19; s = u + 10; k = t + 13; n = s + 5; t = o + 11; j = l + 17. If e = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 6", "l": "j + 10", "e": "l + 12", "r": "e + 15", "b": "r + 9", "h": "b + 8", "c": "x + 12", "w": "c + 6", "v": "w + 7", "m": "v + 9", "a": "m + 19", "z": "a + 20", "x": 7}, "premises": {"x": 7}, "target": "h"}, "answer": {"steps": [["b", "r + 9", "r + 17"], ["r", "e + 15", "e + 32"], ["e", "l + 12", "l + 44"], ["l", "j + 10", "j + 54"], ["j", "x + 6", "x + 60"], ["x", 7, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"x": 7}, "is_reverse": true}} | 6,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 6; e = l + 12; v = w + 7; j = x + 6; z = a + 20; r = e + 15; c = x + 12; l = j + 10; b = r + 9; x = 7; h = b + 8; m = v + 9; a = m + 19. If x = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 9 to h, which gives h = r + 17.\n2. Substitute r = e + 15 to h, which gives h = e + 32.\n3. Substitute e = l + 12 to h, which gives h = l + 44.\n4. Substitute l = j + 10 to h, which gives h = j + 54.\n5. Substitute j = x + 6 to h, which gives h = x + 60.\n6. Substitute x = 7 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 6520,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 6; e = l + 12; v = w + 7; j = x + 6; z = a + 20; r = e + 15; c = x + 12; l = j + 10; b = r + 9; x = 7; h = b + 8; m = v + 9; a = m + 19. If x = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 10", "q": "c + 15", "h": "q + 19", "s": "h + 1", "y": "s + 20", "e": "y + 8", "v": "b + 10", "n": "v + 5", "u": "n + 13", "o": "u + 10", "p": "o + 8", "t": "p + 13", "b": 8}, "premises": {"b": 8}, "target": "e"}, "answer": {"steps": [["y", "s + 20", "s + 28"], ["s", "h + 1", "h + 29"], ["h", "q + 19", "q + 48"], ["q", "c + 15", "c + 63"], ["c", "b + 10", "b + 73"], ["b", 8, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"b": 8}, "is_reverse": true}} | 6,521 | 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 = q + 19; e = y + 8; b = 8; n = v + 5; y = s + 20; t = p + 13; q = c + 15; p = o + 8; v = b + 10; u = n + 13; c = b + 10; s = h + 1; o = u + 10. If b = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 20 to e, which gives e = s + 28.\n2. Substitute s = h + 1 to e, which gives e = h + 29.\n3. Substitute h = q + 19 to e, which gives e = q + 48.\n4. Substitute q = c + 15 to e, which gives e = c + 63.\n5. Substitute c = b + 10 to e, which gives e = b + 73.\n6. Substitute b = 8 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 6521,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 19; e = y + 8; b = 8; n = v + 5; y = s + 20; t = p + 13; q = c + 15; p = o + 8; v = b + 10; u = n + 13; c = b + 10; s = h + 1; o = u + 10. If b = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 15", "r": "b + 18", "d": "r + 12", "h": "d + 19", "s": "h + 8", "n": "s + 18", "t": "v + 6", "i": "t + 8", "c": "i + 20", "a": "c + 9", "o": "a + 3", "z": "o + 8", "v": 18}, "premises": {"v": 18}, "target": "n"}, "answer": {"steps": [["s", "h + 8", "h + 26"], ["h", "d + 19", "d + 45"], ["d", "r + 12", "r + 57"], ["r", "b + 18", "b + 75"], ["b", "v + 15", "v + 90"], ["v", 18, "108"]], "target_var_name": "n", "target_value": 108, "value_dict": {"v": 18}, "is_reverse": true}} | 6,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = h + 8; v = 18; i = t + 8; t = v + 6; a = c + 9; o = a + 3; b = v + 15; h = d + 19; z = o + 8; c = i + 20; r = b + 18; n = s + 18; d = r + 12. Given that v = 18, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 8 to n, which gives n = h + 26.\n2. Substitute h = d + 19 to n, which gives n = d + 45.\n3. Substitute d = r + 12 to n, which gives n = r + 57.\n4. Substitute r = b + 18 to n, which gives n = b + 75.\n5. Substitute b = v + 15 to n, which gives n = v + 90.\n6. Substitute v = 18 to n, which gives n = 108.\n\nThus, the final answer is n = \\boxed{108}.",
"index": 6522,
"question": "Suppose a collection of variables is related by the following definitions: s = h + 8; v = 18; i = t + 8; t = v + 6; a = c + 9; o = a + 3; b = v + 15; h = d + 19; z = o + 8; c = i + 20; r = b + 18; n = s + 18; d = r + 12. Given that v = 18, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 20", "p": "z + 2", "m": "p + 3", "g": "m + 19", "t": "g + 20", "w": "t + 17", "c": "d + 9", "i": "c + 10", "k": "i + 18", "y": "k + 20", "o": "y + 12", "b": "o + 15", "d": 15}, "premises": {"d": 15}, "target": "w"}, "answer": {"steps": [["t", "g + 20", "g + 37"], ["g", "m + 19", "m + 56"], ["m", "p + 3", "p + 59"], ["p", "z + 2", "z + 61"], ["z", "d + 20", "d + 81"], ["d", 15, "96"]], "target_var_name": "w", "target_value": 96, "value_dict": {"d": 15}, "is_reverse": true}} | 6,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 20; y = k + 20; w = t + 17; c = d + 9; z = d + 20; g = m + 19; b = o + 15; i = c + 10; d = 15; o = y + 12; k = i + 18; p = z + 2; m = p + 3. If d = 15, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 20 to w, which gives w = g + 37.\n2. Substitute g = m + 19 to w, which gives w = m + 56.\n3. Substitute m = p + 3 to w, which gives w = p + 59.\n4. Substitute p = z + 2 to w, which gives w = z + 61.\n5. Substitute z = d + 20 to w, which gives w = d + 81.\n6. Substitute d = 15 to w, which gives w = 96.\n\nThus, the final answer is w = \\boxed{96}.",
"index": 6523,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 20; y = k + 20; w = t + 17; c = d + 9; z = d + 20; g = m + 19; b = o + 15; i = c + 10; d = 15; o = y + 12; k = i + 18; p = z + 2; m = p + 3. If d = 15, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 9", "t": "g + 4", "v": "t + 18", "a": "v + 8", "q": "a + 15", "x": "q + 5", "e": "d + 12", "o": "e + 19", "y": "o + 18", "u": "y + 10", "w": "u + 7", "b": "w + 19", "d": 7}, "premises": {"d": 7}, "target": "x"}, "answer": {"steps": [["q", "a + 15", "a + 20"], ["a", "v + 8", "v + 28"], ["v", "t + 18", "t + 46"], ["t", "g + 4", "g + 50"], ["g", "d + 9", "d + 59"], ["d", 7, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"d": 7}, "is_reverse": true}} | 6,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 19; t = g + 4; b = w + 19; x = q + 5; d = 7; e = d + 12; w = u + 7; q = a + 15; g = d + 9; y = o + 18; u = y + 10; a = v + 8; v = t + 18. If d = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 15 to x, which gives x = a + 20.\n2. Substitute a = v + 8 to x, which gives x = v + 28.\n3. Substitute v = t + 18 to x, which gives x = t + 46.\n4. Substitute t = g + 4 to x, which gives x = g + 50.\n5. Substitute g = d + 9 to x, which gives x = d + 59.\n6. Substitute d = 7 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 6524,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 19; t = g + 4; b = w + 19; x = q + 5; d = 7; e = d + 12; w = u + 7; q = a + 15; g = d + 9; y = o + 18; u = y + 10; a = v + 8; v = t + 18. If d = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 2", "l": "y + 11", "i": "l + 14", "w": "i + 17", "a": "w + 18", "o": "a + 20", "u": "p + 20", "s": "u + 13", "r": "s + 3", "v": "r + 1", "k": "v + 9", "g": "k + 9", "p": 15}, "premises": {"p": 15}, "target": "o"}, "answer": {"steps": [["a", "w + 18", "w + 38"], ["w", "i + 17", "i + 55"], ["i", "l + 14", "l + 69"], ["l", "y + 11", "y + 80"], ["y", "p + 2", "p + 82"], ["p", 15, "97"]], "target_var_name": "o", "target_value": 97, "value_dict": {"p": 15}, "is_reverse": true}} | 6,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 13; l = y + 11; y = p + 2; a = w + 18; u = p + 20; w = i + 17; r = s + 3; g = k + 9; i = l + 14; k = v + 9; o = a + 20; v = r + 1; p = 15. If p = 15, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 18 to o, which gives o = w + 38.\n2. Substitute w = i + 17 to o, which gives o = i + 55.\n3. Substitute i = l + 14 to o, which gives o = l + 69.\n4. Substitute l = y + 11 to o, which gives o = y + 80.\n5. Substitute y = p + 2 to o, which gives o = p + 82.\n6. Substitute p = 15 to o, which gives o = 97.\n\nThus, the final answer is o = \\boxed{97}.",
"index": 6525,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 13; l = y + 11; y = p + 2; a = w + 18; u = p + 20; w = i + 17; r = s + 3; g = k + 9; i = l + 14; k = v + 9; o = a + 20; v = r + 1; p = 15. If p = 15, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 1", "p": "t + 10", "u": "p + 20", "s": "u + 7", "e": "s + 4", "f": "e + 4", "r": "h + 10", "d": "r + 19", "b": "d + 16", "v": "b + 8", "a": "v + 18", "o": "a + 17", "h": 5}, "premises": {"h": 5}, "target": "f"}, "answer": {"steps": [["e", "s + 4", "s + 8"], ["s", "u + 7", "u + 15"], ["u", "p + 20", "p + 35"], ["p", "t + 10", "t + 45"], ["t", "h + 1", "h + 46"], ["h", 5, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"h": 5}, "is_reverse": true}} | 6,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = e + 4; t = h + 1; o = a + 17; s = u + 7; p = t + 10; v = b + 8; r = h + 10; e = s + 4; b = d + 16; h = 5; u = p + 20; a = v + 18; d = r + 19. Given that h = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 4 to f, which gives f = s + 8.\n2. Substitute s = u + 7 to f, which gives f = u + 15.\n3. Substitute u = p + 20 to f, which gives f = p + 35.\n4. Substitute p = t + 10 to f, which gives f = t + 45.\n5. Substitute t = h + 1 to f, which gives f = h + 46.\n6. Substitute h = 5 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 6526,
"question": "Suppose a collection of variables is related by the following definitions: f = e + 4; t = h + 1; o = a + 17; s = u + 7; p = t + 10; v = b + 8; r = h + 10; e = s + 4; b = d + 16; h = 5; u = p + 20; a = v + 18; d = r + 19. Given that h = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 13", "d": "x + 3", "n": "d + 19", "w": "n + 19", "z": "w + 14", "u": "z + 19", "l": "m + 2", "q": "l + 5", "t": "q + 2", "k": "t + 8", "a": "k + 17", "e": "a + 4", "m": 20}, "premises": {"m": 20}, "target": "u"}, "answer": {"steps": [["z", "w + 14", "w + 33"], ["w", "n + 19", "n + 52"], ["n", "d + 19", "d + 71"], ["d", "x + 3", "x + 74"], ["x", "m + 13", "m + 87"], ["m", 20, "107"]], "target_var_name": "u", "target_value": 107, "value_dict": {"m": 20}, "is_reverse": true}} | 6,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 3; x = m + 13; e = a + 4; w = n + 19; m = 20; q = l + 5; l = m + 2; z = w + 14; u = z + 19; k = t + 8; a = k + 17; n = d + 19; t = q + 2. Given that m = 20, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 14 to u, which gives u = w + 33.\n2. Substitute w = n + 19 to u, which gives u = n + 52.\n3. Substitute n = d + 19 to u, which gives u = d + 71.\n4. Substitute d = x + 3 to u, which gives u = x + 74.\n5. Substitute x = m + 13 to u, which gives u = m + 87.\n6. Substitute m = 20 to u, which gives u = 107.\n\nThus, the final answer is u = \\boxed{107}.",
"index": 6527,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 3; x = m + 13; e = a + 4; w = n + 19; m = 20; q = l + 5; l = m + 2; z = w + 14; u = z + 19; k = t + 8; a = k + 17; n = d + 19; t = q + 2. Given that m = 20, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 10", "o": "e + 20", "i": "o + 11", "q": "i + 17", "b": "q + 9", "r": "b + 11", "f": "t + 18", "p": "f + 8", "u": "p + 2", "l": "u + 11", "z": "l + 13", "w": "z + 18", "t": 18}, "premises": {"t": 18}, "target": "r"}, "answer": {"steps": [["b", "q + 9", "q + 20"], ["q", "i + 17", "i + 37"], ["i", "o + 11", "o + 48"], ["o", "e + 20", "e + 68"], ["e", "t + 10", "t + 78"], ["t", 18, "96"]], "target_var_name": "r", "target_value": 96, "value_dict": {"t": 18}, "is_reverse": true}} | 6,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = t + 18; b = q + 9; u = p + 2; o = e + 20; z = l + 13; e = t + 10; l = u + 11; q = i + 17; p = f + 8; t = 18; i = o + 11; r = b + 11; w = z + 18. Given that t = 18, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 9 to r, which gives r = q + 20.\n2. Substitute q = i + 17 to r, which gives r = i + 37.\n3. Substitute i = o + 11 to r, which gives r = o + 48.\n4. Substitute o = e + 20 to r, which gives r = e + 68.\n5. Substitute e = t + 10 to r, which gives r = t + 78.\n6. Substitute t = 18 to r, which gives r = 96.\n\nThus, the final answer is r = \\boxed{96}.",
"index": 6528,
"question": "Suppose a collection of variables is related by the following definitions: f = t + 18; b = q + 9; u = p + 2; o = e + 20; z = l + 13; e = t + 10; l = u + 11; q = i + 17; p = f + 8; t = 18; i = o + 11; r = b + 11; w = z + 18. Given that t = 18, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 1", "j": "h + 9", "l": "j + 9", "i": "l + 1", "r": "i + 6", "e": "r + 14", "f": "z + 16", "a": "f + 5", "p": "a + 18", "x": "p + 18", "u": "x + 20", "w": "u + 4", "z": 14}, "premises": {"z": 14}, "target": "e"}, "answer": {"steps": [["r", "i + 6", "i + 20"], ["i", "l + 1", "l + 21"], ["l", "j + 9", "j + 30"], ["j", "h + 9", "h + 39"], ["h", "z + 1", "z + 40"], ["z", 14, "54"]], "target_var_name": "e", "target_value": 54, "value_dict": {"z": 14}, "is_reverse": true}} | 6,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 16; z = 14; p = a + 18; j = h + 9; e = r + 14; i = l + 1; x = p + 18; r = i + 6; a = f + 5; w = u + 4; h = z + 1; l = j + 9; u = x + 20. Given that z = 14, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 6 to e, which gives e = i + 20.\n2. Substitute i = l + 1 to e, which gives e = l + 21.\n3. Substitute l = j + 9 to e, which gives e = j + 30.\n4. Substitute j = h + 9 to e, which gives e = h + 39.\n5. Substitute h = z + 1 to e, which gives e = z + 40.\n6. Substitute z = 14 to e, which gives e = 54.\n\nThus, the final answer is e = \\boxed{54}.",
"index": 6529,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 16; z = 14; p = a + 18; j = h + 9; e = r + 14; i = l + 1; x = p + 18; r = i + 6; a = f + 5; w = u + 4; h = z + 1; l = j + 9; u = x + 20. Given that z = 14, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 10", "x": "q + 9", "z": "x + 17", "s": "z + 11", "w": "s + 4", "t": "w + 9", "o": "y + 16", "u": "o + 11", "m": "u + 17", "r": "m + 17", "d": "r + 20", "k": "d + 11", "y": 14}, "premises": {"y": 14}, "target": "t"}, "answer": {"steps": [["w", "s + 4", "s + 13"], ["s", "z + 11", "z + 24"], ["z", "x + 17", "x + 41"], ["x", "q + 9", "q + 50"], ["q", "y + 10", "y + 60"], ["y", 14, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"y": 14}, "is_reverse": true}} | 6,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 17; s = z + 11; x = q + 9; w = s + 4; q = y + 10; d = r + 20; y = 14; m = u + 17; k = d + 11; t = w + 9; z = x + 17; u = o + 11; o = y + 16. Given that y = 14, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 4 to t, which gives t = s + 13.\n2. Substitute s = z + 11 to t, which gives t = z + 24.\n3. Substitute z = x + 17 to t, which gives t = x + 41.\n4. Substitute x = q + 9 to t, which gives t = q + 50.\n5. Substitute q = y + 10 to t, which gives t = y + 60.\n6. Substitute y = 14 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 6530,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 17; s = z + 11; x = q + 9; w = s + 4; q = y + 10; d = r + 20; y = 14; m = u + 17; k = d + 11; t = w + 9; z = x + 17; u = o + 11; o = y + 16. Given that y = 14, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "s + 9", "l": "a + 10", "f": "l + 9", "m": "f + 17", "z": "m + 18", "y": "z + 17", "k": "s + 16", "c": "k + 10", "i": "c + 8", "d": "i + 9", "u": "d + 11", "h": "u + 20", "s": 7}, "premises": {"s": 7}, "target": "y"}, "answer": {"steps": [["z", "m + 18", "m + 35"], ["m", "f + 17", "f + 52"], ["f", "l + 9", "l + 61"], ["l", "a + 10", "a + 71"], ["a", "s + 9", "s + 80"], ["s", 7, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"s": 7}, "is_reverse": true}} | 6,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 18; a = s + 9; h = u + 20; y = z + 17; m = f + 17; s = 7; d = i + 9; l = a + 10; f = l + 9; c = k + 10; u = d + 11; k = s + 16; i = c + 8. If s = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 18 to y, which gives y = m + 35.\n2. Substitute m = f + 17 to y, which gives y = f + 52.\n3. Substitute f = l + 9 to y, which gives y = l + 61.\n4. Substitute l = a + 10 to y, which gives y = a + 71.\n5. Substitute a = s + 9 to y, which gives y = s + 80.\n6. Substitute s = 7 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 6531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 18; a = s + 9; h = u + 20; y = z + 17; m = f + 17; s = 7; d = i + 9; l = a + 10; f = l + 9; c = k + 10; u = d + 11; k = s + 16; i = c + 8. If s = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 16", "z": "c + 5", "s": "z + 16", "l": "s + 14", "p": "l + 3", "y": "p + 17", "t": "h + 3", "n": "t + 2", "e": "n + 20", "r": "e + 6", "i": "r + 15", "m": "i + 17", "h": 12}, "premises": {"h": 12}, "target": "y"}, "answer": {"steps": [["p", "l + 3", "l + 20"], ["l", "s + 14", "s + 34"], ["s", "z + 16", "z + 50"], ["z", "c + 5", "c + 55"], ["c", "h + 16", "h + 71"], ["h", 12, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"h": 12}, "is_reverse": true}} | 6,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 2; p = l + 3; l = s + 14; y = p + 17; z = c + 5; r = e + 6; e = n + 20; m = i + 17; i = r + 15; s = z + 16; c = h + 16; h = 12; t = h + 3. If h = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 3 to y, which gives y = l + 20.\n2. Substitute l = s + 14 to y, which gives y = s + 34.\n3. Substitute s = z + 16 to y, which gives y = z + 50.\n4. Substitute z = c + 5 to y, which gives y = c + 55.\n5. Substitute c = h + 16 to y, which gives y = h + 71.\n6. Substitute h = 12 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 6532,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 2; p = l + 3; l = s + 14; y = p + 17; z = c + 5; r = e + 6; e = n + 20; m = i + 17; i = r + 15; s = z + 16; c = h + 16; h = 12; t = h + 3. If h = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 14", "v": "e + 12", "c": "v + 19", "a": "c + 11", "o": "a + 19", "g": "o + 13", "d": "k + 2", "n": "d + 17", "z": "n + 8", "p": "z + 12", "j": "p + 18", "w": "j + 9", "k": 11}, "premises": {"k": 11}, "target": "g"}, "answer": {"steps": [["o", "a + 19", "a + 32"], ["a", "c + 11", "c + 43"], ["c", "v + 19", "v + 62"], ["v", "e + 12", "e + 74"], ["e", "k + 14", "k + 88"], ["k", 11, "99"]], "target_var_name": "g", "target_value": 99, "value_dict": {"k": 11}, "is_reverse": true}} | 6,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 12; z = n + 8; e = k + 14; n = d + 17; v = e + 12; j = p + 18; o = a + 19; w = j + 9; c = v + 19; a = c + 11; d = k + 2; k = 11; g = o + 13. Given that k = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 19 to g, which gives g = a + 32.\n2. Substitute a = c + 11 to g, which gives g = c + 43.\n3. Substitute c = v + 19 to g, which gives g = v + 62.\n4. Substitute v = e + 12 to g, which gives g = e + 74.\n5. Substitute e = k + 14 to g, which gives g = k + 88.\n6. Substitute k = 11 to g, which gives g = 99.\n\nThus, the final answer is g = \\boxed{99}.",
"index": 6533,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 12; z = n + 8; e = k + 14; n = d + 17; v = e + 12; j = p + 18; o = a + 19; w = j + 9; c = v + 19; a = c + 11; d = k + 2; k = 11; g = o + 13. Given that k = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 11", "g": "u + 18", "b": "g + 15", "p": "b + 4", "t": "p + 11", "q": "t + 9", "o": "n + 18", "m": "o + 19", "a": "m + 8", "c": "a + 8", "x": "c + 12", "z": "x + 18", "n": 7}, "premises": {"n": 7}, "target": "q"}, "answer": {"steps": [["t", "p + 11", "p + 20"], ["p", "b + 4", "b + 24"], ["b", "g + 15", "g + 39"], ["g", "u + 18", "u + 57"], ["u", "n + 11", "n + 68"], ["n", 7, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"n": 7}, "is_reverse": true}} | 6,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 19; u = n + 11; q = t + 9; p = b + 4; c = a + 8; o = n + 18; n = 7; a = m + 8; x = c + 12; z = x + 18; b = g + 15; t = p + 11; g = u + 18. If n = 7, 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 t = p + 11 to q, which gives q = p + 20.\n2. Substitute p = b + 4 to q, which gives q = b + 24.\n3. Substitute b = g + 15 to q, which gives q = g + 39.\n4. Substitute g = u + 18 to q, which gives q = u + 57.\n5. Substitute u = n + 11 to q, which gives q = n + 68.\n6. Substitute n = 7 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 6534,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 19; u = n + 11; q = t + 9; p = b + 4; c = a + 8; o = n + 18; n = 7; a = m + 8; x = c + 12; z = x + 18; b = g + 15; t = p + 11; g = u + 18. If n = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 9", "v": "x + 6", "d": "v + 13", "e": "d + 11", "m": "e + 16", "r": "m + 6", "q": "p + 9", "k": "q + 12", "h": "k + 6", "i": "h + 2", "w": "i + 4", "j": "w + 2", "p": 13}, "premises": {"p": 13}, "target": "r"}, "answer": {"steps": [["m", "e + 16", "e + 22"], ["e", "d + 11", "d + 33"], ["d", "v + 13", "v + 46"], ["v", "x + 6", "x + 52"], ["x", "p + 9", "p + 61"], ["p", 13, "74"]], "target_var_name": "r", "target_value": 74, "value_dict": {"p": 13}, "is_reverse": true}} | 6,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 2; w = i + 4; e = d + 11; r = m + 6; v = x + 6; p = 13; d = v + 13; k = q + 12; h = k + 6; i = h + 2; q = p + 9; x = p + 9; m = e + 16. Given that p = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 16 to r, which gives r = e + 22.\n2. Substitute e = d + 11 to r, which gives r = d + 33.\n3. Substitute d = v + 13 to r, which gives r = v + 46.\n4. Substitute v = x + 6 to r, which gives r = x + 52.\n5. Substitute x = p + 9 to r, which gives r = p + 61.\n6. Substitute p = 13 to r, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 6535,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 2; w = i + 4; e = d + 11; r = m + 6; v = x + 6; p = 13; d = v + 13; k = q + 12; h = k + 6; i = h + 2; q = p + 9; x = p + 9; m = e + 16. Given that p = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 17", "y": "b + 17", "i": "y + 6", "u": "i + 10", "c": "u + 11", "x": "c + 5", "o": "g + 14", "s": "o + 12", "w": "s + 10", "a": "w + 4", "h": "a + 18", "m": "h + 2", "g": 5}, "premises": {"g": 5}, "target": "x"}, "answer": {"steps": [["c", "u + 11", "u + 16"], ["u", "i + 10", "i + 26"], ["i", "y + 6", "y + 32"], ["y", "b + 17", "b + 49"], ["b", "g + 17", "g + 66"], ["g", 5, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"g": 5}, "is_reverse": true}} | 6,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 5; y = b + 17; h = a + 18; a = w + 4; b = g + 17; x = c + 5; m = h + 2; c = u + 11; w = s + 10; s = o + 12; i = y + 6; u = i + 10; o = g + 14. If g = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 11 to x, which gives x = u + 16.\n2. Substitute u = i + 10 to x, which gives x = i + 26.\n3. Substitute i = y + 6 to x, which gives x = y + 32.\n4. Substitute y = b + 17 to x, which gives x = b + 49.\n5. Substitute b = g + 17 to x, which gives x = g + 66.\n6. Substitute g = 5 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 6536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 5; y = b + 17; h = a + 18; a = w + 4; b = g + 17; x = c + 5; m = h + 2; c = u + 11; w = s + 10; s = o + 12; i = y + 6; u = i + 10; o = g + 14. If g = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 1", "m": "q + 9", "d": "m + 14", "c": "d + 4", "n": "c + 17", "w": "n + 3", "j": "e + 12", "l": "j + 7", "s": "l + 18", "i": "s + 7", "z": "i + 14", "h": "z + 10", "e": 19}, "premises": {"e": 19}, "target": "w"}, "answer": {"steps": [["n", "c + 17", "c + 20"], ["c", "d + 4", "d + 24"], ["d", "m + 14", "m + 38"], ["m", "q + 9", "q + 47"], ["q", "e + 1", "e + 48"], ["e", 19, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"e": 19}, "is_reverse": true}} | 6,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = c + 17; z = i + 14; l = j + 7; q = e + 1; e = 19; m = q + 9; w = n + 3; s = l + 18; h = z + 10; d = m + 14; i = s + 7; j = e + 12; c = d + 4. Given that e = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 17 to w, which gives w = c + 20.\n2. Substitute c = d + 4 to w, which gives w = d + 24.\n3. Substitute d = m + 14 to w, which gives w = m + 38.\n4. Substitute m = q + 9 to w, which gives w = q + 47.\n5. Substitute q = e + 1 to w, which gives w = e + 48.\n6. Substitute e = 19 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 6537,
"question": "Suppose a collection of variables is related by the following definitions: n = c + 17; z = i + 14; l = j + 7; q = e + 1; e = 19; m = q + 9; w = n + 3; s = l + 18; h = z + 10; d = m + 14; i = s + 7; j = e + 12; c = d + 4. Given that e = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 17", "a": "z + 8", "b": "a + 9", "g": "b + 18", "u": "g + 13", "i": "u + 19", "x": "j + 9", "k": "x + 19", "y": "k + 11", "t": "y + 19", "n": "t + 6", "f": "n + 15", "j": 4}, "premises": {"j": 4}, "target": "i"}, "answer": {"steps": [["u", "g + 13", "g + 32"], ["g", "b + 18", "b + 50"], ["b", "a + 9", "a + 59"], ["a", "z + 8", "z + 67"], ["z", "j + 17", "j + 84"], ["j", 4, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"j": 4}, "is_reverse": true}} | 6,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 13; b = a + 9; k = x + 19; a = z + 8; f = n + 15; y = k + 11; x = j + 9; z = j + 17; i = u + 19; t = y + 19; g = b + 18; n = t + 6; j = 4. Given that j = 4, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 13 to i, which gives i = g + 32.\n2. Substitute g = b + 18 to i, which gives i = b + 50.\n3. Substitute b = a + 9 to i, which gives i = a + 59.\n4. Substitute a = z + 8 to i, which gives i = z + 67.\n5. Substitute z = j + 17 to i, which gives i = j + 84.\n6. Substitute j = 4 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 6538,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 13; b = a + 9; k = x + 19; a = z + 8; f = n + 15; y = k + 11; x = j + 9; z = j + 17; i = u + 19; t = y + 19; g = b + 18; n = t + 6; j = 4. Given that j = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 14", "q": "o + 15", "d": "q + 16", "e": "d + 3", "f": "e + 15", "c": "f + 19", "j": "i + 5", "l": "j + 14", "w": "l + 2", "y": "w + 11", "u": "y + 6", "m": "u + 11", "i": 2}, "premises": {"i": 2}, "target": "c"}, "answer": {"steps": [["f", "e + 15", "e + 34"], ["e", "d + 3", "d + 37"], ["d", "q + 16", "q + 53"], ["q", "o + 15", "o + 68"], ["o", "i + 14", "i + 82"], ["i", 2, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"i": 2}, "is_reverse": true}} | 6,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 2; d = q + 16; c = f + 19; j = i + 5; i = 2; l = j + 14; m = u + 11; e = d + 3; o = i + 14; u = y + 6; q = o + 15; y = w + 11; f = e + 15. Given that i = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 15 to c, which gives c = e + 34.\n2. Substitute e = d + 3 to c, which gives c = d + 37.\n3. Substitute d = q + 16 to c, which gives c = q + 53.\n4. Substitute q = o + 15 to c, which gives c = o + 68.\n5. Substitute o = i + 14 to c, which gives c = i + 82.\n6. Substitute i = 2 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 6539,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 2; d = q + 16; c = f + 19; j = i + 5; i = 2; l = j + 14; m = u + 11; e = d + 3; o = i + 14; u = y + 6; q = o + 15; y = w + 11; f = e + 15. Given that i = 2, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 11", "h": "t + 9", "a": "h + 6", "z": "a + 13", "v": "z + 3", "m": "v + 1", "o": "d + 15", "y": "o + 18", "l": "y + 18", "w": "l + 16", "k": "w + 16", "u": "k + 19", "d": 19}, "premises": {"d": 19}, "target": "m"}, "answer": {"steps": [["v", "z + 3", "z + 4"], ["z", "a + 13", "a + 17"], ["a", "h + 6", "h + 23"], ["h", "t + 9", "t + 32"], ["t", "d + 11", "d + 43"], ["d", 19, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"d": 19}, "is_reverse": true}} | 6,540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 16; o = d + 15; v = z + 3; u = k + 19; m = v + 1; t = d + 11; y = o + 18; l = y + 18; a = h + 6; h = t + 9; z = a + 13; w = l + 16; d = 19. If d = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 3 to m, which gives m = z + 4.\n2. Substitute z = a + 13 to m, which gives m = a + 17.\n3. Substitute a = h + 6 to m, which gives m = h + 23.\n4. Substitute h = t + 9 to m, which gives m = t + 32.\n5. Substitute t = d + 11 to m, which gives m = d + 43.\n6. Substitute d = 19 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 6540,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 16; o = d + 15; v = z + 3; u = k + 19; m = v + 1; t = d + 11; y = o + 18; l = y + 18; a = h + 6; h = t + 9; z = a + 13; w = l + 16; d = 19. If d = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 3", "w": "r + 11", "p": "w + 5", "a": "p + 13", "u": "a + 19", "c": "u + 8", "l": "k + 13", "e": "l + 3", "f": "e + 16", "g": "f + 6", "y": "g + 1", "t": "y + 5", "k": 3}, "premises": {"k": 3}, "target": "c"}, "answer": {"steps": [["u", "a + 19", "a + 27"], ["a", "p + 13", "p + 40"], ["p", "w + 5", "w + 45"], ["w", "r + 11", "r + 56"], ["r", "k + 3", "k + 59"], ["k", 3, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"k": 3}, "is_reverse": true}} | 6,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 11; p = w + 5; r = k + 3; e = l + 3; y = g + 1; u = a + 19; f = e + 16; a = p + 13; t = y + 5; k = 3; c = u + 8; l = k + 13; g = f + 6. If k = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 19 to c, which gives c = a + 27.\n2. Substitute a = p + 13 to c, which gives c = p + 40.\n3. Substitute p = w + 5 to c, which gives c = w + 45.\n4. Substitute w = r + 11 to c, which gives c = r + 56.\n5. Substitute r = k + 3 to c, which gives c = k + 59.\n6. Substitute k = 3 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 6541,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 11; p = w + 5; r = k + 3; e = l + 3; y = g + 1; u = a + 19; f = e + 16; a = p + 13; t = y + 5; k = 3; c = u + 8; l = k + 13; g = f + 6. If k = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 12", "e": "i + 16", "w": "e + 1", "k": "w + 20", "t": "k + 4", "a": "t + 12", "p": "f + 16", "n": "p + 5", "l": "n + 9", "u": "l + 12", "y": "u + 8", "b": "y + 12", "f": 16}, "premises": {"f": 16}, "target": "a"}, "answer": {"steps": [["t", "k + 4", "k + 16"], ["k", "w + 20", "w + 36"], ["w", "e + 1", "e + 37"], ["e", "i + 16", "i + 53"], ["i", "f + 12", "f + 65"], ["f", 16, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"f": 16}, "is_reverse": true}} | 6,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = k + 4; w = e + 1; y = u + 8; a = t + 12; i = f + 12; e = i + 16; b = y + 12; n = p + 5; u = l + 12; k = w + 20; f = 16; l = n + 9; p = f + 16. If f = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 4 to a, which gives a = k + 16.\n2. Substitute k = w + 20 to a, which gives a = w + 36.\n3. Substitute w = e + 1 to a, which gives a = e + 37.\n4. Substitute e = i + 16 to a, which gives a = i + 53.\n5. Substitute i = f + 12 to a, which gives a = f + 65.\n6. Substitute f = 16 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 6542,
"question": "Consider a system of variables where each variable is defined as follows: t = k + 4; w = e + 1; y = u + 8; a = t + 12; i = f + 12; e = i + 16; b = y + 12; n = p + 5; u = l + 12; k = w + 20; f = 16; l = n + 9; p = f + 16. If f = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 4", "v": "e + 1", "l": "v + 10", "j": "l + 15", "u": "j + 4", "x": "u + 3", "h": "d + 1", "q": "h + 5", "s": "q + 18", "p": "s + 6", "n": "p + 17", "g": "n + 2", "d": 14}, "premises": {"d": 14}, "target": "x"}, "answer": {"steps": [["u", "j + 4", "j + 7"], ["j", "l + 15", "l + 22"], ["l", "v + 10", "v + 32"], ["v", "e + 1", "e + 33"], ["e", "d + 4", "d + 37"], ["d", 14, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"d": 14}, "is_reverse": true}} | 6,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 1; j = l + 15; g = n + 2; d = 14; e = d + 4; p = s + 6; l = v + 10; n = p + 17; h = d + 1; x = u + 3; u = j + 4; s = q + 18; q = h + 5. If d = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 4 to x, which gives x = j + 7.\n2. Substitute j = l + 15 to x, which gives x = l + 22.\n3. Substitute l = v + 10 to x, which gives x = v + 32.\n4. Substitute v = e + 1 to x, which gives x = e + 33.\n5. Substitute e = d + 4 to x, which gives x = d + 37.\n6. Substitute d = 14 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 6543,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 1; j = l + 15; g = n + 2; d = 14; e = d + 4; p = s + 6; l = v + 10; n = p + 17; h = d + 1; x = u + 3; u = j + 4; s = q + 18; q = h + 5. If d = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 5", "d": "g + 20", "z": "d + 19", "n": "z + 12", "b": "n + 2", "r": "b + 1", "q": "a + 10", "k": "q + 2", "l": "k + 2", "w": "l + 9", "h": "w + 16", "s": "h + 2", "a": 18}, "premises": {"a": 18}, "target": "r"}, "answer": {"steps": [["b", "n + 2", "n + 3"], ["n", "z + 12", "z + 15"], ["z", "d + 19", "d + 34"], ["d", "g + 20", "g + 54"], ["g", "a + 5", "a + 59"], ["a", 18, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"a": 18}, "is_reverse": true}} | 6,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = k + 2; h = w + 16; n = z + 12; q = a + 10; w = l + 9; z = d + 19; b = n + 2; g = a + 5; k = q + 2; a = 18; r = b + 1; s = h + 2; d = g + 20. Given that a = 18, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 2 to r, which gives r = n + 3.\n2. Substitute n = z + 12 to r, which gives r = z + 15.\n3. Substitute z = d + 19 to r, which gives r = d + 34.\n4. Substitute d = g + 20 to r, which gives r = g + 54.\n5. Substitute g = a + 5 to r, which gives r = a + 59.\n6. Substitute a = 18 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 6544,
"question": "Suppose a collection of variables is related by the following definitions: l = k + 2; h = w + 16; n = z + 12; q = a + 10; w = l + 9; z = d + 19; b = n + 2; g = a + 5; k = q + 2; a = 18; r = b + 1; s = h + 2; d = g + 20. Given that a = 18, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 16", "z": "q + 2", "v": "z + 17", "n": "v + 9", "g": "n + 15", "b": "g + 7", "t": "f + 12", "s": "t + 12", "k": "s + 13", "r": "k + 2", "a": "r + 4", "o": "a + 2", "f": 17}, "premises": {"f": 17}, "target": "b"}, "answer": {"steps": [["g", "n + 15", "n + 22"], ["n", "v + 9", "v + 31"], ["v", "z + 17", "z + 48"], ["z", "q + 2", "q + 50"], ["q", "f + 16", "f + 66"], ["f", 17, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"f": 17}, "is_reverse": true}} | 6,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 17; s = t + 12; o = a + 2; k = s + 13; t = f + 12; a = r + 4; b = g + 7; q = f + 16; n = v + 9; z = q + 2; r = k + 2; v = z + 17; g = n + 15. Given that f = 17, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 15 to b, which gives b = n + 22.\n2. Substitute n = v + 9 to b, which gives b = v + 31.\n3. Substitute v = z + 17 to b, which gives b = z + 48.\n4. Substitute z = q + 2 to b, which gives b = q + 50.\n5. Substitute q = f + 16 to b, which gives b = f + 66.\n6. Substitute f = 17 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 6545,
"question": "Suppose a collection of variables is related by the following definitions: f = 17; s = t + 12; o = a + 2; k = s + 13; t = f + 12; a = r + 4; b = g + 7; q = f + 16; n = v + 9; z = q + 2; r = k + 2; v = z + 17; g = n + 15. Given that f = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 14", "e": "a + 2", "q": "e + 7", "m": "q + 10", "v": "m + 3", "i": "v + 20", "y": "k + 14", "n": "y + 4", "g": "n + 5", "d": "g + 14", "c": "d + 8", "r": "c + 1", "k": 13}, "premises": {"k": 13}, "target": "i"}, "answer": {"steps": [["v", "m + 3", "m + 23"], ["m", "q + 10", "q + 33"], ["q", "e + 7", "e + 40"], ["e", "a + 2", "a + 42"], ["a", "k + 14", "k + 56"], ["k", 13, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"k": 13}, "is_reverse": true}} | 6,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 13; i = v + 20; e = a + 2; d = g + 14; c = d + 8; a = k + 14; v = m + 3; q = e + 7; m = q + 10; r = c + 1; g = n + 5; y = k + 14; n = y + 4. Given that k = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 3 to i, which gives i = m + 23.\n2. Substitute m = q + 10 to i, which gives i = q + 33.\n3. Substitute q = e + 7 to i, which gives i = e + 40.\n4. Substitute e = a + 2 to i, which gives i = a + 42.\n5. Substitute a = k + 14 to i, which gives i = k + 56.\n6. Substitute k = 13 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 6546,
"question": "Suppose a collection of variables is related by the following definitions: k = 13; i = v + 20; e = a + 2; d = g + 14; c = d + 8; a = k + 14; v = m + 3; q = e + 7; m = q + 10; r = c + 1; g = n + 5; y = k + 14; n = y + 4. Given that k = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 5", "l": "m + 8", "r": "l + 9", "o": "r + 13", "i": "o + 3", "h": "i + 5", "n": "x + 3", "p": "n + 9", "v": "p + 8", "e": "v + 13", "y": "e + 18", "a": "y + 9", "x": 9}, "premises": {"x": 9}, "target": "h"}, "answer": {"steps": [["i", "o + 3", "o + 8"], ["o", "r + 13", "r + 21"], ["r", "l + 9", "l + 30"], ["l", "m + 8", "m + 38"], ["m", "x + 5", "x + 43"], ["x", 9, "52"]], "target_var_name": "h", "target_value": 52, "value_dict": {"x": 9}, "is_reverse": true}} | 6,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = i + 5; i = o + 3; o = r + 13; p = n + 9; a = y + 9; v = p + 8; n = x + 3; e = v + 13; r = l + 9; m = x + 5; y = e + 18; x = 9; l = m + 8. Given that x = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 3 to h, which gives h = o + 8.\n2. Substitute o = r + 13 to h, which gives h = r + 21.\n3. Substitute r = l + 9 to h, which gives h = l + 30.\n4. Substitute l = m + 8 to h, which gives h = m + 38.\n5. Substitute m = x + 5 to h, which gives h = x + 43.\n6. Substitute x = 9 to h, which gives h = 52.\n\nThus, the final answer is h = \\boxed{52}.",
"index": 6547,
"question": "Suppose a collection of variables is related by the following definitions: h = i + 5; i = o + 3; o = r + 13; p = n + 9; a = y + 9; v = p + 8; n = x + 3; e = v + 13; r = l + 9; m = x + 5; y = e + 18; x = 9; l = m + 8. Given that x = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 16", "j": "n + 16", "k": "j + 4", "s": "k + 13", "q": "s + 11", "t": "q + 18", "r": "d + 14", "a": "r + 3", "f": "a + 10", "p": "f + 13", "g": "p + 1", "z": "g + 7", "d": 20}, "premises": {"d": 20}, "target": "t"}, "answer": {"steps": [["q", "s + 11", "s + 29"], ["s", "k + 13", "k + 42"], ["k", "j + 4", "j + 46"], ["j", "n + 16", "n + 62"], ["n", "d + 16", "d + 78"], ["d", 20, "98"]], "target_var_name": "t", "target_value": 98, "value_dict": {"d": 20}, "is_reverse": true}} | 6,548 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 16; r = d + 14; k = j + 4; a = r + 3; d = 20; g = p + 1; t = q + 18; p = f + 13; f = a + 10; q = s + 11; j = n + 16; z = g + 7; s = k + 13. If d = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 11 to t, which gives t = s + 29.\n2. Substitute s = k + 13 to t, which gives t = k + 42.\n3. Substitute k = j + 4 to t, which gives t = j + 46.\n4. Substitute j = n + 16 to t, which gives t = n + 62.\n5. Substitute n = d + 16 to t, which gives t = d + 78.\n6. Substitute d = 20 to t, which gives t = 98.\n\nThus, the final answer is t = \\boxed{98}.",
"index": 6548,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 16; r = d + 14; k = j + 4; a = r + 3; d = 20; g = p + 1; t = q + 18; p = f + 13; f = a + 10; q = s + 11; j = n + 16; z = g + 7; s = k + 13. If d = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 15", "v": "i + 5", "n": "v + 2", "k": "n + 20", "b": "k + 20", "d": "b + 16", "f": "u + 8", "a": "f + 11", "o": "a + 5", "q": "o + 4", "w": "q + 19", "r": "w + 3", "u": 20}, "premises": {"u": 20}, "target": "d"}, "answer": {"steps": [["b", "k + 20", "k + 36"], ["k", "n + 20", "n + 56"], ["n", "v + 2", "v + 58"], ["v", "i + 5", "i + 63"], ["i", "u + 15", "u + 78"], ["u", 20, "98"]], "target_var_name": "d", "target_value": 98, "value_dict": {"u": 20}, "is_reverse": true}} | 6,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 5; r = w + 3; f = u + 8; u = 20; b = k + 20; a = f + 11; w = q + 19; q = o + 4; d = b + 16; n = v + 2; o = a + 5; i = u + 15; k = n + 20. Given that u = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 20 to d, which gives d = k + 36.\n2. Substitute k = n + 20 to d, which gives d = n + 56.\n3. Substitute n = v + 2 to d, which gives d = v + 58.\n4. Substitute v = i + 5 to d, which gives d = i + 63.\n5. Substitute i = u + 15 to d, which gives d = u + 78.\n6. Substitute u = 20 to d, which gives d = 98.\n\nThus, the final answer is d = \\boxed{98}.",
"index": 6549,
"question": "Suppose a collection of variables is related by the following definitions: v = i + 5; r = w + 3; f = u + 8; u = 20; b = k + 20; a = f + 11; w = q + 19; q = o + 4; d = b + 16; n = v + 2; o = a + 5; i = u + 15; k = n + 20. Given that u = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 3", "r": "g + 4", "a": "r + 13", "e": "a + 10", "k": "e + 19", "l": "k + 14", "w": "z + 5", "h": "w + 9", "q": "h + 14", "u": "q + 5", "t": "u + 7", "n": "t + 20", "z": 6}, "premises": {"z": 6}, "target": "l"}, "answer": {"steps": [["k", "e + 19", "e + 33"], ["e", "a + 10", "a + 43"], ["a", "r + 13", "r + 56"], ["r", "g + 4", "g + 60"], ["g", "z + 3", "z + 63"], ["z", 6, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"z": 6}, "is_reverse": true}} | 6,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 6; l = k + 14; t = u + 7; h = w + 9; k = e + 19; e = a + 10; w = z + 5; q = h + 14; u = q + 5; n = t + 20; a = r + 13; r = g + 4; g = z + 3. If z = 6, determine 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 k = e + 19 to l, which gives l = e + 33.\n2. Substitute e = a + 10 to l, which gives l = a + 43.\n3. Substitute a = r + 13 to l, which gives l = r + 56.\n4. Substitute r = g + 4 to l, which gives l = g + 60.\n5. Substitute g = z + 3 to l, which gives l = z + 63.\n6. Substitute z = 6 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 6550,
"question": "Consider a system of variables where each variable is defined as follows: z = 6; l = k + 14; t = u + 7; h = w + 9; k = e + 19; e = a + 10; w = z + 5; q = h + 14; u = q + 5; n = t + 20; a = r + 13; r = g + 4; g = z + 3. If z = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 15", "t": "a + 6", "v": "t + 15", "b": "v + 16", "r": "b + 12", "x": "r + 16", "h": "d + 15", "l": "h + 1", "c": "l + 1", "p": "c + 13", "s": "p + 13", "k": "s + 20", "d": 20}, "premises": {"d": 20}, "target": "x"}, "answer": {"steps": [["r", "b + 12", "b + 28"], ["b", "v + 16", "v + 44"], ["v", "t + 15", "t + 59"], ["t", "a + 6", "a + 65"], ["a", "d + 15", "d + 80"], ["d", 20, "100"]], "target_var_name": "x", "target_value": 100, "value_dict": {"d": 20}, "is_reverse": true}} | 6,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 16; d = 20; l = h + 1; t = a + 6; r = b + 12; c = l + 1; k = s + 20; a = d + 15; s = p + 13; x = r + 16; h = d + 15; p = c + 13; v = t + 15. Given that d = 20, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 12 to x, which gives x = b + 28.\n2. Substitute b = v + 16 to x, which gives x = v + 44.\n3. Substitute v = t + 15 to x, which gives x = t + 59.\n4. Substitute t = a + 6 to x, which gives x = a + 65.\n5. Substitute a = d + 15 to x, which gives x = d + 80.\n6. Substitute d = 20 to x, which gives x = 100.\n\nThus, the final answer is x = \\boxed{100}.",
"index": 6551,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 16; d = 20; l = h + 1; t = a + 6; r = b + 12; c = l + 1; k = s + 20; a = d + 15; s = p + 13; x = r + 16; h = d + 15; p = c + 13; v = t + 15. Given that d = 20, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 7", "u": "t + 3", "v": "u + 11", "m": "v + 11", "d": "m + 6", "x": "d + 16", "e": "f + 19", "l": "e + 8", "p": "l + 5", "h": "p + 17", "w": "h + 10", "q": "w + 7", "f": 20}, "premises": {"f": 20}, "target": "x"}, "answer": {"steps": [["d", "m + 6", "m + 22"], ["m", "v + 11", "v + 33"], ["v", "u + 11", "u + 44"], ["u", "t + 3", "t + 47"], ["t", "f + 7", "f + 54"], ["f", 20, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"f": 20}, "is_reverse": true}} | 6,552 | 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 + 11; f = 20; x = d + 16; p = l + 5; w = h + 10; h = p + 17; m = v + 11; d = m + 6; t = f + 7; l = e + 8; q = w + 7; u = t + 3; e = f + 19. If f = 20, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = m + 6 to x, which gives x = m + 22.\n2. Substitute m = v + 11 to x, which gives x = v + 33.\n3. Substitute v = u + 11 to x, which gives x = u + 44.\n4. Substitute u = t + 3 to x, which gives x = t + 47.\n5. Substitute t = f + 7 to x, which gives x = f + 54.\n6. Substitute f = 20 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 6552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 11; f = 20; x = d + 16; p = l + 5; w = h + 10; h = p + 17; m = v + 11; d = m + 6; t = f + 7; l = e + 8; q = w + 7; u = t + 3; e = f + 19. If f = 20, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 12", "f": "w + 9", "u": "f + 13", "h": "u + 3", "l": "h + 11", "b": "l + 7", "x": "e + 20", "j": "x + 6", "c": "j + 12", "q": "c + 8", "p": "q + 4", "n": "p + 5", "e": 19}, "premises": {"e": 19}, "target": "b"}, "answer": {"steps": [["l", "h + 11", "h + 18"], ["h", "u + 3", "u + 21"], ["u", "f + 13", "f + 34"], ["f", "w + 9", "w + 43"], ["w", "e + 12", "e + 55"], ["e", 19, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"e": 19}, "is_reverse": true}} | 6,553 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 7; h = u + 3; c = j + 12; n = p + 5; p = q + 4; q = c + 8; f = w + 9; x = e + 20; u = f + 13; j = x + 6; w = e + 12; l = h + 11; e = 19. If e = 19, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 11 to b, which gives b = h + 18.\n2. Substitute h = u + 3 to b, which gives b = u + 21.\n3. Substitute u = f + 13 to b, which gives b = f + 34.\n4. Substitute f = w + 9 to b, which gives b = w + 43.\n5. Substitute w = e + 12 to b, which gives b = e + 55.\n6. Substitute e = 19 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 6553,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 7; h = u + 3; c = j + 12; n = p + 5; p = q + 4; q = c + 8; f = w + 9; x = e + 20; u = f + 13; j = x + 6; w = e + 12; l = h + 11; e = 19. If e = 19, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 6", "z": "w + 7", "t": "z + 3", "f": "t + 11", "s": "f + 6", "g": "s + 17", "r": "k + 11", "u": "r + 9", "v": "u + 14", "o": "v + 8", "n": "o + 12", "e": "n + 16", "k": 3}, "premises": {"k": 3}, "target": "g"}, "answer": {"steps": [["s", "f + 6", "f + 23"], ["f", "t + 11", "t + 34"], ["t", "z + 3", "z + 37"], ["z", "w + 7", "w + 44"], ["w", "k + 6", "k + 50"], ["k", 3, "53"]], "target_var_name": "g", "target_value": 53, "value_dict": {"k": 3}, "is_reverse": true}} | 6,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 3; g = s + 17; z = w + 7; v = u + 14; f = t + 11; e = n + 16; u = r + 9; s = f + 6; o = v + 8; k = 3; r = k + 11; n = o + 12; w = k + 6. Given that k = 3, find 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 s = f + 6 to g, which gives g = f + 23.\n2. Substitute f = t + 11 to g, which gives g = t + 34.\n3. Substitute t = z + 3 to g, which gives g = z + 37.\n4. Substitute z = w + 7 to g, which gives g = w + 44.\n5. Substitute w = k + 6 to g, which gives g = k + 50.\n6. Substitute k = 3 to g, which gives g = 53.\n\nThus, the final answer is g = \\boxed{53}.",
"index": 6554,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 3; g = s + 17; z = w + 7; v = u + 14; f = t + 11; e = n + 16; u = r + 9; s = f + 6; o = v + 8; k = 3; r = k + 11; n = o + 12; w = k + 6. Given that k = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 15", "e": "q + 12", "m": "e + 1", "z": "m + 18", "x": "z + 19", "k": "x + 13", "u": "f + 13", "o": "u + 3", "t": "o + 11", "g": "t + 7", "n": "g + 6", "v": "n + 14", "f": 3}, "premises": {"f": 3}, "target": "k"}, "answer": {"steps": [["x", "z + 19", "z + 32"], ["z", "m + 18", "m + 50"], ["m", "e + 1", "e + 51"], ["e", "q + 12", "q + 63"], ["q", "f + 15", "f + 78"], ["f", 3, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"f": 3}, "is_reverse": true}} | 6,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 3; n = g + 6; e = q + 12; t = o + 11; x = z + 19; u = f + 13; v = n + 14; o = u + 3; q = f + 15; k = x + 13; g = t + 7; z = m + 18; m = e + 1. Given that f = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 19 to k, which gives k = z + 32.\n2. Substitute z = m + 18 to k, which gives k = m + 50.\n3. Substitute m = e + 1 to k, which gives k = e + 51.\n4. Substitute e = q + 12 to k, which gives k = q + 63.\n5. Substitute q = f + 15 to k, which gives k = f + 78.\n6. Substitute f = 3 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 6555,
"question": "Suppose a collection of variables is related by the following definitions: f = 3; n = g + 6; e = q + 12; t = o + 11; x = z + 19; u = f + 13; v = n + 14; o = u + 3; q = f + 15; k = x + 13; g = t + 7; z = m + 18; m = e + 1. Given that f = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 19", "l": "o + 16", "v": "l + 17", "x": "v + 15", "t": "x + 3", "i": "t + 4", "e": "q + 5", "p": "e + 2", "s": "p + 18", "k": "s + 18", "n": "k + 5", "m": "n + 15", "q": 4}, "premises": {"q": 4}, "target": "i"}, "answer": {"steps": [["t", "x + 3", "x + 7"], ["x", "v + 15", "v + 22"], ["v", "l + 17", "l + 39"], ["l", "o + 16", "o + 55"], ["o", "q + 19", "q + 74"], ["q", 4, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"q": 4}, "is_reverse": true}} | 6,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = t + 4; l = o + 16; o = q + 19; m = n + 15; e = q + 5; n = k + 5; k = s + 18; x = v + 15; p = e + 2; s = p + 18; t = x + 3; q = 4; v = l + 17. Given that q = 4, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 3 to i, which gives i = x + 7.\n2. Substitute x = v + 15 to i, which gives i = v + 22.\n3. Substitute v = l + 17 to i, which gives i = l + 39.\n4. Substitute l = o + 16 to i, which gives i = o + 55.\n5. Substitute o = q + 19 to i, which gives i = q + 74.\n6. Substitute q = 4 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 6556,
"question": "Suppose a collection of variables is related by the following definitions: i = t + 4; l = o + 16; o = q + 19; m = n + 15; e = q + 5; n = k + 5; k = s + 18; x = v + 15; p = e + 2; s = p + 18; t = x + 3; q = 4; v = l + 17. Given that q = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 20", "b": "j + 13", "v": "b + 9", "r": "v + 2", "m": "r + 10", "s": "m + 17", "n": "f + 1", "l": "n + 8", "a": "l + 5", "i": "a + 17", "k": "i + 13", "c": "k + 6", "f": 10}, "premises": {"f": 10}, "target": "s"}, "answer": {"steps": [["m", "r + 10", "r + 27"], ["r", "v + 2", "v + 29"], ["v", "b + 9", "b + 38"], ["b", "j + 13", "j + 51"], ["j", "f + 20", "f + 71"], ["f", 10, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"f": 10}, "is_reverse": true}} | 6,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 20; f = 10; a = l + 5; v = b + 9; r = v + 2; n = f + 1; m = r + 10; i = a + 17; b = j + 13; s = m + 17; k = i + 13; c = k + 6; l = n + 8. Given that f = 10, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 10 to s, which gives s = r + 27.\n2. Substitute r = v + 2 to s, which gives s = v + 29.\n3. Substitute v = b + 9 to s, which gives s = b + 38.\n4. Substitute b = j + 13 to s, which gives s = j + 51.\n5. Substitute j = f + 20 to s, which gives s = f + 71.\n6. Substitute f = 10 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 6557,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 20; f = 10; a = l + 5; v = b + 9; r = v + 2; n = f + 1; m = r + 10; i = a + 17; b = j + 13; s = m + 17; k = i + 13; c = k + 6; l = n + 8. Given that f = 10, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 11", "x": "f + 1", "q": "x + 8", "h": "q + 15", "b": "h + 8", "i": "b + 13", "t": "c + 8", "a": "t + 7", "g": "a + 4", "r": "g + 11", "w": "r + 20", "z": "w + 7", "c": 18}, "premises": {"c": 18}, "target": "i"}, "answer": {"steps": [["b", "h + 8", "h + 21"], ["h", "q + 15", "q + 36"], ["q", "x + 8", "x + 44"], ["x", "f + 1", "f + 45"], ["f", "c + 11", "c + 56"], ["c", 18, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"c": 18}, "is_reverse": true}} | 6,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 8; t = c + 8; i = b + 13; a = t + 7; x = f + 1; c = 18; q = x + 8; f = c + 11; h = q + 15; w = r + 20; r = g + 11; z = w + 7; g = a + 4. Given that c = 18, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 8 to i, which gives i = h + 21.\n2. Substitute h = q + 15 to i, which gives i = q + 36.\n3. Substitute q = x + 8 to i, which gives i = x + 44.\n4. Substitute x = f + 1 to i, which gives i = f + 45.\n5. Substitute f = c + 11 to i, which gives i = c + 56.\n6. Substitute c = 18 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 6558,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 8; t = c + 8; i = b + 13; a = t + 7; x = f + 1; c = 18; q = x + 8; f = c + 11; h = q + 15; w = r + 20; r = g + 11; z = w + 7; g = a + 4. Given that c = 18, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 13", "b": "m + 2", "q": "b + 16", "z": "q + 12", "a": "z + 2", "y": "a + 3", "s": "w + 16", "k": "s + 2", "r": "k + 8", "l": "r + 7", "e": "l + 17", "g": "e + 8", "w": 3}, "premises": {"w": 3}, "target": "y"}, "answer": {"steps": [["a", "z + 2", "z + 5"], ["z", "q + 12", "q + 17"], ["q", "b + 16", "b + 33"], ["b", "m + 2", "m + 35"], ["m", "w + 13", "w + 48"], ["w", 3, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"w": 3}, "is_reverse": true}} | 6,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 17; a = z + 2; k = s + 2; z = q + 12; l = r + 7; q = b + 16; g = e + 8; y = a + 3; r = k + 8; w = 3; m = w + 13; s = w + 16; b = m + 2. Given that w = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 2 to y, which gives y = z + 5.\n2. Substitute z = q + 12 to y, which gives y = q + 17.\n3. Substitute q = b + 16 to y, which gives y = b + 33.\n4. Substitute b = m + 2 to y, which gives y = m + 35.\n5. Substitute m = w + 13 to y, which gives y = w + 48.\n6. Substitute w = 3 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 6559,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 17; a = z + 2; k = s + 2; z = q + 12; l = r + 7; q = b + 16; g = e + 8; y = a + 3; r = k + 8; w = 3; m = w + 13; s = w + 16; b = m + 2. Given that w = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 5", "r": "l + 4", "u": "r + 18", "g": "u + 4", "f": "g + 11", "c": "f + 11", "k": "n + 13", "q": "k + 8", "e": "q + 20", "i": "e + 10", "o": "i + 5", "p": "o + 4", "n": 6}, "premises": {"n": 6}, "target": "c"}, "answer": {"steps": [["f", "g + 11", "g + 22"], ["g", "u + 4", "u + 26"], ["u", "r + 18", "r + 44"], ["r", "l + 4", "l + 48"], ["l", "n + 5", "n + 53"], ["n", 6, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"n": 6}, "is_reverse": true}} | 6,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 8; u = r + 18; k = n + 13; c = f + 11; i = e + 10; g = u + 4; p = o + 4; o = i + 5; n = 6; r = l + 4; f = g + 11; e = q + 20; l = n + 5. Given that n = 6, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 11 to c, which gives c = g + 22.\n2. Substitute g = u + 4 to c, which gives c = u + 26.\n3. Substitute u = r + 18 to c, which gives c = r + 44.\n4. Substitute r = l + 4 to c, which gives c = l + 48.\n5. Substitute l = n + 5 to c, which gives c = n + 53.\n6. Substitute n = 6 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 6560,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 8; u = r + 18; k = n + 13; c = f + 11; i = e + 10; g = u + 4; p = o + 4; o = i + 5; n = 6; r = l + 4; f = g + 11; e = q + 20; l = n + 5. Given that n = 6, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 2", "i": "b + 9", "q": "i + 6", "e": "q + 16", "r": "e + 16", "y": "r + 1", "f": "o + 6", "l": "f + 16", "j": "l + 6", "m": "j + 1", "d": "m + 2", "w": "d + 17", "o": 5}, "premises": {"o": 5}, "target": "y"}, "answer": {"steps": [["r", "e + 16", "e + 17"], ["e", "q + 16", "q + 33"], ["q", "i + 6", "i + 39"], ["i", "b + 9", "b + 48"], ["b", "o + 2", "o + 50"], ["o", 5, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"o": 5}, "is_reverse": true}} | 6,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 6; l = f + 16; o = 5; r = e + 16; y = r + 1; e = q + 16; f = o + 6; b = o + 2; d = m + 2; i = b + 9; w = d + 17; j = l + 6; m = j + 1. If o = 5, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 16 to y, which gives y = e + 17.\n2. Substitute e = q + 16 to y, which gives y = q + 33.\n3. Substitute q = i + 6 to y, which gives y = i + 39.\n4. Substitute i = b + 9 to y, which gives y = b + 48.\n5. Substitute b = o + 2 to y, which gives y = o + 50.\n6. Substitute o = 5 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 6561,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 6; l = f + 16; o = 5; r = e + 16; y = r + 1; e = q + 16; f = o + 6; b = o + 2; d = m + 2; i = b + 9; w = d + 17; j = l + 6; m = j + 1. If o = 5, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 1", "m": "u + 20", "s": "m + 3", "g": "s + 13", "t": "g + 14", "k": "t + 18", "j": "n + 11", "d": "j + 14", "f": "d + 11", "o": "f + 3", "r": "o + 18", "l": "r + 15", "n": 3}, "premises": {"n": 3}, "target": "k"}, "answer": {"steps": [["t", "g + 14", "g + 32"], ["g", "s + 13", "s + 45"], ["s", "m + 3", "m + 48"], ["m", "u + 20", "u + 68"], ["u", "n + 1", "n + 69"], ["n", 3, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"n": 3}, "is_reverse": true}} | 6,562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 14; l = r + 15; u = n + 1; f = d + 11; r = o + 18; g = s + 13; k = t + 18; j = n + 11; m = u + 20; o = f + 3; n = 3; d = j + 14; s = m + 3. Given that n = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 14 to k, which gives k = g + 32.\n2. Substitute g = s + 13 to k, which gives k = s + 45.\n3. Substitute s = m + 3 to k, which gives k = m + 48.\n4. Substitute m = u + 20 to k, which gives k = u + 68.\n5. Substitute u = n + 1 to k, which gives k = n + 69.\n6. Substitute n = 3 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 6562,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 14; l = r + 15; u = n + 1; f = d + 11; r = o + 18; g = s + 13; k = t + 18; j = n + 11; m = u + 20; o = f + 3; n = 3; d = j + 14; s = m + 3. Given that n = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 1", "c": "r + 4", "f": "c + 3", "b": "f + 10", "s": "b + 1", "k": "s + 1", "i": "n + 6", "e": "i + 15", "q": "e + 7", "w": "q + 14", "o": "w + 6", "v": "o + 10", "n": 8}, "premises": {"n": 8}, "target": "k"}, "answer": {"steps": [["s", "b + 1", "b + 2"], ["b", "f + 10", "f + 12"], ["f", "c + 3", "c + 15"], ["c", "r + 4", "r + 19"], ["r", "n + 1", "n + 20"], ["n", 8, "28"]], "target_var_name": "k", "target_value": 28, "value_dict": {"n": 8}, "is_reverse": true}} | 6,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 1; w = q + 14; o = w + 6; c = r + 4; v = o + 10; n = 8; i = n + 6; k = s + 1; f = c + 3; q = e + 7; b = f + 10; e = i + 15; r = n + 1. If n = 8, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 1 to k, which gives k = b + 2.\n2. Substitute b = f + 10 to k, which gives k = f + 12.\n3. Substitute f = c + 3 to k, which gives k = c + 15.\n4. Substitute c = r + 4 to k, which gives k = r + 19.\n5. Substitute r = n + 1 to k, which gives k = n + 20.\n6. Substitute n = 8 to k, which gives k = 28.\n\nThus, the final answer is k = \\boxed{28}.",
"index": 6563,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = b + 1; w = q + 14; o = w + 6; c = r + 4; v = o + 10; n = 8; i = n + 6; k = s + 1; f = c + 3; q = e + 7; b = f + 10; e = i + 15; r = n + 1. If n = 8, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 17", "q": "s + 11", "r": "q + 1", "p": "r + 4", "c": "p + 15", "t": "c + 9", "f": "d + 19", "l": "f + 6", "j": "l + 14", "e": "j + 20", "h": "e + 17", "m": "h + 6", "d": 20}, "premises": {"d": 20}, "target": "t"}, "answer": {"steps": [["c", "p + 15", "p + 24"], ["p", "r + 4", "r + 28"], ["r", "q + 1", "q + 29"], ["q", "s + 11", "s + 40"], ["s", "d + 17", "d + 57"], ["d", 20, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"d": 20}, "is_reverse": true}} | 6,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 6; d = 20; c = p + 15; f = d + 19; e = j + 20; j = l + 14; r = q + 1; t = c + 9; q = s + 11; h = e + 17; p = r + 4; m = h + 6; s = d + 17. If d = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 15 to t, which gives t = p + 24.\n2. Substitute p = r + 4 to t, which gives t = r + 28.\n3. Substitute r = q + 1 to t, which gives t = q + 29.\n4. Substitute q = s + 11 to t, which gives t = s + 40.\n5. Substitute s = d + 17 to t, which gives t = d + 57.\n6. Substitute d = 20 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 6564,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 6; d = 20; c = p + 15; f = d + 19; e = j + 20; j = l + 14; r = q + 1; t = c + 9; q = s + 11; h = e + 17; p = r + 4; m = h + 6; s = d + 17. If d = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 3", "m": "a + 11", "z": "m + 20", "f": "z + 4", "x": "f + 13", "v": "x + 9", "d": "g + 11", "y": "d + 15", "s": "y + 9", "h": "s + 5", "t": "h + 1", "c": "t + 10", "g": 13}, "premises": {"g": 13}, "target": "v"}, "answer": {"steps": [["x", "f + 13", "f + 22"], ["f", "z + 4", "z + 26"], ["z", "m + 20", "m + 46"], ["m", "a + 11", "a + 57"], ["a", "g + 3", "g + 60"], ["g", 13, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"g": 13}, "is_reverse": true}} | 6,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = x + 9; g = 13; h = s + 5; d = g + 11; f = z + 4; a = g + 3; t = h + 1; c = t + 10; y = d + 15; m = a + 11; s = y + 9; z = m + 20; x = f + 13. Given that g = 13, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 13 to v, which gives v = f + 22.\n2. Substitute f = z + 4 to v, which gives v = z + 26.\n3. Substitute z = m + 20 to v, which gives v = m + 46.\n4. Substitute m = a + 11 to v, which gives v = a + 57.\n5. Substitute a = g + 3 to v, which gives v = g + 60.\n6. Substitute g = 13 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 6565,
"question": "Suppose a collection of variables is related by the following definitions: v = x + 9; g = 13; h = s + 5; d = g + 11; f = z + 4; a = g + 3; t = h + 1; c = t + 10; y = d + 15; m = a + 11; s = y + 9; z = m + 20; x = f + 13. Given that g = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 7", "k": "x + 12", "b": "k + 17", "g": "b + 20", "m": "g + 6", "c": "m + 13", "l": "a + 12", "q": "l + 15", "j": "q + 16", "n": "j + 6", "v": "n + 4", "i": "v + 3", "a": 20}, "premises": {"a": 20}, "target": "c"}, "answer": {"steps": [["m", "g + 6", "g + 19"], ["g", "b + 20", "b + 39"], ["b", "k + 17", "k + 56"], ["k", "x + 12", "x + 68"], ["x", "a + 7", "a + 75"], ["a", 20, "95"]], "target_var_name": "c", "target_value": 95, "value_dict": {"a": 20}, "is_reverse": true}} | 6,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 20; j = q + 16; b = k + 17; i = v + 3; m = g + 6; q = l + 15; x = a + 7; v = n + 4; k = x + 12; l = a + 12; c = m + 13; n = j + 6; a = 20. If a = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 6 to c, which gives c = g + 19.\n2. Substitute g = b + 20 to c, which gives c = b + 39.\n3. Substitute b = k + 17 to c, which gives c = k + 56.\n4. Substitute k = x + 12 to c, which gives c = x + 68.\n5. Substitute x = a + 7 to c, which gives c = a + 75.\n6. Substitute a = 20 to c, which gives c = 95.\n\nThus, the final answer is c = \\boxed{95}.",
"index": 6566,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 20; j = q + 16; b = k + 17; i = v + 3; m = g + 6; q = l + 15; x = a + 7; v = n + 4; k = x + 12; l = a + 12; c = m + 13; n = j + 6; a = 20. If a = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 9", "t": "j + 19", "v": "t + 19", "n": "v + 7", "l": "n + 5", "d": "l + 5", "m": "h + 18", "e": "m + 4", "y": "e + 19", "w": "y + 20", "c": "w + 15", "q": "c + 2", "h": 19}, "premises": {"h": 19}, "target": "d"}, "answer": {"steps": [["l", "n + 5", "n + 10"], ["n", "v + 7", "v + 17"], ["v", "t + 19", "t + 36"], ["t", "j + 19", "j + 55"], ["j", "h + 9", "h + 64"], ["h", 19, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"h": 19}, "is_reverse": true}} | 6,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 9; h = 19; w = y + 20; d = l + 5; e = m + 4; v = t + 19; l = n + 5; m = h + 18; q = c + 2; n = v + 7; c = w + 15; t = j + 19; y = e + 19. If h = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 5 to d, which gives d = n + 10.\n2. Substitute n = v + 7 to d, which gives d = v + 17.\n3. Substitute v = t + 19 to d, which gives d = t + 36.\n4. Substitute t = j + 19 to d, which gives d = j + 55.\n5. Substitute j = h + 9 to d, which gives d = h + 64.\n6. Substitute h = 19 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 6567,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 9; h = 19; w = y + 20; d = l + 5; e = m + 4; v = t + 19; l = n + 5; m = h + 18; q = c + 2; n = v + 7; c = w + 15; t = j + 19; y = e + 19. If h = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 13", "d": "o + 18", "g": "d + 18", "z": "g + 12", "x": "z + 15", "u": "x + 12", "v": "h + 13", "f": "v + 7", "p": "f + 16", "l": "p + 14", "s": "l + 15", "b": "s + 9", "h": 16}, "premises": {"h": 16}, "target": "u"}, "answer": {"steps": [["x", "z + 15", "z + 27"], ["z", "g + 12", "g + 39"], ["g", "d + 18", "d + 57"], ["d", "o + 18", "o + 75"], ["o", "h + 13", "h + 88"], ["h", 16, "104"]], "target_var_name": "u", "target_value": 104, "value_dict": {"h": 16}, "is_reverse": true}} | 6,568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 13; b = s + 9; l = p + 14; p = f + 16; u = x + 12; z = g + 12; s = l + 15; f = v + 7; x = z + 15; o = h + 13; g = d + 18; h = 16; d = o + 18. If h = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 15 to u, which gives u = z + 27.\n2. Substitute z = g + 12 to u, which gives u = g + 39.\n3. Substitute g = d + 18 to u, which gives u = d + 57.\n4. Substitute d = o + 18 to u, which gives u = o + 75.\n5. Substitute o = h + 13 to u, which gives u = h + 88.\n6. Substitute h = 16 to u, which gives u = 104.\n\nThus, the final answer is u = \\boxed{104}.",
"index": 6568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 13; b = s + 9; l = p + 14; p = f + 16; u = x + 12; z = g + 12; s = l + 15; f = v + 7; x = z + 15; o = h + 13; g = d + 18; h = 16; d = o + 18. If h = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 9", "p": "d + 4", "w": "p + 9", "q": "w + 20", "h": "q + 11", "n": "h + 16", "e": "f + 11", "k": "e + 15", "x": "k + 14", "j": "x + 4", "g": "j + 19", "r": "g + 6", "f": 3}, "premises": {"f": 3}, "target": "n"}, "answer": {"steps": [["h", "q + 11", "q + 27"], ["q", "w + 20", "w + 47"], ["w", "p + 9", "p + 56"], ["p", "d + 4", "d + 60"], ["d", "f + 9", "f + 69"], ["f", 3, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"f": 3}, "is_reverse": true}} | 6,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 15; n = h + 16; d = f + 9; w = p + 9; h = q + 11; e = f + 11; g = j + 19; r = g + 6; x = k + 14; f = 3; p = d + 4; j = x + 4; q = w + 20. If f = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 11 to n, which gives n = q + 27.\n2. Substitute q = w + 20 to n, which gives n = w + 47.\n3. Substitute w = p + 9 to n, which gives n = p + 56.\n4. Substitute p = d + 4 to n, which gives n = d + 60.\n5. Substitute d = f + 9 to n, which gives n = f + 69.\n6. Substitute f = 3 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 6569,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 15; n = h + 16; d = f + 9; w = p + 9; h = q + 11; e = f + 11; g = j + 19; r = g + 6; x = k + 14; f = 3; p = d + 4; j = x + 4; q = w + 20. If f = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 17", "r": "n + 8", "f": "r + 11", "b": "f + 10", "l": "b + 19", "p": "l + 14", "j": "x + 19", "q": "j + 1", "h": "q + 19", "c": "h + 15", "o": "c + 13", "t": "o + 1", "x": 1}, "premises": {"x": 1}, "target": "p"}, "answer": {"steps": [["l", "b + 19", "b + 33"], ["b", "f + 10", "f + 43"], ["f", "r + 11", "r + 54"], ["r", "n + 8", "n + 62"], ["n", "x + 17", "x + 79"], ["x", 1, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"x": 1}, "is_reverse": true}} | 6,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 19; n = x + 17; t = o + 1; h = q + 19; o = c + 13; l = b + 19; x = 1; p = l + 14; q = j + 1; r = n + 8; b = f + 10; f = r + 11; c = h + 15. If x = 1, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 19 to p, which gives p = b + 33.\n2. Substitute b = f + 10 to p, which gives p = f + 43.\n3. Substitute f = r + 11 to p, which gives p = r + 54.\n4. Substitute r = n + 8 to p, which gives p = n + 62.\n5. Substitute n = x + 17 to p, which gives p = x + 79.\n6. Substitute x = 1 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 6570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 19; n = x + 17; t = o + 1; h = q + 19; o = c + 13; l = b + 19; x = 1; p = l + 14; q = j + 1; r = n + 8; b = f + 10; f = r + 11; c = h + 15. If x = 1, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 7", "w": "v + 2", "m": "w + 16", "f": "m + 5", "k": "f + 3", "h": "k + 19", "l": "t + 1", "q": "l + 12", "z": "q + 15", "g": "z + 4", "j": "g + 6", "i": "j + 16", "t": 10}, "premises": {"t": 10}, "target": "h"}, "answer": {"steps": [["k", "f + 3", "f + 22"], ["f", "m + 5", "m + 27"], ["m", "w + 16", "w + 43"], ["w", "v + 2", "v + 45"], ["v", "t + 7", "t + 52"], ["t", 10, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"t": 10}, "is_reverse": true}} | 6,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 19; f = m + 5; l = t + 1; v = t + 7; j = g + 6; k = f + 3; m = w + 16; w = v + 2; i = j + 16; z = q + 15; t = 10; g = z + 4; q = l + 12. Given that t = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 3 to h, which gives h = f + 22.\n2. Substitute f = m + 5 to h, which gives h = m + 27.\n3. Substitute m = w + 16 to h, which gives h = w + 43.\n4. Substitute w = v + 2 to h, which gives h = v + 45.\n5. Substitute v = t + 7 to h, which gives h = t + 52.\n6. Substitute t = 10 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 6571,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 19; f = m + 5; l = t + 1; v = t + 7; j = g + 6; k = f + 3; m = w + 16; w = v + 2; i = j + 16; z = q + 15; t = 10; g = z + 4; q = l + 12. Given that t = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 5", "g": "c + 2", "e": "g + 9", "h": "e + 12", "y": "h + 18", "x": "y + 11", "s": "w + 18", "q": "s + 17", "n": "q + 14", "o": "n + 4", "z": "o + 14", "d": "z + 16", "w": 4}, "premises": {"w": 4}, "target": "x"}, "answer": {"steps": [["y", "h + 18", "h + 29"], ["h", "e + 12", "e + 41"], ["e", "g + 9", "g + 50"], ["g", "c + 2", "c + 52"], ["c", "w + 5", "w + 57"], ["w", 4, "61"]], "target_var_name": "x", "target_value": 61, "value_dict": {"w": 4}, "is_reverse": true}} | 6,572 | 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 = y + 11; w = 4; d = z + 16; y = h + 18; n = q + 14; c = w + 5; e = g + 9; h = e + 12; s = w + 18; q = s + 17; g = c + 2; o = n + 4; z = o + 14. If w = 4, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 18 to x, which gives x = h + 29.\n2. Substitute h = e + 12 to x, which gives x = e + 41.\n3. Substitute e = g + 9 to x, which gives x = g + 50.\n4. Substitute g = c + 2 to x, which gives x = c + 52.\n5. Substitute c = w + 5 to x, which gives x = w + 57.\n6. Substitute w = 4 to x, which gives x = 61.\n\nThus, the final answer is x = \\boxed{61}.",
"index": 6572,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = y + 11; w = 4; d = z + 16; y = h + 18; n = q + 14; c = w + 5; e = g + 9; h = e + 12; s = w + 18; q = s + 17; g = c + 2; o = n + 4; z = o + 14. If w = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 19", "p": "z + 10", "g": "p + 7", "l": "g + 15", "n": "l + 20", "j": "n + 18", "o": "y + 11", "w": "o + 11", "u": "w + 5", "e": "u + 11", "i": "e + 17", "b": "i + 4", "y": 8}, "premises": {"y": 8}, "target": "j"}, "answer": {"steps": [["n", "l + 20", "l + 38"], ["l", "g + 15", "g + 53"], ["g", "p + 7", "p + 60"], ["p", "z + 10", "z + 70"], ["z", "y + 19", "y + 89"], ["y", 8, "97"]], "target_var_name": "j", "target_value": 97, "value_dict": {"y": 8}, "is_reverse": true}} | 6,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = o + 11; i = e + 17; o = y + 11; u = w + 5; p = z + 10; e = u + 11; g = p + 7; n = l + 20; z = y + 19; y = 8; l = g + 15; b = i + 4; j = n + 18. Given that y = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 20 to j, which gives j = l + 38.\n2. Substitute l = g + 15 to j, which gives j = g + 53.\n3. Substitute g = p + 7 to j, which gives j = p + 60.\n4. Substitute p = z + 10 to j, which gives j = z + 70.\n5. Substitute z = y + 19 to j, which gives j = y + 89.\n6. Substitute y = 8 to j, which gives j = 97.\n\nThus, the final answer is j = \\boxed{97}.",
"index": 6573,
"question": "Suppose a collection of variables is related by the following definitions: w = o + 11; i = e + 17; o = y + 11; u = w + 5; p = z + 10; e = u + 11; g = p + 7; n = l + 20; z = y + 19; y = 8; l = g + 15; b = i + 4; j = n + 18. Given that y = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 3", "f": "q + 10", "r": "f + 11", "t": "r + 18", "l": "t + 16", "d": "l + 8", "b": "g + 17", "s": "b + 18", "c": "s + 8", "v": "c + 17", "z": "v + 17", "e": "z + 20", "g": 12}, "premises": {"g": 12}, "target": "d"}, "answer": {"steps": [["l", "t + 16", "t + 24"], ["t", "r + 18", "r + 42"], ["r", "f + 11", "f + 53"], ["f", "q + 10", "q + 63"], ["q", "g + 3", "g + 66"], ["g", 12, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"g": 12}, "is_reverse": true}} | 6,574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 8; t = r + 18; g = 12; d = l + 8; s = b + 18; b = g + 17; z = v + 17; e = z + 20; q = g + 3; v = c + 17; l = t + 16; r = f + 11; f = q + 10. Given that g = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 16 to d, which gives d = t + 24.\n2. Substitute t = r + 18 to d, which gives d = r + 42.\n3. Substitute r = f + 11 to d, which gives d = f + 53.\n4. Substitute f = q + 10 to d, which gives d = q + 63.\n5. Substitute q = g + 3 to d, which gives d = g + 66.\n6. Substitute g = 12 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 6574,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 8; t = r + 18; g = 12; d = l + 8; s = b + 18; b = g + 17; z = v + 17; e = z + 20; q = g + 3; v = c + 17; l = t + 16; r = f + 11; f = q + 10. Given that g = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 9", "e": "f + 17", "p": "e + 12", "n": "p + 8", "u": "n + 8", "g": "u + 2", "v": "a + 11", "z": "v + 3", "l": "z + 15", "i": "l + 9", "k": "i + 15", "d": "k + 1", "a": 12}, "premises": {"a": 12}, "target": "g"}, "answer": {"steps": [["u", "n + 8", "n + 10"], ["n", "p + 8", "p + 18"], ["p", "e + 12", "e + 30"], ["e", "f + 17", "f + 47"], ["f", "a + 9", "a + 56"], ["a", 12, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"a": 12}, "is_reverse": true}} | 6,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 12; k = i + 15; v = a + 11; p = e + 12; g = u + 2; u = n + 8; i = l + 9; f = a + 9; e = f + 17; z = v + 3; d = k + 1; n = p + 8; l = z + 15. Given that a = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 8 to g, which gives g = n + 10.\n2. Substitute n = p + 8 to g, which gives g = p + 18.\n3. Substitute p = e + 12 to g, which gives g = e + 30.\n4. Substitute e = f + 17 to g, which gives g = f + 47.\n5. Substitute f = a + 9 to g, which gives g = a + 56.\n6. Substitute a = 12 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 6575,
"question": "Suppose a collection of variables is related by the following definitions: a = 12; k = i + 15; v = a + 11; p = e + 12; g = u + 2; u = n + 8; i = l + 9; f = a + 9; e = f + 17; z = v + 3; d = k + 1; n = p + 8; l = z + 15. Given that a = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 2", "i": "q + 6", "b": "i + 17", "f": "b + 7", "j": "f + 3", "h": "j + 5", "x": "a + 8", "m": "x + 12", "r": "m + 16", "l": "r + 15", "n": "l + 20", "c": "n + 5", "a": 16}, "premises": {"a": 16}, "target": "h"}, "answer": {"steps": [["j", "f + 3", "f + 8"], ["f", "b + 7", "b + 15"], ["b", "i + 17", "i + 32"], ["i", "q + 6", "q + 38"], ["q", "a + 2", "a + 40"], ["a", 16, "56"]], "target_var_name": "h", "target_value": 56, "value_dict": {"a": 16}, "is_reverse": true}} | 6,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 2; r = m + 16; h = j + 5; x = a + 8; l = r + 15; n = l + 20; i = q + 6; a = 16; m = x + 12; f = b + 7; c = n + 5; j = f + 3; b = i + 17. If a = 16, what is the resulting 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 j = f + 3 to h, which gives h = f + 8.\n2. Substitute f = b + 7 to h, which gives h = b + 15.\n3. Substitute b = i + 17 to h, which gives h = i + 32.\n4. Substitute i = q + 6 to h, which gives h = q + 38.\n5. Substitute q = a + 2 to h, which gives h = a + 40.\n6. Substitute a = 16 to h, which gives h = 56.\n\nThus, the final answer is h = \\boxed{56}.",
"index": 6576,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 2; r = m + 16; h = j + 5; x = a + 8; l = r + 15; n = l + 20; i = q + 6; a = 16; m = x + 12; f = b + 7; c = n + 5; j = f + 3; b = i + 17. If a = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 17", "u": "w + 4", "q": "u + 11", "e": "q + 11", "z": "e + 3", "r": "z + 7", "y": "i + 19", "h": "y + 8", "d": "h + 17", "n": "d + 5", "f": "n + 19", "m": "f + 5", "i": 8}, "premises": {"i": 8}, "target": "r"}, "answer": {"steps": [["z", "e + 3", "e + 10"], ["e", "q + 11", "q + 21"], ["q", "u + 11", "u + 32"], ["u", "w + 4", "w + 36"], ["w", "i + 17", "i + 53"], ["i", 8, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"i": 8}, "is_reverse": true}} | 6,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 8; r = z + 7; w = i + 17; h = y + 8; q = u + 11; u = w + 4; z = e + 3; f = n + 19; m = f + 5; e = q + 11; n = d + 5; y = i + 19; d = h + 17. Given that i = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 3 to r, which gives r = e + 10.\n2. Substitute e = q + 11 to r, which gives r = q + 21.\n3. Substitute q = u + 11 to r, which gives r = u + 32.\n4. Substitute u = w + 4 to r, which gives r = w + 36.\n5. Substitute w = i + 17 to r, which gives r = i + 53.\n6. Substitute i = 8 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 6577,
"question": "Suppose a collection of variables is related by the following definitions: i = 8; r = z + 7; w = i + 17; h = y + 8; q = u + 11; u = w + 4; z = e + 3; f = n + 19; m = f + 5; e = q + 11; n = d + 5; y = i + 19; d = h + 17. Given that i = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 11", "k": "c + 18", "g": "k + 15", "p": "g + 4", "n": "p + 19", "v": "n + 4", "a": "m + 14", "r": "a + 9", "w": "r + 14", "h": "w + 16", "s": "h + 15", "b": "s + 14", "m": 19}, "premises": {"m": 19}, "target": "v"}, "answer": {"steps": [["n", "p + 19", "p + 23"], ["p", "g + 4", "g + 27"], ["g", "k + 15", "k + 42"], ["k", "c + 18", "c + 60"], ["c", "m + 11", "m + 71"], ["m", 19, "90"]], "target_var_name": "v", "target_value": 90, "value_dict": {"m": 19}, "is_reverse": true}} | 6,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 14; g = k + 15; r = a + 9; c = m + 11; p = g + 4; k = c + 18; w = r + 14; h = w + 16; a = m + 14; v = n + 4; m = 19; n = p + 19; s = h + 15. If m = 19, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 19 to v, which gives v = p + 23.\n2. Substitute p = g + 4 to v, which gives v = g + 27.\n3. Substitute g = k + 15 to v, which gives v = k + 42.\n4. Substitute k = c + 18 to v, which gives v = c + 60.\n5. Substitute c = m + 11 to v, which gives v = m + 71.\n6. Substitute m = 19 to v, which gives v = 90.\n\nThus, the final answer is v = \\boxed{90}.",
"index": 6578,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 14; g = k + 15; r = a + 9; c = m + 11; p = g + 4; k = c + 18; w = r + 14; h = w + 16; a = m + 14; v = n + 4; m = 19; n = p + 19; s = h + 15. If m = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 15", "u": "b + 17", "o": "u + 14", "y": "o + 13", "p": "y + 2", "f": "p + 1", "z": "e + 13", "w": "z + 1", "x": "w + 2", "l": "x + 18", "a": "l + 15", "j": "a + 11", "e": 19}, "premises": {"e": 19}, "target": "f"}, "answer": {"steps": [["p", "y + 2", "y + 3"], ["y", "o + 13", "o + 16"], ["o", "u + 14", "u + 30"], ["u", "b + 17", "b + 47"], ["b", "e + 15", "e + 62"], ["e", 19, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"e": 19}, "is_reverse": true}} | 6,579 | 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 = p + 1; l = x + 18; u = b + 17; a = l + 15; e = 19; x = w + 2; j = a + 11; z = e + 13; w = z + 1; p = y + 2; y = o + 13; o = u + 14; b = e + 15. If e = 19, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 2 to f, which gives f = y + 3.\n2. Substitute y = o + 13 to f, which gives f = o + 16.\n3. Substitute o = u + 14 to f, which gives f = u + 30.\n4. Substitute u = b + 17 to f, which gives f = b + 47.\n5. Substitute b = e + 15 to f, which gives f = e + 62.\n6. Substitute e = 19 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 6579,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 1; l = x + 18; u = b + 17; a = l + 15; e = 19; x = w + 2; j = a + 11; z = e + 13; w = z + 1; p = y + 2; y = o + 13; o = u + 14; b = e + 15. If e = 19, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 5", "c": "e + 15", "v": "c + 9", "w": "v + 14", "s": "w + 7", "q": "s + 19", "a": "m + 20", "n": "a + 19", "k": "n + 9", "z": "k + 9", "h": "z + 8", "b": "h + 6", "m": 14}, "premises": {"m": 14}, "target": "q"}, "answer": {"steps": [["s", "w + 7", "w + 26"], ["w", "v + 14", "v + 40"], ["v", "c + 9", "c + 49"], ["c", "e + 15", "e + 64"], ["e", "m + 5", "m + 69"], ["m", 14, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"m": 14}, "is_reverse": true}} | 6,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 14; k = n + 9; s = w + 7; a = m + 20; c = e + 15; e = m + 5; z = k + 9; q = s + 19; h = z + 8; v = c + 9; b = h + 6; n = a + 19; w = v + 14. Given that m = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 7 to q, which gives q = w + 26.\n2. Substitute w = v + 14 to q, which gives q = v + 40.\n3. Substitute v = c + 9 to q, which gives q = c + 49.\n4. Substitute c = e + 15 to q, which gives q = e + 64.\n5. Substitute e = m + 5 to q, which gives q = m + 69.\n6. Substitute m = 14 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 6580,
"question": "Suppose a collection of variables is related by the following definitions: m = 14; k = n + 9; s = w + 7; a = m + 20; c = e + 15; e = m + 5; z = k + 9; q = s + 19; h = z + 8; v = c + 9; b = h + 6; n = a + 19; w = v + 14. Given that m = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 14", "w": "f + 18", "n": "w + 5", "e": "n + 13", "o": "e + 8", "x": "o + 18", "d": "s + 2", "j": "d + 16", "t": "j + 13", "m": "t + 14", "h": "m + 12", "g": "h + 10", "s": 18}, "premises": {"s": 18}, "target": "x"}, "answer": {"steps": [["o", "e + 8", "e + 26"], ["e", "n + 13", "n + 39"], ["n", "w + 5", "w + 44"], ["w", "f + 18", "f + 62"], ["f", "s + 14", "s + 76"], ["s", 18, "94"]], "target_var_name": "x", "target_value": 94, "value_dict": {"s": 18}, "is_reverse": true}} | 6,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 13; e = n + 13; w = f + 18; d = s + 2; f = s + 14; m = t + 14; x = o + 18; j = d + 16; n = w + 5; h = m + 12; o = e + 8; g = h + 10; s = 18. Given that s = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 8 to x, which gives x = e + 26.\n2. Substitute e = n + 13 to x, which gives x = n + 39.\n3. Substitute n = w + 5 to x, which gives x = w + 44.\n4. Substitute w = f + 18 to x, which gives x = f + 62.\n5. Substitute f = s + 14 to x, which gives x = s + 76.\n6. Substitute s = 18 to x, which gives x = 94.\n\nThus, the final answer is x = \\boxed{94}.",
"index": 6581,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 13; e = n + 13; w = f + 18; d = s + 2; f = s + 14; m = t + 14; x = o + 18; j = d + 16; n = w + 5; h = m + 12; o = e + 8; g = h + 10; s = 18. Given that s = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 10", "t": "p + 8", "w": "t + 3", "c": "w + 13", "r": "c + 12", "l": "r + 2", "x": "s + 16", "a": "x + 13", "i": "a + 1", "f": "i + 7", "q": "f + 6", "z": "q + 7", "s": 2}, "premises": {"s": 2}, "target": "l"}, "answer": {"steps": [["r", "c + 12", "c + 14"], ["c", "w + 13", "w + 27"], ["w", "t + 3", "t + 30"], ["t", "p + 8", "p + 38"], ["p", "s + 10", "s + 48"], ["s", 2, "50"]], "target_var_name": "l", "target_value": 50, "value_dict": {"s": 2}, "is_reverse": true}} | 6,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 8; c = w + 13; r = c + 12; f = i + 7; q = f + 6; w = t + 3; x = s + 16; a = x + 13; i = a + 1; s = 2; l = r + 2; p = s + 10; z = q + 7. If s = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 12 to l, which gives l = c + 14.\n2. Substitute c = w + 13 to l, which gives l = w + 27.\n3. Substitute w = t + 3 to l, which gives l = t + 30.\n4. Substitute t = p + 8 to l, which gives l = p + 38.\n5. Substitute p = s + 10 to l, which gives l = s + 48.\n6. Substitute s = 2 to l, which gives l = 50.\n\nThus, the final answer is l = \\boxed{50}.",
"index": 6582,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 8; c = w + 13; r = c + 12; f = i + 7; q = f + 6; w = t + 3; x = s + 16; a = x + 13; i = a + 1; s = 2; l = r + 2; p = s + 10; z = q + 7. If s = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 18", "x": "v + 14", "w": "x + 16", "q": "w + 5", "n": "q + 1", "k": "n + 9", "d": "r + 2", "y": "d + 5", "j": "y + 4", "m": "j + 16", "e": "m + 20", "l": "e + 3", "r": 20}, "premises": {"r": 20}, "target": "k"}, "answer": {"steps": [["n", "q + 1", "q + 10"], ["q", "w + 5", "w + 15"], ["w", "x + 16", "x + 31"], ["x", "v + 14", "v + 45"], ["v", "r + 18", "r + 63"], ["r", 20, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"r": 20}, "is_reverse": true}} | 6,583 | 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; m = j + 16; x = v + 14; y = d + 5; d = r + 2; k = n + 9; n = q + 1; v = r + 18; j = y + 4; l = e + 3; r = 20; q = w + 5; w = x + 16. Given that r = 20, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 1 to k, which gives k = q + 10.\n2. Substitute q = w + 5 to k, which gives k = w + 15.\n3. Substitute w = x + 16 to k, which gives k = x + 31.\n4. Substitute x = v + 14 to k, which gives k = v + 45.\n5. Substitute v = r + 18 to k, which gives k = r + 63.\n6. Substitute r = 20 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 6583,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 20; m = j + 16; x = v + 14; y = d + 5; d = r + 2; k = n + 9; n = q + 1; v = r + 18; j = y + 4; l = e + 3; r = 20; q = w + 5; w = x + 16. Given that r = 20, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 3", "d": "i + 19", "g": "d + 14", "k": "g + 12", "m": "k + 13", "v": "m + 5", "s": "q + 12", "y": "s + 4", "e": "y + 13", "b": "e + 13", "l": "b + 15", "f": "l + 6", "q": 7}, "premises": {"q": 7}, "target": "v"}, "answer": {"steps": [["m", "k + 13", "k + 18"], ["k", "g + 12", "g + 30"], ["g", "d + 14", "d + 44"], ["d", "i + 19", "i + 63"], ["i", "q + 3", "q + 66"], ["q", 7, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"q": 7}, "is_reverse": true}} | 6,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 7; m = k + 13; y = s + 4; k = g + 12; d = i + 19; s = q + 12; g = d + 14; f = l + 6; v = m + 5; l = b + 15; i = q + 3; b = e + 13; e = y + 13. If q = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 13 to v, which gives v = k + 18.\n2. Substitute k = g + 12 to v, which gives v = g + 30.\n3. Substitute g = d + 14 to v, which gives v = d + 44.\n4. Substitute d = i + 19 to v, which gives v = i + 63.\n5. Substitute i = q + 3 to v, which gives v = q + 66.\n6. Substitute q = 7 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 6584,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 7; m = k + 13; y = s + 4; k = g + 12; d = i + 19; s = q + 12; g = d + 14; f = l + 6; v = m + 5; l = b + 15; i = q + 3; b = e + 13; e = y + 13. If q = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 12", "x": "c + 8", "g": "x + 8", "e": "g + 7", "s": "e + 1", "f": "s + 3", "o": "b + 14", "m": "o + 3", "q": "m + 9", "w": "q + 9", "y": "w + 3", "r": "y + 3", "b": 2}, "premises": {"b": 2}, "target": "f"}, "answer": {"steps": [["s", "e + 1", "e + 4"], ["e", "g + 7", "g + 11"], ["g", "x + 8", "x + 19"], ["x", "c + 8", "c + 27"], ["c", "b + 12", "b + 39"], ["b", 2, "41"]], "target_var_name": "f", "target_value": 41, "value_dict": {"b": 2}, "is_reverse": true}} | 6,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 14; x = c + 8; f = s + 3; c = b + 12; w = q + 9; g = x + 8; y = w + 3; b = 2; m = o + 3; s = e + 1; e = g + 7; r = y + 3; q = m + 9. If b = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 1 to f, which gives f = e + 4.\n2. Substitute e = g + 7 to f, which gives f = g + 11.\n3. Substitute g = x + 8 to f, which gives f = x + 19.\n4. Substitute x = c + 8 to f, which gives f = c + 27.\n5. Substitute c = b + 12 to f, which gives f = b + 39.\n6. Substitute b = 2 to f, which gives f = 41.\n\nThus, the final answer is f = \\boxed{41}.",
"index": 6585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 14; x = c + 8; f = s + 3; c = b + 12; w = q + 9; g = x + 8; y = w + 3; b = 2; m = o + 3; s = e + 1; e = g + 7; r = y + 3; q = m + 9. If b = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 2", "l": "q + 16", "t": "l + 15", "x": "t + 11", "s": "x + 15", "n": "s + 12", "w": "r + 7", "i": "w + 6", "p": "i + 18", "c": "p + 4", "h": "c + 6", "a": "h + 7", "r": 9}, "premises": {"r": 9}, "target": "n"}, "answer": {"steps": [["s", "x + 15", "x + 27"], ["x", "t + 11", "t + 38"], ["t", "l + 15", "l + 53"], ["l", "q + 16", "q + 69"], ["q", "r + 2", "r + 71"], ["r", 9, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"r": 9}, "is_reverse": true}} | 6,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = t + 11; q = r + 2; t = l + 15; s = x + 15; l = q + 16; h = c + 6; n = s + 12; p = i + 18; a = h + 7; r = 9; i = w + 6; c = p + 4; w = r + 7. Given that r = 9, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 15 to n, which gives n = x + 27.\n2. Substitute x = t + 11 to n, which gives n = t + 38.\n3. Substitute t = l + 15 to n, which gives n = l + 53.\n4. Substitute l = q + 16 to n, which gives n = q + 69.\n5. Substitute q = r + 2 to n, which gives n = r + 71.\n6. Substitute r = 9 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 6586,
"question": "Suppose a collection of variables is related by the following definitions: x = t + 11; q = r + 2; t = l + 15; s = x + 15; l = q + 16; h = c + 6; n = s + 12; p = i + 18; a = h + 7; r = 9; i = w + 6; c = p + 4; w = r + 7. Given that r = 9, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 2", "i": "v + 16", "a": "i + 15", "u": "a + 12", "q": "u + 14", "m": "q + 18", "j": "h + 15", "s": "j + 20", "b": "s + 11", "n": "b + 1", "t": "n + 5", "l": "t + 14", "h": 12}, "premises": {"h": 12}, "target": "m"}, "answer": {"steps": [["q", "u + 14", "u + 32"], ["u", "a + 12", "a + 44"], ["a", "i + 15", "i + 59"], ["i", "v + 16", "v + 75"], ["v", "h + 2", "h + 77"], ["h", 12, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"h": 12}, "is_reverse": true}} | 6,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = h + 2; b = s + 11; j = h + 15; n = b + 1; t = n + 5; l = t + 14; u = a + 12; i = v + 16; m = q + 18; s = j + 20; h = 12; q = u + 14; a = i + 15. Given that h = 12, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 14 to m, which gives m = u + 32.\n2. Substitute u = a + 12 to m, which gives m = a + 44.\n3. Substitute a = i + 15 to m, which gives m = i + 59.\n4. Substitute i = v + 16 to m, which gives m = v + 75.\n5. Substitute v = h + 2 to m, which gives m = h + 77.\n6. Substitute h = 12 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 6587,
"question": "Suppose a collection of variables is related by the following definitions: v = h + 2; b = s + 11; j = h + 15; n = b + 1; t = n + 5; l = t + 14; u = a + 12; i = v + 16; m = q + 18; s = j + 20; h = 12; q = u + 14; a = i + 15. Given that h = 12, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 12", "u": "e + 13", "x": "u + 8", "t": "x + 1", "c": "t + 6", "h": "c + 11", "q": "o + 10", "g": "q + 20", "l": "g + 14", "m": "l + 14", "b": "m + 8", "z": "b + 13", "o": 18}, "premises": {"o": 18}, "target": "h"}, "answer": {"steps": [["c", "t + 6", "t + 17"], ["t", "x + 1", "x + 18"], ["x", "u + 8", "u + 26"], ["u", "e + 13", "e + 39"], ["e", "o + 12", "o + 51"], ["o", 18, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"o": 18}, "is_reverse": true}} | 6,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 11; m = l + 14; z = b + 13; l = g + 14; q = o + 10; b = m + 8; x = u + 8; u = e + 13; o = 18; g = q + 20; c = t + 6; t = x + 1; e = o + 12. Given that o = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 6 to h, which gives h = t + 17.\n2. Substitute t = x + 1 to h, which gives h = x + 18.\n3. Substitute x = u + 8 to h, which gives h = u + 26.\n4. Substitute u = e + 13 to h, which gives h = e + 39.\n5. Substitute e = o + 12 to h, which gives h = o + 51.\n6. Substitute o = 18 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 6588,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 11; m = l + 14; z = b + 13; l = g + 14; q = o + 10; b = m + 8; x = u + 8; u = e + 13; o = 18; g = q + 20; c = t + 6; t = x + 1; e = o + 12. Given that o = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 2", "i": "g + 16", "o": "i + 7", "u": "o + 18", "q": "u + 14", "c": "q + 4", "j": "t + 10", "w": "j + 11", "s": "w + 5", "n": "s + 5", "l": "n + 18", "m": "l + 10", "t": 13}, "premises": {"t": 13}, "target": "c"}, "answer": {"steps": [["q", "u + 14", "u + 18"], ["u", "o + 18", "o + 36"], ["o", "i + 7", "i + 43"], ["i", "g + 16", "g + 59"], ["g", "t + 2", "t + 61"], ["t", 13, "74"]], "target_var_name": "c", "target_value": 74, "value_dict": {"t": 13}, "is_reverse": true}} | 6,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 10; m = l + 10; i = g + 16; g = t + 2; u = o + 18; s = w + 5; q = u + 14; w = j + 11; t = 13; c = q + 4; l = n + 18; o = i + 7; n = s + 5. If t = 13, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 14 to c, which gives c = u + 18.\n2. Substitute u = o + 18 to c, which gives c = o + 36.\n3. Substitute o = i + 7 to c, which gives c = i + 43.\n4. Substitute i = g + 16 to c, which gives c = g + 59.\n5. Substitute g = t + 2 to c, which gives c = t + 61.\n6. Substitute t = 13 to c, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 6589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = t + 10; m = l + 10; i = g + 16; g = t + 2; u = o + 18; s = w + 5; q = u + 14; w = j + 11; t = 13; c = q + 4; l = n + 18; o = i + 7; n = s + 5. If t = 13, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 10", "s": "p + 4", "x": "s + 18", "o": "x + 12", "z": "o + 19", "y": "z + 9", "e": "m + 1", "j": "e + 11", "d": "j + 3", "k": "d + 17", "c": "k + 2", "i": "c + 2", "m": 17}, "premises": {"m": 17}, "target": "y"}, "answer": {"steps": [["z", "o + 19", "o + 28"], ["o", "x + 12", "x + 40"], ["x", "s + 18", "s + 58"], ["s", "p + 4", "p + 62"], ["p", "m + 10", "m + 72"], ["m", 17, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"m": 17}, "is_reverse": true}} | 6,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 2; o = x + 12; p = m + 10; s = p + 4; y = z + 9; e = m + 1; m = 17; x = s + 18; c = k + 2; z = o + 19; k = d + 17; j = e + 11; d = j + 3. If m = 17, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 19 to y, which gives y = o + 28.\n2. Substitute o = x + 12 to y, which gives y = x + 40.\n3. Substitute x = s + 18 to y, which gives y = s + 58.\n4. Substitute s = p + 4 to y, which gives y = p + 62.\n5. Substitute p = m + 10 to y, which gives y = m + 72.\n6. Substitute m = 17 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 6590,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 2; o = x + 12; p = m + 10; s = p + 4; y = z + 9; e = m + 1; m = 17; x = s + 18; c = k + 2; z = o + 19; k = d + 17; j = e + 11; d = j + 3. If m = 17, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 7", "o": "g + 12", "d": "o + 13", "u": "d + 1", "y": "u + 13", "x": "y + 6", "n": "i + 20", "c": "n + 5", "f": "c + 17", "z": "f + 9", "t": "z + 1", "s": "t + 4", "i": 7}, "premises": {"i": 7}, "target": "x"}, "answer": {"steps": [["y", "u + 13", "u + 19"], ["u", "d + 1", "d + 20"], ["d", "o + 13", "o + 33"], ["o", "g + 12", "g + 45"], ["g", "i + 7", "i + 52"], ["i", 7, "59"]], "target_var_name": "x", "target_value": 59, "value_dict": {"i": 7}, "is_reverse": true}} | 6,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 13; d = o + 13; t = z + 1; u = d + 1; i = 7; g = i + 7; o = g + 12; c = n + 5; x = y + 6; z = f + 9; n = i + 20; s = t + 4; f = c + 17. If i = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 13 to x, which gives x = u + 19.\n2. Substitute u = d + 1 to x, which gives x = d + 20.\n3. Substitute d = o + 13 to x, which gives x = o + 33.\n4. Substitute o = g + 12 to x, which gives x = g + 45.\n5. Substitute g = i + 7 to x, which gives x = i + 52.\n6. Substitute i = 7 to x, which gives x = 59.\n\nThus, the final answer is x = \\boxed{59}.",
"index": 6591,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 13; d = o + 13; t = z + 1; u = d + 1; i = 7; g = i + 7; o = g + 12; c = n + 5; x = y + 6; z = f + 9; n = i + 20; s = t + 4; f = c + 17. If i = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 1", "u": "h + 10", "z": "u + 13", "b": "z + 9", "a": "b + 17", "x": "a + 2", "e": "y + 15", "k": "e + 6", "d": "k + 4", "t": "d + 9", "q": "t + 20", "f": "q + 7", "y": 11}, "premises": {"y": 11}, "target": "x"}, "answer": {"steps": [["a", "b + 17", "b + 19"], ["b", "z + 9", "z + 28"], ["z", "u + 13", "u + 41"], ["u", "h + 10", "h + 51"], ["h", "y + 1", "y + 52"], ["y", 11, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"y": 11}, "is_reverse": true}} | 6,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 9; u = h + 10; e = y + 15; y = 11; q = t + 20; h = y + 1; f = q + 7; z = u + 13; d = k + 4; a = b + 17; k = e + 6; x = a + 2; b = z + 9. If y = 11, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 17 to x, which gives x = b + 19.\n2. Substitute b = z + 9 to x, which gives x = z + 28.\n3. Substitute z = u + 13 to x, which gives x = u + 41.\n4. Substitute u = h + 10 to x, which gives x = h + 51.\n5. Substitute h = y + 1 to x, which gives x = y + 52.\n6. Substitute y = 11 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 6592,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 9; u = h + 10; e = y + 15; y = 11; q = t + 20; h = y + 1; f = q + 7; z = u + 13; d = k + 4; a = b + 17; k = e + 6; x = a + 2; b = z + 9. If y = 11, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 4", "y": "r + 7", "i": "y + 9", "w": "i + 20", "u": "w + 4", "j": "u + 3", "l": "o + 5", "g": "l + 13", "n": "g + 17", "v": "n + 4", "t": "v + 20", "z": "t + 10", "o": 7}, "premises": {"o": 7}, "target": "j"}, "answer": {"steps": [["u", "w + 4", "w + 7"], ["w", "i + 20", "i + 27"], ["i", "y + 9", "y + 36"], ["y", "r + 7", "r + 43"], ["r", "o + 4", "o + 47"], ["o", 7, "54"]], "target_var_name": "j", "target_value": 54, "value_dict": {"o": 7}, "is_reverse": true}} | 6,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 3; v = n + 4; l = o + 5; z = t + 10; n = g + 17; i = y + 9; r = o + 4; y = r + 7; g = l + 13; t = v + 20; w = i + 20; u = w + 4; o = 7. If o = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 4 to j, which gives j = w + 7.\n2. Substitute w = i + 20 to j, which gives j = i + 27.\n3. Substitute i = y + 9 to j, which gives j = y + 36.\n4. Substitute y = r + 7 to j, which gives j = r + 43.\n5. Substitute r = o + 4 to j, which gives j = o + 47.\n6. Substitute o = 7 to j, which gives j = 54.\n\nThus, the final answer is j = \\boxed{54}.",
"index": 6593,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 3; v = n + 4; l = o + 5; z = t + 10; n = g + 17; i = y + 9; r = o + 4; y = r + 7; g = l + 13; t = v + 20; w = i + 20; u = w + 4; o = 7. If o = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 11", "c": "r + 18", "k": "c + 14", "g": "k + 1", "x": "g + 10", "e": "x + 1", "u": "v + 16", "z": "u + 16", "f": "z + 3", "q": "f + 5", "n": "q + 17", "m": "n + 1", "v": 12}, "premises": {"v": 12}, "target": "e"}, "answer": {"steps": [["x", "g + 10", "g + 11"], ["g", "k + 1", "k + 12"], ["k", "c + 14", "c + 26"], ["c", "r + 18", "r + 44"], ["r", "v + 11", "v + 55"], ["v", 12, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"v": 12}, "is_reverse": true}} | 6,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 1; n = q + 17; e = x + 1; z = u + 16; q = f + 5; v = 12; u = v + 16; r = v + 11; x = g + 10; m = n + 1; k = c + 14; f = z + 3; c = r + 18. If v = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 10 to e, which gives e = g + 11.\n2. Substitute g = k + 1 to e, which gives e = k + 12.\n3. Substitute k = c + 14 to e, which gives e = c + 26.\n4. Substitute c = r + 18 to e, which gives e = r + 44.\n5. Substitute r = v + 11 to e, which gives e = v + 55.\n6. Substitute v = 12 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 6594,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 1; n = q + 17; e = x + 1; z = u + 16; q = f + 5; v = 12; u = v + 16; r = v + 11; x = g + 10; m = n + 1; k = c + 14; f = z + 3; c = r + 18. If v = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 20", "u": "y + 18", "g": "u + 19", "c": "g + 1", "d": "c + 8", "f": "d + 12", "m": "p + 11", "w": "m + 9", "h": "w + 7", "x": "h + 15", "v": "x + 20", "i": "v + 1", "p": 1}, "premises": {"p": 1}, "target": "f"}, "answer": {"steps": [["d", "c + 8", "c + 20"], ["c", "g + 1", "g + 21"], ["g", "u + 19", "u + 40"], ["u", "y + 18", "y + 58"], ["y", "p + 20", "p + 78"], ["p", 1, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"p": 1}, "is_reverse": true}} | 6,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 1; d = c + 8; v = x + 20; y = p + 20; h = w + 7; m = p + 11; x = h + 15; g = u + 19; u = y + 18; w = m + 9; p = 1; f = d + 12; c = g + 1. If p = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 8 to f, which gives f = c + 20.\n2. Substitute c = g + 1 to f, which gives f = g + 21.\n3. Substitute g = u + 19 to f, which gives f = u + 40.\n4. Substitute u = y + 18 to f, which gives f = y + 58.\n5. Substitute y = p + 20 to f, which gives f = p + 78.\n6. Substitute p = 1 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 6595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 1; d = c + 8; v = x + 20; y = p + 20; h = w + 7; m = p + 11; x = h + 15; g = u + 19; u = y + 18; w = m + 9; p = 1; f = d + 12; c = g + 1. If p = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 2", "u": "o + 11", "f": "u + 7", "c": "f + 9", "d": "c + 4", "t": "d + 20", "y": "i + 9", "z": "y + 6", "h": "z + 4", "b": "h + 16", "q": "b + 7", "e": "q + 17", "i": 16}, "premises": {"i": 16}, "target": "t"}, "answer": {"steps": [["d", "c + 4", "c + 24"], ["c", "f + 9", "f + 33"], ["f", "u + 7", "u + 40"], ["u", "o + 11", "o + 51"], ["o", "i + 2", "i + 53"], ["i", 16, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"i": 16}, "is_reverse": true}} | 6,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = o + 11; f = u + 7; c = f + 9; q = b + 7; b = h + 16; y = i + 9; i = 16; e = q + 17; t = d + 20; z = y + 6; h = z + 4; o = i + 2; d = c + 4. If i = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 4 to t, which gives t = c + 24.\n2. Substitute c = f + 9 to t, which gives t = f + 33.\n3. Substitute f = u + 7 to t, which gives t = u + 40.\n4. Substitute u = o + 11 to t, which gives t = o + 51.\n5. Substitute o = i + 2 to t, which gives t = i + 53.\n6. Substitute i = 16 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 6596,
"question": "Consider a system of variables where each variable is defined as follows: u = o + 11; f = u + 7; c = f + 9; q = b + 7; b = h + 16; y = i + 9; i = 16; e = q + 17; t = d + 20; z = y + 6; h = z + 4; o = i + 2; d = c + 4. If i = 16, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 20", "v": "o + 7", "j": "v + 13", "q": "j + 19", "n": "q + 16", "w": "n + 20", "d": "k + 10", "g": "d + 19", "a": "g + 8", "r": "a + 7", "t": "r + 5", "f": "t + 2", "k": 4}, "premises": {"k": 4}, "target": "w"}, "answer": {"steps": [["n", "q + 16", "q + 36"], ["q", "j + 19", "j + 55"], ["j", "v + 13", "v + 68"], ["v", "o + 7", "o + 75"], ["o", "k + 20", "k + 95"], ["k", 4, "99"]], "target_var_name": "w", "target_value": 99, "value_dict": {"k": 4}, "is_reverse": true}} | 6,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 7; d = k + 10; n = q + 16; q = j + 19; t = r + 5; j = v + 13; a = g + 8; w = n + 20; k = 4; f = t + 2; o = k + 20; r = a + 7; g = d + 19. If k = 4, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 16 to w, which gives w = q + 36.\n2. Substitute q = j + 19 to w, which gives w = j + 55.\n3. Substitute j = v + 13 to w, which gives w = v + 68.\n4. Substitute v = o + 7 to w, which gives w = o + 75.\n5. Substitute o = k + 20 to w, which gives w = k + 95.\n6. Substitute k = 4 to w, which gives w = 99.\n\nThus, the final answer is w = \\boxed{99}.",
"index": 6597,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 7; d = k + 10; n = q + 16; q = j + 19; t = r + 5; j = v + 13; a = g + 8; w = n + 20; k = 4; f = t + 2; o = k + 20; r = a + 7; g = d + 19. If k = 4, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 6", "n": "a + 3", "f": "n + 5", "c": "f + 20", "x": "c + 19", "j": "x + 14", "l": "k + 6", "y": "l + 15", "q": "y + 18", "r": "q + 17", "i": "r + 14", "b": "i + 12", "k": 7}, "premises": {"k": 7}, "target": "j"}, "answer": {"steps": [["x", "c + 19", "c + 33"], ["c", "f + 20", "f + 53"], ["f", "n + 5", "n + 58"], ["n", "a + 3", "a + 61"], ["a", "k + 6", "k + 67"], ["k", 7, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"k": 7}, "is_reverse": true}} | 6,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 14; k = 7; c = f + 20; i = r + 14; y = l + 15; q = y + 18; f = n + 5; n = a + 3; b = i + 12; a = k + 6; x = c + 19; r = q + 17; l = k + 6. Given that k = 7, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 19 to j, which gives j = c + 33.\n2. Substitute c = f + 20 to j, which gives j = f + 53.\n3. Substitute f = n + 5 to j, which gives j = n + 58.\n4. Substitute n = a + 3 to j, which gives j = a + 61.\n5. Substitute a = k + 6 to j, which gives j = k + 67.\n6. Substitute k = 7 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 6598,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 14; k = 7; c = f + 20; i = r + 14; y = l + 15; q = y + 18; f = n + 5; n = a + 3; b = i + 12; a = k + 6; x = c + 19; r = q + 17; l = k + 6. Given that k = 7, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 18", "m": "k + 5", "a": "m + 18", "x": "a + 17", "d": "x + 17", "g": "d + 11", "u": "e + 2", "b": "u + 15", "y": "b + 16", "n": "y + 10", "p": "n + 6", "t": "p + 6", "e": 20}, "premises": {"e": 20}, "target": "g"}, "answer": {"steps": [["d", "x + 17", "x + 28"], ["x", "a + 17", "a + 45"], ["a", "m + 18", "m + 63"], ["m", "k + 5", "k + 68"], ["k", "e + 18", "e + 86"], ["e", 20, "106"]], "target_var_name": "g", "target_value": 106, "value_dict": {"e": 20}, "is_reverse": true}} | 6,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 17; p = n + 6; m = k + 5; t = p + 6; g = d + 11; y = b + 16; u = e + 2; b = u + 15; k = e + 18; x = a + 17; n = y + 10; a = m + 18; e = 20. Given that e = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 17 to g, which gives g = x + 28.\n2. Substitute x = a + 17 to g, which gives g = a + 45.\n3. Substitute a = m + 18 to g, which gives g = m + 63.\n4. Substitute m = k + 5 to g, which gives g = k + 68.\n5. Substitute k = e + 18 to g, which gives g = e + 86.\n6. Substitute e = 20 to g, which gives g = 106.\n\nThus, the final answer is g = \\boxed{106}.",
"index": 6599,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 17; p = n + 6; m = k + 5; t = p + 6; g = d + 11; y = b + 16; u = e + 2; b = u + 15; k = e + 18; x = a + 17; n = y + 10; a = m + 18; e = 20. Given that e = 20, find the value of g.",
"split": "train"
} |
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