meta stringlengths 521 549 | 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": {"o": "p + 10", "i": "o + 3", "s": "i + 7", "d": "s + 16", "u": "d + 12", "m": "u + 17", "l": "p + 4", "j": "l + 9", "n": "j + 9", "v": "n + 20", "r": "v + 7", "c": "r + 1", "p": 8}, "premises": {"p": 8}, "target": "m"}, "answer": {"steps": [["o", "p + 10", 18], ["i", "o + 3", 21], ["s", "i + 7", 28], ["d", "s + 16", 44], ["u", "d + 12", 56], ["m", "u + 17", 73]], "target_var_name": "m", "target_value": 73, "value_dict": {"p": 8, "o": 18, "i": 21, "s": 28, "d": 44, "u": 56, "m": 73}, "is_reverse": false}} | 900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 10; c = r + 1; m = u + 17; d = s + 16; s = i + 7; v = n + 20; p = 8; i = o + 3; l = p + 4; j = l + 9; n = j + 9; u = d + 12; r = v + 7. Given that p = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = p + 10, which gives o = 18.\n2. Compute i using i = o + 3, which gives i = 21.\n3. Compute s using s = i + 7, which gives s = 28.\n4. Compute d using d = s + 16, which gives d = 44.\n5. Compute u using u = d + 12, which gives u = 56.\n6. Compute m using m = u + 17, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 900,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 10; c = r + 1; m = u + 17; d = s + 16; s = i + 7; v = n + 20; p = 8; i = o + 3; l = p + 4; j = l + 9; n = j + 9; u = d + 12; r = v + 7. Given that p = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 11", "d": "f + 3", "a": "d + 19", "z": "a + 20", "x": "z + 20", "e": "x + 3", "y": "q + 8", "r": "y + 3", "b": "r + 20", "u": "b + 12", "c": "u + 9", "t": "c + 7", "q": 3}, "premises": {"q": 3}, "target": "e"}, "answer": {"steps": [["f", "q + 11", 14], ["d", "f + 3", 17], ["a", "d + 19", 36], ["z", "a + 20", 56], ["x", "z + 20", 76], ["e", "x + 3", 79]], "target_var_name": "e", "target_value": 79, "value_dict": {"q": 3, "f": 14, "d": 17, "a": 36, "z": 56, "x": 76, "e": 79}, "is_reverse": false}} | 901 | 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 = b + 12; e = x + 3; y = q + 8; d = f + 3; f = q + 11; x = z + 20; a = d + 19; z = a + 20; b = r + 20; q = 3; r = y + 3; c = u + 9; t = c + 7. If q = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = q + 11, which gives f = 14.\n2. Compute d using d = f + 3, which gives d = 17.\n3. Compute a using a = d + 19, which gives a = 36.\n4. Compute z using z = a + 20, which gives z = 56.\n5. Compute x using x = z + 20, which gives x = 76.\n6. Compute e using e = x + 3, which gives e = 79.\n\nThus, the final answer is e = \\boxed{79}.",
"index": 901,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 12; e = x + 3; y = q + 8; d = f + 3; f = q + 11; x = z + 20; a = d + 19; z = a + 20; b = r + 20; q = 3; r = y + 3; c = u + 9; t = c + 7. If q = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 8", "x": "t + 14", "m": "x + 4", "c": "m + 1", "y": "c + 2", "b": "y + 12", "l": "p + 16", "n": "l + 1", "e": "n + 13", "o": "e + 10", "a": "o + 12", "f": "a + 8", "p": 5}, "premises": {"p": 5}, "target": "b"}, "answer": {"steps": [["t", "p + 8", 13], ["x", "t + 14", 27], ["m", "x + 4", 31], ["c", "m + 1", 32], ["y", "c + 2", 34], ["b", "y + 12", 46]], "target_var_name": "b", "target_value": 46, "value_dict": {"p": 5, "t": 13, "x": 27, "m": 31, "c": 32, "y": 34, "b": 46}, "is_reverse": false}} | 902 | 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 = p + 16; m = x + 4; n = l + 1; p = 5; b = y + 12; f = a + 8; a = o + 12; y = c + 2; e = n + 13; x = t + 14; t = p + 8; c = m + 1; o = e + 10. If p = 5, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = p + 8, which gives t = 13.\n2. Compute x using x = t + 14, which gives x = 27.\n3. Compute m using m = x + 4, which gives m = 31.\n4. Compute c using c = m + 1, which gives c = 32.\n5. Compute y using y = c + 2, which gives y = 34.\n6. Compute b using b = y + 12, which gives b = 46.\n\nThus, the final answer is b = \\boxed{46}.",
"index": 902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = p + 16; m = x + 4; n = l + 1; p = 5; b = y + 12; f = a + 8; a = o + 12; y = c + 2; e = n + 13; x = t + 14; t = p + 8; c = m + 1; o = e + 10. If p = 5, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 5", "v": "r + 7", "c": "v + 4", "l": "c + 5", "z": "l + 15", "m": "z + 4", "u": "h + 15", "k": "u + 15", "y": "k + 1", "w": "y + 16", "q": "w + 14", "g": "q + 3", "h": 6}, "premises": {"h": 6}, "target": "m"}, "answer": {"steps": [["r", "h + 5", 11], ["v", "r + 7", 18], ["c", "v + 4", 22], ["l", "c + 5", 27], ["z", "l + 15", 42], ["m", "z + 4", 46]], "target_var_name": "m", "target_value": 46, "value_dict": {"h": 6, "r": 11, "v": 18, "c": 22, "l": 27, "z": 42, "m": 46}, "is_reverse": false}} | 903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 14; c = v + 4; g = q + 3; u = h + 15; m = z + 4; v = r + 7; r = h + 5; y = k + 1; h = 6; z = l + 15; l = c + 5; k = u + 15; w = y + 16. If h = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = h + 5, which gives r = 11.\n2. Compute v using v = r + 7, which gives v = 18.\n3. Compute c using c = v + 4, which gives c = 22.\n4. Compute l using l = c + 5, which gives l = 27.\n5. Compute z using z = l + 15, which gives z = 42.\n6. Compute m using m = z + 4, which gives m = 46.\n\nThus, the final answer is m = \\boxed{46}.",
"index": 903,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 14; c = v + 4; g = q + 3; u = h + 15; m = z + 4; v = r + 7; r = h + 5; y = k + 1; h = 6; z = l + 15; l = c + 5; k = u + 15; w = y + 16. If h = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 8", "c": "p + 4", "q": "c + 20", "i": "q + 13", "u": "i + 8", "b": "u + 15", "g": "o + 10", "w": "g + 17", "j": "w + 18", "n": "j + 3", "k": "n + 3", "l": "k + 7", "o": 6}, "premises": {"o": 6}, "target": "b"}, "answer": {"steps": [["p", "o + 8", 14], ["c", "p + 4", 18], ["q", "c + 20", 38], ["i", "q + 13", 51], ["u", "i + 8", 59], ["b", "u + 15", 74]], "target_var_name": "b", "target_value": 74, "value_dict": {"o": 6, "p": 14, "c": 18, "q": 38, "i": 51, "u": 59, "b": 74}, "is_reverse": false}} | 904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 17; b = u + 15; q = c + 20; o = 6; i = q + 13; j = w + 18; p = o + 8; c = p + 4; l = k + 7; k = n + 3; u = i + 8; n = j + 3; g = o + 10. If o = 6, 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. Compute p using p = o + 8, which gives p = 14.\n2. Compute c using c = p + 4, which gives c = 18.\n3. Compute q using q = c + 20, which gives q = 38.\n4. Compute i using i = q + 13, which gives i = 51.\n5. Compute u using u = i + 8, which gives u = 59.\n6. Compute b using b = u + 15, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 904,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 17; b = u + 15; q = c + 20; o = 6; i = q + 13; j = w + 18; p = o + 8; c = p + 4; l = k + 7; k = n + 3; u = i + 8; n = j + 3; g = o + 10. If o = 6, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 18", "p": "z + 14", "x": "p + 20", "s": "x + 19", "o": "s + 11", "v": "o + 15", "j": "k + 9", "e": "j + 20", "g": "e + 14", "w": "g + 3", "y": "w + 15", "c": "y + 6", "k": 17}, "premises": {"k": 17}, "target": "v"}, "answer": {"steps": [["z", "k + 18", 35], ["p", "z + 14", 49], ["x", "p + 20", 69], ["s", "x + 19", 88], ["o", "s + 11", 99], ["v", "o + 15", 114]], "target_var_name": "v", "target_value": 114, "value_dict": {"k": 17, "z": 35, "p": 49, "x": 69, "s": 88, "o": 99, "v": 114}, "is_reverse": false}} | 905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 6; e = j + 20; y = w + 15; v = o + 15; p = z + 14; o = s + 11; x = p + 20; z = k + 18; s = x + 19; j = k + 9; w = g + 3; g = e + 14; k = 17. Given that k = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 114,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = k + 18, which gives z = 35.\n2. Compute p using p = z + 14, which gives p = 49.\n3. Compute x using x = p + 20, which gives x = 69.\n4. Compute s using s = x + 19, which gives s = 88.\n5. Compute o using o = s + 11, which gives o = 99.\n6. Compute v using v = o + 15, which gives v = 114.\n\nThus, the final answer is v = \\boxed{114}.",
"index": 905,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 6; e = j + 20; y = w + 15; v = o + 15; p = z + 14; o = s + 11; x = p + 20; z = k + 18; s = x + 19; j = k + 9; w = g + 3; g = e + 14; k = 17. Given that k = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 10", "n": "s + 19", "v": "n + 2", "h": "v + 9", "j": "h + 9", "f": "j + 14", "i": "u + 20", "r": "i + 9", "k": "r + 4", "p": "k + 10", "o": "p + 19", "m": "o + 5", "u": 5}, "premises": {"u": 5}, "target": "f"}, "answer": {"steps": [["s", "u + 10", 15], ["n", "s + 19", 34], ["v", "n + 2", 36], ["h", "v + 9", 45], ["j", "h + 9", 54], ["f", "j + 14", 68]], "target_var_name": "f", "target_value": 68, "value_dict": {"u": 5, "s": 15, "n": 34, "v": 36, "h": 45, "j": 54, "f": 68}, "is_reverse": false}} | 906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 5; k = r + 4; m = o + 5; i = u + 20; f = j + 14; o = p + 19; h = v + 9; v = n + 2; p = k + 10; r = i + 9; j = h + 9; s = u + 10; n = s + 19. If u = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = u + 10, which gives s = 15.\n2. Compute n using n = s + 19, which gives n = 34.\n3. Compute v using v = n + 2, which gives v = 36.\n4. Compute h using h = v + 9, which gives h = 45.\n5. Compute j using j = h + 9, which gives j = 54.\n6. Compute f using f = j + 14, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 906,
"question": "Consider a system of variables where each variable is defined as follows: u = 5; k = r + 4; m = o + 5; i = u + 20; f = j + 14; o = p + 19; h = v + 9; v = n + 2; p = k + 10; r = i + 9; j = h + 9; s = u + 10; n = s + 19. If u = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 6", "i": "e + 18", "m": "i + 9", "l": "m + 20", "h": "l + 20", "a": "h + 18", "r": "t + 20", "d": "r + 2", "p": "d + 15", "u": "p + 2", "b": "u + 8", "s": "b + 10", "t": 2}, "premises": {"t": 2}, "target": "a"}, "answer": {"steps": [["e", "t + 6", 8], ["i", "e + 18", 26], ["m", "i + 9", 35], ["l", "m + 20", 55], ["h", "l + 20", 75], ["a", "h + 18", 93]], "target_var_name": "a", "target_value": 93, "value_dict": {"t": 2, "e": 8, "i": 26, "m": 35, "l": 55, "h": 75, "a": 93}, "is_reverse": false}} | 907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 20; s = b + 10; i = e + 18; d = r + 2; r = t + 20; t = 2; p = d + 15; u = p + 2; m = i + 9; a = h + 18; e = t + 6; b = u + 8; l = m + 20. If t = 2, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = t + 6, which gives e = 8.\n2. Compute i using i = e + 18, which gives i = 26.\n3. Compute m using m = i + 9, which gives m = 35.\n4. Compute l using l = m + 20, which gives l = 55.\n5. Compute h using h = l + 20, which gives h = 75.\n6. Compute a using a = h + 18, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 907,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 20; s = b + 10; i = e + 18; d = r + 2; r = t + 20; t = 2; p = d + 15; u = p + 2; m = i + 9; a = h + 18; e = t + 6; b = u + 8; l = m + 20. If t = 2, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 14", "v": "s + 10", "w": "v + 19", "x": "w + 4", "i": "x + 16", "d": "i + 1", "e": "p + 12", "r": "e + 19", "q": "r + 19", "c": "q + 10", "k": "c + 2", "b": "k + 2", "p": 4}, "premises": {"p": 4}, "target": "d"}, "answer": {"steps": [["s", "p + 14", 18], ["v", "s + 10", 28], ["w", "v + 19", 47], ["x", "w + 4", 51], ["i", "x + 16", 67], ["d", "i + 1", 68]], "target_var_name": "d", "target_value": 68, "value_dict": {"p": 4, "s": 18, "v": 28, "w": 47, "x": 51, "i": 67, "d": 68}, "is_reverse": false}} | 908 | 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 = x + 16; q = r + 19; k = c + 2; e = p + 12; d = i + 1; p = 4; r = e + 19; w = v + 19; v = s + 10; x = w + 4; c = q + 10; s = p + 14; b = k + 2. If p = 4, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = p + 14, which gives s = 18.\n2. Compute v using v = s + 10, which gives v = 28.\n3. Compute w using w = v + 19, which gives w = 47.\n4. Compute x using x = w + 4, which gives x = 51.\n5. Compute i using i = x + 16, which gives i = 67.\n6. Compute d using d = i + 1, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 16; q = r + 19; k = c + 2; e = p + 12; d = i + 1; p = 4; r = e + 19; w = v + 19; v = s + 10; x = w + 4; c = q + 10; s = p + 14; b = k + 2. If p = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 8", "k": "x + 18", "l": "k + 3", "v": "l + 14", "o": "v + 4", "f": "o + 9", "p": "d + 18", "s": "p + 3", "e": "s + 6", "h": "e + 11", "m": "h + 5", "z": "m + 19", "d": 6}, "premises": {"d": 6}, "target": "f"}, "answer": {"steps": [["x", "d + 8", 14], ["k", "x + 18", 32], ["l", "k + 3", 35], ["v", "l + 14", 49], ["o", "v + 4", 53], ["f", "o + 9", 62]], "target_var_name": "f", "target_value": 62, "value_dict": {"d": 6, "x": 14, "k": 32, "l": 35, "v": 49, "o": 53, "f": 62}, "is_reverse": false}} | 909 | 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 + 18; p = d + 18; m = h + 5; x = d + 8; z = m + 19; e = s + 6; o = v + 4; h = e + 11; d = 6; v = l + 14; l = k + 3; f = o + 9; s = p + 3. If d = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = d + 8, which gives x = 14.\n2. Compute k using k = x + 18, which gives k = 32.\n3. Compute l using l = k + 3, which gives l = 35.\n4. Compute v using v = l + 14, which gives v = 49.\n5. Compute o using o = v + 4, which gives o = 53.\n6. Compute f using f = o + 9, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 909,
"question": "Consider a system of variables where each variable is defined as follows: k = x + 18; p = d + 18; m = h + 5; x = d + 8; z = m + 19; e = s + 6; o = v + 4; h = e + 11; d = 6; v = l + 14; l = k + 3; f = o + 9; s = p + 3. If d = 6, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 10", "d": "q + 15", "a": "d + 12", "z": "a + 19", "i": "z + 16", "h": "i + 4", "x": "c + 14", "n": "x + 5", "j": "n + 9", "l": "j + 16", "y": "l + 16", "k": "y + 11", "c": 18}, "premises": {"c": 18}, "target": "h"}, "answer": {"steps": [["q", "c + 10", 28], ["d", "q + 15", 43], ["a", "d + 12", 55], ["z", "a + 19", 74], ["i", "z + 16", 90], ["h", "i + 4", 94]], "target_var_name": "h", "target_value": 94, "value_dict": {"c": 18, "q": 28, "d": 43, "a": 55, "z": 74, "i": 90, "h": 94}, "is_reverse": false}} | 910 | 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 = i + 4; y = l + 16; z = a + 19; c = 18; x = c + 14; k = y + 11; a = d + 12; n = x + 5; j = n + 9; l = j + 16; q = c + 10; i = z + 16; d = q + 15. If c = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = c + 10, which gives q = 28.\n2. Compute d using d = q + 15, which gives d = 43.\n3. Compute a using a = d + 12, which gives a = 55.\n4. Compute z using z = a + 19, which gives z = 74.\n5. Compute i using i = z + 16, which gives i = 90.\n6. Compute h using h = i + 4, which gives h = 94.\n\nThus, the final answer is h = \\boxed{94}.",
"index": 910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 4; y = l + 16; z = a + 19; c = 18; x = c + 14; k = y + 11; a = d + 12; n = x + 5; j = n + 9; l = j + 16; q = c + 10; i = z + 16; d = q + 15. If c = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 20", "q": "b + 20", "d": "q + 9", "c": "d + 6", "y": "c + 3", "e": "y + 7", "p": "z + 8", "o": "p + 3", "g": "o + 5", "a": "g + 4", "x": "a + 14", "i": "x + 4", "z": 9}, "premises": {"z": 9}, "target": "e"}, "answer": {"steps": [["b", "z + 20", 29], ["q", "b + 20", 49], ["d", "q + 9", 58], ["c", "d + 6", 64], ["y", "c + 3", 67], ["e", "y + 7", 74]], "target_var_name": "e", "target_value": 74, "value_dict": {"z": 9, "b": 29, "q": 49, "d": 58, "c": 64, "y": 67, "e": 74}, "is_reverse": false}} | 911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 3; e = y + 7; a = g + 4; o = p + 3; p = z + 8; c = d + 6; i = x + 4; z = 9; d = q + 9; b = z + 20; g = o + 5; x = a + 14; q = b + 20. If z = 9, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = z + 20, which gives b = 29.\n2. Compute q using q = b + 20, which gives q = 49.\n3. Compute d using d = q + 9, which gives d = 58.\n4. Compute c using c = d + 6, which gives c = 64.\n5. Compute y using y = c + 3, which gives y = 67.\n6. Compute e using e = y + 7, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 911,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 3; e = y + 7; a = g + 4; o = p + 3; p = z + 8; c = d + 6; i = x + 4; z = 9; d = q + 9; b = z + 20; g = o + 5; x = a + 14; q = b + 20. If z = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 9", "y": "q + 12", "h": "y + 14", "n": "h + 19", "w": "n + 20", "p": "w + 9", "d": "z + 9", "m": "d + 20", "t": "m + 2", "k": "t + 12", "f": "k + 6", "x": "f + 17", "z": 6}, "premises": {"z": 6}, "target": "p"}, "answer": {"steps": [["q", "z + 9", 15], ["y", "q + 12", 27], ["h", "y + 14", 41], ["n", "h + 19", 60], ["w", "n + 20", 80], ["p", "w + 9", 89]], "target_var_name": "p", "target_value": 89, "value_dict": {"z": 6, "q": 15, "y": 27, "h": 41, "n": 60, "w": 80, "p": 89}, "is_reverse": false}} | 912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 12; y = q + 12; m = d + 20; n = h + 19; h = y + 14; q = z + 9; t = m + 2; z = 6; p = w + 9; x = f + 17; d = z + 9; w = n + 20; f = k + 6. Given that z = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = z + 9, which gives q = 15.\n2. Compute y using y = q + 12, which gives y = 27.\n3. Compute h using h = y + 14, which gives h = 41.\n4. Compute n using n = h + 19, which gives n = 60.\n5. Compute w using w = n + 20, which gives w = 80.\n6. Compute p using p = w + 9, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 912,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 12; y = q + 12; m = d + 20; n = h + 19; h = y + 14; q = z + 9; t = m + 2; z = 6; p = w + 9; x = f + 17; d = z + 9; w = n + 20; f = k + 6. Given that z = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 6", "o": "u + 3", "s": "o + 6", "e": "s + 18", "v": "e + 6", "z": "v + 15", "q": "i + 7", "r": "q + 11", "d": "r + 20", "p": "d + 14", "h": "p + 4", "n": "h + 12", "i": 14}, "premises": {"i": 14}, "target": "z"}, "answer": {"steps": [["u", "i + 6", 20], ["o", "u + 3", 23], ["s", "o + 6", 29], ["e", "s + 18", 47], ["v", "e + 6", 53], ["z", "v + 15", 68]], "target_var_name": "z", "target_value": 68, "value_dict": {"i": 14, "u": 20, "o": 23, "s": 29, "e": 47, "v": 53, "z": 68}, "is_reverse": false}} | 913 | 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 = u + 3; n = h + 12; i = 14; r = q + 11; u = i + 6; d = r + 20; s = o + 6; q = i + 7; e = s + 18; v = e + 6; h = p + 4; p = d + 14; z = v + 15. If i = 14, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = i + 6, which gives u = 20.\n2. Compute o using o = u + 3, which gives o = 23.\n3. Compute s using s = o + 6, which gives s = 29.\n4. Compute e using e = s + 18, which gives e = 47.\n5. Compute v using v = e + 6, which gives v = 53.\n6. Compute z using z = v + 15, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 3; n = h + 12; i = 14; r = q + 11; u = i + 6; d = r + 20; s = o + 6; q = i + 7; e = s + 18; v = e + 6; h = p + 4; p = d + 14; z = v + 15. If i = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 20", "k": "g + 11", "a": "k + 18", "z": "a + 15", "s": "z + 9", "m": "s + 20", "l": "v + 17", "f": "l + 7", "h": "f + 9", "p": "h + 13", "j": "p + 13", "c": "j + 1", "v": 8}, "premises": {"v": 8}, "target": "m"}, "answer": {"steps": [["g", "v + 20", 28], ["k", "g + 11", 39], ["a", "k + 18", 57], ["z", "a + 15", 72], ["s", "z + 9", 81], ["m", "s + 20", 101]], "target_var_name": "m", "target_value": 101, "value_dict": {"v": 8, "g": 28, "k": 39, "a": 57, "z": 72, "s": 81, "m": 101}, "is_reverse": false}} | 914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 9; v = 8; m = s + 20; h = f + 9; k = g + 11; c = j + 1; a = k + 18; l = v + 17; p = h + 13; f = l + 7; z = a + 15; j = p + 13; g = v + 20. If v = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = v + 20, which gives g = 28.\n2. Compute k using k = g + 11, which gives k = 39.\n3. Compute a using a = k + 18, which gives a = 57.\n4. Compute z using z = a + 15, which gives z = 72.\n5. Compute s using s = z + 9, which gives s = 81.\n6. Compute m using m = s + 20, which gives m = 101.\n\nThus, the final answer is m = \\boxed{101}.",
"index": 914,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 9; v = 8; m = s + 20; h = f + 9; k = g + 11; c = j + 1; a = k + 18; l = v + 17; p = h + 13; f = l + 7; z = a + 15; j = p + 13; g = v + 20. If v = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 14", "d": "f + 19", "v": "d + 19", "o": "v + 19", "z": "o + 12", "j": "z + 3", "l": "a + 8", "b": "l + 6", "q": "b + 7", "h": "q + 18", "i": "h + 8", "e": "i + 19", "a": 4}, "premises": {"a": 4}, "target": "j"}, "answer": {"steps": [["f", "a + 14", 18], ["d", "f + 19", 37], ["v", "d + 19", 56], ["o", "v + 19", 75], ["z", "o + 12", 87], ["j", "z + 3", 90]], "target_var_name": "j", "target_value": 90, "value_dict": {"a": 4, "f": 18, "d": 37, "v": 56, "o": 75, "z": 87, "j": 90}, "is_reverse": false}} | 915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 19; o = v + 19; f = a + 14; z = o + 12; j = z + 3; h = q + 18; i = h + 8; q = b + 7; l = a + 8; d = f + 19; a = 4; e = i + 19; b = l + 6. Given that a = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = a + 14, which gives f = 18.\n2. Compute d using d = f + 19, which gives d = 37.\n3. Compute v using v = d + 19, which gives v = 56.\n4. Compute o using o = v + 19, which gives o = 75.\n5. Compute z using z = o + 12, which gives z = 87.\n6. Compute j using j = z + 3, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 915,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 19; o = v + 19; f = a + 14; z = o + 12; j = z + 3; h = q + 18; i = h + 8; q = b + 7; l = a + 8; d = f + 19; a = 4; e = i + 19; b = l + 6. Given that a = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 1", "m": "t + 3", "l": "m + 14", "e": "l + 7", "n": "e + 11", "h": "n + 16", "k": "w + 19", "g": "k + 13", "j": "g + 16", "s": "j + 9", "a": "s + 5", "v": "a + 9", "w": 3}, "premises": {"w": 3}, "target": "h"}, "answer": {"steps": [["t", "w + 1", 4], ["m", "t + 3", 7], ["l", "m + 14", 21], ["e", "l + 7", 28], ["n", "e + 11", 39], ["h", "n + 16", 55]], "target_var_name": "h", "target_value": 55, "value_dict": {"w": 3, "t": 4, "m": 7, "l": 21, "e": 28, "n": 39, "h": 55}, "is_reverse": false}} | 916 | 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 + 13; l = m + 14; a = s + 5; j = g + 16; k = w + 19; m = t + 3; s = j + 9; t = w + 1; h = n + 16; n = e + 11; v = a + 9; e = l + 7; w = 3. If w = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = w + 1, which gives t = 4.\n2. Compute m using m = t + 3, which gives m = 7.\n3. Compute l using l = m + 14, which gives l = 21.\n4. Compute e using e = l + 7, which gives e = 28.\n5. Compute n using n = e + 11, which gives n = 39.\n6. Compute h using h = n + 16, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 916,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 13; l = m + 14; a = s + 5; j = g + 16; k = w + 19; m = t + 3; s = j + 9; t = w + 1; h = n + 16; n = e + 11; v = a + 9; e = l + 7; w = 3. If w = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 15", "t": "r + 20", "a": "t + 13", "u": "a + 5", "k": "u + 16", "o": "k + 10", "f": "g + 2", "w": "f + 8", "j": "w + 5", "i": "j + 19", "c": "i + 2", "m": "c + 8", "g": 1}, "premises": {"g": 1}, "target": "o"}, "answer": {"steps": [["r", "g + 15", 16], ["t", "r + 20", 36], ["a", "t + 13", 49], ["u", "a + 5", 54], ["k", "u + 16", 70], ["o", "k + 10", 80]], "target_var_name": "o", "target_value": 80, "value_dict": {"g": 1, "r": 16, "t": 36, "a": 49, "u": 54, "k": 70, "o": 80}, "is_reverse": false}} | 917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = g + 15; a = t + 13; c = i + 2; o = k + 10; g = 1; i = j + 19; k = u + 16; m = c + 8; u = a + 5; t = r + 20; j = w + 5; f = g + 2; w = f + 8. If g = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = g + 15, which gives r = 16.\n2. Compute t using t = r + 20, which gives t = 36.\n3. Compute a using a = t + 13, which gives a = 49.\n4. Compute u using u = a + 5, which gives u = 54.\n5. Compute k using k = u + 16, which gives k = 70.\n6. Compute o using o = k + 10, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 917,
"question": "Consider a system of variables where each variable is defined as follows: r = g + 15; a = t + 13; c = i + 2; o = k + 10; g = 1; i = j + 19; k = u + 16; m = c + 8; u = a + 5; t = r + 20; j = w + 5; f = g + 2; w = f + 8. If g = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 16", "a": "q + 12", "r": "a + 13", "h": "r + 5", "l": "h + 1", "j": "l + 13", "e": "i + 15", "p": "e + 13", "d": "p + 7", "m": "d + 11", "u": "m + 14", "o": "u + 12", "i": 4}, "premises": {"i": 4}, "target": "j"}, "answer": {"steps": [["q", "i + 16", 20], ["a", "q + 12", 32], ["r", "a + 13", 45], ["h", "r + 5", 50], ["l", "h + 1", 51], ["j", "l + 13", 64]], "target_var_name": "j", "target_value": 64, "value_dict": {"i": 4, "q": 20, "a": 32, "r": 45, "h": 50, "l": 51, "j": 64}, "is_reverse": false}} | 918 | 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 = h + 1; q = i + 16; a = q + 12; h = r + 5; j = l + 13; r = a + 13; d = p + 7; m = d + 11; p = e + 13; u = m + 14; o = u + 12; e = i + 15; i = 4. If i = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = i + 16, which gives q = 20.\n2. Compute a using a = q + 12, which gives a = 32.\n3. Compute r using r = a + 13, which gives r = 45.\n4. Compute h using h = r + 5, which gives h = 50.\n5. Compute l using l = h + 1, which gives l = 51.\n6. Compute j using j = l + 13, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 918,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 1; q = i + 16; a = q + 12; h = r + 5; j = l + 13; r = a + 13; d = p + 7; m = d + 11; p = e + 13; u = m + 14; o = u + 12; e = i + 15; i = 4. If i = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 11", "w": "s + 11", "u": "w + 12", "v": "u + 2", "j": "v + 20", "b": "j + 19", "c": "z + 14", "g": "c + 15", "o": "g + 18", "l": "o + 15", "h": "l + 11", "e": "h + 13", "z": 12}, "premises": {"z": 12}, "target": "b"}, "answer": {"steps": [["s", "z + 11", 23], ["w", "s + 11", 34], ["u", "w + 12", 46], ["v", "u + 2", 48], ["j", "v + 20", 68], ["b", "j + 19", 87]], "target_var_name": "b", "target_value": 87, "value_dict": {"z": 12, "s": 23, "w": 34, "u": 46, "v": 48, "j": 68, "b": 87}, "is_reverse": false}} | 919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = z + 14; o = g + 18; l = o + 15; w = s + 11; j = v + 20; u = w + 12; e = h + 13; z = 12; v = u + 2; h = l + 11; b = j + 19; s = z + 11; g = c + 15. Given that z = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = z + 11, which gives s = 23.\n2. Compute w using w = s + 11, which gives w = 34.\n3. Compute u using u = w + 12, which gives u = 46.\n4. Compute v using v = u + 2, which gives v = 48.\n5. Compute j using j = v + 20, which gives j = 68.\n6. Compute b using b = j + 19, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 919,
"question": "Suppose a collection of variables is related by the following definitions: c = z + 14; o = g + 18; l = o + 15; w = s + 11; j = v + 20; u = w + 12; e = h + 13; z = 12; v = u + 2; h = l + 11; b = j + 19; s = z + 11; g = c + 15. Given that z = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 12", "p": "b + 9", "o": "p + 7", "n": "o + 4", "u": "n + 17", "k": "u + 20", "i": "r + 5", "a": "i + 12", "g": "a + 7", "f": "g + 6", "q": "f + 13", "v": "q + 10", "r": 14}, "premises": {"r": 14}, "target": "k"}, "answer": {"steps": [["b", "r + 12", 26], ["p", "b + 9", 35], ["o", "p + 7", 42], ["n", "o + 4", 46], ["u", "n + 17", 63], ["k", "u + 20", 83]], "target_var_name": "k", "target_value": 83, "value_dict": {"r": 14, "b": 26, "p": 35, "o": 42, "n": 46, "u": 63, "k": 83}, "is_reverse": false}} | 920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 6; q = f + 13; a = i + 12; u = n + 17; o = p + 7; n = o + 4; k = u + 20; r = 14; b = r + 12; p = b + 9; i = r + 5; v = q + 10; g = a + 7. Given that r = 14, 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. Compute b using b = r + 12, which gives b = 26.\n2. Compute p using p = b + 9, which gives p = 35.\n3. Compute o using o = p + 7, which gives o = 42.\n4. Compute n using n = o + 4, which gives n = 46.\n5. Compute u using u = n + 17, which gives u = 63.\n6. Compute k using k = u + 20, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 920,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 6; q = f + 13; a = i + 12; u = n + 17; o = p + 7; n = o + 4; k = u + 20; r = 14; b = r + 12; p = b + 9; i = r + 5; v = q + 10; g = a + 7. Given that r = 14, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 13", "j": "w + 8", "c": "j + 4", "m": "c + 13", "u": "m + 18", "x": "u + 15", "o": "i + 5", "t": "o + 3", "r": "t + 16", "z": "r + 12", "y": "z + 11", "b": "y + 7", "i": 10}, "premises": {"i": 10}, "target": "x"}, "answer": {"steps": [["w", "i + 13", 23], ["j", "w + 8", 31], ["c", "j + 4", 35], ["m", "c + 13", 48], ["u", "m + 18", 66], ["x", "u + 15", 81]], "target_var_name": "x", "target_value": 81, "value_dict": {"i": 10, "w": 23, "j": 31, "c": 35, "m": 48, "u": 66, "x": 81}, "is_reverse": false}} | 921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 15; w = i + 13; r = t + 16; m = c + 13; z = r + 12; j = w + 8; u = m + 18; t = o + 3; i = 10; o = i + 5; y = z + 11; b = y + 7; c = j + 4. Given that i = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = i + 13, which gives w = 23.\n2. Compute j using j = w + 8, which gives j = 31.\n3. Compute c using c = j + 4, which gives c = 35.\n4. Compute m using m = c + 13, which gives m = 48.\n5. Compute u using u = m + 18, which gives u = 66.\n6. Compute x using x = u + 15, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 921,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 15; w = i + 13; r = t + 16; m = c + 13; z = r + 12; j = w + 8; u = m + 18; t = o + 3; i = 10; o = i + 5; y = z + 11; b = y + 7; c = j + 4. Given that i = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 17", "l": "n + 13", "e": "l + 5", "v": "e + 14", "d": "v + 12", "y": "d + 11", "f": "z + 6", "b": "f + 12", "g": "b + 18", "k": "g + 15", "c": "k + 7", "j": "c + 14", "z": 8}, "premises": {"z": 8}, "target": "y"}, "answer": {"steps": [["n", "z + 17", 25], ["l", "n + 13", 38], ["e", "l + 5", 43], ["v", "e + 14", 57], ["d", "v + 12", 69], ["y", "d + 11", 80]], "target_var_name": "y", "target_value": 80, "value_dict": {"z": 8, "n": 25, "l": 38, "e": 43, "v": 57, "d": 69, "y": 80}, "is_reverse": false}} | 922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 15; z = 8; d = v + 12; n = z + 17; b = f + 12; f = z + 6; y = d + 11; e = l + 5; c = k + 7; j = c + 14; g = b + 18; v = e + 14; l = n + 13. If z = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = z + 17, which gives n = 25.\n2. Compute l using l = n + 13, which gives l = 38.\n3. Compute e using e = l + 5, which gives e = 43.\n4. Compute v using v = e + 14, which gives v = 57.\n5. Compute d using d = v + 12, which gives d = 69.\n6. Compute y using y = d + 11, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 922,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 15; z = 8; d = v + 12; n = z + 17; b = f + 12; f = z + 6; y = d + 11; e = l + 5; c = k + 7; j = c + 14; g = b + 18; v = e + 14; l = n + 13. If z = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 3", "x": "m + 16", "y": "x + 5", "n": "y + 11", "h": "n + 1", "c": "h + 14", "e": "r + 14", "w": "e + 5", "l": "w + 13", "q": "l + 3", "t": "q + 14", "z": "t + 3", "r": 3}, "premises": {"r": 3}, "target": "c"}, "answer": {"steps": [["m", "r + 3", 6], ["x", "m + 16", 22], ["y", "x + 5", 27], ["n", "y + 11", 38], ["h", "n + 1", 39], ["c", "h + 14", 53]], "target_var_name": "c", "target_value": 53, "value_dict": {"r": 3, "m": 6, "x": 22, "y": 27, "n": 38, "h": 39, "c": 53}, "is_reverse": false}} | 923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 11; e = r + 14; r = 3; q = l + 3; h = n + 1; w = e + 5; m = r + 3; y = x + 5; t = q + 14; c = h + 14; z = t + 3; l = w + 13; x = m + 16. Given that r = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = r + 3, which gives m = 6.\n2. Compute x using x = m + 16, which gives x = 22.\n3. Compute y using y = x + 5, which gives y = 27.\n4. Compute n using n = y + 11, which gives n = 38.\n5. Compute h using h = n + 1, which gives h = 39.\n6. Compute c using c = h + 14, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 923,
"question": "Suppose a collection of variables is related by the following definitions: n = y + 11; e = r + 14; r = 3; q = l + 3; h = n + 1; w = e + 5; m = r + 3; y = x + 5; t = q + 14; c = h + 14; z = t + 3; l = w + 13; x = m + 16. Given that r = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 10", "b": "s + 6", "m": "b + 7", "u": "m + 18", "v": "u + 14", "l": "v + 12", "i": "q + 5", "d": "i + 16", "f": "d + 6", "w": "f + 5", "c": "w + 3", "n": "c + 11", "q": 10}, "premises": {"q": 10}, "target": "l"}, "answer": {"steps": [["s", "q + 10", 20], ["b", "s + 6", 26], ["m", "b + 7", 33], ["u", "m + 18", 51], ["v", "u + 14", 65], ["l", "v + 12", 77]], "target_var_name": "l", "target_value": 77, "value_dict": {"q": 10, "s": 20, "b": 26, "m": 33, "u": 51, "v": 65, "l": 77}, "is_reverse": false}} | 924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 10; q = 10; d = i + 16; b = s + 6; l = v + 12; v = u + 14; u = m + 18; i = q + 5; w = f + 5; n = c + 11; m = b + 7; c = w + 3; f = d + 6. Given that q = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = q + 10, which gives s = 20.\n2. Compute b using b = s + 6, which gives b = 26.\n3. Compute m using m = b + 7, which gives m = 33.\n4. Compute u using u = m + 18, which gives u = 51.\n5. Compute v using v = u + 14, which gives v = 65.\n6. Compute l using l = v + 12, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 924,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 10; q = 10; d = i + 16; b = s + 6; l = v + 12; v = u + 14; u = m + 18; i = q + 5; w = f + 5; n = c + 11; m = b + 7; c = w + 3; f = d + 6. Given that q = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 2", "r": "s + 14", "d": "r + 14", "b": "d + 4", "y": "b + 11", "j": "y + 12", "w": "x + 9", "a": "w + 17", "m": "a + 20", "g": "m + 6", "p": "g + 10", "i": "p + 20", "x": 4}, "premises": {"x": 4}, "target": "j"}, "answer": {"steps": [["s", "x + 2", 6], ["r", "s + 14", 20], ["d", "r + 14", 34], ["b", "d + 4", 38], ["y", "b + 11", 49], ["j", "y + 12", 61]], "target_var_name": "j", "target_value": 61, "value_dict": {"x": 4, "s": 6, "r": 20, "d": 34, "b": 38, "y": 49, "j": 61}, "is_reverse": false}} | 925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 2; a = w + 17; j = y + 12; i = p + 20; b = d + 4; r = s + 14; d = r + 14; x = 4; p = g + 10; w = x + 9; m = a + 20; g = m + 6; y = b + 11. If x = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = x + 2, which gives s = 6.\n2. Compute r using r = s + 14, which gives r = 20.\n3. Compute d using d = r + 14, which gives d = 34.\n4. Compute b using b = d + 4, which gives b = 38.\n5. Compute y using y = b + 11, which gives y = 49.\n6. Compute j using j = y + 12, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 925,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 2; a = w + 17; j = y + 12; i = p + 20; b = d + 4; r = s + 14; d = r + 14; x = 4; p = g + 10; w = x + 9; m = a + 20; g = m + 6; y = b + 11. If x = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 19", "v": "t + 9", "j": "v + 15", "u": "j + 4", "p": "u + 2", "i": "p + 4", "r": "l + 18", "w": "r + 11", "s": "w + 13", "g": "s + 12", "z": "g + 1", "f": "z + 17", "l": 8}, "premises": {"l": 8}, "target": "i"}, "answer": {"steps": [["t", "l + 19", 27], ["v", "t + 9", 36], ["j", "v + 15", 51], ["u", "j + 4", 55], ["p", "u + 2", 57], ["i", "p + 4", 61]], "target_var_name": "i", "target_value": 61, "value_dict": {"l": 8, "t": 27, "v": 36, "j": 51, "u": 55, "p": 57, "i": 61}, "is_reverse": false}} | 926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = p + 4; f = z + 17; l = 8; r = l + 18; z = g + 1; g = s + 12; v = t + 9; w = r + 11; j = v + 15; u = j + 4; t = l + 19; p = u + 2; s = w + 13. Given that l = 8, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = l + 19, which gives t = 27.\n2. Compute v using v = t + 9, which gives v = 36.\n3. Compute j using j = v + 15, which gives j = 51.\n4. Compute u using u = j + 4, which gives u = 55.\n5. Compute p using p = u + 2, which gives p = 57.\n6. Compute i using i = p + 4, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 926,
"question": "Suppose a collection of variables is related by the following definitions: i = p + 4; f = z + 17; l = 8; r = l + 18; z = g + 1; g = s + 12; v = t + 9; w = r + 11; j = v + 15; u = j + 4; t = l + 19; p = u + 2; s = w + 13. Given that l = 8, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 7", "y": "d + 5", "i": "y + 11", "g": "i + 11", "m": "g + 11", "b": "m + 11", "t": "h + 16", "o": "t + 10", "p": "o + 13", "x": "p + 16", "f": "x + 16", "c": "f + 4", "h": 4}, "premises": {"h": 4}, "target": "b"}, "answer": {"steps": [["d", "h + 7", 11], ["y", "d + 5", 16], ["i", "y + 11", 27], ["g", "i + 11", 38], ["m", "g + 11", 49], ["b", "m + 11", 60]], "target_var_name": "b", "target_value": 60, "value_dict": {"h": 4, "d": 11, "y": 16, "i": 27, "g": 38, "m": 49, "b": 60}, "is_reverse": false}} | 927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 11; i = y + 11; f = x + 16; p = o + 13; y = d + 5; o = t + 10; x = p + 16; b = m + 11; d = h + 7; t = h + 16; c = f + 4; m = g + 11; h = 4. Given that h = 4, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = h + 7, which gives d = 11.\n2. Compute y using y = d + 5, which gives y = 16.\n3. Compute i using i = y + 11, which gives i = 27.\n4. Compute g using g = i + 11, which gives g = 38.\n5. Compute m using m = g + 11, which gives m = 49.\n6. Compute b using b = m + 11, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 927,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 11; i = y + 11; f = x + 16; p = o + 13; y = d + 5; o = t + 10; x = p + 16; b = m + 11; d = h + 7; t = h + 16; c = f + 4; m = g + 11; h = 4. Given that h = 4, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 10", "x": "m + 20", "s": "x + 13", "c": "s + 9", "l": "c + 18", "u": "l + 7", "w": "v + 17", "b": "w + 17", "q": "b + 17", "o": "q + 12", "y": "o + 19", "p": "y + 11", "v": 16}, "premises": {"v": 16}, "target": "u"}, "answer": {"steps": [["m", "v + 10", 26], ["x", "m + 20", 46], ["s", "x + 13", 59], ["c", "s + 9", 68], ["l", "c + 18", 86], ["u", "l + 7", 93]], "target_var_name": "u", "target_value": 93, "value_dict": {"v": 16, "m": 26, "x": 46, "s": 59, "c": 68, "l": 86, "u": 93}, "is_reverse": false}} | 928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 18; o = q + 12; w = v + 17; p = y + 11; b = w + 17; u = l + 7; x = m + 20; q = b + 17; c = s + 9; m = v + 10; y = o + 19; v = 16; s = x + 13. If v = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = v + 10, which gives m = 26.\n2. Compute x using x = m + 20, which gives x = 46.\n3. Compute s using s = x + 13, which gives s = 59.\n4. Compute c using c = s + 9, which gives c = 68.\n5. Compute l using l = c + 18, which gives l = 86.\n6. Compute u using u = l + 7, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 928,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 18; o = q + 12; w = v + 17; p = y + 11; b = w + 17; u = l + 7; x = m + 20; q = b + 17; c = s + 9; m = v + 10; y = o + 19; v = 16; s = x + 13. If v = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 18", "r": "b + 17", "x": "r + 3", "a": "x + 5", "d": "a + 20", "y": "d + 5", "j": "c + 4", "k": "j + 4", "l": "k + 12", "e": "l + 18", "p": "e + 18", "s": "p + 20", "c": 12}, "premises": {"c": 12}, "target": "y"}, "answer": {"steps": [["b", "c + 18", 30], ["r", "b + 17", 47], ["x", "r + 3", 50], ["a", "x + 5", 55], ["d", "a + 20", 75], ["y", "d + 5", 80]], "target_var_name": "y", "target_value": 80, "value_dict": {"c": 12, "b": 30, "r": 47, "x": 50, "a": 55, "d": 75, "y": 80}, "is_reverse": false}} | 929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 4; e = l + 18; r = b + 17; x = r + 3; s = p + 20; l = k + 12; c = 12; k = j + 4; y = d + 5; d = a + 20; b = c + 18; a = x + 5; p = e + 18. If c = 12, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = c + 18, which gives b = 30.\n2. Compute r using r = b + 17, which gives r = 47.\n3. Compute x using x = r + 3, which gives x = 50.\n4. Compute a using a = x + 5, which gives a = 55.\n5. Compute d using d = a + 20, which gives d = 75.\n6. Compute y using y = d + 5, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 929,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 4; e = l + 18; r = b + 17; x = r + 3; s = p + 20; l = k + 12; c = 12; k = j + 4; y = d + 5; d = a + 20; b = c + 18; a = x + 5; p = e + 18. If c = 12, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 4", "b": "s + 8", "c": "b + 4", "r": "c + 13", "h": "r + 3", "w": "h + 19", "i": "y + 2", "l": "i + 16", "x": "l + 11", "n": "x + 16", "g": "n + 6", "o": "g + 14", "y": 1}, "premises": {"y": 1}, "target": "w"}, "answer": {"steps": [["s", "y + 4", 5], ["b", "s + 8", 13], ["c", "b + 4", 17], ["r", "c + 13", 30], ["h", "r + 3", 33], ["w", "h + 19", 52]], "target_var_name": "w", "target_value": 52, "value_dict": {"y": 1, "s": 5, "b": 13, "c": 17, "r": 30, "h": 33, "w": 52}, "is_reverse": false}} | 930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 1; w = h + 19; s = y + 4; o = g + 14; x = l + 11; r = c + 13; l = i + 16; i = y + 2; b = s + 8; g = n + 6; c = b + 4; h = r + 3; n = x + 16. Given that y = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = y + 4, which gives s = 5.\n2. Compute b using b = s + 8, which gives b = 13.\n3. Compute c using c = b + 4, which gives c = 17.\n4. Compute r using r = c + 13, which gives r = 30.\n5. Compute h using h = r + 3, which gives h = 33.\n6. Compute w using w = h + 19, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 930,
"question": "Suppose a collection of variables is related by the following definitions: y = 1; w = h + 19; s = y + 4; o = g + 14; x = l + 11; r = c + 13; l = i + 16; i = y + 2; b = s + 8; g = n + 6; c = b + 4; h = r + 3; n = x + 16. Given that y = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 12", "f": "c + 20", "e": "f + 13", "z": "e + 11", "o": "z + 18", "k": "o + 9", "y": "v + 9", "x": "y + 18", "q": "x + 10", "r": "q + 1", "p": "r + 1", "m": "p + 18", "v": 14}, "premises": {"v": 14}, "target": "k"}, "answer": {"steps": [["c", "v + 12", 26], ["f", "c + 20", 46], ["e", "f + 13", 59], ["z", "e + 11", 70], ["o", "z + 18", 88], ["k", "o + 9", 97]], "target_var_name": "k", "target_value": 97, "value_dict": {"v": 14, "c": 26, "f": 46, "e": 59, "z": 70, "o": 88, "k": 97}, "is_reverse": false}} | 931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 12; q = x + 10; f = c + 20; x = y + 18; p = r + 1; o = z + 18; v = 14; z = e + 11; y = v + 9; m = p + 18; e = f + 13; k = o + 9; r = q + 1. If v = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = v + 12, which gives c = 26.\n2. Compute f using f = c + 20, which gives f = 46.\n3. Compute e using e = f + 13, which gives e = 59.\n4. Compute z using z = e + 11, which gives z = 70.\n5. Compute o using o = z + 18, which gives o = 88.\n6. Compute k using k = o + 9, which gives k = 97.\n\nThus, the final answer is k = \\boxed{97}.",
"index": 931,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 12; q = x + 10; f = c + 20; x = y + 18; p = r + 1; o = z + 18; v = 14; z = e + 11; y = v + 9; m = p + 18; e = f + 13; k = o + 9; r = q + 1. If v = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 9", "b": "l + 5", "r": "b + 8", "q": "r + 14", "j": "q + 13", "e": "j + 2", "i": "p + 20", "o": "i + 14", "n": "o + 6", "a": "n + 16", "s": "a + 18", "u": "s + 13", "p": 10}, "premises": {"p": 10}, "target": "e"}, "answer": {"steps": [["l", "p + 9", 19], ["b", "l + 5", 24], ["r", "b + 8", 32], ["q", "r + 14", 46], ["j", "q + 13", 59], ["e", "j + 2", 61]], "target_var_name": "e", "target_value": 61, "value_dict": {"p": 10, "l": 19, "b": 24, "r": 32, "q": 46, "j": 59, "e": 61}, "is_reverse": false}} | 932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = b + 8; o = i + 14; l = p + 9; s = a + 18; a = n + 16; n = o + 6; p = 10; j = q + 13; i = p + 20; b = l + 5; q = r + 14; e = j + 2; u = s + 13. If p = 10, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = p + 9, which gives l = 19.\n2. Compute b using b = l + 5, which gives b = 24.\n3. Compute r using r = b + 8, which gives r = 32.\n4. Compute q using q = r + 14, which gives q = 46.\n5. Compute j using j = q + 13, which gives j = 59.\n6. Compute e using e = j + 2, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 932,
"question": "Consider a system of variables where each variable is defined as follows: r = b + 8; o = i + 14; l = p + 9; s = a + 18; a = n + 16; n = o + 6; p = 10; j = q + 13; i = p + 20; b = l + 5; q = r + 14; e = j + 2; u = s + 13. If p = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 19", "d": "k + 18", "u": "d + 2", "z": "u + 3", "j": "z + 2", "b": "j + 3", "t": "m + 14", "r": "t + 2", "v": "r + 12", "i": "v + 19", "l": "i + 4", "w": "l + 15", "m": 11}, "premises": {"m": 11}, "target": "b"}, "answer": {"steps": [["k", "m + 19", 30], ["d", "k + 18", 48], ["u", "d + 2", 50], ["z", "u + 3", 53], ["j", "z + 2", 55], ["b", "j + 3", 58]], "target_var_name": "b", "target_value": 58, "value_dict": {"m": 11, "k": 30, "d": 48, "u": 50, "z": 53, "j": 55, "b": 58}, "is_reverse": false}} | 933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 15; j = z + 2; z = u + 3; v = r + 12; d = k + 18; b = j + 3; k = m + 19; t = m + 14; u = d + 2; l = i + 4; r = t + 2; i = v + 19; m = 11. Given that m = 11, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = m + 19, which gives k = 30.\n2. Compute d using d = k + 18, which gives d = 48.\n3. Compute u using u = d + 2, which gives u = 50.\n4. Compute z using z = u + 3, which gives z = 53.\n5. Compute j using j = z + 2, which gives j = 55.\n6. Compute b using b = j + 3, which gives b = 58.\n\nThus, the final answer is b = \\boxed{58}.",
"index": 933,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 15; j = z + 2; z = u + 3; v = r + 12; d = k + 18; b = j + 3; k = m + 19; t = m + 14; u = d + 2; l = i + 4; r = t + 2; i = v + 19; m = 11. Given that m = 11, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 12", "e": "m + 13", "s": "e + 18", "y": "s + 12", "a": "y + 12", "p": "a + 8", "q": "b + 6", "c": "q + 13", "w": "c + 14", "n": "w + 3", "z": "n + 5", "g": "z + 20", "b": 13}, "premises": {"b": 13}, "target": "p"}, "answer": {"steps": [["m", "b + 12", 25], ["e", "m + 13", 38], ["s", "e + 18", 56], ["y", "s + 12", 68], ["a", "y + 12", 80], ["p", "a + 8", 88]], "target_var_name": "p", "target_value": 88, "value_dict": {"b": 13, "m": 25, "e": 38, "s": 56, "y": 68, "a": 80, "p": 88}, "is_reverse": false}} | 934 | 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 = n + 5; b = 13; q = b + 6; c = q + 13; p = a + 8; e = m + 13; g = z + 20; m = b + 12; n = w + 3; a = y + 12; w = c + 14; y = s + 12; s = e + 18. If b = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = b + 12, which gives m = 25.\n2. Compute e using e = m + 13, which gives e = 38.\n3. Compute s using s = e + 18, which gives s = 56.\n4. Compute y using y = s + 12, which gives y = 68.\n5. Compute a using a = y + 12, which gives a = 80.\n6. Compute p using p = a + 8, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 5; b = 13; q = b + 6; c = q + 13; p = a + 8; e = m + 13; g = z + 20; m = b + 12; n = w + 3; a = y + 12; w = c + 14; y = s + 12; s = e + 18. If b = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 11", "v": "k + 11", "e": "v + 11", "t": "e + 16", "a": "t + 1", "w": "a + 11", "n": "q + 8", "c": "n + 14", "h": "c + 20", "p": "h + 6", "z": "p + 16", "o": "z + 18", "q": 17}, "premises": {"q": 17}, "target": "w"}, "answer": {"steps": [["k", "q + 11", 28], ["v", "k + 11", 39], ["e", "v + 11", 50], ["t", "e + 16", 66], ["a", "t + 1", 67], ["w", "a + 11", 78]], "target_var_name": "w", "target_value": 78, "value_dict": {"q": 17, "k": 28, "v": 39, "e": 50, "t": 66, "a": 67, "w": 78}, "is_reverse": false}} | 935 | 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 = q + 11; q = 17; e = v + 11; v = k + 11; a = t + 1; z = p + 16; c = n + 14; p = h + 6; n = q + 8; t = e + 16; h = c + 20; w = a + 11; o = z + 18. If q = 17, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = q + 11, which gives k = 28.\n2. Compute v using v = k + 11, which gives v = 39.\n3. Compute e using e = v + 11, which gives e = 50.\n4. Compute t using t = e + 16, which gives t = 66.\n5. Compute a using a = t + 1, which gives a = 67.\n6. Compute w using w = a + 11, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 11; q = 17; e = v + 11; v = k + 11; a = t + 1; z = p + 16; c = n + 14; p = h + 6; n = q + 8; t = e + 16; h = c + 20; w = a + 11; o = z + 18. If q = 17, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 16", "p": "o + 9", "u": "p + 13", "z": "u + 20", "e": "z + 5", "i": "e + 12", "y": "n + 9", "m": "y + 11", "v": "m + 16", "l": "v + 9", "k": "l + 15", "c": "k + 5", "n": 19}, "premises": {"n": 19}, "target": "i"}, "answer": {"steps": [["o", "n + 16", 35], ["p", "o + 9", 44], ["u", "p + 13", 57], ["z", "u + 20", 77], ["e", "z + 5", 82], ["i", "e + 12", 94]], "target_var_name": "i", "target_value": 94, "value_dict": {"n": 19, "o": 35, "p": 44, "u": 57, "z": 77, "e": 82, "i": 94}, "is_reverse": false}} | 936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = u + 20; k = l + 15; c = k + 5; m = y + 11; e = z + 5; i = e + 12; n = 19; l = v + 9; y = n + 9; o = n + 16; u = p + 13; p = o + 9; v = m + 16. Given that n = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = n + 16, which gives o = 35.\n2. Compute p using p = o + 9, which gives p = 44.\n3. Compute u using u = p + 13, which gives u = 57.\n4. Compute z using z = u + 20, which gives z = 77.\n5. Compute e using e = z + 5, which gives e = 82.\n6. Compute i using i = e + 12, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 936,
"question": "Suppose a collection of variables is related by the following definitions: z = u + 20; k = l + 15; c = k + 5; m = y + 11; e = z + 5; i = e + 12; n = 19; l = v + 9; y = n + 9; o = n + 16; u = p + 13; p = o + 9; v = m + 16. Given that n = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 6", "q": "n + 6", "x": "q + 13", "l": "x + 15", "z": "l + 16", "j": "z + 12", "v": "u + 5", "h": "v + 10", "a": "h + 15", "f": "a + 3", "s": "f + 2", "p": "s + 18", "u": 19}, "premises": {"u": 19}, "target": "j"}, "answer": {"steps": [["n", "u + 6", 25], ["q", "n + 6", 31], ["x", "q + 13", 44], ["l", "x + 15", 59], ["z", "l + 16", 75], ["j", "z + 12", 87]], "target_var_name": "j", "target_value": 87, "value_dict": {"u": 19, "n": 25, "q": 31, "x": 44, "l": 59, "z": 75, "j": 87}, "is_reverse": false}} | 937 | 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 = 19; s = f + 2; a = h + 15; j = z + 12; q = n + 6; v = u + 5; x = q + 13; l = x + 15; n = u + 6; p = s + 18; f = a + 3; z = l + 16; h = v + 10. If u = 19, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = u + 6, which gives n = 25.\n2. Compute q using q = n + 6, which gives q = 31.\n3. Compute x using x = q + 13, which gives x = 44.\n4. Compute l using l = x + 15, which gives l = 59.\n5. Compute z using z = l + 16, which gives z = 75.\n6. Compute j using j = z + 12, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 19; s = f + 2; a = h + 15; j = z + 12; q = n + 6; v = u + 5; x = q + 13; l = x + 15; n = u + 6; p = s + 18; f = a + 3; z = l + 16; h = v + 10. If u = 19, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 9", "s": "r + 8", "h": "s + 18", "l": "h + 1", "c": "l + 19", "v": "c + 7", "g": "n + 11", "i": "g + 19", "u": "i + 20", "o": "u + 3", "k": "o + 14", "b": "k + 13", "n": 6}, "premises": {"n": 6}, "target": "v"}, "answer": {"steps": [["r", "n + 9", 15], ["s", "r + 8", 23], ["h", "s + 18", 41], ["l", "h + 1", 42], ["c", "l + 19", 61], ["v", "c + 7", 68]], "target_var_name": "v", "target_value": 68, "value_dict": {"n": 6, "r": 15, "s": 23, "h": 41, "l": 42, "c": 61, "v": 68}, "is_reverse": false}} | 938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 19; l = h + 1; k = o + 14; g = n + 11; v = c + 7; c = l + 19; s = r + 8; b = k + 13; r = n + 9; h = s + 18; n = 6; o = u + 3; u = i + 20. Given that n = 6, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = n + 9, which gives r = 15.\n2. Compute s using s = r + 8, which gives s = 23.\n3. Compute h using h = s + 18, which gives h = 41.\n4. Compute l using l = h + 1, which gives l = 42.\n5. Compute c using c = l + 19, which gives c = 61.\n6. Compute v using v = c + 7, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 938,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 19; l = h + 1; k = o + 14; g = n + 11; v = c + 7; c = l + 19; s = r + 8; b = k + 13; r = n + 9; h = s + 18; n = 6; o = u + 3; u = i + 20. Given that n = 6, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 6", "q": "m + 8", "n": "q + 8", "g": "n + 13", "h": "g + 12", "t": "h + 11", "y": "u + 9", "j": "y + 4", "v": "j + 15", "p": "v + 4", "k": "p + 4", "z": "k + 1", "u": 12}, "premises": {"u": 12}, "target": "t"}, "answer": {"steps": [["m", "u + 6", 18], ["q", "m + 8", 26], ["n", "q + 8", 34], ["g", "n + 13", 47], ["h", "g + 12", 59], ["t", "h + 11", 70]], "target_var_name": "t", "target_value": 70, "value_dict": {"u": 12, "m": 18, "q": 26, "n": 34, "g": 47, "h": 59, "t": 70}, "is_reverse": false}} | 939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 11; y = u + 9; m = u + 6; n = q + 8; h = g + 12; u = 12; j = y + 4; p = v + 4; g = n + 13; v = j + 15; k = p + 4; q = m + 8; z = k + 1. If u = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = u + 6, which gives m = 18.\n2. Compute q using q = m + 8, which gives q = 26.\n3. Compute n using n = q + 8, which gives n = 34.\n4. Compute g using g = n + 13, which gives g = 47.\n5. Compute h using h = g + 12, which gives h = 59.\n6. Compute t using t = h + 11, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 939,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 11; y = u + 9; m = u + 6; n = q + 8; h = g + 12; u = 12; j = y + 4; p = v + 4; g = n + 13; v = j + 15; k = p + 4; q = m + 8; z = k + 1. If u = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 8", "m": "c + 3", "a": "m + 6", "b": "a + 9", "e": "b + 17", "t": "e + 4", "g": "w + 19", "o": "g + 11", "n": "o + 8", "v": "n + 20", "f": "v + 18", "i": "f + 12", "w": 6}, "premises": {"w": 6}, "target": "t"}, "answer": {"steps": [["c", "w + 8", 14], ["m", "c + 3", 17], ["a", "m + 6", 23], ["b", "a + 9", 32], ["e", "b + 17", 49], ["t", "e + 4", 53]], "target_var_name": "t", "target_value": 53, "value_dict": {"w": 6, "c": 14, "m": 17, "a": 23, "b": 32, "e": 49, "t": 53}, "is_reverse": false}} | 940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 9; a = m + 6; c = w + 8; i = f + 12; o = g + 11; e = b + 17; f = v + 18; g = w + 19; n = o + 8; t = e + 4; v = n + 20; m = c + 3; w = 6. Given that w = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = w + 8, which gives c = 14.\n2. Compute m using m = c + 3, which gives m = 17.\n3. Compute a using a = m + 6, which gives a = 23.\n4. Compute b using b = a + 9, which gives b = 32.\n5. Compute e using e = b + 17, which gives e = 49.\n6. Compute t using t = e + 4, which gives t = 53.\n\nThus, the final answer is t = \\boxed{53}.",
"index": 940,
"question": "Suppose a collection of variables is related by the following definitions: b = a + 9; a = m + 6; c = w + 8; i = f + 12; o = g + 11; e = b + 17; f = v + 18; g = w + 19; n = o + 8; t = e + 4; v = n + 20; m = c + 3; w = 6. Given that w = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 5", "j": "f + 1", "k": "j + 14", "b": "k + 10", "y": "b + 14", "m": "y + 20", "v": "g + 1", "a": "v + 15", "q": "a + 2", "u": "q + 17", "n": "u + 16", "l": "n + 5", "g": 20}, "premises": {"g": 20}, "target": "m"}, "answer": {"steps": [["f", "g + 5", 25], ["j", "f + 1", 26], ["k", "j + 14", 40], ["b", "k + 10", 50], ["y", "b + 14", 64], ["m", "y + 20", 84]], "target_var_name": "m", "target_value": 84, "value_dict": {"g": 20, "f": 25, "j": 26, "k": 40, "b": 50, "y": 64, "m": 84}, "is_reverse": false}} | 941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 5; m = y + 20; g = 20; v = g + 1; n = u + 16; y = b + 14; j = f + 1; b = k + 10; a = v + 15; l = n + 5; u = q + 17; q = a + 2; k = j + 14. If g = 20, determine the 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. Compute f using f = g + 5, which gives f = 25.\n2. Compute j using j = f + 1, which gives j = 26.\n3. Compute k using k = j + 14, which gives k = 40.\n4. Compute b using b = k + 10, which gives b = 50.\n5. Compute y using y = b + 14, which gives y = 64.\n6. Compute m using m = y + 20, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 941,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 5; m = y + 20; g = 20; v = g + 1; n = u + 16; y = b + 14; j = f + 1; b = k + 10; a = v + 15; l = n + 5; u = q + 17; q = a + 2; k = j + 14. If g = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 19", "x": "c + 12", "q": "x + 19", "y": "q + 3", "e": "y + 20", "h": "e + 17", "u": "z + 1", "g": "u + 3", "r": "g + 14", "j": "r + 13", "i": "j + 2", "w": "i + 8", "z": 14}, "premises": {"z": 14}, "target": "h"}, "answer": {"steps": [["c", "z + 19", 33], ["x", "c + 12", 45], ["q", "x + 19", 64], ["y", "q + 3", 67], ["e", "y + 20", 87], ["h", "e + 17", 104]], "target_var_name": "h", "target_value": 104, "value_dict": {"z": 14, "c": 33, "x": 45, "q": 64, "y": 67, "e": 87, "h": 104}, "is_reverse": false}} | 942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 20; j = r + 13; x = c + 12; y = q + 3; u = z + 1; i = j + 2; z = 14; r = g + 14; c = z + 19; w = i + 8; h = e + 17; q = x + 19; g = u + 3. If z = 14, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = z + 19, which gives c = 33.\n2. Compute x using x = c + 12, which gives x = 45.\n3. Compute q using q = x + 19, which gives q = 64.\n4. Compute y using y = q + 3, which gives y = 67.\n5. Compute e using e = y + 20, which gives e = 87.\n6. Compute h using h = e + 17, which gives h = 104.\n\nThus, the final answer is h = \\boxed{104}.",
"index": 942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 20; j = r + 13; x = c + 12; y = q + 3; u = z + 1; i = j + 2; z = 14; r = g + 14; c = z + 19; w = i + 8; h = e + 17; q = x + 19; g = u + 3. If z = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 9", "p": "n + 1", "d": "p + 17", "b": "d + 8", "s": "b + 7", "y": "s + 4", "l": "a + 9", "x": "l + 17", "o": "x + 4", "z": "o + 9", "i": "z + 10", "g": "i + 4", "a": 15}, "premises": {"a": 15}, "target": "y"}, "answer": {"steps": [["n", "a + 9", 24], ["p", "n + 1", 25], ["d", "p + 17", 42], ["b", "d + 8", 50], ["s", "b + 7", 57], ["y", "s + 4", 61]], "target_var_name": "y", "target_value": 61, "value_dict": {"a": 15, "n": 24, "p": 25, "d": 42, "b": 50, "s": 57, "y": 61}, "is_reverse": false}} | 943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 4; l = a + 9; n = a + 9; s = b + 7; p = n + 1; a = 15; i = z + 10; b = d + 8; o = x + 4; d = p + 17; y = s + 4; z = o + 9; x = l + 17. If a = 15, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = a + 9, which gives n = 24.\n2. Compute p using p = n + 1, which gives p = 25.\n3. Compute d using d = p + 17, which gives d = 42.\n4. Compute b using b = d + 8, which gives b = 50.\n5. Compute s using s = b + 7, which gives s = 57.\n6. Compute y using y = s + 4, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 943,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 4; l = a + 9; n = a + 9; s = b + 7; p = n + 1; a = 15; i = z + 10; b = d + 8; o = x + 4; d = p + 17; y = s + 4; z = o + 9; x = l + 17. If a = 15, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 19", "z": "k + 16", "b": "z + 1", "w": "b + 6", "t": "w + 1", "j": "t + 3", "r": "d + 16", "m": "r + 7", "v": "m + 10", "i": "v + 2", "g": "i + 12", "q": "g + 3", "d": 20}, "premises": {"d": 20}, "target": "j"}, "answer": {"steps": [["k", "d + 19", 39], ["z", "k + 16", 55], ["b", "z + 1", 56], ["w", "b + 6", 62], ["t", "w + 1", 63], ["j", "t + 3", 66]], "target_var_name": "j", "target_value": 66, "value_dict": {"d": 20, "k": 39, "z": 55, "b": 56, "w": 62, "t": 63, "j": 66}, "is_reverse": false}} | 944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 7; w = b + 6; b = z + 1; r = d + 16; v = m + 10; k = d + 19; d = 20; g = i + 12; j = t + 3; t = w + 1; z = k + 16; i = v + 2; q = g + 3. If d = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = d + 19, which gives k = 39.\n2. Compute z using z = k + 16, which gives z = 55.\n3. Compute b using b = z + 1, which gives b = 56.\n4. Compute w using w = b + 6, which gives w = 62.\n5. Compute t using t = w + 1, which gives t = 63.\n6. Compute j using j = t + 3, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 944,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 7; w = b + 6; b = z + 1; r = d + 16; v = m + 10; k = d + 19; d = 20; g = i + 12; j = t + 3; t = w + 1; z = k + 16; i = v + 2; q = g + 3. If d = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 11", "q": "z + 15", "b": "q + 19", "y": "b + 4", "v": "y + 19", "i": "v + 5", "j": "w + 10", "e": "j + 16", "x": "e + 1", "n": "x + 15", "m": "n + 12", "s": "m + 14", "w": 13}, "premises": {"w": 13}, "target": "i"}, "answer": {"steps": [["z", "w + 11", 24], ["q", "z + 15", 39], ["b", "q + 19", 58], ["y", "b + 4", 62], ["v", "y + 19", 81], ["i", "v + 5", 86]], "target_var_name": "i", "target_value": 86, "value_dict": {"w": 13, "z": 24, "q": 39, "b": 58, "y": 62, "v": 81, "i": 86}, "is_reverse": false}} | 945 | 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 = e + 1; m = n + 12; j = w + 10; b = q + 19; n = x + 15; v = y + 19; y = b + 4; s = m + 14; e = j + 16; q = z + 15; i = v + 5; w = 13; z = w + 11. If w = 13, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = w + 11, which gives z = 24.\n2. Compute q using q = z + 15, which gives q = 39.\n3. Compute b using b = q + 19, which gives b = 58.\n4. Compute y using y = b + 4, which gives y = 62.\n5. Compute v using v = y + 19, which gives v = 81.\n6. Compute i using i = v + 5, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 1; m = n + 12; j = w + 10; b = q + 19; n = x + 15; v = y + 19; y = b + 4; s = m + 14; e = j + 16; q = z + 15; i = v + 5; w = 13; z = w + 11. If w = 13, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 7", "b": "n + 20", "x": "b + 4", "a": "x + 20", "h": "a + 15", "m": "h + 7", "w": "d + 11", "r": "w + 2", "v": "r + 7", "y": "v + 8", "l": "y + 6", "s": "l + 11", "d": 12}, "premises": {"d": 12}, "target": "m"}, "answer": {"steps": [["n", "d + 7", 19], ["b", "n + 20", 39], ["x", "b + 4", 43], ["a", "x + 20", 63], ["h", "a + 15", 78], ["m", "h + 7", 85]], "target_var_name": "m", "target_value": 85, "value_dict": {"d": 12, "n": 19, "b": 39, "x": 43, "a": 63, "h": 78, "m": 85}, "is_reverse": false}} | 946 | 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 + 7; y = v + 8; v = r + 7; b = n + 20; m = h + 7; a = x + 20; x = b + 4; h = a + 15; r = w + 2; d = 12; w = d + 11; l = y + 6; s = l + 11. If d = 12, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = d + 7, which gives n = 19.\n2. Compute b using b = n + 20, which gives b = 39.\n3. Compute x using x = b + 4, which gives x = 43.\n4. Compute a using a = x + 20, which gives a = 63.\n5. Compute h using h = a + 15, which gives h = 78.\n6. Compute m using m = h + 7, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 946,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 7; y = v + 8; v = r + 7; b = n + 20; m = h + 7; a = x + 20; x = b + 4; h = a + 15; r = w + 2; d = 12; w = d + 11; l = y + 6; s = l + 11. If d = 12, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 9", "y": "v + 19", "e": "y + 1", "u": "e + 17", "d": "u + 9", "a": "d + 4", "w": "m + 17", "n": "w + 10", "c": "n + 14", "x": "c + 19", "l": "x + 16", "h": "l + 14", "m": 18}, "premises": {"m": 18}, "target": "a"}, "answer": {"steps": [["v", "m + 9", 27], ["y", "v + 19", 46], ["e", "y + 1", 47], ["u", "e + 17", 64], ["d", "u + 9", 73], ["a", "d + 4", 77]], "target_var_name": "a", "target_value": 77, "value_dict": {"m": 18, "v": 27, "y": 46, "e": 47, "u": 64, "d": 73, "a": 77}, "is_reverse": false}} | 947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 14; m = 18; v = m + 9; u = e + 17; n = w + 10; a = d + 4; y = v + 19; d = u + 9; h = l + 14; l = x + 16; e = y + 1; w = m + 17; x = c + 19. If m = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = m + 9, which gives v = 27.\n2. Compute y using y = v + 19, which gives y = 46.\n3. Compute e using e = y + 1, which gives e = 47.\n4. Compute u using u = e + 17, which gives u = 64.\n5. Compute d using d = u + 9, which gives d = 73.\n6. Compute a using a = d + 4, which gives a = 77.\n\nThus, the final answer is a = \\boxed{77}.",
"index": 947,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 14; m = 18; v = m + 9; u = e + 17; n = w + 10; a = d + 4; y = v + 19; d = u + 9; h = l + 14; l = x + 16; e = y + 1; w = m + 17; x = c + 19. If m = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 18", "o": "a + 20", "b": "o + 19", "m": "b + 8", "h": "m + 9", "f": "h + 14", "g": "e + 16", "s": "g + 10", "l": "s + 15", "p": "l + 10", "z": "p + 20", "i": "z + 4", "e": 14}, "premises": {"e": 14}, "target": "f"}, "answer": {"steps": [["a", "e + 18", 32], ["o", "a + 20", 52], ["b", "o + 19", 71], ["m", "b + 8", 79], ["h", "m + 9", 88], ["f", "h + 14", 102]], "target_var_name": "f", "target_value": 102, "value_dict": {"e": 14, "a": 32, "o": 52, "b": 71, "m": 79, "h": 88, "f": 102}, "is_reverse": false}} | 948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 4; s = g + 10; p = l + 10; o = a + 20; a = e + 18; g = e + 16; m = b + 8; b = o + 19; e = 14; z = p + 20; l = s + 15; f = h + 14; h = m + 9. Given that e = 14, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = e + 18, which gives a = 32.\n2. Compute o using o = a + 20, which gives o = 52.\n3. Compute b using b = o + 19, which gives b = 71.\n4. Compute m using m = b + 8, which gives m = 79.\n5. Compute h using h = m + 9, which gives h = 88.\n6. Compute f using f = h + 14, which gives f = 102.\n\nThus, the final answer is f = \\boxed{102}.",
"index": 948,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 4; s = g + 10; p = l + 10; o = a + 20; a = e + 18; g = e + 16; m = b + 8; b = o + 19; e = 14; z = p + 20; l = s + 15; f = h + 14; h = m + 9. Given that e = 14, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 16", "g": "e + 6", "y": "g + 14", "c": "y + 9", "l": "c + 19", "h": "l + 11", "f": "i + 1", "j": "f + 19", "w": "j + 4", "x": "w + 5", "m": "x + 20", "u": "m + 10", "i": 2}, "premises": {"i": 2}, "target": "h"}, "answer": {"steps": [["e", "i + 16", 18], ["g", "e + 6", 24], ["y", "g + 14", 38], ["c", "y + 9", 47], ["l", "c + 19", 66], ["h", "l + 11", 77]], "target_var_name": "h", "target_value": 77, "value_dict": {"i": 2, "e": 18, "g": 24, "y": 38, "c": 47, "l": 66, "h": 77}, "is_reverse": false}} | 949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 4; j = f + 19; u = m + 10; y = g + 14; h = l + 11; f = i + 1; i = 2; c = y + 9; x = w + 5; l = c + 19; g = e + 6; m = x + 20; e = i + 16. Given that i = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = i + 16, which gives e = 18.\n2. Compute g using g = e + 6, which gives g = 24.\n3. Compute y using y = g + 14, which gives y = 38.\n4. Compute c using c = y + 9, which gives c = 47.\n5. Compute l using l = c + 19, which gives l = 66.\n6. Compute h using h = l + 11, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 949,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 4; j = f + 19; u = m + 10; y = g + 14; h = l + 11; f = i + 1; i = 2; c = y + 9; x = w + 5; l = c + 19; g = e + 6; m = x + 20; e = i + 16. Given that i = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 13", "l": "o + 13", "e": "l + 6", "i": "e + 10", "b": "i + 6", "s": "b + 9", "w": "c + 16", "a": "w + 18", "d": "a + 2", "t": "d + 14", "m": "t + 16", "x": "m + 10", "c": 4}, "premises": {"c": 4}, "target": "s"}, "answer": {"steps": [["o", "c + 13", 17], ["l", "o + 13", 30], ["e", "l + 6", 36], ["i", "e + 10", 46], ["b", "i + 6", 52], ["s", "b + 9", 61]], "target_var_name": "s", "target_value": 61, "value_dict": {"c": 4, "o": 17, "l": 30, "e": 36, "i": 46, "b": 52, "s": 61}, "is_reverse": false}} | 950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = o + 13; m = t + 16; i = e + 10; x = m + 10; w = c + 16; o = c + 13; s = b + 9; b = i + 6; a = w + 18; e = l + 6; d = a + 2; c = 4; t = d + 14. Given that c = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = c + 13, which gives o = 17.\n2. Compute l using l = o + 13, which gives l = 30.\n3. Compute e using e = l + 6, which gives e = 36.\n4. Compute i using i = e + 10, which gives i = 46.\n5. Compute b using b = i + 6, which gives b = 52.\n6. Compute s using s = b + 9, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 950,
"question": "Suppose a collection of variables is related by the following definitions: l = o + 13; m = t + 16; i = e + 10; x = m + 10; w = c + 16; o = c + 13; s = b + 9; b = i + 6; a = w + 18; e = l + 6; d = a + 2; c = 4; t = d + 14. Given that c = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 6", "r": "o + 9", "g": "r + 14", "w": "g + 2", "p": "w + 12", "a": "p + 7", "d": "q + 9", "b": "d + 2", "u": "b + 10", "x": "u + 13", "f": "x + 20", "s": "f + 11", "q": 18}, "premises": {"q": 18}, "target": "a"}, "answer": {"steps": [["o", "q + 6", 24], ["r", "o + 9", 33], ["g", "r + 14", 47], ["w", "g + 2", 49], ["p", "w + 12", 61], ["a", "p + 7", 68]], "target_var_name": "a", "target_value": 68, "value_dict": {"q": 18, "o": 24, "r": 33, "g": 47, "w": 49, "p": 61, "a": 68}, "is_reverse": false}} | 951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 9; g = r + 14; x = u + 13; b = d + 2; s = f + 11; u = b + 10; p = w + 12; f = x + 20; a = p + 7; q = 18; w = g + 2; o = q + 6; d = q + 9. If q = 18, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = q + 6, which gives o = 24.\n2. Compute r using r = o + 9, which gives r = 33.\n3. Compute g using g = r + 14, which gives g = 47.\n4. Compute w using w = g + 2, which gives w = 49.\n5. Compute p using p = w + 12, which gives p = 61.\n6. Compute a using a = p + 7, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 951,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 9; g = r + 14; x = u + 13; b = d + 2; s = f + 11; u = b + 10; p = w + 12; f = x + 20; a = p + 7; q = 18; w = g + 2; o = q + 6; d = q + 9. If q = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 5", "m": "y + 20", "a": "m + 14", "f": "a + 12", "n": "f + 5", "p": "n + 16", "u": "b + 3", "i": "u + 18", "e": "i + 6", "s": "e + 18", "c": "s + 6", "l": "c + 18", "b": 4}, "premises": {"b": 4}, "target": "p"}, "answer": {"steps": [["y", "b + 5", 9], ["m", "y + 20", 29], ["a", "m + 14", 43], ["f", "a + 12", 55], ["n", "f + 5", 60], ["p", "n + 16", 76]], "target_var_name": "p", "target_value": 76, "value_dict": {"b": 4, "y": 9, "m": 29, "a": 43, "f": 55, "n": 60, "p": 76}, "is_reverse": false}} | 952 | 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 = b + 3; i = u + 18; b = 4; e = i + 6; y = b + 5; s = e + 18; m = y + 20; p = n + 16; c = s + 6; a = m + 14; n = f + 5; f = a + 12; l = c + 18. If b = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = b + 5, which gives y = 9.\n2. Compute m using m = y + 20, which gives m = 29.\n3. Compute a using a = m + 14, which gives a = 43.\n4. Compute f using f = a + 12, which gives f = 55.\n5. Compute n using n = f + 5, which gives n = 60.\n6. Compute p using p = n + 16, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 952,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 3; i = u + 18; b = 4; e = i + 6; y = b + 5; s = e + 18; m = y + 20; p = n + 16; c = s + 6; a = m + 14; n = f + 5; f = a + 12; l = c + 18. If b = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 9", "c": "z + 1", "g": "c + 17", "n": "g + 1", "d": "n + 12", "e": "d + 19", "p": "f + 18", "i": "p + 8", "q": "i + 2", "u": "q + 9", "h": "u + 10", "r": "h + 5", "f": 7}, "premises": {"f": 7}, "target": "e"}, "answer": {"steps": [["z", "f + 9", 16], ["c", "z + 1", 17], ["g", "c + 17", 34], ["n", "g + 1", 35], ["d", "n + 12", 47], ["e", "d + 19", 66]], "target_var_name": "e", "target_value": 66, "value_dict": {"f": 7, "z": 16, "c": 17, "g": 34, "n": 35, "d": 47, "e": 66}, "is_reverse": false}} | 953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 5; h = u + 10; g = c + 17; d = n + 12; u = q + 9; c = z + 1; f = 7; p = f + 18; z = f + 9; e = d + 19; i = p + 8; n = g + 1; q = i + 2. Given that f = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = f + 9, which gives z = 16.\n2. Compute c using c = z + 1, which gives c = 17.\n3. Compute g using g = c + 17, which gives g = 34.\n4. Compute n using n = g + 1, which gives n = 35.\n5. Compute d using d = n + 12, which gives d = 47.\n6. Compute e using e = d + 19, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 953,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 5; h = u + 10; g = c + 17; d = n + 12; u = q + 9; c = z + 1; f = 7; p = f + 18; z = f + 9; e = d + 19; i = p + 8; n = g + 1; q = i + 2. Given that f = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 14", "j": "r + 11", "n": "j + 9", "m": "n + 1", "e": "m + 5", "z": "e + 5", "p": "k + 7", "b": "p + 17", "a": "b + 10", "w": "a + 16", "g": "w + 20", "u": "g + 7", "k": 2}, "premises": {"k": 2}, "target": "z"}, "answer": {"steps": [["r", "k + 14", 16], ["j", "r + 11", 27], ["n", "j + 9", 36], ["m", "n + 1", 37], ["e", "m + 5", 42], ["z", "e + 5", 47]], "target_var_name": "z", "target_value": 47, "value_dict": {"k": 2, "r": 16, "j": 27, "n": 36, "m": 37, "e": 42, "z": 47}, "is_reverse": false}} | 954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = b + 10; r = k + 14; b = p + 17; k = 2; g = w + 20; w = a + 16; m = n + 1; u = g + 7; p = k + 7; j = r + 11; e = m + 5; n = j + 9; z = e + 5. If k = 2, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = k + 14, which gives r = 16.\n2. Compute j using j = r + 11, which gives j = 27.\n3. Compute n using n = j + 9, which gives n = 36.\n4. Compute m using m = n + 1, which gives m = 37.\n5. Compute e using e = m + 5, which gives e = 42.\n6. Compute z using z = e + 5, which gives z = 47.\n\nThus, the final answer is z = \\boxed{47}.",
"index": 954,
"question": "Consider a system of variables where each variable is defined as follows: a = b + 10; r = k + 14; b = p + 17; k = 2; g = w + 20; w = a + 16; m = n + 1; u = g + 7; p = k + 7; j = r + 11; e = m + 5; n = j + 9; z = e + 5. If k = 2, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 1", "c": "q + 12", "k": "c + 2", "g": "k + 16", "h": "g + 4", "a": "h + 9", "l": "n + 4", "t": "l + 11", "v": "t + 5", "d": "v + 5", "x": "d + 5", "p": "x + 8", "n": 8}, "premises": {"n": 8}, "target": "a"}, "answer": {"steps": [["q", "n + 1", 9], ["c", "q + 12", 21], ["k", "c + 2", 23], ["g", "k + 16", 39], ["h", "g + 4", 43], ["a", "h + 9", 52]], "target_var_name": "a", "target_value": 52, "value_dict": {"n": 8, "q": 9, "c": 21, "k": 23, "g": 39, "h": 43, "a": 52}, "is_reverse": false}} | 955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = 8; v = t + 5; a = h + 9; q = n + 1; l = n + 4; t = l + 11; g = k + 16; c = q + 12; p = x + 8; d = v + 5; k = c + 2; x = d + 5; h = g + 4. If n = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = n + 1, which gives q = 9.\n2. Compute c using c = q + 12, which gives c = 21.\n3. Compute k using k = c + 2, which gives k = 23.\n4. Compute g using g = k + 16, which gives g = 39.\n5. Compute h using h = g + 4, which gives h = 43.\n6. Compute a using a = h + 9, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 955,
"question": "Consider a system of variables where each variable is defined as follows: n = 8; v = t + 5; a = h + 9; q = n + 1; l = n + 4; t = l + 11; g = k + 16; c = q + 12; p = x + 8; d = v + 5; k = c + 2; x = d + 5; h = g + 4. If n = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 14", "v": "l + 7", "h": "v + 9", "p": "h + 20", "x": "p + 15", "g": "x + 17", "n": "q + 3", "r": "n + 16", "m": "r + 7", "e": "m + 13", "d": "e + 7", "u": "d + 18", "q": 16}, "premises": {"q": 16}, "target": "g"}, "answer": {"steps": [["l", "q + 14", 30], ["v", "l + 7", 37], ["h", "v + 9", 46], ["p", "h + 20", 66], ["x", "p + 15", 81], ["g", "x + 17", 98]], "target_var_name": "g", "target_value": 98, "value_dict": {"q": 16, "l": 30, "v": 37, "h": 46, "p": 66, "x": 81, "g": 98}, "is_reverse": false}} | 956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 15; v = l + 7; u = d + 18; l = q + 14; m = r + 7; g = x + 17; h = v + 9; q = 16; n = q + 3; d = e + 7; e = m + 13; r = n + 16; p = h + 20. If q = 16, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = q + 14, which gives l = 30.\n2. Compute v using v = l + 7, which gives v = 37.\n3. Compute h using h = v + 9, which gives h = 46.\n4. Compute p using p = h + 20, which gives p = 66.\n5. Compute x using x = p + 15, which gives x = 81.\n6. Compute g using g = x + 17, which gives g = 98.\n\nThus, the final answer is g = \\boxed{98}.",
"index": 956,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 15; v = l + 7; u = d + 18; l = q + 14; m = r + 7; g = x + 17; h = v + 9; q = 16; n = q + 3; d = e + 7; e = m + 13; r = n + 16; p = h + 20. If q = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 8", "k": "w + 6", "r": "k + 2", "j": "r + 3", "b": "j + 2", "o": "b + 5", "m": "v + 16", "z": "m + 16", "n": "z + 3", "x": "n + 13", "y": "x + 17", "e": "y + 16", "v": 16}, "premises": {"v": 16}, "target": "o"}, "answer": {"steps": [["w", "v + 8", 24], ["k", "w + 6", 30], ["r", "k + 2", 32], ["j", "r + 3", 35], ["b", "j + 2", 37], ["o", "b + 5", 42]], "target_var_name": "o", "target_value": 42, "value_dict": {"v": 16, "w": 24, "k": 30, "r": 32, "j": 35, "b": 37, "o": 42}, "is_reverse": false}} | 957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = z + 3; v = 16; e = y + 16; r = k + 2; z = m + 16; m = v + 16; y = x + 17; k = w + 6; b = j + 2; w = v + 8; x = n + 13; o = b + 5; j = r + 3. Given that v = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = v + 8, which gives w = 24.\n2. Compute k using k = w + 6, which gives k = 30.\n3. Compute r using r = k + 2, which gives r = 32.\n4. Compute j using j = r + 3, which gives j = 35.\n5. Compute b using b = j + 2, which gives b = 37.\n6. Compute o using o = b + 5, which gives o = 42.\n\nThus, the final answer is o = \\boxed{42}.",
"index": 957,
"question": "Suppose a collection of variables is related by the following definitions: n = z + 3; v = 16; e = y + 16; r = k + 2; z = m + 16; m = v + 16; y = x + 17; k = w + 6; b = j + 2; w = v + 8; x = n + 13; o = b + 5; j = r + 3. Given that v = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 10", "c": "t + 19", "s": "c + 3", "l": "s + 16", "k": "l + 16", "p": "k + 14", "j": "a + 11", "i": "j + 3", "e": "i + 9", "x": "e + 13", "y": "x + 18", "h": "y + 9", "a": 4}, "premises": {"a": 4}, "target": "p"}, "answer": {"steps": [["t", "a + 10", 14], ["c", "t + 19", 33], ["s", "c + 3", 36], ["l", "s + 16", 52], ["k", "l + 16", 68], ["p", "k + 14", 82]], "target_var_name": "p", "target_value": 82, "value_dict": {"a": 4, "t": 14, "c": 33, "s": 36, "l": 52, "k": 68, "p": 82}, "is_reverse": false}} | 958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 3; y = x + 18; a = 4; l = s + 16; j = a + 11; s = c + 3; p = k + 14; x = e + 13; k = l + 16; e = i + 9; t = a + 10; c = t + 19; h = y + 9. If a = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = a + 10, which gives t = 14.\n2. Compute c using c = t + 19, which gives c = 33.\n3. Compute s using s = c + 3, which gives s = 36.\n4. Compute l using l = s + 16, which gives l = 52.\n5. Compute k using k = l + 16, which gives k = 68.\n6. Compute p using p = k + 14, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 958,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 3; y = x + 18; a = 4; l = s + 16; j = a + 11; s = c + 3; p = k + 14; x = e + 13; k = l + 16; e = i + 9; t = a + 10; c = t + 19; h = y + 9. If a = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 11", "z": "x + 9", "e": "z + 18", "c": "e + 17", "h": "c + 6", "u": "h + 16", "s": "t + 14", "o": "s + 15", "j": "o + 8", "q": "j + 20", "p": "q + 4", "y": "p + 4", "t": 2}, "premises": {"t": 2}, "target": "u"}, "answer": {"steps": [["x", "t + 11", 13], ["z", "x + 9", 22], ["e", "z + 18", 40], ["c", "e + 17", 57], ["h", "c + 6", 63], ["u", "h + 16", 79]], "target_var_name": "u", "target_value": 79, "value_dict": {"t": 2, "x": 13, "z": 22, "e": 40, "c": 57, "h": 63, "u": 79}, "is_reverse": false}} | 959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 15; p = q + 4; j = o + 8; t = 2; h = c + 6; z = x + 9; y = p + 4; c = e + 17; u = h + 16; s = t + 14; e = z + 18; q = j + 20; x = t + 11. Given that t = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = t + 11, which gives x = 13.\n2. Compute z using z = x + 9, which gives z = 22.\n3. Compute e using e = z + 18, which gives e = 40.\n4. Compute c using c = e + 17, which gives c = 57.\n5. Compute h using h = c + 6, which gives h = 63.\n6. Compute u using u = h + 16, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 959,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 15; p = q + 4; j = o + 8; t = 2; h = c + 6; z = x + 9; y = p + 4; c = e + 17; u = h + 16; s = t + 14; e = z + 18; q = j + 20; x = t + 11. Given that t = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 3", "p": "l + 11", "k": "p + 1", "y": "k + 12", "v": "y + 7", "h": "v + 3", "a": "s + 7", "j": "a + 7", "w": "j + 11", "c": "w + 14", "x": "c + 18", "i": "x + 17", "s": 8}, "premises": {"s": 8}, "target": "h"}, "answer": {"steps": [["l", "s + 3", 11], ["p", "l + 11", 22], ["k", "p + 1", 23], ["y", "k + 12", 35], ["v", "y + 7", 42], ["h", "v + 3", 45]], "target_var_name": "h", "target_value": 45, "value_dict": {"s": 8, "l": 11, "p": 22, "k": 23, "y": 35, "v": 42, "h": 45}, "is_reverse": false}} | 960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = y + 7; k = p + 1; l = s + 3; p = l + 11; w = j + 11; a = s + 7; h = v + 3; i = x + 17; s = 8; y = k + 12; c = w + 14; x = c + 18; j = a + 7. Given that s = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = s + 3, which gives l = 11.\n2. Compute p using p = l + 11, which gives p = 22.\n3. Compute k using k = p + 1, which gives k = 23.\n4. Compute y using y = k + 12, which gives y = 35.\n5. Compute v using v = y + 7, which gives v = 42.\n6. Compute h using h = v + 3, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 960,
"question": "Suppose a collection of variables is related by the following definitions: v = y + 7; k = p + 1; l = s + 3; p = l + 11; w = j + 11; a = s + 7; h = v + 3; i = x + 17; s = 8; y = k + 12; c = w + 14; x = c + 18; j = a + 7. Given that s = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 2", "t": "c + 10", "n": "t + 2", "o": "n + 20", "w": "o + 9", "e": "w + 11", "u": "s + 7", "y": "u + 6", "p": "y + 16", "b": "p + 9", "g": "b + 6", "x": "g + 7", "s": 5}, "premises": {"s": 5}, "target": "e"}, "answer": {"steps": [["c", "s + 2", 7], ["t", "c + 10", 17], ["n", "t + 2", 19], ["o", "n + 20", 39], ["w", "o + 9", 48], ["e", "w + 11", 59]], "target_var_name": "e", "target_value": 59, "value_dict": {"s": 5, "c": 7, "t": 17, "n": 19, "o": 39, "w": 48, "e": 59}, "is_reverse": false}} | 961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 20; y = u + 6; n = t + 2; x = g + 7; w = o + 9; e = w + 11; c = s + 2; b = p + 9; g = b + 6; t = c + 10; s = 5; u = s + 7; p = y + 16. Given that s = 5, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = s + 2, which gives c = 7.\n2. Compute t using t = c + 10, which gives t = 17.\n3. Compute n using n = t + 2, which gives n = 19.\n4. Compute o using o = n + 20, which gives o = 39.\n5. Compute w using w = o + 9, which gives w = 48.\n6. Compute e using e = w + 11, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 961,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 20; y = u + 6; n = t + 2; x = g + 7; w = o + 9; e = w + 11; c = s + 2; b = p + 9; g = b + 6; t = c + 10; s = 5; u = s + 7; p = y + 16. Given that s = 5, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 19", "l": "x + 3", "f": "l + 12", "t": "f + 7", "m": "t + 10", "n": "m + 6", "a": "q + 14", "c": "a + 15", "g": "c + 20", "s": "g + 19", "y": "s + 4", "i": "y + 18", "q": 11}, "premises": {"q": 11}, "target": "n"}, "answer": {"steps": [["x", "q + 19", 30], ["l", "x + 3", 33], ["f", "l + 12", 45], ["t", "f + 7", 52], ["m", "t + 10", 62], ["n", "m + 6", 68]], "target_var_name": "n", "target_value": 68, "value_dict": {"q": 11, "x": 30, "l": 33, "f": 45, "t": 52, "m": 62, "n": 68}, "is_reverse": false}} | 962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 6; i = y + 18; s = g + 19; l = x + 3; y = s + 4; x = q + 19; a = q + 14; c = a + 15; t = f + 7; f = l + 12; g = c + 20; m = t + 10; q = 11. Given that q = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = q + 19, which gives x = 30.\n2. Compute l using l = x + 3, which gives l = 33.\n3. Compute f using f = l + 12, which gives f = 45.\n4. Compute t using t = f + 7, which gives t = 52.\n5. Compute m using m = t + 10, which gives m = 62.\n6. Compute n using n = m + 6, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 962,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 6; i = y + 18; s = g + 19; l = x + 3; y = s + 4; x = q + 19; a = q + 14; c = a + 15; t = f + 7; f = l + 12; g = c + 20; m = t + 10; q = 11. Given that q = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 4", "y": "f + 5", "m": "y + 17", "b": "m + 8", "w": "b + 14", "h": "w + 20", "o": "g + 2", "s": "o + 5", "d": "s + 3", "i": "d + 7", "k": "i + 9", "v": "k + 4", "g": 18}, "premises": {"g": 18}, "target": "h"}, "answer": {"steps": [["f", "g + 4", 22], ["y", "f + 5", 27], ["m", "y + 17", 44], ["b", "m + 8", 52], ["w", "b + 14", 66], ["h", "w + 20", 86]], "target_var_name": "h", "target_value": 86, "value_dict": {"g": 18, "f": 22, "y": 27, "m": 44, "b": 52, "w": 66, "h": 86}, "is_reverse": false}} | 963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 5; m = y + 17; o = g + 2; d = s + 3; b = m + 8; w = b + 14; g = 18; k = i + 9; h = w + 20; f = g + 4; i = d + 7; v = k + 4; s = o + 5. Given that g = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = g + 4, which gives f = 22.\n2. Compute y using y = f + 5, which gives y = 27.\n3. Compute m using m = y + 17, which gives m = 44.\n4. Compute b using b = m + 8, which gives b = 52.\n5. Compute w using w = b + 14, which gives w = 66.\n6. Compute h using h = w + 20, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 963,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 5; m = y + 17; o = g + 2; d = s + 3; b = m + 8; w = b + 14; g = 18; k = i + 9; h = w + 20; f = g + 4; i = d + 7; v = k + 4; s = o + 5. Given that g = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 2", "m": "y + 2", "x": "m + 10", "p": "x + 17", "l": "p + 17", "k": "l + 9", "n": "u + 2", "r": "n + 19", "j": "r + 5", "s": "j + 7", "w": "s + 20", "o": "w + 1", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["y", "u + 2", 4], ["m", "y + 2", 6], ["x", "m + 10", 16], ["p", "x + 17", 33], ["l", "p + 17", 50], ["k", "l + 9", 59]], "target_var_name": "k", "target_value": 59, "value_dict": {"u": 2, "y": 4, "m": 6, "x": 16, "p": 33, "l": 50, "k": 59}, "is_reverse": false}} | 964 | 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 = l + 9; n = u + 2; s = j + 7; y = u + 2; u = 2; p = x + 17; m = y + 2; l = p + 17; r = n + 19; o = w + 1; w = s + 20; j = r + 5; x = m + 10. If u = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = u + 2, which gives y = 4.\n2. Compute m using m = y + 2, which gives m = 6.\n3. Compute x using x = m + 10, which gives x = 16.\n4. Compute p using p = x + 17, which gives p = 33.\n5. Compute l using l = p + 17, which gives l = 50.\n6. Compute k using k = l + 9, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 9; n = u + 2; s = j + 7; y = u + 2; u = 2; p = x + 17; m = y + 2; l = p + 17; r = n + 19; o = w + 1; w = s + 20; j = r + 5; x = m + 10. If u = 2, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 15", "l": "f + 1", "g": "l + 10", "x": "g + 1", "a": "x + 15", "k": "a + 7", "m": "t + 8", "o": "m + 16", "p": "o + 11", "w": "p + 4", "b": "w + 6", "n": "b + 7", "t": 4}, "premises": {"t": 4}, "target": "k"}, "answer": {"steps": [["f", "t + 15", 19], ["l", "f + 1", 20], ["g", "l + 10", 30], ["x", "g + 1", 31], ["a", "x + 15", 46], ["k", "a + 7", 53]], "target_var_name": "k", "target_value": 53, "value_dict": {"t": 4, "f": 19, "l": 20, "g": 30, "x": 31, "a": 46, "k": 53}, "is_reverse": false}} | 965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 11; a = x + 15; m = t + 8; x = g + 1; t = 4; k = a + 7; l = f + 1; w = p + 4; f = t + 15; b = w + 6; n = b + 7; g = l + 10; o = m + 16. If t = 4, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = t + 15, which gives f = 19.\n2. Compute l using l = f + 1, which gives l = 20.\n3. Compute g using g = l + 10, which gives g = 30.\n4. Compute x using x = g + 1, which gives x = 31.\n5. Compute a using a = x + 15, which gives a = 46.\n6. Compute k using k = a + 7, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 11; a = x + 15; m = t + 8; x = g + 1; t = 4; k = a + 7; l = f + 1; w = p + 4; f = t + 15; b = w + 6; n = b + 7; g = l + 10; o = m + 16. If t = 4, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 19", "d": "u + 4", "h": "d + 10", "o": "h + 9", "m": "o + 1", "g": "m + 11", "c": "j + 17", "z": "c + 6", "p": "z + 7", "t": "p + 19", "v": "t + 18", "i": "v + 17", "j": 4}, "premises": {"j": 4}, "target": "g"}, "answer": {"steps": [["u", "j + 19", 23], ["d", "u + 4", 27], ["h", "d + 10", 37], ["o", "h + 9", 46], ["m", "o + 1", 47], ["g", "m + 11", 58]], "target_var_name": "g", "target_value": 58, "value_dict": {"j": 4, "u": 23, "d": 27, "h": 37, "o": 46, "m": 47, "g": 58}, "is_reverse": false}} | 966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 1; h = d + 10; u = j + 19; v = t + 18; z = c + 6; j = 4; d = u + 4; c = j + 17; g = m + 11; p = z + 7; o = h + 9; i = v + 17; t = p + 19. If j = 4, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = j + 19, which gives u = 23.\n2. Compute d using d = u + 4, which gives d = 27.\n3. Compute h using h = d + 10, which gives h = 37.\n4. Compute o using o = h + 9, which gives o = 46.\n5. Compute m using m = o + 1, which gives m = 47.\n6. Compute g using g = m + 11, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 966,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 1; h = d + 10; u = j + 19; v = t + 18; z = c + 6; j = 4; d = u + 4; c = j + 17; g = m + 11; p = z + 7; o = h + 9; i = v + 17; t = p + 19. If j = 4, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 12", "q": "m + 14", "x": "q + 10", "s": "x + 8", "f": "s + 3", "i": "f + 20", "c": "r + 13", "h": "c + 7", "d": "h + 3", "y": "d + 13", "u": "y + 11", "k": "u + 7", "r": 11}, "premises": {"r": 11}, "target": "i"}, "answer": {"steps": [["m", "r + 12", 23], ["q", "m + 14", 37], ["x", "q + 10", 47], ["s", "x + 8", 55], ["f", "s + 3", 58], ["i", "f + 20", 78]], "target_var_name": "i", "target_value": 78, "value_dict": {"r": 11, "m": 23, "q": 37, "x": 47, "s": 55, "f": 58, "i": 78}, "is_reverse": false}} | 967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 13; s = x + 8; d = h + 3; y = d + 13; r = 11; f = s + 3; u = y + 11; k = u + 7; x = q + 10; h = c + 7; q = m + 14; i = f + 20; m = r + 12. If r = 11, determine 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. Compute m using m = r + 12, which gives m = 23.\n2. Compute q using q = m + 14, which gives q = 37.\n3. Compute x using x = q + 10, which gives x = 47.\n4. Compute s using s = x + 8, which gives s = 55.\n5. Compute f using f = s + 3, which gives f = 58.\n6. Compute i using i = f + 20, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 967,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 13; s = x + 8; d = h + 3; y = d + 13; r = 11; f = s + 3; u = y + 11; k = u + 7; x = q + 10; h = c + 7; q = m + 14; i = f + 20; m = r + 12. If r = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 10", "h": "r + 14", "y": "h + 19", "e": "y + 14", "j": "e + 1", "o": "j + 1", "l": "i + 18", "q": "l + 17", "f": "q + 18", "g": "f + 9", "a": "g + 10", "d": "a + 4", "i": 13}, "premises": {"i": 13}, "target": "o"}, "answer": {"steps": [["r", "i + 10", 23], ["h", "r + 14", 37], ["y", "h + 19", 56], ["e", "y + 14", 70], ["j", "e + 1", 71], ["o", "j + 1", 72]], "target_var_name": "o", "target_value": 72, "value_dict": {"i": 13, "r": 23, "h": 37, "y": 56, "e": 70, "j": 71, "o": 72}, "is_reverse": false}} | 968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 1; f = q + 18; e = y + 14; d = a + 4; g = f + 9; i = 13; a = g + 10; y = h + 19; q = l + 17; r = i + 10; l = i + 18; h = r + 14; j = e + 1. Given that i = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = i + 10, which gives r = 23.\n2. Compute h using h = r + 14, which gives h = 37.\n3. Compute y using y = h + 19, which gives y = 56.\n4. Compute e using e = y + 14, which gives e = 70.\n5. Compute j using j = e + 1, which gives j = 71.\n6. Compute o using o = j + 1, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 968,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 1; f = q + 18; e = y + 14; d = a + 4; g = f + 9; i = 13; a = g + 10; y = h + 19; q = l + 17; r = i + 10; l = i + 18; h = r + 14; j = e + 1. Given that i = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 12", "n": "b + 6", "f": "n + 18", "c": "f + 19", "q": "c + 14", "z": "q + 5", "h": "p + 9", "j": "h + 15", "k": "j + 10", "g": "k + 12", "r": "g + 6", "y": "r + 20", "p": 20}, "premises": {"p": 20}, "target": "z"}, "answer": {"steps": [["b", "p + 12", 32], ["n", "b + 6", 38], ["f", "n + 18", 56], ["c", "f + 19", 75], ["q", "c + 14", 89], ["z", "q + 5", 94]], "target_var_name": "z", "target_value": 94, "value_dict": {"p": 20, "b": 32, "n": 38, "f": 56, "c": 75, "q": 89, "z": 94}, "is_reverse": false}} | 969 | 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 = n + 18; y = r + 20; n = b + 6; g = k + 12; b = p + 12; j = h + 15; c = f + 19; r = g + 6; q = c + 14; p = 20; k = j + 10; h = p + 9; z = q + 5. If p = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = p + 12, which gives b = 32.\n2. Compute n using n = b + 6, which gives n = 38.\n3. Compute f using f = n + 18, which gives f = 56.\n4. Compute c using c = f + 19, which gives c = 75.\n5. Compute q using q = c + 14, which gives q = 89.\n6. Compute z using z = q + 5, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 18; y = r + 20; n = b + 6; g = k + 12; b = p + 12; j = h + 15; c = f + 19; r = g + 6; q = c + 14; p = 20; k = j + 10; h = p + 9; z = q + 5. If p = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 5", "l": "q + 19", "o": "l + 8", "a": "o + 7", "t": "a + 12", "i": "t + 13", "r": "k + 1", "s": "r + 20", "p": "s + 17", "j": "p + 16", "g": "j + 6", "c": "g + 13", "k": 2}, "premises": {"k": 2}, "target": "i"}, "answer": {"steps": [["q", "k + 5", 7], ["l", "q + 19", 26], ["o", "l + 8", 34], ["a", "o + 7", 41], ["t", "a + 12", 53], ["i", "t + 13", 66]], "target_var_name": "i", "target_value": 66, "value_dict": {"k": 2, "q": 7, "l": 26, "o": 34, "a": 41, "t": 53, "i": 66}, "is_reverse": false}} | 970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 17; q = k + 5; r = k + 1; a = o + 7; o = l + 8; s = r + 20; j = p + 16; l = q + 19; g = j + 6; k = 2; c = g + 13; t = a + 12; i = t + 13. Given that k = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = k + 5, which gives q = 7.\n2. Compute l using l = q + 19, which gives l = 26.\n3. Compute o using o = l + 8, which gives o = 34.\n4. Compute a using a = o + 7, which gives a = 41.\n5. Compute t using t = a + 12, which gives t = 53.\n6. Compute i using i = t + 13, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 970,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 17; q = k + 5; r = k + 1; a = o + 7; o = l + 8; s = r + 20; j = p + 16; l = q + 19; g = j + 6; k = 2; c = g + 13; t = a + 12; i = t + 13. Given that k = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 2", "n": "p + 8", "l": "n + 16", "u": "l + 20", "h": "u + 3", "k": "h + 10", "b": "s + 11", "y": "b + 20", "v": "y + 1", "w": "v + 20", "a": "w + 2", "i": "a + 13", "s": 1}, "premises": {"s": 1}, "target": "k"}, "answer": {"steps": [["p", "s + 2", 3], ["n", "p + 8", 11], ["l", "n + 16", 27], ["u", "l + 20", 47], ["h", "u + 3", 50], ["k", "h + 10", 60]], "target_var_name": "k", "target_value": 60, "value_dict": {"s": 1, "p": 3, "n": 11, "l": 27, "u": 47, "h": 50, "k": 60}, "is_reverse": false}} | 971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 20; n = p + 8; a = w + 2; i = a + 13; u = l + 20; p = s + 2; k = h + 10; l = n + 16; v = y + 1; b = s + 11; h = u + 3; s = 1; w = v + 20. If s = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = s + 2, which gives p = 3.\n2. Compute n using n = p + 8, which gives n = 11.\n3. Compute l using l = n + 16, which gives l = 27.\n4. Compute u using u = l + 20, which gives u = 47.\n5. Compute h using h = u + 3, which gives h = 50.\n6. Compute k using k = h + 10, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 20; n = p + 8; a = w + 2; i = a + 13; u = l + 20; p = s + 2; k = h + 10; l = n + 16; v = y + 1; b = s + 11; h = u + 3; s = 1; w = v + 20. If s = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 13", "r": "u + 11", "w": "r + 11", "t": "w + 9", "x": "t + 11", "i": "x + 13", "v": "q + 10", "k": "v + 11", "a": "k + 2", "e": "a + 8", "p": "e + 17", "c": "p + 14", "q": 15}, "premises": {"q": 15}, "target": "i"}, "answer": {"steps": [["u", "q + 13", 28], ["r", "u + 11", 39], ["w", "r + 11", 50], ["t", "w + 9", 59], ["x", "t + 11", 70], ["i", "x + 13", 83]], "target_var_name": "i", "target_value": 83, "value_dict": {"q": 15, "u": 28, "r": 39, "w": 50, "t": 59, "x": 70, "i": 83}, "is_reverse": false}} | 972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 11; v = q + 10; c = p + 14; i = x + 13; k = v + 11; r = u + 11; t = w + 9; x = t + 11; q = 15; u = q + 13; e = a + 8; a = k + 2; p = e + 17. If q = 15, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = q + 13, which gives u = 28.\n2. Compute r using r = u + 11, which gives r = 39.\n3. Compute w using w = r + 11, which gives w = 50.\n4. Compute t using t = w + 9, which gives t = 59.\n5. Compute x using x = t + 11, which gives x = 70.\n6. Compute i using i = x + 13, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 972,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = r + 11; v = q + 10; c = p + 14; i = x + 13; k = v + 11; r = u + 11; t = w + 9; x = t + 11; q = 15; u = q + 13; e = a + 8; a = k + 2; p = e + 17. If q = 15, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 7", "q": "k + 17", "g": "q + 5", "r": "g + 3", "w": "r + 15", "e": "w + 19", "p": "i + 14", "o": "p + 13", "c": "o + 16", "z": "c + 16", "l": "z + 3", "x": "l + 18", "i": 15}, "premises": {"i": 15}, "target": "e"}, "answer": {"steps": [["k", "i + 7", 22], ["q", "k + 17", 39], ["g", "q + 5", 44], ["r", "g + 3", 47], ["w", "r + 15", 62], ["e", "w + 19", 81]], "target_var_name": "e", "target_value": 81, "value_dict": {"i": 15, "k": 22, "q": 39, "g": 44, "r": 47, "w": 62, "e": 81}, "is_reverse": false}} | 973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 16; c = o + 16; g = q + 5; l = z + 3; e = w + 19; k = i + 7; p = i + 14; x = l + 18; i = 15; q = k + 17; r = g + 3; w = r + 15; o = p + 13. If i = 15, determine the 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. Compute k using k = i + 7, which gives k = 22.\n2. Compute q using q = k + 17, which gives q = 39.\n3. Compute g using g = q + 5, which gives g = 44.\n4. Compute r using r = g + 3, which gives r = 47.\n5. Compute w using w = r + 15, which gives w = 62.\n6. Compute e using e = w + 19, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 973,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 16; c = o + 16; g = q + 5; l = z + 3; e = w + 19; k = i + 7; p = i + 14; x = l + 18; i = 15; q = k + 17; r = g + 3; w = r + 15; o = p + 13. If i = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 17", "u": "m + 17", "n": "u + 3", "v": "n + 19", "r": "v + 20", "t": "r + 1", "s": "o + 17", "a": "s + 7", "j": "a + 18", "z": "j + 19", "b": "z + 18", "c": "b + 10", "o": 20}, "premises": {"o": 20}, "target": "t"}, "answer": {"steps": [["m", "o + 17", 37], ["u", "m + 17", 54], ["n", "u + 3", 57], ["v", "n + 19", 76], ["r", "v + 20", 96], ["t", "r + 1", 97]], "target_var_name": "t", "target_value": 97, "value_dict": {"o": 20, "m": 37, "u": 54, "n": 57, "v": 76, "r": 96, "t": 97}, "is_reverse": false}} | 974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 10; t = r + 1; m = o + 17; j = a + 18; r = v + 20; s = o + 17; v = n + 19; b = z + 18; a = s + 7; n = u + 3; u = m + 17; z = j + 19; o = 20. If o = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = o + 17, which gives m = 37.\n2. Compute u using u = m + 17, which gives u = 54.\n3. Compute n using n = u + 3, which gives n = 57.\n4. Compute v using v = n + 19, which gives v = 76.\n5. Compute r using r = v + 20, which gives r = 96.\n6. Compute t using t = r + 1, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 974,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 10; t = r + 1; m = o + 17; j = a + 18; r = v + 20; s = o + 17; v = n + 19; b = z + 18; a = s + 7; n = u + 3; u = m + 17; z = j + 19; o = 20. If o = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 16", "f": "c + 13", "g": "f + 9", "s": "g + 13", "o": "s + 18", "x": "o + 14", "b": "a + 7", "w": "b + 2", "i": "w + 20", "t": "i + 19", "z": "t + 2", "k": "z + 11", "a": 13}, "premises": {"a": 13}, "target": "x"}, "answer": {"steps": [["c", "a + 16", 29], ["f", "c + 13", 42], ["g", "f + 9", 51], ["s", "g + 13", 64], ["o", "s + 18", 82], ["x", "o + 14", 96]], "target_var_name": "x", "target_value": 96, "value_dict": {"a": 13, "c": 29, "f": 42, "g": 51, "s": 64, "o": 82, "x": 96}, "is_reverse": false}} | 975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 16; x = o + 14; s = g + 13; k = z + 11; i = w + 20; t = i + 19; z = t + 2; g = f + 9; o = s + 18; w = b + 2; b = a + 7; f = c + 13; a = 13. If a = 13, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = a + 16, which gives c = 29.\n2. Compute f using f = c + 13, which gives f = 42.\n3. Compute g using g = f + 9, which gives g = 51.\n4. Compute s using s = g + 13, which gives s = 64.\n5. Compute o using o = s + 18, which gives o = 82.\n6. Compute x using x = o + 14, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 975,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 16; x = o + 14; s = g + 13; k = z + 11; i = w + 20; t = i + 19; z = t + 2; g = f + 9; o = s + 18; w = b + 2; b = a + 7; f = c + 13; a = 13. If a = 13, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 8", "w": "k + 11", "n": "w + 5", "u": "n + 16", "b": "u + 11", "s": "b + 3", "h": "y + 11", "i": "h + 14", "x": "i + 7", "a": "x + 18", "v": "a + 16", "e": "v + 3", "y": 4}, "premises": {"y": 4}, "target": "s"}, "answer": {"steps": [["k", "y + 8", 12], ["w", "k + 11", 23], ["n", "w + 5", 28], ["u", "n + 16", 44], ["b", "u + 11", 55], ["s", "b + 3", 58]], "target_var_name": "s", "target_value": 58, "value_dict": {"y": 4, "k": 12, "w": 23, "n": 28, "u": 44, "b": 55, "s": 58}, "is_reverse": false}} | 976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 14; h = y + 11; b = u + 11; k = y + 8; s = b + 3; a = x + 18; y = 4; u = n + 16; x = i + 7; n = w + 5; w = k + 11; v = a + 16; e = v + 3. If y = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = y + 8, which gives k = 12.\n2. Compute w using w = k + 11, which gives w = 23.\n3. Compute n using n = w + 5, which gives n = 28.\n4. Compute u using u = n + 16, which gives u = 44.\n5. Compute b using b = u + 11, which gives b = 55.\n6. Compute s using s = b + 3, which gives s = 58.\n\nThus, the final answer is s = \\boxed{58}.",
"index": 976,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 14; h = y + 11; b = u + 11; k = y + 8; s = b + 3; a = x + 18; y = 4; u = n + 16; x = i + 7; n = w + 5; w = k + 11; v = a + 16; e = v + 3. If y = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 5", "k": "m + 12", "q": "k + 13", "d": "q + 1", "h": "d + 3", "i": "h + 20", "c": "a + 15", "g": "c + 8", "t": "g + 12", "v": "t + 2", "o": "v + 2", "n": "o + 19", "a": 13}, "premises": {"a": 13}, "target": "i"}, "answer": {"steps": [["m", "a + 5", 18], ["k", "m + 12", 30], ["q", "k + 13", 43], ["d", "q + 1", 44], ["h", "d + 3", 47], ["i", "h + 20", 67]], "target_var_name": "i", "target_value": 67, "value_dict": {"a": 13, "m": 18, "k": 30, "q": 43, "d": 44, "h": 47, "i": 67}, "is_reverse": false}} | 977 | 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 = k + 13; t = g + 12; o = v + 2; v = t + 2; a = 13; m = a + 5; n = o + 19; i = h + 20; k = m + 12; c = a + 15; g = c + 8; h = d + 3; d = q + 1. If a = 13, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = a + 5, which gives m = 18.\n2. Compute k using k = m + 12, which gives k = 30.\n3. Compute q using q = k + 13, which gives q = 43.\n4. Compute d using d = q + 1, which gives d = 44.\n5. Compute h using h = d + 3, which gives h = 47.\n6. Compute i using i = h + 20, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 13; t = g + 12; o = v + 2; v = t + 2; a = 13; m = a + 5; n = o + 19; i = h + 20; k = m + 12; c = a + 15; g = c + 8; h = d + 3; d = q + 1. If a = 13, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 10", "x": "p + 13", "i": "x + 20", "j": "i + 19", "k": "j + 3", "w": "k + 9", "e": "f + 3", "y": "e + 18", "g": "y + 15", "s": "g + 6", "h": "s + 2", "c": "h + 11", "f": 4}, "premises": {"f": 4}, "target": "w"}, "answer": {"steps": [["p", "f + 10", 14], ["x", "p + 13", 27], ["i", "x + 20", 47], ["j", "i + 19", 66], ["k", "j + 3", 69], ["w", "k + 9", 78]], "target_var_name": "w", "target_value": 78, "value_dict": {"f": 4, "p": 14, "x": 27, "i": 47, "j": 66, "k": 69, "w": 78}, "is_reverse": false}} | 978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 3; j = i + 19; y = e + 18; h = s + 2; w = k + 9; c = h + 11; x = p + 13; f = 4; i = x + 20; s = g + 6; g = y + 15; p = f + 10; k = j + 3. Given that f = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = f + 10, which gives p = 14.\n2. Compute x using x = p + 13, which gives x = 27.\n3. Compute i using i = x + 20, which gives i = 47.\n4. Compute j using j = i + 19, which gives j = 66.\n5. Compute k using k = j + 3, which gives k = 69.\n6. Compute w using w = k + 9, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 978,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 3; j = i + 19; y = e + 18; h = s + 2; w = k + 9; c = h + 11; x = p + 13; f = 4; i = x + 20; s = g + 6; g = y + 15; p = f + 10; k = j + 3. Given that f = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "m + 5", "p": "j + 10", "n": "p + 2", "t": "n + 20", "u": "t + 11", "w": "u + 3", "r": "m + 8", "s": "r + 10", "y": "s + 15", "o": "y + 2", "c": "o + 19", "h": "c + 9", "m": 18}, "premises": {"m": 18}, "target": "w"}, "answer": {"steps": [["j", "m + 5", 23], ["p", "j + 10", 33], ["n", "p + 2", 35], ["t", "n + 20", 55], ["u", "t + 11", 66], ["w", "u + 3", 69]], "target_var_name": "w", "target_value": 69, "value_dict": {"m": 18, "j": 23, "p": 33, "n": 35, "t": 55, "u": 66, "w": 69}, "is_reverse": false}} | 979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 9; c = o + 19; j = m + 5; m = 18; w = u + 3; r = m + 8; s = r + 10; u = t + 11; o = y + 2; n = p + 2; p = j + 10; t = n + 20; y = s + 15. Given that m = 18, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = m + 5, which gives j = 23.\n2. Compute p using p = j + 10, which gives p = 33.\n3. Compute n using n = p + 2, which gives n = 35.\n4. Compute t using t = n + 20, which gives t = 55.\n5. Compute u using u = t + 11, which gives u = 66.\n6. Compute w using w = u + 3, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 979,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 9; c = o + 19; j = m + 5; m = 18; w = u + 3; r = m + 8; s = r + 10; u = t + 11; o = y + 2; n = p + 2; p = j + 10; t = n + 20; y = s + 15. Given that m = 18, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 5", "k": "y + 11", "i": "k + 18", "n": "i + 12", "o": "n + 2", "s": "o + 19", "w": "r + 7", "c": "w + 11", "q": "c + 8", "j": "q + 16", "t": "j + 7", "e": "t + 9", "r": 1}, "premises": {"r": 1}, "target": "s"}, "answer": {"steps": [["y", "r + 5", 6], ["k", "y + 11", 17], ["i", "k + 18", 35], ["n", "i + 12", 47], ["o", "n + 2", 49], ["s", "o + 19", 68]], "target_var_name": "s", "target_value": 68, "value_dict": {"r": 1, "y": 6, "k": 17, "i": 35, "n": 47, "o": 49, "s": 68}, "is_reverse": false}} | 980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 2; i = k + 18; k = y + 11; w = r + 7; q = c + 8; c = w + 11; n = i + 12; y = r + 5; j = q + 16; e = t + 9; r = 1; s = o + 19; t = j + 7. If r = 1, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = r + 5, which gives y = 6.\n2. Compute k using k = y + 11, which gives k = 17.\n3. Compute i using i = k + 18, which gives i = 35.\n4. Compute n using n = i + 12, which gives n = 47.\n5. Compute o using o = n + 2, which gives o = 49.\n6. Compute s using s = o + 19, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 2; i = k + 18; k = y + 11; w = r + 7; q = c + 8; c = w + 11; n = i + 12; y = r + 5; j = q + 16; e = t + 9; r = 1; s = o + 19; t = j + 7. If r = 1, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 5", "c": "p + 10", "z": "c + 16", "r": "z + 10", "u": "r + 14", "k": "u + 18", "m": "x + 12", "i": "m + 3", "q": "i + 10", "f": "q + 9", "e": "f + 9", "g": "e + 15", "x": 13}, "premises": {"x": 13}, "target": "k"}, "answer": {"steps": [["p", "x + 5", 18], ["c", "p + 10", 28], ["z", "c + 16", 44], ["r", "z + 10", 54], ["u", "r + 14", 68], ["k", "u + 18", 86]], "target_var_name": "k", "target_value": 86, "value_dict": {"x": 13, "p": 18, "c": 28, "z": 44, "r": 54, "u": 68, "k": 86}, "is_reverse": false}} | 981 | 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 = u + 18; c = p + 10; g = e + 15; f = q + 9; e = f + 9; i = m + 3; m = x + 12; u = r + 14; q = i + 10; r = z + 10; x = 13; z = c + 16; p = x + 5. If x = 13, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = x + 5, which gives p = 18.\n2. Compute c using c = p + 10, which gives c = 28.\n3. Compute z using z = c + 16, which gives z = 44.\n4. Compute r using r = z + 10, which gives r = 54.\n5. Compute u using u = r + 14, which gives u = 68.\n6. Compute k using k = u + 18, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 981,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 18; c = p + 10; g = e + 15; f = q + 9; e = f + 9; i = m + 3; m = x + 12; u = r + 14; q = i + 10; r = z + 10; x = 13; z = c + 16; p = x + 5. If x = 13, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 4", "s": "r + 15", "v": "s + 1", "m": "v + 13", "k": "m + 16", "o": "k + 12", "j": "i + 18", "h": "j + 12", "n": "h + 13", "p": "n + 4", "f": "p + 15", "c": "f + 10", "i": 15}, "premises": {"i": 15}, "target": "o"}, "answer": {"steps": [["r", "i + 4", 19], ["s", "r + 15", 34], ["v", "s + 1", 35], ["m", "v + 13", 48], ["k", "m + 16", 64], ["o", "k + 12", 76]], "target_var_name": "o", "target_value": 76, "value_dict": {"i": 15, "r": 19, "s": 34, "v": 35, "m": 48, "k": 64, "o": 76}, "is_reverse": false}} | 982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = k + 12; i = 15; p = n + 4; c = f + 10; n = h + 13; m = v + 13; h = j + 12; s = r + 15; j = i + 18; k = m + 16; v = s + 1; f = p + 15; r = i + 4. If i = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = i + 4, which gives r = 19.\n2. Compute s using s = r + 15, which gives s = 34.\n3. Compute v using v = s + 1, which gives v = 35.\n4. Compute m using m = v + 13, which gives m = 48.\n5. Compute k using k = m + 16, which gives k = 64.\n6. Compute o using o = k + 12, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 982,
"question": "Consider a system of variables where each variable is defined as follows: o = k + 12; i = 15; p = n + 4; c = f + 10; n = h + 13; m = v + 13; h = j + 12; s = r + 15; j = i + 18; k = m + 16; v = s + 1; f = p + 15; r = i + 4. If i = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 2", "t": "u + 12", "d": "t + 6", "k": "d + 18", "c": "k + 13", "e": "c + 13", "p": "g + 1", "h": "p + 5", "v": "h + 19", "s": "v + 14", "x": "s + 1", "b": "x + 10", "g": 1}, "premises": {"g": 1}, "target": "e"}, "answer": {"steps": [["u", "g + 2", 3], ["t", "u + 12", 15], ["d", "t + 6", 21], ["k", "d + 18", 39], ["c", "k + 13", 52], ["e", "c + 13", 65]], "target_var_name": "e", "target_value": 65, "value_dict": {"g": 1, "u": 3, "t": 15, "d": 21, "k": 39, "c": 52, "e": 65}, "is_reverse": false}} | 983 | 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 = x + 10; d = t + 6; v = h + 19; e = c + 13; k = d + 18; t = u + 12; h = p + 5; c = k + 13; x = s + 1; u = g + 2; g = 1; p = g + 1; s = v + 14. If g = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = g + 2, which gives u = 3.\n2. Compute t using t = u + 12, which gives t = 15.\n3. Compute d using d = t + 6, which gives d = 21.\n4. Compute k using k = d + 18, which gives k = 39.\n5. Compute c using c = k + 13, which gives c = 52.\n6. Compute e using e = c + 13, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 10; d = t + 6; v = h + 19; e = c + 13; k = d + 18; t = u + 12; h = p + 5; c = k + 13; x = s + 1; u = g + 2; g = 1; p = g + 1; s = v + 14. If g = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 17", "k": "s + 5", "d": "k + 4", "f": "d + 8", "x": "f + 14", "c": "x + 3", "z": "i + 6", "m": "z + 13", "a": "m + 4", "h": "a + 3", "b": "h + 17", "v": "b + 5", "i": 5}, "premises": {"i": 5}, "target": "c"}, "answer": {"steps": [["s", "i + 17", 22], ["k", "s + 5", 27], ["d", "k + 4", 31], ["f", "d + 8", 39], ["x", "f + 14", 53], ["c", "x + 3", 56]], "target_var_name": "c", "target_value": 56, "value_dict": {"i": 5, "s": 22, "k": 27, "d": 31, "f": 39, "x": 53, "c": 56}, "is_reverse": false}} | 984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = k + 4; c = x + 3; h = a + 3; i = 5; m = z + 13; b = h + 17; x = f + 14; f = d + 8; a = m + 4; k = s + 5; s = i + 17; z = i + 6; v = b + 5. If i = 5, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = i + 17, which gives s = 22.\n2. Compute k using k = s + 5, which gives k = 27.\n3. Compute d using d = k + 4, which gives d = 31.\n4. Compute f using f = d + 8, which gives f = 39.\n5. Compute x using x = f + 14, which gives x = 53.\n6. Compute c using c = x + 3, which gives c = 56.\n\nThus, the final answer is c = \\boxed{56}.",
"index": 984,
"question": "Consider a system of variables where each variable is defined as follows: d = k + 4; c = x + 3; h = a + 3; i = 5; m = z + 13; b = h + 17; x = f + 14; f = d + 8; a = m + 4; k = s + 5; s = i + 17; z = i + 6; v = b + 5. If i = 5, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 19", "t": "c + 9", "h": "t + 15", "w": "h + 3", "z": "w + 2", "f": "z + 7", "l": "o + 1", "q": "l + 5", "d": "q + 1", "b": "d + 5", "v": "b + 3", "r": "v + 12", "o": 2}, "premises": {"o": 2}, "target": "f"}, "answer": {"steps": [["c", "o + 19", 21], ["t", "c + 9", 30], ["h", "t + 15", 45], ["w", "h + 3", 48], ["z", "w + 2", 50], ["f", "z + 7", 57]], "target_var_name": "f", "target_value": 57, "value_dict": {"o": 2, "c": 21, "t": 30, "h": 45, "w": 48, "z": 50, "f": 57}, "is_reverse": false}} | 985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 19; r = v + 12; w = h + 3; t = c + 9; z = w + 2; v = b + 3; d = q + 1; b = d + 5; l = o + 1; o = 2; f = z + 7; q = l + 5; h = t + 15. If o = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = o + 19, which gives c = 21.\n2. Compute t using t = c + 9, which gives t = 30.\n3. Compute h using h = t + 15, which gives h = 45.\n4. Compute w using w = h + 3, which gives w = 48.\n5. Compute z using z = w + 2, which gives z = 50.\n6. Compute f using f = z + 7, which gives f = 57.\n\nThus, the final answer is f = \\boxed{57}.",
"index": 985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 19; r = v + 12; w = h + 3; t = c + 9; z = w + 2; v = b + 3; d = q + 1; b = d + 5; l = o + 1; o = 2; f = z + 7; q = l + 5; h = t + 15. If o = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 15", "u": "i + 19", "f": "u + 19", "v": "f + 16", "l": "v + 4", "x": "l + 19", "r": "d + 2", "b": "r + 2", "g": "b + 3", "o": "g + 2", "h": "o + 11", "t": "h + 19", "d": 18}, "premises": {"d": 18}, "target": "x"}, "answer": {"steps": [["i", "d + 15", 33], ["u", "i + 19", 52], ["f", "u + 19", 71], ["v", "f + 16", 87], ["l", "v + 4", 91], ["x", "l + 19", 110]], "target_var_name": "x", "target_value": 110, "value_dict": {"d": 18, "i": 33, "u": 52, "f": 71, "v": 87, "l": 91, "x": 110}, "is_reverse": false}} | 986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 15; h = o + 11; r = d + 2; o = g + 2; v = f + 16; f = u + 19; l = v + 4; u = i + 19; t = h + 19; x = l + 19; g = b + 3; d = 18; b = r + 2. If d = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = d + 15, which gives i = 33.\n2. Compute u using u = i + 19, which gives u = 52.\n3. Compute f using f = u + 19, which gives f = 71.\n4. Compute v using v = f + 16, which gives v = 87.\n5. Compute l using l = v + 4, which gives l = 91.\n6. Compute x using x = l + 19, which gives x = 110.\n\nThus, the final answer is x = \\boxed{110}.",
"index": 986,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 15; h = o + 11; r = d + 2; o = g + 2; v = f + 16; f = u + 19; l = v + 4; u = i + 19; t = h + 19; x = l + 19; g = b + 3; d = 18; b = r + 2. If d = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 2", "g": "h + 20", "y": "g + 12", "x": "y + 1", "r": "x + 4", "n": "r + 17", "e": "s + 19", "v": "e + 12", "z": "v + 6", "c": "z + 3", "l": "c + 14", "i": "l + 20", "s": 11}, "premises": {"s": 11}, "target": "n"}, "answer": {"steps": [["h", "s + 2", 13], ["g", "h + 20", 33], ["y", "g + 12", 45], ["x", "y + 1", 46], ["r", "x + 4", 50], ["n", "r + 17", 67]], "target_var_name": "n", "target_value": 67, "value_dict": {"s": 11, "h": 13, "g": 33, "y": 45, "x": 46, "r": 50, "n": 67}, "is_reverse": false}} | 987 | 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 + 12; n = r + 17; h = s + 2; y = g + 12; s = 11; i = l + 20; g = h + 20; z = v + 6; l = c + 14; c = z + 3; x = y + 1; e = s + 19; r = x + 4. If s = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = s + 2, which gives h = 13.\n2. Compute g using g = h + 20, which gives g = 33.\n3. Compute y using y = g + 12, which gives y = 45.\n4. Compute x using x = y + 1, which gives x = 46.\n5. Compute r using r = x + 4, which gives r = 50.\n6. Compute n using n = r + 17, which gives n = 67.\n\nThus, the final answer is n = \\boxed{67}.",
"index": 987,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 12; n = r + 17; h = s + 2; y = g + 12; s = 11; i = l + 20; g = h + 20; z = v + 6; l = c + 14; c = z + 3; x = y + 1; e = s + 19; r = x + 4. If s = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 3", "d": "v + 19", "w": "d + 19", "u": "w + 11", "o": "u + 19", "a": "o + 12", "x": "k + 9", "z": "x + 15", "j": "z + 1", "b": "j + 5", "c": "b + 4", "i": "c + 8", "k": 18}, "premises": {"k": 18}, "target": "a"}, "answer": {"steps": [["v", "k + 3", 21], ["d", "v + 19", 40], ["w", "d + 19", 59], ["u", "w + 11", 70], ["o", "u + 19", 89], ["a", "o + 12", 101]], "target_var_name": "a", "target_value": 101, "value_dict": {"k": 18, "v": 21, "d": 40, "w": 59, "u": 70, "o": 89, "a": 101}, "is_reverse": false}} | 988 | 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 = z + 1; b = j + 5; o = u + 19; u = w + 11; c = b + 4; w = d + 19; a = o + 12; v = k + 3; i = c + 8; d = v + 19; k = 18; x = k + 9; z = x + 15. If k = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = k + 3, which gives v = 21.\n2. Compute d using d = v + 19, which gives d = 40.\n3. Compute w using w = d + 19, which gives w = 59.\n4. Compute u using u = w + 11, which gives u = 70.\n5. Compute o using o = u + 19, which gives o = 89.\n6. Compute a using a = o + 12, which gives a = 101.\n\nThus, the final answer is a = \\boxed{101}.",
"index": 988,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 1; b = j + 5; o = u + 19; u = w + 11; c = b + 4; w = d + 19; a = o + 12; v = k + 3; i = c + 8; d = v + 19; k = 18; x = k + 9; z = x + 15. If k = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 14", "i": "a + 11", "x": "i + 8", "j": "x + 11", "u": "j + 15", "q": "u + 17", "v": "r + 17", "o": "v + 5", "z": "o + 12", "c": "z + 6", "d": "c + 18", "m": "d + 9", "r": 7}, "premises": {"r": 7}, "target": "q"}, "answer": {"steps": [["a", "r + 14", 21], ["i", "a + 11", 32], ["x", "i + 8", 40], ["j", "x + 11", 51], ["u", "j + 15", 66], ["q", "u + 17", 83]], "target_var_name": "q", "target_value": 83, "value_dict": {"r": 7, "a": 21, "i": 32, "x": 40, "j": 51, "u": 66, "q": 83}, "is_reverse": false}} | 989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = u + 17; j = x + 11; u = j + 15; r = 7; z = o + 12; d = c + 18; a = r + 14; m = d + 9; i = a + 11; v = r + 17; x = i + 8; o = v + 5; c = z + 6. Given that r = 7, 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. Compute a using a = r + 14, which gives a = 21.\n2. Compute i using i = a + 11, which gives i = 32.\n3. Compute x using x = i + 8, which gives x = 40.\n4. Compute j using j = x + 11, which gives j = 51.\n5. Compute u using u = j + 15, which gives u = 66.\n6. Compute q using q = u + 17, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 989,
"question": "Suppose a collection of variables is related by the following definitions: q = u + 17; j = x + 11; u = j + 15; r = 7; z = o + 12; d = c + 18; a = r + 14; m = d + 9; i = a + 11; v = r + 17; x = i + 8; o = v + 5; c = z + 6. Given that r = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 6", "l": "c + 3", "k": "l + 4", "d": "k + 6", "a": "d + 13", "i": "a + 19", "n": "s + 11", "x": "n + 9", "w": "x + 6", "e": "w + 15", "o": "e + 4", "b": "o + 16", "s": 20}, "premises": {"s": 20}, "target": "i"}, "answer": {"steps": [["c", "s + 6", 26], ["l", "c + 3", 29], ["k", "l + 4", 33], ["d", "k + 6", 39], ["a", "d + 13", 52], ["i", "a + 19", 71]], "target_var_name": "i", "target_value": 71, "value_dict": {"s": 20, "c": 26, "l": 29, "k": 33, "d": 39, "a": 52, "i": 71}, "is_reverse": false}} | 990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 19; e = w + 15; c = s + 6; b = o + 16; x = n + 9; k = l + 4; o = e + 4; l = c + 3; d = k + 6; n = s + 11; w = x + 6; s = 20; a = d + 13. If s = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = s + 6, which gives c = 26.\n2. Compute l using l = c + 3, which gives l = 29.\n3. Compute k using k = l + 4, which gives k = 33.\n4. Compute d using d = k + 6, which gives d = 39.\n5. Compute a using a = d + 13, which gives a = 52.\n6. Compute i using i = a + 19, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 990,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 19; e = w + 15; c = s + 6; b = o + 16; x = n + 9; k = l + 4; o = e + 4; l = c + 3; d = k + 6; n = s + 11; w = x + 6; s = 20; a = d + 13. If s = 20, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 19", "g": "j + 15", "b": "g + 12", "p": "b + 4", "i": "p + 13", "n": "i + 18", "a": "q + 6", "r": "a + 3", "t": "r + 3", "e": "t + 8", "m": "e + 5", "v": "m + 9", "q": 14}, "premises": {"q": 14}, "target": "n"}, "answer": {"steps": [["j", "q + 19", 33], ["g", "j + 15", 48], ["b", "g + 12", 60], ["p", "b + 4", 64], ["i", "p + 13", 77], ["n", "i + 18", 95]], "target_var_name": "n", "target_value": 95, "value_dict": {"q": 14, "j": 33, "g": 48, "b": 60, "p": 64, "i": 77, "n": 95}, "is_reverse": false}} | 991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 3; m = e + 5; n = i + 18; i = p + 13; v = m + 9; b = g + 12; g = j + 15; r = a + 3; j = q + 19; q = 14; a = q + 6; e = t + 8; p = b + 4. Given that q = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = q + 19, which gives j = 33.\n2. Compute g using g = j + 15, which gives g = 48.\n3. Compute b using b = g + 12, which gives b = 60.\n4. Compute p using p = b + 4, which gives p = 64.\n5. Compute i using i = p + 13, which gives i = 77.\n6. Compute n using n = i + 18, which gives n = 95.\n\nThus, the final answer is n = \\boxed{95}.",
"index": 991,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 3; m = e + 5; n = i + 18; i = p + 13; v = m + 9; b = g + 12; g = j + 15; r = a + 3; j = q + 19; q = 14; a = q + 6; e = t + 8; p = b + 4. Given that q = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 8", "t": "i + 6", "l": "t + 20", "h": "l + 14", "o": "h + 16", "j": "o + 19", "v": "e + 16", "z": "v + 19", "r": "z + 3", "d": "r + 3", "y": "d + 2", "k": "y + 19", "e": 14}, "premises": {"e": 14}, "target": "j"}, "answer": {"steps": [["i", "e + 8", 22], ["t", "i + 6", 28], ["l", "t + 20", 48], ["h", "l + 14", 62], ["o", "h + 16", 78], ["j", "o + 19", 97]], "target_var_name": "j", "target_value": 97, "value_dict": {"e": 14, "i": 22, "t": 28, "l": 48, "h": 62, "o": 78, "j": 97}, "is_reverse": false}} | 992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 3; d = r + 3; o = h + 16; k = y + 19; i = e + 8; v = e + 16; l = t + 20; h = l + 14; j = o + 19; e = 14; y = d + 2; t = i + 6; z = v + 19. Given that e = 14, 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. Compute i using i = e + 8, which gives i = 22.\n2. Compute t using t = i + 6, which gives t = 28.\n3. Compute l using l = t + 20, which gives l = 48.\n4. Compute h using h = l + 14, which gives h = 62.\n5. Compute o using o = h + 16, which gives o = 78.\n6. Compute j using j = o + 19, which gives j = 97.\n\nThus, the final answer is j = \\boxed{97}.",
"index": 992,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 3; d = r + 3; o = h + 16; k = y + 19; i = e + 8; v = e + 16; l = t + 20; h = l + 14; j = o + 19; e = 14; y = d + 2; t = i + 6; z = v + 19. Given that e = 14, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 4", "y": "z + 12", "t": "y + 5", "c": "t + 5", "r": "c + 2", "h": "r + 20", "i": "o + 5", "w": "i + 5", "g": "w + 15", "j": "g + 9", "k": "j + 5", "q": "k + 4", "o": 10}, "premises": {"o": 10}, "target": "h"}, "answer": {"steps": [["z", "o + 4", 14], ["y", "z + 12", 26], ["t", "y + 5", 31], ["c", "t + 5", 36], ["r", "c + 2", 38], ["h", "r + 20", 58]], "target_var_name": "h", "target_value": 58, "value_dict": {"o": 10, "z": 14, "y": 26, "t": 31, "c": 36, "r": 38, "h": 58}, "is_reverse": false}} | 993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 20; i = o + 5; o = 10; j = g + 9; g = w + 15; k = j + 5; c = t + 5; q = k + 4; w = i + 5; z = o + 4; t = y + 5; r = c + 2; y = z + 12. If o = 10, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = o + 4, which gives z = 14.\n2. Compute y using y = z + 12, which gives y = 26.\n3. Compute t using t = y + 5, which gives t = 31.\n4. Compute c using c = t + 5, which gives c = 36.\n5. Compute r using r = c + 2, which gives r = 38.\n6. Compute h using h = r + 20, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 993,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 20; i = o + 5; o = 10; j = g + 9; g = w + 15; k = j + 5; c = t + 5; q = k + 4; w = i + 5; z = o + 4; t = y + 5; r = c + 2; y = z + 12. If o = 10, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 8", "x": "d + 10", "k": "x + 11", "m": "k + 10", "b": "m + 14", "i": "b + 15", "r": "a + 12", "h": "r + 7", "e": "h + 6", "l": "e + 19", "v": "l + 15", "g": "v + 17", "a": 7}, "premises": {"a": 7}, "target": "i"}, "answer": {"steps": [["d", "a + 8", 15], ["x", "d + 10", 25], ["k", "x + 11", 36], ["m", "k + 10", 46], ["b", "m + 14", 60], ["i", "b + 15", 75]], "target_var_name": "i", "target_value": 75, "value_dict": {"a": 7, "d": 15, "x": 25, "k": 36, "m": 46, "b": 60, "i": 75}, "is_reverse": false}} | 994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 14; v = l + 15; l = e + 19; x = d + 10; d = a + 8; g = v + 17; r = a + 12; h = r + 7; e = h + 6; m = k + 10; a = 7; i = b + 15; k = x + 11. Given that a = 7, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = a + 8, which gives d = 15.\n2. Compute x using x = d + 10, which gives x = 25.\n3. Compute k using k = x + 11, which gives k = 36.\n4. Compute m using m = k + 10, which gives m = 46.\n5. Compute b using b = m + 14, which gives b = 60.\n6. Compute i using i = b + 15, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 994,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 14; v = l + 15; l = e + 19; x = d + 10; d = a + 8; g = v + 17; r = a + 12; h = r + 7; e = h + 6; m = k + 10; a = 7; i = b + 15; k = x + 11. Given that a = 7, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 8", "k": "t + 19", "r": "k + 8", "f": "r + 4", "z": "f + 19", "c": "z + 16", "j": "w + 9", "n": "j + 4", "l": "n + 16", "u": "l + 20", "x": "u + 12", "p": "x + 20", "w": 20}, "premises": {"w": 20}, "target": "c"}, "answer": {"steps": [["t", "w + 8", 28], ["k", "t + 19", 47], ["r", "k + 8", 55], ["f", "r + 4", 59], ["z", "f + 19", 78], ["c", "z + 16", 94]], "target_var_name": "c", "target_value": 94, "value_dict": {"w": 20, "t": 28, "k": 47, "r": 55, "f": 59, "z": 78, "c": 94}, "is_reverse": false}} | 995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 4; x = u + 12; u = l + 20; l = n + 16; n = j + 4; t = w + 8; k = t + 19; c = z + 16; r = k + 8; z = f + 19; p = x + 20; j = w + 9; w = 20. If w = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = w + 8, which gives t = 28.\n2. Compute k using k = t + 19, which gives k = 47.\n3. Compute r using r = k + 8, which gives r = 55.\n4. Compute f using f = r + 4, which gives f = 59.\n5. Compute z using z = f + 19, which gives z = 78.\n6. Compute c using c = z + 16, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 995,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 4; x = u + 12; u = l + 20; l = n + 16; n = j + 4; t = w + 8; k = t + 19; c = z + 16; r = k + 8; z = f + 19; p = x + 20; j = w + 9; w = 20. If w = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 2", "z": "p + 1", "x": "z + 3", "l": "x + 16", "v": "l + 2", "r": "v + 13", "d": "g + 6", "q": "d + 20", "t": "q + 14", "i": "t + 2", "f": "i + 10", "c": "f + 11", "g": 11}, "premises": {"g": 11}, "target": "r"}, "answer": {"steps": [["p", "g + 2", 13], ["z", "p + 1", 14], ["x", "z + 3", 17], ["l", "x + 16", 33], ["v", "l + 2", 35], ["r", "v + 13", 48]], "target_var_name": "r", "target_value": 48, "value_dict": {"g": 11, "p": 13, "z": 14, "x": 17, "l": 33, "v": 35, "r": 48}, "is_reverse": false}} | 996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 10; q = d + 20; x = z + 3; v = l + 2; p = g + 2; r = v + 13; z = p + 1; t = q + 14; d = g + 6; l = x + 16; c = f + 11; g = 11; i = t + 2. Given that g = 11, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = g + 2, which gives p = 13.\n2. Compute z using z = p + 1, which gives z = 14.\n3. Compute x using x = z + 3, which gives x = 17.\n4. Compute l using l = x + 16, which gives l = 33.\n5. Compute v using v = l + 2, which gives v = 35.\n6. Compute r using r = v + 13, which gives r = 48.\n\nThus, the final answer is r = \\boxed{48}.",
"index": 996,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 10; q = d + 20; x = z + 3; v = l + 2; p = g + 2; r = v + 13; z = p + 1; t = q + 14; d = g + 6; l = x + 16; c = f + 11; g = 11; i = t + 2. Given that g = 11, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 12", "v": "z + 2", "p": "v + 16", "n": "p + 13", "l": "n + 20", "s": "l + 18", "y": "x + 19", "o": "y + 5", "f": "o + 17", "h": "f + 15", "c": "h + 9", "e": "c + 12", "x": 10}, "premises": {"x": 10}, "target": "s"}, "answer": {"steps": [["z", "x + 12", 22], ["v", "z + 2", 24], ["p", "v + 16", 40], ["n", "p + 13", 53], ["l", "n + 20", 73], ["s", "l + 18", 91]], "target_var_name": "s", "target_value": 91, "value_dict": {"x": 10, "z": 22, "v": 24, "p": 40, "n": 53, "l": 73, "s": 91}, "is_reverse": false}} | 997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 12; o = y + 5; l = n + 20; p = v + 16; f = o + 17; h = f + 15; y = x + 19; s = l + 18; e = c + 12; x = 10; c = h + 9; v = z + 2; n = p + 13. If x = 10, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = x + 12, which gives z = 22.\n2. Compute v using v = z + 2, which gives v = 24.\n3. Compute p using p = v + 16, which gives p = 40.\n4. Compute n using n = p + 13, which gives n = 53.\n5. Compute l using l = n + 20, which gives l = 73.\n6. Compute s using s = l + 18, which gives s = 91.\n\nThus, the final answer is s = \\boxed{91}.",
"index": 997,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 12; o = y + 5; l = n + 20; p = v + 16; f = o + 17; h = f + 15; y = x + 19; s = l + 18; e = c + 12; x = 10; c = h + 9; v = z + 2; n = p + 13. If x = 10, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 20", "j": "i + 15", "v": "j + 18", "g": "v + 16", "z": "g + 2", "w": "z + 9", "q": "b + 3", "e": "q + 8", "x": "e + 12", "l": "x + 10", "m": "l + 15", "c": "m + 5", "b": 1}, "premises": {"b": 1}, "target": "w"}, "answer": {"steps": [["i", "b + 20", 21], ["j", "i + 15", 36], ["v", "j + 18", 54], ["g", "v + 16", 70], ["z", "g + 2", 72], ["w", "z + 9", 81]], "target_var_name": "w", "target_value": 81, "value_dict": {"b": 1, "i": 21, "j": 36, "v": 54, "g": 70, "z": 72, "w": 81}, "is_reverse": false}} | 998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 8; c = m + 5; w = z + 9; v = j + 18; z = g + 2; g = v + 16; b = 1; m = l + 15; l = x + 10; j = i + 15; i = b + 20; x = e + 12; q = b + 3. If b = 1, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = b + 20, which gives i = 21.\n2. Compute j using j = i + 15, which gives j = 36.\n3. Compute v using v = j + 18, which gives v = 54.\n4. Compute g using g = v + 16, which gives g = 70.\n5. Compute z using z = g + 2, which gives z = 72.\n6. Compute w using w = z + 9, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 8; c = m + 5; w = z + 9; v = j + 18; z = g + 2; g = v + 16; b = 1; m = l + 15; l = x + 10; j = i + 15; i = b + 20; x = e + 12; q = b + 3. If b = 1, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 17", "m": "h + 15", "c": "m + 6", "t": "c + 19", "y": "t + 19", "g": "y + 17", "o": "v + 14", "b": "o + 15", "z": "b + 16", "d": "z + 3", "x": "d + 17", "l": "x + 10", "v": 7}, "premises": {"v": 7}, "target": "g"}, "answer": {"steps": [["h", "v + 17", 24], ["m", "h + 15", 39], ["c", "m + 6", 45], ["t", "c + 19", 64], ["y", "t + 19", 83], ["g", "y + 17", 100]], "target_var_name": "g", "target_value": 100, "value_dict": {"v": 7, "h": 24, "m": 39, "c": 45, "t": 64, "y": 83, "g": 100}, "is_reverse": false}} | 999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 6; m = h + 15; d = z + 3; z = b + 16; g = y + 17; t = c + 19; o = v + 14; y = t + 19; x = d + 17; b = o + 15; v = 7; h = v + 17; l = x + 10. If v = 7, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = v + 17, which gives h = 24.\n2. Compute m using m = h + 15, which gives m = 39.\n3. Compute c using c = m + 6, which gives c = 45.\n4. Compute t using t = c + 19, which gives t = 64.\n5. Compute y using y = t + 19, which gives y = 83.\n6. Compute g using g = y + 17, which gives g = 100.\n\nThus, the final answer is g = \\boxed{100}.",
"index": 999,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 6; m = h + 15; d = z + 3; z = b + 16; g = y + 17; t = c + 19; o = v + 14; y = t + 19; x = d + 17; b = o + 15; v = 7; h = v + 17; l = x + 10. If v = 7, determine the value of g.",
"split": "train"
} |
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