meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"v": "o + 18", "b": "v + 4", "w": "b + 2", "k": "w + 5", "p": "k + 3", "g": "p + 20", "f": "o + 1", "d": "f + 8", "i": "d + 16", "z": "i + 5", "a": "z + 7", "h": "a + 14", "o": 19}, "premises": {"o": 19}, "target": "g"}, "answer": {"steps": [["p", "k + 3", "k + 23"], ["k", "w + 5", "w + 28"], ["w", "b + 2", "b + 30"], ["b", "v + 4", "v + 34"], ["v", "o + 18", "o + 52"], ["o", 19, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"o": 19}, "is_reverse": true}} | 5,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 1; k = w + 5; d = f + 8; v = o + 18; z = i + 5; a = z + 7; h = a + 14; b = v + 4; i = d + 16; p = k + 3; g = p + 20; w = b + 2; o = 19. Given that o = 19, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 3 to g, which gives g = k + 23.\n2. Substitute k = w + 5 to g, which gives g = w + 28.\n3. Substitute w = b + 2 to g, which gives g = b + 30.\n4. Substitute b = v + 4 to g, which gives g = v + 34.\n5. Substitute v = o + 18 to g, which gives g = o + 52.\n6. Substitute o = 19 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 5700,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 1; k = w + 5; d = f + 8; v = o + 18; z = i + 5; a = z + 7; h = a + 14; b = v + 4; i = d + 16; p = k + 3; g = p + 20; w = b + 2; o = 19. Given that o = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 19", "p": "d + 13", "a": "p + 19", "x": "a + 10", "r": "x + 9", "z": "r + 9", "y": "e + 8", "i": "y + 2", "q": "i + 4", "m": "q + 3", "t": "m + 1", "j": "t + 13", "e": 7}, "premises": {"e": 7}, "target": "z"}, "answer": {"steps": [["r", "x + 9", "x + 18"], ["x", "a + 10", "a + 28"], ["a", "p + 19", "p + 47"], ["p", "d + 13", "d + 60"], ["d", "e + 19", "e + 79"], ["e", 7, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"e": 7}, "is_reverse": true}} | 5,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 4; d = e + 19; y = e + 8; j = t + 13; t = m + 1; z = r + 9; x = a + 10; a = p + 19; m = q + 3; p = d + 13; r = x + 9; e = 7; i = y + 2. If e = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 9 to z, which gives z = x + 18.\n2. Substitute x = a + 10 to z, which gives z = a + 28.\n3. Substitute a = p + 19 to z, which gives z = p + 47.\n4. Substitute p = d + 13 to z, which gives z = d + 60.\n5. Substitute d = e + 19 to z, which gives z = e + 79.\n6. Substitute e = 7 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 5701,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 4; d = e + 19; y = e + 8; j = t + 13; t = m + 1; z = r + 9; x = a + 10; a = p + 19; m = q + 3; p = d + 13; r = x + 9; e = 7; i = y + 2. If e = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 20", "a": "c + 7", "f": "a + 16", "m": "f + 17", "w": "m + 20", "l": "w + 20", "g": "x + 17", "v": "g + 2", "o": "v + 7", "u": "o + 13", "i": "u + 10", "k": "i + 2", "x": 10}, "premises": {"x": 10}, "target": "l"}, "answer": {"steps": [["w", "m + 20", "m + 40"], ["m", "f + 17", "f + 57"], ["f", "a + 16", "a + 73"], ["a", "c + 7", "c + 80"], ["c", "x + 20", "x + 100"], ["x", 10, "110"]], "target_var_name": "l", "target_value": 110, "value_dict": {"x": 10}, "is_reverse": true}} | 5,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 17; a = c + 7; x = 10; w = m + 20; l = w + 20; o = v + 7; k = i + 2; v = g + 2; g = x + 17; u = o + 13; c = x + 20; f = a + 16; i = u + 10. If x = 10, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 20 to l, which gives l = m + 40.\n2. Substitute m = f + 17 to l, which gives l = f + 57.\n3. Substitute f = a + 16 to l, which gives l = a + 73.\n4. Substitute a = c + 7 to l, which gives l = c + 80.\n5. Substitute c = x + 20 to l, which gives l = x + 100.\n6. Substitute x = 10 to l, which gives l = 110.\n\nThus, the final answer is l = \\boxed{110}.",
"index": 5702,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 17; a = c + 7; x = 10; w = m + 20; l = w + 20; o = v + 7; k = i + 2; v = g + 2; g = x + 17; u = o + 13; c = x + 20; f = a + 16; i = u + 10. If x = 10, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 1", "v": "w + 6", "p": "v + 7", "l": "p + 19", "i": "l + 19", "u": "i + 5", "a": "t + 11", "h": "a + 20", "q": "h + 18", "m": "q + 15", "z": "m + 13", "j": "z + 12", "t": 20}, "premises": {"t": 20}, "target": "u"}, "answer": {"steps": [["i", "l + 19", "l + 24"], ["l", "p + 19", "p + 43"], ["p", "v + 7", "v + 50"], ["v", "w + 6", "w + 56"], ["w", "t + 1", "t + 57"], ["t", 20, "77"]], "target_var_name": "u", "target_value": 77, "value_dict": {"t": 20}, "is_reverse": true}} | 5,703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 15; t = 20; l = p + 19; z = m + 13; q = h + 18; p = v + 7; h = a + 20; u = i + 5; i = l + 19; w = t + 1; a = t + 11; v = w + 6; j = z + 12. If t = 20, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 19 to u, which gives u = l + 24.\n2. Substitute l = p + 19 to u, which gives u = p + 43.\n3. Substitute p = v + 7 to u, which gives u = v + 50.\n4. Substitute v = w + 6 to u, which gives u = w + 56.\n5. Substitute w = t + 1 to u, which gives u = t + 57.\n6. Substitute t = 20 to u, which gives u = 77.\n\nThus, the final answer is u = \\boxed{77}.",
"index": 5703,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 15; t = 20; l = p + 19; z = m + 13; q = h + 18; p = v + 7; h = a + 20; u = i + 5; i = l + 19; w = t + 1; a = t + 11; v = w + 6; j = z + 12. If t = 20, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 9", "h": "b + 19", "e": "h + 4", "q": "e + 4", "w": "q + 20", "j": "w + 7", "r": "z + 16", "k": "r + 2", "y": "k + 17", "p": "y + 9", "t": "p + 5", "a": "t + 18", "z": 4}, "premises": {"z": 4}, "target": "j"}, "answer": {"steps": [["w", "q + 20", "q + 27"], ["q", "e + 4", "e + 31"], ["e", "h + 4", "h + 35"], ["h", "b + 19", "b + 54"], ["b", "z + 9", "z + 63"], ["z", 4, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"z": 4}, "is_reverse": true}} | 5,704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 19; y = k + 17; k = r + 2; w = q + 20; q = e + 4; b = z + 9; r = z + 16; z = 4; e = h + 4; p = y + 9; t = p + 5; j = w + 7; a = t + 18. If z = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 20 to j, which gives j = q + 27.\n2. Substitute q = e + 4 to j, which gives j = e + 31.\n3. Substitute e = h + 4 to j, which gives j = h + 35.\n4. Substitute h = b + 19 to j, which gives j = b + 54.\n5. Substitute b = z + 9 to j, which gives j = z + 63.\n6. Substitute z = 4 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 5704,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 19; y = k + 17; k = r + 2; w = q + 20; q = e + 4; b = z + 9; r = z + 16; z = 4; e = h + 4; p = y + 9; t = p + 5; j = w + 7; a = t + 18. If z = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 7", "c": "d + 12", "o": "c + 14", "u": "o + 6", "a": "u + 14", "h": "a + 17", "q": "l + 5", "n": "q + 5", "r": "n + 14", "s": "r + 12", "j": "s + 7", "i": "j + 10", "l": 12}, "premises": {"l": 12}, "target": "h"}, "answer": {"steps": [["a", "u + 14", "u + 31"], ["u", "o + 6", "o + 37"], ["o", "c + 14", "c + 51"], ["c", "d + 12", "d + 63"], ["d", "l + 7", "l + 70"], ["l", 12, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"l": 12}, "is_reverse": true}} | 5,705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = n + 14; u = o + 6; l = 12; j = s + 7; o = c + 14; d = l + 7; n = q + 5; q = l + 5; h = a + 17; s = r + 12; c = d + 12; i = j + 10; a = u + 14. If l = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 14 to h, which gives h = u + 31.\n2. Substitute u = o + 6 to h, which gives h = o + 37.\n3. Substitute o = c + 14 to h, which gives h = c + 51.\n4. Substitute c = d + 12 to h, which gives h = d + 63.\n5. Substitute d = l + 7 to h, which gives h = l + 70.\n6. Substitute l = 12 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 5705,
"question": "Consider a system of variables where each variable is defined as follows: r = n + 14; u = o + 6; l = 12; j = s + 7; o = c + 14; d = l + 7; n = q + 5; q = l + 5; h = a + 17; s = r + 12; c = d + 12; i = j + 10; a = u + 14. If l = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 6", "e": "s + 20", "g": "e + 13", "a": "g + 14", "q": "a + 16", "p": "q + 3", "x": "m + 12", "b": "x + 17", "y": "b + 17", "o": "y + 7", "w": "o + 14", "i": "w + 16", "m": 13}, "premises": {"m": 13}, "target": "p"}, "answer": {"steps": [["q", "a + 16", "a + 19"], ["a", "g + 14", "g + 33"], ["g", "e + 13", "e + 46"], ["e", "s + 20", "s + 66"], ["s", "m + 6", "m + 72"], ["m", 13, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"m": 13}, "is_reverse": true}} | 5,706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 13; i = w + 16; y = b + 17; b = x + 17; p = q + 3; w = o + 14; x = m + 12; q = a + 16; s = m + 6; m = 13; o = y + 7; e = s + 20; a = g + 14. If m = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 16 to p, which gives p = a + 19.\n2. Substitute a = g + 14 to p, which gives p = g + 33.\n3. Substitute g = e + 13 to p, which gives p = e + 46.\n4. Substitute e = s + 20 to p, which gives p = s + 66.\n5. Substitute s = m + 6 to p, which gives p = m + 72.\n6. Substitute m = 13 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 5706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 13; i = w + 16; y = b + 17; b = x + 17; p = q + 3; w = o + 14; x = m + 12; q = a + 16; s = m + 6; m = 13; o = y + 7; e = s + 20; a = g + 14. If m = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 6", "w": "s + 20", "l": "w + 10", "z": "l + 20", "q": "z + 11", "d": "q + 2", "b": "e + 3", "p": "b + 15", "a": "p + 12", "k": "a + 18", "j": "k + 19", "x": "j + 20", "e": 4}, "premises": {"e": 4}, "target": "d"}, "answer": {"steps": [["q", "z + 11", "z + 13"], ["z", "l + 20", "l + 33"], ["l", "w + 10", "w + 43"], ["w", "s + 20", "s + 63"], ["s", "e + 6", "e + 69"], ["e", 4, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"e": 4}, "is_reverse": true}} | 5,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 20; z = l + 20; p = b + 15; b = e + 3; q = z + 11; d = q + 2; s = e + 6; l = w + 10; j = k + 19; a = p + 12; w = s + 20; k = a + 18; e = 4. Given that e = 4, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 11 to d, which gives d = z + 13.\n2. Substitute z = l + 20 to d, which gives d = l + 33.\n3. Substitute l = w + 10 to d, which gives d = w + 43.\n4. Substitute w = s + 20 to d, which gives d = s + 63.\n5. Substitute s = e + 6 to d, which gives d = e + 69.\n6. Substitute e = 4 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 5707,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 20; z = l + 20; p = b + 15; b = e + 3; q = z + 11; d = q + 2; s = e + 6; l = w + 10; j = k + 19; a = p + 12; w = s + 20; k = a + 18; e = 4. Given that e = 4, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 12", "r": "q + 9", "i": "r + 5", "m": "i + 11", "h": "m + 10", "a": "h + 1", "o": "b + 1", "e": "o + 18", "k": "e + 5", "g": "k + 13", "j": "g + 18", "w": "j + 18", "b": 4}, "premises": {"b": 4}, "target": "a"}, "answer": {"steps": [["h", "m + 10", "m + 11"], ["m", "i + 11", "i + 22"], ["i", "r + 5", "r + 27"], ["r", "q + 9", "q + 36"], ["q", "b + 12", "b + 48"], ["b", 4, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"b": 4}, "is_reverse": true}} | 5,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 1; k = e + 5; w = j + 18; q = b + 12; g = k + 13; m = i + 11; o = b + 1; b = 4; i = r + 5; h = m + 10; e = o + 18; r = q + 9; j = g + 18. If b = 4, what is the resulting 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. Substitute h = m + 10 to a, which gives a = m + 11.\n2. Substitute m = i + 11 to a, which gives a = i + 22.\n3. Substitute i = r + 5 to a, which gives a = r + 27.\n4. Substitute r = q + 9 to a, which gives a = q + 36.\n5. Substitute q = b + 12 to a, which gives a = b + 48.\n6. Substitute b = 4 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 5708,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = h + 1; k = e + 5; w = j + 18; q = b + 12; g = k + 13; m = i + 11; o = b + 1; b = 4; i = r + 5; h = m + 10; e = o + 18; r = q + 9; j = g + 18. If b = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 3", "b": "s + 6", "d": "b + 6", "h": "d + 12", "p": "h + 18", "i": "p + 18", "r": "k + 1", "z": "r + 16", "x": "z + 13", "m": "x + 2", "o": "m + 20", "v": "o + 13", "k": 5}, "premises": {"k": 5}, "target": "i"}, "answer": {"steps": [["p", "h + 18", "h + 36"], ["h", "d + 12", "d + 48"], ["d", "b + 6", "b + 54"], ["b", "s + 6", "s + 60"], ["s", "k + 3", "k + 63"], ["k", 5, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"k": 5}, "is_reverse": true}} | 5,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 6; v = o + 13; b = s + 6; m = x + 2; i = p + 18; k = 5; o = m + 20; x = z + 13; h = d + 12; r = k + 1; p = h + 18; s = k + 3; z = r + 16. If k = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 18 to i, which gives i = h + 36.\n2. Substitute h = d + 12 to i, which gives i = d + 48.\n3. Substitute d = b + 6 to i, which gives i = b + 54.\n4. Substitute b = s + 6 to i, which gives i = s + 60.\n5. Substitute s = k + 3 to i, which gives i = k + 63.\n6. Substitute k = 5 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 5709,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 6; v = o + 13; b = s + 6; m = x + 2; i = p + 18; k = 5; o = m + 20; x = z + 13; h = d + 12; r = k + 1; p = h + 18; s = k + 3; z = r + 16. If k = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 9", "b": "o + 16", "j": "b + 15", "d": "j + 4", "r": "d + 9", "k": "r + 1", "e": "q + 9", "c": "e + 11", "n": "c + 8", "p": "n + 14", "f": "p + 6", "h": "f + 8", "q": 19}, "premises": {"q": 19}, "target": "k"}, "answer": {"steps": [["r", "d + 9", "d + 10"], ["d", "j + 4", "j + 14"], ["j", "b + 15", "b + 29"], ["b", "o + 16", "o + 45"], ["o", "q + 9", "q + 54"], ["q", 19, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"q": 19}, "is_reverse": true}} | 5,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 1; q = 19; b = o + 16; f = p + 6; d = j + 4; j = b + 15; r = d + 9; h = f + 8; p = n + 14; c = e + 11; e = q + 9; o = q + 9; n = c + 8. If q = 19, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 9 to k, which gives k = d + 10.\n2. Substitute d = j + 4 to k, which gives k = j + 14.\n3. Substitute j = b + 15 to k, which gives k = b + 29.\n4. Substitute b = o + 16 to k, which gives k = o + 45.\n5. Substitute o = q + 9 to k, which gives k = q + 54.\n6. Substitute q = 19 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 5710,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 1; q = 19; b = o + 16; f = p + 6; d = j + 4; j = b + 15; r = d + 9; h = f + 8; p = n + 14; c = e + 11; e = q + 9; o = q + 9; n = c + 8. If q = 19, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 13", "a": "s + 7", "c": "a + 6", "l": "c + 12", "h": "l + 6", "y": "h + 8", "m": "q + 9", "d": "m + 10", "k": "d + 3", "w": "k + 2", "b": "w + 4", "f": "b + 1", "q": 2}, "premises": {"q": 2}, "target": "y"}, "answer": {"steps": [["h", "l + 6", "l + 14"], ["l", "c + 12", "c + 26"], ["c", "a + 6", "a + 32"], ["a", "s + 7", "s + 39"], ["s", "q + 13", "q + 52"], ["q", 2, "54"]], "target_var_name": "y", "target_value": 54, "value_dict": {"q": 2}, "is_reverse": true}} | 5,711 | 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 = l + 6; s = q + 13; c = a + 6; y = h + 8; m = q + 9; b = w + 4; q = 2; a = s + 7; f = b + 1; k = d + 3; d = m + 10; w = k + 2; l = c + 12. If q = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 6 to y, which gives y = l + 14.\n2. Substitute l = c + 12 to y, which gives y = c + 26.\n3. Substitute c = a + 6 to y, which gives y = a + 32.\n4. Substitute a = s + 7 to y, which gives y = s + 39.\n5. Substitute s = q + 13 to y, which gives y = q + 52.\n6. Substitute q = 2 to y, which gives y = 54.\n\nThus, the final answer is y = \\boxed{54}.",
"index": 5711,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = l + 6; s = q + 13; c = a + 6; y = h + 8; m = q + 9; b = w + 4; q = 2; a = s + 7; f = b + 1; k = d + 3; d = m + 10; w = k + 2; l = c + 12. If q = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 13", "l": "s + 18", "a": "l + 10", "b": "a + 13", "x": "b + 15", "o": "x + 6", "q": "m + 14", "j": "q + 5", "t": "j + 20", "e": "t + 4", "y": "e + 10", "p": "y + 15", "m": 8}, "premises": {"m": 8}, "target": "o"}, "answer": {"steps": [["x", "b + 15", "b + 21"], ["b", "a + 13", "a + 34"], ["a", "l + 10", "l + 44"], ["l", "s + 18", "s + 62"], ["s", "m + 13", "m + 75"], ["m", 8, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"m": 8}, "is_reverse": true}} | 5,712 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 4; j = q + 5; a = l + 10; t = j + 20; l = s + 18; x = b + 15; p = y + 15; b = a + 13; y = e + 10; s = m + 13; m = 8; o = x + 6; q = m + 14. Given that m = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 15 to o, which gives o = b + 21.\n2. Substitute b = a + 13 to o, which gives o = a + 34.\n3. Substitute a = l + 10 to o, which gives o = l + 44.\n4. Substitute l = s + 18 to o, which gives o = s + 62.\n5. Substitute s = m + 13 to o, which gives o = m + 75.\n6. Substitute m = 8 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 5712,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 4; j = q + 5; a = l + 10; t = j + 20; l = s + 18; x = b + 15; p = y + 15; b = a + 13; y = e + 10; s = m + 13; m = 8; o = x + 6; q = m + 14. Given that m = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 15", "r": "p + 6", "m": "r + 2", "h": "m + 14", "n": "h + 6", "x": "n + 14", "u": "q + 13", "g": "u + 13", "t": "g + 13", "c": "t + 16", "i": "c + 1", "j": "i + 8", "q": 8}, "premises": {"q": 8}, "target": "x"}, "answer": {"steps": [["n", "h + 6", "h + 20"], ["h", "m + 14", "m + 34"], ["m", "r + 2", "r + 36"], ["r", "p + 6", "p + 42"], ["p", "q + 15", "q + 57"], ["q", 8, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"q": 8}, "is_reverse": true}} | 5,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 13; x = n + 14; h = m + 14; g = u + 13; t = g + 13; j = i + 8; i = c + 1; q = 8; c = t + 16; r = p + 6; m = r + 2; n = h + 6; p = q + 15. If q = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 6 to x, which gives x = h + 20.\n2. Substitute h = m + 14 to x, which gives x = m + 34.\n3. Substitute m = r + 2 to x, which gives x = r + 36.\n4. Substitute r = p + 6 to x, which gives x = p + 42.\n5. Substitute p = q + 15 to x, which gives x = q + 57.\n6. Substitute q = 8 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 5713,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 13; x = n + 14; h = m + 14; g = u + 13; t = g + 13; j = i + 8; i = c + 1; q = 8; c = t + 16; r = p + 6; m = r + 2; n = h + 6; p = q + 15. If q = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 17", "r": "x + 2", "i": "r + 10", "y": "i + 18", "c": "y + 16", "g": "c + 19", "h": "w + 10", "d": "h + 2", "t": "d + 14", "a": "t + 8", "b": "a + 17", "p": "b + 8", "w": 5}, "premises": {"w": 5}, "target": "g"}, "answer": {"steps": [["c", "y + 16", "y + 35"], ["y", "i + 18", "i + 53"], ["i", "r + 10", "r + 63"], ["r", "x + 2", "x + 65"], ["x", "w + 17", "w + 82"], ["w", 5, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"w": 5}, "is_reverse": true}} | 5,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 10; g = c + 19; r = x + 2; b = a + 17; t = d + 14; d = h + 2; a = t + 8; i = r + 10; c = y + 16; p = b + 8; y = i + 18; w = 5; x = w + 17. If w = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 16 to g, which gives g = y + 35.\n2. Substitute y = i + 18 to g, which gives g = i + 53.\n3. Substitute i = r + 10 to g, which gives g = r + 63.\n4. Substitute r = x + 2 to g, which gives g = x + 65.\n5. Substitute x = w + 17 to g, which gives g = w + 82.\n6. Substitute w = 5 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 5714,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 10; g = c + 19; r = x + 2; b = a + 17; t = d + 14; d = h + 2; a = t + 8; i = r + 10; c = y + 16; p = b + 8; y = i + 18; w = 5; x = w + 17. If w = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 20", "o": "f + 20", "e": "o + 9", "l": "e + 4", "v": "l + 18", "h": "v + 15", "q": "c + 9", "i": "q + 15", "n": "i + 4", "y": "n + 8", "p": "y + 18", "b": "p + 13", "c": 9}, "premises": {"c": 9}, "target": "h"}, "answer": {"steps": [["v", "l + 18", "l + 33"], ["l", "e + 4", "e + 37"], ["e", "o + 9", "o + 46"], ["o", "f + 20", "f + 66"], ["f", "c + 20", "c + 86"], ["c", 9, "95"]], "target_var_name": "h", "target_value": 95, "value_dict": {"c": 9}, "is_reverse": true}} | 5,715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = c + 9; o = f + 20; l = e + 4; c = 9; p = y + 18; n = i + 4; v = l + 18; b = p + 13; i = q + 15; e = o + 9; f = c + 20; y = n + 8; h = v + 15. If c = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 18 to h, which gives h = l + 33.\n2. Substitute l = e + 4 to h, which gives h = e + 37.\n3. Substitute e = o + 9 to h, which gives h = o + 46.\n4. Substitute o = f + 20 to h, which gives h = f + 66.\n5. Substitute f = c + 20 to h, which gives h = c + 86.\n6. Substitute c = 9 to h, which gives h = 95.\n\nThus, the final answer is h = \\boxed{95}.",
"index": 5715,
"question": "Consider a system of variables where each variable is defined as follows: q = c + 9; o = f + 20; l = e + 4; c = 9; p = y + 18; n = i + 4; v = l + 18; b = p + 13; i = q + 15; e = o + 9; f = c + 20; y = n + 8; h = v + 15. If c = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 14", "u": "c + 12", "h": "u + 19", "m": "h + 14", "l": "m + 18", "v": "l + 17", "t": "g + 8", "z": "t + 17", "y": "z + 20", "k": "y + 4", "q": "k + 14", "e": "q + 5", "g": 4}, "premises": {"g": 4}, "target": "v"}, "answer": {"steps": [["l", "m + 18", "m + 35"], ["m", "h + 14", "h + 49"], ["h", "u + 19", "u + 68"], ["u", "c + 12", "c + 80"], ["c", "g + 14", "g + 94"], ["g", 4, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"g": 4}, "is_reverse": true}} | 5,716 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 19; c = g + 14; g = 4; q = k + 14; t = g + 8; l = m + 18; z = t + 17; k = y + 4; e = q + 5; u = c + 12; m = h + 14; v = l + 17; y = z + 20. If g = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 18 to v, which gives v = m + 35.\n2. Substitute m = h + 14 to v, which gives v = h + 49.\n3. Substitute h = u + 19 to v, which gives v = u + 68.\n4. Substitute u = c + 12 to v, which gives v = c + 80.\n5. Substitute c = g + 14 to v, which gives v = g + 94.\n6. Substitute g = 4 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 5716,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 19; c = g + 14; g = 4; q = k + 14; t = g + 8; l = m + 18; z = t + 17; k = y + 4; e = q + 5; u = c + 12; m = h + 14; v = l + 17; y = z + 20. If g = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 3", "w": "m + 11", "c": "w + 13", "x": "c + 7", "j": "x + 12", "s": "j + 14", "i": "k + 17", "p": "i + 14", "y": "p + 15", "a": "y + 18", "q": "a + 12", "n": "q + 7", "k": 11}, "premises": {"k": 11}, "target": "s"}, "answer": {"steps": [["j", "x + 12", "x + 26"], ["x", "c + 7", "c + 33"], ["c", "w + 13", "w + 46"], ["w", "m + 11", "m + 57"], ["m", "k + 3", "k + 60"], ["k", 11, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"k": 11}, "is_reverse": true}} | 5,717 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 11; s = j + 14; c = w + 13; i = k + 17; m = k + 3; y = p + 15; a = y + 18; p = i + 14; q = a + 12; n = q + 7; j = x + 12; w = m + 11; x = c + 7. If k = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 12 to s, which gives s = x + 26.\n2. Substitute x = c + 7 to s, which gives s = c + 33.\n3. Substitute c = w + 13 to s, which gives s = w + 46.\n4. Substitute w = m + 11 to s, which gives s = m + 57.\n5. Substitute m = k + 3 to s, which gives s = k + 60.\n6. Substitute k = 11 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 5717,
"question": "Consider a system of variables where each variable is defined as follows: k = 11; s = j + 14; c = w + 13; i = k + 17; m = k + 3; y = p + 15; a = y + 18; p = i + 14; q = a + 12; n = q + 7; j = x + 12; w = m + 11; x = c + 7. If k = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 10", "l": "x + 19", "p": "l + 1", "y": "p + 10", "u": "y + 6", "e": "u + 10", "k": "b + 10", "r": "k + 4", "g": "r + 15", "j": "g + 5", "v": "j + 15", "q": "v + 12", "b": 6}, "premises": {"b": 6}, "target": "e"}, "answer": {"steps": [["u", "y + 6", "y + 16"], ["y", "p + 10", "p + 26"], ["p", "l + 1", "l + 27"], ["l", "x + 19", "x + 46"], ["x", "b + 10", "b + 56"], ["b", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"b": 6}, "is_reverse": true}} | 5,718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 19; k = b + 10; v = j + 15; e = u + 10; r = k + 4; p = l + 1; y = p + 10; u = y + 6; q = v + 12; x = b + 10; j = g + 5; g = r + 15; b = 6. Given that b = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 6 to e, which gives e = y + 16.\n2. Substitute y = p + 10 to e, which gives e = p + 26.\n3. Substitute p = l + 1 to e, which gives e = l + 27.\n4. Substitute l = x + 19 to e, which gives e = x + 46.\n5. Substitute x = b + 10 to e, which gives e = b + 56.\n6. Substitute b = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 5718,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 19; k = b + 10; v = j + 15; e = u + 10; r = k + 4; p = l + 1; y = p + 10; u = y + 6; q = v + 12; x = b + 10; j = g + 5; g = r + 15; b = 6. Given that b = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 11", "p": "n + 16", "l": "p + 15", "q": "l + 9", "x": "q + 6", "s": "x + 1", "v": "u + 14", "w": "v + 12", "k": "w + 17", "g": "k + 3", "o": "g + 14", "j": "o + 1", "u": 12}, "premises": {"u": 12}, "target": "s"}, "answer": {"steps": [["x", "q + 6", "q + 7"], ["q", "l + 9", "l + 16"], ["l", "p + 15", "p + 31"], ["p", "n + 16", "n + 47"], ["n", "u + 11", "u + 58"], ["u", 12, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"u": 12}, "is_reverse": true}} | 5,719 | 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 = v + 12; o = g + 14; k = w + 17; v = u + 14; s = x + 1; g = k + 3; j = o + 1; p = n + 16; n = u + 11; x = q + 6; u = 12; l = p + 15; q = l + 9. If u = 12, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 6 to s, which gives s = q + 7.\n2. Substitute q = l + 9 to s, which gives s = l + 16.\n3. Substitute l = p + 15 to s, which gives s = p + 31.\n4. Substitute p = n + 16 to s, which gives s = n + 47.\n5. Substitute n = u + 11 to s, which gives s = u + 58.\n6. Substitute u = 12 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 5719,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = v + 12; o = g + 14; k = w + 17; v = u + 14; s = x + 1; g = k + 3; j = o + 1; p = n + 16; n = u + 11; x = q + 6; u = 12; l = p + 15; q = l + 9. If u = 12, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 5", "p": "f + 12", "d": "p + 4", "o": "d + 1", "q": "o + 8", "x": "q + 19", "t": "r + 4", "c": "t + 8", "a": "c + 18", "z": "a + 8", "i": "z + 14", "w": "i + 9", "r": 1}, "premises": {"r": 1}, "target": "x"}, "answer": {"steps": [["q", "o + 8", "o + 27"], ["o", "d + 1", "d + 28"], ["d", "p + 4", "p + 32"], ["p", "f + 12", "f + 44"], ["f", "r + 5", "r + 49"], ["r", 1, "50"]], "target_var_name": "x", "target_value": 50, "value_dict": {"r": 1}, "is_reverse": true}} | 5,720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 4; f = r + 5; r = 1; p = f + 12; x = q + 19; t = r + 4; o = d + 1; c = t + 8; i = z + 14; a = c + 18; w = i + 9; z = a + 8; q = o + 8. If r = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 8 to x, which gives x = o + 27.\n2. Substitute o = d + 1 to x, which gives x = d + 28.\n3. Substitute d = p + 4 to x, which gives x = p + 32.\n4. Substitute p = f + 12 to x, which gives x = f + 44.\n5. Substitute f = r + 5 to x, which gives x = r + 49.\n6. Substitute r = 1 to x, which gives x = 50.\n\nThus, the final answer is x = \\boxed{50}.",
"index": 5720,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 4; f = r + 5; r = 1; p = f + 12; x = q + 19; t = r + 4; o = d + 1; c = t + 8; i = z + 14; a = c + 18; w = i + 9; z = a + 8; q = o + 8. If r = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 6", "r": "g + 20", "t": "r + 11", "h": "t + 8", "n": "h + 19", "x": "n + 4", "j": "c + 8", "s": "j + 2", "z": "s + 18", "a": "z + 16", "d": "a + 4", "q": "d + 20", "c": 12}, "premises": {"c": 12}, "target": "x"}, "answer": {"steps": [["n", "h + 19", "h + 23"], ["h", "t + 8", "t + 31"], ["t", "r + 11", "r + 42"], ["r", "g + 20", "g + 62"], ["g", "c + 6", "c + 68"], ["c", 12, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"c": 12}, "is_reverse": true}} | 5,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 11; s = j + 2; c = 12; a = z + 16; r = g + 20; n = h + 19; j = c + 8; x = n + 4; d = a + 4; z = s + 18; q = d + 20; g = c + 6; h = t + 8. If c = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 19 to x, which gives x = h + 23.\n2. Substitute h = t + 8 to x, which gives x = t + 31.\n3. Substitute t = r + 11 to x, which gives x = r + 42.\n4. Substitute r = g + 20 to x, which gives x = g + 62.\n5. Substitute g = c + 6 to x, which gives x = c + 68.\n6. Substitute c = 12 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 5721,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 11; s = j + 2; c = 12; a = z + 16; r = g + 20; n = h + 19; j = c + 8; x = n + 4; d = a + 4; z = s + 18; q = d + 20; g = c + 6; h = t + 8. If c = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 17", "y": "b + 4", "a": "y + 18", "f": "a + 11", "s": "f + 6", "i": "s + 6", "k": "e + 5", "d": "k + 2", "v": "d + 17", "j": "v + 3", "h": "j + 13", "u": "h + 15", "e": 6}, "premises": {"e": 6}, "target": "i"}, "answer": {"steps": [["s", "f + 6", "f + 12"], ["f", "a + 11", "a + 23"], ["a", "y + 18", "y + 41"], ["y", "b + 4", "b + 45"], ["b", "e + 17", "e + 62"], ["e", 6, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"e": 6}, "is_reverse": true}} | 5,722 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 17; u = h + 15; j = v + 3; d = k + 2; f = a + 11; e = 6; i = s + 6; y = b + 4; h = j + 13; s = f + 6; v = d + 17; a = y + 18; k = e + 5. Given that e = 6, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 6 to i, which gives i = f + 12.\n2. Substitute f = a + 11 to i, which gives i = a + 23.\n3. Substitute a = y + 18 to i, which gives i = y + 41.\n4. Substitute y = b + 4 to i, which gives i = b + 45.\n5. Substitute b = e + 17 to i, which gives i = e + 62.\n6. Substitute e = 6 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 5722,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 17; u = h + 15; j = v + 3; d = k + 2; f = a + 11; e = 6; i = s + 6; y = b + 4; h = j + 13; s = f + 6; v = d + 17; a = y + 18; k = e + 5. Given that e = 6, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 15", "r": "t + 1", "y": "r + 14", "o": "y + 3", "q": "o + 2", "e": "q + 13", "l": "z + 10", "x": "l + 16", "f": "x + 13", "s": "f + 11", "g": "s + 15", "i": "g + 3", "z": 7}, "premises": {"z": 7}, "target": "e"}, "answer": {"steps": [["q", "o + 2", "o + 15"], ["o", "y + 3", "y + 18"], ["y", "r + 14", "r + 32"], ["r", "t + 1", "t + 33"], ["t", "z + 15", "z + 48"], ["z", 7, "55"]], "target_var_name": "e", "target_value": 55, "value_dict": {"z": 7}, "is_reverse": true}} | 5,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 15; g = s + 15; o = y + 3; q = o + 2; e = q + 13; r = t + 1; s = f + 11; z = 7; y = r + 14; l = z + 10; i = g + 3; f = x + 13; x = l + 16. Given that z = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 2 to e, which gives e = o + 15.\n2. Substitute o = y + 3 to e, which gives e = y + 18.\n3. Substitute y = r + 14 to e, which gives e = r + 32.\n4. Substitute r = t + 1 to e, which gives e = t + 33.\n5. Substitute t = z + 15 to e, which gives e = z + 48.\n6. Substitute z = 7 to e, which gives e = 55.\n\nThus, the final answer is e = \\boxed{55}.",
"index": 5723,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 15; g = s + 15; o = y + 3; q = o + 2; e = q + 13; r = t + 1; s = f + 11; z = 7; y = r + 14; l = z + 10; i = g + 3; f = x + 13; x = l + 16. Given that z = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 3", "g": "b + 16", "m": "g + 2", "o": "m + 10", "r": "o + 18", "z": "r + 5", "q": "c + 16", "u": "q + 19", "i": "u + 12", "a": "i + 18", "d": "a + 16", "x": "d + 18", "c": 6}, "premises": {"c": 6}, "target": "z"}, "answer": {"steps": [["r", "o + 18", "o + 23"], ["o", "m + 10", "m + 33"], ["m", "g + 2", "g + 35"], ["g", "b + 16", "b + 51"], ["b", "c + 3", "c + 54"], ["c", 6, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"c": 6}, "is_reverse": true}} | 5,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 3; u = q + 19; c = 6; r = o + 18; q = c + 16; g = b + 16; x = d + 18; m = g + 2; o = m + 10; a = i + 18; z = r + 5; d = a + 16; i = u + 12. If c = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 18 to z, which gives z = o + 23.\n2. Substitute o = m + 10 to z, which gives z = m + 33.\n3. Substitute m = g + 2 to z, which gives z = g + 35.\n4. Substitute g = b + 16 to z, which gives z = b + 51.\n5. Substitute b = c + 3 to z, which gives z = c + 54.\n6. Substitute c = 6 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 5724,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 3; u = q + 19; c = 6; r = o + 18; q = c + 16; g = b + 16; x = d + 18; m = g + 2; o = m + 10; a = i + 18; z = r + 5; d = a + 16; i = u + 12. If c = 6, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 16", "f": "s + 11", "r": "f + 8", "i": "r + 8", "y": "i + 13", "o": "y + 13", "d": "t + 15", "b": "d + 8", "g": "b + 7", "j": "g + 4", "v": "j + 20", "q": "v + 13", "t": 15}, "premises": {"t": 15}, "target": "o"}, "answer": {"steps": [["y", "i + 13", "i + 26"], ["i", "r + 8", "r + 34"], ["r", "f + 8", "f + 42"], ["f", "s + 11", "s + 53"], ["s", "t + 16", "t + 69"], ["t", 15, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"t": 15}, "is_reverse": true}} | 5,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 8; b = d + 8; s = t + 16; f = s + 11; d = t + 15; q = v + 13; t = 15; i = r + 8; o = y + 13; j = g + 4; v = j + 20; y = i + 13; g = b + 7. Given that t = 15, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 13 to o, which gives o = i + 26.\n2. Substitute i = r + 8 to o, which gives o = r + 34.\n3. Substitute r = f + 8 to o, which gives o = f + 42.\n4. Substitute f = s + 11 to o, which gives o = s + 53.\n5. Substitute s = t + 16 to o, which gives o = t + 69.\n6. Substitute t = 15 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 5725,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 8; b = d + 8; s = t + 16; f = s + 11; d = t + 15; q = v + 13; t = 15; i = r + 8; o = y + 13; j = g + 4; v = j + 20; y = i + 13; g = b + 7. Given that t = 15, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 6", "u": "m + 3", "h": "u + 17", "t": "h + 8", "y": "t + 14", "v": "y + 19", "f": "i + 4", "x": "f + 16", "q": "x + 7", "c": "q + 19", "a": "c + 10", "b": "a + 4", "i": 17}, "premises": {"i": 17}, "target": "v"}, "answer": {"steps": [["y", "t + 14", "t + 33"], ["t", "h + 8", "h + 41"], ["h", "u + 17", "u + 58"], ["u", "m + 3", "m + 61"], ["m", "i + 6", "i + 67"], ["i", 17, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"i": 17}, "is_reverse": true}} | 5,726 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = q + 19; v = y + 19; y = t + 14; h = u + 17; x = f + 16; u = m + 3; a = c + 10; m = i + 6; q = x + 7; i = 17; f = i + 4; b = a + 4; t = h + 8. Given that i = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 14 to v, which gives v = t + 33.\n2. Substitute t = h + 8 to v, which gives v = h + 41.\n3. Substitute h = u + 17 to v, which gives v = u + 58.\n4. Substitute u = m + 3 to v, which gives v = m + 61.\n5. Substitute m = i + 6 to v, which gives v = i + 67.\n6. Substitute i = 17 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 5726,
"question": "Suppose a collection of variables is related by the following definitions: c = q + 19; v = y + 19; y = t + 14; h = u + 17; x = f + 16; u = m + 3; a = c + 10; m = i + 6; q = x + 7; i = 17; f = i + 4; b = a + 4; t = h + 8. Given that i = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 15", "j": "s + 18", "o": "j + 17", "f": "o + 7", "e": "f + 2", "z": "e + 5", "m": "c + 1", "i": "m + 14", "u": "i + 16", "w": "u + 19", "y": "w + 7", "h": "y + 8", "c": 5}, "premises": {"c": 5}, "target": "z"}, "answer": {"steps": [["e", "f + 2", "f + 7"], ["f", "o + 7", "o + 14"], ["o", "j + 17", "j + 31"], ["j", "s + 18", "s + 49"], ["s", "c + 15", "c + 64"], ["c", 5, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"c": 5}, "is_reverse": true}} | 5,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 17; y = w + 7; h = y + 8; f = o + 7; c = 5; s = c + 15; w = u + 19; u = i + 16; i = m + 14; e = f + 2; z = e + 5; m = c + 1; j = s + 18. Given that c = 5, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 2 to z, which gives z = f + 7.\n2. Substitute f = o + 7 to z, which gives z = o + 14.\n3. Substitute o = j + 17 to z, which gives z = j + 31.\n4. Substitute j = s + 18 to z, which gives z = s + 49.\n5. Substitute s = c + 15 to z, which gives z = c + 64.\n6. Substitute c = 5 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 5727,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 17; y = w + 7; h = y + 8; f = o + 7; c = 5; s = c + 15; w = u + 19; u = i + 16; i = m + 14; e = f + 2; z = e + 5; m = c + 1; j = s + 18. Given that c = 5, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "i + 18", "j": "l + 2", "v": "j + 4", "g": "v + 15", "z": "g + 9", "d": "z + 10", "q": "i + 14", "y": "q + 10", "k": "y + 13", "f": "k + 4", "n": "f + 2", "a": "n + 17", "i": 5}, "premises": {"i": 5}, "target": "d"}, "answer": {"steps": [["z", "g + 9", "g + 19"], ["g", "v + 15", "v + 34"], ["v", "j + 4", "j + 38"], ["j", "l + 2", "l + 40"], ["l", "i + 18", "i + 58"], ["i", 5, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"i": 5}, "is_reverse": true}} | 5,728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 5; v = j + 4; q = i + 14; l = i + 18; d = z + 10; y = q + 10; g = v + 15; j = l + 2; f = k + 4; a = n + 17; k = y + 13; n = f + 2; z = g + 9. If i = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 9 to d, which gives d = g + 19.\n2. Substitute g = v + 15 to d, which gives d = v + 34.\n3. Substitute v = j + 4 to d, which gives d = j + 38.\n4. Substitute j = l + 2 to d, which gives d = l + 40.\n5. Substitute l = i + 18 to d, which gives d = i + 58.\n6. Substitute i = 5 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 5728,
"question": "Consider a system of variables where each variable is defined as follows: i = 5; v = j + 4; q = i + 14; l = i + 18; d = z + 10; y = q + 10; g = v + 15; j = l + 2; f = k + 4; a = n + 17; k = y + 13; n = f + 2; z = g + 9. If i = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 1", "l": "u + 12", "o": "l + 16", "n": "o + 10", "v": "n + 6", "q": "v + 18", "d": "k + 14", "g": "d + 8", "w": "g + 12", "j": "w + 5", "y": "j + 18", "e": "y + 14", "k": 13}, "premises": {"k": 13}, "target": "q"}, "answer": {"steps": [["v", "n + 6", "n + 24"], ["n", "o + 10", "o + 34"], ["o", "l + 16", "l + 50"], ["l", "u + 12", "u + 62"], ["u", "k + 1", "k + 63"], ["k", 13, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"k": 13}, "is_reverse": true}} | 5,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = k + 1; g = d + 8; q = v + 18; e = y + 14; l = u + 12; y = j + 18; n = o + 10; v = n + 6; w = g + 12; o = l + 16; d = k + 14; k = 13; j = w + 5. If k = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 6 to q, which gives q = n + 24.\n2. Substitute n = o + 10 to q, which gives q = o + 34.\n3. Substitute o = l + 16 to q, which gives q = l + 50.\n4. Substitute l = u + 12 to q, which gives q = u + 62.\n5. Substitute u = k + 1 to q, which gives q = k + 63.\n6. Substitute k = 13 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 5729,
"question": "Consider a system of variables where each variable is defined as follows: u = k + 1; g = d + 8; q = v + 18; e = y + 14; l = u + 12; y = j + 18; n = o + 10; v = n + 6; w = g + 12; o = l + 16; d = k + 14; k = 13; j = w + 5. If k = 13, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 9", "x": "e + 11", "i": "x + 10", "w": "i + 7", "a": "w + 17", "k": "a + 4", "n": "s + 5", "f": "n + 1", "c": "f + 13", "r": "c + 3", "m": "r + 14", "y": "m + 13", "s": 2}, "premises": {"s": 2}, "target": "k"}, "answer": {"steps": [["a", "w + 17", "w + 21"], ["w", "i + 7", "i + 28"], ["i", "x + 10", "x + 38"], ["x", "e + 11", "e + 49"], ["e", "s + 9", "s + 58"], ["s", 2, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"s": 2}, "is_reverse": true}} | 5,730 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 9; i = x + 10; r = c + 3; f = n + 1; c = f + 13; x = e + 11; s = 2; a = w + 17; m = r + 14; n = s + 5; y = m + 13; k = a + 4; w = i + 7. Given that s = 2, find the 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. Substitute a = w + 17 to k, which gives k = w + 21.\n2. Substitute w = i + 7 to k, which gives k = i + 28.\n3. Substitute i = x + 10 to k, which gives k = x + 38.\n4. Substitute x = e + 11 to k, which gives k = e + 49.\n5. Substitute e = s + 9 to k, which gives k = s + 58.\n6. Substitute s = 2 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 5730,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 9; i = x + 10; r = c + 3; f = n + 1; c = f + 13; x = e + 11; s = 2; a = w + 17; m = r + 14; n = s + 5; y = m + 13; k = a + 4; w = i + 7. Given that s = 2, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 8", "a": "c + 14", "j": "a + 5", "b": "j + 3", "e": "b + 13", "g": "e + 15", "d": "y + 16", "r": "d + 3", "v": "r + 14", "i": "v + 9", "u": "i + 10", "n": "u + 18", "y": 13}, "premises": {"y": 13}, "target": "g"}, "answer": {"steps": [["e", "b + 13", "b + 28"], ["b", "j + 3", "j + 31"], ["j", "a + 5", "a + 36"], ["a", "c + 14", "c + 50"], ["c", "y + 8", "y + 58"], ["y", 13, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"y": 13}, "is_reverse": true}} | 5,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 13; i = v + 9; r = d + 3; a = c + 14; g = e + 15; v = r + 14; u = i + 10; b = j + 3; y = 13; n = u + 18; c = y + 8; j = a + 5; d = y + 16. If y = 13, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 13 to g, which gives g = b + 28.\n2. Substitute b = j + 3 to g, which gives g = j + 31.\n3. Substitute j = a + 5 to g, which gives g = a + 36.\n4. Substitute a = c + 14 to g, which gives g = c + 50.\n5. Substitute c = y + 8 to g, which gives g = y + 58.\n6. Substitute y = 13 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 5731,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 13; i = v + 9; r = d + 3; a = c + 14; g = e + 15; v = r + 14; u = i + 10; b = j + 3; y = 13; n = u + 18; c = y + 8; j = a + 5; d = y + 16. If y = 13, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 6", "h": "r + 8", "j": "h + 20", "l": "j + 13", "f": "l + 18", "b": "f + 2", "q": "i + 4", "m": "q + 6", "a": "m + 17", "t": "a + 11", "g": "t + 14", "d": "g + 1", "i": 10}, "premises": {"i": 10}, "target": "b"}, "answer": {"steps": [["f", "l + 18", "l + 20"], ["l", "j + 13", "j + 33"], ["j", "h + 20", "h + 53"], ["h", "r + 8", "r + 61"], ["r", "i + 6", "i + 67"], ["i", 10, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"i": 10}, "is_reverse": true}} | 5,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 1; h = r + 8; t = a + 11; b = f + 2; g = t + 14; q = i + 4; j = h + 20; m = q + 6; i = 10; a = m + 17; f = l + 18; l = j + 13; r = i + 6. If i = 10, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 18 to b, which gives b = l + 20.\n2. Substitute l = j + 13 to b, which gives b = j + 33.\n3. Substitute j = h + 20 to b, which gives b = h + 53.\n4. Substitute h = r + 8 to b, which gives b = r + 61.\n5. Substitute r = i + 6 to b, which gives b = i + 67.\n6. Substitute i = 10 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 5732,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 1; h = r + 8; t = a + 11; b = f + 2; g = t + 14; q = i + 4; j = h + 20; m = q + 6; i = 10; a = m + 17; f = l + 18; l = j + 13; r = i + 6. If i = 10, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 18", "e": "x + 5", "v": "e + 10", "q": "v + 5", "s": "q + 3", "i": "s + 3", "f": "a + 16", "r": "f + 8", "t": "r + 5", "d": "t + 7", "g": "d + 13", "u": "g + 7", "a": 10}, "premises": {"a": 10}, "target": "i"}, "answer": {"steps": [["s", "q + 3", "q + 6"], ["q", "v + 5", "v + 11"], ["v", "e + 10", "e + 21"], ["e", "x + 5", "x + 26"], ["x", "a + 18", "a + 44"], ["a", 10, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"a": 10}, "is_reverse": true}} | 5,733 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 7; r = f + 8; f = a + 16; g = d + 13; e = x + 5; i = s + 3; v = e + 10; x = a + 18; t = r + 5; u = g + 7; q = v + 5; s = q + 3; a = 10. If a = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 3 to i, which gives i = q + 6.\n2. Substitute q = v + 5 to i, which gives i = v + 11.\n3. Substitute v = e + 10 to i, which gives i = e + 21.\n4. Substitute e = x + 5 to i, which gives i = x + 26.\n5. Substitute x = a + 18 to i, which gives i = a + 44.\n6. Substitute a = 10 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 5733,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 7; r = f + 8; f = a + 16; g = d + 13; e = x + 5; i = s + 3; v = e + 10; x = a + 18; t = r + 5; u = g + 7; q = v + 5; s = q + 3; a = 10. If a = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 2", "x": "s + 11", "y": "x + 15", "c": "y + 18", "g": "c + 16", "k": "g + 3", "u": "a + 15", "b": "u + 3", "r": "b + 3", "e": "r + 12", "q": "e + 2", "j": "q + 17", "a": 18}, "premises": {"a": 18}, "target": "k"}, "answer": {"steps": [["g", "c + 16", "c + 19"], ["c", "y + 18", "y + 37"], ["y", "x + 15", "x + 52"], ["x", "s + 11", "s + 63"], ["s", "a + 2", "a + 65"], ["a", 18, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"a": 18}, "is_reverse": true}} | 5,734 | 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 + 3; e = r + 12; b = u + 3; j = q + 17; x = s + 11; s = a + 2; g = c + 16; u = a + 15; q = e + 2; k = g + 3; a = 18; c = y + 18; y = x + 15. If a = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 16 to k, which gives k = c + 19.\n2. Substitute c = y + 18 to k, which gives k = y + 37.\n3. Substitute y = x + 15 to k, which gives k = x + 52.\n4. Substitute x = s + 11 to k, which gives k = s + 63.\n5. Substitute s = a + 2 to k, which gives k = a + 65.\n6. Substitute a = 18 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 5734,
"question": "Consider a system of variables where each variable is defined as follows: r = b + 3; e = r + 12; b = u + 3; j = q + 17; x = s + 11; s = a + 2; g = c + 16; u = a + 15; q = e + 2; k = g + 3; a = 18; c = y + 18; y = x + 15. If a = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 4", "o": "s + 15", "r": "o + 5", "d": "r + 9", "h": "d + 6", "q": "h + 15", "j": "p + 10", "g": "j + 11", "b": "g + 2", "c": "b + 17", "w": "c + 18", "z": "w + 13", "p": 15}, "premises": {"p": 15}, "target": "q"}, "answer": {"steps": [["h", "d + 6", "d + 21"], ["d", "r + 9", "r + 30"], ["r", "o + 5", "o + 35"], ["o", "s + 15", "s + 50"], ["s", "p + 4", "p + 54"], ["p", 15, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"p": 15}, "is_reverse": true}} | 5,735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 18; p = 15; o = s + 15; q = h + 15; r = o + 5; h = d + 6; s = p + 4; j = p + 10; g = j + 11; d = r + 9; b = g + 2; c = b + 17; z = w + 13. If p = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 6 to q, which gives q = d + 21.\n2. Substitute d = r + 9 to q, which gives q = r + 30.\n3. Substitute r = o + 5 to q, which gives q = o + 35.\n4. Substitute o = s + 15 to q, which gives q = s + 50.\n5. Substitute s = p + 4 to q, which gives q = p + 54.\n6. Substitute p = 15 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 5735,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 18; p = 15; o = s + 15; q = h + 15; r = o + 5; h = d + 6; s = p + 4; j = p + 10; g = j + 11; d = r + 9; b = g + 2; c = b + 17; z = w + 13. If p = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 10", "x": "c + 3", "m": "x + 4", "d": "m + 17", "g": "d + 2", "f": "g + 4", "t": "z + 16", "v": "t + 2", "p": "v + 5", "i": "p + 2", "q": "i + 10", "k": "q + 13", "z": 12}, "premises": {"z": 12}, "target": "f"}, "answer": {"steps": [["g", "d + 2", "d + 6"], ["d", "m + 17", "m + 23"], ["m", "x + 4", "x + 27"], ["x", "c + 3", "c + 30"], ["c", "z + 10", "z + 40"], ["z", 12, "52"]], "target_var_name": "f", "target_value": 52, "value_dict": {"z": 12}, "is_reverse": true}} | 5,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 16; m = x + 4; q = i + 10; v = t + 2; g = d + 2; d = m + 17; z = 12; f = g + 4; c = z + 10; x = c + 3; i = p + 2; p = v + 5; k = q + 13. If z = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 2 to f, which gives f = d + 6.\n2. Substitute d = m + 17 to f, which gives f = m + 23.\n3. Substitute m = x + 4 to f, which gives f = x + 27.\n4. Substitute x = c + 3 to f, which gives f = c + 30.\n5. Substitute c = z + 10 to f, which gives f = z + 40.\n6. Substitute z = 12 to f, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 5736,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 16; m = x + 4; q = i + 10; v = t + 2; g = d + 2; d = m + 17; z = 12; f = g + 4; c = z + 10; x = c + 3; i = p + 2; p = v + 5; k = q + 13. If z = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 10", "v": "b + 8", "k": "v + 6", "t": "k + 9", "n": "t + 15", "c": "n + 15", "r": "p + 15", "y": "r + 7", "i": "y + 8", "z": "i + 19", "g": "z + 3", "u": "g + 2", "p": 9}, "premises": {"p": 9}, "target": "c"}, "answer": {"steps": [["n", "t + 15", "t + 30"], ["t", "k + 9", "k + 39"], ["k", "v + 6", "v + 45"], ["v", "b + 8", "b + 53"], ["b", "p + 10", "p + 63"], ["p", 9, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"p": 9}, "is_reverse": true}} | 5,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = i + 19; v = b + 8; t = k + 9; r = p + 15; n = t + 15; y = r + 7; b = p + 10; g = z + 3; p = 9; i = y + 8; u = g + 2; k = v + 6; c = n + 15. Given that p = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 15 to c, which gives c = t + 30.\n2. Substitute t = k + 9 to c, which gives c = k + 39.\n3. Substitute k = v + 6 to c, which gives c = v + 45.\n4. Substitute v = b + 8 to c, which gives c = b + 53.\n5. Substitute b = p + 10 to c, which gives c = p + 63.\n6. Substitute p = 9 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 5737,
"question": "Suppose a collection of variables is related by the following definitions: z = i + 19; v = b + 8; t = k + 9; r = p + 15; n = t + 15; y = r + 7; b = p + 10; g = z + 3; p = 9; i = y + 8; u = g + 2; k = v + 6; c = n + 15. Given that p = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 3", "m": "l + 20", "n": "m + 6", "y": "n + 6", "o": "y + 17", "j": "o + 2", "a": "f + 13", "c": "a + 20", "b": "c + 12", "d": "b + 16", "q": "d + 4", "t": "q + 1", "f": 13}, "premises": {"f": 13}, "target": "j"}, "answer": {"steps": [["o", "y + 17", "y + 19"], ["y", "n + 6", "n + 25"], ["n", "m + 6", "m + 31"], ["m", "l + 20", "l + 51"], ["l", "f + 3", "f + 54"], ["f", 13, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"f": 13}, "is_reverse": true}} | 5,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 16; m = l + 20; a = f + 13; n = m + 6; y = n + 6; q = d + 4; t = q + 1; j = o + 2; l = f + 3; f = 13; o = y + 17; b = c + 12; c = a + 20. If f = 13, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 17 to j, which gives j = y + 19.\n2. Substitute y = n + 6 to j, which gives j = n + 25.\n3. Substitute n = m + 6 to j, which gives j = m + 31.\n4. Substitute m = l + 20 to j, which gives j = l + 51.\n5. Substitute l = f + 3 to j, which gives j = f + 54.\n6. Substitute f = 13 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 5738,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 16; m = l + 20; a = f + 13; n = m + 6; y = n + 6; q = d + 4; t = q + 1; j = o + 2; l = f + 3; f = 13; o = y + 17; b = c + 12; c = a + 20. If f = 13, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 16", "e": "b + 10", "q": "e + 18", "d": "q + 7", "s": "d + 17", "j": "s + 4", "u": "x + 16", "n": "u + 18", "f": "n + 9", "i": "f + 12", "g": "i + 2", "p": "g + 5", "x": 18}, "premises": {"x": 18}, "target": "j"}, "answer": {"steps": [["s", "d + 17", "d + 21"], ["d", "q + 7", "q + 28"], ["q", "e + 18", "e + 46"], ["e", "b + 10", "b + 56"], ["b", "x + 16", "x + 72"], ["x", 18, "90"]], "target_var_name": "j", "target_value": 90, "value_dict": {"x": 18}, "is_reverse": true}} | 5,739 | 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 + 16; j = s + 4; s = d + 17; f = n + 9; q = e + 18; d = q + 7; u = x + 16; i = f + 12; n = u + 18; g = i + 2; p = g + 5; e = b + 10; x = 18. If x = 18, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 17 to j, which gives j = d + 21.\n2. Substitute d = q + 7 to j, which gives j = q + 28.\n3. Substitute q = e + 18 to j, which gives j = e + 46.\n4. Substitute e = b + 10 to j, which gives j = b + 56.\n5. Substitute b = x + 16 to j, which gives j = x + 72.\n6. Substitute x = 18 to j, which gives j = 90.\n\nThus, the final answer is j = \\boxed{90}.",
"index": 5739,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 16; j = s + 4; s = d + 17; f = n + 9; q = e + 18; d = q + 7; u = x + 16; i = f + 12; n = u + 18; g = i + 2; p = g + 5; e = b + 10; x = 18. If x = 18, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 4", "p": "s + 13", "j": "p + 10", "v": "j + 5", "g": "v + 12", "a": "g + 17", "w": "y + 10", "e": "w + 17", "q": "e + 7", "k": "q + 10", "z": "k + 13", "x": "z + 8", "y": 15}, "premises": {"y": 15}, "target": "a"}, "answer": {"steps": [["g", "v + 12", "v + 29"], ["v", "j + 5", "j + 34"], ["j", "p + 10", "p + 44"], ["p", "s + 13", "s + 57"], ["s", "y + 4", "y + 61"], ["y", 15, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"y": 15}, "is_reverse": true}} | 5,740 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = j + 5; z = k + 13; q = e + 7; w = y + 10; a = g + 17; y = 15; k = q + 10; p = s + 13; s = y + 4; x = z + 8; j = p + 10; e = w + 17; g = v + 12. Given that y = 15, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 12 to a, which gives a = v + 29.\n2. Substitute v = j + 5 to a, which gives a = j + 34.\n3. Substitute j = p + 10 to a, which gives a = p + 44.\n4. Substitute p = s + 13 to a, which gives a = s + 57.\n5. Substitute s = y + 4 to a, which gives a = y + 61.\n6. Substitute y = 15 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 5740,
"question": "Suppose a collection of variables is related by the following definitions: v = j + 5; z = k + 13; q = e + 7; w = y + 10; a = g + 17; y = 15; k = q + 10; p = s + 13; s = y + 4; x = z + 8; j = p + 10; e = w + 17; g = v + 12. Given that y = 15, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 15", "w": "k + 18", "v": "w + 2", "u": "v + 15", "e": "u + 4", "g": "e + 18", "c": "q + 7", "s": "c + 2", "r": "s + 9", "d": "r + 17", "n": "d + 7", "p": "n + 20", "q": 16}, "premises": {"q": 16}, "target": "g"}, "answer": {"steps": [["e", "u + 4", "u + 22"], ["u", "v + 15", "v + 37"], ["v", "w + 2", "w + 39"], ["w", "k + 18", "k + 57"], ["k", "q + 15", "q + 72"], ["q", 16, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"q": 16}, "is_reverse": true}} | 5,741 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = n + 20; n = d + 7; k = q + 15; d = r + 17; c = q + 7; g = e + 18; e = u + 4; r = s + 9; q = 16; u = v + 15; s = c + 2; v = w + 2; w = k + 18. Given that q = 16, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 4 to g, which gives g = u + 22.\n2. Substitute u = v + 15 to g, which gives g = v + 37.\n3. Substitute v = w + 2 to g, which gives g = w + 39.\n4. Substitute w = k + 18 to g, which gives g = k + 57.\n5. Substitute k = q + 15 to g, which gives g = q + 72.\n6. Substitute q = 16 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 5741,
"question": "Suppose a collection of variables is related by the following definitions: p = n + 20; n = d + 7; k = q + 15; d = r + 17; c = q + 7; g = e + 18; e = u + 4; r = s + 9; q = 16; u = v + 15; s = c + 2; v = w + 2; w = k + 18. Given that q = 16, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 1", "i": "l + 7", "h": "i + 3", "s": "h + 20", "e": "s + 9", "a": "e + 17", "u": "q + 14", "v": "u + 4", "r": "v + 7", "w": "r + 17", "k": "w + 8", "z": "k + 7", "q": 10}, "premises": {"q": 10}, "target": "a"}, "answer": {"steps": [["e", "s + 9", "s + 26"], ["s", "h + 20", "h + 46"], ["h", "i + 3", "i + 49"], ["i", "l + 7", "l + 56"], ["l", "q + 1", "q + 57"], ["q", 10, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"q": 10}, "is_reverse": true}} | 5,742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 7; s = h + 20; i = l + 7; a = e + 17; e = s + 9; k = w + 8; z = k + 7; u = q + 14; l = q + 1; w = r + 17; h = i + 3; q = 10; v = u + 4. If q = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 9 to a, which gives a = s + 26.\n2. Substitute s = h + 20 to a, which gives a = h + 46.\n3. Substitute h = i + 3 to a, which gives a = i + 49.\n4. Substitute i = l + 7 to a, which gives a = l + 56.\n5. Substitute l = q + 1 to a, which gives a = q + 57.\n6. Substitute q = 10 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 5742,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 7; s = h + 20; i = l + 7; a = e + 17; e = s + 9; k = w + 8; z = k + 7; u = q + 14; l = q + 1; w = r + 17; h = i + 3; q = 10; v = u + 4. If q = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 1", "a": "z + 9", "q": "a + 18", "d": "q + 20", "x": "d + 4", "j": "x + 13", "y": "h + 8", "w": "y + 13", "b": "w + 1", "l": "b + 9", "r": "l + 19", "m": "r + 6", "h": 5}, "premises": {"h": 5}, "target": "j"}, "answer": {"steps": [["x", "d + 4", "d + 17"], ["d", "q + 20", "q + 37"], ["q", "a + 18", "a + 55"], ["a", "z + 9", "z + 64"], ["z", "h + 1", "h + 65"], ["h", 5, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"h": 5}, "is_reverse": true}} | 5,743 | 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 = h + 1; q = a + 18; y = h + 8; d = q + 20; w = y + 13; l = b + 9; x = d + 4; h = 5; m = r + 6; a = z + 9; r = l + 19; b = w + 1; j = x + 13. If h = 5, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 4 to j, which gives j = d + 17.\n2. Substitute d = q + 20 to j, which gives j = q + 37.\n3. Substitute q = a + 18 to j, which gives j = a + 55.\n4. Substitute a = z + 9 to j, which gives j = z + 64.\n5. Substitute z = h + 1 to j, which gives j = h + 65.\n6. Substitute h = 5 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 5743,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 1; q = a + 18; y = h + 8; d = q + 20; w = y + 13; l = b + 9; x = d + 4; h = 5; m = r + 6; a = z + 9; r = l + 19; b = w + 1; j = x + 13. If h = 5, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 2", "e": "w + 14", "l": "e + 14", "c": "l + 3", "s": "c + 20", "z": "s + 6", "r": "v + 8", "a": "r + 20", "y": "a + 8", "q": "y + 7", "d": "q + 10", "i": "d + 11", "v": 18}, "premises": {"v": 18}, "target": "z"}, "answer": {"steps": [["s", "c + 20", "c + 26"], ["c", "l + 3", "l + 29"], ["l", "e + 14", "e + 43"], ["e", "w + 14", "w + 57"], ["w", "v + 2", "v + 59"], ["v", 18, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"v": 18}, "is_reverse": true}} | 5,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 10; q = y + 7; e = w + 14; v = 18; s = c + 20; a = r + 20; y = a + 8; c = l + 3; i = d + 11; r = v + 8; l = e + 14; w = v + 2; z = s + 6. Given that v = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 20 to z, which gives z = c + 26.\n2. Substitute c = l + 3 to z, which gives z = l + 29.\n3. Substitute l = e + 14 to z, which gives z = e + 43.\n4. Substitute e = w + 14 to z, which gives z = w + 57.\n5. Substitute w = v + 2 to z, which gives z = v + 59.\n6. Substitute v = 18 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 5744,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 10; q = y + 7; e = w + 14; v = 18; s = c + 20; a = r + 20; y = a + 8; c = l + 3; i = d + 11; r = v + 8; l = e + 14; w = v + 2; z = s + 6. Given that v = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 3", "z": "v + 8", "i": "z + 19", "f": "i + 12", "t": "f + 7", "s": "t + 1", "j": "c + 14", "n": "j + 17", "u": "n + 14", "y": "u + 15", "m": "y + 17", "q": "m + 12", "c": 6}, "premises": {"c": 6}, "target": "s"}, "answer": {"steps": [["t", "f + 7", "f + 8"], ["f", "i + 12", "i + 20"], ["i", "z + 19", "z + 39"], ["z", "v + 8", "v + 47"], ["v", "c + 3", "c + 50"], ["c", 6, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"c": 6}, "is_reverse": true}} | 5,745 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 3; i = z + 19; t = f + 7; z = v + 8; m = y + 17; j = c + 14; q = m + 12; u = n + 14; s = t + 1; f = i + 12; n = j + 17; c = 6; y = u + 15. Given that c = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 7 to s, which gives s = f + 8.\n2. Substitute f = i + 12 to s, which gives s = i + 20.\n3. Substitute i = z + 19 to s, which gives s = z + 39.\n4. Substitute z = v + 8 to s, which gives s = v + 47.\n5. Substitute v = c + 3 to s, which gives s = c + 50.\n6. Substitute c = 6 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 5745,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 3; i = z + 19; t = f + 7; z = v + 8; m = y + 17; j = c + 14; q = m + 12; u = n + 14; s = t + 1; f = i + 12; n = j + 17; c = 6; y = u + 15. Given that c = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 13", "p": "h + 19", "z": "p + 1", "s": "z + 17", "k": "s + 4", "u": "k + 5", "m": "x + 8", "d": "m + 12", "y": "d + 19", "n": "y + 19", "t": "n + 14", "l": "t + 17", "x": 15}, "premises": {"x": 15}, "target": "u"}, "answer": {"steps": [["k", "s + 4", "s + 9"], ["s", "z + 17", "z + 26"], ["z", "p + 1", "p + 27"], ["p", "h + 19", "h + 46"], ["h", "x + 13", "x + 59"], ["x", 15, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"x": 15}, "is_reverse": true}} | 5,746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 1; p = h + 19; n = y + 19; d = m + 12; y = d + 19; u = k + 5; l = t + 17; t = n + 14; h = x + 13; k = s + 4; s = z + 17; m = x + 8; x = 15. If x = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 4 to u, which gives u = s + 9.\n2. Substitute s = z + 17 to u, which gives u = z + 26.\n3. Substitute z = p + 1 to u, which gives u = p + 27.\n4. Substitute p = h + 19 to u, which gives u = h + 46.\n5. Substitute h = x + 13 to u, which gives u = x + 59.\n6. Substitute x = 15 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 5746,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 1; p = h + 19; n = y + 19; d = m + 12; y = d + 19; u = k + 5; l = t + 17; t = n + 14; h = x + 13; k = s + 4; s = z + 17; m = x + 8; x = 15. If x = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 18", "e": "y + 13", "q": "e + 3", "g": "q + 16", "d": "g + 4", "k": "d + 3", "n": "z + 6", "c": "n + 19", "a": "c + 7", "h": "a + 14", "v": "h + 12", "r": "v + 9", "z": 15}, "premises": {"z": 15}, "target": "k"}, "answer": {"steps": [["d", "g + 4", "g + 7"], ["g", "q + 16", "q + 23"], ["q", "e + 3", "e + 26"], ["e", "y + 13", "y + 39"], ["y", "z + 18", "z + 57"], ["z", 15, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"z": 15}, "is_reverse": true}} | 5,747 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 18; v = h + 12; c = n + 19; z = 15; q = e + 3; h = a + 14; r = v + 9; e = y + 13; a = c + 7; d = g + 4; k = d + 3; g = q + 16; n = z + 6. If z = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 4 to k, which gives k = g + 7.\n2. Substitute g = q + 16 to k, which gives k = q + 23.\n3. Substitute q = e + 3 to k, which gives k = e + 26.\n4. Substitute e = y + 13 to k, which gives k = y + 39.\n5. Substitute y = z + 18 to k, which gives k = z + 57.\n6. Substitute z = 15 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 5747,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 18; v = h + 12; c = n + 19; z = 15; q = e + 3; h = a + 14; r = v + 9; e = y + 13; a = c + 7; d = g + 4; k = d + 3; g = q + 16; n = z + 6. If z = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 9", "d": "v + 13", "x": "d + 13", "r": "x + 1", "u": "r + 14", "p": "u + 4", "q": "t + 4", "h": "q + 10", "b": "h + 9", "a": "b + 4", "k": "a + 14", "g": "k + 10", "t": 15}, "premises": {"t": 15}, "target": "p"}, "answer": {"steps": [["u", "r + 14", "r + 18"], ["r", "x + 1", "x + 19"], ["x", "d + 13", "d + 32"], ["d", "v + 13", "v + 45"], ["v", "t + 9", "t + 54"], ["t", 15, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"t": 15}, "is_reverse": true}} | 5,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 9; x = d + 13; p = u + 4; a = b + 4; h = q + 10; b = h + 9; u = r + 14; g = k + 10; t = 15; q = t + 4; k = a + 14; r = x + 1; d = v + 13. If t = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 14 to p, which gives p = r + 18.\n2. Substitute r = x + 1 to p, which gives p = x + 19.\n3. Substitute x = d + 13 to p, which gives p = d + 32.\n4. Substitute d = v + 13 to p, which gives p = v + 45.\n5. Substitute v = t + 9 to p, which gives p = t + 54.\n6. Substitute t = 15 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 5748,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 9; x = d + 13; p = u + 4; a = b + 4; h = q + 10; b = h + 9; u = r + 14; g = k + 10; t = 15; q = t + 4; k = a + 14; r = x + 1; d = v + 13. If t = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 15", "q": "u + 11", "j": "q + 3", "x": "j + 6", "b": "x + 20", "n": "b + 20", "t": "z + 4", "o": "t + 3", "h": "o + 15", "k": "h + 8", "m": "k + 2", "i": "m + 16", "z": 11}, "premises": {"z": 11}, "target": "n"}, "answer": {"steps": [["b", "x + 20", "x + 40"], ["x", "j + 6", "j + 46"], ["j", "q + 3", "q + 49"], ["q", "u + 11", "u + 60"], ["u", "z + 15", "z + 75"], ["z", 11, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"z": 11}, "is_reverse": true}} | 5,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 20; j = q + 3; x = j + 6; q = u + 11; i = m + 16; u = z + 15; t = z + 4; n = b + 20; z = 11; h = o + 15; m = k + 2; o = t + 3; k = h + 8. If z = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 20 to n, which gives n = x + 40.\n2. Substitute x = j + 6 to n, which gives n = j + 46.\n3. Substitute j = q + 3 to n, which gives n = q + 49.\n4. Substitute q = u + 11 to n, which gives n = u + 60.\n5. Substitute u = z + 15 to n, which gives n = z + 75.\n6. Substitute z = 11 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 5749,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 20; j = q + 3; x = j + 6; q = u + 11; i = m + 16; u = z + 15; t = z + 4; n = b + 20; z = 11; h = o + 15; m = k + 2; o = t + 3; k = h + 8. If z = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 13", "v": "e + 3", "y": "v + 7", "a": "y + 2", "l": "a + 20", "f": "l + 4", "u": "j + 5", "r": "u + 17", "o": "r + 4", "b": "o + 13", "q": "b + 5", "z": "q + 12", "j": 17}, "premises": {"j": 17}, "target": "f"}, "answer": {"steps": [["l", "a + 20", "a + 24"], ["a", "y + 2", "y + 26"], ["y", "v + 7", "v + 33"], ["v", "e + 3", "e + 36"], ["e", "j + 13", "j + 49"], ["j", 17, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"j": 17}, "is_reverse": true}} | 5,750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 13; v = e + 3; r = u + 17; a = y + 2; o = r + 4; u = j + 5; y = v + 7; e = j + 13; f = l + 4; l = a + 20; q = b + 5; z = q + 12; j = 17. Given that j = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 20 to f, which gives f = a + 24.\n2. Substitute a = y + 2 to f, which gives f = y + 26.\n3. Substitute y = v + 7 to f, which gives f = v + 33.\n4. Substitute v = e + 3 to f, which gives f = e + 36.\n5. Substitute e = j + 13 to f, which gives f = j + 49.\n6. Substitute j = 17 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 5750,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 13; v = e + 3; r = u + 17; a = y + 2; o = r + 4; u = j + 5; y = v + 7; e = j + 13; f = l + 4; l = a + 20; q = b + 5; z = q + 12; j = 17. Given that j = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 13", "e": "j + 10", "y": "e + 20", "d": "y + 8", "r": "d + 3", "g": "r + 13", "h": "o + 3", "z": "h + 17", "p": "z + 7", "f": "p + 19", "q": "f + 4", "a": "q + 18", "o": 1}, "premises": {"o": 1}, "target": "g"}, "answer": {"steps": [["r", "d + 3", "d + 16"], ["d", "y + 8", "y + 24"], ["y", "e + 20", "e + 44"], ["e", "j + 10", "j + 54"], ["j", "o + 13", "o + 67"], ["o", 1, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"o": 1}, "is_reverse": true}} | 5,751 | 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 = f + 4; g = r + 13; d = y + 8; f = p + 19; h = o + 3; r = d + 3; a = q + 18; p = z + 7; o = 1; e = j + 10; z = h + 17; j = o + 13; y = e + 20. If o = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 3 to g, which gives g = d + 16.\n2. Substitute d = y + 8 to g, which gives g = y + 24.\n3. Substitute y = e + 20 to g, which gives g = e + 44.\n4. Substitute e = j + 10 to g, which gives g = j + 54.\n5. Substitute j = o + 13 to g, which gives g = o + 67.\n6. Substitute o = 1 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 5751,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 4; g = r + 13; d = y + 8; f = p + 19; h = o + 3; r = d + 3; a = q + 18; p = z + 7; o = 1; e = j + 10; z = h + 17; j = o + 13; y = e + 20. If o = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "s + 4", "c": "v + 18", "x": "c + 19", "u": "x + 4", "h": "u + 9", "a": "h + 16", "g": "s + 13", "p": "g + 19", "d": "p + 11", "f": "d + 3", "b": "f + 4", "j": "b + 2", "s": 20}, "premises": {"s": 20}, "target": "a"}, "answer": {"steps": [["h", "u + 9", "u + 25"], ["u", "x + 4", "x + 29"], ["x", "c + 19", "c + 48"], ["c", "v + 18", "v + 66"], ["v", "s + 4", "s + 70"], ["s", 20, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"s": 20}, "is_reverse": true}} | 5,752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 4; s = 20; a = h + 16; u = x + 4; j = b + 2; g = s + 13; v = s + 4; p = g + 19; f = d + 3; h = u + 9; x = c + 19; d = p + 11; c = v + 18. If s = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 9 to a, which gives a = u + 25.\n2. Substitute u = x + 4 to a, which gives a = x + 29.\n3. Substitute x = c + 19 to a, which gives a = c + 48.\n4. Substitute c = v + 18 to a, which gives a = v + 66.\n5. Substitute v = s + 4 to a, which gives a = s + 70.\n6. Substitute s = 20 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 5752,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 4; s = 20; a = h + 16; u = x + 4; j = b + 2; g = s + 13; v = s + 4; p = g + 19; f = d + 3; h = u + 9; x = c + 19; d = p + 11; c = v + 18. If s = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 18", "g": "l + 3", "p": "g + 2", "r": "p + 20", "c": "r + 8", "t": "c + 4", "m": "d + 11", "y": "m + 18", "b": "y + 11", "q": "b + 13", "x": "q + 12", "n": "x + 5", "d": 9}, "premises": {"d": 9}, "target": "t"}, "answer": {"steps": [["c", "r + 8", "r + 12"], ["r", "p + 20", "p + 32"], ["p", "g + 2", "g + 34"], ["g", "l + 3", "l + 37"], ["l", "d + 18", "d + 55"], ["d", 9, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"d": 9}, "is_reverse": true}} | 5,753 | 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 = b + 13; b = y + 11; p = g + 2; l = d + 18; m = d + 11; g = l + 3; x = q + 12; t = c + 4; r = p + 20; n = x + 5; d = 9; y = m + 18; c = r + 8. If d = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 8 to t, which gives t = r + 12.\n2. Substitute r = p + 20 to t, which gives t = p + 32.\n3. Substitute p = g + 2 to t, which gives t = g + 34.\n4. Substitute g = l + 3 to t, which gives t = l + 37.\n5. Substitute l = d + 18 to t, which gives t = d + 55.\n6. Substitute d = 9 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 5753,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 13; b = y + 11; p = g + 2; l = d + 18; m = d + 11; g = l + 3; x = q + 12; t = c + 4; r = p + 20; n = x + 5; d = 9; y = m + 18; c = r + 8. If d = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 18", "x": "j + 3", "w": "x + 12", "y": "w + 12", "c": "y + 10", "m": "c + 4", "u": "e + 18", "g": "u + 16", "n": "g + 19", "o": "n + 14", "l": "o + 13", "a": "l + 20", "e": 14}, "premises": {"e": 14}, "target": "m"}, "answer": {"steps": [["c", "y + 10", "y + 14"], ["y", "w + 12", "w + 26"], ["w", "x + 12", "x + 38"], ["x", "j + 3", "j + 41"], ["j", "e + 18", "e + 59"], ["e", 14, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"e": 14}, "is_reverse": true}} | 5,754 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = 14; m = c + 4; w = x + 12; g = u + 16; u = e + 18; n = g + 19; l = o + 13; a = l + 20; x = j + 3; c = y + 10; o = n + 14; y = w + 12; j = e + 18. If e = 14, determine 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. Substitute c = y + 10 to m, which gives m = y + 14.\n2. Substitute y = w + 12 to m, which gives m = w + 26.\n3. Substitute w = x + 12 to m, which gives m = x + 38.\n4. Substitute x = j + 3 to m, which gives m = j + 41.\n5. Substitute j = e + 18 to m, which gives m = e + 59.\n6. Substitute e = 14 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 5754,
"question": "Consider a system of variables where each variable is defined as follows: e = 14; m = c + 4; w = x + 12; g = u + 16; u = e + 18; n = g + 19; l = o + 13; a = l + 20; x = j + 3; c = y + 10; o = n + 14; y = w + 12; j = e + 18. If e = 14, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 12", "r": "z + 3", "m": "r + 17", "s": "m + 15", "v": "s + 13", "k": "v + 11", "f": "n + 15", "q": "f + 8", "x": "q + 5", "w": "x + 11", "b": "w + 6", "p": "b + 2", "n": 1}, "premises": {"n": 1}, "target": "k"}, "answer": {"steps": [["v", "s + 13", "s + 24"], ["s", "m + 15", "m + 39"], ["m", "r + 17", "r + 56"], ["r", "z + 3", "z + 59"], ["z", "n + 12", "n + 71"], ["n", 1, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"n": 1}, "is_reverse": true}} | 5,755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 8; w = x + 11; s = m + 15; b = w + 6; p = b + 2; n = 1; k = v + 11; f = n + 15; m = r + 17; v = s + 13; z = n + 12; x = q + 5; r = z + 3. Given that n = 1, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 13 to k, which gives k = s + 24.\n2. Substitute s = m + 15 to k, which gives k = m + 39.\n3. Substitute m = r + 17 to k, which gives k = r + 56.\n4. Substitute r = z + 3 to k, which gives k = z + 59.\n5. Substitute z = n + 12 to k, which gives k = n + 71.\n6. Substitute n = 1 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 5755,
"question": "Suppose a collection of variables is related by the following definitions: q = f + 8; w = x + 11; s = m + 15; b = w + 6; p = b + 2; n = 1; k = v + 11; f = n + 15; m = r + 17; v = s + 13; z = n + 12; x = q + 5; r = z + 3. Given that n = 1, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 20", "b": "o + 18", "q": "b + 2", "c": "q + 3", "r": "c + 20", "a": "r + 11", "h": "v + 19", "u": "h + 12", "j": "u + 10", "p": "j + 1", "t": "p + 13", "k": "t + 14", "v": 4}, "premises": {"v": 4}, "target": "a"}, "answer": {"steps": [["r", "c + 20", "c + 31"], ["c", "q + 3", "q + 34"], ["q", "b + 2", "b + 36"], ["b", "o + 18", "o + 54"], ["o", "v + 20", "v + 74"], ["v", 4, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"v": 4}, "is_reverse": true}} | 5,756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 11; j = u + 10; o = v + 20; p = j + 1; q = b + 2; b = o + 18; r = c + 20; u = h + 12; v = 4; c = q + 3; h = v + 19; k = t + 14; t = p + 13. If v = 4, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 20 to a, which gives a = c + 31.\n2. Substitute c = q + 3 to a, which gives a = q + 34.\n3. Substitute q = b + 2 to a, which gives a = b + 36.\n4. Substitute b = o + 18 to a, which gives a = o + 54.\n5. Substitute o = v + 20 to a, which gives a = v + 74.\n6. Substitute v = 4 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 5756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 11; j = u + 10; o = v + 20; p = j + 1; q = b + 2; b = o + 18; r = c + 20; u = h + 12; v = 4; c = q + 3; h = v + 19; k = t + 14; t = p + 13. If v = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "s + 7", "d": "t + 10", "w": "d + 6", "h": "w + 11", "p": "h + 4", "q": "p + 13", "c": "s + 5", "a": "c + 15", "i": "a + 12", "j": "i + 10", "x": "j + 7", "g": "x + 19", "s": 2}, "premises": {"s": 2}, "target": "q"}, "answer": {"steps": [["p", "h + 4", "h + 17"], ["h", "w + 11", "w + 28"], ["w", "d + 6", "d + 34"], ["d", "t + 10", "t + 44"], ["t", "s + 7", "s + 51"], ["s", 2, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"s": 2}, "is_reverse": true}} | 5,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = w + 11; t = s + 7; x = j + 7; j = i + 10; a = c + 15; s = 2; i = a + 12; p = h + 4; c = s + 5; q = p + 13; g = x + 19; w = d + 6; d = t + 10. Given that s = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 4 to q, which gives q = h + 17.\n2. Substitute h = w + 11 to q, which gives q = w + 28.\n3. Substitute w = d + 6 to q, which gives q = d + 34.\n4. Substitute d = t + 10 to q, which gives q = t + 44.\n5. Substitute t = s + 7 to q, which gives q = s + 51.\n6. Substitute s = 2 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 5757,
"question": "Suppose a collection of variables is related by the following definitions: h = w + 11; t = s + 7; x = j + 7; j = i + 10; a = c + 15; s = 2; i = a + 12; p = h + 4; c = s + 5; q = p + 13; g = x + 19; w = d + 6; d = t + 10. Given that s = 2, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 6", "a": "d + 20", "u": "a + 7", "j": "u + 2", "z": "j + 15", "c": "z + 12", "v": "g + 8", "o": "v + 20", "f": "o + 7", "b": "f + 20", "t": "b + 14", "w": "t + 6", "g": 20}, "premises": {"g": 20}, "target": "c"}, "answer": {"steps": [["z", "j + 15", "j + 27"], ["j", "u + 2", "u + 29"], ["u", "a + 7", "a + 36"], ["a", "d + 20", "d + 56"], ["d", "g + 6", "g + 62"], ["g", 20, "82"]], "target_var_name": "c", "target_value": 82, "value_dict": {"g": 20}, "is_reverse": true}} | 5,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = v + 20; a = d + 20; v = g + 8; b = f + 20; g = 20; f = o + 7; j = u + 2; z = j + 15; d = g + 6; w = t + 6; u = a + 7; t = b + 14; c = z + 12. If g = 20, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 15 to c, which gives c = j + 27.\n2. Substitute j = u + 2 to c, which gives c = u + 29.\n3. Substitute u = a + 7 to c, which gives c = a + 36.\n4. Substitute a = d + 20 to c, which gives c = d + 56.\n5. Substitute d = g + 6 to c, which gives c = g + 62.\n6. Substitute g = 20 to c, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 5758,
"question": "Consider a system of variables where each variable is defined as follows: o = v + 20; a = d + 20; v = g + 8; b = f + 20; g = 20; f = o + 7; j = u + 2; z = j + 15; d = g + 6; w = t + 6; u = a + 7; t = b + 14; c = z + 12. If g = 20, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 1", "b": "m + 19", "w": "b + 11", "h": "w + 16", "s": "h + 19", "q": "s + 2", "z": "g + 7", "y": "z + 3", "d": "y + 6", "j": "d + 18", "r": "j + 11", "l": "r + 9", "g": 3}, "premises": {"g": 3}, "target": "q"}, "answer": {"steps": [["s", "h + 19", "h + 21"], ["h", "w + 16", "w + 37"], ["w", "b + 11", "b + 48"], ["b", "m + 19", "m + 67"], ["m", "g + 1", "g + 68"], ["g", 3, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"g": 3}, "is_reverse": true}} | 5,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = g + 1; q = s + 2; g = 3; l = r + 9; j = d + 18; b = m + 19; r = j + 11; h = w + 16; z = g + 7; w = b + 11; d = y + 6; y = z + 3; s = h + 19. If g = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 19 to q, which gives q = h + 21.\n2. Substitute h = w + 16 to q, which gives q = w + 37.\n3. Substitute w = b + 11 to q, which gives q = b + 48.\n4. Substitute b = m + 19 to q, which gives q = m + 67.\n5. Substitute m = g + 1 to q, which gives q = g + 68.\n6. Substitute g = 3 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 5759,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 1; q = s + 2; g = 3; l = r + 9; j = d + 18; b = m + 19; r = j + 11; h = w + 16; z = g + 7; w = b + 11; d = y + 6; y = z + 3; s = h + 19. If g = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 3", "c": "k + 13", "s": "c + 9", "l": "s + 15", "r": "l + 19", "b": "r + 7", "a": "f + 11", "q": "a + 17", "w": "q + 6", "n": "w + 17", "o": "n + 19", "v": "o + 3", "f": 16}, "premises": {"f": 16}, "target": "b"}, "answer": {"steps": [["r", "l + 19", "l + 26"], ["l", "s + 15", "s + 41"], ["s", "c + 9", "c + 50"], ["c", "k + 13", "k + 63"], ["k", "f + 3", "f + 66"], ["f", 16, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"f": 16}, "is_reverse": true}} | 5,760 | 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 + 19; s = c + 9; l = s + 15; a = f + 11; b = r + 7; n = w + 17; k = f + 3; c = k + 13; f = 16; r = l + 19; v = o + 3; w = q + 6; q = a + 17. If f = 16, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 19 to b, which gives b = l + 26.\n2. Substitute l = s + 15 to b, which gives b = s + 41.\n3. Substitute s = c + 9 to b, which gives b = c + 50.\n4. Substitute c = k + 13 to b, which gives b = k + 63.\n5. Substitute k = f + 3 to b, which gives b = f + 66.\n6. Substitute f = 16 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 5760,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 19; s = c + 9; l = s + 15; a = f + 11; b = r + 7; n = w + 17; k = f + 3; c = k + 13; f = 16; r = l + 19; v = o + 3; w = q + 6; q = a + 17. If f = 16, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 3", "g": "a + 11", "w": "g + 20", "t": "w + 8", "u": "t + 17", "q": "u + 13", "f": "k + 15", "c": "f + 8", "r": "c + 9", "e": "r + 9", "m": "e + 17", "p": "m + 18", "k": 2}, "premises": {"k": 2}, "target": "q"}, "answer": {"steps": [["u", "t + 17", "t + 30"], ["t", "w + 8", "w + 38"], ["w", "g + 20", "g + 58"], ["g", "a + 11", "a + 69"], ["a", "k + 3", "k + 72"], ["k", 2, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"k": 2}, "is_reverse": true}} | 5,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 11; p = m + 18; u = t + 17; f = k + 15; m = e + 17; a = k + 3; w = g + 20; q = u + 13; e = r + 9; t = w + 8; r = c + 9; c = f + 8; k = 2. Given that k = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 17 to q, which gives q = t + 30.\n2. Substitute t = w + 8 to q, which gives q = w + 38.\n3. Substitute w = g + 20 to q, which gives q = g + 58.\n4. Substitute g = a + 11 to q, which gives q = a + 69.\n5. Substitute a = k + 3 to q, which gives q = k + 72.\n6. Substitute k = 2 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 5761,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 11; p = m + 18; u = t + 17; f = k + 15; m = e + 17; a = k + 3; w = g + 20; q = u + 13; e = r + 9; t = w + 8; r = c + 9; c = f + 8; k = 2. Given that k = 2, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 17", "g": "r + 3", "b": "g + 1", "n": "b + 5", "t": "n + 4", "f": "t + 10", "u": "x + 9", "d": "u + 15", "y": "d + 4", "h": "y + 18", "v": "h + 12", "z": "v + 15", "x": 11}, "premises": {"x": 11}, "target": "f"}, "answer": {"steps": [["t", "n + 4", "n + 14"], ["n", "b + 5", "b + 19"], ["b", "g + 1", "g + 20"], ["g", "r + 3", "r + 23"], ["r", "x + 17", "x + 40"], ["x", 11, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"x": 11}, "is_reverse": true}} | 5,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 9; d = u + 15; t = n + 4; r = x + 17; b = g + 1; z = v + 15; v = h + 12; g = r + 3; h = y + 18; n = b + 5; f = t + 10; y = d + 4; x = 11. If x = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 4 to f, which gives f = n + 14.\n2. Substitute n = b + 5 to f, which gives f = b + 19.\n3. Substitute b = g + 1 to f, which gives f = g + 20.\n4. Substitute g = r + 3 to f, which gives f = r + 23.\n5. Substitute r = x + 17 to f, which gives f = x + 40.\n6. Substitute x = 11 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 5762,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 9; d = u + 15; t = n + 4; r = x + 17; b = g + 1; z = v + 15; v = h + 12; g = r + 3; h = y + 18; n = b + 5; f = t + 10; y = d + 4; x = 11. If x = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 15", "g": "t + 19", "u": "g + 9", "z": "u + 6", "a": "z + 14", "i": "a + 17", "e": "w + 1", "x": "e + 4", "r": "x + 6", "m": "r + 12", "p": "m + 9", "k": "p + 1", "w": 1}, "premises": {"w": 1}, "target": "i"}, "answer": {"steps": [["a", "z + 14", "z + 31"], ["z", "u + 6", "u + 37"], ["u", "g + 9", "g + 46"], ["g", "t + 19", "t + 65"], ["t", "w + 15", "w + 80"], ["w", 1, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"w": 1}, "is_reverse": true}} | 5,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = x + 6; t = w + 15; u = g + 9; i = a + 17; p = m + 9; z = u + 6; m = r + 12; w = 1; x = e + 4; g = t + 19; e = w + 1; a = z + 14; k = p + 1. If w = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 14 to i, which gives i = z + 31.\n2. Substitute z = u + 6 to i, which gives i = u + 37.\n3. Substitute u = g + 9 to i, which gives i = g + 46.\n4. Substitute g = t + 19 to i, which gives i = t + 65.\n5. Substitute t = w + 15 to i, which gives i = w + 80.\n6. Substitute w = 1 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 5763,
"question": "Consider a system of variables where each variable is defined as follows: r = x + 6; t = w + 15; u = g + 9; i = a + 17; p = m + 9; z = u + 6; m = r + 12; w = 1; x = e + 4; g = t + 19; e = w + 1; a = z + 14; k = p + 1. If w = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 6", "z": "n + 5", "j": "z + 1", "f": "j + 12", "o": "f + 12", "h": "o + 5", "y": "s + 1", "u": "y + 5", "a": "u + 5", "r": "a + 7", "k": "r + 14", "i": "k + 4", "s": 14}, "premises": {"s": 14}, "target": "h"}, "answer": {"steps": [["o", "f + 12", "f + 17"], ["f", "j + 12", "j + 29"], ["j", "z + 1", "z + 30"], ["z", "n + 5", "n + 35"], ["n", "s + 6", "s + 41"], ["s", 14, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"s": 14}, "is_reverse": true}} | 5,764 | 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; n = s + 6; u = y + 5; j = z + 1; i = k + 4; y = s + 1; a = u + 5; f = j + 12; o = f + 12; k = r + 14; s = 14; h = o + 5; r = a + 7. If s = 14, what is the resulting 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. Substitute o = f + 12 to h, which gives h = f + 17.\n2. Substitute f = j + 12 to h, which gives h = j + 29.\n3. Substitute j = z + 1 to h, which gives h = z + 30.\n4. Substitute z = n + 5 to h, which gives h = n + 35.\n5. Substitute n = s + 6 to h, which gives h = s + 41.\n6. Substitute s = 14 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 5764,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 5; n = s + 6; u = y + 5; j = z + 1; i = k + 4; y = s + 1; a = u + 5; f = j + 12; o = f + 12; k = r + 14; s = 14; h = o + 5; r = a + 7. If s = 14, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 18", "g": "v + 19", "f": "g + 3", "w": "f + 8", "s": "w + 19", "l": "s + 8", "t": "y + 16", "d": "t + 13", "m": "d + 7", "x": "m + 10", "c": "x + 2", "a": "c + 4", "y": 4}, "premises": {"y": 4}, "target": "l"}, "answer": {"steps": [["s", "w + 19", "w + 27"], ["w", "f + 8", "f + 35"], ["f", "g + 3", "g + 38"], ["g", "v + 19", "v + 57"], ["v", "y + 18", "y + 75"], ["y", 4, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"y": 4}, "is_reverse": true}} | 5,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 8; c = x + 2; f = g + 3; s = w + 19; d = t + 13; g = v + 19; m = d + 7; y = 4; a = c + 4; t = y + 16; w = f + 8; x = m + 10; v = y + 18. If y = 4, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 19 to l, which gives l = w + 27.\n2. Substitute w = f + 8 to l, which gives l = f + 35.\n3. Substitute f = g + 3 to l, which gives l = g + 38.\n4. Substitute g = v + 19 to l, which gives l = v + 57.\n5. Substitute v = y + 18 to l, which gives l = y + 75.\n6. Substitute y = 4 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 5765,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 8; c = x + 2; f = g + 3; s = w + 19; d = t + 13; g = v + 19; m = d + 7; y = 4; a = c + 4; t = y + 16; w = f + 8; x = m + 10; v = y + 18. If y = 4, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 10", "h": "i + 11", "e": "h + 10", "s": "e + 4", "l": "s + 7", "j": "l + 12", "c": "o + 7", "w": "c + 7", "u": "w + 17", "k": "u + 6", "p": "k + 20", "t": "p + 15", "o": 1}, "premises": {"o": 1}, "target": "j"}, "answer": {"steps": [["l", "s + 7", "s + 19"], ["s", "e + 4", "e + 23"], ["e", "h + 10", "h + 33"], ["h", "i + 11", "i + 44"], ["i", "o + 10", "o + 54"], ["o", 1, "55"]], "target_var_name": "j", "target_value": 55, "value_dict": {"o": 1}, "is_reverse": true}} | 5,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 1; p = k + 20; h = i + 11; s = e + 4; u = w + 17; j = l + 12; t = p + 15; l = s + 7; c = o + 7; w = c + 7; i = o + 10; e = h + 10; k = u + 6. If o = 1, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 7 to j, which gives j = s + 19.\n2. Substitute s = e + 4 to j, which gives j = e + 23.\n3. Substitute e = h + 10 to j, which gives j = h + 33.\n4. Substitute h = i + 11 to j, which gives j = i + 44.\n5. Substitute i = o + 10 to j, which gives j = o + 54.\n6. Substitute o = 1 to j, which gives j = 55.\n\nThus, the final answer is j = \\boxed{55}.",
"index": 5766,
"question": "Consider a system of variables where each variable is defined as follows: o = 1; p = k + 20; h = i + 11; s = e + 4; u = w + 17; j = l + 12; t = p + 15; l = s + 7; c = o + 7; w = c + 7; i = o + 10; e = h + 10; k = u + 6. If o = 1, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 14", "n": "f + 5", "t": "n + 9", "x": "t + 11", "o": "x + 13", "h": "o + 15", "r": "c + 10", "k": "r + 17", "u": "k + 11", "m": "u + 5", "w": "m + 7", "y": "w + 20", "c": 2}, "premises": {"c": 2}, "target": "h"}, "answer": {"steps": [["o", "x + 13", "x + 28"], ["x", "t + 11", "t + 39"], ["t", "n + 9", "n + 48"], ["n", "f + 5", "f + 53"], ["f", "c + 14", "c + 67"], ["c", 2, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"c": 2}, "is_reverse": true}} | 5,767 | 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 = t + 11; f = c + 14; m = u + 5; n = f + 5; o = x + 13; k = r + 17; y = w + 20; c = 2; w = m + 7; u = k + 11; r = c + 10; h = o + 15; t = n + 9. If c = 2, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 13 to h, which gives h = x + 28.\n2. Substitute x = t + 11 to h, which gives h = t + 39.\n3. Substitute t = n + 9 to h, which gives h = n + 48.\n4. Substitute n = f + 5 to h, which gives h = f + 53.\n5. Substitute f = c + 14 to h, which gives h = c + 67.\n6. Substitute c = 2 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 5767,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 11; f = c + 14; m = u + 5; n = f + 5; o = x + 13; k = r + 17; y = w + 20; c = 2; w = m + 7; u = k + 11; r = c + 10; h = o + 15; t = n + 9. If c = 2, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 10", "s": "g + 18", "v": "s + 3", "y": "v + 18", "f": "y + 6", "x": "f + 18", "e": "h + 17", "n": "e + 1", "l": "n + 16", "r": "l + 5", "p": "r + 11", "t": "p + 2", "h": 12}, "premises": {"h": 12}, "target": "x"}, "answer": {"steps": [["f", "y + 6", "y + 24"], ["y", "v + 18", "v + 42"], ["v", "s + 3", "s + 45"], ["s", "g + 18", "g + 63"], ["g", "h + 10", "h + 73"], ["h", 12, "85"]], "target_var_name": "x", "target_value": 85, "value_dict": {"h": 12}, "is_reverse": true}} | 5,768 | 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 = n + 16; r = l + 5; h = 12; g = h + 10; t = p + 2; s = g + 18; f = y + 6; v = s + 3; e = h + 17; n = e + 1; p = r + 11; y = v + 18; x = f + 18. If h = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 6 to x, which gives x = y + 24.\n2. Substitute y = v + 18 to x, which gives x = v + 42.\n3. Substitute v = s + 3 to x, which gives x = s + 45.\n4. Substitute s = g + 18 to x, which gives x = g + 63.\n5. Substitute g = h + 10 to x, which gives x = h + 73.\n6. Substitute h = 12 to x, which gives x = 85.\n\nThus, the final answer is x = \\boxed{85}.",
"index": 5768,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 16; r = l + 5; h = 12; g = h + 10; t = p + 2; s = g + 18; f = y + 6; v = s + 3; e = h + 17; n = e + 1; p = r + 11; y = v + 18; x = f + 18. If h = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 14", "l": "i + 8", "f": "l + 17", "d": "f + 1", "r": "d + 12", "x": "r + 17", "e": "c + 15", "j": "e + 14", "z": "j + 11", "a": "z + 9", "n": "a + 1", "b": "n + 6", "c": 15}, "premises": {"c": 15}, "target": "x"}, "answer": {"steps": [["r", "d + 12", "d + 29"], ["d", "f + 1", "f + 30"], ["f", "l + 17", "l + 47"], ["l", "i + 8", "i + 55"], ["i", "c + 14", "c + 69"], ["c", 15, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"c": 15}, "is_reverse": true}} | 5,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 14; a = z + 9; c = 15; l = i + 8; b = n + 6; e = c + 15; i = c + 14; d = f + 1; z = j + 11; f = l + 17; n = a + 1; x = r + 17; r = d + 12. If c = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 12 to x, which gives x = d + 29.\n2. Substitute d = f + 1 to x, which gives x = f + 30.\n3. Substitute f = l + 17 to x, which gives x = l + 47.\n4. Substitute l = i + 8 to x, which gives x = i + 55.\n5. Substitute i = c + 14 to x, which gives x = c + 69.\n6. Substitute c = 15 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 5769,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 14; a = z + 9; c = 15; l = i + 8; b = n + 6; e = c + 15; i = c + 14; d = f + 1; z = j + 11; f = l + 17; n = a + 1; x = r + 17; r = d + 12. If c = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 12", "f": "l + 6", "r": "f + 16", "s": "r + 16", "i": "s + 2", "o": "i + 10", "t": "k + 14", "z": "t + 2", "p": "z + 20", "u": "p + 12", "h": "u + 1", "q": "h + 12", "k": 9}, "premises": {"k": 9}, "target": "o"}, "answer": {"steps": [["i", "s + 2", "s + 12"], ["s", "r + 16", "r + 28"], ["r", "f + 16", "f + 44"], ["f", "l + 6", "l + 50"], ["l", "k + 12", "k + 62"], ["k", 9, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"k": 9}, "is_reverse": true}} | 5,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 12; z = t + 2; i = s + 2; u = p + 12; s = r + 16; h = u + 1; l = k + 12; p = z + 20; r = f + 16; t = k + 14; k = 9; o = i + 10; f = l + 6. If k = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 2 to o, which gives o = s + 12.\n2. Substitute s = r + 16 to o, which gives o = r + 28.\n3. Substitute r = f + 16 to o, which gives o = f + 44.\n4. Substitute f = l + 6 to o, which gives o = l + 50.\n5. Substitute l = k + 12 to o, which gives o = k + 62.\n6. Substitute k = 9 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 5770,
"question": "Consider a system of variables where each variable is defined as follows: q = h + 12; z = t + 2; i = s + 2; u = p + 12; s = r + 16; h = u + 1; l = k + 12; p = z + 20; r = f + 16; t = k + 14; k = 9; o = i + 10; f = l + 6. If k = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 7", "x": "b + 10", "e": "x + 19", "a": "e + 2", "z": "a + 15", "r": "z + 3", "y": "j + 7", "l": "y + 16", "w": "l + 16", "f": "w + 15", "m": "f + 13", "c": "m + 5", "j": 15}, "premises": {"j": 15}, "target": "r"}, "answer": {"steps": [["z", "a + 15", "a + 18"], ["a", "e + 2", "e + 20"], ["e", "x + 19", "x + 39"], ["x", "b + 10", "b + 49"], ["b", "j + 7", "j + 56"], ["j", 15, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"j": 15}, "is_reverse": true}} | 5,771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 13; l = y + 16; a = e + 2; x = b + 10; c = m + 5; b = j + 7; j = 15; w = l + 16; e = x + 19; r = z + 3; y = j + 7; f = w + 15; z = a + 15. If j = 15, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 15 to r, which gives r = a + 18.\n2. Substitute a = e + 2 to r, which gives r = e + 20.\n3. Substitute e = x + 19 to r, which gives r = x + 39.\n4. Substitute x = b + 10 to r, which gives r = b + 49.\n5. Substitute b = j + 7 to r, which gives r = j + 56.\n6. Substitute j = 15 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 5771,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 13; l = y + 16; a = e + 2; x = b + 10; c = m + 5; b = j + 7; j = 15; w = l + 16; e = x + 19; r = z + 3; y = j + 7; f = w + 15; z = a + 15. If j = 15, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 19", "x": "q + 16", "c": "x + 17", "j": "c + 16", "n": "j + 1", "w": "n + 2", "t": "l + 19", "z": "t + 14", "k": "z + 6", "h": "k + 5", "d": "h + 1", "v": "d + 2", "l": 7}, "premises": {"l": 7}, "target": "w"}, "answer": {"steps": [["n", "j + 1", "j + 3"], ["j", "c + 16", "c + 19"], ["c", "x + 17", "x + 36"], ["x", "q + 16", "q + 52"], ["q", "l + 19", "l + 71"], ["l", 7, "78"]], "target_var_name": "w", "target_value": 78, "value_dict": {"l": 7}, "is_reverse": true}} | 5,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 1; k = z + 6; c = x + 17; v = d + 2; z = t + 14; q = l + 19; x = q + 16; d = h + 1; l = 7; h = k + 5; w = n + 2; t = l + 19; j = c + 16. If l = 7, determine 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. Substitute n = j + 1 to w, which gives w = j + 3.\n2. Substitute j = c + 16 to w, which gives w = c + 19.\n3. Substitute c = x + 17 to w, which gives w = x + 36.\n4. Substitute x = q + 16 to w, which gives w = q + 52.\n5. Substitute q = l + 19 to w, which gives w = l + 71.\n6. Substitute l = 7 to w, which gives w = 78.\n\nThus, the final answer is w = \\boxed{78}.",
"index": 5772,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 1; k = z + 6; c = x + 17; v = d + 2; z = t + 14; q = l + 19; x = q + 16; d = h + 1; l = 7; h = k + 5; w = n + 2; t = l + 19; j = c + 16. If l = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 16", "m": "b + 9", "r": "m + 1", "v": "r + 18", "g": "v + 4", "w": "g + 10", "a": "d + 13", "o": "a + 16", "h": "o + 19", "u": "h + 8", "c": "u + 17", "n": "c + 16", "d": 16}, "premises": {"d": 16}, "target": "w"}, "answer": {"steps": [["g", "v + 4", "v + 14"], ["v", "r + 18", "r + 32"], ["r", "m + 1", "m + 33"], ["m", "b + 9", "b + 42"], ["b", "d + 16", "d + 58"], ["d", 16, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"d": 16}, "is_reverse": true}} | 5,773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = v + 4; v = r + 18; r = m + 1; d = 16; h = o + 19; w = g + 10; a = d + 13; n = c + 16; u = h + 8; o = a + 16; b = d + 16; c = u + 17; m = b + 9. Given that d = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 4 to w, which gives w = v + 14.\n2. Substitute v = r + 18 to w, which gives w = r + 32.\n3. Substitute r = m + 1 to w, which gives w = m + 33.\n4. Substitute m = b + 9 to w, which gives w = b + 42.\n5. Substitute b = d + 16 to w, which gives w = d + 58.\n6. Substitute d = 16 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 5773,
"question": "Suppose a collection of variables is related by the following definitions: g = v + 4; v = r + 18; r = m + 1; d = 16; h = o + 19; w = g + 10; a = d + 13; n = c + 16; u = h + 8; o = a + 16; b = d + 16; c = u + 17; m = b + 9. Given that d = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 11", "f": "x + 13", "k": "f + 4", "d": "k + 14", "u": "d + 16", "p": "u + 18", "y": "q + 12", "t": "y + 2", "j": "t + 20", "z": "j + 1", "m": "z + 17", "o": "m + 2", "q": 5}, "premises": {"q": 5}, "target": "p"}, "answer": {"steps": [["u", "d + 16", "d + 34"], ["d", "k + 14", "k + 48"], ["k", "f + 4", "f + 52"], ["f", "x + 13", "x + 65"], ["x", "q + 11", "q + 76"], ["q", 5, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"q": 5}, "is_reverse": true}} | 5,774 | 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 = u + 18; u = d + 16; y = q + 12; j = t + 20; o = m + 2; t = y + 2; x = q + 11; m = z + 17; f = x + 13; k = f + 4; q = 5; z = j + 1; d = k + 14. If q = 5, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 16 to p, which gives p = d + 34.\n2. Substitute d = k + 14 to p, which gives p = k + 48.\n3. Substitute k = f + 4 to p, which gives p = f + 52.\n4. Substitute f = x + 13 to p, which gives p = x + 65.\n5. Substitute x = q + 11 to p, which gives p = q + 76.\n6. Substitute q = 5 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 5774,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 18; u = d + 16; y = q + 12; j = t + 20; o = m + 2; t = y + 2; x = q + 11; m = z + 17; f = x + 13; k = f + 4; q = 5; z = j + 1; d = k + 14. If q = 5, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 17", "h": "t + 16", "l": "h + 7", "w": "l + 6", "d": "w + 17", "c": "d + 16", "p": "q + 18", "n": "p + 14", "j": "n + 5", "y": "j + 7", "a": "y + 17", "f": "a + 4", "q": 15}, "premises": {"q": 15}, "target": "c"}, "answer": {"steps": [["d", "w + 17", "w + 33"], ["w", "l + 6", "l + 39"], ["l", "h + 7", "h + 46"], ["h", "t + 16", "t + 62"], ["t", "q + 17", "q + 79"], ["q", 15, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"q": 15}, "is_reverse": true}} | 5,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 18; h = t + 16; w = l + 6; t = q + 17; c = d + 16; d = w + 17; l = h + 7; a = y + 17; y = j + 7; j = n + 5; f = a + 4; q = 15; n = p + 14. If q = 15, 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. Substitute d = w + 17 to c, which gives c = w + 33.\n2. Substitute w = l + 6 to c, which gives c = l + 39.\n3. Substitute l = h + 7 to c, which gives c = h + 46.\n4. Substitute h = t + 16 to c, which gives c = t + 62.\n5. Substitute t = q + 17 to c, which gives c = q + 79.\n6. Substitute q = 15 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 5775,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 18; h = t + 16; w = l + 6; t = q + 17; c = d + 16; d = w + 17; l = h + 7; a = y + 17; y = j + 7; j = n + 5; f = a + 4; q = 15; n = p + 14. If q = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 19", "v": "n + 4", "c": "v + 9", "w": "c + 4", "g": "w + 14", "i": "g + 4", "r": "z + 8", "x": "r + 1", "l": "x + 6", "a": "l + 4", "t": "a + 5", "j": "t + 16", "z": 17}, "premises": {"z": 17}, "target": "i"}, "answer": {"steps": [["g", "w + 14", "w + 18"], ["w", "c + 4", "c + 22"], ["c", "v + 9", "v + 31"], ["v", "n + 4", "n + 35"], ["n", "z + 19", "z + 54"], ["z", 17, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"z": 17}, "is_reverse": true}} | 5,776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 14; r = z + 8; j = t + 16; x = r + 1; v = n + 4; t = a + 5; z = 17; w = c + 4; l = x + 6; i = g + 4; n = z + 19; a = l + 4; c = v + 9. If z = 17, 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. Substitute g = w + 14 to i, which gives i = w + 18.\n2. Substitute w = c + 4 to i, which gives i = c + 22.\n3. Substitute c = v + 9 to i, which gives i = v + 31.\n4. Substitute v = n + 4 to i, which gives i = n + 35.\n5. Substitute n = z + 19 to i, which gives i = z + 54.\n6. Substitute z = 17 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 5776,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 14; r = z + 8; j = t + 16; x = r + 1; v = n + 4; t = a + 5; z = 17; w = c + 4; l = x + 6; i = g + 4; n = z + 19; a = l + 4; c = v + 9. If z = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 15", "q": "s + 7", "w": "q + 14", "y": "w + 17", "p": "y + 19", "r": "p + 17", "l": "m + 5", "d": "l + 10", "g": "d + 14", "u": "g + 10", "a": "u + 13", "j": "a + 3", "m": 2}, "premises": {"m": 2}, "target": "r"}, "answer": {"steps": [["p", "y + 19", "y + 36"], ["y", "w + 17", "w + 53"], ["w", "q + 14", "q + 67"], ["q", "s + 7", "s + 74"], ["s", "m + 15", "m + 89"], ["m", 2, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"m": 2}, "is_reverse": true}} | 5,777 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 7; d = l + 10; l = m + 5; j = a + 3; y = w + 17; m = 2; w = q + 14; r = p + 17; s = m + 15; g = d + 14; a = u + 13; p = y + 19; u = g + 10. If m = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 19 to r, which gives r = y + 36.\n2. Substitute y = w + 17 to r, which gives r = w + 53.\n3. Substitute w = q + 14 to r, which gives r = q + 67.\n4. Substitute q = s + 7 to r, which gives r = s + 74.\n5. Substitute s = m + 15 to r, which gives r = m + 89.\n6. Substitute m = 2 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 5777,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 7; d = l + 10; l = m + 5; j = a + 3; y = w + 17; m = 2; w = q + 14; r = p + 17; s = m + 15; g = d + 14; a = u + 13; p = y + 19; u = g + 10. If m = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 1", "v": "z + 3", "p": "v + 4", "n": "p + 3", "a": "n + 1", "b": "a + 4", "f": "m + 10", "k": "f + 5", "s": "k + 20", "w": "s + 13", "h": "w + 12", "x": "h + 11", "m": 3}, "premises": {"m": 3}, "target": "b"}, "answer": {"steps": [["a", "n + 1", "n + 5"], ["n", "p + 3", "p + 8"], ["p", "v + 4", "v + 12"], ["v", "z + 3", "z + 15"], ["z", "m + 1", "m + 16"], ["m", 3, "19"]], "target_var_name": "b", "target_value": 19, "value_dict": {"m": 3}, "is_reverse": true}} | 5,778 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 10; p = v + 4; b = a + 4; w = s + 13; m = 3; v = z + 3; a = n + 1; n = p + 3; z = m + 1; h = w + 12; s = k + 20; k = f + 5; x = h + 11. If m = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 19,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 1 to b, which gives b = n + 5.\n2. Substitute n = p + 3 to b, which gives b = p + 8.\n3. Substitute p = v + 4 to b, which gives b = v + 12.\n4. Substitute v = z + 3 to b, which gives b = z + 15.\n5. Substitute z = m + 1 to b, which gives b = m + 16.\n6. Substitute m = 3 to b, which gives b = 19.\n\nThus, the final answer is b = \\boxed{19}.",
"index": 5778,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 10; p = v + 4; b = a + 4; w = s + 13; m = 3; v = z + 3; a = n + 1; n = p + 3; z = m + 1; h = w + 12; s = k + 20; k = f + 5; x = h + 11. If m = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 6", "v": "l + 11", "d": "v + 18", "a": "d + 8", "c": "a + 13", "f": "c + 12", "r": "p + 20", "s": "r + 20", "q": "s + 8", "e": "q + 7", "w": "e + 13", "h": "w + 13", "p": 6}, "premises": {"p": 6}, "target": "f"}, "answer": {"steps": [["c", "a + 13", "a + 25"], ["a", "d + 8", "d + 33"], ["d", "v + 18", "v + 51"], ["v", "l + 11", "l + 62"], ["l", "p + 6", "p + 68"], ["p", 6, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"p": 6}, "is_reverse": true}} | 5,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = a + 13; h = w + 13; q = s + 8; w = e + 13; a = d + 8; p = 6; l = p + 6; f = c + 12; e = q + 7; s = r + 20; r = p + 20; d = v + 18; v = l + 11. Given that p = 6, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 13 to f, which gives f = a + 25.\n2. Substitute a = d + 8 to f, which gives f = d + 33.\n3. Substitute d = v + 18 to f, which gives f = v + 51.\n4. Substitute v = l + 11 to f, which gives f = l + 62.\n5. Substitute l = p + 6 to f, which gives f = p + 68.\n6. Substitute p = 6 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 5779,
"question": "Suppose a collection of variables is related by the following definitions: c = a + 13; h = w + 13; q = s + 8; w = e + 13; a = d + 8; p = 6; l = p + 6; f = c + 12; e = q + 7; s = r + 20; r = p + 20; d = v + 18; v = l + 11. Given that p = 6, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 6", "q": "y + 6", "f": "q + 13", "n": "f + 13", "e": "n + 11", "o": "e + 20", "c": "u + 6", "z": "c + 14", "d": "z + 15", "k": "d + 20", "x": "k + 9", "t": "x + 5", "u": 11}, "premises": {"u": 11}, "target": "o"}, "answer": {"steps": [["e", "n + 11", "n + 31"], ["n", "f + 13", "f + 44"], ["f", "q + 13", "q + 57"], ["q", "y + 6", "y + 63"], ["y", "u + 6", "u + 69"], ["u", 11, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"u": 11}, "is_reverse": true}} | 5,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 5; u = 11; d = z + 15; n = f + 13; y = u + 6; z = c + 14; o = e + 20; c = u + 6; x = k + 9; k = d + 20; e = n + 11; q = y + 6; f = q + 13. If u = 11, 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. Substitute e = n + 11 to o, which gives o = n + 31.\n2. Substitute n = f + 13 to o, which gives o = f + 44.\n3. Substitute f = q + 13 to o, which gives o = q + 57.\n4. Substitute q = y + 6 to o, which gives o = y + 63.\n5. Substitute y = u + 6 to o, which gives o = u + 69.\n6. Substitute u = 11 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 5780,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 5; u = 11; d = z + 15; n = f + 13; y = u + 6; z = c + 14; o = e + 20; c = u + 6; x = k + 9; k = d + 20; e = n + 11; q = y + 6; f = q + 13. If u = 11, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 18", "w": "k + 19", "h": "w + 18", "q": "h + 5", "e": "q + 20", "v": "e + 13", "p": "r + 5", "f": "p + 10", "l": "f + 3", "n": "l + 12", "u": "n + 16", "t": "u + 16", "r": 9}, "premises": {"r": 9}, "target": "v"}, "answer": {"steps": [["e", "q + 20", "q + 33"], ["q", "h + 5", "h + 38"], ["h", "w + 18", "w + 56"], ["w", "k + 19", "k + 75"], ["k", "r + 18", "r + 93"], ["r", 9, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"r": 9}, "is_reverse": true}} | 5,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 16; w = k + 19; k = r + 18; r = 9; e = q + 20; n = l + 12; v = e + 13; q = h + 5; t = u + 16; f = p + 10; l = f + 3; p = r + 5; h = w + 18. If r = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 20 to v, which gives v = q + 33.\n2. Substitute q = h + 5 to v, which gives v = h + 38.\n3. Substitute h = w + 18 to v, which gives v = w + 56.\n4. Substitute w = k + 19 to v, which gives v = k + 75.\n5. Substitute k = r + 18 to v, which gives v = r + 93.\n6. Substitute r = 9 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 5781,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 16; w = k + 19; k = r + 18; r = 9; e = q + 20; n = l + 12; v = e + 13; q = h + 5; t = u + 16; f = p + 10; l = f + 3; p = r + 5; h = w + 18. If r = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 6", "e": "z + 9", "p": "e + 20", "s": "p + 14", "r": "s + 16", "a": "r + 8", "y": "m + 12", "d": "y + 8", "k": "d + 9", "b": "k + 1", "f": "b + 6", "x": "f + 3", "m": 20}, "premises": {"m": 20}, "target": "a"}, "answer": {"steps": [["r", "s + 16", "s + 24"], ["s", "p + 14", "p + 38"], ["p", "e + 20", "e + 58"], ["e", "z + 9", "z + 67"], ["z", "m + 6", "m + 73"], ["m", 20, "93"]], "target_var_name": "a", "target_value": 93, "value_dict": {"m": 20}, "is_reverse": true}} | 5,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 9; m = 20; d = y + 8; f = b + 6; s = p + 14; k = d + 9; x = f + 3; z = m + 6; r = s + 16; b = k + 1; p = e + 20; a = r + 8; y = m + 12. Given that m = 20, find 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. Substitute r = s + 16 to a, which gives a = s + 24.\n2. Substitute s = p + 14 to a, which gives a = p + 38.\n3. Substitute p = e + 20 to a, which gives a = e + 58.\n4. Substitute e = z + 9 to a, which gives a = z + 67.\n5. Substitute z = m + 6 to a, which gives a = m + 73.\n6. Substitute m = 20 to a, which gives a = 93.\n\nThus, the final answer is a = \\boxed{93}.",
"index": 5782,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 9; m = 20; d = y + 8; f = b + 6; s = p + 14; k = d + 9; x = f + 3; z = m + 6; r = s + 16; b = k + 1; p = e + 20; a = r + 8; y = m + 12. Given that m = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 5", "x": "u + 12", "z": "x + 8", "r": "z + 9", "g": "r + 14", "h": "g + 15", "s": "f + 13", "j": "s + 6", "b": "j + 9", "e": "b + 11", "l": "e + 18", "k": "l + 7", "f": 16}, "premises": {"f": 16}, "target": "h"}, "answer": {"steps": [["g", "r + 14", "r + 29"], ["r", "z + 9", "z + 38"], ["z", "x + 8", "x + 46"], ["x", "u + 12", "u + 58"], ["u", "f + 5", "f + 63"], ["f", 16, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"f": 16}, "is_reverse": true}} | 5,783 | 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 + 8; h = g + 15; x = u + 12; e = b + 11; b = j + 9; r = z + 9; j = s + 6; g = r + 14; u = f + 5; k = l + 7; l = e + 18; f = 16; s = f + 13. If f = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 14 to h, which gives h = r + 29.\n2. Substitute r = z + 9 to h, which gives h = z + 38.\n3. Substitute z = x + 8 to h, which gives h = x + 46.\n4. Substitute x = u + 12 to h, which gives h = u + 58.\n5. Substitute u = f + 5 to h, which gives h = f + 63.\n6. Substitute f = 16 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 5783,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 8; h = g + 15; x = u + 12; e = b + 11; b = j + 9; r = z + 9; j = s + 6; g = r + 14; u = f + 5; k = l + 7; l = e + 18; f = 16; s = f + 13. If f = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 16", "a": "d + 9", "r": "a + 13", "z": "r + 19", "o": "z + 13", "e": "o + 8", "g": "q + 14", "i": "g + 19", "f": "i + 3", "w": "f + 11", "c": "w + 13", "t": "c + 10", "q": 14}, "premises": {"q": 14}, "target": "e"}, "answer": {"steps": [["o", "z + 13", "z + 21"], ["z", "r + 19", "r + 40"], ["r", "a + 13", "a + 53"], ["a", "d + 9", "d + 62"], ["d", "q + 16", "q + 78"], ["q", 14, "92"]], "target_var_name": "e", "target_value": 92, "value_dict": {"q": 14}, "is_reverse": true}} | 5,784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 13; d = q + 16; g = q + 14; w = f + 11; q = 14; a = d + 9; r = a + 13; i = g + 19; f = i + 3; z = r + 19; e = o + 8; t = c + 10; c = w + 13. If q = 14, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 13 to e, which gives e = z + 21.\n2. Substitute z = r + 19 to e, which gives e = r + 40.\n3. Substitute r = a + 13 to e, which gives e = a + 53.\n4. Substitute a = d + 9 to e, which gives e = d + 62.\n5. Substitute d = q + 16 to e, which gives e = q + 78.\n6. Substitute q = 14 to e, which gives e = 92.\n\nThus, the final answer is e = \\boxed{92}.",
"index": 5784,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 13; d = q + 16; g = q + 14; w = f + 11; q = 14; a = d + 9; r = a + 13; i = g + 19; f = i + 3; z = r + 19; e = o + 8; t = c + 10; c = w + 13. If q = 14, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 1", "x": "p + 1", "d": "x + 17", "o": "d + 3", "l": "o + 5", "q": "l + 13", "i": "h + 16", "w": "i + 14", "e": "w + 18", "t": "e + 2", "v": "t + 20", "u": "v + 2", "h": 19}, "premises": {"h": 19}, "target": "q"}, "answer": {"steps": [["l", "o + 5", "o + 18"], ["o", "d + 3", "d + 21"], ["d", "x + 17", "x + 38"], ["x", "p + 1", "p + 39"], ["p", "h + 1", "h + 40"], ["h", 19, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"h": 19}, "is_reverse": true}} | 5,785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = e + 2; e = w + 18; w = i + 14; i = h + 16; l = o + 5; p = h + 1; x = p + 1; o = d + 3; h = 19; d = x + 17; q = l + 13; u = v + 2; v = t + 20. Given that h = 19, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 5 to q, which gives q = o + 18.\n2. Substitute o = d + 3 to q, which gives q = d + 21.\n3. Substitute d = x + 17 to q, which gives q = x + 38.\n4. Substitute x = p + 1 to q, which gives q = p + 39.\n5. Substitute p = h + 1 to q, which gives q = h + 40.\n6. Substitute h = 19 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 5785,
"question": "Suppose a collection of variables is related by the following definitions: t = e + 2; e = w + 18; w = i + 14; i = h + 16; l = o + 5; p = h + 1; x = p + 1; o = d + 3; h = 19; d = x + 17; q = l + 13; u = v + 2; v = t + 20. Given that h = 19, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 4", "j": "c + 11", "o": "j + 13", "y": "o + 4", "i": "y + 19", "g": "i + 19", "l": "t + 14", "s": "l + 20", "f": "s + 2", "d": "f + 14", "p": "d + 16", "x": "p + 15", "t": 5}, "premises": {"t": 5}, "target": "g"}, "answer": {"steps": [["i", "y + 19", "y + 38"], ["y", "o + 4", "o + 42"], ["o", "j + 13", "j + 55"], ["j", "c + 11", "c + 66"], ["c", "t + 4", "t + 70"], ["t", 5, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"t": 5}, "is_reverse": true}} | 5,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 4; i = y + 19; p = d + 16; g = i + 19; l = t + 14; f = s + 2; x = p + 15; j = c + 11; d = f + 14; t = 5; o = j + 13; s = l + 20; c = t + 4. Given that t = 5, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 19 to g, which gives g = y + 38.\n2. Substitute y = o + 4 to g, which gives g = o + 42.\n3. Substitute o = j + 13 to g, which gives g = j + 55.\n4. Substitute j = c + 11 to g, which gives g = c + 66.\n5. Substitute c = t + 4 to g, which gives g = t + 70.\n6. Substitute t = 5 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 5786,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 4; i = y + 19; p = d + 16; g = i + 19; l = t + 14; f = s + 2; x = p + 15; j = c + 11; d = f + 14; t = 5; o = j + 13; s = l + 20; c = t + 4. Given that t = 5, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 15", "b": "z + 2", "f": "b + 14", "y": "f + 17", "g": "y + 6", "j": "g + 18", "e": "v + 14", "u": "e + 11", "i": "u + 14", "l": "i + 16", "x": "l + 19", "k": "x + 8", "v": 8}, "premises": {"v": 8}, "target": "j"}, "answer": {"steps": [["g", "y + 6", "y + 24"], ["y", "f + 17", "f + 41"], ["f", "b + 14", "b + 55"], ["b", "z + 2", "z + 57"], ["z", "v + 15", "v + 72"], ["v", 8, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"v": 8}, "is_reverse": true}} | 5,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 15; x = l + 19; u = e + 11; b = z + 2; k = x + 8; g = y + 6; i = u + 14; l = i + 16; e = v + 14; f = b + 14; j = g + 18; v = 8; y = f + 17. Given that v = 8, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 6 to j, which gives j = y + 24.\n2. Substitute y = f + 17 to j, which gives j = f + 41.\n3. Substitute f = b + 14 to j, which gives j = b + 55.\n4. Substitute b = z + 2 to j, which gives j = z + 57.\n5. Substitute z = v + 15 to j, which gives j = v + 72.\n6. Substitute v = 8 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 5787,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 15; x = l + 19; u = e + 11; b = z + 2; k = x + 8; g = y + 6; i = u + 14; l = i + 16; e = v + 14; f = b + 14; j = g + 18; v = 8; y = f + 17. Given that v = 8, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 11", "h": "m + 11", "d": "h + 14", "w": "d + 13", "f": "w + 19", "q": "f + 18", "t": "p + 13", "a": "t + 1", "s": "a + 14", "l": "s + 6", "z": "l + 7", "y": "z + 13", "p": 1}, "premises": {"p": 1}, "target": "q"}, "answer": {"steps": [["f", "w + 19", "w + 37"], ["w", "d + 13", "d + 50"], ["d", "h + 14", "h + 64"], ["h", "m + 11", "m + 75"], ["m", "p + 11", "p + 86"], ["p", 1, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"p": 1}, "is_reverse": true}} | 5,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = w + 19; l = s + 6; q = f + 18; m = p + 11; z = l + 7; s = a + 14; h = m + 11; a = t + 1; p = 1; t = p + 13; y = z + 13; d = h + 14; w = d + 13. Given that p = 1, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 19 to q, which gives q = w + 37.\n2. Substitute w = d + 13 to q, which gives q = d + 50.\n3. Substitute d = h + 14 to q, which gives q = h + 64.\n4. Substitute h = m + 11 to q, which gives q = m + 75.\n5. Substitute m = p + 11 to q, which gives q = p + 86.\n6. Substitute p = 1 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 5788,
"question": "Suppose a collection of variables is related by the following definitions: f = w + 19; l = s + 6; q = f + 18; m = p + 11; z = l + 7; s = a + 14; h = m + 11; a = t + 1; p = 1; t = p + 13; y = z + 13; d = h + 14; w = d + 13. Given that p = 1, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 12", "u": "s + 1", "v": "u + 1", "p": "v + 11", "k": "p + 9", "b": "k + 1", "q": "a + 1", "m": "q + 5", "w": "m + 7", "c": "w + 14", "i": "c + 11", "n": "i + 15", "a": 3}, "premises": {"a": 3}, "target": "b"}, "answer": {"steps": [["k", "p + 9", "p + 10"], ["p", "v + 11", "v + 21"], ["v", "u + 1", "u + 22"], ["u", "s + 1", "s + 23"], ["s", "a + 12", "a + 35"], ["a", 3, "38"]], "target_var_name": "b", "target_value": 38, "value_dict": {"a": 3}, "is_reverse": true}} | 5,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 1; m = q + 5; i = c + 11; w = m + 7; n = i + 15; u = s + 1; q = a + 1; s = a + 12; v = u + 1; a = 3; c = w + 14; k = p + 9; p = v + 11. If a = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 9 to b, which gives b = p + 10.\n2. Substitute p = v + 11 to b, which gives b = v + 21.\n3. Substitute v = u + 1 to b, which gives b = u + 22.\n4. Substitute u = s + 1 to b, which gives b = s + 23.\n5. Substitute s = a + 12 to b, which gives b = a + 35.\n6. Substitute a = 3 to b, which gives b = 38.\n\nThus, the final answer is b = \\boxed{38}.",
"index": 5789,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 1; m = q + 5; i = c + 11; w = m + 7; n = i + 15; u = s + 1; q = a + 1; s = a + 12; v = u + 1; a = 3; c = w + 14; k = p + 9; p = v + 11. If a = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 9", "w": "t + 7", "k": "w + 16", "z": "k + 20", "q": "z + 13", "e": "q + 11", "o": "i + 4", "n": "o + 17", "s": "n + 8", "p": "s + 5", "u": "p + 7", "j": "u + 3", "i": 2}, "premises": {"i": 2}, "target": "e"}, "answer": {"steps": [["q", "z + 13", "z + 24"], ["z", "k + 20", "k + 44"], ["k", "w + 16", "w + 60"], ["w", "t + 7", "t + 67"], ["t", "i + 9", "i + 76"], ["i", 2, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"i": 2}, "is_reverse": true}} | 5,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 2; p = s + 5; k = w + 16; w = t + 7; z = k + 20; o = i + 4; n = o + 17; t = i + 9; j = u + 3; u = p + 7; s = n + 8; e = q + 11; q = z + 13. If i = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 13 to e, which gives e = z + 24.\n2. Substitute z = k + 20 to e, which gives e = k + 44.\n3. Substitute k = w + 16 to e, which gives e = w + 60.\n4. Substitute w = t + 7 to e, which gives e = t + 67.\n5. Substitute t = i + 9 to e, which gives e = i + 76.\n6. Substitute i = 2 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 5790,
"question": "Consider a system of variables where each variable is defined as follows: i = 2; p = s + 5; k = w + 16; w = t + 7; z = k + 20; o = i + 4; n = o + 17; t = i + 9; j = u + 3; u = p + 7; s = n + 8; e = q + 11; q = z + 13. If i = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 18", "h": "e + 18", "j": "h + 11", "t": "j + 19", "r": "t + 1", "g": "r + 10", "o": "q + 12", "z": "o + 1", "i": "z + 16", "b": "i + 12", "x": "b + 7", "v": "x + 3", "q": 9}, "premises": {"q": 9}, "target": "g"}, "answer": {"steps": [["r", "t + 1", "t + 11"], ["t", "j + 19", "j + 30"], ["j", "h + 11", "h + 41"], ["h", "e + 18", "e + 59"], ["e", "q + 18", "q + 77"], ["q", 9, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"q": 9}, "is_reverse": true}} | 5,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 9; o = q + 12; t = j + 19; b = i + 12; r = t + 1; x = b + 7; i = z + 16; v = x + 3; g = r + 10; j = h + 11; h = e + 18; z = o + 1; e = q + 18. If q = 9, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 1 to g, which gives g = t + 11.\n2. Substitute t = j + 19 to g, which gives g = j + 30.\n3. Substitute j = h + 11 to g, which gives g = h + 41.\n4. Substitute h = e + 18 to g, which gives g = e + 59.\n5. Substitute e = q + 18 to g, which gives g = q + 77.\n6. Substitute q = 9 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 5791,
"question": "Consider a system of variables where each variable is defined as follows: q = 9; o = q + 12; t = j + 19; b = i + 12; r = t + 1; x = b + 7; i = z + 16; v = x + 3; g = r + 10; j = h + 11; h = e + 18; z = o + 1; e = q + 18. If q = 9, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 15", "l": "a + 20", "v": "l + 2", "p": "v + 2", "u": "p + 13", "f": "u + 2", "b": "o + 5", "h": "b + 7", "x": "h + 9", "w": "x + 1", "g": "w + 6", "r": "g + 19", "o": 11}, "premises": {"o": 11}, "target": "f"}, "answer": {"steps": [["u", "p + 13", "p + 15"], ["p", "v + 2", "v + 17"], ["v", "l + 2", "l + 19"], ["l", "a + 20", "a + 39"], ["a", "o + 15", "o + 54"], ["o", 11, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"o": 11}, "is_reverse": true}} | 5,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 15; b = o + 5; u = p + 13; r = g + 19; h = b + 7; x = h + 9; o = 11; f = u + 2; g = w + 6; v = l + 2; l = a + 20; w = x + 1; p = v + 2. If o = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 13 to f, which gives f = p + 15.\n2. Substitute p = v + 2 to f, which gives f = v + 17.\n3. Substitute v = l + 2 to f, which gives f = l + 19.\n4. Substitute l = a + 20 to f, which gives f = a + 39.\n5. Substitute a = o + 15 to f, which gives f = o + 54.\n6. Substitute o = 11 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 5792,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 15; b = o + 5; u = p + 13; r = g + 19; h = b + 7; x = h + 9; o = 11; f = u + 2; g = w + 6; v = l + 2; l = a + 20; w = x + 1; p = v + 2. If o = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 11", "s": "x + 17", "o": "s + 9", "v": "o + 19", "h": "v + 3", "u": "h + 14", "n": "t + 16", "w": "n + 16", "j": "w + 2", "d": "j + 11", "c": "d + 10", "y": "c + 14", "t": 2}, "premises": {"t": 2}, "target": "u"}, "answer": {"steps": [["h", "v + 3", "v + 17"], ["v", "o + 19", "o + 36"], ["o", "s + 9", "s + 45"], ["s", "x + 17", "x + 62"], ["x", "t + 11", "t + 73"], ["t", 2, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"t": 2}, "is_reverse": true}} | 5,793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 19; t = 2; h = v + 3; s = x + 17; y = c + 14; j = w + 2; x = t + 11; w = n + 16; n = t + 16; o = s + 9; c = d + 10; d = j + 11; u = h + 14. Given that t = 2, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 3 to u, which gives u = v + 17.\n2. Substitute v = o + 19 to u, which gives u = o + 36.\n3. Substitute o = s + 9 to u, which gives u = s + 45.\n4. Substitute s = x + 17 to u, which gives u = x + 62.\n5. Substitute x = t + 11 to u, which gives u = t + 73.\n6. Substitute t = 2 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 5793,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 19; t = 2; h = v + 3; s = x + 17; y = c + 14; j = w + 2; x = t + 11; w = n + 16; n = t + 16; o = s + 9; c = d + 10; d = j + 11; u = h + 14. Given that t = 2, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 5", "h": "q + 15", "r": "h + 13", "k": "r + 17", "n": "k + 11", "b": "n + 1", "v": "y + 19", "e": "v + 17", "m": "e + 11", "g": "m + 18", "w": "g + 13", "u": "w + 11", "y": 20}, "premises": {"y": 20}, "target": "b"}, "answer": {"steps": [["n", "k + 11", "k + 12"], ["k", "r + 17", "r + 29"], ["r", "h + 13", "h + 42"], ["h", "q + 15", "q + 57"], ["q", "y + 5", "y + 62"], ["y", 20, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"y": 20}, "is_reverse": true}} | 5,794 | 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 = n + 1; k = r + 17; g = m + 18; w = g + 13; y = 20; e = v + 17; q = y + 5; u = w + 11; m = e + 11; v = y + 19; n = k + 11; r = h + 13; h = q + 15. If y = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 11 to b, which gives b = k + 12.\n2. Substitute k = r + 17 to b, which gives b = r + 29.\n3. Substitute r = h + 13 to b, which gives b = h + 42.\n4. Substitute h = q + 15 to b, which gives b = q + 57.\n5. Substitute q = y + 5 to b, which gives b = y + 62.\n6. Substitute y = 20 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 5794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 1; k = r + 17; g = m + 18; w = g + 13; y = 20; e = v + 17; q = y + 5; u = w + 11; m = e + 11; v = y + 19; n = k + 11; r = h + 13; h = q + 15. If y = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 11", "s": "b + 1", "j": "s + 3", "q": "j + 6", "y": "q + 3", "v": "y + 12", "a": "h + 8", "z": "a + 19", "d": "z + 9", "g": "d + 7", "n": "g + 7", "i": "n + 8", "h": 5}, "premises": {"h": 5}, "target": "v"}, "answer": {"steps": [["y", "q + 3", "q + 15"], ["q", "j + 6", "j + 21"], ["j", "s + 3", "s + 24"], ["s", "b + 1", "b + 25"], ["b", "h + 11", "h + 36"], ["h", 5, "41"]], "target_var_name": "v", "target_value": 41, "value_dict": {"h": 5}, "is_reverse": true}} | 5,795 | 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 = q + 3; q = j + 6; h = 5; i = n + 8; g = d + 7; s = b + 1; j = s + 3; a = h + 8; n = g + 7; b = h + 11; d = z + 9; z = a + 19; v = y + 12. If h = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 3 to v, which gives v = q + 15.\n2. Substitute q = j + 6 to v, which gives v = j + 21.\n3. Substitute j = s + 3 to v, which gives v = s + 24.\n4. Substitute s = b + 1 to v, which gives v = b + 25.\n5. Substitute b = h + 11 to v, which gives v = h + 36.\n6. Substitute h = 5 to v, which gives v = 41.\n\nThus, the final answer is v = \\boxed{41}.",
"index": 5795,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 3; q = j + 6; h = 5; i = n + 8; g = d + 7; s = b + 1; j = s + 3; a = h + 8; n = g + 7; b = h + 11; d = z + 9; z = a + 19; v = y + 12. If h = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 12", "g": "c + 2", "i": "g + 1", "u": "i + 11", "r": "u + 19", "y": "r + 14", "n": "j + 4", "b": "n + 16", "a": "b + 18", "l": "a + 14", "v": "l + 1", "t": "v + 6", "j": 4}, "premises": {"j": 4}, "target": "y"}, "answer": {"steps": [["r", "u + 19", "u + 33"], ["u", "i + 11", "i + 44"], ["i", "g + 1", "g + 45"], ["g", "c + 2", "c + 47"], ["c", "j + 12", "j + 59"], ["j", 4, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"j": 4}, "is_reverse": true}} | 5,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 14; c = j + 12; a = b + 18; t = v + 6; i = g + 1; r = u + 19; l = a + 14; j = 4; g = c + 2; n = j + 4; u = i + 11; v = l + 1; b = n + 16. If j = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 19 to y, which gives y = u + 33.\n2. Substitute u = i + 11 to y, which gives y = i + 44.\n3. Substitute i = g + 1 to y, which gives y = g + 45.\n4. Substitute g = c + 2 to y, which gives y = c + 47.\n5. Substitute c = j + 12 to y, which gives y = j + 59.\n6. Substitute j = 4 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 5796,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 14; c = j + 12; a = b + 18; t = v + 6; i = g + 1; r = u + 19; l = a + 14; j = 4; g = c + 2; n = j + 4; u = i + 11; v = l + 1; b = n + 16. If j = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 16", "q": "x + 5", "p": "q + 13", "f": "p + 10", "y": "f + 6", "t": "y + 5", "r": "e + 16", "u": "r + 11", "n": "u + 7", "h": "n + 9", "i": "h + 6", "c": "i + 16", "e": 5}, "premises": {"e": 5}, "target": "t"}, "answer": {"steps": [["y", "f + 6", "f + 11"], ["f", "p + 10", "p + 21"], ["p", "q + 13", "q + 34"], ["q", "x + 5", "x + 39"], ["x", "e + 16", "e + 55"], ["e", 5, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"e": 5}, "is_reverse": true}} | 5,797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 13; f = p + 10; y = f + 6; i = h + 6; q = x + 5; t = y + 5; x = e + 16; u = r + 11; r = e + 16; e = 5; c = i + 16; h = n + 9; n = u + 7. If e = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 6 to t, which gives t = f + 11.\n2. Substitute f = p + 10 to t, which gives t = p + 21.\n3. Substitute p = q + 13 to t, which gives t = q + 34.\n4. Substitute q = x + 5 to t, which gives t = x + 39.\n5. Substitute x = e + 16 to t, which gives t = e + 55.\n6. Substitute e = 5 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 5797,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 13; f = p + 10; y = f + 6; i = h + 6; q = x + 5; t = y + 5; x = e + 16; u = r + 11; r = e + 16; e = 5; c = i + 16; h = n + 9; n = u + 7. If e = 5, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "h + 7", "n": "y + 14", "w": "n + 13", "o": "w + 1", "d": "o + 11", "v": "d + 4", "g": "h + 20", "t": "g + 13", "f": "t + 7", "k": "f + 4", "l": "k + 19", "q": "l + 14", "h": 10}, "premises": {"h": 10}, "target": "v"}, "answer": {"steps": [["d", "o + 11", "o + 15"], ["o", "w + 1", "w + 16"], ["w", "n + 13", "n + 29"], ["n", "y + 14", "y + 43"], ["y", "h + 7", "h + 50"], ["h", 10, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"h": 10}, "is_reverse": true}} | 5,798 | 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 = n + 13; k = f + 4; v = d + 4; l = k + 19; h = 10; f = t + 7; q = l + 14; t = g + 13; n = y + 14; o = w + 1; g = h + 20; y = h + 7; d = o + 11. If h = 10, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 11 to v, which gives v = o + 15.\n2. Substitute o = w + 1 to v, which gives v = w + 16.\n3. Substitute w = n + 13 to v, which gives v = n + 29.\n4. Substitute n = y + 14 to v, which gives v = y + 43.\n5. Substitute y = h + 7 to v, which gives v = h + 50.\n6. Substitute h = 10 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 5798,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = n + 13; k = f + 4; v = d + 4; l = k + 19; h = 10; f = t + 7; q = l + 14; t = g + 13; n = y + 14; o = w + 1; g = h + 20; y = h + 7; d = o + 11. If h = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 1", "o": "d + 7", "e": "o + 14", "h": "e + 10", "u": "h + 20", "x": "u + 17", "k": "j + 10", "y": "k + 1", "g": "y + 11", "z": "g + 6", "r": "z + 20", "t": "r + 9", "j": 5}, "premises": {"j": 5}, "target": "x"}, "answer": {"steps": [["u", "h + 20", "h + 37"], ["h", "e + 10", "e + 47"], ["e", "o + 14", "o + 61"], ["o", "d + 7", "d + 68"], ["d", "j + 1", "j + 69"], ["j", 5, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"j": 5}, "is_reverse": true}} | 5,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 10; e = o + 14; o = d + 7; z = g + 6; d = j + 1; g = y + 11; y = k + 1; u = h + 20; t = r + 9; r = z + 20; x = u + 17; j = 5; k = j + 10. If j = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 20 to x, which gives x = h + 37.\n2. Substitute h = e + 10 to x, which gives x = e + 47.\n3. Substitute e = o + 14 to x, which gives x = o + 61.\n4. Substitute o = d + 7 to x, which gives x = d + 68.\n5. Substitute d = j + 1 to x, which gives x = j + 69.\n6. Substitute j = 5 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 5799,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 10; e = o + 14; o = d + 7; z = g + 6; d = j + 1; g = y + 11; y = k + 1; u = h + 20; t = r + 9; r = z + 20; x = u + 17; j = 5; k = j + 10. If j = 5, determine the value of x.",
"split": "train"
} |
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