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": {"s": "v + 16", "z": "s + 6", "f": "z + 2", "o": "f + 18", "u": "o + 10", "a": "u + 5", "i": "v + 5", "w": "i + 4", "m": "w + 8", "b": "m + 18", "h": "b + 3", "k": "h + 15", "v": 9}, "premises": {"v": 9}, "target": "a"}, "answer": {"steps": [["u", "o + 10", "o + 15"], ["o", "f + 18", "f + 33"], ["f", "z + 2", "z + 35"], ["z", "s + 6", "s + 41"], ["s", "v + 16", "v + 57"], ["v", 9, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"v": 9}, "is_reverse": true}} | 9,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 15; m = w + 8; h = b + 3; b = m + 18; w = i + 4; o = f + 18; z = s + 6; u = o + 10; i = v + 5; a = u + 5; f = z + 2; s = v + 16; v = 9. Given that v = 9, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 10 to a, which gives a = o + 15.\n2. Substitute o = f + 18 to a, which gives a = f + 33.\n3. Substitute f = z + 2 to a, which gives a = z + 35.\n4. Substitute z = s + 6 to a, which gives a = s + 41.\n5. Substitute s = v + 16 to a, which gives a = v + 57.\n6. Substitute v = 9 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 9800,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 15; m = w + 8; h = b + 3; b = m + 18; w = i + 4; o = f + 18; z = s + 6; u = o + 10; i = v + 5; a = u + 5; f = z + 2; s = v + 16; v = 9. Given that v = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 1", "u": "q + 17", "p": "u + 20", "w": "p + 10", "r": "w + 12", "h": "r + 20", "s": "k + 20", "j": "s + 15", "n": "j + 19", "i": "n + 11", "b": "i + 13", "z": "b + 15", "k": 1}, "premises": {"k": 1}, "target": "h"}, "answer": {"steps": [["r", "w + 12", "w + 32"], ["w", "p + 10", "p + 42"], ["p", "u + 20", "u + 62"], ["u", "q + 17", "q + 79"], ["q", "k + 1", "k + 80"], ["k", 1, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"k": 1}, "is_reverse": true}} | 9,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = i + 13; n = j + 19; r = w + 12; k = 1; p = u + 20; j = s + 15; q = k + 1; z = b + 15; w = p + 10; h = r + 20; u = q + 17; i = n + 11; s = k + 20. Given that k = 1, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 12 to h, which gives h = w + 32.\n2. Substitute w = p + 10 to h, which gives h = p + 42.\n3. Substitute p = u + 20 to h, which gives h = u + 62.\n4. Substitute u = q + 17 to h, which gives h = q + 79.\n5. Substitute q = k + 1 to h, which gives h = k + 80.\n6. Substitute k = 1 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 9801,
"question": "Suppose a collection of variables is related by the following definitions: b = i + 13; n = j + 19; r = w + 12; k = 1; p = u + 20; j = s + 15; q = k + 1; z = b + 15; w = p + 10; h = r + 20; u = q + 17; i = n + 11; s = k + 20. Given that k = 1, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 3", "e": "u + 7", "j": "e + 9", "t": "j + 4", "a": "t + 7", "d": "a + 19", "f": "h + 14", "o": "f + 9", "l": "o + 14", "z": "l + 3", "b": "z + 8", "g": "b + 13", "h": 19}, "premises": {"h": 19}, "target": "d"}, "answer": {"steps": [["a", "t + 7", "t + 26"], ["t", "j + 4", "j + 30"], ["j", "e + 9", "e + 39"], ["e", "u + 7", "u + 46"], ["u", "h + 3", "h + 49"], ["h", 19, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"h": 19}, "is_reverse": true}} | 9,802 | 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 = b + 13; e = u + 7; o = f + 9; z = l + 3; b = z + 8; h = 19; d = a + 19; a = t + 7; t = j + 4; f = h + 14; u = h + 3; l = o + 14; j = e + 9. If h = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 7 to d, which gives d = t + 26.\n2. Substitute t = j + 4 to d, which gives d = j + 30.\n3. Substitute j = e + 9 to d, which gives d = e + 39.\n4. Substitute e = u + 7 to d, which gives d = u + 46.\n5. Substitute u = h + 3 to d, which gives d = h + 49.\n6. Substitute h = 19 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 9802,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = b + 13; e = u + 7; o = f + 9; z = l + 3; b = z + 8; h = 19; d = a + 19; a = t + 7; t = j + 4; f = h + 14; u = h + 3; l = o + 14; j = e + 9. If h = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 7", "u": "t + 14", "b": "u + 1", "a": "b + 10", "q": "a + 13", "e": "q + 3", "f": "h + 4", "n": "f + 3", "d": "n + 9", "p": "d + 1", "g": "p + 2", "m": "g + 18", "h": 17}, "premises": {"h": 17}, "target": "e"}, "answer": {"steps": [["q", "a + 13", "a + 16"], ["a", "b + 10", "b + 26"], ["b", "u + 1", "u + 27"], ["u", "t + 14", "t + 41"], ["t", "h + 7", "h + 48"], ["h", 17, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"h": 17}, "is_reverse": true}} | 9,803 | 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 + 18; q = a + 13; t = h + 7; e = q + 3; b = u + 1; p = d + 1; a = b + 10; d = n + 9; g = p + 2; n = f + 3; f = h + 4; h = 17; u = t + 14. If h = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 13 to e, which gives e = a + 16.\n2. Substitute a = b + 10 to e, which gives e = b + 26.\n3. Substitute b = u + 1 to e, which gives e = u + 27.\n4. Substitute u = t + 14 to e, which gives e = t + 41.\n5. Substitute t = h + 7 to e, which gives e = h + 48.\n6. Substitute h = 17 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 9803,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 18; q = a + 13; t = h + 7; e = q + 3; b = u + 1; p = d + 1; a = b + 10; d = n + 9; g = p + 2; n = f + 3; f = h + 4; h = 17; u = t + 14. If h = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 12", "g": "y + 8", "w": "g + 16", "p": "w + 17", "v": "p + 2", "n": "v + 1", "s": "m + 13", "u": "s + 5", "x": "u + 16", "h": "x + 16", "c": "h + 19", "d": "c + 19", "m": 8}, "premises": {"m": 8}, "target": "n"}, "answer": {"steps": [["v", "p + 2", "p + 3"], ["p", "w + 17", "w + 20"], ["w", "g + 16", "g + 36"], ["g", "y + 8", "y + 44"], ["y", "m + 12", "m + 56"], ["m", 8, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"m": 8}, "is_reverse": true}} | 9,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 16; c = h + 19; x = u + 16; u = s + 5; g = y + 8; p = w + 17; h = x + 16; y = m + 12; m = 8; v = p + 2; s = m + 13; n = v + 1; d = c + 19. If m = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 2 to n, which gives n = p + 3.\n2. Substitute p = w + 17 to n, which gives n = w + 20.\n3. Substitute w = g + 16 to n, which gives n = g + 36.\n4. Substitute g = y + 8 to n, which gives n = y + 44.\n5. Substitute y = m + 12 to n, which gives n = m + 56.\n6. Substitute m = 8 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 9804,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 16; c = h + 19; x = u + 16; u = s + 5; g = y + 8; p = w + 17; h = x + 16; y = m + 12; m = 8; v = p + 2; s = m + 13; n = v + 1; d = c + 19. If m = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 15", "o": "n + 5", "m": "o + 11", "s": "m + 3", "d": "s + 10", "j": "d + 17", "y": "q + 11", "a": "y + 13", "h": "a + 11", "b": "h + 5", "p": "b + 5", "v": "p + 20", "q": 19}, "premises": {"q": 19}, "target": "j"}, "answer": {"steps": [["d", "s + 10", "s + 27"], ["s", "m + 3", "m + 30"], ["m", "o + 11", "o + 41"], ["o", "n + 5", "n + 46"], ["n", "q + 15", "q + 61"], ["q", 19, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"q": 19}, "is_reverse": true}} | 9,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 20; h = a + 11; m = o + 11; b = h + 5; o = n + 5; q = 19; n = q + 15; s = m + 3; j = d + 17; d = s + 10; p = b + 5; a = y + 13; y = q + 11. Given that q = 19, 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 d = s + 10 to j, which gives j = s + 27.\n2. Substitute s = m + 3 to j, which gives j = m + 30.\n3. Substitute m = o + 11 to j, which gives j = o + 41.\n4. Substitute o = n + 5 to j, which gives j = n + 46.\n5. Substitute n = q + 15 to j, which gives j = q + 61.\n6. Substitute q = 19 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 9805,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 20; h = a + 11; m = o + 11; b = h + 5; o = n + 5; q = 19; n = q + 15; s = m + 3; j = d + 17; d = s + 10; p = b + 5; a = y + 13; y = q + 11. Given that q = 19, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 12", "m": "d + 11", "v": "m + 14", "x": "v + 9", "y": "x + 17", "s": "y + 10", "g": "t + 2", "i": "g + 14", "k": "i + 16", "r": "k + 18", "o": "r + 16", "c": "o + 16", "t": 14}, "premises": {"t": 14}, "target": "s"}, "answer": {"steps": [["y", "x + 17", "x + 27"], ["x", "v + 9", "v + 36"], ["v", "m + 14", "m + 50"], ["m", "d + 11", "d + 61"], ["d", "t + 12", "t + 73"], ["t", 14, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"t": 14}, "is_reverse": true}} | 9,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 16; t = 14; s = y + 10; v = m + 14; x = v + 9; c = o + 16; m = d + 11; i = g + 14; g = t + 2; y = x + 17; o = r + 16; r = k + 18; d = t + 12. If t = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 17 to s, which gives s = x + 27.\n2. Substitute x = v + 9 to s, which gives s = v + 36.\n3. Substitute v = m + 14 to s, which gives s = m + 50.\n4. Substitute m = d + 11 to s, which gives s = d + 61.\n5. Substitute d = t + 12 to s, which gives s = t + 73.\n6. Substitute t = 14 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 9806,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 16; t = 14; s = y + 10; v = m + 14; x = v + 9; c = o + 16; m = d + 11; i = g + 14; g = t + 2; y = x + 17; o = r + 16; r = k + 18; d = t + 12. If t = 14, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 8", "o": "m + 17", "g": "o + 2", "x": "g + 2", "w": "x + 5", "d": "w + 14", "p": "b + 9", "i": "p + 19", "z": "i + 11", "h": "z + 17", "r": "h + 14", "v": "r + 17", "b": 10}, "premises": {"b": 10}, "target": "d"}, "answer": {"steps": [["w", "x + 5", "x + 19"], ["x", "g + 2", "g + 21"], ["g", "o + 2", "o + 23"], ["o", "m + 17", "m + 40"], ["m", "b + 8", "b + 48"], ["b", 10, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"b": 10}, "is_reverse": true}} | 9,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 17; i = p + 19; m = b + 8; p = b + 9; h = z + 17; x = g + 2; g = o + 2; b = 10; w = x + 5; o = m + 17; d = w + 14; r = h + 14; z = i + 11. If b = 10, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 5 to d, which gives d = x + 19.\n2. Substitute x = g + 2 to d, which gives d = g + 21.\n3. Substitute g = o + 2 to d, which gives d = o + 23.\n4. Substitute o = m + 17 to d, which gives d = m + 40.\n5. Substitute m = b + 8 to d, which gives d = b + 48.\n6. Substitute b = 10 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 9807,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 17; i = p + 19; m = b + 8; p = b + 9; h = z + 17; x = g + 2; g = o + 2; b = 10; w = x + 5; o = m + 17; d = w + 14; r = h + 14; z = i + 11. If b = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 15", "j": "z + 8", "v": "j + 1", "r": "v + 5", "k": "r + 9", "x": "k + 11", "o": "y + 15", "w": "o + 14", "s": "w + 16", "i": "s + 4", "u": "i + 6", "l": "u + 8", "y": 18}, "premises": {"y": 18}, "target": "x"}, "answer": {"steps": [["k", "r + 9", "r + 20"], ["r", "v + 5", "v + 25"], ["v", "j + 1", "j + 26"], ["j", "z + 8", "z + 34"], ["z", "y + 15", "y + 49"], ["y", 18, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"y": 18}, "is_reverse": true}} | 9,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 9; o = y + 15; y = 18; l = u + 8; x = k + 11; j = z + 8; i = s + 4; u = i + 6; z = y + 15; v = j + 1; w = o + 14; s = w + 16; r = v + 5. Given that y = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 9 to x, which gives x = r + 20.\n2. Substitute r = v + 5 to x, which gives x = v + 25.\n3. Substitute v = j + 1 to x, which gives x = j + 26.\n4. Substitute j = z + 8 to x, which gives x = z + 34.\n5. Substitute z = y + 15 to x, which gives x = y + 49.\n6. Substitute y = 18 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 9808,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 9; o = y + 15; y = 18; l = u + 8; x = k + 11; j = z + 8; i = s + 4; u = i + 6; z = y + 15; v = j + 1; w = o + 14; s = w + 16; r = v + 5. Given that y = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 18", "s": "a + 4", "e": "s + 13", "o": "e + 1", "n": "o + 20", "b": "n + 10", "r": "v + 7", "x": "r + 15", "y": "x + 13", "p": "y + 16", "d": "p + 15", "t": "d + 14", "v": 16}, "premises": {"v": 16}, "target": "b"}, "answer": {"steps": [["n", "o + 20", "o + 30"], ["o", "e + 1", "e + 31"], ["e", "s + 13", "s + 44"], ["s", "a + 4", "a + 48"], ["a", "v + 18", "v + 66"], ["v", 16, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"v": 16}, "is_reverse": true}} | 9,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 16; b = n + 10; o = e + 1; s = a + 4; p = y + 16; t = d + 14; x = r + 15; a = v + 18; d = p + 15; y = x + 13; r = v + 7; n = o + 20; e = s + 13. Given that v = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 20 to b, which gives b = o + 30.\n2. Substitute o = e + 1 to b, which gives b = e + 31.\n3. Substitute e = s + 13 to b, which gives b = s + 44.\n4. Substitute s = a + 4 to b, which gives b = a + 48.\n5. Substitute a = v + 18 to b, which gives b = v + 66.\n6. Substitute v = 16 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 9809,
"question": "Suppose a collection of variables is related by the following definitions: v = 16; b = n + 10; o = e + 1; s = a + 4; p = y + 16; t = d + 14; x = r + 15; a = v + 18; d = p + 15; y = x + 13; r = v + 7; n = o + 20; e = s + 13. Given that v = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 9", "a": "t + 14", "j": "a + 19", "s": "j + 15", "f": "s + 17", "m": "f + 11", "x": "g + 1", "h": "x + 13", "r": "h + 8", "w": "r + 19", "l": "w + 13", "o": "l + 20", "g": 20}, "premises": {"g": 20}, "target": "m"}, "answer": {"steps": [["f", "s + 17", "s + 28"], ["s", "j + 15", "j + 43"], ["j", "a + 19", "a + 62"], ["a", "t + 14", "t + 76"], ["t", "g + 9", "g + 85"], ["g", 20, "105"]], "target_var_name": "m", "target_value": 105, "value_dict": {"g": 20}, "is_reverse": true}} | 9,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 19; g = 20; l = w + 13; w = r + 19; o = l + 20; m = f + 11; h = x + 13; a = t + 14; x = g + 1; r = h + 8; f = s + 17; s = j + 15; t = g + 9. If g = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = s + 17 to m, which gives m = s + 28.\n2. Substitute s = j + 15 to m, which gives m = j + 43.\n3. Substitute j = a + 19 to m, which gives m = a + 62.\n4. Substitute a = t + 14 to m, which gives m = t + 76.\n5. Substitute t = g + 9 to m, which gives m = g + 85.\n6. Substitute g = 20 to m, which gives m = 105.\n\nThus, the final answer is m = \\boxed{105}.",
"index": 9810,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 19; g = 20; l = w + 13; w = r + 19; o = l + 20; m = f + 11; h = x + 13; a = t + 14; x = g + 1; r = h + 8; f = s + 17; s = j + 15; t = g + 9. If g = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 14", "i": "u + 8", "l": "i + 4", "j": "l + 11", "n": "j + 11", "k": "n + 8", "e": "g + 11", "w": "e + 3", "a": "w + 14", "x": "a + 10", "o": "x + 2", "v": "o + 18", "g": 13}, "premises": {"g": 13}, "target": "k"}, "answer": {"steps": [["n", "j + 11", "j + 19"], ["j", "l + 11", "l + 30"], ["l", "i + 4", "i + 34"], ["i", "u + 8", "u + 42"], ["u", "g + 14", "g + 56"], ["g", 13, "69"]], "target_var_name": "k", "target_value": 69, "value_dict": {"g": 13}, "is_reverse": true}} | 9,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = l + 11; x = a + 10; g = 13; u = g + 14; w = e + 3; a = w + 14; v = o + 18; k = n + 8; l = i + 4; i = u + 8; n = j + 11; e = g + 11; o = x + 2. If g = 13, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 11 to k, which gives k = j + 19.\n2. Substitute j = l + 11 to k, which gives k = l + 30.\n3. Substitute l = i + 4 to k, which gives k = i + 34.\n4. Substitute i = u + 8 to k, which gives k = u + 42.\n5. Substitute u = g + 14 to k, which gives k = g + 56.\n6. Substitute g = 13 to k, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 9811,
"question": "Consider a system of variables where each variable is defined as follows: j = l + 11; x = a + 10; g = 13; u = g + 14; w = e + 3; a = w + 14; v = o + 18; k = n + 8; l = i + 4; i = u + 8; n = j + 11; e = g + 11; o = x + 2. If g = 13, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 16", "x": "j + 2", "h": "x + 17", "o": "h + 15", "e": "o + 13", "c": "e + 2", "b": "u + 8", "g": "b + 3", "y": "g + 17", "m": "y + 11", "t": "m + 5", "d": "t + 10", "u": 13}, "premises": {"u": 13}, "target": "c"}, "answer": {"steps": [["e", "o + 13", "o + 15"], ["o", "h + 15", "h + 30"], ["h", "x + 17", "x + 47"], ["x", "j + 2", "j + 49"], ["j", "u + 16", "u + 65"], ["u", 13, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"u": 13}, "is_reverse": true}} | 9,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 11; e = o + 13; c = e + 2; t = m + 5; y = g + 17; u = 13; x = j + 2; h = x + 17; j = u + 16; b = u + 8; o = h + 15; d = t + 10; g = b + 3. Given that u = 13, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 13 to c, which gives c = o + 15.\n2. Substitute o = h + 15 to c, which gives c = h + 30.\n3. Substitute h = x + 17 to c, which gives c = x + 47.\n4. Substitute x = j + 2 to c, which gives c = j + 49.\n5. Substitute j = u + 16 to c, which gives c = u + 65.\n6. Substitute u = 13 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 9812,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 11; e = o + 13; c = e + 2; t = m + 5; y = g + 17; u = 13; x = j + 2; h = x + 17; j = u + 16; b = u + 8; o = h + 15; d = t + 10; g = b + 3. Given that u = 13, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 12", "k": "l + 6", "w": "k + 16", "z": "w + 1", "t": "z + 8", "v": "t + 2", "b": "r + 15", "m": "b + 11", "j": "m + 17", "i": "j + 2", "s": "i + 6", "y": "s + 11", "r": 13}, "premises": {"r": 13}, "target": "v"}, "answer": {"steps": [["t", "z + 8", "z + 10"], ["z", "w + 1", "w + 11"], ["w", "k + 16", "k + 27"], ["k", "l + 6", "l + 33"], ["l", "r + 12", "r + 45"], ["r", 13, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"r": 13}, "is_reverse": true}} | 9,813 | 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 = s + 11; j = m + 17; m = b + 11; z = w + 1; r = 13; s = i + 6; t = z + 8; w = k + 16; i = j + 2; k = l + 6; l = r + 12; v = t + 2; b = r + 15. If r = 13, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 8 to v, which gives v = z + 10.\n2. Substitute z = w + 1 to v, which gives v = w + 11.\n3. Substitute w = k + 16 to v, which gives v = k + 27.\n4. Substitute k = l + 6 to v, which gives v = l + 33.\n5. Substitute l = r + 12 to v, which gives v = r + 45.\n6. Substitute r = 13 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 9813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 11; j = m + 17; m = b + 11; z = w + 1; r = 13; s = i + 6; t = z + 8; w = k + 16; i = j + 2; k = l + 6; l = r + 12; v = t + 2; b = r + 15. If r = 13, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 6", "l": "t + 18", "g": "l + 11", "c": "g + 8", "u": "c + 3", "n": "u + 19", "i": "z + 8", "v": "i + 3", "s": "v + 17", "x": "s + 3", "f": "x + 17", "q": "f + 5", "z": 4}, "premises": {"z": 4}, "target": "n"}, "answer": {"steps": [["u", "c + 3", "c + 22"], ["c", "g + 8", "g + 30"], ["g", "l + 11", "l + 41"], ["l", "t + 18", "t + 59"], ["t", "z + 6", "z + 65"], ["z", 4, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"z": 4}, "is_reverse": true}} | 9,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = x + 17; t = z + 6; q = f + 5; u = c + 3; i = z + 8; z = 4; s = v + 17; c = g + 8; x = s + 3; l = t + 18; g = l + 11; n = u + 19; v = i + 3. If z = 4, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 3 to n, which gives n = c + 22.\n2. Substitute c = g + 8 to n, which gives n = g + 30.\n3. Substitute g = l + 11 to n, which gives n = l + 41.\n4. Substitute l = t + 18 to n, which gives n = t + 59.\n5. Substitute t = z + 6 to n, which gives n = z + 65.\n6. Substitute z = 4 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 9814,
"question": "Consider a system of variables where each variable is defined as follows: f = x + 17; t = z + 6; q = f + 5; u = c + 3; i = z + 8; z = 4; s = v + 17; c = g + 8; x = s + 3; l = t + 18; g = l + 11; n = u + 19; v = i + 3. If z = 4, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 1", "d": "t + 13", "w": "d + 13", "v": "w + 13", "h": "v + 11", "x": "h + 7", "b": "o + 1", "a": "b + 20", "n": "a + 11", "j": "n + 13", "l": "j + 2", "p": "l + 14", "o": 17}, "premises": {"o": 17}, "target": "x"}, "answer": {"steps": [["h", "v + 11", "v + 18"], ["v", "w + 13", "w + 31"], ["w", "d + 13", "d + 44"], ["d", "t + 13", "t + 57"], ["t", "o + 1", "o + 58"], ["o", 17, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"o": 17}, "is_reverse": true}} | 9,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 11; b = o + 1; h = v + 11; p = l + 14; d = t + 13; j = n + 13; w = d + 13; v = w + 13; a = b + 20; t = o + 1; o = 17; x = h + 7; l = j + 2. If o = 17, determine the value of x.",
"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 + 11 to x, which gives x = v + 18.\n2. Substitute v = w + 13 to x, which gives x = w + 31.\n3. Substitute w = d + 13 to x, which gives x = d + 44.\n4. Substitute d = t + 13 to x, which gives x = t + 57.\n5. Substitute t = o + 1 to x, which gives x = o + 58.\n6. Substitute o = 17 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 9815,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 11; b = o + 1; h = v + 11; p = l + 14; d = t + 13; j = n + 13; w = d + 13; v = w + 13; a = b + 20; t = o + 1; o = 17; x = h + 7; l = j + 2. If o = 17, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 10", "s": "u + 19", "p": "s + 9", "c": "p + 5", "f": "c + 19", "e": "f + 14", "l": "r + 5", "j": "l + 19", "h": "j + 16", "m": "h + 2", "w": "m + 10", "t": "w + 19", "r": 18}, "premises": {"r": 18}, "target": "e"}, "answer": {"steps": [["f", "c + 19", "c + 33"], ["c", "p + 5", "p + 38"], ["p", "s + 9", "s + 47"], ["s", "u + 19", "u + 66"], ["u", "r + 10", "r + 76"], ["r", 18, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"r": 18}, "is_reverse": true}} | 9,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 19; c = p + 5; r = 18; h = j + 16; j = l + 19; s = u + 19; w = m + 10; u = r + 10; l = r + 5; m = h + 2; t = w + 19; e = f + 14; p = s + 9. If r = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 19 to e, which gives e = c + 33.\n2. Substitute c = p + 5 to e, which gives e = p + 38.\n3. Substitute p = s + 9 to e, which gives e = s + 47.\n4. Substitute s = u + 19 to e, which gives e = u + 66.\n5. Substitute u = r + 10 to e, which gives e = r + 76.\n6. Substitute r = 18 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 9816,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 19; c = p + 5; r = 18; h = j + 16; j = l + 19; s = u + 19; w = m + 10; u = r + 10; l = r + 5; m = h + 2; t = w + 19; e = f + 14; p = s + 9. If r = 18, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 8", "q": "j + 2", "h": "q + 12", "t": "h + 20", "n": "t + 15", "d": "n + 7", "w": "y + 8", "v": "w + 16", "a": "v + 17", "z": "a + 1", "k": "z + 3", "p": "k + 1", "y": 10}, "premises": {"y": 10}, "target": "d"}, "answer": {"steps": [["n", "t + 15", "t + 22"], ["t", "h + 20", "h + 42"], ["h", "q + 12", "q + 54"], ["q", "j + 2", "j + 56"], ["j", "y + 8", "y + 64"], ["y", 10, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"y": 10}, "is_reverse": true}} | 9,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 1; v = w + 16; n = t + 15; z = a + 1; a = v + 17; j = y + 8; d = n + 7; y = 10; k = z + 3; w = y + 8; t = h + 20; q = j + 2; h = q + 12. Given that y = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 15 to d, which gives d = t + 22.\n2. Substitute t = h + 20 to d, which gives d = h + 42.\n3. Substitute h = q + 12 to d, which gives d = q + 54.\n4. Substitute q = j + 2 to d, which gives d = j + 56.\n5. Substitute j = y + 8 to d, which gives d = y + 64.\n6. Substitute y = 10 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 9817,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 1; v = w + 16; n = t + 15; z = a + 1; a = v + 17; j = y + 8; d = n + 7; y = 10; k = z + 3; w = y + 8; t = h + 20; q = j + 2; h = q + 12. Given that y = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 3", "d": "e + 8", "q": "d + 18", "n": "q + 14", "u": "n + 18", "w": "u + 16", "b": "l + 18", "s": "b + 12", "p": "s + 6", "o": "p + 3", "k": "o + 7", "c": "k + 20", "l": 10}, "premises": {"l": 10}, "target": "w"}, "answer": {"steps": [["u", "n + 18", "n + 34"], ["n", "q + 14", "q + 48"], ["q", "d + 18", "d + 66"], ["d", "e + 8", "e + 74"], ["e", "l + 3", "l + 77"], ["l", 10, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"l": 10}, "is_reverse": true}} | 9,818 | 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 = d + 18; o = p + 3; w = u + 16; e = l + 3; k = o + 7; l = 10; d = e + 8; s = b + 12; u = n + 18; p = s + 6; c = k + 20; b = l + 18; n = q + 14. If l = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 18 to w, which gives w = n + 34.\n2. Substitute n = q + 14 to w, which gives w = q + 48.\n3. Substitute q = d + 18 to w, which gives w = d + 66.\n4. Substitute d = e + 8 to w, which gives w = e + 74.\n5. Substitute e = l + 3 to w, which gives w = l + 77.\n6. Substitute l = 10 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 9818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 18; o = p + 3; w = u + 16; e = l + 3; k = o + 7; l = 10; d = e + 8; s = b + 12; u = n + 18; p = s + 6; c = k + 20; b = l + 18; n = q + 14. If l = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 18", "u": "e + 20", "k": "u + 19", "w": "k + 18", "h": "w + 5", "c": "h + 5", "s": "g + 13", "p": "s + 10", "j": "p + 2", "z": "j + 13", "i": "z + 11", "a": "i + 7", "g": 13}, "premises": {"g": 13}, "target": "c"}, "answer": {"steps": [["h", "w + 5", "w + 10"], ["w", "k + 18", "k + 28"], ["k", "u + 19", "u + 47"], ["u", "e + 20", "e + 67"], ["e", "g + 18", "g + 85"], ["g", 13, "98"]], "target_var_name": "c", "target_value": 98, "value_dict": {"g": 13}, "is_reverse": true}} | 9,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = j + 13; g = 13; i = z + 11; h = w + 5; k = u + 19; c = h + 5; e = g + 18; s = g + 13; j = p + 2; a = i + 7; p = s + 10; u = e + 20; w = k + 18. If g = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 5 to c, which gives c = w + 10.\n2. Substitute w = k + 18 to c, which gives c = k + 28.\n3. Substitute k = u + 19 to c, which gives c = u + 47.\n4. Substitute u = e + 20 to c, which gives c = e + 67.\n5. Substitute e = g + 18 to c, which gives c = g + 85.\n6. Substitute g = 13 to c, which gives c = 98.\n\nThus, the final answer is c = \\boxed{98}.",
"index": 9819,
"question": "Consider a system of variables where each variable is defined as follows: z = j + 13; g = 13; i = z + 11; h = w + 5; k = u + 19; c = h + 5; e = g + 18; s = g + 13; j = p + 2; a = i + 7; p = s + 10; u = e + 20; w = k + 18. If g = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 8", "h": "c + 12", "j": "h + 13", "f": "j + 18", "v": "f + 9", "w": "v + 20", "s": "p + 18", "y": "s + 9", "g": "y + 20", "r": "g + 16", "e": "r + 16", "n": "e + 19", "p": 19}, "premises": {"p": 19}, "target": "w"}, "answer": {"steps": [["v", "f + 9", "f + 29"], ["f", "j + 18", "j + 47"], ["j", "h + 13", "h + 60"], ["h", "c + 12", "c + 72"], ["c", "p + 8", "p + 80"], ["p", 19, "99"]], "target_var_name": "w", "target_value": 99, "value_dict": {"p": 19}, "is_reverse": true}} | 9,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 20; y = s + 9; n = e + 19; p = 19; c = p + 8; h = c + 12; e = r + 16; j = h + 13; f = j + 18; v = f + 9; g = y + 20; s = p + 18; r = g + 16. If p = 19, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 9 to w, which gives w = f + 29.\n2. Substitute f = j + 18 to w, which gives w = j + 47.\n3. Substitute j = h + 13 to w, which gives w = h + 60.\n4. Substitute h = c + 12 to w, which gives w = c + 72.\n5. Substitute c = p + 8 to w, which gives w = p + 80.\n6. Substitute p = 19 to w, which gives w = 99.\n\nThus, the final answer is w = \\boxed{99}.",
"index": 9820,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 20; y = s + 9; n = e + 19; p = 19; c = p + 8; h = c + 12; e = r + 16; j = h + 13; f = j + 18; v = f + 9; g = y + 20; s = p + 18; r = g + 16. If p = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 7", "b": "d + 18", "r": "b + 11", "c": "r + 20", "v": "c + 3", "f": "v + 13", "h": "n + 19", "l": "h + 15", "e": "l + 2", "k": "e + 4", "i": "k + 14", "y": "i + 1", "n": 2}, "premises": {"n": 2}, "target": "f"}, "answer": {"steps": [["v", "c + 3", "c + 16"], ["c", "r + 20", "r + 36"], ["r", "b + 11", "b + 47"], ["b", "d + 18", "d + 65"], ["d", "n + 7", "n + 72"], ["n", 2, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"n": 2}, "is_reverse": true}} | 9,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 4; e = l + 2; h = n + 19; f = v + 13; b = d + 18; y = i + 1; r = b + 11; c = r + 20; i = k + 14; d = n + 7; v = c + 3; n = 2; l = h + 15. If n = 2, what is the resulting 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 v = c + 3 to f, which gives f = c + 16.\n2. Substitute c = r + 20 to f, which gives f = r + 36.\n3. Substitute r = b + 11 to f, which gives f = b + 47.\n4. Substitute b = d + 18 to f, which gives f = d + 65.\n5. Substitute d = n + 7 to f, which gives f = n + 72.\n6. Substitute n = 2 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 9821,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 4; e = l + 2; h = n + 19; f = v + 13; b = d + 18; y = i + 1; r = b + 11; c = r + 20; i = k + 14; d = n + 7; v = c + 3; n = 2; l = h + 15. If n = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 17", "t": "a + 6", "w": "t + 3", "h": "w + 20", "r": "h + 1", "z": "r + 2", "y": "o + 11", "u": "y + 15", "n": "u + 8", "x": "n + 16", "i": "x + 13", "k": "i + 20", "o": 5}, "premises": {"o": 5}, "target": "z"}, "answer": {"steps": [["r", "h + 1", "h + 3"], ["h", "w + 20", "w + 23"], ["w", "t + 3", "t + 26"], ["t", "a + 6", "a + 32"], ["a", "o + 17", "o + 49"], ["o", 5, "54"]], "target_var_name": "z", "target_value": 54, "value_dict": {"o": 5}, "is_reverse": true}} | 9,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 5; w = t + 3; i = x + 13; a = o + 17; n = u + 8; z = r + 2; u = y + 15; t = a + 6; y = o + 11; h = w + 20; x = n + 16; r = h + 1; k = i + 20. If o = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 1 to z, which gives z = h + 3.\n2. Substitute h = w + 20 to z, which gives z = w + 23.\n3. Substitute w = t + 3 to z, which gives z = t + 26.\n4. Substitute t = a + 6 to z, which gives z = a + 32.\n5. Substitute a = o + 17 to z, which gives z = o + 49.\n6. Substitute o = 5 to z, which gives z = 54.\n\nThus, the final answer is z = \\boxed{54}.",
"index": 9822,
"question": "Consider a system of variables where each variable is defined as follows: o = 5; w = t + 3; i = x + 13; a = o + 17; n = u + 8; z = r + 2; u = y + 15; t = a + 6; y = o + 11; h = w + 20; x = n + 16; r = h + 1; k = i + 20. If o = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 3", "n": "d + 9", "e": "n + 10", "y": "e + 8", "g": "y + 19", "s": "g + 3", "j": "i + 7", "a": "j + 10", "k": "a + 17", "l": "k + 13", "u": "l + 11", "z": "u + 6", "i": 15}, "premises": {"i": 15}, "target": "s"}, "answer": {"steps": [["g", "y + 19", "y + 22"], ["y", "e + 8", "e + 30"], ["e", "n + 10", "n + 40"], ["n", "d + 9", "d + 49"], ["d", "i + 3", "i + 52"], ["i", 15, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"i": 15}, "is_reverse": true}} | 9,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = u + 6; n = d + 9; e = n + 10; d = i + 3; l = k + 13; y = e + 8; j = i + 7; s = g + 3; u = l + 11; g = y + 19; k = a + 17; a = j + 10; i = 15. If i = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 19 to s, which gives s = y + 22.\n2. Substitute y = e + 8 to s, which gives s = e + 30.\n3. Substitute e = n + 10 to s, which gives s = n + 40.\n4. Substitute n = d + 9 to s, which gives s = d + 49.\n5. Substitute d = i + 3 to s, which gives s = i + 52.\n6. Substitute i = 15 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 9823,
"question": "Consider a system of variables where each variable is defined as follows: z = u + 6; n = d + 9; e = n + 10; d = i + 3; l = k + 13; y = e + 8; j = i + 7; s = g + 3; u = l + 11; g = y + 19; k = a + 17; a = j + 10; i = 15. If i = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 18", "j": "h + 18", "o": "j + 4", "i": "o + 4", "k": "i + 10", "f": "k + 14", "w": "v + 13", "t": "w + 18", "x": "t + 8", "r": "x + 3", "z": "r + 2", "q": "z + 16", "v": 1}, "premises": {"v": 1}, "target": "f"}, "answer": {"steps": [["k", "i + 10", "i + 24"], ["i", "o + 4", "o + 28"], ["o", "j + 4", "j + 32"], ["j", "h + 18", "h + 50"], ["h", "v + 18", "v + 68"], ["v", 1, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"v": 1}, "is_reverse": true}} | 9,824 | 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 = r + 2; v = 1; f = k + 14; q = z + 16; k = i + 10; i = o + 4; x = t + 8; w = v + 13; h = v + 18; o = j + 4; j = h + 18; t = w + 18; r = x + 3. If v = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 10 to f, which gives f = i + 24.\n2. Substitute i = o + 4 to f, which gives f = o + 28.\n3. Substitute o = j + 4 to f, which gives f = j + 32.\n4. Substitute j = h + 18 to f, which gives f = h + 50.\n5. Substitute h = v + 18 to f, which gives f = v + 68.\n6. Substitute v = 1 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 9824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = r + 2; v = 1; f = k + 14; q = z + 16; k = i + 10; i = o + 4; x = t + 8; w = v + 13; h = v + 18; o = j + 4; j = h + 18; t = w + 18; r = x + 3. If v = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 8", "p": "s + 5", "h": "p + 20", "b": "h + 11", "d": "b + 4", "w": "d + 20", "y": "q + 6", "x": "y + 20", "m": "x + 18", "k": "m + 12", "g": "k + 4", "e": "g + 9", "q": 12}, "premises": {"q": 12}, "target": "w"}, "answer": {"steps": [["d", "b + 4", "b + 24"], ["b", "h + 11", "h + 35"], ["h", "p + 20", "p + 55"], ["p", "s + 5", "s + 60"], ["s", "q + 8", "q + 68"], ["q", 12, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"q": 12}, "is_reverse": true}} | 9,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 4; e = g + 9; w = d + 20; m = x + 18; k = m + 12; b = h + 11; x = y + 20; p = s + 5; d = b + 4; q = 12; h = p + 20; y = q + 6; s = q + 8. If q = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 4 to w, which gives w = b + 24.\n2. Substitute b = h + 11 to w, which gives w = h + 35.\n3. Substitute h = p + 20 to w, which gives w = p + 55.\n4. Substitute p = s + 5 to w, which gives w = s + 60.\n5. Substitute s = q + 8 to w, which gives w = q + 68.\n6. Substitute q = 12 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 9825,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 4; e = g + 9; w = d + 20; m = x + 18; k = m + 12; b = h + 11; x = y + 20; p = s + 5; d = b + 4; q = 12; h = p + 20; y = q + 6; s = q + 8. If q = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 13", "u": "s + 13", "l": "u + 17", "o": "l + 8", "a": "o + 16", "m": "a + 8", "b": "k + 2", "h": "b + 17", "f": "h + 1", "p": "f + 3", "i": "p + 6", "v": "i + 12", "k": 11}, "premises": {"k": 11}, "target": "m"}, "answer": {"steps": [["a", "o + 16", "o + 24"], ["o", "l + 8", "l + 32"], ["l", "u + 17", "u + 49"], ["u", "s + 13", "s + 62"], ["s", "k + 13", "k + 75"], ["k", 11, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"k": 11}, "is_reverse": true}} | 9,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 12; a = o + 16; h = b + 17; i = p + 6; l = u + 17; o = l + 8; k = 11; m = a + 8; b = k + 2; p = f + 3; f = h + 1; u = s + 13; s = k + 13. If k = 11, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 16 to m, which gives m = o + 24.\n2. Substitute o = l + 8 to m, which gives m = l + 32.\n3. Substitute l = u + 17 to m, which gives m = u + 49.\n4. Substitute u = s + 13 to m, which gives m = s + 62.\n5. Substitute s = k + 13 to m, which gives m = k + 75.\n6. Substitute k = 11 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 9826,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 12; a = o + 16; h = b + 17; i = p + 6; l = u + 17; o = l + 8; k = 11; m = a + 8; b = k + 2; p = f + 3; f = h + 1; u = s + 13; s = k + 13. If k = 11, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 4", "r": "m + 8", "j": "r + 18", "d": "j + 5", "q": "d + 14", "y": "q + 10", "v": "p + 1", "c": "v + 18", "w": "c + 7", "f": "w + 7", "u": "f + 18", "b": "u + 5", "p": 19}, "premises": {"p": 19}, "target": "y"}, "answer": {"steps": [["q", "d + 14", "d + 24"], ["d", "j + 5", "j + 29"], ["j", "r + 18", "r + 47"], ["r", "m + 8", "m + 55"], ["m", "p + 4", "p + 59"], ["p", 19, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"p": 19}, "is_reverse": true}} | 9,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 19; q = d + 14; c = v + 18; v = p + 1; m = p + 4; b = u + 5; w = c + 7; d = j + 5; j = r + 18; y = q + 10; f = w + 7; r = m + 8; u = f + 18. Given that p = 19, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 14 to y, which gives y = d + 24.\n2. Substitute d = j + 5 to y, which gives y = j + 29.\n3. Substitute j = r + 18 to y, which gives y = r + 47.\n4. Substitute r = m + 8 to y, which gives y = m + 55.\n5. Substitute m = p + 4 to y, which gives y = p + 59.\n6. Substitute p = 19 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 9827,
"question": "Suppose a collection of variables is related by the following definitions: p = 19; q = d + 14; c = v + 18; v = p + 1; m = p + 4; b = u + 5; w = c + 7; d = j + 5; j = r + 18; y = q + 10; f = w + 7; r = m + 8; u = f + 18. Given that p = 19, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 1", "r": "j + 10", "z": "r + 4", "y": "z + 13", "n": "y + 16", "q": "n + 19", "i": "t + 7", "m": "i + 14", "f": "m + 14", "p": "f + 7", "d": "p + 13", "w": "d + 6", "t": 10}, "premises": {"t": 10}, "target": "q"}, "answer": {"steps": [["n", "y + 16", "y + 35"], ["y", "z + 13", "z + 48"], ["z", "r + 4", "r + 52"], ["r", "j + 10", "j + 62"], ["j", "t + 1", "t + 63"], ["t", 10, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"t": 10}, "is_reverse": true}} | 9,828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 14; t = 10; j = t + 1; w = d + 6; p = f + 7; i = t + 7; d = p + 13; m = i + 14; r = j + 10; q = n + 19; n = y + 16; z = r + 4; y = z + 13. If t = 10, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 16 to q, which gives q = y + 35.\n2. Substitute y = z + 13 to q, which gives q = z + 48.\n3. Substitute z = r + 4 to q, which gives q = r + 52.\n4. Substitute r = j + 10 to q, which gives q = j + 62.\n5. Substitute j = t + 1 to q, which gives q = t + 63.\n6. Substitute t = 10 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 9828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 14; t = 10; j = t + 1; w = d + 6; p = f + 7; i = t + 7; d = p + 13; m = i + 14; r = j + 10; q = n + 19; n = y + 16; z = r + 4; y = z + 13. If t = 10, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 13", "f": "d + 13", "a": "f + 11", "b": "a + 16", "k": "b + 10", "z": "k + 19", "l": "r + 6", "g": "l + 3", "c": "g + 1", "q": "c + 15", "x": "q + 18", "y": "x + 4", "r": 20}, "premises": {"r": 20}, "target": "z"}, "answer": {"steps": [["k", "b + 10", "b + 29"], ["b", "a + 16", "a + 45"], ["a", "f + 11", "f + 56"], ["f", "d + 13", "d + 69"], ["d", "r + 13", "r + 82"], ["r", 20, "102"]], "target_var_name": "z", "target_value": 102, "value_dict": {"r": 20}, "is_reverse": true}} | 9,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 10; f = d + 13; x = q + 18; c = g + 1; l = r + 6; d = r + 13; r = 20; y = x + 4; q = c + 15; g = l + 3; b = a + 16; z = k + 19; a = f + 11. If r = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 10 to z, which gives z = b + 29.\n2. Substitute b = a + 16 to z, which gives z = a + 45.\n3. Substitute a = f + 11 to z, which gives z = f + 56.\n4. Substitute f = d + 13 to z, which gives z = d + 69.\n5. Substitute d = r + 13 to z, which gives z = r + 82.\n6. Substitute r = 20 to z, which gives z = 102.\n\nThus, the final answer is z = \\boxed{102}.",
"index": 9829,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 10; f = d + 13; x = q + 18; c = g + 1; l = r + 6; d = r + 13; r = 20; y = x + 4; q = c + 15; g = l + 3; b = a + 16; z = k + 19; a = f + 11. If r = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 14", "w": "c + 6", "p": "w + 7", "j": "p + 20", "g": "j + 12", "i": "g + 4", "b": "r + 19", "k": "b + 8", "t": "k + 8", "u": "t + 7", "h": "u + 15", "x": "h + 17", "r": 7}, "premises": {"r": 7}, "target": "i"}, "answer": {"steps": [["g", "j + 12", "j + 16"], ["j", "p + 20", "p + 36"], ["p", "w + 7", "w + 43"], ["w", "c + 6", "c + 49"], ["c", "r + 14", "r + 63"], ["r", 7, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"r": 7}, "is_reverse": true}} | 9,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 7; k = b + 8; g = j + 12; j = p + 20; h = u + 15; i = g + 4; t = k + 8; r = 7; w = c + 6; x = h + 17; p = w + 7; b = r + 19; c = r + 14. If r = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 12 to i, which gives i = j + 16.\n2. Substitute j = p + 20 to i, which gives i = p + 36.\n3. Substitute p = w + 7 to i, which gives i = w + 43.\n4. Substitute w = c + 6 to i, which gives i = c + 49.\n5. Substitute c = r + 14 to i, which gives i = r + 63.\n6. Substitute r = 7 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 9830,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 7; k = b + 8; g = j + 12; j = p + 20; h = u + 15; i = g + 4; t = k + 8; r = 7; w = c + 6; x = h + 17; p = w + 7; b = r + 19; c = r + 14. If r = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 19", "n": "x + 17", "v": "n + 18", "r": "v + 19", "s": "r + 1", "y": "s + 13", "e": "m + 3", "i": "e + 16", "p": "i + 8", "o": "p + 8", "z": "o + 19", "q": "z + 3", "m": 20}, "premises": {"m": 20}, "target": "y"}, "answer": {"steps": [["s", "r + 1", "r + 14"], ["r", "v + 19", "v + 33"], ["v", "n + 18", "n + 51"], ["n", "x + 17", "x + 68"], ["x", "m + 19", "m + 87"], ["m", 20, "107"]], "target_var_name": "y", "target_value": 107, "value_dict": {"m": 20}, "is_reverse": true}} | 9,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 8; r = v + 19; n = x + 17; q = z + 3; m = 20; v = n + 18; p = i + 8; e = m + 3; s = r + 1; i = e + 16; x = m + 19; z = o + 19; y = s + 13. Given that m = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 1 to y, which gives y = r + 14.\n2. Substitute r = v + 19 to y, which gives y = v + 33.\n3. Substitute v = n + 18 to y, which gives y = n + 51.\n4. Substitute n = x + 17 to y, which gives y = x + 68.\n5. Substitute x = m + 19 to y, which gives y = m + 87.\n6. Substitute m = 20 to y, which gives y = 107.\n\nThus, the final answer is y = \\boxed{107}.",
"index": 9831,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 8; r = v + 19; n = x + 17; q = z + 3; m = 20; v = n + 18; p = i + 8; e = m + 3; s = r + 1; i = e + 16; x = m + 19; z = o + 19; y = s + 13. Given that m = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 2", "s": "t + 6", "w": "s + 7", "d": "w + 6", "u": "d + 13", "i": "u + 20", "x": "q + 9", "l": "x + 19", "o": "l + 1", "e": "o + 16", "c": "e + 8", "g": "c + 5", "q": 19}, "premises": {"q": 19}, "target": "i"}, "answer": {"steps": [["u", "d + 13", "d + 33"], ["d", "w + 6", "w + 39"], ["w", "s + 7", "s + 46"], ["s", "t + 6", "t + 52"], ["t", "q + 2", "q + 54"], ["q", 19, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"q": 19}, "is_reverse": true}} | 9,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 7; c = e + 8; q = 19; d = w + 6; u = d + 13; i = u + 20; s = t + 6; o = l + 1; t = q + 2; g = c + 5; l = x + 19; x = q + 9; e = o + 16. Given that q = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 13 to i, which gives i = d + 33.\n2. Substitute d = w + 6 to i, which gives i = w + 39.\n3. Substitute w = s + 7 to i, which gives i = s + 46.\n4. Substitute s = t + 6 to i, which gives i = t + 52.\n5. Substitute t = q + 2 to i, which gives i = q + 54.\n6. Substitute q = 19 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 9832,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 7; c = e + 8; q = 19; d = w + 6; u = d + 13; i = u + 20; s = t + 6; o = l + 1; t = q + 2; g = c + 5; l = x + 19; x = q + 9; e = o + 16. Given that q = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 3", "l": "v + 20", "y": "l + 16", "b": "y + 7", "g": "b + 4", "x": "g + 2", "o": "p + 2", "k": "o + 12", "q": "k + 15", "n": "q + 11", "e": "n + 5", "r": "e + 5", "p": 16}, "premises": {"p": 16}, "target": "x"}, "answer": {"steps": [["g", "b + 4", "b + 6"], ["b", "y + 7", "y + 13"], ["y", "l + 16", "l + 29"], ["l", "v + 20", "v + 49"], ["v", "p + 3", "p + 52"], ["p", 16, "68"]], "target_var_name": "x", "target_value": 68, "value_dict": {"p": 16}, "is_reverse": true}} | 9,833 | 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 = v + 20; q = k + 15; v = p + 3; g = b + 4; e = n + 5; y = l + 16; r = e + 5; x = g + 2; k = o + 12; p = 16; n = q + 11; b = y + 7; o = p + 2. If p = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 4 to x, which gives x = b + 6.\n2. Substitute b = y + 7 to x, which gives x = y + 13.\n3. Substitute y = l + 16 to x, which gives x = l + 29.\n4. Substitute l = v + 20 to x, which gives x = v + 49.\n5. Substitute v = p + 3 to x, which gives x = p + 52.\n6. Substitute p = 16 to x, which gives x = 68.\n\nThus, the final answer is x = \\boxed{68}.",
"index": 9833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = v + 20; q = k + 15; v = p + 3; g = b + 4; e = n + 5; y = l + 16; r = e + 5; x = g + 2; k = o + 12; p = 16; n = q + 11; b = y + 7; o = p + 2. If p = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 2", "p": "n + 16", "h": "p + 6", "u": "h + 10", "e": "u + 14", "i": "e + 20", "g": "l + 1", "j": "g + 19", "a": "j + 7", "r": "a + 2", "q": "r + 14", "y": "q + 20", "l": 15}, "premises": {"l": 15}, "target": "i"}, "answer": {"steps": [["e", "u + 14", "u + 34"], ["u", "h + 10", "h + 44"], ["h", "p + 6", "p + 50"], ["p", "n + 16", "n + 66"], ["n", "l + 2", "l + 68"], ["l", 15, "83"]], "target_var_name": "i", "target_value": 83, "value_dict": {"l": 15}, "is_reverse": true}} | 9,834 | 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 = r + 14; p = n + 16; n = l + 2; i = e + 20; j = g + 19; l = 15; u = h + 10; r = a + 2; a = j + 7; e = u + 14; y = q + 20; g = l + 1; h = p + 6. If l = 15, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 14 to i, which gives i = u + 34.\n2. Substitute u = h + 10 to i, which gives i = h + 44.\n3. Substitute h = p + 6 to i, which gives i = p + 50.\n4. Substitute p = n + 16 to i, which gives i = n + 66.\n5. Substitute n = l + 2 to i, which gives i = l + 68.\n6. Substitute l = 15 to i, which gives i = 83.\n\nThus, the final answer is i = \\boxed{83}.",
"index": 9834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 14; p = n + 16; n = l + 2; i = e + 20; j = g + 19; l = 15; u = h + 10; r = a + 2; a = j + 7; e = u + 14; y = q + 20; g = l + 1; h = p + 6. If l = 15, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 13", "e": "a + 12", "c": "e + 5", "m": "c + 2", "z": "m + 1", "l": "z + 1", "u": "x + 16", "n": "u + 16", "v": "n + 15", "i": "v + 12", "g": "i + 10", "b": "g + 11", "x": 17}, "premises": {"x": 17}, "target": "l"}, "answer": {"steps": [["z", "m + 1", "m + 2"], ["m", "c + 2", "c + 4"], ["c", "e + 5", "e + 9"], ["e", "a + 12", "a + 21"], ["a", "x + 13", "x + 34"], ["x", 17, "51"]], "target_var_name": "l", "target_value": 51, "value_dict": {"x": 17}, "is_reverse": true}} | 9,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = u + 16; a = x + 13; u = x + 16; l = z + 1; x = 17; b = g + 11; v = n + 15; m = c + 2; e = a + 12; g = i + 10; c = e + 5; i = v + 12; z = m + 1. If x = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 1 to l, which gives l = m + 2.\n2. Substitute m = c + 2 to l, which gives l = c + 4.\n3. Substitute c = e + 5 to l, which gives l = e + 9.\n4. Substitute e = a + 12 to l, which gives l = a + 21.\n5. Substitute a = x + 13 to l, which gives l = x + 34.\n6. Substitute x = 17 to l, which gives l = 51.\n\nThus, the final answer is l = \\boxed{51}.",
"index": 9835,
"question": "Consider a system of variables where each variable is defined as follows: n = u + 16; a = x + 13; u = x + 16; l = z + 1; x = 17; b = g + 11; v = n + 15; m = c + 2; e = a + 12; g = i + 10; c = e + 5; i = v + 12; z = m + 1. If x = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 1", "k": "v + 16", "j": "k + 3", "d": "j + 19", "w": "d + 13", "z": "w + 3", "n": "m + 6", "c": "n + 20", "g": "c + 18", "r": "g + 13", "b": "r + 18", "h": "b + 2", "m": 7}, "premises": {"m": 7}, "target": "z"}, "answer": {"steps": [["w", "d + 13", "d + 16"], ["d", "j + 19", "j + 35"], ["j", "k + 3", "k + 38"], ["k", "v + 16", "v + 54"], ["v", "m + 1", "m + 55"], ["m", 7, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"m": 7}, "is_reverse": true}} | 9,836 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 20; j = k + 3; z = w + 3; k = v + 16; b = r + 18; d = j + 19; w = d + 13; m = 7; h = b + 2; g = c + 18; v = m + 1; r = g + 13; n = m + 6. If m = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 13 to z, which gives z = d + 16.\n2. Substitute d = j + 19 to z, which gives z = j + 35.\n3. Substitute j = k + 3 to z, which gives z = k + 38.\n4. Substitute k = v + 16 to z, which gives z = v + 54.\n5. Substitute v = m + 1 to z, which gives z = m + 55.\n6. Substitute m = 7 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 9836,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 20; j = k + 3; z = w + 3; k = v + 16; b = r + 18; d = j + 19; w = d + 13; m = 7; h = b + 2; g = c + 18; v = m + 1; r = g + 13; n = m + 6. If m = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 14", "j": "o + 9", "v": "j + 20", "k": "v + 11", "c": "k + 12", "e": "c + 7", "p": "y + 18", "i": "p + 7", "f": "i + 2", "r": "f + 6", "t": "r + 2", "q": "t + 9", "y": 15}, "premises": {"y": 15}, "target": "e"}, "answer": {"steps": [["c", "k + 12", "k + 19"], ["k", "v + 11", "v + 30"], ["v", "j + 20", "j + 50"], ["j", "o + 9", "o + 59"], ["o", "y + 14", "y + 73"], ["y", 15, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"y": 15}, "is_reverse": true}} | 9,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 11; v = j + 20; r = f + 6; e = c + 7; q = t + 9; f = i + 2; j = o + 9; o = y + 14; p = y + 18; c = k + 12; i = p + 7; t = r + 2; y = 15. If y = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 12 to e, which gives e = k + 19.\n2. Substitute k = v + 11 to e, which gives e = v + 30.\n3. Substitute v = j + 20 to e, which gives e = j + 50.\n4. Substitute j = o + 9 to e, which gives e = o + 59.\n5. Substitute o = y + 14 to e, which gives e = y + 73.\n6. Substitute y = 15 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 9837,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 11; v = j + 20; r = f + 6; e = c + 7; q = t + 9; f = i + 2; j = o + 9; o = y + 14; p = y + 18; c = k + 12; i = p + 7; t = r + 2; y = 15. If y = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 9", "i": "f + 4", "o": "i + 3", "z": "o + 17", "w": "z + 3", "m": "w + 1", "t": "b + 14", "s": "t + 15", "a": "s + 16", "l": "a + 13", "u": "l + 15", "q": "u + 19", "b": 1}, "premises": {"b": 1}, "target": "m"}, "answer": {"steps": [["w", "z + 3", "z + 4"], ["z", "o + 17", "o + 21"], ["o", "i + 3", "i + 24"], ["i", "f + 4", "f + 28"], ["f", "b + 9", "b + 37"], ["b", 1, "38"]], "target_var_name": "m", "target_value": 38, "value_dict": {"b": 1}, "is_reverse": true}} | 9,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 3; l = a + 13; t = b + 14; s = t + 15; a = s + 16; f = b + 9; m = w + 1; u = l + 15; q = u + 19; i = f + 4; z = o + 17; o = i + 3; b = 1. Given that b = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 3 to m, which gives m = z + 4.\n2. Substitute z = o + 17 to m, which gives m = o + 21.\n3. Substitute o = i + 3 to m, which gives m = i + 24.\n4. Substitute i = f + 4 to m, which gives m = f + 28.\n5. Substitute f = b + 9 to m, which gives m = b + 37.\n6. Substitute b = 1 to m, which gives m = 38.\n\nThus, the final answer is m = \\boxed{38}.",
"index": 9838,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 3; l = a + 13; t = b + 14; s = t + 15; a = s + 16; f = b + 9; m = w + 1; u = l + 15; q = u + 19; i = f + 4; z = o + 17; o = i + 3; b = 1. Given that b = 1, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 17", "a": "q + 14", "i": "a + 2", "o": "i + 6", "k": "o + 4", "y": "k + 9", "p": "v + 16", "g": "p + 8", "e": "g + 1", "b": "e + 4", "m": "b + 18", "n": "m + 14", "v": 7}, "premises": {"v": 7}, "target": "y"}, "answer": {"steps": [["k", "o + 4", "o + 13"], ["o", "i + 6", "i + 19"], ["i", "a + 2", "a + 21"], ["a", "q + 14", "q + 35"], ["q", "v + 17", "v + 52"], ["v", 7, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"v": 7}, "is_reverse": true}} | 9,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = e + 4; v = 7; y = k + 9; m = b + 18; q = v + 17; p = v + 16; k = o + 4; i = a + 2; e = g + 1; a = q + 14; o = i + 6; n = m + 14; g = p + 8. If v = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 4 to y, which gives y = o + 13.\n2. Substitute o = i + 6 to y, which gives y = i + 19.\n3. Substitute i = a + 2 to y, which gives y = a + 21.\n4. Substitute a = q + 14 to y, which gives y = q + 35.\n5. Substitute q = v + 17 to y, which gives y = v + 52.\n6. Substitute v = 7 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 9839,
"question": "Consider a system of variables where each variable is defined as follows: b = e + 4; v = 7; y = k + 9; m = b + 18; q = v + 17; p = v + 16; k = o + 4; i = a + 2; e = g + 1; a = q + 14; o = i + 6; n = m + 14; g = p + 8. If v = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 20", "m": "p + 17", "d": "m + 2", "g": "d + 10", "z": "g + 1", "e": "z + 6", "i": "a + 2", "f": "i + 6", "o": "f + 20", "u": "o + 17", "b": "u + 15", "s": "b + 18", "a": 11}, "premises": {"a": 11}, "target": "e"}, "answer": {"steps": [["z", "g + 1", "g + 7"], ["g", "d + 10", "d + 17"], ["d", "m + 2", "m + 19"], ["m", "p + 17", "p + 36"], ["p", "a + 20", "a + 56"], ["a", 11, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"a": 11}, "is_reverse": true}} | 9,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = a + 2; f = i + 6; m = p + 17; u = o + 17; e = z + 6; z = g + 1; d = m + 2; o = f + 20; g = d + 10; s = b + 18; a = 11; p = a + 20; b = u + 15. Given that a = 11, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 1 to e, which gives e = g + 7.\n2. Substitute g = d + 10 to e, which gives e = d + 17.\n3. Substitute d = m + 2 to e, which gives e = m + 19.\n4. Substitute m = p + 17 to e, which gives e = p + 36.\n5. Substitute p = a + 20 to e, which gives e = a + 56.\n6. Substitute a = 11 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 9840,
"question": "Suppose a collection of variables is related by the following definitions: i = a + 2; f = i + 6; m = p + 17; u = o + 17; e = z + 6; z = g + 1; d = m + 2; o = f + 20; g = d + 10; s = b + 18; a = 11; p = a + 20; b = u + 15. Given that a = 11, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 5", "u": "j + 4", "y": "u + 7", "g": "y + 18", "r": "g + 2", "k": "r + 1", "s": "z + 11", "n": "s + 2", "m": "n + 10", "a": "m + 5", "i": "a + 11", "h": "i + 3", "z": 5}, "premises": {"z": 5}, "target": "k"}, "answer": {"steps": [["r", "g + 2", "g + 3"], ["g", "y + 18", "y + 21"], ["y", "u + 7", "u + 28"], ["u", "j + 4", "j + 32"], ["j", "z + 5", "z + 37"], ["z", 5, "42"]], "target_var_name": "k", "target_value": 42, "value_dict": {"z": 5}, "is_reverse": true}} | 9,841 | 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 = n + 10; j = z + 5; h = i + 3; y = u + 7; k = r + 1; n = s + 2; g = y + 18; a = m + 5; s = z + 11; r = g + 2; u = j + 4; i = a + 11; z = 5. If z = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 2 to k, which gives k = g + 3.\n2. Substitute g = y + 18 to k, which gives k = y + 21.\n3. Substitute y = u + 7 to k, which gives k = u + 28.\n4. Substitute u = j + 4 to k, which gives k = j + 32.\n5. Substitute j = z + 5 to k, which gives k = z + 37.\n6. Substitute z = 5 to k, which gives k = 42.\n\nThus, the final answer is k = \\boxed{42}.",
"index": 9841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 10; j = z + 5; h = i + 3; y = u + 7; k = r + 1; n = s + 2; g = y + 18; a = m + 5; s = z + 11; r = g + 2; u = j + 4; i = a + 11; z = 5. If z = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 18", "b": "m + 9", "w": "b + 9", "g": "w + 20", "d": "g + 13", "f": "d + 9", "q": "p + 7", "x": "q + 4", "v": "x + 14", "k": "v + 17", "a": "k + 3", "i": "a + 2", "p": 6}, "premises": {"p": 6}, "target": "f"}, "answer": {"steps": [["d", "g + 13", "g + 22"], ["g", "w + 20", "w + 42"], ["w", "b + 9", "b + 51"], ["b", "m + 9", "m + 60"], ["m", "p + 18", "p + 78"], ["p", 6, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"p": 6}, "is_reverse": true}} | 9,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 14; q = p + 7; f = d + 9; g = w + 20; a = k + 3; p = 6; w = b + 9; x = q + 4; m = p + 18; d = g + 13; b = m + 9; k = v + 17; i = a + 2. If p = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 13 to f, which gives f = g + 22.\n2. Substitute g = w + 20 to f, which gives f = w + 42.\n3. Substitute w = b + 9 to f, which gives f = b + 51.\n4. Substitute b = m + 9 to f, which gives f = m + 60.\n5. Substitute m = p + 18 to f, which gives f = p + 78.\n6. Substitute p = 6 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 9842,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 14; q = p + 7; f = d + 9; g = w + 20; a = k + 3; p = 6; w = b + 9; x = q + 4; m = p + 18; d = g + 13; b = m + 9; k = v + 17; i = a + 2. If p = 6, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 6", "f": "k + 18", "m": "f + 17", "p": "m + 4", "a": "p + 8", "l": "a + 14", "j": "o + 12", "b": "j + 16", "q": "b + 6", "y": "q + 20", "d": "y + 11", "e": "d + 18", "o": 12}, "premises": {"o": 12}, "target": "l"}, "answer": {"steps": [["a", "p + 8", "p + 22"], ["p", "m + 4", "m + 26"], ["m", "f + 17", "f + 43"], ["f", "k + 18", "k + 61"], ["k", "o + 6", "o + 67"], ["o", 12, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"o": 12}, "is_reverse": true}} | 9,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 4; e = d + 18; q = b + 6; a = p + 8; m = f + 17; d = y + 11; k = o + 6; b = j + 16; y = q + 20; o = 12; l = a + 14; j = o + 12; f = k + 18. Given that o = 12, find 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 a = p + 8 to l, which gives l = p + 22.\n2. Substitute p = m + 4 to l, which gives l = m + 26.\n3. Substitute m = f + 17 to l, which gives l = f + 43.\n4. Substitute f = k + 18 to l, which gives l = k + 61.\n5. Substitute k = o + 6 to l, which gives l = o + 67.\n6. Substitute o = 12 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 9843,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 4; e = d + 18; q = b + 6; a = p + 8; m = f + 17; d = y + 11; k = o + 6; b = j + 16; y = q + 20; o = 12; l = a + 14; j = o + 12; f = k + 18. Given that o = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "q + 20", "o": "l + 17", "j": "o + 5", "a": "j + 10", "v": "a + 17", "s": "v + 19", "p": "q + 12", "r": "p + 5", "b": "r + 18", "i": "b + 2", "k": "i + 7", "h": "k + 20", "q": 12}, "premises": {"q": 12}, "target": "s"}, "answer": {"steps": [["v", "a + 17", "a + 36"], ["a", "j + 10", "j + 46"], ["j", "o + 5", "o + 51"], ["o", "l + 17", "l + 68"], ["l", "q + 20", "q + 88"], ["q", 12, "100"]], "target_var_name": "s", "target_value": 100, "value_dict": {"q": 12}, "is_reverse": true}} | 9,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 5; b = r + 18; l = q + 20; q = 12; v = a + 17; j = o + 5; h = k + 20; i = b + 2; a = j + 10; o = l + 17; k = i + 7; p = q + 12; s = v + 19. If q = 12, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 17 to s, which gives s = a + 36.\n2. Substitute a = j + 10 to s, which gives s = j + 46.\n3. Substitute j = o + 5 to s, which gives s = o + 51.\n4. Substitute o = l + 17 to s, which gives s = l + 68.\n5. Substitute l = q + 20 to s, which gives s = q + 88.\n6. Substitute q = 12 to s, which gives s = 100.\n\nThus, the final answer is s = \\boxed{100}.",
"index": 9844,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 5; b = r + 18; l = q + 20; q = 12; v = a + 17; j = o + 5; h = k + 20; i = b + 2; a = j + 10; o = l + 17; k = i + 7; p = q + 12; s = v + 19. If q = 12, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 8", "x": "k + 4", "z": "x + 17", "w": "z + 14", "d": "w + 12", "c": "d + 4", "h": "i + 13", "a": "h + 19", "s": "a + 20", "l": "s + 13", "j": "l + 15", "u": "j + 6", "i": 11}, "premises": {"i": 11}, "target": "c"}, "answer": {"steps": [["d", "w + 12", "w + 16"], ["w", "z + 14", "z + 30"], ["z", "x + 17", "x + 47"], ["x", "k + 4", "k + 51"], ["k", "i + 8", "i + 59"], ["i", 11, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"i": 11}, "is_reverse": true}} | 9,845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 12; a = h + 19; h = i + 13; z = x + 17; s = a + 20; i = 11; j = l + 15; c = d + 4; u = j + 6; w = z + 14; x = k + 4; k = i + 8; l = s + 13. If i = 11, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 12 to c, which gives c = w + 16.\n2. Substitute w = z + 14 to c, which gives c = z + 30.\n3. Substitute z = x + 17 to c, which gives c = x + 47.\n4. Substitute x = k + 4 to c, which gives c = k + 51.\n5. Substitute k = i + 8 to c, which gives c = i + 59.\n6. Substitute i = 11 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 9845,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 12; a = h + 19; h = i + 13; z = x + 17; s = a + 20; i = 11; j = l + 15; c = d + 4; u = j + 6; w = z + 14; x = k + 4; k = i + 8; l = s + 13. If i = 11, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 5", "s": "n + 13", "k": "s + 10", "b": "k + 19", "x": "b + 1", "l": "x + 20", "p": "f + 20", "i": "p + 8", "g": "i + 18", "v": "g + 8", "m": "v + 19", "e": "m + 9", "f": 5}, "premises": {"f": 5}, "target": "l"}, "answer": {"steps": [["x", "b + 1", "b + 21"], ["b", "k + 19", "k + 40"], ["k", "s + 10", "s + 50"], ["s", "n + 13", "n + 63"], ["n", "f + 5", "f + 68"], ["f", 5, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"f": 5}, "is_reverse": true}} | 9,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = p + 8; v = g + 8; m = v + 19; n = f + 5; p = f + 20; b = k + 19; s = n + 13; f = 5; l = x + 20; k = s + 10; x = b + 1; g = i + 18; e = m + 9. Given that f = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 1 to l, which gives l = b + 21.\n2. Substitute b = k + 19 to l, which gives l = k + 40.\n3. Substitute k = s + 10 to l, which gives l = s + 50.\n4. Substitute s = n + 13 to l, which gives l = n + 63.\n5. Substitute n = f + 5 to l, which gives l = f + 68.\n6. Substitute f = 5 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 9846,
"question": "Suppose a collection of variables is related by the following definitions: i = p + 8; v = g + 8; m = v + 19; n = f + 5; p = f + 20; b = k + 19; s = n + 13; f = 5; l = x + 20; k = s + 10; x = b + 1; g = i + 18; e = m + 9. Given that f = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 18", "v": "f + 20", "m": "v + 18", "o": "m + 7", "y": "o + 11", "c": "y + 5", "h": "z + 4", "e": "h + 2", "l": "e + 6", "b": "l + 6", "x": "b + 9", "g": "x + 2", "z": 9}, "premises": {"z": 9}, "target": "c"}, "answer": {"steps": [["y", "o + 11", "o + 16"], ["o", "m + 7", "m + 23"], ["m", "v + 18", "v + 41"], ["v", "f + 20", "f + 61"], ["f", "z + 18", "z + 79"], ["z", 9, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"z": 9}, "is_reverse": true}} | 9,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 7; g = x + 2; l = e + 6; e = h + 2; f = z + 18; b = l + 6; x = b + 9; h = z + 4; m = v + 18; c = y + 5; y = o + 11; v = f + 20; z = 9. If z = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 11 to c, which gives c = o + 16.\n2. Substitute o = m + 7 to c, which gives c = m + 23.\n3. Substitute m = v + 18 to c, which gives c = v + 41.\n4. Substitute v = f + 20 to c, which gives c = f + 61.\n5. Substitute f = z + 18 to c, which gives c = z + 79.\n6. Substitute z = 9 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 9847,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 7; g = x + 2; l = e + 6; e = h + 2; f = z + 18; b = l + 6; x = b + 9; h = z + 4; m = v + 18; c = y + 5; y = o + 11; v = f + 20; z = 9. If z = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 15", "c": "r + 17", "v": "c + 6", "d": "v + 6", "w": "d + 15", "u": "w + 17", "a": "t + 9", "f": "a + 4", "z": "f + 9", "y": "z + 11", "l": "y + 8", "p": "l + 19", "t": 12}, "premises": {"t": 12}, "target": "u"}, "answer": {"steps": [["w", "d + 15", "d + 32"], ["d", "v + 6", "v + 38"], ["v", "c + 6", "c + 44"], ["c", "r + 17", "r + 61"], ["r", "t + 15", "t + 76"], ["t", 12, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"t": 12}, "is_reverse": true}} | 9,848 | 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 = z + 11; l = y + 8; w = d + 15; u = w + 17; d = v + 6; p = l + 19; v = c + 6; a = t + 9; r = t + 15; t = 12; c = r + 17; z = f + 9; f = a + 4. If t = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 15 to u, which gives u = d + 32.\n2. Substitute d = v + 6 to u, which gives u = v + 38.\n3. Substitute v = c + 6 to u, which gives u = c + 44.\n4. Substitute c = r + 17 to u, which gives u = r + 61.\n5. Substitute r = t + 15 to u, which gives u = t + 76.\n6. Substitute t = 12 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 9848,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 11; l = y + 8; w = d + 15; u = w + 17; d = v + 6; p = l + 19; v = c + 6; a = t + 9; r = t + 15; t = 12; c = r + 17; z = f + 9; f = a + 4. If t = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 12", "e": "c + 17", "h": "e + 5", "v": "h + 13", "x": "v + 20", "a": "x + 20", "y": "n + 8", "d": "y + 17", "z": "d + 15", "j": "z + 2", "s": "j + 8", "g": "s + 10", "n": 15}, "premises": {"n": 15}, "target": "a"}, "answer": {"steps": [["x", "v + 20", "v + 40"], ["v", "h + 13", "h + 53"], ["h", "e + 5", "e + 58"], ["e", "c + 17", "c + 75"], ["c", "n + 12", "n + 87"], ["n", 15, "102"]], "target_var_name": "a", "target_value": 102, "value_dict": {"n": 15}, "is_reverse": true}} | 9,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 8; h = e + 5; j = z + 2; z = d + 15; n = 15; a = x + 20; v = h + 13; c = n + 12; s = j + 8; d = y + 17; e = c + 17; g = s + 10; x = v + 20. If n = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 20 to a, which gives a = v + 40.\n2. Substitute v = h + 13 to a, which gives a = h + 53.\n3. Substitute h = e + 5 to a, which gives a = e + 58.\n4. Substitute e = c + 17 to a, which gives a = c + 75.\n5. Substitute c = n + 12 to a, which gives a = n + 87.\n6. Substitute n = 15 to a, which gives a = 102.\n\nThus, the final answer is a = \\boxed{102}.",
"index": 9849,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 8; h = e + 5; j = z + 2; z = d + 15; n = 15; a = x + 20; v = h + 13; c = n + 12; s = j + 8; d = y + 17; e = c + 17; g = s + 10; x = v + 20. If n = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 2", "o": "s + 6", "k": "o + 11", "d": "k + 6", "n": "d + 19", "c": "n + 16", "u": "a + 6", "g": "u + 12", "w": "g + 15", "v": "w + 7", "q": "v + 14", "y": "q + 10", "a": 3}, "premises": {"a": 3}, "target": "c"}, "answer": {"steps": [["n", "d + 19", "d + 35"], ["d", "k + 6", "k + 41"], ["k", "o + 11", "o + 52"], ["o", "s + 6", "s + 58"], ["s", "a + 2", "a + 60"], ["a", 3, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"a": 3}, "is_reverse": true}} | 9,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 16; g = u + 12; y = q + 10; s = a + 2; d = k + 6; u = a + 6; v = w + 7; a = 3; q = v + 14; w = g + 15; o = s + 6; n = d + 19; k = o + 11. Given that a = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 19 to c, which gives c = d + 35.\n2. Substitute d = k + 6 to c, which gives c = k + 41.\n3. Substitute k = o + 11 to c, which gives c = o + 52.\n4. Substitute o = s + 6 to c, which gives c = s + 58.\n5. Substitute s = a + 2 to c, which gives c = a + 60.\n6. Substitute a = 3 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 9850,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 16; g = u + 12; y = q + 10; s = a + 2; d = k + 6; u = a + 6; v = w + 7; a = 3; q = v + 14; w = g + 15; o = s + 6; n = d + 19; k = o + 11. Given that a = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 4", "f": "z + 5", "l": "f + 12", "d": "l + 3", "x": "d + 18", "b": "x + 12", "u": "r + 20", "i": "u + 5", "v": "i + 7", "p": "v + 18", "o": "p + 16", "j": "o + 7", "r": 6}, "premises": {"r": 6}, "target": "b"}, "answer": {"steps": [["x", "d + 18", "d + 30"], ["d", "l + 3", "l + 33"], ["l", "f + 12", "f + 45"], ["f", "z + 5", "z + 50"], ["z", "r + 4", "r + 54"], ["r", 6, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"r": 6}, "is_reverse": true}} | 9,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 4; l = f + 12; i = u + 5; d = l + 3; v = i + 7; f = z + 5; b = x + 12; j = o + 7; x = d + 18; r = 6; u = r + 20; o = p + 16; p = v + 18. Given that r = 6, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 18 to b, which gives b = d + 30.\n2. Substitute d = l + 3 to b, which gives b = l + 33.\n3. Substitute l = f + 12 to b, which gives b = f + 45.\n4. Substitute f = z + 5 to b, which gives b = z + 50.\n5. Substitute z = r + 4 to b, which gives b = r + 54.\n6. Substitute r = 6 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 9851,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 4; l = f + 12; i = u + 5; d = l + 3; v = i + 7; f = z + 5; b = x + 12; j = o + 7; x = d + 18; r = 6; u = r + 20; o = p + 16; p = v + 18. Given that r = 6, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 2", "b": "d + 5", "n": "b + 11", "q": "n + 12", "a": "q + 6", "s": "a + 17", "g": "r + 4", "c": "g + 14", "t": "c + 4", "e": "t + 9", "o": "e + 5", "x": "o + 5", "r": 10}, "premises": {"r": 10}, "target": "s"}, "answer": {"steps": [["a", "q + 6", "q + 23"], ["q", "n + 12", "n + 35"], ["n", "b + 11", "b + 46"], ["b", "d + 5", "d + 51"], ["d", "r + 2", "r + 53"], ["r", 10, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"r": 10}, "is_reverse": true}} | 9,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 5; e = t + 9; q = n + 12; x = o + 5; o = e + 5; g = r + 4; c = g + 14; d = r + 2; s = a + 17; a = q + 6; n = b + 11; t = c + 4; r = 10. If r = 10, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 6 to s, which gives s = q + 23.\n2. Substitute q = n + 12 to s, which gives s = n + 35.\n3. Substitute n = b + 11 to s, which gives s = b + 46.\n4. Substitute b = d + 5 to s, which gives s = d + 51.\n5. Substitute d = r + 2 to s, which gives s = r + 53.\n6. Substitute r = 10 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 9852,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 5; e = t + 9; q = n + 12; x = o + 5; o = e + 5; g = r + 4; c = g + 14; d = r + 2; s = a + 17; a = q + 6; n = b + 11; t = c + 4; r = 10. If r = 10, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 20", "o": "n + 17", "p": "o + 14", "d": "p + 8", "v": "d + 4", "z": "v + 12", "x": "h + 17", "y": "x + 8", "m": "y + 2", "i": "m + 2", "e": "i + 18", "f": "e + 11", "h": 5}, "premises": {"h": 5}, "target": "z"}, "answer": {"steps": [["v", "d + 4", "d + 16"], ["d", "p + 8", "p + 24"], ["p", "o + 14", "o + 38"], ["o", "n + 17", "n + 55"], ["n", "h + 20", "h + 75"], ["h", 5, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"h": 5}, "is_reverse": true}} | 9,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = i + 18; f = e + 11; x = h + 17; z = v + 12; i = m + 2; p = o + 14; n = h + 20; d = p + 8; v = d + 4; m = y + 2; o = n + 17; y = x + 8; h = 5. Given that h = 5, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 4 to z, which gives z = d + 16.\n2. Substitute d = p + 8 to z, which gives z = p + 24.\n3. Substitute p = o + 14 to z, which gives z = o + 38.\n4. Substitute o = n + 17 to z, which gives z = n + 55.\n5. Substitute n = h + 20 to z, which gives z = h + 75.\n6. Substitute h = 5 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 9853,
"question": "Suppose a collection of variables is related by the following definitions: e = i + 18; f = e + 11; x = h + 17; z = v + 12; i = m + 2; p = o + 14; n = h + 20; d = p + 8; v = d + 4; m = y + 2; o = n + 17; y = x + 8; h = 5. Given that h = 5, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 11", "m": "v + 8", "g": "m + 18", "d": "g + 17", "o": "d + 12", "j": "o + 7", "l": "t + 12", "b": "l + 12", "q": "b + 12", "a": "q + 17", "e": "a + 5", "w": "e + 4", "t": 14}, "premises": {"t": 14}, "target": "j"}, "answer": {"steps": [["o", "d + 12", "d + 19"], ["d", "g + 17", "g + 36"], ["g", "m + 18", "m + 54"], ["m", "v + 8", "v + 62"], ["v", "t + 11", "t + 73"], ["t", 14, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"t": 14}, "is_reverse": true}} | 9,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 12; o = d + 12; j = o + 7; w = e + 4; l = t + 12; m = v + 8; a = q + 17; v = t + 11; d = g + 17; b = l + 12; t = 14; e = a + 5; g = m + 18. Given that t = 14, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 12 to j, which gives j = d + 19.\n2. Substitute d = g + 17 to j, which gives j = g + 36.\n3. Substitute g = m + 18 to j, which gives j = m + 54.\n4. Substitute m = v + 8 to j, which gives j = v + 62.\n5. Substitute v = t + 11 to j, which gives j = t + 73.\n6. Substitute t = 14 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 9854,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 12; o = d + 12; j = o + 7; w = e + 4; l = t + 12; m = v + 8; a = q + 17; v = t + 11; d = g + 17; b = l + 12; t = 14; e = a + 5; g = m + 18. Given that t = 14, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 1", "q": "t + 16", "h": "q + 11", "n": "h + 2", "z": "n + 1", "p": "z + 16", "f": "v + 18", "e": "f + 19", "b": "e + 8", "i": "b + 8", "u": "i + 16", "a": "u + 7", "v": 15}, "premises": {"v": 15}, "target": "p"}, "answer": {"steps": [["z", "n + 1", "n + 17"], ["n", "h + 2", "h + 19"], ["h", "q + 11", "q + 30"], ["q", "t + 16", "t + 46"], ["t", "v + 1", "v + 47"], ["v", 15, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"v": 15}, "is_reverse": true}} | 9,855 | 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 = u + 7; q = t + 16; v = 15; t = v + 1; e = f + 19; i = b + 8; u = i + 16; z = n + 1; b = e + 8; h = q + 11; p = z + 16; f = v + 18; n = h + 2. If v = 15, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 1 to p, which gives p = n + 17.\n2. Substitute n = h + 2 to p, which gives p = h + 19.\n3. Substitute h = q + 11 to p, which gives p = q + 30.\n4. Substitute q = t + 16 to p, which gives p = t + 46.\n5. Substitute t = v + 1 to p, which gives p = v + 47.\n6. Substitute v = 15 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 9855,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 7; q = t + 16; v = 15; t = v + 1; e = f + 19; i = b + 8; u = i + 16; z = n + 1; b = e + 8; h = q + 11; p = z + 16; f = v + 18; n = h + 2. If v = 15, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 5", "l": "j + 11", "y": "l + 10", "c": "y + 12", "f": "c + 11", "v": "f + 10", "w": "u + 1", "p": "w + 13", "k": "p + 1", "z": "k + 13", "h": "z + 6", "n": "h + 7", "u": 11}, "premises": {"u": 11}, "target": "v"}, "answer": {"steps": [["f", "c + 11", "c + 21"], ["c", "y + 12", "y + 33"], ["y", "l + 10", "l + 43"], ["l", "j + 11", "j + 54"], ["j", "u + 5", "u + 59"], ["u", 11, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"u": 11}, "is_reverse": true}} | 9,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 12; k = p + 1; n = h + 7; z = k + 13; u = 11; j = u + 5; w = u + 1; h = z + 6; v = f + 10; l = j + 11; y = l + 10; f = c + 11; p = w + 13. Given that u = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 11 to v, which gives v = c + 21.\n2. Substitute c = y + 12 to v, which gives v = y + 33.\n3. Substitute y = l + 10 to v, which gives v = l + 43.\n4. Substitute l = j + 11 to v, which gives v = j + 54.\n5. Substitute j = u + 5 to v, which gives v = u + 59.\n6. Substitute u = 11 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 9856,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 12; k = p + 1; n = h + 7; z = k + 13; u = 11; j = u + 5; w = u + 1; h = z + 6; v = f + 10; l = j + 11; y = l + 10; f = c + 11; p = w + 13. Given that u = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 2", "p": "n + 16", "i": "p + 1", "g": "i + 2", "u": "g + 5", "v": "u + 9", "t": "r + 17", "q": "t + 13", "o": "q + 2", "z": "o + 17", "d": "z + 18", "k": "d + 15", "r": 8}, "premises": {"r": 8}, "target": "v"}, "answer": {"steps": [["u", "g + 5", "g + 14"], ["g", "i + 2", "i + 16"], ["i", "p + 1", "p + 17"], ["p", "n + 16", "n + 33"], ["n", "r + 2", "r + 35"], ["r", 8, "43"]], "target_var_name": "v", "target_value": 43, "value_dict": {"r": 8}, "is_reverse": true}} | 9,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 2; k = d + 15; q = t + 13; z = o + 17; u = g + 5; n = r + 2; i = p + 1; d = z + 18; o = q + 2; v = u + 9; p = n + 16; t = r + 17; r = 8. If r = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 5 to v, which gives v = g + 14.\n2. Substitute g = i + 2 to v, which gives v = i + 16.\n3. Substitute i = p + 1 to v, which gives v = p + 17.\n4. Substitute p = n + 16 to v, which gives v = n + 33.\n5. Substitute n = r + 2 to v, which gives v = r + 35.\n6. Substitute r = 8 to v, which gives v = 43.\n\nThus, the final answer is v = \\boxed{43}.",
"index": 9857,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 2; k = d + 15; q = t + 13; z = o + 17; u = g + 5; n = r + 2; i = p + 1; d = z + 18; o = q + 2; v = u + 9; p = n + 16; t = r + 17; r = 8. If r = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 13", "y": "i + 5", "v": "y + 15", "x": "v + 12", "q": "x + 17", "b": "q + 17", "n": "c + 7", "s": "n + 10", "a": "s + 11", "j": "a + 15", "l": "j + 7", "o": "l + 3", "c": 4}, "premises": {"c": 4}, "target": "b"}, "answer": {"steps": [["q", "x + 17", "x + 34"], ["x", "v + 12", "v + 46"], ["v", "y + 15", "y + 61"], ["y", "i + 5", "i + 66"], ["i", "c + 13", "c + 79"], ["c", 4, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"c": 4}, "is_reverse": true}} | 9,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = s + 11; l = j + 7; n = c + 7; s = n + 10; j = a + 15; y = i + 5; x = v + 12; i = c + 13; b = q + 17; o = l + 3; c = 4; v = y + 15; q = x + 17. If c = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 17 to b, which gives b = x + 34.\n2. Substitute x = v + 12 to b, which gives b = v + 46.\n3. Substitute v = y + 15 to b, which gives b = y + 61.\n4. Substitute y = i + 5 to b, which gives b = i + 66.\n5. Substitute i = c + 13 to b, which gives b = c + 79.\n6. Substitute c = 4 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 9858,
"question": "Consider a system of variables where each variable is defined as follows: a = s + 11; l = j + 7; n = c + 7; s = n + 10; j = a + 15; y = i + 5; x = v + 12; i = c + 13; b = q + 17; o = l + 3; c = 4; v = y + 15; q = x + 17. If c = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 9", "b": "i + 6", "w": "b + 16", "p": "w + 2", "v": "p + 18", "m": "v + 6", "y": "z + 13", "d": "y + 2", "q": "d + 17", "j": "q + 8", "h": "j + 14", "o": "h + 1", "z": 8}, "premises": {"z": 8}, "target": "m"}, "answer": {"steps": [["v", "p + 18", "p + 24"], ["p", "w + 2", "w + 26"], ["w", "b + 16", "b + 42"], ["b", "i + 6", "i + 48"], ["i", "z + 9", "z + 57"], ["z", 8, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"z": 8}, "is_reverse": true}} | 9,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 9; w = b + 16; p = w + 2; b = i + 6; z = 8; y = z + 13; q = d + 17; j = q + 8; d = y + 2; h = j + 14; m = v + 6; o = h + 1; v = p + 18. If z = 8, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 18 to m, which gives m = p + 24.\n2. Substitute p = w + 2 to m, which gives m = w + 26.\n3. Substitute w = b + 16 to m, which gives m = b + 42.\n4. Substitute b = i + 6 to m, which gives m = i + 48.\n5. Substitute i = z + 9 to m, which gives m = z + 57.\n6. Substitute z = 8 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 9859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = z + 9; w = b + 16; p = w + 2; b = i + 6; z = 8; y = z + 13; q = d + 17; j = q + 8; d = y + 2; h = j + 14; m = v + 6; o = h + 1; v = p + 18. If z = 8, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 11", "r": "e + 11", "x": "r + 18", "l": "x + 8", "b": "l + 15", "u": "b + 3", "p": "h + 11", "i": "p + 14", "q": "i + 1", "v": "q + 13", "n": "v + 16", "m": "n + 14", "h": 16}, "premises": {"h": 16}, "target": "u"}, "answer": {"steps": [["b", "l + 15", "l + 18"], ["l", "x + 8", "x + 26"], ["x", "r + 18", "r + 44"], ["r", "e + 11", "e + 55"], ["e", "h + 11", "h + 66"], ["h", 16, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"h": 16}, "is_reverse": true}} | 9,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 14; n = v + 16; l = x + 8; m = n + 14; p = h + 11; e = h + 11; r = e + 11; v = q + 13; b = l + 15; q = i + 1; h = 16; x = r + 18; u = b + 3. If h = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 15 to u, which gives u = l + 18.\n2. Substitute l = x + 8 to u, which gives u = x + 26.\n3. Substitute x = r + 18 to u, which gives u = r + 44.\n4. Substitute r = e + 11 to u, which gives u = e + 55.\n5. Substitute e = h + 11 to u, which gives u = h + 66.\n6. Substitute h = 16 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 9860,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 14; n = v + 16; l = x + 8; m = n + 14; p = h + 11; e = h + 11; r = e + 11; v = q + 13; b = l + 15; q = i + 1; h = 16; x = r + 18; u = b + 3. If h = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 11", "y": "i + 7", "r": "y + 15", "c": "r + 20", "h": "c + 20", "n": "h + 20", "d": "q + 4", "o": "d + 14", "b": "o + 1", "e": "b + 20", "w": "e + 9", "g": "w + 8", "q": 1}, "premises": {"q": 1}, "target": "n"}, "answer": {"steps": [["h", "c + 20", "c + 40"], ["c", "r + 20", "r + 60"], ["r", "y + 15", "y + 75"], ["y", "i + 7", "i + 82"], ["i", "q + 11", "q + 93"], ["q", 1, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"q": 1}, "is_reverse": true}} | 9,861 | 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 = 1; e = b + 20; d = q + 4; w = e + 9; r = y + 15; g = w + 8; h = c + 20; i = q + 11; b = o + 1; y = i + 7; n = h + 20; c = r + 20; o = d + 14. If q = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 20 to n, which gives n = c + 40.\n2. Substitute c = r + 20 to n, which gives n = r + 60.\n3. Substitute r = y + 15 to n, which gives n = y + 75.\n4. Substitute y = i + 7 to n, which gives n = i + 82.\n5. Substitute i = q + 11 to n, which gives n = q + 93.\n6. Substitute q = 1 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 9861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 1; e = b + 20; d = q + 4; w = e + 9; r = y + 15; g = w + 8; h = c + 20; i = q + 11; b = o + 1; y = i + 7; n = h + 20; c = r + 20; o = d + 14. If q = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 13", "x": "g + 8", "m": "x + 5", "u": "m + 7", "v": "u + 7", "o": "v + 10", "s": "d + 10", "f": "s + 8", "i": "f + 13", "h": "i + 4", "p": "h + 16", "e": "p + 5", "d": 9}, "premises": {"d": 9}, "target": "o"}, "answer": {"steps": [["v", "u + 7", "u + 17"], ["u", "m + 7", "m + 24"], ["m", "x + 5", "x + 29"], ["x", "g + 8", "g + 37"], ["g", "d + 13", "d + 50"], ["d", 9, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"d": 9}, "is_reverse": true}} | 9,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 7; g = d + 13; h = i + 4; f = s + 8; s = d + 10; x = g + 8; i = f + 13; p = h + 16; d = 9; e = p + 5; v = u + 7; o = v + 10; m = x + 5. If d = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 7 to o, which gives o = u + 17.\n2. Substitute u = m + 7 to o, which gives o = m + 24.\n3. Substitute m = x + 5 to o, which gives o = x + 29.\n4. Substitute x = g + 8 to o, which gives o = g + 37.\n5. Substitute g = d + 13 to o, which gives o = d + 50.\n6. Substitute d = 9 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 9862,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 7; g = d + 13; h = i + 4; f = s + 8; s = d + 10; x = g + 8; i = f + 13; p = h + 16; d = 9; e = p + 5; v = u + 7; o = v + 10; m = x + 5. If d = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 13", "d": "r + 18", "m": "d + 19", "z": "m + 13", "k": "z + 1", "v": "k + 15", "g": "l + 3", "c": "g + 20", "h": "c + 9", "s": "h + 2", "e": "s + 1", "f": "e + 4", "l": 13}, "premises": {"l": 13}, "target": "v"}, "answer": {"steps": [["k", "z + 1", "z + 16"], ["z", "m + 13", "m + 29"], ["m", "d + 19", "d + 48"], ["d", "r + 18", "r + 66"], ["r", "l + 13", "l + 79"], ["l", 13, "92"]], "target_var_name": "v", "target_value": 92, "value_dict": {"l": 13}, "is_reverse": true}} | 9,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 4; z = m + 13; s = h + 2; d = r + 18; h = c + 9; v = k + 15; l = 13; m = d + 19; e = s + 1; k = z + 1; g = l + 3; r = l + 13; c = g + 20. If l = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 1 to v, which gives v = z + 16.\n2. Substitute z = m + 13 to v, which gives v = m + 29.\n3. Substitute m = d + 19 to v, which gives v = d + 48.\n4. Substitute d = r + 18 to v, which gives v = r + 66.\n5. Substitute r = l + 13 to v, which gives v = l + 79.\n6. Substitute l = 13 to v, which gives v = 92.\n\nThus, the final answer is v = \\boxed{92}.",
"index": 9863,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 4; z = m + 13; s = h + 2; d = r + 18; h = c + 9; v = k + 15; l = 13; m = d + 19; e = s + 1; k = z + 1; g = l + 3; r = l + 13; c = g + 20. If l = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 13", "u": "e + 10", "w": "u + 7", "i": "w + 13", "h": "i + 10", "n": "h + 20", "m": "v + 5", "t": "m + 2", "b": "t + 8", "f": "b + 19", "s": "f + 7", "l": "s + 6", "v": 3}, "premises": {"v": 3}, "target": "n"}, "answer": {"steps": [["h", "i + 10", "i + 30"], ["i", "w + 13", "w + 43"], ["w", "u + 7", "u + 50"], ["u", "e + 10", "e + 60"], ["e", "v + 13", "v + 73"], ["v", 3, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"v": 3}, "is_reverse": true}} | 9,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 2; v = 3; b = t + 8; i = w + 13; e = v + 13; f = b + 19; u = e + 10; h = i + 10; m = v + 5; s = f + 7; w = u + 7; l = s + 6; n = h + 20. If v = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 10 to n, which gives n = i + 30.\n2. Substitute i = w + 13 to n, which gives n = w + 43.\n3. Substitute w = u + 7 to n, which gives n = u + 50.\n4. Substitute u = e + 10 to n, which gives n = e + 60.\n5. Substitute e = v + 13 to n, which gives n = v + 73.\n6. Substitute v = 3 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 9864,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 2; v = 3; b = t + 8; i = w + 13; e = v + 13; f = b + 19; u = e + 10; h = i + 10; m = v + 5; s = f + 7; w = u + 7; l = s + 6; n = h + 20. If v = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 5", "u": "c + 4", "e": "u + 5", "f": "e + 5", "v": "f + 20", "s": "v + 14", "m": "w + 2", "l": "m + 8", "a": "l + 8", "x": "a + 15", "k": "x + 17", "h": "k + 10", "w": 10}, "premises": {"w": 10}, "target": "s"}, "answer": {"steps": [["v", "f + 20", "f + 34"], ["f", "e + 5", "e + 39"], ["e", "u + 5", "u + 44"], ["u", "c + 4", "c + 48"], ["c", "w + 5", "w + 53"], ["w", 10, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"w": 10}, "is_reverse": true}} | 9,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = c + 4; v = f + 20; c = w + 5; a = l + 8; l = m + 8; m = w + 2; x = a + 15; f = e + 5; e = u + 5; w = 10; k = x + 17; s = v + 14; h = k + 10. If w = 10, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 20 to s, which gives s = f + 34.\n2. Substitute f = e + 5 to s, which gives s = e + 39.\n3. Substitute e = u + 5 to s, which gives s = u + 44.\n4. Substitute u = c + 4 to s, which gives s = c + 48.\n5. Substitute c = w + 5 to s, which gives s = w + 53.\n6. Substitute w = 10 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 9865,
"question": "Consider a system of variables where each variable is defined as follows: u = c + 4; v = f + 20; c = w + 5; a = l + 8; l = m + 8; m = w + 2; x = a + 15; f = e + 5; e = u + 5; w = 10; k = x + 17; s = v + 14; h = k + 10. If w = 10, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 20", "j": "h + 18", "n": "j + 18", "d": "n + 15", "e": "d + 20", "g": "e + 20", "r": "q + 9", "a": "r + 13", "f": "a + 7", "w": "f + 6", "s": "w + 18", "l": "s + 3", "q": 14}, "premises": {"q": 14}, "target": "g"}, "answer": {"steps": [["e", "d + 20", "d + 40"], ["d", "n + 15", "n + 55"], ["n", "j + 18", "j + 73"], ["j", "h + 18", "h + 91"], ["h", "q + 20", "q + 111"], ["q", 14, "125"]], "target_var_name": "g", "target_value": 125, "value_dict": {"q": 14}, "is_reverse": true}} | 9,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 9; f = a + 7; n = j + 18; g = e + 20; h = q + 20; l = s + 3; s = w + 18; d = n + 15; a = r + 13; e = d + 20; w = f + 6; j = h + 18; q = 14. Given that q = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 125,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 20 to g, which gives g = d + 40.\n2. Substitute d = n + 15 to g, which gives g = n + 55.\n3. Substitute n = j + 18 to g, which gives g = j + 73.\n4. Substitute j = h + 18 to g, which gives g = h + 91.\n5. Substitute h = q + 20 to g, which gives g = q + 111.\n6. Substitute q = 14 to g, which gives g = 125.\n\nThus, the final answer is g = \\boxed{125}.",
"index": 9866,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 9; f = a + 7; n = j + 18; g = e + 20; h = q + 20; l = s + 3; s = w + 18; d = n + 15; a = r + 13; e = d + 20; w = f + 6; j = h + 18; q = 14. Given that q = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 12", "u": "k + 3", "b": "u + 6", "g": "b + 5", "o": "g + 7", "y": "o + 3", "f": "c + 15", "j": "f + 19", "i": "j + 2", "m": "i + 4", "p": "m + 18", "x": "p + 10", "c": 4}, "premises": {"c": 4}, "target": "y"}, "answer": {"steps": [["o", "g + 7", "g + 10"], ["g", "b + 5", "b + 15"], ["b", "u + 6", "u + 21"], ["u", "k + 3", "k + 24"], ["k", "c + 12", "c + 36"], ["c", 4, "40"]], "target_var_name": "y", "target_value": 40, "value_dict": {"c": 4}, "is_reverse": true}} | 9,867 | 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 = i + 4; u = k + 3; k = c + 12; p = m + 18; o = g + 7; j = f + 19; c = 4; f = c + 15; i = j + 2; y = o + 3; g = b + 5; b = u + 6; x = p + 10. If c = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 7 to y, which gives y = g + 10.\n2. Substitute g = b + 5 to y, which gives y = b + 15.\n3. Substitute b = u + 6 to y, which gives y = u + 21.\n4. Substitute u = k + 3 to y, which gives y = k + 24.\n5. Substitute k = c + 12 to y, which gives y = c + 36.\n6. Substitute c = 4 to y, which gives y = 40.\n\nThus, the final answer is y = \\boxed{40}.",
"index": 9867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 4; u = k + 3; k = c + 12; p = m + 18; o = g + 7; j = f + 19; c = 4; f = c + 15; i = j + 2; y = o + 3; g = b + 5; b = u + 6; x = p + 10. If c = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 11", "b": "a + 9", "u": "b + 4", "n": "u + 20", "y": "n + 1", "m": "y + 6", "g": "h + 14", "f": "g + 20", "r": "f + 9", "s": "r + 3", "v": "s + 8", "c": "v + 19", "h": 1}, "premises": {"h": 1}, "target": "m"}, "answer": {"steps": [["y", "n + 1", "n + 7"], ["n", "u + 20", "u + 27"], ["u", "b + 4", "b + 31"], ["b", "a + 9", "a + 40"], ["a", "h + 11", "h + 51"], ["h", 1, "52"]], "target_var_name": "m", "target_value": 52, "value_dict": {"h": 1}, "is_reverse": true}} | 9,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 3; r = f + 9; m = y + 6; b = a + 9; a = h + 11; y = n + 1; u = b + 4; n = u + 20; h = 1; f = g + 20; c = v + 19; g = h + 14; v = s + 8. If h = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 1 to m, which gives m = n + 7.\n2. Substitute n = u + 20 to m, which gives m = u + 27.\n3. Substitute u = b + 4 to m, which gives m = b + 31.\n4. Substitute b = a + 9 to m, which gives m = a + 40.\n5. Substitute a = h + 11 to m, which gives m = h + 51.\n6. Substitute h = 1 to m, which gives m = 52.\n\nThus, the final answer is m = \\boxed{52}.",
"index": 9868,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 3; r = f + 9; m = y + 6; b = a + 9; a = h + 11; y = n + 1; u = b + 4; n = u + 20; h = 1; f = g + 20; c = v + 19; g = h + 14; v = s + 8. If h = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 9", "o": "u + 5", "w": "o + 6", "j": "w + 12", "i": "j + 2", "d": "i + 10", "x": "f + 16", "h": "x + 11", "g": "h + 1", "r": "g + 6", "n": "r + 20", "c": "n + 8", "f": 6}, "premises": {"f": 6}, "target": "d"}, "answer": {"steps": [["i", "j + 2", "j + 12"], ["j", "w + 12", "w + 24"], ["w", "o + 6", "o + 30"], ["o", "u + 5", "u + 35"], ["u", "f + 9", "f + 44"], ["f", 6, "50"]], "target_var_name": "d", "target_value": 50, "value_dict": {"f": 6}, "is_reverse": true}} | 9,869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 9; o = u + 5; r = g + 6; d = i + 10; n = r + 20; h = x + 11; i = j + 2; w = o + 6; g = h + 1; x = f + 16; f = 6; c = n + 8; j = w + 12. Given that f = 6, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 2 to d, which gives d = j + 12.\n2. Substitute j = w + 12 to d, which gives d = w + 24.\n3. Substitute w = o + 6 to d, which gives d = o + 30.\n4. Substitute o = u + 5 to d, which gives d = u + 35.\n5. Substitute u = f + 9 to d, which gives d = f + 44.\n6. Substitute f = 6 to d, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 9869,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 9; o = u + 5; r = g + 6; d = i + 10; n = r + 20; h = x + 11; i = j + 2; w = o + 6; g = h + 1; x = f + 16; f = 6; c = n + 8; j = w + 12. Given that f = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 10", "o": "l + 20", "d": "o + 13", "g": "d + 8", "q": "g + 2", "s": "q + 12", "w": "n + 14", "v": "w + 16", "z": "v + 15", "t": "z + 2", "h": "t + 5", "x": "h + 6", "n": 12}, "premises": {"n": 12}, "target": "s"}, "answer": {"steps": [["q", "g + 2", "g + 14"], ["g", "d + 8", "d + 22"], ["d", "o + 13", "o + 35"], ["o", "l + 20", "l + 55"], ["l", "n + 10", "n + 65"], ["n", 12, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"n": 12}, "is_reverse": true}} | 9,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 10; x = h + 6; v = w + 16; n = 12; o = l + 20; q = g + 2; z = v + 15; t = z + 2; s = q + 12; w = n + 14; g = d + 8; h = t + 5; d = o + 13. Given that n = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 2 to s, which gives s = g + 14.\n2. Substitute g = d + 8 to s, which gives s = d + 22.\n3. Substitute d = o + 13 to s, which gives s = o + 35.\n4. Substitute o = l + 20 to s, which gives s = l + 55.\n5. Substitute l = n + 10 to s, which gives s = n + 65.\n6. Substitute n = 12 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 9870,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 10; x = h + 6; v = w + 16; n = 12; o = l + 20; q = g + 2; z = v + 15; t = z + 2; s = q + 12; w = n + 14; g = d + 8; h = t + 5; d = o + 13. Given that n = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 3", "r": "k + 6", "u": "r + 17", "d": "u + 13", "n": "d + 14", "q": "n + 2", "b": "t + 14", "p": "b + 18", "f": "p + 3", "g": "f + 13", "m": "g + 15", "v": "m + 14", "t": 17}, "premises": {"t": 17}, "target": "q"}, "answer": {"steps": [["n", "d + 14", "d + 16"], ["d", "u + 13", "u + 29"], ["u", "r + 17", "r + 46"], ["r", "k + 6", "k + 52"], ["k", "t + 3", "t + 55"], ["t", 17, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"t": 17}, "is_reverse": true}} | 9,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 17; v = m + 14; g = f + 13; d = u + 13; q = n + 2; n = d + 14; b = t + 14; u = r + 17; k = t + 3; r = k + 6; p = b + 18; m = g + 15; f = p + 3. Given that t = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 14 to q, which gives q = d + 16.\n2. Substitute d = u + 13 to q, which gives q = u + 29.\n3. Substitute u = r + 17 to q, which gives q = r + 46.\n4. Substitute r = k + 6 to q, which gives q = k + 52.\n5. Substitute k = t + 3 to q, which gives q = t + 55.\n6. Substitute t = 17 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 9871,
"question": "Suppose a collection of variables is related by the following definitions: t = 17; v = m + 14; g = f + 13; d = u + 13; q = n + 2; n = d + 14; b = t + 14; u = r + 17; k = t + 3; r = k + 6; p = b + 18; m = g + 15; f = p + 3. Given that t = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 2", "j": "i + 3", "t": "j + 8", "n": "t + 8", "p": "n + 14", "g": "p + 3", "x": "u + 19", "r": "x + 17", "w": "r + 20", "z": "w + 18", "c": "z + 13", "o": "c + 5", "u": 3}, "premises": {"u": 3}, "target": "g"}, "answer": {"steps": [["p", "n + 14", "n + 17"], ["n", "t + 8", "t + 25"], ["t", "j + 8", "j + 33"], ["j", "i + 3", "i + 36"], ["i", "u + 2", "u + 38"], ["u", 3, "41"]], "target_var_name": "g", "target_value": 41, "value_dict": {"u": 3}, "is_reverse": true}} | 9,872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = i + 3; t = j + 8; i = u + 2; u = 3; r = x + 17; c = z + 13; p = n + 14; z = w + 18; n = t + 8; o = c + 5; w = r + 20; g = p + 3; x = u + 19. If u = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 14 to g, which gives g = n + 17.\n2. Substitute n = t + 8 to g, which gives g = t + 25.\n3. Substitute t = j + 8 to g, which gives g = j + 33.\n4. Substitute j = i + 3 to g, which gives g = i + 36.\n5. Substitute i = u + 2 to g, which gives g = u + 38.\n6. Substitute u = 3 to g, which gives g = 41.\n\nThus, the final answer is g = \\boxed{41}.",
"index": 9872,
"question": "Consider a system of variables where each variable is defined as follows: j = i + 3; t = j + 8; i = u + 2; u = 3; r = x + 17; c = z + 13; p = n + 14; z = w + 18; n = t + 8; o = c + 5; w = r + 20; g = p + 3; x = u + 19. If u = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 7", "i": "u + 19", "k": "i + 19", "h": "k + 4", "r": "h + 1", "x": "r + 17", "f": "g + 15", "t": "f + 5", "o": "t + 6", "b": "o + 16", "j": "b + 7", "y": "j + 20", "g": 3}, "premises": {"g": 3}, "target": "x"}, "answer": {"steps": [["r", "h + 1", "h + 18"], ["h", "k + 4", "k + 22"], ["k", "i + 19", "i + 41"], ["i", "u + 19", "u + 60"], ["u", "g + 7", "g + 67"], ["g", 3, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"g": 3}, "is_reverse": true}} | 9,873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = i + 19; r = h + 1; f = g + 15; i = u + 19; g = 3; h = k + 4; u = g + 7; o = t + 6; j = b + 7; x = r + 17; y = j + 20; b = o + 16; t = f + 5. Given that g = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 1 to x, which gives x = h + 18.\n2. Substitute h = k + 4 to x, which gives x = k + 22.\n3. Substitute k = i + 19 to x, which gives x = i + 41.\n4. Substitute i = u + 19 to x, which gives x = u + 60.\n5. Substitute u = g + 7 to x, which gives x = g + 67.\n6. Substitute g = 3 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 9873,
"question": "Suppose a collection of variables is related by the following definitions: k = i + 19; r = h + 1; f = g + 15; i = u + 19; g = 3; h = k + 4; u = g + 7; o = t + 6; j = b + 7; x = r + 17; y = j + 20; b = o + 16; t = f + 5. Given that g = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 8", "m": "i + 14", "y": "m + 9", "x": "y + 18", "j": "x + 17", "n": "j + 16", "u": "o + 18", "s": "u + 7", "p": "s + 4", "q": "p + 9", "t": "q + 5", "g": "t + 12", "o": 11}, "premises": {"o": 11}, "target": "n"}, "answer": {"steps": [["j", "x + 17", "x + 33"], ["x", "y + 18", "y + 51"], ["y", "m + 9", "m + 60"], ["m", "i + 14", "i + 74"], ["i", "o + 8", "o + 82"], ["o", 11, "93"]], "target_var_name": "n", "target_value": 93, "value_dict": {"o": 11}, "is_reverse": true}} | 9,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 11; x = y + 18; t = q + 5; p = s + 4; q = p + 9; s = u + 7; j = x + 17; m = i + 14; u = o + 18; i = o + 8; g = t + 12; y = m + 9; n = j + 16. If o = 11, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 17 to n, which gives n = x + 33.\n2. Substitute x = y + 18 to n, which gives n = y + 51.\n3. Substitute y = m + 9 to n, which gives n = m + 60.\n4. Substitute m = i + 14 to n, which gives n = i + 74.\n5. Substitute i = o + 8 to n, which gives n = o + 82.\n6. Substitute o = 11 to n, which gives n = 93.\n\nThus, the final answer is n = \\boxed{93}.",
"index": 9874,
"question": "Consider a system of variables where each variable is defined as follows: o = 11; x = y + 18; t = q + 5; p = s + 4; q = p + 9; s = u + 7; j = x + 17; m = i + 14; u = o + 18; i = o + 8; g = t + 12; y = m + 9; n = j + 16. If o = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 8", "e": "p + 8", "o": "e + 15", "w": "o + 12", "l": "w + 11", "z": "l + 17", "t": "j + 12", "i": "t + 15", "h": "i + 13", "u": "h + 12", "m": "u + 1", "s": "m + 11", "j": 16}, "premises": {"j": 16}, "target": "z"}, "answer": {"steps": [["l", "w + 11", "w + 28"], ["w", "o + 12", "o + 40"], ["o", "e + 15", "e + 55"], ["e", "p + 8", "p + 63"], ["p", "j + 8", "j + 71"], ["j", 16, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"j": 16}, "is_reverse": true}} | 9,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 17; s = m + 11; e = p + 8; p = j + 8; t = j + 12; l = w + 11; o = e + 15; m = u + 1; h = i + 13; j = 16; i = t + 15; u = h + 12; w = o + 12. Given that j = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 11 to z, which gives z = w + 28.\n2. Substitute w = o + 12 to z, which gives z = o + 40.\n3. Substitute o = e + 15 to z, which gives z = e + 55.\n4. Substitute e = p + 8 to z, which gives z = p + 63.\n5. Substitute p = j + 8 to z, which gives z = j + 71.\n6. Substitute j = 16 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 9875,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 17; s = m + 11; e = p + 8; p = j + 8; t = j + 12; l = w + 11; o = e + 15; m = u + 1; h = i + 13; j = 16; i = t + 15; u = h + 12; w = o + 12. Given that j = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 8", "u": "a + 16", "q": "u + 18", "h": "q + 4", "n": "h + 15", "s": "n + 13", "r": "c + 3", "k": "r + 12", "m": "k + 15", "w": "m + 8", "i": "w + 5", "l": "i + 6", "c": 14}, "premises": {"c": 14}, "target": "s"}, "answer": {"steps": [["n", "h + 15", "h + 28"], ["h", "q + 4", "q + 32"], ["q", "u + 18", "u + 50"], ["u", "a + 16", "a + 66"], ["a", "c + 8", "c + 74"], ["c", 14, "88"]], "target_var_name": "s", "target_value": 88, "value_dict": {"c": 14}, "is_reverse": true}} | 9,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 6; w = m + 8; n = h + 15; h = q + 4; q = u + 18; u = a + 16; s = n + 13; c = 14; i = w + 5; r = c + 3; k = r + 12; m = k + 15; a = c + 8. If c = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 15 to s, which gives s = h + 28.\n2. Substitute h = q + 4 to s, which gives s = q + 32.\n3. Substitute q = u + 18 to s, which gives s = u + 50.\n4. Substitute u = a + 16 to s, which gives s = a + 66.\n5. Substitute a = c + 8 to s, which gives s = c + 74.\n6. Substitute c = 14 to s, which gives s = 88.\n\nThus, the final answer is s = \\boxed{88}.",
"index": 9876,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 6; w = m + 8; n = h + 15; h = q + 4; q = u + 18; u = a + 16; s = n + 13; c = 14; i = w + 5; r = c + 3; k = r + 12; m = k + 15; a = c + 8. If c = 14, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 3", "c": "k + 10", "d": "c + 18", "p": "d + 11", "l": "p + 13", "g": "l + 13", "t": "a + 13", "r": "t + 1", "y": "r + 2", "b": "y + 10", "x": "b + 12", "z": "x + 14", "a": 8}, "premises": {"a": 8}, "target": "g"}, "answer": {"steps": [["l", "p + 13", "p + 26"], ["p", "d + 11", "d + 37"], ["d", "c + 18", "c + 55"], ["c", "k + 10", "k + 65"], ["k", "a + 3", "a + 68"], ["a", 8, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"a": 8}, "is_reverse": true}} | 9,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 18; x = b + 12; g = l + 13; k = a + 3; a = 8; y = r + 2; p = d + 11; r = t + 1; t = a + 13; b = y + 10; z = x + 14; c = k + 10; l = p + 13. If a = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 13 to g, which gives g = p + 26.\n2. Substitute p = d + 11 to g, which gives g = d + 37.\n3. Substitute d = c + 18 to g, which gives g = c + 55.\n4. Substitute c = k + 10 to g, which gives g = k + 65.\n5. Substitute k = a + 3 to g, which gives g = a + 68.\n6. Substitute a = 8 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 9877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 18; x = b + 12; g = l + 13; k = a + 3; a = 8; y = r + 2; p = d + 11; r = t + 1; t = a + 13; b = y + 10; z = x + 14; c = k + 10; l = p + 13. If a = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 20", "d": "i + 14", "h": "d + 7", "w": "h + 17", "g": "w + 17", "s": "g + 11", "a": "o + 3", "x": "a + 19", "p": "x + 5", "b": "p + 6", "l": "b + 18", "f": "l + 1", "o": 19}, "premises": {"o": 19}, "target": "s"}, "answer": {"steps": [["g", "w + 17", "w + 28"], ["w", "h + 17", "h + 45"], ["h", "d + 7", "d + 52"], ["d", "i + 14", "i + 66"], ["i", "o + 20", "o + 86"], ["o", 19, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"o": 19}, "is_reverse": true}} | 9,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 3; l = b + 18; w = h + 17; p = x + 5; s = g + 11; g = w + 17; x = a + 19; b = p + 6; o = 19; f = l + 1; i = o + 20; d = i + 14; h = d + 7. If o = 19, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 17 to s, which gives s = w + 28.\n2. Substitute w = h + 17 to s, which gives s = h + 45.\n3. Substitute h = d + 7 to s, which gives s = d + 52.\n4. Substitute d = i + 14 to s, which gives s = i + 66.\n5. Substitute i = o + 20 to s, which gives s = o + 86.\n6. Substitute o = 19 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 9878,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 3; l = b + 18; w = h + 17; p = x + 5; s = g + 11; g = w + 17; x = a + 19; b = p + 6; o = 19; f = l + 1; i = o + 20; d = i + 14; h = d + 7. If o = 19, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 17", "z": "v + 19", "h": "z + 12", "x": "h + 17", "g": "x + 12", "t": "g + 4", "b": "o + 2", "n": "b + 6", "y": "n + 2", "d": "y + 11", "j": "d + 10", "f": "j + 1", "o": 6}, "premises": {"o": 6}, "target": "t"}, "answer": {"steps": [["g", "x + 12", "x + 16"], ["x", "h + 17", "h + 33"], ["h", "z + 12", "z + 45"], ["z", "v + 19", "v + 64"], ["v", "o + 17", "o + 81"], ["o", 6, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"o": 6}, "is_reverse": true}} | 9,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 10; v = o + 17; d = y + 11; b = o + 2; z = v + 19; y = n + 2; o = 6; n = b + 6; g = x + 12; f = j + 1; h = z + 12; t = g + 4; x = h + 17. If o = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 12 to t, which gives t = x + 16.\n2. Substitute x = h + 17 to t, which gives t = h + 33.\n3. Substitute h = z + 12 to t, which gives t = z + 45.\n4. Substitute z = v + 19 to t, which gives t = v + 64.\n5. Substitute v = o + 17 to t, which gives t = o + 81.\n6. Substitute o = 6 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 9879,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 10; v = o + 17; d = y + 11; b = o + 2; z = v + 19; y = n + 2; o = 6; n = b + 6; g = x + 12; f = j + 1; h = z + 12; t = g + 4; x = h + 17. If o = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 1", "x": "m + 20", "n": "x + 10", "t": "n + 12", "a": "t + 11", "i": "a + 19", "y": "b + 2", "r": "y + 19", "f": "r + 3", "c": "f + 18", "g": "c + 19", "e": "g + 8", "b": 19}, "premises": {"b": 19}, "target": "i"}, "answer": {"steps": [["a", "t + 11", "t + 30"], ["t", "n + 12", "n + 42"], ["n", "x + 10", "x + 52"], ["x", "m + 20", "m + 72"], ["m", "b + 1", "b + 73"], ["b", 19, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"b": 19}, "is_reverse": true}} | 9,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 8; f = r + 3; m = b + 1; i = a + 19; x = m + 20; n = x + 10; c = f + 18; y = b + 2; t = n + 12; g = c + 19; b = 19; a = t + 11; r = y + 19. Given that b = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 11 to i, which gives i = t + 30.\n2. Substitute t = n + 12 to i, which gives i = n + 42.\n3. Substitute n = x + 10 to i, which gives i = x + 52.\n4. Substitute x = m + 20 to i, which gives i = m + 72.\n5. Substitute m = b + 1 to i, which gives i = b + 73.\n6. Substitute b = 19 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 9880,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 8; f = r + 3; m = b + 1; i = a + 19; x = m + 20; n = x + 10; c = f + 18; y = b + 2; t = n + 12; g = c + 19; b = 19; a = t + 11; r = y + 19. Given that b = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 20", "m": "y + 4", "t": "m + 13", "p": "t + 6", "r": "p + 2", "a": "r + 6", "j": "s + 16", "u": "j + 2", "d": "u + 11", "h": "d + 4", "x": "h + 5", "e": "x + 5", "s": 17}, "premises": {"s": 17}, "target": "a"}, "answer": {"steps": [["r", "p + 2", "p + 8"], ["p", "t + 6", "t + 14"], ["t", "m + 13", "m + 27"], ["m", "y + 4", "y + 31"], ["y", "s + 20", "s + 51"], ["s", 17, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"s": 17}, "is_reverse": true}} | 9,881 | 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 = t + 6; h = d + 4; e = x + 5; a = r + 6; u = j + 2; r = p + 2; d = u + 11; y = s + 20; s = 17; x = h + 5; m = y + 4; t = m + 13; j = s + 16. If s = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 2 to a, which gives a = p + 8.\n2. Substitute p = t + 6 to a, which gives a = t + 14.\n3. Substitute t = m + 13 to a, which gives a = m + 27.\n4. Substitute m = y + 4 to a, which gives a = y + 31.\n5. Substitute y = s + 20 to a, which gives a = s + 51.\n6. Substitute s = 17 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 9881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = t + 6; h = d + 4; e = x + 5; a = r + 6; u = j + 2; r = p + 2; d = u + 11; y = s + 20; s = 17; x = h + 5; m = y + 4; t = m + 13; j = s + 16. If s = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 16", "n": "y + 10", "v": "n + 1", "z": "v + 5", "q": "z + 19", "i": "q + 15", "k": "e + 16", "u": "k + 17", "f": "u + 20", "d": "f + 4", "x": "d + 15", "c": "x + 10", "e": 11}, "premises": {"e": 11}, "target": "i"}, "answer": {"steps": [["q", "z + 19", "z + 34"], ["z", "v + 5", "v + 39"], ["v", "n + 1", "n + 40"], ["n", "y + 10", "y + 50"], ["y", "e + 16", "e + 66"], ["e", 11, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"e": 11}, "is_reverse": true}} | 9,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 15; k = e + 16; e = 11; n = y + 10; y = e + 16; f = u + 20; q = z + 19; x = d + 15; c = x + 10; u = k + 17; d = f + 4; v = n + 1; z = v + 5. If e = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 19 to i, which gives i = z + 34.\n2. Substitute z = v + 5 to i, which gives i = v + 39.\n3. Substitute v = n + 1 to i, which gives i = n + 40.\n4. Substitute n = y + 10 to i, which gives i = y + 50.\n5. Substitute y = e + 16 to i, which gives i = e + 66.\n6. Substitute e = 11 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 9882,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 15; k = e + 16; e = 11; n = y + 10; y = e + 16; f = u + 20; q = z + 19; x = d + 15; c = x + 10; u = k + 17; d = f + 4; v = n + 1; z = v + 5. If e = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 6", "y": "x + 11", "l": "y + 6", "f": "l + 14", "o": "f + 18", "n": "o + 10", "d": "a + 4", "h": "d + 10", "e": "h + 13", "s": "e + 20", "w": "s + 11", "b": "w + 4", "a": 12}, "premises": {"a": 12}, "target": "n"}, "answer": {"steps": [["o", "f + 18", "f + 28"], ["f", "l + 14", "l + 42"], ["l", "y + 6", "y + 48"], ["y", "x + 11", "x + 59"], ["x", "a + 6", "a + 65"], ["a", 12, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"a": 12}, "is_reverse": true}} | 9,883 | 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 = y + 6; x = a + 6; b = w + 4; s = e + 20; o = f + 18; a = 12; y = x + 11; w = s + 11; e = h + 13; f = l + 14; h = d + 10; n = o + 10; d = a + 4. If a = 12, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 18 to n, which gives n = f + 28.\n2. Substitute f = l + 14 to n, which gives n = l + 42.\n3. Substitute l = y + 6 to n, which gives n = y + 48.\n4. Substitute y = x + 11 to n, which gives n = x + 59.\n5. Substitute x = a + 6 to n, which gives n = a + 65.\n6. Substitute a = 12 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 9883,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = y + 6; x = a + 6; b = w + 4; s = e + 20; o = f + 18; a = 12; y = x + 11; w = s + 11; e = h + 13; f = l + 14; h = d + 10; n = o + 10; d = a + 4. If a = 12, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 8", "f": "s + 17", "c": "f + 17", "d": "c + 6", "x": "d + 1", "m": "x + 20", "z": "r + 19", "b": "z + 13", "h": "b + 15", "q": "h + 13", "w": "q + 8", "o": "w + 20", "r": 5}, "premises": {"r": 5}, "target": "m"}, "answer": {"steps": [["x", "d + 1", "d + 21"], ["d", "c + 6", "c + 27"], ["c", "f + 17", "f + 44"], ["f", "s + 17", "s + 61"], ["s", "r + 8", "r + 69"], ["r", 5, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"r": 5}, "is_reverse": true}} | 9,884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 15; c = f + 17; s = r + 8; m = x + 20; w = q + 8; f = s + 17; o = w + 20; d = c + 6; r = 5; q = h + 13; b = z + 13; z = r + 19; x = d + 1. Given that r = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 1 to m, which gives m = d + 21.\n2. Substitute d = c + 6 to m, which gives m = c + 27.\n3. Substitute c = f + 17 to m, which gives m = f + 44.\n4. Substitute f = s + 17 to m, which gives m = s + 61.\n5. Substitute s = r + 8 to m, which gives m = r + 69.\n6. Substitute r = 5 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 9884,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 15; c = f + 17; s = r + 8; m = x + 20; w = q + 8; f = s + 17; o = w + 20; d = c + 6; r = 5; q = h + 13; b = z + 13; z = r + 19; x = d + 1. Given that r = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 4", "c": "p + 6", "y": "c + 11", "i": "y + 2", "l": "i + 17", "x": "l + 11", "h": "b + 6", "q": "h + 12", "k": "q + 2", "a": "k + 6", "v": "a + 7", "d": "v + 1", "b": 10}, "premises": {"b": 10}, "target": "x"}, "answer": {"steps": [["l", "i + 17", "i + 28"], ["i", "y + 2", "y + 30"], ["y", "c + 11", "c + 41"], ["c", "p + 6", "p + 47"], ["p", "b + 4", "b + 51"], ["b", 10, "61"]], "target_var_name": "x", "target_value": 61, "value_dict": {"b": 10}, "is_reverse": true}} | 9,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 2; q = h + 12; p = b + 4; v = a + 7; d = v + 1; b = 10; y = c + 11; x = l + 11; c = p + 6; h = b + 6; l = i + 17; i = y + 2; a = k + 6. If b = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 17 to x, which gives x = i + 28.\n2. Substitute i = y + 2 to x, which gives x = y + 30.\n3. Substitute y = c + 11 to x, which gives x = c + 41.\n4. Substitute c = p + 6 to x, which gives x = p + 47.\n5. Substitute p = b + 4 to x, which gives x = b + 51.\n6. Substitute b = 10 to x, which gives x = 61.\n\nThus, the final answer is x = \\boxed{61}.",
"index": 9885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 2; q = h + 12; p = b + 4; v = a + 7; d = v + 1; b = 10; y = c + 11; x = l + 11; c = p + 6; h = b + 6; l = i + 17; i = y + 2; a = k + 6. If b = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 16", "a": "k + 14", "x": "a + 17", "h": "x + 8", "g": "h + 7", "e": "g + 4", "l": "m + 4", "u": "l + 6", "i": "u + 5", "b": "i + 2", "z": "b + 14", "y": "z + 14", "m": 5}, "premises": {"m": 5}, "target": "e"}, "answer": {"steps": [["g", "h + 7", "h + 11"], ["h", "x + 8", "x + 19"], ["x", "a + 17", "a + 36"], ["a", "k + 14", "k + 50"], ["k", "m + 16", "m + 66"], ["m", 5, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"m": 5}, "is_reverse": true}} | 9,886 | 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 = a + 17; i = u + 5; e = g + 4; y = z + 14; b = i + 2; g = h + 7; a = k + 14; l = m + 4; k = m + 16; m = 5; h = x + 8; z = b + 14; u = l + 6. If m = 5, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 7 to e, which gives e = h + 11.\n2. Substitute h = x + 8 to e, which gives e = x + 19.\n3. Substitute x = a + 17 to e, which gives e = a + 36.\n4. Substitute a = k + 14 to e, which gives e = k + 50.\n5. Substitute k = m + 16 to e, which gives e = m + 66.\n6. Substitute m = 5 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 9886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 17; i = u + 5; e = g + 4; y = z + 14; b = i + 2; g = h + 7; a = k + 14; l = m + 4; k = m + 16; m = 5; h = x + 8; z = b + 14; u = l + 6. If m = 5, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 20", "q": "i + 7", "l": "q + 10", "t": "l + 15", "c": "t + 18", "w": "c + 17", "s": "z + 10", "f": "s + 2", "r": "f + 8", "e": "r + 15", "o": "e + 20", "b": "o + 1", "z": 20}, "premises": {"z": 20}, "target": "w"}, "answer": {"steps": [["c", "t + 18", "t + 35"], ["t", "l + 15", "l + 50"], ["l", "q + 10", "q + 60"], ["q", "i + 7", "i + 67"], ["i", "z + 20", "z + 87"], ["z", 20, "107"]], "target_var_name": "w", "target_value": 107, "value_dict": {"z": 20}, "is_reverse": true}} | 9,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = r + 15; l = q + 10; r = f + 8; t = l + 15; s = z + 10; b = o + 1; q = i + 7; o = e + 20; w = c + 17; c = t + 18; i = z + 20; z = 20; f = s + 2. If z = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 18 to w, which gives w = t + 35.\n2. Substitute t = l + 15 to w, which gives w = l + 50.\n3. Substitute l = q + 10 to w, which gives w = q + 60.\n4. Substitute q = i + 7 to w, which gives w = i + 67.\n5. Substitute i = z + 20 to w, which gives w = z + 87.\n6. Substitute z = 20 to w, which gives w = 107.\n\nThus, the final answer is w = \\boxed{107}.",
"index": 9887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = r + 15; l = q + 10; r = f + 8; t = l + 15; s = z + 10; b = o + 1; q = i + 7; o = e + 20; w = c + 17; c = t + 18; i = z + 20; z = 20; f = s + 2. If z = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 5", "j": "h + 7", "n": "j + 13", "d": "n + 7", "m": "d + 13", "f": "m + 15", "l": "i + 15", "s": "l + 15", "w": "s + 14", "g": "w + 3", "v": "g + 3", "u": "v + 4", "i": 1}, "premises": {"i": 1}, "target": "f"}, "answer": {"steps": [["m", "d + 13", "d + 28"], ["d", "n + 7", "n + 35"], ["n", "j + 13", "j + 48"], ["j", "h + 7", "h + 55"], ["h", "i + 5", "i + 60"], ["i", 1, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"i": 1}, "is_reverse": true}} | 9,888 | 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 = i + 15; h = i + 5; g = w + 3; i = 1; s = l + 15; f = m + 15; d = n + 7; v = g + 3; w = s + 14; j = h + 7; n = j + 13; u = v + 4; m = d + 13. If i = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 13 to f, which gives f = d + 28.\n2. Substitute d = n + 7 to f, which gives f = n + 35.\n3. Substitute n = j + 13 to f, which gives f = j + 48.\n4. Substitute j = h + 7 to f, which gives f = h + 55.\n5. Substitute h = i + 5 to f, which gives f = i + 60.\n6. Substitute i = 1 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 9888,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 15; h = i + 5; g = w + 3; i = 1; s = l + 15; f = m + 15; d = n + 7; v = g + 3; w = s + 14; j = h + 7; n = j + 13; u = v + 4; m = d + 13. If i = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 1", "z": "j + 11", "y": "z + 7", "k": "y + 13", "s": "k + 19", "f": "s + 10", "o": "q + 15", "n": "o + 19", "i": "n + 19", "e": "i + 18", "p": "e + 17", "w": "p + 6", "q": 16}, "premises": {"q": 16}, "target": "f"}, "answer": {"steps": [["s", "k + 19", "k + 29"], ["k", "y + 13", "y + 42"], ["y", "z + 7", "z + 49"], ["z", "j + 11", "j + 60"], ["j", "q + 1", "q + 61"], ["q", 16, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"q": 16}, "is_reverse": true}} | 9,889 | 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 + 7; n = o + 19; q = 16; p = e + 17; i = n + 19; w = p + 6; z = j + 11; s = k + 19; e = i + 18; j = q + 1; o = q + 15; k = y + 13; f = s + 10. If q = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 19 to f, which gives f = k + 29.\n2. Substitute k = y + 13 to f, which gives f = y + 42.\n3. Substitute y = z + 7 to f, which gives f = z + 49.\n4. Substitute z = j + 11 to f, which gives f = j + 60.\n5. Substitute j = q + 1 to f, which gives f = q + 61.\n6. Substitute q = 16 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 9889,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 7; n = o + 19; q = 16; p = e + 17; i = n + 19; w = p + 6; z = j + 11; s = k + 19; e = i + 18; j = q + 1; o = q + 15; k = y + 13; f = s + 10. If q = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 10", "p": "q + 16", "f": "p + 15", "s": "f + 1", "y": "s + 3", "x": "y + 1", "i": "h + 10", "g": "i + 14", "b": "g + 3", "c": "b + 11", "u": "c + 5", "z": "u + 11", "h": 9}, "premises": {"h": 9}, "target": "x"}, "answer": {"steps": [["y", "s + 3", "s + 4"], ["s", "f + 1", "f + 5"], ["f", "p + 15", "p + 20"], ["p", "q + 16", "q + 36"], ["q", "h + 10", "h + 46"], ["h", 9, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"h": 9}, "is_reverse": true}} | 9,890 | 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 = h + 10; g = i + 14; s = f + 1; x = y + 1; i = h + 10; c = b + 11; y = s + 3; f = p + 15; u = c + 5; z = u + 11; h = 9; p = q + 16; b = g + 3. If h = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 3 to x, which gives x = s + 4.\n2. Substitute s = f + 1 to x, which gives x = f + 5.\n3. Substitute f = p + 15 to x, which gives x = p + 20.\n4. Substitute p = q + 16 to x, which gives x = q + 36.\n5. Substitute q = h + 10 to x, which gives x = h + 46.\n6. Substitute h = 9 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 9890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = h + 10; g = i + 14; s = f + 1; x = y + 1; i = h + 10; c = b + 11; y = s + 3; f = p + 15; u = c + 5; z = u + 11; h = 9; p = q + 16; b = g + 3. If h = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 2", "t": "h + 4", "d": "t + 3", "e": "d + 5", "l": "e + 1", "f": "l + 9", "r": "x + 19", "m": "r + 16", "i": "m + 2", "z": "i + 18", "c": "z + 2", "s": "c + 18", "x": 20}, "premises": {"x": 20}, "target": "f"}, "answer": {"steps": [["l", "e + 1", "e + 10"], ["e", "d + 5", "d + 15"], ["d", "t + 3", "t + 18"], ["t", "h + 4", "h + 22"], ["h", "x + 2", "x + 24"], ["x", 20, "44"]], "target_var_name": "f", "target_value": 44, "value_dict": {"x": 20}, "is_reverse": true}} | 9,891 | 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 = i + 18; x = 20; r = x + 19; t = h + 4; l = e + 1; i = m + 2; d = t + 3; s = c + 18; h = x + 2; c = z + 2; e = d + 5; m = r + 16; f = l + 9. If x = 20, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 1 to f, which gives f = e + 10.\n2. Substitute e = d + 5 to f, which gives f = d + 15.\n3. Substitute d = t + 3 to f, which gives f = t + 18.\n4. Substitute t = h + 4 to f, which gives f = h + 22.\n5. Substitute h = x + 2 to f, which gives f = x + 24.\n6. Substitute x = 20 to f, which gives f = 44.\n\nThus, the final answer is f = \\boxed{44}.",
"index": 9891,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = i + 18; x = 20; r = x + 19; t = h + 4; l = e + 1; i = m + 2; d = t + 3; s = c + 18; h = x + 2; c = z + 2; e = d + 5; m = r + 16; f = l + 9. If x = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 12", "z": "e + 5", "d": "z + 11", "h": "d + 17", "a": "h + 3", "m": "a + 19", "v": "o + 6", "k": "v + 6", "b": "k + 9", "x": "b + 16", "f": "x + 19", "p": "f + 17", "o": 15}, "premises": {"o": 15}, "target": "m"}, "answer": {"steps": [["a", "h + 3", "h + 22"], ["h", "d + 17", "d + 39"], ["d", "z + 11", "z + 50"], ["z", "e + 5", "e + 55"], ["e", "o + 12", "o + 67"], ["o", 15, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"o": 15}, "is_reverse": true}} | 9,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 16; v = o + 6; o = 15; p = f + 17; h = d + 17; f = x + 19; e = o + 12; d = z + 11; k = v + 6; a = h + 3; m = a + 19; z = e + 5; b = k + 9. Given that o = 15, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 3 to m, which gives m = h + 22.\n2. Substitute h = d + 17 to m, which gives m = d + 39.\n3. Substitute d = z + 11 to m, which gives m = z + 50.\n4. Substitute z = e + 5 to m, which gives m = e + 55.\n5. Substitute e = o + 12 to m, which gives m = o + 67.\n6. Substitute o = 15 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 9892,
"question": "Suppose a collection of variables is related by the following definitions: x = b + 16; v = o + 6; o = 15; p = f + 17; h = d + 17; f = x + 19; e = o + 12; d = z + 11; k = v + 6; a = h + 3; m = a + 19; z = e + 5; b = k + 9. Given that o = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 17", "o": "c + 15", "k": "o + 18", "b": "k + 18", "e": "b + 6", "z": "e + 9", "s": "p + 2", "n": "s + 4", "t": "n + 13", "v": "t + 20", "x": "v + 5", "a": "x + 16", "p": 20}, "premises": {"p": 20}, "target": "z"}, "answer": {"steps": [["e", "b + 6", "b + 15"], ["b", "k + 18", "k + 33"], ["k", "o + 18", "o + 51"], ["o", "c + 15", "c + 66"], ["c", "p + 17", "p + 83"], ["p", 20, "103"]], "target_var_name": "z", "target_value": 103, "value_dict": {"p": 20}, "is_reverse": true}} | 9,893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 4; x = v + 5; t = n + 13; e = b + 6; k = o + 18; v = t + 20; s = p + 2; z = e + 9; p = 20; o = c + 15; a = x + 16; c = p + 17; b = k + 18. Given that p = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 6 to z, which gives z = b + 15.\n2. Substitute b = k + 18 to z, which gives z = k + 33.\n3. Substitute k = o + 18 to z, which gives z = o + 51.\n4. Substitute o = c + 15 to z, which gives z = c + 66.\n5. Substitute c = p + 17 to z, which gives z = p + 83.\n6. Substitute p = 20 to z, which gives z = 103.\n\nThus, the final answer is z = \\boxed{103}.",
"index": 9893,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 4; x = v + 5; t = n + 13; e = b + 6; k = o + 18; v = t + 20; s = p + 2; z = e + 9; p = 20; o = c + 15; a = x + 16; c = p + 17; b = k + 18. Given that p = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 19", "j": "p + 6", "r": "j + 5", "s": "r + 8", "x": "s + 7", "v": "x + 6", "c": "m + 1", "t": "c + 4", "e": "t + 12", "y": "e + 1", "n": "y + 5", "b": "n + 6", "m": 20}, "premises": {"m": 20}, "target": "v"}, "answer": {"steps": [["x", "s + 7", "s + 13"], ["s", "r + 8", "r + 21"], ["r", "j + 5", "j + 26"], ["j", "p + 6", "p + 32"], ["p", "m + 19", "m + 51"], ["m", 20, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"m": 20}, "is_reverse": true}} | 9,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 4; p = m + 19; y = e + 1; s = r + 8; j = p + 6; c = m + 1; b = n + 6; x = s + 7; r = j + 5; n = y + 5; e = t + 12; v = x + 6; m = 20. If m = 20, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 7 to v, which gives v = s + 13.\n2. Substitute s = r + 8 to v, which gives v = r + 21.\n3. Substitute r = j + 5 to v, which gives v = j + 26.\n4. Substitute j = p + 6 to v, which gives v = p + 32.\n5. Substitute p = m + 19 to v, which gives v = m + 51.\n6. Substitute m = 20 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 9894,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 4; p = m + 19; y = e + 1; s = r + 8; j = p + 6; c = m + 1; b = n + 6; x = s + 7; r = j + 5; n = y + 5; e = t + 12; v = x + 6; m = 20. If m = 20, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 15", "a": "r + 18", "z": "a + 11", "i": "z + 11", "f": "i + 10", "q": "f + 18", "h": "u + 4", "m": "h + 2", "o": "m + 5", "p": "o + 10", "v": "p + 15", "k": "v + 4", "u": 12}, "premises": {"u": 12}, "target": "q"}, "answer": {"steps": [["f", "i + 10", "i + 28"], ["i", "z + 11", "z + 39"], ["z", "a + 11", "a + 50"], ["a", "r + 18", "r + 68"], ["r", "u + 15", "u + 83"], ["u", 12, "95"]], "target_var_name": "q", "target_value": 95, "value_dict": {"u": 12}, "is_reverse": true}} | 9,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 2; o = m + 5; u = 12; i = z + 11; z = a + 11; q = f + 18; p = o + 10; r = u + 15; h = u + 4; v = p + 15; k = v + 4; a = r + 18; f = i + 10. Given that u = 12, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 10 to q, which gives q = i + 28.\n2. Substitute i = z + 11 to q, which gives q = z + 39.\n3. Substitute z = a + 11 to q, which gives q = a + 50.\n4. Substitute a = r + 18 to q, which gives q = r + 68.\n5. Substitute r = u + 15 to q, which gives q = u + 83.\n6. Substitute u = 12 to q, which gives q = 95.\n\nThus, the final answer is q = \\boxed{95}.",
"index": 9895,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 2; o = m + 5; u = 12; i = z + 11; z = a + 11; q = f + 18; p = o + 10; r = u + 15; h = u + 4; v = p + 15; k = v + 4; a = r + 18; f = i + 10. Given that u = 12, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"w": "r + 19", "m": "w + 3", "c": "m + 3", "g": "c + 11", "h": "g + 16", "q": "h + 12", "y": "r + 2", "f": "y + 5", "d": "f + 12", "t": "d + 9", "b": "t + 20", "k": "b + 19", "r": 7}, "premises": {"r": 7}, "target": "q"}, "answer": {"steps": [["h", "g + 16", "g + 28"], ["g", "c + 11", "c + 39"], ["c", "m + 3", "m + 42"], ["m", "w + 3", "w + 45"], ["w", "r + 19", "r + 64"], ["r", 7, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"r": 7}, "is_reverse": true}} | 9,896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 12; w = r + 19; b = t + 20; k = b + 19; y = r + 2; m = w + 3; g = c + 11; h = g + 16; c = m + 3; d = f + 12; t = d + 9; r = 7; f = y + 5. Given that r = 7, find 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 h = g + 16 to q, which gives q = g + 28.\n2. Substitute g = c + 11 to q, which gives q = c + 39.\n3. Substitute c = m + 3 to q, which gives q = m + 42.\n4. Substitute m = w + 3 to q, which gives q = w + 45.\n5. Substitute w = r + 19 to q, which gives q = r + 64.\n6. Substitute r = 7 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 9896,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 12; w = r + 19; b = t + 20; k = b + 19; y = r + 2; m = w + 3; g = c + 11; h = g + 16; c = m + 3; d = f + 12; t = d + 9; r = 7; f = y + 5. Given that r = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 2", "l": "g + 2", "m": "l + 11", "r": "m + 10", "t": "r + 18", "q": "t + 5", "d": "u + 6", "a": "d + 15", "v": "a + 7", "i": "v + 11", "n": "i + 20", "p": "n + 5", "u": 18}, "premises": {"u": 18}, "target": "q"}, "answer": {"steps": [["t", "r + 18", "r + 23"], ["r", "m + 10", "m + 33"], ["m", "l + 11", "l + 44"], ["l", "g + 2", "g + 46"], ["g", "u + 2", "u + 48"], ["u", 18, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"u": 18}, "is_reverse": true}} | 9,897 | 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 = n + 5; t = r + 18; l = g + 2; v = a + 7; m = l + 11; a = d + 15; n = i + 20; g = u + 2; d = u + 6; u = 18; q = t + 5; i = v + 11; r = m + 10. If u = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 18 to q, which gives q = r + 23.\n2. Substitute r = m + 10 to q, which gives q = m + 33.\n3. Substitute m = l + 11 to q, which gives q = l + 44.\n4. Substitute l = g + 2 to q, which gives q = g + 46.\n5. Substitute g = u + 2 to q, which gives q = u + 48.\n6. Substitute u = 18 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 9897,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 5; t = r + 18; l = g + 2; v = a + 7; m = l + 11; a = d + 15; n = i + 20; g = u + 2; d = u + 6; u = 18; q = t + 5; i = v + 11; r = m + 10. If u = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 12", "w": "r + 10", "c": "w + 11", "x": "c + 5", "g": "x + 14", "v": "g + 12", "o": "k + 2", "z": "o + 3", "m": "z + 8", "q": "m + 17", "t": "q + 19", "p": "t + 10", "k": 17}, "premises": {"k": 17}, "target": "v"}, "answer": {"steps": [["g", "x + 14", "x + 26"], ["x", "c + 5", "c + 31"], ["c", "w + 11", "w + 42"], ["w", "r + 10", "r + 52"], ["r", "k + 12", "k + 64"], ["k", 17, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"k": 17}, "is_reverse": true}} | 9,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = m + 17; z = o + 3; k = 17; r = k + 12; o = k + 2; c = w + 11; t = q + 19; w = r + 10; m = z + 8; p = t + 10; x = c + 5; v = g + 12; g = x + 14. Given that k = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 14 to v, which gives v = x + 26.\n2. Substitute x = c + 5 to v, which gives v = c + 31.\n3. Substitute c = w + 11 to v, which gives v = w + 42.\n4. Substitute w = r + 10 to v, which gives v = r + 52.\n5. Substitute r = k + 12 to v, which gives v = k + 64.\n6. Substitute k = 17 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 9898,
"question": "Suppose a collection of variables is related by the following definitions: q = m + 17; z = o + 3; k = 17; r = k + 12; o = k + 2; c = w + 11; t = q + 19; w = r + 10; m = z + 8; p = t + 10; x = c + 5; v = g + 12; g = x + 14. Given that k = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 9", "q": "b + 8", "m": "q + 20", "n": "m + 15", "u": "n + 7", "d": "u + 14", "h": "z + 7", "r": "h + 20", "x": "r + 11", "v": "x + 4", "a": "v + 4", "p": "a + 7", "z": 5}, "premises": {"z": 5}, "target": "d"}, "answer": {"steps": [["u", "n + 7", "n + 21"], ["n", "m + 15", "m + 36"], ["m", "q + 20", "q + 56"], ["q", "b + 8", "b + 64"], ["b", "z + 9", "z + 73"], ["z", 5, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"z": 5}, "is_reverse": true}} | 9,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 4; u = n + 7; m = q + 20; a = v + 4; x = r + 11; b = z + 9; n = m + 15; z = 5; r = h + 20; d = u + 14; q = b + 8; p = a + 7; h = z + 7. If z = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 7 to d, which gives d = n + 21.\n2. Substitute n = m + 15 to d, which gives d = m + 36.\n3. Substitute m = q + 20 to d, which gives d = q + 56.\n4. Substitute q = b + 8 to d, which gives d = b + 64.\n5. Substitute b = z + 9 to d, which gives d = z + 73.\n6. Substitute z = 5 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 9899,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 4; u = n + 7; m = q + 20; a = v + 4; x = r + 11; b = z + 9; n = m + 15; z = 5; r = h + 20; d = u + 14; q = b + 8; p = a + 7; h = z + 7. If z = 5, determine the value of d.",
"split": "train"
} |
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