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": {"n": "i + 16", "y": "n + 15", "l": "y + 16", "k": "l + 19", "e": "k + 20", "m": "e + 14", "z": "i + 1", "f": "z + 7", "o": "f + 16", "g": "o + 10", "d": "g + 2", "a": "d + 12", "i": 7}, "premises": {"i": 7}, "target": "m"}, "answer": {"steps": [["e", "k + 20", "k + 34"], ["k", "l + 19", "l + 53"], ["l", "y + 16", "y + 69"], ["y", "n + 15", "n + 84"], ["n", "i + 16", "i + 100"], ["i", 7, "107"]], "target_var_name": "m", "target_value": 107, "value_dict": {"i": 7}, "is_reverse": true}} | 9,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 7; l = y + 16; e = k + 20; y = n + 15; k = l + 19; a = d + 12; g = o + 10; n = i + 16; z = i + 1; f = z + 7; m = e + 14; d = g + 2; o = f + 16. If i = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 20 to m, which gives m = k + 34.\n2. Substitute k = l + 19 to m, which gives m = l + 53.\n3. Substitute l = y + 16 to m, which gives m = y + 69.\n4. Substitute y = n + 15 to m, which gives m = n + 84.\n5. Substitute n = i + 16 to m, which gives m = i + 100.\n6. Substitute i = 7 to m, which gives m = 107.\n\nThus, the final answer is m = \\boxed{107}.",
"index": 9100,
"question": "Consider a system of variables where each variable is defined as follows: i = 7; l = y + 16; e = k + 20; y = n + 15; k = l + 19; a = d + 12; g = o + 10; n = i + 16; z = i + 1; f = z + 7; m = e + 14; d = g + 2; o = f + 16. If i = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 10", "n": "g + 3", "m": "n + 10", "w": "m + 3", "a": "w + 2", "y": "a + 5", "p": "r + 17", "i": "p + 18", "x": "i + 1", "v": "x + 1", "z": "v + 17", "u": "z + 6", "r": 14}, "premises": {"r": 14}, "target": "y"}, "answer": {"steps": [["a", "w + 2", "w + 7"], ["w", "m + 3", "m + 10"], ["m", "n + 10", "n + 20"], ["n", "g + 3", "g + 23"], ["g", "r + 10", "r + 33"], ["r", 14, "47"]], "target_var_name": "y", "target_value": 47, "value_dict": {"r": 14}, "is_reverse": true}} | 9,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 2; p = r + 17; i = p + 18; z = v + 17; m = n + 10; n = g + 3; x = i + 1; r = 14; v = x + 1; u = z + 6; w = m + 3; g = r + 10; y = a + 5. If r = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 2 to y, which gives y = w + 7.\n2. Substitute w = m + 3 to y, which gives y = m + 10.\n3. Substitute m = n + 10 to y, which gives y = n + 20.\n4. Substitute n = g + 3 to y, which gives y = g + 23.\n5. Substitute g = r + 10 to y, which gives y = r + 33.\n6. Substitute r = 14 to y, which gives y = 47.\n\nThus, the final answer is y = \\boxed{47}.",
"index": 9101,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 2; p = r + 17; i = p + 18; z = v + 17; m = n + 10; n = g + 3; x = i + 1; r = 14; v = x + 1; u = z + 6; w = m + 3; g = r + 10; y = a + 5. If r = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 3", "c": "y + 9", "j": "c + 12", "g": "j + 6", "u": "g + 19", "o": "u + 5", "l": "t + 5", "i": "l + 12", "m": "i + 13", "r": "m + 7", "d": "r + 13", "w": "d + 5", "t": 12}, "premises": {"t": 12}, "target": "o"}, "answer": {"steps": [["u", "g + 19", "g + 24"], ["g", "j + 6", "j + 30"], ["j", "c + 12", "c + 42"], ["c", "y + 9", "y + 51"], ["y", "t + 3", "t + 54"], ["t", 12, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"t": 12}, "is_reverse": true}} | 9,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 5; u = g + 19; j = c + 12; o = u + 5; m = i + 13; t = 12; y = t + 3; r = m + 7; d = r + 13; g = j + 6; c = y + 9; l = t + 5; i = l + 12. Given that t = 12, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 19 to o, which gives o = g + 24.\n2. Substitute g = j + 6 to o, which gives o = j + 30.\n3. Substitute j = c + 12 to o, which gives o = c + 42.\n4. Substitute c = y + 9 to o, which gives o = y + 51.\n5. Substitute y = t + 3 to o, which gives o = t + 54.\n6. Substitute t = 12 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 9102,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 5; u = g + 19; j = c + 12; o = u + 5; m = i + 13; t = 12; y = t + 3; r = m + 7; d = r + 13; g = j + 6; c = y + 9; l = t + 5; i = l + 12. Given that t = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 13", "t": "i + 12", "m": "t + 2", "k": "m + 19", "v": "k + 5", "n": "v + 10", "y": "z + 16", "x": "y + 8", "o": "x + 5", "f": "o + 1", "p": "f + 6", "r": "p + 5", "z": 16}, "premises": {"z": 16}, "target": "n"}, "answer": {"steps": [["v", "k + 5", "k + 15"], ["k", "m + 19", "m + 34"], ["m", "t + 2", "t + 36"], ["t", "i + 12", "i + 48"], ["i", "z + 13", "z + 61"], ["z", 16, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"z": 16}, "is_reverse": true}} | 9,103 | 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 + 16; k = m + 19; o = x + 5; t = i + 12; x = y + 8; i = z + 13; v = k + 5; z = 16; f = o + 1; n = v + 10; r = p + 5; m = t + 2; p = f + 6. If z = 16, determine the 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 v = k + 5 to n, which gives n = k + 15.\n2. Substitute k = m + 19 to n, which gives n = m + 34.\n3. Substitute m = t + 2 to n, which gives n = t + 36.\n4. Substitute t = i + 12 to n, which gives n = i + 48.\n5. Substitute i = z + 13 to n, which gives n = z + 61.\n6. Substitute z = 16 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 9103,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 16; k = m + 19; o = x + 5; t = i + 12; x = y + 8; i = z + 13; v = k + 5; z = 16; f = o + 1; n = v + 10; r = p + 5; m = t + 2; p = f + 6. If z = 16, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 13", "z": "y + 20", "o": "z + 9", "d": "o + 12", "j": "d + 8", "x": "j + 6", "f": "m + 5", "v": "f + 2", "n": "v + 12", "c": "n + 10", "w": "c + 11", "a": "w + 7", "m": 2}, "premises": {"m": 2}, "target": "x"}, "answer": {"steps": [["j", "d + 8", "d + 14"], ["d", "o + 12", "o + 26"], ["o", "z + 9", "z + 35"], ["z", "y + 20", "y + 55"], ["y", "m + 13", "m + 68"], ["m", 2, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"m": 2}, "is_reverse": true}} | 9,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 12; m = 2; z = y + 20; o = z + 9; a = w + 7; d = o + 12; x = j + 6; w = c + 11; v = f + 2; c = n + 10; f = m + 5; j = d + 8; y = m + 13. Given that m = 2, 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 j = d + 8 to x, which gives x = d + 14.\n2. Substitute d = o + 12 to x, which gives x = o + 26.\n3. Substitute o = z + 9 to x, which gives x = z + 35.\n4. Substitute z = y + 20 to x, which gives x = y + 55.\n5. Substitute y = m + 13 to x, which gives x = m + 68.\n6. Substitute m = 2 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 9104,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 12; m = 2; z = y + 20; o = z + 9; a = w + 7; d = o + 12; x = j + 6; w = c + 11; v = f + 2; c = n + 10; f = m + 5; j = d + 8; y = m + 13. Given that m = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 11", "t": "h + 12", "b": "t + 10", "k": "b + 4", "x": "k + 13", "c": "x + 17", "s": "j + 15", "a": "s + 20", "l": "a + 11", "n": "l + 4", "m": "n + 14", "v": "m + 6", "j": 16}, "premises": {"j": 16}, "target": "c"}, "answer": {"steps": [["x", "k + 13", "k + 30"], ["k", "b + 4", "b + 34"], ["b", "t + 10", "t + 44"], ["t", "h + 12", "h + 56"], ["h", "j + 11", "j + 67"], ["j", 16, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"j": 16}, "is_reverse": true}} | 9,105 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 6; l = a + 11; a = s + 20; m = n + 14; h = j + 11; s = j + 15; x = k + 13; b = t + 10; k = b + 4; c = x + 17; j = 16; t = h + 12; n = l + 4. If j = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 13 to c, which gives c = k + 30.\n2. Substitute k = b + 4 to c, which gives c = b + 34.\n3. Substitute b = t + 10 to c, which gives c = t + 44.\n4. Substitute t = h + 12 to c, which gives c = h + 56.\n5. Substitute h = j + 11 to c, which gives c = j + 67.\n6. Substitute j = 16 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 9105,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 6; l = a + 11; a = s + 20; m = n + 14; h = j + 11; s = j + 15; x = k + 13; b = t + 10; k = b + 4; c = x + 17; j = 16; t = h + 12; n = l + 4. If j = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 2", "g": "s + 15", "q": "g + 20", "p": "q + 13", "n": "p + 5", "l": "n + 13", "t": "j + 3", "k": "t + 6", "y": "k + 3", "o": "y + 2", "d": "o + 20", "f": "d + 12", "j": 14}, "premises": {"j": 14}, "target": "l"}, "answer": {"steps": [["n", "p + 5", "p + 18"], ["p", "q + 13", "q + 31"], ["q", "g + 20", "g + 51"], ["g", "s + 15", "s + 66"], ["s", "j + 2", "j + 68"], ["j", 14, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 14}, "is_reverse": true}} | 9,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 3; y = k + 3; k = t + 6; s = j + 2; p = q + 13; d = o + 20; o = y + 2; n = p + 5; g = s + 15; q = g + 20; j = 14; l = n + 13; f = d + 12. Given that j = 14, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 5 to l, which gives l = p + 18.\n2. Substitute p = q + 13 to l, which gives l = q + 31.\n3. Substitute q = g + 20 to l, which gives l = g + 51.\n4. Substitute g = s + 15 to l, which gives l = s + 66.\n5. Substitute s = j + 2 to l, which gives l = j + 68.\n6. Substitute j = 14 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 9106,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 3; y = k + 3; k = t + 6; s = j + 2; p = q + 13; d = o + 20; o = y + 2; n = p + 5; g = s + 15; q = g + 20; j = 14; l = n + 13; f = d + 12. Given that j = 14, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 2", "u": "o + 8", "c": "u + 12", "d": "c + 15", "q": "d + 11", "s": "q + 1", "t": "b + 14", "x": "t + 9", "m": "x + 11", "f": "m + 8", "e": "f + 20", "h": "e + 16", "b": 7}, "premises": {"b": 7}, "target": "s"}, "answer": {"steps": [["q", "d + 11", "d + 12"], ["d", "c + 15", "c + 27"], ["c", "u + 12", "u + 39"], ["u", "o + 8", "o + 47"], ["o", "b + 2", "b + 49"], ["b", 7, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"b": 7}, "is_reverse": true}} | 9,107 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = u + 12; s = q + 1; b = 7; h = e + 16; d = c + 15; x = t + 9; t = b + 14; m = x + 11; f = m + 8; e = f + 20; o = b + 2; q = d + 11; u = o + 8. Given that b = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 11 to s, which gives s = d + 12.\n2. Substitute d = c + 15 to s, which gives s = c + 27.\n3. Substitute c = u + 12 to s, which gives s = u + 39.\n4. Substitute u = o + 8 to s, which gives s = o + 47.\n5. Substitute o = b + 2 to s, which gives s = b + 49.\n6. Substitute b = 7 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 9107,
"question": "Suppose a collection of variables is related by the following definitions: c = u + 12; s = q + 1; b = 7; h = e + 16; d = c + 15; x = t + 9; t = b + 14; m = x + 11; f = m + 8; e = f + 20; o = b + 2; q = d + 11; u = o + 8. Given that b = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 7", "f": "e + 18", "i": "f + 7", "a": "i + 9", "w": "a + 3", "k": "w + 1", "o": "j + 3", "r": "o + 13", "m": "r + 17", "v": "m + 17", "y": "v + 16", "d": "y + 7", "j": 9}, "premises": {"j": 9}, "target": "k"}, "answer": {"steps": [["w", "a + 3", "a + 4"], ["a", "i + 9", "i + 13"], ["i", "f + 7", "f + 20"], ["f", "e + 18", "e + 38"], ["e", "j + 7", "j + 45"], ["j", 9, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"j": 9}, "is_reverse": true}} | 9,108 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 9; r = o + 13; v = m + 17; m = r + 17; o = j + 3; i = f + 7; y = v + 16; d = y + 7; a = i + 9; k = w + 1; w = a + 3; f = e + 18; e = j + 7. If j = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 3 to k, which gives k = a + 4.\n2. Substitute a = i + 9 to k, which gives k = i + 13.\n3. Substitute i = f + 7 to k, which gives k = f + 20.\n4. Substitute f = e + 18 to k, which gives k = e + 38.\n5. Substitute e = j + 7 to k, which gives k = j + 45.\n6. Substitute j = 9 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 9108,
"question": "Consider a system of variables where each variable is defined as follows: j = 9; r = o + 13; v = m + 17; m = r + 17; o = j + 3; i = f + 7; y = v + 16; d = y + 7; a = i + 9; k = w + 1; w = a + 3; f = e + 18; e = j + 7. If j = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 12", "f": "b + 3", "z": "f + 20", "k": "z + 16", "h": "k + 11", "m": "h + 12", "c": "y + 19", "q": "c + 16", "a": "q + 9", "n": "a + 13", "j": "n + 15", "r": "j + 10", "y": 16}, "premises": {"y": 16}, "target": "m"}, "answer": {"steps": [["h", "k + 11", "k + 23"], ["k", "z + 16", "z + 39"], ["z", "f + 20", "f + 59"], ["f", "b + 3", "b + 62"], ["b", "y + 12", "y + 74"], ["y", 16, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"y": 16}, "is_reverse": true}} | 9,109 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 16; j = n + 15; c = y + 19; z = f + 20; h = k + 11; f = b + 3; y = 16; m = h + 12; r = j + 10; b = y + 12; k = z + 16; a = q + 9; n = a + 13. If y = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 11 to m, which gives m = k + 23.\n2. Substitute k = z + 16 to m, which gives m = z + 39.\n3. Substitute z = f + 20 to m, which gives m = f + 59.\n4. Substitute f = b + 3 to m, which gives m = b + 62.\n5. Substitute b = y + 12 to m, which gives m = y + 74.\n6. Substitute y = 16 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 9109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 16; j = n + 15; c = y + 19; z = f + 20; h = k + 11; f = b + 3; y = 16; m = h + 12; r = j + 10; b = y + 12; k = z + 16; a = q + 9; n = a + 13. If y = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 17", "t": "p + 13", "g": "t + 14", "v": "g + 4", "i": "v + 8", "d": "i + 10", "q": "x + 2", "z": "q + 11", "r": "z + 14", "w": "r + 16", "n": "w + 18", "c": "n + 10", "x": 8}, "premises": {"x": 8}, "target": "d"}, "answer": {"steps": [["i", "v + 8", "v + 18"], ["v", "g + 4", "g + 22"], ["g", "t + 14", "t + 36"], ["t", "p + 13", "p + 49"], ["p", "x + 17", "x + 66"], ["x", 8, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"x": 8}, "is_reverse": true}} | 9,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 10; t = p + 13; p = x + 17; i = v + 8; x = 8; c = n + 10; g = t + 14; r = z + 14; q = x + 2; z = q + 11; v = g + 4; w = r + 16; n = w + 18. Given that x = 8, 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 i = v + 8 to d, which gives d = v + 18.\n2. Substitute v = g + 4 to d, which gives d = g + 22.\n3. Substitute g = t + 14 to d, which gives d = t + 36.\n4. Substitute t = p + 13 to d, which gives d = p + 49.\n5. Substitute p = x + 17 to d, which gives d = x + 66.\n6. Substitute x = 8 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 9110,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 10; t = p + 13; p = x + 17; i = v + 8; x = 8; c = n + 10; g = t + 14; r = z + 14; q = x + 2; z = q + 11; v = g + 4; w = r + 16; n = w + 18. Given that x = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 14", "v": "a + 20", "n": "v + 20", "y": "n + 13", "t": "y + 18", "c": "t + 2", "r": "d + 12", "w": "r + 2", "i": "w + 18", "m": "i + 5", "g": "m + 14", "o": "g + 6", "d": 13}, "premises": {"d": 13}, "target": "c"}, "answer": {"steps": [["t", "y + 18", "y + 20"], ["y", "n + 13", "n + 33"], ["n", "v + 20", "v + 53"], ["v", "a + 20", "a + 73"], ["a", "d + 14", "d + 87"], ["d", 13, "100"]], "target_var_name": "c", "target_value": 100, "value_dict": {"d": 13}, "is_reverse": true}} | 9,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 2; o = g + 6; g = m + 14; i = w + 18; n = v + 20; t = y + 18; w = r + 2; y = n + 13; m = i + 5; r = d + 12; d = 13; v = a + 20; a = d + 14. If d = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 18 to c, which gives c = y + 20.\n2. Substitute y = n + 13 to c, which gives c = n + 33.\n3. Substitute n = v + 20 to c, which gives c = v + 53.\n4. Substitute v = a + 20 to c, which gives c = a + 73.\n5. Substitute a = d + 14 to c, which gives c = d + 87.\n6. Substitute d = 13 to c, which gives c = 100.\n\nThus, the final answer is c = \\boxed{100}.",
"index": 9111,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 2; o = g + 6; g = m + 14; i = w + 18; n = v + 20; t = y + 18; w = r + 2; y = n + 13; m = i + 5; r = d + 12; d = 13; v = a + 20; a = d + 14. If d = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 16", "g": "b + 20", "c": "g + 4", "f": "c + 18", "s": "f + 12", "k": "s + 5", "q": "x + 18", "h": "q + 16", "a": "h + 13", "w": "a + 18", "v": "w + 2", "d": "v + 20", "x": 13}, "premises": {"x": 13}, "target": "k"}, "answer": {"steps": [["s", "f + 12", "f + 17"], ["f", "c + 18", "c + 35"], ["c", "g + 4", "g + 39"], ["g", "b + 20", "b + 59"], ["b", "x + 16", "x + 75"], ["x", 13, "88"]], "target_var_name": "k", "target_value": 88, "value_dict": {"x": 13}, "is_reverse": true}} | 9,112 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 20; w = a + 18; h = q + 16; s = f + 12; q = x + 18; v = w + 2; f = c + 18; x = 13; b = x + 16; d = v + 20; c = g + 4; a = h + 13; k = s + 5. If x = 13, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 12 to k, which gives k = f + 17.\n2. Substitute f = c + 18 to k, which gives k = c + 35.\n3. Substitute c = g + 4 to k, which gives k = g + 39.\n4. Substitute g = b + 20 to k, which gives k = b + 59.\n5. Substitute b = x + 16 to k, which gives k = x + 75.\n6. Substitute x = 13 to k, which gives k = 88.\n\nThus, the final answer is k = \\boxed{88}.",
"index": 9112,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 20; w = a + 18; h = q + 16; s = f + 12; q = x + 18; v = w + 2; f = c + 18; x = 13; b = x + 16; d = v + 20; c = g + 4; a = h + 13; k = s + 5. If x = 13, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 10", "g": "r + 3", "p": "g + 12", "u": "p + 6", "x": "u + 14", "c": "x + 2", "t": "h + 4", "m": "t + 8", "n": "m + 9", "q": "n + 1", "k": "q + 17", "i": "k + 9", "h": 2}, "premises": {"h": 2}, "target": "c"}, "answer": {"steps": [["x", "u + 14", "u + 16"], ["u", "p + 6", "p + 22"], ["p", "g + 12", "g + 34"], ["g", "r + 3", "r + 37"], ["r", "h + 10", "h + 47"], ["h", 2, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"h": 2}, "is_reverse": true}} | 9,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = k + 9; p = g + 12; t = h + 4; k = q + 17; c = x + 2; g = r + 3; x = u + 14; u = p + 6; n = m + 9; h = 2; m = t + 8; q = n + 1; r = h + 10. Given that h = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 14 to c, which gives c = u + 16.\n2. Substitute u = p + 6 to c, which gives c = p + 22.\n3. Substitute p = g + 12 to c, which gives c = g + 34.\n4. Substitute g = r + 3 to c, which gives c = r + 37.\n5. Substitute r = h + 10 to c, which gives c = h + 47.\n6. Substitute h = 2 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 9113,
"question": "Suppose a collection of variables is related by the following definitions: i = k + 9; p = g + 12; t = h + 4; k = q + 17; c = x + 2; g = r + 3; x = u + 14; u = p + 6; n = m + 9; h = 2; m = t + 8; q = n + 1; r = h + 10. Given that h = 2, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 11", "m": "p + 14", "l": "m + 5", "o": "l + 13", "t": "o + 5", "u": "t + 11", "q": "g + 16", "e": "q + 9", "d": "e + 3", "s": "d + 5", "f": "s + 12", "a": "f + 9", "g": 1}, "premises": {"g": 1}, "target": "u"}, "answer": {"steps": [["t", "o + 5", "o + 16"], ["o", "l + 13", "l + 29"], ["l", "m + 5", "m + 34"], ["m", "p + 14", "p + 48"], ["p", "g + 11", "g + 59"], ["g", 1, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"g": 1}, "is_reverse": true}} | 9,114 | 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 = g + 16; d = e + 3; u = t + 11; l = m + 5; g = 1; s = d + 5; f = s + 12; m = p + 14; t = o + 5; p = g + 11; e = q + 9; a = f + 9; o = l + 13. If g = 1, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 5 to u, which gives u = o + 16.\n2. Substitute o = l + 13 to u, which gives u = l + 29.\n3. Substitute l = m + 5 to u, which gives u = m + 34.\n4. Substitute m = p + 14 to u, which gives u = p + 48.\n5. Substitute p = g + 11 to u, which gives u = g + 59.\n6. Substitute g = 1 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 9114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 16; d = e + 3; u = t + 11; l = m + 5; g = 1; s = d + 5; f = s + 12; m = p + 14; t = o + 5; p = g + 11; e = q + 9; a = f + 9; o = l + 13. If g = 1, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 11", "e": "s + 3", "d": "e + 6", "m": "d + 15", "z": "m + 1", "i": "z + 14", "p": "k + 3", "q": "p + 4", "b": "q + 12", "t": "b + 2", "a": "t + 18", "h": "a + 6", "k": 1}, "premises": {"k": 1}, "target": "i"}, "answer": {"steps": [["z", "m + 1", "m + 15"], ["m", "d + 15", "d + 30"], ["d", "e + 6", "e + 36"], ["e", "s + 3", "s + 39"], ["s", "k + 11", "k + 50"], ["k", 1, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"k": 1}, "is_reverse": true}} | 9,115 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 6; s = k + 11; b = q + 12; t = b + 2; a = t + 18; e = s + 3; m = d + 15; k = 1; z = m + 1; q = p + 4; i = z + 14; p = k + 3; h = a + 6. If k = 1, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 1 to i, which gives i = m + 15.\n2. Substitute m = d + 15 to i, which gives i = d + 30.\n3. Substitute d = e + 6 to i, which gives i = e + 36.\n4. Substitute e = s + 3 to i, which gives i = s + 39.\n5. Substitute s = k + 11 to i, which gives i = k + 50.\n6. Substitute k = 1 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 9115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 6; s = k + 11; b = q + 12; t = b + 2; a = t + 18; e = s + 3; m = d + 15; k = 1; z = m + 1; q = p + 4; i = z + 14; p = k + 3; h = a + 6. If k = 1, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 2", "i": "n + 18", "m": "i + 9", "r": "m + 5", "s": "r + 18", "b": "s + 13", "x": "l + 19", "d": "x + 4", "y": "d + 7", "u": "y + 17", "g": "u + 8", "v": "g + 2", "l": 2}, "premises": {"l": 2}, "target": "b"}, "answer": {"steps": [["s", "r + 18", "r + 31"], ["r", "m + 5", "m + 36"], ["m", "i + 9", "i + 45"], ["i", "n + 18", "n + 63"], ["n", "l + 2", "l + 65"], ["l", 2, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"l": 2}, "is_reverse": true}} | 9,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 5; b = s + 13; s = r + 18; m = i + 9; l = 2; n = l + 2; d = x + 4; y = d + 7; g = u + 8; i = n + 18; v = g + 2; u = y + 17; x = l + 19. If l = 2, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 18 to b, which gives b = r + 31.\n2. Substitute r = m + 5 to b, which gives b = m + 36.\n3. Substitute m = i + 9 to b, which gives b = i + 45.\n4. Substitute i = n + 18 to b, which gives b = n + 63.\n5. Substitute n = l + 2 to b, which gives b = l + 65.\n6. Substitute l = 2 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 9116,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 5; b = s + 13; s = r + 18; m = i + 9; l = 2; n = l + 2; d = x + 4; y = d + 7; g = u + 8; i = n + 18; v = g + 2; u = y + 17; x = l + 19. If l = 2, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 15", "j": "v + 2", "h": "j + 13", "y": "h + 20", "o": "y + 9", "p": "o + 2", "x": "w + 5", "m": "x + 4", "e": "m + 10", "g": "e + 18", "u": "g + 5", "q": "u + 13", "w": 5}, "premises": {"w": 5}, "target": "p"}, "answer": {"steps": [["o", "y + 9", "y + 11"], ["y", "h + 20", "h + 31"], ["h", "j + 13", "j + 44"], ["j", "v + 2", "v + 46"], ["v", "w + 15", "w + 61"], ["w", 5, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"w": 5}, "is_reverse": true}} | 9,117 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 13; o = y + 9; p = o + 2; y = h + 20; w = 5; j = v + 2; v = w + 15; u = g + 5; q = u + 13; m = x + 4; x = w + 5; g = e + 18; e = m + 10. If w = 5, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 9 to p, which gives p = y + 11.\n2. Substitute y = h + 20 to p, which gives p = h + 31.\n3. Substitute h = j + 13 to p, which gives p = j + 44.\n4. Substitute j = v + 2 to p, which gives p = v + 46.\n5. Substitute v = w + 15 to p, which gives p = w + 61.\n6. Substitute w = 5 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 9117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 13; o = y + 9; p = o + 2; y = h + 20; w = 5; j = v + 2; v = w + 15; u = g + 5; q = u + 13; m = x + 4; x = w + 5; g = e + 18; e = m + 10. If w = 5, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 12", "y": "p + 4", "s": "y + 9", "x": "s + 18", "i": "x + 12", "v": "i + 12", "t": "b + 9", "w": "t + 17", "k": "w + 3", "d": "k + 20", "m": "d + 19", "n": "m + 16", "b": 9}, "premises": {"b": 9}, "target": "v"}, "answer": {"steps": [["i", "x + 12", "x + 24"], ["x", "s + 18", "s + 42"], ["s", "y + 9", "y + 51"], ["y", "p + 4", "p + 55"], ["p", "b + 12", "b + 67"], ["b", 9, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"b": 9}, "is_reverse": true}} | 9,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 20; v = i + 12; b = 9; n = m + 16; w = t + 17; t = b + 9; k = w + 3; x = s + 18; s = y + 9; i = x + 12; p = b + 12; y = p + 4; m = d + 19. Given that b = 9, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 12 to v, which gives v = x + 24.\n2. Substitute x = s + 18 to v, which gives v = s + 42.\n3. Substitute s = y + 9 to v, which gives v = y + 51.\n4. Substitute y = p + 4 to v, which gives v = p + 55.\n5. Substitute p = b + 12 to v, which gives v = b + 67.\n6. Substitute b = 9 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 9118,
"question": "Suppose a collection of variables is related by the following definitions: d = k + 20; v = i + 12; b = 9; n = m + 16; w = t + 17; t = b + 9; k = w + 3; x = s + 18; s = y + 9; i = x + 12; p = b + 12; y = p + 4; m = d + 19. Given that b = 9, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 6", "o": "h + 4", "a": "o + 2", "t": "a + 4", "j": "t + 14", "s": "j + 4", "i": "r + 3", "d": "i + 11", "q": "d + 11", "c": "q + 15", "k": "c + 4", "g": "k + 16", "r": 7}, "premises": {"r": 7}, "target": "s"}, "answer": {"steps": [["j", "t + 14", "t + 18"], ["t", "a + 4", "a + 22"], ["a", "o + 2", "o + 24"], ["o", "h + 4", "h + 28"], ["h", "r + 6", "r + 34"], ["r", 7, "41"]], "target_var_name": "s", "target_value": 41, "value_dict": {"r": 7}, "is_reverse": true}} | 9,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 11; s = j + 4; h = r + 6; k = c + 4; i = r + 3; a = o + 2; j = t + 14; o = h + 4; r = 7; c = q + 15; d = i + 11; g = k + 16; t = a + 4. Given that r = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 14 to s, which gives s = t + 18.\n2. Substitute t = a + 4 to s, which gives s = a + 22.\n3. Substitute a = o + 2 to s, which gives s = o + 24.\n4. Substitute o = h + 4 to s, which gives s = h + 28.\n5. Substitute h = r + 6 to s, which gives s = r + 34.\n6. Substitute r = 7 to s, which gives s = 41.\n\nThus, the final answer is s = \\boxed{41}.",
"index": 9119,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 11; s = j + 4; h = r + 6; k = c + 4; i = r + 3; a = o + 2; j = t + 14; o = h + 4; r = 7; c = q + 15; d = i + 11; g = k + 16; t = a + 4. Given that r = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 6", "r": "s + 5", "a": "r + 16", "o": "a + 16", "y": "o + 12", "b": "y + 20", "p": "d + 20", "l": "p + 13", "h": "l + 18", "j": "h + 9", "n": "j + 14", "e": "n + 20", "d": 14}, "premises": {"d": 14}, "target": "b"}, "answer": {"steps": [["y", "o + 12", "o + 32"], ["o", "a + 16", "a + 48"], ["a", "r + 16", "r + 64"], ["r", "s + 5", "s + 69"], ["s", "d + 6", "d + 75"], ["d", 14, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"d": 14}, "is_reverse": true}} | 9,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = 14; e = n + 20; y = o + 12; o = a + 16; r = s + 5; n = j + 14; p = d + 20; a = r + 16; l = p + 13; h = l + 18; b = y + 20; s = d + 6; j = h + 9. If d = 14, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 12 to b, which gives b = o + 32.\n2. Substitute o = a + 16 to b, which gives b = a + 48.\n3. Substitute a = r + 16 to b, which gives b = r + 64.\n4. Substitute r = s + 5 to b, which gives b = s + 69.\n5. Substitute s = d + 6 to b, which gives b = d + 75.\n6. Substitute d = 14 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 9120,
"question": "Consider a system of variables where each variable is defined as follows: d = 14; e = n + 20; y = o + 12; o = a + 16; r = s + 5; n = j + 14; p = d + 20; a = r + 16; l = p + 13; h = l + 18; b = y + 20; s = d + 6; j = h + 9. If d = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 18", "d": "h + 12", "x": "d + 11", "f": "x + 19", "i": "f + 17", "t": "i + 9", "v": "p + 13", "a": "v + 16", "s": "a + 18", "b": "s + 3", "o": "b + 20", "u": "o + 8", "p": 4}, "premises": {"p": 4}, "target": "t"}, "answer": {"steps": [["i", "f + 17", "f + 26"], ["f", "x + 19", "x + 45"], ["x", "d + 11", "d + 56"], ["d", "h + 12", "h + 68"], ["h", "p + 18", "p + 86"], ["p", 4, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"p": 4}, "is_reverse": true}} | 9,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 17; b = s + 3; p = 4; o = b + 20; t = i + 9; a = v + 16; x = d + 11; v = p + 13; f = x + 19; d = h + 12; h = p + 18; s = a + 18; u = o + 8. If p = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 17 to t, which gives t = f + 26.\n2. Substitute f = x + 19 to t, which gives t = x + 45.\n3. Substitute x = d + 11 to t, which gives t = d + 56.\n4. Substitute d = h + 12 to t, which gives t = h + 68.\n5. Substitute h = p + 18 to t, which gives t = p + 86.\n6. Substitute p = 4 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 9121,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 17; b = s + 3; p = 4; o = b + 20; t = i + 9; a = v + 16; x = d + 11; v = p + 13; f = x + 19; d = h + 12; h = p + 18; s = a + 18; u = o + 8. If p = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 2", "b": "z + 13", "s": "b + 6", "i": "s + 17", "q": "i + 8", "r": "q + 12", "c": "u + 14", "m": "c + 10", "e": "m + 16", "f": "e + 18", "x": "f + 9", "j": "x + 8", "u": 20}, "premises": {"u": 20}, "target": "r"}, "answer": {"steps": [["q", "i + 8", "i + 20"], ["i", "s + 17", "s + 37"], ["s", "b + 6", "b + 43"], ["b", "z + 13", "z + 56"], ["z", "u + 2", "u + 58"], ["u", 20, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"u": 20}, "is_reverse": true}} | 9,122 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 8; e = m + 16; c = u + 14; m = c + 10; b = z + 13; x = f + 9; u = 20; f = e + 18; z = u + 2; i = s + 17; j = x + 8; s = b + 6; r = q + 12. If u = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 8 to r, which gives r = i + 20.\n2. Substitute i = s + 17 to r, which gives r = s + 37.\n3. Substitute s = b + 6 to r, which gives r = b + 43.\n4. Substitute b = z + 13 to r, which gives r = z + 56.\n5. Substitute z = u + 2 to r, which gives r = u + 58.\n6. Substitute u = 20 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 9122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 8; e = m + 16; c = u + 14; m = c + 10; b = z + 13; x = f + 9; u = 20; f = e + 18; z = u + 2; i = s + 17; j = x + 8; s = b + 6; r = q + 12. If u = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 19", "u": "c + 14", "s": "u + 15", "h": "s + 12", "f": "h + 3", "r": "f + 1", "i": "l + 2", "w": "i + 13", "b": "w + 2", "g": "b + 11", "t": "g + 14", "v": "t + 9", "l": 8}, "premises": {"l": 8}, "target": "r"}, "answer": {"steps": [["f", "h + 3", "h + 4"], ["h", "s + 12", "s + 16"], ["s", "u + 15", "u + 31"], ["u", "c + 14", "c + 45"], ["c", "l + 19", "l + 64"], ["l", 8, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"l": 8}, "is_reverse": true}} | 9,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 19; v = t + 9; t = g + 14; i = l + 2; u = c + 14; b = w + 2; g = b + 11; r = f + 1; h = s + 12; f = h + 3; l = 8; w = i + 13; s = u + 15. Given that l = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 3 to r, which gives r = h + 4.\n2. Substitute h = s + 12 to r, which gives r = s + 16.\n3. Substitute s = u + 15 to r, which gives r = u + 31.\n4. Substitute u = c + 14 to r, which gives r = c + 45.\n5. Substitute c = l + 19 to r, which gives r = l + 64.\n6. Substitute l = 8 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 9123,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 19; v = t + 9; t = g + 14; i = l + 2; u = c + 14; b = w + 2; g = b + 11; r = f + 1; h = s + 12; f = h + 3; l = 8; w = i + 13; s = u + 15. Given that l = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 15", "p": "z + 5", "d": "p + 17", "y": "d + 7", "n": "y + 16", "f": "n + 13", "s": "h + 1", "a": "s + 20", "k": "a + 2", "m": "k + 4", "j": "m + 15", "q": "j + 6", "h": 14}, "premises": {"h": 14}, "target": "f"}, "answer": {"steps": [["n", "y + 16", "y + 29"], ["y", "d + 7", "d + 36"], ["d", "p + 17", "p + 53"], ["p", "z + 5", "z + 58"], ["z", "h + 15", "h + 73"], ["h", 14, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"h": 14}, "is_reverse": true}} | 9,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 15; p = z + 5; k = a + 2; q = j + 6; a = s + 20; j = m + 15; f = n + 13; m = k + 4; y = d + 7; s = h + 1; d = p + 17; n = y + 16; h = 14. If h = 14, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 16 to f, which gives f = y + 29.\n2. Substitute y = d + 7 to f, which gives f = d + 36.\n3. Substitute d = p + 17 to f, which gives f = p + 53.\n4. Substitute p = z + 5 to f, which gives f = z + 58.\n5. Substitute z = h + 15 to f, which gives f = h + 73.\n6. Substitute h = 14 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 9124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 15; p = z + 5; k = a + 2; q = j + 6; a = s + 20; j = m + 15; f = n + 13; m = k + 4; y = d + 7; s = h + 1; d = p + 17; n = y + 16; h = 14. If h = 14, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 20", "x": "j + 4", "l": "x + 18", "e": "l + 4", "y": "e + 17", "b": "y + 9", "w": "h + 2", "s": "w + 1", "r": "s + 3", "n": "r + 15", "i": "n + 19", "t": "i + 17", "h": 10}, "premises": {"h": 10}, "target": "b"}, "answer": {"steps": [["y", "e + 17", "e + 26"], ["e", "l + 4", "l + 30"], ["l", "x + 18", "x + 48"], ["x", "j + 4", "j + 52"], ["j", "h + 20", "h + 72"], ["h", 10, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"h": 10}, "is_reverse": true}} | 9,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 3; n = r + 15; b = y + 9; t = i + 17; i = n + 19; e = l + 4; w = h + 2; y = e + 17; s = w + 1; h = 10; x = j + 4; l = x + 18; j = h + 20. Given that h = 10, 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 y = e + 17 to b, which gives b = e + 26.\n2. Substitute e = l + 4 to b, which gives b = l + 30.\n3. Substitute l = x + 18 to b, which gives b = x + 48.\n4. Substitute x = j + 4 to b, which gives b = j + 52.\n5. Substitute j = h + 20 to b, which gives b = h + 72.\n6. Substitute h = 10 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 9125,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 3; n = r + 15; b = y + 9; t = i + 17; i = n + 19; e = l + 4; w = h + 2; y = e + 17; s = w + 1; h = 10; x = j + 4; l = x + 18; j = h + 20. Given that h = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 13", "s": "x + 11", "a": "s + 10", "e": "a + 16", "o": "e + 7", "l": "o + 3", "b": "d + 16", "k": "b + 15", "f": "k + 10", "r": "f + 7", "j": "r + 15", "z": "j + 14", "d": 6}, "premises": {"d": 6}, "target": "l"}, "answer": {"steps": [["o", "e + 7", "e + 10"], ["e", "a + 16", "a + 26"], ["a", "s + 10", "s + 36"], ["s", "x + 11", "x + 47"], ["x", "d + 13", "d + 60"], ["d", 6, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"d": 6}, "is_reverse": true}} | 9,126 | 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 = a + 16; a = s + 10; j = r + 15; o = e + 7; r = f + 7; x = d + 13; f = k + 10; b = d + 16; l = o + 3; k = b + 15; d = 6; s = x + 11; z = j + 14. If d = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 7 to l, which gives l = e + 10.\n2. Substitute e = a + 16 to l, which gives l = a + 26.\n3. Substitute a = s + 10 to l, which gives l = s + 36.\n4. Substitute s = x + 11 to l, which gives l = x + 47.\n5. Substitute x = d + 13 to l, which gives l = d + 60.\n6. Substitute d = 6 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 9126,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 16; a = s + 10; j = r + 15; o = e + 7; r = f + 7; x = d + 13; f = k + 10; b = d + 16; l = o + 3; k = b + 15; d = 6; s = x + 11; z = j + 14. If d = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 6", "j": "v + 18", "l": "j + 9", "u": "l + 4", "x": "u + 6", "i": "x + 16", "p": "q + 20", "o": "p + 2", "k": "o + 18", "n": "k + 16", "g": "n + 15", "e": "g + 2", "q": 9}, "premises": {"q": 9}, "target": "i"}, "answer": {"steps": [["x", "u + 6", "u + 22"], ["u", "l + 4", "l + 26"], ["l", "j + 9", "j + 35"], ["j", "v + 18", "v + 53"], ["v", "q + 6", "q + 59"], ["q", 9, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"q": 9}, "is_reverse": true}} | 9,127 | 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 = o + 18; q = 9; n = k + 16; u = l + 4; g = n + 15; i = x + 16; o = p + 2; x = u + 6; e = g + 2; p = q + 20; j = v + 18; v = q + 6; l = j + 9. If q = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 6 to i, which gives i = u + 22.\n2. Substitute u = l + 4 to i, which gives i = l + 26.\n3. Substitute l = j + 9 to i, which gives i = j + 35.\n4. Substitute j = v + 18 to i, which gives i = v + 53.\n5. Substitute v = q + 6 to i, which gives i = q + 59.\n6. Substitute q = 9 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 9127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 18; q = 9; n = k + 16; u = l + 4; g = n + 15; i = x + 16; o = p + 2; x = u + 6; e = g + 2; p = q + 20; j = v + 18; v = q + 6; l = j + 9. If q = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 8", "z": "r + 10", "k": "z + 11", "e": "k + 19", "j": "e + 1", "y": "j + 2", "w": "s + 14", "b": "w + 3", "f": "b + 13", "l": "f + 14", "h": "l + 10", "a": "h + 19", "s": 19}, "premises": {"s": 19}, "target": "y"}, "answer": {"steps": [["j", "e + 1", "e + 3"], ["e", "k + 19", "k + 22"], ["k", "z + 11", "z + 33"], ["z", "r + 10", "r + 43"], ["r", "s + 8", "s + 51"], ["s", 19, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"s": 19}, "is_reverse": true}} | 9,128 | 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 = k + 19; z = r + 10; j = e + 1; f = b + 13; l = f + 14; b = w + 3; s = 19; w = s + 14; a = h + 19; r = s + 8; k = z + 11; y = j + 2; h = l + 10. If s = 19, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 1 to y, which gives y = e + 3.\n2. Substitute e = k + 19 to y, which gives y = k + 22.\n3. Substitute k = z + 11 to y, which gives y = z + 33.\n4. Substitute z = r + 10 to y, which gives y = r + 43.\n5. Substitute r = s + 8 to y, which gives y = s + 51.\n6. Substitute s = 19 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 9128,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 19; z = r + 10; j = e + 1; f = b + 13; l = f + 14; b = w + 3; s = 19; w = s + 14; a = h + 19; r = s + 8; k = z + 11; y = j + 2; h = l + 10. If s = 19, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 19", "h": "f + 4", "j": "h + 16", "s": "j + 14", "m": "s + 10", "o": "m + 4", "x": "t + 16", "n": "x + 13", "y": "n + 15", "b": "y + 5", "q": "b + 12", "l": "q + 16", "t": 14}, "premises": {"t": 14}, "target": "o"}, "answer": {"steps": [["m", "s + 10", "s + 14"], ["s", "j + 14", "j + 28"], ["j", "h + 16", "h + 44"], ["h", "f + 4", "f + 48"], ["f", "t + 19", "t + 67"], ["t", 14, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"t": 14}, "is_reverse": true}} | 9,129 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 14; y = n + 15; f = t + 19; h = f + 4; s = j + 14; n = x + 13; x = t + 16; q = b + 12; b = y + 5; l = q + 16; o = m + 4; j = h + 16; m = s + 10. Given that t = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 10 to o, which gives o = s + 14.\n2. Substitute s = j + 14 to o, which gives o = j + 28.\n3. Substitute j = h + 16 to o, which gives o = h + 44.\n4. Substitute h = f + 4 to o, which gives o = f + 48.\n5. Substitute f = t + 19 to o, which gives o = t + 67.\n6. Substitute t = 14 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 9129,
"question": "Suppose a collection of variables is related by the following definitions: t = 14; y = n + 15; f = t + 19; h = f + 4; s = j + 14; n = x + 13; x = t + 16; q = b + 12; b = y + 5; l = q + 16; o = m + 4; j = h + 16; m = s + 10. Given that t = 14, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 13", "r": "q + 11", "s": "r + 15", "j": "s + 11", "c": "j + 4", "y": "c + 12", "m": "w + 20", "x": "m + 8", "f": "x + 13", "d": "f + 9", "g": "d + 10", "o": "g + 16", "w": 9}, "premises": {"w": 9}, "target": "y"}, "answer": {"steps": [["c", "j + 4", "j + 16"], ["j", "s + 11", "s + 27"], ["s", "r + 15", "r + 42"], ["r", "q + 11", "q + 53"], ["q", "w + 13", "w + 66"], ["w", 9, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"w": 9}, "is_reverse": true}} | 9,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = s + 11; w = 9; x = m + 8; f = x + 13; s = r + 15; q = w + 13; g = d + 10; o = g + 16; d = f + 9; y = c + 12; r = q + 11; c = j + 4; m = w + 20. If w = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 4 to y, which gives y = j + 16.\n2. Substitute j = s + 11 to y, which gives y = s + 27.\n3. Substitute s = r + 15 to y, which gives y = r + 42.\n4. Substitute r = q + 11 to y, which gives y = q + 53.\n5. Substitute q = w + 13 to y, which gives y = w + 66.\n6. Substitute w = 9 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 9130,
"question": "Consider a system of variables where each variable is defined as follows: j = s + 11; w = 9; x = m + 8; f = x + 13; s = r + 15; q = w + 13; g = d + 10; o = g + 16; d = f + 9; y = c + 12; r = q + 11; c = j + 4; m = w + 20. If w = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 16", "e": "o + 19", "z": "e + 8", "l": "z + 6", "h": "l + 5", "i": "h + 14", "y": "c + 10", "d": "y + 6", "x": "d + 20", "q": "x + 5", "k": "q + 11", "s": "k + 5", "c": 9}, "premises": {"c": 9}, "target": "i"}, "answer": {"steps": [["h", "l + 5", "l + 19"], ["l", "z + 6", "z + 25"], ["z", "e + 8", "e + 33"], ["e", "o + 19", "o + 52"], ["o", "c + 16", "c + 68"], ["c", 9, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"c": 9}, "is_reverse": true}} | 9,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 6; e = o + 19; x = d + 20; h = l + 5; q = x + 5; c = 9; s = k + 5; z = e + 8; k = q + 11; i = h + 14; d = y + 6; o = c + 16; y = c + 10. Given that c = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 5 to i, which gives i = l + 19.\n2. Substitute l = z + 6 to i, which gives i = z + 25.\n3. Substitute z = e + 8 to i, which gives i = e + 33.\n4. Substitute e = o + 19 to i, which gives i = o + 52.\n5. Substitute o = c + 16 to i, which gives i = c + 68.\n6. Substitute c = 9 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 9131,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 6; e = o + 19; x = d + 20; h = l + 5; q = x + 5; c = 9; s = k + 5; z = e + 8; k = q + 11; i = h + 14; d = y + 6; o = c + 16; y = c + 10. Given that c = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 5", "u": "f + 19", "v": "u + 9", "e": "v + 13", "y": "e + 18", "z": "y + 10", "x": "h + 16", "a": "x + 12", "i": "a + 5", "p": "i + 11", "c": "p + 4", "b": "c + 19", "h": 14}, "premises": {"h": 14}, "target": "z"}, "answer": {"steps": [["y", "e + 18", "e + 28"], ["e", "v + 13", "v + 41"], ["v", "u + 9", "u + 50"], ["u", "f + 19", "f + 69"], ["f", "h + 5", "h + 74"], ["h", 14, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"h": 14}, "is_reverse": true}} | 9,132 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 19; i = a + 5; a = x + 12; b = c + 19; e = v + 13; x = h + 16; f = h + 5; p = i + 11; v = u + 9; h = 14; z = y + 10; c = p + 4; y = e + 18. Given that h = 14, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 18 to z, which gives z = e + 28.\n2. Substitute e = v + 13 to z, which gives z = v + 41.\n3. Substitute v = u + 9 to z, which gives z = u + 50.\n4. Substitute u = f + 19 to z, which gives z = f + 69.\n5. Substitute f = h + 5 to z, which gives z = h + 74.\n6. Substitute h = 14 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 9132,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 19; i = a + 5; a = x + 12; b = c + 19; e = v + 13; x = h + 16; f = h + 5; p = i + 11; v = u + 9; h = 14; z = y + 10; c = p + 4; y = e + 18. Given that h = 14, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 20", "j": "a + 15", "w": "j + 11", "z": "w + 3", "e": "z + 20", "c": "e + 13", "t": "r + 2", "p": "t + 19", "x": "p + 18", "v": "x + 12", "i": "v + 16", "q": "i + 4", "r": 2}, "premises": {"r": 2}, "target": "c"}, "answer": {"steps": [["e", "z + 20", "z + 33"], ["z", "w + 3", "w + 36"], ["w", "j + 11", "j + 47"], ["j", "a + 15", "a + 62"], ["a", "r + 20", "r + 82"], ["r", 2, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"r": 2}, "is_reverse": true}} | 9,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 4; r = 2; i = v + 16; x = p + 18; c = e + 13; v = x + 12; w = j + 11; z = w + 3; a = r + 20; j = a + 15; t = r + 2; p = t + 19; e = z + 20. Given that r = 2, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 20 to c, which gives c = z + 33.\n2. Substitute z = w + 3 to c, which gives c = w + 36.\n3. Substitute w = j + 11 to c, which gives c = j + 47.\n4. Substitute j = a + 15 to c, which gives c = a + 62.\n5. Substitute a = r + 20 to c, which gives c = r + 82.\n6. Substitute r = 2 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 9133,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 4; r = 2; i = v + 16; x = p + 18; c = e + 13; v = x + 12; w = j + 11; z = w + 3; a = r + 20; j = a + 15; t = r + 2; p = t + 19; e = z + 20. Given that r = 2, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 17", "d": "r + 14", "l": "d + 8", "e": "l + 2", "v": "e + 6", "n": "v + 2", "o": "a + 18", "w": "o + 13", "b": "w + 13", "z": "b + 4", "g": "z + 10", "c": "g + 11", "a": 5}, "premises": {"a": 5}, "target": "n"}, "answer": {"steps": [["v", "e + 6", "e + 8"], ["e", "l + 2", "l + 10"], ["l", "d + 8", "d + 18"], ["d", "r + 14", "r + 32"], ["r", "a + 17", "a + 49"], ["a", 5, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"a": 5}, "is_reverse": true}} | 9,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 13; z = b + 4; c = g + 11; n = v + 2; o = a + 18; g = z + 10; d = r + 14; e = l + 2; b = w + 13; a = 5; v = e + 6; l = d + 8; r = a + 17. If a = 5, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 6 to n, which gives n = e + 8.\n2. Substitute e = l + 2 to n, which gives n = l + 10.\n3. Substitute l = d + 8 to n, which gives n = d + 18.\n4. Substitute d = r + 14 to n, which gives n = r + 32.\n5. Substitute r = a + 17 to n, which gives n = a + 49.\n6. Substitute a = 5 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 9134,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 13; z = b + 4; c = g + 11; n = v + 2; o = a + 18; g = z + 10; d = r + 14; e = l + 2; b = w + 13; a = 5; v = e + 6; l = d + 8; r = a + 17. If a = 5, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 2", "n": "o + 3", "y": "n + 17", "c": "y + 13", "q": "c + 13", "z": "q + 8", "a": "h + 6", "k": "a + 16", "j": "k + 10", "w": "j + 4", "l": "w + 10", "v": "l + 18", "h": 9}, "premises": {"h": 9}, "target": "z"}, "answer": {"steps": [["q", "c + 13", "c + 21"], ["c", "y + 13", "y + 34"], ["y", "n + 17", "n + 51"], ["n", "o + 3", "o + 54"], ["o", "h + 2", "h + 56"], ["h", 9, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"h": 9}, "is_reverse": true}} | 9,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = o + 3; q = c + 13; y = n + 17; k = a + 16; j = k + 10; v = l + 18; o = h + 2; c = y + 13; h = 9; a = h + 6; w = j + 4; z = q + 8; l = w + 10. If h = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 13 to z, which gives z = c + 21.\n2. Substitute c = y + 13 to z, which gives z = y + 34.\n3. Substitute y = n + 17 to z, which gives z = n + 51.\n4. Substitute n = o + 3 to z, which gives z = o + 54.\n5. Substitute o = h + 2 to z, which gives z = h + 56.\n6. Substitute h = 9 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 9135,
"question": "Consider a system of variables where each variable is defined as follows: n = o + 3; q = c + 13; y = n + 17; k = a + 16; j = k + 10; v = l + 18; o = h + 2; c = y + 13; h = 9; a = h + 6; w = j + 4; z = q + 8; l = w + 10. If h = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 13", "r": "q + 12", "l": "r + 20", "s": "l + 11", "y": "s + 19", "d": "y + 12", "c": "v + 20", "j": "c + 9", "f": "j + 13", "p": "f + 18", "x": "p + 9", "m": "x + 13", "v": 3}, "premises": {"v": 3}, "target": "d"}, "answer": {"steps": [["y", "s + 19", "s + 31"], ["s", "l + 11", "l + 42"], ["l", "r + 20", "r + 62"], ["r", "q + 12", "q + 74"], ["q", "v + 13", "v + 87"], ["v", 3, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"v": 3}, "is_reverse": true}} | 9,136 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 12; x = p + 9; m = x + 13; v = 3; r = q + 12; l = r + 20; q = v + 13; s = l + 11; f = j + 13; j = c + 9; c = v + 20; y = s + 19; p = f + 18. Given that v = 3, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 19 to d, which gives d = s + 31.\n2. Substitute s = l + 11 to d, which gives d = l + 42.\n3. Substitute l = r + 20 to d, which gives d = r + 62.\n4. Substitute r = q + 12 to d, which gives d = q + 74.\n5. Substitute q = v + 13 to d, which gives d = v + 87.\n6. Substitute v = 3 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 9136,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 12; x = p + 9; m = x + 13; v = 3; r = q + 12; l = r + 20; q = v + 13; s = l + 11; f = j + 13; j = c + 9; c = v + 20; y = s + 19; p = f + 18. Given that v = 3, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 20", "q": "r + 5", "x": "q + 9", "t": "x + 7", "g": "t + 9", "j": "g + 2", "u": "s + 6", "w": "u + 19", "p": "w + 6", "k": "p + 17", "n": "k + 19", "f": "n + 6", "s": 17}, "premises": {"s": 17}, "target": "j"}, "answer": {"steps": [["g", "t + 9", "t + 11"], ["t", "x + 7", "x + 18"], ["x", "q + 9", "q + 27"], ["q", "r + 5", "r + 32"], ["r", "s + 20", "s + 52"], ["s", 17, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"s": 17}, "is_reverse": true}} | 9,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 6; k = p + 17; t = x + 7; j = g + 2; x = q + 9; g = t + 9; s = 17; n = k + 19; q = r + 5; u = s + 6; f = n + 6; r = s + 20; w = u + 19. If s = 17, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 9 to j, which gives j = t + 11.\n2. Substitute t = x + 7 to j, which gives j = x + 18.\n3. Substitute x = q + 9 to j, which gives j = q + 27.\n4. Substitute q = r + 5 to j, which gives j = r + 32.\n5. Substitute r = s + 20 to j, which gives j = s + 52.\n6. Substitute s = 17 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 9137,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 6; k = p + 17; t = x + 7; j = g + 2; x = q + 9; g = t + 9; s = 17; n = k + 19; q = r + 5; u = s + 6; f = n + 6; r = s + 20; w = u + 19. If s = 17, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 19", "o": "r + 10", "b": "o + 11", "p": "b + 1", "f": "p + 14", "d": "f + 13", "k": "l + 7", "v": "k + 11", "t": "v + 17", "c": "t + 4", "z": "c + 1", "u": "z + 16", "l": 9}, "premises": {"l": 9}, "target": "d"}, "answer": {"steps": [["f", "p + 14", "p + 27"], ["p", "b + 1", "b + 28"], ["b", "o + 11", "o + 39"], ["o", "r + 10", "r + 49"], ["r", "l + 19", "l + 68"], ["l", 9, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"l": 9}, "is_reverse": true}} | 9,138 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 14; t = v + 17; p = b + 1; v = k + 11; c = t + 4; z = c + 1; l = 9; o = r + 10; b = o + 11; r = l + 19; d = f + 13; u = z + 16; k = l + 7. If l = 9, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 14 to d, which gives d = p + 27.\n2. Substitute p = b + 1 to d, which gives d = b + 28.\n3. Substitute b = o + 11 to d, which gives d = o + 39.\n4. Substitute o = r + 10 to d, which gives d = r + 49.\n5. Substitute r = l + 19 to d, which gives d = l + 68.\n6. Substitute l = 9 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 9138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 14; t = v + 17; p = b + 1; v = k + 11; c = t + 4; z = c + 1; l = 9; o = r + 10; b = o + 11; r = l + 19; d = f + 13; u = z + 16; k = l + 7. If l = 9, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 3", "k": "z + 12", "w": "k + 14", "g": "w + 15", "v": "g + 14", "o": "v + 18", "u": "n + 8", "j": "u + 10", "e": "j + 7", "h": "e + 2", "a": "h + 6", "r": "a + 19", "n": 13}, "premises": {"n": 13}, "target": "o"}, "answer": {"steps": [["v", "g + 14", "g + 32"], ["g", "w + 15", "w + 47"], ["w", "k + 14", "k + 61"], ["k", "z + 12", "z + 73"], ["z", "n + 3", "n + 76"], ["n", 13, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"n": 13}, "is_reverse": true}} | 9,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = h + 6; n = 13; e = j + 7; v = g + 14; k = z + 12; j = u + 10; z = n + 3; g = w + 15; h = e + 2; w = k + 14; o = v + 18; r = a + 19; u = n + 8. Given that n = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 14 to o, which gives o = g + 32.\n2. Substitute g = w + 15 to o, which gives o = w + 47.\n3. Substitute w = k + 14 to o, which gives o = k + 61.\n4. Substitute k = z + 12 to o, which gives o = z + 73.\n5. Substitute z = n + 3 to o, which gives o = n + 76.\n6. Substitute n = 13 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 9139,
"question": "Suppose a collection of variables is related by the following definitions: a = h + 6; n = 13; e = j + 7; v = g + 14; k = z + 12; j = u + 10; z = n + 3; g = w + 15; h = e + 2; w = k + 14; o = v + 18; r = a + 19; u = n + 8. Given that n = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 14", "f": "q + 15", "c": "f + 6", "o": "c + 17", "t": "o + 20", "v": "t + 2", "y": "a + 7", "u": "y + 17", "w": "u + 15", "j": "w + 3", "h": "j + 14", "l": "h + 6", "a": 9}, "premises": {"a": 9}, "target": "v"}, "answer": {"steps": [["t", "o + 20", "o + 22"], ["o", "c + 17", "c + 39"], ["c", "f + 6", "f + 45"], ["f", "q + 15", "q + 60"], ["q", "a + 14", "a + 74"], ["a", 9, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"a": 9}, "is_reverse": true}} | 9,140 | 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 = w + 3; q = a + 14; w = u + 15; a = 9; y = a + 7; v = t + 2; l = h + 6; t = o + 20; h = j + 14; o = c + 17; f = q + 15; c = f + 6; u = y + 17. If a = 9, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 20 to v, which gives v = o + 22.\n2. Substitute o = c + 17 to v, which gives v = c + 39.\n3. Substitute c = f + 6 to v, which gives v = f + 45.\n4. Substitute f = q + 15 to v, which gives v = q + 60.\n5. Substitute q = a + 14 to v, which gives v = a + 74.\n6. Substitute a = 9 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 9140,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 3; q = a + 14; w = u + 15; a = 9; y = a + 7; v = t + 2; l = h + 6; t = o + 20; h = j + 14; o = c + 17; f = q + 15; c = f + 6; u = y + 17. If a = 9, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 3", "x": "m + 17", "s": "x + 15", "b": "s + 11", "l": "b + 14", "z": "l + 10", "h": "v + 6", "c": "h + 6", "q": "c + 18", "o": "q + 20", "u": "o + 6", "f": "u + 19", "v": 20}, "premises": {"v": 20}, "target": "z"}, "answer": {"steps": [["l", "b + 14", "b + 24"], ["b", "s + 11", "s + 35"], ["s", "x + 15", "x + 50"], ["x", "m + 17", "m + 67"], ["m", "v + 3", "v + 70"], ["v", 20, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"v": 20}, "is_reverse": true}} | 9,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 6; q = c + 18; l = b + 14; u = o + 6; s = x + 15; m = v + 3; z = l + 10; h = v + 6; b = s + 11; o = q + 20; v = 20; f = u + 19; x = m + 17. If v = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 14 to z, which gives z = b + 24.\n2. Substitute b = s + 11 to z, which gives z = s + 35.\n3. Substitute s = x + 15 to z, which gives z = x + 50.\n4. Substitute x = m + 17 to z, which gives z = m + 67.\n5. Substitute m = v + 3 to z, which gives z = v + 70.\n6. Substitute v = 20 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 9141,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 6; q = c + 18; l = b + 14; u = o + 6; s = x + 15; m = v + 3; z = l + 10; h = v + 6; b = s + 11; o = q + 20; v = 20; f = u + 19; x = m + 17. If v = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 2", "z": "o + 4", "n": "z + 15", "m": "n + 20", "e": "m + 18", "f": "e + 4", "k": "g + 2", "b": "k + 1", "r": "b + 10", "l": "r + 15", "w": "l + 7", "t": "w + 13", "g": 1}, "premises": {"g": 1}, "target": "f"}, "answer": {"steps": [["e", "m + 18", "m + 22"], ["m", "n + 20", "n + 42"], ["n", "z + 15", "z + 57"], ["z", "o + 4", "o + 61"], ["o", "g + 2", "g + 63"], ["g", 1, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"g": 1}, "is_reverse": true}} | 9,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 2; b = k + 1; t = w + 13; g = 1; l = r + 15; r = b + 10; o = g + 2; f = e + 4; m = n + 20; n = z + 15; w = l + 7; z = o + 4; e = m + 18. If g = 1, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 18 to f, which gives f = m + 22.\n2. Substitute m = n + 20 to f, which gives f = n + 42.\n3. Substitute n = z + 15 to f, which gives f = z + 57.\n4. Substitute z = o + 4 to f, which gives f = o + 61.\n5. Substitute o = g + 2 to f, which gives f = g + 63.\n6. Substitute g = 1 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 9142,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 2; b = k + 1; t = w + 13; g = 1; l = r + 15; r = b + 10; o = g + 2; f = e + 4; m = n + 20; n = z + 15; w = l + 7; z = o + 4; e = m + 18. If g = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 2", "h": "f + 8", "z": "h + 15", "v": "z + 2", "t": "v + 1", "m": "t + 8", "l": "r + 11", "w": "l + 9", "o": "w + 4", "c": "o + 8", "p": "c + 8", "s": "p + 8", "r": 5}, "premises": {"r": 5}, "target": "m"}, "answer": {"steps": [["t", "v + 1", "v + 9"], ["v", "z + 2", "z + 11"], ["z", "h + 15", "h + 26"], ["h", "f + 8", "f + 34"], ["f", "r + 2", "r + 36"], ["r", 5, "41"]], "target_var_name": "m", "target_value": 41, "value_dict": {"r": 5}, "is_reverse": true}} | 9,143 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 8; t = v + 1; z = h + 15; f = r + 2; p = c + 8; c = o + 8; v = z + 2; l = r + 11; m = t + 8; o = w + 4; s = p + 8; w = l + 9; r = 5. If r = 5, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 1 to m, which gives m = v + 9.\n2. Substitute v = z + 2 to m, which gives m = z + 11.\n3. Substitute z = h + 15 to m, which gives m = h + 26.\n4. Substitute h = f + 8 to m, which gives m = f + 34.\n5. Substitute f = r + 2 to m, which gives m = r + 36.\n6. Substitute r = 5 to m, which gives m = 41.\n\nThus, the final answer is m = \\boxed{41}.",
"index": 9143,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 8; t = v + 1; z = h + 15; f = r + 2; p = c + 8; c = o + 8; v = z + 2; l = r + 11; m = t + 8; o = w + 4; s = p + 8; w = l + 9; r = 5. If r = 5, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 9", "g": "e + 1", "h": "g + 14", "k": "h + 3", "s": "k + 14", "t": "s + 7", "r": "l + 10", "m": "r + 5", "x": "m + 2", "i": "x + 6", "b": "i + 6", "j": "b + 6", "l": 7}, "premises": {"l": 7}, "target": "t"}, "answer": {"steps": [["s", "k + 14", "k + 21"], ["k", "h + 3", "h + 24"], ["h", "g + 14", "g + 38"], ["g", "e + 1", "e + 39"], ["e", "l + 9", "l + 48"], ["l", 7, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"l": 7}, "is_reverse": true}} | 9,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 6; m = r + 5; e = l + 9; g = e + 1; r = l + 10; l = 7; h = g + 14; b = i + 6; x = m + 2; k = h + 3; t = s + 7; i = x + 6; s = k + 14. If l = 7, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 14 to t, which gives t = k + 21.\n2. Substitute k = h + 3 to t, which gives t = h + 24.\n3. Substitute h = g + 14 to t, which gives t = g + 38.\n4. Substitute g = e + 1 to t, which gives t = e + 39.\n5. Substitute e = l + 9 to t, which gives t = l + 48.\n6. Substitute l = 7 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 9144,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 6; m = r + 5; e = l + 9; g = e + 1; r = l + 10; l = 7; h = g + 14; b = i + 6; x = m + 2; k = h + 3; t = s + 7; i = x + 6; s = k + 14. If l = 7, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 13", "f": "l + 3", "a": "f + 15", "h": "a + 11", "w": "h + 11", "d": "w + 13", "s": "t + 19", "g": "s + 6", "y": "g + 9", "i": "y + 18", "p": "i + 14", "z": "p + 16", "t": 5}, "premises": {"t": 5}, "target": "d"}, "answer": {"steps": [["w", "h + 11", "h + 24"], ["h", "a + 11", "a + 35"], ["a", "f + 15", "f + 50"], ["f", "l + 3", "l + 53"], ["l", "t + 13", "t + 66"], ["t", 5, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"t": 5}, "is_reverse": true}} | 9,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = s + 6; z = p + 16; d = w + 13; y = g + 9; s = t + 19; w = h + 11; i = y + 18; p = i + 14; f = l + 3; a = f + 15; t = 5; l = t + 13; h = a + 11. Given that t = 5, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 11 to d, which gives d = h + 24.\n2. Substitute h = a + 11 to d, which gives d = a + 35.\n3. Substitute a = f + 15 to d, which gives d = f + 50.\n4. Substitute f = l + 3 to d, which gives d = l + 53.\n5. Substitute l = t + 13 to d, which gives d = t + 66.\n6. Substitute t = 5 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 9145,
"question": "Suppose a collection of variables is related by the following definitions: g = s + 6; z = p + 16; d = w + 13; y = g + 9; s = t + 19; w = h + 11; i = y + 18; p = i + 14; f = l + 3; a = f + 15; t = 5; l = t + 13; h = a + 11. Given that t = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 18", "t": "c + 20", "k": "t + 18", "s": "k + 19", "u": "s + 3", "x": "u + 11", "g": "p + 10", "q": "g + 14", "y": "q + 3", "w": "y + 6", "j": "w + 20", "d": "j + 13", "p": 10}, "premises": {"p": 10}, "target": "x"}, "answer": {"steps": [["u", "s + 3", "s + 14"], ["s", "k + 19", "k + 33"], ["k", "t + 18", "t + 51"], ["t", "c + 20", "c + 71"], ["c", "p + 18", "p + 89"], ["p", 10, "99"]], "target_var_name": "x", "target_value": 99, "value_dict": {"p": 10}, "is_reverse": true}} | 9,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 10; y = q + 3; j = w + 20; d = j + 13; s = k + 19; w = y + 6; u = s + 3; x = u + 11; t = c + 20; g = p + 10; k = t + 18; c = p + 18; q = g + 14. If p = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 3 to x, which gives x = s + 14.\n2. Substitute s = k + 19 to x, which gives x = k + 33.\n3. Substitute k = t + 18 to x, which gives x = t + 51.\n4. Substitute t = c + 20 to x, which gives x = c + 71.\n5. Substitute c = p + 18 to x, which gives x = p + 89.\n6. Substitute p = 10 to x, which gives x = 99.\n\nThus, the final answer is x = \\boxed{99}.",
"index": 9146,
"question": "Consider a system of variables where each variable is defined as follows: p = 10; y = q + 3; j = w + 20; d = j + 13; s = k + 19; w = y + 6; u = s + 3; x = u + 11; t = c + 20; g = p + 10; k = t + 18; c = p + 18; q = g + 14. If p = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 18", "b": "s + 5", "q": "b + 13", "x": "q + 1", "g": "x + 17", "f": "g + 6", "j": "w + 20", "l": "j + 13", "p": "l + 19", "k": "p + 19", "o": "k + 7", "a": "o + 12", "w": 4}, "premises": {"w": 4}, "target": "f"}, "answer": {"steps": [["g", "x + 17", "x + 23"], ["x", "q + 1", "q + 24"], ["q", "b + 13", "b + 37"], ["b", "s + 5", "s + 42"], ["s", "w + 18", "w + 60"], ["w", 4, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"w": 4}, "is_reverse": true}} | 9,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 6; p = l + 19; s = w + 18; k = p + 19; q = b + 13; l = j + 13; b = s + 5; g = x + 17; j = w + 20; x = q + 1; o = k + 7; a = o + 12; w = 4. If w = 4, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 17 to f, which gives f = x + 23.\n2. Substitute x = q + 1 to f, which gives f = q + 24.\n3. Substitute q = b + 13 to f, which gives f = b + 37.\n4. Substitute b = s + 5 to f, which gives f = s + 42.\n5. Substitute s = w + 18 to f, which gives f = w + 60.\n6. Substitute w = 4 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 9147,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 6; p = l + 19; s = w + 18; k = p + 19; q = b + 13; l = j + 13; b = s + 5; g = x + 17; j = w + 20; x = q + 1; o = k + 7; a = o + 12; w = 4. If w = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 10", "l": "a + 15", "k": "l + 11", "t": "k + 1", "g": "t + 1", "o": "g + 18", "b": "m + 6", "j": "b + 9", "q": "j + 11", "u": "q + 20", "h": "u + 6", "y": "h + 16", "m": 2}, "premises": {"m": 2}, "target": "o"}, "answer": {"steps": [["g", "t + 1", "t + 19"], ["t", "k + 1", "k + 20"], ["k", "l + 11", "l + 31"], ["l", "a + 15", "a + 46"], ["a", "m + 10", "m + 56"], ["m", 2, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"m": 2}, "is_reverse": true}} | 9,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 16; k = l + 11; o = g + 18; u = q + 20; m = 2; b = m + 6; j = b + 9; q = j + 11; a = m + 10; h = u + 6; g = t + 1; t = k + 1; l = a + 15. If m = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 1 to o, which gives o = t + 19.\n2. Substitute t = k + 1 to o, which gives o = k + 20.\n3. Substitute k = l + 11 to o, which gives o = l + 31.\n4. Substitute l = a + 15 to o, which gives o = a + 46.\n5. Substitute a = m + 10 to o, which gives o = m + 56.\n6. Substitute m = 2 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 9148,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 16; k = l + 11; o = g + 18; u = q + 20; m = 2; b = m + 6; j = b + 9; q = j + 11; a = m + 10; h = u + 6; g = t + 1; t = k + 1; l = a + 15. If m = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 14", "x": "e + 5", "o": "x + 17", "w": "o + 12", "c": "w + 11", "d": "c + 18", "g": "i + 4", "f": "g + 14", "k": "f + 19", "t": "k + 13", "u": "t + 14", "v": "u + 10", "i": 19}, "premises": {"i": 19}, "target": "d"}, "answer": {"steps": [["c", "w + 11", "w + 29"], ["w", "o + 12", "o + 41"], ["o", "x + 17", "x + 58"], ["x", "e + 5", "e + 63"], ["e", "i + 14", "i + 77"], ["i", 19, "96"]], "target_var_name": "d", "target_value": 96, "value_dict": {"i": 19}, "is_reverse": true}} | 9,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = x + 17; d = c + 18; g = i + 4; e = i + 14; c = w + 11; i = 19; t = k + 13; f = g + 14; k = f + 19; w = o + 12; u = t + 14; x = e + 5; v = u + 10. If i = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 11 to d, which gives d = w + 29.\n2. Substitute w = o + 12 to d, which gives d = o + 41.\n3. Substitute o = x + 17 to d, which gives d = x + 58.\n4. Substitute x = e + 5 to d, which gives d = e + 63.\n5. Substitute e = i + 14 to d, which gives d = i + 77.\n6. Substitute i = 19 to d, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 9149,
"question": "Consider a system of variables where each variable is defined as follows: o = x + 17; d = c + 18; g = i + 4; e = i + 14; c = w + 11; i = 19; t = k + 13; f = g + 14; k = f + 19; w = o + 12; u = t + 14; x = e + 5; v = u + 10. If i = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 11", "u": "o + 3", "z": "u + 20", "w": "z + 15", "q": "w + 5", "e": "q + 14", "n": "i + 8", "m": "n + 19", "t": "m + 13", "a": "t + 16", "h": "a + 9", "s": "h + 8", "i": 3}, "premises": {"i": 3}, "target": "e"}, "answer": {"steps": [["q", "w + 5", "w + 19"], ["w", "z + 15", "z + 34"], ["z", "u + 20", "u + 54"], ["u", "o + 3", "o + 57"], ["o", "i + 11", "i + 68"], ["i", 3, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"i": 3}, "is_reverse": true}} | 9,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = t + 16; m = n + 19; w = z + 15; u = o + 3; n = i + 8; s = h + 8; t = m + 13; z = u + 20; i = 3; h = a + 9; q = w + 5; e = q + 14; o = i + 11. If i = 3, determine the 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 q = w + 5 to e, which gives e = w + 19.\n2. Substitute w = z + 15 to e, which gives e = z + 34.\n3. Substitute z = u + 20 to e, which gives e = u + 54.\n4. Substitute u = o + 3 to e, which gives e = o + 57.\n5. Substitute o = i + 11 to e, which gives e = i + 68.\n6. Substitute i = 3 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 9150,
"question": "Consider a system of variables where each variable is defined as follows: a = t + 16; m = n + 19; w = z + 15; u = o + 3; n = i + 8; s = h + 8; t = m + 13; z = u + 20; i = 3; h = a + 9; q = w + 5; e = q + 14; o = i + 11. If i = 3, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 14", "w": "y + 12", "n": "w + 17", "j": "n + 15", "r": "j + 1", "e": "r + 8", "d": "l + 6", "q": "d + 14", "c": "q + 19", "a": "c + 18", "o": "a + 3", "b": "o + 11", "l": 10}, "premises": {"l": 10}, "target": "e"}, "answer": {"steps": [["r", "j + 1", "j + 9"], ["j", "n + 15", "n + 24"], ["n", "w + 17", "w + 41"], ["w", "y + 12", "y + 53"], ["y", "l + 14", "l + 67"], ["l", 10, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"l": 10}, "is_reverse": true}} | 9,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 3; e = r + 8; q = d + 14; j = n + 15; c = q + 19; d = l + 6; a = c + 18; l = 10; r = j + 1; w = y + 12; b = o + 11; n = w + 17; y = l + 14. Given that l = 10, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 1 to e, which gives e = j + 9.\n2. Substitute j = n + 15 to e, which gives e = n + 24.\n3. Substitute n = w + 17 to e, which gives e = w + 41.\n4. Substitute w = y + 12 to e, which gives e = y + 53.\n5. Substitute y = l + 14 to e, which gives e = l + 67.\n6. Substitute l = 10 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 9151,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 3; e = r + 8; q = d + 14; j = n + 15; c = q + 19; d = l + 6; a = c + 18; l = 10; r = j + 1; w = y + 12; b = o + 11; n = w + 17; y = l + 14. Given that l = 10, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 5", "i": "k + 5", "o": "i + 12", "s": "o + 20", "n": "s + 1", "m": "n + 16", "x": "l + 4", "p": "x + 11", "f": "p + 2", "b": "f + 9", "v": "b + 4", "g": "v + 2", "l": 14}, "premises": {"l": 14}, "target": "m"}, "answer": {"steps": [["n", "s + 1", "s + 17"], ["s", "o + 20", "o + 37"], ["o", "i + 12", "i + 49"], ["i", "k + 5", "k + 54"], ["k", "l + 5", "l + 59"], ["l", 14, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"l": 14}, "is_reverse": true}} | 9,152 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 4; p = x + 11; n = s + 1; k = l + 5; s = o + 20; o = i + 12; b = f + 9; l = 14; x = l + 4; i = k + 5; f = p + 2; m = n + 16; g = v + 2. Given that l = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 1 to m, which gives m = s + 17.\n2. Substitute s = o + 20 to m, which gives m = o + 37.\n3. Substitute o = i + 12 to m, which gives m = i + 49.\n4. Substitute i = k + 5 to m, which gives m = k + 54.\n5. Substitute k = l + 5 to m, which gives m = l + 59.\n6. Substitute l = 14 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 9152,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 4; p = x + 11; n = s + 1; k = l + 5; s = o + 20; o = i + 12; b = f + 9; l = 14; x = l + 4; i = k + 5; f = p + 2; m = n + 16; g = v + 2. Given that l = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 16", "r": "o + 18", "g": "r + 10", "p": "g + 20", "v": "p + 3", "i": "v + 7", "n": "z + 9", "f": "n + 2", "h": "f + 20", "q": "h + 14", "c": "q + 1", "s": "c + 2", "z": 6}, "premises": {"z": 6}, "target": "i"}, "answer": {"steps": [["v", "p + 3", "p + 10"], ["p", "g + 20", "g + 30"], ["g", "r + 10", "r + 40"], ["r", "o + 18", "o + 58"], ["o", "z + 16", "z + 74"], ["z", 6, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"z": 6}, "is_reverse": true}} | 9,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 14; n = z + 9; h = f + 20; v = p + 3; p = g + 20; c = q + 1; g = r + 10; s = c + 2; i = v + 7; r = o + 18; o = z + 16; f = n + 2; z = 6. Given that z = 6, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 3 to i, which gives i = p + 10.\n2. Substitute p = g + 20 to i, which gives i = g + 30.\n3. Substitute g = r + 10 to i, which gives i = r + 40.\n4. Substitute r = o + 18 to i, which gives i = o + 58.\n5. Substitute o = z + 16 to i, which gives i = z + 74.\n6. Substitute z = 6 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 9153,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 14; n = z + 9; h = f + 20; v = p + 3; p = g + 20; c = q + 1; g = r + 10; s = c + 2; i = v + 7; r = o + 18; o = z + 16; f = n + 2; z = 6. Given that z = 6, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 10", "e": "p + 10", "z": "e + 16", "k": "z + 12", "f": "k + 17", "c": "f + 8", "h": "g + 2", "n": "h + 17", "m": "n + 2", "r": "m + 14", "b": "r + 6", "s": "b + 18", "g": 14}, "premises": {"g": 14}, "target": "c"}, "answer": {"steps": [["f", "k + 17", "k + 25"], ["k", "z + 12", "z + 37"], ["z", "e + 16", "e + 53"], ["e", "p + 10", "p + 63"], ["p", "g + 10", "g + 73"], ["g", 14, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"g": 14}, "is_reverse": true}} | 9,154 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 14; s = b + 18; n = h + 17; h = g + 2; b = r + 6; p = g + 10; z = e + 16; g = 14; c = f + 8; e = p + 10; m = n + 2; f = k + 17; k = z + 12. If g = 14, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 17 to c, which gives c = k + 25.\n2. Substitute k = z + 12 to c, which gives c = z + 37.\n3. Substitute z = e + 16 to c, which gives c = e + 53.\n4. Substitute e = p + 10 to c, which gives c = p + 63.\n5. Substitute p = g + 10 to c, which gives c = g + 73.\n6. Substitute g = 14 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 9154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 14; s = b + 18; n = h + 17; h = g + 2; b = r + 6; p = g + 10; z = e + 16; g = 14; c = f + 8; e = p + 10; m = n + 2; f = k + 17; k = z + 12. If g = 14, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 1", "v": "o + 10", "w": "v + 12", "k": "w + 10", "e": "k + 14", "s": "e + 17", "x": "a + 20", "i": "x + 20", "f": "i + 18", "g": "f + 15", "p": "g + 18", "n": "p + 12", "a": 4}, "premises": {"a": 4}, "target": "s"}, "answer": {"steps": [["e", "k + 14", "k + 31"], ["k", "w + 10", "w + 41"], ["w", "v + 12", "v + 53"], ["v", "o + 10", "o + 63"], ["o", "a + 1", "a + 64"], ["a", 4, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"a": 4}, "is_reverse": true}} | 9,155 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 1; p = g + 18; v = o + 10; w = v + 12; e = k + 14; s = e + 17; n = p + 12; f = i + 18; g = f + 15; i = x + 20; k = w + 10; x = a + 20; a = 4. If a = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 14 to s, which gives s = k + 31.\n2. Substitute k = w + 10 to s, which gives s = w + 41.\n3. Substitute w = v + 12 to s, which gives s = v + 53.\n4. Substitute v = o + 10 to s, which gives s = o + 63.\n5. Substitute o = a + 1 to s, which gives s = a + 64.\n6. Substitute a = 4 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 9155,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 1; p = g + 18; v = o + 10; w = v + 12; e = k + 14; s = e + 17; n = p + 12; f = i + 18; g = f + 15; i = x + 20; k = w + 10; x = a + 20; a = 4. If a = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 6", "i": "c + 13", "q": "i + 5", "s": "q + 6", "y": "s + 13", "l": "y + 10", "o": "x + 4", "n": "o + 2", "d": "n + 4", "e": "d + 2", "f": "e + 5", "v": "f + 16", "x": 5}, "premises": {"x": 5}, "target": "l"}, "answer": {"steps": [["y", "s + 13", "s + 23"], ["s", "q + 6", "q + 29"], ["q", "i + 5", "i + 34"], ["i", "c + 13", "c + 47"], ["c", "x + 6", "x + 53"], ["x", 5, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"x": 5}, "is_reverse": true}} | 9,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 5; o = x + 4; i = c + 13; l = y + 10; y = s + 13; s = q + 6; f = e + 5; c = x + 6; v = f + 16; x = 5; n = o + 2; e = d + 2; d = n + 4. Given that x = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 13 to l, which gives l = s + 23.\n2. Substitute s = q + 6 to l, which gives l = q + 29.\n3. Substitute q = i + 5 to l, which gives l = i + 34.\n4. Substitute i = c + 13 to l, which gives l = c + 47.\n5. Substitute c = x + 6 to l, which gives l = x + 53.\n6. Substitute x = 5 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 9156,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 5; o = x + 4; i = c + 13; l = y + 10; y = s + 13; s = q + 6; f = e + 5; c = x + 6; v = f + 16; x = 5; n = o + 2; e = d + 2; d = n + 4. Given that x = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "u + 17", "e": "d + 13", "k": "e + 2", "a": "k + 14", "j": "a + 2", "n": "j + 5", "m": "u + 2", "q": "m + 10", "s": "q + 5", "p": "s + 20", "l": "p + 12", "w": "l + 17", "u": 18}, "premises": {"u": 18}, "target": "n"}, "answer": {"steps": [["j", "a + 2", "a + 7"], ["a", "k + 14", "k + 21"], ["k", "e + 2", "e + 23"], ["e", "d + 13", "d + 36"], ["d", "u + 17", "u + 53"], ["u", 18, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"u": 18}, "is_reverse": true}} | 9,157 | 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 = k + 14; m = u + 2; p = s + 20; u = 18; s = q + 5; w = l + 17; n = j + 5; d = u + 17; l = p + 12; k = e + 2; e = d + 13; q = m + 10; j = a + 2. If u = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 2 to n, which gives n = a + 7.\n2. Substitute a = k + 14 to n, which gives n = k + 21.\n3. Substitute k = e + 2 to n, which gives n = e + 23.\n4. Substitute e = d + 13 to n, which gives n = d + 36.\n5. Substitute d = u + 17 to n, which gives n = u + 53.\n6. Substitute u = 18 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 9157,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = k + 14; m = u + 2; p = s + 20; u = 18; s = q + 5; w = l + 17; n = j + 5; d = u + 17; l = p + 12; k = e + 2; e = d + 13; q = m + 10; j = a + 2. If u = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 8", "d": "q + 2", "v": "d + 5", "x": "v + 2", "t": "x + 13", "b": "t + 20", "g": "r + 1", "i": "g + 2", "n": "i + 4", "e": "n + 10", "w": "e + 10", "o": "w + 17", "r": 12}, "premises": {"r": 12}, "target": "b"}, "answer": {"steps": [["t", "x + 13", "x + 33"], ["x", "v + 2", "v + 35"], ["v", "d + 5", "d + 40"], ["d", "q + 2", "q + 42"], ["q", "r + 8", "r + 50"], ["r", 12, "62"]], "target_var_name": "b", "target_value": 62, "value_dict": {"r": 12}, "is_reverse": true}} | 9,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = t + 20; i = g + 2; e = n + 10; d = q + 2; w = e + 10; t = x + 13; v = d + 5; n = i + 4; r = 12; o = w + 17; q = r + 8; g = r + 1; x = v + 2. Given that r = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 13 to b, which gives b = x + 33.\n2. Substitute x = v + 2 to b, which gives b = v + 35.\n3. Substitute v = d + 5 to b, which gives b = d + 40.\n4. Substitute d = q + 2 to b, which gives b = q + 42.\n5. Substitute q = r + 8 to b, which gives b = r + 50.\n6. Substitute r = 12 to b, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 9158,
"question": "Suppose a collection of variables is related by the following definitions: b = t + 20; i = g + 2; e = n + 10; d = q + 2; w = e + 10; t = x + 13; v = d + 5; n = i + 4; r = 12; o = w + 17; q = r + 8; g = r + 1; x = v + 2. Given that r = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 19", "w": "p + 18", "q": "w + 20", "b": "q + 8", "k": "b + 4", "o": "k + 15", "e": "a + 18", "u": "e + 15", "f": "u + 15", "r": "f + 6", "z": "r + 3", "c": "z + 9", "a": 4}, "premises": {"a": 4}, "target": "o"}, "answer": {"steps": [["k", "b + 4", "b + 19"], ["b", "q + 8", "q + 27"], ["q", "w + 20", "w + 47"], ["w", "p + 18", "p + 65"], ["p", "a + 19", "a + 84"], ["a", 4, "88"]], "target_var_name": "o", "target_value": 88, "value_dict": {"a": 4}, "is_reverse": true}} | 9,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = b + 4; w = p + 18; u = e + 15; z = r + 3; b = q + 8; r = f + 6; a = 4; e = a + 18; c = z + 9; p = a + 19; q = w + 20; o = k + 15; f = u + 15. If a = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 4 to o, which gives o = b + 19.\n2. Substitute b = q + 8 to o, which gives o = q + 27.\n3. Substitute q = w + 20 to o, which gives o = w + 47.\n4. Substitute w = p + 18 to o, which gives o = p + 65.\n5. Substitute p = a + 19 to o, which gives o = a + 84.\n6. Substitute a = 4 to o, which gives o = 88.\n\nThus, the final answer is o = \\boxed{88}.",
"index": 9159,
"question": "Consider a system of variables where each variable is defined as follows: k = b + 4; w = p + 18; u = e + 15; z = r + 3; b = q + 8; r = f + 6; a = 4; e = a + 18; c = z + 9; p = a + 19; q = w + 20; o = k + 15; f = u + 15. If a = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 7", "a": "g + 1", "x": "a + 6", "b": "x + 11", "e": "b + 18", "y": "e + 10", "p": "c + 13", "q": "p + 18", "w": "q + 1", "i": "w + 1", "s": "i + 17", "k": "s + 3", "c": 9}, "premises": {"c": 9}, "target": "y"}, "answer": {"steps": [["e", "b + 18", "b + 28"], ["b", "x + 11", "x + 39"], ["x", "a + 6", "a + 45"], ["a", "g + 1", "g + 46"], ["g", "c + 7", "c + 53"], ["c", 9, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"c": 9}, "is_reverse": true}} | 9,160 | 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 = b + 18; w = q + 1; i = w + 1; a = g + 1; k = s + 3; b = x + 11; q = p + 18; g = c + 7; p = c + 13; y = e + 10; x = a + 6; c = 9; s = i + 17. If c = 9, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 18 to y, which gives y = b + 28.\n2. Substitute b = x + 11 to y, which gives y = x + 39.\n3. Substitute x = a + 6 to y, which gives y = a + 45.\n4. Substitute a = g + 1 to y, which gives y = g + 46.\n5. Substitute g = c + 7 to y, which gives y = c + 53.\n6. Substitute c = 9 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 9160,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 18; w = q + 1; i = w + 1; a = g + 1; k = s + 3; b = x + 11; q = p + 18; g = c + 7; p = c + 13; y = e + 10; x = a + 6; c = 9; s = i + 17. If c = 9, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 7", "t": "q + 10", "j": "t + 11", "k": "j + 4", "v": "k + 12", "y": "v + 17", "l": "g + 3", "h": "l + 13", "n": "h + 15", "m": "n + 18", "r": "m + 16", "i": "r + 1", "g": 18}, "premises": {"g": 18}, "target": "y"}, "answer": {"steps": [["v", "k + 12", "k + 29"], ["k", "j + 4", "j + 33"], ["j", "t + 11", "t + 44"], ["t", "q + 10", "q + 54"], ["q", "g + 7", "g + 61"], ["g", 18, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"g": 18}, "is_reverse": true}} | 9,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 12; j = t + 11; t = q + 10; m = n + 18; q = g + 7; l = g + 3; h = l + 13; g = 18; r = m + 16; n = h + 15; k = j + 4; y = v + 17; i = r + 1. If g = 18, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 12 to y, which gives y = k + 29.\n2. Substitute k = j + 4 to y, which gives y = j + 33.\n3. Substitute j = t + 11 to y, which gives y = t + 44.\n4. Substitute t = q + 10 to y, which gives y = q + 54.\n5. Substitute q = g + 7 to y, which gives y = g + 61.\n6. Substitute g = 18 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 9161,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 12; j = t + 11; t = q + 10; m = n + 18; q = g + 7; l = g + 3; h = l + 13; g = 18; r = m + 16; n = h + 15; k = j + 4; y = v + 17; i = r + 1. If g = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 17", "q": "i + 11", "h": "q + 7", "u": "h + 9", "x": "u + 9", "e": "x + 14", "r": "b + 6", "f": "r + 14", "j": "f + 3", "w": "j + 10", "c": "w + 10", "k": "c + 4", "b": 19}, "premises": {"b": 19}, "target": "e"}, "answer": {"steps": [["x", "u + 9", "u + 23"], ["u", "h + 9", "h + 32"], ["h", "q + 7", "q + 39"], ["q", "i + 11", "i + 50"], ["i", "b + 17", "b + 67"], ["b", 19, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"b": 19}, "is_reverse": true}} | 9,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 9; h = q + 7; e = x + 14; j = f + 3; w = j + 10; r = b + 6; b = 19; u = h + 9; f = r + 14; i = b + 17; c = w + 10; k = c + 4; q = i + 11. Given that b = 19, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 9 to e, which gives e = u + 23.\n2. Substitute u = h + 9 to e, which gives e = h + 32.\n3. Substitute h = q + 7 to e, which gives e = q + 39.\n4. Substitute q = i + 11 to e, which gives e = i + 50.\n5. Substitute i = b + 17 to e, which gives e = b + 67.\n6. Substitute b = 19 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 9162,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 9; h = q + 7; e = x + 14; j = f + 3; w = j + 10; r = b + 6; b = 19; u = h + 9; f = r + 14; i = b + 17; c = w + 10; k = c + 4; q = i + 11. Given that b = 19, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 6", "w": "f + 12", "m": "w + 8", "x": "m + 12", "i": "x + 7", "z": "i + 18", "d": "a + 9", "p": "d + 2", "u": "p + 16", "o": "u + 8", "y": "o + 3", "t": "y + 11", "a": 7}, "premises": {"a": 7}, "target": "z"}, "answer": {"steps": [["i", "x + 7", "x + 25"], ["x", "m + 12", "m + 37"], ["m", "w + 8", "w + 45"], ["w", "f + 12", "f + 57"], ["f", "a + 6", "a + 63"], ["a", 7, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"a": 7}, "is_reverse": true}} | 9,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 3; o = u + 8; i = x + 7; a = 7; f = a + 6; m = w + 8; t = y + 11; w = f + 12; z = i + 18; p = d + 2; d = a + 9; x = m + 12; u = p + 16. If a = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 7 to z, which gives z = x + 25.\n2. Substitute x = m + 12 to z, which gives z = m + 37.\n3. Substitute m = w + 8 to z, which gives z = w + 45.\n4. Substitute w = f + 12 to z, which gives z = f + 57.\n5. Substitute f = a + 6 to z, which gives z = a + 63.\n6. Substitute a = 7 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 9163,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 3; o = u + 8; i = x + 7; a = 7; f = a + 6; m = w + 8; t = y + 11; w = f + 12; z = i + 18; p = d + 2; d = a + 9; x = m + 12; u = p + 16. If a = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 11", "q": "z + 4", "n": "q + 18", "g": "n + 16", "v": "g + 18", "d": "v + 5", "k": "t + 8", "l": "k + 14", "u": "l + 20", "c": "u + 18", "h": "c + 9", "m": "h + 19", "t": 13}, "premises": {"t": 13}, "target": "d"}, "answer": {"steps": [["v", "g + 18", "g + 23"], ["g", "n + 16", "n + 39"], ["n", "q + 18", "q + 57"], ["q", "z + 4", "z + 61"], ["z", "t + 11", "t + 72"], ["t", 13, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"t": 13}, "is_reverse": true}} | 9,164 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 4; l = k + 14; h = c + 9; u = l + 20; v = g + 18; c = u + 18; t = 13; n = q + 18; z = t + 11; d = v + 5; g = n + 16; m = h + 19; k = t + 8. If t = 13, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 18 to d, which gives d = g + 23.\n2. Substitute g = n + 16 to d, which gives d = n + 39.\n3. Substitute n = q + 18 to d, which gives d = q + 57.\n4. Substitute q = z + 4 to d, which gives d = z + 61.\n5. Substitute z = t + 11 to d, which gives d = t + 72.\n6. Substitute t = 13 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 9164,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 4; l = k + 14; h = c + 9; u = l + 20; v = g + 18; c = u + 18; t = 13; n = q + 18; z = t + 11; d = v + 5; g = n + 16; m = h + 19; k = t + 8. If t = 13, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 3", "c": "v + 20", "a": "c + 7", "m": "a + 11", "k": "m + 9", "f": "k + 16", "x": "n + 7", "o": "x + 11", "y": "o + 4", "r": "y + 20", "j": "r + 17", "e": "j + 8", "n": 1}, "premises": {"n": 1}, "target": "f"}, "answer": {"steps": [["k", "m + 9", "m + 25"], ["m", "a + 11", "a + 36"], ["a", "c + 7", "c + 43"], ["c", "v + 20", "v + 63"], ["v", "n + 3", "n + 66"], ["n", 1, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"n": 1}, "is_reverse": true}} | 9,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 4; r = y + 20; e = j + 8; o = x + 11; f = k + 16; v = n + 3; m = a + 11; x = n + 7; k = m + 9; a = c + 7; c = v + 20; j = r + 17; n = 1. Given that n = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 9 to f, which gives f = m + 25.\n2. Substitute m = a + 11 to f, which gives f = a + 36.\n3. Substitute a = c + 7 to f, which gives f = c + 43.\n4. Substitute c = v + 20 to f, which gives f = v + 63.\n5. Substitute v = n + 3 to f, which gives f = n + 66.\n6. Substitute n = 1 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 9165,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 4; r = y + 20; e = j + 8; o = x + 11; f = k + 16; v = n + 3; m = a + 11; x = n + 7; k = m + 9; a = c + 7; c = v + 20; j = r + 17; n = 1. Given that n = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 10", "w": "x + 12", "a": "w + 5", "h": "a + 2", "b": "h + 18", "j": "b + 6", "f": "s + 1", "r": "f + 1", "g": "r + 13", "v": "g + 1", "p": "v + 13", "c": "p + 18", "s": 2}, "premises": {"s": 2}, "target": "j"}, "answer": {"steps": [["b", "h + 18", "h + 24"], ["h", "a + 2", "a + 26"], ["a", "w + 5", "w + 31"], ["w", "x + 12", "x + 43"], ["x", "s + 10", "s + 53"], ["s", 2, "55"]], "target_var_name": "j", "target_value": 55, "value_dict": {"s": 2}, "is_reverse": true}} | 9,166 | 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 = v + 13; b = h + 18; f = s + 1; s = 2; c = p + 18; v = g + 1; r = f + 1; h = a + 2; w = x + 12; a = w + 5; g = r + 13; x = s + 10; j = b + 6. If s = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 18 to j, which gives j = h + 24.\n2. Substitute h = a + 2 to j, which gives j = a + 26.\n3. Substitute a = w + 5 to j, which gives j = w + 31.\n4. Substitute w = x + 12 to j, which gives j = x + 43.\n5. Substitute x = s + 10 to j, which gives j = s + 53.\n6. Substitute s = 2 to j, which gives j = 55.\n\nThus, the final answer is j = \\boxed{55}.",
"index": 9166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 13; b = h + 18; f = s + 1; s = 2; c = p + 18; v = g + 1; r = f + 1; h = a + 2; w = x + 12; a = w + 5; g = r + 13; x = s + 10; j = b + 6. If s = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 2", "y": "m + 5", "v": "y + 20", "r": "v + 11", "l": "r + 4", "w": "l + 6", "n": "e + 10", "g": "n + 20", "b": "g + 12", "i": "b + 12", "a": "i + 9", "o": "a + 16", "e": 7}, "premises": {"e": 7}, "target": "w"}, "answer": {"steps": [["l", "r + 4", "r + 10"], ["r", "v + 11", "v + 21"], ["v", "y + 20", "y + 41"], ["y", "m + 5", "m + 46"], ["m", "e + 2", "e + 48"], ["e", 7, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"e": 7}, "is_reverse": true}} | 9,167 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = m + 5; m = e + 2; r = v + 11; b = g + 12; a = i + 9; v = y + 20; n = e + 10; g = n + 20; i = b + 12; o = a + 16; l = r + 4; w = l + 6; e = 7. Given that e = 7, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 4 to w, which gives w = r + 10.\n2. Substitute r = v + 11 to w, which gives w = v + 21.\n3. Substitute v = y + 20 to w, which gives w = y + 41.\n4. Substitute y = m + 5 to w, which gives w = m + 46.\n5. Substitute m = e + 2 to w, which gives w = e + 48.\n6. Substitute e = 7 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 9167,
"question": "Suppose a collection of variables is related by the following definitions: y = m + 5; m = e + 2; r = v + 11; b = g + 12; a = i + 9; v = y + 20; n = e + 10; g = n + 20; i = b + 12; o = a + 16; l = r + 4; w = l + 6; e = 7. Given that e = 7, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 13", "i": "l + 16", "g": "i + 4", "z": "g + 13", "w": "z + 15", "t": "w + 1", "j": "h + 4", "x": "j + 1", "o": "x + 7", "q": "o + 6", "a": "q + 15", "s": "a + 17", "h": 12}, "premises": {"h": 12}, "target": "t"}, "answer": {"steps": [["w", "z + 15", "z + 16"], ["z", "g + 13", "g + 29"], ["g", "i + 4", "i + 33"], ["i", "l + 16", "l + 49"], ["l", "h + 13", "h + 62"], ["h", 12, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"h": 12}, "is_reverse": true}} | 9,168 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 1; s = a + 17; z = g + 13; w = z + 15; j = h + 4; q = o + 6; o = x + 7; x = j + 1; g = i + 4; l = h + 13; h = 12; a = q + 15; i = l + 16. Given that h = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 15 to t, which gives t = z + 16.\n2. Substitute z = g + 13 to t, which gives t = g + 29.\n3. Substitute g = i + 4 to t, which gives t = i + 33.\n4. Substitute i = l + 16 to t, which gives t = l + 49.\n5. Substitute l = h + 13 to t, which gives t = h + 62.\n6. Substitute h = 12 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 9168,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 1; s = a + 17; z = g + 13; w = z + 15; j = h + 4; q = o + 6; o = x + 7; x = j + 1; g = i + 4; l = h + 13; h = 12; a = q + 15; i = l + 16. Given that h = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 20", "k": "c + 9", "n": "k + 14", "j": "n + 19", "h": "j + 10", "s": "h + 16", "e": "o + 10", "b": "e + 19", "a": "b + 20", "g": "a + 9", "i": "g + 15", "f": "i + 4", "o": 18}, "premises": {"o": 18}, "target": "s"}, "answer": {"steps": [["h", "j + 10", "j + 26"], ["j", "n + 19", "n + 45"], ["n", "k + 14", "k + 59"], ["k", "c + 9", "c + 68"], ["c", "o + 20", "o + 88"], ["o", 18, "106"]], "target_var_name": "s", "target_value": 106, "value_dict": {"o": 18}, "is_reverse": true}} | 9,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 18; j = n + 19; i = g + 15; c = o + 20; f = i + 4; h = j + 10; n = k + 14; e = o + 10; b = e + 19; s = h + 16; a = b + 20; g = a + 9; k = c + 9. If o = 18, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 10 to s, which gives s = j + 26.\n2. Substitute j = n + 19 to s, which gives s = n + 45.\n3. Substitute n = k + 14 to s, which gives s = k + 59.\n4. Substitute k = c + 9 to s, which gives s = c + 68.\n5. Substitute c = o + 20 to s, which gives s = o + 88.\n6. Substitute o = 18 to s, which gives s = 106.\n\nThus, the final answer is s = \\boxed{106}.",
"index": 9169,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 18; j = n + 19; i = g + 15; c = o + 20; f = i + 4; h = j + 10; n = k + 14; e = o + 10; b = e + 19; s = h + 16; a = b + 20; g = a + 9; k = c + 9. If o = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 9", "x": "t + 15", "u": "x + 10", "b": "u + 15", "z": "b + 11", "n": "z + 20", "i": "l + 4", "w": "i + 1", "v": "w + 4", "e": "v + 12", "f": "e + 6", "r": "f + 5", "l": 12}, "premises": {"l": 12}, "target": "n"}, "answer": {"steps": [["z", "b + 11", "b + 31"], ["b", "u + 15", "u + 46"], ["u", "x + 10", "x + 56"], ["x", "t + 15", "t + 71"], ["t", "l + 9", "l + 80"], ["l", 12, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"l": 12}, "is_reverse": true}} | 9,170 | 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 = v + 12; w = i + 1; z = b + 11; n = z + 20; i = l + 4; u = x + 10; v = w + 4; r = f + 5; l = 12; f = e + 6; x = t + 15; t = l + 9; b = u + 15. If l = 12, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 11 to n, which gives n = b + 31.\n2. Substitute b = u + 15 to n, which gives n = u + 46.\n3. Substitute u = x + 10 to n, which gives n = x + 56.\n4. Substitute x = t + 15 to n, which gives n = t + 71.\n5. Substitute t = l + 9 to n, which gives n = l + 80.\n6. Substitute l = 12 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 9170,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 12; w = i + 1; z = b + 11; n = z + 20; i = l + 4; u = x + 10; v = w + 4; r = f + 5; l = 12; f = e + 6; x = t + 15; t = l + 9; b = u + 15. If l = 12, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 15", "q": "u + 5", "e": "q + 9", "v": "e + 6", "x": "v + 20", "m": "x + 7", "n": "d + 1", "k": "n + 5", "w": "k + 10", "s": "w + 20", "l": "s + 14", "t": "l + 20", "d": 2}, "premises": {"d": 2}, "target": "m"}, "answer": {"steps": [["x", "v + 20", "v + 27"], ["v", "e + 6", "e + 33"], ["e", "q + 9", "q + 42"], ["q", "u + 5", "u + 47"], ["u", "d + 15", "d + 62"], ["d", 2, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"d": 2}, "is_reverse": true}} | 9,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 15; x = v + 20; l = s + 14; k = n + 5; s = w + 20; w = k + 10; m = x + 7; d = 2; q = u + 5; n = d + 1; e = q + 9; t = l + 20; v = e + 6. Given that d = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 20 to m, which gives m = v + 27.\n2. Substitute v = e + 6 to m, which gives m = e + 33.\n3. Substitute e = q + 9 to m, which gives m = q + 42.\n4. Substitute q = u + 5 to m, which gives m = u + 47.\n5. Substitute u = d + 15 to m, which gives m = d + 62.\n6. Substitute d = 2 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 9171,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 15; x = v + 20; l = s + 14; k = n + 5; s = w + 20; w = k + 10; m = x + 7; d = 2; q = u + 5; n = d + 1; e = q + 9; t = l + 20; v = e + 6. Given that d = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 18", "t": "k + 17", "j": "t + 12", "s": "j + 8", "p": "s + 8", "i": "p + 7", "u": "n + 17", "a": "u + 16", "q": "a + 4", "e": "q + 10", "h": "e + 14", "x": "h + 8", "n": 11}, "premises": {"n": 11}, "target": "i"}, "answer": {"steps": [["p", "s + 8", "s + 15"], ["s", "j + 8", "j + 23"], ["j", "t + 12", "t + 35"], ["t", "k + 17", "k + 52"], ["k", "n + 18", "n + 70"], ["n", 11, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"n": 11}, "is_reverse": true}} | 9,172 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = h + 8; q = a + 4; j = t + 12; u = n + 17; t = k + 17; e = q + 10; p = s + 8; k = n + 18; n = 11; i = p + 7; h = e + 14; a = u + 16; s = j + 8. If n = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 8 to i, which gives i = s + 15.\n2. Substitute s = j + 8 to i, which gives i = j + 23.\n3. Substitute j = t + 12 to i, which gives i = t + 35.\n4. Substitute t = k + 17 to i, which gives i = k + 52.\n5. Substitute k = n + 18 to i, which gives i = n + 70.\n6. Substitute n = 11 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 9172,
"question": "Consider a system of variables where each variable is defined as follows: x = h + 8; q = a + 4; j = t + 12; u = n + 17; t = k + 17; e = q + 10; p = s + 8; k = n + 18; n = 11; i = p + 7; h = e + 14; a = u + 16; s = j + 8. If n = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 1", "z": "s + 3", "g": "z + 9", "y": "g + 2", "b": "y + 11", "i": "b + 19", "d": "h + 13", "l": "d + 10", "v": "l + 18", "e": "v + 11", "w": "e + 1", "j": "w + 16", "h": 15}, "premises": {"h": 15}, "target": "i"}, "answer": {"steps": [["b", "y + 11", "y + 30"], ["y", "g + 2", "g + 32"], ["g", "z + 9", "z + 41"], ["z", "s + 3", "s + 44"], ["s", "h + 1", "h + 45"], ["h", 15, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"h": 15}, "is_reverse": true}} | 9,173 | 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 = h + 13; s = h + 1; i = b + 19; z = s + 3; v = l + 18; w = e + 1; b = y + 11; e = v + 11; j = w + 16; g = z + 9; l = d + 10; h = 15; y = g + 2. If h = 15, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 11 to i, which gives i = y + 30.\n2. Substitute y = g + 2 to i, which gives i = g + 32.\n3. Substitute g = z + 9 to i, which gives i = z + 41.\n4. Substitute z = s + 3 to i, which gives i = s + 44.\n5. Substitute s = h + 1 to i, which gives i = h + 45.\n6. Substitute h = 15 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 9173,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 13; s = h + 1; i = b + 19; z = s + 3; v = l + 18; w = e + 1; b = y + 11; e = v + 11; j = w + 16; g = z + 9; l = d + 10; h = 15; y = g + 2. If h = 15, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 13", "r": "a + 7", "j": "r + 12", "f": "j + 20", "d": "f + 14", "o": "d + 8", "y": "m + 11", "x": "y + 5", "s": "x + 19", "h": "s + 13", "v": "h + 17", "i": "v + 7", "m": 2}, "premises": {"m": 2}, "target": "o"}, "answer": {"steps": [["d", "f + 14", "f + 22"], ["f", "j + 20", "j + 42"], ["j", "r + 12", "r + 54"], ["r", "a + 7", "a + 61"], ["a", "m + 13", "m + 74"], ["m", 2, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"m": 2}, "is_reverse": true}} | 9,174 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 2; j = r + 12; h = s + 13; i = v + 7; f = j + 20; a = m + 13; s = x + 19; o = d + 8; v = h + 17; y = m + 11; d = f + 14; x = y + 5; r = a + 7. Given that m = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 14 to o, which gives o = f + 22.\n2. Substitute f = j + 20 to o, which gives o = j + 42.\n3. Substitute j = r + 12 to o, which gives o = r + 54.\n4. Substitute r = a + 7 to o, which gives o = a + 61.\n5. Substitute a = m + 13 to o, which gives o = m + 74.\n6. Substitute m = 2 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 9174,
"question": "Suppose a collection of variables is related by the following definitions: m = 2; j = r + 12; h = s + 13; i = v + 7; f = j + 20; a = m + 13; s = x + 19; o = d + 8; v = h + 17; y = m + 11; d = f + 14; x = y + 5; r = a + 7. Given that m = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 8", "i": "v + 4", "p": "i + 5", "n": "p + 12", "r": "n + 6", "l": "r + 5", "m": "g + 13", "h": "m + 15", "c": "h + 13", "j": "c + 4", "s": "j + 6", "f": "s + 10", "g": 5}, "premises": {"g": 5}, "target": "l"}, "answer": {"steps": [["r", "n + 6", "n + 11"], ["n", "p + 12", "p + 23"], ["p", "i + 5", "i + 28"], ["i", "v + 4", "v + 32"], ["v", "g + 8", "g + 40"], ["g", 5, "45"]], "target_var_name": "l", "target_value": 45, "value_dict": {"g": 5}, "is_reverse": true}} | 9,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = g + 8; i = v + 4; c = h + 13; h = m + 15; n = p + 12; g = 5; p = i + 5; f = s + 10; s = j + 6; j = c + 4; m = g + 13; r = n + 6; l = r + 5. If g = 5, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 6 to l, which gives l = n + 11.\n2. Substitute n = p + 12 to l, which gives l = p + 23.\n3. Substitute p = i + 5 to l, which gives l = i + 28.\n4. Substitute i = v + 4 to l, which gives l = v + 32.\n5. Substitute v = g + 8 to l, which gives l = g + 40.\n6. Substitute g = 5 to l, which gives l = 45.\n\nThus, the final answer is l = \\boxed{45}.",
"index": 9175,
"question": "Consider a system of variables where each variable is defined as follows: v = g + 8; i = v + 4; c = h + 13; h = m + 15; n = p + 12; g = 5; p = i + 5; f = s + 10; s = j + 6; j = c + 4; m = g + 13; r = n + 6; l = r + 5. If g = 5, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 6", "w": "s + 19", "l": "w + 13", "v": "l + 6", "p": "v + 10", "q": "p + 1", "y": "j + 15", "c": "y + 2", "e": "c + 15", "h": "e + 1", "f": "h + 18", "k": "f + 15", "j": 11}, "premises": {"j": 11}, "target": "q"}, "answer": {"steps": [["p", "v + 10", "v + 11"], ["v", "l + 6", "l + 17"], ["l", "w + 13", "w + 30"], ["w", "s + 19", "s + 49"], ["s", "j + 6", "j + 55"], ["j", 11, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"j": 11}, "is_reverse": true}} | 9,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = j + 6; h = e + 1; y = j + 15; v = l + 6; w = s + 19; e = c + 15; p = v + 10; c = y + 2; q = p + 1; l = w + 13; k = f + 15; f = h + 18; j = 11. If j = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 10 to q, which gives q = v + 11.\n2. Substitute v = l + 6 to q, which gives q = l + 17.\n3. Substitute l = w + 13 to q, which gives q = w + 30.\n4. Substitute w = s + 19 to q, which gives q = s + 49.\n5. Substitute s = j + 6 to q, which gives q = j + 55.\n6. Substitute j = 11 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 9176,
"question": "Consider a system of variables where each variable is defined as follows: s = j + 6; h = e + 1; y = j + 15; v = l + 6; w = s + 19; e = c + 15; p = v + 10; c = y + 2; q = p + 1; l = w + 13; k = f + 15; f = h + 18; j = 11. If j = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 9", "b": "i + 2", "n": "b + 20", "z": "n + 3", "d": "z + 14", "w": "d + 9", "l": "v + 5", "q": "l + 5", "p": "q + 18", "f": "p + 6", "r": "f + 7", "j": "r + 6", "v": 6}, "premises": {"v": 6}, "target": "w"}, "answer": {"steps": [["d", "z + 14", "z + 23"], ["z", "n + 3", "n + 26"], ["n", "b + 20", "b + 46"], ["b", "i + 2", "i + 48"], ["i", "v + 9", "v + 57"], ["v", 6, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"v": 6}, "is_reverse": true}} | 9,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 7; v = 6; n = b + 20; f = p + 6; b = i + 2; w = d + 9; p = q + 18; d = z + 14; q = l + 5; l = v + 5; z = n + 3; i = v + 9; j = r + 6. Given that v = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 14 to w, which gives w = z + 23.\n2. Substitute z = n + 3 to w, which gives w = n + 26.\n3. Substitute n = b + 20 to w, which gives w = b + 46.\n4. Substitute b = i + 2 to w, which gives w = i + 48.\n5. Substitute i = v + 9 to w, which gives w = v + 57.\n6. Substitute v = 6 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 9177,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 7; v = 6; n = b + 20; f = p + 6; b = i + 2; w = d + 9; p = q + 18; d = z + 14; q = l + 5; l = v + 5; z = n + 3; i = v + 9; j = r + 6. Given that v = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 11", "s": "f + 5", "z": "s + 11", "m": "z + 19", "v": "m + 20", "l": "v + 4", "g": "u + 5", "o": "g + 19", "q": "o + 2", "t": "q + 2", "k": "t + 13", "j": "k + 2", "u": 15}, "premises": {"u": 15}, "target": "l"}, "answer": {"steps": [["v", "m + 20", "m + 24"], ["m", "z + 19", "z + 43"], ["z", "s + 11", "s + 54"], ["s", "f + 5", "f + 59"], ["f", "u + 11", "u + 70"], ["u", 15, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"u": 15}, "is_reverse": true}} | 9,178 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 20; z = s + 11; k = t + 13; s = f + 5; t = q + 2; l = v + 4; j = k + 2; u = 15; m = z + 19; f = u + 11; g = u + 5; q = o + 2; o = g + 19. If u = 15, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 20 to l, which gives l = m + 24.\n2. Substitute m = z + 19 to l, which gives l = z + 43.\n3. Substitute z = s + 11 to l, which gives l = s + 54.\n4. Substitute s = f + 5 to l, which gives l = f + 59.\n5. Substitute f = u + 11 to l, which gives l = u + 70.\n6. Substitute u = 15 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 9178,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 20; z = s + 11; k = t + 13; s = f + 5; t = q + 2; l = v + 4; j = k + 2; u = 15; m = z + 19; f = u + 11; g = u + 5; q = o + 2; o = g + 19. If u = 15, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 13", "g": "o + 15", "f": "g + 16", "c": "f + 13", "u": "c + 6", "s": "u + 5", "p": "i + 7", "b": "p + 20", "l": "b + 18", "k": "l + 7", "z": "k + 10", "a": "z + 2", "i": 18}, "premises": {"i": 18}, "target": "s"}, "answer": {"steps": [["u", "c + 6", "c + 11"], ["c", "f + 13", "f + 24"], ["f", "g + 16", "g + 40"], ["g", "o + 15", "o + 55"], ["o", "i + 13", "i + 68"], ["i", 18, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"i": 18}, "is_reverse": true}} | 9,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 13; f = g + 16; i = 18; l = b + 18; u = c + 6; a = z + 2; o = i + 13; z = k + 10; b = p + 20; s = u + 5; p = i + 7; g = o + 15; k = l + 7. If i = 18, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 6 to s, which gives s = c + 11.\n2. Substitute c = f + 13 to s, which gives s = f + 24.\n3. Substitute f = g + 16 to s, which gives s = g + 40.\n4. Substitute g = o + 15 to s, which gives s = o + 55.\n5. Substitute o = i + 13 to s, which gives s = i + 68.\n6. Substitute i = 18 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 9179,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 13; f = g + 16; i = 18; l = b + 18; u = c + 6; a = z + 2; o = i + 13; z = k + 10; b = p + 20; s = u + 5; p = i + 7; g = o + 15; k = l + 7. If i = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 4", "f": "o + 18", "c": "f + 2", "n": "c + 12", "y": "n + 6", "m": "y + 2", "q": "j + 10", "d": "q + 12", "r": "d + 18", "z": "r + 20", "u": "z + 17", "p": "u + 4", "j": 20}, "premises": {"j": 20}, "target": "m"}, "answer": {"steps": [["y", "n + 6", "n + 8"], ["n", "c + 12", "c + 20"], ["c", "f + 2", "f + 22"], ["f", "o + 18", "o + 40"], ["o", "j + 4", "j + 44"], ["j", 20, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"j": 20}, "is_reverse": true}} | 9,180 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 12; q = j + 10; j = 20; y = n + 6; f = o + 18; m = y + 2; z = r + 20; p = u + 4; d = q + 12; r = d + 18; u = z + 17; o = j + 4; c = f + 2. If j = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 6 to m, which gives m = n + 8.\n2. Substitute n = c + 12 to m, which gives m = c + 20.\n3. Substitute c = f + 2 to m, which gives m = f + 22.\n4. Substitute f = o + 18 to m, which gives m = o + 40.\n5. Substitute o = j + 4 to m, which gives m = j + 44.\n6. Substitute j = 20 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 9180,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 12; q = j + 10; j = 20; y = n + 6; f = o + 18; m = y + 2; z = r + 20; p = u + 4; d = q + 12; r = d + 18; u = z + 17; o = j + 4; c = f + 2. If j = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 13", "r": "c + 17", "s": "r + 8", "d": "s + 20", "o": "d + 15", "v": "o + 20", "x": "k + 12", "n": "x + 4", "z": "n + 5", "e": "z + 2", "h": "e + 14", "m": "h + 5", "k": 19}, "premises": {"k": 19}, "target": "v"}, "answer": {"steps": [["o", "d + 15", "d + 35"], ["d", "s + 20", "s + 55"], ["s", "r + 8", "r + 63"], ["r", "c + 17", "c + 80"], ["c", "k + 13", "k + 93"], ["k", 19, "112"]], "target_var_name": "v", "target_value": 112, "value_dict": {"k": 19}, "is_reverse": true}} | 9,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 13; e = z + 2; o = d + 15; s = r + 8; r = c + 17; z = n + 5; v = o + 20; k = 19; d = s + 20; m = h + 5; x = k + 12; h = e + 14; n = x + 4. If k = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 112,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 15 to v, which gives v = d + 35.\n2. Substitute d = s + 20 to v, which gives v = s + 55.\n3. Substitute s = r + 8 to v, which gives v = r + 63.\n4. Substitute r = c + 17 to v, which gives v = c + 80.\n5. Substitute c = k + 13 to v, which gives v = k + 93.\n6. Substitute k = 19 to v, which gives v = 112.\n\nThus, the final answer is v = \\boxed{112}.",
"index": 9181,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 13; e = z + 2; o = d + 15; s = r + 8; r = c + 17; z = n + 5; v = o + 20; k = 19; d = s + 20; m = h + 5; x = k + 12; h = e + 14; n = x + 4. If k = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 1", "q": "f + 15", "u": "q + 1", "j": "u + 15", "m": "j + 13", "x": "m + 10", "b": "h + 6", "y": "b + 10", "k": "y + 13", "t": "k + 17", "r": "t + 2", "a": "r + 10", "h": 8}, "premises": {"h": 8}, "target": "x"}, "answer": {"steps": [["m", "j + 13", "j + 23"], ["j", "u + 15", "u + 38"], ["u", "q + 1", "q + 39"], ["q", "f + 15", "f + 54"], ["f", "h + 1", "h + 55"], ["h", 8, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"h": 8}, "is_reverse": true}} | 9,182 | 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 = m + 10; r = t + 2; u = q + 1; h = 8; a = r + 10; f = h + 1; t = k + 17; j = u + 15; b = h + 6; y = b + 10; m = j + 13; k = y + 13; q = f + 15. If h = 8, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 13 to x, which gives x = j + 23.\n2. Substitute j = u + 15 to x, which gives x = u + 38.\n3. Substitute u = q + 1 to x, which gives x = q + 39.\n4. Substitute q = f + 15 to x, which gives x = f + 54.\n5. Substitute f = h + 1 to x, which gives x = h + 55.\n6. Substitute h = 8 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 9182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 10; r = t + 2; u = q + 1; h = 8; a = r + 10; f = h + 1; t = k + 17; j = u + 15; b = h + 6; y = b + 10; m = j + 13; k = y + 13; q = f + 15. If h = 8, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 2", "c": "t + 2", "r": "c + 13", "p": "r + 3", "w": "p + 14", "e": "w + 10", "o": "v + 13", "i": "o + 3", "x": "i + 19", "y": "x + 11", "q": "y + 12", "n": "q + 18", "v": 1}, "premises": {"v": 1}, "target": "e"}, "answer": {"steps": [["w", "p + 14", "p + 24"], ["p", "r + 3", "r + 27"], ["r", "c + 13", "c + 40"], ["c", "t + 2", "t + 42"], ["t", "v + 2", "v + 44"], ["v", 1, "45"]], "target_var_name": "e", "target_value": 45, "value_dict": {"v": 1}, "is_reverse": true}} | 9,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = o + 3; o = v + 13; e = w + 10; q = y + 12; r = c + 13; c = t + 2; n = q + 18; y = x + 11; p = r + 3; x = i + 19; t = v + 2; w = p + 14; v = 1. If v = 1, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 14 to e, which gives e = p + 24.\n2. Substitute p = r + 3 to e, which gives e = r + 27.\n3. Substitute r = c + 13 to e, which gives e = c + 40.\n4. Substitute c = t + 2 to e, which gives e = t + 42.\n5. Substitute t = v + 2 to e, which gives e = v + 44.\n6. Substitute v = 1 to e, which gives e = 45.\n\nThus, the final answer is e = \\boxed{45}.",
"index": 9183,
"question": "Consider a system of variables where each variable is defined as follows: i = o + 3; o = v + 13; e = w + 10; q = y + 12; r = c + 13; c = t + 2; n = q + 18; y = x + 11; p = r + 3; x = i + 19; t = v + 2; w = p + 14; v = 1. If v = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 1", "v": "f + 17", "l": "v + 7", "w": "l + 3", "d": "w + 2", "u": "d + 5", "y": "h + 2", "r": "y + 7", "p": "r + 1", "t": "p + 3", "k": "t + 17", "j": "k + 13", "h": 7}, "premises": {"h": 7}, "target": "u"}, "answer": {"steps": [["d", "w + 2", "w + 7"], ["w", "l + 3", "l + 10"], ["l", "v + 7", "v + 17"], ["v", "f + 17", "f + 34"], ["f", "h + 1", "h + 35"], ["h", 7, "42"]], "target_var_name": "u", "target_value": 42, "value_dict": {"h": 7}, "is_reverse": true}} | 9,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 17; j = k + 13; y = h + 2; r = y + 7; p = r + 1; l = v + 7; w = l + 3; d = w + 2; f = h + 1; u = d + 5; h = 7; t = p + 3; v = f + 17. Given that h = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 2 to u, which gives u = w + 7.\n2. Substitute w = l + 3 to u, which gives u = l + 10.\n3. Substitute l = v + 7 to u, which gives u = v + 17.\n4. Substitute v = f + 17 to u, which gives u = f + 34.\n5. Substitute f = h + 1 to u, which gives u = h + 35.\n6. Substitute h = 7 to u, which gives u = 42.\n\nThus, the final answer is u = \\boxed{42}.",
"index": 9184,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 17; j = k + 13; y = h + 2; r = y + 7; p = r + 1; l = v + 7; w = l + 3; d = w + 2; f = h + 1; u = d + 5; h = 7; t = p + 3; v = f + 17. Given that h = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 1", "o": "h + 7", "s": "o + 18", "r": "s + 17", "x": "r + 4", "p": "x + 20", "j": "g + 10", "a": "j + 5", "u": "a + 4", "f": "u + 8", "w": "f + 20", "v": "w + 5", "g": 17}, "premises": {"g": 17}, "target": "p"}, "answer": {"steps": [["x", "r + 4", "r + 24"], ["r", "s + 17", "s + 41"], ["s", "o + 18", "o + 59"], ["o", "h + 7", "h + 66"], ["h", "g + 1", "g + 67"], ["g", 17, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"g": 17}, "is_reverse": true}} | 9,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = w + 5; f = u + 8; p = x + 20; u = a + 4; j = g + 10; x = r + 4; w = f + 20; a = j + 5; o = h + 7; g = 17; h = g + 1; r = s + 17; s = o + 18. If g = 17, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 4 to p, which gives p = r + 24.\n2. Substitute r = s + 17 to p, which gives p = s + 41.\n3. Substitute s = o + 18 to p, which gives p = o + 59.\n4. Substitute o = h + 7 to p, which gives p = h + 66.\n5. Substitute h = g + 1 to p, which gives p = g + 67.\n6. Substitute g = 17 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 9185,
"question": "Consider a system of variables where each variable is defined as follows: v = w + 5; f = u + 8; p = x + 20; u = a + 4; j = g + 10; x = r + 4; w = f + 20; a = j + 5; o = h + 7; g = 17; h = g + 1; r = s + 17; s = o + 18. If g = 17, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 1", "c": "m + 15", "x": "c + 16", "v": "x + 11", "u": "v + 12", "e": "u + 12", "q": "o + 5", "j": "q + 11", "w": "j + 7", "i": "w + 3", "h": "i + 2", "b": "h + 13", "o": 7}, "premises": {"o": 7}, "target": "e"}, "answer": {"steps": [["u", "v + 12", "v + 24"], ["v", "x + 11", "x + 35"], ["x", "c + 16", "c + 51"], ["c", "m + 15", "m + 66"], ["m", "o + 1", "o + 67"], ["o", 7, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"o": 7}, "is_reverse": true}} | 9,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 1; j = q + 11; h = i + 2; x = c + 16; u = v + 12; o = 7; v = x + 11; c = m + 15; e = u + 12; w = j + 7; q = o + 5; b = h + 13; i = w + 3. Given that o = 7, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 12 to e, which gives e = v + 24.\n2. Substitute v = x + 11 to e, which gives e = x + 35.\n3. Substitute x = c + 16 to e, which gives e = c + 51.\n4. Substitute c = m + 15 to e, which gives e = m + 66.\n5. Substitute m = o + 1 to e, which gives e = o + 67.\n6. Substitute o = 7 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 9186,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 1; j = q + 11; h = i + 2; x = c + 16; u = v + 12; o = 7; v = x + 11; c = m + 15; e = u + 12; w = j + 7; q = o + 5; b = h + 13; i = w + 3. Given that o = 7, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 10", "t": "o + 8", "z": "t + 19", "g": "z + 5", "m": "g + 1", "q": "m + 4", "y": "e + 12", "i": "y + 1", "d": "i + 6", "b": "d + 16", "v": "b + 9", "k": "v + 10", "e": 8}, "premises": {"e": 8}, "target": "q"}, "answer": {"steps": [["m", "g + 1", "g + 5"], ["g", "z + 5", "z + 10"], ["z", "t + 19", "t + 29"], ["t", "o + 8", "o + 37"], ["o", "e + 10", "e + 47"], ["e", 8, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"e": 8}, "is_reverse": true}} | 9,187 | 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 + 10; o = e + 10; t = o + 8; y = e + 12; q = m + 4; i = y + 1; b = d + 16; m = g + 1; z = t + 19; d = i + 6; e = 8; g = z + 5; v = b + 9. If e = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 1 to q, which gives q = g + 5.\n2. Substitute g = z + 5 to q, which gives q = z + 10.\n3. Substitute z = t + 19 to q, which gives q = t + 29.\n4. Substitute t = o + 8 to q, which gives q = o + 37.\n5. Substitute o = e + 10 to q, which gives q = e + 47.\n6. Substitute e = 8 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 9187,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 10; o = e + 10; t = o + 8; y = e + 12; q = m + 4; i = y + 1; b = d + 16; m = g + 1; z = t + 19; d = i + 6; e = 8; g = z + 5; v = b + 9. If e = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 15", "b": "i + 5", "g": "b + 14", "p": "g + 19", "e": "p + 10", "n": "e + 20", "v": "u + 2", "f": "v + 6", "a": "f + 9", "l": "a + 17", "z": "l + 12", "h": "z + 2", "u": 7}, "premises": {"u": 7}, "target": "n"}, "answer": {"steps": [["e", "p + 10", "p + 30"], ["p", "g + 19", "g + 49"], ["g", "b + 14", "b + 63"], ["b", "i + 5", "i + 68"], ["i", "u + 15", "u + 83"], ["u", 7, "90"]], "target_var_name": "n", "target_value": 90, "value_dict": {"u": 7}, "is_reverse": true}} | 9,188 | 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 = a + 17; z = l + 12; f = v + 6; i = u + 15; h = z + 2; n = e + 20; v = u + 2; b = i + 5; a = f + 9; p = g + 19; e = p + 10; g = b + 14; u = 7. If u = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 10 to n, which gives n = p + 30.\n2. Substitute p = g + 19 to n, which gives n = g + 49.\n3. Substitute g = b + 14 to n, which gives n = b + 63.\n4. Substitute b = i + 5 to n, which gives n = i + 68.\n5. Substitute i = u + 15 to n, which gives n = u + 83.\n6. Substitute u = 7 to n, which gives n = 90.\n\nThus, the final answer is n = \\boxed{90}.",
"index": 9188,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 17; z = l + 12; f = v + 6; i = u + 15; h = z + 2; n = e + 20; v = u + 2; b = i + 5; a = f + 9; p = g + 19; e = p + 10; g = b + 14; u = 7. If u = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 18", "x": "j + 2", "a": "x + 5", "r": "a + 3", "v": "r + 20", "b": "v + 6", "p": "l + 19", "z": "p + 9", "n": "z + 4", "s": "n + 10", "d": "s + 3", "h": "d + 14", "l": 6}, "premises": {"l": 6}, "target": "b"}, "answer": {"steps": [["v", "r + 20", "r + 26"], ["r", "a + 3", "a + 29"], ["a", "x + 5", "x + 34"], ["x", "j + 2", "j + 36"], ["j", "l + 18", "l + 54"], ["l", 6, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"l": 6}, "is_reverse": true}} | 9,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = j + 2; b = v + 6; a = x + 5; d = s + 3; r = a + 3; s = n + 10; p = l + 19; j = l + 18; l = 6; v = r + 20; n = z + 4; h = d + 14; z = p + 9. If l = 6, determine 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 v = r + 20 to b, which gives b = r + 26.\n2. Substitute r = a + 3 to b, which gives b = a + 29.\n3. Substitute a = x + 5 to b, which gives b = x + 34.\n4. Substitute x = j + 2 to b, which gives b = j + 36.\n5. Substitute j = l + 18 to b, which gives b = l + 54.\n6. Substitute l = 6 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 9189,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 2; b = v + 6; a = x + 5; d = s + 3; r = a + 3; s = n + 10; p = l + 19; j = l + 18; l = 6; v = r + 20; n = z + 4; h = d + 14; z = p + 9. If l = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 20", "r": "l + 8", "j": "r + 14", "c": "j + 17", "u": "c + 5", "h": "u + 11", "v": "s + 4", "n": "v + 16", "g": "n + 19", "a": "g + 5", "m": "a + 18", "b": "m + 3", "s": 1}, "premises": {"s": 1}, "target": "h"}, "answer": {"steps": [["u", "c + 5", "c + 16"], ["c", "j + 17", "j + 33"], ["j", "r + 14", "r + 47"], ["r", "l + 8", "l + 55"], ["l", "s + 20", "s + 75"], ["s", 1, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"s": 1}, "is_reverse": true}} | 9,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 1; u = c + 5; a = g + 5; b = m + 3; n = v + 16; g = n + 19; r = l + 8; c = j + 17; l = s + 20; h = u + 11; m = a + 18; v = s + 4; j = r + 14. Given that s = 1, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 5 to h, which gives h = c + 16.\n2. Substitute c = j + 17 to h, which gives h = j + 33.\n3. Substitute j = r + 14 to h, which gives h = r + 47.\n4. Substitute r = l + 8 to h, which gives h = l + 55.\n5. Substitute l = s + 20 to h, which gives h = s + 75.\n6. Substitute s = 1 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 9190,
"question": "Suppose a collection of variables is related by the following definitions: s = 1; u = c + 5; a = g + 5; b = m + 3; n = v + 16; g = n + 19; r = l + 8; c = j + 17; l = s + 20; h = u + 11; m = a + 18; v = s + 4; j = r + 14. Given that s = 1, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 6", "g": "f + 1", "o": "g + 10", "w": "o + 20", "l": "w + 18", "m": "l + 13", "t": "b + 2", "r": "t + 4", "i": "r + 12", "j": "i + 12", "x": "j + 12", "q": "x + 1", "b": 13}, "premises": {"b": 13}, "target": "m"}, "answer": {"steps": [["l", "w + 18", "w + 31"], ["w", "o + 20", "o + 51"], ["o", "g + 10", "g + 61"], ["g", "f + 1", "f + 62"], ["f", "b + 6", "b + 68"], ["b", 13, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"b": 13}, "is_reverse": true}} | 9,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = o + 20; b = 13; o = g + 10; t = b + 2; x = j + 12; i = r + 12; q = x + 1; j = i + 12; l = w + 18; f = b + 6; m = l + 13; g = f + 1; r = t + 4. Given that b = 13, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 18 to m, which gives m = w + 31.\n2. Substitute w = o + 20 to m, which gives m = o + 51.\n3. Substitute o = g + 10 to m, which gives m = g + 61.\n4. Substitute g = f + 1 to m, which gives m = f + 62.\n5. Substitute f = b + 6 to m, which gives m = b + 68.\n6. Substitute b = 13 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 9191,
"question": "Suppose a collection of variables is related by the following definitions: w = o + 20; b = 13; o = g + 10; t = b + 2; x = j + 12; i = r + 12; q = x + 1; j = i + 12; l = w + 18; f = b + 6; m = l + 13; g = f + 1; r = t + 4. Given that b = 13, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 9", "b": "f + 3", "c": "b + 10", "y": "c + 10", "n": "y + 8", "o": "n + 5", "x": "q + 3", "h": "x + 4", "v": "h + 9", "w": "v + 19", "p": "w + 4", "e": "p + 6", "q": 8}, "premises": {"q": 8}, "target": "o"}, "answer": {"steps": [["n", "y + 8", "y + 13"], ["y", "c + 10", "c + 23"], ["c", "b + 10", "b + 33"], ["b", "f + 3", "f + 36"], ["f", "q + 9", "q + 45"], ["q", 8, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"q": 8}, "is_reverse": true}} | 9,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 8; h = x + 4; n = y + 8; p = w + 4; e = p + 6; c = b + 10; v = h + 9; o = n + 5; b = f + 3; x = q + 3; f = q + 9; w = v + 19; y = c + 10. Given that q = 8, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 8 to o, which gives o = y + 13.\n2. Substitute y = c + 10 to o, which gives o = c + 23.\n3. Substitute c = b + 10 to o, which gives o = b + 33.\n4. Substitute b = f + 3 to o, which gives o = f + 36.\n5. Substitute f = q + 9 to o, which gives o = q + 45.\n6. Substitute q = 8 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 9192,
"question": "Suppose a collection of variables is related by the following definitions: q = 8; h = x + 4; n = y + 8; p = w + 4; e = p + 6; c = b + 10; v = h + 9; o = n + 5; b = f + 3; x = q + 3; f = q + 9; w = v + 19; y = c + 10. Given that q = 8, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 18", "z": "h + 14", "o": "z + 19", "s": "o + 16", "w": "s + 14", "n": "w + 8", "c": "l + 13", "i": "c + 10", "m": "i + 20", "f": "m + 15", "p": "f + 17", "b": "p + 18", "l": 18}, "premises": {"l": 18}, "target": "n"}, "answer": {"steps": [["w", "s + 14", "s + 22"], ["s", "o + 16", "o + 38"], ["o", "z + 19", "z + 57"], ["z", "h + 14", "h + 71"], ["h", "l + 18", "l + 89"], ["l", 18, "107"]], "target_var_name": "n", "target_value": 107, "value_dict": {"l": 18}, "is_reverse": true}} | 9,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 8; i = c + 10; o = z + 19; z = h + 14; c = l + 13; m = i + 20; w = s + 14; f = m + 15; p = f + 17; s = o + 16; b = p + 18; l = 18; h = l + 18. If l = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 14 to n, which gives n = s + 22.\n2. Substitute s = o + 16 to n, which gives n = o + 38.\n3. Substitute o = z + 19 to n, which gives n = z + 57.\n4. Substitute z = h + 14 to n, which gives n = h + 71.\n5. Substitute h = l + 18 to n, which gives n = l + 89.\n6. Substitute l = 18 to n, which gives n = 107.\n\nThus, the final answer is n = \\boxed{107}.",
"index": 9193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 8; i = c + 10; o = z + 19; z = h + 14; c = l + 13; m = i + 20; w = s + 14; f = m + 15; p = f + 17; s = o + 16; b = p + 18; l = 18; h = l + 18. If l = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 14", "j": "k + 17", "l": "j + 11", "i": "l + 8", "z": "i + 19", "w": "z + 5", "h": "q + 15", "g": "h + 3", "v": "g + 16", "x": "v + 5", "c": "x + 13", "s": "c + 14", "q": 1}, "premises": {"q": 1}, "target": "w"}, "answer": {"steps": [["z", "i + 19", "i + 24"], ["i", "l + 8", "l + 32"], ["l", "j + 11", "j + 43"], ["j", "k + 17", "k + 60"], ["k", "q + 14", "q + 74"], ["q", 1, "75"]], "target_var_name": "w", "target_value": 75, "value_dict": {"q": 1}, "is_reverse": true}} | 9,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 5; i = l + 8; c = x + 13; k = q + 14; q = 1; s = c + 14; l = j + 11; z = i + 19; j = k + 17; g = h + 3; v = g + 16; h = q + 15; x = v + 5. If q = 1, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 19 to w, which gives w = i + 24.\n2. Substitute i = l + 8 to w, which gives w = l + 32.\n3. Substitute l = j + 11 to w, which gives w = j + 43.\n4. Substitute j = k + 17 to w, which gives w = k + 60.\n5. Substitute k = q + 14 to w, which gives w = q + 74.\n6. Substitute q = 1 to w, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 9194,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 5; i = l + 8; c = x + 13; k = q + 14; q = 1; s = c + 14; l = j + 11; z = i + 19; j = k + 17; g = h + 3; v = g + 16; h = q + 15; x = v + 5. If q = 1, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 5", "k": "f + 19", "d": "k + 4", "j": "d + 5", "e": "j + 20", "b": "e + 12", "u": "n + 20", "q": "u + 3", "w": "q + 14", "r": "w + 8", "z": "r + 17", "g": "z + 12", "n": 19}, "premises": {"n": 19}, "target": "b"}, "answer": {"steps": [["e", "j + 20", "j + 32"], ["j", "d + 5", "d + 37"], ["d", "k + 4", "k + 41"], ["k", "f + 19", "f + 60"], ["f", "n + 5", "n + 65"], ["n", 19, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"n": 19}, "is_reverse": true}} | 9,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 19; d = k + 4; u = n + 20; n = 19; j = d + 5; e = j + 20; g = z + 12; b = e + 12; r = w + 8; q = u + 3; z = r + 17; f = n + 5; w = q + 14. If n = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 20 to b, which gives b = j + 32.\n2. Substitute j = d + 5 to b, which gives b = d + 37.\n3. Substitute d = k + 4 to b, which gives b = k + 41.\n4. Substitute k = f + 19 to b, which gives b = f + 60.\n5. Substitute f = n + 5 to b, which gives b = n + 65.\n6. Substitute n = 19 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 9195,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 19; d = k + 4; u = n + 20; n = 19; j = d + 5; e = j + 20; g = z + 12; b = e + 12; r = w + 8; q = u + 3; z = r + 17; f = n + 5; w = q + 14. If n = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 2", "s": "c + 10", "t": "s + 11", "i": "t + 17", "n": "i + 2", "q": "n + 20", "m": "f + 4", "v": "m + 1", "d": "v + 6", "o": "d + 6", "w": "o + 13", "z": "w + 20", "f": 3}, "premises": {"f": 3}, "target": "q"}, "answer": {"steps": [["n", "i + 2", "i + 22"], ["i", "t + 17", "t + 39"], ["t", "s + 11", "s + 50"], ["s", "c + 10", "c + 60"], ["c", "f + 2", "f + 62"], ["f", 3, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"f": 3}, "is_reverse": true}} | 9,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 6; w = o + 13; n = i + 2; v = m + 1; i = t + 17; o = d + 6; q = n + 20; t = s + 11; z = w + 20; c = f + 2; s = c + 10; f = 3; m = f + 4. If f = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 2 to q, which gives q = i + 22.\n2. Substitute i = t + 17 to q, which gives q = t + 39.\n3. Substitute t = s + 11 to q, which gives q = s + 50.\n4. Substitute s = c + 10 to q, which gives q = c + 60.\n5. Substitute c = f + 2 to q, which gives q = f + 62.\n6. Substitute f = 3 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 9196,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 6; w = o + 13; n = i + 2; v = m + 1; i = t + 17; o = d + 6; q = n + 20; t = s + 11; z = w + 20; c = f + 2; s = c + 10; f = 3; m = f + 4. If f = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 12", "i": "j + 16", "v": "i + 7", "l": "v + 11", "s": "l + 19", "n": "s + 3", "x": "e + 1", "g": "x + 16", "a": "g + 2", "y": "a + 19", "u": "y + 3", "b": "u + 18", "e": 6}, "premises": {"e": 6}, "target": "n"}, "answer": {"steps": [["s", "l + 19", "l + 22"], ["l", "v + 11", "v + 33"], ["v", "i + 7", "i + 40"], ["i", "j + 16", "j + 56"], ["j", "e + 12", "e + 68"], ["e", 6, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"e": 6}, "is_reverse": true}} | 9,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 18; i = j + 16; j = e + 12; l = v + 11; u = y + 3; v = i + 7; s = l + 19; a = g + 2; g = x + 16; x = e + 1; y = a + 19; n = s + 3; e = 6. If e = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 19 to n, which gives n = l + 22.\n2. Substitute l = v + 11 to n, which gives n = v + 33.\n3. Substitute v = i + 7 to n, which gives n = i + 40.\n4. Substitute i = j + 16 to n, which gives n = j + 56.\n5. Substitute j = e + 12 to n, which gives n = e + 68.\n6. Substitute e = 6 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 9197,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 18; i = j + 16; j = e + 12; l = v + 11; u = y + 3; v = i + 7; s = l + 19; a = g + 2; g = x + 16; x = e + 1; y = a + 19; n = s + 3; e = 6. If e = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 14", "e": "a + 8", "t": "e + 8", "j": "t + 9", "k": "j + 5", "i": "k + 19", "n": "b + 12", "u": "n + 20", "r": "u + 7", "o": "r + 3", "p": "o + 12", "d": "p + 11", "b": 3}, "premises": {"b": 3}, "target": "i"}, "answer": {"steps": [["k", "j + 5", "j + 24"], ["j", "t + 9", "t + 33"], ["t", "e + 8", "e + 41"], ["e", "a + 8", "a + 49"], ["a", "b + 14", "b + 63"], ["b", 3, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"b": 3}, "is_reverse": true}} | 9,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 9; i = k + 19; b = 3; n = b + 12; d = p + 11; o = r + 3; u = n + 20; e = a + 8; k = j + 5; t = e + 8; a = b + 14; r = u + 7; p = o + 12. Given that b = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 5 to i, which gives i = j + 24.\n2. Substitute j = t + 9 to i, which gives i = t + 33.\n3. Substitute t = e + 8 to i, which gives i = e + 41.\n4. Substitute e = a + 8 to i, which gives i = a + 49.\n5. Substitute a = b + 14 to i, which gives i = b + 63.\n6. Substitute b = 3 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 9198,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 9; i = k + 19; b = 3; n = b + 12; d = p + 11; o = r + 3; u = n + 20; e = a + 8; k = j + 5; t = e + 8; a = b + 14; r = u + 7; p = o + 12. Given that b = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 9", "y": "n + 5", "o": "y + 7", "p": "o + 18", "r": "p + 14", "f": "r + 19", "s": "w + 6", "g": "s + 16", "l": "g + 7", "u": "l + 10", "m": "u + 16", "q": "m + 10", "w": 8}, "premises": {"w": 8}, "target": "f"}, "answer": {"steps": [["r", "p + 14", "p + 33"], ["p", "o + 18", "o + 51"], ["o", "y + 7", "y + 58"], ["y", "n + 5", "n + 63"], ["n", "w + 9", "w + 72"], ["w", 8, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"w": 8}, "is_reverse": true}} | 9,199 | 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 = s + 16; w = 8; y = n + 5; l = g + 7; p = o + 18; u = l + 10; r = p + 14; q = m + 10; m = u + 16; n = w + 9; o = y + 7; f = r + 19; s = w + 6. If w = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 14 to f, which gives f = p + 33.\n2. Substitute p = o + 18 to f, which gives f = o + 51.\n3. Substitute o = y + 7 to f, which gives f = y + 58.\n4. Substitute y = n + 5 to f, which gives f = n + 63.\n5. Substitute n = w + 9 to f, which gives f = w + 72.\n6. Substitute w = 8 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 9199,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 16; w = 8; y = n + 5; l = g + 7; p = o + 18; u = l + 10; r = p + 14; q = m + 10; m = u + 16; n = w + 9; o = y + 7; f = r + 19; s = w + 6. If w = 8, what is the resulting value of f?",
"split": "train"
} |
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