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": {"q": "r + 19", "c": "q + 8", "k": "c + 4", "w": "k + 12", "u": "w + 16", "s": "u + 8", "j": "r + 18", "e": "j + 3", "v": "e + 2", "y": "v + 7", "l": "y + 10", "b": "l + 20", "r": 17}, "premises": {"r": 17}, "target": "s"}, "answer": {"steps": [["u", "w + 16", "w + 24"], ["w", "k + 12", "k + 36"], ["k", "c + 4", "c + 40"], ["c", "q + 8", "q + 48"], ["q", "r + 19", "r + 67"], ["r", 17, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"r": 17}, "is_reverse": true}} | 9,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = u + 8; w = k + 12; j = r + 18; v = e + 2; e = j + 3; b = l + 20; l = y + 10; q = r + 19; c = q + 8; y = v + 7; r = 17; k = c + 4; u = w + 16. If r = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 16 to s, which gives s = w + 24.\n2. Substitute w = k + 12 to s, which gives s = k + 36.\n3. Substitute k = c + 4 to s, which gives s = c + 40.\n4. Substitute c = q + 8 to s, which gives s = q + 48.\n5. Substitute q = r + 19 to s, which gives s = r + 67.\n6. Substitute r = 17 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 9400,
"question": "Consider a system of variables where each variable is defined as follows: s = u + 8; w = k + 12; j = r + 18; v = e + 2; e = j + 3; b = l + 20; l = y + 10; q = r + 19; c = q + 8; y = v + 7; r = 17; k = c + 4; u = w + 16. If r = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 2", "r": "f + 4", "q": "r + 5", "c": "q + 20", "m": "c + 17", "u": "m + 6", "o": "w + 13", "v": "o + 14", "h": "v + 11", "t": "h + 16", "b": "t + 7", "x": "b + 5", "w": 8}, "premises": {"w": 8}, "target": "u"}, "answer": {"steps": [["m", "c + 17", "c + 23"], ["c", "q + 20", "q + 43"], ["q", "r + 5", "r + 48"], ["r", "f + 4", "f + 52"], ["f", "w + 2", "w + 54"], ["w", 8, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"w": 8}, "is_reverse": true}} | 9,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 11; u = m + 6; m = c + 17; q = r + 5; r = f + 4; o = w + 13; v = o + 14; t = h + 16; b = t + 7; w = 8; f = w + 2; x = b + 5; c = q + 20. If w = 8, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 17 to u, which gives u = c + 23.\n2. Substitute c = q + 20 to u, which gives u = q + 43.\n3. Substitute q = r + 5 to u, which gives u = r + 48.\n4. Substitute r = f + 4 to u, which gives u = f + 52.\n5. Substitute f = w + 2 to u, which gives u = w + 54.\n6. Substitute w = 8 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 9401,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 11; u = m + 6; m = c + 17; q = r + 5; r = f + 4; o = w + 13; v = o + 14; t = h + 16; b = t + 7; w = 8; f = w + 2; x = b + 5; c = q + 20. If w = 8, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 7", "x": "u + 16", "f": "x + 4", "n": "f + 3", "w": "n + 13", "m": "w + 2", "r": "c + 16", "a": "r + 1", "p": "a + 9", "e": "p + 5", "h": "e + 10", "l": "h + 18", "c": 16}, "premises": {"c": 16}, "target": "m"}, "answer": {"steps": [["w", "n + 13", "n + 15"], ["n", "f + 3", "f + 18"], ["f", "x + 4", "x + 22"], ["x", "u + 16", "u + 38"], ["u", "c + 7", "c + 45"], ["c", 16, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"c": 16}, "is_reverse": true}} | 9,402 | 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 = x + 4; n = f + 3; e = p + 5; l = h + 18; r = c + 16; p = a + 9; w = n + 13; h = e + 10; x = u + 16; m = w + 2; u = c + 7; a = r + 1; c = 16. If c = 16, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 13 to m, which gives m = n + 15.\n2. Substitute n = f + 3 to m, which gives m = f + 18.\n3. Substitute f = x + 4 to m, which gives m = x + 22.\n4. Substitute x = u + 16 to m, which gives m = u + 38.\n5. Substitute u = c + 7 to m, which gives m = c + 45.\n6. Substitute c = 16 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 9402,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 4; n = f + 3; e = p + 5; l = h + 18; r = c + 16; p = a + 9; w = n + 13; h = e + 10; x = u + 16; m = w + 2; u = c + 7; a = r + 1; c = 16. If c = 16, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 14", "o": "g + 7", "r": "o + 5", "k": "r + 1", "l": "k + 6", "p": "l + 3", "t": "i + 4", "b": "t + 5", "c": "b + 2", "a": "c + 1", "q": "a + 5", "n": "q + 10", "i": 18}, "premises": {"i": 18}, "target": "p"}, "answer": {"steps": [["l", "k + 6", "k + 9"], ["k", "r + 1", "r + 10"], ["r", "o + 5", "o + 15"], ["o", "g + 7", "g + 22"], ["g", "i + 14", "i + 36"], ["i", 18, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"i": 18}, "is_reverse": true}} | 9,403 | 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 = g + 7; p = l + 3; c = b + 2; b = t + 5; g = i + 14; i = 18; t = i + 4; k = r + 1; r = o + 5; l = k + 6; a = c + 1; n = q + 10; q = a + 5. If i = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 6 to p, which gives p = k + 9.\n2. Substitute k = r + 1 to p, which gives p = r + 10.\n3. Substitute r = o + 5 to p, which gives p = o + 15.\n4. Substitute o = g + 7 to p, which gives p = g + 22.\n5. Substitute g = i + 14 to p, which gives p = i + 36.\n6. Substitute i = 18 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 9403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 7; p = l + 3; c = b + 2; b = t + 5; g = i + 14; i = 18; t = i + 4; k = r + 1; r = o + 5; l = k + 6; a = c + 1; n = q + 10; q = a + 5. If i = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 8", "f": "s + 5", "q": "f + 6", "m": "q + 18", "k": "m + 3", "y": "k + 4", "w": "e + 15", "g": "w + 19", "u": "g + 19", "l": "u + 13", "c": "l + 5", "v": "c + 11", "e": 18}, "premises": {"e": 18}, "target": "y"}, "answer": {"steps": [["k", "m + 3", "m + 7"], ["m", "q + 18", "q + 25"], ["q", "f + 6", "f + 31"], ["f", "s + 5", "s + 36"], ["s", "e + 8", "e + 44"], ["e", 18, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"e": 18}, "is_reverse": true}} | 9,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 6; f = s + 5; y = k + 4; u = g + 19; e = 18; s = e + 8; g = w + 19; m = q + 18; c = l + 5; l = u + 13; k = m + 3; w = e + 15; v = c + 11. If e = 18, 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 k = m + 3 to y, which gives y = m + 7.\n2. Substitute m = q + 18 to y, which gives y = q + 25.\n3. Substitute q = f + 6 to y, which gives y = f + 31.\n4. Substitute f = s + 5 to y, which gives y = s + 36.\n5. Substitute s = e + 8 to y, which gives y = e + 44.\n6. Substitute e = 18 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 9404,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = f + 6; f = s + 5; y = k + 4; u = g + 19; e = 18; s = e + 8; g = w + 19; m = q + 18; c = l + 5; l = u + 13; k = m + 3; w = e + 15; v = c + 11. If e = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 5", "h": "k + 9", "w": "h + 14", "c": "w + 15", "l": "c + 17", "v": "l + 16", "o": "d + 9", "n": "o + 15", "g": "n + 20", "i": "g + 16", "b": "i + 1", "p": "b + 19", "d": 9}, "premises": {"d": 9}, "target": "v"}, "answer": {"steps": [["l", "c + 17", "c + 33"], ["c", "w + 15", "w + 48"], ["w", "h + 14", "h + 62"], ["h", "k + 9", "k + 71"], ["k", "d + 5", "d + 76"], ["d", 9, "85"]], "target_var_name": "v", "target_value": 85, "value_dict": {"d": 9}, "is_reverse": true}} | 9,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = o + 15; k = d + 5; h = k + 9; c = w + 15; w = h + 14; o = d + 9; g = n + 20; l = c + 17; d = 9; v = l + 16; b = i + 1; p = b + 19; i = g + 16. Given that d = 9, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 17 to v, which gives v = c + 33.\n2. Substitute c = w + 15 to v, which gives v = w + 48.\n3. Substitute w = h + 14 to v, which gives v = h + 62.\n4. Substitute h = k + 9 to v, which gives v = k + 71.\n5. Substitute k = d + 5 to v, which gives v = d + 76.\n6. Substitute d = 9 to v, which gives v = 85.\n\nThus, the final answer is v = \\boxed{85}.",
"index": 9405,
"question": "Suppose a collection of variables is related by the following definitions: n = o + 15; k = d + 5; h = k + 9; c = w + 15; w = h + 14; o = d + 9; g = n + 20; l = c + 17; d = 9; v = l + 16; b = i + 1; p = b + 19; i = g + 16. Given that d = 9, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 15", "e": "p + 2", "l": "e + 9", "v": "l + 10", "z": "v + 1", "x": "z + 18", "a": "n + 15", "i": "a + 8", "m": "i + 17", "q": "m + 2", "s": "q + 17", "j": "s + 12", "n": 12}, "premises": {"n": 12}, "target": "x"}, "answer": {"steps": [["z", "v + 1", "v + 19"], ["v", "l + 10", "l + 29"], ["l", "e + 9", "e + 38"], ["e", "p + 2", "p + 40"], ["p", "n + 15", "n + 55"], ["n", 12, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"n": 12}, "is_reverse": true}} | 9,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = 12; v = l + 10; m = i + 17; x = z + 18; i = a + 8; j = s + 12; q = m + 2; p = n + 15; e = p + 2; a = n + 15; l = e + 9; s = q + 17; z = v + 1. Given that n = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 1 to x, which gives x = v + 19.\n2. Substitute v = l + 10 to x, which gives x = l + 29.\n3. Substitute l = e + 9 to x, which gives x = e + 38.\n4. Substitute e = p + 2 to x, which gives x = p + 40.\n5. Substitute p = n + 15 to x, which gives x = n + 55.\n6. Substitute n = 12 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 9406,
"question": "Suppose a collection of variables is related by the following definitions: n = 12; v = l + 10; m = i + 17; x = z + 18; i = a + 8; j = s + 12; q = m + 2; p = n + 15; e = p + 2; a = n + 15; l = e + 9; s = q + 17; z = v + 1. Given that n = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 12", "g": "i + 10", "d": "g + 20", "s": "d + 9", "t": "s + 4", "w": "t + 3", "c": "b + 19", "a": "c + 17", "u": "a + 4", "l": "u + 13", "v": "l + 1", "o": "v + 1", "b": 13}, "premises": {"b": 13}, "target": "w"}, "answer": {"steps": [["t", "s + 4", "s + 7"], ["s", "d + 9", "d + 16"], ["d", "g + 20", "g + 36"], ["g", "i + 10", "i + 46"], ["i", "b + 12", "b + 58"], ["b", 13, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"b": 13}, "is_reverse": true}} | 9,407 | 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 = i + 10; v = l + 1; l = u + 13; b = 13; s = d + 9; w = t + 3; d = g + 20; a = c + 17; c = b + 19; i = b + 12; u = a + 4; o = v + 1; t = s + 4. If b = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 4 to w, which gives w = s + 7.\n2. Substitute s = d + 9 to w, which gives w = d + 16.\n3. Substitute d = g + 20 to w, which gives w = g + 36.\n4. Substitute g = i + 10 to w, which gives w = i + 46.\n5. Substitute i = b + 12 to w, which gives w = b + 58.\n6. Substitute b = 13 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 9407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 10; v = l + 1; l = u + 13; b = 13; s = d + 9; w = t + 3; d = g + 20; a = c + 17; c = b + 19; i = b + 12; u = a + 4; o = v + 1; t = s + 4. If b = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 11", "k": "c + 20", "l": "k + 1", "x": "l + 6", "e": "x + 8", "t": "e + 13", "u": "a + 5", "o": "u + 8", "n": "o + 6", "y": "n + 7", "h": "y + 10", "s": "h + 6", "a": 12}, "premises": {"a": 12}, "target": "t"}, "answer": {"steps": [["e", "x + 8", "x + 21"], ["x", "l + 6", "l + 27"], ["l", "k + 1", "k + 28"], ["k", "c + 20", "c + 48"], ["c", "a + 11", "a + 59"], ["a", 12, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"a": 12}, "is_reverse": true}} | 9,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 10; a = 12; t = e + 13; s = h + 6; l = k + 1; o = u + 8; x = l + 6; n = o + 6; e = x + 8; y = n + 7; u = a + 5; k = c + 20; c = a + 11. Given that a = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 8 to t, which gives t = x + 21.\n2. Substitute x = l + 6 to t, which gives t = l + 27.\n3. Substitute l = k + 1 to t, which gives t = k + 28.\n4. Substitute k = c + 20 to t, which gives t = c + 48.\n5. Substitute c = a + 11 to t, which gives t = a + 59.\n6. Substitute a = 12 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 9408,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 10; a = 12; t = e + 13; s = h + 6; l = k + 1; o = u + 8; x = l + 6; n = o + 6; e = x + 8; y = n + 7; u = a + 5; k = c + 20; c = a + 11. Given that a = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 18", "z": "r + 5", "i": "z + 7", "n": "i + 8", "o": "n + 10", "v": "o + 15", "k": "x + 7", "w": "k + 19", "b": "w + 4", "u": "b + 19", "s": "u + 5", "d": "s + 2", "x": 14}, "premises": {"x": 14}, "target": "v"}, "answer": {"steps": [["o", "n + 10", "n + 25"], ["n", "i + 8", "i + 33"], ["i", "z + 7", "z + 40"], ["z", "r + 5", "r + 45"], ["r", "x + 18", "x + 63"], ["x", 14, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"x": 14}, "is_reverse": true}} | 9,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 10; k = x + 7; v = o + 15; n = i + 8; r = x + 18; s = u + 5; b = w + 4; z = r + 5; u = b + 19; x = 14; d = s + 2; w = k + 19; i = z + 7. If x = 14, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 10 to v, which gives v = n + 25.\n2. Substitute n = i + 8 to v, which gives v = i + 33.\n3. Substitute i = z + 7 to v, which gives v = z + 40.\n4. Substitute z = r + 5 to v, which gives v = r + 45.\n5. Substitute r = x + 18 to v, which gives v = x + 63.\n6. Substitute x = 14 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 9409,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 10; k = x + 7; v = o + 15; n = i + 8; r = x + 18; s = u + 5; b = w + 4; z = r + 5; u = b + 19; x = 14; d = s + 2; w = k + 19; i = z + 7. If x = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 18", "s": "n + 4", "z": "s + 13", "o": "z + 8", "u": "o + 5", "i": "u + 2", "d": "e + 14", "w": "d + 9", "y": "w + 7", "j": "y + 1", "t": "j + 9", "v": "t + 10", "e": 8}, "premises": {"e": 8}, "target": "i"}, "answer": {"steps": [["u", "o + 5", "o + 7"], ["o", "z + 8", "z + 15"], ["z", "s + 13", "s + 28"], ["s", "n + 4", "n + 32"], ["n", "e + 18", "e + 50"], ["e", 8, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"e": 8}, "is_reverse": true}} | 9,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 9; s = n + 4; i = u + 2; j = y + 1; y = w + 7; v = t + 10; n = e + 18; u = o + 5; z = s + 13; e = 8; o = z + 8; w = d + 9; d = e + 14. If e = 8, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 5 to i, which gives i = o + 7.\n2. Substitute o = z + 8 to i, which gives i = z + 15.\n3. Substitute z = s + 13 to i, which gives i = s + 28.\n4. Substitute s = n + 4 to i, which gives i = n + 32.\n5. Substitute n = e + 18 to i, which gives i = e + 50.\n6. Substitute e = 8 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 9410,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 9; s = n + 4; i = u + 2; j = y + 1; y = w + 7; v = t + 10; n = e + 18; u = o + 5; z = s + 13; e = 8; o = z + 8; w = d + 9; d = e + 14. If e = 8, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 5", "s": "t + 7", "n": "s + 2", "w": "n + 20", "k": "w + 3", "x": "k + 14", "e": "a + 18", "b": "e + 13", "o": "b + 16", "c": "o + 13", "q": "c + 1", "g": "q + 2", "a": 19}, "premises": {"a": 19}, "target": "x"}, "answer": {"steps": [["k", "w + 3", "w + 17"], ["w", "n + 20", "n + 37"], ["n", "s + 2", "s + 39"], ["s", "t + 7", "t + 46"], ["t", "a + 5", "a + 51"], ["a", 19, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"a": 19}, "is_reverse": true}} | 9,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = c + 1; k = w + 3; g = q + 2; c = o + 13; o = b + 16; w = n + 20; x = k + 14; n = s + 2; a = 19; t = a + 5; b = e + 13; e = a + 18; s = t + 7. Given that a = 19, 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 k = w + 3 to x, which gives x = w + 17.\n2. Substitute w = n + 20 to x, which gives x = n + 37.\n3. Substitute n = s + 2 to x, which gives x = s + 39.\n4. Substitute s = t + 7 to x, which gives x = t + 46.\n5. Substitute t = a + 5 to x, which gives x = a + 51.\n6. Substitute a = 19 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 9411,
"question": "Suppose a collection of variables is related by the following definitions: q = c + 1; k = w + 3; g = q + 2; c = o + 13; o = b + 16; w = n + 20; x = k + 14; n = s + 2; a = 19; t = a + 5; b = e + 13; e = a + 18; s = t + 7. Given that a = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 7", "y": "x + 1", "p": "y + 8", "d": "p + 14", "n": "d + 13", "z": "n + 4", "u": "h + 13", "r": "u + 3", "s": "r + 14", "a": "s + 18", "j": "a + 12", "b": "j + 13", "h": 20}, "premises": {"h": 20}, "target": "z"}, "answer": {"steps": [["n", "d + 13", "d + 17"], ["d", "p + 14", "p + 31"], ["p", "y + 8", "y + 39"], ["y", "x + 1", "x + 40"], ["x", "h + 7", "h + 47"], ["h", 20, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"h": 20}, "is_reverse": true}} | 9,412 | 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 = 20; d = p + 14; z = n + 4; p = y + 8; j = a + 12; n = d + 13; y = x + 1; r = u + 3; x = h + 7; a = s + 18; s = r + 14; b = j + 13; u = h + 13. If h = 20, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 13 to z, which gives z = d + 17.\n2. Substitute d = p + 14 to z, which gives z = p + 31.\n3. Substitute p = y + 8 to z, which gives z = y + 39.\n4. Substitute y = x + 1 to z, which gives z = x + 40.\n5. Substitute x = h + 7 to z, which gives z = h + 47.\n6. Substitute h = 20 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 9412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 20; d = p + 14; z = n + 4; p = y + 8; j = a + 12; n = d + 13; y = x + 1; r = u + 3; x = h + 7; a = s + 18; s = r + 14; b = j + 13; u = h + 13. If h = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 10", "v": "b + 3", "c": "v + 3", "p": "c + 10", "u": "p + 1", "f": "u + 16", "a": "i + 14", "t": "a + 4", "x": "t + 4", "l": "x + 2", "q": "l + 19", "k": "q + 9", "i": 15}, "premises": {"i": 15}, "target": "f"}, "answer": {"steps": [["u", "p + 1", "p + 17"], ["p", "c + 10", "c + 27"], ["c", "v + 3", "v + 30"], ["v", "b + 3", "b + 33"], ["b", "i + 10", "i + 43"], ["i", 15, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"i": 15}, "is_reverse": true}} | 9,413 | 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 = l + 19; t = a + 4; a = i + 14; l = x + 2; p = c + 10; i = 15; x = t + 4; v = b + 3; c = v + 3; k = q + 9; f = u + 16; b = i + 10; u = p + 1. If i = 15, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 1 to f, which gives f = p + 17.\n2. Substitute p = c + 10 to f, which gives f = c + 27.\n3. Substitute c = v + 3 to f, which gives f = v + 30.\n4. Substitute v = b + 3 to f, which gives f = b + 33.\n5. Substitute b = i + 10 to f, which gives f = i + 43.\n6. Substitute i = 15 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 9413,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 19; t = a + 4; a = i + 14; l = x + 2; p = c + 10; i = 15; x = t + 4; v = b + 3; c = v + 3; k = q + 9; f = u + 16; b = i + 10; u = p + 1. If i = 15, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 16", "x": "f + 1", "m": "x + 20", "r": "m + 5", "i": "r + 1", "z": "i + 13", "t": "h + 11", "c": "t + 1", "b": "c + 12", "p": "b + 2", "u": "p + 19", "j": "u + 13", "h": 6}, "premises": {"h": 6}, "target": "z"}, "answer": {"steps": [["i", "r + 1", "r + 14"], ["r", "m + 5", "m + 19"], ["m", "x + 20", "x + 39"], ["x", "f + 1", "f + 40"], ["f", "h + 16", "h + 56"], ["h", 6, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"h": 6}, "is_reverse": true}} | 9,414 | 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 = t + 1; h = 6; z = i + 13; r = m + 5; x = f + 1; u = p + 19; f = h + 16; t = h + 11; i = r + 1; m = x + 20; j = u + 13; b = c + 12; p = b + 2. If h = 6, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 1 to z, which gives z = r + 14.\n2. Substitute r = m + 5 to z, which gives z = m + 19.\n3. Substitute m = x + 20 to z, which gives z = x + 39.\n4. Substitute x = f + 1 to z, which gives z = f + 40.\n5. Substitute f = h + 16 to z, which gives z = h + 56.\n6. Substitute h = 6 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 9414,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 1; h = 6; z = i + 13; r = m + 5; x = f + 1; u = p + 19; f = h + 16; t = h + 11; i = r + 1; m = x + 20; j = u + 13; b = c + 12; p = b + 2. If h = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 7", "l": "j + 16", "k": "l + 15", "n": "k + 20", "x": "n + 15", "a": "x + 8", "h": "c + 6", "w": "h + 14", "v": "w + 18", "g": "v + 16", "m": "g + 4", "q": "m + 8", "c": 17}, "premises": {"c": 17}, "target": "a"}, "answer": {"steps": [["x", "n + 15", "n + 23"], ["n", "k + 20", "k + 43"], ["k", "l + 15", "l + 58"], ["l", "j + 16", "j + 74"], ["j", "c + 7", "c + 81"], ["c", 17, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"c": 17}, "is_reverse": true}} | 9,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 7; h = c + 6; c = 17; w = h + 14; a = x + 8; l = j + 16; g = v + 16; v = w + 18; k = l + 15; n = k + 20; q = m + 8; m = g + 4; x = n + 15. If c = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 15 to a, which gives a = n + 23.\n2. Substitute n = k + 20 to a, which gives a = k + 43.\n3. Substitute k = l + 15 to a, which gives a = l + 58.\n4. Substitute l = j + 16 to a, which gives a = j + 74.\n5. Substitute j = c + 7 to a, which gives a = c + 81.\n6. Substitute c = 17 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 9415,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 7; h = c + 6; c = 17; w = h + 14; a = x + 8; l = j + 16; g = v + 16; v = w + 18; k = l + 15; n = k + 20; q = m + 8; m = g + 4; x = n + 15. If c = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 2", "o": "m + 14", "g": "o + 1", "k": "g + 4", "h": "k + 7", "l": "h + 10", "a": "r + 9", "u": "a + 9", "i": "u + 14", "s": "i + 9", "q": "s + 6", "p": "q + 3", "r": 17}, "premises": {"r": 17}, "target": "l"}, "answer": {"steps": [["h", "k + 7", "k + 17"], ["k", "g + 4", "g + 21"], ["g", "o + 1", "o + 22"], ["o", "m + 14", "m + 36"], ["m", "r + 2", "r + 38"], ["r", 17, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"r": 17}, "is_reverse": true}} | 9,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 1; k = g + 4; l = h + 10; u = a + 9; h = k + 7; r = 17; p = q + 3; q = s + 6; m = r + 2; i = u + 14; o = m + 14; s = i + 9; a = r + 9. Given that r = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 7 to l, which gives l = k + 17.\n2. Substitute k = g + 4 to l, which gives l = g + 21.\n3. Substitute g = o + 1 to l, which gives l = o + 22.\n4. Substitute o = m + 14 to l, which gives l = m + 36.\n5. Substitute m = r + 2 to l, which gives l = r + 38.\n6. Substitute r = 17 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 9416,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 1; k = g + 4; l = h + 10; u = a + 9; h = k + 7; r = 17; p = q + 3; q = s + 6; m = r + 2; i = u + 14; o = m + 14; s = i + 9; a = r + 9. Given that r = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 19", "r": "s + 1", "j": "r + 5", "n": "j + 14", "y": "n + 5", "g": "y + 19", "b": "f + 7", "x": "b + 10", "z": "x + 17", "d": "z + 9", "q": "d + 16", "t": "q + 9", "f": 16}, "premises": {"f": 16}, "target": "g"}, "answer": {"steps": [["y", "n + 5", "n + 24"], ["n", "j + 14", "j + 38"], ["j", "r + 5", "r + 43"], ["r", "s + 1", "s + 44"], ["s", "f + 19", "f + 63"], ["f", 16, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"f": 16}, "is_reverse": true}} | 9,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 7; n = j + 14; y = n + 5; j = r + 5; s = f + 19; d = z + 9; q = d + 16; g = y + 19; f = 16; r = s + 1; x = b + 10; z = x + 17; t = q + 9. If f = 16, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 5 to g, which gives g = n + 24.\n2. Substitute n = j + 14 to g, which gives g = j + 38.\n3. Substitute j = r + 5 to g, which gives g = r + 43.\n4. Substitute r = s + 1 to g, which gives g = s + 44.\n5. Substitute s = f + 19 to g, which gives g = f + 63.\n6. Substitute f = 16 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 9417,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 7; n = j + 14; y = n + 5; j = r + 5; s = f + 19; d = z + 9; q = d + 16; g = y + 19; f = 16; r = s + 1; x = b + 10; z = x + 17; t = q + 9. If f = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 17", "a": "b + 9", "x": "a + 9", "e": "x + 13", "s": "e + 16", "v": "s + 10", "r": "m + 5", "d": "r + 14", "i": "d + 1", "k": "i + 2", "c": "k + 13", "z": "c + 2", "m": 1}, "premises": {"m": 1}, "target": "v"}, "answer": {"steps": [["s", "e + 16", "e + 26"], ["e", "x + 13", "x + 39"], ["x", "a + 9", "a + 48"], ["a", "b + 9", "b + 57"], ["b", "m + 17", "m + 74"], ["m", 1, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"m": 1}, "is_reverse": true}} | 9,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 9; c = k + 13; i = d + 1; d = r + 14; a = b + 9; m = 1; b = m + 17; s = e + 16; z = c + 2; k = i + 2; v = s + 10; r = m + 5; e = x + 13. If m = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 16 to v, which gives v = e + 26.\n2. Substitute e = x + 13 to v, which gives v = x + 39.\n3. Substitute x = a + 9 to v, which gives v = a + 48.\n4. Substitute a = b + 9 to v, which gives v = b + 57.\n5. Substitute b = m + 17 to v, which gives v = m + 74.\n6. Substitute m = 1 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 9418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 9; c = k + 13; i = d + 1; d = r + 14; a = b + 9; m = 1; b = m + 17; s = e + 16; z = c + 2; k = i + 2; v = s + 10; r = m + 5; e = x + 13. If m = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 4", "q": "n + 8", "j": "q + 6", "w": "j + 4", "z": "w + 15", "r": "z + 9", "g": "b + 13", "v": "g + 20", "c": "v + 3", "s": "c + 18", "y": "s + 11", "m": "y + 6", "b": 15}, "premises": {"b": 15}, "target": "r"}, "answer": {"steps": [["z", "w + 15", "w + 24"], ["w", "j + 4", "j + 28"], ["j", "q + 6", "q + 34"], ["q", "n + 8", "n + 42"], ["n", "b + 4", "b + 46"], ["b", 15, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"b": 15}, "is_reverse": true}} | 9,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = b + 13; b = 15; w = j + 4; y = s + 11; z = w + 15; v = g + 20; m = y + 6; r = z + 9; n = b + 4; j = q + 6; c = v + 3; s = c + 18; q = n + 8. Given that b = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 15 to r, which gives r = w + 24.\n2. Substitute w = j + 4 to r, which gives r = j + 28.\n3. Substitute j = q + 6 to r, which gives r = q + 34.\n4. Substitute q = n + 8 to r, which gives r = n + 42.\n5. Substitute n = b + 4 to r, which gives r = b + 46.\n6. Substitute b = 15 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 9419,
"question": "Suppose a collection of variables is related by the following definitions: g = b + 13; b = 15; w = j + 4; y = s + 11; z = w + 15; v = g + 20; m = y + 6; r = z + 9; n = b + 4; j = q + 6; c = v + 3; s = c + 18; q = n + 8. Given that b = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 18", "t": "c + 18", "y": "t + 14", "w": "y + 12", "v": "w + 2", "u": "v + 2", "g": "h + 18", "j": "g + 14", "b": "j + 11", "x": "b + 12", "e": "x + 3", "q": "e + 3", "h": 17}, "premises": {"h": 17}, "target": "u"}, "answer": {"steps": [["v", "w + 2", "w + 4"], ["w", "y + 12", "y + 16"], ["y", "t + 14", "t + 30"], ["t", "c + 18", "c + 48"], ["c", "h + 18", "h + 66"], ["h", 17, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"h": 17}, "is_reverse": true}} | 9,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 12; g = h + 18; v = w + 2; q = e + 3; w = y + 12; b = j + 11; c = h + 18; t = c + 18; e = x + 3; h = 17; y = t + 14; u = v + 2; j = g + 14. Given that h = 17, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 2 to u, which gives u = w + 4.\n2. Substitute w = y + 12 to u, which gives u = y + 16.\n3. Substitute y = t + 14 to u, which gives u = t + 30.\n4. Substitute t = c + 18 to u, which gives u = c + 48.\n5. Substitute c = h + 18 to u, which gives u = h + 66.\n6. Substitute h = 17 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 9420,
"question": "Suppose a collection of variables is related by the following definitions: x = b + 12; g = h + 18; v = w + 2; q = e + 3; w = y + 12; b = j + 11; c = h + 18; t = c + 18; e = x + 3; h = 17; y = t + 14; u = v + 2; j = g + 14. Given that h = 17, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 14", "a": "v + 18", "h": "a + 10", "f": "h + 17", "r": "f + 13", "c": "r + 16", "s": "j + 18", "e": "s + 10", "d": "e + 17", "l": "d + 7", "g": "l + 2", "t": "g + 20", "j": 2}, "premises": {"j": 2}, "target": "c"}, "answer": {"steps": [["r", "f + 13", "f + 29"], ["f", "h + 17", "h + 46"], ["h", "a + 10", "a + 56"], ["a", "v + 18", "v + 74"], ["v", "j + 14", "j + 88"], ["j", 2, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"j": 2}, "is_reverse": true}} | 9,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 7; g = l + 2; a = v + 18; r = f + 13; j = 2; c = r + 16; e = s + 10; f = h + 17; v = j + 14; h = a + 10; t = g + 20; s = j + 18; d = e + 17. If j = 2, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 13 to c, which gives c = f + 29.\n2. Substitute f = h + 17 to c, which gives c = h + 46.\n3. Substitute h = a + 10 to c, which gives c = a + 56.\n4. Substitute a = v + 18 to c, which gives c = v + 74.\n5. Substitute v = j + 14 to c, which gives c = j + 88.\n6. Substitute j = 2 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 9421,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 7; g = l + 2; a = v + 18; r = f + 13; j = 2; c = r + 16; e = s + 10; f = h + 17; v = j + 14; h = a + 10; t = g + 20; s = j + 18; d = e + 17. If j = 2, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 14", "k": "p + 5", "q": "k + 5", "i": "q + 7", "o": "i + 12", "n": "o + 5", "x": "y + 11", "g": "x + 19", "z": "g + 14", "m": "z + 20", "t": "m + 6", "e": "t + 1", "y": 4}, "premises": {"y": 4}, "target": "n"}, "answer": {"steps": [["o", "i + 12", "i + 17"], ["i", "q + 7", "q + 24"], ["q", "k + 5", "k + 29"], ["k", "p + 5", "p + 34"], ["p", "y + 14", "y + 48"], ["y", 4, "52"]], "target_var_name": "n", "target_value": 52, "value_dict": {"y": 4}, "is_reverse": true}} | 9,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 1; g = x + 19; y = 4; p = y + 14; o = i + 12; k = p + 5; m = z + 20; i = q + 7; t = m + 6; q = k + 5; x = y + 11; n = o + 5; z = g + 14. Given that y = 4, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 12 to n, which gives n = i + 17.\n2. Substitute i = q + 7 to n, which gives n = q + 24.\n3. Substitute q = k + 5 to n, which gives n = k + 29.\n4. Substitute k = p + 5 to n, which gives n = p + 34.\n5. Substitute p = y + 14 to n, which gives n = y + 48.\n6. Substitute y = 4 to n, which gives n = 52.\n\nThus, the final answer is n = \\boxed{52}.",
"index": 9422,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 1; g = x + 19; y = 4; p = y + 14; o = i + 12; k = p + 5; m = z + 20; i = q + 7; t = m + 6; q = k + 5; x = y + 11; n = o + 5; z = g + 14. Given that y = 4, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 19", "e": "g + 4", "f": "e + 3", "y": "f + 17", "r": "y + 16", "q": "r + 4", "x": "c + 19", "v": "x + 9", "u": "v + 20", "n": "u + 1", "l": "n + 6", "k": "l + 9", "c": 4}, "premises": {"c": 4}, "target": "q"}, "answer": {"steps": [["r", "y + 16", "y + 20"], ["y", "f + 17", "f + 37"], ["f", "e + 3", "e + 40"], ["e", "g + 4", "g + 44"], ["g", "c + 19", "c + 63"], ["c", 4, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"c": 4}, "is_reverse": true}} | 9,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = g + 4; q = r + 4; k = l + 9; v = x + 9; g = c + 19; l = n + 6; n = u + 1; r = y + 16; c = 4; x = c + 19; f = e + 3; y = f + 17; u = v + 20. Given that c = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 16 to q, which gives q = y + 20.\n2. Substitute y = f + 17 to q, which gives q = f + 37.\n3. Substitute f = e + 3 to q, which gives q = e + 40.\n4. Substitute e = g + 4 to q, which gives q = g + 44.\n5. Substitute g = c + 19 to q, which gives q = c + 63.\n6. Substitute c = 4 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 9423,
"question": "Suppose a collection of variables is related by the following definitions: e = g + 4; q = r + 4; k = l + 9; v = x + 9; g = c + 19; l = n + 6; n = u + 1; r = y + 16; c = 4; x = c + 19; f = e + 3; y = f + 17; u = v + 20. Given that c = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 6", "x": "k + 7", "p": "x + 13", "f": "p + 10", "e": "f + 18", "i": "e + 4", "y": "o + 9", "j": "y + 1", "v": "j + 1", "z": "v + 5", "r": "z + 4", "m": "r + 7", "o": 1}, "premises": {"o": 1}, "target": "i"}, "answer": {"steps": [["e", "f + 18", "f + 22"], ["f", "p + 10", "p + 32"], ["p", "x + 13", "x + 45"], ["x", "k + 7", "k + 52"], ["k", "o + 6", "o + 58"], ["o", 1, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"o": 1}, "is_reverse": true}} | 9,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 1; m = r + 7; f = p + 10; r = z + 4; v = j + 1; x = k + 7; z = v + 5; p = x + 13; j = y + 1; i = e + 4; e = f + 18; y = o + 9; k = o + 6. If o = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 18 to i, which gives i = f + 22.\n2. Substitute f = p + 10 to i, which gives i = p + 32.\n3. Substitute p = x + 13 to i, which gives i = x + 45.\n4. Substitute x = k + 7 to i, which gives i = k + 52.\n5. Substitute k = o + 6 to i, which gives i = o + 58.\n6. Substitute o = 1 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 9424,
"question": "Consider a system of variables where each variable is defined as follows: o = 1; m = r + 7; f = p + 10; r = z + 4; v = j + 1; x = k + 7; z = v + 5; p = x + 13; j = y + 1; i = e + 4; e = f + 18; y = o + 9; k = o + 6. If o = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 17", "c": "v + 20", "i": "c + 9", "k": "i + 4", "z": "k + 10", "d": "z + 17", "m": "q + 6", "x": "m + 20", "y": "x + 3", "a": "y + 3", "t": "a + 6", "f": "t + 3", "q": 1}, "premises": {"q": 1}, "target": "d"}, "answer": {"steps": [["z", "k + 10", "k + 27"], ["k", "i + 4", "i + 31"], ["i", "c + 9", "c + 40"], ["c", "v + 20", "v + 60"], ["v", "q + 17", "q + 77"], ["q", 1, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"q": 1}, "is_reverse": true}} | 9,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = y + 3; i = c + 9; z = k + 10; k = i + 4; t = a + 6; v = q + 17; q = 1; m = q + 6; y = x + 3; d = z + 17; x = m + 20; c = v + 20; f = t + 3. Given that q = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 10 to d, which gives d = k + 27.\n2. Substitute k = i + 4 to d, which gives d = i + 31.\n3. Substitute i = c + 9 to d, which gives d = c + 40.\n4. Substitute c = v + 20 to d, which gives d = v + 60.\n5. Substitute v = q + 17 to d, which gives d = q + 77.\n6. Substitute q = 1 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 9425,
"question": "Suppose a collection of variables is related by the following definitions: a = y + 3; i = c + 9; z = k + 10; k = i + 4; t = a + 6; v = q + 17; q = 1; m = q + 6; y = x + 3; d = z + 17; x = m + 20; c = v + 20; f = t + 3. Given that q = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 20", "j": "b + 4", "p": "j + 19", "g": "p + 9", "u": "g + 7", "n": "u + 14", "o": "t + 9", "i": "o + 12", "r": "i + 10", "q": "r + 5", "v": "q + 14", "l": "v + 11", "t": 14}, "premises": {"t": 14}, "target": "n"}, "answer": {"steps": [["u", "g + 7", "g + 21"], ["g", "p + 9", "p + 30"], ["p", "j + 19", "j + 49"], ["j", "b + 4", "b + 53"], ["b", "t + 20", "t + 73"], ["t", 14, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"t": 14}, "is_reverse": true}} | 9,426 | 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 = i + 10; t = 14; n = u + 14; j = b + 4; q = r + 5; v = q + 14; u = g + 7; i = o + 12; l = v + 11; g = p + 9; p = j + 19; o = t + 9; b = t + 20. If t = 14, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 7 to n, which gives n = g + 21.\n2. Substitute g = p + 9 to n, which gives n = p + 30.\n3. Substitute p = j + 19 to n, which gives n = j + 49.\n4. Substitute j = b + 4 to n, which gives n = b + 53.\n5. Substitute b = t + 20 to n, which gives n = t + 73.\n6. Substitute t = 14 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 9426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 10; t = 14; n = u + 14; j = b + 4; q = r + 5; v = q + 14; u = g + 7; i = o + 12; l = v + 11; g = p + 9; p = j + 19; o = t + 9; b = t + 20. If t = 14, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 13", "e": "o + 10", "s": "e + 10", "a": "s + 9", "f": "a + 11", "w": "f + 4", "m": "v + 19", "l": "m + 11", "h": "l + 18", "y": "h + 11", "n": "y + 10", "b": "n + 12", "v": 3}, "premises": {"v": 3}, "target": "w"}, "answer": {"steps": [["f", "a + 11", "a + 15"], ["a", "s + 9", "s + 24"], ["s", "e + 10", "e + 34"], ["e", "o + 10", "o + 44"], ["o", "v + 13", "v + 57"], ["v", 3, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"v": 3}, "is_reverse": true}} | 9,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = s + 9; f = a + 11; s = e + 10; b = n + 12; n = y + 10; l = m + 11; o = v + 13; y = h + 11; m = v + 19; v = 3; w = f + 4; h = l + 18; e = o + 10. Given that v = 3, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 11 to w, which gives w = a + 15.\n2. Substitute a = s + 9 to w, which gives w = s + 24.\n3. Substitute s = e + 10 to w, which gives w = e + 34.\n4. Substitute e = o + 10 to w, which gives w = o + 44.\n5. Substitute o = v + 13 to w, which gives w = v + 57.\n6. Substitute v = 3 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 9427,
"question": "Suppose a collection of variables is related by the following definitions: a = s + 9; f = a + 11; s = e + 10; b = n + 12; n = y + 10; l = m + 11; o = v + 13; y = h + 11; m = v + 19; v = 3; w = f + 4; h = l + 18; e = o + 10. Given that v = 3, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 18", "h": "m + 18", "c": "h + 9", "v": "c + 19", "x": "v + 19", "b": "x + 14", "u": "f + 7", "o": "u + 16", "p": "o + 11", "d": "p + 9", "g": "d + 14", "j": "g + 10", "f": 18}, "premises": {"f": 18}, "target": "b"}, "answer": {"steps": [["x", "v + 19", "v + 33"], ["v", "c + 19", "c + 52"], ["c", "h + 9", "h + 61"], ["h", "m + 18", "m + 79"], ["m", "f + 18", "f + 97"], ["f", 18, "115"]], "target_var_name": "b", "target_value": 115, "value_dict": {"f": 18}, "is_reverse": true}} | 9,428 | 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 = g + 10; o = u + 16; h = m + 18; c = h + 9; x = v + 19; g = d + 14; p = o + 11; f = 18; d = p + 9; m = f + 18; b = x + 14; u = f + 7; v = c + 19. If f = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 19 to b, which gives b = v + 33.\n2. Substitute v = c + 19 to b, which gives b = c + 52.\n3. Substitute c = h + 9 to b, which gives b = h + 61.\n4. Substitute h = m + 18 to b, which gives b = m + 79.\n5. Substitute m = f + 18 to b, which gives b = f + 97.\n6. Substitute f = 18 to b, which gives b = 115.\n\nThus, the final answer is b = \\boxed{115}.",
"index": 9428,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 10; o = u + 16; h = m + 18; c = h + 9; x = v + 19; g = d + 14; p = o + 11; f = 18; d = p + 9; m = f + 18; b = x + 14; u = f + 7; v = c + 19. If f = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 7", "r": "s + 8", "p": "r + 20", "n": "p + 1", "u": "n + 7", "c": "u + 3", "d": "y + 14", "k": "d + 7", "l": "k + 8", "a": "l + 20", "z": "a + 2", "b": "z + 10", "y": 1}, "premises": {"y": 1}, "target": "c"}, "answer": {"steps": [["u", "n + 7", "n + 10"], ["n", "p + 1", "p + 11"], ["p", "r + 20", "r + 31"], ["r", "s + 8", "s + 39"], ["s", "y + 7", "y + 46"], ["y", 1, "47"]], "target_var_name": "c", "target_value": 47, "value_dict": {"y": 1}, "is_reverse": true}} | 9,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 1; l = k + 8; n = p + 1; d = y + 14; z = a + 2; r = s + 8; s = y + 7; u = n + 7; b = z + 10; p = r + 20; a = l + 20; c = u + 3; k = d + 7. If y = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 7 to c, which gives c = n + 10.\n2. Substitute n = p + 1 to c, which gives c = p + 11.\n3. Substitute p = r + 20 to c, which gives c = r + 31.\n4. Substitute r = s + 8 to c, which gives c = s + 39.\n5. Substitute s = y + 7 to c, which gives c = y + 46.\n6. Substitute y = 1 to c, which gives c = 47.\n\nThus, the final answer is c = \\boxed{47}.",
"index": 9429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 1; l = k + 8; n = p + 1; d = y + 14; z = a + 2; r = s + 8; s = y + 7; u = n + 7; b = z + 10; p = r + 20; a = l + 20; c = u + 3; k = d + 7. If y = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 18", "k": "t + 8", "q": "k + 6", "n": "q + 4", "b": "n + 12", "r": "b + 5", "o": "c + 2", "e": "o + 3", "d": "e + 8", "u": "d + 3", "j": "u + 18", "g": "j + 8", "c": 10}, "premises": {"c": 10}, "target": "r"}, "answer": {"steps": [["b", "n + 12", "n + 17"], ["n", "q + 4", "q + 21"], ["q", "k + 6", "k + 27"], ["k", "t + 8", "t + 35"], ["t", "c + 18", "c + 53"], ["c", 10, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"c": 10}, "is_reverse": true}} | 9,430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 18; g = j + 8; j = u + 18; e = o + 3; q = k + 6; n = q + 4; c = 10; b = n + 12; r = b + 5; u = d + 3; k = t + 8; o = c + 2; d = e + 8. If c = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 12 to r, which gives r = n + 17.\n2. Substitute n = q + 4 to r, which gives r = q + 21.\n3. Substitute q = k + 6 to r, which gives r = k + 27.\n4. Substitute k = t + 8 to r, which gives r = t + 35.\n5. Substitute t = c + 18 to r, which gives r = c + 53.\n6. Substitute c = 10 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 9430,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 18; g = j + 8; j = u + 18; e = o + 3; q = k + 6; n = q + 4; c = 10; b = n + 12; r = b + 5; u = d + 3; k = t + 8; o = c + 2; d = e + 8. If c = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 9", "z": "r + 12", "b": "z + 11", "l": "b + 19", "e": "l + 7", "j": "e + 7", "w": "k + 20", "v": "w + 12", "o": "v + 6", "g": "o + 16", "d": "g + 19", "a": "d + 20", "k": 12}, "premises": {"k": 12}, "target": "j"}, "answer": {"steps": [["e", "l + 7", "l + 14"], ["l", "b + 19", "b + 33"], ["b", "z + 11", "z + 44"], ["z", "r + 12", "r + 56"], ["r", "k + 9", "k + 65"], ["k", 12, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"k": 12}, "is_reverse": true}} | 9,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 12; r = k + 9; w = k + 20; v = w + 12; g = o + 16; a = d + 20; d = g + 19; o = v + 6; b = z + 11; e = l + 7; z = r + 12; l = b + 19; j = e + 7. Given that k = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 7 to j, which gives j = l + 14.\n2. Substitute l = b + 19 to j, which gives j = b + 33.\n3. Substitute b = z + 11 to j, which gives j = z + 44.\n4. Substitute z = r + 12 to j, which gives j = r + 56.\n5. Substitute r = k + 9 to j, which gives j = k + 65.\n6. Substitute k = 12 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 9431,
"question": "Suppose a collection of variables is related by the following definitions: k = 12; r = k + 9; w = k + 20; v = w + 12; g = o + 16; a = d + 20; d = g + 19; o = v + 6; b = z + 11; e = l + 7; z = r + 12; l = b + 19; j = e + 7. Given that k = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 9", "i": "v + 12", "c": "i + 8", "q": "c + 14", "j": "q + 9", "n": "j + 12", "r": "x + 4", "u": "r + 15", "b": "u + 16", "o": "b + 9", "w": "o + 7", "s": "w + 16", "x": 18}, "premises": {"x": 18}, "target": "n"}, "answer": {"steps": [["j", "q + 9", "q + 21"], ["q", "c + 14", "c + 35"], ["c", "i + 8", "i + 43"], ["i", "v + 12", "v + 55"], ["v", "x + 9", "x + 64"], ["x", 18, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"x": 18}, "is_reverse": true}} | 9,432 | 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 + 7; c = i + 8; q = c + 14; i = v + 12; n = j + 12; r = x + 4; j = q + 9; o = b + 9; b = u + 16; s = w + 16; x = 18; u = r + 15; v = x + 9. If x = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 9 to n, which gives n = q + 21.\n2. Substitute q = c + 14 to n, which gives n = c + 35.\n3. Substitute c = i + 8 to n, which gives n = i + 43.\n4. Substitute i = v + 12 to n, which gives n = v + 55.\n5. Substitute v = x + 9 to n, which gives n = x + 64.\n6. Substitute x = 18 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 9432,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 7; c = i + 8; q = c + 14; i = v + 12; n = j + 12; r = x + 4; j = q + 9; o = b + 9; b = u + 16; s = w + 16; x = 18; u = r + 15; v = x + 9. If x = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 8", "s": "k + 3", "g": "s + 9", "x": "g + 18", "q": "x + 6", "e": "q + 1", "r": "h + 19", "o": "r + 5", "p": "o + 20", "n": "p + 5", "i": "n + 15", "m": "i + 8", "h": 11}, "premises": {"h": 11}, "target": "e"}, "answer": {"steps": [["q", "x + 6", "x + 7"], ["x", "g + 18", "g + 25"], ["g", "s + 9", "s + 34"], ["s", "k + 3", "k + 37"], ["k", "h + 8", "h + 45"], ["h", 11, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"h": 11}, "is_reverse": true}} | 9,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 5; s = k + 3; x = g + 18; o = r + 5; h = 11; g = s + 9; r = h + 19; i = n + 15; k = h + 8; p = o + 20; e = q + 1; q = x + 6; m = i + 8. Given that h = 11, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 6 to e, which gives e = x + 7.\n2. Substitute x = g + 18 to e, which gives e = g + 25.\n3. Substitute g = s + 9 to e, which gives e = s + 34.\n4. Substitute s = k + 3 to e, which gives e = k + 37.\n5. Substitute k = h + 8 to e, which gives e = h + 45.\n6. Substitute h = 11 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 9433,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 5; s = k + 3; x = g + 18; o = r + 5; h = 11; g = s + 9; r = h + 19; i = n + 15; k = h + 8; p = o + 20; e = q + 1; q = x + 6; m = i + 8. Given that h = 11, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 2", "k": "d + 13", "f": "k + 2", "l": "f + 15", "v": "l + 14", "c": "v + 14", "i": "z + 1", "m": "i + 9", "h": "m + 7", "a": "h + 18", "x": "a + 18", "r": "x + 9", "z": 12}, "premises": {"z": 12}, "target": "c"}, "answer": {"steps": [["v", "l + 14", "l + 28"], ["l", "f + 15", "f + 43"], ["f", "k + 2", "k + 45"], ["k", "d + 13", "d + 58"], ["d", "z + 2", "z + 60"], ["z", 12, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"z": 12}, "is_reverse": true}} | 9,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 18; f = k + 2; i = z + 1; h = m + 7; v = l + 14; m = i + 9; a = h + 18; l = f + 15; k = d + 13; r = x + 9; z = 12; d = z + 2; c = v + 14. Given that z = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 14 to c, which gives c = l + 28.\n2. Substitute l = f + 15 to c, which gives c = f + 43.\n3. Substitute f = k + 2 to c, which gives c = k + 45.\n4. Substitute k = d + 13 to c, which gives c = d + 58.\n5. Substitute d = z + 2 to c, which gives c = z + 60.\n6. Substitute z = 12 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 9434,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 18; f = k + 2; i = z + 1; h = m + 7; v = l + 14; m = i + 9; a = h + 18; l = f + 15; k = d + 13; r = x + 9; z = 12; d = z + 2; c = v + 14. Given that z = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 8", "s": "w + 14", "n": "s + 16", "a": "n + 2", "j": "a + 2", "i": "j + 12", "r": "f + 1", "q": "r + 6", "x": "q + 16", "g": "x + 5", "p": "g + 18", "e": "p + 1", "f": 8}, "premises": {"f": 8}, "target": "i"}, "answer": {"steps": [["j", "a + 2", "a + 14"], ["a", "n + 2", "n + 16"], ["n", "s + 16", "s + 32"], ["s", "w + 14", "w + 46"], ["w", "f + 8", "f + 54"], ["f", 8, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"f": 8}, "is_reverse": true}} | 9,435 | 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 = n + 2; j = a + 2; f = 8; q = r + 6; g = x + 5; i = j + 12; x = q + 16; s = w + 14; p = g + 18; w = f + 8; e = p + 1; n = s + 16; r = f + 1. If f = 8, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 2 to i, which gives i = a + 14.\n2. Substitute a = n + 2 to i, which gives i = n + 16.\n3. Substitute n = s + 16 to i, which gives i = s + 32.\n4. Substitute s = w + 14 to i, which gives i = w + 46.\n5. Substitute w = f + 8 to i, which gives i = f + 54.\n6. Substitute f = 8 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 9435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 2; j = a + 2; f = 8; q = r + 6; g = x + 5; i = j + 12; x = q + 16; s = w + 14; p = g + 18; w = f + 8; e = p + 1; n = s + 16; r = f + 1. If f = 8, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 4", "p": "s + 1", "d": "p + 11", "o": "d + 5", "g": "o + 2", "i": "g + 18", "w": "j + 18", "n": "w + 16", "z": "n + 2", "x": "z + 7", "h": "x + 3", "e": "h + 15", "j": 19}, "premises": {"j": 19}, "target": "i"}, "answer": {"steps": [["g", "o + 2", "o + 20"], ["o", "d + 5", "d + 25"], ["d", "p + 11", "p + 36"], ["p", "s + 1", "s + 37"], ["s", "j + 4", "j + 41"], ["j", 19, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"j": 19}, "is_reverse": true}} | 9,436 | 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 = d + 5; d = p + 11; i = g + 18; p = s + 1; n = w + 16; g = o + 2; x = z + 7; z = n + 2; s = j + 4; e = h + 15; w = j + 18; h = x + 3; j = 19. If j = 19, 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 g = o + 2 to i, which gives i = o + 20.\n2. Substitute o = d + 5 to i, which gives i = d + 25.\n3. Substitute d = p + 11 to i, which gives i = p + 36.\n4. Substitute p = s + 1 to i, which gives i = s + 37.\n5. Substitute s = j + 4 to i, which gives i = j + 41.\n6. Substitute j = 19 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 9436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = d + 5; d = p + 11; i = g + 18; p = s + 1; n = w + 16; g = o + 2; x = z + 7; z = n + 2; s = j + 4; e = h + 15; w = j + 18; h = x + 3; j = 19. If j = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 13", "w": "d + 10", "p": "w + 4", "r": "p + 12", "o": "r + 2", "x": "o + 8", "i": "h + 1", "y": "i + 4", "z": "y + 19", "v": "z + 13", "e": "v + 13", "g": "e + 13", "h": 14}, "premises": {"h": 14}, "target": "x"}, "answer": {"steps": [["o", "r + 2", "r + 10"], ["r", "p + 12", "p + 22"], ["p", "w + 4", "w + 26"], ["w", "d + 10", "d + 36"], ["d", "h + 13", "h + 49"], ["h", 14, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"h": 14}, "is_reverse": true}} | 9,437 | 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 = y + 19; d = h + 13; v = z + 13; i = h + 1; g = e + 13; x = o + 8; p = w + 4; o = r + 2; e = v + 13; y = i + 4; h = 14; w = d + 10; r = p + 12. If h = 14, 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 o = r + 2 to x, which gives x = r + 10.\n2. Substitute r = p + 12 to x, which gives x = p + 22.\n3. Substitute p = w + 4 to x, which gives x = w + 26.\n4. Substitute w = d + 10 to x, which gives x = d + 36.\n5. Substitute d = h + 13 to x, which gives x = h + 49.\n6. Substitute h = 14 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 9437,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = y + 19; d = h + 13; v = z + 13; i = h + 1; g = e + 13; x = o + 8; p = w + 4; o = r + 2; e = v + 13; y = i + 4; h = 14; w = d + 10; r = p + 12. If h = 14, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 8", "p": "l + 15", "k": "p + 2", "q": "k + 12", "x": "q + 16", "m": "x + 16", "u": "b + 1", "y": "u + 18", "g": "y + 16", "h": "g + 2", "o": "h + 15", "d": "o + 10", "b": 14}, "premises": {"b": 14}, "target": "m"}, "answer": {"steps": [["x", "q + 16", "q + 32"], ["q", "k + 12", "k + 44"], ["k", "p + 2", "p + 46"], ["p", "l + 15", "l + 61"], ["l", "b + 8", "b + 69"], ["b", 14, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"b": 14}, "is_reverse": true}} | 9,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = q + 16; u = b + 1; l = b + 8; q = k + 12; d = o + 10; p = l + 15; g = y + 16; y = u + 18; k = p + 2; o = h + 15; m = x + 16; b = 14; h = g + 2. If b = 14, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 16 to m, which gives m = q + 32.\n2. Substitute q = k + 12 to m, which gives m = k + 44.\n3. Substitute k = p + 2 to m, which gives m = p + 46.\n4. Substitute p = l + 15 to m, which gives m = l + 61.\n5. Substitute l = b + 8 to m, which gives m = b + 69.\n6. Substitute b = 14 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 9438,
"question": "Consider a system of variables where each variable is defined as follows: x = q + 16; u = b + 1; l = b + 8; q = k + 12; d = o + 10; p = l + 15; g = y + 16; y = u + 18; k = p + 2; o = h + 15; m = x + 16; b = 14; h = g + 2. If b = 14, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "n + 20", "q": "p + 14", "y": "q + 18", "o": "y + 12", "h": "o + 14", "l": "h + 11", "d": "n + 3", "e": "d + 18", "g": "e + 15", "r": "g + 14", "f": "r + 6", "w": "f + 2", "n": 6}, "premises": {"n": 6}, "target": "l"}, "answer": {"steps": [["h", "o + 14", "o + 25"], ["o", "y + 12", "y + 37"], ["y", "q + 18", "q + 55"], ["q", "p + 14", "p + 69"], ["p", "n + 20", "n + 89"], ["n", 6, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"n": 6}, "is_reverse": true}} | 9,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 15; r = g + 14; w = f + 2; h = o + 14; y = q + 18; l = h + 11; n = 6; p = n + 20; f = r + 6; o = y + 12; e = d + 18; d = n + 3; q = p + 14. Given that n = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 14 to l, which gives l = o + 25.\n2. Substitute o = y + 12 to l, which gives l = y + 37.\n3. Substitute y = q + 18 to l, which gives l = q + 55.\n4. Substitute q = p + 14 to l, which gives l = p + 69.\n5. Substitute p = n + 20 to l, which gives l = n + 89.\n6. Substitute n = 6 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 9439,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 15; r = g + 14; w = f + 2; h = o + 14; y = q + 18; l = h + 11; n = 6; p = n + 20; f = r + 6; o = y + 12; e = d + 18; d = n + 3; q = p + 14. Given that n = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 20", "q": "e + 18", "c": "q + 15", "v": "c + 12", "s": "v + 8", "m": "s + 18", "d": "z + 12", "w": "d + 12", "j": "w + 6", "n": "j + 11", "k": "n + 6", "x": "k + 6", "z": 1}, "premises": {"z": 1}, "target": "m"}, "answer": {"steps": [["s", "v + 8", "v + 26"], ["v", "c + 12", "c + 38"], ["c", "q + 15", "q + 53"], ["q", "e + 18", "e + 71"], ["e", "z + 20", "z + 91"], ["z", 1, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"z": 1}, "is_reverse": true}} | 9,440 | 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 = d + 12; z = 1; e = z + 20; x = k + 6; c = q + 15; s = v + 8; v = c + 12; m = s + 18; n = j + 11; j = w + 6; k = n + 6; q = e + 18; d = z + 12. If z = 1, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 8 to m, which gives m = v + 26.\n2. Substitute v = c + 12 to m, which gives m = c + 38.\n3. Substitute c = q + 15 to m, which gives m = q + 53.\n4. Substitute q = e + 18 to m, which gives m = e + 71.\n5. Substitute e = z + 20 to m, which gives m = z + 91.\n6. Substitute z = 1 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 9440,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 12; z = 1; e = z + 20; x = k + 6; c = q + 15; s = v + 8; v = c + 12; m = s + 18; n = j + 11; j = w + 6; k = n + 6; q = e + 18; d = z + 12. If z = 1, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 17", "c": "r + 10", "x": "c + 15", "i": "x + 3", "m": "i + 13", "u": "m + 7", "y": "q + 9", "l": "y + 15", "a": "l + 7", "k": "a + 13", "d": "k + 9", "e": "d + 17", "q": 5}, "premises": {"q": 5}, "target": "u"}, "answer": {"steps": [["m", "i + 13", "i + 20"], ["i", "x + 3", "x + 23"], ["x", "c + 15", "c + 38"], ["c", "r + 10", "r + 48"], ["r", "q + 17", "q + 65"], ["q", 5, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"q": 5}, "is_reverse": true}} | 9,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 5; r = q + 17; y = q + 9; e = d + 17; u = m + 7; d = k + 9; x = c + 15; k = a + 13; m = i + 13; i = x + 3; c = r + 10; a = l + 7; l = y + 15. If q = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 13 to u, which gives u = i + 20.\n2. Substitute i = x + 3 to u, which gives u = x + 23.\n3. Substitute x = c + 15 to u, which gives u = c + 38.\n4. Substitute c = r + 10 to u, which gives u = r + 48.\n5. Substitute r = q + 17 to u, which gives u = q + 65.\n6. Substitute q = 5 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 9441,
"question": "Consider a system of variables where each variable is defined as follows: q = 5; r = q + 17; y = q + 9; e = d + 17; u = m + 7; d = k + 9; x = c + 15; k = a + 13; m = i + 13; i = x + 3; c = r + 10; a = l + 7; l = y + 15. If q = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 16", "k": "u + 16", "r": "k + 13", "n": "r + 17", "a": "n + 17", "z": "a + 13", "i": "g + 6", "j": "i + 10", "s": "j + 11", "y": "s + 9", "x": "y + 1", "b": "x + 5", "g": 11}, "premises": {"g": 11}, "target": "z"}, "answer": {"steps": [["a", "n + 17", "n + 30"], ["n", "r + 17", "r + 47"], ["r", "k + 13", "k + 60"], ["k", "u + 16", "u + 76"], ["u", "g + 16", "g + 92"], ["g", 11, "103"]], "target_var_name": "z", "target_value": 103, "value_dict": {"g": 11}, "is_reverse": true}} | 9,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 10; k = u + 16; g = 11; z = a + 13; x = y + 1; i = g + 6; s = j + 11; a = n + 17; r = k + 13; u = g + 16; n = r + 17; y = s + 9; b = x + 5. Given that g = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 17 to z, which gives z = n + 30.\n2. Substitute n = r + 17 to z, which gives z = r + 47.\n3. Substitute r = k + 13 to z, which gives z = k + 60.\n4. Substitute k = u + 16 to z, which gives z = u + 76.\n5. Substitute u = g + 16 to z, which gives z = g + 92.\n6. Substitute g = 11 to z, which gives z = 103.\n\nThus, the final answer is z = \\boxed{103}.",
"index": 9442,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 10; k = u + 16; g = 11; z = a + 13; x = y + 1; i = g + 6; s = j + 11; a = n + 17; r = k + 13; u = g + 16; n = r + 17; y = s + 9; b = x + 5. Given that g = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 20", "d": "w + 15", "a": "d + 14", "x": "a + 2", "z": "x + 2", "r": "z + 7", "c": "l + 8", "i": "c + 18", "o": "i + 11", "p": "o + 8", "e": "p + 11", "k": "e + 12", "l": 12}, "premises": {"l": 12}, "target": "r"}, "answer": {"steps": [["z", "x + 2", "x + 9"], ["x", "a + 2", "a + 11"], ["a", "d + 14", "d + 25"], ["d", "w + 15", "w + 40"], ["w", "l + 20", "l + 60"], ["l", 12, "72"]], "target_var_name": "r", "target_value": 72, "value_dict": {"l": 12}, "is_reverse": true}} | 9,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 8; e = p + 11; w = l + 20; o = i + 11; i = c + 18; l = 12; k = e + 12; a = d + 14; x = a + 2; r = z + 7; z = x + 2; p = o + 8; d = w + 15. Given that l = 12, 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 z = x + 2 to r, which gives r = x + 9.\n2. Substitute x = a + 2 to r, which gives r = a + 11.\n3. Substitute a = d + 14 to r, which gives r = d + 25.\n4. Substitute d = w + 15 to r, which gives r = w + 40.\n5. Substitute w = l + 20 to r, which gives r = l + 60.\n6. Substitute l = 12 to r, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 9443,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 8; e = p + 11; w = l + 20; o = i + 11; i = c + 18; l = 12; k = e + 12; a = d + 14; x = a + 2; r = z + 7; z = x + 2; p = o + 8; d = w + 15. Given that l = 12, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 1", "g": "d + 10", "n": "g + 7", "m": "n + 7", "w": "m + 15", "p": "w + 3", "z": "i + 18", "e": "z + 9", "h": "e + 9", "x": "h + 17", "l": "x + 1", "a": "l + 2", "i": 18}, "premises": {"i": 18}, "target": "p"}, "answer": {"steps": [["w", "m + 15", "m + 18"], ["m", "n + 7", "n + 25"], ["n", "g + 7", "g + 32"], ["g", "d + 10", "d + 42"], ["d", "i + 1", "i + 43"], ["i", 18, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"i": 18}, "is_reverse": true}} | 9,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 7; g = d + 10; m = n + 7; i = 18; h = e + 9; l = x + 1; e = z + 9; w = m + 15; x = h + 17; a = l + 2; z = i + 18; p = w + 3; d = i + 1. If i = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 15 to p, which gives p = m + 18.\n2. Substitute m = n + 7 to p, which gives p = n + 25.\n3. Substitute n = g + 7 to p, which gives p = g + 32.\n4. Substitute g = d + 10 to p, which gives p = d + 42.\n5. Substitute d = i + 1 to p, which gives p = i + 43.\n6. Substitute i = 18 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 9444,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 7; g = d + 10; m = n + 7; i = 18; h = e + 9; l = x + 1; e = z + 9; w = m + 15; x = h + 17; a = l + 2; z = i + 18; p = w + 3; d = i + 1. If i = 18, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 3", "p": "e + 19", "d": "p + 19", "m": "d + 2", "x": "m + 3", "g": "x + 2", "b": "a + 15", "s": "b + 20", "z": "s + 9", "f": "z + 10", "k": "f + 17", "h": "k + 7", "a": 6}, "premises": {"a": 6}, "target": "g"}, "answer": {"steps": [["x", "m + 3", "m + 5"], ["m", "d + 2", "d + 7"], ["d", "p + 19", "p + 26"], ["p", "e + 19", "e + 45"], ["e", "a + 3", "a + 48"], ["a", 6, "54"]], "target_var_name": "g", "target_value": 54, "value_dict": {"a": 6}, "is_reverse": true}} | 9,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = m + 3; p = e + 19; d = p + 19; z = s + 9; m = d + 2; k = f + 17; s = b + 20; f = z + 10; g = x + 2; e = a + 3; a = 6; b = a + 15; h = k + 7. If a = 6, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 3 to g, which gives g = m + 5.\n2. Substitute m = d + 2 to g, which gives g = d + 7.\n3. Substitute d = p + 19 to g, which gives g = p + 26.\n4. Substitute p = e + 19 to g, which gives g = e + 45.\n5. Substitute e = a + 3 to g, which gives g = a + 48.\n6. Substitute a = 6 to g, which gives g = 54.\n\nThus, the final answer is g = \\boxed{54}.",
"index": 9445,
"question": "Consider a system of variables where each variable is defined as follows: x = m + 3; p = e + 19; d = p + 19; z = s + 9; m = d + 2; k = f + 17; s = b + 20; f = z + 10; g = x + 2; e = a + 3; a = 6; b = a + 15; h = k + 7. If a = 6, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 13", "j": "v + 10", "w": "j + 11", "o": "w + 17", "d": "o + 20", "x": "d + 2", "q": "m + 11", "l": "q + 15", "k": "l + 15", "c": "k + 11", "u": "c + 10", "g": "u + 12", "m": 9}, "premises": {"m": 9}, "target": "x"}, "answer": {"steps": [["d", "o + 20", "o + 22"], ["o", "w + 17", "w + 39"], ["w", "j + 11", "j + 50"], ["j", "v + 10", "v + 60"], ["v", "m + 13", "m + 73"], ["m", 9, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"m": 9}, "is_reverse": true}} | 9,446 | 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 = m + 13; x = d + 2; w = j + 11; m = 9; u = c + 10; q = m + 11; c = k + 11; g = u + 12; l = q + 15; k = l + 15; o = w + 17; d = o + 20; j = v + 10. If m = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 20 to x, which gives x = o + 22.\n2. Substitute o = w + 17 to x, which gives x = w + 39.\n3. Substitute w = j + 11 to x, which gives x = j + 50.\n4. Substitute j = v + 10 to x, which gives x = v + 60.\n5. Substitute v = m + 13 to x, which gives x = m + 73.\n6. Substitute m = 9 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 9446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 13; x = d + 2; w = j + 11; m = 9; u = c + 10; q = m + 11; c = k + 11; g = u + 12; l = q + 15; k = l + 15; o = w + 17; d = o + 20; j = v + 10. If m = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 14", "s": "v + 12", "p": "s + 9", "l": "p + 2", "n": "l + 8", "a": "n + 3", "k": "e + 4", "g": "k + 3", "t": "g + 2", "b": "t + 14", "z": "b + 1", "d": "z + 14", "e": 17}, "premises": {"e": 17}, "target": "a"}, "answer": {"steps": [["n", "l + 8", "l + 11"], ["l", "p + 2", "p + 13"], ["p", "s + 9", "s + 22"], ["s", "v + 12", "v + 34"], ["v", "e + 14", "e + 48"], ["e", 17, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"e": 17}, "is_reverse": true}} | 9,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 1; l = p + 2; p = s + 9; k = e + 4; e = 17; a = n + 3; b = t + 14; d = z + 14; t = g + 2; n = l + 8; g = k + 3; v = e + 14; s = v + 12. Given that e = 17, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 8 to a, which gives a = l + 11.\n2. Substitute l = p + 2 to a, which gives a = p + 13.\n3. Substitute p = s + 9 to a, which gives a = s + 22.\n4. Substitute s = v + 12 to a, which gives a = v + 34.\n5. Substitute v = e + 14 to a, which gives a = e + 48.\n6. Substitute e = 17 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 9447,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 1; l = p + 2; p = s + 9; k = e + 4; e = 17; a = n + 3; b = t + 14; d = z + 14; t = g + 2; n = l + 8; g = k + 3; v = e + 14; s = v + 12. Given that e = 17, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 14", "c": "m + 20", "g": "c + 2", "y": "g + 10", "p": "y + 5", "z": "p + 9", "w": "s + 2", "r": "w + 15", "t": "r + 10", "e": "t + 8", "v": "e + 17", "o": "v + 20", "s": 19}, "premises": {"s": 19}, "target": "z"}, "answer": {"steps": [["p", "y + 5", "y + 14"], ["y", "g + 10", "g + 24"], ["g", "c + 2", "c + 26"], ["c", "m + 20", "m + 46"], ["m", "s + 14", "s + 60"], ["s", 19, "79"]], "target_var_name": "z", "target_value": 79, "value_dict": {"s": 19}, "is_reverse": true}} | 9,448 | 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 = e + 17; c = m + 20; s = 19; y = g + 10; p = y + 5; r = w + 15; w = s + 2; o = v + 20; g = c + 2; m = s + 14; e = t + 8; z = p + 9; t = r + 10. If s = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 5 to z, which gives z = y + 14.\n2. Substitute y = g + 10 to z, which gives z = g + 24.\n3. Substitute g = c + 2 to z, which gives z = c + 26.\n4. Substitute c = m + 20 to z, which gives z = m + 46.\n5. Substitute m = s + 14 to z, which gives z = s + 60.\n6. Substitute s = 19 to z, which gives z = 79.\n\nThus, the final answer is z = \\boxed{79}.",
"index": 9448,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 17; c = m + 20; s = 19; y = g + 10; p = y + 5; r = w + 15; w = s + 2; o = v + 20; g = c + 2; m = s + 14; e = t + 8; z = p + 9; t = r + 10. If s = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 2", "d": "z + 12", "s": "d + 16", "y": "s + 5", "e": "y + 16", "j": "e + 13", "g": "i + 5", "u": "g + 15", "o": "u + 7", "l": "o + 20", "f": "l + 11", "c": "f + 16", "i": 6}, "premises": {"i": 6}, "target": "j"}, "answer": {"steps": [["e", "y + 16", "y + 29"], ["y", "s + 5", "s + 34"], ["s", "d + 16", "d + 50"], ["d", "z + 12", "z + 62"], ["z", "i + 2", "i + 64"], ["i", 6, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"i": 6}, "is_reverse": true}} | 9,449 | 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 = z + 12; o = u + 7; i = 6; e = y + 16; j = e + 13; y = s + 5; c = f + 16; f = l + 11; g = i + 5; l = o + 20; z = i + 2; s = d + 16; u = g + 15. If i = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 16 to j, which gives j = y + 29.\n2. Substitute y = s + 5 to j, which gives j = s + 34.\n3. Substitute s = d + 16 to j, which gives j = d + 50.\n4. Substitute d = z + 12 to j, which gives j = z + 62.\n5. Substitute z = i + 2 to j, which gives j = i + 64.\n6. Substitute i = 6 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 9449,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 12; o = u + 7; i = 6; e = y + 16; j = e + 13; y = s + 5; c = f + 16; f = l + 11; g = i + 5; l = o + 20; z = i + 2; s = d + 16; u = g + 15. If i = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 14", "x": "g + 15", "t": "x + 3", "i": "t + 7", "d": "i + 6", "w": "d + 8", "u": "m + 15", "o": "u + 8", "e": "o + 6", "c": "e + 14", "a": "c + 11", "n": "a + 19", "m": 13}, "premises": {"m": 13}, "target": "w"}, "answer": {"steps": [["d", "i + 6", "i + 14"], ["i", "t + 7", "t + 21"], ["t", "x + 3", "x + 24"], ["x", "g + 15", "g + 39"], ["g", "m + 14", "m + 53"], ["m", 13, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"m": 13}, "is_reverse": true}} | 9,450 | 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 = i + 6; t = x + 3; n = a + 19; e = o + 6; c = e + 14; i = t + 7; a = c + 11; x = g + 15; g = m + 14; w = d + 8; m = 13; o = u + 8; u = m + 15. If m = 13, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 6 to w, which gives w = i + 14.\n2. Substitute i = t + 7 to w, which gives w = t + 21.\n3. Substitute t = x + 3 to w, which gives w = x + 24.\n4. Substitute x = g + 15 to w, which gives w = g + 39.\n5. Substitute g = m + 14 to w, which gives w = m + 53.\n6. Substitute m = 13 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 9450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 6; t = x + 3; n = a + 19; e = o + 6; c = e + 14; i = t + 7; a = c + 11; x = g + 15; g = m + 14; w = d + 8; m = 13; o = u + 8; u = m + 15. If m = 13, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 1", "t": "s + 11", "y": "t + 1", "c": "y + 6", "n": "c + 4", "m": "n + 8", "z": "q + 18", "g": "z + 19", "f": "g + 17", "i": "f + 3", "j": "i + 14", "e": "j + 8", "q": 12}, "premises": {"q": 12}, "target": "m"}, "answer": {"steps": [["n", "c + 4", "c + 12"], ["c", "y + 6", "y + 18"], ["y", "t + 1", "t + 19"], ["t", "s + 11", "s + 30"], ["s", "q + 1", "q + 31"], ["q", 12, "43"]], "target_var_name": "m", "target_value": 43, "value_dict": {"q": 12}, "is_reverse": true}} | 9,451 | 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 = 12; c = y + 6; n = c + 4; y = t + 1; s = q + 1; t = s + 11; z = q + 18; e = j + 8; f = g + 17; i = f + 3; m = n + 8; j = i + 14; g = z + 19. If q = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 4 to m, which gives m = c + 12.\n2. Substitute c = y + 6 to m, which gives m = y + 18.\n3. Substitute y = t + 1 to m, which gives m = t + 19.\n4. Substitute t = s + 11 to m, which gives m = s + 30.\n5. Substitute s = q + 1 to m, which gives m = q + 31.\n6. Substitute q = 12 to m, which gives m = 43.\n\nThus, the final answer is m = \\boxed{43}.",
"index": 9451,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 12; c = y + 6; n = c + 4; y = t + 1; s = q + 1; t = s + 11; z = q + 18; e = j + 8; f = g + 17; i = f + 3; m = n + 8; j = i + 14; g = z + 19. If q = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 2", "w": "h + 13", "p": "w + 18", "j": "p + 3", "r": "j + 16", "m": "r + 6", "s": "o + 6", "e": "s + 7", "k": "e + 8", "f": "k + 1", "t": "f + 5", "n": "t + 4", "o": 2}, "premises": {"o": 2}, "target": "m"}, "answer": {"steps": [["r", "j + 16", "j + 22"], ["j", "p + 3", "p + 25"], ["p", "w + 18", "w + 43"], ["w", "h + 13", "h + 56"], ["h", "o + 2", "o + 58"], ["o", 2, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"o": 2}, "is_reverse": true}} | 9,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 4; o = 2; k = e + 8; f = k + 1; w = h + 13; p = w + 18; m = r + 6; h = o + 2; e = s + 7; j = p + 3; s = o + 6; r = j + 16; t = f + 5. Given that o = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 16 to m, which gives m = j + 22.\n2. Substitute j = p + 3 to m, which gives m = p + 25.\n3. Substitute p = w + 18 to m, which gives m = w + 43.\n4. Substitute w = h + 13 to m, which gives m = h + 56.\n5. Substitute h = o + 2 to m, which gives m = o + 58.\n6. Substitute o = 2 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 9452,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 4; o = 2; k = e + 8; f = k + 1; w = h + 13; p = w + 18; m = r + 6; h = o + 2; e = s + 7; j = p + 3; s = o + 6; r = j + 16; t = f + 5. Given that o = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 18", "s": "j + 8", "f": "s + 12", "t": "f + 15", "w": "t + 12", "b": "w + 11", "v": "n + 5", "g": "v + 11", "r": "g + 18", "h": "r + 19", "x": "h + 14", "c": "x + 14", "n": 19}, "premises": {"n": 19}, "target": "b"}, "answer": {"steps": [["w", "t + 12", "t + 23"], ["t", "f + 15", "f + 38"], ["f", "s + 12", "s + 50"], ["s", "j + 8", "j + 58"], ["j", "n + 18", "n + 76"], ["n", 19, "95"]], "target_var_name": "b", "target_value": 95, "value_dict": {"n": 19}, "is_reverse": true}} | 9,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 15; b = w + 11; s = j + 8; w = t + 12; f = s + 12; g = v + 11; n = 19; j = n + 18; x = h + 14; h = r + 19; c = x + 14; r = g + 18; v = n + 5. If n = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 12 to b, which gives b = t + 23.\n2. Substitute t = f + 15 to b, which gives b = f + 38.\n3. Substitute f = s + 12 to b, which gives b = s + 50.\n4. Substitute s = j + 8 to b, which gives b = j + 58.\n5. Substitute j = n + 18 to b, which gives b = n + 76.\n6. Substitute n = 19 to b, which gives b = 95.\n\nThus, the final answer is b = \\boxed{95}.",
"index": 9453,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 15; b = w + 11; s = j + 8; w = t + 12; f = s + 12; g = v + 11; n = 19; j = n + 18; x = h + 14; h = r + 19; c = x + 14; r = g + 18; v = n + 5. If n = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 10", "j": "e + 4", "m": "j + 12", "t": "m + 16", "x": "t + 17", "p": "x + 14", "r": "u + 14", "i": "r + 1", "f": "i + 16", "g": "f + 15", "y": "g + 3", "h": "y + 19", "u": 20}, "premises": {"u": 20}, "target": "p"}, "answer": {"steps": [["x", "t + 17", "t + 31"], ["t", "m + 16", "m + 47"], ["m", "j + 12", "j + 59"], ["j", "e + 4", "e + 63"], ["e", "u + 10", "u + 73"], ["u", 20, "93"]], "target_var_name": "p", "target_value": 93, "value_dict": {"u": 20}, "is_reverse": true}} | 9,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 12; j = e + 4; f = i + 16; p = x + 14; r = u + 14; h = y + 19; g = f + 15; u = 20; e = u + 10; x = t + 17; y = g + 3; i = r + 1; t = m + 16. If u = 20, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 17 to p, which gives p = t + 31.\n2. Substitute t = m + 16 to p, which gives p = m + 47.\n3. Substitute m = j + 12 to p, which gives p = j + 59.\n4. Substitute j = e + 4 to p, which gives p = e + 63.\n5. Substitute e = u + 10 to p, which gives p = u + 73.\n6. Substitute u = 20 to p, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 9454,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 12; j = e + 4; f = i + 16; p = x + 14; r = u + 14; h = y + 19; g = f + 15; u = 20; e = u + 10; x = t + 17; y = g + 3; i = r + 1; t = m + 16. If u = 20, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 14", "b": "e + 4", "y": "b + 10", "o": "y + 9", "a": "o + 14", "r": "a + 11", "j": "p + 11", "m": "j + 16", "g": "m + 15", "h": "g + 1", "c": "h + 7", "v": "c + 2", "p": 9}, "premises": {"p": 9}, "target": "r"}, "answer": {"steps": [["a", "o + 14", "o + 25"], ["o", "y + 9", "y + 34"], ["y", "b + 10", "b + 44"], ["b", "e + 4", "e + 48"], ["e", "p + 14", "p + 62"], ["p", 9, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"p": 9}, "is_reverse": true}} | 9,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 10; p = 9; o = y + 9; h = g + 1; a = o + 14; b = e + 4; c = h + 7; r = a + 11; g = m + 15; m = j + 16; j = p + 11; e = p + 14; v = c + 2. If p = 9, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 14 to r, which gives r = o + 25.\n2. Substitute o = y + 9 to r, which gives r = y + 34.\n3. Substitute y = b + 10 to r, which gives r = b + 44.\n4. Substitute b = e + 4 to r, which gives r = e + 48.\n5. Substitute e = p + 14 to r, which gives r = p + 62.\n6. Substitute p = 9 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 9455,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 10; p = 9; o = y + 9; h = g + 1; a = o + 14; b = e + 4; c = h + 7; r = a + 11; g = m + 15; m = j + 16; j = p + 11; e = p + 14; v = c + 2. If p = 9, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 14", "l": "w + 14", "m": "l + 15", "a": "m + 6", "c": "a + 20", "o": "c + 3", "q": "i + 4", "n": "q + 14", "g": "n + 20", "d": "g + 7", "h": "d + 5", "x": "h + 9", "i": 17}, "premises": {"i": 17}, "target": "o"}, "answer": {"steps": [["c", "a + 20", "a + 23"], ["a", "m + 6", "m + 29"], ["m", "l + 15", "l + 44"], ["l", "w + 14", "w + 58"], ["w", "i + 14", "i + 72"], ["i", 17, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"i": 17}, "is_reverse": true}} | 9,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 4; i = 17; l = w + 14; o = c + 3; n = q + 14; w = i + 14; a = m + 6; d = g + 7; x = h + 9; h = d + 5; m = l + 15; g = n + 20; c = a + 20. If i = 17, determine 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 c = a + 20 to o, which gives o = a + 23.\n2. Substitute a = m + 6 to o, which gives o = m + 29.\n3. Substitute m = l + 15 to o, which gives o = l + 44.\n4. Substitute l = w + 14 to o, which gives o = w + 58.\n5. Substitute w = i + 14 to o, which gives o = i + 72.\n6. Substitute i = 17 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 9456,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 4; i = 17; l = w + 14; o = c + 3; n = q + 14; w = i + 14; a = m + 6; d = g + 7; x = h + 9; h = d + 5; m = l + 15; g = n + 20; c = a + 20. If i = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 4", "m": "h + 16", "z": "m + 11", "k": "z + 18", "r": "k + 12", "v": "r + 17", "n": "g + 20", "a": "n + 7", "f": "a + 3", "w": "f + 12", "e": "w + 13", "j": "e + 12", "g": 2}, "premises": {"g": 2}, "target": "v"}, "answer": {"steps": [["r", "k + 12", "k + 29"], ["k", "z + 18", "z + 47"], ["z", "m + 11", "m + 58"], ["m", "h + 16", "h + 74"], ["h", "g + 4", "g + 78"], ["g", 2, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"g": 2}, "is_reverse": true}} | 9,457 | 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 = n + 7; w = f + 12; n = g + 20; h = g + 4; k = z + 18; z = m + 11; e = w + 13; f = a + 3; g = 2; m = h + 16; v = r + 17; r = k + 12; j = e + 12. If g = 2, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 12 to v, which gives v = k + 29.\n2. Substitute k = z + 18 to v, which gives v = z + 47.\n3. Substitute z = m + 11 to v, which gives v = m + 58.\n4. Substitute m = h + 16 to v, which gives v = h + 74.\n5. Substitute h = g + 4 to v, which gives v = g + 78.\n6. Substitute g = 2 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 9457,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 7; w = f + 12; n = g + 20; h = g + 4; k = z + 18; z = m + 11; e = w + 13; f = a + 3; g = 2; m = h + 16; v = r + 17; r = k + 12; j = e + 12. If g = 2, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 5", "x": "m + 18", "s": "x + 10", "i": "s + 11", "k": "i + 5", "z": "k + 19", "u": "l + 7", "y": "u + 20", "d": "y + 12", "f": "d + 18", "a": "f + 19", "v": "a + 14", "l": 2}, "premises": {"l": 2}, "target": "z"}, "answer": {"steps": [["k", "i + 5", "i + 24"], ["i", "s + 11", "s + 35"], ["s", "x + 10", "x + 45"], ["x", "m + 18", "m + 63"], ["m", "l + 5", "l + 68"], ["l", 2, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"l": 2}, "is_reverse": true}} | 9,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 5; l = 2; d = y + 12; y = u + 20; s = x + 10; v = a + 14; x = m + 18; a = f + 19; m = l + 5; i = s + 11; u = l + 7; z = k + 19; f = d + 18. If l = 2, 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 k = i + 5 to z, which gives z = i + 24.\n2. Substitute i = s + 11 to z, which gives z = s + 35.\n3. Substitute s = x + 10 to z, which gives z = x + 45.\n4. Substitute x = m + 18 to z, which gives z = m + 63.\n5. Substitute m = l + 5 to z, which gives z = l + 68.\n6. Substitute l = 2 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 9458,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 5; l = 2; d = y + 12; y = u + 20; s = x + 10; v = a + 14; x = m + 18; a = f + 19; m = l + 5; i = s + 11; u = l + 7; z = k + 19; f = d + 18. If l = 2, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 17", "g": "q + 10", "e": "g + 3", "a": "e + 1", "b": "a + 6", "f": "b + 20", "z": "y + 2", "m": "z + 13", "x": "m + 11", "n": "x + 7", "k": "n + 14", "h": "k + 19", "y": 5}, "premises": {"y": 5}, "target": "f"}, "answer": {"steps": [["b", "a + 6", "a + 26"], ["a", "e + 1", "e + 27"], ["e", "g + 3", "g + 30"], ["g", "q + 10", "q + 40"], ["q", "y + 17", "y + 57"], ["y", 5, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"y": 5}, "is_reverse": true}} | 9,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 5; z = y + 2; q = y + 17; g = q + 10; n = x + 7; h = k + 19; x = m + 11; k = n + 14; b = a + 6; a = e + 1; m = z + 13; e = g + 3; f = b + 20. If y = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 6 to f, which gives f = a + 26.\n2. Substitute a = e + 1 to f, which gives f = e + 27.\n3. Substitute e = g + 3 to f, which gives f = g + 30.\n4. Substitute g = q + 10 to f, which gives f = q + 40.\n5. Substitute q = y + 17 to f, which gives f = y + 57.\n6. Substitute y = 5 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 9459,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 5; z = y + 2; q = y + 17; g = q + 10; n = x + 7; h = k + 19; x = m + 11; k = n + 14; b = a + 6; a = e + 1; m = z + 13; e = g + 3; f = b + 20. If y = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 12", "q": "d + 8", "k": "q + 16", "f": "k + 20", "n": "f + 14", "i": "n + 14", "o": "v + 15", "x": "o + 2", "u": "x + 4", "y": "u + 12", "s": "y + 14", "l": "s + 2", "v": 20}, "premises": {"v": 20}, "target": "i"}, "answer": {"steps": [["n", "f + 14", "f + 28"], ["f", "k + 20", "k + 48"], ["k", "q + 16", "q + 64"], ["q", "d + 8", "d + 72"], ["d", "v + 12", "v + 84"], ["v", 20, "104"]], "target_var_name": "i", "target_value": 104, "value_dict": {"v": 20}, "is_reverse": true}} | 9,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 20; k = q + 16; o = v + 15; y = u + 12; s = y + 14; d = v + 12; i = n + 14; l = s + 2; q = d + 8; f = k + 20; x = o + 2; n = f + 14; u = x + 4. Given that v = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 14 to i, which gives i = f + 28.\n2. Substitute f = k + 20 to i, which gives i = k + 48.\n3. Substitute k = q + 16 to i, which gives i = q + 64.\n4. Substitute q = d + 8 to i, which gives i = d + 72.\n5. Substitute d = v + 12 to i, which gives i = v + 84.\n6. Substitute v = 20 to i, which gives i = 104.\n\nThus, the final answer is i = \\boxed{104}.",
"index": 9460,
"question": "Suppose a collection of variables is related by the following definitions: v = 20; k = q + 16; o = v + 15; y = u + 12; s = y + 14; d = v + 12; i = n + 14; l = s + 2; q = d + 8; f = k + 20; x = o + 2; n = f + 14; u = x + 4. Given that v = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 2", "s": "v + 15", "m": "s + 10", "e": "m + 11", "u": "e + 3", "r": "u + 12", "z": "k + 8", "b": "z + 9", "c": "b + 20", "l": "c + 1", "i": "l + 17", "h": "i + 5", "k": 17}, "premises": {"k": 17}, "target": "r"}, "answer": {"steps": [["u", "e + 3", "e + 15"], ["e", "m + 11", "m + 26"], ["m", "s + 10", "s + 36"], ["s", "v + 15", "v + 51"], ["v", "k + 2", "k + 53"], ["k", 17, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"k": 17}, "is_reverse": true}} | 9,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = c + 1; z = k + 8; h = i + 5; v = k + 2; s = v + 15; k = 17; m = s + 10; b = z + 9; e = m + 11; c = b + 20; i = l + 17; u = e + 3; r = u + 12. Given that k = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 3 to r, which gives r = e + 15.\n2. Substitute e = m + 11 to r, which gives r = m + 26.\n3. Substitute m = s + 10 to r, which gives r = s + 36.\n4. Substitute s = v + 15 to r, which gives r = v + 51.\n5. Substitute v = k + 2 to r, which gives r = k + 53.\n6. Substitute k = 17 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 9461,
"question": "Suppose a collection of variables is related by the following definitions: l = c + 1; z = k + 8; h = i + 5; v = k + 2; s = v + 15; k = 17; m = s + 10; b = z + 9; e = m + 11; c = b + 20; i = l + 17; u = e + 3; r = u + 12. Given that k = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 9", "h": "d + 6", "f": "h + 13", "x": "f + 11", "c": "x + 8", "e": "c + 5", "s": "j + 11", "b": "s + 10", "p": "b + 6", "r": "p + 7", "t": "r + 9", "y": "t + 11", "j": 20}, "premises": {"j": 20}, "target": "e"}, "answer": {"steps": [["c", "x + 8", "x + 13"], ["x", "f + 11", "f + 24"], ["f", "h + 13", "h + 37"], ["h", "d + 6", "d + 43"], ["d", "j + 9", "j + 52"], ["j", 20, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"j": 20}, "is_reverse": true}} | 9,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 9; d = j + 9; f = h + 13; e = c + 5; y = t + 11; s = j + 11; h = d + 6; r = p + 7; c = x + 8; j = 20; p = b + 6; x = f + 11; b = s + 10. If j = 20, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 8 to e, which gives e = x + 13.\n2. Substitute x = f + 11 to e, which gives e = f + 24.\n3. Substitute f = h + 13 to e, which gives e = h + 37.\n4. Substitute h = d + 6 to e, which gives e = d + 43.\n5. Substitute d = j + 9 to e, which gives e = j + 52.\n6. Substitute j = 20 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 9462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 9; d = j + 9; f = h + 13; e = c + 5; y = t + 11; s = j + 11; h = d + 6; r = p + 7; c = x + 8; j = 20; p = b + 6; x = f + 11; b = s + 10. If j = 20, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 1", "p": "c + 4", "w": "p + 20", "s": "w + 13", "a": "s + 15", "l": "a + 11", "g": "d + 1", "h": "g + 7", "u": "h + 3", "k": "u + 17", "j": "k + 7", "r": "j + 16", "d": 2}, "premises": {"d": 2}, "target": "l"}, "answer": {"steps": [["a", "s + 15", "s + 26"], ["s", "w + 13", "w + 39"], ["w", "p + 20", "p + 59"], ["p", "c + 4", "c + 63"], ["c", "d + 1", "d + 64"], ["d", 2, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"d": 2}, "is_reverse": true}} | 9,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 7; r = j + 16; s = w + 13; g = d + 1; u = h + 3; k = u + 17; a = s + 15; l = a + 11; d = 2; w = p + 20; j = k + 7; c = d + 1; p = c + 4. If d = 2, determine the 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 a = s + 15 to l, which gives l = s + 26.\n2. Substitute s = w + 13 to l, which gives l = w + 39.\n3. Substitute w = p + 20 to l, which gives l = p + 59.\n4. Substitute p = c + 4 to l, which gives l = c + 63.\n5. Substitute c = d + 1 to l, which gives l = d + 64.\n6. Substitute d = 2 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 9463,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 7; r = j + 16; s = w + 13; g = d + 1; u = h + 3; k = u + 17; a = s + 15; l = a + 11; d = 2; w = p + 20; j = k + 7; c = d + 1; p = c + 4. If d = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 4", "t": "u + 1", "f": "t + 8", "w": "f + 9", "z": "w + 18", "x": "z + 1", "l": "v + 18", "h": "l + 19", "y": "h + 3", "j": "y + 19", "a": "j + 15", "n": "a + 6", "v": 12}, "premises": {"v": 12}, "target": "x"}, "answer": {"steps": [["z", "w + 18", "w + 19"], ["w", "f + 9", "f + 28"], ["f", "t + 8", "t + 36"], ["t", "u + 1", "u + 37"], ["u", "v + 4", "v + 41"], ["v", 12, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"v": 12}, "is_reverse": true}} | 9,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = w + 18; l = v + 18; h = l + 19; x = z + 1; t = u + 1; n = a + 6; u = v + 4; w = f + 9; f = t + 8; a = j + 15; j = y + 19; v = 12; y = h + 3. If v = 12, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 18 to x, which gives x = w + 19.\n2. Substitute w = f + 9 to x, which gives x = f + 28.\n3. Substitute f = t + 8 to x, which gives x = t + 36.\n4. Substitute t = u + 1 to x, which gives x = u + 37.\n5. Substitute u = v + 4 to x, which gives x = v + 41.\n6. Substitute v = 12 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 9464,
"question": "Consider a system of variables where each variable is defined as follows: z = w + 18; l = v + 18; h = l + 19; x = z + 1; t = u + 1; n = a + 6; u = v + 4; w = f + 9; f = t + 8; a = j + 15; j = y + 19; v = 12; y = h + 3. If v = 12, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 3", "b": "f + 12", "p": "b + 15", "q": "p + 12", "l": "q + 18", "u": "l + 9", "c": "d + 6", "o": "c + 2", "e": "o + 19", "j": "e + 11", "r": "j + 7", "a": "r + 11", "d": 13}, "premises": {"d": 13}, "target": "u"}, "answer": {"steps": [["l", "q + 18", "q + 27"], ["q", "p + 12", "p + 39"], ["p", "b + 15", "b + 54"], ["b", "f + 12", "f + 66"], ["f", "d + 3", "d + 69"], ["d", 13, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"d": 13}, "is_reverse": true}} | 9,465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 2; b = f + 12; j = e + 11; l = q + 18; e = o + 19; p = b + 15; f = d + 3; c = d + 6; u = l + 9; q = p + 12; r = j + 7; a = r + 11; d = 13. Given that d = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 18 to u, which gives u = q + 27.\n2. Substitute q = p + 12 to u, which gives u = p + 39.\n3. Substitute p = b + 15 to u, which gives u = b + 54.\n4. Substitute b = f + 12 to u, which gives u = f + 66.\n5. Substitute f = d + 3 to u, which gives u = d + 69.\n6. Substitute d = 13 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 9465,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 2; b = f + 12; j = e + 11; l = q + 18; e = o + 19; p = b + 15; f = d + 3; c = d + 6; u = l + 9; q = p + 12; r = j + 7; a = r + 11; d = 13. Given that d = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 16", "d": "q + 12", "l": "d + 15", "b": "l + 7", "k": "b + 19", "a": "k + 7", "u": "j + 16", "w": "u + 3", "p": "w + 7", "v": "p + 19", "r": "v + 5", "h": "r + 11", "j": 11}, "premises": {"j": 11}, "target": "a"}, "answer": {"steps": [["k", "b + 19", "b + 26"], ["b", "l + 7", "l + 33"], ["l", "d + 15", "d + 48"], ["d", "q + 12", "q + 60"], ["q", "j + 16", "j + 76"], ["j", 11, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"j": 11}, "is_reverse": true}} | 9,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 16; q = j + 16; h = r + 11; k = b + 19; v = p + 19; l = d + 15; d = q + 12; p = w + 7; a = k + 7; w = u + 3; b = l + 7; r = v + 5; j = 11. If j = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 19 to a, which gives a = b + 26.\n2. Substitute b = l + 7 to a, which gives a = l + 33.\n3. Substitute l = d + 15 to a, which gives a = d + 48.\n4. Substitute d = q + 12 to a, which gives a = q + 60.\n5. Substitute q = j + 16 to a, which gives a = j + 76.\n6. Substitute j = 11 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 9466,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 16; q = j + 16; h = r + 11; k = b + 19; v = p + 19; l = d + 15; d = q + 12; p = w + 7; a = k + 7; w = u + 3; b = l + 7; r = v + 5; j = 11. If j = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 10", "m": "b + 12", "o": "m + 13", "v": "o + 14", "c": "v + 3", "h": "c + 13", "l": "w + 10", "x": "l + 6", "f": "x + 12", "i": "f + 2", "j": "i + 11", "z": "j + 7", "w": 19}, "premises": {"w": 19}, "target": "h"}, "answer": {"steps": [["c", "v + 3", "v + 16"], ["v", "o + 14", "o + 30"], ["o", "m + 13", "m + 43"], ["m", "b + 12", "b + 55"], ["b", "w + 10", "w + 65"], ["w", 19, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"w": 19}, "is_reverse": true}} | 9,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 12; i = f + 2; z = j + 7; h = c + 13; l = w + 10; j = i + 11; w = 19; o = m + 13; f = x + 12; v = o + 14; b = w + 10; c = v + 3; x = l + 6. Given that w = 19, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 3 to h, which gives h = v + 16.\n2. Substitute v = o + 14 to h, which gives h = o + 30.\n3. Substitute o = m + 13 to h, which gives h = m + 43.\n4. Substitute m = b + 12 to h, which gives h = b + 55.\n5. Substitute b = w + 10 to h, which gives h = w + 65.\n6. Substitute w = 19 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 9467,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 12; i = f + 2; z = j + 7; h = c + 13; l = w + 10; j = i + 11; w = 19; o = m + 13; f = x + 12; v = o + 14; b = w + 10; c = v + 3; x = l + 6. Given that w = 19, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 7", "k": "z + 19", "y": "k + 6", "r": "y + 17", "f": "r + 13", "d": "f + 17", "c": "e + 18", "m": "c + 16", "s": "m + 2", "q": "s + 20", "g": "q + 2", "x": "g + 14", "e": 7}, "premises": {"e": 7}, "target": "d"}, "answer": {"steps": [["f", "r + 13", "r + 30"], ["r", "y + 17", "y + 47"], ["y", "k + 6", "k + 53"], ["k", "z + 19", "z + 72"], ["z", "e + 7", "e + 79"], ["e", 7, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"e": 7}, "is_reverse": true}} | 9,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 16; e = 7; k = z + 19; d = f + 17; y = k + 6; x = g + 14; f = r + 13; q = s + 20; r = y + 17; g = q + 2; s = m + 2; z = e + 7; c = e + 18. If e = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 13 to d, which gives d = r + 30.\n2. Substitute r = y + 17 to d, which gives d = y + 47.\n3. Substitute y = k + 6 to d, which gives d = k + 53.\n4. Substitute k = z + 19 to d, which gives d = z + 72.\n5. Substitute z = e + 7 to d, which gives d = e + 79.\n6. Substitute e = 7 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 9468,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 16; e = 7; k = z + 19; d = f + 17; y = k + 6; x = g + 14; f = r + 13; q = s + 20; r = y + 17; g = q + 2; s = m + 2; z = e + 7; c = e + 18. If e = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 5", "g": "x + 1", "w": "g + 15", "z": "w + 10", "r": "z + 8", "n": "r + 8", "t": "l + 10", "p": "t + 2", "h": "p + 12", "b": "h + 3", "a": "b + 4", "m": "a + 11", "l": 12}, "premises": {"l": 12}, "target": "n"}, "answer": {"steps": [["r", "z + 8", "z + 16"], ["z", "w + 10", "w + 26"], ["w", "g + 15", "g + 41"], ["g", "x + 1", "x + 42"], ["x", "l + 5", "l + 47"], ["l", 12, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"l": 12}, "is_reverse": true}} | 9,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 10; l = 12; r = z + 8; h = p + 12; b = h + 3; m = a + 11; x = l + 5; n = r + 8; a = b + 4; p = t + 2; w = g + 15; g = x + 1; z = w + 10. Given that l = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 8 to n, which gives n = z + 16.\n2. Substitute z = w + 10 to n, which gives n = w + 26.\n3. Substitute w = g + 15 to n, which gives n = g + 41.\n4. Substitute g = x + 1 to n, which gives n = x + 42.\n5. Substitute x = l + 5 to n, which gives n = l + 47.\n6. Substitute l = 12 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 9469,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 10; l = 12; r = z + 8; h = p + 12; b = h + 3; m = a + 11; x = l + 5; n = r + 8; a = b + 4; p = t + 2; w = g + 15; g = x + 1; z = w + 10. Given that l = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 18", "b": "v + 1", "h": "b + 17", "n": "h + 18", "x": "n + 5", "f": "x + 18", "g": "c + 4", "w": "g + 8", "e": "w + 19", "a": "e + 7", "j": "a + 1", "d": "j + 11", "c": 20}, "premises": {"c": 20}, "target": "f"}, "answer": {"steps": [["x", "n + 5", "n + 23"], ["n", "h + 18", "h + 41"], ["h", "b + 17", "b + 58"], ["b", "v + 1", "v + 59"], ["v", "c + 18", "c + 77"], ["c", 20, "97"]], "target_var_name": "f", "target_value": 97, "value_dict": {"c": 20}, "is_reverse": true}} | 9,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = c + 18; g = c + 4; c = 20; f = x + 18; b = v + 1; x = n + 5; d = j + 11; a = e + 7; w = g + 8; j = a + 1; h = b + 17; e = w + 19; n = h + 18. Given that c = 20, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 5 to f, which gives f = n + 23.\n2. Substitute n = h + 18 to f, which gives f = h + 41.\n3. Substitute h = b + 17 to f, which gives f = b + 58.\n4. Substitute b = v + 1 to f, which gives f = v + 59.\n5. Substitute v = c + 18 to f, which gives f = c + 77.\n6. Substitute c = 20 to f, which gives f = 97.\n\nThus, the final answer is f = \\boxed{97}.",
"index": 9470,
"question": "Suppose a collection of variables is related by the following definitions: v = c + 18; g = c + 4; c = 20; f = x + 18; b = v + 1; x = n + 5; d = j + 11; a = e + 7; w = g + 8; j = a + 1; h = b + 17; e = w + 19; n = h + 18. Given that c = 20, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 8", "u": "l + 5", "j": "u + 14", "k": "j + 12", "e": "k + 4", "p": "e + 2", "d": "n + 13", "s": "d + 10", "w": "s + 10", "y": "w + 6", "r": "y + 11", "o": "r + 19", "n": 14}, "premises": {"n": 14}, "target": "p"}, "answer": {"steps": [["e", "k + 4", "k + 6"], ["k", "j + 12", "j + 18"], ["j", "u + 14", "u + 32"], ["u", "l + 5", "l + 37"], ["l", "n + 8", "n + 45"], ["n", 14, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"n": 14}, "is_reverse": true}} | 9,471 | 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 = e + 2; j = u + 14; e = k + 4; s = d + 10; u = l + 5; w = s + 10; l = n + 8; y = w + 6; d = n + 13; n = 14; r = y + 11; o = r + 19; k = j + 12. If n = 14, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 4 to p, which gives p = k + 6.\n2. Substitute k = j + 12 to p, which gives p = j + 18.\n3. Substitute j = u + 14 to p, which gives p = u + 32.\n4. Substitute u = l + 5 to p, which gives p = l + 37.\n5. Substitute l = n + 8 to p, which gives p = n + 45.\n6. Substitute n = 14 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 9471,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 2; j = u + 14; e = k + 4; s = d + 10; u = l + 5; w = s + 10; l = n + 8; y = w + 6; d = n + 13; n = 14; r = y + 11; o = r + 19; k = j + 12. If n = 14, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 4", "n": "v + 9", "k": "n + 14", "s": "k + 19", "z": "s + 20", "h": "z + 2", "f": "d + 4", "l": "f + 15", "w": "l + 2", "q": "w + 11", "a": "q + 5", "o": "a + 15", "d": 4}, "premises": {"d": 4}, "target": "h"}, "answer": {"steps": [["z", "s + 20", "s + 22"], ["s", "k + 19", "k + 41"], ["k", "n + 14", "n + 55"], ["n", "v + 9", "v + 64"], ["v", "d + 4", "d + 68"], ["d", 4, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"d": 4}, "is_reverse": true}} | 9,472 | 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 = d + 4; d = 4; s = k + 19; h = z + 2; a = q + 5; o = a + 15; w = l + 2; n = v + 9; q = w + 11; k = n + 14; l = f + 15; z = s + 20; v = d + 4. If d = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 20 to h, which gives h = s + 22.\n2. Substitute s = k + 19 to h, which gives h = k + 41.\n3. Substitute k = n + 14 to h, which gives h = n + 55.\n4. Substitute n = v + 9 to h, which gives h = v + 64.\n5. Substitute v = d + 4 to h, which gives h = d + 68.\n6. Substitute d = 4 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 9472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 4; d = 4; s = k + 19; h = z + 2; a = q + 5; o = a + 15; w = l + 2; n = v + 9; q = w + 11; k = n + 14; l = f + 15; z = s + 20; v = d + 4. If d = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 12", "t": "e + 19", "z": "t + 13", "u": "z + 20", "a": "u + 20", "y": "a + 11", "d": "b + 11", "j": "d + 18", "h": "j + 1", "m": "h + 9", "r": "m + 17", "o": "r + 2", "b": 15}, "premises": {"b": 15}, "target": "y"}, "answer": {"steps": [["a", "u + 20", "u + 31"], ["u", "z + 20", "z + 51"], ["z", "t + 13", "t + 64"], ["t", "e + 19", "e + 83"], ["e", "b + 12", "b + 95"], ["b", 15, "110"]], "target_var_name": "y", "target_value": 110, "value_dict": {"b": 15}, "is_reverse": true}} | 9,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 2; z = t + 13; h = j + 1; d = b + 11; u = z + 20; b = 15; e = b + 12; m = h + 9; t = e + 19; r = m + 17; y = a + 11; j = d + 18; a = u + 20. Given that b = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 20 to y, which gives y = u + 31.\n2. Substitute u = z + 20 to y, which gives y = z + 51.\n3. Substitute z = t + 13 to y, which gives y = t + 64.\n4. Substitute t = e + 19 to y, which gives y = e + 83.\n5. Substitute e = b + 12 to y, which gives y = b + 95.\n6. Substitute b = 15 to y, which gives y = 110.\n\nThus, the final answer is y = \\boxed{110}.",
"index": 9473,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 2; z = t + 13; h = j + 1; d = b + 11; u = z + 20; b = 15; e = b + 12; m = h + 9; t = e + 19; r = m + 17; y = a + 11; j = d + 18; a = u + 20. Given that b = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"b": "x + 10", "k": "b + 9", "o": "k + 13", "f": "o + 12", "t": "f + 5", "d": "t + 20", "s": "x + 20", "c": "s + 9", "g": "c + 16", "w": "g + 2", "p": "w + 8", "r": "p + 7", "x": 17}, "premises": {"x": 17}, "target": "d"}, "answer": {"steps": [["t", "f + 5", "f + 25"], ["f", "o + 12", "o + 37"], ["o", "k + 13", "k + 50"], ["k", "b + 9", "b + 59"], ["b", "x + 10", "x + 69"], ["x", 17, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"x": 17}, "is_reverse": true}} | 9,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 20; x = 17; t = f + 5; b = x + 10; r = p + 7; o = k + 13; d = t + 20; c = s + 9; p = w + 8; w = g + 2; k = b + 9; f = o + 12; g = c + 16. Given that x = 17, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 5 to d, which gives d = f + 25.\n2. Substitute f = o + 12 to d, which gives d = o + 37.\n3. Substitute o = k + 13 to d, which gives d = k + 50.\n4. Substitute k = b + 9 to d, which gives d = b + 59.\n5. Substitute b = x + 10 to d, which gives d = x + 69.\n6. Substitute x = 17 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 9474,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 20; x = 17; t = f + 5; b = x + 10; r = p + 7; o = k + 13; d = t + 20; c = s + 9; p = w + 8; w = g + 2; k = b + 9; f = o + 12; g = c + 16. Given that x = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 7", "y": "e + 5", "b": "y + 3", "q": "b + 17", "t": "q + 2", "w": "t + 7", "u": "d + 1", "j": "u + 15", "l": "j + 6", "v": "l + 17", "a": "v + 14", "k": "a + 16", "d": 20}, "premises": {"d": 20}, "target": "w"}, "answer": {"steps": [["t", "q + 2", "q + 9"], ["q", "b + 17", "b + 26"], ["b", "y + 3", "y + 29"], ["y", "e + 5", "e + 34"], ["e", "d + 7", "d + 41"], ["d", 20, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"d": 20}, "is_reverse": true}} | 9,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = v + 14; w = t + 7; u = d + 1; b = y + 3; l = j + 6; q = b + 17; v = l + 17; d = 20; j = u + 15; t = q + 2; e = d + 7; k = a + 16; y = e + 5. If d = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = q + 2 to w, which gives w = q + 9.\n2. Substitute q = b + 17 to w, which gives w = b + 26.\n3. Substitute b = y + 3 to w, which gives w = y + 29.\n4. Substitute y = e + 5 to w, which gives w = e + 34.\n5. Substitute e = d + 7 to w, which gives w = d + 41.\n6. Substitute d = 20 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 9475,
"question": "Consider a system of variables where each variable is defined as follows: a = v + 14; w = t + 7; u = d + 1; b = y + 3; l = j + 6; q = b + 17; v = l + 17; d = 20; j = u + 15; t = q + 2; e = d + 7; k = a + 16; y = e + 5. If d = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 3", "z": "n + 15", "y": "z + 19", "r": "y + 16", "t": "r + 12", "h": "t + 19", "s": "f + 19", "v": "s + 11", "m": "v + 10", "w": "m + 7", "i": "w + 17", "e": "i + 10", "f": 9}, "premises": {"f": 9}, "target": "h"}, "answer": {"steps": [["t", "r + 12", "r + 31"], ["r", "y + 16", "y + 47"], ["y", "z + 19", "z + 66"], ["z", "n + 15", "n + 81"], ["n", "f + 3", "f + 84"], ["f", 9, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"f": 9}, "is_reverse": true}} | 9,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 19; e = i + 10; m = v + 10; y = z + 19; r = y + 16; i = w + 17; w = m + 7; f = 9; n = f + 3; t = r + 12; z = n + 15; v = s + 11; s = f + 19. If f = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 12 to h, which gives h = r + 31.\n2. Substitute r = y + 16 to h, which gives h = y + 47.\n3. Substitute y = z + 19 to h, which gives h = z + 66.\n4. Substitute z = n + 15 to h, which gives h = n + 81.\n5. Substitute n = f + 3 to h, which gives h = f + 84.\n6. Substitute f = 9 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 9476,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 19; e = i + 10; m = v + 10; y = z + 19; r = y + 16; i = w + 17; w = m + 7; f = 9; n = f + 3; t = r + 12; z = n + 15; v = s + 11; s = f + 19. If f = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 19", "a": "x + 16", "p": "a + 10", "d": "p + 9", "i": "d + 4", "o": "i + 1", "f": "v + 20", "s": "f + 5", "r": "s + 1", "g": "r + 8", "l": "g + 1", "u": "l + 18", "v": 2}, "premises": {"v": 2}, "target": "o"}, "answer": {"steps": [["i", "d + 4", "d + 5"], ["d", "p + 9", "p + 14"], ["p", "a + 10", "a + 24"], ["a", "x + 16", "x + 40"], ["x", "v + 19", "v + 59"], ["v", 2, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"v": 2}, "is_reverse": true}} | 9,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 1; a = x + 16; v = 2; f = v + 20; x = v + 19; u = l + 18; g = r + 8; d = p + 9; i = d + 4; p = a + 10; l = g + 1; s = f + 5; r = s + 1. If v = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 4 to o, which gives o = d + 5.\n2. Substitute d = p + 9 to o, which gives o = p + 14.\n3. Substitute p = a + 10 to o, which gives o = a + 24.\n4. Substitute a = x + 16 to o, which gives o = x + 40.\n5. Substitute x = v + 19 to o, which gives o = v + 59.\n6. Substitute v = 2 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 9477,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 1; a = x + 16; v = 2; f = v + 20; x = v + 19; u = l + 18; g = r + 8; d = p + 9; i = d + 4; p = a + 10; l = g + 1; s = f + 5; r = s + 1. If v = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 16", "o": "m + 8", "e": "o + 15", "r": "e + 14", "w": "r + 11", "j": "w + 4", "z": "k + 2", "u": "z + 20", "a": "u + 2", "f": "a + 4", "t": "f + 7", "c": "t + 11", "k": 18}, "premises": {"k": 18}, "target": "j"}, "answer": {"steps": [["w", "r + 11", "r + 15"], ["r", "e + 14", "e + 29"], ["e", "o + 15", "o + 44"], ["o", "m + 8", "m + 52"], ["m", "k + 16", "k + 68"], ["k", 18, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"k": 18}, "is_reverse": true}} | 9,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = r + 11; f = a + 4; e = o + 15; k = 18; a = u + 2; z = k + 2; u = z + 20; t = f + 7; r = e + 14; m = k + 16; c = t + 11; j = w + 4; o = m + 8. Given that k = 18, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 11 to j, which gives j = r + 15.\n2. Substitute r = e + 14 to j, which gives j = e + 29.\n3. Substitute e = o + 15 to j, which gives j = o + 44.\n4. Substitute o = m + 8 to j, which gives j = m + 52.\n5. Substitute m = k + 16 to j, which gives j = k + 68.\n6. Substitute k = 18 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 9478,
"question": "Suppose a collection of variables is related by the following definitions: w = r + 11; f = a + 4; e = o + 15; k = 18; a = u + 2; z = k + 2; u = z + 20; t = f + 7; r = e + 14; m = k + 16; c = t + 11; j = w + 4; o = m + 8. Given that k = 18, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 16", "n": "w + 9", "k": "n + 4", "i": "k + 3", "z": "i + 20", "q": "z + 15", "p": "a + 12", "s": "p + 13", "t": "s + 2", "l": "t + 5", "h": "l + 9", "m": "h + 10", "a": 6}, "premises": {"a": 6}, "target": "q"}, "answer": {"steps": [["z", "i + 20", "i + 35"], ["i", "k + 3", "k + 38"], ["k", "n + 4", "n + 42"], ["n", "w + 9", "w + 51"], ["w", "a + 16", "a + 67"], ["a", 6, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"a": 6}, "is_reverse": true}} | 9,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 4; a = 6; n = w + 9; z = i + 20; h = l + 9; l = t + 5; t = s + 2; s = p + 13; q = z + 15; w = a + 16; p = a + 12; i = k + 3; m = h + 10. Given that a = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 20 to q, which gives q = i + 35.\n2. Substitute i = k + 3 to q, which gives q = k + 38.\n3. Substitute k = n + 4 to q, which gives q = n + 42.\n4. Substitute n = w + 9 to q, which gives q = w + 51.\n5. Substitute w = a + 16 to q, which gives q = a + 67.\n6. Substitute a = 6 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 9479,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 4; a = 6; n = w + 9; z = i + 20; h = l + 9; l = t + 5; t = s + 2; s = p + 13; q = z + 15; w = a + 16; p = a + 12; i = k + 3; m = h + 10. Given that a = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 4", "p": "j + 4", "i": "p + 12", "e": "i + 20", "u": "e + 11", "s": "u + 8", "f": "d + 16", "y": "f + 18", "w": "y + 16", "z": "w + 10", "o": "z + 3", "c": "o + 5", "d": 1}, "premises": {"d": 1}, "target": "s"}, "answer": {"steps": [["u", "e + 11", "e + 19"], ["e", "i + 20", "i + 39"], ["i", "p + 12", "p + 51"], ["p", "j + 4", "j + 55"], ["j", "d + 4", "d + 59"], ["d", 1, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"d": 1}, "is_reverse": true}} | 9,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = z + 3; u = e + 11; c = o + 5; d = 1; w = y + 16; y = f + 18; f = d + 16; s = u + 8; e = i + 20; p = j + 4; i = p + 12; j = d + 4; z = w + 10. Given that d = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 11 to s, which gives s = e + 19.\n2. Substitute e = i + 20 to s, which gives s = i + 39.\n3. Substitute i = p + 12 to s, which gives s = p + 51.\n4. Substitute p = j + 4 to s, which gives s = j + 55.\n5. Substitute j = d + 4 to s, which gives s = d + 59.\n6. Substitute d = 1 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 9480,
"question": "Suppose a collection of variables is related by the following definitions: o = z + 3; u = e + 11; c = o + 5; d = 1; w = y + 16; y = f + 18; f = d + 16; s = u + 8; e = i + 20; p = j + 4; i = p + 12; j = d + 4; z = w + 10. Given that d = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 20", "p": "t + 2", "v": "p + 6", "x": "v + 9", "k": "x + 16", "n": "k + 8", "w": "i + 17", "o": "w + 14", "q": "o + 8", "h": "q + 20", "a": "h + 10", "c": "a + 9", "i": 11}, "premises": {"i": 11}, "target": "n"}, "answer": {"steps": [["k", "x + 16", "x + 24"], ["x", "v + 9", "v + 33"], ["v", "p + 6", "p + 39"], ["p", "t + 2", "t + 41"], ["t", "i + 20", "i + 61"], ["i", 11, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"i": 11}, "is_reverse": true}} | 9,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 20; x = v + 9; p = t + 2; v = p + 6; i = 11; c = a + 9; a = h + 10; k = x + 16; q = o + 8; n = k + 8; h = q + 20; o = w + 14; w = i + 17. If i = 11, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 16 to n, which gives n = x + 24.\n2. Substitute x = v + 9 to n, which gives n = v + 33.\n3. Substitute v = p + 6 to n, which gives n = p + 39.\n4. Substitute p = t + 2 to n, which gives n = t + 41.\n5. Substitute t = i + 20 to n, which gives n = i + 61.\n6. Substitute i = 11 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 9481,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 20; x = v + 9; p = t + 2; v = p + 6; i = 11; c = a + 9; a = h + 10; k = x + 16; q = o + 8; n = k + 8; h = q + 20; o = w + 14; w = i + 17. If i = 11, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 19", "e": "r + 19", "x": "e + 17", "d": "x + 11", "z": "d + 13", "o": "z + 17", "y": "s + 15", "n": "y + 16", "i": "n + 9", "l": "i + 8", "f": "l + 2", "k": "f + 2", "s": 3}, "premises": {"s": 3}, "target": "o"}, "answer": {"steps": [["z", "d + 13", "d + 30"], ["d", "x + 11", "x + 41"], ["x", "e + 17", "e + 58"], ["e", "r + 19", "r + 77"], ["r", "s + 19", "s + 96"], ["s", 3, "99"]], "target_var_name": "o", "target_value": 99, "value_dict": {"s": 3}, "is_reverse": true}} | 9,482 | 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 = d + 13; o = z + 17; l = i + 8; n = y + 16; r = s + 19; y = s + 15; s = 3; f = l + 2; e = r + 19; d = x + 11; x = e + 17; i = n + 9; k = f + 2. If s = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 13 to o, which gives o = d + 30.\n2. Substitute d = x + 11 to o, which gives o = x + 41.\n3. Substitute x = e + 17 to o, which gives o = e + 58.\n4. Substitute e = r + 19 to o, which gives o = r + 77.\n5. Substitute r = s + 19 to o, which gives o = s + 96.\n6. Substitute s = 3 to o, which gives o = 99.\n\nThus, the final answer is o = \\boxed{99}.",
"index": 9482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = d + 13; o = z + 17; l = i + 8; n = y + 16; r = s + 19; y = s + 15; s = 3; f = l + 2; e = r + 19; d = x + 11; x = e + 17; i = n + 9; k = f + 2. If s = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 17", "d": "e + 11", "k": "d + 15", "a": "k + 13", "g": "a + 12", "w": "g + 4", "j": "s + 15", "i": "j + 18", "h": "i + 18", "r": "h + 5", "z": "r + 16", "c": "z + 7", "s": 9}, "premises": {"s": 9}, "target": "w"}, "answer": {"steps": [["g", "a + 12", "a + 16"], ["a", "k + 13", "k + 29"], ["k", "d + 15", "d + 44"], ["d", "e + 11", "e + 55"], ["e", "s + 17", "s + 72"], ["s", 9, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"s": 9}, "is_reverse": true}} | 9,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 7; a = k + 13; z = r + 16; g = a + 12; k = d + 15; d = e + 11; s = 9; r = h + 5; j = s + 15; i = j + 18; e = s + 17; w = g + 4; h = i + 18. If s = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 12 to w, which gives w = a + 16.\n2. Substitute a = k + 13 to w, which gives w = k + 29.\n3. Substitute k = d + 15 to w, which gives w = d + 44.\n4. Substitute d = e + 11 to w, which gives w = e + 55.\n5. Substitute e = s + 17 to w, which gives w = s + 72.\n6. Substitute s = 9 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 9483,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 7; a = k + 13; z = r + 16; g = a + 12; k = d + 15; d = e + 11; s = 9; r = h + 5; j = s + 15; i = j + 18; e = s + 17; w = g + 4; h = i + 18. If s = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 9", "w": "q + 5", "t": "w + 13", "n": "t + 10", "u": "n + 18", "i": "u + 5", "c": "e + 9", "j": "c + 17", "z": "j + 11", "x": "z + 8", "k": "x + 1", "b": "k + 19", "e": 2}, "premises": {"e": 2}, "target": "i"}, "answer": {"steps": [["u", "n + 18", "n + 23"], ["n", "t + 10", "t + 33"], ["t", "w + 13", "w + 46"], ["w", "q + 5", "q + 51"], ["q", "e + 9", "e + 60"], ["e", 2, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"e": 2}, "is_reverse": true}} | 9,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = q + 5; e = 2; k = x + 1; b = k + 19; t = w + 13; n = t + 10; u = n + 18; c = e + 9; j = c + 17; x = z + 8; z = j + 11; i = u + 5; q = e + 9. If e = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = n + 18 to i, which gives i = n + 23.\n2. Substitute n = t + 10 to i, which gives i = t + 33.\n3. Substitute t = w + 13 to i, which gives i = w + 46.\n4. Substitute w = q + 5 to i, which gives i = q + 51.\n5. Substitute q = e + 9 to i, which gives i = e + 60.\n6. Substitute e = 2 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 9484,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 5; e = 2; k = x + 1; b = k + 19; t = w + 13; n = t + 10; u = n + 18; c = e + 9; j = c + 17; x = z + 8; z = j + 11; i = u + 5; q = e + 9. If e = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 13", "f": "o + 2", "i": "f + 12", "e": "i + 18", "g": "e + 19", "c": "g + 14", "y": "l + 16", "q": "y + 12", "s": "q + 3", "w": "s + 1", "p": "w + 19", "u": "p + 5", "l": 17}, "premises": {"l": 17}, "target": "c"}, "answer": {"steps": [["g", "e + 19", "e + 33"], ["e", "i + 18", "i + 51"], ["i", "f + 12", "f + 63"], ["f", "o + 2", "o + 65"], ["o", "l + 13", "l + 78"], ["l", 17, "95"]], "target_var_name": "c", "target_value": 95, "value_dict": {"l": 17}, "is_reverse": true}} | 9,485 | 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 = o + 2; c = g + 14; s = q + 3; u = p + 5; y = l + 16; p = w + 19; e = i + 18; l = 17; i = f + 12; o = l + 13; w = s + 1; q = y + 12; g = e + 19. If l = 17, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 19 to c, which gives c = e + 33.\n2. Substitute e = i + 18 to c, which gives c = i + 51.\n3. Substitute i = f + 12 to c, which gives c = f + 63.\n4. Substitute f = o + 2 to c, which gives c = o + 65.\n5. Substitute o = l + 13 to c, which gives c = l + 78.\n6. Substitute l = 17 to c, which gives c = 95.\n\nThus, the final answer is c = \\boxed{95}.",
"index": 9485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = o + 2; c = g + 14; s = q + 3; u = p + 5; y = l + 16; p = w + 19; e = i + 18; l = 17; i = f + 12; o = l + 13; w = s + 1; q = y + 12; g = e + 19. If l = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 7", "z": "h + 10", "y": "z + 11", "i": "y + 1", "s": "i + 1", "k": "s + 15", "r": "f + 8", "e": "r + 15", "x": "e + 13", "d": "x + 12", "t": "d + 15", "w": "t + 19", "f": 5}, "premises": {"f": 5}, "target": "k"}, "answer": {"steps": [["s", "i + 1", "i + 16"], ["i", "y + 1", "y + 17"], ["y", "z + 11", "z + 28"], ["z", "h + 10", "h + 38"], ["h", "f + 7", "f + 45"], ["f", 5, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"f": 5}, "is_reverse": true}} | 9,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 11; d = x + 12; w = t + 19; s = i + 1; e = r + 15; z = h + 10; r = f + 8; t = d + 15; h = f + 7; k = s + 15; i = y + 1; f = 5; x = e + 13. If f = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 1 to k, which gives k = i + 16.\n2. Substitute i = y + 1 to k, which gives k = y + 17.\n3. Substitute y = z + 11 to k, which gives k = z + 28.\n4. Substitute z = h + 10 to k, which gives k = h + 38.\n5. Substitute h = f + 7 to k, which gives k = f + 45.\n6. Substitute f = 5 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 9486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = z + 11; d = x + 12; w = t + 19; s = i + 1; e = r + 15; z = h + 10; r = f + 8; t = d + 15; h = f + 7; k = s + 15; i = y + 1; f = 5; x = e + 13. If f = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 2", "o": "r + 15", "q": "o + 13", "a": "q + 4", "w": "a + 9", "e": "w + 16", "s": "b + 3", "l": "s + 9", "j": "l + 8", "m": "j + 4", "y": "m + 14", "x": "y + 19", "b": 1}, "premises": {"b": 1}, "target": "e"}, "answer": {"steps": [["w", "a + 9", "a + 25"], ["a", "q + 4", "q + 29"], ["q", "o + 13", "o + 42"], ["o", "r + 15", "r + 57"], ["r", "b + 2", "b + 59"], ["b", 1, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"b": 1}, "is_reverse": true}} | 9,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 19; e = w + 16; r = b + 2; l = s + 9; o = r + 15; w = a + 9; j = l + 8; y = m + 14; q = o + 13; a = q + 4; m = j + 4; s = b + 3; b = 1. If b = 1, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 9 to e, which gives e = a + 25.\n2. Substitute a = q + 4 to e, which gives e = q + 29.\n3. Substitute q = o + 13 to e, which gives e = o + 42.\n4. Substitute o = r + 15 to e, which gives e = r + 57.\n5. Substitute r = b + 2 to e, which gives e = b + 59.\n6. Substitute b = 1 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 9487,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 19; e = w + 16; r = b + 2; l = s + 9; o = r + 15; w = a + 9; j = l + 8; y = m + 14; q = o + 13; a = q + 4; m = j + 4; s = b + 3; b = 1. If b = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 2", "e": "q + 20", "y": "e + 8", "z": "y + 4", "h": "z + 4", "c": "h + 16", "g": "w + 3", "u": "g + 4", "j": "u + 20", "i": "j + 7", "r": "i + 7", "m": "r + 9", "w": 3}, "premises": {"w": 3}, "target": "c"}, "answer": {"steps": [["h", "z + 4", "z + 20"], ["z", "y + 4", "y + 24"], ["y", "e + 8", "e + 32"], ["e", "q + 20", "q + 52"], ["q", "w + 2", "w + 54"], ["w", 3, "57"]], "target_var_name": "c", "target_value": 57, "value_dict": {"w": 3}, "is_reverse": true}} | 9,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 16; r = i + 7; y = e + 8; i = j + 7; g = w + 3; z = y + 4; j = u + 20; u = g + 4; m = r + 9; w = 3; h = z + 4; e = q + 20; q = w + 2. Given that w = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 4 to c, which gives c = z + 20.\n2. Substitute z = y + 4 to c, which gives c = y + 24.\n3. Substitute y = e + 8 to c, which gives c = e + 32.\n4. Substitute e = q + 20 to c, which gives c = q + 52.\n5. Substitute q = w + 2 to c, which gives c = w + 54.\n6. Substitute w = 3 to c, which gives c = 57.\n\nThus, the final answer is c = \\boxed{57}.",
"index": 9488,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 16; r = i + 7; y = e + 8; i = j + 7; g = w + 3; z = y + 4; j = u + 20; u = g + 4; m = r + 9; w = 3; h = z + 4; e = q + 20; q = w + 2. Given that w = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 4", "a": "n + 13", "e": "a + 8", "b": "e + 20", "h": "b + 1", "k": "h + 7", "j": "x + 4", "y": "j + 20", "r": "y + 14", "w": "r + 20", "i": "w + 7", "g": "i + 9", "x": 7}, "premises": {"x": 7}, "target": "k"}, "answer": {"steps": [["h", "b + 1", "b + 8"], ["b", "e + 20", "e + 28"], ["e", "a + 8", "a + 36"], ["a", "n + 13", "n + 49"], ["n", "x + 4", "x + 53"], ["x", 7, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"x": 7}, "is_reverse": true}} | 9,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = e + 20; g = i + 9; e = a + 8; y = j + 20; j = x + 4; k = h + 7; a = n + 13; r = y + 14; h = b + 1; x = 7; w = r + 20; n = x + 4; i = w + 7. If x = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 1 to k, which gives k = b + 8.\n2. Substitute b = e + 20 to k, which gives k = e + 28.\n3. Substitute e = a + 8 to k, which gives k = a + 36.\n4. Substitute a = n + 13 to k, which gives k = n + 49.\n5. Substitute n = x + 4 to k, which gives k = x + 53.\n6. Substitute x = 7 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 9489,
"question": "Consider a system of variables where each variable is defined as follows: b = e + 20; g = i + 9; e = a + 8; y = j + 20; j = x + 4; k = h + 7; a = n + 13; r = y + 14; h = b + 1; x = 7; w = r + 20; n = x + 4; i = w + 7. If x = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 6", "k": "r + 8", "n": "k + 5", "j": "n + 9", "m": "j + 1", "b": "m + 2", "s": "d + 15", "q": "s + 8", "x": "q + 18", "c": "x + 12", "w": "c + 1", "y": "w + 7", "d": 16}, "premises": {"d": 16}, "target": "b"}, "answer": {"steps": [["m", "j + 1", "j + 3"], ["j", "n + 9", "n + 12"], ["n", "k + 5", "k + 17"], ["k", "r + 8", "r + 25"], ["r", "d + 6", "d + 31"], ["d", 16, "47"]], "target_var_name": "b", "target_value": 47, "value_dict": {"d": 16}, "is_reverse": true}} | 9,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = m + 2; q = s + 8; r = d + 6; n = k + 5; w = c + 1; s = d + 15; c = x + 12; m = j + 1; d = 16; y = w + 7; x = q + 18; k = r + 8; j = n + 9. If d = 16, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 1 to b, which gives b = j + 3.\n2. Substitute j = n + 9 to b, which gives b = n + 12.\n3. Substitute n = k + 5 to b, which gives b = k + 17.\n4. Substitute k = r + 8 to b, which gives b = r + 25.\n5. Substitute r = d + 6 to b, which gives b = d + 31.\n6. Substitute d = 16 to b, which gives b = 47.\n\nThus, the final answer is b = \\boxed{47}.",
"index": 9490,
"question": "Consider a system of variables where each variable is defined as follows: b = m + 2; q = s + 8; r = d + 6; n = k + 5; w = c + 1; s = d + 15; c = x + 12; m = j + 1; d = 16; y = w + 7; x = q + 18; k = r + 8; j = n + 9. If d = 16, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 6", "h": "b + 13", "g": "h + 7", "q": "g + 5", "c": "q + 4", "m": "c + 9", "a": "r + 3", "v": "a + 2", "x": "v + 15", "k": "x + 4", "l": "k + 7", "w": "l + 13", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["c", "q + 4", "q + 13"], ["q", "g + 5", "g + 18"], ["g", "h + 7", "h + 25"], ["h", "b + 13", "b + 38"], ["b", "r + 6", "r + 44"], ["r", 6, "50"]], "target_var_name": "m", "target_value": 50, "value_dict": {"r": 6}, "is_reverse": true}} | 9,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 3; k = x + 4; m = c + 9; h = b + 13; v = a + 2; x = v + 15; c = q + 4; b = r + 6; r = 6; w = l + 13; l = k + 7; g = h + 7; q = g + 5. If r = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 4 to m, which gives m = q + 13.\n2. Substitute q = g + 5 to m, which gives m = g + 18.\n3. Substitute g = h + 7 to m, which gives m = h + 25.\n4. Substitute h = b + 13 to m, which gives m = b + 38.\n5. Substitute b = r + 6 to m, which gives m = r + 44.\n6. Substitute r = 6 to m, which gives m = 50.\n\nThus, the final answer is m = \\boxed{50}.",
"index": 9491,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 3; k = x + 4; m = c + 9; h = b + 13; v = a + 2; x = v + 15; c = q + 4; b = r + 6; r = 6; w = l + 13; l = k + 7; g = h + 7; q = g + 5. If r = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 17", "u": "x + 3", "f": "u + 11", "a": "f + 6", "t": "a + 6", "h": "t + 15", "n": "j + 5", "y": "n + 4", "v": "y + 4", "z": "v + 17", "q": "z + 12", "e": "q + 5", "j": 2}, "premises": {"j": 2}, "target": "h"}, "answer": {"steps": [["t", "a + 6", "a + 21"], ["a", "f + 6", "f + 27"], ["f", "u + 11", "u + 38"], ["u", "x + 3", "x + 41"], ["x", "j + 17", "j + 58"], ["j", 2, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"j": 2}, "is_reverse": true}} | 9,492 | 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 + 17; n = j + 5; y = n + 4; h = t + 15; q = z + 12; a = f + 6; v = y + 4; u = x + 3; j = 2; e = q + 5; f = u + 11; t = a + 6; z = v + 17. If j = 2, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 6 to h, which gives h = a + 21.\n2. Substitute a = f + 6 to h, which gives h = f + 27.\n3. Substitute f = u + 11 to h, which gives h = u + 38.\n4. Substitute u = x + 3 to h, which gives h = x + 41.\n5. Substitute x = j + 17 to h, which gives h = j + 58.\n6. Substitute j = 2 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 9492,
"question": "Consider a system of variables where each variable is defined as follows: x = j + 17; n = j + 5; y = n + 4; h = t + 15; q = z + 12; a = f + 6; v = y + 4; u = x + 3; j = 2; e = q + 5; f = u + 11; t = a + 6; z = v + 17. If j = 2, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 1", "a": "z + 4", "h": "a + 15", "i": "h + 1", "k": "i + 5", "w": "k + 11", "e": "m + 10", "j": "e + 9", "b": "j + 20", "r": "b + 4", "g": "r + 10", "v": "g + 8", "m": 3}, "premises": {"m": 3}, "target": "w"}, "answer": {"steps": [["k", "i + 5", "i + 16"], ["i", "h + 1", "h + 17"], ["h", "a + 15", "a + 32"], ["a", "z + 4", "z + 36"], ["z", "m + 1", "m + 37"], ["m", 3, "40"]], "target_var_name": "w", "target_value": 40, "value_dict": {"m": 3}, "is_reverse": true}} | 9,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 11; v = g + 8; j = e + 9; e = m + 10; z = m + 1; g = r + 10; k = i + 5; a = z + 4; h = a + 15; r = b + 4; b = j + 20; i = h + 1; m = 3. Given that m = 3, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 5 to w, which gives w = i + 16.\n2. Substitute i = h + 1 to w, which gives w = h + 17.\n3. Substitute h = a + 15 to w, which gives w = a + 32.\n4. Substitute a = z + 4 to w, which gives w = z + 36.\n5. Substitute z = m + 1 to w, which gives w = m + 37.\n6. Substitute m = 3 to w, which gives w = 40.\n\nThus, the final answer is w = \\boxed{40}.",
"index": 9493,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 11; v = g + 8; j = e + 9; e = m + 10; z = m + 1; g = r + 10; k = i + 5; a = z + 4; h = a + 15; r = b + 4; b = j + 20; i = h + 1; m = 3. Given that m = 3, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 6", "w": "p + 5", "c": "w + 10", "h": "c + 19", "f": "h + 15", "z": "f + 8", "s": "b + 11", "t": "s + 6", "m": "t + 3", "q": "m + 17", "i": "q + 1", "o": "i + 15", "b": 6}, "premises": {"b": 6}, "target": "z"}, "answer": {"steps": [["f", "h + 15", "h + 23"], ["h", "c + 19", "c + 42"], ["c", "w + 10", "w + 52"], ["w", "p + 5", "p + 57"], ["p", "b + 6", "b + 63"], ["b", 6, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"b": 6}, "is_reverse": true}} | 9,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 6; h = c + 19; m = t + 3; o = i + 15; f = h + 15; z = f + 8; i = q + 1; p = b + 6; b = 6; q = m + 17; c = w + 10; s = b + 11; w = p + 5. If b = 6, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 15 to z, which gives z = h + 23.\n2. Substitute h = c + 19 to z, which gives z = c + 42.\n3. Substitute c = w + 10 to z, which gives z = w + 52.\n4. Substitute w = p + 5 to z, which gives z = p + 57.\n5. Substitute p = b + 6 to z, which gives z = b + 63.\n6. Substitute b = 6 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 9494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 6; h = c + 19; m = t + 3; o = i + 15; f = h + 15; z = f + 8; i = q + 1; p = b + 6; b = 6; q = m + 17; c = w + 10; s = b + 11; w = p + 5. If b = 6, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 4", "m": "s + 9", "p": "m + 12", "e": "p + 3", "x": "e + 10", "u": "x + 14", "v": "h + 4", "g": "v + 2", "a": "g + 6", "f": "a + 6", "r": "f + 7", "n": "r + 13", "h": 4}, "premises": {"h": 4}, "target": "u"}, "answer": {"steps": [["x", "e + 10", "e + 24"], ["e", "p + 3", "p + 27"], ["p", "m + 12", "m + 39"], ["m", "s + 9", "s + 48"], ["s", "h + 4", "h + 52"], ["h", 4, "56"]], "target_var_name": "u", "target_value": 56, "value_dict": {"h": 4}, "is_reverse": true}} | 9,495 | 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 = v + 2; s = h + 4; v = h + 4; f = a + 6; h = 4; n = r + 13; m = s + 9; r = f + 7; e = p + 3; x = e + 10; p = m + 12; u = x + 14; a = g + 6. If h = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 10 to u, which gives u = e + 24.\n2. Substitute e = p + 3 to u, which gives u = p + 27.\n3. Substitute p = m + 12 to u, which gives u = m + 39.\n4. Substitute m = s + 9 to u, which gives u = s + 48.\n5. Substitute s = h + 4 to u, which gives u = h + 52.\n6. Substitute h = 4 to u, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 9495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = v + 2; s = h + 4; v = h + 4; f = a + 6; h = 4; n = r + 13; m = s + 9; r = f + 7; e = p + 3; x = e + 10; p = m + 12; u = x + 14; a = g + 6. If h = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 5", "x": "g + 13", "m": "x + 10", "j": "m + 1", "k": "j + 9", "c": "k + 7", "d": "f + 20", "a": "d + 2", "o": "a + 8", "z": "o + 9", "y": "z + 5", "l": "y + 4", "f": 15}, "premises": {"f": 15}, "target": "c"}, "answer": {"steps": [["k", "j + 9", "j + 16"], ["j", "m + 1", "m + 17"], ["m", "x + 10", "x + 27"], ["x", "g + 13", "g + 40"], ["g", "f + 5", "f + 45"], ["f", 15, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"f": 15}, "is_reverse": true}} | 9,496 | 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 = d + 2; k = j + 9; y = z + 5; j = m + 1; m = x + 10; f = 15; c = k + 7; g = f + 5; o = a + 8; z = o + 9; x = g + 13; l = y + 4; d = f + 20. If f = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 9 to c, which gives c = j + 16.\n2. Substitute j = m + 1 to c, which gives c = m + 17.\n3. Substitute m = x + 10 to c, which gives c = x + 27.\n4. Substitute x = g + 13 to c, which gives c = g + 40.\n5. Substitute g = f + 5 to c, which gives c = f + 45.\n6. Substitute f = 15 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 9496,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 2; k = j + 9; y = z + 5; j = m + 1; m = x + 10; f = 15; c = k + 7; g = f + 5; o = a + 8; z = o + 9; x = g + 13; l = y + 4; d = f + 20. If f = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 9", "u": "w + 15", "z": "u + 12", "o": "z + 2", "d": "o + 7", "q": "d + 17", "t": "j + 17", "n": "t + 14", "v": "n + 15", "p": "v + 7", "x": "p + 4", "s": "x + 16", "j": 1}, "premises": {"j": 1}, "target": "q"}, "answer": {"steps": [["d", "o + 7", "o + 24"], ["o", "z + 2", "z + 26"], ["z", "u + 12", "u + 38"], ["u", "w + 15", "w + 53"], ["w", "j + 9", "j + 62"], ["j", 1, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"j": 1}, "is_reverse": true}} | 9,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 1; u = w + 15; z = u + 12; w = j + 9; t = j + 17; d = o + 7; n = t + 14; o = z + 2; q = d + 17; p = v + 7; v = n + 15; x = p + 4; s = x + 16. If j = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 7 to q, which gives q = o + 24.\n2. Substitute o = z + 2 to q, which gives q = z + 26.\n3. Substitute z = u + 12 to q, which gives q = u + 38.\n4. Substitute u = w + 15 to q, which gives q = w + 53.\n5. Substitute w = j + 9 to q, which gives q = j + 62.\n6. Substitute j = 1 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 9497,
"question": "Consider a system of variables where each variable is defined as follows: j = 1; u = w + 15; z = u + 12; w = j + 9; t = j + 17; d = o + 7; n = t + 14; o = z + 2; q = d + 17; p = v + 7; v = n + 15; x = p + 4; s = x + 16. If j = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 10", "t": "u + 12", "q": "t + 8", "g": "q + 19", "f": "g + 6", "s": "f + 1", "y": "i + 15", "r": "y + 13", "e": "r + 6", "m": "e + 5", "j": "m + 13", "p": "j + 14", "i": 17}, "premises": {"i": 17}, "target": "s"}, "answer": {"steps": [["f", "g + 6", "g + 7"], ["g", "q + 19", "q + 26"], ["q", "t + 8", "t + 34"], ["t", "u + 12", "u + 46"], ["u", "i + 10", "i + 56"], ["i", 17, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"i": 17}, "is_reverse": true}} | 9,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 1; e = r + 6; m = e + 5; t = u + 12; f = g + 6; r = y + 13; q = t + 8; g = q + 19; p = j + 14; u = i + 10; i = 17; j = m + 13; y = i + 15. If i = 17, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 6 to s, which gives s = g + 7.\n2. Substitute g = q + 19 to s, which gives s = q + 26.\n3. Substitute q = t + 8 to s, which gives s = t + 34.\n4. Substitute t = u + 12 to s, which gives s = u + 46.\n5. Substitute u = i + 10 to s, which gives s = i + 56.\n6. Substitute i = 17 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 9498,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 1; e = r + 6; m = e + 5; t = u + 12; f = g + 6; r = y + 13; q = t + 8; g = q + 19; p = j + 14; u = i + 10; i = 17; j = m + 13; y = i + 15. If i = 17, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 14", "z": "d + 20", "q": "z + 12", "x": "q + 7", "a": "x + 9", "s": "a + 7", "g": "f + 8", "w": "g + 16", "v": "w + 18", "t": "v + 9", "n": "t + 19", "y": "n + 4", "f": 13}, "premises": {"f": 13}, "target": "s"}, "answer": {"steps": [["a", "x + 9", "x + 16"], ["x", "q + 7", "q + 23"], ["q", "z + 12", "z + 35"], ["z", "d + 20", "d + 55"], ["d", "f + 14", "f + 69"], ["f", 13, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"f": 13}, "is_reverse": true}} | 9,499 | 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 = x + 9; t = v + 9; y = n + 4; x = q + 7; v = w + 18; s = a + 7; f = 13; q = z + 12; g = f + 8; n = t + 19; d = f + 14; z = d + 20; w = g + 16. If f = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 9 to s, which gives s = x + 16.\n2. Substitute x = q + 7 to s, which gives s = q + 23.\n3. Substitute q = z + 12 to s, which gives s = z + 35.\n4. Substitute z = d + 20 to s, which gives s = d + 55.\n5. Substitute d = f + 14 to s, which gives s = f + 69.\n6. Substitute f = 13 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 9499,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 9; t = v + 9; y = n + 4; x = q + 7; v = w + 18; s = a + 7; f = 13; q = z + 12; g = f + 8; n = t + 19; d = f + 14; z = d + 20; w = g + 16. If f = 13, what is the resulting value of s?",
"split": "train"
} |
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