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": {"w": "d + 14", "r": "w + 16", "u": "r + 8", "t": "u + 10", "y": "t + 11", "x": "y + 19", "i": "d + 3", "q": "i + 15", "k": "q + 17", "m": "k + 16", "o": "m + 3", "s": "o + 16", "d": 9}, "premises": {"d": 9}, "target": "x"}, "answer": {"steps": [["y", "t + 11", "t + 30"], ["t", "u + 10", "u + 40"], ["u", "r + 8", "r + 48"], ["r", "w + 16", "w + 64"], ["w", "d + 14", "d + 78"], ["d", 9, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"d": 9}, "is_reverse": true}} | 21,400 | 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 = m + 3; y = t + 11; m = k + 16; q = i + 15; x = y + 19; r = w + 16; t = u + 10; d = 9; u = r + 8; s = o + 16; k = q + 17; w = d + 14; i = d + 3. If d = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 11 to x, which gives x = t + 30.\n2. Substitute t = u + 10 to x, which gives x = u + 40.\n3. Substitute u = r + 8 to x, which gives x = r + 48.\n4. Substitute r = w + 16 to x, which gives x = w + 64.\n5. Substitute w = d + 14 to x, which gives x = d + 78.\n6. Substitute d = 9 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 21400,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 3; y = t + 11; m = k + 16; q = i + 15; x = y + 19; r = w + 16; t = u + 10; d = 9; u = r + 8; s = o + 16; k = q + 17; w = d + 14; i = d + 3. If d = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 19", "h": "z + 7", "j": "h + 3", "s": "j + 7", "g": "s + 11", "a": "g + 11", "x": "f + 13", "e": "x + 1", "d": "e + 14", "t": "d + 6", "v": "t + 3", "l": "v + 6", "f": 7}, "premises": {"f": 7}, "target": "a"}, "answer": {"steps": [["g", "s + 11", "s + 22"], ["s", "j + 7", "j + 29"], ["j", "h + 3", "h + 32"], ["h", "z + 7", "z + 39"], ["z", "f + 19", "f + 58"], ["f", 7, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"f": 7}, "is_reverse": true}} | 21,401 | 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 = d + 6; z = f + 19; j = h + 3; f = 7; a = g + 11; e = x + 1; x = f + 13; s = j + 7; d = e + 14; v = t + 3; h = z + 7; g = s + 11; l = v + 6. If f = 7, what is the resulting 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 g = s + 11 to a, which gives a = s + 22.\n2. Substitute s = j + 7 to a, which gives a = j + 29.\n3. Substitute j = h + 3 to a, which gives a = h + 32.\n4. Substitute h = z + 7 to a, which gives a = z + 39.\n5. Substitute z = f + 19 to a, which gives a = f + 58.\n6. Substitute f = 7 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 21401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 6; z = f + 19; j = h + 3; f = 7; a = g + 11; e = x + 1; x = f + 13; s = j + 7; d = e + 14; v = t + 3; h = z + 7; g = s + 11; l = v + 6. If f = 7, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 16", "s": "k + 11", "t": "s + 15", "z": "t + 8", "y": "z + 3", "i": "y + 6", "w": "m + 4", "o": "w + 17", "r": "o + 8", "f": "r + 10", "x": "f + 13", "u": "x + 2", "m": 8}, "premises": {"m": 8}, "target": "i"}, "answer": {"steps": [["y", "z + 3", "z + 9"], ["z", "t + 8", "t + 17"], ["t", "s + 15", "s + 32"], ["s", "k + 11", "k + 43"], ["k", "m + 16", "m + 59"], ["m", 8, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"m": 8}, "is_reverse": true}} | 21,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 17; w = m + 4; m = 8; y = z + 3; x = f + 13; t = s + 15; i = y + 6; s = k + 11; f = r + 10; r = o + 8; z = t + 8; k = m + 16; u = x + 2. If m = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 3 to i, which gives i = z + 9.\n2. Substitute z = t + 8 to i, which gives i = t + 17.\n3. Substitute t = s + 15 to i, which gives i = s + 32.\n4. Substitute s = k + 11 to i, which gives i = k + 43.\n5. Substitute k = m + 16 to i, which gives i = m + 59.\n6. Substitute m = 8 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 21402,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 17; w = m + 4; m = 8; y = z + 3; x = f + 13; t = s + 15; i = y + 6; s = k + 11; f = r + 10; r = o + 8; z = t + 8; k = m + 16; u = x + 2. If m = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 18", "p": "s + 14", "h": "p + 11", "d": "h + 1", "o": "d + 9", "n": "o + 10", "a": "x + 10", "m": "a + 8", "q": "m + 8", "l": "q + 4", "j": "l + 4", "i": "j + 12", "x": 5}, "premises": {"x": 5}, "target": "n"}, "answer": {"steps": [["o", "d + 9", "d + 19"], ["d", "h + 1", "h + 20"], ["h", "p + 11", "p + 31"], ["p", "s + 14", "s + 45"], ["s", "x + 18", "x + 63"], ["x", 5, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"x": 5}, "is_reverse": true}} | 21,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 9; s = x + 18; i = j + 12; m = a + 8; j = l + 4; d = h + 1; l = q + 4; p = s + 14; x = 5; q = m + 8; a = x + 10; h = p + 11; n = o + 10. If x = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 9 to n, which gives n = d + 19.\n2. Substitute d = h + 1 to n, which gives n = h + 20.\n3. Substitute h = p + 11 to n, which gives n = p + 31.\n4. Substitute p = s + 14 to n, which gives n = s + 45.\n5. Substitute s = x + 18 to n, which gives n = x + 63.\n6. Substitute x = 5 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 21403,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 9; s = x + 18; i = j + 12; m = a + 8; j = l + 4; d = h + 1; l = q + 4; p = s + 14; x = 5; q = m + 8; a = x + 10; h = p + 11; n = o + 10. If x = 5, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 7", "e": "k + 13", "f": "e + 11", "b": "f + 5", "a": "b + 7", "s": "a + 12", "d": "p + 3", "g": "d + 1", "q": "g + 16", "m": "q + 4", "x": "m + 18", "z": "x + 1", "p": 1}, "premises": {"p": 1}, "target": "s"}, "answer": {"steps": [["a", "b + 7", "b + 19"], ["b", "f + 5", "f + 24"], ["f", "e + 11", "e + 35"], ["e", "k + 13", "k + 48"], ["k", "p + 7", "p + 55"], ["p", 1, "56"]], "target_var_name": "s", "target_value": 56, "value_dict": {"p": 1}, "is_reverse": true}} | 21,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = g + 16; b = f + 5; e = k + 13; k = p + 7; d = p + 3; g = d + 1; m = q + 4; p = 1; f = e + 11; s = a + 12; a = b + 7; x = m + 18; z = x + 1. Given that p = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 7 to s, which gives s = b + 19.\n2. Substitute b = f + 5 to s, which gives s = f + 24.\n3. Substitute f = e + 11 to s, which gives s = e + 35.\n4. Substitute e = k + 13 to s, which gives s = k + 48.\n5. Substitute k = p + 7 to s, which gives s = p + 55.\n6. Substitute p = 1 to s, which gives s = 56.\n\nThus, the final answer is s = \\boxed{56}.",
"index": 21404,
"question": "Suppose a collection of variables is related by the following definitions: q = g + 16; b = f + 5; e = k + 13; k = p + 7; d = p + 3; g = d + 1; m = q + 4; p = 1; f = e + 11; s = a + 12; a = b + 7; x = m + 18; z = x + 1. Given that p = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 5", "o": "j + 9", "v": "o + 4", "b": "v + 12", "k": "b + 8", "f": "k + 8", "i": "q + 3", "z": "i + 15", "h": "z + 10", "y": "h + 18", "a": "y + 19", "g": "a + 4", "q": 8}, "premises": {"q": 8}, "target": "f"}, "answer": {"steps": [["k", "b + 8", "b + 16"], ["b", "v + 12", "v + 28"], ["v", "o + 4", "o + 32"], ["o", "j + 9", "j + 41"], ["j", "q + 5", "q + 46"], ["q", 8, "54"]], "target_var_name": "f", "target_value": 54, "value_dict": {"q": 8}, "is_reverse": true}} | 21,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 19; q = 8; k = b + 8; y = h + 18; v = o + 4; g = a + 4; o = j + 9; h = z + 10; f = k + 8; b = v + 12; i = q + 3; z = i + 15; j = q + 5. If q = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 8 to f, which gives f = b + 16.\n2. Substitute b = v + 12 to f, which gives f = v + 28.\n3. Substitute v = o + 4 to f, which gives f = o + 32.\n4. Substitute o = j + 9 to f, which gives f = j + 41.\n5. Substitute j = q + 5 to f, which gives f = q + 46.\n6. Substitute q = 8 to f, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 21405,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 19; q = 8; k = b + 8; y = h + 18; v = o + 4; g = a + 4; o = j + 9; h = z + 10; f = k + 8; b = v + 12; i = q + 3; z = i + 15; j = q + 5. If q = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 19", "b": "v + 17", "w": "b + 13", "i": "w + 19", "e": "i + 12", "y": "e + 8", "h": "r + 2", "j": "h + 15", "a": "j + 6", "m": "a + 2", "z": "m + 15", "t": "z + 17", "r": 6}, "premises": {"r": 6}, "target": "y"}, "answer": {"steps": [["e", "i + 12", "i + 20"], ["i", "w + 19", "w + 39"], ["w", "b + 13", "b + 52"], ["b", "v + 17", "v + 69"], ["v", "r + 19", "r + 88"], ["r", 6, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"r": 6}, "is_reverse": true}} | 21,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = e + 8; a = j + 6; e = i + 12; r = 6; t = z + 17; h = r + 2; j = h + 15; z = m + 15; b = v + 17; v = r + 19; i = w + 19; w = b + 13; m = a + 2. If r = 6, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 12 to y, which gives y = i + 20.\n2. Substitute i = w + 19 to y, which gives y = w + 39.\n3. Substitute w = b + 13 to y, which gives y = b + 52.\n4. Substitute b = v + 17 to y, which gives y = v + 69.\n5. Substitute v = r + 19 to y, which gives y = r + 88.\n6. Substitute r = 6 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 21406,
"question": "Consider a system of variables where each variable is defined as follows: y = e + 8; a = j + 6; e = i + 12; r = 6; t = z + 17; h = r + 2; j = h + 15; z = m + 15; b = v + 17; v = r + 19; i = w + 19; w = b + 13; m = a + 2. If r = 6, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 14", "h": "v + 18", "o": "h + 1", "e": "o + 7", "j": "e + 8", "w": "j + 1", "a": "y + 9", "k": "a + 1", "r": "k + 17", "z": "r + 13", "t": "z + 6", "m": "t + 5", "y": 10}, "premises": {"y": 10}, "target": "w"}, "answer": {"steps": [["j", "e + 8", "e + 9"], ["e", "o + 7", "o + 16"], ["o", "h + 1", "h + 17"], ["h", "v + 18", "v + 35"], ["v", "y + 14", "y + 49"], ["y", 10, "59"]], "target_var_name": "w", "target_value": 59, "value_dict": {"y": 10}, "is_reverse": true}} | 21,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 1; a = y + 9; j = e + 8; m = t + 5; e = o + 7; v = y + 14; r = k + 17; t = z + 6; k = a + 1; z = r + 13; y = 10; h = v + 18; w = j + 1. If y = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 8 to w, which gives w = e + 9.\n2. Substitute e = o + 7 to w, which gives w = o + 16.\n3. Substitute o = h + 1 to w, which gives w = h + 17.\n4. Substitute h = v + 18 to w, which gives w = v + 35.\n5. Substitute v = y + 14 to w, which gives w = y + 49.\n6. Substitute y = 10 to w, which gives w = 59.\n\nThus, the final answer is w = \\boxed{59}.",
"index": 21407,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 1; a = y + 9; j = e + 8; m = t + 5; e = o + 7; v = y + 14; r = k + 17; t = z + 6; k = a + 1; z = r + 13; y = 10; h = v + 18; w = j + 1. If y = 10, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"x": "b + 7", "l": "x + 6", "w": "l + 12", "i": "w + 9", "e": "i + 8", "h": "e + 10", "y": "b + 14", "u": "y + 5", "k": "u + 14", "r": "k + 9", "p": "r + 12", "c": "p + 14", "b": 13}, "premises": {"b": 13}, "target": "h"}, "answer": {"steps": [["e", "i + 8", "i + 18"], ["i", "w + 9", "w + 27"], ["w", "l + 12", "l + 39"], ["l", "x + 6", "x + 45"], ["x", "b + 7", "b + 52"], ["b", 13, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"b": 13}, "is_reverse": true}} | 21,408 | 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 = e + 10; p = r + 12; b = 13; w = l + 12; l = x + 6; k = u + 14; y = b + 14; e = i + 8; r = k + 9; i = w + 9; u = y + 5; c = p + 14; x = b + 7. If b = 13, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 8 to h, which gives h = i + 18.\n2. Substitute i = w + 9 to h, which gives h = w + 27.\n3. Substitute w = l + 12 to h, which gives h = l + 39.\n4. Substitute l = x + 6 to h, which gives h = x + 45.\n5. Substitute x = b + 7 to h, which gives h = b + 52.\n6. Substitute b = 13 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 21408,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 10; p = r + 12; b = 13; w = l + 12; l = x + 6; k = u + 14; y = b + 14; e = i + 8; r = k + 9; i = w + 9; u = y + 5; c = p + 14; x = b + 7. If b = 13, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 10", "u": "n + 1", "y": "u + 9", "m": "y + 5", "z": "m + 1", "h": "z + 17", "c": "t + 13", "i": "c + 3", "v": "i + 11", "x": "v + 10", "d": "x + 14", "l": "d + 16", "t": 18}, "premises": {"t": 18}, "target": "h"}, "answer": {"steps": [["z", "m + 1", "m + 18"], ["m", "y + 5", "y + 23"], ["y", "u + 9", "u + 32"], ["u", "n + 1", "n + 33"], ["n", "t + 10", "t + 43"], ["t", 18, "61"]], "target_var_name": "h", "target_value": 61, "value_dict": {"t": 18}, "is_reverse": true}} | 21,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 18; v = i + 11; x = v + 10; m = y + 5; i = c + 3; d = x + 14; u = n + 1; h = z + 17; z = m + 1; c = t + 13; l = d + 16; n = t + 10; y = u + 9. Given that t = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 1 to h, which gives h = m + 18.\n2. Substitute m = y + 5 to h, which gives h = y + 23.\n3. Substitute y = u + 9 to h, which gives h = u + 32.\n4. Substitute u = n + 1 to h, which gives h = n + 33.\n5. Substitute n = t + 10 to h, which gives h = t + 43.\n6. Substitute t = 18 to h, which gives h = 61.\n\nThus, the final answer is h = \\boxed{61}.",
"index": 21409,
"question": "Suppose a collection of variables is related by the following definitions: t = 18; v = i + 11; x = v + 10; m = y + 5; i = c + 3; d = x + 14; u = n + 1; h = z + 17; z = m + 1; c = t + 13; l = d + 16; n = t + 10; y = u + 9. Given that t = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 10", "z": "r + 14", "y": "z + 8", "h": "y + 4", "k": "h + 1", "f": "k + 20", "p": "o + 6", "t": "p + 8", "j": "t + 1", "s": "j + 9", "q": "s + 1", "l": "q + 8", "o": 3}, "premises": {"o": 3}, "target": "f"}, "answer": {"steps": [["k", "h + 1", "h + 21"], ["h", "y + 4", "y + 25"], ["y", "z + 8", "z + 33"], ["z", "r + 14", "r + 47"], ["r", "o + 10", "o + 57"], ["o", 3, "60"]], "target_var_name": "f", "target_value": 60, "value_dict": {"o": 3}, "is_reverse": true}} | 21,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 6; z = r + 14; s = j + 9; l = q + 8; r = o + 10; q = s + 1; o = 3; j = t + 1; t = p + 8; k = h + 1; h = y + 4; f = k + 20; y = z + 8. Given that o = 3, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 1 to f, which gives f = h + 21.\n2. Substitute h = y + 4 to f, which gives f = y + 25.\n3. Substitute y = z + 8 to f, which gives f = z + 33.\n4. Substitute z = r + 14 to f, which gives f = r + 47.\n5. Substitute r = o + 10 to f, which gives f = o + 57.\n6. Substitute o = 3 to f, which gives f = 60.\n\nThus, the final answer is f = \\boxed{60}.",
"index": 21410,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 6; z = r + 14; s = j + 9; l = q + 8; r = o + 10; q = s + 1; o = 3; j = t + 1; t = p + 8; k = h + 1; h = y + 4; f = k + 20; y = z + 8. Given that o = 3, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 2", "x": "k + 8", "v": "x + 8", "e": "v + 9", "u": "e + 3", "h": "u + 11", "l": "s + 12", "c": "l + 11", "m": "c + 19", "t": "m + 6", "g": "t + 12", "p": "g + 7", "s": 7}, "premises": {"s": 7}, "target": "h"}, "answer": {"steps": [["u", "e + 3", "e + 14"], ["e", "v + 9", "v + 23"], ["v", "x + 8", "x + 31"], ["x", "k + 8", "k + 39"], ["k", "s + 2", "s + 41"], ["s", 7, "48"]], "target_var_name": "h", "target_value": 48, "value_dict": {"s": 7}, "is_reverse": true}} | 21,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 11; s = 7; g = t + 12; p = g + 7; k = s + 2; u = e + 3; l = s + 12; h = u + 11; e = v + 9; v = x + 8; t = m + 6; m = c + 19; x = k + 8. If s = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 3 to h, which gives h = e + 14.\n2. Substitute e = v + 9 to h, which gives h = v + 23.\n3. Substitute v = x + 8 to h, which gives h = x + 31.\n4. Substitute x = k + 8 to h, which gives h = k + 39.\n5. Substitute k = s + 2 to h, which gives h = s + 41.\n6. Substitute s = 7 to h, which gives h = 48.\n\nThus, the final answer is h = \\boxed{48}.",
"index": 21411,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 11; s = 7; g = t + 12; p = g + 7; k = s + 2; u = e + 3; l = s + 12; h = u + 11; e = v + 9; v = x + 8; t = m + 6; m = c + 19; x = k + 8. If s = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 11", "f": "p + 1", "a": "f + 3", "z": "a + 9", "w": "z + 20", "t": "w + 14", "l": "g + 1", "u": "l + 3", "y": "u + 7", "e": "y + 9", "x": "e + 9", "q": "x + 11", "g": 14}, "premises": {"g": 14}, "target": "t"}, "answer": {"steps": [["w", "z + 20", "z + 34"], ["z", "a + 9", "a + 43"], ["a", "f + 3", "f + 46"], ["f", "p + 1", "p + 47"], ["p", "g + 11", "g + 58"], ["g", 14, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"g": 14}, "is_reverse": true}} | 21,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 14; e = y + 9; u = l + 3; a = f + 3; q = x + 11; x = e + 9; p = g + 11; f = p + 1; y = u + 7; w = z + 20; l = g + 1; g = 14; z = a + 9. If g = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 20 to t, which gives t = z + 34.\n2. Substitute z = a + 9 to t, which gives t = a + 43.\n3. Substitute a = f + 3 to t, which gives t = f + 46.\n4. Substitute f = p + 1 to t, which gives t = p + 47.\n5. Substitute p = g + 11 to t, which gives t = g + 58.\n6. Substitute g = 14 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 21412,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 14; e = y + 9; u = l + 3; a = f + 3; q = x + 11; x = e + 9; p = g + 11; f = p + 1; y = u + 7; w = z + 20; l = g + 1; g = 14; z = a + 9. If g = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 14", "q": "z + 5", "w": "q + 6", "s": "w + 12", "t": "s + 7", "n": "t + 16", "e": "a + 6", "v": "e + 14", "p": "v + 16", "l": "p + 17", "c": "l + 17", "u": "c + 18", "a": 9}, "premises": {"a": 9}, "target": "n"}, "answer": {"steps": [["t", "s + 7", "s + 23"], ["s", "w + 12", "w + 35"], ["w", "q + 6", "q + 41"], ["q", "z + 5", "z + 46"], ["z", "a + 14", "a + 60"], ["a", 9, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"a": 9}, "is_reverse": true}} | 21,413 | 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 + 6; n = t + 16; c = l + 17; a = 9; e = a + 6; l = p + 17; p = v + 16; z = a + 14; t = s + 7; q = z + 5; v = e + 14; u = c + 18; s = w + 12. If a = 9, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 7 to n, which gives n = s + 23.\n2. Substitute s = w + 12 to n, which gives n = w + 35.\n3. Substitute w = q + 6 to n, which gives n = q + 41.\n4. Substitute q = z + 5 to n, which gives n = z + 46.\n5. Substitute z = a + 14 to n, which gives n = a + 60.\n6. Substitute a = 9 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 21413,
"question": "Consider a system of variables where each variable is defined as follows: w = q + 6; n = t + 16; c = l + 17; a = 9; e = a + 6; l = p + 17; p = v + 16; z = a + 14; t = s + 7; q = z + 5; v = e + 14; u = c + 18; s = w + 12. If a = 9, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 12", "d": "f + 7", "t": "d + 3", "l": "t + 6", "q": "l + 13", "h": "q + 18", "e": "n + 12", "y": "e + 9", "k": "y + 17", "b": "k + 9", "z": "b + 6", "p": "z + 5", "n": 10}, "premises": {"n": 10}, "target": "h"}, "answer": {"steps": [["q", "l + 13", "l + 31"], ["l", "t + 6", "t + 37"], ["t", "d + 3", "d + 40"], ["d", "f + 7", "f + 47"], ["f", "n + 12", "n + 59"], ["n", 10, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"n": 10}, "is_reverse": true}} | 21,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 12; d = f + 7; h = q + 18; f = n + 12; b = k + 9; p = z + 5; q = l + 13; t = d + 3; z = b + 6; y = e + 9; l = t + 6; n = 10; k = y + 17. Given that n = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 13 to h, which gives h = l + 31.\n2. Substitute l = t + 6 to h, which gives h = t + 37.\n3. Substitute t = d + 3 to h, which gives h = d + 40.\n4. Substitute d = f + 7 to h, which gives h = f + 47.\n5. Substitute f = n + 12 to h, which gives h = n + 59.\n6. Substitute n = 10 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 21414,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 12; d = f + 7; h = q + 18; f = n + 12; b = k + 9; p = z + 5; q = l + 13; t = d + 3; z = b + 6; y = e + 9; l = t + 6; n = 10; k = y + 17. Given that n = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 8", "z": "o + 12", "y": "z + 8", "r": "y + 16", "g": "r + 15", "d": "g + 9", "f": "w + 15", "u": "f + 4", "n": "u + 5", "j": "n + 16", "m": "j + 11", "k": "m + 15", "w": 18}, "premises": {"w": 18}, "target": "d"}, "answer": {"steps": [["g", "r + 15", "r + 24"], ["r", "y + 16", "y + 40"], ["y", "z + 8", "z + 48"], ["z", "o + 12", "o + 60"], ["o", "w + 8", "w + 68"], ["w", 18, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"w": 18}, "is_reverse": true}} | 21,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = j + 11; u = f + 4; w = 18; g = r + 15; y = z + 8; r = y + 16; d = g + 9; z = o + 12; n = u + 5; j = n + 16; f = w + 15; k = m + 15; o = w + 8. If w = 18, determine 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 g = r + 15 to d, which gives d = r + 24.\n2. Substitute r = y + 16 to d, which gives d = y + 40.\n3. Substitute y = z + 8 to d, which gives d = z + 48.\n4. Substitute z = o + 12 to d, which gives d = o + 60.\n5. Substitute o = w + 8 to d, which gives d = w + 68.\n6. Substitute w = 18 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 21415,
"question": "Consider a system of variables where each variable is defined as follows: m = j + 11; u = f + 4; w = 18; g = r + 15; y = z + 8; r = y + 16; d = g + 9; z = o + 12; n = u + 5; j = n + 16; f = w + 15; k = m + 15; o = w + 8. If w = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 3", "u": "f + 19", "w": "u + 8", "r": "w + 17", "a": "r + 10", "k": "a + 4", "t": "v + 6", "d": "t + 4", "y": "d + 4", "l": "y + 13", "p": "l + 8", "o": "p + 1", "v": 12}, "premises": {"v": 12}, "target": "k"}, "answer": {"steps": [["a", "r + 10", "r + 14"], ["r", "w + 17", "w + 31"], ["w", "u + 8", "u + 39"], ["u", "f + 19", "f + 58"], ["f", "v + 3", "v + 61"], ["v", 12, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"v": 12}, "is_reverse": true}} | 21,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 12; d = t + 4; l = y + 13; k = a + 4; a = r + 10; f = v + 3; t = v + 6; w = u + 8; u = f + 19; r = w + 17; y = d + 4; p = l + 8; o = p + 1. If v = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 10 to k, which gives k = r + 14.\n2. Substitute r = w + 17 to k, which gives k = w + 31.\n3. Substitute w = u + 8 to k, which gives k = u + 39.\n4. Substitute u = f + 19 to k, which gives k = f + 58.\n5. Substitute f = v + 3 to k, which gives k = v + 61.\n6. Substitute v = 12 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 21416,
"question": "Consider a system of variables where each variable is defined as follows: v = 12; d = t + 4; l = y + 13; k = a + 4; a = r + 10; f = v + 3; t = v + 6; w = u + 8; u = f + 19; r = w + 17; y = d + 4; p = l + 8; o = p + 1. If v = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 5", "f": "z + 2", "e": "f + 19", "y": "e + 19", "r": "y + 10", "p": "r + 18", "k": "v + 6", "j": "k + 14", "t": "j + 4", "o": "t + 18", "g": "o + 19", "l": "g + 10", "v": 4}, "premises": {"v": 4}, "target": "p"}, "answer": {"steps": [["r", "y + 10", "y + 28"], ["y", "e + 19", "e + 47"], ["e", "f + 19", "f + 66"], ["f", "z + 2", "z + 68"], ["z", "v + 5", "v + 73"], ["v", 4, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"v": 4}, "is_reverse": true}} | 21,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 19; v = 4; o = t + 18; g = o + 19; e = f + 19; k = v + 6; z = v + 5; f = z + 2; p = r + 18; j = k + 14; t = j + 4; l = g + 10; r = y + 10. Given that v = 4, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 10 to p, which gives p = y + 28.\n2. Substitute y = e + 19 to p, which gives p = e + 47.\n3. Substitute e = f + 19 to p, which gives p = f + 66.\n4. Substitute f = z + 2 to p, which gives p = z + 68.\n5. Substitute z = v + 5 to p, which gives p = v + 73.\n6. Substitute v = 4 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 21417,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 19; v = 4; o = t + 18; g = o + 19; e = f + 19; k = v + 6; z = v + 5; f = z + 2; p = r + 18; j = k + 14; t = j + 4; l = g + 10; r = y + 10. Given that v = 4, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 6", "y": "g + 13", "t": "y + 14", "x": "t + 12", "v": "x + 20", "p": "v + 3", "o": "a + 17", "c": "o + 16", "h": "c + 19", "q": "h + 18", "b": "q + 20", "m": "b + 13", "a": 4}, "premises": {"a": 4}, "target": "p"}, "answer": {"steps": [["v", "x + 20", "x + 23"], ["x", "t + 12", "t + 35"], ["t", "y + 14", "y + 49"], ["y", "g + 13", "g + 62"], ["g", "a + 6", "a + 68"], ["a", 4, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"a": 4}, "is_reverse": true}} | 21,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 4; m = b + 13; x = t + 12; o = a + 17; t = y + 14; p = v + 3; g = a + 6; v = x + 20; b = q + 20; h = c + 19; y = g + 13; q = h + 18; c = o + 16. If a = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 20 to p, which gives p = x + 23.\n2. Substitute x = t + 12 to p, which gives p = t + 35.\n3. Substitute t = y + 14 to p, which gives p = y + 49.\n4. Substitute y = g + 13 to p, which gives p = g + 62.\n5. Substitute g = a + 6 to p, which gives p = a + 68.\n6. Substitute a = 4 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 21418,
"question": "Consider a system of variables where each variable is defined as follows: a = 4; m = b + 13; x = t + 12; o = a + 17; t = y + 14; p = v + 3; g = a + 6; v = x + 20; b = q + 20; h = c + 19; y = g + 13; q = h + 18; c = o + 16. If a = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 7", "f": "i + 9", "s": "f + 19", "a": "s + 7", "w": "a + 11", "g": "w + 6", "z": "p + 10", "y": "z + 19", "v": "y + 15", "q": "v + 9", "d": "q + 17", "l": "d + 1", "p": 17}, "premises": {"p": 17}, "target": "g"}, "answer": {"steps": [["w", "a + 11", "a + 17"], ["a", "s + 7", "s + 24"], ["s", "f + 19", "f + 43"], ["f", "i + 9", "i + 52"], ["i", "p + 7", "p + 59"], ["p", 17, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"p": 17}, "is_reverse": true}} | 21,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 19; q = v + 9; v = y + 15; z = p + 10; p = 17; s = f + 19; d = q + 17; a = s + 7; w = a + 11; l = d + 1; i = p + 7; g = w + 6; f = i + 9. If p = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 11 to g, which gives g = a + 17.\n2. Substitute a = s + 7 to g, which gives g = s + 24.\n3. Substitute s = f + 19 to g, which gives g = f + 43.\n4. Substitute f = i + 9 to g, which gives g = i + 52.\n5. Substitute i = p + 7 to g, which gives g = p + 59.\n6. Substitute p = 17 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 21419,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 19; q = v + 9; v = y + 15; z = p + 10; p = 17; s = f + 19; d = q + 17; a = s + 7; w = a + 11; l = d + 1; i = p + 7; g = w + 6; f = i + 9. If p = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 5", "e": "l + 12", "x": "e + 17", "z": "x + 13", "f": "z + 12", "d": "f + 6", "n": "v + 5", "k": "n + 9", "q": "k + 11", "j": "q + 9", "o": "j + 12", "g": "o + 7", "v": 16}, "premises": {"v": 16}, "target": "d"}, "answer": {"steps": [["f", "z + 12", "z + 18"], ["z", "x + 13", "x + 31"], ["x", "e + 17", "e + 48"], ["e", "l + 12", "l + 60"], ["l", "v + 5", "v + 65"], ["v", 16, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"v": 16}, "is_reverse": true}} | 21,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = v + 5; n = v + 5; f = z + 12; z = x + 13; e = l + 12; d = f + 6; g = o + 7; o = j + 12; q = k + 11; v = 16; x = e + 17; k = n + 9; j = q + 9. If v = 16, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 12 to d, which gives d = z + 18.\n2. Substitute z = x + 13 to d, which gives d = x + 31.\n3. Substitute x = e + 17 to d, which gives d = e + 48.\n4. Substitute e = l + 12 to d, which gives d = l + 60.\n5. Substitute l = v + 5 to d, which gives d = v + 65.\n6. Substitute v = 16 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 21420,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = v + 5; n = v + 5; f = z + 12; z = x + 13; e = l + 12; d = f + 6; g = o + 7; o = j + 12; q = k + 11; v = 16; x = e + 17; k = n + 9; j = q + 9. If v = 16, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 16", "e": "b + 19", "u": "e + 13", "l": "u + 16", "s": "l + 19", "x": "s + 15", "d": "m + 6", "p": "d + 5", "f": "p + 9", "c": "f + 8", "q": "c + 10", "t": "q + 3", "m": 17}, "premises": {"m": 17}, "target": "x"}, "answer": {"steps": [["s", "l + 19", "l + 34"], ["l", "u + 16", "u + 50"], ["u", "e + 13", "e + 63"], ["e", "b + 19", "b + 82"], ["b", "m + 16", "m + 98"], ["m", 17, "115"]], "target_var_name": "x", "target_value": 115, "value_dict": {"m": 17}, "is_reverse": true}} | 21,421 | 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 = s + 15; q = c + 10; f = p + 9; u = e + 13; m = 17; d = m + 6; b = m + 16; s = l + 19; l = u + 16; e = b + 19; t = q + 3; c = f + 8; p = d + 5. If m = 17, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 19 to x, which gives x = l + 34.\n2. Substitute l = u + 16 to x, which gives x = u + 50.\n3. Substitute u = e + 13 to x, which gives x = e + 63.\n4. Substitute e = b + 19 to x, which gives x = b + 82.\n5. Substitute b = m + 16 to x, which gives x = m + 98.\n6. Substitute m = 17 to x, which gives x = 115.\n\nThus, the final answer is x = \\boxed{115}.",
"index": 21421,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 15; q = c + 10; f = p + 9; u = e + 13; m = 17; d = m + 6; b = m + 16; s = l + 19; l = u + 16; e = b + 19; t = q + 3; c = f + 8; p = d + 5. If m = 17, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 19", "y": "t + 5", "x": "y + 16", "j": "x + 4", "b": "j + 9", "r": "b + 5", "c": "m + 12", "n": "c + 11", "w": "n + 10", "f": "w + 17", "s": "f + 11", "l": "s + 6", "m": 11}, "premises": {"m": 11}, "target": "r"}, "answer": {"steps": [["b", "j + 9", "j + 14"], ["j", "x + 4", "x + 18"], ["x", "y + 16", "y + 34"], ["y", "t + 5", "t + 39"], ["t", "m + 19", "m + 58"], ["m", 11, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"m": 11}, "is_reverse": true}} | 21,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = w + 17; n = c + 11; y = t + 5; b = j + 9; x = y + 16; c = m + 12; t = m + 19; w = n + 10; j = x + 4; l = s + 6; m = 11; s = f + 11; r = b + 5. Given that m = 11, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 9 to r, which gives r = j + 14.\n2. Substitute j = x + 4 to r, which gives r = x + 18.\n3. Substitute x = y + 16 to r, which gives r = y + 34.\n4. Substitute y = t + 5 to r, which gives r = t + 39.\n5. Substitute t = m + 19 to r, which gives r = m + 58.\n6. Substitute m = 11 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 21422,
"question": "Suppose a collection of variables is related by the following definitions: f = w + 17; n = c + 11; y = t + 5; b = j + 9; x = y + 16; c = m + 12; t = m + 19; w = n + 10; j = x + 4; l = s + 6; m = 11; s = f + 11; r = b + 5. Given that m = 11, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 2", "s": "f + 9", "x": "s + 3", "b": "x + 15", "g": "b + 8", "l": "g + 3", "u": "o + 10", "r": "u + 7", "m": "r + 4", "d": "m + 3", "p": "d + 20", "j": "p + 8", "o": 18}, "premises": {"o": 18}, "target": "l"}, "answer": {"steps": [["g", "b + 8", "b + 11"], ["b", "x + 15", "x + 26"], ["x", "s + 3", "s + 29"], ["s", "f + 9", "f + 38"], ["f", "o + 2", "o + 40"], ["o", 18, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"o": 18}, "is_reverse": true}} | 21,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 3; o = 18; m = r + 4; x = s + 3; s = f + 9; j = p + 8; f = o + 2; u = o + 10; g = b + 8; p = d + 20; r = u + 7; b = x + 15; l = g + 3. Given that o = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 8 to l, which gives l = b + 11.\n2. Substitute b = x + 15 to l, which gives l = x + 26.\n3. Substitute x = s + 3 to l, which gives l = s + 29.\n4. Substitute s = f + 9 to l, which gives l = f + 38.\n5. Substitute f = o + 2 to l, which gives l = o + 40.\n6. Substitute o = 18 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 21423,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 3; o = 18; m = r + 4; x = s + 3; s = f + 9; j = p + 8; f = o + 2; u = o + 10; g = b + 8; p = d + 20; r = u + 7; b = x + 15; l = g + 3. Given that o = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 1", "r": "s + 16", "v": "r + 12", "w": "v + 14", "n": "w + 3", "a": "n + 12", "o": "d + 8", "k": "o + 19", "b": "k + 3", "g": "b + 10", "l": "g + 15", "m": "l + 20", "d": 13}, "premises": {"d": 13}, "target": "a"}, "answer": {"steps": [["n", "w + 3", "w + 15"], ["w", "v + 14", "v + 29"], ["v", "r + 12", "r + 41"], ["r", "s + 16", "s + 57"], ["s", "d + 1", "d + 58"], ["d", 13, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"d": 13}, "is_reverse": true}} | 21,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 1; k = o + 19; l = g + 15; m = l + 20; b = k + 3; r = s + 16; v = r + 12; d = 13; w = v + 14; o = d + 8; g = b + 10; n = w + 3; a = n + 12. If d = 13, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 3 to a, which gives a = w + 15.\n2. Substitute w = v + 14 to a, which gives a = v + 29.\n3. Substitute v = r + 12 to a, which gives a = r + 41.\n4. Substitute r = s + 16 to a, which gives a = s + 57.\n5. Substitute s = d + 1 to a, which gives a = d + 58.\n6. Substitute d = 13 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 21424,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 1; k = o + 19; l = g + 15; m = l + 20; b = k + 3; r = s + 16; v = r + 12; d = 13; w = v + 14; o = d + 8; g = b + 10; n = w + 3; a = n + 12. If d = 13, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 12", "m": "t + 10", "e": "m + 8", "b": "e + 5", "l": "b + 2", "v": "l + 11", "f": "a + 1", "x": "f + 19", "c": "x + 15", "q": "c + 9", "d": "q + 11", "p": "d + 4", "a": 11}, "premises": {"a": 11}, "target": "v"}, "answer": {"steps": [["l", "b + 2", "b + 13"], ["b", "e + 5", "e + 18"], ["e", "m + 8", "m + 26"], ["m", "t + 10", "t + 36"], ["t", "a + 12", "a + 48"], ["a", 11, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"a": 11}, "is_reverse": true}} | 21,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = c + 9; c = x + 15; e = m + 8; l = b + 2; f = a + 1; p = d + 4; x = f + 19; t = a + 12; m = t + 10; d = q + 11; a = 11; b = e + 5; v = l + 11. Given that a = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 2 to v, which gives v = b + 13.\n2. Substitute b = e + 5 to v, which gives v = e + 18.\n3. Substitute e = m + 8 to v, which gives v = m + 26.\n4. Substitute m = t + 10 to v, which gives v = t + 36.\n5. Substitute t = a + 12 to v, which gives v = a + 48.\n6. Substitute a = 11 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 21425,
"question": "Suppose a collection of variables is related by the following definitions: q = c + 9; c = x + 15; e = m + 8; l = b + 2; f = a + 1; p = d + 4; x = f + 19; t = a + 12; m = t + 10; d = q + 11; a = 11; b = e + 5; v = l + 11. Given that a = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 13", "o": "d + 1", "j": "o + 19", "x": "j + 12", "b": "x + 7", "g": "b + 3", "e": "i + 9", "k": "e + 11", "v": "k + 12", "h": "v + 18", "z": "h + 4", "f": "z + 9", "i": 15}, "premises": {"i": 15}, "target": "g"}, "answer": {"steps": [["b", "x + 7", "x + 10"], ["x", "j + 12", "j + 22"], ["j", "o + 19", "o + 41"], ["o", "d + 1", "d + 42"], ["d", "i + 13", "i + 55"], ["i", 15, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"i": 15}, "is_reverse": true}} | 21,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 13; z = h + 4; f = z + 9; o = d + 1; h = v + 18; b = x + 7; k = e + 11; e = i + 9; j = o + 19; v = k + 12; i = 15; g = b + 3; x = j + 12. If i = 15, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 7 to g, which gives g = x + 10.\n2. Substitute x = j + 12 to g, which gives g = j + 22.\n3. Substitute j = o + 19 to g, which gives g = o + 41.\n4. Substitute o = d + 1 to g, which gives g = d + 42.\n5. Substitute d = i + 13 to g, which gives g = i + 55.\n6. Substitute i = 15 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 21426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 13; z = h + 4; f = z + 9; o = d + 1; h = v + 18; b = x + 7; k = e + 11; e = i + 9; j = o + 19; v = k + 12; i = 15; g = b + 3; x = j + 12. If i = 15, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 17", "y": "b + 8", "k": "y + 1", "w": "k + 9", "h": "w + 20", "l": "h + 14", "a": "z + 20", "o": "a + 5", "d": "o + 5", "s": "d + 7", "j": "s + 1", "f": "j + 2", "z": 16}, "premises": {"z": 16}, "target": "l"}, "answer": {"steps": [["h", "w + 20", "w + 34"], ["w", "k + 9", "k + 43"], ["k", "y + 1", "y + 44"], ["y", "b + 8", "b + 52"], ["b", "z + 17", "z + 69"], ["z", 16, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"z": 16}, "is_reverse": true}} | 21,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 1; f = j + 2; w = k + 9; a = z + 20; z = 16; y = b + 8; l = h + 14; k = y + 1; h = w + 20; b = z + 17; s = d + 7; o = a + 5; d = o + 5. Given that z = 16, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 20 to l, which gives l = w + 34.\n2. Substitute w = k + 9 to l, which gives l = k + 43.\n3. Substitute k = y + 1 to l, which gives l = y + 44.\n4. Substitute y = b + 8 to l, which gives l = b + 52.\n5. Substitute b = z + 17 to l, which gives l = z + 69.\n6. Substitute z = 16 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 21427,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 1; f = j + 2; w = k + 9; a = z + 20; z = 16; y = b + 8; l = h + 14; k = y + 1; h = w + 20; b = z + 17; s = d + 7; o = a + 5; d = o + 5. Given that z = 16, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 8", "n": "r + 9", "z": "n + 12", "k": "z + 1", "s": "k + 7", "m": "s + 6", "b": "q + 4", "h": "b + 20", "a": "h + 3", "d": "a + 9", "v": "d + 18", "c": "v + 7", "q": 12}, "premises": {"q": 12}, "target": "m"}, "answer": {"steps": [["s", "k + 7", "k + 13"], ["k", "z + 1", "z + 14"], ["z", "n + 12", "n + 26"], ["n", "r + 9", "r + 35"], ["r", "q + 8", "q + 43"], ["q", 12, "55"]], "target_var_name": "m", "target_value": 55, "value_dict": {"q": 12}, "is_reverse": true}} | 21,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 7; a = h + 3; d = a + 9; r = q + 8; z = n + 12; v = d + 18; b = q + 4; c = v + 7; k = z + 1; m = s + 6; h = b + 20; n = r + 9; q = 12. If q = 12, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 7 to m, which gives m = k + 13.\n2. Substitute k = z + 1 to m, which gives m = z + 14.\n3. Substitute z = n + 12 to m, which gives m = n + 26.\n4. Substitute n = r + 9 to m, which gives m = r + 35.\n5. Substitute r = q + 8 to m, which gives m = q + 43.\n6. Substitute q = 12 to m, which gives m = 55.\n\nThus, the final answer is m = \\boxed{55}.",
"index": 21428,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 7; a = h + 3; d = a + 9; r = q + 8; z = n + 12; v = d + 18; b = q + 4; c = v + 7; k = z + 1; m = s + 6; h = b + 20; n = r + 9; q = 12. If q = 12, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 3", "l": "k + 6", "e": "l + 13", "u": "e + 18", "t": "u + 5", "f": "t + 12", "c": "p + 1", "o": "c + 2", "h": "o + 1", "z": "h + 4", "n": "z + 13", "a": "n + 7", "p": 1}, "premises": {"p": 1}, "target": "f"}, "answer": {"steps": [["t", "u + 5", "u + 17"], ["u", "e + 18", "e + 35"], ["e", "l + 13", "l + 48"], ["l", "k + 6", "k + 54"], ["k", "p + 3", "p + 57"], ["p", 1, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"p": 1}, "is_reverse": true}} | 21,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 13; e = l + 13; z = h + 4; c = p + 1; u = e + 18; a = n + 7; k = p + 3; t = u + 5; l = k + 6; h = o + 1; p = 1; f = t + 12; o = c + 2. If p = 1, determine the 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 t = u + 5 to f, which gives f = u + 17.\n2. Substitute u = e + 18 to f, which gives f = e + 35.\n3. Substitute e = l + 13 to f, which gives f = l + 48.\n4. Substitute l = k + 6 to f, which gives f = k + 54.\n5. Substitute k = p + 3 to f, which gives f = p + 57.\n6. Substitute p = 1 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 21429,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 13; e = l + 13; z = h + 4; c = p + 1; u = e + 18; a = n + 7; k = p + 3; t = u + 5; l = k + 6; h = o + 1; p = 1; f = t + 12; o = c + 2. If p = 1, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 1", "c": "d + 2", "t": "c + 6", "k": "t + 10", "i": "k + 11", "e": "i + 20", "u": "z + 13", "b": "u + 14", "s": "b + 2", "n": "s + 6", "r": "n + 6", "h": "r + 5", "z": 1}, "premises": {"z": 1}, "target": "e"}, "answer": {"steps": [["i", "k + 11", "k + 31"], ["k", "t + 10", "t + 41"], ["t", "c + 6", "c + 47"], ["c", "d + 2", "d + 49"], ["d", "z + 1", "z + 50"], ["z", 1, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"z": 1}, "is_reverse": true}} | 21,430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 11; d = z + 1; k = t + 10; h = r + 5; b = u + 14; e = i + 20; r = n + 6; t = c + 6; n = s + 6; c = d + 2; s = b + 2; u = z + 13; z = 1. If z = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 11 to e, which gives e = k + 31.\n2. Substitute k = t + 10 to e, which gives e = t + 41.\n3. Substitute t = c + 6 to e, which gives e = c + 47.\n4. Substitute c = d + 2 to e, which gives e = d + 49.\n5. Substitute d = z + 1 to e, which gives e = z + 50.\n6. Substitute z = 1 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 21430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = k + 11; d = z + 1; k = t + 10; h = r + 5; b = u + 14; e = i + 20; r = n + 6; t = c + 6; n = s + 6; c = d + 2; s = b + 2; u = z + 13; z = 1. If z = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 12", "k": "h + 5", "r": "k + 9", "d": "r + 16", "g": "d + 7", "a": "g + 9", "o": "j + 18", "p": "o + 17", "m": "p + 11", "z": "m + 9", "y": "z + 9", "x": "y + 12", "j": 5}, "premises": {"j": 5}, "target": "a"}, "answer": {"steps": [["g", "d + 7", "d + 16"], ["d", "r + 16", "r + 32"], ["r", "k + 9", "k + 41"], ["k", "h + 5", "h + 46"], ["h", "j + 12", "j + 58"], ["j", 5, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"j": 5}, "is_reverse": true}} | 21,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = j + 18; d = r + 16; k = h + 5; j = 5; g = d + 7; x = y + 12; h = j + 12; y = z + 9; a = g + 9; m = p + 11; z = m + 9; r = k + 9; p = o + 17. If j = 5, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 7 to a, which gives a = d + 16.\n2. Substitute d = r + 16 to a, which gives a = r + 32.\n3. Substitute r = k + 9 to a, which gives a = k + 41.\n4. Substitute k = h + 5 to a, which gives a = h + 46.\n5. Substitute h = j + 12 to a, which gives a = j + 58.\n6. Substitute j = 5 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 21431,
"question": "Consider a system of variables where each variable is defined as follows: o = j + 18; d = r + 16; k = h + 5; j = 5; g = d + 7; x = y + 12; h = j + 12; y = z + 9; a = g + 9; m = p + 11; z = m + 9; r = k + 9; p = o + 17. If j = 5, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 18", "j": "q + 12", "h": "j + 17", "m": "h + 13", "z": "m + 16", "c": "z + 20", "i": "e + 19", "f": "i + 1", "n": "f + 13", "d": "n + 11", "x": "d + 7", "v": "x + 5", "e": 3}, "premises": {"e": 3}, "target": "c"}, "answer": {"steps": [["z", "m + 16", "m + 36"], ["m", "h + 13", "h + 49"], ["h", "j + 17", "j + 66"], ["j", "q + 12", "q + 78"], ["q", "e + 18", "e + 96"], ["e", 3, "99"]], "target_var_name": "c", "target_value": 99, "value_dict": {"e": 3}, "is_reverse": true}} | 21,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 13; j = q + 12; h = j + 17; m = h + 13; v = x + 5; z = m + 16; q = e + 18; e = 3; i = e + 19; c = z + 20; d = n + 11; f = i + 1; x = d + 7. If e = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 16 to c, which gives c = m + 36.\n2. Substitute m = h + 13 to c, which gives c = h + 49.\n3. Substitute h = j + 17 to c, which gives c = j + 66.\n4. Substitute j = q + 12 to c, which gives c = q + 78.\n5. Substitute q = e + 18 to c, which gives c = e + 96.\n6. Substitute e = 3 to c, which gives c = 99.\n\nThus, the final answer is c = \\boxed{99}.",
"index": 21432,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 13; j = q + 12; h = j + 17; m = h + 13; v = x + 5; z = m + 16; q = e + 18; e = 3; i = e + 19; c = z + 20; d = n + 11; f = i + 1; x = d + 7. If e = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 3", "r": "v + 14", "g": "r + 18", "x": "g + 20", "z": "x + 17", "b": "z + 10", "a": "p + 16", "u": "a + 20", "s": "u + 5", "f": "s + 13", "y": "f + 4", "e": "y + 17", "p": 3}, "premises": {"p": 3}, "target": "b"}, "answer": {"steps": [["z", "x + 17", "x + 27"], ["x", "g + 20", "g + 47"], ["g", "r + 18", "r + 65"], ["r", "v + 14", "v + 79"], ["v", "p + 3", "p + 82"], ["p", 3, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"p": 3}, "is_reverse": true}} | 21,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 5; r = v + 14; a = p + 16; e = y + 17; x = g + 20; f = s + 13; z = x + 17; u = a + 20; b = z + 10; g = r + 18; p = 3; v = p + 3; y = f + 4. Given that p = 3, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 17 to b, which gives b = x + 27.\n2. Substitute x = g + 20 to b, which gives b = g + 47.\n3. Substitute g = r + 18 to b, which gives b = r + 65.\n4. Substitute r = v + 14 to b, which gives b = v + 79.\n5. Substitute v = p + 3 to b, which gives b = p + 82.\n6. Substitute p = 3 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 21433,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 5; r = v + 14; a = p + 16; e = y + 17; x = g + 20; f = s + 13; z = x + 17; u = a + 20; b = z + 10; g = r + 18; p = 3; v = p + 3; y = f + 4. Given that p = 3, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 6", "q": "o + 10", "b": "q + 5", "u": "b + 7", "y": "u + 5", "m": "y + 5", "d": "n + 13", "z": "d + 16", "e": "z + 5", "j": "e + 20", "p": "j + 12", "c": "p + 2", "n": 8}, "premises": {"n": 8}, "target": "m"}, "answer": {"steps": [["y", "u + 5", "u + 10"], ["u", "b + 7", "b + 17"], ["b", "q + 5", "q + 22"], ["q", "o + 10", "o + 32"], ["o", "n + 6", "n + 38"], ["n", 8, "46"]], "target_var_name": "m", "target_value": 46, "value_dict": {"n": 8}, "is_reverse": true}} | 21,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = n + 13; j = e + 20; p = j + 12; z = d + 16; n = 8; y = u + 5; m = y + 5; e = z + 5; u = b + 7; b = q + 5; o = n + 6; q = o + 10; c = p + 2. Given that n = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 5 to m, which gives m = u + 10.\n2. Substitute u = b + 7 to m, which gives m = b + 17.\n3. Substitute b = q + 5 to m, which gives m = q + 22.\n4. Substitute q = o + 10 to m, which gives m = o + 32.\n5. Substitute o = n + 6 to m, which gives m = n + 38.\n6. Substitute n = 8 to m, which gives m = 46.\n\nThus, the final answer is m = \\boxed{46}.",
"index": 21434,
"question": "Suppose a collection of variables is related by the following definitions: d = n + 13; j = e + 20; p = j + 12; z = d + 16; n = 8; y = u + 5; m = y + 5; e = z + 5; u = b + 7; b = q + 5; o = n + 6; q = o + 10; c = p + 2. Given that n = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 3", "a": "j + 1", "w": "a + 19", "e": "w + 12", "x": "e + 12", "p": "x + 3", "y": "c + 2", "b": "y + 12", "u": "b + 1", "q": "u + 14", "i": "q + 1", "l": "i + 11", "c": 5}, "premises": {"c": 5}, "target": "p"}, "answer": {"steps": [["x", "e + 12", "e + 15"], ["e", "w + 12", "w + 27"], ["w", "a + 19", "a + 46"], ["a", "j + 1", "j + 47"], ["j", "c + 3", "c + 50"], ["c", 5, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"c": 5}, "is_reverse": true}} | 21,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = b + 1; q = u + 14; y = c + 2; j = c + 3; p = x + 3; a = j + 1; c = 5; l = i + 11; b = y + 12; e = w + 12; i = q + 1; x = e + 12; w = a + 19. Given that c = 5, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 12 to p, which gives p = e + 15.\n2. Substitute e = w + 12 to p, which gives p = w + 27.\n3. Substitute w = a + 19 to p, which gives p = a + 46.\n4. Substitute a = j + 1 to p, which gives p = j + 47.\n5. Substitute j = c + 3 to p, which gives p = c + 50.\n6. Substitute c = 5 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 21435,
"question": "Suppose a collection of variables is related by the following definitions: u = b + 1; q = u + 14; y = c + 2; j = c + 3; p = x + 3; a = j + 1; c = 5; l = i + 11; b = y + 12; e = w + 12; i = q + 1; x = e + 12; w = a + 19. Given that c = 5, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 4", "p": "c + 11", "k": "p + 16", "u": "k + 1", "w": "u + 6", "r": "w + 6", "i": "d + 20", "s": "i + 5", "l": "s + 15", "o": "l + 17", "j": "o + 1", "n": "j + 1", "d": 9}, "premises": {"d": 9}, "target": "r"}, "answer": {"steps": [["w", "u + 6", "u + 12"], ["u", "k + 1", "k + 13"], ["k", "p + 16", "p + 29"], ["p", "c + 11", "c + 40"], ["c", "d + 4", "d + 44"], ["d", 9, "53"]], "target_var_name": "r", "target_value": 53, "value_dict": {"d": 9}, "is_reverse": true}} | 21,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = i + 5; c = d + 4; d = 9; p = c + 11; o = l + 17; n = j + 1; w = u + 6; k = p + 16; r = w + 6; u = k + 1; i = d + 20; j = o + 1; l = s + 15. Given that d = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 6 to r, which gives r = u + 12.\n2. Substitute u = k + 1 to r, which gives r = k + 13.\n3. Substitute k = p + 16 to r, which gives r = p + 29.\n4. Substitute p = c + 11 to r, which gives r = c + 40.\n5. Substitute c = d + 4 to r, which gives r = d + 44.\n6. Substitute d = 9 to r, which gives r = 53.\n\nThus, the final answer is r = \\boxed{53}.",
"index": 21436,
"question": "Suppose a collection of variables is related by the following definitions: s = i + 5; c = d + 4; d = 9; p = c + 11; o = l + 17; n = j + 1; w = u + 6; k = p + 16; r = w + 6; u = k + 1; i = d + 20; j = o + 1; l = s + 15. Given that d = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 14", "o": "p + 5", "s": "o + 4", "n": "s + 14", "i": "n + 15", "q": "i + 10", "u": "d + 14", "g": "u + 2", "c": "g + 18", "r": "c + 4", "h": "r + 3", "t": "h + 7", "d": 19}, "premises": {"d": 19}, "target": "q"}, "answer": {"steps": [["i", "n + 15", "n + 25"], ["n", "s + 14", "s + 39"], ["s", "o + 4", "o + 43"], ["o", "p + 5", "p + 48"], ["p", "d + 14", "d + 62"], ["d", 19, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"d": 19}, "is_reverse": true}} | 21,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 2; n = s + 14; h = r + 3; c = g + 18; p = d + 14; t = h + 7; i = n + 15; d = 19; u = d + 14; o = p + 5; q = i + 10; r = c + 4; s = o + 4. If d = 19, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 15 to q, which gives q = n + 25.\n2. Substitute n = s + 14 to q, which gives q = s + 39.\n3. Substitute s = o + 4 to q, which gives q = o + 43.\n4. Substitute o = p + 5 to q, which gives q = p + 48.\n5. Substitute p = d + 14 to q, which gives q = d + 62.\n6. Substitute d = 19 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 21437,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 2; n = s + 14; h = r + 3; c = g + 18; p = d + 14; t = h + 7; i = n + 15; d = 19; u = d + 14; o = p + 5; q = i + 10; r = c + 4; s = o + 4. If d = 19, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 16", "d": "g + 6", "k": "d + 13", "c": "k + 7", "e": "c + 13", "h": "e + 6", "x": "n + 8", "j": "x + 11", "q": "j + 15", "i": "q + 12", "z": "i + 18", "t": "z + 13", "n": 9}, "premises": {"n": 9}, "target": "h"}, "answer": {"steps": [["e", "c + 13", "c + 19"], ["c", "k + 7", "k + 26"], ["k", "d + 13", "d + 39"], ["d", "g + 6", "g + 45"], ["g", "n + 16", "n + 61"], ["n", 9, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"n": 9}, "is_reverse": true}} | 21,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 12; j = x + 11; n = 9; z = i + 18; h = e + 6; k = d + 13; x = n + 8; g = n + 16; d = g + 6; q = j + 15; c = k + 7; t = z + 13; e = c + 13. If n = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 13 to h, which gives h = c + 19.\n2. Substitute c = k + 7 to h, which gives h = k + 26.\n3. Substitute k = d + 13 to h, which gives h = d + 39.\n4. Substitute d = g + 6 to h, which gives h = g + 45.\n5. Substitute g = n + 16 to h, which gives h = n + 61.\n6. Substitute n = 9 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 21438,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 12; j = x + 11; n = 9; z = i + 18; h = e + 6; k = d + 13; x = n + 8; g = n + 16; d = g + 6; q = j + 15; c = k + 7; t = z + 13; e = c + 13. If n = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 12", "h": "l + 1", "z": "h + 18", "u": "z + 17", "p": "u + 8", "v": "p + 7", "f": "k + 17", "g": "f + 18", "q": "g + 13", "w": "q + 7", "a": "w + 15", "c": "a + 5", "k": 5}, "premises": {"k": 5}, "target": "v"}, "answer": {"steps": [["p", "u + 8", "u + 15"], ["u", "z + 17", "z + 32"], ["z", "h + 18", "h + 50"], ["h", "l + 1", "l + 51"], ["l", "k + 12", "k + 63"], ["k", 5, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"k": 5}, "is_reverse": true}} | 21,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 18; c = a + 5; q = g + 13; g = f + 18; h = l + 1; k = 5; w = q + 7; v = p + 7; f = k + 17; l = k + 12; u = z + 17; a = w + 15; p = u + 8. Given that k = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 8 to v, which gives v = u + 15.\n2. Substitute u = z + 17 to v, which gives v = z + 32.\n3. Substitute z = h + 18 to v, which gives v = h + 50.\n4. Substitute h = l + 1 to v, which gives v = l + 51.\n5. Substitute l = k + 12 to v, which gives v = k + 63.\n6. Substitute k = 5 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 21439,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 18; c = a + 5; q = g + 13; g = f + 18; h = l + 1; k = 5; w = q + 7; v = p + 7; f = k + 17; l = k + 12; u = z + 17; a = w + 15; p = u + 8. Given that k = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 4", "l": "n + 7", "o": "l + 20", "e": "o + 1", "p": "e + 19", "g": "p + 8", "f": "u + 17", "a": "f + 7", "k": "a + 20", "w": "k + 3", "q": "w + 8", "d": "q + 2", "u": 2}, "premises": {"u": 2}, "target": "g"}, "answer": {"steps": [["p", "e + 19", "e + 27"], ["e", "o + 1", "o + 28"], ["o", "l + 20", "l + 48"], ["l", "n + 7", "n + 55"], ["n", "u + 4", "u + 59"], ["u", 2, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"u": 2}, "is_reverse": true}} | 21,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 7; p = e + 19; o = l + 20; q = w + 8; e = o + 1; n = u + 4; w = k + 3; k = a + 20; d = q + 2; u = 2; g = p + 8; f = u + 17; a = f + 7. If u = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = e + 19 to g, which gives g = e + 27.\n2. Substitute e = o + 1 to g, which gives g = o + 28.\n3. Substitute o = l + 20 to g, which gives g = l + 48.\n4. Substitute l = n + 7 to g, which gives g = n + 55.\n5. Substitute n = u + 4 to g, which gives g = u + 59.\n6. Substitute u = 2 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 21440,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 7; p = e + 19; o = l + 20; q = w + 8; e = o + 1; n = u + 4; w = k + 3; k = a + 20; d = q + 2; u = 2; g = p + 8; f = u + 17; a = f + 7. If u = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 9", "g": "v + 4", "j": "g + 11", "l": "j + 2", "a": "l + 7", "x": "a + 1", "t": "k + 10", "b": "t + 6", "e": "b + 6", "u": "e + 1", "s": "u + 17", "h": "s + 12", "k": 12}, "premises": {"k": 12}, "target": "x"}, "answer": {"steps": [["a", "l + 7", "l + 8"], ["l", "j + 2", "j + 10"], ["j", "g + 11", "g + 21"], ["g", "v + 4", "v + 25"], ["v", "k + 9", "k + 34"], ["k", 12, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"k": 12}, "is_reverse": true}} | 21,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 6; u = e + 1; h = s + 12; b = t + 6; x = a + 1; a = l + 7; v = k + 9; j = g + 11; k = 12; t = k + 10; g = v + 4; s = u + 17; l = j + 2. Given that k = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 7 to x, which gives x = l + 8.\n2. Substitute l = j + 2 to x, which gives x = j + 10.\n3. Substitute j = g + 11 to x, which gives x = g + 21.\n4. Substitute g = v + 4 to x, which gives x = v + 25.\n5. Substitute v = k + 9 to x, which gives x = k + 34.\n6. Substitute k = 12 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 21441,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 6; u = e + 1; h = s + 12; b = t + 6; x = a + 1; a = l + 7; v = k + 9; j = g + 11; k = 12; t = k + 10; g = v + 4; s = u + 17; l = j + 2. Given that k = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 2", "j": "e + 6", "h": "j + 1", "y": "h + 20", "n": "y + 11", "t": "n + 3", "i": "u + 17", "z": "i + 1", "l": "z + 16", "s": "l + 8", "o": "s + 12", "m": "o + 8", "u": 4}, "premises": {"u": 4}, "target": "t"}, "answer": {"steps": [["n", "y + 11", "y + 14"], ["y", "h + 20", "h + 34"], ["h", "j + 1", "j + 35"], ["j", "e + 6", "e + 41"], ["e", "u + 2", "u + 43"], ["u", 4, "47"]], "target_var_name": "t", "target_value": 47, "value_dict": {"u": 4}, "is_reverse": true}} | 21,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 17; u = 4; y = h + 20; m = o + 8; z = i + 1; j = e + 6; n = y + 11; e = u + 2; s = l + 8; t = n + 3; l = z + 16; o = s + 12; h = j + 1. Given that u = 4, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = y + 11 to t, which gives t = y + 14.\n2. Substitute y = h + 20 to t, which gives t = h + 34.\n3. Substitute h = j + 1 to t, which gives t = j + 35.\n4. Substitute j = e + 6 to t, which gives t = e + 41.\n5. Substitute e = u + 2 to t, which gives t = u + 43.\n6. Substitute u = 4 to t, which gives t = 47.\n\nThus, the final answer is t = \\boxed{47}.",
"index": 21442,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 17; u = 4; y = h + 20; m = o + 8; z = i + 1; j = e + 6; n = y + 11; e = u + 2; s = l + 8; t = n + 3; l = z + 16; o = s + 12; h = j + 1. Given that u = 4, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 16", "b": "w + 9", "h": "b + 9", "k": "h + 15", "d": "k + 13", "z": "d + 8", "x": "a + 10", "e": "x + 20", "l": "e + 9", "j": "l + 12", "o": "j + 2", "q": "o + 7", "a": 20}, "premises": {"a": 20}, "target": "z"}, "answer": {"steps": [["d", "k + 13", "k + 21"], ["k", "h + 15", "h + 36"], ["h", "b + 9", "b + 45"], ["b", "w + 9", "w + 54"], ["w", "a + 16", "a + 70"], ["a", 20, "90"]], "target_var_name": "z", "target_value": 90, "value_dict": {"a": 20}, "is_reverse": true}} | 21,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 9; w = a + 16; b = w + 9; z = d + 8; q = o + 7; a = 20; j = l + 12; x = a + 10; e = x + 20; k = h + 15; d = k + 13; h = b + 9; o = j + 2. Given that a = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 13 to z, which gives z = k + 21.\n2. Substitute k = h + 15 to z, which gives z = h + 36.\n3. Substitute h = b + 9 to z, which gives z = b + 45.\n4. Substitute b = w + 9 to z, which gives z = w + 54.\n5. Substitute w = a + 16 to z, which gives z = a + 70.\n6. Substitute a = 20 to z, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 21443,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 9; w = a + 16; b = w + 9; z = d + 8; q = o + 7; a = 20; j = l + 12; x = a + 10; e = x + 20; k = h + 15; d = k + 13; h = b + 9; o = j + 2. Given that a = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 11", "w": "e + 15", "l": "w + 20", "u": "l + 10", "y": "u + 20", "d": "y + 12", "g": "z + 15", "a": "g + 3", "b": "a + 16", "h": "b + 11", "v": "h + 8", "t": "v + 12", "z": 11}, "premises": {"z": 11}, "target": "d"}, "answer": {"steps": [["y", "u + 20", "u + 32"], ["u", "l + 10", "l + 42"], ["l", "w + 20", "w + 62"], ["w", "e + 15", "e + 77"], ["e", "z + 11", "z + 88"], ["z", 11, "99"]], "target_var_name": "d", "target_value": 99, "value_dict": {"z": 11}, "is_reverse": true}} | 21,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = b + 11; a = g + 3; y = u + 20; b = a + 16; t = v + 12; d = y + 12; z = 11; e = z + 11; l = w + 20; g = z + 15; v = h + 8; u = l + 10; w = e + 15. If z = 11, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 20 to d, which gives d = u + 32.\n2. Substitute u = l + 10 to d, which gives d = l + 42.\n3. Substitute l = w + 20 to d, which gives d = w + 62.\n4. Substitute w = e + 15 to d, which gives d = e + 77.\n5. Substitute e = z + 11 to d, which gives d = z + 88.\n6. Substitute z = 11 to d, which gives d = 99.\n\nThus, the final answer is d = \\boxed{99}.",
"index": 21444,
"question": "Consider a system of variables where each variable is defined as follows: h = b + 11; a = g + 3; y = u + 20; b = a + 16; t = v + 12; d = y + 12; z = 11; e = z + 11; l = w + 20; g = z + 15; v = h + 8; u = l + 10; w = e + 15. If z = 11, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 6", "a": "c + 19", "o": "a + 12", "t": "o + 18", "i": "t + 19", "v": "i + 2", "p": "l + 10", "u": "p + 6", "b": "u + 14", "q": "b + 17", "s": "q + 20", "j": "s + 20", "l": 8}, "premises": {"l": 8}, "target": "v"}, "answer": {"steps": [["i", "t + 19", "t + 21"], ["t", "o + 18", "o + 39"], ["o", "a + 12", "a + 51"], ["a", "c + 19", "c + 70"], ["c", "l + 6", "l + 76"], ["l", 8, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"l": 8}, "is_reverse": true}} | 21,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = a + 12; j = s + 20; l = 8; p = l + 10; v = i + 2; a = c + 19; q = b + 17; c = l + 6; t = o + 18; b = u + 14; i = t + 19; s = q + 20; u = p + 6. If l = 8, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 19 to v, which gives v = t + 21.\n2. Substitute t = o + 18 to v, which gives v = o + 39.\n3. Substitute o = a + 12 to v, which gives v = a + 51.\n4. Substitute a = c + 19 to v, which gives v = c + 70.\n5. Substitute c = l + 6 to v, which gives v = l + 76.\n6. Substitute l = 8 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 21445,
"question": "Consider a system of variables where each variable is defined as follows: o = a + 12; j = s + 20; l = 8; p = l + 10; v = i + 2; a = c + 19; q = b + 17; c = l + 6; t = o + 18; b = u + 14; i = t + 19; s = q + 20; u = p + 6. If l = 8, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 1", "a": "b + 20", "x": "a + 17", "c": "x + 1", "s": "c + 10", "k": "s + 4", "o": "g + 20", "h": "o + 11", "i": "h + 18", "w": "i + 8", "u": "w + 11", "e": "u + 2", "g": 15}, "premises": {"g": 15}, "target": "k"}, "answer": {"steps": [["s", "c + 10", "c + 14"], ["c", "x + 1", "x + 15"], ["x", "a + 17", "a + 32"], ["a", "b + 20", "b + 52"], ["b", "g + 1", "g + 53"], ["g", 15, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"g": 15}, "is_reverse": true}} | 21,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 17; s = c + 10; b = g + 1; a = b + 20; c = x + 1; w = i + 8; i = h + 18; h = o + 11; e = u + 2; u = w + 11; k = s + 4; g = 15; o = g + 20. Given that g = 15, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 10 to k, which gives k = c + 14.\n2. Substitute c = x + 1 to k, which gives k = x + 15.\n3. Substitute x = a + 17 to k, which gives k = a + 32.\n4. Substitute a = b + 20 to k, which gives k = b + 52.\n5. Substitute b = g + 1 to k, which gives k = g + 53.\n6. Substitute g = 15 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 21446,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 17; s = c + 10; b = g + 1; a = b + 20; c = x + 1; w = i + 8; i = h + 18; h = o + 11; e = u + 2; u = w + 11; k = s + 4; g = 15; o = g + 20. Given that g = 15, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "c + 8", "u": "l + 17", "w": "u + 2", "a": "w + 6", "j": "a + 18", "s": "j + 14", "m": "c + 19", "o": "m + 18", "g": "o + 16", "r": "g + 18", "e": "r + 19", "y": "e + 17", "c": 17}, "premises": {"c": 17}, "target": "s"}, "answer": {"steps": [["j", "a + 18", "a + 32"], ["a", "w + 6", "w + 38"], ["w", "u + 2", "u + 40"], ["u", "l + 17", "l + 57"], ["l", "c + 8", "c + 65"], ["c", 17, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"c": 17}, "is_reverse": true}} | 21,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = j + 14; u = l + 17; w = u + 2; r = g + 18; o = m + 18; l = c + 8; a = w + 6; e = r + 19; c = 17; y = e + 17; j = a + 18; m = c + 19; g = o + 16. If c = 17, 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 j = a + 18 to s, which gives s = a + 32.\n2. Substitute a = w + 6 to s, which gives s = w + 38.\n3. Substitute w = u + 2 to s, which gives s = u + 40.\n4. Substitute u = l + 17 to s, which gives s = l + 57.\n5. Substitute l = c + 8 to s, which gives s = c + 65.\n6. Substitute c = 17 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 21447,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = j + 14; u = l + 17; w = u + 2; r = g + 18; o = m + 18; l = c + 8; a = w + 6; e = r + 19; c = 17; y = e + 17; j = a + 18; m = c + 19; g = o + 16. If c = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 8", "w": "j + 13", "d": "w + 3", "f": "d + 12", "n": "f + 14", "h": "n + 20", "k": "q + 8", "b": "k + 6", "o": "b + 2", "c": "o + 8", "u": "c + 5", "p": "u + 1", "q": 16}, "premises": {"q": 16}, "target": "h"}, "answer": {"steps": [["n", "f + 14", "f + 34"], ["f", "d + 12", "d + 46"], ["d", "w + 3", "w + 49"], ["w", "j + 13", "j + 62"], ["j", "q + 8", "q + 70"], ["q", 16, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"q": 16}, "is_reverse": true}} | 21,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = n + 20; d = w + 3; b = k + 6; c = o + 8; k = q + 8; o = b + 2; q = 16; j = q + 8; n = f + 14; f = d + 12; u = c + 5; p = u + 1; w = j + 13. Given that q = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 14 to h, which gives h = f + 34.\n2. Substitute f = d + 12 to h, which gives h = d + 46.\n3. Substitute d = w + 3 to h, which gives h = w + 49.\n4. Substitute w = j + 13 to h, which gives h = j + 62.\n5. Substitute j = q + 8 to h, which gives h = q + 70.\n6. Substitute q = 16 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 21448,
"question": "Suppose a collection of variables is related by the following definitions: h = n + 20; d = w + 3; b = k + 6; c = o + 8; k = q + 8; o = b + 2; q = 16; j = q + 8; n = f + 14; f = d + 12; u = c + 5; p = u + 1; w = j + 13. Given that q = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 11", "l": "i + 1", "c": "l + 11", "w": "c + 15", "x": "w + 17", "u": "x + 20", "z": "s + 13", "q": "z + 2", "a": "q + 9", "v": "a + 5", "d": "v + 18", "n": "d + 10", "s": 5}, "premises": {"s": 5}, "target": "u"}, "answer": {"steps": [["x", "w + 17", "w + 37"], ["w", "c + 15", "c + 52"], ["c", "l + 11", "l + 63"], ["l", "i + 1", "i + 64"], ["i", "s + 11", "s + 75"], ["s", 5, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"s": 5}, "is_reverse": true}} | 21,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 5; w = c + 15; q = z + 2; v = a + 5; c = l + 11; a = q + 9; z = s + 13; x = w + 17; u = x + 20; l = i + 1; d = v + 18; i = s + 11; n = d + 10. Given that s = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 17 to u, which gives u = w + 37.\n2. Substitute w = c + 15 to u, which gives u = c + 52.\n3. Substitute c = l + 11 to u, which gives u = l + 63.\n4. Substitute l = i + 1 to u, which gives u = i + 64.\n5. Substitute i = s + 11 to u, which gives u = s + 75.\n6. Substitute s = 5 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 21449,
"question": "Suppose a collection of variables is related by the following definitions: s = 5; w = c + 15; q = z + 2; v = a + 5; c = l + 11; a = q + 9; z = s + 13; x = w + 17; u = x + 20; l = i + 1; d = v + 18; i = s + 11; n = d + 10. Given that s = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 7", "i": "w + 4", "b": "i + 8", "m": "b + 15", "t": "m + 8", "d": "t + 13", "q": "y + 10", "r": "q + 17", "g": "r + 9", "a": "g + 15", "s": "a + 9", "c": "s + 12", "y": 18}, "premises": {"y": 18}, "target": "d"}, "answer": {"steps": [["t", "m + 8", "m + 21"], ["m", "b + 15", "b + 36"], ["b", "i + 8", "i + 44"], ["i", "w + 4", "w + 48"], ["w", "y + 7", "y + 55"], ["y", 18, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"y": 18}, "is_reverse": true}} | 21,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 18; w = y + 7; t = m + 8; i = w + 4; d = t + 13; a = g + 15; q = y + 10; s = a + 9; g = r + 9; b = i + 8; c = s + 12; r = q + 17; m = b + 15. If y = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 8 to d, which gives d = m + 21.\n2. Substitute m = b + 15 to d, which gives d = b + 36.\n3. Substitute b = i + 8 to d, which gives d = i + 44.\n4. Substitute i = w + 4 to d, which gives d = w + 48.\n5. Substitute w = y + 7 to d, which gives d = y + 55.\n6. Substitute y = 18 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 21450,
"question": "Consider a system of variables where each variable is defined as follows: y = 18; w = y + 7; t = m + 8; i = w + 4; d = t + 13; a = g + 15; q = y + 10; s = a + 9; g = r + 9; b = i + 8; c = s + 12; r = q + 17; m = b + 15. If y = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 18", "o": "s + 8", "d": "o + 4", "p": "d + 17", "e": "p + 9", "u": "e + 2", "g": "w + 2", "v": "g + 5", "h": "v + 8", "b": "h + 14", "m": "b + 6", "r": "m + 20", "w": 14}, "premises": {"w": 14}, "target": "u"}, "answer": {"steps": [["e", "p + 9", "p + 11"], ["p", "d + 17", "d + 28"], ["d", "o + 4", "o + 32"], ["o", "s + 8", "s + 40"], ["s", "w + 18", "w + 58"], ["w", 14, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"w": 14}, "is_reverse": true}} | 21,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 20; s = w + 18; b = h + 14; p = d + 17; u = e + 2; m = b + 6; o = s + 8; h = v + 8; d = o + 4; v = g + 5; w = 14; e = p + 9; g = w + 2. If w = 14, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 9 to u, which gives u = p + 11.\n2. Substitute p = d + 17 to u, which gives u = d + 28.\n3. Substitute d = o + 4 to u, which gives u = o + 32.\n4. Substitute o = s + 8 to u, which gives u = s + 40.\n5. Substitute s = w + 18 to u, which gives u = w + 58.\n6. Substitute w = 14 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 21451,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 20; s = w + 18; b = h + 14; p = d + 17; u = e + 2; m = b + 6; o = s + 8; h = v + 8; d = o + 4; v = g + 5; w = 14; e = p + 9; g = w + 2. If w = 14, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 10", "q": "n + 17", "u": "q + 15", "d": "u + 11", "r": "d + 19", "y": "r + 13", "k": "j + 3", "o": "k + 4", "c": "o + 20", "s": "c + 17", "m": "s + 14", "v": "m + 13", "j": 18}, "premises": {"j": 18}, "target": "y"}, "answer": {"steps": [["r", "d + 19", "d + 32"], ["d", "u + 11", "u + 43"], ["u", "q + 15", "q + 58"], ["q", "n + 17", "n + 75"], ["n", "j + 10", "j + 85"], ["j", 18, "103"]], "target_var_name": "y", "target_value": 103, "value_dict": {"j": 18}, "is_reverse": true}} | 21,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 13; s = c + 17; o = k + 4; j = 18; d = u + 11; n = j + 10; y = r + 13; k = j + 3; r = d + 19; c = o + 20; q = n + 17; m = s + 14; u = q + 15. Given that j = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 19 to y, which gives y = d + 32.\n2. Substitute d = u + 11 to y, which gives y = u + 43.\n3. Substitute u = q + 15 to y, which gives y = q + 58.\n4. Substitute q = n + 17 to y, which gives y = n + 75.\n5. Substitute n = j + 10 to y, which gives y = j + 85.\n6. Substitute j = 18 to y, which gives y = 103.\n\nThus, the final answer is y = \\boxed{103}.",
"index": 21452,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 13; s = c + 17; o = k + 4; j = 18; d = u + 11; n = j + 10; y = r + 13; k = j + 3; r = d + 19; c = o + 20; q = n + 17; m = s + 14; u = q + 15. Given that j = 18, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 14", "i": "h + 10", "j": "i + 20", "v": "j + 9", "o": "v + 13", "e": "o + 16", "u": "x + 8", "l": "u + 7", "p": "l + 13", "y": "p + 12", "a": "y + 16", "r": "a + 6", "x": 19}, "premises": {"x": 19}, "target": "e"}, "answer": {"steps": [["o", "v + 13", "v + 29"], ["v", "j + 9", "j + 38"], ["j", "i + 20", "i + 58"], ["i", "h + 10", "h + 68"], ["h", "x + 14", "x + 82"], ["x", 19, "101"]], "target_var_name": "e", "target_value": 101, "value_dict": {"x": 19}, "is_reverse": true}} | 21,453 | 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 = v + 13; r = a + 6; v = j + 9; x = 19; p = l + 13; e = o + 16; i = h + 10; u = x + 8; j = i + 20; a = y + 16; l = u + 7; y = p + 12; h = x + 14. If x = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 13 to e, which gives e = v + 29.\n2. Substitute v = j + 9 to e, which gives e = j + 38.\n3. Substitute j = i + 20 to e, which gives e = i + 58.\n4. Substitute i = h + 10 to e, which gives e = h + 68.\n5. Substitute h = x + 14 to e, which gives e = x + 82.\n6. Substitute x = 19 to e, which gives e = 101.\n\nThus, the final answer is e = \\boxed{101}.",
"index": 21453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 13; r = a + 6; v = j + 9; x = 19; p = l + 13; e = o + 16; i = h + 10; u = x + 8; j = i + 20; a = y + 16; l = u + 7; y = p + 12; h = x + 14. If x = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 7", "d": "m + 12", "o": "d + 7", "e": "o + 14", "v": "e + 4", "q": "v + 3", "x": "r + 3", "i": "x + 5", "b": "i + 6", "f": "b + 10", "t": "f + 18", "g": "t + 6", "r": 17}, "premises": {"r": 17}, "target": "q"}, "answer": {"steps": [["v", "e + 4", "e + 7"], ["e", "o + 14", "o + 21"], ["o", "d + 7", "d + 28"], ["d", "m + 12", "m + 40"], ["m", "r + 7", "r + 47"], ["r", 17, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"r": 17}, "is_reverse": true}} | 21,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 12; f = b + 10; v = e + 4; e = o + 14; t = f + 18; i = x + 5; q = v + 3; b = i + 6; x = r + 3; o = d + 7; m = r + 7; r = 17; g = t + 6. If r = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 4 to q, which gives q = e + 7.\n2. Substitute e = o + 14 to q, which gives q = o + 21.\n3. Substitute o = d + 7 to q, which gives q = d + 28.\n4. Substitute d = m + 12 to q, which gives q = m + 40.\n5. Substitute m = r + 7 to q, which gives q = r + 47.\n6. Substitute r = 17 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 21454,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 12; f = b + 10; v = e + 4; e = o + 14; t = f + 18; i = x + 5; q = v + 3; b = i + 6; x = r + 3; o = d + 7; m = r + 7; r = 17; g = t + 6. If r = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 16", "y": "w + 20", "f": "y + 16", "d": "f + 6", "e": "d + 18", "p": "e + 13", "g": "a + 7", "l": "g + 13", "k": "l + 2", "c": "k + 6", "o": "c + 20", "z": "o + 17", "a": 17}, "premises": {"a": 17}, "target": "p"}, "answer": {"steps": [["e", "d + 18", "d + 31"], ["d", "f + 6", "f + 37"], ["f", "y + 16", "y + 53"], ["y", "w + 20", "w + 73"], ["w", "a + 16", "a + 89"], ["a", 17, "106"]], "target_var_name": "p", "target_value": 106, "value_dict": {"a": 17}, "is_reverse": true}} | 21,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = g + 13; o = c + 20; z = o + 17; a = 17; f = y + 16; w = a + 16; k = l + 2; y = w + 20; e = d + 18; d = f + 6; c = k + 6; p = e + 13; g = a + 7. Given that a = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 18 to p, which gives p = d + 31.\n2. Substitute d = f + 6 to p, which gives p = f + 37.\n3. Substitute f = y + 16 to p, which gives p = y + 53.\n4. Substitute y = w + 20 to p, which gives p = w + 73.\n5. Substitute w = a + 16 to p, which gives p = a + 89.\n6. Substitute a = 17 to p, which gives p = 106.\n\nThus, the final answer is p = \\boxed{106}.",
"index": 21455,
"question": "Suppose a collection of variables is related by the following definitions: l = g + 13; o = c + 20; z = o + 17; a = 17; f = y + 16; w = a + 16; k = l + 2; y = w + 20; e = d + 18; d = f + 6; c = k + 6; p = e + 13; g = a + 7. Given that a = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 19", "y": "x + 11", "i": "y + 6", "v": "i + 11", "c": "v + 8", "p": "c + 11", "g": "l + 2", "e": "g + 15", "f": "e + 19", "t": "f + 20", "a": "t + 3", "n": "a + 10", "l": 7}, "premises": {"l": 7}, "target": "p"}, "answer": {"steps": [["c", "v + 8", "v + 19"], ["v", "i + 11", "i + 30"], ["i", "y + 6", "y + 36"], ["y", "x + 11", "x + 47"], ["x", "l + 19", "l + 66"], ["l", 7, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"l": 7}, "is_reverse": true}} | 21,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 11; e = g + 15; a = t + 3; c = v + 8; x = l + 19; y = x + 11; n = a + 10; g = l + 2; f = e + 19; i = y + 6; t = f + 20; l = 7; p = c + 11. If l = 7, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 8 to p, which gives p = v + 19.\n2. Substitute v = i + 11 to p, which gives p = i + 30.\n3. Substitute i = y + 6 to p, which gives p = y + 36.\n4. Substitute y = x + 11 to p, which gives p = x + 47.\n5. Substitute x = l + 19 to p, which gives p = l + 66.\n6. Substitute l = 7 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 21456,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 11; e = g + 15; a = t + 3; c = v + 8; x = l + 19; y = x + 11; n = a + 10; g = l + 2; f = e + 19; i = y + 6; t = f + 20; l = 7; p = c + 11. If l = 7, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 11", "i": "k + 12", "q": "i + 14", "h": "q + 18", "f": "h + 6", "y": "f + 4", "p": "j + 6", "o": "p + 17", "l": "o + 19", "m": "l + 17", "r": "m + 8", "v": "r + 9", "j": 11}, "premises": {"j": 11}, "target": "y"}, "answer": {"steps": [["f", "h + 6", "h + 10"], ["h", "q + 18", "q + 28"], ["q", "i + 14", "i + 42"], ["i", "k + 12", "k + 54"], ["k", "j + 11", "j + 65"], ["j", 11, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"j": 11}, "is_reverse": true}} | 21,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 6; o = p + 17; y = f + 4; k = j + 11; r = m + 8; j = 11; i = k + 12; m = l + 17; h = q + 18; l = o + 19; v = r + 9; f = h + 6; q = i + 14. If j = 11, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 6 to y, which gives y = h + 10.\n2. Substitute h = q + 18 to y, which gives y = q + 28.\n3. Substitute q = i + 14 to y, which gives y = i + 42.\n4. Substitute i = k + 12 to y, which gives y = k + 54.\n5. Substitute k = j + 11 to y, which gives y = j + 65.\n6. Substitute j = 11 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 21457,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 6; o = p + 17; y = f + 4; k = j + 11; r = m + 8; j = 11; i = k + 12; m = l + 17; h = q + 18; l = o + 19; v = r + 9; f = h + 6; q = i + 14. If j = 11, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 6", "e": "i + 7", "d": "e + 4", "o": "d + 7", "r": "o + 10", "s": "r + 1", "m": "n + 12", "t": "m + 18", "v": "t + 13", "z": "v + 15", "a": "z + 2", "q": "a + 4", "n": 14}, "premises": {"n": 14}, "target": "s"}, "answer": {"steps": [["r", "o + 10", "o + 11"], ["o", "d + 7", "d + 18"], ["d", "e + 4", "e + 22"], ["e", "i + 7", "i + 29"], ["i", "n + 6", "n + 35"], ["n", 14, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"n": 14}, "is_reverse": true}} | 21,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 10; d = e + 4; a = z + 2; n = 14; v = t + 13; o = d + 7; s = r + 1; m = n + 12; q = a + 4; t = m + 18; z = v + 15; e = i + 7; i = n + 6. Given that n = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 10 to s, which gives s = o + 11.\n2. Substitute o = d + 7 to s, which gives s = d + 18.\n3. Substitute d = e + 4 to s, which gives s = e + 22.\n4. Substitute e = i + 7 to s, which gives s = i + 29.\n5. Substitute i = n + 6 to s, which gives s = n + 35.\n6. Substitute n = 14 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 21458,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 10; d = e + 4; a = z + 2; n = 14; v = t + 13; o = d + 7; s = r + 1; m = n + 12; q = a + 4; t = m + 18; z = v + 15; e = i + 7; i = n + 6. Given that n = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 3", "x": "r + 14", "j": "x + 13", "e": "j + 3", "l": "e + 7", "v": "l + 3", "g": "u + 7", "k": "g + 14", "z": "k + 10", "a": "z + 5", "i": "a + 4", "f": "i + 13", "u": 19}, "premises": {"u": 19}, "target": "v"}, "answer": {"steps": [["l", "e + 7", "e + 10"], ["e", "j + 3", "j + 13"], ["j", "x + 13", "x + 26"], ["x", "r + 14", "r + 40"], ["r", "u + 3", "u + 43"], ["u", 19, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"u": 19}, "is_reverse": true}} | 21,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = e + 7; z = k + 10; f = i + 13; j = x + 13; e = j + 3; r = u + 3; a = z + 5; g = u + 7; v = l + 3; k = g + 14; u = 19; x = r + 14; i = a + 4. If u = 19, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 7 to v, which gives v = e + 10.\n2. Substitute e = j + 3 to v, which gives v = j + 13.\n3. Substitute j = x + 13 to v, which gives v = x + 26.\n4. Substitute x = r + 14 to v, which gives v = r + 40.\n5. Substitute r = u + 3 to v, which gives v = u + 43.\n6. Substitute u = 19 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 21459,
"question": "Consider a system of variables where each variable is defined as follows: l = e + 7; z = k + 10; f = i + 13; j = x + 13; e = j + 3; r = u + 3; a = z + 5; g = u + 7; v = l + 3; k = g + 14; u = 19; x = r + 14; i = a + 4. If u = 19, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 4", "b": "n + 5", "l": "b + 11", "y": "l + 18", "k": "y + 4", "g": "k + 4", "q": "z + 5", "u": "q + 15", "f": "u + 11", "x": "f + 1", "w": "x + 11", "r": "w + 4", "z": 15}, "premises": {"z": 15}, "target": "g"}, "answer": {"steps": [["k", "y + 4", "y + 8"], ["y", "l + 18", "l + 26"], ["l", "b + 11", "b + 37"], ["b", "n + 5", "n + 42"], ["n", "z + 4", "z + 46"], ["z", 15, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"z": 15}, "is_reverse": true}} | 21,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 1; w = x + 11; z = 15; n = z + 4; g = k + 4; b = n + 5; l = b + 11; r = w + 4; k = y + 4; f = u + 11; y = l + 18; q = z + 5; u = q + 15. Given that z = 15, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 4 to g, which gives g = y + 8.\n2. Substitute y = l + 18 to g, which gives g = l + 26.\n3. Substitute l = b + 11 to g, which gives g = b + 37.\n4. Substitute b = n + 5 to g, which gives g = n + 42.\n5. Substitute n = z + 4 to g, which gives g = z + 46.\n6. Substitute z = 15 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 21460,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 1; w = x + 11; z = 15; n = z + 4; g = k + 4; b = n + 5; l = b + 11; r = w + 4; k = y + 4; f = u + 11; y = l + 18; q = z + 5; u = q + 15. Given that z = 15, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 4", "f": "g + 12", "q": "f + 7", "p": "q + 3", "j": "p + 10", "e": "j + 7", "s": "c + 15", "z": "s + 20", "l": "z + 17", "y": "l + 16", "i": "y + 5", "r": "i + 8", "c": 7}, "premises": {"c": 7}, "target": "e"}, "answer": {"steps": [["j", "p + 10", "p + 17"], ["p", "q + 3", "q + 20"], ["q", "f + 7", "f + 27"], ["f", "g + 12", "g + 39"], ["g", "c + 4", "c + 43"], ["c", 7, "50"]], "target_var_name": "e", "target_value": 50, "value_dict": {"c": 7}, "is_reverse": true}} | 21,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 3; z = s + 20; s = c + 15; e = j + 7; c = 7; q = f + 7; y = l + 16; g = c + 4; r = i + 8; j = p + 10; l = z + 17; i = y + 5; f = g + 12. If c = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 10 to e, which gives e = p + 17.\n2. Substitute p = q + 3 to e, which gives e = q + 20.\n3. Substitute q = f + 7 to e, which gives e = f + 27.\n4. Substitute f = g + 12 to e, which gives e = g + 39.\n5. Substitute g = c + 4 to e, which gives e = c + 43.\n6. Substitute c = 7 to e, which gives e = 50.\n\nThus, the final answer is e = \\boxed{50}.",
"index": 21461,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 3; z = s + 20; s = c + 15; e = j + 7; c = 7; q = f + 7; y = l + 16; g = c + 4; r = i + 8; j = p + 10; l = z + 17; i = y + 5; f = g + 12. If c = 7, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 19", "w": "p + 9", "d": "w + 13", "s": "d + 20", "m": "s + 5", "k": "m + 13", "j": "x + 3", "z": "j + 16", "q": "z + 18", "h": "q + 20", "b": "h + 2", "y": "b + 19", "x": 7}, "premises": {"x": 7}, "target": "k"}, "answer": {"steps": [["m", "s + 5", "s + 18"], ["s", "d + 20", "d + 38"], ["d", "w + 13", "w + 51"], ["w", "p + 9", "p + 60"], ["p", "x + 19", "x + 79"], ["x", 7, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"x": 7}, "is_reverse": true}} | 21,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 3; x = 7; s = d + 20; w = p + 9; q = z + 18; d = w + 13; z = j + 16; h = q + 20; y = b + 19; k = m + 13; m = s + 5; b = h + 2; p = x + 19. Given that x = 7, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 5 to k, which gives k = s + 18.\n2. Substitute s = d + 20 to k, which gives k = d + 38.\n3. Substitute d = w + 13 to k, which gives k = w + 51.\n4. Substitute w = p + 9 to k, which gives k = p + 60.\n5. Substitute p = x + 19 to k, which gives k = x + 79.\n6. Substitute x = 7 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 21462,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 3; x = 7; s = d + 20; w = p + 9; q = z + 18; d = w + 13; z = j + 16; h = q + 20; y = b + 19; k = m + 13; m = s + 5; b = h + 2; p = x + 19. Given that x = 7, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 18", "b": "h + 3", "f": "b + 4", "x": "f + 15", "c": "x + 7", "q": "c + 5", "s": "v + 15", "u": "s + 11", "r": "u + 9", "z": "r + 3", "g": "z + 9", "e": "g + 12", "v": 2}, "premises": {"v": 2}, "target": "q"}, "answer": {"steps": [["c", "x + 7", "x + 12"], ["x", "f + 15", "f + 27"], ["f", "b + 4", "b + 31"], ["b", "h + 3", "h + 34"], ["h", "v + 18", "v + 52"], ["v", 2, "54"]], "target_var_name": "q", "target_value": 54, "value_dict": {"v": 2}, "is_reverse": true}} | 21,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 15; r = u + 9; e = g + 12; u = s + 11; h = v + 18; b = h + 3; q = c + 5; f = b + 4; z = r + 3; g = z + 9; c = x + 7; v = 2; s = v + 15. If v = 2, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 7 to q, which gives q = x + 12.\n2. Substitute x = f + 15 to q, which gives q = f + 27.\n3. Substitute f = b + 4 to q, which gives q = b + 31.\n4. Substitute b = h + 3 to q, which gives q = h + 34.\n5. Substitute h = v + 18 to q, which gives q = v + 52.\n6. Substitute v = 2 to q, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 21463,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 15; r = u + 9; e = g + 12; u = s + 11; h = v + 18; b = h + 3; q = c + 5; f = b + 4; z = r + 3; g = z + 9; c = x + 7; v = 2; s = v + 15. If v = 2, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 2", "j": "l + 18", "f": "j + 13", "d": "f + 15", "k": "d + 6", "q": "k + 18", "u": "y + 14", "c": "u + 20", "t": "c + 8", "r": "t + 6", "i": "r + 18", "e": "i + 3", "y": 16}, "premises": {"y": 16}, "target": "q"}, "answer": {"steps": [["k", "d + 6", "d + 24"], ["d", "f + 15", "f + 39"], ["f", "j + 13", "j + 52"], ["j", "l + 18", "l + 70"], ["l", "y + 2", "y + 72"], ["y", 16, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"y": 16}, "is_reverse": true}} | 21,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 18; t = c + 8; r = t + 6; k = d + 6; c = u + 20; j = l + 18; q = k + 18; l = y + 2; d = f + 15; f = j + 13; y = 16; e = i + 3; u = y + 14. If y = 16, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 6 to q, which gives q = d + 24.\n2. Substitute d = f + 15 to q, which gives q = f + 39.\n3. Substitute f = j + 13 to q, which gives q = j + 52.\n4. Substitute j = l + 18 to q, which gives q = l + 70.\n5. Substitute l = y + 2 to q, which gives q = y + 72.\n6. Substitute y = 16 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 21464,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 18; t = c + 8; r = t + 6; k = d + 6; c = u + 20; j = l + 18; q = k + 18; l = y + 2; d = f + 15; f = j + 13; y = 16; e = i + 3; u = y + 14. If y = 16, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 18", "o": "e + 17", "j": "o + 3", "a": "j + 13", "s": "a + 16", "z": "s + 11", "x": "r + 9", "f": "x + 9", "h": "f + 9", "u": "h + 1", "q": "u + 3", "d": "q + 15", "r": 16}, "premises": {"r": 16}, "target": "z"}, "answer": {"steps": [["s", "a + 16", "a + 27"], ["a", "j + 13", "j + 40"], ["j", "o + 3", "o + 43"], ["o", "e + 17", "e + 60"], ["e", "r + 18", "r + 78"], ["r", 16, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"r": 16}, "is_reverse": true}} | 21,465 | 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 + 9; s = a + 16; u = h + 1; x = r + 9; h = f + 9; o = e + 17; q = u + 3; z = s + 11; d = q + 15; a = j + 13; r = 16; e = r + 18; j = o + 3. If r = 16, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 16 to z, which gives z = a + 27.\n2. Substitute a = j + 13 to z, which gives z = j + 40.\n3. Substitute j = o + 3 to z, which gives z = o + 43.\n4. Substitute o = e + 17 to z, which gives z = e + 60.\n5. Substitute e = r + 18 to z, which gives z = r + 78.\n6. Substitute r = 16 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 21465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 9; s = a + 16; u = h + 1; x = r + 9; h = f + 9; o = e + 17; q = u + 3; z = s + 11; d = q + 15; a = j + 13; r = 16; e = r + 18; j = o + 3. If r = 16, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 8", "j": "m + 1", "w": "j + 16", "g": "w + 14", "l": "g + 3", "t": "l + 1", "o": "p + 3", "s": "o + 4", "e": "s + 6", "h": "e + 17", "b": "h + 3", "d": "b + 8", "p": 8}, "premises": {"p": 8}, "target": "t"}, "answer": {"steps": [["l", "g + 3", "g + 4"], ["g", "w + 14", "w + 18"], ["w", "j + 16", "j + 34"], ["j", "m + 1", "m + 35"], ["m", "p + 8", "p + 43"], ["p", 8, "51"]], "target_var_name": "t", "target_value": 51, "value_dict": {"p": 8}, "is_reverse": true}} | 21,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 1; e = s + 6; b = h + 3; d = b + 8; w = j + 16; h = e + 17; m = p + 8; s = o + 4; l = g + 3; g = w + 14; p = 8; j = m + 1; o = p + 3. If p = 8, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 3 to t, which gives t = g + 4.\n2. Substitute g = w + 14 to t, which gives t = w + 18.\n3. Substitute w = j + 16 to t, which gives t = j + 34.\n4. Substitute j = m + 1 to t, which gives t = m + 35.\n5. Substitute m = p + 8 to t, which gives t = p + 43.\n6. Substitute p = 8 to t, which gives t = 51.\n\nThus, the final answer is t = \\boxed{51}.",
"index": 21466,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 1; e = s + 6; b = h + 3; d = b + 8; w = j + 16; h = e + 17; m = p + 8; s = o + 4; l = g + 3; g = w + 14; p = 8; j = m + 1; o = p + 3. If p = 8, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 2", "d": "m + 2", "z": "d + 2", "x": "z + 10", "y": "x + 20", "c": "y + 8", "i": "u + 12", "h": "i + 3", "k": "h + 13", "j": "k + 18", "p": "j + 4", "g": "p + 14", "u": 3}, "premises": {"u": 3}, "target": "c"}, "answer": {"steps": [["y", "x + 20", "x + 28"], ["x", "z + 10", "z + 38"], ["z", "d + 2", "d + 40"], ["d", "m + 2", "m + 42"], ["m", "u + 2", "u + 44"], ["u", 3, "47"]], "target_var_name": "c", "target_value": 47, "value_dict": {"u": 3}, "is_reverse": true}} | 21,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 2; p = j + 4; h = i + 3; y = x + 20; m = u + 2; i = u + 12; c = y + 8; k = h + 13; j = k + 18; u = 3; x = z + 10; g = p + 14; z = d + 2. Given that u = 3, find the 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 y = x + 20 to c, which gives c = x + 28.\n2. Substitute x = z + 10 to c, which gives c = z + 38.\n3. Substitute z = d + 2 to c, which gives c = d + 40.\n4. Substitute d = m + 2 to c, which gives c = m + 42.\n5. Substitute m = u + 2 to c, which gives c = u + 44.\n6. Substitute u = 3 to c, which gives c = 47.\n\nThus, the final answer is c = \\boxed{47}.",
"index": 21467,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 2; p = j + 4; h = i + 3; y = x + 20; m = u + 2; i = u + 12; c = y + 8; k = h + 13; j = k + 18; u = 3; x = z + 10; g = p + 14; z = d + 2. Given that u = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 14", "t": "u + 1", "n": "t + 11", "l": "n + 9", "h": "l + 18", "z": "h + 14", "v": "m + 5", "q": "v + 19", "j": "q + 19", "e": "j + 18", "s": "e + 16", "k": "s + 8", "m": 8}, "premises": {"m": 8}, "target": "z"}, "answer": {"steps": [["h", "l + 18", "l + 32"], ["l", "n + 9", "n + 41"], ["n", "t + 11", "t + 52"], ["t", "u + 1", "u + 53"], ["u", "m + 14", "m + 67"], ["m", 8, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"m": 8}, "is_reverse": true}} | 21,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 19; m = 8; h = l + 18; s = e + 16; n = t + 11; l = n + 9; k = s + 8; t = u + 1; j = q + 19; e = j + 18; z = h + 14; u = m + 14; v = m + 5. Given that m = 8, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 18 to z, which gives z = l + 32.\n2. Substitute l = n + 9 to z, which gives z = n + 41.\n3. Substitute n = t + 11 to z, which gives z = t + 52.\n4. Substitute t = u + 1 to z, which gives z = u + 53.\n5. Substitute u = m + 14 to z, which gives z = m + 67.\n6. Substitute m = 8 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 21468,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 19; m = 8; h = l + 18; s = e + 16; n = t + 11; l = n + 9; k = s + 8; t = u + 1; j = q + 19; e = j + 18; z = h + 14; u = m + 14; v = m + 5. Given that m = 8, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 5", "p": "u + 15", "y": "p + 19", "l": "y + 14", "f": "l + 8", "a": "f + 10", "r": "j + 19", "e": "r + 18", "i": "e + 14", "m": "i + 13", "v": "m + 2", "d": "v + 5", "j": 9}, "premises": {"j": 9}, "target": "a"}, "answer": {"steps": [["f", "l + 8", "l + 18"], ["l", "y + 14", "y + 32"], ["y", "p + 19", "p + 51"], ["p", "u + 15", "u + 66"], ["u", "j + 5", "j + 71"], ["j", 9, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"j": 9}, "is_reverse": true}} | 21,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 15; y = p + 19; e = r + 18; r = j + 19; v = m + 2; j = 9; a = f + 10; m = i + 13; u = j + 5; d = v + 5; i = e + 14; l = y + 14; f = l + 8. Given that j = 9, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 8 to a, which gives a = l + 18.\n2. Substitute l = y + 14 to a, which gives a = y + 32.\n3. Substitute y = p + 19 to a, which gives a = p + 51.\n4. Substitute p = u + 15 to a, which gives a = u + 66.\n5. Substitute u = j + 5 to a, which gives a = j + 71.\n6. Substitute j = 9 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 21469,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 15; y = p + 19; e = r + 18; r = j + 19; v = m + 2; j = 9; a = f + 10; m = i + 13; u = j + 5; d = v + 5; i = e + 14; l = y + 14; f = l + 8. Given that j = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 18", "g": "r + 3", "o": "g + 10", "l": "o + 10", "w": "l + 10", "a": "w + 17", "y": "h + 14", "s": "y + 19", "f": "s + 16", "m": "f + 8", "k": "m + 6", "z": "k + 11", "h": 14}, "premises": {"h": 14}, "target": "a"}, "answer": {"steps": [["w", "l + 10", "l + 27"], ["l", "o + 10", "o + 37"], ["o", "g + 10", "g + 47"], ["g", "r + 3", "r + 50"], ["r", "h + 18", "h + 68"], ["h", 14, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"h": 14}, "is_reverse": true}} | 21,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 14; s = y + 19; o = g + 10; w = l + 10; r = h + 18; f = s + 16; l = o + 10; k = m + 6; g = r + 3; m = f + 8; z = k + 11; a = w + 17; h = 14. Given that h = 14, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 10 to a, which gives a = l + 27.\n2. Substitute l = o + 10 to a, which gives a = o + 37.\n3. Substitute o = g + 10 to a, which gives a = g + 47.\n4. Substitute g = r + 3 to a, which gives a = r + 50.\n5. Substitute r = h + 18 to a, which gives a = h + 68.\n6. Substitute h = 14 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 21470,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 14; s = y + 19; o = g + 10; w = l + 10; r = h + 18; f = s + 16; l = o + 10; k = m + 6; g = r + 3; m = f + 8; z = k + 11; a = w + 17; h = 14. Given that h = 14, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 14", "n": "d + 19", "m": "n + 18", "r": "m + 7", "v": "r + 12", "q": "v + 20", "u": "p + 14", "k": "u + 16", "g": "k + 5", "y": "g + 16", "o": "y + 17", "j": "o + 1", "p": 1}, "premises": {"p": 1}, "target": "q"}, "answer": {"steps": [["v", "r + 12", "r + 32"], ["r", "m + 7", "m + 39"], ["m", "n + 18", "n + 57"], ["n", "d + 19", "d + 76"], ["d", "p + 14", "p + 90"], ["p", 1, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"p": 1}, "is_reverse": true}} | 21,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 14; j = o + 1; o = y + 17; p = 1; m = n + 18; n = d + 19; g = k + 5; y = g + 16; r = m + 7; k = u + 16; q = v + 20; d = p + 14; v = r + 12. Given that p = 1, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 12 to q, which gives q = r + 32.\n2. Substitute r = m + 7 to q, which gives q = m + 39.\n3. Substitute m = n + 18 to q, which gives q = n + 57.\n4. Substitute n = d + 19 to q, which gives q = d + 76.\n5. Substitute d = p + 14 to q, which gives q = p + 90.\n6. Substitute p = 1 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 21471,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 14; j = o + 1; o = y + 17; p = 1; m = n + 18; n = d + 19; g = k + 5; y = g + 16; r = m + 7; k = u + 16; q = v + 20; d = p + 14; v = r + 12. Given that p = 1, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 3", "z": "v + 4", "g": "z + 11", "o": "g + 10", "n": "o + 17", "f": "n + 3", "c": "b + 8", "t": "c + 3", "u": "t + 2", "q": "u + 3", "x": "q + 16", "m": "x + 10", "b": 5}, "premises": {"b": 5}, "target": "f"}, "answer": {"steps": [["n", "o + 17", "o + 20"], ["o", "g + 10", "g + 30"], ["g", "z + 11", "z + 41"], ["z", "v + 4", "v + 45"], ["v", "b + 3", "b + 48"], ["b", 5, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"b": 5}, "is_reverse": true}} | 21,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = v + 4; c = b + 8; m = x + 10; t = c + 3; g = z + 11; u = t + 2; q = u + 3; o = g + 10; v = b + 3; n = o + 17; x = q + 16; b = 5; f = n + 3. If b = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 17 to f, which gives f = o + 20.\n2. Substitute o = g + 10 to f, which gives f = g + 30.\n3. Substitute g = z + 11 to f, which gives f = z + 41.\n4. Substitute z = v + 4 to f, which gives f = v + 45.\n5. Substitute v = b + 3 to f, which gives f = b + 48.\n6. Substitute b = 5 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 21472,
"question": "Consider a system of variables where each variable is defined as follows: z = v + 4; c = b + 8; m = x + 10; t = c + 3; g = z + 11; u = t + 2; q = u + 3; o = g + 10; v = b + 3; n = o + 17; x = q + 16; b = 5; f = n + 3. If b = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 10", "v": "e + 2", "x": "v + 13", "j": "x + 17", "g": "j + 17", "b": "g + 13", "q": "s + 5", "r": "q + 7", "k": "r + 14", "o": "k + 17", "y": "o + 2", "c": "y + 10", "s": 10}, "premises": {"s": 10}, "target": "b"}, "answer": {"steps": [["g", "j + 17", "j + 30"], ["j", "x + 17", "x + 47"], ["x", "v + 13", "v + 60"], ["v", "e + 2", "e + 62"], ["e", "s + 10", "s + 72"], ["s", 10, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"s": 10}, "is_reverse": true}} | 21,473 | 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 + 2; g = j + 17; q = s + 5; y = o + 2; b = g + 13; s = 10; o = k + 17; j = x + 17; x = v + 13; r = q + 7; c = y + 10; e = s + 10; k = r + 14. If s = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 17 to b, which gives b = j + 30.\n2. Substitute j = x + 17 to b, which gives b = x + 47.\n3. Substitute x = v + 13 to b, which gives b = v + 60.\n4. Substitute v = e + 2 to b, which gives b = e + 62.\n5. Substitute e = s + 10 to b, which gives b = s + 72.\n6. Substitute s = 10 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 21473,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 2; g = j + 17; q = s + 5; y = o + 2; b = g + 13; s = 10; o = k + 17; j = x + 17; x = v + 13; r = q + 7; c = y + 10; e = s + 10; k = r + 14. If s = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 2", "o": "d + 9", "j": "o + 3", "p": "j + 9", "s": "p + 18", "i": "s + 5", "q": "n + 2", "l": "q + 2", "z": "l + 13", "g": "z + 18", "k": "g + 6", "v": "k + 7", "n": 20}, "premises": {"n": 20}, "target": "i"}, "answer": {"steps": [["s", "p + 18", "p + 23"], ["p", "j + 9", "j + 32"], ["j", "o + 3", "o + 35"], ["o", "d + 9", "d + 44"], ["d", "n + 2", "n + 46"], ["n", 20, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"n": 20}, "is_reverse": true}} | 21,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = p + 18; l = q + 2; p = j + 9; z = l + 13; g = z + 18; d = n + 2; o = d + 9; q = n + 2; v = k + 7; k = g + 6; i = s + 5; j = o + 3; n = 20. Given that n = 20, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 18 to i, which gives i = p + 23.\n2. Substitute p = j + 9 to i, which gives i = j + 32.\n3. Substitute j = o + 3 to i, which gives i = o + 35.\n4. Substitute o = d + 9 to i, which gives i = d + 44.\n5. Substitute d = n + 2 to i, which gives i = n + 46.\n6. Substitute n = 20 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 21474,
"question": "Suppose a collection of variables is related by the following definitions: s = p + 18; l = q + 2; p = j + 9; z = l + 13; g = z + 18; d = n + 2; o = d + 9; q = n + 2; v = k + 7; k = g + 6; i = s + 5; j = o + 3; n = 20. Given that n = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 2", "k": "w + 19", "t": "k + 10", "s": "t + 14", "a": "s + 20", "y": "a + 8", "c": "p + 2", "l": "c + 8", "v": "l + 7", "r": "v + 8", "x": "r + 19", "q": "x + 20", "p": 7}, "premises": {"p": 7}, "target": "y"}, "answer": {"steps": [["a", "s + 20", "s + 28"], ["s", "t + 14", "t + 42"], ["t", "k + 10", "k + 52"], ["k", "w + 19", "w + 71"], ["w", "p + 2", "p + 73"], ["p", 7, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"p": 7}, "is_reverse": true}} | 21,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 19; w = p + 2; k = w + 19; c = p + 2; p = 7; q = x + 20; t = k + 10; v = l + 7; a = s + 20; s = t + 14; r = v + 8; l = c + 8; y = a + 8. If p = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 20 to y, which gives y = s + 28.\n2. Substitute s = t + 14 to y, which gives y = t + 42.\n3. Substitute t = k + 10 to y, which gives y = k + 52.\n4. Substitute k = w + 19 to y, which gives y = w + 71.\n5. Substitute w = p + 2 to y, which gives y = p + 73.\n6. Substitute p = 7 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 21475,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 19; w = p + 2; k = w + 19; c = p + 2; p = 7; q = x + 20; t = k + 10; v = l + 7; a = s + 20; s = t + 14; r = v + 8; l = c + 8; y = a + 8. If p = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 19", "o": "a + 13", "j": "o + 4", "l": "j + 18", "m": "l + 20", "v": "m + 2", "c": "d + 8", "y": "c + 20", "b": "y + 13", "p": "b + 10", "z": "p + 16", "k": "z + 15", "d": 11}, "premises": {"d": 11}, "target": "v"}, "answer": {"steps": [["m", "l + 20", "l + 22"], ["l", "j + 18", "j + 40"], ["j", "o + 4", "o + 44"], ["o", "a + 13", "a + 57"], ["a", "d + 19", "d + 76"], ["d", 11, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"d": 11}, "is_reverse": true}} | 21,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 13; k = z + 15; b = y + 13; v = m + 2; d = 11; c = d + 8; z = p + 16; l = j + 18; a = d + 19; y = c + 20; j = o + 4; m = l + 20; p = b + 10. Given that d = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 20 to v, which gives v = l + 22.\n2. Substitute l = j + 18 to v, which gives v = j + 40.\n3. Substitute j = o + 4 to v, which gives v = o + 44.\n4. Substitute o = a + 13 to v, which gives v = a + 57.\n5. Substitute a = d + 19 to v, which gives v = d + 76.\n6. Substitute d = 11 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 21476,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 13; k = z + 15; b = y + 13; v = m + 2; d = 11; c = d + 8; z = p + 16; l = j + 18; a = d + 19; y = c + 20; j = o + 4; m = l + 20; p = b + 10. Given that d = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 8", "r": "g + 6", "v": "r + 17", "l": "v + 9", "m": "l + 10", "w": "m + 13", "x": "t + 15", "h": "x + 10", "b": "h + 16", "e": "b + 12", "y": "e + 14", "u": "y + 13", "t": 13}, "premises": {"t": 13}, "target": "w"}, "answer": {"steps": [["m", "l + 10", "l + 23"], ["l", "v + 9", "v + 32"], ["v", "r + 17", "r + 49"], ["r", "g + 6", "g + 55"], ["g", "t + 8", "t + 63"], ["t", 13, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"t": 13}, "is_reverse": true}} | 21,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 13; h = x + 10; w = m + 13; t = 13; m = l + 10; y = e + 14; b = h + 16; g = t + 8; x = t + 15; r = g + 6; v = r + 17; l = v + 9; e = b + 12. Given that t = 13, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 10 to w, which gives w = l + 23.\n2. Substitute l = v + 9 to w, which gives w = v + 32.\n3. Substitute v = r + 17 to w, which gives w = r + 49.\n4. Substitute r = g + 6 to w, which gives w = g + 55.\n5. Substitute g = t + 8 to w, which gives w = t + 63.\n6. Substitute t = 13 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 21477,
"question": "Suppose a collection of variables is related by the following definitions: u = y + 13; h = x + 10; w = m + 13; t = 13; m = l + 10; y = e + 14; b = h + 16; g = t + 8; x = t + 15; r = g + 6; v = r + 17; l = v + 9; e = b + 12. Given that t = 13, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 17", "o": "d + 11", "m": "o + 8", "j": "m + 20", "f": "j + 18", "w": "f + 5", "r": "t + 18", "k": "r + 6", "y": "k + 16", "e": "y + 20", "v": "e + 13", "n": "v + 8", "t": 6}, "premises": {"t": 6}, "target": "w"}, "answer": {"steps": [["f", "j + 18", "j + 23"], ["j", "m + 20", "m + 43"], ["m", "o + 8", "o + 51"], ["o", "d + 11", "d + 62"], ["d", "t + 17", "t + 79"], ["t", 6, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"t": 6}, "is_reverse": true}} | 21,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 8; d = t + 17; r = t + 18; v = e + 13; y = k + 16; n = v + 8; w = f + 5; j = m + 20; e = y + 20; k = r + 6; o = d + 11; f = j + 18; t = 6. Given that t = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 18 to w, which gives w = j + 23.\n2. Substitute j = m + 20 to w, which gives w = m + 43.\n3. Substitute m = o + 8 to w, which gives w = o + 51.\n4. Substitute o = d + 11 to w, which gives w = d + 62.\n5. Substitute d = t + 17 to w, which gives w = t + 79.\n6. Substitute t = 6 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 21478,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 8; d = t + 17; r = t + 18; v = e + 13; y = k + 16; n = v + 8; w = f + 5; j = m + 20; e = y + 20; k = r + 6; o = d + 11; f = j + 18; t = 6. Given that t = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 13", "q": "r + 17", "b": "q + 18", "e": "b + 13", "k": "e + 1", "j": "k + 7", "w": "h + 3", "a": "w + 3", "y": "a + 17", "l": "y + 20", "v": "l + 9", "n": "v + 8", "h": 2}, "premises": {"h": 2}, "target": "j"}, "answer": {"steps": [["k", "e + 1", "e + 8"], ["e", "b + 13", "b + 21"], ["b", "q + 18", "q + 39"], ["q", "r + 17", "r + 56"], ["r", "h + 13", "h + 69"], ["h", 2, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"h": 2}, "is_reverse": true}} | 21,479 | 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 = h + 13; w = h + 3; e = b + 13; n = v + 8; k = e + 1; h = 2; a = w + 3; v = l + 9; y = a + 17; j = k + 7; b = q + 18; l = y + 20; q = r + 17. If h = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 1 to j, which gives j = e + 8.\n2. Substitute e = b + 13 to j, which gives j = b + 21.\n3. Substitute b = q + 18 to j, which gives j = q + 39.\n4. Substitute q = r + 17 to j, which gives j = r + 56.\n5. Substitute r = h + 13 to j, which gives j = h + 69.\n6. Substitute h = 2 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 21479,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = h + 13; w = h + 3; e = b + 13; n = v + 8; k = e + 1; h = 2; a = w + 3; v = l + 9; y = a + 17; j = k + 7; b = q + 18; l = y + 20; q = r + 17. If h = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 20", "u": "b + 16", "t": "u + 3", "g": "t + 13", "s": "g + 5", "w": "s + 8", "n": "m + 9", "q": "n + 4", "k": "q + 20", "i": "k + 7", "x": "i + 11", "j": "x + 12", "m": 20}, "premises": {"m": 20}, "target": "w"}, "answer": {"steps": [["s", "g + 5", "g + 13"], ["g", "t + 13", "t + 26"], ["t", "u + 3", "u + 29"], ["u", "b + 16", "b + 45"], ["b", "m + 20", "m + 65"], ["m", 20, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"m": 20}, "is_reverse": true}} | 21,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = i + 11; k = q + 20; b = m + 20; i = k + 7; u = b + 16; w = s + 8; j = x + 12; q = n + 4; t = u + 3; n = m + 9; g = t + 13; m = 20; s = g + 5. If m = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 5 to w, which gives w = g + 13.\n2. Substitute g = t + 13 to w, which gives w = t + 26.\n3. Substitute t = u + 3 to w, which gives w = u + 29.\n4. Substitute u = b + 16 to w, which gives w = b + 45.\n5. Substitute b = m + 20 to w, which gives w = m + 65.\n6. Substitute m = 20 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 21480,
"question": "Consider a system of variables where each variable is defined as follows: x = i + 11; k = q + 20; b = m + 20; i = k + 7; u = b + 16; w = s + 8; j = x + 12; q = n + 4; t = u + 3; n = m + 9; g = t + 13; m = 20; s = g + 5. If m = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 6", "r": "k + 11", "f": "r + 1", "l": "f + 15", "h": "l + 15", "w": "h + 2", "c": "s + 5", "m": "c + 15", "q": "m + 14", "b": "q + 16", "i": "b + 12", "x": "i + 18", "s": 2}, "premises": {"s": 2}, "target": "w"}, "answer": {"steps": [["h", "l + 15", "l + 17"], ["l", "f + 15", "f + 32"], ["f", "r + 1", "r + 33"], ["r", "k + 11", "k + 44"], ["k", "s + 6", "s + 50"], ["s", 2, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"s": 2}, "is_reverse": true}} | 21,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = 2; q = m + 14; m = c + 15; b = q + 16; x = i + 18; f = r + 1; h = l + 15; k = s + 6; r = k + 11; i = b + 12; l = f + 15; c = s + 5; w = h + 2. If s = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 15 to w, which gives w = l + 17.\n2. Substitute l = f + 15 to w, which gives w = f + 32.\n3. Substitute f = r + 1 to w, which gives w = r + 33.\n4. Substitute r = k + 11 to w, which gives w = k + 44.\n5. Substitute k = s + 6 to w, which gives w = s + 50.\n6. Substitute s = 2 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 21481,
"question": "Consider a system of variables where each variable is defined as follows: s = 2; q = m + 14; m = c + 15; b = q + 16; x = i + 18; f = r + 1; h = l + 15; k = s + 6; r = k + 11; i = b + 12; l = f + 15; c = s + 5; w = h + 2. If s = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 12", "z": "l + 14", "v": "z + 14", "s": "v + 9", "t": "s + 16", "i": "t + 7", "a": "f + 8", "u": "a + 7", "r": "u + 1", "j": "r + 13", "n": "j + 5", "d": "n + 17", "f": 12}, "premises": {"f": 12}, "target": "i"}, "answer": {"steps": [["t", "s + 16", "s + 23"], ["s", "v + 9", "v + 32"], ["v", "z + 14", "z + 46"], ["z", "l + 14", "l + 60"], ["l", "f + 12", "f + 72"], ["f", 12, "84"]], "target_var_name": "i", "target_value": 84, "value_dict": {"f": 12}, "is_reverse": true}} | 21,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = u + 1; t = s + 16; n = j + 5; v = z + 14; i = t + 7; d = n + 17; l = f + 12; z = l + 14; j = r + 13; s = v + 9; u = a + 7; f = 12; a = f + 8. If f = 12, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 16 to i, which gives i = s + 23.\n2. Substitute s = v + 9 to i, which gives i = v + 32.\n3. Substitute v = z + 14 to i, which gives i = z + 46.\n4. Substitute z = l + 14 to i, which gives i = l + 60.\n5. Substitute l = f + 12 to i, which gives i = f + 72.\n6. Substitute f = 12 to i, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 21482,
"question": "Consider a system of variables where each variable is defined as follows: r = u + 1; t = s + 16; n = j + 5; v = z + 14; i = t + 7; d = n + 17; l = f + 12; z = l + 14; j = r + 13; s = v + 9; u = a + 7; f = 12; a = f + 8. If f = 12, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 11", "u": "k + 17", "x": "u + 18", "b": "x + 19", "i": "b + 6", "l": "i + 6", "y": "c + 10", "o": "y + 7", "d": "o + 15", "p": "d + 3", "a": "p + 11", "h": "a + 14", "c": 20}, "premises": {"c": 20}, "target": "l"}, "answer": {"steps": [["i", "b + 6", "b + 12"], ["b", "x + 19", "x + 31"], ["x", "u + 18", "u + 49"], ["u", "k + 17", "k + 66"], ["k", "c + 11", "c + 77"], ["c", 20, "97"]], "target_var_name": "l", "target_value": 97, "value_dict": {"c": 20}, "is_reverse": true}} | 21,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 6; b = x + 19; p = d + 3; k = c + 11; x = u + 18; c = 20; y = c + 10; l = i + 6; o = y + 7; u = k + 17; h = a + 14; d = o + 15; a = p + 11. Given that c = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 6 to l, which gives l = b + 12.\n2. Substitute b = x + 19 to l, which gives l = x + 31.\n3. Substitute x = u + 18 to l, which gives l = u + 49.\n4. Substitute u = k + 17 to l, which gives l = k + 66.\n5. Substitute k = c + 11 to l, which gives l = c + 77.\n6. Substitute c = 20 to l, which gives l = 97.\n\nThus, the final answer is l = \\boxed{97}.",
"index": 21483,
"question": "Suppose a collection of variables is related by the following definitions: i = b + 6; b = x + 19; p = d + 3; k = c + 11; x = u + 18; c = 20; y = c + 10; l = i + 6; o = y + 7; u = k + 17; h = a + 14; d = o + 15; a = p + 11. Given that c = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 19", "o": "z + 20", "v": "o + 8", "a": "v + 18", "h": "a + 18", "r": "h + 15", "s": "w + 3", "e": "s + 20", "c": "e + 6", "n": "c + 18", "y": "n + 20", "g": "y + 14", "w": 2}, "premises": {"w": 2}, "target": "r"}, "answer": {"steps": [["h", "a + 18", "a + 33"], ["a", "v + 18", "v + 51"], ["v", "o + 8", "o + 59"], ["o", "z + 20", "z + 79"], ["z", "w + 19", "w + 98"], ["w", 2, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"w": 2}, "is_reverse": true}} | 21,484 | 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 = z + 20; g = y + 14; v = o + 8; n = c + 18; c = e + 6; w = 2; s = w + 3; e = s + 20; h = a + 18; y = n + 20; r = h + 15; z = w + 19; a = v + 18. If w = 2, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 18 to r, which gives r = a + 33.\n2. Substitute a = v + 18 to r, which gives r = v + 51.\n3. Substitute v = o + 8 to r, which gives r = o + 59.\n4. Substitute o = z + 20 to r, which gives r = z + 79.\n5. Substitute z = w + 19 to r, which gives r = w + 98.\n6. Substitute w = 2 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 21484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 20; g = y + 14; v = o + 8; n = c + 18; c = e + 6; w = 2; s = w + 3; e = s + 20; h = a + 18; y = n + 20; r = h + 15; z = w + 19; a = v + 18. If w = 2, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 14", "y": "z + 3", "e": "y + 6", "c": "e + 17", "w": "c + 11", "i": "w + 12", "h": "q + 2", "x": "h + 8", "m": "x + 11", "k": "m + 5", "g": "k + 16", "n": "g + 17", "q": 9}, "premises": {"q": 9}, "target": "i"}, "answer": {"steps": [["w", "c + 11", "c + 23"], ["c", "e + 17", "e + 40"], ["e", "y + 6", "y + 46"], ["y", "z + 3", "z + 49"], ["z", "q + 14", "q + 63"], ["q", 9, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"q": 9}, "is_reverse": true}} | 21,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 2; e = y + 6; g = k + 16; m = x + 11; x = h + 8; z = q + 14; c = e + 17; w = c + 11; q = 9; i = w + 12; k = m + 5; n = g + 17; y = z + 3. If q = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 11 to i, which gives i = c + 23.\n2. Substitute c = e + 17 to i, which gives i = e + 40.\n3. Substitute e = y + 6 to i, which gives i = y + 46.\n4. Substitute y = z + 3 to i, which gives i = z + 49.\n5. Substitute z = q + 14 to i, which gives i = q + 63.\n6. Substitute q = 9 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 21485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 2; e = y + 6; g = k + 16; m = x + 11; x = h + 8; z = q + 14; c = e + 17; w = c + 11; q = 9; i = w + 12; k = m + 5; n = g + 17; y = z + 3. If q = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "a + 5", "o": "g + 2", "r": "o + 10", "q": "r + 11", "d": "q + 19", "e": "d + 9", "y": "a + 13", "c": "y + 13", "z": "c + 8", "l": "z + 9", "j": "l + 18", "u": "j + 16", "a": 6}, "premises": {"a": 6}, "target": "e"}, "answer": {"steps": [["d", "q + 19", "q + 28"], ["q", "r + 11", "r + 39"], ["r", "o + 10", "o + 49"], ["o", "g + 2", "g + 51"], ["g", "a + 5", "a + 56"], ["a", 6, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"a": 6}, "is_reverse": true}} | 21,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = 6; u = j + 16; o = g + 2; q = r + 11; c = y + 13; y = a + 13; d = q + 19; r = o + 10; z = c + 8; l = z + 9; g = a + 5; j = l + 18; e = d + 9. Given that a = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 19 to e, which gives e = q + 28.\n2. Substitute q = r + 11 to e, which gives e = r + 39.\n3. Substitute r = o + 10 to e, which gives e = o + 49.\n4. Substitute o = g + 2 to e, which gives e = g + 51.\n5. Substitute g = a + 5 to e, which gives e = a + 56.\n6. Substitute a = 6 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 21486,
"question": "Suppose a collection of variables is related by the following definitions: a = 6; u = j + 16; o = g + 2; q = r + 11; c = y + 13; y = a + 13; d = q + 19; r = o + 10; z = c + 8; l = z + 9; g = a + 5; j = l + 18; e = d + 9. Given that a = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 8", "b": "r + 9", "n": "b + 14", "d": "n + 9", "w": "d + 16", "k": "w + 16", "q": "x + 9", "a": "q + 20", "t": "a + 18", "j": "t + 4", "m": "j + 18", "l": "m + 16", "x": 11}, "premises": {"x": 11}, "target": "k"}, "answer": {"steps": [["w", "d + 16", "d + 32"], ["d", "n + 9", "n + 41"], ["n", "b + 14", "b + 55"], ["b", "r + 9", "r + 64"], ["r", "x + 8", "x + 72"], ["x", 11, "83"]], "target_var_name": "k", "target_value": 83, "value_dict": {"x": 11}, "is_reverse": true}} | 21,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = r + 9; d = n + 9; a = q + 20; q = x + 9; t = a + 18; r = x + 8; m = j + 18; j = t + 4; k = w + 16; w = d + 16; n = b + 14; x = 11; l = m + 16. If x = 11, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 16 to k, which gives k = d + 32.\n2. Substitute d = n + 9 to k, which gives k = n + 41.\n3. Substitute n = b + 14 to k, which gives k = b + 55.\n4. Substitute b = r + 9 to k, which gives k = r + 64.\n5. Substitute r = x + 8 to k, which gives k = x + 72.\n6. Substitute x = 11 to k, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 21487,
"question": "Consider a system of variables where each variable is defined as follows: b = r + 9; d = n + 9; a = q + 20; q = x + 9; t = a + 18; r = x + 8; m = j + 18; j = t + 4; k = w + 16; w = d + 16; n = b + 14; x = 11; l = m + 16. If x = 11, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 14", "r": "s + 6", "n": "r + 13", "t": "n + 8", "e": "t + 4", "q": "e + 5", "l": "o + 8", "f": "l + 9", "p": "f + 19", "b": "p + 15", "z": "b + 6", "c": "z + 14", "o": 1}, "premises": {"o": 1}, "target": "q"}, "answer": {"steps": [["e", "t + 4", "t + 9"], ["t", "n + 8", "n + 17"], ["n", "r + 13", "r + 30"], ["r", "s + 6", "s + 36"], ["s", "o + 14", "o + 50"], ["o", 1, "51"]], "target_var_name": "q", "target_value": 51, "value_dict": {"o": 1}, "is_reverse": true}} | 21,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = p + 15; q = e + 5; r = s + 6; o = 1; e = t + 4; f = l + 9; c = z + 14; l = o + 8; p = f + 19; s = o + 14; z = b + 6; n = r + 13; t = n + 8. Given that o = 1, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 4 to q, which gives q = t + 9.\n2. Substitute t = n + 8 to q, which gives q = n + 17.\n3. Substitute n = r + 13 to q, which gives q = r + 30.\n4. Substitute r = s + 6 to q, which gives q = s + 36.\n5. Substitute s = o + 14 to q, which gives q = o + 50.\n6. Substitute o = 1 to q, which gives q = 51.\n\nThus, the final answer is q = \\boxed{51}.",
"index": 21488,
"question": "Suppose a collection of variables is related by the following definitions: b = p + 15; q = e + 5; r = s + 6; o = 1; e = t + 4; f = l + 9; c = z + 14; l = o + 8; p = f + 19; s = o + 14; z = b + 6; n = r + 13; t = n + 8. Given that o = 1, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "j + 17", "w": "o + 3", "q": "w + 1", "c": "q + 7", "t": "c + 13", "l": "t + 7", "y": "j + 15", "k": "y + 16", "r": "k + 19", "v": "r + 17", "x": "v + 20", "g": "x + 3", "j": 8}, "premises": {"j": 8}, "target": "l"}, "answer": {"steps": [["t", "c + 13", "c + 20"], ["c", "q + 7", "q + 27"], ["q", "w + 1", "w + 28"], ["w", "o + 3", "o + 31"], ["o", "j + 17", "j + 48"], ["j", 8, "56"]], "target_var_name": "l", "target_value": 56, "value_dict": {"j": 8}, "is_reverse": true}} | 21,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 7; v = r + 17; o = j + 17; w = o + 3; c = q + 7; t = c + 13; y = j + 15; j = 8; x = v + 20; g = x + 3; q = w + 1; r = k + 19; k = y + 16. If j = 8, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 13 to l, which gives l = c + 20.\n2. Substitute c = q + 7 to l, which gives l = q + 27.\n3. Substitute q = w + 1 to l, which gives l = w + 28.\n4. Substitute w = o + 3 to l, which gives l = o + 31.\n5. Substitute o = j + 17 to l, which gives l = j + 48.\n6. Substitute j = 8 to l, which gives l = 56.\n\nThus, the final answer is l = \\boxed{56}.",
"index": 21489,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 7; v = r + 17; o = j + 17; w = o + 3; c = q + 7; t = c + 13; y = j + 15; j = 8; x = v + 20; g = x + 3; q = w + 1; r = k + 19; k = y + 16. If j = 8, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 14", "h": "v + 8", "b": "h + 19", "x": "b + 8", "y": "x + 4", "i": "y + 7", "s": "g + 9", "m": "s + 20", "c": "m + 11", "n": "c + 9", "d": "n + 7", "f": "d + 5", "g": 13}, "premises": {"g": 13}, "target": "i"}, "answer": {"steps": [["y", "x + 4", "x + 11"], ["x", "b + 8", "b + 19"], ["b", "h + 19", "h + 38"], ["h", "v + 8", "v + 46"], ["v", "g + 14", "g + 60"], ["g", 13, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"g": 13}, "is_reverse": true}} | 21,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = y + 7; c = m + 11; x = b + 8; s = g + 9; v = g + 14; h = v + 8; g = 13; f = d + 5; d = n + 7; b = h + 19; m = s + 20; n = c + 9; y = x + 4. Given that g = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 4 to i, which gives i = x + 11.\n2. Substitute x = b + 8 to i, which gives i = b + 19.\n3. Substitute b = h + 19 to i, which gives i = h + 38.\n4. Substitute h = v + 8 to i, which gives i = v + 46.\n5. Substitute v = g + 14 to i, which gives i = g + 60.\n6. Substitute g = 13 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 21490,
"question": "Suppose a collection of variables is related by the following definitions: i = y + 7; c = m + 11; x = b + 8; s = g + 9; v = g + 14; h = v + 8; g = 13; f = d + 5; d = n + 7; b = h + 19; m = s + 20; n = c + 9; y = x + 4. Given that g = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 14", "d": "h + 6", "f": "d + 2", "u": "f + 2", "o": "u + 17", "m": "o + 16", "k": "t + 3", "e": "k + 19", "y": "e + 2", "x": "y + 5", "r": "x + 13", "l": "r + 1", "t": 12}, "premises": {"t": 12}, "target": "m"}, "answer": {"steps": [["o", "u + 17", "u + 33"], ["u", "f + 2", "f + 35"], ["f", "d + 2", "d + 37"], ["d", "h + 6", "h + 43"], ["h", "t + 14", "t + 57"], ["t", 12, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"t": 12}, "is_reverse": true}} | 21,491 | 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 = x + 13; y = e + 2; e = k + 19; f = d + 2; x = y + 5; t = 12; h = t + 14; m = o + 16; u = f + 2; l = r + 1; d = h + 6; k = t + 3; o = u + 17. If t = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 17 to m, which gives m = u + 33.\n2. Substitute u = f + 2 to m, which gives m = f + 35.\n3. Substitute f = d + 2 to m, which gives m = d + 37.\n4. Substitute d = h + 6 to m, which gives m = h + 43.\n5. Substitute h = t + 14 to m, which gives m = t + 57.\n6. Substitute t = 12 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 21491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = x + 13; y = e + 2; e = k + 19; f = d + 2; x = y + 5; t = 12; h = t + 14; m = o + 16; u = f + 2; l = r + 1; d = h + 6; k = t + 3; o = u + 17. If t = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 17", "f": "q + 19", "t": "f + 4", "n": "t + 9", "e": "n + 12", "r": "e + 19", "z": "o + 11", "g": "z + 12", "j": "g + 18", "m": "j + 15", "b": "m + 12", "k": "b + 18", "o": 20}, "premises": {"o": 20}, "target": "r"}, "answer": {"steps": [["e", "n + 12", "n + 31"], ["n", "t + 9", "t + 40"], ["t", "f + 4", "f + 44"], ["f", "q + 19", "q + 63"], ["q", "o + 17", "o + 80"], ["o", 20, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"o": 20}, "is_reverse": true}} | 21,492 | 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 = o + 17; b = m + 12; m = j + 15; f = q + 19; o = 20; k = b + 18; n = t + 9; e = n + 12; r = e + 19; j = g + 18; z = o + 11; t = f + 4; g = z + 12. If o = 20, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 12 to r, which gives r = n + 31.\n2. Substitute n = t + 9 to r, which gives r = t + 40.\n3. Substitute t = f + 4 to r, which gives r = f + 44.\n4. Substitute f = q + 19 to r, which gives r = q + 63.\n5. Substitute q = o + 17 to r, which gives r = o + 80.\n6. Substitute o = 20 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 21492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = o + 17; b = m + 12; m = j + 15; f = q + 19; o = 20; k = b + 18; n = t + 9; e = n + 12; r = e + 19; j = g + 18; z = o + 11; t = f + 4; g = z + 12. If o = 20, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"z": "p + 4", "x": "z + 6", "g": "x + 14", "d": "g + 12", "i": "d + 18", "q": "i + 17", "k": "p + 18", "j": "k + 15", "f": "j + 2", "y": "f + 6", "t": "y + 19", "v": "t + 12", "p": 7}, "premises": {"p": 7}, "target": "q"}, "answer": {"steps": [["i", "d + 18", "d + 35"], ["d", "g + 12", "g + 47"], ["g", "x + 14", "x + 61"], ["x", "z + 6", "z + 67"], ["z", "p + 4", "p + 71"], ["p", 7, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"p": 7}, "is_reverse": true}} | 21,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; j = k + 15; d = g + 12; f = j + 2; t = y + 19; x = z + 6; g = x + 14; v = t + 12; y = f + 6; i = d + 18; k = p + 18; p = 7; z = p + 4. If p = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 18 to q, which gives q = d + 35.\n2. Substitute d = g + 12 to q, which gives q = g + 47.\n3. Substitute g = x + 14 to q, which gives q = x + 61.\n4. Substitute x = z + 6 to q, which gives q = z + 67.\n5. Substitute z = p + 4 to q, which gives q = p + 71.\n6. Substitute p = 7 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 21493,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; j = k + 15; d = g + 12; f = j + 2; t = y + 19; x = z + 6; g = x + 14; v = t + 12; y = f + 6; i = d + 18; k = p + 18; p = 7; z = p + 4. If p = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 10", "n": "l + 12", "k": "n + 13", "z": "k + 11", "t": "z + 5", "p": "t + 13", "j": "e + 13", "y": "j + 10", "s": "y + 17", "q": "s + 7", "i": "q + 2", "d": "i + 5", "e": 10}, "premises": {"e": 10}, "target": "p"}, "answer": {"steps": [["t", "z + 5", "z + 18"], ["z", "k + 11", "k + 29"], ["k", "n + 13", "n + 42"], ["n", "l + 12", "l + 54"], ["l", "e + 10", "e + 64"], ["e", 10, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"e": 10}, "is_reverse": true}} | 21,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; t = z + 5; s = y + 17; d = i + 5; z = k + 11; q = s + 7; k = n + 13; p = t + 13; e = 10; j = e + 13; n = l + 12; l = e + 10; y = j + 10. If e = 10, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 5 to p, which gives p = z + 18.\n2. Substitute z = k + 11 to p, which gives p = k + 29.\n3. Substitute k = n + 13 to p, which gives p = n + 42.\n4. Substitute n = l + 12 to p, which gives p = l + 54.\n5. Substitute l = e + 10 to p, which gives p = e + 64.\n6. Substitute e = 10 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 21494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; t = z + 5; s = y + 17; d = i + 5; z = k + 11; q = s + 7; k = n + 13; p = t + 13; e = 10; j = e + 13; n = l + 12; l = e + 10; y = j + 10. If e = 10, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 13", "y": "w + 1", "h": "y + 7", "v": "h + 5", "z": "v + 4", "c": "z + 17", "p": "n + 4", "k": "p + 3", "j": "k + 20", "e": "j + 16", "q": "e + 16", "r": "q + 15", "n": 19}, "premises": {"n": 19}, "target": "c"}, "answer": {"steps": [["z", "v + 4", "v + 21"], ["v", "h + 5", "h + 26"], ["h", "y + 7", "y + 33"], ["y", "w + 1", "w + 34"], ["w", "n + 13", "n + 47"], ["n", 19, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"n": 19}, "is_reverse": true}} | 21,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 15; z = v + 4; y = w + 1; k = p + 3; h = y + 7; c = z + 17; q = e + 16; e = j + 16; v = h + 5; p = n + 4; n = 19; j = k + 20; w = n + 13. Given that n = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 4 to c, which gives c = v + 21.\n2. Substitute v = h + 5 to c, which gives c = h + 26.\n3. Substitute h = y + 7 to c, which gives c = y + 33.\n4. Substitute y = w + 1 to c, which gives c = w + 34.\n5. Substitute w = n + 13 to c, which gives c = n + 47.\n6. Substitute n = 19 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 21495,
"question": "Suppose a collection of variables is related by the following definitions: r = q + 15; z = v + 4; y = w + 1; k = p + 3; h = y + 7; c = z + 17; q = e + 16; e = j + 16; v = h + 5; p = n + 4; n = 19; j = k + 20; w = n + 13. Given that n = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "f + 14", "i": "p + 13", "m": "i + 5", "b": "m + 2", "z": "b + 20", "q": "z + 7", "k": "f + 2", "n": "k + 2", "h": "n + 3", "j": "h + 12", "u": "j + 6", "a": "u + 10", "f": 14}, "premises": {"f": 14}, "target": "q"}, "answer": {"steps": [["z", "b + 20", "b + 27"], ["b", "m + 2", "m + 29"], ["m", "i + 5", "i + 34"], ["i", "p + 13", "p + 47"], ["p", "f + 14", "f + 61"], ["f", 14, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"f": 14}, "is_reverse": true}} | 21,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = f + 2; b = m + 2; h = n + 3; p = f + 14; j = h + 12; a = u + 10; f = 14; n = k + 2; i = p + 13; z = b + 20; q = z + 7; u = j + 6; m = i + 5. If f = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 20 to q, which gives q = b + 27.\n2. Substitute b = m + 2 to q, which gives q = m + 29.\n3. Substitute m = i + 5 to q, which gives q = i + 34.\n4. Substitute i = p + 13 to q, which gives q = p + 47.\n5. Substitute p = f + 14 to q, which gives q = f + 61.\n6. Substitute f = 14 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 21496,
"question": "Consider a system of variables where each variable is defined as follows: k = f + 2; b = m + 2; h = n + 3; p = f + 14; j = h + 12; a = u + 10; f = 14; n = k + 2; i = p + 13; z = b + 20; q = z + 7; u = j + 6; m = i + 5. If f = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 16", "o": "l + 8", "f": "o + 18", "p": "f + 8", "u": "p + 19", "h": "u + 19", "i": "x + 3", "y": "i + 6", "g": "y + 2", "t": "g + 9", "d": "t + 17", "r": "d + 12", "x": 17}, "premises": {"x": 17}, "target": "h"}, "answer": {"steps": [["u", "p + 19", "p + 38"], ["p", "f + 8", "f + 46"], ["f", "o + 18", "o + 64"], ["o", "l + 8", "l + 72"], ["l", "x + 16", "x + 88"], ["x", 17, "105"]], "target_var_name": "h", "target_value": 105, "value_dict": {"x": 17}, "is_reverse": true}} | 21,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 17; f = o + 18; d = t + 17; h = u + 19; o = l + 8; u = p + 19; l = x + 16; y = i + 6; i = x + 3; t = g + 9; g = y + 2; p = f + 8; r = d + 12. Given that x = 17, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 19 to h, which gives h = p + 38.\n2. Substitute p = f + 8 to h, which gives h = f + 46.\n3. Substitute f = o + 18 to h, which gives h = o + 64.\n4. Substitute o = l + 8 to h, which gives h = l + 72.\n5. Substitute l = x + 16 to h, which gives h = x + 88.\n6. Substitute x = 17 to h, which gives h = 105.\n\nThus, the final answer is h = \\boxed{105}.",
"index": 21497,
"question": "Suppose a collection of variables is related by the following definitions: x = 17; f = o + 18; d = t + 17; h = u + 19; o = l + 8; u = p + 19; l = x + 16; y = i + 6; i = x + 3; t = g + 9; g = y + 2; p = f + 8; r = d + 12. Given that x = 17, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 5", "b": "y + 10", "c": "b + 9", "u": "c + 16", "e": "u + 1", "q": "e + 2", "h": "i + 11", "f": "h + 12", "x": "f + 18", "o": "x + 11", "g": "o + 8", "d": "g + 19", "i": 4}, "premises": {"i": 4}, "target": "q"}, "answer": {"steps": [["e", "u + 1", "u + 3"], ["u", "c + 16", "c + 19"], ["c", "b + 9", "b + 28"], ["b", "y + 10", "y + 38"], ["y", "i + 5", "i + 43"], ["i", 4, "47"]], "target_var_name": "q", "target_value": 47, "value_dict": {"i": 4}, "is_reverse": true}} | 21,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = i + 11; f = h + 12; u = c + 16; e = u + 1; i = 4; g = o + 8; d = g + 19; y = i + 5; x = f + 18; c = b + 9; o = x + 11; b = y + 10; q = e + 2. Given that i = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 1 to q, which gives q = u + 3.\n2. Substitute u = c + 16 to q, which gives q = c + 19.\n3. Substitute c = b + 9 to q, which gives q = b + 28.\n4. Substitute b = y + 10 to q, which gives q = y + 38.\n5. Substitute y = i + 5 to q, which gives q = i + 43.\n6. Substitute i = 4 to q, which gives q = 47.\n\nThus, the final answer is q = \\boxed{47}.",
"index": 21498,
"question": "Suppose a collection of variables is related by the following definitions: h = i + 11; f = h + 12; u = c + 16; e = u + 1; i = 4; g = o + 8; d = g + 19; y = i + 5; x = f + 18; c = b + 9; o = x + 11; b = y + 10; q = e + 2. Given that i = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 17", "c": "g + 14", "i": "c + 12", "w": "i + 19", "d": "w + 3", "j": "d + 14", "y": "t + 1", "o": "y + 9", "z": "o + 6", "b": "z + 16", "v": "b + 16", "m": "v + 2", "t": 5}, "premises": {"t": 5}, "target": "j"}, "answer": {"steps": [["d", "w + 3", "w + 17"], ["w", "i + 19", "i + 36"], ["i", "c + 12", "c + 48"], ["c", "g + 14", "g + 62"], ["g", "t + 17", "t + 79"], ["t", 5, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"t": 5}, "is_reverse": true}} | 21,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 6; y = t + 1; i = c + 12; m = v + 2; c = g + 14; d = w + 3; w = i + 19; j = d + 14; t = 5; v = b + 16; b = z + 16; g = t + 17; o = y + 9. If t = 5, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 3 to j, which gives j = w + 17.\n2. Substitute w = i + 19 to j, which gives j = i + 36.\n3. Substitute i = c + 12 to j, which gives j = c + 48.\n4. Substitute c = g + 14 to j, which gives j = g + 62.\n5. Substitute g = t + 17 to j, which gives j = t + 79.\n6. Substitute t = 5 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 21499,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = o + 6; y = t + 1; i = c + 12; m = v + 2; c = g + 14; d = w + 3; w = i + 19; j = d + 14; t = 5; v = b + 16; b = z + 16; g = t + 17; o = y + 9. If t = 5, what is the resulting value of j?",
"split": "train"
} |
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