meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"h": "v + 17", "s": "h + 17", "p": "s + 17", "o": "p + 17", "g": "o + 6", "t": "g + 1", "i": "v + 11", "z": "i + 7", "r": "z + 5", "w": "r + 3", "c": "w + 5", "x": "c + 9", "v": 17}, "premises": {"v": 17}, "target": "t"}, "answer": {"steps": [["h", "v + 17", 34], ["s", "h + 17", 51], ["p", "s + 17", 68], ["o", "p + 17", 85], ["g", "o + 6", 91], ["t", "g + 1", 92]], "target_var_name": "t", "target_value": 92, "value_dict": {"v": 17, "h": 34, "s": 51, "p": 68, "o": 85, "g": 91, "t": 92}, "is_reverse": false}} | 600 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 17; w = r + 3; c = w + 5; x = c + 9; r = z + 5; z = i + 7; o = p + 17; p = s + 17; t = g + 1; i = v + 11; h = v + 17; g = o + 6; v = 17. If v = 17, what is the resulting value of t?",
"role": "user"... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = v + 17, which gives h = 34.\n2. Compute s using s = h + 17, which gives s = 51.\n3. Compute p using p = s + 17, which gives p = 68.\n4. Compute o using o = p + 17, which gives o = 85.\n5. Compute g using g = o + 6, which gives g = 91.\n6. Compute t using t = g + 1, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 17; w = r + 3; c = w + 5; x = c + 9; r = z + 5; z = i + 7; o = p + 17; p = s + 17; t = g + 1; i = v + 11; h = v + 17; g = o + 6; v = 17. If v = 17, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 8", "n": "o + 6", "d": "n + 20", "a": "d + 11", "k": "a + 18", "x": "k + 14", "m": "p + 4", "h": "m + 17", "f": "h + 16", "l": "f + 19", "w": "l + 7", "j": "w + 13", "p": 19}, "premises": {"p": 19}, "target": "x"}, "answer": {"steps": [["k", "a + 18", "a + 32"], ["a", "d + 11", "d + 43"], ["d", "n + 20", "n + 63"], ["n", "o + 6", "o + 69"], ["o", "p + 8", "p + 77"], ["p", 19, "96"]], "target_var_name": "x", "target_value": 96, "value_dict": {"p": 19}, "is_reverse": true}} | 601 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 16; o = p + 8; j = w + 13; n = o + 6; l = f + 19; k = a + 18; d = n + 20; h = m + 17; p = 19; a = d + 11; x = k + 14; w = l + 7; m = p + 4. If p = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 18 to x, which gives x = a + 32.\n2. Substitute a = d + 11 to x, which gives x = d + 43.\n3. Substitute d = n + 20 to x, which gives x = n + 63.\n4. Substitute n = o + 6 to x, which gives x = o + 69.\n5. Substitute o = p + 8 to x, which gives x = p + 77.\n6. Substitute p = 19 to x, which gives x = 96.\n\nThus, the final answer is x = \\boxed{96}.",
"index": 601,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 16; o = p + 8; j = w + 13; n = o + 6; l = f + 19; k = a + 18; d = n + 20; h = m + 17; p = 19; a = d + 11; x = k + 14; w = l + 7; m = p + 4. If p = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 17", "g": "p + 15", "a": "g + 18", "o": "a + 8", "q": "o + 6", "h": "q + 13", "u": "r + 1", "j": "u + 20", "w": "j + 19", "f": "w + 20", "z": "f + 19", "e": "z + 15", "r": 12}, "premises": {"r": 12}, "target": "h"}, "answer": {"steps": [["q", "o + 6", "o + 19"], ["o", "a + 8", "a + 27"], ["a", "g + 18", "g + 45"], ["g", "p + 15", "p + 60"], ["p", "r + 17", "r + 77"], ["r", 12, "89"]], "target_var_name": "h", "target_value": 89, "value_dict": {"r": 12}, "is_reverse": true}} | 602 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 1; g = p + 15; f = w + 20; e = z + 15; w = j + 19; z = f + 19; j = u + 20; r = 12; h = q + 13; o = a + 8; q = o + 6; p = r + 17; a = g + 18. If r = 12, what is the resulting value of h?",
"role": "u... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 6 to h, which gives h = o + 19.\n2. Substitute o = a + 8 to h, which gives h = a + 27.\n3. Substitute a = g + 18 to h, which gives h = g + 45.\n4. Substitute g = p + 15 to h, which gives h = p + 60.\n5. Substitute p = r + 17 to h, which gives h = r + 77.\n6. Substitute r = 12 to h, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 602,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 1; g = p + 15; f = w + 20; e = z + 15; w = j + 19; z = f + 19; j = u + 20; r = 12; h = q + 13; o = a + 8; q = o + 6; p = r + 17; a = g + 18. If r = 12, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 4", "i": "u + 13", "b": "i + 15", "v": "b + 9", "r": "v + 17", "q": "r + 1", "o": "f + 8", "t": "o + 7", "e": "t + 8", "k": "e + 13", "w": "k + 9", "y": "w + 13", "f": 6}, "premises": {"f": 6}, "target": "q"}, "answer": {"steps": [["r", "v + 17", "v + 18"], ["v", "b + 9", "b + 27"], ["b", "i + 15", "i + 42"], ["i", "u + 13", "u + 55"], ["u", "f + 4", "f + 59"], ["f", 6, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"f": 6}, "is_reverse": true}} | 603 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = f + 4; e = t + 8; r = v + 17; f = 6; b = i + 15; w = k + 9; q = r + 1; y = w + 13; v = b + 9; i = u + 13; t = o + 7; k = e + 13; o = f + 8. If f = 6, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 17 to q, which gives q = v + 18.\n2. Substitute v = b + 9 to q, which gives q = b + 27.\n3. Substitute b = i + 15 to q, which gives q = i + 42.\n4. Substitute i = u + 13 to q, which gives q = u + 55.\n5. Substitute u = f + 4 to q, which gives q = f + 59.\n6. Substitute f = 6 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 603,
"question": "Consider a system of variables where each variable is defined as follows: u = f + 4; e = t + 8; r = v + 17; f = 6; b = i + 15; w = k + 9; q = r + 1; y = w + 13; v = b + 9; i = u + 13; t = o + 7; k = e + 13; o = f + 8. If f = 6, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 8", "d": "h + 15", "g": "d + 10", "m": "g + 1", "x": "m + 19", "p": "x + 12", "w": "z + 7", "o": "w + 4", "b": "o + 20", "n": "b + 1", "s": "n + 6", "q": "s + 5", "z": 6}, "premises": {"z": 6}, "target": "p"}, "answer": {"steps": [["h", "z + 8", 14], ["d", "h + 15", 29], ["g", "d + 10", 39], ["m", "g + 1", 40], ["x", "m + 19", 59], ["p", "x + 12", 71]], "target_var_name": "p", "target_value": 71, "value_dict": {"z": 6, "h": 14, "d": 29, "g": 39, "m": 40, "x": 59, "p": 71}, "is_reverse": false}} | 604 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 8; w = z + 7; x = m + 19; p = x + 12; z = 6; g = d + 10; m = g + 1; n = b + 1; d = h + 15; s = n + 6; o = w + 4; q = s + 5; b = o + 20. Given that z = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = z + 8, which gives h = 14.\n2. Compute d using d = h + 15, which gives d = 29.\n3. Compute g using g = d + 10, which gives g = 39.\n4. Compute m using m = g + 1, which gives m = 40.\n5. Compute x using x = m + 19, which gives x = 59.\n6. Compute p using p = x + 12, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 604,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 8; w = z + 7; x = m + 19; p = x + 12; z = 6; g = d + 10; m = g + 1; n = b + 1; d = h + 15; s = n + 6; o = w + 4; q = s + 5; b = o + 20. Given that z = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 20", "l": "p + 7", "j": "l + 11", "s": "j + 2", "u": "s + 16", "d": "u + 12", "t": "h + 19", "r": "t + 7", "v": "r + 3", "n": "v + 4", "f": "n + 1", "a": "f + 9", "h": 7}, "premises": {"h": 7}, "target": "d"}, "answer": {"steps": [["u", "s + 16", "s + 28"], ["s", "j + 2", "j + 30"], ["j", "l + 11", "l + 41"], ["l", "p + 7", "p + 48"], ["p", "h + 20", "h + 68"], ["h", 7, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"h": 7}, "is_reverse": true}} | 605 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 7; v = r + 3; s = j + 2; f = n + 1; h = 7; p = h + 20; u = s + 16; n = v + 4; a = f + 9; j = l + 11; l = p + 7; d = u + 12; t = h + 19. Given that h = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 16 to d, which gives d = s + 28.\n2. Substitute s = j + 2 to d, which gives d = j + 30.\n3. Substitute j = l + 11 to d, which gives d = l + 41.\n4. Substitute l = p + 7 to d, which gives d = p + 48.\n5. Substitute p = h + 20 to d, which gives d = h + 68.\n6. Substitute h = 7 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 605,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 7; v = r + 3; s = j + 2; f = n + 1; h = 7; p = h + 20; u = s + 16; n = v + 4; a = f + 9; j = l + 11; l = p + 7; d = u + 12; t = h + 19. Given that h = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 6", "t": "c + 8", "h": "t + 7", "y": "h + 6", "j": "y + 9", "u": "j + 12", "d": "e + 18", "n": "d + 8", "p": "n + 16", "g": "p + 4", "v": "g + 11", "m": "v + 16", "e": 6}, "premises": {"e": 6}, "target": "u"}, "answer": {"steps": [["j", "y + 9", "y + 21"], ["y", "h + 6", "h + 27"], ["h", "t + 7", "t + 34"], ["t", "c + 8", "c + 42"], ["c", "e + 6", "e + 48"], ["e", 6, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"e": 6}, "is_reverse": true}} | 606 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 12; p = n + 16; c = e + 6; j = y + 9; d = e + 18; t = c + 8; g = p + 4; v = g + 11; y = h + 6; n = d + 8; m = v + 16; h = t + 7; e = 6. If e = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 9 to u, which gives u = y + 21.\n2. Substitute y = h + 6 to u, which gives u = h + 27.\n3. Substitute h = t + 7 to u, which gives u = t + 34.\n4. Substitute t = c + 8 to u, which gives u = c + 42.\n5. Substitute c = e + 6 to u, which gives u = e + 48.\n6. Substitute e = 6 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 606,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 12; p = n + 16; c = e + 6; j = y + 9; d = e + 18; t = c + 8; g = p + 4; v = g + 11; y = h + 6; n = d + 8; m = v + 16; h = t + 7; e = 6. If e = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 13", "p": "v + 6", "a": "p + 12", "y": "a + 2", "j": "y + 13", "m": "j + 17", "n": "e + 15", "w": "n + 12", "s": "w + 15", "z": "s + 3", "u": "z + 15", "x": "u + 7", "e": 7}, "premises": {"e": 7}, "target": "m"}, "answer": {"steps": [["v", "e + 13", 20], ["p", "v + 6", 26], ["a", "p + 12", 38], ["y", "a + 2", 40], ["j", "y + 13", 53], ["m", "j + 17", 70]], "target_var_name": "m", "target_value": 70, "value_dict": {"e": 7, "v": 20, "p": 26, "a": 38, "y": 40, "j": 53, "m": 70}, "is_reverse": false}} | 607 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 15; p = v + 6; a = p + 12; e = 7; j = y + 13; z = s + 3; y = a + 2; w = n + 12; v = e + 13; s = w + 15; m = j + 17; n = e + 15; x = u + 7. If e = 7, what is the resulting value of m?",
"role": "user... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = e + 13, which gives v = 20.\n2. Compute p using p = v + 6, which gives p = 26.\n3. Compute a using a = p + 12, which gives a = 38.\n4. Compute y using y = a + 2, which gives y = 40.\n5. Compute j using j = y + 13, which gives j = 53.\n6. Compute m using m = j + 17, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 607,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 15; p = v + 6; a = p + 12; e = 7; j = y + 13; z = s + 3; y = a + 2; w = n + 12; v = e + 13; s = w + 15; m = j + 17; n = e + 15; x = u + 7. If e = 7, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 9", "b": "o + 13", "s": "b + 18", "i": "s + 19", "k": "i + 12", "x": "k + 16", "e": "y + 10", "u": "e + 18", "c": "u + 3", "n": "c + 13", "v": "n + 14", "w": "v + 2", "y": 19}, "premises": {"y": 19}, "target": "x"}, "answer": {"steps": [["o", "y + 9", 28], ["b", "o + 13", 41], ["s", "b + 18", 59], ["i", "s + 19", 78], ["k", "i + 12", 90], ["x", "k + 16", 106]], "target_var_name": "x", "target_value": 106, "value_dict": {"y": 19, "o": 28, "b": 41, "s": 59, "i": 78, "k": 90, "x": 106}, "is_reverse": false}} | 608 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = i + 12; s = b + 18; i = s + 19; y = 19; c = u + 3; u = e + 18; v = n + 14; o = y + 9; n = c + 13; w = v + 2; e = y + 10; b = o + 13; x = k + 16. If y = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = y + 9, which gives o = 28.\n2. Compute b using b = o + 13, which gives b = 41.\n3. Compute s using s = b + 18, which gives s = 59.\n4. Compute i using i = s + 19, which gives i = 78.\n5. Compute k using k = i + 12, which gives k = 90.\n6. Compute x using x = k + 16, which gives x = 106.\n\nThus, the final answer is x = \\boxed{106}.",
"index": 608,
"question": "Consider a system of variables where each variable is defined as follows: k = i + 12; s = b + 18; i = s + 19; y = 19; c = u + 3; u = e + 18; v = n + 14; o = y + 9; n = c + 13; w = v + 2; e = y + 10; b = o + 13; x = k + 16. If y = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 6", "a": "p + 18", "h": "a + 17", "f": "h + 6", "t": "f + 4", "n": "t + 18", "q": "i + 14", "v": "q + 1", "d": "v + 17", "e": "d + 5", "w": "e + 6", "j": "w + 5", "i": 17}, "premises": {"i": 17}, "target": "n"}, "answer": {"steps": [["p", "i + 6", 23], ["a", "p + 18", 41], ["h", "a + 17", 58], ["f", "h + 6", 64], ["t", "f + 4", 68], ["n", "t + 18", 86]], "target_var_name": "n", "target_value": 86, "value_dict": {"i": 17, "p": 23, "a": 41, "h": 58, "f": 64, "t": 68, "n": 86}, "is_reverse": false}} | 609 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 17; f = h + 6; w = e + 6; i = 17; d = v + 17; e = d + 5; a = p + 18; j = w + 5; v = q + 1; n = t + 18; p = i + 6; q = i + 14; t = f + 4. If i = 17, what is the resulting value of n?",
"role": "user"... | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 6, which gives p = 23.\n2. Compute a using a = p + 18, which gives a = 41.\n3. Compute h using h = a + 17, which gives h = 58.\n4. Compute f using f = h + 6, which gives f = 64.\n5. Compute t using t = f + 4, which gives t = 68.\n6. Compute n using n = t + 18, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 609,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 17; f = h + 6; w = e + 6; i = 17; d = v + 17; e = d + 5; a = p + 18; j = w + 5; v = q + 1; n = t + 18; p = i + 6; q = i + 14; t = f + 4. If i = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 15", "w": "u + 2", "a": "w + 20", "p": "a + 13", "q": "p + 18", "x": "q + 9", "t": "d + 6", "z": "t + 3", "f": "z + 5", "y": "f + 17", "n": "y + 4", "l": "n + 17", "d": 4}, "premises": {"d": 4}, "target": "x"}, "answer": {"steps": [["q", "p + 18", "p + 27"], ["p", "a + 13", "a + 40"], ["a", "w + 20", "w + 60"], ["w", "u + 2", "u + 62"], ["u", "d + 15", "d + 77"], ["d", 4, "81"]], "target_var_name": "x", "target_value": 81, "value_dict": {"d": 4}, "is_reverse": true}} | 610 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = q + 9; u = d + 15; q = p + 18; t = d + 6; l = n + 17; w = u + 2; n = y + 4; z = t + 3; d = 4; y = f + 17; f = z + 5; p = a + 13; a = w + 20. Given that d = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 18 to x, which gives x = p + 27.\n2. Substitute p = a + 13 to x, which gives x = a + 40.\n3. Substitute a = w + 20 to x, which gives x = w + 60.\n4. Substitute w = u + 2 to x, which gives x = u + 62.\n5. Substitute u = d + 15 to x, which gives x = d + 77.\n6. Substitute d = 4 to x, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 610,
"question": "Suppose a collection of variables is related by the following definitions: x = q + 9; u = d + 15; q = p + 18; t = d + 6; l = n + 17; w = u + 2; n = y + 4; z = t + 3; d = 4; y = f + 17; f = z + 5; p = a + 13; a = w + 20. Given that d = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 16", "b": "l + 20", "e": "b + 12", "s": "e + 7", "j": "s + 3", "z": "j + 3", "h": "k + 13", "i": "h + 19", "v": "i + 13", "r": "v + 2", "f": "r + 17", "p": "f + 8", "k": 10}, "premises": {"k": 10}, "target": "z"}, "answer": {"steps": [["l", "k + 16", 26], ["b", "l + 20", 46], ["e", "b + 12", 58], ["s", "e + 7", 65], ["j", "s + 3", 68], ["z", "j + 3", 71]], "target_var_name": "z", "target_value": 71, "value_dict": {"k": 10, "l": 26, "b": 46, "e": 58, "s": 65, "j": 68, "z": 71}, "is_reverse": false}} | 611 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = v + 2; v = i + 13; p = f + 8; f = r + 17; j = s + 3; s = e + 7; z = j + 3; k = 10; l = k + 16; e = b + 12; i = h + 19; h = k + 13; b = l + 20. Given that k = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = k + 16, which gives l = 26.\n2. Compute b using b = l + 20, which gives b = 46.\n3. Compute e using e = b + 12, which gives e = 58.\n4. Compute s using s = e + 7, which gives s = 65.\n5. Compute j using j = s + 3, which gives j = 68.\n6. Compute z using z = j + 3, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 611,
"question": "Suppose a collection of variables is related by the following definitions: r = v + 2; v = i + 13; p = f + 8; f = r + 17; j = s + 3; s = e + 7; z = j + 3; k = 10; l = k + 16; e = b + 12; i = h + 19; h = k + 13; b = l + 20. Given that k = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 11", "b": "q + 16", "z": "b + 3", "l": "z + 13", "j": "l + 16", "v": "j + 18", "y": "o + 5", "g": "y + 13", "n": "g + 18", "r": "n + 12", "e": "r + 8", "u": "e + 9", "o": 4}, "premises": {"o": 4}, "target": "v"}, "answer": {"steps": [["q", "o + 11", 15], ["b", "q + 16", 31], ["z", "b + 3", 34], ["l", "z + 13", 47], ["j", "l + 16", 63], ["v", "j + 18", 81]], "target_var_name": "v", "target_value": 81, "value_dict": {"o": 4, "q": 15, "b": 31, "z": 34, "l": 47, "j": 63, "v": 81}, "is_reverse": false}} | 612 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = l + 16; r = n + 12; g = y + 13; b = q + 16; e = r + 8; y = o + 5; n = g + 18; l = z + 13; v = j + 18; o = 4; z = b + 3; u = e + 9; q = o + 11. Given that o = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = o + 11, which gives q = 15.\n2. Compute b using b = q + 16, which gives b = 31.\n3. Compute z using z = b + 3, which gives z = 34.\n4. Compute l using l = z + 13, which gives l = 47.\n5. Compute j using j = l + 16, which gives j = 63.\n6. Compute v using v = j + 18, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 612,
"question": "Suppose a collection of variables is related by the following definitions: j = l + 16; r = n + 12; g = y + 13; b = q + 16; e = r + 8; y = o + 5; n = g + 18; l = z + 13; v = j + 18; o = 4; z = b + 3; u = e + 9; q = o + 11. Given that o = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 2", "t": "m + 14", "v": "t + 3", "b": "v + 19", "e": "b + 12", "s": "e + 10", "p": "a + 5", "r": "p + 8", "q": "r + 19", "n": "q + 20", "h": "n + 17", "z": "h + 1", "a": 8}, "premises": {"a": 8}, "target": "s"}, "answer": {"steps": [["e", "b + 12", "b + 22"], ["b", "v + 19", "v + 41"], ["v", "t + 3", "t + 44"], ["t", "m + 14", "m + 58"], ["m", "a + 2", "a + 60"], ["a", 8, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"a": 8}, "is_reverse": true}} | 613 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 8; v = t + 3; p = a + 5; n = q + 20; s = e + 10; e = b + 12; t = m + 14; b = v + 19; h = n + 17; m = a + 2; z = h + 1; q = r + 19; a = 8. If a = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 12 to s, which gives s = b + 22.\n2. Substitute b = v + 19 to s, which gives s = v + 41.\n3. Substitute v = t + 3 to s, which gives s = t + 44.\n4. Substitute t = m + 14 to s, which gives s = m + 58.\n5. Substitute m = a + 2 to s, which gives s = a + 60.\n6. Substitute a = 8 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 613,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 8; v = t + 3; p = a + 5; n = q + 20; s = e + 10; e = b + 12; t = m + 14; b = v + 19; h = n + 17; m = a + 2; z = h + 1; q = r + 19; a = 8. If a = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 15", "g": "d + 17", "w": "g + 7", "c": "w + 9", "n": "c + 10", "p": "n + 19", "e": "v + 11", "j": "e + 18", "q": "j + 1", "f": "q + 19", "b": "f + 8", "t": "b + 8", "v": 5}, "premises": {"v": 5}, "target": "p"}, "answer": {"steps": [["d", "v + 15", 20], ["g", "d + 17", 37], ["w", "g + 7", 44], ["c", "w + 9", 53], ["n", "c + 10", 63], ["p", "n + 19", 82]], "target_var_name": "p", "target_value": 82, "value_dict": {"v": 5, "d": 20, "g": 37, "w": 44, "c": 53, "n": 63, "p": 82}, "is_reverse": false}} | 614 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 8; j = e + 18; e = v + 11; d = v + 15; n = c + 10; c = w + 9; v = 5; q = j + 1; p = n + 19; t = b + 8; w = g + 7; g = d + 17; f = q + 19. If v = 5, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = v + 15, which gives d = 20.\n2. Compute g using g = d + 17, which gives g = 37.\n3. Compute w using w = g + 7, which gives w = 44.\n4. Compute c using c = w + 9, which gives c = 53.\n5. Compute n using n = c + 10, which gives n = 63.\n6. Compute p using p = n + 19, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 614,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 8; j = e + 18; e = v + 11; d = v + 15; n = c + 10; c = w + 9; v = 5; q = j + 1; p = n + 19; t = b + 8; w = g + 7; g = d + 17; f = q + 19. If v = 5, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 14", "g": "w + 14", "s": "g + 18", "i": "s + 1", "c": "i + 10", "k": "c + 12", "x": "q + 13", "f": "x + 15", "n": "f + 20", "y": "n + 8", "l": "y + 17", "v": "l + 18", "q": 9}, "premises": {"q": 9}, "target": "k"}, "answer": {"steps": [["c", "i + 10", "i + 22"], ["i", "s + 1", "s + 23"], ["s", "g + 18", "g + 41"], ["g", "w + 14", "w + 55"], ["w", "q + 14", "q + 69"], ["q", 9, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"q": 9}, "is_reverse": true}} | 615 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = n + 8; s = g + 18; i = s + 1; l = y + 17; w = q + 14; f = x + 15; g = w + 14; c = i + 10; v = l + 18; n = f + 20; q = 9; k = c + 12; x = q + 13. If q = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 10 to k, which gives k = i + 22.\n2. Substitute i = s + 1 to k, which gives k = s + 23.\n3. Substitute s = g + 18 to k, which gives k = g + 41.\n4. Substitute g = w + 14 to k, which gives k = w + 55.\n5. Substitute w = q + 14 to k, which gives k = q + 69.\n6. Substitute q = 9 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 615,
"question": "Consider a system of variables where each variable is defined as follows: y = n + 8; s = g + 18; i = s + 1; l = y + 17; w = q + 14; f = x + 15; g = w + 14; c = i + 10; v = l + 18; n = f + 20; q = 9; k = c + 12; x = q + 13. If q = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"y": "x + 14", "p": "y + 8", "a": "p + 16", "h": "a + 2", "i": "h + 17", "q": "i + 1", "k": "x + 16", "r": "k + 2", "d": "r + 7", "v": "d + 4", "e": "v + 7", "n": "e + 4", "x": 3}, "premises": {"x": 3}, "target": "q"}, "answer": {"steps": [["i", "h + 17", "h + 18"], ["h", "a + 2", "a + 20"], ["a", "p + 16", "p + 36"], ["p", "y + 8", "y + 44"], ["y", "x + 14", "x + 58"], ["x", 3, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"x": 3}, "is_reverse": true}} | 616 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 3; h = a + 2; q = i + 1; a = p + 16; n = e + 4; e = v + 7; y = x + 14; d = r + 7; k = x + 16; p = y + 8; r = k + 2; i = h + 17; v = d + 4. If x = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 17 to q, which gives q = h + 18.\n2. Substitute h = a + 2 to q, which gives q = a + 20.\n3. Substitute a = p + 16 to q, which gives q = p + 36.\n4. Substitute p = y + 8 to q, which gives q = y + 44.\n5. Substitute y = x + 14 to q, which gives q = x + 58.\n6. Substitute x = 3 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 616,
"question": "Consider a system of variables where each variable is defined as follows: x = 3; h = a + 2; q = i + 1; a = p + 16; n = e + 4; e = v + 7; y = x + 14; d = r + 7; k = x + 16; p = y + 8; r = k + 2; i = h + 17; v = d + 4. If x = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 19", "n": "k + 13", "h": "n + 15", "o": "h + 2", "l": "o + 12", "c": "l + 20", "p": "s + 16", "y": "p + 9", "i": "y + 9", "j": "i + 7", "a": "j + 6", "b": "a + 12", "s": 3}, "premises": {"s": 3}, "target": "c"}, "answer": {"steps": [["l", "o + 12", "o + 32"], ["o", "h + 2", "h + 34"], ["h", "n + 15", "n + 49"], ["n", "k + 13", "k + 62"], ["k", "s + 19", "s + 81"], ["s", 3, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"s": 3}, "is_reverse": true}} | 617 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = y + 9; s = 3; h = n + 15; c = l + 20; b = a + 12; a = j + 6; l = o + 12; j = i + 7; p = s + 16; y = p + 9; n = k + 13; k = s + 19; o = h + 2. Given that s = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 12 to c, which gives c = o + 32.\n2. Substitute o = h + 2 to c, which gives c = h + 34.\n3. Substitute h = n + 15 to c, which gives c = n + 49.\n4. Substitute n = k + 13 to c, which gives c = k + 62.\n5. Substitute k = s + 19 to c, which gives c = s + 81.\n6. Substitute s = 3 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 617,
"question": "Suppose a collection of variables is related by the following definitions: i = y + 9; s = 3; h = n + 15; c = l + 20; b = a + 12; a = j + 6; l = o + 12; j = i + 7; p = s + 16; y = p + 9; n = k + 13; k = s + 19; o = h + 2. Given that s = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 6", "e": "b + 5", "p": "e + 15", "z": "p + 20", "c": "z + 3", "q": "c + 8", "j": "l + 18", "s": "j + 20", "n": "s + 11", "w": "n + 17", "f": "w + 19", "x": "f + 17", "l": 19}, "premises": {"l": 19}, "target": "q"}, "answer": {"steps": [["b", "l + 6", 25], ["e", "b + 5", 30], ["p", "e + 15", 45], ["z", "p + 20", 65], ["c", "z + 3", 68], ["q", "c + 8", 76]], "target_var_name": "q", "target_value": 76, "value_dict": {"l": 19, "b": 25, "e": 30, "p": 45, "z": 65, "c": 68, "q": 76}, "is_reverse": false}} | 618 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 20; p = e + 15; j = l + 18; x = f + 17; e = b + 5; n = s + 11; w = n + 17; q = c + 8; c = z + 3; l = 19; f = w + 19; b = l + 6; s = j + 20. Given that l = 19, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = l + 6, which gives b = 25.\n2. Compute e using e = b + 5, which gives e = 30.\n3. Compute p using p = e + 15, which gives p = 45.\n4. Compute z using z = p + 20, which gives z = 65.\n5. Compute c using c = z + 3, which gives c = 68.\n6. Compute q using q = c + 8, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 618,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 20; p = e + 15; j = l + 18; x = f + 17; e = b + 5; n = s + 11; w = n + 17; q = c + 8; c = z + 3; l = 19; f = w + 19; b = l + 6; s = j + 20. Given that l = 19, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 11", "v": "b + 3", "i": "v + 11", "k": "i + 6", "l": "k + 1", "o": "l + 6", "t": "y + 18", "g": "t + 7", "p": "g + 11", "j": "p + 6", "u": "j + 11", "r": "u + 3", "y": 13}, "premises": {"y": 13}, "target": "o"}, "answer": {"steps": [["b", "y + 11", 24], ["v", "b + 3", 27], ["i", "v + 11", 38], ["k", "i + 6", 44], ["l", "k + 1", 45], ["o", "l + 6", 51]], "target_var_name": "o", "target_value": 51, "value_dict": {"y": 13, "b": 24, "v": 27, "i": 38, "k": 44, "l": 45, "o": 51}, "is_reverse": false}} | 619 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 3; j = p + 6; y = 13; p = g + 11; l = k + 1; t = y + 18; r = u + 3; b = y + 11; i = v + 11; u = j + 11; g = t + 7; k = i + 6; o = l + 6. If y = 13, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = y + 11, which gives b = 24.\n2. Compute v using v = b + 3, which gives v = 27.\n3. Compute i using i = v + 11, which gives i = 38.\n4. Compute k using k = i + 6, which gives k = 44.\n5. Compute l using l = k + 1, which gives l = 45.\n6. Compute o using o = l + 6, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 619,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 3; j = p + 6; y = 13; p = g + 11; l = k + 1; t = y + 18; r = u + 3; b = y + 11; i = v + 11; u = j + 11; g = t + 7; k = i + 6; o = l + 6. If y = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 19", "y": "h + 14", "r": "y + 15", "g": "r + 12", "m": "g + 8", "e": "m + 9", "u": "q + 16", "t": "u + 5", "j": "t + 13", "w": "j + 13", "d": "w + 16", "a": "d + 11", "q": 5}, "premises": {"q": 5}, "target": "e"}, "answer": {"steps": [["h", "q + 19", 24], ["y", "h + 14", 38], ["r", "y + 15", 53], ["g", "r + 12", 65], ["m", "g + 8", 73], ["e", "m + 9", 82]], "target_var_name": "e", "target_value": 82, "value_dict": {"q": 5, "h": 24, "y": 38, "r": 53, "g": 65, "m": 73, "e": 82}, "is_reverse": false}} | 620 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 13; u = q + 16; w = j + 13; q = 5; e = m + 9; h = q + 19; r = y + 15; d = w + 16; y = h + 14; g = r + 12; a = d + 11; m = g + 8; t = u + 5. If q = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = q + 19, which gives h = 24.\n2. Compute y using y = h + 14, which gives y = 38.\n3. Compute r using r = y + 15, which gives r = 53.\n4. Compute g using g = r + 12, which gives g = 65.\n5. Compute m using m = g + 8, which gives m = 73.\n6. Compute e using e = m + 9, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 620,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 13; u = q + 16; w = j + 13; q = 5; e = m + 9; h = q + 19; r = y + 15; d = w + 16; y = h + 14; g = r + 12; a = d + 11; m = g + 8; t = u + 5. If q = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 11", "u": "q + 17", "c": "u + 8", "h": "c + 17", "b": "h + 5", "v": "b + 1", "z": "x + 3", "p": "z + 3", "f": "p + 5", "y": "f + 16", "s": "y + 17", "j": "s + 10", "x": 3}, "premises": {"x": 3}, "target": "v"}, "answer": {"steps": [["q", "x + 11", 14], ["u", "q + 17", 31], ["c", "u + 8", 39], ["h", "c + 17", 56], ["b", "h + 5", 61], ["v", "b + 1", 62]], "target_var_name": "v", "target_value": 62, "value_dict": {"x": 3, "q": 14, "u": 31, "c": 39, "h": 56, "b": 61, "v": 62}, "is_reverse": false}} | 621 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 1; s = y + 17; b = h + 5; x = 3; p = z + 3; j = s + 10; c = u + 8; y = f + 16; u = q + 17; h = c + 17; q = x + 11; f = p + 5; z = x + 3. Given that x = 3, find 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. Compute q using q = x + 11, which gives q = 14.\n2. Compute u using u = q + 17, which gives u = 31.\n3. Compute c using c = u + 8, which gives c = 39.\n4. Compute h using h = c + 17, which gives h = 56.\n5. Compute b using b = h + 5, which gives b = 61.\n6. Compute v using v = b + 1, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 621,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 1; s = y + 17; b = h + 5; x = 3; p = z + 3; j = s + 10; c = u + 8; y = f + 16; u = q + 17; h = c + 17; q = x + 11; f = p + 5; z = x + 3. Given that x = 3, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 12", "r": "k + 2", "j": "r + 6", "v": "j + 13", "q": "v + 5", "l": "q + 6", "o": "y + 17", "e": "o + 7", "h": "e + 18", "d": "h + 13", "f": "d + 1", "i": "f + 12", "y": 14}, "premises": {"y": 14}, "target": "l"}, "answer": {"steps": [["q", "v + 5", "v + 11"], ["v", "j + 13", "j + 24"], ["j", "r + 6", "r + 30"], ["r", "k + 2", "k + 32"], ["k", "y + 12", "y + 44"], ["y", 14, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"y": 14}, "is_reverse": true}} | 622 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 12; y = 14; k = y + 12; d = h + 13; r = k + 2; e = o + 7; q = v + 5; l = q + 6; o = y + 17; h = e + 18; v = j + 13; j = r + 6; f = d + 1. If y = 14, what is the resulting 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 q = v + 5 to l, which gives l = v + 11.\n2. Substitute v = j + 13 to l, which gives l = j + 24.\n3. Substitute j = r + 6 to l, which gives l = r + 30.\n4. Substitute r = k + 2 to l, which gives l = k + 32.\n5. Substitute k = y + 12 to l, which gives l = y + 44.\n6. Substitute y = 14 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 622,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 12; y = 14; k = y + 12; d = h + 13; r = k + 2; e = o + 7; q = v + 5; l = q + 6; o = y + 17; h = e + 18; v = j + 13; j = r + 6; f = d + 1. If y = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 20", "t": "h + 10", "e": "t + 11", "k": "e + 11", "n": "k + 8", "i": "n + 14", "y": "s + 9", "q": "y + 11", "b": "q + 20", "m": "b + 1", "w": "m + 11", "u": "w + 11", "s": 4}, "premises": {"s": 4}, "target": "i"}, "answer": {"steps": [["h", "s + 20", 24], ["t", "h + 10", 34], ["e", "t + 11", 45], ["k", "e + 11", 56], ["n", "k + 8", 64], ["i", "n + 14", 78]], "target_var_name": "i", "target_value": 78, "value_dict": {"s": 4, "h": 24, "t": 34, "e": 45, "k": 56, "n": 64, "i": 78}, "is_reverse": false}} | 623 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 14; e = t + 11; w = m + 11; u = w + 11; s = 4; y = s + 9; t = h + 10; m = b + 1; q = y + 11; n = k + 8; k = e + 11; h = s + 20; b = q + 20. Given that s = 4, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = s + 20, which gives h = 24.\n2. Compute t using t = h + 10, which gives t = 34.\n3. Compute e using e = t + 11, which gives e = 45.\n4. Compute k using k = e + 11, which gives k = 56.\n5. Compute n using n = k + 8, which gives n = 64.\n6. Compute i using i = n + 14, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 623,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 14; e = t + 11; w = m + 11; u = w + 11; s = 4; y = s + 9; t = h + 10; m = b + 1; q = y + 11; n = k + 8; k = e + 11; h = s + 20; b = q + 20. Given that s = 4, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 16", "u": "n + 20", "p": "u + 19", "v": "p + 18", "m": "v + 6", "i": "m + 9", "j": "b + 11", "h": "j + 2", "g": "h + 20", "t": "g + 19", "q": "t + 8", "f": "q + 19", "b": 2}, "premises": {"b": 2}, "target": "i"}, "answer": {"steps": [["n", "b + 16", 18], ["u", "n + 20", 38], ["p", "u + 19", 57], ["v", "p + 18", 75], ["m", "v + 6", 81], ["i", "m + 9", 90]], "target_var_name": "i", "target_value": 90, "value_dict": {"b": 2, "n": 18, "u": 38, "p": 57, "v": 75, "m": 81, "i": 90}, "is_reverse": false}} | 624 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 6; t = g + 19; j = b + 11; f = q + 19; i = m + 9; b = 2; h = j + 2; n = b + 16; u = n + 20; g = h + 20; p = u + 19; v = p + 18; q = t + 8. If b = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = b + 16, which gives n = 18.\n2. Compute u using u = n + 20, which gives u = 38.\n3. Compute p using p = u + 19, which gives p = 57.\n4. Compute v using v = p + 18, which gives v = 75.\n5. Compute m using m = v + 6, which gives m = 81.\n6. Compute i using i = m + 9, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 624,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 6; t = g + 19; j = b + 11; f = q + 19; i = m + 9; b = 2; h = j + 2; n = b + 16; u = n + 20; g = h + 20; p = u + 19; v = p + 18; q = t + 8. If b = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 20", "r": "i + 18", "j": "r + 17", "c": "j + 12", "q": "c + 12", "p": "q + 20", "b": "y + 3", "x": "b + 17", "g": "x + 18", "t": "g + 15", "k": "t + 14", "n": "k + 7", "y": 20}, "premises": {"y": 20}, "target": "p"}, "answer": {"steps": [["q", "c + 12", "c + 32"], ["c", "j + 12", "j + 44"], ["j", "r + 17", "r + 61"], ["r", "i + 18", "i + 79"], ["i", "y + 20", "y + 99"], ["y", 20, "119"]], "target_var_name": "p", "target_value": 119, "value_dict": {"y": 20}, "is_reverse": true}} | 625 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = i + 18; x = b + 17; i = y + 20; b = y + 3; c = j + 12; p = q + 20; n = k + 7; q = c + 12; t = g + 15; k = t + 14; y = 20; g = x + 18; j = r + 17. If y = 20, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 119,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 12 to p, which gives p = c + 32.\n2. Substitute c = j + 12 to p, which gives p = j + 44.\n3. Substitute j = r + 17 to p, which gives p = r + 61.\n4. Substitute r = i + 18 to p, which gives p = i + 79.\n5. Substitute i = y + 20 to p, which gives p = y + 99.\n6. Substitute y = 20 to p, which gives p = 119.\n\nThus, the final answer is p = \\boxed{119}.",
"index": 625,
"question": "Consider a system of variables where each variable is defined as follows: r = i + 18; x = b + 17; i = y + 20; b = y + 3; c = j + 12; p = q + 20; n = k + 7; q = c + 12; t = g + 15; k = t + 14; y = 20; g = x + 18; j = r + 17. If y = 20, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 6", "j": "m + 7", "p": "j + 3", "v": "p + 15", "x": "v + 15", "y": "x + 2", "n": "l + 17", "a": "n + 1", "r": "a + 5", "t": "r + 6", "b": "t + 13", "q": "b + 15", "l": 13}, "premises": {"l": 13}, "target": "y"}, "answer": {"steps": [["m", "l + 6", 19], ["j", "m + 7", 26], ["p", "j + 3", 29], ["v", "p + 15", 44], ["x", "v + 15", 59], ["y", "x + 2", 61]], "target_var_name": "y", "target_value": 61, "value_dict": {"l": 13, "m": 19, "j": 26, "p": 29, "v": 44, "x": 59, "y": 61}, "is_reverse": false}} | 626 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 5; m = l + 6; b = t + 13; y = x + 2; t = r + 6; a = n + 1; p = j + 3; j = m + 7; l = 13; x = v + 15; n = l + 17; v = p + 15; q = b + 15. If l = 13, what is the resulting value of y?",
"role": "user"... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = l + 6, which gives m = 19.\n2. Compute j using j = m + 7, which gives j = 26.\n3. Compute p using p = j + 3, which gives p = 29.\n4. Compute v using v = p + 15, which gives v = 44.\n5. Compute x using x = v + 15, which gives x = 59.\n6. Compute y using y = x + 2, which gives y = 61.\n\nThus, the final answer is y = \\boxed{61}.",
"index": 626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 5; m = l + 6; b = t + 13; y = x + 2; t = r + 6; a = n + 1; p = j + 3; j = m + 7; l = 13; x = v + 15; n = l + 17; v = p + 15; q = b + 15. If l = 13, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 5", "r": "b + 9", "g": "r + 19", "f": "g + 11", "o": "f + 19", "h": "o + 8", "n": "s + 2", "i": "n + 3", "v": "i + 8", "j": "v + 15", "y": "j + 18", "l": "y + 7", "s": 11}, "premises": {"s": 11}, "target": "h"}, "answer": {"steps": [["b", "s + 5", 16], ["r", "b + 9", 25], ["g", "r + 19", 44], ["f", "g + 11", 55], ["o", "f + 19", 74], ["h", "o + 8", 82]], "target_var_name": "h", "target_value": 82, "value_dict": {"s": 11, "b": 16, "r": 25, "g": 44, "f": 55, "o": 74, "h": 82}, "is_reverse": false}} | 627 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = b + 9; j = v + 15; b = s + 5; l = y + 7; f = g + 11; n = s + 2; y = j + 18; v = i + 8; o = f + 19; s = 11; h = o + 8; g = r + 19; i = n + 3. If s = 11, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = s + 5, which gives b = 16.\n2. Compute r using r = b + 9, which gives r = 25.\n3. Compute g using g = r + 19, which gives g = 44.\n4. Compute f using f = g + 11, which gives f = 55.\n5. Compute o using o = f + 19, which gives o = 74.\n6. Compute h using h = o + 8, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 627,
"question": "Consider a system of variables where each variable is defined as follows: r = b + 9; j = v + 15; b = s + 5; l = y + 7; f = g + 11; n = s + 2; y = j + 18; v = i + 8; o = f + 19; s = 11; h = o + 8; g = r + 19; i = n + 3. If s = 11, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 8", "o": "z + 1", "g": "o + 10", "c": "g + 10", "e": "c + 15", "w": "e + 3", "q": "t + 8", "b": "q + 20", "a": "b + 5", "r": "a + 3", "n": "r + 19", "d": "n + 10", "t": 14}, "premises": {"t": 14}, "target": "w"}, "answer": {"steps": [["z", "t + 8", 22], ["o", "z + 1", 23], ["g", "o + 10", 33], ["c", "g + 10", 43], ["e", "c + 15", 58], ["w", "e + 3", 61]], "target_var_name": "w", "target_value": 61, "value_dict": {"t": 14, "z": 22, "o": 23, "g": 33, "c": 43, "e": 58, "w": 61}, "is_reverse": false}} | 628 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 10; g = o + 10; z = t + 8; n = r + 19; e = c + 15; t = 14; q = t + 8; w = e + 3; o = z + 1; d = n + 10; a = b + 5; b = q + 20; r = a + 3. Given that t = 14, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 8, which gives z = 22.\n2. Compute o using o = z + 1, which gives o = 23.\n3. Compute g using g = o + 10, which gives g = 33.\n4. Compute c using c = g + 10, which gives c = 43.\n5. Compute e using e = c + 15, which gives e = 58.\n6. Compute w using w = e + 3, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 628,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 10; g = o + 10; z = t + 8; n = r + 19; e = c + 15; t = 14; q = t + 8; w = e + 3; o = z + 1; d = n + 10; a = b + 5; b = q + 20; r = a + 3. Given that t = 14, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 11", "t": "l + 4", "u": "t + 19", "b": "u + 2", "d": "b + 11", "r": "d + 20", "i": "y + 15", "j": "i + 14", "s": "j + 7", "w": "s + 18", "q": "w + 14", "z": "q + 8", "y": 9}, "premises": {"y": 9}, "target": "r"}, "answer": {"steps": [["d", "b + 11", "b + 31"], ["b", "u + 2", "u + 33"], ["u", "t + 19", "t + 52"], ["t", "l + 4", "l + 56"], ["l", "y + 11", "y + 67"], ["y", 9, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"y": 9}, "is_reverse": true}} | 629 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 18; t = l + 4; u = t + 19; y = 9; i = y + 15; d = b + 11; j = i + 14; b = u + 2; q = w + 14; r = d + 20; s = j + 7; z = q + 8; l = y + 11. Given that y = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = b + 11 to r, which gives r = b + 31.\n2. Substitute b = u + 2 to r, which gives r = u + 33.\n3. Substitute u = t + 19 to r, which gives r = t + 52.\n4. Substitute t = l + 4 to r, which gives r = l + 56.\n5. Substitute l = y + 11 to r, which gives r = y + 67.\n6. Substitute y = 9 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 629,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 18; t = l + 4; u = t + 19; y = 9; i = y + 15; d = b + 11; j = i + 14; b = u + 2; q = w + 14; r = d + 20; s = j + 7; z = q + 8; l = y + 11. Given that y = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 15", "p": "w + 6", "t": "p + 7", "z": "t + 12", "g": "z + 18", "x": "g + 18", "y": "d + 6", "c": "y + 6", "s": "c + 3", "i": "s + 7", "v": "i + 8", "q": "v + 3", "d": 16}, "premises": {"d": 16}, "target": "x"}, "answer": {"steps": [["g", "z + 18", "z + 36"], ["z", "t + 12", "t + 48"], ["t", "p + 7", "p + 55"], ["p", "w + 6", "w + 61"], ["w", "d + 15", "d + 76"], ["d", 16, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"d": 16}, "is_reverse": true}} | 630 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 6; z = t + 12; g = z + 18; d = 16; c = y + 6; w = d + 15; i = s + 7; s = c + 3; x = g + 18; v = i + 8; y = d + 6; q = v + 3; t = p + 7. If d = 16, what is the resulting value of x?",
"role": "user"
... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 18 to x, which gives x = z + 36.\n2. Substitute z = t + 12 to x, which gives x = t + 48.\n3. Substitute t = p + 7 to x, which gives x = p + 55.\n4. Substitute p = w + 6 to x, which gives x = w + 61.\n5. Substitute w = d + 15 to x, which gives x = d + 76.\n6. Substitute d = 16 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 630,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 6; z = t + 12; g = z + 18; d = 16; c = y + 6; w = d + 15; i = s + 7; s = c + 3; x = g + 18; v = i + 8; y = d + 6; q = v + 3; t = p + 7. If d = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 17", "a": "n + 9", "o": "a + 19", "y": "o + 1", "b": "y + 9", "h": "b + 14", "p": "f + 17", "s": "p + 18", "e": "s + 1", "t": "e + 17", "k": "t + 20", "v": "k + 4", "f": 20}, "premises": {"f": 20}, "target": "h"}, "answer": {"steps": [["n", "f + 17", 37], ["a", "n + 9", 46], ["o", "a + 19", 65], ["y", "o + 1", 66], ["b", "y + 9", 75], ["h", "b + 14", 89]], "target_var_name": "h", "target_value": 89, "value_dict": {"f": 20, "n": 37, "a": 46, "o": 65, "y": 66, "b": 75, "h": 89}, "is_reverse": false}} | 631 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 9; b = y + 9; h = b + 14; p = f + 17; e = s + 1; f = 20; s = p + 18; n = f + 17; k = t + 20; t = e + 17; v = k + 4; y = o + 1; o = a + 19. If f = 20, what is the resulting value of h?",
"role": "use... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = f + 17, which gives n = 37.\n2. Compute a using a = n + 9, which gives a = 46.\n3. Compute o using o = a + 19, which gives o = 65.\n4. Compute y using y = o + 1, which gives y = 66.\n5. Compute b using b = y + 9, which gives b = 75.\n6. Compute h using h = b + 14, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 631,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 9; b = y + 9; h = b + 14; p = f + 17; e = s + 1; f = 20; s = p + 18; n = f + 17; k = t + 20; t = e + 17; v = k + 4; y = o + 1; o = a + 19. If f = 20, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"p": "d + 16", "h": "p + 10", "z": "h + 13", "y": "z + 16", "m": "y + 10", "f": "m + 13", "a": "d + 16", "u": "a + 13", "r": "u + 3", "i": "r + 16", "s": "i + 17", "c": "s + 12", "d": 2}, "premises": {"d": 2}, "target": "f"}, "answer": {"steps": [["p", "d + 16", 18], ["h", "p + 10", 28], ["z", "h + 13", 41], ["y", "z + 16", 57], ["m", "y + 10", 67], ["f", "m + 13", 80]], "target_var_name": "f", "target_value": 80, "value_dict": {"d": 2, "p": 18, "h": 28, "z": 41, "y": 57, "m": 67, "f": 80}, "is_reverse": false}} | 632 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 16; d = 2; p = d + 16; r = u + 3; m = y + 10; h = p + 10; c = s + 12; f = m + 13; s = i + 17; i = r + 16; u = a + 13; y = z + 16; z = h + 13. If d = 2, what is the resulting value of f?",
"role": "u... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = d + 16, which gives p = 18.\n2. Compute h using h = p + 10, which gives h = 28.\n3. Compute z using z = h + 13, which gives z = 41.\n4. Compute y using y = z + 16, which gives y = 57.\n5. Compute m using m = y + 10, which gives m = 67.\n6. Compute f using f = m + 13, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 632,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 16; d = 2; p = d + 16; r = u + 3; m = y + 10; h = p + 10; c = s + 12; f = m + 13; s = i + 17; i = r + 16; u = a + 13; y = z + 16; z = h + 13. If d = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 16", "o": "d + 4", "b": "o + 16", "y": "b + 9", "h": "y + 2", "x": "h + 4", "p": "t + 1", "a": "p + 10", "j": "a + 11", "f": "j + 11", "u": "f + 19", "v": "u + 9", "t": 16}, "premises": {"t": 16}, "target": "x"}, "answer": {"steps": [["h", "y + 2", "y + 6"], ["y", "b + 9", "b + 15"], ["b", "o + 16", "o + 31"], ["o", "d + 4", "d + 35"], ["d", "t + 16", "t + 51"], ["t", 16, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"t": 16}, "is_reverse": true}} | 633 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 16; j = a + 11; t = 16; a = p + 10; v = u + 9; u = f + 19; d = t + 16; f = j + 11; x = h + 4; p = t + 1; y = b + 9; h = y + 2; o = d + 4. If t = 16, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 2 to x, which gives x = y + 6.\n2. Substitute y = b + 9 to x, which gives x = b + 15.\n3. Substitute b = o + 16 to x, which gives x = o + 31.\n4. Substitute o = d + 4 to x, which gives x = d + 35.\n5. Substitute d = t + 16 to x, which gives x = t + 51.\n6. Substitute t = 16 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 633,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 16; j = a + 11; t = 16; a = p + 10; v = u + 9; u = f + 19; d = t + 16; f = j + 11; x = h + 4; p = t + 1; y = b + 9; h = y + 2; o = d + 4. If t = 16, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 17", "m": "z + 1", "r": "m + 1", "b": "r + 11", "c": "b + 1", "f": "c + 20", "u": "w + 5", "a": "u + 9", "x": "a + 13", "e": "x + 6", "q": "e + 4", "h": "q + 20", "w": 3}, "premises": {"w": 3}, "target": "f"}, "answer": {"steps": [["z", "w + 17", 20], ["m", "z + 1", 21], ["r", "m + 1", 22], ["b", "r + 11", 33], ["c", "b + 1", 34], ["f", "c + 20", 54]], "target_var_name": "f", "target_value": 54, "value_dict": {"w": 3, "z": 20, "m": 21, "r": 22, "b": 33, "c": 34, "f": 54}, "is_reverse": false}} | 634 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 20; b = r + 11; q = e + 4; c = b + 1; x = a + 13; a = u + 9; f = c + 20; m = z + 1; e = x + 6; w = 3; r = m + 1; u = w + 5; z = w + 17. If w = 3, what is the resulting 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. Compute z using z = w + 17, which gives z = 20.\n2. Compute m using m = z + 1, which gives m = 21.\n3. Compute r using r = m + 1, which gives r = 22.\n4. Compute b using b = r + 11, which gives b = 33.\n5. Compute c using c = b + 1, which gives c = 34.\n6. Compute f using f = c + 20, which gives f = 54.\n\nThus, the final answer is f = \\boxed{54}.",
"index": 634,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 20; b = r + 11; q = e + 4; c = b + 1; x = a + 13; a = u + 9; f = c + 20; m = z + 1; e = x + 6; w = 3; r = m + 1; u = w + 5; z = w + 17. If w = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 15", "v": "z + 4", "c": "v + 20", "r": "c + 19", "u": "r + 1", "g": "u + 20", "t": "f + 7", "s": "t + 7", "o": "s + 5", "a": "o + 10", "w": "a + 4", "n": "w + 16", "f": 6}, "premises": {"f": 6}, "target": "g"}, "answer": {"steps": [["u", "r + 1", "r + 21"], ["r", "c + 19", "c + 40"], ["c", "v + 20", "v + 60"], ["v", "z + 4", "z + 64"], ["z", "f + 15", "f + 79"], ["f", 6, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"f": 6}, "is_reverse": true}} | 635 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 6; t = f + 7; u = r + 1; n = w + 16; c = v + 20; s = t + 7; o = s + 5; w = a + 4; a = o + 10; z = f + 15; g = u + 20; r = c + 19; v = z + 4. If f = 6, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 1 to g, which gives g = r + 21.\n2. Substitute r = c + 19 to g, which gives g = c + 40.\n3. Substitute c = v + 20 to g, which gives g = v + 60.\n4. Substitute v = z + 4 to g, which gives g = z + 64.\n5. Substitute z = f + 15 to g, which gives g = f + 79.\n6. Substitute f = 6 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 635,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 6; t = f + 7; u = r + 1; n = w + 16; c = v + 20; s = t + 7; o = s + 5; w = a + 4; a = o + 10; z = f + 15; g = u + 20; r = c + 19; v = z + 4. If f = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 2", "s": "a + 15", "x": "s + 12", "z": "x + 5", "f": "z + 10", "c": "f + 20", "g": "n + 18", "o": "g + 11", "r": "o + 8", "y": "r + 19", "i": "y + 17", "m": "i + 9", "n": 18}, "premises": {"n": 18}, "target": "c"}, "answer": {"steps": [["a", "n + 2", 20], ["s", "a + 15", 35], ["x", "s + 12", 47], ["z", "x + 5", 52], ["f", "z + 10", 62], ["c", "f + 20", 82]], "target_var_name": "c", "target_value": 82, "value_dict": {"n": 18, "a": 20, "s": 35, "x": 47, "z": 52, "f": 62, "c": 82}, "is_reverse": false}} | 636 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 2; s = a + 15; o = g + 11; g = n + 18; y = r + 19; z = x + 5; r = o + 8; n = 18; x = s + 12; f = z + 10; c = f + 20; i = y + 17; m = i + 9. If n = 18, what is the resulting value of c?",
"role": "us... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = n + 2, which gives a = 20.\n2. Compute s using s = a + 15, which gives s = 35.\n3. Compute x using x = s + 12, which gives x = 47.\n4. Compute z using z = x + 5, which gives z = 52.\n5. Compute f using f = z + 10, which gives f = 62.\n6. Compute c using c = f + 20, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 636,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 2; s = a + 15; o = g + 11; g = n + 18; y = r + 19; z = x + 5; r = o + 8; n = 18; x = s + 12; f = z + 10; c = f + 20; i = y + 17; m = i + 9. If n = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 7", "x": "y + 14", "l": "x + 1", "h": "l + 15", "i": "h + 11", "a": "i + 10", "o": "g + 2", "e": "o + 16", "f": "e + 8", "t": "f + 5", "v": "t + 20", "u": "v + 15", "g": 7}, "premises": {"g": 7}, "target": "a"}, "answer": {"steps": [["i", "h + 11", "h + 21"], ["h", "l + 15", "l + 36"], ["l", "x + 1", "x + 37"], ["x", "y + 14", "y + 51"], ["y", "g + 7", "g + 58"], ["g", 7, "65"]], "target_var_name": "a", "target_value": 65, "value_dict": {"g": 7}, "is_reverse": true}} | 637 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 15; u = v + 15; o = g + 2; v = t + 20; e = o + 16; y = g + 7; a = i + 10; t = f + 5; g = 7; i = h + 11; f = e + 8; l = x + 1; x = y + 14. Given that g = 7, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 11 to a, which gives a = h + 21.\n2. Substitute h = l + 15 to a, which gives a = l + 36.\n3. Substitute l = x + 1 to a, which gives a = x + 37.\n4. Substitute x = y + 14 to a, which gives a = y + 51.\n5. Substitute y = g + 7 to a, which gives a = g + 58.\n6. Substitute g = 7 to a, which gives a = 65.\n\nThus, the final answer is a = \\boxed{65}.",
"index": 637,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 15; u = v + 15; o = g + 2; v = t + 20; e = o + 16; y = g + 7; a = i + 10; t = f + 5; g = 7; i = h + 11; f = e + 8; l = x + 1; x = y + 14. Given that g = 7, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 5", "w": "v + 17", "m": "w + 12", "k": "m + 8", "j": "k + 18", "b": "j + 3", "t": "e + 5", "c": "t + 1", "y": "c + 12", "g": "y + 3", "z": "g + 17", "a": "z + 14", "e": 3}, "premises": {"e": 3}, "target": "b"}, "answer": {"steps": [["j", "k + 18", "k + 21"], ["k", "m + 8", "m + 29"], ["m", "w + 12", "w + 41"], ["w", "v + 17", "v + 58"], ["v", "e + 5", "e + 63"], ["e", 3, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"e": 3}, "is_reverse": true}} | 638 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 12; m = w + 12; g = y + 3; e = 3; z = g + 17; b = j + 3; a = z + 14; j = k + 18; t = e + 5; w = v + 17; v = e + 5; k = m + 8; c = t + 1. If e = 3, what is the resulting value of b?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 18 to b, which gives b = k + 21.\n2. Substitute k = m + 8 to b, which gives b = m + 29.\n3. Substitute m = w + 12 to b, which gives b = w + 41.\n4. Substitute w = v + 17 to b, which gives b = v + 58.\n5. Substitute v = e + 5 to b, which gives b = e + 63.\n6. Substitute e = 3 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 12; m = w + 12; g = y + 3; e = 3; z = g + 17; b = j + 3; a = z + 14; j = k + 18; t = e + 5; w = v + 17; v = e + 5; k = m + 8; c = t + 1. If e = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 14", "x": "m + 13", "d": "x + 3", "l": "d + 5", "a": "l + 1", "p": "a + 11", "j": "o + 8", "r": "j + 16", "u": "r + 8", "s": "u + 5", "c": "s + 9", "n": "c + 19", "o": 12}, "premises": {"o": 12}, "target": "p"}, "answer": {"steps": [["m", "o + 14", 26], ["x", "m + 13", 39], ["d", "x + 3", 42], ["l", "d + 5", 47], ["a", "l + 1", 48], ["p", "a + 11", 59]], "target_var_name": "p", "target_value": 59, "value_dict": {"o": 12, "m": 26, "x": 39, "d": 42, "l": 47, "a": 48, "p": 59}, "is_reverse": false}} | 639 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 16; c = s + 9; s = u + 5; u = r + 8; m = o + 14; p = a + 11; d = x + 3; x = m + 13; n = c + 19; a = l + 1; o = 12; l = d + 5; j = o + 8. If o = 12, what is the resulting value of p?",
"role": "user"... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = o + 14, which gives m = 26.\n2. Compute x using x = m + 13, which gives x = 39.\n3. Compute d using d = x + 3, which gives d = 42.\n4. Compute l using l = d + 5, which gives l = 47.\n5. Compute a using a = l + 1, which gives a = 48.\n6. Compute p using p = a + 11, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 639,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 16; c = s + 9; s = u + 5; u = r + 8; m = o + 14; p = a + 11; d = x + 3; x = m + 13; n = c + 19; a = l + 1; o = 12; l = d + 5; j = o + 8. If o = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 12", "v": "j + 3", "n": "v + 5", "b": "n + 16", "y": "b + 19", "m": "y + 19", "i": "p + 7", "k": "i + 2", "s": "k + 16", "d": "s + 15", "f": "d + 20", "e": "f + 14", "p": 7}, "premises": {"p": 7}, "target": "m"}, "answer": {"steps": [["j", "p + 12", 19], ["v", "j + 3", 22], ["n", "v + 5", 27], ["b", "n + 16", 43], ["y", "b + 19", 62], ["m", "y + 19", 81]], "target_var_name": "m", "target_value": 81, "value_dict": {"p": 7, "j": 19, "v": 22, "n": 27, "b": 43, "y": 62, "m": 81}, "is_reverse": false}} | 640 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 5; y = b + 19; m = y + 19; s = k + 16; b = n + 16; f = d + 20; j = p + 12; p = 7; k = i + 2; e = f + 14; i = p + 7; v = j + 3; d = s + 15. If p = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = p + 12, which gives j = 19.\n2. Compute v using v = j + 3, which gives v = 22.\n3. Compute n using n = v + 5, which gives n = 27.\n4. Compute b using b = n + 16, which gives b = 43.\n5. Compute y using y = b + 19, which gives y = 62.\n6. Compute m using m = y + 19, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 640,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 5; y = b + 19; m = y + 19; s = k + 16; b = n + 16; f = d + 20; j = p + 12; p = 7; k = i + 2; e = f + 14; i = p + 7; v = j + 3; d = s + 15. If p = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 11", "r": "d + 10", "w": "r + 6", "p": "w + 7", "x": "p + 18", "g": "x + 3", "o": "z + 6", "y": "o + 8", "h": "y + 5", "q": "h + 2", "i": "q + 10", "b": "i + 11", "z": 1}, "premises": {"z": 1}, "target": "g"}, "answer": {"steps": [["d", "z + 11", 12], ["r", "d + 10", 22], ["w", "r + 6", 28], ["p", "w + 7", 35], ["x", "p + 18", 53], ["g", "x + 3", 56]], "target_var_name": "g", "target_value": 56, "value_dict": {"z": 1, "d": 12, "r": 22, "w": 28, "p": 35, "x": 53, "g": 56}, "is_reverse": false}} | 641 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 8; h = y + 5; o = z + 6; d = z + 11; x = p + 18; b = i + 11; r = d + 10; g = x + 3; z = 1; p = w + 7; i = q + 10; q = h + 2; w = r + 6. If z = 1, what is the resulting value of g?",
"role": "user"
... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = z + 11, which gives d = 12.\n2. Compute r using r = d + 10, which gives r = 22.\n3. Compute w using w = r + 6, which gives w = 28.\n4. Compute p using p = w + 7, which gives p = 35.\n5. Compute x using x = p + 18, which gives x = 53.\n6. Compute g using g = x + 3, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 8; h = y + 5; o = z + 6; d = z + 11; x = p + 18; b = i + 11; r = d + 10; g = x + 3; z = 1; p = w + 7; i = q + 10; q = h + 2; w = r + 6. If z = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 1", "f": "e + 11", "r": "f + 1", "c": "r + 18", "u": "c + 8", "v": "u + 17", "s": "h + 3", "d": "s + 1", "k": "d + 5", "y": "k + 20", "i": "y + 16", "o": "i + 13", "h": 15}, "premises": {"h": 15}, "target": "v"}, "answer": {"steps": [["u", "c + 8", "c + 25"], ["c", "r + 18", "r + 43"], ["r", "f + 1", "f + 44"], ["f", "e + 11", "e + 55"], ["e", "h + 1", "h + 56"], ["h", 15, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"h": 15}, "is_reverse": true}} | 642 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 15; u = c + 8; v = u + 17; f = e + 11; e = h + 1; d = s + 1; o = i + 13; c = r + 18; y = k + 20; r = f + 1; k = d + 5; i = y + 16; s = h + 3. Given that h = 15, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 8 to v, which gives v = c + 25.\n2. Substitute c = r + 18 to v, which gives v = r + 43.\n3. Substitute r = f + 1 to v, which gives v = f + 44.\n4. Substitute f = e + 11 to v, which gives v = e + 55.\n5. Substitute e = h + 1 to v, which gives v = h + 56.\n6. Substitute h = 15 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 642,
"question": "Suppose a collection of variables is related by the following definitions: h = 15; u = c + 8; v = u + 17; f = e + 11; e = h + 1; d = s + 1; o = i + 13; c = r + 18; y = k + 20; r = f + 1; k = d + 5; i = y + 16; s = h + 3. Given that h = 15, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 16", "o": "x + 18", "j": "o + 20", "c": "j + 11", "q": "c + 17", "g": "q + 14", "p": "i + 13", "a": "p + 1", "t": "a + 12", "f": "t + 6", "z": "f + 14", "y": "z + 18", "i": 3}, "premises": {"i": 3}, "target": "g"}, "answer": {"steps": [["x", "i + 16", 19], ["o", "x + 18", 37], ["j", "o + 20", 57], ["c", "j + 11", 68], ["q", "c + 17", 85], ["g", "q + 14", 99]], "target_var_name": "g", "target_value": 99, "value_dict": {"i": 3, "x": 19, "o": 37, "j": 57, "c": 68, "q": 85, "g": 99}, "is_reverse": false}} | 643 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 14; i = 3; a = p + 1; f = t + 6; t = a + 12; c = j + 11; p = i + 13; j = o + 20; x = i + 16; g = q + 14; y = z + 18; q = c + 17; o = x + 18. If i = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = i + 16, which gives x = 19.\n2. Compute o using o = x + 18, which gives o = 37.\n3. Compute j using j = o + 20, which gives j = 57.\n4. Compute c using c = j + 11, which gives c = 68.\n5. Compute q using q = c + 17, which gives q = 85.\n6. Compute g using g = q + 14, which gives g = 99.\n\nThus, the final answer is g = \\boxed{99}.",
"index": 643,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 14; i = 3; a = p + 1; f = t + 6; t = a + 12; c = j + 11; p = i + 13; j = o + 20; x = i + 16; g = q + 14; y = z + 18; q = c + 17; o = x + 18. If i = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 19", "m": "z + 19", "o": "m + 15", "w": "o + 18", "q": "w + 19", "j": "q + 9", "c": "b + 8", "t": "c + 1", "x": "t + 14", "y": "x + 15", "s": "y + 10", "n": "s + 4", "b": 20}, "premises": {"b": 20}, "target": "j"}, "answer": {"steps": [["z", "b + 19", 39], ["m", "z + 19", 58], ["o", "m + 15", 73], ["w", "o + 18", 91], ["q", "w + 19", 110], ["j", "q + 9", 119]], "target_var_name": "j", "target_value": 119, "value_dict": {"b": 20, "z": 39, "m": 58, "o": 73, "w": 91, "q": 110, "j": 119}, "is_reverse": false}} | 644 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 15; n = s + 4; s = y + 10; q = w + 19; b = 20; y = x + 15; w = o + 18; z = b + 19; x = t + 14; c = b + 8; m = z + 19; j = q + 9; t = c + 1. Given that b = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 119,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = b + 19, which gives z = 39.\n2. Compute m using m = z + 19, which gives m = 58.\n3. Compute o using o = m + 15, which gives o = 73.\n4. Compute w using w = o + 18, which gives w = 91.\n5. Compute q using q = w + 19, which gives q = 110.\n6. Compute j using j = q + 9, which gives j = 119.\n\nThus, the final answer is j = \\boxed{119}.",
"index": 644,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 15; n = s + 4; s = y + 10; q = w + 19; b = 20; y = x + 15; w = o + 18; z = b + 19; x = t + 14; c = b + 8; m = z + 19; j = q + 9; t = c + 1. Given that b = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 5", "j": "r + 10", "z": "j + 19", "m": "z + 7", "l": "m + 19", "d": "l + 1", "i": "w + 17", "b": "i + 7", "y": "b + 16", "f": "y + 12", "e": "f + 19", "n": "e + 17", "w": 8}, "premises": {"w": 8}, "target": "d"}, "answer": {"steps": [["r", "w + 5", 13], ["j", "r + 10", 23], ["z", "j + 19", 42], ["m", "z + 7", 49], ["l", "m + 19", 68], ["d", "l + 1", 69]], "target_var_name": "d", "target_value": 69, "value_dict": {"w": 8, "r": 13, "j": 23, "z": 42, "m": 49, "l": 68, "d": 69}, "is_reverse": false}} | 645 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = e + 17; j = r + 10; e = f + 19; w = 8; f = y + 12; y = b + 16; z = j + 19; d = l + 1; b = i + 7; r = w + 5; m = z + 7; l = m + 19; i = w + 17. Given that w = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = w + 5, which gives r = 13.\n2. Compute j using j = r + 10, which gives j = 23.\n3. Compute z using z = j + 19, which gives z = 42.\n4. Compute m using m = z + 7, which gives m = 49.\n5. Compute l using l = m + 19, which gives l = 68.\n6. Compute d using d = l + 1, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 645,
"question": "Suppose a collection of variables is related by the following definitions: n = e + 17; j = r + 10; e = f + 19; w = 8; f = y + 12; y = b + 16; z = j + 19; d = l + 1; b = i + 7; r = w + 5; m = z + 7; l = m + 19; i = w + 17. Given that w = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 16", "f": "s + 5", "p": "f + 9", "j": "p + 10", "m": "j + 15", "i": "m + 14", "q": "w + 5", "z": "q + 8", "u": "z + 4", "a": "u + 9", "b": "a + 4", "o": "b + 12", "w": 17}, "premises": {"w": 17}, "target": "i"}, "answer": {"steps": [["m", "j + 15", "j + 29"], ["j", "p + 10", "p + 39"], ["p", "f + 9", "f + 48"], ["f", "s + 5", "s + 53"], ["s", "w + 16", "w + 69"], ["w", 17, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"w": 17}, "is_reverse": true}} | 646 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = j + 15; b = a + 4; w = 17; o = b + 12; p = f + 9; j = p + 10; z = q + 8; i = m + 14; f = s + 5; q = w + 5; u = z + 4; a = u + 9; s = w + 16. If w = 17, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 15 to i, which gives i = j + 29.\n2. Substitute j = p + 10 to i, which gives i = p + 39.\n3. Substitute p = f + 9 to i, which gives i = f + 48.\n4. Substitute f = s + 5 to i, which gives i = s + 53.\n5. Substitute s = w + 16 to i, which gives i = w + 69.\n6. Substitute w = 17 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 646,
"question": "Consider a system of variables where each variable is defined as follows: m = j + 15; b = a + 4; w = 17; o = b + 12; p = f + 9; j = p + 10; z = q + 8; i = m + 14; f = s + 5; q = w + 5; u = z + 4; a = u + 9; s = w + 16. If w = 17, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 9", "i": "w + 17", "x": "i + 5", "e": "x + 5", "g": "e + 3", "h": "g + 20", "u": "j + 19", "s": "u + 6", "p": "s + 19", "t": "p + 11", "d": "t + 7", "o": "d + 12", "j": 6}, "premises": {"j": 6}, "target": "h"}, "answer": {"steps": [["g", "e + 3", "e + 23"], ["e", "x + 5", "x + 28"], ["x", "i + 5", "i + 33"], ["i", "w + 17", "w + 50"], ["w", "j + 9", "j + 59"], ["j", 6, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"j": 6}, "is_reverse": true}} | 647 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 20; j = 6; d = t + 7; w = j + 9; i = w + 17; e = x + 5; o = d + 12; x = i + 5; t = p + 11; g = e + 3; p = s + 19; s = u + 6; u = j + 19. If j = 6, determine the 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 g = e + 3 to h, which gives h = e + 23.\n2. Substitute e = x + 5 to h, which gives h = x + 28.\n3. Substitute x = i + 5 to h, which gives h = i + 33.\n4. Substitute i = w + 17 to h, which gives h = w + 50.\n5. Substitute w = j + 9 to h, which gives h = j + 59.\n6. Substitute j = 6 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 647,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 20; j = 6; d = t + 7; w = j + 9; i = w + 17; e = x + 5; o = d + 12; x = i + 5; t = p + 11; g = e + 3; p = s + 19; s = u + 6; u = j + 19. If j = 6, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 13", "x": "h + 12", "q": "x + 4", "i": "q + 10", "v": "i + 11", "p": "v + 16", "a": "n + 4", "t": "a + 9", "r": "t + 15", "z": "r + 9", "f": "z + 20", "u": "f + 4", "n": 7}, "premises": {"n": 7}, "target": "p"}, "answer": {"steps": [["v", "i + 11", "i + 27"], ["i", "q + 10", "q + 37"], ["q", "x + 4", "x + 41"], ["x", "h + 12", "h + 53"], ["h", "n + 13", "n + 66"], ["n", 7, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"n": 7}, "is_reverse": true}} | 648 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 9; q = x + 4; f = z + 20; p = v + 16; z = r + 9; r = t + 15; a = n + 4; i = q + 10; u = f + 4; h = n + 13; x = h + 12; v = i + 11; n = 7. If n = 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 v = i + 11 to p, which gives p = i + 27.\n2. Substitute i = q + 10 to p, which gives p = q + 37.\n3. Substitute q = x + 4 to p, which gives p = x + 41.\n4. Substitute x = h + 12 to p, which gives p = h + 53.\n5. Substitute h = n + 13 to p, which gives p = n + 66.\n6. Substitute n = 7 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 648,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 9; q = x + 4; f = z + 20; p = v + 16; z = r + 9; r = t + 15; a = n + 4; i = q + 10; u = f + 4; h = n + 13; x = h + 12; v = i + 11; n = 7. If n = 7, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 9", "m": "l + 12", "a": "m + 15", "k": "a + 17", "o": "k + 12", "x": "o + 7", "q": "t + 6", "s": "q + 5", "b": "s + 19", "h": "b + 7", "e": "h + 10", "u": "e + 20", "t": 18}, "premises": {"t": 18}, "target": "x"}, "answer": {"steps": [["o", "k + 12", "k + 19"], ["k", "a + 17", "a + 36"], ["a", "m + 15", "m + 51"], ["m", "l + 12", "l + 63"], ["l", "t + 9", "t + 72"], ["t", 18, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"t": 18}, "is_reverse": true}} | 649 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 10; u = e + 20; q = t + 6; o = k + 12; m = l + 12; l = t + 9; s = q + 5; h = b + 7; x = o + 7; b = s + 19; a = m + 15; t = 18; k = a + 17. Given that t = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 12 to x, which gives x = k + 19.\n2. Substitute k = a + 17 to x, which gives x = a + 36.\n3. Substitute a = m + 15 to x, which gives x = m + 51.\n4. Substitute m = l + 12 to x, which gives x = l + 63.\n5. Substitute l = t + 9 to x, which gives x = t + 72.\n6. Substitute t = 18 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 649,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 10; u = e + 20; q = t + 6; o = k + 12; m = l + 12; l = t + 9; s = q + 5; h = b + 7; x = o + 7; b = s + 19; a = m + 15; t = 18; k = a + 17. Given that t = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 2", "k": "t + 10", "n": "k + 2", "f": "n + 20", "a": "f + 6", "y": "a + 6", "c": "h + 16", "o": "c + 16", "m": "o + 20", "w": "m + 8", "u": "w + 4", "i": "u + 17", "h": 10}, "premises": {"h": 10}, "target": "y"}, "answer": {"steps": [["t", "h + 2", 12], ["k", "t + 10", 22], ["n", "k + 2", 24], ["f", "n + 20", 44], ["a", "f + 6", 50], ["y", "a + 6", 56]], "target_var_name": "y", "target_value": 56, "value_dict": {"h": 10, "t": 12, "k": 22, "n": 24, "f": 44, "a": 50, "y": 56}, "is_reverse": false}} | 650 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 10; t = h + 2; h = 10; a = f + 6; n = k + 2; f = n + 20; c = h + 16; m = o + 20; o = c + 16; w = m + 8; i = u + 17; y = a + 6; u = w + 4. If h = 10, what is the resulting value of y?",
"role": "user... | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = h + 2, which gives t = 12.\n2. Compute k using k = t + 10, which gives k = 22.\n3. Compute n using n = k + 2, which gives n = 24.\n4. Compute f using f = n + 20, which gives f = 44.\n5. Compute a using a = f + 6, which gives a = 50.\n6. Compute y using y = a + 6, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 650,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 10; t = h + 2; h = 10; a = f + 6; n = k + 2; f = n + 20; c = h + 16; m = o + 20; o = c + 16; w = m + 8; i = u + 17; y = a + 6; u = w + 4. If h = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 3", "d": "s + 17", "c": "d + 13", "a": "c + 7", "w": "a + 1", "m": "w + 9", "q": "j + 5", "f": "q + 7", "u": "f + 17", "g": "u + 1", "r": "g + 3", "k": "r + 7", "j": 3}, "premises": {"j": 3}, "target": "m"}, "answer": {"steps": [["w", "a + 1", "a + 10"], ["a", "c + 7", "c + 17"], ["c", "d + 13", "d + 30"], ["d", "s + 17", "s + 47"], ["s", "j + 3", "j + 50"], ["j", 3, "53"]], "target_var_name": "m", "target_value": 53, "value_dict": {"j": 3}, "is_reverse": true}} | 651 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 7; w = a + 1; j = 3; m = w + 9; f = q + 7; a = c + 7; g = u + 1; d = s + 17; c = d + 13; r = g + 3; u = f + 17; q = j + 5; s = j + 3. If j = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 1 to m, which gives m = a + 10.\n2. Substitute a = c + 7 to m, which gives m = c + 17.\n3. Substitute c = d + 13 to m, which gives m = d + 30.\n4. Substitute d = s + 17 to m, which gives m = s + 47.\n5. Substitute s = j + 3 to m, which gives m = j + 50.\n6. Substitute j = 3 to m, which gives m = 53.\n\nThus, the final answer is m = \\boxed{53}.",
"index": 651,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 7; w = a + 1; j = 3; m = w + 9; f = q + 7; a = c + 7; g = u + 1; d = s + 17; c = d + 13; r = g + 3; u = f + 17; q = j + 5; s = j + 3. If j = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 16", "e": "a + 19", "h": "e + 3", "d": "h + 20", "t": "d + 16", "u": "t + 19", "l": "b + 6", "w": "l + 16", "c": "w + 11", "f": "c + 8", "q": "f + 8", "i": "q + 1", "b": 15}, "premises": {"b": 15}, "target": "u"}, "answer": {"steps": [["t", "d + 16", "d + 35"], ["d", "h + 20", "h + 55"], ["h", "e + 3", "e + 58"], ["e", "a + 19", "a + 77"], ["a", "b + 16", "b + 93"], ["b", 15, "108"]], "target_var_name": "u", "target_value": 108, "value_dict": {"b": 15}, "is_reverse": true}} | 652 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 20; l = b + 6; u = t + 19; b = 15; e = a + 19; q = f + 8; i = q + 1; t = d + 16; h = e + 3; f = c + 8; w = l + 16; c = w + 11; a = b + 16. If b = 15, what is the resulting value of u?",
"role": "use... | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 16 to u, which gives u = d + 35.\n2. Substitute d = h + 20 to u, which gives u = h + 55.\n3. Substitute h = e + 3 to u, which gives u = e + 58.\n4. Substitute e = a + 19 to u, which gives u = a + 77.\n5. Substitute a = b + 16 to u, which gives u = b + 93.\n6. Substitute b = 15 to u, which gives u = 108.\n\nThus, the final answer is u = \\boxed{108}.",
"index": 652,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 20; l = b + 6; u = t + 19; b = 15; e = a + 19; q = f + 8; i = q + 1; t = d + 16; h = e + 3; f = c + 8; w = l + 16; c = w + 11; a = b + 16. If b = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 19", "s": "t + 11", "p": "s + 1", "x": "p + 15", "i": "x + 4", "g": "i + 3", "c": "w + 17", "k": "c + 19", "y": "k + 19", "u": "y + 6", "a": "u + 10", "m": "a + 15", "w": 2}, "premises": {"w": 2}, "target": "g"}, "answer": {"steps": [["i", "x + 4", "x + 7"], ["x", "p + 15", "p + 22"], ["p", "s + 1", "s + 23"], ["s", "t + 11", "t + 34"], ["t", "w + 19", "w + 53"], ["w", 2, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"w": 2}, "is_reverse": true}} | 653 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = 2; a = u + 10; t = w + 19; i = x + 4; c = w + 17; k = c + 19; u = y + 6; p = s + 1; y = k + 19; m = a + 15; g = i + 3; s = t + 11; x = p + 15. Given that w = 2, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 4 to g, which gives g = x + 7.\n2. Substitute x = p + 15 to g, which gives g = p + 22.\n3. Substitute p = s + 1 to g, which gives g = s + 23.\n4. Substitute s = t + 11 to g, which gives g = t + 34.\n5. Substitute t = w + 19 to g, which gives g = w + 53.\n6. Substitute w = 2 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 653,
"question": "Suppose a collection of variables is related by the following definitions: w = 2; a = u + 10; t = w + 19; i = x + 4; c = w + 17; k = c + 19; u = y + 6; p = s + 1; y = k + 19; m = a + 15; g = i + 3; s = t + 11; x = p + 15. Given that w = 2, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 9", "l": "x + 3", "d": "l + 16", "m": "d + 2", "u": "m + 18", "k": "u + 10", "p": "o + 10", "s": "p + 15", "a": "s + 18", "e": "a + 13", "t": "e + 4", "c": "t + 9", "o": 18}, "premises": {"o": 18}, "target": "k"}, "answer": {"steps": [["x", "o + 9", 27], ["l", "x + 3", 30], ["d", "l + 16", 46], ["m", "d + 2", 48], ["u", "m + 18", 66], ["k", "u + 10", 76]], "target_var_name": "k", "target_value": 76, "value_dict": {"o": 18, "x": 27, "l": 30, "d": 46, "m": 48, "u": 66, "k": 76}, "is_reverse": false}} | 654 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 10; o = 18; u = m + 18; c = t + 9; e = a + 13; t = e + 4; d = l + 16; a = s + 18; x = o + 9; k = u + 10; m = d + 2; s = p + 15; l = x + 3. If o = 18, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = o + 9, which gives x = 27.\n2. Compute l using l = x + 3, which gives l = 30.\n3. Compute d using d = l + 16, which gives d = 46.\n4. Compute m using m = d + 2, which gives m = 48.\n5. Compute u using u = m + 18, which gives u = 66.\n6. Compute k using k = u + 10, which gives k = 76.\n\nThus, the final answer is k = \\boxed{76}.",
"index": 654,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 10; o = 18; u = m + 18; c = t + 9; e = a + 13; t = e + 4; d = l + 16; a = s + 18; x = o + 9; k = u + 10; m = d + 2; s = p + 15; l = x + 3. If o = 18, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 6", "a": "b + 14", "d": "a + 15", "z": "d + 19", "h": "z + 3", "c": "h + 4", "f": "k + 19", "s": "f + 1", "g": "s + 14", "x": "g + 9", "q": "x + 10", "e": "q + 1", "k": 17}, "premises": {"k": 17}, "target": "c"}, "answer": {"steps": [["h", "z + 3", "z + 7"], ["z", "d + 19", "d + 26"], ["d", "a + 15", "a + 41"], ["a", "b + 14", "b + 55"], ["b", "k + 6", "k + 61"], ["k", 17, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"k": 17}, "is_reverse": true}} | 655 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 19; s = f + 1; e = q + 1; q = x + 10; d = a + 15; k = 17; g = s + 14; b = k + 6; a = b + 14; h = z + 3; c = h + 4; x = g + 9; f = k + 19. Given that k = 17, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 3 to c, which gives c = z + 7.\n2. Substitute z = d + 19 to c, which gives c = d + 26.\n3. Substitute d = a + 15 to c, which gives c = a + 41.\n4. Substitute a = b + 14 to c, which gives c = b + 55.\n5. Substitute b = k + 6 to c, which gives c = k + 61.\n6. Substitute k = 17 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 655,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 19; s = f + 1; e = q + 1; q = x + 10; d = a + 15; k = 17; g = s + 14; b = k + 6; a = b + 14; h = z + 3; c = h + 4; x = g + 9; f = k + 19. Given that k = 17, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 7", "q": "u + 7", "h": "q + 17", "c": "h + 11", "f": "c + 16", "s": "f + 1", "m": "j + 1", "b": "m + 13", "v": "b + 14", "z": "v + 14", "r": "z + 17", "i": "r + 12", "j": 16}, "premises": {"j": 16}, "target": "s"}, "answer": {"steps": [["f", "c + 16", "c + 17"], ["c", "h + 11", "h + 28"], ["h", "q + 17", "q + 45"], ["q", "u + 7", "u + 52"], ["u", "j + 7", "j + 59"], ["j", 16, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"j": 16}, "is_reverse": true}} | 656 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 17; b = m + 13; f = c + 16; z = v + 14; v = b + 14; u = j + 7; r = z + 17; i = r + 12; s = f + 1; j = 16; q = u + 7; m = j + 1; c = h + 11. If j = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 16 to s, which gives s = c + 17.\n2. Substitute c = h + 11 to s, which gives s = h + 28.\n3. Substitute h = q + 17 to s, which gives s = q + 45.\n4. Substitute q = u + 7 to s, which gives s = u + 52.\n5. Substitute u = j + 7 to s, which gives s = j + 59.\n6. Substitute j = 16 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 656,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 17; b = m + 13; f = c + 16; z = v + 14; v = b + 14; u = j + 7; r = z + 17; i = r + 12; s = f + 1; j = 16; q = u + 7; m = j + 1; c = h + 11. If j = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 20", "k": "s + 16", "h": "k + 18", "t": "h + 18", "w": "t + 3", "o": "w + 18", "m": "e + 7", "p": "m + 6", "f": "p + 1", "z": "f + 12", "d": "z + 4", "y": "d + 7", "e": 11}, "premises": {"e": 11}, "target": "o"}, "answer": {"steps": [["w", "t + 3", "t + 21"], ["t", "h + 18", "h + 39"], ["h", "k + 18", "k + 57"], ["k", "s + 16", "s + 73"], ["s", "e + 20", "e + 93"], ["e", 11, "104"]], "target_var_name": "o", "target_value": 104, "value_dict": {"e": 11}, "is_reverse": true}} | 657 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = p + 1; z = f + 12; k = s + 16; s = e + 20; o = w + 18; d = z + 4; w = t + 3; m = e + 7; h = k + 18; y = d + 7; t = h + 18; e = 11; p = m + 6. Given that e = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 3 to o, which gives o = t + 21.\n2. Substitute t = h + 18 to o, which gives o = h + 39.\n3. Substitute h = k + 18 to o, which gives o = k + 57.\n4. Substitute k = s + 16 to o, which gives o = s + 73.\n5. Substitute s = e + 20 to o, which gives o = e + 93.\n6. Substitute e = 11 to o, which gives o = 104.\n\nThus, the final answer is o = \\boxed{104}.",
"index": 657,
"question": "Suppose a collection of variables is related by the following definitions: f = p + 1; z = f + 12; k = s + 16; s = e + 20; o = w + 18; d = z + 4; w = t + 3; m = e + 7; h = k + 18; y = d + 7; t = h + 18; e = 11; p = m + 6. Given that e = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 10", "i": "c + 9", "w": "i + 3", "r": "w + 18", "p": "r + 16", "x": "p + 20", "d": "b + 1", "t": "d + 17", "f": "t + 5", "n": "f + 17", "q": "n + 9", "y": "q + 2", "b": 19}, "premises": {"b": 19}, "target": "x"}, "answer": {"steps": [["c", "b + 10", 29], ["i", "c + 9", 38], ["w", "i + 3", 41], ["r", "w + 18", 59], ["p", "r + 16", 75], ["x", "p + 20", 95]], "target_var_name": "x", "target_value": 95, "value_dict": {"b": 19, "c": 29, "i": 38, "w": 41, "r": 59, "p": 75, "x": 95}, "is_reverse": false}} | 658 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 3; b = 19; x = p + 20; i = c + 9; c = b + 10; t = d + 17; q = n + 9; f = t + 5; n = f + 17; y = q + 2; r = w + 18; d = b + 1; p = r + 16. If b = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = b + 10, which gives c = 29.\n2. Compute i using i = c + 9, which gives i = 38.\n3. Compute w using w = i + 3, which gives w = 41.\n4. Compute r using r = w + 18, which gives r = 59.\n5. Compute p using p = r + 16, which gives p = 75.\n6. Compute x using x = p + 20, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 658,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 3; b = 19; x = p + 20; i = c + 9; c = b + 10; t = d + 17; q = n + 9; f = t + 5; n = f + 17; y = q + 2; r = w + 18; d = b + 1; p = r + 16. If b = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 1", "t": "d + 18", "q": "t + 13", "m": "q + 3", "k": "m + 2", "b": "k + 7", "e": "h + 17", "r": "e + 20", "x": "r + 7", "p": "x + 11", "g": "p + 2", "i": "g + 6", "h": 11}, "premises": {"h": 11}, "target": "b"}, "answer": {"steps": [["k", "m + 2", "m + 9"], ["m", "q + 3", "q + 12"], ["q", "t + 13", "t + 25"], ["t", "d + 18", "d + 43"], ["d", "h + 1", "h + 44"], ["h", 11, "55"]], "target_var_name": "b", "target_value": 55, "value_dict": {"h": 11}, "is_reverse": true}} | 659 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 11; g = p + 2; r = e + 20; x = r + 7; t = d + 18; q = t + 13; m = q + 3; e = h + 17; d = h + 1; b = k + 7; i = g + 6; k = m + 2; p = x + 11. If h = 11, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 2 to b, which gives b = m + 9.\n2. Substitute m = q + 3 to b, which gives b = q + 12.\n3. Substitute q = t + 13 to b, which gives b = t + 25.\n4. Substitute t = d + 18 to b, which gives b = d + 43.\n5. Substitute d = h + 1 to b, which gives b = h + 44.\n6. Substitute h = 11 to b, which gives b = 55.\n\nThus, the final answer is b = \\boxed{55}.",
"index": 659,
"question": "Consider a system of variables where each variable is defined as follows: h = 11; g = p + 2; r = e + 20; x = r + 7; t = d + 18; q = t + 13; m = q + 3; e = h + 17; d = h + 1; b = k + 7; i = g + 6; k = m + 2; p = x + 11. If h = 11, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 17", "r": "m + 4", "d": "r + 9", "y": "d + 11", "o": "y + 1", "z": "o + 17", "c": "n + 3", "i": "c + 3", "k": "i + 16", "g": "k + 3", "p": "g + 10", "j": "p + 3", "n": 13}, "premises": {"n": 13}, "target": "z"}, "answer": {"steps": [["m", "n + 17", 30], ["r", "m + 4", 34], ["d", "r + 9", 43], ["y", "d + 11", 54], ["o", "y + 1", 55], ["z", "o + 17", 72]], "target_var_name": "z", "target_value": 72, "value_dict": {"n": 13, "m": 30, "r": 34, "d": 43, "y": 54, "o": 55, "z": 72}, "is_reverse": false}} | 660 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 17; o = y + 1; n = 13; k = i + 16; d = r + 9; g = k + 3; j = p + 3; r = m + 4; y = d + 11; z = o + 17; i = c + 3; c = n + 3; p = g + 10. Given that n = 13, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = n + 17, which gives m = 30.\n2. Compute r using r = m + 4, which gives r = 34.\n3. Compute d using d = r + 9, which gives d = 43.\n4. Compute y using y = d + 11, which gives y = 54.\n5. Compute o using o = y + 1, which gives o = 55.\n6. Compute z using z = o + 17, which gives z = 72.\n\nThus, the final answer is z = \\boxed{72}.",
"index": 660,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 17; o = y + 1; n = 13; k = i + 16; d = r + 9; g = k + 3; j = p + 3; r = m + 4; y = d + 11; z = o + 17; i = c + 3; c = n + 3; p = g + 10. Given that n = 13, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 20", "e": "p + 7", "o": "e + 1", "y": "o + 16", "z": "y + 3", "n": "z + 6", "w": "u + 6", "j": "w + 19", "f": "j + 1", "k": "f + 1", "s": "k + 18", "c": "s + 11", "u": 1}, "premises": {"u": 1}, "target": "n"}, "answer": {"steps": [["z", "y + 3", "y + 9"], ["y", "o + 16", "o + 25"], ["o", "e + 1", "e + 26"], ["e", "p + 7", "p + 33"], ["p", "u + 20", "u + 53"], ["u", 1, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"u": 1}, "is_reverse": true}} | 661 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 1; n = z + 6; c = s + 11; y = o + 16; k = f + 1; e = p + 7; u = 1; j = w + 19; p = u + 20; z = y + 3; w = u + 6; s = k + 18; o = e + 1. Given that u = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 3 to n, which gives n = y + 9.\n2. Substitute y = o + 16 to n, which gives n = o + 25.\n3. Substitute o = e + 1 to n, which gives n = e + 26.\n4. Substitute e = p + 7 to n, which gives n = p + 33.\n5. Substitute p = u + 20 to n, which gives n = u + 53.\n6. Substitute u = 1 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 661,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 1; n = z + 6; c = s + 11; y = o + 16; k = f + 1; e = p + 7; u = 1; j = w + 19; p = u + 20; z = y + 3; w = u + 6; s = k + 18; o = e + 1. Given that u = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 10", "v": "r + 4", "u": "v + 12", "j": "u + 13", "k": "j + 1", "l": "k + 15", "m": "h + 8", "p": "m + 8", "a": "p + 2", "t": "a + 9", "i": "t + 6", "f": "i + 1", "h": 14}, "premises": {"h": 14}, "target": "l"}, "answer": {"steps": [["k", "j + 1", "j + 16"], ["j", "u + 13", "u + 29"], ["u", "v + 12", "v + 41"], ["v", "r + 4", "r + 45"], ["r", "h + 10", "h + 55"], ["h", 14, "69"]], "target_var_name": "l", "target_value": 69, "value_dict": {"h": 14}, "is_reverse": true}} | 662 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 4; j = u + 13; k = j + 1; l = k + 15; u = v + 12; a = p + 2; h = 14; p = m + 8; r = h + 10; f = i + 1; i = t + 6; m = h + 8; t = a + 9. If h = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 1 to l, which gives l = j + 16.\n2. Substitute j = u + 13 to l, which gives l = u + 29.\n3. Substitute u = v + 12 to l, which gives l = v + 41.\n4. Substitute v = r + 4 to l, which gives l = r + 45.\n5. Substitute r = h + 10 to l, which gives l = h + 55.\n6. Substitute h = 14 to l, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 662,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 4; j = u + 13; k = j + 1; l = k + 15; u = v + 12; a = p + 2; h = 14; p = m + 8; r = h + 10; f = i + 1; i = t + 6; m = h + 8; t = a + 9. If h = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 10", "a": "u + 20", "i": "a + 1", "f": "i + 11", "y": "f + 10", "b": "y + 13", "d": "p + 14", "m": "d + 2", "l": "m + 11", "r": "l + 17", "z": "r + 9", "k": "z + 10", "p": 4}, "premises": {"p": 4}, "target": "b"}, "answer": {"steps": [["u", "p + 10", 14], ["a", "u + 20", 34], ["i", "a + 1", 35], ["f", "i + 11", 46], ["y", "f + 10", 56], ["b", "y + 13", 69]], "target_var_name": "b", "target_value": 69, "value_dict": {"p": 4, "u": 14, "a": 34, "i": 35, "f": 46, "y": 56, "b": 69}, "is_reverse": false}} | 663 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 11; b = y + 13; k = z + 10; l = m + 11; a = u + 20; u = p + 10; d = p + 14; y = f + 10; i = a + 1; m = d + 2; r = l + 17; p = 4; z = r + 9. If p = 4, what is the resulting value of b?",
"role": "use... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = p + 10, which gives u = 14.\n2. Compute a using a = u + 20, which gives a = 34.\n3. Compute i using i = a + 1, which gives i = 35.\n4. Compute f using f = i + 11, which gives f = 46.\n5. Compute y using y = f + 10, which gives y = 56.\n6. Compute b using b = y + 13, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 663,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 11; b = y + 13; k = z + 10; l = m + 11; a = u + 20; u = p + 10; d = p + 14; y = f + 10; i = a + 1; m = d + 2; r = l + 17; p = 4; z = r + 9. If p = 4, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 20", "t": "d + 20", "u": "t + 7", "x": "u + 16", "y": "x + 12", "e": "y + 7", "c": "z + 20", "h": "c + 16", "j": "h + 7", "p": "j + 7", "g": "p + 15", "s": "g + 11", "z": 13}, "premises": {"z": 13}, "target": "e"}, "answer": {"steps": [["d", "z + 20", 33], ["t", "d + 20", 53], ["u", "t + 7", 60], ["x", "u + 16", 76], ["y", "x + 12", 88], ["e", "y + 7", 95]], "target_var_name": "e", "target_value": 95, "value_dict": {"z": 13, "d": 33, "t": 53, "u": 60, "x": 76, "y": 88, "e": 95}, "is_reverse": false}} | 664 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 12; d = z + 20; x = u + 16; j = h + 7; u = t + 7; z = 13; h = c + 16; c = z + 20; s = g + 11; t = d + 20; p = j + 7; e = y + 7; g = p + 15. Given that z = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = z + 20, which gives d = 33.\n2. Compute t using t = d + 20, which gives t = 53.\n3. Compute u using u = t + 7, which gives u = 60.\n4. Compute x using x = u + 16, which gives x = 76.\n5. Compute y using y = x + 12, which gives y = 88.\n6. Compute e using e = y + 7, which gives e = 95.\n\nThus, the final answer is e = \\boxed{95}.",
"index": 664,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 12; d = z + 20; x = u + 16; j = h + 7; u = t + 7; z = 13; h = c + 16; c = z + 20; s = g + 11; t = d + 20; p = j + 7; e = y + 7; g = p + 15. Given that z = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 19", "b": "x + 8", "d": "b + 8", "z": "d + 15", "w": "z + 14", "m": "w + 5", "r": "l + 1", "g": "r + 8", "o": "g + 1", "e": "o + 20", "k": "e + 9", "t": "k + 20", "l": 7}, "premises": {"l": 7}, "target": "m"}, "answer": {"steps": [["w", "z + 14", "z + 19"], ["z", "d + 15", "d + 34"], ["d", "b + 8", "b + 42"], ["b", "x + 8", "x + 50"], ["x", "l + 19", "l + 69"], ["l", 7, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"l": 7}, "is_reverse": true}} | 665 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 15; o = g + 1; d = b + 8; g = r + 8; w = z + 14; m = w + 5; r = l + 1; x = l + 19; l = 7; e = o + 20; b = x + 8; k = e + 9; t = k + 20. If l = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 14 to m, which gives m = z + 19.\n2. Substitute z = d + 15 to m, which gives m = d + 34.\n3. Substitute d = b + 8 to m, which gives m = b + 42.\n4. Substitute b = x + 8 to m, which gives m = x + 50.\n5. Substitute x = l + 19 to m, which gives m = l + 69.\n6. Substitute l = 7 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 665,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 15; o = g + 1; d = b + 8; g = r + 8; w = z + 14; m = w + 5; r = l + 1; x = l + 19; l = 7; e = o + 20; b = x + 8; k = e + 9; t = k + 20. If l = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 1", "n": "c + 7", "g": "n + 17", "s": "g + 11", "h": "s + 20", "w": "h + 13", "v": "k + 20", "x": "v + 7", "d": "x + 6", "a": "d + 1", "l": "a + 13", "z": "l + 19", "k": 10}, "premises": {"k": 10}, "target": "w"}, "answer": {"steps": [["h", "s + 20", "s + 33"], ["s", "g + 11", "g + 44"], ["g", "n + 17", "n + 61"], ["n", "c + 7", "c + 68"], ["c", "k + 1", "k + 69"], ["k", 10, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"k": 10}, "is_reverse": true}} | 666 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 6; z = l + 19; k = 10; a = d + 1; w = h + 13; x = v + 7; h = s + 20; n = c + 7; l = a + 13; v = k + 20; s = g + 11; g = n + 17; c = k + 1. If k = 10, what is the resulting value of w?",
"role": "use... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 20 to w, which gives w = s + 33.\n2. Substitute s = g + 11 to w, which gives w = g + 44.\n3. Substitute g = n + 17 to w, which gives w = n + 61.\n4. Substitute n = c + 7 to w, which gives w = c + 68.\n5. Substitute c = k + 1 to w, which gives w = k + 69.\n6. Substitute k = 10 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 666,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = x + 6; z = l + 19; k = 10; a = d + 1; w = h + 13; x = v + 7; h = s + 20; n = c + 7; l = a + 13; v = k + 20; s = g + 11; g = n + 17; c = k + 1. If k = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 1", "u": "k + 8", "c": "u + 4", "p": "c + 9", "n": "p + 12", "t": "n + 9", "g": "s + 8", "h": "g + 14", "m": "h + 7", "q": "m + 6", "v": "q + 9", "o": "v + 15", "s": 6}, "premises": {"s": 6}, "target": "t"}, "answer": {"steps": [["k", "s + 1", 7], ["u", "k + 8", 15], ["c", "u + 4", 19], ["p", "c + 9", 28], ["n", "p + 12", 40], ["t", "n + 9", 49]], "target_var_name": "t", "target_value": 49, "value_dict": {"s": 6, "k": 7, "u": 15, "c": 19, "p": 28, "n": 40, "t": 49}, "is_reverse": false}} | 667 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = u + 4; k = s + 1; t = n + 9; m = h + 7; v = q + 9; h = g + 14; u = k + 8; p = c + 9; n = p + 12; q = m + 6; g = s + 8; s = 6; o = v + 15. Given that s = 6, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = s + 1, which gives k = 7.\n2. Compute u using u = k + 8, which gives u = 15.\n3. Compute c using c = u + 4, which gives c = 19.\n4. Compute p using p = c + 9, which gives p = 28.\n5. Compute n using n = p + 12, which gives n = 40.\n6. Compute t using t = n + 9, which gives t = 49.\n\nThus, the final answer is t = \\boxed{49}.",
"index": 667,
"question": "Suppose a collection of variables is related by the following definitions: c = u + 4; k = s + 1; t = n + 9; m = h + 7; v = q + 9; h = g + 14; u = k + 8; p = c + 9; n = p + 12; q = m + 6; g = s + 8; s = 6; o = v + 15. Given that s = 6, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "y + 2", "t": "n + 10", "k": "t + 5", "f": "k + 11", "r": "f + 9", "g": "r + 7", "z": "y + 1", "v": "z + 7", "l": "v + 11", "h": "l + 18", "s": "h + 2", "b": "s + 17", "y": 8}, "premises": {"y": 8}, "target": "g"}, "answer": {"steps": [["r", "f + 9", "f + 16"], ["f", "k + 11", "k + 27"], ["k", "t + 5", "t + 32"], ["t", "n + 10", "n + 42"], ["n", "y + 2", "y + 44"], ["y", 8, "52"]], "target_var_name": "g", "target_value": 52, "value_dict": {"y": 8}, "is_reverse": true}} | 668 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = f + 9; g = r + 7; h = l + 18; l = v + 11; s = h + 2; v = z + 7; n = y + 2; f = k + 11; b = s + 17; z = y + 1; k = t + 5; y = 8; t = n + 10. If y = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 9 to g, which gives g = f + 16.\n2. Substitute f = k + 11 to g, which gives g = k + 27.\n3. Substitute k = t + 5 to g, which gives g = t + 32.\n4. Substitute t = n + 10 to g, which gives g = n + 42.\n5. Substitute n = y + 2 to g, which gives g = y + 44.\n6. Substitute y = 8 to g, which gives g = 52.\n\nThus, the final answer is g = \\boxed{52}.",
"index": 668,
"question": "Consider a system of variables where each variable is defined as follows: r = f + 9; g = r + 7; h = l + 18; l = v + 11; s = h + 2; v = z + 7; n = y + 2; f = k + 11; b = s + 17; z = y + 1; k = t + 5; y = 8; t = n + 10. If y = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 12", "u": "f + 6", "s": "u + 10", "t": "s + 16", "g": "t + 6", "k": "g + 3", "x": "e + 16", "b": "x + 12", "a": "b + 6", "d": "a + 18", "q": "d + 12", "r": "q + 5", "e": 6}, "premises": {"e": 6}, "target": "k"}, "answer": {"steps": [["f", "e + 12", 18], ["u", "f + 6", 24], ["s", "u + 10", 34], ["t", "s + 16", 50], ["g", "t + 6", 56], ["k", "g + 3", 59]], "target_var_name": "k", "target_value": 59, "value_dict": {"e": 6, "f": 18, "u": 24, "s": 34, "t": 50, "g": 56, "k": 59}, "is_reverse": false}} | 669 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = e + 16; e = 6; f = e + 12; k = g + 3; a = b + 6; r = q + 5; d = a + 18; s = u + 10; t = s + 16; u = f + 6; b = x + 12; g = t + 6; q = d + 12. Given that e = 6, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = e + 12, which gives f = 18.\n2. Compute u using u = f + 6, which gives u = 24.\n3. Compute s using s = u + 10, which gives s = 34.\n4. Compute t using t = s + 16, which gives t = 50.\n5. Compute g using g = t + 6, which gives g = 56.\n6. Compute k using k = g + 3, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 669,
"question": "Suppose a collection of variables is related by the following definitions: x = e + 16; e = 6; f = e + 12; k = g + 3; a = b + 6; r = q + 5; d = a + 18; s = u + 10; t = s + 16; u = f + 6; b = x + 12; g = t + 6; q = d + 12. Given that e = 6, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"o": "e + 11", "x": "o + 13", "y": "x + 10", "q": "y + 3", "p": "q + 3", "n": "p + 4", "r": "e + 13", "d": "r + 12", "k": "d + 5", "c": "k + 16", "z": "c + 4", "f": "z + 4", "e": 3}, "premises": {"e": 3}, "target": "n"}, "answer": {"steps": [["o", "e + 11", 14], ["x", "o + 13", 27], ["y", "x + 10", 37], ["q", "y + 3", 40], ["p", "q + 3", 43], ["n", "p + 4", 47]], "target_var_name": "n", "target_value": 47, "value_dict": {"e": 3, "o": 14, "x": 27, "y": 37, "q": 40, "p": 43, "n": 47}, "is_reverse": false}} | 670 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 3; d = r + 12; z = c + 4; o = e + 11; x = o + 13; n = p + 4; p = q + 3; r = e + 13; y = x + 10; e = 3; f = z + 4; c = k + 16; k = d + 5. If e = 3, what is the resulting value of n?",
"role": "user"
... | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = e + 11, which gives o = 14.\n2. Compute x using x = o + 13, which gives x = 27.\n3. Compute y using y = x + 10, which gives y = 37.\n4. Compute q using q = y + 3, which gives q = 40.\n5. Compute p using p = q + 3, which gives p = 43.\n6. Compute n using n = p + 4, which gives n = 47.\n\nThus, the final answer is n = \\boxed{47}.",
"index": 670,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 3; d = r + 12; z = c + 4; o = e + 11; x = o + 13; n = p + 4; p = q + 3; r = e + 13; y = x + 10; e = 3; f = z + 4; c = k + 16; k = d + 5. If e = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 18", "u": "i + 12", "n": "u + 18", "c": "n + 11", "s": "c + 5", "r": "s + 2", "e": "f + 4", "m": "e + 2", "a": "m + 16", "w": "a + 2", "t": "w + 8", "k": "t + 13", "f": 17}, "premises": {"f": 17}, "target": "r"}, "answer": {"steps": [["i", "f + 18", 35], ["u", "i + 12", 47], ["n", "u + 18", 65], ["c", "n + 11", 76], ["s", "c + 5", 81], ["r", "s + 2", 83]], "target_var_name": "r", "target_value": 83, "value_dict": {"f": 17, "i": 35, "u": 47, "n": 65, "c": 76, "s": 81, "r": 83}, "is_reverse": false}} | 671 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 12; i = f + 18; a = m + 16; c = n + 11; m = e + 2; s = c + 5; w = a + 2; e = f + 4; f = 17; n = u + 18; t = w + 8; k = t + 13; r = s + 2. If f = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = f + 18, which gives i = 35.\n2. Compute u using u = i + 12, which gives u = 47.\n3. Compute n using n = u + 18, which gives n = 65.\n4. Compute c using c = n + 11, which gives c = 76.\n5. Compute s using s = c + 5, which gives s = 81.\n6. Compute r using r = s + 2, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 671,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 12; i = f + 18; a = m + 16; c = n + 11; m = e + 2; s = c + 5; w = a + 2; e = f + 4; f = 17; n = u + 18; t = w + 8; k = t + 13; r = s + 2. If f = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 19", "g": "i + 4", "a": "g + 17", "d": "a + 10", "m": "d + 7", "t": "m + 9", "s": "q + 17", "w": "s + 4", "u": "w + 10", "j": "u + 11", "c": "j + 5", "y": "c + 17", "q": 10}, "premises": {"q": 10}, "target": "t"}, "answer": {"steps": [["i", "q + 19", 29], ["g", "i + 4", 33], ["a", "g + 17", 50], ["d", "a + 10", 60], ["m", "d + 7", 67], ["t", "m + 9", 76]], "target_var_name": "t", "target_value": 76, "value_dict": {"q": 10, "i": 29, "g": 33, "a": 50, "d": 60, "m": 67, "t": 76}, "is_reverse": false}} | 672 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = w + 10; a = g + 17; g = i + 4; w = s + 4; d = a + 10; y = c + 17; c = j + 5; j = u + 11; q = 10; t = m + 9; m = d + 7; s = q + 17; i = q + 19. Given that q = 10, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = q + 19, which gives i = 29.\n2. Compute g using g = i + 4, which gives g = 33.\n3. Compute a using a = g + 17, which gives a = 50.\n4. Compute d using d = a + 10, which gives d = 60.\n5. Compute m using m = d + 7, which gives m = 67.\n6. Compute t using t = m + 9, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 672,
"question": "Suppose a collection of variables is related by the following definitions: u = w + 10; a = g + 17; g = i + 4; w = s + 4; d = a + 10; y = c + 17; c = j + 5; j = u + 11; q = 10; t = m + 9; m = d + 7; s = q + 17; i = q + 19. Given that q = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 11", "k": "o + 2", "g": "k + 2", "d": "g + 16", "q": "d + 1", "f": "q + 20", "n": "v + 5", "u": "n + 13", "w": "u + 19", "p": "w + 13", "y": "p + 17", "r": "y + 7", "v": 10}, "premises": {"v": 10}, "target": "f"}, "answer": {"steps": [["o", "v + 11", 21], ["k", "o + 2", 23], ["g", "k + 2", 25], ["d", "g + 16", 41], ["q", "d + 1", 42], ["f", "q + 20", 62]], "target_var_name": "f", "target_value": 62, "value_dict": {"v": 10, "o": 21, "k": 23, "g": 25, "d": 41, "q": 42, "f": 62}, "is_reverse": false}} | 673 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 1; v = 10; d = g + 16; r = y + 7; g = k + 2; y = p + 17; k = o + 2; w = u + 19; f = q + 20; o = v + 11; u = n + 13; p = w + 13; n = v + 5. If v = 10, what is the resulting value of f?",
"role": "use... | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = v + 11, which gives o = 21.\n2. Compute k using k = o + 2, which gives k = 23.\n3. Compute g using g = k + 2, which gives g = 25.\n4. Compute d using d = g + 16, which gives d = 41.\n5. Compute q using q = d + 1, which gives q = 42.\n6. Compute f using f = q + 20, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 1; v = 10; d = g + 16; r = y + 7; g = k + 2; y = p + 17; k = o + 2; w = u + 19; f = q + 20; o = v + 11; u = n + 13; p = w + 13; n = v + 5. If v = 10, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 9", "l": "h + 18", "k": "l + 13", "t": "k + 9", "a": "t + 19", "b": "a + 3", "w": "n + 19", "f": "w + 14", "c": "f + 16", "p": "c + 13", "j": "p + 13", "x": "j + 8", "n": 8}, "premises": {"n": 8}, "target": "b"}, "answer": {"steps": [["h", "n + 9", 17], ["l", "h + 18", 35], ["k", "l + 13", 48], ["t", "k + 9", 57], ["a", "t + 19", 76], ["b", "a + 3", 79]], "target_var_name": "b", "target_value": 79, "value_dict": {"n": 8, "h": 17, "l": 35, "k": 48, "t": 57, "a": 76, "b": 79}, "is_reverse": false}} | 674 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = l + 13; t = k + 9; f = w + 14; c = f + 16; a = t + 19; j = p + 13; n = 8; b = a + 3; x = j + 8; w = n + 19; h = n + 9; p = c + 13; l = h + 18. Given that n = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = n + 9, which gives h = 17.\n2. Compute l using l = h + 18, which gives l = 35.\n3. Compute k using k = l + 13, which gives k = 48.\n4. Compute t using t = k + 9, which gives t = 57.\n5. Compute a using a = t + 19, which gives a = 76.\n6. Compute b using b = a + 3, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 674,
"question": "Suppose a collection of variables is related by the following definitions: k = l + 13; t = k + 9; f = w + 14; c = f + 16; a = t + 19; j = p + 13; n = 8; b = a + 3; x = j + 8; w = n + 19; h = n + 9; p = c + 13; l = h + 18. Given that n = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 15", "w": "o + 5", "y": "w + 18", "m": "y + 1", "p": "m + 10", "i": "p + 7", "h": "q + 10", "r": "h + 11", "t": "r + 19", "j": "t + 8", "k": "j + 15", "z": "k + 13", "q": 9}, "premises": {"q": 9}, "target": "i"}, "answer": {"steps": [["o", "q + 15", 24], ["w", "o + 5", 29], ["y", "w + 18", 47], ["m", "y + 1", 48], ["p", "m + 10", 58], ["i", "p + 7", 65]], "target_var_name": "i", "target_value": 65, "value_dict": {"q": 9, "o": 24, "w": 29, "y": 47, "m": 48, "p": 58, "i": 65}, "is_reverse": false}} | 675 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 18; j = t + 8; k = j + 15; z = k + 13; h = q + 10; i = p + 7; t = r + 19; w = o + 5; m = y + 1; p = m + 10; q = 9; o = q + 15; r = h + 11. If q = 9, what is the resulting value of i?",
"role": "user... | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = q + 15, which gives o = 24.\n2. Compute w using w = o + 5, which gives w = 29.\n3. Compute y using y = w + 18, which gives y = 47.\n4. Compute m using m = y + 1, which gives m = 48.\n5. Compute p using p = m + 10, which gives p = 58.\n6. Compute i using i = p + 7, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 675,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 18; j = t + 8; k = j + 15; z = k + 13; h = q + 10; i = p + 7; t = r + 19; w = o + 5; m = y + 1; p = m + 10; q = 9; o = q + 15; r = h + 11. If q = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 19", "m": "g + 19", "e": "m + 5", "b": "e + 5", "x": "b + 5", "l": "x + 7", "n": "o + 1", "v": "n + 20", "y": "v + 7", "h": "y + 16", "a": "h + 10", "f": "a + 8", "o": 20}, "premises": {"o": 20}, "target": "l"}, "answer": {"steps": [["g", "o + 19", 39], ["m", "g + 19", 58], ["e", "m + 5", 63], ["b", "e + 5", 68], ["x", "b + 5", 73], ["l", "x + 7", 80]], "target_var_name": "l", "target_value": 80, "value_dict": {"o": 20, "g": 39, "m": 58, "e": 63, "b": 68, "x": 73, "l": 80}, "is_reverse": false}} | 676 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = y + 16; a = h + 10; v = n + 20; m = g + 19; f = a + 8; g = o + 19; e = m + 5; l = x + 7; b = e + 5; o = 20; y = v + 7; n = o + 1; x = b + 5. If o = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 19, which gives g = 39.\n2. Compute m using m = g + 19, which gives m = 58.\n3. Compute e using e = m + 5, which gives e = 63.\n4. Compute b using b = e + 5, which gives b = 68.\n5. Compute x using x = b + 5, which gives x = 73.\n6. Compute l using l = x + 7, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 676,
"question": "Consider a system of variables where each variable is defined as follows: h = y + 16; a = h + 10; v = n + 20; m = g + 19; f = a + 8; g = o + 19; e = m + 5; l = x + 7; b = e + 5; o = 20; y = v + 7; n = o + 1; x = b + 5. If o = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 20", "n": "c + 9", "f": "n + 14", "u": "f + 4", "v": "u + 15", "p": "v + 13", "q": "s + 10", "x": "q + 2", "t": "x + 6", "w": "t + 12", "e": "w + 8", "b": "e + 2", "s": 17}, "premises": {"s": 17}, "target": "p"}, "answer": {"steps": [["v", "u + 15", "u + 28"], ["u", "f + 4", "f + 32"], ["f", "n + 14", "n + 46"], ["n", "c + 9", "c + 55"], ["c", "s + 20", "s + 75"], ["s", 17, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"s": 17}, "is_reverse": true}} | 677 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 12; q = s + 10; b = e + 2; c = s + 20; t = x + 6; v = u + 15; f = n + 14; e = w + 8; p = v + 13; x = q + 2; n = c + 9; u = f + 4; s = 17. Given that s = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 15 to p, which gives p = u + 28.\n2. Substitute u = f + 4 to p, which gives p = f + 32.\n3. Substitute f = n + 14 to p, which gives p = n + 46.\n4. Substitute n = c + 9 to p, which gives p = c + 55.\n5. Substitute c = s + 20 to p, which gives p = s + 75.\n6. Substitute s = 17 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 677,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 12; q = s + 10; b = e + 2; c = s + 20; t = x + 6; v = u + 15; f = n + 14; e = w + 8; p = v + 13; x = q + 2; n = c + 9; u = f + 4; s = 17. Given that s = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 13", "p": "x + 4", "h": "p + 15", "z": "h + 6", "k": "z + 16", "r": "k + 8", "t": "q + 9", "m": "t + 20", "c": "m + 4", "b": "c + 4", "u": "b + 8", "w": "u + 17", "q": 8}, "premises": {"q": 8}, "target": "r"}, "answer": {"steps": [["x", "q + 13", 21], ["p", "x + 4", 25], ["h", "p + 15", 40], ["z", "h + 6", 46], ["k", "z + 16", 62], ["r", "k + 8", 70]], "target_var_name": "r", "target_value": 70, "value_dict": {"q": 8, "x": 21, "p": 25, "h": 40, "z": 46, "k": 62, "r": 70}, "is_reverse": false}} | 678 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 16; z = h + 6; b = c + 4; x = q + 13; t = q + 9; m = t + 20; h = p + 15; w = u + 17; r = k + 8; p = x + 4; u = b + 8; q = 8; c = m + 4. Given that q = 8, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = q + 13, which gives x = 21.\n2. Compute p using p = x + 4, which gives p = 25.\n3. Compute h using h = p + 15, which gives h = 40.\n4. Compute z using z = h + 6, which gives z = 46.\n5. Compute k using k = z + 16, which gives k = 62.\n6. Compute r using r = k + 8, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 678,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 16; z = h + 6; b = c + 4; x = q + 13; t = q + 9; m = t + 20; h = p + 15; w = u + 17; r = k + 8; p = x + 4; u = b + 8; q = 8; c = m + 4. Given that q = 8, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "o + 9", "h": "e + 12", "k": "h + 3", "r": "k + 11", "c": "r + 15", "f": "c + 1", "x": "o + 10", "z": "x + 6", "d": "z + 12", "i": "d + 15", "b": "i + 16", "n": "b + 9", "o": 6}, "premises": {"o": 6}, "target": "f"}, "answer": {"steps": [["c", "r + 15", "r + 16"], ["r", "k + 11", "k + 27"], ["k", "h + 3", "h + 30"], ["h", "e + 12", "e + 42"], ["e", "o + 9", "o + 51"], ["o", 6, "57"]], "target_var_name": "f", "target_value": 57, "value_dict": {"o": 6}, "is_reverse": true}} | 679 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 11; o = 6; z = x + 6; f = c + 1; n = b + 9; b = i + 16; d = z + 12; c = r + 15; x = o + 10; h = e + 12; k = h + 3; e = o + 9; i = d + 15. If o = 6, what is the resulting value of f?",
"role": "user"... | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 15 to f, which gives f = r + 16.\n2. Substitute r = k + 11 to f, which gives f = k + 27.\n3. Substitute k = h + 3 to f, which gives f = h + 30.\n4. Substitute h = e + 12 to f, which gives f = e + 42.\n5. Substitute e = o + 9 to f, which gives f = o + 51.\n6. Substitute o = 6 to f, which gives f = 57.\n\nThus, the final answer is f = \\boxed{57}.",
"index": 679,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 11; o = 6; z = x + 6; f = c + 1; n = b + 9; b = i + 16; d = z + 12; c = r + 15; x = o + 10; h = e + 12; k = h + 3; e = o + 9; i = d + 15. If o = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 17", "d": "c + 10", "y": "d + 17", "m": "y + 16", "n": "m + 7", "w": "n + 15", "o": "a + 7", "u": "o + 17", "q": "u + 8", "i": "q + 10", "e": "i + 13", "r": "e + 14", "a": 19}, "premises": {"a": 19}, "target": "w"}, "answer": {"steps": [["c", "a + 17", 36], ["d", "c + 10", 46], ["y", "d + 17", 63], ["m", "y + 16", 79], ["n", "m + 7", 86], ["w", "n + 15", 101]], "target_var_name": "w", "target_value": 101, "value_dict": {"a": 19, "c": 36, "d": 46, "y": 63, "m": 79, "n": 86, "w": 101}, "is_reverse": false}} | 680 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 16; r = e + 14; c = a + 17; d = c + 10; e = i + 13; u = o + 17; q = u + 8; o = a + 7; w = n + 15; n = m + 7; y = d + 17; i = q + 10; a = 19. Given that a = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = a + 17, which gives c = 36.\n2. Compute d using d = c + 10, which gives d = 46.\n3. Compute y using y = d + 17, which gives y = 63.\n4. Compute m using m = y + 16, which gives m = 79.\n5. Compute n using n = m + 7, which gives n = 86.\n6. Compute w using w = n + 15, which gives w = 101.\n\nThus, the final answer is w = \\boxed{101}.",
"index": 680,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 16; r = e + 14; c = a + 17; d = c + 10; e = i + 13; u = o + 17; q = u + 8; o = a + 7; w = n + 15; n = m + 7; y = d + 17; i = q + 10; a = 19. Given that a = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 4", "a": "s + 9", "i": "a + 18", "o": "i + 4", "m": "o + 18", "c": "m + 18", "y": "v + 2", "e": "y + 2", "g": "e + 1", "n": "g + 5", "x": "n + 19", "j": "x + 12", "v": 5}, "premises": {"v": 5}, "target": "c"}, "answer": {"steps": [["m", "o + 18", "o + 36"], ["o", "i + 4", "i + 40"], ["i", "a + 18", "a + 58"], ["a", "s + 9", "s + 67"], ["s", "v + 4", "v + 71"], ["v", 5, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"v": 5}, "is_reverse": true}} | 681 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 4; m = o + 18; x = n + 19; y = v + 2; s = v + 4; c = m + 18; i = a + 18; v = 5; n = g + 5; j = x + 12; a = s + 9; e = y + 2; g = e + 1. Given that v = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 18 to c, which gives c = o + 36.\n2. Substitute o = i + 4 to c, which gives c = i + 40.\n3. Substitute i = a + 18 to c, which gives c = a + 58.\n4. Substitute a = s + 9 to c, which gives c = s + 67.\n5. Substitute s = v + 4 to c, which gives c = v + 71.\n6. Substitute v = 5 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 681,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 4; m = o + 18; x = n + 19; y = v + 2; s = v + 4; c = m + 18; i = a + 18; v = 5; n = g + 5; j = x + 12; a = s + 9; e = y + 2; g = e + 1. Given that v = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 1", "y": "n + 18", "d": "y + 16", "f": "d + 4", "j": "f + 2", "z": "j + 6", "a": "q + 18", "p": "a + 15", "b": "p + 13", "e": "b + 5", "s": "e + 19", "k": "s + 19", "q": 11}, "premises": {"q": 11}, "target": "z"}, "answer": {"steps": [["j", "f + 2", "f + 8"], ["f", "d + 4", "d + 12"], ["d", "y + 16", "y + 28"], ["y", "n + 18", "n + 46"], ["n", "q + 1", "q + 47"], ["q", 11, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"q": 11}, "is_reverse": true}} | 682 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 15; y = n + 18; n = q + 1; j = f + 2; f = d + 4; e = b + 5; a = q + 18; k = s + 19; b = p + 13; q = 11; d = y + 16; z = j + 6; s = e + 19. If q = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 2 to z, which gives z = f + 8.\n2. Substitute f = d + 4 to z, which gives z = d + 12.\n3. Substitute d = y + 16 to z, which gives z = y + 28.\n4. Substitute y = n + 18 to z, which gives z = n + 46.\n5. Substitute n = q + 1 to z, which gives z = q + 47.\n6. Substitute q = 11 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 682,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 15; y = n + 18; n = q + 1; j = f + 2; f = d + 4; e = b + 5; a = q + 18; k = s + 19; b = p + 13; q = 11; d = y + 16; z = j + 6; s = e + 19. If q = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"i": "y + 16", "k": "i + 19", "g": "k + 10", "e": "g + 16", "v": "e + 7", "b": "v + 11", "t": "y + 11", "w": "t + 8", "n": "w + 7", "c": "n + 16", "a": "c + 1", "q": "a + 20", "y": 15}, "premises": {"y": 15}, "target": "b"}, "answer": {"steps": [["i", "y + 16", 31], ["k", "i + 19", 50], ["g", "k + 10", 60], ["e", "g + 16", 76], ["v", "e + 7", 83], ["b", "v + 11", 94]], "target_var_name": "b", "target_value": 94, "value_dict": {"y": 15, "i": 31, "k": 50, "g": 60, "e": 76, "v": 83, "b": 94}, "is_reverse": false}} | 683 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 11; a = c + 1; t = y + 11; w = t + 8; n = w + 7; v = e + 7; k = i + 19; i = y + 16; q = a + 20; g = k + 10; y = 15; c = n + 16; e = g + 16. If y = 15, what is the resulting value of b?",
"role": "us... | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = y + 16, which gives i = 31.\n2. Compute k using k = i + 19, which gives k = 50.\n3. Compute g using g = k + 10, which gives g = 60.\n4. Compute e using e = g + 16, which gives e = 76.\n5. Compute v using v = e + 7, which gives v = 83.\n6. Compute b using b = v + 11, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 683,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 11; a = c + 1; t = y + 11; w = t + 8; n = w + 7; v = e + 7; k = i + 19; i = y + 16; q = a + 20; g = k + 10; y = 15; c = n + 16; e = g + 16. If y = 15, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 2", "b": "j + 4", "g": "b + 10", "t": "g + 7", "h": "t + 3", "i": "h + 15", "w": "o + 20", "a": "w + 11", "c": "a + 14", "v": "c + 16", "z": "v + 1", "n": "z + 7", "o": 10}, "premises": {"o": 10}, "target": "i"}, "answer": {"steps": [["h", "t + 3", "t + 18"], ["t", "g + 7", "g + 25"], ["g", "b + 10", "b + 35"], ["b", "j + 4", "j + 39"], ["j", "o + 2", "o + 41"], ["o", 10, "51"]], "target_var_name": "i", "target_value": 51, "value_dict": {"o": 10}, "is_reverse": true}} | 684 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 4; t = g + 7; a = w + 11; z = v + 1; v = c + 16; o = 10; n = z + 7; w = o + 20; i = h + 15; c = a + 14; g = b + 10; j = o + 2; h = t + 3. Given that o = 10, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 3 to i, which gives i = t + 18.\n2. Substitute t = g + 7 to i, which gives i = g + 25.\n3. Substitute g = b + 10 to i, which gives i = b + 35.\n4. Substitute b = j + 4 to i, which gives i = j + 39.\n5. Substitute j = o + 2 to i, which gives i = o + 41.\n6. Substitute o = 10 to i, which gives i = 51.\n\nThus, the final answer is i = \\boxed{51}.",
"index": 684,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 4; t = g + 7; a = w + 11; z = v + 1; v = c + 16; o = 10; n = z + 7; w = o + 20; i = h + 15; c = a + 14; g = b + 10; j = o + 2; h = t + 3. Given that o = 10, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 20", "f": "y + 19", "u": "f + 3", "n": "u + 13", "a": "n + 11", "z": "a + 11", "h": "o + 18", "d": "h + 1", "r": "d + 14", "v": "r + 10", "j": "v + 5", "s": "j + 1", "o": 19}, "premises": {"o": 19}, "target": "z"}, "answer": {"steps": [["a", "n + 11", "n + 22"], ["n", "u + 13", "u + 35"], ["u", "f + 3", "f + 38"], ["f", "y + 19", "y + 57"], ["y", "o + 20", "o + 77"], ["o", 19, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"o": 19}, "is_reverse": true}} | 685 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 14; j = v + 5; f = y + 19; v = r + 10; y = o + 20; h = o + 18; a = n + 11; z = a + 11; s = j + 1; u = f + 3; o = 19; n = u + 13; d = h + 1. Given that o = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 11 to z, which gives z = n + 22.\n2. Substitute n = u + 13 to z, which gives z = u + 35.\n3. Substitute u = f + 3 to z, which gives z = f + 38.\n4. Substitute f = y + 19 to z, which gives z = y + 57.\n5. Substitute y = o + 20 to z, which gives z = o + 77.\n6. Substitute o = 19 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 685,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 14; j = v + 5; f = y + 19; v = r + 10; y = o + 20; h = o + 18; a = n + 11; z = a + 11; s = j + 1; u = f + 3; o = 19; n = u + 13; d = h + 1. Given that o = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 20", "b": "n + 18", "p": "b + 2", "e": "p + 10", "y": "e + 18", "m": "y + 10", "u": "d + 11", "c": "u + 3", "r": "c + 12", "k": "r + 17", "a": "k + 8", "o": "a + 16", "d": 18}, "premises": {"d": 18}, "target": "m"}, "answer": {"steps": [["y", "e + 18", "e + 28"], ["e", "p + 10", "p + 38"], ["p", "b + 2", "b + 40"], ["b", "n + 18", "n + 58"], ["n", "d + 20", "d + 78"], ["d", 18, "96"]], "target_var_name": "m", "target_value": 96, "value_dict": {"d": 18}, "is_reverse": true}} | 686 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = y + 10; r = c + 12; y = e + 18; b = n + 18; p = b + 2; k = r + 17; d = 18; o = a + 16; n = d + 20; c = u + 3; u = d + 11; e = p + 10; a = k + 8. Given that d = 18, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 18 to m, which gives m = e + 28.\n2. Substitute e = p + 10 to m, which gives m = p + 38.\n3. Substitute p = b + 2 to m, which gives m = b + 40.\n4. Substitute b = n + 18 to m, which gives m = n + 58.\n5. Substitute n = d + 20 to m, which gives m = d + 78.\n6. Substitute d = 18 to m, which gives m = 96.\n\nThus, the final answer is m = \\boxed{96}.",
"index": 686,
"question": "Suppose a collection of variables is related by the following definitions: m = y + 10; r = c + 12; y = e + 18; b = n + 18; p = b + 2; k = r + 17; d = 18; o = a + 16; n = d + 20; c = u + 3; u = d + 11; e = p + 10; a = k + 8. Given that d = 18, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 20", "p": "k + 5", "s": "p + 12", "u": "s + 10", "w": "u + 11", "t": "w + 20", "i": "h + 10", "o": "i + 9", "g": "o + 8", "z": "g + 8", "d": "z + 15", "r": "d + 12", "h": 15}, "premises": {"h": 15}, "target": "t"}, "answer": {"steps": [["k", "h + 20", 35], ["p", "k + 5", 40], ["s", "p + 12", 52], ["u", "s + 10", 62], ["w", "u + 11", 73], ["t", "w + 20", 93]], "target_var_name": "t", "target_value": 93, "value_dict": {"h": 15, "k": 35, "p": 40, "s": 52, "u": 62, "w": 73, "t": 93}, "is_reverse": false}} | 687 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 15; s = p + 12; t = w + 20; d = z + 15; w = u + 11; z = g + 8; u = s + 10; i = h + 10; g = o + 8; o = i + 9; p = k + 5; r = d + 12; k = h + 20. Given that h = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = h + 20, which gives k = 35.\n2. Compute p using p = k + 5, which gives p = 40.\n3. Compute s using s = p + 12, which gives s = 52.\n4. Compute u using u = s + 10, which gives u = 62.\n5. Compute w using w = u + 11, which gives w = 73.\n6. Compute t using t = w + 20, which gives t = 93.\n\nThus, the final answer is t = \\boxed{93}.",
"index": 687,
"question": "Suppose a collection of variables is related by the following definitions: h = 15; s = p + 12; t = w + 20; d = z + 15; w = u + 11; z = g + 8; u = s + 10; i = h + 10; g = o + 8; o = i + 9; p = k + 5; r = d + 12; k = h + 20. Given that h = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 8", "j": "t + 1", "e": "j + 7", "u": "e + 10", "w": "u + 5", "h": "w + 18", "q": "y + 1", "d": "q + 14", "b": "d + 20", "m": "b + 8", "l": "m + 11", "f": "l + 8", "y": 14}, "premises": {"y": 14}, "target": "h"}, "answer": {"steps": [["t", "y + 8", 22], ["j", "t + 1", 23], ["e", "j + 7", 30], ["u", "e + 10", 40], ["w", "u + 5", 45], ["h", "w + 18", 63]], "target_var_name": "h", "target_value": 63, "value_dict": {"y": 14, "t": 22, "j": 23, "e": 30, "u": 40, "w": 45, "h": 63}, "is_reverse": false}} | 688 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 14; e = j + 7; b = d + 20; l = m + 11; f = l + 8; u = e + 10; m = b + 8; q = y + 1; j = t + 1; y = 14; w = u + 5; h = w + 18; t = y + 8. If y = 14, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = y + 8, which gives t = 22.\n2. Compute j using j = t + 1, which gives j = 23.\n3. Compute e using e = j + 7, which gives e = 30.\n4. Compute u using u = e + 10, which gives u = 40.\n5. Compute w using w = u + 5, which gives w = 45.\n6. Compute h using h = w + 18, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 688,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 14; e = j + 7; b = d + 20; l = m + 11; f = l + 8; u = e + 10; m = b + 8; q = y + 1; j = t + 1; y = 14; w = u + 5; h = w + 18; t = y + 8. If y = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 2", "i": "f + 4", "v": "i + 10", "o": "v + 11", "p": "o + 19", "x": "p + 8", "h": "s + 8", "g": "h + 8", "z": "g + 8", "r": "z + 16", "c": "r + 4", "n": "c + 4", "s": 9}, "premises": {"s": 9}, "target": "x"}, "answer": {"steps": [["p", "o + 19", "o + 27"], ["o", "v + 11", "v + 38"], ["v", "i + 10", "i + 48"], ["i", "f + 4", "f + 52"], ["f", "s + 2", "s + 54"], ["s", 9, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"s": 9}, "is_reverse": true}} | 689 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 4; v = i + 10; r = z + 16; f = s + 2; p = o + 19; o = v + 11; z = g + 8; i = f + 4; s = 9; n = c + 4; g = h + 8; x = p + 8; h = s + 8. If s = 9, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 19 to x, which gives x = o + 27.\n2. Substitute o = v + 11 to x, which gives x = v + 38.\n3. Substitute v = i + 10 to x, which gives x = i + 48.\n4. Substitute i = f + 4 to x, which gives x = f + 52.\n5. Substitute f = s + 2 to x, which gives x = s + 54.\n6. Substitute s = 9 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 689,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 4; v = i + 10; r = z + 16; f = s + 2; p = o + 19; o = v + 11; z = g + 8; i = f + 4; s = 9; n = c + 4; g = h + 8; x = p + 8; h = s + 8. If s = 9, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 10", "d": "q + 20", "v": "d + 4", "j": "v + 4", "y": "j + 5", "i": "y + 16", "c": "u + 9", "n": "c + 16", "r": "n + 5", "b": "r + 8", "x": "b + 15", "p": "x + 14", "u": 17}, "premises": {"u": 17}, "target": "i"}, "answer": {"steps": [["y", "j + 5", "j + 21"], ["j", "v + 4", "v + 25"], ["v", "d + 4", "d + 29"], ["d", "q + 20", "q + 49"], ["q", "u + 10", "u + 59"], ["u", 17, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"u": 17}, "is_reverse": true}} | 690 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 5; x = b + 15; v = d + 4; u = 17; n = c + 16; j = v + 4; c = u + 9; d = q + 20; i = y + 16; r = n + 5; b = r + 8; p = x + 14; q = u + 10. Given that u = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 5 to i, which gives i = j + 21.\n2. Substitute j = v + 4 to i, which gives i = v + 25.\n3. Substitute v = d + 4 to i, which gives i = d + 29.\n4. Substitute d = q + 20 to i, which gives i = q + 49.\n5. Substitute q = u + 10 to i, which gives i = u + 59.\n6. Substitute u = 17 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 690,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 5; x = b + 15; v = d + 4; u = 17; n = c + 16; j = v + 4; c = u + 9; d = q + 20; i = y + 16; r = n + 5; b = r + 8; p = x + 14; q = u + 10. Given that u = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 6", "s": "g + 13", "u": "s + 4", "h": "u + 16", "l": "h + 9", "y": "l + 8", "a": "v + 1", "q": "a + 13", "r": "q + 20", "f": "r + 7", "d": "f + 7", "o": "d + 16", "v": 3}, "premises": {"v": 3}, "target": "y"}, "answer": {"steps": [["l", "h + 9", "h + 17"], ["h", "u + 16", "u + 33"], ["u", "s + 4", "s + 37"], ["s", "g + 13", "g + 50"], ["g", "v + 6", "v + 56"], ["v", 3, "59"]], "target_var_name": "y", "target_value": 59, "value_dict": {"v": 3}, "is_reverse": true}} | 691 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = v + 1; o = d + 16; u = s + 4; d = f + 7; h = u + 16; q = a + 13; v = 3; y = l + 8; f = r + 7; l = h + 9; g = v + 6; s = g + 13; r = q + 20. Given that v = 3, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 9 to y, which gives y = h + 17.\n2. Substitute h = u + 16 to y, which gives y = u + 33.\n3. Substitute u = s + 4 to y, which gives y = s + 37.\n4. Substitute s = g + 13 to y, which gives y = g + 50.\n5. Substitute g = v + 6 to y, which gives y = v + 56.\n6. Substitute v = 3 to y, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 691,
"question": "Suppose a collection of variables is related by the following definitions: a = v + 1; o = d + 16; u = s + 4; d = f + 7; h = u + 16; q = a + 13; v = 3; y = l + 8; f = r + 7; l = h + 9; g = v + 6; s = g + 13; r = q + 20. Given that v = 3, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 8", "f": "s + 20", "l": "f + 13", "y": "l + 13", "k": "y + 3", "a": "k + 5", "b": "g + 20", "u": "b + 18", "t": "u + 19", "m": "t + 8", "z": "m + 10", "i": "z + 6", "g": 9}, "premises": {"g": 9}, "target": "a"}, "answer": {"steps": [["k", "y + 3", "y + 8"], ["y", "l + 13", "l + 21"], ["l", "f + 13", "f + 34"], ["f", "s + 20", "s + 54"], ["s", "g + 8", "g + 62"], ["g", 9, "71"]], "target_var_name": "a", "target_value": 71, "value_dict": {"g": 9}, "is_reverse": true}} | 692 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 5; y = l + 13; i = z + 6; f = s + 20; l = f + 13; z = m + 10; u = b + 18; s = g + 8; t = u + 19; b = g + 20; g = 9; k = y + 3; m = t + 8. If g = 9, 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 k = y + 3 to a, which gives a = y + 8.\n2. Substitute y = l + 13 to a, which gives a = l + 21.\n3. Substitute l = f + 13 to a, which gives a = f + 34.\n4. Substitute f = s + 20 to a, which gives a = s + 54.\n5. Substitute s = g + 8 to a, which gives a = g + 62.\n6. Substitute g = 9 to a, which gives a = 71.\n\nThus, the final answer is a = \\boxed{71}.",
"index": 692,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 5; y = l + 13; i = z + 6; f = s + 20; l = f + 13; z = m + 10; u = b + 18; s = g + 8; t = u + 19; b = g + 20; g = 9; k = y + 3; m = t + 8. If g = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 18", "m": "e + 17", "a": "m + 11", "r": "a + 12", "k": "r + 19", "x": "k + 17", "v": "l + 16", "d": "v + 18", "f": "d + 6", "g": "f + 12", "z": "g + 16", "q": "z + 12", "l": 5}, "premises": {"l": 5}, "target": "x"}, "answer": {"steps": [["k", "r + 19", "r + 36"], ["r", "a + 12", "a + 48"], ["a", "m + 11", "m + 59"], ["m", "e + 17", "e + 76"], ["e", "l + 18", "l + 94"], ["l", 5, "99"]], "target_var_name": "x", "target_value": 99, "value_dict": {"l": 5}, "is_reverse": true}} | 693 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 17; x = k + 17; f = d + 6; g = f + 12; l = 5; e = l + 18; z = g + 16; a = m + 11; r = a + 12; q = z + 12; d = v + 18; v = l + 16; k = r + 19. If l = 5, what is the resulting value of x?",
"role": "u... | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 19 to x, which gives x = r + 36.\n2. Substitute r = a + 12 to x, which gives x = a + 48.\n3. Substitute a = m + 11 to x, which gives x = m + 59.\n4. Substitute m = e + 17 to x, which gives x = e + 76.\n5. Substitute e = l + 18 to x, which gives x = l + 94.\n6. Substitute l = 5 to x, which gives x = 99.\n\nThus, the final answer is x = \\boxed{99}.",
"index": 693,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 17; x = k + 17; f = d + 6; g = f + 12; l = 5; e = l + 18; z = g + 16; a = m + 11; r = a + 12; q = z + 12; d = v + 18; v = l + 16; k = r + 19. If l = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 3", "s": "w + 6", "u": "s + 20", "f": "u + 6", "x": "f + 11", "d": "x + 6", "g": "e + 1", "o": "g + 1", "y": "o + 7", "n": "y + 3", "t": "n + 6", "c": "t + 20", "e": 11}, "premises": {"e": 11}, "target": "d"}, "answer": {"steps": [["w", "e + 3", 14], ["s", "w + 6", 20], ["u", "s + 20", 40], ["f", "u + 6", 46], ["x", "f + 11", 57], ["d", "x + 6", 63]], "target_var_name": "d", "target_value": 63, "value_dict": {"e": 11, "w": 14, "s": 20, "u": 40, "f": 46, "x": 57, "d": 63}, "is_reverse": false}} | 694 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 3; c = t + 20; w = e + 3; e = 11; f = u + 6; g = e + 1; d = x + 6; o = g + 1; s = w + 6; y = o + 7; t = n + 6; u = s + 20; x = f + 11. Given that e = 11, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = e + 3, which gives w = 14.\n2. Compute s using s = w + 6, which gives s = 20.\n3. Compute u using u = s + 20, which gives u = 40.\n4. Compute f using f = u + 6, which gives f = 46.\n5. Compute x using x = f + 11, which gives x = 57.\n6. Compute d using d = x + 6, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 694,
"question": "Suppose a collection of variables is related by the following definitions: n = y + 3; c = t + 20; w = e + 3; e = 11; f = u + 6; g = e + 1; d = x + 6; o = g + 1; s = w + 6; y = o + 7; t = n + 6; u = s + 20; x = f + 11. Given that e = 11, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 14", "u": "d + 13", "n": "u + 18", "m": "n + 5", "b": "m + 19", "e": "b + 3", "y": "p + 1", "c": "y + 5", "s": "c + 18", "i": "s + 5", "q": "i + 8", "z": "q + 15", "p": 6}, "premises": {"p": 6}, "target": "e"}, "answer": {"steps": [["d", "p + 14", 20], ["u", "d + 13", 33], ["n", "u + 18", 51], ["m", "n + 5", 56], ["b", "m + 19", 75], ["e", "b + 3", 78]], "target_var_name": "e", "target_value": 78, "value_dict": {"p": 6, "d": 20, "u": 33, "n": 51, "m": 56, "b": 75, "e": 78}, "is_reverse": false}} | 695 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 18; d = p + 14; z = q + 15; e = b + 3; q = i + 8; b = m + 19; c = y + 5; n = u + 18; y = p + 1; i = s + 5; p = 6; u = d + 13; m = n + 5. Given that p = 6, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = p + 14, which gives d = 20.\n2. Compute u using u = d + 13, which gives u = 33.\n3. Compute n using n = u + 18, which gives n = 51.\n4. Compute m using m = n + 5, which gives m = 56.\n5. Compute b using b = m + 19, which gives b = 75.\n6. Compute e using e = b + 3, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 695,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 18; d = p + 14; z = q + 15; e = b + 3; q = i + 8; b = m + 19; c = y + 5; n = u + 18; y = p + 1; i = s + 5; p = 6; u = d + 13; m = n + 5. Given that p = 6, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 2", "l": "k + 14", "i": "l + 8", "z": "i + 12", "t": "z + 13", "x": "t + 1", "u": "v + 17", "o": "u + 1", "q": "o + 1", "d": "q + 13", "y": "d + 11", "e": "y + 7", "v": 3}, "premises": {"v": 3}, "target": "x"}, "answer": {"steps": [["t", "z + 13", "z + 14"], ["z", "i + 12", "i + 26"], ["i", "l + 8", "l + 34"], ["l", "k + 14", "k + 48"], ["k", "v + 2", "v + 50"], ["v", 3, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"v": 3}, "is_reverse": true}} | 696 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 2; t = z + 13; o = u + 1; i = l + 8; z = i + 12; q = o + 1; l = k + 14; d = q + 13; y = d + 11; v = 3; e = y + 7; x = t + 1; u = v + 17. If v = 3, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 13 to x, which gives x = z + 14.\n2. Substitute z = i + 12 to x, which gives x = i + 26.\n3. Substitute i = l + 8 to x, which gives x = l + 34.\n4. Substitute l = k + 14 to x, which gives x = k + 48.\n5. Substitute k = v + 2 to x, which gives x = v + 50.\n6. Substitute v = 3 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 696,
"question": "Consider a system of variables where each variable is defined as follows: k = v + 2; t = z + 13; o = u + 1; i = l + 8; z = i + 12; q = o + 1; l = k + 14; d = q + 13; y = d + 11; v = 3; e = y + 7; x = t + 1; u = v + 17. If v = 3, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 3", "f": "r + 11", "w": "f + 6", "i": "w + 6", "m": "i + 7", "x": "m + 8", "d": "n + 20", "a": "d + 9", "p": "a + 2", "b": "p + 3", "g": "b + 10", "q": "g + 11", "n": 4}, "premises": {"n": 4}, "target": "x"}, "answer": {"steps": [["m", "i + 7", "i + 15"], ["i", "w + 6", "w + 21"], ["w", "f + 6", "f + 27"], ["f", "r + 11", "r + 38"], ["r", "n + 3", "n + 41"], ["n", 4, "45"]], "target_var_name": "x", "target_value": 45, "value_dict": {"n": 4}, "is_reverse": true}} | 697 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = p + 3; x = m + 8; q = g + 11; p = a + 2; w = f + 6; f = r + 11; a = d + 9; d = n + 20; n = 4; i = w + 6; m = i + 7; r = n + 3; g = b + 10. Given that n = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 7 to x, which gives x = i + 15.\n2. Substitute i = w + 6 to x, which gives x = w + 21.\n3. Substitute w = f + 6 to x, which gives x = f + 27.\n4. Substitute f = r + 11 to x, which gives x = r + 38.\n5. Substitute r = n + 3 to x, which gives x = n + 41.\n6. Substitute n = 4 to x, which gives x = 45.\n\nThus, the final answer is x = \\boxed{45}.",
"index": 697,
"question": "Suppose a collection of variables is related by the following definitions: b = p + 3; x = m + 8; q = g + 11; p = a + 2; w = f + 6; f = r + 11; a = d + 9; d = n + 20; n = 4; i = w + 6; m = i + 7; r = n + 3; g = b + 10. Given that n = 4, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 14", "i": "w + 11", "g": "i + 7", "u": "g + 12", "r": "u + 8", "j": "r + 13", "y": "m + 12", "k": "y + 8", "t": "k + 14", "d": "t + 3", "a": "d + 15", "n": "a + 6", "m": 15}, "premises": {"m": 15}, "target": "j"}, "answer": {"steps": [["w", "m + 14", 29], ["i", "w + 11", 40], ["g", "i + 7", 47], ["u", "g + 12", 59], ["r", "u + 8", 67], ["j", "r + 13", 80]], "target_var_name": "j", "target_value": 80, "value_dict": {"m": 15, "w": 29, "i": 40, "g": 47, "u": 59, "r": 67, "j": 80}, "is_reverse": false}} | 698 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 7; a = d + 15; d = t + 3; u = g + 12; y = m + 12; t = k + 14; k = y + 8; i = w + 11; m = 15; w = m + 14; j = r + 13; n = a + 6; r = u + 8. If m = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = m + 14, which gives w = 29.\n2. Compute i using i = w + 11, which gives i = 40.\n3. Compute g using g = i + 7, which gives g = 47.\n4. Compute u using u = g + 12, which gives u = 59.\n5. Compute r using r = u + 8, which gives r = 67.\n6. Compute j using j = r + 13, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 698,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 7; a = d + 15; d = t + 3; u = g + 12; y = m + 12; t = k + 14; k = y + 8; i = w + 11; m = 15; w = m + 14; j = r + 13; n = a + 6; r = u + 8. If m = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 5", "b": "m + 9", "a": "b + 2", "p": "a + 10", "f": "p + 7", "l": "f + 14", "w": "g + 20", "v": "w + 3", "k": "v + 6", "n": "k + 11", "e": "n + 8", "x": "e + 9", "g": 4}, "premises": {"g": 4}, "target": "l"}, "answer": {"steps": [["f", "p + 7", "p + 21"], ["p", "a + 10", "a + 31"], ["a", "b + 2", "b + 33"], ["b", "m + 9", "m + 42"], ["m", "g + 5", "g + 47"], ["g", 4, "51"]], "target_var_name": "l", "target_value": 51, "value_dict": {"g": 4}, "is_reverse": true}} | 699 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 20; l = f + 14; g = 4; n = k + 11; f = p + 7; v = w + 3; p = a + 10; x = e + 9; m = g + 5; k = v + 6; e = n + 8; a = b + 2; b = m + 9. If g = 4, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 7 to l, which gives l = p + 21.\n2. Substitute p = a + 10 to l, which gives l = a + 31.\n3. Substitute a = b + 2 to l, which gives l = b + 33.\n4. Substitute b = m + 9 to l, which gives l = m + 42.\n5. Substitute m = g + 5 to l, which gives l = g + 47.\n6. Substitute g = 4 to l, which gives l = 51.\n\nThus, the final answer is l = \\boxed{51}.",
"index": 699,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 20; l = f + 14; g = 4; n = k + 11; f = p + 7; v = w + 3; p = a + 10; x = e + 9; m = g + 5; k = v + 6; e = n + 8; a = b + 2; b = m + 9. If g = 4, determine the value of l.",
"split": "train"
} |
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