meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"w": "n + 17", "l": "w + 14", "g": "l + 4", "a": "g + 15", "q": "a + 6", "v": "q + 14", "x": "n + 5", "z": "x + 16", "h": "z + 18", "s": "h + 2", "e": "s + 8", "k": "e + 12", "n": 18}, "premises": {"n": 18}, "target": "v"}, "answer": {"steps": [["q", "a + 6", "a + 20"], ["a", "g + 15", "g + 35"], ["g", "l + 4", "l + 39"], ["l", "w + 14", "w + 53"], ["w", "n + 17", "n + 70"], ["n", 18, "88"]], "target_var_name": "v", "target_value": 88, "value_dict": {"n": 18}, "is_reverse": true}} | 13,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 12; x = n + 5; e = s + 8; n = 18; g = l + 4; w = n + 17; s = h + 2; l = w + 14; z = x + 16; v = q + 14; h = z + 18; q = a + 6; a = g + 15. If n = 18, what is the resulting value of v?",
"role": "use... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 6 to v, which gives v = a + 20.\n2. Substitute a = g + 15 to v, which gives v = g + 35.\n3. Substitute g = l + 4 to v, which gives v = l + 39.\n4. Substitute l = w + 14 to v, which gives v = w + 53.\n5. Substitute w = n + 17 to v, which gives v = n + 70.\n6. Substitute n = 18 to v, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 13400,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 12; x = n + 5; e = s + 8; n = 18; g = l + 4; w = n + 17; s = h + 2; l = w + 14; z = x + 16; v = q + 14; h = z + 18; q = a + 6; a = g + 15. If n = 18, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "w + 19", "b": "y + 17", "f": "b + 4", "s": "f + 6", "g": "s + 12", "k": "g + 7", "p": "w + 8", "i": "p + 9", "h": "i + 13", "q": "h + 9", "v": "q + 18", "z": "v + 20", "w": 19}, "premises": {"w": 19}, "target": "k"}, "answer": {"steps": [["g", "s + 12", "s + 19"], ["s", "f + 6", "f + 25"], ["f", "b + 4", "b + 29"], ["b", "y + 17", "y + 46"], ["y", "w + 19", "w + 65"], ["w", 19, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"w": 19}, "is_reverse": true}} | 13,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 6; w = 19; p = w + 8; i = p + 9; v = q + 18; f = b + 4; y = w + 19; q = h + 9; h = i + 13; g = s + 12; b = y + 17; z = v + 20; k = g + 7. If w = 19, what is the resulting value of k?",
"role": "user... | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 12 to k, which gives k = s + 19.\n2. Substitute s = f + 6 to k, which gives k = f + 25.\n3. Substitute f = b + 4 to k, which gives k = b + 29.\n4. Substitute b = y + 17 to k, which gives k = y + 46.\n5. Substitute y = w + 19 to k, which gives k = w + 65.\n6. Substitute w = 19 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 13401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 6; w = 19; p = w + 8; i = p + 9; v = q + 18; f = b + 4; y = w + 19; q = h + 9; h = i + 13; g = s + 12; b = y + 17; z = v + 20; k = g + 7. If w = 19, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 14", "k": "v + 18", "b": "k + 3", "q": "b + 19", "h": "q + 12", "e": "h + 1", "j": "d + 9", "u": "j + 4", "l": "u + 20", "m": "l + 1", "n": "m + 11", "x": "n + 2", "d": 14}, "premises": {"d": 14}, "target": "e"}, "answer": {"steps": [["h", "q + 12", "q + 13"], ["q", "b + 19", "b + 32"], ["b", "k + 3", "k + 35"], ["k", "v + 18", "v + 53"], ["v", "d + 14", "d + 67"], ["d", 14, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"d": 14}, "is_reverse": true}} | 13,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 11; l = u + 20; e = h + 1; d = 14; x = n + 2; j = d + 9; b = k + 3; v = d + 14; q = b + 19; m = l + 1; k = v + 18; h = q + 12; u = j + 4. If d = 14, what is the resulting value of e?",
"role": "user... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 12 to e, which gives e = q + 13.\n2. Substitute q = b + 19 to e, which gives e = b + 32.\n3. Substitute b = k + 3 to e, which gives e = k + 35.\n4. Substitute k = v + 18 to e, which gives e = v + 53.\n5. Substitute v = d + 14 to e, which gives e = d + 67.\n6. Substitute d = 14 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 13402,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 11; l = u + 20; e = h + 1; d = 14; x = n + 2; j = d + 9; b = k + 3; v = d + 14; q = b + 19; m = l + 1; k = v + 18; h = q + 12; u = j + 4. If d = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 2", "g": "e + 7", "o": "g + 7", "b": "o + 4", "y": "b + 10", "x": "y + 12", "p": "d + 19", "a": "p + 14", "h": "a + 5", "q": "h + 11", "u": "q + 4", "v": "u + 5", "d": 5}, "premises": {"d": 5}, "target": "x"}, "answer": {"steps": [["y", "b + 10", "b + 22"], ["b", "o + 4", "o + 26"], ["o", "g + 7", "g + 33"], ["g", "e + 7", "e + 40"], ["e", "d + 2", "d + 42"], ["d", 5, "47"]], "target_var_name": "x", "target_value": 47, "value_dict": {"d": 5}, "is_reverse": true}} | 13,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 2; a = p + 14; y = b + 10; v = u + 5; x = y + 12; u = q + 4; q = h + 11; p = d + 19; h = a + 5; g = e + 7; o = g + 7; d = 5; b = o + 4. Given that d = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 10 to x, which gives x = b + 22.\n2. Substitute b = o + 4 to x, which gives x = o + 26.\n3. Substitute o = g + 7 to x, which gives x = g + 33.\n4. Substitute g = e + 7 to x, which gives x = e + 40.\n5. Substitute e = d + 2 to x, which gives x = d + 42.\n6. Substitute d = 5 to x, which gives x = 47.\n\nThus, the final answer is x = \\boxed{47}.",
"index": 13403,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 2; a = p + 14; y = b + 10; v = u + 5; x = y + 12; u = q + 4; q = h + 11; p = d + 19; h = a + 5; g = e + 7; o = g + 7; d = 5; b = o + 4. Given that d = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 19", "e": "k + 4", "y": "e + 2", "r": "y + 19", "w": "r + 16", "m": "w + 2", "f": "b + 8", "g": "f + 20", "j": "g + 2", "q": "j + 9", "s": "q + 3", "n": "s + 19", "b": 19}, "premises": {"b": 19}, "target": "m"}, "answer": {"steps": [["w", "r + 16", "r + 18"], ["r", "y + 19", "y + 37"], ["y", "e + 2", "e + 39"], ["e", "k + 4", "k + 43"], ["k", "b + 19", "b + 62"], ["b", 19, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"b": 19}, "is_reverse": true}} | 13,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 20; e = k + 4; s = q + 3; y = e + 2; m = w + 2; k = b + 19; q = j + 9; r = y + 19; f = b + 8; j = g + 2; b = 19; w = r + 16; n = s + 19. If b = 19, 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. Substitute w = r + 16 to m, which gives m = r + 18.\n2. Substitute r = y + 19 to m, which gives m = y + 37.\n3. Substitute y = e + 2 to m, which gives m = e + 39.\n4. Substitute e = k + 4 to m, which gives m = k + 43.\n5. Substitute k = b + 19 to m, which gives m = b + 62.\n6. Substitute b = 19 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 13404,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 20; e = k + 4; s = q + 3; y = e + 2; m = w + 2; k = b + 19; q = j + 9; r = y + 19; f = b + 8; j = g + 2; b = 19; w = r + 16; n = s + 19. If b = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 7", "s": "z + 13", "k": "s + 7", "j": "k + 2", "a": "j + 14", "w": "a + 12", "v": "e + 16", "d": "v + 17", "f": "d + 8", "q": "f + 2", "x": "q + 20", "i": "x + 12", "e": 14}, "premises": {"e": 14}, "target": "w"}, "answer": {"steps": [["a", "j + 14", "j + 26"], ["j", "k + 2", "k + 28"], ["k", "s + 7", "s + 35"], ["s", "z + 13", "z + 48"], ["z", "e + 7", "e + 55"], ["e", 14, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"e": 14}, "is_reverse": true}} | 13,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 20; q = f + 2; k = s + 7; w = a + 12; a = j + 14; f = d + 8; j = k + 2; v = e + 16; s = z + 13; i = x + 12; z = e + 7; d = v + 17; e = 14. If e = 14, what is the resulting value of w?",
"role": "use... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 14 to w, which gives w = j + 26.\n2. Substitute j = k + 2 to w, which gives w = k + 28.\n3. Substitute k = s + 7 to w, which gives w = s + 35.\n4. Substitute s = z + 13 to w, which gives w = z + 48.\n5. Substitute z = e + 7 to w, which gives w = e + 55.\n6. Substitute e = 14 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 13405,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 20; q = f + 2; k = s + 7; w = a + 12; a = j + 14; f = d + 8; j = k + 2; v = e + 16; s = z + 13; i = x + 12; z = e + 7; d = v + 17; e = 14. If e = 14, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 7", "g": "m + 13", "z": "g + 4", "j": "z + 19", "f": "j + 15", "l": "f + 11", "x": "w + 13", "s": "x + 8", "v": "s + 4", "r": "v + 15", "c": "r + 12", "b": "c + 12", "w": 5}, "premises": {"w": 5}, "target": "l"}, "answer": {"steps": [["f", "j + 15", "j + 26"], ["j", "z + 19", "z + 45"], ["z", "g + 4", "g + 49"], ["g", "m + 13", "m + 62"], ["m", "w + 7", "w + 69"], ["w", 5, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"w": 5}, "is_reverse": true}} | 13,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 7; x = w + 13; z = g + 4; r = v + 15; v = s + 4; s = x + 8; c = r + 12; w = 5; l = f + 11; f = j + 15; b = c + 12; j = z + 19; g = m + 13. If w = 5, what is the resulting value of l?",
"role": "user... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 15 to l, which gives l = j + 26.\n2. Substitute j = z + 19 to l, which gives l = z + 45.\n3. Substitute z = g + 4 to l, which gives l = g + 49.\n4. Substitute g = m + 13 to l, which gives l = m + 62.\n5. Substitute m = w + 7 to l, which gives l = w + 69.\n6. Substitute w = 5 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 13406,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = w + 7; x = w + 13; z = g + 4; r = v + 15; v = s + 4; s = x + 8; c = r + 12; w = 5; l = f + 11; f = j + 15; b = c + 12; j = z + 19; g = m + 13. If w = 5, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 14", "n": "z + 8", "u": "n + 15", "f": "u + 1", "y": "f + 4", "k": "y + 18", "w": "j + 9", "v": "w + 8", "e": "v + 8", "x": "e + 8", "h": "x + 7", "m": "h + 4", "j": 10}, "premises": {"j": 10}, "target": "k"}, "answer": {"steps": [["y", "f + 4", "f + 22"], ["f", "u + 1", "u + 23"], ["u", "n + 15", "n + 38"], ["n", "z + 8", "z + 46"], ["z", "j + 14", "j + 60"], ["j", 10, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"j": 10}, "is_reverse": true}} | 13,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 10; u = n + 15; e = v + 8; k = y + 18; v = w + 8; y = f + 4; f = u + 1; m = h + 4; n = z + 8; w = j + 9; x = e + 8; z = j + 14; h = x + 7. If j = 10, what is the resulting value of k?",
"role": "user"
... | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 4 to k, which gives k = f + 22.\n2. Substitute f = u + 1 to k, which gives k = u + 23.\n3. Substitute u = n + 15 to k, which gives k = n + 38.\n4. Substitute n = z + 8 to k, which gives k = z + 46.\n5. Substitute z = j + 14 to k, which gives k = j + 60.\n6. Substitute j = 10 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 13407,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 10; u = n + 15; e = v + 8; k = y + 18; v = w + 8; y = f + 4; f = u + 1; m = h + 4; n = z + 8; w = j + 9; x = e + 8; z = j + 14; h = x + 7. If j = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 6", "e": "j + 16", "v": "e + 9", "y": "v + 19", "d": "y + 20", "t": "d + 13", "p": "h + 1", "a": "p + 1", "w": "a + 4", "l": "w + 2", "f": "l + 11", "g": "f + 6", "h": 20}, "premises": {"h": 20}, "target": "t"}, "answer": {"steps": [["d", "y + 20", "y + 33"], ["y", "v + 19", "v + 52"], ["v", "e + 9", "e + 61"], ["e", "j + 16", "j + 77"], ["j", "h + 6", "h + 83"], ["h", 20, "103"]], "target_var_name": "t", "target_value": 103, "value_dict": {"h": 20}, "is_reverse": true}} | 13,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 11; p = h + 1; v = e + 9; d = y + 20; l = w + 2; t = d + 13; e = j + 16; h = 20; a = p + 1; j = h + 6; g = f + 6; w = a + 4; y = v + 19. If h = 20, what is the resulting value of t?",
"role": "user"... | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = y + 20 to t, which gives t = y + 33.\n2. Substitute y = v + 19 to t, which gives t = v + 52.\n3. Substitute v = e + 9 to t, which gives t = e + 61.\n4. Substitute e = j + 16 to t, which gives t = j + 77.\n5. Substitute j = h + 6 to t, which gives t = h + 83.\n6. Substitute h = 20 to t, which gives t = 103.\n\nThus, the final answer is t = \\boxed{103}.",
"index": 13408,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 11; p = h + 1; v = e + 9; d = y + 20; l = w + 2; t = d + 13; e = j + 16; h = 20; a = p + 1; j = h + 6; g = f + 6; w = a + 4; y = v + 19. If h = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 1", "r": "c + 3", "w": "r + 19", "d": "w + 20", "p": "d + 16", "v": "p + 17", "m": "a + 1", "n": "m + 9", "j": "n + 4", "k": "j + 13", "o": "k + 1", "y": "o + 3", "a": 7}, "premises": {"a": 7}, "target": "v"}, "answer": {"steps": [["p", "d + 16", "d + 33"], ["d", "w + 20", "w + 53"], ["w", "r + 19", "r + 72"], ["r", "c + 3", "c + 75"], ["c", "a + 1", "a + 76"], ["a", 7, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"a": 7}, "is_reverse": true}} | 13,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 1; d = w + 20; y = o + 3; a = 7; j = n + 4; m = a + 1; v = p + 17; p = d + 16; r = c + 3; n = m + 9; o = k + 1; k = j + 13; w = r + 19. If a = 7, what is the resulting value of v?",
"role": "user"
... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 16 to v, which gives v = d + 33.\n2. Substitute d = w + 20 to v, which gives v = w + 53.\n3. Substitute w = r + 19 to v, which gives v = r + 72.\n4. Substitute r = c + 3 to v, which gives v = c + 75.\n5. Substitute c = a + 1 to v, which gives v = a + 76.\n6. Substitute a = 7 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 13409,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 1; d = w + 20; y = o + 3; a = 7; j = n + 4; m = a + 1; v = p + 17; p = d + 16; r = c + 3; n = m + 9; o = k + 1; k = j + 13; w = r + 19. If a = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 13", "j": "n + 9", "k": "j + 5", "i": "k + 8", "y": "i + 8", "b": "y + 18", "t": "g + 1", "m": "t + 6", "a": "m + 14", "s": "a + 3", "u": "s + 2", "o": "u + 19", "g": 2}, "premises": {"g": 2}, "target": "b"}, "answer": {"steps": [["y", "i + 8", "i + 26"], ["i", "k + 8", "k + 34"], ["k", "j + 5", "j + 39"], ["j", "n + 9", "n + 48"], ["n", "g + 13", "g + 61"], ["g", 2, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"g": 2}, "is_reverse": true}} | 13,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 6; g = 2; y = i + 8; t = g + 1; j = n + 9; n = g + 13; u = s + 2; k = j + 5; b = y + 18; i = k + 8; o = u + 19; a = m + 14; s = a + 3. If g = 2, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 8 to b, which gives b = i + 26.\n2. Substitute i = k + 8 to b, which gives b = k + 34.\n3. Substitute k = j + 5 to b, which gives b = j + 39.\n4. Substitute j = n + 9 to b, which gives b = n + 48.\n5. Substitute n = g + 13 to b, which gives b = g + 61.\n6. Substitute g = 2 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 13410,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 6; g = 2; y = i + 8; t = g + 1; j = n + 9; n = g + 13; u = s + 2; k = j + 5; b = y + 18; i = k + 8; o = u + 19; a = m + 14; s = a + 3. If g = 2, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 7", "b": "d + 6", "r": "b + 2", "p": "r + 10", "w": "p + 14", "s": "w + 4", "o": "c + 4", "j": "o + 16", "t": "j + 1", "h": "t + 19", "k": "h + 3", "v": "k + 18", "c": 16}, "premises": {"c": 16}, "target": "s"}, "answer": {"steps": [["w", "p + 14", "p + 18"], ["p", "r + 10", "r + 28"], ["r", "b + 2", "b + 30"], ["b", "d + 6", "d + 36"], ["d", "c + 7", "c + 43"], ["c", 16, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"c": 16}, "is_reverse": true}} | 13,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 4; v = k + 18; w = p + 14; k = h + 3; c = 16; d = c + 7; b = d + 6; j = o + 16; s = w + 4; t = j + 1; r = b + 2; h = t + 19; p = r + 10. If c = 16, what is the resulting value of s?",
"role": "user"... | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 14 to s, which gives s = p + 18.\n2. Substitute p = r + 10 to s, which gives s = r + 28.\n3. Substitute r = b + 2 to s, which gives s = b + 30.\n4. Substitute b = d + 6 to s, which gives s = d + 36.\n5. Substitute d = c + 7 to s, which gives s = c + 43.\n6. Substitute c = 16 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 13411,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 4; v = k + 18; w = p + 14; k = h + 3; c = 16; d = c + 7; b = d + 6; j = o + 16; s = w + 4; t = j + 1; r = b + 2; h = t + 19; p = r + 10. If c = 16, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 4", "v": "i + 10", "s": "v + 6", "g": "s + 11", "n": "g + 8", "z": "n + 18", "d": "a + 6", "w": "d + 15", "l": "w + 20", "x": "l + 7", "k": "x + 1", "b": "k + 17", "a": 12}, "premises": {"a": 12}, "target": "z"}, "answer": {"steps": [["n", "g + 8", "g + 26"], ["g", "s + 11", "s + 37"], ["s", "v + 6", "v + 43"], ["v", "i + 10", "i + 53"], ["i", "a + 4", "a + 57"], ["a", 12, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"a": 12}, "is_reverse": true}} | 13,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 7; v = i + 10; n = g + 8; i = a + 4; l = w + 20; w = d + 15; g = s + 11; z = n + 18; k = x + 1; d = a + 6; b = k + 17; a = 12; s = v + 6. If a = 12, what is the resulting value of z?",
"role": "user... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 8 to z, which gives z = g + 26.\n2. Substitute g = s + 11 to z, which gives z = s + 37.\n3. Substitute s = v + 6 to z, which gives z = v + 43.\n4. Substitute v = i + 10 to z, which gives z = i + 53.\n5. Substitute i = a + 4 to z, which gives z = a + 57.\n6. Substitute a = 12 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 13412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 7; v = i + 10; n = g + 8; i = a + 4; l = w + 20; w = d + 15; g = s + 11; z = n + 18; k = x + 1; d = a + 6; b = k + 17; a = 12; s = v + 6. If a = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 9", "p": "u + 1", "m": "p + 16", "o": "m + 6", "s": "o + 11", "i": "s + 8", "f": "x + 18", "d": "f + 5", "w": "d + 5", "a": "w + 3", "j": "a + 5", "y": "j + 18", "x": 6}, "premises": {"x": 6}, "target": "i"}, "answer": {"steps": [["s", "o + 11", "o + 19"], ["o", "m + 6", "m + 25"], ["m", "p + 16", "p + 41"], ["p", "u + 1", "u + 42"], ["u", "x + 9", "x + 51"], ["x", 6, "57"]], "target_var_name": "i", "target_value": 57, "value_dict": {"x": 6}, "is_reverse": true}} | 13,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = m + 6; x = 6; y = j + 18; w = d + 5; s = o + 11; d = f + 5; j = a + 5; p = u + 1; u = x + 9; i = s + 8; a = w + 3; f = x + 18; m = p + 16. Given that x = 6, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 11 to i, which gives i = o + 19.\n2. Substitute o = m + 6 to i, which gives i = m + 25.\n3. Substitute m = p + 16 to i, which gives i = p + 41.\n4. Substitute p = u + 1 to i, which gives i = u + 42.\n5. Substitute u = x + 9 to i, which gives i = x + 51.\n6. Substitute x = 6 to i, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 13413,
"question": "Suppose a collection of variables is related by the following definitions: o = m + 6; x = 6; y = j + 18; w = d + 5; s = o + 11; d = f + 5; j = a + 5; p = u + 1; u = x + 9; i = s + 8; a = w + 3; f = x + 18; m = p + 16. Given that x = 6, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 20", "x": "b + 11", "y": "x + 1", "e": "y + 20", "h": "e + 18", "l": "h + 13", "d": "g + 6", "v": "d + 16", "i": "v + 19", "q": "i + 3", "f": "q + 4", "k": "f + 8", "g": 1}, "premises": {"g": 1}, "target": "l"}, "answer": {"steps": [["h", "e + 18", "e + 31"], ["e", "y + 20", "y + 51"], ["y", "x + 1", "x + 52"], ["x", "b + 11", "b + 63"], ["b", "g + 20", "g + 83"], ["g", 1, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"g": 1}, "is_reverse": true}} | 13,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 18; q = i + 3; v = d + 16; d = g + 6; x = b + 11; k = f + 8; l = h + 13; e = y + 20; y = x + 1; i = v + 19; b = g + 20; g = 1; f = q + 4. Given that g = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 18 to l, which gives l = e + 31.\n2. Substitute e = y + 20 to l, which gives l = y + 51.\n3. Substitute y = x + 1 to l, which gives l = x + 52.\n4. Substitute x = b + 11 to l, which gives l = b + 63.\n5. Substitute b = g + 20 to l, which gives l = g + 83.\n6. Substitute g = 1 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 13414,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 18; q = i + 3; v = d + 16; d = g + 6; x = b + 11; k = f + 8; l = h + 13; e = y + 20; y = x + 1; i = v + 19; b = g + 20; g = 1; f = q + 4. Given that g = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "x + 11", "m": "z + 5", "k": "m + 10", "j": "k + 4", "s": "j + 5", "i": "s + 8", "q": "x + 4", "g": "q + 14", "t": "g + 9", "f": "t + 14", "u": "f + 17", "w": "u + 12", "x": 18}, "premises": {"x": 18}, "target": "i"}, "answer": {"steps": [["s", "j + 5", "j + 13"], ["j", "k + 4", "k + 17"], ["k", "m + 10", "m + 27"], ["m", "z + 5", "z + 32"], ["z", "x + 11", "x + 43"], ["x", 18, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"x": 18}, "is_reverse": true}} | 13,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = q + 14; w = u + 12; x = 18; t = g + 9; i = s + 8; j = k + 4; f = t + 14; m = z + 5; z = x + 11; q = x + 4; s = j + 5; u = f + 17; k = m + 10. If x = 18, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 5 to i, which gives i = j + 13.\n2. Substitute j = k + 4 to i, which gives i = k + 17.\n3. Substitute k = m + 10 to i, which gives i = m + 27.\n4. Substitute m = z + 5 to i, which gives i = z + 32.\n5. Substitute z = x + 11 to i, which gives i = x + 43.\n6. Substitute x = 18 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 13415,
"question": "Consider a system of variables where each variable is defined as follows: g = q + 14; w = u + 12; x = 18; t = g + 9; i = s + 8; j = k + 4; f = t + 14; m = z + 5; z = x + 11; q = x + 4; s = j + 5; u = f + 17; k = m + 10. If x = 18, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 9", "v": "c + 6", "x": "v + 4", "j": "x + 18", "g": "j + 6", "i": "g + 6", "e": "u + 2", "q": "e + 16", "s": "q + 3", "n": "s + 10", "f": "n + 2", "b": "f + 2", "u": 17}, "premises": {"u": 17}, "target": "i"}, "answer": {"steps": [["g", "j + 6", "j + 12"], ["j", "x + 18", "x + 30"], ["x", "v + 4", "v + 34"], ["v", "c + 6", "c + 40"], ["c", "u + 9", "u + 49"], ["u", 17, "66"]], "target_var_name": "i", "target_value": 66, "value_dict": {"u": 17}, "is_reverse": true}} | 13,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 6; n = s + 10; q = e + 16; b = f + 2; j = x + 18; c = u + 9; i = g + 6; u = 17; v = c + 6; x = v + 4; s = q + 3; f = n + 2; e = u + 2. If u = 17, what is the resulting value of i?",
"role": "user"
... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 6 to i, which gives i = j + 12.\n2. Substitute j = x + 18 to i, which gives i = x + 30.\n3. Substitute x = v + 4 to i, which gives i = v + 34.\n4. Substitute v = c + 6 to i, which gives i = c + 40.\n5. Substitute c = u + 9 to i, which gives i = u + 49.\n6. Substitute u = 17 to i, which gives i = 66.\n\nThus, the final answer is i = \\boxed{66}.",
"index": 13416,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 6; n = s + 10; q = e + 16; b = f + 2; j = x + 18; c = u + 9; i = g + 6; u = 17; v = c + 6; x = v + 4; s = q + 3; f = n + 2; e = u + 2. If u = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 7", "x": "n + 12", "d": "x + 10", "c": "d + 15", "v": "c + 20", "w": "v + 14", "y": "k + 3", "g": "y + 4", "f": "g + 3", "a": "f + 2", "t": "a + 4", "i": "t + 2", "k": 7}, "premises": {"k": 7}, "target": "w"}, "answer": {"steps": [["v", "c + 20", "c + 34"], ["c", "d + 15", "d + 49"], ["d", "x + 10", "x + 59"], ["x", "n + 12", "n + 71"], ["n", "k + 7", "k + 78"], ["k", 7, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"k": 7}, "is_reverse": true}} | 13,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 3; c = d + 15; x = n + 12; d = x + 10; g = y + 4; v = c + 20; t = a + 4; i = t + 2; a = f + 2; k = 7; y = k + 3; n = k + 7; w = v + 14. If k = 7, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 20 to w, which gives w = c + 34.\n2. Substitute c = d + 15 to w, which gives w = d + 49.\n3. Substitute d = x + 10 to w, which gives w = x + 59.\n4. Substitute x = n + 12 to w, which gives w = n + 71.\n5. Substitute n = k + 7 to w, which gives w = k + 78.\n6. Substitute k = 7 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 13417,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 3; c = d + 15; x = n + 12; d = x + 10; g = y + 4; v = c + 20; t = a + 4; i = t + 2; a = f + 2; k = 7; y = k + 3; n = k + 7; w = v + 14. If k = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 10", "d": "k + 7", "e": "d + 7", "a": "e + 10", "s": "a + 20", "y": "s + 4", "x": "g + 2", "h": "x + 12", "j": "h + 10", "f": "j + 19", "r": "f + 4", "b": "r + 5", "g": 4}, "premises": {"g": 4}, "target": "y"}, "answer": {"steps": [["s", "a + 20", "a + 24"], ["a", "e + 10", "e + 34"], ["e", "d + 7", "d + 41"], ["d", "k + 7", "k + 48"], ["k", "g + 10", "g + 58"], ["g", 4, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"g": 4}, "is_reverse": true}} | 13,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 19; d = k + 7; j = h + 10; r = f + 4; g = 4; e = d + 7; b = r + 5; y = s + 4; k = g + 10; s = a + 20; a = e + 10; h = x + 12; x = g + 2. Given that g = 4, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 20 to y, which gives y = a + 24.\n2. Substitute a = e + 10 to y, which gives y = e + 34.\n3. Substitute e = d + 7 to y, which gives y = d + 41.\n4. Substitute d = k + 7 to y, which gives y = k + 48.\n5. Substitute k = g + 10 to y, which gives y = g + 58.\n6. Substitute g = 4 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 13418,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 19; d = k + 7; j = h + 10; r = f + 4; g = 4; e = d + 7; b = r + 5; y = s + 4; k = g + 10; s = a + 20; a = e + 10; h = x + 12; x = g + 2. Given that g = 4, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 1", "j": "a + 13", "p": "j + 2", "q": "p + 19", "e": "q + 16", "u": "e + 12", "v": "l + 7", "b": "v + 3", "s": "b + 8", "x": "s + 8", "y": "x + 9", "m": "y + 16", "l": 11}, "premises": {"l": 11}, "target": "u"}, "answer": {"steps": [["e", "q + 16", "q + 28"], ["q", "p + 19", "p + 47"], ["p", "j + 2", "j + 49"], ["j", "a + 13", "a + 62"], ["a", "l + 1", "l + 63"], ["l", 11, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"l": 11}, "is_reverse": true}} | 13,419 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 12; y = x + 9; q = p + 19; x = s + 8; s = b + 8; p = j + 2; l = 11; v = l + 7; e = q + 16; j = a + 13; a = l + 1; b = v + 3; m = y + 16. If l = 11, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 16 to u, which gives u = q + 28.\n2. Substitute q = p + 19 to u, which gives u = p + 47.\n3. Substitute p = j + 2 to u, which gives u = j + 49.\n4. Substitute j = a + 13 to u, which gives u = a + 62.\n5. Substitute a = l + 1 to u, which gives u = l + 63.\n6. Substitute l = 11 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 13419,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 12; y = x + 9; q = p + 19; x = s + 8; s = b + 8; p = j + 2; l = 11; v = l + 7; e = q + 16; j = a + 13; a = l + 1; b = v + 3; m = y + 16. If l = 11, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 14", "y": "h + 18", "k": "y + 9", "l": "k + 15", "x": "l + 4", "r": "x + 2", "e": "q + 6", "w": "e + 14", "t": "w + 8", "i": "t + 5", "o": "i + 1", "d": "o + 8", "q": 15}, "premises": {"q": 15}, "target": "r"}, "answer": {"steps": [["x", "l + 4", "l + 6"], ["l", "k + 15", "k + 21"], ["k", "y + 9", "y + 30"], ["y", "h + 18", "h + 48"], ["h", "q + 14", "q + 62"], ["q", 15, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"q": 15}, "is_reverse": true}} | 13,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = y + 9; t = w + 8; i = t + 5; r = x + 2; l = k + 15; q = 15; x = l + 4; w = e + 14; h = q + 14; e = q + 6; y = h + 18; o = i + 1; d = o + 8. If q = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 4 to r, which gives r = l + 6.\n2. Substitute l = k + 15 to r, which gives r = k + 21.\n3. Substitute k = y + 9 to r, which gives r = y + 30.\n4. Substitute y = h + 18 to r, which gives r = h + 48.\n5. Substitute h = q + 14 to r, which gives r = q + 62.\n6. Substitute q = 15 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 13420,
"question": "Consider a system of variables where each variable is defined as follows: k = y + 9; t = w + 8; i = t + 5; r = x + 2; l = k + 15; q = 15; x = l + 4; w = e + 14; h = q + 14; e = q + 6; y = h + 18; o = i + 1; d = o + 8. If q = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 7", "x": "j + 2", "r": "x + 13", "d": "r + 9", "a": "d + 11", "g": "a + 10", "k": "p + 12", "w": "k + 11", "c": "w + 14", "v": "c + 18", "f": "v + 8", "i": "f + 3", "p": 17}, "premises": {"p": 17}, "target": "g"}, "answer": {"steps": [["a", "d + 11", "d + 21"], ["d", "r + 9", "r + 30"], ["r", "x + 13", "x + 43"], ["x", "j + 2", "j + 45"], ["j", "p + 7", "p + 52"], ["p", 17, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"p": 17}, "is_reverse": true}} | 13,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 7; x = j + 2; c = w + 14; d = r + 9; w = k + 11; v = c + 18; i = f + 3; a = d + 11; p = 17; k = p + 12; g = a + 10; r = x + 13; f = v + 8. If p = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 11 to g, which gives g = d + 21.\n2. Substitute d = r + 9 to g, which gives g = r + 30.\n3. Substitute r = x + 13 to g, which gives g = x + 43.\n4. Substitute x = j + 2 to g, which gives g = j + 45.\n5. Substitute j = p + 7 to g, which gives g = p + 52.\n6. Substitute p = 17 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 13421,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 7; x = j + 2; c = w + 14; d = r + 9; w = k + 11; v = c + 18; i = f + 3; a = d + 11; p = 17; k = p + 12; g = a + 10; r = x + 13; f = v + 8. If p = 17, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 3", "x": "d + 19", "i": "x + 6", "n": "i + 18", "a": "n + 14", "p": "a + 8", "h": "e + 7", "s": "h + 5", "l": "s + 20", "r": "l + 16", "z": "r + 20", "k": "z + 11", "e": 15}, "premises": {"e": 15}, "target": "p"}, "answer": {"steps": [["a", "n + 14", "n + 22"], ["n", "i + 18", "i + 40"], ["i", "x + 6", "x + 46"], ["x", "d + 19", "d + 65"], ["d", "e + 3", "e + 68"], ["e", 15, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"e": 15}, "is_reverse": true}} | 13,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 16; i = x + 6; h = e + 7; e = 15; p = a + 8; n = i + 18; a = n + 14; s = h + 5; k = z + 11; d = e + 3; l = s + 20; z = r + 20; x = d + 19. If e = 15, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 14 to p, which gives p = n + 22.\n2. Substitute n = i + 18 to p, which gives p = i + 40.\n3. Substitute i = x + 6 to p, which gives p = x + 46.\n4. Substitute x = d + 19 to p, which gives p = d + 65.\n5. Substitute d = e + 3 to p, which gives p = e + 68.\n6. Substitute e = 15 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 13422,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 16; i = x + 6; h = e + 7; e = 15; p = a + 8; n = i + 18; a = n + 14; s = h + 5; k = z + 11; d = e + 3; l = s + 20; z = r + 20; x = d + 19. If e = 15, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 2", "w": "x + 14", "q": "w + 17", "c": "q + 17", "p": "c + 9", "l": "p + 17", "h": "v + 5", "d": "h + 4", "n": "d + 16", "g": "n + 16", "t": "g + 14", "b": "t + 12", "v": 12}, "premises": {"v": 12}, "target": "l"}, "answer": {"steps": [["p", "c + 9", "c + 26"], ["c", "q + 17", "q + 43"], ["q", "w + 17", "w + 60"], ["w", "x + 14", "x + 74"], ["x", "v + 2", "v + 76"], ["v", 12, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"v": 12}, "is_reverse": true}} | 13,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 9; w = x + 14; n = d + 16; h = v + 5; b = t + 12; d = h + 4; v = 12; g = n + 16; x = v + 2; c = q + 17; l = p + 17; t = g + 14; q = w + 17. If v = 12, what is the resulting value of l?",
"role": "us... | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 9 to l, which gives l = c + 26.\n2. Substitute c = q + 17 to l, which gives l = q + 43.\n3. Substitute q = w + 17 to l, which gives l = w + 60.\n4. Substitute w = x + 14 to l, which gives l = x + 74.\n5. Substitute x = v + 2 to l, which gives l = v + 76.\n6. Substitute v = 12 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 13423,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 9; w = x + 14; n = d + 16; h = v + 5; b = t + 12; d = h + 4; v = 12; g = n + 16; x = v + 2; c = q + 17; l = p + 17; t = g + 14; q = w + 17. If v = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 2", "c": "e + 10", "z": "c + 8", "j": "z + 8", "l": "j + 20", "k": "l + 3", "w": "n + 8", "t": "w + 3", "q": "t + 18", "o": "q + 6", "s": "o + 20", "d": "s + 10", "n": 11}, "premises": {"n": 11}, "target": "k"}, "answer": {"steps": [["l", "j + 20", "j + 23"], ["j", "z + 8", "z + 31"], ["z", "c + 8", "c + 39"], ["c", "e + 10", "e + 49"], ["e", "n + 2", "n + 51"], ["n", 11, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"n": 11}, "is_reverse": true}} | 13,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 3; z = c + 8; o = q + 6; s = o + 20; q = t + 18; k = l + 3; d = s + 10; c = e + 10; j = z + 8; n = 11; l = j + 20; e = n + 2; w = n + 8. Given that n = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 20 to k, which gives k = j + 23.\n2. Substitute j = z + 8 to k, which gives k = z + 31.\n3. Substitute z = c + 8 to k, which gives k = c + 39.\n4. Substitute c = e + 10 to k, which gives k = e + 49.\n5. Substitute e = n + 2 to k, which gives k = n + 51.\n6. Substitute n = 11 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 13424,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 3; z = c + 8; o = q + 6; s = o + 20; q = t + 18; k = l + 3; d = s + 10; c = e + 10; j = z + 8; n = 11; l = j + 20; e = n + 2; w = n + 8. Given that n = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 3", "g": "d + 17", "e": "g + 5", "v": "e + 17", "j": "v + 15", "r": "j + 20", "f": "z + 7", "p": "f + 1", "q": "p + 11", "o": "q + 11", "h": "o + 19", "y": "h + 18", "z": 5}, "premises": {"z": 5}, "target": "r"}, "answer": {"steps": [["j", "v + 15", "v + 35"], ["v", "e + 17", "e + 52"], ["e", "g + 5", "g + 57"], ["g", "d + 17", "d + 74"], ["d", "z + 3", "z + 77"], ["z", 5, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"z": 5}, "is_reverse": true}} | 13,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 5; q = p + 11; j = v + 15; z = 5; p = f + 1; d = z + 3; f = z + 7; v = e + 17; h = o + 19; g = d + 17; r = j + 20; o = q + 11; y = h + 18. If z = 5, what is the resulting value of r?",
"role": "user... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 15 to r, which gives r = v + 35.\n2. Substitute v = e + 17 to r, which gives r = e + 52.\n3. Substitute e = g + 5 to r, which gives r = g + 57.\n4. Substitute g = d + 17 to r, which gives r = d + 74.\n5. Substitute d = z + 3 to r, which gives r = z + 77.\n6. Substitute z = 5 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 13425,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 5; q = p + 11; j = v + 15; z = 5; p = f + 1; d = z + 3; f = z + 7; v = e + 17; h = o + 19; g = d + 17; r = j + 20; o = q + 11; y = h + 18. If z = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 19", "i": "a + 14", "u": "i + 1", "q": "u + 14", "x": "q + 12", "d": "x + 11", "s": "v + 12", "h": "s + 18", "o": "h + 17", "g": "o + 2", "p": "g + 2", "c": "p + 9", "v": 16}, "premises": {"v": 16}, "target": "d"}, "answer": {"steps": [["x", "q + 12", "q + 23"], ["q", "u + 14", "u + 37"], ["u", "i + 1", "i + 38"], ["i", "a + 14", "a + 52"], ["a", "v + 19", "v + 71"], ["v", 16, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"v": 16}, "is_reverse": true}} | 13,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 14; d = x + 11; o = h + 17; a = v + 19; s = v + 12; h = s + 18; g = o + 2; x = q + 12; p = g + 2; q = u + 14; c = p + 9; u = i + 1; v = 16. If v = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 12 to d, which gives d = q + 23.\n2. Substitute q = u + 14 to d, which gives d = u + 37.\n3. Substitute u = i + 1 to d, which gives d = i + 38.\n4. Substitute i = a + 14 to d, which gives d = a + 52.\n5. Substitute a = v + 19 to d, which gives d = v + 71.\n6. Substitute v = 16 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 13426,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 14; d = x + 11; o = h + 17; a = v + 19; s = v + 12; h = s + 18; g = o + 2; x = q + 12; p = g + 2; q = u + 14; c = p + 9; u = i + 1; v = 16. If v = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 12", "c": "a + 1", "i": "c + 11", "u": "i + 5", "x": "u + 12", "g": "x + 3", "p": "m + 14", "q": "p + 9", "n": "q + 5", "l": "n + 5", "y": "l + 1", "e": "y + 19", "m": 2}, "premises": {"m": 2}, "target": "g"}, "answer": {"steps": [["x", "u + 12", "u + 15"], ["u", "i + 5", "i + 20"], ["i", "c + 11", "c + 31"], ["c", "a + 1", "a + 32"], ["a", "m + 12", "m + 44"], ["m", 2, "46"]], "target_var_name": "g", "target_value": 46, "value_dict": {"m": 2}, "is_reverse": true}} | 13,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 5; g = x + 3; e = y + 19; i = c + 11; x = u + 12; a = m + 12; n = q + 5; q = p + 9; p = m + 14; u = i + 5; c = a + 1; y = l + 1; m = 2. If m = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 12 to g, which gives g = u + 15.\n2. Substitute u = i + 5 to g, which gives g = i + 20.\n3. Substitute i = c + 11 to g, which gives g = c + 31.\n4. Substitute c = a + 1 to g, which gives g = a + 32.\n5. Substitute a = m + 12 to g, which gives g = m + 44.\n6. Substitute m = 2 to g, which gives g = 46.\n\nThus, the final answer is g = \\boxed{46}.",
"index": 13427,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 5; g = x + 3; e = y + 19; i = c + 11; x = u + 12; a = m + 12; n = q + 5; q = p + 9; p = m + 14; u = i + 5; c = a + 1; y = l + 1; m = 2. If m = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 13", "b": "p + 6", "v": "b + 3", "y": "v + 15", "l": "y + 11", "t": "l + 5", "h": "u + 12", "c": "h + 9", "d": "c + 7", "z": "d + 12", "a": "z + 17", "x": "a + 12", "u": 19}, "premises": {"u": 19}, "target": "t"}, "answer": {"steps": [["l", "y + 11", "y + 16"], ["y", "v + 15", "v + 31"], ["v", "b + 3", "b + 34"], ["b", "p + 6", "p + 40"], ["p", "u + 13", "u + 53"], ["u", 19, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"u": 19}, "is_reverse": true}} | 13,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 19; z = d + 12; d = c + 7; c = h + 9; l = y + 11; v = b + 3; p = u + 13; a = z + 17; x = a + 12; y = v + 15; b = p + 6; h = u + 12; t = l + 5. Given that u = 19, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 11 to t, which gives t = y + 16.\n2. Substitute y = v + 15 to t, which gives t = v + 31.\n3. Substitute v = b + 3 to t, which gives t = b + 34.\n4. Substitute b = p + 6 to t, which gives t = p + 40.\n5. Substitute p = u + 13 to t, which gives t = u + 53.\n6. Substitute u = 19 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 13428,
"question": "Suppose a collection of variables is related by the following definitions: u = 19; z = d + 12; d = c + 7; c = h + 9; l = y + 11; v = b + 3; p = u + 13; a = z + 17; x = a + 12; y = v + 15; b = p + 6; h = u + 12; t = l + 5. Given that u = 19, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 8", "t": "j + 7", "r": "t + 12", "u": "r + 20", "i": "u + 8", "v": "i + 10", "q": "e + 20", "l": "q + 15", "k": "l + 11", "f": "k + 19", "h": "f + 15", "o": "h + 7", "e": 3}, "premises": {"e": 3}, "target": "v"}, "answer": {"steps": [["i", "u + 8", "u + 18"], ["u", "r + 20", "r + 38"], ["r", "t + 12", "t + 50"], ["t", "j + 7", "j + 57"], ["j", "e + 8", "e + 65"], ["e", 3, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"e": 3}, "is_reverse": true}} | 13,429 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 10; o = h + 7; l = q + 15; j = e + 8; f = k + 19; q = e + 20; k = l + 11; i = u + 8; e = 3; t = j + 7; h = f + 15; u = r + 20; r = t + 12. If e = 3, what is the resulting value of v?",
"role": "user... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 8 to v, which gives v = u + 18.\n2. Substitute u = r + 20 to v, which gives v = r + 38.\n3. Substitute r = t + 12 to v, which gives v = t + 50.\n4. Substitute t = j + 7 to v, which gives v = j + 57.\n5. Substitute j = e + 8 to v, which gives v = e + 65.\n6. Substitute e = 3 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 13429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 10; o = h + 7; l = q + 15; j = e + 8; f = k + 19; q = e + 20; k = l + 11; i = u + 8; e = 3; t = j + 7; h = f + 15; u = r + 20; r = t + 12. If e = 3, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 13", "l": "y + 18", "p": "l + 19", "h": "p + 5", "t": "h + 16", "m": "t + 1", "q": "d + 9", "a": "q + 2", "z": "a + 1", "s": "z + 2", "f": "s + 12", "k": "f + 18", "d": 9}, "premises": {"d": 9}, "target": "m"}, "answer": {"steps": [["t", "h + 16", "h + 17"], ["h", "p + 5", "p + 22"], ["p", "l + 19", "l + 41"], ["l", "y + 18", "y + 59"], ["y", "d + 13", "d + 72"], ["d", 9, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"d": 9}, "is_reverse": true}} | 13,430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = z + 2; t = h + 16; z = a + 1; q = d + 9; f = s + 12; d = 9; m = t + 1; k = f + 18; p = l + 19; y = d + 13; l = y + 18; a = q + 2; h = p + 5. If d = 9, 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. Substitute t = h + 16 to m, which gives m = h + 17.\n2. Substitute h = p + 5 to m, which gives m = p + 22.\n3. Substitute p = l + 19 to m, which gives m = l + 41.\n4. Substitute l = y + 18 to m, which gives m = y + 59.\n5. Substitute y = d + 13 to m, which gives m = d + 72.\n6. Substitute d = 9 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 13430,
"question": "Consider a system of variables where each variable is defined as follows: s = z + 2; t = h + 16; z = a + 1; q = d + 9; f = s + 12; d = 9; m = t + 1; k = f + 18; p = l + 19; y = d + 13; l = y + 18; a = q + 2; h = p + 5. If d = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 20", "f": "n + 12", "d": "f + 2", "u": "d + 20", "g": "u + 7", "h": "g + 7", "s": "m + 13", "q": "s + 15", "e": "q + 2", "y": "e + 6", "b": "y + 8", "c": "b + 16", "m": 3}, "premises": {"m": 3}, "target": "h"}, "answer": {"steps": [["g", "u + 7", "u + 14"], ["u", "d + 20", "d + 34"], ["d", "f + 2", "f + 36"], ["f", "n + 12", "n + 48"], ["n", "m + 20", "m + 68"], ["m", 3, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"m": 3}, "is_reverse": true}} | 13,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = m + 20; s = m + 13; d = f + 2; c = b + 16; q = s + 15; b = y + 8; f = n + 12; m = 3; y = e + 6; e = q + 2; u = d + 20; h = g + 7; g = u + 7. If m = 3, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = u + 7 to h, which gives h = u + 14.\n2. Substitute u = d + 20 to h, which gives h = d + 34.\n3. Substitute d = f + 2 to h, which gives h = f + 36.\n4. Substitute f = n + 12 to h, which gives h = n + 48.\n5. Substitute n = m + 20 to h, which gives h = m + 68.\n6. Substitute m = 3 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 13431,
"question": "Consider a system of variables where each variable is defined as follows: n = m + 20; s = m + 13; d = f + 2; c = b + 16; q = s + 15; b = y + 8; f = n + 12; m = 3; y = e + 6; e = q + 2; u = d + 20; h = g + 7; g = u + 7. If m = 3, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 15", "r": "m + 15", "k": "r + 17", "q": "k + 14", "y": "q + 18", "u": "y + 17", "v": "o + 13", "e": "v + 3", "j": "e + 16", "n": "j + 5", "l": "n + 19", "d": "l + 14", "o": 15}, "premises": {"o": 15}, "target": "u"}, "answer": {"steps": [["y", "q + 18", "q + 35"], ["q", "k + 14", "k + 49"], ["k", "r + 17", "r + 66"], ["r", "m + 15", "m + 81"], ["m", "o + 15", "o + 96"], ["o", 15, "111"]], "target_var_name": "u", "target_value": 111, "value_dict": {"o": 15}, "is_reverse": true}} | 13,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = v + 3; l = n + 19; v = o + 13; j = e + 16; k = r + 17; n = j + 5; u = y + 17; d = l + 14; r = m + 15; y = q + 18; o = 15; m = o + 15; q = k + 14. Given that o = 15, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 18 to u, which gives u = q + 35.\n2. Substitute q = k + 14 to u, which gives u = k + 49.\n3. Substitute k = r + 17 to u, which gives u = r + 66.\n4. Substitute r = m + 15 to u, which gives u = m + 81.\n5. Substitute m = o + 15 to u, which gives u = o + 96.\n6. Substitute o = 15 to u, which gives u = 111.\n\nThus, the final answer is u = \\boxed{111}.",
"index": 13432,
"question": "Suppose a collection of variables is related by the following definitions: e = v + 3; l = n + 19; v = o + 13; j = e + 16; k = r + 17; n = j + 5; u = y + 17; d = l + 14; r = m + 15; y = q + 18; o = 15; m = o + 15; q = k + 14. Given that o = 15, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 13", "a": "d + 2", "x": "a + 3", "z": "x + 12", "w": "z + 12", "p": "w + 15", "r": "l + 12", "v": "r + 1", "s": "v + 14", "g": "s + 10", "u": "g + 3", "i": "u + 18", "l": 13}, "premises": {"l": 13}, "target": "p"}, "answer": {"steps": [["w", "z + 12", "z + 27"], ["z", "x + 12", "x + 39"], ["x", "a + 3", "a + 42"], ["a", "d + 2", "d + 44"], ["d", "l + 13", "l + 57"], ["l", 13, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"l": 13}, "is_reverse": true}} | 13,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 2; d = l + 13; p = w + 15; g = s + 10; s = v + 14; v = r + 1; l = 13; x = a + 3; r = l + 12; w = z + 12; z = x + 12; u = g + 3; i = u + 18. Given that l = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 12 to p, which gives p = z + 27.\n2. Substitute z = x + 12 to p, which gives p = x + 39.\n3. Substitute x = a + 3 to p, which gives p = a + 42.\n4. Substitute a = d + 2 to p, which gives p = d + 44.\n5. Substitute d = l + 13 to p, which gives p = l + 57.\n6. Substitute l = 13 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 13433,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 2; d = l + 13; p = w + 15; g = s + 10; s = v + 14; v = r + 1; l = 13; x = a + 3; r = l + 12; w = z + 12; z = x + 12; u = g + 3; i = u + 18. Given that l = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 14", "f": "p + 5", "d": "f + 4", "c": "d + 19", "q": "c + 3", "w": "q + 11", "t": "u + 5", "e": "t + 10", "s": "e + 16", "h": "s + 10", "i": "h + 11", "n": "i + 11", "u": 1}, "premises": {"u": 1}, "target": "w"}, "answer": {"steps": [["q", "c + 3", "c + 14"], ["c", "d + 19", "d + 33"], ["d", "f + 4", "f + 37"], ["f", "p + 5", "p + 42"], ["p", "u + 14", "u + 56"], ["u", 1, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"u": 1}, "is_reverse": true}} | 13,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = q + 11; e = t + 10; i = h + 11; s = e + 16; t = u + 5; n = i + 11; c = d + 19; h = s + 10; q = c + 3; u = 1; d = f + 4; f = p + 5; p = u + 14. Given that u = 1, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 3 to w, which gives w = c + 14.\n2. Substitute c = d + 19 to w, which gives w = d + 33.\n3. Substitute d = f + 4 to w, which gives w = f + 37.\n4. Substitute f = p + 5 to w, which gives w = p + 42.\n5. Substitute p = u + 14 to w, which gives w = u + 56.\n6. Substitute u = 1 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 13434,
"question": "Suppose a collection of variables is related by the following definitions: w = q + 11; e = t + 10; i = h + 11; s = e + 16; t = u + 5; n = i + 11; c = d + 19; h = s + 10; q = c + 3; u = 1; d = f + 4; f = p + 5; p = u + 14. Given that u = 1, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 7", "l": "k + 1", "g": "l + 9", "z": "g + 10", "i": "z + 19", "t": "i + 16", "u": "e + 18", "f": "u + 13", "j": "f + 18", "s": "j + 6", "y": "s + 18", "w": "y + 4", "e": 20}, "premises": {"e": 20}, "target": "t"}, "answer": {"steps": [["i", "z + 19", "z + 35"], ["z", "g + 10", "g + 45"], ["g", "l + 9", "l + 54"], ["l", "k + 1", "k + 55"], ["k", "e + 7", "e + 62"], ["e", 20, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"e": 20}, "is_reverse": true}} | 13,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 1; e = 20; k = e + 7; u = e + 18; t = i + 16; w = y + 4; i = z + 19; f = u + 13; s = j + 6; g = l + 9; z = g + 10; j = f + 18; y = s + 18. If e = 20, what is the resulting value of t?",
"role": "use... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 19 to t, which gives t = z + 35.\n2. Substitute z = g + 10 to t, which gives t = g + 45.\n3. Substitute g = l + 9 to t, which gives t = l + 54.\n4. Substitute l = k + 1 to t, which gives t = k + 55.\n5. Substitute k = e + 7 to t, which gives t = e + 62.\n6. Substitute e = 20 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 13435,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 1; e = 20; k = e + 7; u = e + 18; t = i + 16; w = y + 4; i = z + 19; f = u + 13; s = j + 6; g = l + 9; z = g + 10; j = f + 18; y = s + 18. If e = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 14", "b": "h + 5", "o": "b + 11", "w": "o + 17", "t": "w + 4", "s": "t + 12", "m": "d + 5", "z": "m + 9", "e": "z + 15", "a": "e + 12", "p": "a + 9", "k": "p + 7", "d": 15}, "premises": {"d": 15}, "target": "s"}, "answer": {"steps": [["t", "w + 4", "w + 16"], ["w", "o + 17", "o + 33"], ["o", "b + 11", "b + 44"], ["b", "h + 5", "h + 49"], ["h", "d + 14", "d + 63"], ["d", 15, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"d": 15}, "is_reverse": true}} | 13,436 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 12; k = p + 7; w = o + 17; b = h + 5; a = e + 12; t = w + 4; o = b + 11; m = d + 5; e = z + 15; d = 15; z = m + 9; h = d + 14; p = a + 9. If d = 15, what is the resulting value of s?",
"role": "user... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 4 to s, which gives s = w + 16.\n2. Substitute w = o + 17 to s, which gives s = o + 33.\n3. Substitute o = b + 11 to s, which gives s = b + 44.\n4. Substitute b = h + 5 to s, which gives s = h + 49.\n5. Substitute h = d + 14 to s, which gives s = d + 63.\n6. Substitute d = 15 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 13436,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 12; k = p + 7; w = o + 17; b = h + 5; a = e + 12; t = w + 4; o = b + 11; m = d + 5; e = z + 15; d = 15; z = m + 9; h = d + 14; p = a + 9. If d = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 6", "s": "v + 3", "x": "s + 8", "p": "x + 1", "d": "p + 13", "e": "d + 4", "r": "w + 9", "u": "r + 2", "b": "u + 1", "q": "b + 14", "m": "q + 4", "a": "m + 12", "w": 12}, "premises": {"w": 12}, "target": "e"}, "answer": {"steps": [["d", "p + 13", "p + 17"], ["p", "x + 1", "x + 18"], ["x", "s + 8", "s + 26"], ["s", "v + 3", "v + 29"], ["v", "w + 6", "w + 35"], ["w", 12, "47"]], "target_var_name": "e", "target_value": 47, "value_dict": {"w": 12}, "is_reverse": true}} | 13,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 3; v = w + 6; b = u + 1; u = r + 2; p = x + 1; d = p + 13; q = b + 14; e = d + 4; m = q + 4; r = w + 9; x = s + 8; w = 12; a = m + 12. Given that w = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 13 to e, which gives e = p + 17.\n2. Substitute p = x + 1 to e, which gives e = x + 18.\n3. Substitute x = s + 8 to e, which gives e = s + 26.\n4. Substitute s = v + 3 to e, which gives e = v + 29.\n5. Substitute v = w + 6 to e, which gives e = w + 35.\n6. Substitute w = 12 to e, which gives e = 47.\n\nThus, the final answer is e = \\boxed{47}.",
"index": 13437,
"question": "Suppose a collection of variables is related by the following definitions: s = v + 3; v = w + 6; b = u + 1; u = r + 2; p = x + 1; d = p + 13; q = b + 14; e = d + 4; m = q + 4; r = w + 9; x = s + 8; w = 12; a = m + 12. Given that w = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 12", "n": "o + 14", "g": "n + 2", "v": "g + 2", "b": "v + 3", "t": "b + 10", "l": "w + 2", "p": "l + 18", "r": "p + 16", "e": "r + 5", "x": "e + 18", "f": "x + 11", "w": 5}, "premises": {"w": 5}, "target": "t"}, "answer": {"steps": [["b", "v + 3", "v + 13"], ["v", "g + 2", "g + 15"], ["g", "n + 2", "n + 17"], ["n", "o + 14", "o + 31"], ["o", "w + 12", "w + 43"], ["w", 5, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"w": 5}, "is_reverse": true}} | 13,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 12; l = w + 2; v = g + 2; b = v + 3; g = n + 2; e = r + 5; w = 5; f = x + 11; x = e + 18; r = p + 16; p = l + 18; n = o + 14; t = b + 10. Given that w = 5, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 3 to t, which gives t = v + 13.\n2. Substitute v = g + 2 to t, which gives t = g + 15.\n3. Substitute g = n + 2 to t, which gives t = n + 17.\n4. Substitute n = o + 14 to t, which gives t = o + 31.\n5. Substitute o = w + 12 to t, which gives t = w + 43.\n6. Substitute w = 5 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 13438,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 12; l = w + 2; v = g + 2; b = v + 3; g = n + 2; e = r + 5; w = 5; f = x + 11; x = e + 18; r = p + 16; p = l + 18; n = o + 14; t = b + 10. Given that w = 5, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"h": "n + 15", "j": "h + 8", "g": "j + 19", "e": "g + 4", "x": "e + 1", "f": "x + 5", "i": "n + 8", "z": "i + 1", "a": "z + 2", "d": "a + 9", "t": "d + 6", "c": "t + 9", "n": 11}, "premises": {"n": 11}, "target": "f"}, "answer": {"steps": [["x", "e + 1", "e + 6"], ["e", "g + 4", "g + 10"], ["g", "j + 19", "j + 29"], ["j", "h + 8", "h + 37"], ["h", "n + 15", "n + 52"], ["n", 11, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"n": 11}, "is_reverse": true}} | 13,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 9; j = h + 8; t = d + 6; i = n + 8; x = e + 1; e = g + 4; h = n + 15; f = x + 5; n = 11; d = a + 9; g = j + 19; z = i + 1; a = z + 2. If n = 11, what is the resulting value of f?",
"role": "user"
... | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 1 to f, which gives f = e + 6.\n2. Substitute e = g + 4 to f, which gives f = g + 10.\n3. Substitute g = j + 19 to f, which gives f = j + 29.\n4. Substitute j = h + 8 to f, which gives f = h + 37.\n5. Substitute h = n + 15 to f, which gives f = n + 52.\n6. Substitute n = 11 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 13439,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 9; j = h + 8; t = d + 6; i = n + 8; x = e + 1; e = g + 4; h = n + 15; f = x + 5; n = 11; d = a + 9; g = j + 19; z = i + 1; a = z + 2. If n = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 2", "h": "w + 20", "i": "h + 9", "x": "i + 17", "m": "x + 7", "o": "m + 5", "g": "u + 5", "b": "g + 19", "v": "b + 17", "t": "v + 18", "y": "t + 3", "k": "y + 19", "u": 18}, "premises": {"u": 18}, "target": "o"}, "answer": {"steps": [["m", "x + 7", "x + 12"], ["x", "i + 17", "i + 29"], ["i", "h + 9", "h + 38"], ["h", "w + 20", "w + 58"], ["w", "u + 2", "u + 60"], ["u", 18, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"u": 18}, "is_reverse": true}} | 13,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = g + 19; w = u + 2; g = u + 5; v = b + 17; y = t + 3; o = m + 5; t = v + 18; k = y + 19; x = i + 17; m = x + 7; h = w + 20; u = 18; i = h + 9. Given that u = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 7 to o, which gives o = x + 12.\n2. Substitute x = i + 17 to o, which gives o = i + 29.\n3. Substitute i = h + 9 to o, which gives o = h + 38.\n4. Substitute h = w + 20 to o, which gives o = w + 58.\n5. Substitute w = u + 2 to o, which gives o = u + 60.\n6. Substitute u = 18 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 13440,
"question": "Suppose a collection of variables is related by the following definitions: b = g + 19; w = u + 2; g = u + 5; v = b + 17; y = t + 3; o = m + 5; t = v + 18; k = y + 19; x = i + 17; m = x + 7; h = w + 20; u = 18; i = h + 9. Given that u = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 10", "t": "q + 6", "j": "t + 1", "r": "j + 17", "k": "r + 15", "f": "k + 10", "e": "z + 3", "v": "e + 2", "c": "v + 7", "s": "c + 10", "l": "s + 6", "n": "l + 10", "z": 16}, "premises": {"z": 16}, "target": "f"}, "answer": {"steps": [["k", "r + 15", "r + 25"], ["r", "j + 17", "j + 42"], ["j", "t + 1", "t + 43"], ["t", "q + 6", "q + 49"], ["q", "z + 10", "z + 59"], ["z", 16, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"z": 16}, "is_reverse": true}} | 13,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 17; q = z + 10; j = t + 1; s = c + 10; l = s + 6; z = 16; e = z + 3; k = r + 15; n = l + 10; c = v + 7; v = e + 2; t = q + 6; f = k + 10. If z = 16, what is the resulting value of f?",
"role": "user... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 15 to f, which gives f = r + 25.\n2. Substitute r = j + 17 to f, which gives f = j + 42.\n3. Substitute j = t + 1 to f, which gives f = t + 43.\n4. Substitute t = q + 6 to f, which gives f = q + 49.\n5. Substitute q = z + 10 to f, which gives f = z + 59.\n6. Substitute z = 16 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 13441,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = j + 17; q = z + 10; j = t + 1; s = c + 10; l = s + 6; z = 16; e = z + 3; k = r + 15; n = l + 10; c = v + 7; v = e + 2; t = q + 6; f = k + 10. If z = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 5", "x": "l + 7", "b": "x + 19", "r": "b + 11", "m": "r + 9", "t": "m + 20", "v": "w + 4", "f": "v + 10", "a": "f + 10", "d": "a + 4", "o": "d + 11", "p": "o + 17", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["m", "r + 9", "r + 29"], ["r", "b + 11", "b + 40"], ["b", "x + 19", "x + 59"], ["x", "l + 7", "l + 66"], ["l", "w + 5", "w + 71"], ["w", 11, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"w": 11}, "is_reverse": true}} | 13,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 7; a = f + 10; t = m + 20; o = d + 11; r = b + 11; d = a + 4; l = w + 5; p = o + 17; f = v + 10; m = r + 9; v = w + 4; w = 11; b = x + 19. If w = 11, what is the resulting value of t?",
"role": "use... | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 9 to t, which gives t = r + 29.\n2. Substitute r = b + 11 to t, which gives t = b + 40.\n3. Substitute b = x + 19 to t, which gives t = x + 59.\n4. Substitute x = l + 7 to t, which gives t = l + 66.\n5. Substitute l = w + 5 to t, which gives t = w + 71.\n6. Substitute w = 11 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 13442,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 7; a = f + 10; t = m + 20; o = d + 11; r = b + 11; d = a + 4; l = w + 5; p = o + 17; f = v + 10; m = r + 9; v = w + 4; w = 11; b = x + 19. If w = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 7", "n": "f + 19", "u": "n + 18", "s": "u + 11", "t": "s + 10", "m": "t + 20", "h": "p + 8", "b": "h + 12", "i": "b + 12", "q": "i + 2", "z": "q + 17", "g": "z + 7", "p": 11}, "premises": {"p": 11}, "target": "m"}, "answer": {"steps": [["t", "s + 10", "s + 30"], ["s", "u + 11", "u + 41"], ["u", "n + 18", "n + 59"], ["n", "f + 19", "f + 78"], ["f", "p + 7", "p + 85"], ["p", 11, "96"]], "target_var_name": "m", "target_value": 96, "value_dict": {"p": 11}, "is_reverse": true}} | 13,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = z + 7; u = n + 18; n = f + 19; h = p + 8; p = 11; z = q + 17; f = p + 7; t = s + 10; i = b + 12; q = i + 2; s = u + 11; b = h + 12; m = t + 20. Given that p = 11, 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 t = s + 10 to m, which gives m = s + 30.\n2. Substitute s = u + 11 to m, which gives m = u + 41.\n3. Substitute u = n + 18 to m, which gives m = n + 59.\n4. Substitute n = f + 19 to m, which gives m = f + 78.\n5. Substitute f = p + 7 to m, which gives m = p + 85.\n6. Substitute p = 11 to m, which gives m = 96.\n\nThus, the final answer is m = \\boxed{96}.",
"index": 13443,
"question": "Suppose a collection of variables is related by the following definitions: g = z + 7; u = n + 18; n = f + 19; h = p + 8; p = 11; z = q + 17; f = p + 7; t = s + 10; i = b + 12; q = i + 2; s = u + 11; b = h + 12; m = t + 20. Given that p = 11, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 14", "w": "d + 13", "p": "w + 11", "o": "p + 9", "l": "o + 17", "n": "l + 11", "i": "s + 18", "y": "i + 10", "e": "y + 18", "x": "e + 8", "a": "x + 10", "t": "a + 7", "s": 17}, "premises": {"s": 17}, "target": "n"}, "answer": {"steps": [["l", "o + 17", "o + 28"], ["o", "p + 9", "p + 37"], ["p", "w + 11", "w + 48"], ["w", "d + 13", "d + 61"], ["d", "s + 14", "s + 75"], ["s", 17, "92"]], "target_var_name": "n", "target_value": 92, "value_dict": {"s": 17}, "is_reverse": true}} | 13,444 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 11; i = s + 18; o = p + 9; a = x + 10; d = s + 14; e = y + 18; l = o + 17; n = l + 11; t = a + 7; w = d + 13; y = i + 10; x = e + 8; s = 17. Given that s = 17, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 17 to n, which gives n = o + 28.\n2. Substitute o = p + 9 to n, which gives n = p + 37.\n3. Substitute p = w + 11 to n, which gives n = w + 48.\n4. Substitute w = d + 13 to n, which gives n = d + 61.\n5. Substitute d = s + 14 to n, which gives n = s + 75.\n6. Substitute s = 17 to n, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 13444,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 11; i = s + 18; o = p + 9; a = x + 10; d = s + 14; e = y + 18; l = o + 17; n = l + 11; t = a + 7; w = d + 13; y = i + 10; x = e + 8; s = 17. Given that s = 17, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 10", "k": "v + 2", "x": "k + 16", "b": "x + 15", "h": "b + 13", "m": "h + 16", "t": "i + 11", "u": "t + 1", "n": "u + 8", "f": "n + 9", "e": "f + 8", "s": "e + 13", "i": 17}, "premises": {"i": 17}, "target": "m"}, "answer": {"steps": [["h", "b + 13", "b + 29"], ["b", "x + 15", "x + 44"], ["x", "k + 16", "k + 60"], ["k", "v + 2", "v + 62"], ["v", "i + 10", "i + 72"], ["i", 17, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"i": 17}, "is_reverse": true}} | 13,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 15; f = n + 9; k = v + 2; h = b + 13; e = f + 8; m = h + 16; v = i + 10; s = e + 13; i = 17; n = u + 8; u = t + 1; t = i + 11; x = k + 16. If i = 17, what is the resulting value of m?",
"role": "use... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 13 to m, which gives m = b + 29.\n2. Substitute b = x + 15 to m, which gives m = x + 44.\n3. Substitute x = k + 16 to m, which gives m = k + 60.\n4. Substitute k = v + 2 to m, which gives m = v + 62.\n5. Substitute v = i + 10 to m, which gives m = i + 72.\n6. Substitute i = 17 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 13445,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 15; f = n + 9; k = v + 2; h = b + 13; e = f + 8; m = h + 16; v = i + 10; s = e + 13; i = 17; n = u + 8; u = t + 1; t = i + 11; x = k + 16. If i = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 15", "j": "t + 4", "m": "j + 6", "v": "m + 10", "h": "v + 17", "o": "h + 9", "w": "z + 12", "r": "w + 12", "q": "r + 10", "d": "q + 9", "i": "d + 11", "b": "i + 6", "z": 17}, "premises": {"z": 17}, "target": "o"}, "answer": {"steps": [["h", "v + 17", "v + 26"], ["v", "m + 10", "m + 36"], ["m", "j + 6", "j + 42"], ["j", "t + 4", "t + 46"], ["t", "z + 15", "z + 61"], ["z", 17, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"z": 17}, "is_reverse": true}} | 13,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 6; h = v + 17; d = q + 9; z = 17; t = z + 15; w = z + 12; q = r + 10; j = t + 4; v = m + 10; i = d + 11; m = j + 6; o = h + 9; r = w + 12. If z = 17, what is the resulting value of o?",
"role": "use... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 17 to o, which gives o = v + 26.\n2. Substitute v = m + 10 to o, which gives o = m + 36.\n3. Substitute m = j + 6 to o, which gives o = j + 42.\n4. Substitute j = t + 4 to o, which gives o = t + 46.\n5. Substitute t = z + 15 to o, which gives o = z + 61.\n6. Substitute z = 17 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 13446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 6; h = v + 17; d = q + 9; z = 17; t = z + 15; w = z + 12; q = r + 10; j = t + 4; v = m + 10; i = d + 11; m = j + 6; o = h + 9; r = w + 12. If z = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 7", "x": "a + 7", "s": "x + 10", "h": "s + 15", "i": "h + 14", "d": "i + 8", "t": "u + 6", "l": "t + 1", "w": "l + 12", "k": "w + 18", "f": "k + 18", "j": "f + 4", "u": 15}, "premises": {"u": 15}, "target": "d"}, "answer": {"steps": [["i", "h + 14", "h + 22"], ["h", "s + 15", "s + 37"], ["s", "x + 10", "x + 47"], ["x", "a + 7", "a + 54"], ["a", "u + 7", "u + 61"], ["u", 15, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"u": 15}, "is_reverse": true}} | 13,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 1; f = k + 18; x = a + 7; h = s + 15; i = h + 14; w = l + 12; u = 15; j = f + 4; s = x + 10; t = u + 6; d = i + 8; k = w + 18; a = u + 7. If u = 15, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 14 to d, which gives d = h + 22.\n2. Substitute h = s + 15 to d, which gives d = s + 37.\n3. Substitute s = x + 10 to d, which gives d = x + 47.\n4. Substitute x = a + 7 to d, which gives d = a + 54.\n5. Substitute a = u + 7 to d, which gives d = u + 61.\n6. Substitute u = 15 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 13447,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 1; f = k + 18; x = a + 7; h = s + 15; i = h + 14; w = l + 12; u = 15; j = f + 4; s = x + 10; t = u + 6; d = i + 8; k = w + 18; a = u + 7. If u = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 13", "o": "m + 16", "l": "o + 10", "e": "l + 16", "k": "e + 16", "b": "k + 19", "c": "z + 9", "x": "c + 14", "r": "x + 18", "f": "r + 17", "g": "f + 5", "d": "g + 16", "z": 19}, "premises": {"z": 19}, "target": "b"}, "answer": {"steps": [["k", "e + 16", "e + 35"], ["e", "l + 16", "l + 51"], ["l", "o + 10", "o + 61"], ["o", "m + 16", "m + 77"], ["m", "z + 13", "z + 90"], ["z", 19, "109"]], "target_var_name": "b", "target_value": 109, "value_dict": {"z": 19}, "is_reverse": true}} | 13,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 16; o = m + 16; l = o + 10; d = g + 16; r = x + 18; z = 19; x = c + 14; b = k + 19; m = z + 13; g = f + 5; c = z + 9; f = r + 17; e = l + 16. If z = 19, what is the resulting value of b?",
"role": "... | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 16 to b, which gives b = e + 35.\n2. Substitute e = l + 16 to b, which gives b = l + 51.\n3. Substitute l = o + 10 to b, which gives b = o + 61.\n4. Substitute o = m + 16 to b, which gives b = m + 77.\n5. Substitute m = z + 13 to b, which gives b = z + 90.\n6. Substitute z = 19 to b, which gives b = 109.\n\nThus, the final answer is b = \\boxed{109}.",
"index": 13448,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 16; o = m + 16; l = o + 10; d = g + 16; r = x + 18; z = 19; x = c + 14; b = k + 19; m = z + 13; g = f + 5; c = z + 9; f = r + 17; e = l + 16. If z = 19, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 4", "i": "y + 7", "u": "i + 20", "x": "u + 13", "d": "x + 4", "m": "d + 14", "v": "f + 9", "h": "v + 20", "q": "h + 20", "n": "q + 18", "k": "n + 3", "c": "k + 18", "f": 18}, "premises": {"f": 18}, "target": "m"}, "answer": {"steps": [["d", "x + 4", "x + 18"], ["x", "u + 13", "u + 31"], ["u", "i + 20", "i + 51"], ["i", "y + 7", "y + 58"], ["y", "f + 4", "f + 62"], ["f", 18, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"f": 18}, "is_reverse": true}} | 13,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 20; x = u + 13; u = i + 20; y = f + 4; q = h + 20; f = 18; c = k + 18; d = x + 4; m = d + 14; v = f + 9; k = n + 3; n = q + 18; i = y + 7. If f = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 4 to m, which gives m = x + 18.\n2. Substitute x = u + 13 to m, which gives m = u + 31.\n3. Substitute u = i + 20 to m, which gives m = i + 51.\n4. Substitute i = y + 7 to m, which gives m = y + 58.\n5. Substitute y = f + 4 to m, which gives m = f + 62.\n6. Substitute f = 18 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 13449,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 20; x = u + 13; u = i + 20; y = f + 4; q = h + 20; f = 18; c = k + 18; d = x + 4; m = d + 14; v = f + 9; k = n + 3; n = q + 18; i = y + 7. If f = 18, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 5", "f": "l + 15", "o": "f + 16", "t": "o + 14", "j": "t + 12", "y": "j + 5", "e": "n + 6", "k": "e + 6", "g": "k + 14", "a": "g + 13", "q": "a + 18", "w": "q + 2", "n": 18}, "premises": {"n": 18}, "target": "y"}, "answer": {"steps": [["j", "t + 12", "t + 17"], ["t", "o + 14", "o + 31"], ["o", "f + 16", "f + 47"], ["f", "l + 15", "l + 62"], ["l", "n + 5", "n + 67"], ["n", 18, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"n": 18}, "is_reverse": true}} | 13,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 14; k = e + 6; y = j + 5; w = q + 2; l = n + 5; e = n + 6; q = a + 18; g = k + 14; f = l + 15; a = g + 13; o = f + 16; j = t + 12; n = 18. If n = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 12 to y, which gives y = t + 17.\n2. Substitute t = o + 14 to y, which gives y = o + 31.\n3. Substitute o = f + 16 to y, which gives y = f + 47.\n4. Substitute f = l + 15 to y, which gives y = l + 62.\n5. Substitute l = n + 5 to y, which gives y = n + 67.\n6. Substitute n = 18 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 13450,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 14; k = e + 6; y = j + 5; w = q + 2; l = n + 5; e = n + 6; q = a + 18; g = k + 14; f = l + 15; a = g + 13; o = f + 16; j = t + 12; n = 18. If n = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 16", "a": "o + 2", "x": "a + 14", "m": "x + 10", "k": "m + 7", "c": "k + 6", "d": "v + 2", "s": "d + 6", "h": "s + 13", "i": "h + 13", "n": "i + 14", "j": "n + 1", "v": 6}, "premises": {"v": 6}, "target": "c"}, "answer": {"steps": [["k", "m + 7", "m + 13"], ["m", "x + 10", "x + 23"], ["x", "a + 14", "a + 37"], ["a", "o + 2", "o + 39"], ["o", "v + 16", "v + 55"], ["v", 6, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"v": 6}, "is_reverse": true}} | 13,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 6; n = i + 14; v = 6; k = m + 7; x = a + 14; o = v + 16; h = s + 13; c = k + 6; d = v + 2; m = x + 10; i = h + 13; a = o + 2; j = n + 1. If v = 6, what is the resulting value of c?",
"role": "user"
... | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 7 to c, which gives c = m + 13.\n2. Substitute m = x + 10 to c, which gives c = x + 23.\n3. Substitute x = a + 14 to c, which gives c = a + 37.\n4. Substitute a = o + 2 to c, which gives c = o + 39.\n5. Substitute o = v + 16 to c, which gives c = v + 55.\n6. Substitute v = 6 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 13451,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 6; n = i + 14; v = 6; k = m + 7; x = a + 14; o = v + 16; h = s + 13; c = k + 6; d = v + 2; m = x + 10; i = h + 13; a = o + 2; j = n + 1. If v = 6, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 10", "m": "u + 1", "b": "m + 13", "r": "b + 6", "h": "r + 12", "x": "h + 5", "a": "q + 6", "g": "a + 18", "l": "g + 4", "p": "l + 9", "y": "p + 2", "f": "y + 6", "q": 5}, "premises": {"q": 5}, "target": "x"}, "answer": {"steps": [["h", "r + 12", "r + 17"], ["r", "b + 6", "b + 23"], ["b", "m + 13", "m + 36"], ["m", "u + 1", "u + 37"], ["u", "q + 10", "q + 47"], ["q", 5, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"q": 5}, "is_reverse": true}} | 13,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 13; g = a + 18; u = q + 10; p = l + 9; a = q + 6; q = 5; l = g + 4; h = r + 12; x = h + 5; m = u + 1; y = p + 2; r = b + 6; f = y + 6. Given that q = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 12 to x, which gives x = r + 17.\n2. Substitute r = b + 6 to x, which gives x = b + 23.\n3. Substitute b = m + 13 to x, which gives x = m + 36.\n4. Substitute m = u + 1 to x, which gives x = u + 37.\n5. Substitute u = q + 10 to x, which gives x = q + 47.\n6. Substitute q = 5 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 13452,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 13; g = a + 18; u = q + 10; p = l + 9; a = q + 6; q = 5; l = g + 4; h = r + 12; x = h + 5; m = u + 1; y = p + 2; r = b + 6; f = y + 6. Given that q = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 19", "q": "f + 9", "l": "q + 10", "v": "l + 14", "g": "v + 3", "w": "g + 7", "j": "b + 16", "n": "j + 1", "d": "n + 3", "s": "d + 1", "m": "s + 19", "a": "m + 4", "b": 7}, "premises": {"b": 7}, "target": "w"}, "answer": {"steps": [["g", "v + 3", "v + 10"], ["v", "l + 14", "l + 24"], ["l", "q + 10", "q + 34"], ["q", "f + 9", "f + 43"], ["f", "b + 19", "b + 62"], ["b", 7, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"b": 7}, "is_reverse": true}} | 13,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 7; b = 7; v = l + 14; m = s + 19; n = j + 1; q = f + 9; f = b + 19; g = v + 3; l = q + 10; d = n + 3; a = m + 4; j = b + 16; s = d + 1. If b = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 3 to w, which gives w = v + 10.\n2. Substitute v = l + 14 to w, which gives w = l + 24.\n3. Substitute l = q + 10 to w, which gives w = q + 34.\n4. Substitute q = f + 9 to w, which gives w = f + 43.\n5. Substitute f = b + 19 to w, which gives w = b + 62.\n6. Substitute b = 7 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 13453,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 7; b = 7; v = l + 14; m = s + 19; n = j + 1; q = f + 9; f = b + 19; g = v + 3; l = q + 10; d = n + 3; a = m + 4; j = b + 16; s = d + 1. If b = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 18", "x": "f + 15", "p": "x + 4", "u": "p + 15", "y": "u + 3", "j": "y + 12", "o": "d + 6", "c": "o + 7", "g": "c + 11", "k": "g + 19", "q": "k + 13", "r": "q + 11", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["y", "u + 3", "u + 15"], ["u", "p + 15", "p + 30"], ["p", "x + 4", "x + 34"], ["x", "f + 15", "f + 49"], ["f", "d + 18", "d + 67"], ["d", 4, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"d": 4}, "is_reverse": true}} | 13,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 12; q = k + 13; f = d + 18; x = f + 15; o = d + 6; k = g + 19; y = u + 3; g = c + 11; u = p + 15; c = o + 7; r = q + 11; p = x + 4; d = 4. Given that d = 4, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 3 to j, which gives j = u + 15.\n2. Substitute u = p + 15 to j, which gives j = p + 30.\n3. Substitute p = x + 4 to j, which gives j = x + 34.\n4. Substitute x = f + 15 to j, which gives j = f + 49.\n5. Substitute f = d + 18 to j, which gives j = d + 67.\n6. Substitute d = 4 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 13454,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 12; q = k + 13; f = d + 18; x = f + 15; o = d + 6; k = g + 19; y = u + 3; g = c + 11; u = p + 15; c = o + 7; r = q + 11; p = x + 4; d = 4. Given that d = 4, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 4", "o": "j + 5", "w": "o + 4", "m": "w + 7", "a": "m + 20", "x": "a + 6", "i": "t + 17", "c": "i + 19", "y": "c + 1", "g": "y + 10", "q": "g + 14", "u": "q + 1", "t": 5}, "premises": {"t": 5}, "target": "x"}, "answer": {"steps": [["a", "m + 20", "m + 26"], ["m", "w + 7", "w + 33"], ["w", "o + 4", "o + 37"], ["o", "j + 5", "j + 42"], ["j", "t + 4", "t + 46"], ["t", 5, "51"]], "target_var_name": "x", "target_value": 51, "value_dict": {"t": 5}, "is_reverse": true}} | 13,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = c + 1; w = o + 4; a = m + 20; m = w + 7; i = t + 17; q = g + 14; c = i + 19; x = a + 6; g = y + 10; t = 5; u = q + 1; o = j + 5; j = t + 4. If t = 5, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 20 to x, which gives x = m + 26.\n2. Substitute m = w + 7 to x, which gives x = w + 33.\n3. Substitute w = o + 4 to x, which gives x = o + 37.\n4. Substitute o = j + 5 to x, which gives x = j + 42.\n5. Substitute j = t + 4 to x, which gives x = t + 46.\n6. Substitute t = 5 to x, which gives x = 51.\n\nThus, the final answer is x = \\boxed{51}.",
"index": 13455,
"question": "Consider a system of variables where each variable is defined as follows: y = c + 1; w = o + 4; a = m + 20; m = w + 7; i = t + 17; q = g + 14; c = i + 19; x = a + 6; g = y + 10; t = 5; u = q + 1; o = j + 5; j = t + 4. If t = 5, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 10", "c": "q + 16", "i": "c + 18", "b": "i + 16", "o": "b + 20", "z": "o + 5", "v": "w + 1", "t": "v + 12", "r": "t + 15", "u": "r + 17", "n": "u + 14", "k": "n + 14", "w": 18}, "premises": {"w": 18}, "target": "z"}, "answer": {"steps": [["o", "b + 20", "b + 25"], ["b", "i + 16", "i + 41"], ["i", "c + 18", "c + 59"], ["c", "q + 16", "q + 75"], ["q", "w + 10", "w + 85"], ["w", 18, "103"]], "target_var_name": "z", "target_value": 103, "value_dict": {"w": 18}, "is_reverse": true}} | 13,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 16; i = c + 18; v = w + 1; z = o + 5; t = v + 12; n = u + 14; r = t + 15; q = w + 10; b = i + 16; u = r + 17; o = b + 20; w = 18; k = n + 14. If w = 18, what is the resulting value of z?",
"role": "... | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 20 to z, which gives z = b + 25.\n2. Substitute b = i + 16 to z, which gives z = i + 41.\n3. Substitute i = c + 18 to z, which gives z = c + 59.\n4. Substitute c = q + 16 to z, which gives z = q + 75.\n5. Substitute q = w + 10 to z, which gives z = w + 85.\n6. Substitute w = 18 to z, which gives z = 103.\n\nThus, the final answer is z = \\boxed{103}.",
"index": 13456,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 16; i = c + 18; v = w + 1; z = o + 5; t = v + 12; n = u + 14; r = t + 15; q = w + 10; b = i + 16; u = r + 17; o = b + 20; w = 18; k = n + 14. If w = 18, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 20", "q": "k + 7", "p": "q + 14", "l": "p + 17", "h": "l + 6", "g": "h + 17", "i": "a + 15", "v": "i + 15", "n": "v + 20", "y": "n + 5", "c": "y + 11", "o": "c + 16", "a": 14}, "premises": {"a": 14}, "target": "g"}, "answer": {"steps": [["h", "l + 6", "l + 23"], ["l", "p + 17", "p + 40"], ["p", "q + 14", "q + 54"], ["q", "k + 7", "k + 61"], ["k", "a + 20", "a + 81"], ["a", 14, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"a": 14}, "is_reverse": true}} | 13,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 17; v = i + 15; p = q + 14; c = y + 11; y = n + 5; o = c + 16; l = p + 17; i = a + 15; q = k + 7; k = a + 20; h = l + 6; a = 14; n = v + 20. Given that a = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 6 to g, which gives g = l + 23.\n2. Substitute l = p + 17 to g, which gives g = p + 40.\n3. Substitute p = q + 14 to g, which gives g = q + 54.\n4. Substitute q = k + 7 to g, which gives g = k + 61.\n5. Substitute k = a + 20 to g, which gives g = a + 81.\n6. Substitute a = 14 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 13457,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 17; v = i + 15; p = q + 14; c = y + 11; y = n + 5; o = c + 16; l = p + 17; i = a + 15; q = k + 7; k = a + 20; h = l + 6; a = 14; n = v + 20. Given that a = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 11", "i": "z + 3", "p": "i + 20", "q": "p + 3", "x": "q + 2", "n": "x + 12", "o": "t + 9", "v": "o + 3", "a": "v + 12", "r": "a + 15", "y": "r + 15", "f": "y + 5", "t": 15}, "premises": {"t": 15}, "target": "n"}, "answer": {"steps": [["x", "q + 2", "q + 14"], ["q", "p + 3", "p + 17"], ["p", "i + 20", "i + 37"], ["i", "z + 3", "z + 40"], ["z", "t + 11", "t + 51"], ["t", 15, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"t": 15}, "is_reverse": true}} | 13,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 15; t = 15; z = t + 11; x = q + 2; i = z + 3; o = t + 9; v = o + 3; a = v + 12; f = y + 5; p = i + 20; n = x + 12; q = p + 3; r = a + 15. Given that t = 15, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 2 to n, which gives n = q + 14.\n2. Substitute q = p + 3 to n, which gives n = p + 17.\n3. Substitute p = i + 20 to n, which gives n = i + 37.\n4. Substitute i = z + 3 to n, which gives n = z + 40.\n5. Substitute z = t + 11 to n, which gives n = t + 51.\n6. Substitute t = 15 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 13458,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 15; t = 15; z = t + 11; x = q + 2; i = z + 3; o = t + 9; v = o + 3; a = v + 12; f = y + 5; p = i + 20; n = x + 12; q = p + 3; r = a + 15. Given that t = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 10", "r": "t + 17", "n": "r + 9", "m": "n + 8", "k": "m + 16", "b": "k + 3", "a": "p + 19", "g": "a + 19", "h": "g + 1", "q": "h + 18", "x": "q + 16", "e": "x + 14", "p": 9}, "premises": {"p": 9}, "target": "b"}, "answer": {"steps": [["k", "m + 16", "m + 19"], ["m", "n + 8", "n + 27"], ["n", "r + 9", "r + 36"], ["r", "t + 17", "t + 53"], ["t", "p + 10", "p + 63"], ["p", 9, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"p": 9}, "is_reverse": true}} | 13,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 19; e = x + 14; g = a + 19; k = m + 16; m = n + 8; b = k + 3; p = 9; x = q + 16; t = p + 10; n = r + 9; h = g + 1; q = h + 18; r = t + 17. If p = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 16 to b, which gives b = m + 19.\n2. Substitute m = n + 8 to b, which gives b = n + 27.\n3. Substitute n = r + 9 to b, which gives b = r + 36.\n4. Substitute r = t + 17 to b, which gives b = t + 53.\n5. Substitute t = p + 10 to b, which gives b = p + 63.\n6. Substitute p = 9 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 13459,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 19; e = x + 14; g = a + 19; k = m + 16; m = n + 8; b = k + 3; p = 9; x = q + 16; t = p + 10; n = r + 9; h = g + 1; q = h + 18; r = t + 17. If p = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 3", "d": "w + 17", "c": "d + 13", "r": "c + 16", "e": "r + 14", "v": "e + 14", "j": "t + 12", "m": "j + 3", "h": "m + 17", "s": "h + 10", "z": "s + 8", "b": "z + 11", "t": 7}, "premises": {"t": 7}, "target": "v"}, "answer": {"steps": [["e", "r + 14", "r + 28"], ["r", "c + 16", "c + 44"], ["c", "d + 13", "d + 57"], ["d", "w + 17", "w + 74"], ["w", "t + 3", "t + 77"], ["t", 7, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"t": 7}, "is_reverse": true}} | 13,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = j + 3; z = s + 8; b = z + 11; v = e + 14; c = d + 13; d = w + 17; t = 7; h = m + 17; s = h + 10; w = t + 3; e = r + 14; r = c + 16; j = t + 12. Given that t = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 14 to v, which gives v = r + 28.\n2. Substitute r = c + 16 to v, which gives v = c + 44.\n3. Substitute c = d + 13 to v, which gives v = d + 57.\n4. Substitute d = w + 17 to v, which gives v = w + 74.\n5. Substitute w = t + 3 to v, which gives v = t + 77.\n6. Substitute t = 7 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 13460,
"question": "Suppose a collection of variables is related by the following definitions: m = j + 3; z = s + 8; b = z + 11; v = e + 14; c = d + 13; d = w + 17; t = 7; h = m + 17; s = h + 10; w = t + 3; e = r + 14; r = c + 16; j = t + 12. Given that t = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 3", "y": "r + 5", "e": "y + 18", "h": "e + 12", "l": "h + 18", "c": "l + 12", "z": "t + 11", "p": "z + 15", "m": "p + 3", "x": "m + 6", "a": "x + 19", "q": "a + 6", "t": 5}, "premises": {"t": 5}, "target": "c"}, "answer": {"steps": [["l", "h + 18", "h + 30"], ["h", "e + 12", "e + 42"], ["e", "y + 18", "y + 60"], ["y", "r + 5", "r + 65"], ["r", "t + 3", "t + 68"], ["t", 5, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"t": 5}, "is_reverse": true}} | 13,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 11; m = p + 3; q = a + 6; y = r + 5; p = z + 15; c = l + 12; r = t + 3; t = 5; l = h + 18; a = x + 19; x = m + 6; e = y + 18; h = e + 12. If t = 5, what is the resulting value of c?",
"role": "user"... | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 18 to c, which gives c = h + 30.\n2. Substitute h = e + 12 to c, which gives c = e + 42.\n3. Substitute e = y + 18 to c, which gives c = y + 60.\n4. Substitute y = r + 5 to c, which gives c = r + 65.\n5. Substitute r = t + 3 to c, which gives c = t + 68.\n6. Substitute t = 5 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 13461,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = t + 11; m = p + 3; q = a + 6; y = r + 5; p = z + 15; c = l + 12; r = t + 3; t = 5; l = h + 18; a = x + 19; x = m + 6; e = y + 18; h = e + 12. If t = 5, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "i + 14", "k": "t + 14", "r": "k + 10", "s": "r + 14", "l": "s + 12", "d": "l + 8", "v": "i + 2", "y": "v + 13", "o": "y + 8", "n": "o + 4", "f": "n + 20", "b": "f + 18", "i": 2}, "premises": {"i": 2}, "target": "d"}, "answer": {"steps": [["l", "s + 12", "s + 20"], ["s", "r + 14", "r + 34"], ["r", "k + 10", "k + 44"], ["k", "t + 14", "t + 58"], ["t", "i + 14", "i + 72"], ["i", 2, "74"]], "target_var_name": "d", "target_value": 74, "value_dict": {"i": 2}, "is_reverse": true}} | 13,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 2; d = l + 8; r = k + 10; f = n + 20; s = r + 14; k = t + 14; b = f + 18; l = s + 12; t = i + 14; o = y + 8; y = v + 13; v = i + 2; n = o + 4. If i = 2, what is the resulting value of d?",
"role": "user... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 12 to d, which gives d = s + 20.\n2. Substitute s = r + 14 to d, which gives d = r + 34.\n3. Substitute r = k + 10 to d, which gives d = k + 44.\n4. Substitute k = t + 14 to d, which gives d = t + 58.\n5. Substitute t = i + 14 to d, which gives d = i + 72.\n6. Substitute i = 2 to d, which gives d = 74.\n\nThus, the final answer is d = \\boxed{74}.",
"index": 13462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 2; d = l + 8; r = k + 10; f = n + 20; s = r + 14; k = t + 14; b = f + 18; l = s + 12; t = i + 14; o = y + 8; y = v + 13; v = i + 2; n = o + 4. If i = 2, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 17", "q": "f + 13", "x": "q + 14", "h": "x + 7", "g": "h + 9", "v": "g + 9", "n": "u + 17", "r": "n + 20", "k": "r + 11", "d": "k + 4", "l": "d + 6", "w": "l + 7", "u": 5}, "premises": {"u": 5}, "target": "v"}, "answer": {"steps": [["g", "h + 9", "h + 18"], ["h", "x + 7", "x + 25"], ["x", "q + 14", "q + 39"], ["q", "f + 13", "f + 52"], ["f", "u + 17", "u + 69"], ["u", 5, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"u": 5}, "is_reverse": true}} | 13,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = k + 4; r = n + 20; w = l + 7; g = h + 9; h = x + 7; n = u + 17; f = u + 17; q = f + 13; x = q + 14; v = g + 9; k = r + 11; l = d + 6; u = 5. If u = 5, what is the resulting value of v?",
"role": "user"
... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 9 to v, which gives v = h + 18.\n2. Substitute h = x + 7 to v, which gives v = x + 25.\n3. Substitute x = q + 14 to v, which gives v = q + 39.\n4. Substitute q = f + 13 to v, which gives v = f + 52.\n5. Substitute f = u + 17 to v, which gives v = u + 69.\n6. Substitute u = 5 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 13463,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = k + 4; r = n + 20; w = l + 7; g = h + 9; h = x + 7; n = u + 17; f = u + 17; q = f + 13; x = q + 14; v = g + 9; k = r + 11; l = d + 6; u = 5. If u = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"t": "b + 1", "e": "t + 9", "u": "e + 19", "s": "u + 1", "h": "s + 19", "y": "h + 17", "d": "b + 12", "o": "d + 1", "v": "o + 15", "n": "v + 17", "r": "n + 17", "c": "r + 16", "b": 15}, "premises": {"b": 15}, "target": "y"}, "answer": {"steps": [["h", "s + 19", "s + 36"], ["s", "u + 1", "u + 37"], ["u", "e + 19", "e + 56"], ["e", "t + 9", "t + 65"], ["t", "b + 1", "b + 66"], ["b", 15, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"b": 15}, "is_reverse": true}} | 13,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 9; c = r + 16; s = u + 1; u = e + 19; o = d + 1; d = b + 12; v = o + 15; h = s + 19; t = b + 1; r = n + 17; n = v + 17; y = h + 17; b = 15. Given that b = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 19 to y, which gives y = s + 36.\n2. Substitute s = u + 1 to y, which gives y = u + 37.\n3. Substitute u = e + 19 to y, which gives y = e + 56.\n4. Substitute e = t + 9 to y, which gives y = t + 65.\n5. Substitute t = b + 1 to y, which gives y = b + 66.\n6. Substitute b = 15 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 13464,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 9; c = r + 16; s = u + 1; u = e + 19; o = d + 1; d = b + 12; v = o + 15; h = s + 19; t = b + 1; r = n + 17; n = v + 17; y = h + 17; b = 15. Given that b = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 14", "q": "e + 18", "r": "q + 9", "x": "r + 3", "g": "x + 4", "h": "g + 11", "z": "b + 16", "m": "z + 15", "d": "m + 15", "v": "d + 1", "s": "v + 9", "j": "s + 18", "b": 16}, "premises": {"b": 16}, "target": "h"}, "answer": {"steps": [["g", "x + 4", "x + 15"], ["x", "r + 3", "r + 18"], ["r", "q + 9", "q + 27"], ["q", "e + 18", "e + 45"], ["e", "b + 14", "b + 59"], ["b", 16, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"b": 16}, "is_reverse": true}} | 13,465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 11; g = x + 4; d = m + 15; j = s + 18; e = b + 14; q = e + 18; z = b + 16; r = q + 9; b = 16; s = v + 9; x = r + 3; m = z + 15; v = d + 1. If b = 16, what is the resulting value of h?",
"role": "use... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 4 to h, which gives h = x + 15.\n2. Substitute x = r + 3 to h, which gives h = r + 18.\n3. Substitute r = q + 9 to h, which gives h = q + 27.\n4. Substitute q = e + 18 to h, which gives h = e + 45.\n5. Substitute e = b + 14 to h, which gives h = b + 59.\n6. Substitute b = 16 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 13465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = g + 11; g = x + 4; d = m + 15; j = s + 18; e = b + 14; q = e + 18; z = b + 16; r = q + 9; b = 16; s = v + 9; x = r + 3; m = z + 15; v = d + 1. If b = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 2", "x": "h + 4", "k": "x + 19", "o": "k + 13", "z": "o + 14", "d": "z + 5", "v": "r + 4", "y": "v + 1", "p": "y + 2", "c": "p + 12", "b": "c + 13", "i": "b + 1", "r": 15}, "premises": {"r": 15}, "target": "d"}, "answer": {"steps": [["z", "o + 14", "o + 19"], ["o", "k + 13", "k + 32"], ["k", "x + 19", "x + 51"], ["x", "h + 4", "h + 55"], ["h", "r + 2", "r + 57"], ["r", 15, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"r": 15}, "is_reverse": true}} | 13,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = r + 2; x = h + 4; c = p + 12; r = 15; i = b + 1; o = k + 13; v = r + 4; y = v + 1; b = c + 13; p = y + 2; z = o + 14; k = x + 19; d = z + 5. If r = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 14 to d, which gives d = o + 19.\n2. Substitute o = k + 13 to d, which gives d = k + 32.\n3. Substitute k = x + 19 to d, which gives d = x + 51.\n4. Substitute x = h + 4 to d, which gives d = h + 55.\n5. Substitute h = r + 2 to d, which gives d = r + 57.\n6. Substitute r = 15 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 13466,
"question": "Consider a system of variables where each variable is defined as follows: h = r + 2; x = h + 4; c = p + 12; r = 15; i = b + 1; o = k + 13; v = r + 4; y = v + 1; b = c + 13; p = y + 2; z = o + 14; k = x + 19; d = z + 5. If r = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 3", "f": "h + 3", "m": "f + 11", "c": "m + 5", "j": "c + 3", "b": "j + 19", "q": "p + 9", "k": "q + 18", "o": "k + 17", "r": "o + 7", "v": "r + 11", "u": "v + 13", "p": 20}, "premises": {"p": 20}, "target": "b"}, "answer": {"steps": [["j", "c + 3", "c + 22"], ["c", "m + 5", "m + 27"], ["m", "f + 11", "f + 38"], ["f", "h + 3", "h + 41"], ["h", "p + 3", "p + 44"], ["p", 20, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"p": 20}, "is_reverse": true}} | 13,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 7; k = q + 18; c = m + 5; f = h + 3; o = k + 17; b = j + 19; q = p + 9; p = 20; j = c + 3; u = v + 13; h = p + 3; m = f + 11; v = r + 11. If p = 20, what is the resulting value of b?",
"role": "user... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 3 to b, which gives b = c + 22.\n2. Substitute c = m + 5 to b, which gives b = m + 27.\n3. Substitute m = f + 11 to b, which gives b = f + 38.\n4. Substitute f = h + 3 to b, which gives b = h + 41.\n5. Substitute h = p + 3 to b, which gives b = p + 44.\n6. Substitute p = 20 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 13467,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 7; k = q + 18; c = m + 5; f = h + 3; o = k + 17; b = j + 19; q = p + 9; p = 20; j = c + 3; u = v + 13; h = p + 3; m = f + 11; v = r + 11. If p = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 14", "a": "s + 16", "l": "a + 12", "z": "l + 9", "u": "z + 16", "x": "u + 8", "h": "j + 13", "r": "h + 7", "f": "r + 9", "y": "f + 11", "e": "y + 18", "k": "e + 9", "j": 20}, "premises": {"j": 20}, "target": "x"}, "answer": {"steps": [["u", "z + 16", "z + 24"], ["z", "l + 9", "l + 33"], ["l", "a + 12", "a + 45"], ["a", "s + 16", "s + 61"], ["s", "j + 14", "j + 75"], ["j", 20, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"j": 20}, "is_reverse": true}} | 13,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 9; y = f + 11; f = r + 9; e = y + 18; s = j + 14; k = e + 9; l = a + 12; j = 20; x = u + 8; r = h + 7; h = j + 13; a = s + 16; u = z + 16. If j = 20, 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. Substitute u = z + 16 to x, which gives x = z + 24.\n2. Substitute z = l + 9 to x, which gives x = l + 33.\n3. Substitute l = a + 12 to x, which gives x = a + 45.\n4. Substitute a = s + 16 to x, which gives x = s + 61.\n5. Substitute s = j + 14 to x, which gives x = j + 75.\n6. Substitute j = 20 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 13468,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 9; y = f + 11; f = r + 9; e = y + 18; s = j + 14; k = e + 9; l = a + 12; j = 20; x = u + 8; r = h + 7; h = j + 13; a = s + 16; u = z + 16. If j = 20, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 3", "v": "b + 4", "i": "v + 12", "s": "i + 16", "z": "s + 18", "p": "z + 5", "n": "g + 19", "q": "n + 5", "e": "q + 20", "d": "e + 15", "r": "d + 5", "t": "r + 6", "g": 10}, "premises": {"g": 10}, "target": "p"}, "answer": {"steps": [["z", "s + 18", "s + 23"], ["s", "i + 16", "i + 39"], ["i", "v + 12", "v + 51"], ["v", "b + 4", "b + 55"], ["b", "g + 3", "g + 58"], ["g", 10, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"g": 10}, "is_reverse": true}} | 13,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 19; i = v + 12; d = e + 15; s = i + 16; t = r + 6; q = n + 5; p = z + 5; e = q + 20; g = 10; z = s + 18; r = d + 5; b = g + 3; v = b + 4. If g = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 18 to p, which gives p = s + 23.\n2. Substitute s = i + 16 to p, which gives p = i + 39.\n3. Substitute i = v + 12 to p, which gives p = v + 51.\n4. Substitute v = b + 4 to p, which gives p = b + 55.\n5. Substitute b = g + 3 to p, which gives p = g + 58.\n6. Substitute g = 10 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 13469,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 19; i = v + 12; d = e + 15; s = i + 16; t = r + 6; q = n + 5; p = z + 5; e = q + 20; g = 10; z = s + 18; r = d + 5; b = g + 3; v = b + 4. If g = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 5", "u": "x + 19", "l": "u + 19", "r": "l + 13", "y": "r + 5", "n": "y + 5", "q": "v + 15", "p": "q + 4", "c": "p + 15", "o": "c + 13", "a": "o + 1", "e": "a + 5", "v": 12}, "premises": {"v": 12}, "target": "n"}, "answer": {"steps": [["y", "r + 5", "r + 10"], ["r", "l + 13", "l + 23"], ["l", "u + 19", "u + 42"], ["u", "x + 19", "x + 61"], ["x", "v + 5", "v + 66"], ["v", 12, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"v": 12}, "is_reverse": true}} | 13,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 5; x = v + 5; l = u + 19; a = o + 1; e = a + 5; q = v + 15; c = p + 15; p = q + 4; u = x + 19; v = 12; o = c + 13; y = r + 5; r = l + 13. Given that v = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 5 to n, which gives n = r + 10.\n2. Substitute r = l + 13 to n, which gives n = l + 23.\n3. Substitute l = u + 19 to n, which gives n = u + 42.\n4. Substitute u = x + 19 to n, which gives n = x + 61.\n5. Substitute x = v + 5 to n, which gives n = v + 66.\n6. Substitute v = 12 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 13470,
"question": "Suppose a collection of variables is related by the following definitions: n = y + 5; x = v + 5; l = u + 19; a = o + 1; e = a + 5; q = v + 15; c = p + 15; p = q + 4; u = x + 19; v = 12; o = c + 13; y = r + 5; r = l + 13. Given that v = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 20", "i": "u + 9", "e": "i + 8", "z": "e + 6", "a": "z + 20", "l": "a + 12", "y": "s + 16", "d": "y + 4", "h": "d + 3", "q": "h + 19", "g": "q + 15", "j": "g + 15", "s": 16}, "premises": {"s": 16}, "target": "l"}, "answer": {"steps": [["a", "z + 20", "z + 32"], ["z", "e + 6", "e + 38"], ["e", "i + 8", "i + 46"], ["i", "u + 9", "u + 55"], ["u", "s + 20", "s + 75"], ["s", 16, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"s": 16}, "is_reverse": true}} | 13,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 4; j = g + 15; h = d + 3; a = z + 20; e = i + 8; y = s + 16; i = u + 9; l = a + 12; z = e + 6; s = 16; g = q + 15; q = h + 19; u = s + 20. Given that s = 16, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 20 to l, which gives l = z + 32.\n2. Substitute z = e + 6 to l, which gives l = e + 38.\n3. Substitute e = i + 8 to l, which gives l = i + 46.\n4. Substitute i = u + 9 to l, which gives l = u + 55.\n5. Substitute u = s + 20 to l, which gives l = s + 75.\n6. Substitute s = 16 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 13471,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 4; j = g + 15; h = d + 3; a = z + 20; e = i + 8; y = s + 16; i = u + 9; l = a + 12; z = e + 6; s = 16; g = q + 15; q = h + 19; u = s + 20. Given that s = 16, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 8", "d": "q + 14", "g": "d + 6", "s": "g + 17", "m": "s + 19", "b": "m + 4", "h": "z + 18", "x": "h + 2", "c": "x + 6", "v": "c + 19", "r": "v + 7", "i": "r + 17", "z": 7}, "premises": {"z": 7}, "target": "b"}, "answer": {"steps": [["m", "s + 19", "s + 23"], ["s", "g + 17", "g + 40"], ["g", "d + 6", "d + 46"], ["d", "q + 14", "q + 60"], ["q", "z + 8", "z + 68"], ["z", 7, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"z": 7}, "is_reverse": true}} | 13,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 17; q = z + 8; s = g + 17; z = 7; x = h + 2; g = d + 6; d = q + 14; v = c + 19; m = s + 19; r = v + 7; h = z + 18; b = m + 4; c = x + 6. If z = 7, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 19 to b, which gives b = s + 23.\n2. Substitute s = g + 17 to b, which gives b = g + 40.\n3. Substitute g = d + 6 to b, which gives b = d + 46.\n4. Substitute d = q + 14 to b, which gives b = q + 60.\n5. Substitute q = z + 8 to b, which gives b = z + 68.\n6. Substitute z = 7 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 13472,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 17; q = z + 8; s = g + 17; z = 7; x = h + 2; g = d + 6; d = q + 14; v = c + 19; m = s + 19; r = v + 7; h = z + 18; b = m + 4; c = x + 6. If z = 7, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 5", "x": "n + 8", "z": "x + 2", "i": "z + 19", "r": "i + 17", "f": "r + 20", "l": "e + 19", "o": "l + 7", "q": "o + 7", "p": "q + 7", "s": "p + 13", "y": "s + 17", "e": 11}, "premises": {"e": 11}, "target": "f"}, "answer": {"steps": [["r", "i + 17", "i + 37"], ["i", "z + 19", "z + 56"], ["z", "x + 2", "x + 58"], ["x", "n + 8", "n + 66"], ["n", "e + 5", "e + 71"], ["e", 11, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"e": 11}, "is_reverse": true}} | 13,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = e + 5; q = o + 7; y = s + 17; o = l + 7; z = x + 2; e = 11; s = p + 13; f = r + 20; l = e + 19; r = i + 17; x = n + 8; p = q + 7; i = z + 19. If e = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 17 to f, which gives f = i + 37.\n2. Substitute i = z + 19 to f, which gives f = z + 56.\n3. Substitute z = x + 2 to f, which gives f = x + 58.\n4. Substitute x = n + 8 to f, which gives f = n + 66.\n5. Substitute n = e + 5 to f, which gives f = e + 71.\n6. Substitute e = 11 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 13473,
"question": "Consider a system of variables where each variable is defined as follows: n = e + 5; q = o + 7; y = s + 17; o = l + 7; z = x + 2; e = 11; s = p + 13; f = r + 20; l = e + 19; r = i + 17; x = n + 8; p = q + 7; i = z + 19. If e = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 2", "a": "e + 4", "f": "a + 16", "x": "f + 8", "b": "x + 6", "g": "b + 6", "r": "s + 13", "d": "r + 2", "l": "d + 19", "t": "l + 2", "j": "t + 10", "m": "j + 19", "s": 3}, "premises": {"s": 3}, "target": "g"}, "answer": {"steps": [["b", "x + 6", "x + 12"], ["x", "f + 8", "f + 20"], ["f", "a + 16", "a + 36"], ["a", "e + 4", "e + 40"], ["e", "s + 2", "s + 42"], ["s", 3, "45"]], "target_var_name": "g", "target_value": 45, "value_dict": {"s": 3}, "is_reverse": true}} | 13,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = l + 2; m = j + 19; x = f + 8; j = t + 10; e = s + 2; l = d + 19; d = r + 2; b = x + 6; g = b + 6; a = e + 4; s = 3; f = a + 16; r = s + 13. Given that s = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 6 to g, which gives g = x + 12.\n2. Substitute x = f + 8 to g, which gives g = f + 20.\n3. Substitute f = a + 16 to g, which gives g = a + 36.\n4. Substitute a = e + 4 to g, which gives g = e + 40.\n5. Substitute e = s + 2 to g, which gives g = s + 42.\n6. Substitute s = 3 to g, which gives g = 45.\n\nThus, the final answer is g = \\boxed{45}.",
"index": 13474,
"question": "Suppose a collection of variables is related by the following definitions: t = l + 2; m = j + 19; x = f + 8; j = t + 10; e = s + 2; l = d + 19; d = r + 2; b = x + 6; g = b + 6; a = e + 4; s = 3; f = a + 16; r = s + 13. Given that s = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 7", "u": "g + 11", "m": "u + 19", "k": "m + 18", "a": "k + 5", "p": "a + 1", "d": "f + 7", "z": "d + 9", "w": "z + 17", "c": "w + 4", "s": "c + 1", "o": "s + 12", "f": 18}, "premises": {"f": 18}, "target": "p"}, "answer": {"steps": [["a", "k + 5", "k + 6"], ["k", "m + 18", "m + 24"], ["m", "u + 19", "u + 43"], ["u", "g + 11", "g + 54"], ["g", "f + 7", "f + 61"], ["f", 18, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"f": 18}, "is_reverse": true}} | 13,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 18; u = g + 11; s = c + 1; p = a + 1; k = m + 18; z = d + 9; d = f + 7; a = k + 5; o = s + 12; g = f + 7; c = w + 4; m = u + 19; w = z + 17. If f = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 5 to p, which gives p = k + 6.\n2. Substitute k = m + 18 to p, which gives p = m + 24.\n3. Substitute m = u + 19 to p, which gives p = u + 43.\n4. Substitute u = g + 11 to p, which gives p = g + 54.\n5. Substitute g = f + 7 to p, which gives p = f + 61.\n6. Substitute f = 18 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 13475,
"question": "Consider a system of variables where each variable is defined as follows: f = 18; u = g + 11; s = c + 1; p = a + 1; k = m + 18; z = d + 9; d = f + 7; a = k + 5; o = s + 12; g = f + 7; c = w + 4; m = u + 19; w = z + 17. If f = 18, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 12", "b": "u + 4", "n": "b + 15", "v": "n + 16", "h": "v + 14", "t": "h + 19", "f": "j + 14", "q": "f + 3", "g": "q + 8", "a": "g + 18", "y": "a + 15", "c": "y + 6", "j": 11}, "premises": {"j": 11}, "target": "t"}, "answer": {"steps": [["h", "v + 14", "v + 33"], ["v", "n + 16", "n + 49"], ["n", "b + 15", "b + 64"], ["b", "u + 4", "u + 68"], ["u", "j + 12", "j + 80"], ["j", 11, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"j": 11}, "is_reverse": true}} | 13,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 18; t = h + 19; u = j + 12; v = n + 16; b = u + 4; h = v + 14; q = f + 3; c = y + 6; j = 11; n = b + 15; y = a + 15; f = j + 14; g = q + 8. If j = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 14 to t, which gives t = v + 33.\n2. Substitute v = n + 16 to t, which gives t = n + 49.\n3. Substitute n = b + 15 to t, which gives t = b + 64.\n4. Substitute b = u + 4 to t, which gives t = u + 68.\n5. Substitute u = j + 12 to t, which gives t = j + 80.\n6. Substitute j = 11 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 13476,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 18; t = h + 19; u = j + 12; v = n + 16; b = u + 4; h = v + 14; q = f + 3; c = y + 6; j = 11; n = b + 15; y = a + 15; f = j + 14; g = q + 8. If j = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 17", "v": "c + 2", "j": "v + 4", "g": "j + 5", "q": "g + 3", "h": "q + 8", "d": "e + 7", "k": "d + 4", "u": "k + 5", "p": "u + 6", "z": "p + 18", "w": "z + 5", "e": 16}, "premises": {"e": 16}, "target": "h"}, "answer": {"steps": [["q", "g + 3", "g + 11"], ["g", "j + 5", "j + 16"], ["j", "v + 4", "v + 20"], ["v", "c + 2", "c + 22"], ["c", "e + 17", "e + 39"], ["e", 16, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"e": 16}, "is_reverse": true}} | 13,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = p + 18; v = c + 2; q = g + 3; p = u + 6; u = k + 5; g = j + 5; e = 16; h = q + 8; w = z + 5; j = v + 4; d = e + 7; c = e + 17; k = d + 4. If e = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 3 to h, which gives h = g + 11.\n2. Substitute g = j + 5 to h, which gives h = j + 16.\n3. Substitute j = v + 4 to h, which gives h = v + 20.\n4. Substitute v = c + 2 to h, which gives h = c + 22.\n5. Substitute c = e + 17 to h, which gives h = e + 39.\n6. Substitute e = 16 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 13477,
"question": "Consider a system of variables where each variable is defined as follows: z = p + 18; v = c + 2; q = g + 3; p = u + 6; u = k + 5; g = j + 5; e = 16; h = q + 8; w = z + 5; j = v + 4; d = e + 7; c = e + 17; k = d + 4. If e = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 13", "y": "e + 7", "j": "y + 8", "z": "j + 12", "f": "z + 4", "v": "f + 6", "t": "a + 1", "o": "t + 19", "d": "o + 20", "l": "d + 6", "b": "l + 20", "n": "b + 19", "a": 19}, "premises": {"a": 19}, "target": "v"}, "answer": {"steps": [["f", "z + 4", "z + 10"], ["z", "j + 12", "j + 22"], ["j", "y + 8", "y + 30"], ["y", "e + 7", "e + 37"], ["e", "a + 13", "a + 50"], ["a", 19, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"a": 19}, "is_reverse": true}} | 13,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 19; n = b + 19; t = a + 1; z = j + 12; e = a + 13; l = d + 6; d = o + 20; f = z + 4; j = y + 8; y = e + 7; a = 19; b = l + 20; v = f + 6. Given that a = 19, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 4 to v, which gives v = z + 10.\n2. Substitute z = j + 12 to v, which gives v = j + 22.\n3. Substitute j = y + 8 to v, which gives v = y + 30.\n4. Substitute y = e + 7 to v, which gives v = e + 37.\n5. Substitute e = a + 13 to v, which gives v = a + 50.\n6. Substitute a = 19 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 13478,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 19; n = b + 19; t = a + 1; z = j + 12; e = a + 13; l = d + 6; d = o + 20; f = z + 4; j = y + 8; y = e + 7; a = 19; b = l + 20; v = f + 6. Given that a = 19, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 20", "n": "v + 15", "j": "n + 12", "u": "j + 14", "b": "u + 1", "e": "b + 12", "z": "i + 16", "q": "z + 12", "g": "q + 12", "l": "g + 11", "k": "l + 13", "y": "k + 15", "i": 11}, "premises": {"i": 11}, "target": "e"}, "answer": {"steps": [["b", "u + 1", "u + 13"], ["u", "j + 14", "j + 27"], ["j", "n + 12", "n + 39"], ["n", "v + 15", "v + 54"], ["v", "i + 20", "i + 74"], ["i", 11, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"i": 11}, "is_reverse": true}} | 13,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = g + 11; j = n + 12; e = b + 12; i = 11; k = l + 13; n = v + 15; v = i + 20; u = j + 14; y = k + 15; z = i + 16; q = z + 12; b = u + 1; g = q + 12. If i = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 1 to e, which gives e = u + 13.\n2. Substitute u = j + 14 to e, which gives e = j + 27.\n3. Substitute j = n + 12 to e, which gives e = n + 39.\n4. Substitute n = v + 15 to e, which gives e = v + 54.\n5. Substitute v = i + 20 to e, which gives e = i + 74.\n6. Substitute i = 11 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 13479,
"question": "Consider a system of variables where each variable is defined as follows: l = g + 11; j = n + 12; e = b + 12; i = 11; k = l + 13; n = v + 15; v = i + 20; u = j + 14; y = k + 15; z = i + 16; q = z + 12; b = u + 1; g = q + 12. If i = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 9", "v": "m + 4", "u": "v + 19", "h": "u + 13", "i": "h + 16", "y": "i + 5", "s": "a + 18", "d": "s + 18", "c": "d + 2", "g": "c + 2", "p": "g + 10", "e": "p + 7", "a": 10}, "premises": {"a": 10}, "target": "y"}, "answer": {"steps": [["i", "h + 16", "h + 21"], ["h", "u + 13", "u + 34"], ["u", "v + 19", "v + 53"], ["v", "m + 4", "m + 57"], ["m", "a + 9", "a + 66"], ["a", 10, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"a": 10}, "is_reverse": true}} | 13,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 13; u = v + 19; m = a + 9; a = 10; g = c + 2; p = g + 10; e = p + 7; c = d + 2; y = i + 5; s = a + 18; d = s + 18; v = m + 4; i = h + 16. If a = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 16 to y, which gives y = h + 21.\n2. Substitute h = u + 13 to y, which gives y = u + 34.\n3. Substitute u = v + 19 to y, which gives y = v + 53.\n4. Substitute v = m + 4 to y, which gives y = m + 57.\n5. Substitute m = a + 9 to y, which gives y = a + 66.\n6. Substitute a = 10 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 13480,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 13; u = v + 19; m = a + 9; a = 10; g = c + 2; p = g + 10; e = p + 7; c = d + 2; y = i + 5; s = a + 18; d = s + 18; v = m + 4; i = h + 16. If a = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 12", "g": "z + 12", "f": "g + 17", "c": "f + 10", "a": "c + 5", "p": "a + 11", "q": "m + 2", "x": "q + 10", "r": "x + 4", "h": "r + 13", "k": "h + 19", "o": "k + 8", "m": 12}, "premises": {"m": 12}, "target": "p"}, "answer": {"steps": [["a", "c + 5", "c + 16"], ["c", "f + 10", "f + 26"], ["f", "g + 17", "g + 43"], ["g", "z + 12", "z + 55"], ["z", "m + 12", "m + 67"], ["m", 12, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"m": 12}, "is_reverse": true}} | 13,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = q + 10; p = a + 11; a = c + 5; k = h + 19; z = m + 12; q = m + 2; g = z + 12; o = k + 8; m = 12; c = f + 10; f = g + 17; r = x + 4; h = r + 13. Given that m = 12, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 5 to p, which gives p = c + 16.\n2. Substitute c = f + 10 to p, which gives p = f + 26.\n3. Substitute f = g + 17 to p, which gives p = g + 43.\n4. Substitute g = z + 12 to p, which gives p = z + 55.\n5. Substitute z = m + 12 to p, which gives p = m + 67.\n6. Substitute m = 12 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 13481,
"question": "Suppose a collection of variables is related by the following definitions: x = q + 10; p = a + 11; a = c + 5; k = h + 19; z = m + 12; q = m + 2; g = z + 12; o = k + 8; m = 12; c = f + 10; f = g + 17; r = x + 4; h = r + 13. Given that m = 12, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 19", "q": "u + 12", "x": "q + 7", "l": "x + 17", "a": "l + 6", "d": "a + 2", "z": "p + 10", "g": "z + 9", "n": "g + 3", "j": "n + 5", "y": "j + 7", "t": "y + 1", "p": 12}, "premises": {"p": 12}, "target": "d"}, "answer": {"steps": [["a", "l + 6", "l + 8"], ["l", "x + 17", "x + 25"], ["x", "q + 7", "q + 32"], ["q", "u + 12", "u + 44"], ["u", "p + 19", "p + 63"], ["p", 12, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"p": 12}, "is_reverse": true}} | 13,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 17; t = y + 1; y = j + 7; j = n + 5; n = g + 3; z = p + 10; u = p + 19; a = l + 6; g = z + 9; x = q + 7; d = a + 2; q = u + 12; p = 12. If p = 12, what is the resulting 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 a = l + 6 to d, which gives d = l + 8.\n2. Substitute l = x + 17 to d, which gives d = x + 25.\n3. Substitute x = q + 7 to d, which gives d = q + 32.\n4. Substitute q = u + 12 to d, which gives d = u + 44.\n5. Substitute u = p + 19 to d, which gives d = p + 63.\n6. Substitute p = 12 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 13482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 17; t = y + 1; y = j + 7; j = n + 5; n = g + 3; z = p + 10; u = p + 19; a = l + 6; g = z + 9; x = q + 7; d = a + 2; q = u + 12; p = 12. If p = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 6", "s": "d + 7", "p": "s + 14", "e": "p + 12", "v": "e + 3", "q": "v + 10", "a": "w + 15", "y": "a + 6", "r": "y + 5", "j": "r + 1", "l": "j + 20", "h": "l + 1", "w": 20}, "premises": {"w": 20}, "target": "q"}, "answer": {"steps": [["v", "e + 3", "e + 13"], ["e", "p + 12", "p + 25"], ["p", "s + 14", "s + 39"], ["s", "d + 7", "d + 46"], ["d", "w + 6", "w + 52"], ["w", 20, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"w": 20}, "is_reverse": true}} | 13,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 12; a = w + 15; h = l + 1; y = a + 6; w = 20; j = r + 1; s = d + 7; r = y + 5; l = j + 20; p = s + 14; v = e + 3; d = w + 6; q = v + 10. If w = 20, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 3 to q, which gives q = e + 13.\n2. Substitute e = p + 12 to q, which gives q = p + 25.\n3. Substitute p = s + 14 to q, which gives q = s + 39.\n4. Substitute s = d + 7 to q, which gives q = d + 46.\n5. Substitute d = w + 6 to q, which gives q = w + 52.\n6. Substitute w = 20 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 13483,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 12; a = w + 15; h = l + 1; y = a + 6; w = 20; j = r + 1; s = d + 7; r = y + 5; l = j + 20; p = s + 14; v = e + 3; d = w + 6; q = v + 10. If w = 20, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 18", "f": "c + 8", "w": "f + 8", "z": "w + 11", "n": "z + 5", "j": "n + 6", "s": "y + 7", "t": "s + 11", "e": "t + 3", "u": "e + 11", "m": "u + 14", "d": "m + 14", "y": 15}, "premises": {"y": 15}, "target": "j"}, "answer": {"steps": [["n", "z + 5", "z + 11"], ["z", "w + 11", "w + 22"], ["w", "f + 8", "f + 30"], ["f", "c + 8", "c + 38"], ["c", "y + 18", "y + 56"], ["y", 15, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"y": 15}, "is_reverse": true}} | 13,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 11; d = m + 14; m = u + 14; c = y + 18; u = e + 11; w = f + 8; f = c + 8; n = z + 5; s = y + 7; t = s + 11; e = t + 3; y = 15; j = n + 6. If y = 15, what is the resulting value of j?",
"role": "user... | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 5 to j, which gives j = z + 11.\n2. Substitute z = w + 11 to j, which gives j = w + 22.\n3. Substitute w = f + 8 to j, which gives j = f + 30.\n4. Substitute f = c + 8 to j, which gives j = c + 38.\n5. Substitute c = y + 18 to j, which gives j = y + 56.\n6. Substitute y = 15 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 13484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 11; d = m + 14; m = u + 14; c = y + 18; u = e + 11; w = f + 8; f = c + 8; n = z + 5; s = y + 7; t = s + 11; e = t + 3; y = 15; j = n + 6. If y = 15, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 20", "x": "e + 9", "s": "x + 6", "m": "s + 1", "a": "m + 11", "t": "a + 16", "o": "b + 14", "r": "o + 5", "l": "r + 3", "j": "l + 8", "z": "j + 9", "p": "z + 14", "b": 8}, "premises": {"b": 8}, "target": "t"}, "answer": {"steps": [["a", "m + 11", "m + 27"], ["m", "s + 1", "s + 28"], ["s", "x + 6", "x + 34"], ["x", "e + 9", "e + 43"], ["e", "b + 20", "b + 63"], ["b", 8, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"b": 8}, "is_reverse": true}} | 13,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = e + 9; b = 8; m = s + 1; s = x + 6; p = z + 14; z = j + 9; t = a + 16; l = r + 3; r = o + 5; e = b + 20; a = m + 11; j = l + 8; o = b + 14. If b = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 11 to t, which gives t = m + 27.\n2. Substitute m = s + 1 to t, which gives t = s + 28.\n3. Substitute s = x + 6 to t, which gives t = x + 34.\n4. Substitute x = e + 9 to t, which gives t = e + 43.\n5. Substitute e = b + 20 to t, which gives t = b + 63.\n6. Substitute b = 8 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 13485,
"question": "Consider a system of variables where each variable is defined as follows: x = e + 9; b = 8; m = s + 1; s = x + 6; p = z + 14; z = j + 9; t = a + 16; l = r + 3; r = o + 5; e = b + 20; a = m + 11; j = l + 8; o = b + 14. If b = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 18", "f": "q + 19", "t": "f + 16", "i": "t + 20", "c": "i + 1", "e": "c + 5", "d": "l + 4", "b": "d + 16", "v": "b + 4", "s": "v + 1", "z": "s + 1", "u": "z + 20", "l": 2}, "premises": {"l": 2}, "target": "e"}, "answer": {"steps": [["c", "i + 1", "i + 6"], ["i", "t + 20", "t + 26"], ["t", "f + 16", "f + 42"], ["f", "q + 19", "q + 61"], ["q", "l + 18", "l + 79"], ["l", 2, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"l": 2}, "is_reverse": true}} | 13,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 16; c = i + 1; i = t + 20; d = l + 4; v = b + 4; t = f + 16; q = l + 18; u = z + 20; f = q + 19; z = s + 1; l = 2; e = c + 5; s = v + 1. If l = 2, what is the resulting value of e?",
"role": "user"
... | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 1 to e, which gives e = i + 6.\n2. Substitute i = t + 20 to e, which gives e = t + 26.\n3. Substitute t = f + 16 to e, which gives e = f + 42.\n4. Substitute f = q + 19 to e, which gives e = q + 61.\n5. Substitute q = l + 18 to e, which gives e = l + 79.\n6. Substitute l = 2 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 13486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = d + 16; c = i + 1; i = t + 20; d = l + 4; v = b + 4; t = f + 16; q = l + 18; u = z + 20; f = q + 19; z = s + 1; l = 2; e = c + 5; s = v + 1. If l = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 8", "g": "v + 16", "b": "g + 8", "u": "b + 2", "r": "u + 3", "o": "r + 16", "m": "c + 2", "k": "m + 10", "l": "k + 13", "n": "l + 9", "i": "n + 2", "a": "i + 13", "c": 13}, "premises": {"c": 13}, "target": "o"}, "answer": {"steps": [["r", "u + 3", "u + 19"], ["u", "b + 2", "b + 21"], ["b", "g + 8", "g + 29"], ["g", "v + 16", "v + 45"], ["v", "c + 8", "c + 53"], ["c", 13, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"c": 13}, "is_reverse": true}} | 13,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 8; n = l + 9; m = c + 2; r = u + 3; a = i + 13; l = k + 13; k = m + 10; g = v + 16; o = r + 16; v = c + 8; i = n + 2; c = 13; u = b + 2. If c = 13, what is the resulting value of o?",
"role": "user"... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 3 to o, which gives o = u + 19.\n2. Substitute u = b + 2 to o, which gives o = b + 21.\n3. Substitute b = g + 8 to o, which gives o = g + 29.\n4. Substitute g = v + 16 to o, which gives o = v + 45.\n5. Substitute v = c + 8 to o, which gives o = c + 53.\n6. Substitute c = 13 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 13487,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 8; n = l + 9; m = c + 2; r = u + 3; a = i + 13; l = k + 13; k = m + 10; g = v + 16; o = r + 16; v = c + 8; i = n + 2; c = 13; u = b + 2. If c = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 18", "l": "n + 3", "u": "l + 15", "b": "u + 4", "w": "b + 8", "t": "w + 18", "g": "p + 1", "m": "g + 5", "r": "m + 15", "a": "r + 3", "x": "a + 12", "v": "x + 14", "p": 1}, "premises": {"p": 1}, "target": "t"}, "answer": {"steps": [["w", "b + 8", "b + 26"], ["b", "u + 4", "u + 30"], ["u", "l + 15", "l + 45"], ["l", "n + 3", "n + 48"], ["n", "p + 18", "p + 66"], ["p", 1, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"p": 1}, "is_reverse": true}} | 13,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 15; v = x + 14; x = a + 12; m = g + 5; p = 1; w = b + 8; n = p + 18; t = w + 18; g = p + 1; u = l + 15; a = r + 3; b = u + 4; l = n + 3. If p = 1, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 8 to t, which gives t = b + 26.\n2. Substitute b = u + 4 to t, which gives t = u + 30.\n3. Substitute u = l + 15 to t, which gives t = l + 45.\n4. Substitute l = n + 3 to t, which gives t = n + 48.\n5. Substitute n = p + 18 to t, which gives t = p + 66.\n6. Substitute p = 1 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 13488,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 15; v = x + 14; x = a + 12; m = g + 5; p = 1; w = b + 8; n = p + 18; t = w + 18; g = p + 1; u = l + 15; a = r + 3; b = u + 4; l = n + 3. If p = 1, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 12", "f": "g + 15", "b": "f + 20", "x": "b + 8", "n": "x + 10", "o": "n + 9", "d": "z + 20", "k": "d + 2", "v": "k + 13", "y": "v + 5", "l": "y + 1", "p": "l + 4", "z": 18}, "premises": {"z": 18}, "target": "o"}, "answer": {"steps": [["n", "x + 10", "x + 19"], ["x", "b + 8", "b + 27"], ["b", "f + 20", "f + 47"], ["f", "g + 15", "g + 62"], ["g", "z + 12", "z + 74"], ["z", 18, "92"]], "target_var_name": "o", "target_value": 92, "value_dict": {"z": 18}, "is_reverse": true}} | 13,489 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 8; o = n + 9; d = z + 20; p = l + 4; z = 18; n = x + 10; l = y + 1; v = k + 13; b = f + 20; f = g + 15; g = z + 12; y = v + 5; k = d + 2. If z = 18, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 10 to o, which gives o = x + 19.\n2. Substitute x = b + 8 to o, which gives o = b + 27.\n3. Substitute b = f + 20 to o, which gives o = f + 47.\n4. Substitute f = g + 15 to o, which gives o = g + 62.\n5. Substitute g = z + 12 to o, which gives o = z + 74.\n6. Substitute z = 18 to o, which gives o = 92.\n\nThus, the final answer is o = \\boxed{92}.",
"index": 13489,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 8; o = n + 9; d = z + 20; p = l + 4; z = 18; n = x + 10; l = y + 1; v = k + 13; b = f + 20; f = g + 15; g = z + 12; y = v + 5; k = d + 2. If z = 18, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 6", "b": "g + 15", "l": "b + 16", "y": "l + 19", "u": "y + 17", "t": "u + 4", "f": "d + 17", "m": "f + 15", "c": "m + 10", "v": "c + 12", "h": "v + 19", "p": "h + 10", "d": 2}, "premises": {"d": 2}, "target": "t"}, "answer": {"steps": [["u", "y + 17", "y + 21"], ["y", "l + 19", "l + 40"], ["l", "b + 16", "b + 56"], ["b", "g + 15", "g + 71"], ["g", "d + 6", "d + 77"], ["d", 2, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"d": 2}, "is_reverse": true}} | 13,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 19; g = d + 6; m = f + 15; f = d + 17; v = c + 12; p = h + 10; l = b + 16; d = 2; t = u + 4; y = l + 19; u = y + 17; b = g + 15; c = m + 10. If d = 2, what is the resulting value of t?",
"role": "us... | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 17 to t, which gives t = y + 21.\n2. Substitute y = l + 19 to t, which gives t = l + 40.\n3. Substitute l = b + 16 to t, which gives t = b + 56.\n4. Substitute b = g + 15 to t, which gives t = g + 71.\n5. Substitute g = d + 6 to t, which gives t = d + 77.\n6. Substitute d = 2 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 13490,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 19; g = d + 6; m = f + 15; f = d + 17; v = c + 12; p = h + 10; l = b + 16; d = 2; t = u + 4; y = l + 19; u = y + 17; b = g + 15; c = m + 10. If d = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 11", "n": "h + 7", "l": "n + 1", "q": "l + 1", "j": "q + 9", "r": "j + 13", "k": "w + 1", "d": "k + 14", "z": "d + 18", "a": "z + 9", "f": "a + 3", "m": "f + 1", "w": 9}, "premises": {"w": 9}, "target": "r"}, "answer": {"steps": [["j", "q + 9", "q + 22"], ["q", "l + 1", "l + 23"], ["l", "n + 1", "n + 24"], ["n", "h + 7", "h + 31"], ["h", "w + 11", "w + 42"], ["w", 9, "51"]], "target_var_name": "r", "target_value": 51, "value_dict": {"w": 9}, "is_reverse": true}} | 13,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 9; z = d + 18; m = f + 1; j = q + 9; h = w + 11; l = n + 1; q = l + 1; d = k + 14; k = w + 1; n = h + 7; r = j + 13; f = a + 3; w = 9. If w = 9, what is the resulting value of r?",
"role": "user"
... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 9 to r, which gives r = q + 22.\n2. Substitute q = l + 1 to r, which gives r = l + 23.\n3. Substitute l = n + 1 to r, which gives r = n + 24.\n4. Substitute n = h + 7 to r, which gives r = h + 31.\n5. Substitute h = w + 11 to r, which gives r = w + 42.\n6. Substitute w = 9 to r, which gives r = 51.\n\nThus, the final answer is r = \\boxed{51}.",
"index": 13491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = z + 9; z = d + 18; m = f + 1; j = q + 9; h = w + 11; l = n + 1; q = l + 1; d = k + 14; k = w + 1; n = h + 7; r = j + 13; f = a + 3; w = 9. If w = 9, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 17", "q": "x + 3", "a": "q + 12", "i": "a + 13", "l": "i + 3", "v": "l + 14", "z": "o + 16", "p": "z + 20", "w": "p + 8", "j": "w + 7", "c": "j + 4", "b": "c + 19", "o": 16}, "premises": {"o": 16}, "target": "v"}, "answer": {"steps": [["l", "i + 3", "i + 17"], ["i", "a + 13", "a + 30"], ["a", "q + 12", "q + 42"], ["q", "x + 3", "x + 45"], ["x", "o + 17", "o + 62"], ["o", 16, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"o": 16}, "is_reverse": true}} | 13,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = l + 14; l = i + 3; w = p + 8; b = c + 19; c = j + 4; z = o + 16; o = 16; a = q + 12; p = z + 20; q = x + 3; i = a + 13; x = o + 17; j = w + 7. If o = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 3 to v, which gives v = i + 17.\n2. Substitute i = a + 13 to v, which gives v = a + 30.\n3. Substitute a = q + 12 to v, which gives v = q + 42.\n4. Substitute q = x + 3 to v, which gives v = x + 45.\n5. Substitute x = o + 17 to v, which gives v = o + 62.\n6. Substitute o = 16 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 13492,
"question": "Consider a system of variables where each variable is defined as follows: v = l + 14; l = i + 3; w = p + 8; b = c + 19; c = j + 4; z = o + 16; o = 16; a = q + 12; p = z + 20; q = x + 3; i = a + 13; x = o + 17; j = w + 7. If o = 16, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 9", "j": "k + 7", "l": "j + 11", "i": "l + 4", "n": "i + 8", "o": "n + 20", "y": "f + 18", "u": "y + 20", "b": "u + 13", "g": "b + 11", "x": "g + 17", "w": "x + 14", "f": 1}, "premises": {"f": 1}, "target": "o"}, "answer": {"steps": [["n", "i + 8", "i + 28"], ["i", "l + 4", "l + 32"], ["l", "j + 11", "j + 43"], ["j", "k + 7", "k + 50"], ["k", "f + 9", "f + 59"], ["f", 1, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"f": 1}, "is_reverse": true}} | 13,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 17; o = n + 20; w = x + 14; j = k + 7; n = i + 8; y = f + 18; u = y + 20; g = b + 11; i = l + 4; b = u + 13; l = j + 11; f = 1; k = f + 9. If f = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 8 to o, which gives o = i + 28.\n2. Substitute i = l + 4 to o, which gives o = l + 32.\n3. Substitute l = j + 11 to o, which gives o = j + 43.\n4. Substitute j = k + 7 to o, which gives o = k + 50.\n5. Substitute k = f + 9 to o, which gives o = f + 59.\n6. Substitute f = 1 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 13493,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 17; o = n + 20; w = x + 14; j = k + 7; n = i + 8; y = f + 18; u = y + 20; g = b + 11; i = l + 4; b = u + 13; l = j + 11; f = 1; k = f + 9. If f = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 4", "g": "m + 13", "p": "g + 15", "s": "p + 18", "b": "s + 15", "i": "b + 2", "c": "e + 17", "n": "c + 15", "h": "n + 11", "j": "h + 3", "x": "j + 15", "t": "x + 4", "e": 1}, "premises": {"e": 1}, "target": "i"}, "answer": {"steps": [["b", "s + 15", "s + 17"], ["s", "p + 18", "p + 35"], ["p", "g + 15", "g + 50"], ["g", "m + 13", "m + 63"], ["m", "e + 4", "e + 67"], ["e", 1, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"e": 1}, "is_reverse": true}} | 13,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 11; s = p + 18; p = g + 15; t = x + 4; m = e + 4; j = h + 3; i = b + 2; g = m + 13; n = c + 15; c = e + 17; e = 1; b = s + 15; x = j + 15. If e = 1, what is the resulting value of i?",
"role": "user... | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 15 to i, which gives i = s + 17.\n2. Substitute s = p + 18 to i, which gives i = p + 35.\n3. Substitute p = g + 15 to i, which gives i = g + 50.\n4. Substitute g = m + 13 to i, which gives i = m + 63.\n5. Substitute m = e + 4 to i, which gives i = e + 67.\n6. Substitute e = 1 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 13494,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 11; s = p + 18; p = g + 15; t = x + 4; m = e + 4; j = h + 3; i = b + 2; g = m + 13; n = c + 15; c = e + 17; e = 1; b = s + 15; x = j + 15. If e = 1, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 11", "j": "g + 10", "f": "j + 11", "t": "f + 19", "l": "t + 14", "u": "l + 9", "s": "c + 17", "p": "s + 12", "i": "p + 8", "y": "i + 5", "o": "y + 19", "d": "o + 18", "c": 15}, "premises": {"c": 15}, "target": "u"}, "answer": {"steps": [["l", "t + 14", "t + 23"], ["t", "f + 19", "f + 42"], ["f", "j + 11", "j + 53"], ["j", "g + 10", "g + 63"], ["g", "c + 11", "c + 74"], ["c", 15, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"c": 15}, "is_reverse": true}} | 13,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = c + 11; t = f + 19; f = j + 11; c = 15; j = g + 10; u = l + 9; l = t + 14; i = p + 8; p = s + 12; s = c + 17; o = y + 19; d = o + 18; y = i + 5. Given that c = 15, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 14 to u, which gives u = t + 23.\n2. Substitute t = f + 19 to u, which gives u = f + 42.\n3. Substitute f = j + 11 to u, which gives u = j + 53.\n4. Substitute j = g + 10 to u, which gives u = g + 63.\n5. Substitute g = c + 11 to u, which gives u = c + 74.\n6. Substitute c = 15 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 13495,
"question": "Suppose a collection of variables is related by the following definitions: g = c + 11; t = f + 19; f = j + 11; c = 15; j = g + 10; u = l + 9; l = t + 14; i = p + 8; p = s + 12; s = c + 17; o = y + 19; d = o + 18; y = i + 5. Given that c = 15, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 8", "e": "y + 3", "q": "e + 3", "h": "q + 12", "n": "h + 16", "r": "n + 15", "a": "j + 2", "v": "a + 11", "p": "v + 5", "u": "p + 12", "s": "u + 14", "f": "s + 17", "j": 4}, "premises": {"j": 4}, "target": "r"}, "answer": {"steps": [["n", "h + 16", "h + 31"], ["h", "q + 12", "q + 43"], ["q", "e + 3", "e + 46"], ["e", "y + 3", "y + 49"], ["y", "j + 8", "j + 57"], ["j", 4, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"j": 4}, "is_reverse": true}} | 13,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 3; u = p + 12; a = j + 2; r = n + 15; p = v + 5; q = e + 3; n = h + 16; f = s + 17; h = q + 12; v = a + 11; j = 4; s = u + 14; y = j + 8. Given that j = 4, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 16 to r, which gives r = h + 31.\n2. Substitute h = q + 12 to r, which gives r = q + 43.\n3. Substitute q = e + 3 to r, which gives r = e + 46.\n4. Substitute e = y + 3 to r, which gives r = y + 49.\n5. Substitute y = j + 8 to r, which gives r = j + 57.\n6. Substitute j = 4 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 13496,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 3; u = p + 12; a = j + 2; r = n + 15; p = v + 5; q = e + 3; n = h + 16; f = s + 17; h = q + 12; v = a + 11; j = 4; s = u + 14; y = j + 8. Given that j = 4, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 15", "b": "h + 18", "x": "b + 11", "v": "x + 8", "a": "v + 15", "w": "a + 9", "i": "c + 14", "p": "i + 19", "m": "p + 1", "e": "m + 5", "j": "e + 9", "k": "j + 3", "c": 6}, "premises": {"c": 6}, "target": "w"}, "answer": {"steps": [["a", "v + 15", "v + 24"], ["v", "x + 8", "x + 32"], ["x", "b + 11", "b + 43"], ["b", "h + 18", "h + 61"], ["h", "c + 15", "c + 76"], ["c", 6, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"c": 6}, "is_reverse": true}} | 13,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = c + 14; w = a + 9; e = m + 5; j = e + 9; c = 6; b = h + 18; a = v + 15; v = x + 8; x = b + 11; h = c + 15; p = i + 19; k = j + 3; m = p + 1. If c = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 15 to w, which gives w = v + 24.\n2. Substitute v = x + 8 to w, which gives w = x + 32.\n3. Substitute x = b + 11 to w, which gives w = b + 43.\n4. Substitute b = h + 18 to w, which gives w = h + 61.\n5. Substitute h = c + 15 to w, which gives w = c + 76.\n6. Substitute c = 6 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 13497,
"question": "Consider a system of variables where each variable is defined as follows: i = c + 14; w = a + 9; e = m + 5; j = e + 9; c = 6; b = h + 18; a = v + 15; v = x + 8; x = b + 11; h = c + 15; p = i + 19; k = j + 3; m = p + 1. If c = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 10", "y": "j + 11", "r": "y + 4", "o": "r + 16", "z": "o + 17", "u": "z + 4", "k": "q + 1", "e": "k + 1", "s": "e + 18", "g": "s + 16", "b": "g + 2", "i": "b + 3", "q": 13}, "premises": {"q": 13}, "target": "u"}, "answer": {"steps": [["z", "o + 17", "o + 21"], ["o", "r + 16", "r + 37"], ["r", "y + 4", "y + 41"], ["y", "j + 11", "j + 52"], ["j", "q + 10", "q + 62"], ["q", 13, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"q": 13}, "is_reverse": true}} | 13,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 1; u = z + 4; o = r + 16; i = b + 3; s = e + 18; y = j + 11; b = g + 2; z = o + 17; g = s + 16; r = y + 4; q = 13; j = q + 10; e = k + 1. Given that q = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 17 to u, which gives u = o + 21.\n2. Substitute o = r + 16 to u, which gives u = r + 37.\n3. Substitute r = y + 4 to u, which gives u = y + 41.\n4. Substitute y = j + 11 to u, which gives u = j + 52.\n5. Substitute j = q + 10 to u, which gives u = q + 62.\n6. Substitute q = 13 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 13498,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 1; u = z + 4; o = r + 16; i = b + 3; s = e + 18; y = j + 11; b = g + 2; z = o + 17; g = s + 16; r = y + 4; q = 13; j = q + 10; e = k + 1. Given that q = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 5", "b": "a + 1", "f": "b + 11", "q": "f + 2", "e": "q + 1", "x": "e + 3", "v": "u + 20", "k": "v + 4", "d": "k + 5", "o": "d + 5", "r": "o + 8", "m": "r + 2", "u": 10}, "premises": {"u": 10}, "target": "x"}, "answer": {"steps": [["e", "q + 1", "q + 4"], ["q", "f + 2", "f + 6"], ["f", "b + 11", "b + 17"], ["b", "a + 1", "a + 18"], ["a", "u + 5", "u + 23"], ["u", 10, "33"]], "target_var_name": "x", "target_value": 33, "value_dict": {"u": 10}, "is_reverse": true}} | 13,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 2; e = q + 1; f = b + 11; r = o + 8; b = a + 1; a = u + 5; d = k + 5; o = d + 5; k = v + 4; v = u + 20; m = r + 2; u = 10; x = e + 3. Given that u = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 1 to x, which gives x = q + 4.\n2. Substitute q = f + 2 to x, which gives x = f + 6.\n3. Substitute f = b + 11 to x, which gives x = b + 17.\n4. Substitute b = a + 1 to x, which gives x = a + 18.\n5. Substitute a = u + 5 to x, which gives x = u + 23.\n6. Substitute u = 10 to x, which gives x = 33.\n\nThus, the final answer is x = \\boxed{33}.",
"index": 13499,
"question": "Suppose a collection of variables is related by the following definitions: q = f + 2; e = q + 1; f = b + 11; r = o + 8; b = a + 1; a = u + 5; d = k + 5; o = d + 5; k = v + 4; v = u + 20; m = r + 2; u = 10; x = e + 3. Given that u = 10, find the value of x.",
"split": "train"
} |
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