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": {"m": "p + 3", "l": "m + 17", "x": "l + 2", "f": "x + 16", "c": "f + 7", "e": "c + 10", "r": "p + 8", "o": "r + 10", "v": "o + 9", "t": "v + 12", "w": "t + 20", "j": "w + 5", "p": 9}, "premises": {"p": 9}, "target": "e"}, "answer": {"steps": [["c", "f + 7", "f + 17"], ["f", "x + 16", "x + 33"], ["x", "l + 2", "l + 35"], ["l", "m + 17", "m + 52"], ["m", "p + 3", "p + 55"], ["p", 9, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"p": 9}, "is_reverse": true}} | 23,400 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 9; w = t + 20; m = p + 3; c = f + 7; r = p + 8; x = l + 2; e = c + 10; f = x + 16; o = r + 10; v = o + 9; l = m + 17; t = v + 12; j = w + 5. If p = 9, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 7 to e, which gives e = f + 17.\n2. Substitute f = x + 16 to e, which gives e = x + 33.\n3. Substitute x = l + 2 to e, which gives e = l + 35.\n4. Substitute l = m + 17 to e, which gives e = m + 52.\n5. Substitute m = p + 3 to e, which gives e = p + 55.\n6. Substitute p = 9 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 23400,
"question": "Consider a system of variables where each variable is defined as follows: p = 9; w = t + 20; m = p + 3; c = f + 7; r = p + 8; x = l + 2; e = c + 10; f = x + 16; o = r + 10; v = o + 9; l = m + 17; t = v + 12; j = w + 5. If p = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 12", "o": "j + 17", "e": "o + 4", "s": "e + 5", "g": "s + 2", "w": "g + 10", "r": "f + 18", "p": "r + 12", "n": "p + 4", "u": "n + 10", "b": "u + 19", "y": "b + 17", "f": 19}, "premises": {"f": 19}, "target": "w"}, "answer": {"steps": [["g", "s + 2", "s + 12"], ["s", "e + 5", "e + 17"], ["e", "o + 4", "o + 21"], ["o", "j + 17", "j + 38"], ["j", "f + 12", "f + 50"], ["f", 19, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"f": 19}, "is_reverse": true}} | 23,401 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = f + 12; g = s + 2; o = j + 17; y = b + 17; n = p + 4; e = o + 4; w = g + 10; p = r + 12; f = 19; b = u + 19; s = e + 5; r = f + 18; u = n + 10. If f = 19, 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 = s + 2 to w, which gives w = s + 12.\n2. Substitute s = e + 5 to w, which gives w = e + 17.\n3. Substitute e = o + 4 to w, which gives w = o + 21.\n4. Substitute o = j + 17 to w, which gives w = j + 38.\n5. Substitute j = f + 12 to w, which gives w = f + 50.\n6. Substitute f = 19 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 23401,
"question": "Consider a system of variables where each variable is defined as follows: j = f + 12; g = s + 2; o = j + 17; y = b + 17; n = p + 4; e = o + 4; w = g + 10; p = r + 12; f = 19; b = u + 19; s = e + 5; r = f + 18; u = n + 10. If f = 19, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 3", "v": "o + 1", "n": "v + 7", "p": "n + 4", "m": "p + 17", "j": "m + 12", "q": "l + 1", "y": "q + 1", "k": "y + 14", "h": "k + 6", "x": "h + 5", "d": "x + 11", "l": 10}, "premises": {"l": 10}, "target": "j"}, "answer": {"steps": [["m", "p + 17", "p + 29"], ["p", "n + 4", "n + 33"], ["n", "v + 7", "v + 40"], ["v", "o + 1", "o + 41"], ["o", "l + 3", "l + 44"], ["l", 10, "54"]], "target_var_name": "j", "target_value": 54, "value_dict": {"l": 10}, "is_reverse": true}} | 23,402 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = q + 1; l = 10; j = m + 12; d = x + 11; p = n + 4; h = k + 6; x = h + 5; v = o + 1; q = l + 1; k = y + 14; n = v + 7; m = p + 17; o = l + 3. If l = 10, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 17 to j, which gives j = p + 29.\n2. Substitute p = n + 4 to j, which gives j = n + 33.\n3. Substitute n = v + 7 to j, which gives j = v + 40.\n4. Substitute v = o + 1 to j, which gives j = o + 41.\n5. Substitute o = l + 3 to j, which gives j = l + 44.\n6. Substitute l = 10 to j, which gives j = 54.\n\nThus, the final answer is j = \\boxed{54}.",
"index": 23402,
"question": "Consider a system of variables where each variable is defined as follows: y = q + 1; l = 10; j = m + 12; d = x + 11; p = n + 4; h = k + 6; x = h + 5; v = o + 1; q = l + 1; k = y + 14; n = v + 7; m = p + 17; o = l + 3. If l = 10, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 14", "f": "k + 20", "y": "f + 5", "q": "y + 4", "a": "q + 3", "i": "a + 20", "t": "x + 20", "m": "t + 15", "v": "m + 8", "e": "v + 18", "p": "e + 18", "s": "p + 17", "x": 1}, "premises": {"x": 1}, "target": "i"}, "answer": {"steps": [["a", "q + 3", "q + 23"], ["q", "y + 4", "y + 27"], ["y", "f + 5", "f + 32"], ["f", "k + 20", "k + 52"], ["k", "x + 14", "x + 66"], ["x", 1, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"x": 1}, "is_reverse": true}} | 23,403 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 3; x = 1; k = x + 14; e = v + 18; i = a + 20; y = f + 5; t = x + 20; v = m + 8; m = t + 15; s = p + 17; q = y + 4; f = k + 20; p = e + 18. Given that x = 1, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 3 to i, which gives i = q + 23.\n2. Substitute q = y + 4 to i, which gives i = y + 27.\n3. Substitute y = f + 5 to i, which gives i = f + 32.\n4. Substitute f = k + 20 to i, which gives i = k + 52.\n5. Substitute k = x + 14 to i, which gives i = x + 66.\n6. Substitute x = 1 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 23403,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 3; x = 1; k = x + 14; e = v + 18; i = a + 20; y = f + 5; t = x + 20; v = m + 8; m = t + 15; s = p + 17; q = y + 4; f = k + 20; p = e + 18. Given that x = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "h + 6", "n": "x + 17", "t": "n + 18", "i": "t + 13", "m": "i + 10", "j": "m + 5", "r": "h + 3", "d": "r + 1", "u": "d + 9", "q": "u + 9", "f": "q + 20", "o": "f + 10", "h": 7}, "premises": {"h": 7}, "target": "j"}, "answer": {"steps": [["m", "i + 10", "i + 15"], ["i", "t + 13", "t + 28"], ["t", "n + 18", "n + 46"], ["n", "x + 17", "x + 63"], ["x", "h + 6", "h + 69"], ["h", 7, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"h": 7}, "is_reverse": true}} | 23,404 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 13; u = d + 9; d = r + 1; r = h + 3; x = h + 6; j = m + 5; q = u + 9; h = 7; f = q + 20; m = i + 10; n = x + 17; o = f + 10; t = n + 18. If h = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 10 to j, which gives j = i + 15.\n2. Substitute i = t + 13 to j, which gives j = t + 28.\n3. Substitute t = n + 18 to j, which gives j = n + 46.\n4. Substitute n = x + 17 to j, which gives j = x + 63.\n5. Substitute x = h + 6 to j, which gives j = h + 69.\n6. Substitute h = 7 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 23404,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 13; u = d + 9; d = r + 1; r = h + 3; x = h + 6; j = m + 5; q = u + 9; h = 7; f = q + 20; m = i + 10; n = x + 17; o = f + 10; t = n + 18. If h = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 1", "a": "k + 7", "s": "a + 12", "o": "s + 10", "e": "o + 12", "w": "e + 16", "f": "u + 20", "b": "f + 3", "g": "b + 9", "p": "g + 5", "z": "p + 8", "r": "z + 2", "u": 12}, "premises": {"u": 12}, "target": "w"}, "answer": {"steps": [["e", "o + 12", "o + 28"], ["o", "s + 10", "s + 38"], ["s", "a + 12", "a + 50"], ["a", "k + 7", "k + 57"], ["k", "u + 1", "u + 58"], ["u", 12, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"u": 12}, "is_reverse": true}} | 23,405 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 10; a = k + 7; p = g + 5; g = b + 9; b = f + 3; k = u + 1; u = 12; f = u + 20; s = a + 12; r = z + 2; w = e + 16; e = o + 12; z = p + 8. If u = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 12 to w, which gives w = o + 28.\n2. Substitute o = s + 10 to w, which gives w = s + 38.\n3. Substitute s = a + 12 to w, which gives w = a + 50.\n4. Substitute a = k + 7 to w, which gives w = k + 57.\n5. Substitute k = u + 1 to w, which gives w = u + 58.\n6. Substitute u = 12 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 23405,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 10; a = k + 7; p = g + 5; g = b + 9; b = f + 3; k = u + 1; u = 12; f = u + 20; s = a + 12; r = z + 2; w = e + 16; e = o + 12; z = p + 8. If u = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 5", "k": "b + 6", "t": "k + 7", "w": "t + 11", "x": "w + 20", "p": "x + 19", "l": "h + 13", "m": "l + 13", "r": "m + 5", "g": "r + 20", "v": "g + 5", "j": "v + 10", "h": 1}, "premises": {"h": 1}, "target": "p"}, "answer": {"steps": [["x", "w + 20", "w + 39"], ["w", "t + 11", "t + 50"], ["t", "k + 7", "k + 57"], ["k", "b + 6", "b + 63"], ["b", "h + 5", "h + 68"], ["h", 1, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"h": 1}, "is_reverse": true}} | 23,406 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 11; b = h + 5; m = l + 13; k = b + 6; l = h + 13; t = k + 7; j = v + 10; r = m + 5; x = w + 20; g = r + 20; v = g + 5; h = 1; p = x + 19. Given that h = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 20 to p, which gives p = w + 39.\n2. Substitute w = t + 11 to p, which gives p = t + 50.\n3. Substitute t = k + 7 to p, which gives p = k + 57.\n4. Substitute k = b + 6 to p, which gives p = b + 63.\n5. Substitute b = h + 5 to p, which gives p = h + 68.\n6. Substitute h = 1 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 23406,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 11; b = h + 5; m = l + 13; k = b + 6; l = h + 13; t = k + 7; j = v + 10; r = m + 5; x = w + 20; g = r + 20; v = g + 5; h = 1; p = x + 19. Given that h = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 5", "h": "j + 8", "d": "h + 10", "e": "d + 7", "a": "e + 10", "z": "a + 17", "f": "t + 2", "m": "f + 8", "g": "m + 13", "w": "g + 6", "u": "w + 5", "o": "u + 20", "t": 6}, "premises": {"t": 6}, "target": "z"}, "answer": {"steps": [["a", "e + 10", "e + 27"], ["e", "d + 7", "d + 34"], ["d", "h + 10", "h + 44"], ["h", "j + 8", "j + 52"], ["j", "t + 5", "t + 57"], ["t", 6, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"t": 6}, "is_reverse": true}} | 23,407 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 10; z = a + 17; g = m + 13; f = t + 2; w = g + 6; e = d + 7; m = f + 8; h = j + 8; j = t + 5; t = 6; u = w + 5; o = u + 20; d = h + 10. Given that t = 6, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 10 to z, which gives z = e + 27.\n2. Substitute e = d + 7 to z, which gives z = d + 34.\n3. Substitute d = h + 10 to z, which gives z = h + 44.\n4. Substitute h = j + 8 to z, which gives z = j + 52.\n5. Substitute j = t + 5 to z, which gives z = t + 57.\n6. Substitute t = 6 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 23407,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 10; z = a + 17; g = m + 13; f = t + 2; w = g + 6; e = d + 7; m = f + 8; h = j + 8; j = t + 5; t = 6; u = w + 5; o = u + 20; d = h + 10. Given that t = 6, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 15", "k": "n + 8", "v": "k + 9", "f": "v + 17", "t": "f + 14", "j": "t + 8", "u": "o + 17", "y": "u + 1", "g": "y + 13", "l": "g + 17", "s": "l + 1", "e": "s + 9", "o": 9}, "premises": {"o": 9}, "target": "j"}, "answer": {"steps": [["t", "f + 14", "f + 22"], ["f", "v + 17", "v + 39"], ["v", "k + 9", "k + 48"], ["k", "n + 8", "n + 56"], ["n", "o + 15", "o + 71"], ["o", 9, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"o": 9}, "is_reverse": true}} | 23,408 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 14; j = t + 8; y = u + 1; v = k + 9; o = 9; e = s + 9; u = o + 17; f = v + 17; k = n + 8; g = y + 13; l = g + 17; s = l + 1; n = o + 15. If o = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = f + 14 to j, which gives j = f + 22.\n2. Substitute f = v + 17 to j, which gives j = v + 39.\n3. Substitute v = k + 9 to j, which gives j = k + 48.\n4. Substitute k = n + 8 to j, which gives j = n + 56.\n5. Substitute n = o + 15 to j, which gives j = o + 71.\n6. Substitute o = 9 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 23408,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = f + 14; j = t + 8; y = u + 1; v = k + 9; o = 9; e = s + 9; u = o + 17; f = v + 17; k = n + 8; g = y + 13; l = g + 17; s = l + 1; n = o + 15. If o = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 8", "h": "j + 14", "c": "h + 2", "r": "c + 8", "o": "r + 9", "z": "o + 19", "g": "q + 10", "d": "g + 18", "e": "d + 6", "t": "e + 8", "x": "t + 19", "u": "x + 4", "q": 15}, "premises": {"q": 15}, "target": "z"}, "answer": {"steps": [["o", "r + 9", "r + 28"], ["r", "c + 8", "c + 36"], ["c", "h + 2", "h + 38"], ["h", "j + 14", "j + 52"], ["j", "q + 8", "q + 60"], ["q", 15, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"q": 15}, "is_reverse": true}} | 23,409 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 6; g = q + 10; c = h + 2; j = q + 8; x = t + 19; q = 15; h = j + 14; z = o + 19; u = x + 4; r = c + 8; t = e + 8; o = r + 9; d = g + 18. Given that q = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 9 to z, which gives z = r + 28.\n2. Substitute r = c + 8 to z, which gives z = c + 36.\n3. Substitute c = h + 2 to z, which gives z = h + 38.\n4. Substitute h = j + 14 to z, which gives z = j + 52.\n5. Substitute j = q + 8 to z, which gives z = q + 60.\n6. Substitute q = 15 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 23409,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 6; g = q + 10; c = h + 2; j = q + 8; x = t + 19; q = 15; h = j + 14; z = o + 19; u = x + 4; r = c + 8; t = e + 8; o = r + 9; d = g + 18. Given that q = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 11", "p": "k + 18", "m": "p + 3", "v": "m + 6", "f": "v + 14", "x": "f + 19", "u": "h + 18", "s": "u + 12", "a": "s + 17", "i": "a + 1", "e": "i + 18", "g": "e + 2", "h": 13}, "premises": {"h": 13}, "target": "x"}, "answer": {"steps": [["f", "v + 14", "v + 33"], ["v", "m + 6", "m + 39"], ["m", "p + 3", "p + 42"], ["p", "k + 18", "k + 60"], ["k", "h + 11", "h + 71"], ["h", 13, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"h": 13}, "is_reverse": true}} | 23,410 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 14; s = u + 12; h = 13; g = e + 2; e = i + 18; x = f + 19; v = m + 6; m = p + 3; a = s + 17; i = a + 1; u = h + 18; k = h + 11; p = k + 18. If h = 13, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 14 to x, which gives x = v + 33.\n2. Substitute v = m + 6 to x, which gives x = m + 39.\n3. Substitute m = p + 3 to x, which gives x = p + 42.\n4. Substitute p = k + 18 to x, which gives x = k + 60.\n5. Substitute k = h + 11 to x, which gives x = h + 71.\n6. Substitute h = 13 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 23410,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 14; s = u + 12; h = 13; g = e + 2; e = i + 18; x = f + 19; v = m + 6; m = p + 3; a = s + 17; i = a + 1; u = h + 18; k = h + 11; p = k + 18. If h = 13, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"a": "d + 16", "v": "a + 18", "t": "v + 12", "g": "t + 9", "l": "g + 1", "x": "l + 18", "y": "d + 14", "p": "y + 16", "z": "p + 5", "e": "z + 13", "o": "e + 4", "m": "o + 20", "d": 2}, "premises": {"d": 2}, "target": "x"}, "answer": {"steps": [["l", "g + 1", "g + 19"], ["g", "t + 9", "t + 28"], ["t", "v + 12", "v + 40"], ["v", "a + 18", "a + 58"], ["a", "d + 16", "d + 74"], ["d", 2, "76"]], "target_var_name": "x", "target_value": 76, "value_dict": {"d": 2}, "is_reverse": true}} | 23,411 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 5; g = t + 9; x = l + 18; l = g + 1; t = v + 12; a = d + 16; p = y + 16; y = d + 14; e = z + 13; v = a + 18; o = e + 4; d = 2; m = o + 20. Given that d = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 1 to x, which gives x = g + 19.\n2. Substitute g = t + 9 to x, which gives x = t + 28.\n3. Substitute t = v + 12 to x, which gives x = v + 40.\n4. Substitute v = a + 18 to x, which gives x = a + 58.\n5. Substitute a = d + 16 to x, which gives x = d + 74.\n6. Substitute d = 2 to x, which gives x = 76.\n\nThus, the final answer is x = \\boxed{76}.",
"index": 23411,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 5; g = t + 9; x = l + 18; l = g + 1; t = v + 12; a = d + 16; p = y + 16; y = d + 14; e = z + 13; v = a + 18; o = e + 4; d = 2; m = o + 20. Given that d = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 12", "s": "r + 9", "o": "s + 18", "l": "o + 19", "j": "l + 12", "y": "j + 6", "k": "g + 5", "x": "k + 4", "t": "x + 9", "n": "t + 20", "b": "n + 17", "c": "b + 5", "g": 6}, "premises": {"g": 6}, "target": "y"}, "answer": {"steps": [["j", "l + 12", "l + 18"], ["l", "o + 19", "o + 37"], ["o", "s + 18", "s + 55"], ["s", "r + 9", "r + 64"], ["r", "g + 12", "g + 76"], ["g", 6, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"g": 6}, "is_reverse": true}} | 23,412 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 18; t = x + 9; k = g + 5; g = 6; b = n + 17; n = t + 20; y = j + 6; l = o + 19; c = b + 5; x = k + 4; s = r + 9; j = l + 12; r = g + 12. Given that g = 6, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 12 to y, which gives y = l + 18.\n2. Substitute l = o + 19 to y, which gives y = o + 37.\n3. Substitute o = s + 18 to y, which gives y = s + 55.\n4. Substitute s = r + 9 to y, which gives y = r + 64.\n5. Substitute r = g + 12 to y, which gives y = g + 76.\n6. Substitute g = 6 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 23412,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 18; t = x + 9; k = g + 5; g = 6; b = n + 17; n = t + 20; y = j + 6; l = o + 19; c = b + 5; x = k + 4; s = r + 9; j = l + 12; r = g + 12. Given that g = 6, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 17", "v": "g + 4", "w": "v + 20", "f": "w + 10", "l": "f + 8", "u": "l + 16", "a": "h + 4", "y": "a + 16", "c": "y + 7", "k": "c + 19", "n": "k + 2", "x": "n + 15", "h": 16}, "premises": {"h": 16}, "target": "u"}, "answer": {"steps": [["l", "f + 8", "f + 24"], ["f", "w + 10", "w + 34"], ["w", "v + 20", "v + 54"], ["v", "g + 4", "g + 58"], ["g", "h + 17", "h + 75"], ["h", 16, "91"]], "target_var_name": "u", "target_value": 91, "value_dict": {"h": 16}, "is_reverse": true}} | 23,413 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = c + 19; w = v + 20; x = n + 15; g = h + 17; u = l + 16; v = g + 4; a = h + 4; h = 16; y = a + 16; c = y + 7; l = f + 8; f = w + 10; n = k + 2. If h = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 8 to u, which gives u = f + 24.\n2. Substitute f = w + 10 to u, which gives u = w + 34.\n3. Substitute w = v + 20 to u, which gives u = v + 54.\n4. Substitute v = g + 4 to u, which gives u = g + 58.\n5. Substitute g = h + 17 to u, which gives u = h + 75.\n6. Substitute h = 16 to u, which gives u = 91.\n\nThus, the final answer is u = \\boxed{91}.",
"index": 23413,
"question": "Consider a system of variables where each variable is defined as follows: k = c + 19; w = v + 20; x = n + 15; g = h + 17; u = l + 16; v = g + 4; a = h + 4; h = 16; y = a + 16; c = y + 7; l = f + 8; f = w + 10; n = k + 2. If h = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 5", "s": "g + 9", "h": "s + 14", "w": "h + 3", "d": "w + 10", "y": "d + 3", "e": "f + 12", "b": "e + 4", "p": "b + 20", "o": "p + 12", "q": "o + 18", "n": "q + 12", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["d", "w + 10", "w + 13"], ["w", "h + 3", "h + 16"], ["h", "s + 14", "s + 30"], ["s", "g + 9", "g + 39"], ["g", "f + 5", "f + 44"], ["f", 7, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"f": 7}, "is_reverse": true}} | 23,414 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 7; n = q + 12; h = s + 14; q = o + 18; g = f + 5; o = p + 12; d = w + 10; s = g + 9; w = h + 3; y = d + 3; b = e + 4; e = f + 12; p = b + 20. If f = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 10 to y, which gives y = w + 13.\n2. Substitute w = h + 3 to y, which gives y = h + 16.\n3. Substitute h = s + 14 to y, which gives y = s + 30.\n4. Substitute s = g + 9 to y, which gives y = g + 39.\n5. Substitute g = f + 5 to y, which gives y = f + 44.\n6. Substitute f = 7 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 23414,
"question": "Consider a system of variables where each variable is defined as follows: f = 7; n = q + 12; h = s + 14; q = o + 18; g = f + 5; o = p + 12; d = w + 10; s = g + 9; w = h + 3; y = d + 3; b = e + 4; e = f + 12; p = b + 20. If f = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "w + 5", "u": "a + 19", "e": "u + 13", "f": "e + 14", "z": "f + 16", "r": "z + 20", "d": "w + 5", "k": "d + 9", "c": "k + 11", "p": "c + 18", "x": "p + 18", "b": "x + 13", "w": 2}, "premises": {"w": 2}, "target": "r"}, "answer": {"steps": [["z", "f + 16", "f + 36"], ["f", "e + 14", "e + 50"], ["e", "u + 13", "u + 63"], ["u", "a + 19", "a + 82"], ["a", "w + 5", "w + 87"], ["w", 2, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"w": 2}, "is_reverse": true}} | 23,415 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 18; k = d + 9; w = 2; z = f + 16; f = e + 14; d = w + 5; u = a + 19; p = c + 18; c = k + 11; a = w + 5; e = u + 13; r = z + 20; b = x + 13. If w = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 16 to r, which gives r = f + 36.\n2. Substitute f = e + 14 to r, which gives r = e + 50.\n3. Substitute e = u + 13 to r, which gives r = u + 63.\n4. Substitute u = a + 19 to r, which gives r = a + 82.\n5. Substitute a = w + 5 to r, which gives r = w + 87.\n6. Substitute w = 2 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 23415,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 18; k = d + 9; w = 2; z = f + 16; f = e + 14; d = w + 5; u = a + 19; p = c + 18; c = k + 11; a = w + 5; e = u + 13; r = z + 20; b = x + 13. If w = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 12", "m": "k + 19", "s": "m + 18", "v": "s + 6", "q": "v + 16", "f": "q + 11", "t": "r + 4", "c": "t + 2", "w": "c + 11", "l": "w + 19", "h": "l + 5", "g": "h + 8", "r": 18}, "premises": {"r": 18}, "target": "f"}, "answer": {"steps": [["q", "v + 16", "v + 27"], ["v", "s + 6", "s + 33"], ["s", "m + 18", "m + 51"], ["m", "k + 19", "k + 70"], ["k", "r + 12", "r + 82"], ["r", 18, "100"]], "target_var_name": "f", "target_value": 100, "value_dict": {"r": 18}, "is_reverse": true}} | 23,416 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 5; w = c + 11; v = s + 6; f = q + 11; k = r + 12; m = k + 19; c = t + 2; t = r + 4; r = 18; g = h + 8; q = v + 16; s = m + 18; l = w + 19. Given that r = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 16 to f, which gives f = v + 27.\n2. Substitute v = s + 6 to f, which gives f = s + 33.\n3. Substitute s = m + 18 to f, which gives f = m + 51.\n4. Substitute m = k + 19 to f, which gives f = k + 70.\n5. Substitute k = r + 12 to f, which gives f = r + 82.\n6. Substitute r = 18 to f, which gives f = 100.\n\nThus, the final answer is f = \\boxed{100}.",
"index": 23416,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 5; w = c + 11; v = s + 6; f = q + 11; k = r + 12; m = k + 19; c = t + 2; t = r + 4; r = 18; g = h + 8; q = v + 16; s = m + 18; l = w + 19. Given that r = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 3", "k": "e + 6", "n": "k + 10", "b": "n + 7", "q": "b + 6", "p": "q + 16", "g": "d + 20", "f": "g + 1", "j": "f + 2", "l": "j + 18", "m": "l + 6", "c": "m + 14", "d": 14}, "premises": {"d": 14}, "target": "p"}, "answer": {"steps": [["q", "b + 6", "b + 22"], ["b", "n + 7", "n + 29"], ["n", "k + 10", "k + 39"], ["k", "e + 6", "e + 45"], ["e", "d + 3", "d + 48"], ["d", 14, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"d": 14}, "is_reverse": true}} | 23,417 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; b = n + 7; f = g + 1; j = f + 2; q = b + 6; l = j + 18; k = e + 6; d = 14; c = m + 14; g = d + 20; e = d + 3; m = l + 6; p = q + 16. If d = 14, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 6 to p, which gives p = b + 22.\n2. Substitute b = n + 7 to p, which gives p = n + 29.\n3. Substitute n = k + 10 to p, which gives p = k + 39.\n4. Substitute k = e + 6 to p, which gives p = e + 45.\n5. Substitute e = d + 3 to p, which gives p = d + 48.\n6. Substitute d = 14 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 23417,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; b = n + 7; f = g + 1; j = f + 2; q = b + 6; l = j + 18; k = e + 6; d = 14; c = m + 14; g = d + 20; e = d + 3; m = l + 6; p = q + 16. If d = 14, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 14", "a": "o + 11", "u": "a + 19", "w": "u + 18", "c": "w + 14", "l": "c + 20", "b": "x + 15", "j": "b + 20", "n": "j + 14", "i": "n + 9", "q": "i + 3", "h": "q + 17", "x": 3}, "premises": {"x": 3}, "target": "l"}, "answer": {"steps": [["c", "w + 14", "w + 34"], ["w", "u + 18", "u + 52"], ["u", "a + 19", "a + 71"], ["a", "o + 11", "o + 82"], ["o", "x + 14", "x + 96"], ["x", 3, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"x": 3}, "is_reverse": true}} | 23,418 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = c + 20; u = a + 19; o = x + 14; c = w + 14; q = i + 3; h = q + 17; w = u + 18; a = o + 11; i = n + 9; n = j + 14; b = x + 15; j = b + 20; x = 3. If x = 3, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 14 to l, which gives l = w + 34.\n2. Substitute w = u + 18 to l, which gives l = u + 52.\n3. Substitute u = a + 19 to l, which gives l = a + 71.\n4. Substitute a = o + 11 to l, which gives l = o + 82.\n5. Substitute o = x + 14 to l, which gives l = x + 96.\n6. Substitute x = 3 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 23418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = c + 20; u = a + 19; o = x + 14; c = w + 14; q = i + 3; h = q + 17; w = u + 18; a = o + 11; i = n + 9; n = j + 14; b = x + 15; j = b + 20; x = 3. If x = 3, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 12", "p": "o + 8", "k": "p + 6", "y": "k + 14", "r": "y + 12", "z": "r + 16", "q": "f + 10", "l": "q + 13", "a": "l + 19", "v": "a + 13", "w": "v + 16", "d": "w + 3", "f": 13}, "premises": {"f": 13}, "target": "z"}, "answer": {"steps": [["r", "y + 12", "y + 28"], ["y", "k + 14", "k + 42"], ["k", "p + 6", "p + 48"], ["p", "o + 8", "o + 56"], ["o", "f + 12", "f + 68"], ["f", 13, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"f": 13}, "is_reverse": true}} | 23,419 | 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 = a + 13; p = o + 8; f = 13; r = y + 12; l = q + 13; o = f + 12; a = l + 19; d = w + 3; k = p + 6; y = k + 14; q = f + 10; z = r + 16; w = v + 16. If f = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 12 to z, which gives z = y + 28.\n2. Substitute y = k + 14 to z, which gives z = k + 42.\n3. Substitute k = p + 6 to z, which gives z = p + 48.\n4. Substitute p = o + 8 to z, which gives z = o + 56.\n5. Substitute o = f + 12 to z, which gives z = f + 68.\n6. Substitute f = 13 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 23419,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = a + 13; p = o + 8; f = 13; r = y + 12; l = q + 13; o = f + 12; a = l + 19; d = w + 3; k = p + 6; y = k + 14; q = f + 10; z = r + 16; w = v + 16. If f = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 20", "o": "h + 10", "w": "o + 7", "s": "w + 6", "g": "s + 2", "n": "g + 2", "v": "u + 7", "y": "v + 20", "m": "y + 13", "q": "m + 4", "i": "q + 2", "f": "i + 8", "u": 7}, "premises": {"u": 7}, "target": "n"}, "answer": {"steps": [["g", "s + 2", "s + 4"], ["s", "w + 6", "w + 10"], ["w", "o + 7", "o + 17"], ["o", "h + 10", "h + 27"], ["h", "u + 20", "u + 47"], ["u", 7, "54"]], "target_var_name": "n", "target_value": 54, "value_dict": {"u": 7}, "is_reverse": true}} | 23,420 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 8; m = y + 13; u = 7; s = w + 6; i = q + 2; g = s + 2; y = v + 20; h = u + 20; q = m + 4; v = u + 7; n = g + 2; o = h + 10; w = o + 7. If u = 7, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 2 to n, which gives n = s + 4.\n2. Substitute s = w + 6 to n, which gives n = w + 10.\n3. Substitute w = o + 7 to n, which gives n = o + 17.\n4. Substitute o = h + 10 to n, which gives n = h + 27.\n5. Substitute h = u + 20 to n, which gives n = u + 47.\n6. Substitute u = 7 to n, which gives n = 54.\n\nThus, the final answer is n = \\boxed{54}.",
"index": 23420,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = i + 8; m = y + 13; u = 7; s = w + 6; i = q + 2; g = s + 2; y = v + 20; h = u + 20; q = m + 4; v = u + 7; n = g + 2; o = h + 10; w = o + 7. If u = 7, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "b + 2", "n": "g + 2", "q": "n + 9", "v": "q + 19", "j": "v + 10", "k": "j + 13", "t": "b + 20", "u": "t + 16", "z": "u + 13", "p": "z + 16", "o": "p + 4", "e": "o + 14", "b": 3}, "premises": {"b": 3}, "target": "k"}, "answer": {"steps": [["j", "v + 10", "v + 23"], ["v", "q + 19", "q + 42"], ["q", "n + 9", "n + 51"], ["n", "g + 2", "g + 53"], ["g", "b + 2", "b + 55"], ["b", 3, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"b": 3}, "is_reverse": true}} | 23,421 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 20; j = v + 10; p = z + 16; b = 3; e = o + 14; q = n + 9; n = g + 2; k = j + 13; v = q + 19; g = b + 2; z = u + 13; o = p + 4; u = t + 16. If b = 3, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 10 to k, which gives k = v + 23.\n2. Substitute v = q + 19 to k, which gives k = q + 42.\n3. Substitute q = n + 9 to k, which gives k = n + 51.\n4. Substitute n = g + 2 to k, which gives k = g + 53.\n5. Substitute g = b + 2 to k, which gives k = b + 55.\n6. Substitute b = 3 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 23421,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 20; j = v + 10; p = z + 16; b = 3; e = o + 14; q = n + 9; n = g + 2; k = j + 13; v = q + 19; g = b + 2; z = u + 13; o = p + 4; u = t + 16. If b = 3, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 8", "c": "x + 20", "o": "c + 4", "l": "o + 7", "t": "l + 17", "w": "t + 5", "u": "k + 15", "g": "u + 2", "p": "g + 18", "v": "p + 9", "b": "v + 11", "d": "b + 17", "k": 6}, "premises": {"k": 6}, "target": "w"}, "answer": {"steps": [["t", "l + 17", "l + 22"], ["l", "o + 7", "o + 29"], ["o", "c + 4", "c + 33"], ["c", "x + 20", "x + 53"], ["x", "k + 8", "k + 61"], ["k", 6, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"k": 6}, "is_reverse": true}} | 23,422 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 9; k = 6; u = k + 15; p = g + 18; o = c + 4; g = u + 2; l = o + 7; d = b + 17; x = k + 8; c = x + 20; w = t + 5; t = l + 17; b = v + 11. Given that k = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 17 to w, which gives w = l + 22.\n2. Substitute l = o + 7 to w, which gives w = o + 29.\n3. Substitute o = c + 4 to w, which gives w = c + 33.\n4. Substitute c = x + 20 to w, which gives w = x + 53.\n5. Substitute x = k + 8 to w, which gives w = k + 61.\n6. Substitute k = 6 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 23422,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 9; k = 6; u = k + 15; p = g + 18; o = c + 4; g = u + 2; l = o + 7; d = b + 17; x = k + 8; c = x + 20; w = t + 5; t = l + 17; b = v + 11. Given that k = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 15", "w": "q + 13", "e": "w + 19", "r": "e + 10", "l": "r + 3", "m": "l + 17", "g": "y + 13", "a": "g + 19", "d": "a + 17", "h": "d + 19", "f": "h + 17", "u": "f + 2", "y": 3}, "premises": {"y": 3}, "target": "m"}, "answer": {"steps": [["l", "r + 3", "r + 20"], ["r", "e + 10", "e + 30"], ["e", "w + 19", "w + 49"], ["w", "q + 13", "q + 62"], ["q", "y + 15", "y + 77"], ["y", 3, "80"]], "target_var_name": "m", "target_value": 80, "value_dict": {"y": 3}, "is_reverse": true}} | 23,423 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 17; d = a + 17; y = 3; u = f + 2; h = d + 19; a = g + 19; q = y + 15; l = r + 3; m = l + 17; w = q + 13; g = y + 13; e = w + 19; r = e + 10. If y = 3, what is the resulting 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 l = r + 3 to m, which gives m = r + 20.\n2. Substitute r = e + 10 to m, which gives m = e + 30.\n3. Substitute e = w + 19 to m, which gives m = w + 49.\n4. Substitute w = q + 13 to m, which gives m = q + 62.\n5. Substitute q = y + 15 to m, which gives m = y + 77.\n6. Substitute y = 3 to m, which gives m = 80.\n\nThus, the final answer is m = \\boxed{80}.",
"index": 23423,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 17; d = a + 17; y = 3; u = f + 2; h = d + 19; a = g + 19; q = y + 15; l = r + 3; m = l + 17; w = q + 13; g = y + 13; e = w + 19; r = e + 10. If y = 3, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 8", "x": "k + 13", "d": "x + 16", "c": "d + 11", "m": "c + 5", "s": "m + 10", "z": "r + 16", "a": "z + 13", "w": "a + 2", "o": "w + 9", "h": "o + 3", "b": "h + 10", "r": 1}, "premises": {"r": 1}, "target": "s"}, "answer": {"steps": [["m", "c + 5", "c + 15"], ["c", "d + 11", "d + 26"], ["d", "x + 16", "x + 42"], ["x", "k + 13", "k + 55"], ["k", "r + 8", "r + 63"], ["r", 1, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"r": 1}, "is_reverse": true}} | 23,424 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 13; k = r + 8; c = d + 11; w = a + 2; a = z + 13; z = r + 16; o = w + 9; m = c + 5; h = o + 3; b = h + 10; d = x + 16; s = m + 10; r = 1. If r = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 5 to s, which gives s = c + 15.\n2. Substitute c = d + 11 to s, which gives s = d + 26.\n3. Substitute d = x + 16 to s, which gives s = x + 42.\n4. Substitute x = k + 13 to s, which gives s = k + 55.\n5. Substitute k = r + 8 to s, which gives s = r + 63.\n6. Substitute r = 1 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 23424,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 13; k = r + 8; c = d + 11; w = a + 2; a = z + 13; z = r + 16; o = w + 9; m = c + 5; h = o + 3; b = h + 10; d = x + 16; s = m + 10; r = 1. If r = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 20", "r": "n + 16", "m": "r + 6", "p": "m + 10", "y": "p + 7", "c": "y + 20", "u": "f + 3", "w": "u + 7", "h": "w + 7", "z": "h + 5", "o": "z + 10", "g": "o + 19", "f": 4}, "premises": {"f": 4}, "target": "c"}, "answer": {"steps": [["y", "p + 7", "p + 27"], ["p", "m + 10", "m + 37"], ["m", "r + 6", "r + 43"], ["r", "n + 16", "n + 59"], ["n", "f + 20", "f + 79"], ["f", 4, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"f": 4}, "is_reverse": true}} | 23,425 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = f + 3; c = y + 20; z = h + 5; h = w + 7; p = m + 10; m = r + 6; o = z + 10; n = f + 20; f = 4; g = o + 19; y = p + 7; r = n + 16; w = u + 7. Given that f = 4, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 7 to c, which gives c = p + 27.\n2. Substitute p = m + 10 to c, which gives c = m + 37.\n3. Substitute m = r + 6 to c, which gives c = r + 43.\n4. Substitute r = n + 16 to c, which gives c = n + 59.\n5. Substitute n = f + 20 to c, which gives c = f + 79.\n6. Substitute f = 4 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 23425,
"question": "Suppose a collection of variables is related by the following definitions: u = f + 3; c = y + 20; z = h + 5; h = w + 7; p = m + 10; m = r + 6; o = z + 10; n = f + 20; f = 4; g = o + 19; y = p + 7; r = n + 16; w = u + 7. Given that f = 4, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 1", "l": "k + 11", "g": "l + 7", "q": "g + 1", "e": "q + 3", "j": "e + 7", "b": "s + 10", "x": "b + 19", "i": "x + 2", "n": "i + 14", "a": "n + 13", "t": "a + 4", "s": 6}, "premises": {"s": 6}, "target": "j"}, "answer": {"steps": [["e", "q + 3", "q + 10"], ["q", "g + 1", "g + 11"], ["g", "l + 7", "l + 18"], ["l", "k + 11", "k + 29"], ["k", "s + 1", "s + 30"], ["s", 6, "36"]], "target_var_name": "j", "target_value": 36, "value_dict": {"s": 6}, "is_reverse": true}} | 23,426 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 14; j = e + 7; s = 6; q = g + 1; x = b + 19; e = q + 3; g = l + 7; a = n + 13; t = a + 4; l = k + 11; i = x + 2; b = s + 10; k = s + 1. If s = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 3 to j, which gives j = q + 10.\n2. Substitute q = g + 1 to j, which gives j = g + 11.\n3. Substitute g = l + 7 to j, which gives j = l + 18.\n4. Substitute l = k + 11 to j, which gives j = k + 29.\n5. Substitute k = s + 1 to j, which gives j = s + 30.\n6. Substitute s = 6 to j, which gives j = 36.\n\nThus, the final answer is j = \\boxed{36}.",
"index": 23426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = i + 14; j = e + 7; s = 6; q = g + 1; x = b + 19; e = q + 3; g = l + 7; a = n + 13; t = a + 4; l = k + 11; i = x + 2; b = s + 10; k = s + 1. If s = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 8", "j": "l + 5", "p": "j + 10", "a": "p + 12", "h": "a + 1", "u": "h + 13", "r": "w + 12", "z": "r + 13", "d": "z + 17", "e": "d + 20", "q": "e + 3", "v": "q + 7", "w": 8}, "premises": {"w": 8}, "target": "u"}, "answer": {"steps": [["h", "a + 1", "a + 14"], ["a", "p + 12", "p + 26"], ["p", "j + 10", "j + 36"], ["j", "l + 5", "l + 41"], ["l", "w + 8", "w + 49"], ["w", 8, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"w": 8}, "is_reverse": true}} | 23,427 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 20; a = p + 12; z = r + 13; j = l + 5; p = j + 10; h = a + 1; l = w + 8; u = h + 13; q = e + 3; w = 8; d = z + 17; r = w + 12; v = q + 7. Given that w = 8, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 1 to u, which gives u = a + 14.\n2. Substitute a = p + 12 to u, which gives u = p + 26.\n3. Substitute p = j + 10 to u, which gives u = j + 36.\n4. Substitute j = l + 5 to u, which gives u = l + 41.\n5. Substitute l = w + 8 to u, which gives u = w + 49.\n6. Substitute w = 8 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 23427,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 20; a = p + 12; z = r + 13; j = l + 5; p = j + 10; h = a + 1; l = w + 8; u = h + 13; q = e + 3; w = 8; d = z + 17; r = w + 12; v = q + 7. Given that w = 8, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 20", "f": "y + 11", "s": "f + 4", "l": "s + 1", "m": "l + 8", "j": "m + 18", "v": "n + 8", "t": "v + 12", "z": "t + 18", "i": "z + 9", "o": "i + 2", "k": "o + 3", "n": 16}, "premises": {"n": 16}, "target": "j"}, "answer": {"steps": [["m", "l + 8", "l + 26"], ["l", "s + 1", "s + 27"], ["s", "f + 4", "f + 31"], ["f", "y + 11", "y + 42"], ["y", "n + 20", "n + 62"], ["n", 16, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"n": 16}, "is_reverse": true}} | 23,428 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = n + 8; z = t + 18; l = s + 1; i = z + 9; k = o + 3; t = v + 12; m = l + 8; f = y + 11; j = m + 18; o = i + 2; n = 16; y = n + 20; s = f + 4. Given that n = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 8 to j, which gives j = l + 26.\n2. Substitute l = s + 1 to j, which gives j = s + 27.\n3. Substitute s = f + 4 to j, which gives j = f + 31.\n4. Substitute f = y + 11 to j, which gives j = y + 42.\n5. Substitute y = n + 20 to j, which gives j = n + 62.\n6. Substitute n = 16 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 23428,
"question": "Suppose a collection of variables is related by the following definitions: v = n + 8; z = t + 18; l = s + 1; i = z + 9; k = o + 3; t = v + 12; m = l + 8; f = y + 11; j = m + 18; o = i + 2; n = 16; y = n + 20; s = f + 4. Given that n = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 19", "v": "g + 1", "x": "v + 14", "w": "x + 3", "c": "w + 17", "m": "c + 4", "y": "r + 12", "j": "y + 20", "f": "j + 9", "z": "f + 3", "h": "z + 9", "t": "h + 3", "r": 6}, "premises": {"r": 6}, "target": "m"}, "answer": {"steps": [["c", "w + 17", "w + 21"], ["w", "x + 3", "x + 24"], ["x", "v + 14", "v + 38"], ["v", "g + 1", "g + 39"], ["g", "r + 19", "r + 58"], ["r", 6, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"r": 6}, "is_reverse": true}} | 23,429 | 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 = g + 1; z = f + 3; w = x + 3; t = h + 3; x = v + 14; r = 6; f = j + 9; c = w + 17; g = r + 19; m = c + 4; h = z + 9; y = r + 12; j = y + 20. If r = 6, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 17 to m, which gives m = w + 21.\n2. Substitute w = x + 3 to m, which gives m = x + 24.\n3. Substitute x = v + 14 to m, which gives m = v + 38.\n4. Substitute v = g + 1 to m, which gives m = g + 39.\n5. Substitute g = r + 19 to m, which gives m = r + 58.\n6. Substitute r = 6 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 23429,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = g + 1; z = f + 3; w = x + 3; t = h + 3; x = v + 14; r = 6; f = j + 9; c = w + 17; g = r + 19; m = c + 4; h = z + 9; y = r + 12; j = y + 20. If r = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 12", "k": "q + 10", "j": "k + 1", "x": "j + 2", "o": "x + 6", "t": "o + 15", "p": "f + 17", "h": "p + 7", "v": "h + 14", "y": "v + 6", "i": "y + 2", "r": "i + 18", "f": 16}, "premises": {"f": 16}, "target": "t"}, "answer": {"steps": [["o", "x + 6", "x + 21"], ["x", "j + 2", "j + 23"], ["j", "k + 1", "k + 24"], ["k", "q + 10", "q + 34"], ["q", "f + 12", "f + 46"], ["f", 16, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"f": 16}, "is_reverse": true}} | 23,430 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 6; v = h + 14; j = k + 1; k = q + 10; f = 16; q = f + 12; y = v + 6; r = i + 18; x = j + 2; t = o + 15; h = p + 7; p = f + 17; i = y + 2. Given that f = 16, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 6 to t, which gives t = x + 21.\n2. Substitute x = j + 2 to t, which gives t = j + 23.\n3. Substitute j = k + 1 to t, which gives t = k + 24.\n4. Substitute k = q + 10 to t, which gives t = q + 34.\n5. Substitute q = f + 12 to t, which gives t = f + 46.\n6. Substitute f = 16 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 23430,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 6; v = h + 14; j = k + 1; k = q + 10; f = 16; q = f + 12; y = v + 6; r = i + 18; x = j + 2; t = o + 15; h = p + 7; p = f + 17; i = y + 2. Given that f = 16, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 16", "f": "y + 8", "b": "f + 13", "t": "b + 14", "m": "t + 19", "x": "m + 10", "i": "s + 3", "v": "i + 10", "q": "v + 20", "r": "q + 16", "a": "r + 4", "p": "a + 8", "s": 10}, "premises": {"s": 10}, "target": "x"}, "answer": {"steps": [["m", "t + 19", "t + 29"], ["t", "b + 14", "b + 43"], ["b", "f + 13", "f + 56"], ["f", "y + 8", "y + 64"], ["y", "s + 16", "s + 80"], ["s", 10, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"s": 10}, "is_reverse": true}} | 23,431 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 10; r = q + 16; p = a + 8; m = t + 19; q = v + 20; y = s + 16; t = b + 14; s = 10; a = r + 4; f = y + 8; b = f + 13; i = s + 3; x = m + 10. If s = 10, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 19 to x, which gives x = t + 29.\n2. Substitute t = b + 14 to x, which gives x = b + 43.\n3. Substitute b = f + 13 to x, which gives x = f + 56.\n4. Substitute f = y + 8 to x, which gives x = y + 64.\n5. Substitute y = s + 16 to x, which gives x = s + 80.\n6. Substitute s = 10 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 23431,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 10; r = q + 16; p = a + 8; m = t + 19; q = v + 20; y = s + 16; t = b + 14; s = 10; a = r + 4; f = y + 8; b = f + 13; i = s + 3; x = m + 10. If s = 10, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 12", "o": "c + 11", "m": "o + 4", "a": "m + 1", "b": "a + 17", "s": "b + 4", "g": "n + 9", "w": "g + 20", "v": "w + 3", "j": "v + 15", "e": "j + 2", "y": "e + 13", "n": 3}, "premises": {"n": 3}, "target": "s"}, "answer": {"steps": [["b", "a + 17", "a + 21"], ["a", "m + 1", "m + 22"], ["m", "o + 4", "o + 26"], ["o", "c + 11", "c + 37"], ["c", "n + 12", "n + 49"], ["n", 3, "52"]], "target_var_name": "s", "target_value": 52, "value_dict": {"n": 3}, "is_reverse": true}} | 23,432 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 12; o = c + 11; m = o + 4; y = e + 13; n = 3; s = b + 4; v = w + 3; b = a + 17; w = g + 20; a = m + 1; e = j + 2; g = n + 9; j = v + 15. If n = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 17 to s, which gives s = a + 21.\n2. Substitute a = m + 1 to s, which gives s = m + 22.\n3. Substitute m = o + 4 to s, which gives s = o + 26.\n4. Substitute o = c + 11 to s, which gives s = c + 37.\n5. Substitute c = n + 12 to s, which gives s = n + 49.\n6. Substitute n = 3 to s, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 23432,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 12; o = c + 11; m = o + 4; y = e + 13; n = 3; s = b + 4; v = w + 3; b = a + 17; w = g + 20; a = m + 1; e = j + 2; g = n + 9; j = v + 15. If n = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 9", "y": "g + 1", "r": "y + 5", "q": "r + 17", "d": "q + 18", "a": "d + 20", "l": "n + 6", "i": "l + 17", "o": "i + 2", "v": "o + 10", "e": "v + 20", "u": "e + 5", "n": 13}, "premises": {"n": 13}, "target": "a"}, "answer": {"steps": [["d", "q + 18", "q + 38"], ["q", "r + 17", "r + 55"], ["r", "y + 5", "y + 60"], ["y", "g + 1", "g + 61"], ["g", "n + 9", "n + 70"], ["n", 13, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"n": 13}, "is_reverse": true}} | 23,433 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = n + 9; r = y + 5; e = v + 20; l = n + 6; y = g + 1; a = d + 20; n = 13; v = o + 10; d = q + 18; q = r + 17; u = e + 5; i = l + 17; o = i + 2. Given that n = 13, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 18 to a, which gives a = q + 38.\n2. Substitute q = r + 17 to a, which gives a = r + 55.\n3. Substitute r = y + 5 to a, which gives a = y + 60.\n4. Substitute y = g + 1 to a, which gives a = g + 61.\n5. Substitute g = n + 9 to a, which gives a = n + 70.\n6. Substitute n = 13 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 23433,
"question": "Suppose a collection of variables is related by the following definitions: g = n + 9; r = y + 5; e = v + 20; l = n + 6; y = g + 1; a = d + 20; n = 13; v = o + 10; d = q + 18; q = r + 17; u = e + 5; i = l + 17; o = i + 2. Given that n = 13, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 8", "e": "l + 13", "o": "e + 9", "j": "o + 20", "r": "j + 14", "b": "r + 9", "x": "v + 20", "g": "x + 16", "p": "g + 16", "w": "p + 14", "z": "w + 19", "y": "z + 11", "v": 6}, "premises": {"v": 6}, "target": "b"}, "answer": {"steps": [["r", "j + 14", "j + 23"], ["j", "o + 20", "o + 43"], ["o", "e + 9", "e + 52"], ["e", "l + 13", "l + 65"], ["l", "v + 8", "v + 73"], ["v", 6, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"v": 6}, "is_reverse": true}} | 23,434 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 13; l = v + 8; w = p + 14; g = x + 16; z = w + 19; b = r + 9; v = 6; r = j + 14; o = e + 9; j = o + 20; x = v + 20; p = g + 16; y = z + 11. Given that v = 6, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 14 to b, which gives b = j + 23.\n2. Substitute j = o + 20 to b, which gives b = o + 43.\n3. Substitute o = e + 9 to b, which gives b = e + 52.\n4. Substitute e = l + 13 to b, which gives b = l + 65.\n5. Substitute l = v + 8 to b, which gives b = v + 73.\n6. Substitute v = 6 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 23434,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 13; l = v + 8; w = p + 14; g = x + 16; z = w + 19; b = r + 9; v = 6; r = j + 14; o = e + 9; j = o + 20; x = v + 20; p = g + 16; y = z + 11. Given that v = 6, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 10", "t": "j + 15", "l": "t + 2", "k": "l + 13", "a": "k + 15", "o": "a + 10", "z": "b + 16", "n": "z + 13", "v": "n + 20", "x": "v + 2", "u": "x + 15", "r": "u + 7", "b": 6}, "premises": {"b": 6}, "target": "o"}, "answer": {"steps": [["a", "k + 15", "k + 25"], ["k", "l + 13", "l + 38"], ["l", "t + 2", "t + 40"], ["t", "j + 15", "j + 55"], ["j", "b + 10", "b + 65"], ["b", 6, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"b": 6}, "is_reverse": true}} | 23,435 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = u + 7; k = l + 13; v = n + 20; b = 6; x = v + 2; a = k + 15; u = x + 15; n = z + 13; j = b + 10; l = t + 2; z = b + 16; o = a + 10; t = j + 15. Given that b = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 15 to o, which gives o = k + 25.\n2. Substitute k = l + 13 to o, which gives o = l + 38.\n3. Substitute l = t + 2 to o, which gives o = t + 40.\n4. Substitute t = j + 15 to o, which gives o = j + 55.\n5. Substitute j = b + 10 to o, which gives o = b + 65.\n6. Substitute b = 6 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 23435,
"question": "Suppose a collection of variables is related by the following definitions: r = u + 7; k = l + 13; v = n + 20; b = 6; x = v + 2; a = k + 15; u = x + 15; n = z + 13; j = b + 10; l = t + 2; z = b + 16; o = a + 10; t = j + 15. Given that b = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 6", "j": "k + 5", "r": "j + 8", "c": "r + 8", "u": "c + 8", "h": "u + 7", "m": "f + 8", "a": "m + 1", "y": "a + 2", "n": "y + 4", "s": "n + 10", "w": "s + 9", "f": 12}, "premises": {"f": 12}, "target": "h"}, "answer": {"steps": [["u", "c + 8", "c + 15"], ["c", "r + 8", "r + 23"], ["r", "j + 8", "j + 31"], ["j", "k + 5", "k + 36"], ["k", "f + 6", "f + 42"], ["f", 12, "54"]], "target_var_name": "h", "target_value": 54, "value_dict": {"f": 12}, "is_reverse": true}} | 23,436 | 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 + 7; s = n + 10; k = f + 6; f = 12; n = y + 4; u = c + 8; r = j + 8; a = m + 1; m = f + 8; y = a + 2; c = r + 8; j = k + 5; w = s + 9. If f = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 8 to h, which gives h = c + 15.\n2. Substitute c = r + 8 to h, which gives h = r + 23.\n3. Substitute r = j + 8 to h, which gives h = j + 31.\n4. Substitute j = k + 5 to h, which gives h = k + 36.\n5. Substitute k = f + 6 to h, which gives h = f + 42.\n6. Substitute f = 12 to h, which gives h = 54.\n\nThus, the final answer is h = \\boxed{54}.",
"index": 23436,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 7; s = n + 10; k = f + 6; f = 12; n = y + 4; u = c + 8; r = j + 8; a = m + 1; m = f + 8; y = a + 2; c = r + 8; j = k + 5; w = s + 9. If f = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "g + 17", "j": "y + 11", "x": "j + 20", "m": "x + 20", "b": "m + 11", "z": "b + 5", "v": "g + 6", "o": "v + 14", "e": "o + 13", "t": "e + 12", "k": "t + 6", "h": "k + 7", "g": 7}, "premises": {"g": 7}, "target": "z"}, "answer": {"steps": [["b", "m + 11", "m + 16"], ["m", "x + 20", "x + 36"], ["x", "j + 20", "j + 56"], ["j", "y + 11", "y + 67"], ["y", "g + 17", "g + 84"], ["g", 7, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"g": 7}, "is_reverse": true}} | 23,437 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 11; t = e + 12; h = k + 7; m = x + 20; o = v + 14; z = b + 5; g = 7; e = o + 13; b = m + 11; v = g + 6; k = t + 6; x = j + 20; y = g + 17. Given that g = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 11 to z, which gives z = m + 16.\n2. Substitute m = x + 20 to z, which gives z = x + 36.\n3. Substitute x = j + 20 to z, which gives z = j + 56.\n4. Substitute j = y + 11 to z, which gives z = y + 67.\n5. Substitute y = g + 17 to z, which gives z = g + 84.\n6. Substitute g = 7 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 23437,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 11; t = e + 12; h = k + 7; m = x + 20; o = v + 14; z = b + 5; g = 7; e = o + 13; b = m + 11; v = g + 6; k = t + 6; x = j + 20; y = g + 17. Given that g = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 17", "p": "y + 10", "m": "p + 1", "j": "m + 3", "v": "j + 13", "o": "v + 17", "u": "k + 10", "b": "u + 13", "f": "b + 14", "c": "f + 13", "h": "c + 10", "w": "h + 13", "k": 17}, "premises": {"k": 17}, "target": "o"}, "answer": {"steps": [["v", "j + 13", "j + 30"], ["j", "m + 3", "m + 33"], ["m", "p + 1", "p + 34"], ["p", "y + 10", "y + 44"], ["y", "k + 17", "k + 61"], ["k", 17, "78"]], "target_var_name": "o", "target_value": 78, "value_dict": {"k": 17}, "is_reverse": true}} | 23,438 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 14; c = f + 13; y = k + 17; w = h + 13; u = k + 10; m = p + 1; k = 17; o = v + 17; j = m + 3; h = c + 10; v = j + 13; b = u + 13; p = y + 10. Given that k = 17, 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 v = j + 13 to o, which gives o = j + 30.\n2. Substitute j = m + 3 to o, which gives o = m + 33.\n3. Substitute m = p + 1 to o, which gives o = p + 34.\n4. Substitute p = y + 10 to o, which gives o = y + 44.\n5. Substitute y = k + 17 to o, which gives o = k + 61.\n6. Substitute k = 17 to o, which gives o = 78.\n\nThus, the final answer is o = \\boxed{78}.",
"index": 23438,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 14; c = f + 13; y = k + 17; w = h + 13; u = k + 10; m = p + 1; k = 17; o = v + 17; j = m + 3; h = c + 10; v = j + 13; b = u + 13; p = y + 10. Given that k = 17, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 7", "f": "x + 10", "u": "f + 1", "w": "u + 11", "o": "w + 8", "k": "o + 11", "d": "v + 5", "b": "d + 15", "e": "b + 11", "j": "e + 11", "p": "j + 13", "z": "p + 16", "v": 3}, "premises": {"v": 3}, "target": "k"}, "answer": {"steps": [["o", "w + 8", "w + 19"], ["w", "u + 11", "u + 30"], ["u", "f + 1", "f + 31"], ["f", "x + 10", "x + 41"], ["x", "v + 7", "v + 48"], ["v", 3, "51"]], "target_var_name": "k", "target_value": 51, "value_dict": {"v": 3}, "is_reverse": true}} | 23,439 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 11; z = p + 16; k = o + 11; x = v + 7; o = w + 8; j = e + 11; u = f + 1; b = d + 15; v = 3; w = u + 11; p = j + 13; f = x + 10; d = v + 5. If v = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 8 to k, which gives k = w + 19.\n2. Substitute w = u + 11 to k, which gives k = u + 30.\n3. Substitute u = f + 1 to k, which gives k = f + 31.\n4. Substitute f = x + 10 to k, which gives k = x + 41.\n5. Substitute x = v + 7 to k, which gives k = v + 48.\n6. Substitute v = 3 to k, which gives k = 51.\n\nThus, the final answer is k = \\boxed{51}.",
"index": 23439,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 11; z = p + 16; k = o + 11; x = v + 7; o = w + 8; j = e + 11; u = f + 1; b = d + 15; v = 3; w = u + 11; p = j + 13; f = x + 10; d = v + 5. If v = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 10", "b": "w + 9", "z": "b + 17", "v": "z + 15", "o": "v + 19", "f": "o + 20", "p": "h + 3", "e": "p + 14", "d": "e + 3", "i": "d + 15", "x": "i + 11", "y": "x + 6", "h": 18}, "premises": {"h": 18}, "target": "f"}, "answer": {"steps": [["o", "v + 19", "v + 39"], ["v", "z + 15", "z + 54"], ["z", "b + 17", "b + 71"], ["b", "w + 9", "w + 80"], ["w", "h + 10", "h + 90"], ["h", 18, "108"]], "target_var_name": "f", "target_value": 108, "value_dict": {"h": 18}, "is_reverse": true}} | 23,440 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 15; w = h + 10; y = x + 6; d = e + 3; o = v + 19; h = 18; v = z + 15; e = p + 14; p = h + 3; f = o + 20; x = i + 11; b = w + 9; z = b + 17. Given that h = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 19 to f, which gives f = v + 39.\n2. Substitute v = z + 15 to f, which gives f = z + 54.\n3. Substitute z = b + 17 to f, which gives f = b + 71.\n4. Substitute b = w + 9 to f, which gives f = w + 80.\n5. Substitute w = h + 10 to f, which gives f = h + 90.\n6. Substitute h = 18 to f, which gives f = 108.\n\nThus, the final answer is f = \\boxed{108}.",
"index": 23440,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 15; w = h + 10; y = x + 6; d = e + 3; o = v + 19; h = 18; v = z + 15; e = p + 14; p = h + 3; f = o + 20; x = i + 11; b = w + 9; z = b + 17. Given that h = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "k + 15", "d": "a + 3", "l": "d + 10", "s": "l + 1", "o": "s + 11", "t": "o + 12", "n": "k + 1", "j": "n + 3", "h": "j + 9", "m": "h + 12", "z": "m + 15", "c": "z + 17", "k": 20}, "premises": {"k": 20}, "target": "t"}, "answer": {"steps": [["o", "s + 11", "s + 23"], ["s", "l + 1", "l + 24"], ["l", "d + 10", "d + 34"], ["d", "a + 3", "a + 37"], ["a", "k + 15", "k + 52"], ["k", 20, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"k": 20}, "is_reverse": true}} | 23,441 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = j + 9; o = s + 11; z = m + 15; l = d + 10; n = k + 1; m = h + 12; d = a + 3; c = z + 17; a = k + 15; s = l + 1; t = o + 12; k = 20; j = n + 3. Given that k = 20, 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 o = s + 11 to t, which gives t = s + 23.\n2. Substitute s = l + 1 to t, which gives t = l + 24.\n3. Substitute l = d + 10 to t, which gives t = d + 34.\n4. Substitute d = a + 3 to t, which gives t = a + 37.\n5. Substitute a = k + 15 to t, which gives t = k + 52.\n6. Substitute k = 20 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 23441,
"question": "Suppose a collection of variables is related by the following definitions: h = j + 9; o = s + 11; z = m + 15; l = d + 10; n = k + 1; m = h + 12; d = a + 3; c = z + 17; a = k + 15; s = l + 1; t = o + 12; k = 20; j = n + 3. Given that k = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 3", "w": "p + 2", "r": "w + 19", "o": "r + 12", "b": "o + 9", "l": "b + 18", "c": "t + 17", "i": "c + 13", "a": "i + 16", "f": "a + 6", "u": "f + 18", "v": "u + 8", "t": 10}, "premises": {"t": 10}, "target": "l"}, "answer": {"steps": [["b", "o + 9", "o + 27"], ["o", "r + 12", "r + 39"], ["r", "w + 19", "w + 58"], ["w", "p + 2", "p + 60"], ["p", "t + 3", "t + 63"], ["t", 10, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"t": 10}, "is_reverse": true}} | 23,442 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 2; o = r + 12; t = 10; c = t + 17; f = a + 6; a = i + 16; u = f + 18; i = c + 13; l = b + 18; p = t + 3; v = u + 8; r = w + 19; b = o + 9. If t = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 9 to l, which gives l = o + 27.\n2. Substitute o = r + 12 to l, which gives l = r + 39.\n3. Substitute r = w + 19 to l, which gives l = w + 58.\n4. Substitute w = p + 2 to l, which gives l = p + 60.\n5. Substitute p = t + 3 to l, which gives l = t + 63.\n6. Substitute t = 10 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 23442,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 2; o = r + 12; t = 10; c = t + 17; f = a + 6; a = i + 16; u = f + 18; i = c + 13; l = b + 18; p = t + 3; v = u + 8; r = w + 19; b = o + 9. If t = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 18", "a": "l + 18", "g": "a + 2", "w": "g + 10", "q": "w + 16", "i": "q + 11", "h": "z + 6", "c": "h + 15", "p": "c + 12", "u": "p + 16", "t": "u + 2", "j": "t + 20", "z": 3}, "premises": {"z": 3}, "target": "i"}, "answer": {"steps": [["q", "w + 16", "w + 27"], ["w", "g + 10", "g + 37"], ["g", "a + 2", "a + 39"], ["a", "l + 18", "l + 57"], ["l", "z + 18", "z + 75"], ["z", 3, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"z": 3}, "is_reverse": true}} | 23,443 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = z + 18; g = a + 2; i = q + 11; w = g + 10; p = c + 12; j = t + 20; h = z + 6; q = w + 16; c = h + 15; z = 3; t = u + 2; a = l + 18; u = p + 16. Given that z = 3, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 16 to i, which gives i = w + 27.\n2. Substitute w = g + 10 to i, which gives i = g + 37.\n3. Substitute g = a + 2 to i, which gives i = a + 39.\n4. Substitute a = l + 18 to i, which gives i = l + 57.\n5. Substitute l = z + 18 to i, which gives i = z + 75.\n6. Substitute z = 3 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 23443,
"question": "Suppose a collection of variables is related by the following definitions: l = z + 18; g = a + 2; i = q + 11; w = g + 10; p = c + 12; j = t + 20; h = z + 6; q = w + 16; c = h + 15; z = 3; t = u + 2; a = l + 18; u = p + 16. Given that z = 3, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 12", "q": "n + 1", "z": "q + 13", "r": "z + 8", "i": "r + 13", "v": "i + 11", "g": "t + 4", "b": "g + 10", "u": "b + 12", "m": "u + 3", "f": "m + 8", "o": "f + 6", "t": 12}, "premises": {"t": 12}, "target": "v"}, "answer": {"steps": [["i", "r + 13", "r + 24"], ["r", "z + 8", "z + 32"], ["z", "q + 13", "q + 45"], ["q", "n + 1", "n + 46"], ["n", "t + 12", "t + 58"], ["t", 12, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"t": 12}, "is_reverse": true}} | 23,444 | 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 + 10; q = n + 1; i = r + 13; f = m + 8; n = t + 12; t = 12; u = b + 12; m = u + 3; g = t + 4; o = f + 6; v = i + 11; r = z + 8; z = q + 13. If t = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 13 to v, which gives v = r + 24.\n2. Substitute r = z + 8 to v, which gives v = z + 32.\n3. Substitute z = q + 13 to v, which gives v = q + 45.\n4. Substitute q = n + 1 to v, which gives v = n + 46.\n5. Substitute n = t + 12 to v, which gives v = t + 58.\n6. Substitute t = 12 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 23444,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 10; q = n + 1; i = r + 13; f = m + 8; n = t + 12; t = 12; u = b + 12; m = u + 3; g = t + 4; o = f + 6; v = i + 11; r = z + 8; z = q + 13. If t = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 5", "p": "d + 17", "g": "p + 1", "j": "g + 10", "r": "j + 3", "k": "r + 1", "o": "s + 12", "n": "o + 19", "w": "n + 19", "l": "w + 14", "z": "l + 11", "i": "z + 17", "s": 20}, "premises": {"s": 20}, "target": "k"}, "answer": {"steps": [["r", "j + 3", "j + 4"], ["j", "g + 10", "g + 14"], ["g", "p + 1", "p + 15"], ["p", "d + 17", "d + 32"], ["d", "s + 5", "s + 37"], ["s", 20, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"s": 20}, "is_reverse": true}} | 23,445 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 17; k = r + 1; j = g + 10; w = n + 19; o = s + 12; l = w + 14; d = s + 5; i = z + 17; z = l + 11; s = 20; r = j + 3; n = o + 19; g = p + 1. If s = 20, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 3 to k, which gives k = j + 4.\n2. Substitute j = g + 10 to k, which gives k = g + 14.\n3. Substitute g = p + 1 to k, which gives k = p + 15.\n4. Substitute p = d + 17 to k, which gives k = d + 32.\n5. Substitute d = s + 5 to k, which gives k = s + 37.\n6. Substitute s = 20 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 23445,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 17; k = r + 1; j = g + 10; w = n + 19; o = s + 12; l = w + 14; d = s + 5; i = z + 17; z = l + 11; s = 20; r = j + 3; n = o + 19; g = p + 1. If s = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 16", "l": "o + 6", "a": "l + 4", "e": "a + 3", "b": "e + 7", "u": "b + 8", "x": "f + 6", "w": "x + 1", "i": "w + 12", "j": "i + 4", "h": "j + 14", "k": "h + 8", "f": 13}, "premises": {"f": 13}, "target": "u"}, "answer": {"steps": [["b", "e + 7", "e + 15"], ["e", "a + 3", "a + 18"], ["a", "l + 4", "l + 22"], ["l", "o + 6", "o + 28"], ["o", "f + 16", "f + 44"], ["f", 13, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"f": 13}, "is_reverse": true}} | 23,446 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 16; e = a + 3; x = f + 6; f = 13; u = b + 8; i = w + 12; j = i + 4; l = o + 6; a = l + 4; w = x + 1; b = e + 7; k = h + 8; h = j + 14. Given that f = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 7 to u, which gives u = e + 15.\n2. Substitute e = a + 3 to u, which gives u = a + 18.\n3. Substitute a = l + 4 to u, which gives u = l + 22.\n4. Substitute l = o + 6 to u, which gives u = o + 28.\n5. Substitute o = f + 16 to u, which gives u = f + 44.\n6. Substitute f = 13 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 23446,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 16; e = a + 3; x = f + 6; f = 13; u = b + 8; i = w + 12; j = i + 4; l = o + 6; a = l + 4; w = x + 1; b = e + 7; k = h + 8; h = j + 14. Given that f = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 18", "z": "v + 17", "q": "z + 5", "o": "q + 8", "b": "o + 7", "h": "b + 1", "x": "j + 8", "n": "x + 13", "s": "n + 17", "u": "s + 12", "r": "u + 9", "d": "r + 16", "j": 1}, "premises": {"j": 1}, "target": "h"}, "answer": {"steps": [["b", "o + 7", "o + 8"], ["o", "q + 8", "q + 16"], ["q", "z + 5", "z + 21"], ["z", "v + 17", "v + 38"], ["v", "j + 18", "j + 56"], ["j", 1, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"j": 1}, "is_reverse": true}} | 23,447 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 8; u = s + 12; h = b + 1; z = v + 17; q = z + 5; b = o + 7; n = x + 13; x = j + 8; s = n + 17; v = j + 18; j = 1; d = r + 16; r = u + 9. If j = 1, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 7 to h, which gives h = o + 8.\n2. Substitute o = q + 8 to h, which gives h = q + 16.\n3. Substitute q = z + 5 to h, which gives h = z + 21.\n4. Substitute z = v + 17 to h, which gives h = v + 38.\n5. Substitute v = j + 18 to h, which gives h = j + 56.\n6. Substitute j = 1 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 23447,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 8; u = s + 12; h = b + 1; z = v + 17; q = z + 5; b = o + 7; n = x + 13; x = j + 8; s = n + 17; v = j + 18; j = 1; d = r + 16; r = u + 9. If j = 1, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 10", "t": "k + 13", "x": "t + 20", "s": "x + 13", "y": "s + 16", "c": "y + 16", "l": "d + 1", "h": "l + 8", "m": "h + 19", "o": "m + 7", "u": "o + 2", "z": "u + 7", "d": 6}, "premises": {"d": 6}, "target": "c"}, "answer": {"steps": [["y", "s + 16", "s + 32"], ["s", "x + 13", "x + 45"], ["x", "t + 20", "t + 65"], ["t", "k + 13", "k + 78"], ["k", "d + 10", "d + 88"], ["d", 6, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"d": 6}, "is_reverse": true}} | 23,448 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = o + 2; z = u + 7; l = d + 1; o = m + 7; y = s + 16; k = d + 10; s = x + 13; c = y + 16; t = k + 13; d = 6; m = h + 19; h = l + 8; x = t + 20. Given that d = 6, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 16 to c, which gives c = s + 32.\n2. Substitute s = x + 13 to c, which gives c = x + 45.\n3. Substitute x = t + 20 to c, which gives c = t + 65.\n4. Substitute t = k + 13 to c, which gives c = k + 78.\n5. Substitute k = d + 10 to c, which gives c = d + 88.\n6. Substitute d = 6 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 23448,
"question": "Suppose a collection of variables is related by the following definitions: u = o + 2; z = u + 7; l = d + 1; o = m + 7; y = s + 16; k = d + 10; s = x + 13; c = y + 16; t = k + 13; d = 6; m = h + 19; h = l + 8; x = t + 20. Given that d = 6, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 9", "o": "k + 16", "m": "o + 10", "n": "m + 3", "j": "n + 9", "p": "j + 8", "d": "b + 16", "z": "d + 19", "a": "z + 18", "e": "a + 4", "u": "e + 16", "g": "u + 9", "b": 8}, "premises": {"b": 8}, "target": "p"}, "answer": {"steps": [["j", "n + 9", "n + 17"], ["n", "m + 3", "m + 20"], ["m", "o + 10", "o + 30"], ["o", "k + 16", "k + 46"], ["k", "b + 9", "b + 55"], ["b", 8, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"b": 8}, "is_reverse": true}} | 23,449 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 19; o = k + 16; j = n + 9; e = a + 4; u = e + 16; g = u + 9; m = o + 10; p = j + 8; n = m + 3; d = b + 16; a = z + 18; k = b + 9; b = 8. If b = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 9 to p, which gives p = n + 17.\n2. Substitute n = m + 3 to p, which gives p = m + 20.\n3. Substitute m = o + 10 to p, which gives p = o + 30.\n4. Substitute o = k + 16 to p, which gives p = k + 46.\n5. Substitute k = b + 9 to p, which gives p = b + 55.\n6. Substitute b = 8 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 23449,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 19; o = k + 16; j = n + 9; e = a + 4; u = e + 16; g = u + 9; m = o + 10; p = j + 8; n = m + 3; d = b + 16; a = z + 18; k = b + 9; b = 8. If b = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 15", "g": "q + 13", "h": "g + 18", "p": "h + 8", "l": "p + 14", "v": "l + 16", "n": "w + 18", "m": "n + 2", "u": "m + 2", "d": "u + 20", "c": "d + 6", "s": "c + 6", "w": 20}, "premises": {"w": 20}, "target": "v"}, "answer": {"steps": [["l", "p + 14", "p + 30"], ["p", "h + 8", "h + 38"], ["h", "g + 18", "g + 56"], ["g", "q + 13", "q + 69"], ["q", "w + 15", "w + 84"], ["w", 20, "104"]], "target_var_name": "v", "target_value": 104, "value_dict": {"w": 20}, "is_reverse": true}} | 23,450 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 18; v = l + 16; s = c + 6; p = h + 8; w = 20; g = q + 13; m = n + 2; h = g + 18; c = d + 6; q = w + 15; l = p + 14; d = u + 20; u = m + 2. Given that w = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 14 to v, which gives v = p + 30.\n2. Substitute p = h + 8 to v, which gives v = h + 38.\n3. Substitute h = g + 18 to v, which gives v = g + 56.\n4. Substitute g = q + 13 to v, which gives v = q + 69.\n5. Substitute q = w + 15 to v, which gives v = w + 84.\n6. Substitute w = 20 to v, which gives v = 104.\n\nThus, the final answer is v = \\boxed{104}.",
"index": 23450,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 18; v = l + 16; s = c + 6; p = h + 8; w = 20; g = q + 13; m = n + 2; h = g + 18; c = d + 6; q = w + 15; l = p + 14; d = u + 20; u = m + 2. Given that w = 20, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 14", "f": "p + 12", "w": "f + 4", "d": "w + 11", "o": "d + 10", "r": "o + 19", "t": "l + 18", "e": "t + 17", "h": "e + 9", "z": "h + 8", "u": "z + 18", "c": "u + 4", "l": 14}, "premises": {"l": 14}, "target": "r"}, "answer": {"steps": [["o", "d + 10", "d + 29"], ["d", "w + 11", "w + 40"], ["w", "f + 4", "f + 44"], ["f", "p + 12", "p + 56"], ["p", "l + 14", "l + 70"], ["l", 14, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"l": 14}, "is_reverse": true}} | 23,451 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 10; w = f + 4; e = t + 17; d = w + 11; h = e + 9; f = p + 12; l = 14; u = z + 18; p = l + 14; z = h + 8; t = l + 18; r = o + 19; c = u + 4. Given that l = 14, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 10 to r, which gives r = d + 29.\n2. Substitute d = w + 11 to r, which gives r = w + 40.\n3. Substitute w = f + 4 to r, which gives r = f + 44.\n4. Substitute f = p + 12 to r, which gives r = p + 56.\n5. Substitute p = l + 14 to r, which gives r = l + 70.\n6. Substitute l = 14 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 23451,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 10; w = f + 4; e = t + 17; d = w + 11; h = e + 9; f = p + 12; l = 14; u = z + 18; p = l + 14; z = h + 8; t = l + 18; r = o + 19; c = u + 4. Given that l = 14, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 11", "u": "b + 16", "a": "u + 11", "e": "a + 7", "c": "e + 6", "w": "c + 11", "j": "m + 14", "f": "j + 4", "g": "f + 3", "z": "g + 1", "y": "z + 18", "i": "y + 8", "m": 17}, "premises": {"m": 17}, "target": "w"}, "answer": {"steps": [["c", "e + 6", "e + 17"], ["e", "a + 7", "a + 24"], ["a", "u + 11", "u + 35"], ["u", "b + 16", "b + 51"], ["b", "m + 11", "m + 62"], ["m", 17, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"m": 17}, "is_reverse": true}} | 23,452 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 16; f = j + 4; w = c + 11; y = z + 18; z = g + 1; g = f + 3; c = e + 6; i = y + 8; j = m + 14; b = m + 11; a = u + 11; e = a + 7; m = 17. If m = 17, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 6 to w, which gives w = e + 17.\n2. Substitute e = a + 7 to w, which gives w = a + 24.\n3. Substitute a = u + 11 to w, which gives w = u + 35.\n4. Substitute u = b + 16 to w, which gives w = b + 51.\n5. Substitute b = m + 11 to w, which gives w = m + 62.\n6. Substitute m = 17 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 23452,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 16; f = j + 4; w = c + 11; y = z + 18; z = g + 1; g = f + 3; c = e + 6; i = y + 8; j = m + 14; b = m + 11; a = u + 11; e = a + 7; m = 17. If m = 17, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"r": "z + 3", "s": "r + 5", "j": "s + 5", "h": "j + 3", "l": "h + 15", "o": "l + 1", "v": "z + 8", "y": "v + 14", "p": "y + 3", "f": "p + 17", "q": "f + 18", "m": "q + 16", "z": 13}, "premises": {"z": 13}, "target": "o"}, "answer": {"steps": [["l", "h + 15", "h + 16"], ["h", "j + 3", "j + 19"], ["j", "s + 5", "s + 24"], ["s", "r + 5", "r + 29"], ["r", "z + 3", "z + 32"], ["z", 13, "45"]], "target_var_name": "o", "target_value": 45, "value_dict": {"z": 13}, "is_reverse": true}} | 23,453 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 5; q = f + 18; f = p + 17; h = j + 3; z = 13; o = l + 1; r = z + 3; p = y + 3; y = v + 14; m = q + 16; l = h + 15; v = z + 8; s = r + 5. If z = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 15 to o, which gives o = h + 16.\n2. Substitute h = j + 3 to o, which gives o = j + 19.\n3. Substitute j = s + 5 to o, which gives o = s + 24.\n4. Substitute s = r + 5 to o, which gives o = r + 29.\n5. Substitute r = z + 3 to o, which gives o = z + 32.\n6. Substitute z = 13 to o, which gives o = 45.\n\nThus, the final answer is o = \\boxed{45}.",
"index": 23453,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 5; q = f + 18; f = p + 17; h = j + 3; z = 13; o = l + 1; r = z + 3; p = y + 3; y = v + 14; m = q + 16; l = h + 15; v = z + 8; s = r + 5. If z = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"v": "d + 8", "a": "v + 10", "j": "a + 20", "q": "j + 12", "w": "q + 19", "l": "w + 19", "y": "d + 20", "r": "y + 6", "h": "r + 18", "n": "h + 7", "m": "n + 7", "c": "m + 20", "d": 19}, "premises": {"d": 19}, "target": "l"}, "answer": {"steps": [["w", "q + 19", "q + 38"], ["q", "j + 12", "j + 50"], ["j", "a + 20", "a + 70"], ["a", "v + 10", "v + 80"], ["v", "d + 8", "d + 88"], ["d", 19, "107"]], "target_var_name": "l", "target_value": 107, "value_dict": {"d": 19}, "is_reverse": true}} | 23,454 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 6; n = h + 7; l = w + 19; j = a + 20; y = d + 20; q = j + 12; v = d + 8; w = q + 19; h = r + 18; c = m + 20; a = v + 10; m = n + 7; d = 19. If d = 19, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 19 to l, which gives l = q + 38.\n2. Substitute q = j + 12 to l, which gives l = j + 50.\n3. Substitute j = a + 20 to l, which gives l = a + 70.\n4. Substitute a = v + 10 to l, which gives l = v + 80.\n5. Substitute v = d + 8 to l, which gives l = d + 88.\n6. Substitute d = 19 to l, which gives l = 107.\n\nThus, the final answer is l = \\boxed{107}.",
"index": 23454,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 6; n = h + 7; l = w + 19; j = a + 20; y = d + 20; q = j + 12; v = d + 8; w = q + 19; h = r + 18; c = m + 20; a = v + 10; m = n + 7; d = 19. If d = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 10", "w": "y + 7", "j": "w + 20", "v": "j + 11", "l": "v + 6", "q": "l + 8", "t": "b + 4", "h": "t + 5", "g": "h + 7", "e": "g + 8", "u": "e + 7", "x": "u + 9", "b": 18}, "premises": {"b": 18}, "target": "q"}, "answer": {"steps": [["l", "v + 6", "v + 14"], ["v", "j + 11", "j + 25"], ["j", "w + 20", "w + 45"], ["w", "y + 7", "y + 52"], ["y", "b + 10", "b + 62"], ["b", 18, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"b": 18}, "is_reverse": true}} | 23,455 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 10; b = 18; g = h + 7; x = u + 9; q = l + 8; t = b + 4; j = w + 20; v = j + 11; u = e + 7; l = v + 6; w = y + 7; h = t + 5; e = g + 8. If b = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 6 to q, which gives q = v + 14.\n2. Substitute v = j + 11 to q, which gives q = j + 25.\n3. Substitute j = w + 20 to q, which gives q = w + 45.\n4. Substitute w = y + 7 to q, which gives q = y + 52.\n5. Substitute y = b + 10 to q, which gives q = b + 62.\n6. Substitute b = 18 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 23455,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 10; b = 18; g = h + 7; x = u + 9; q = l + 8; t = b + 4; j = w + 20; v = j + 11; u = e + 7; l = v + 6; w = y + 7; h = t + 5; e = g + 8. If b = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 14", "m": "p + 10", "q": "m + 17", "n": "q + 17", "i": "n + 12", "k": "i + 4", "f": "c + 4", "b": "f + 12", "o": "b + 20", "j": "o + 1", "v": "j + 5", "r": "v + 15", "c": 1}, "premises": {"c": 1}, "target": "k"}, "answer": {"steps": [["i", "n + 12", "n + 16"], ["n", "q + 17", "q + 33"], ["q", "m + 17", "m + 50"], ["m", "p + 10", "p + 60"], ["p", "c + 14", "c + 74"], ["c", 1, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"c": 1}, "is_reverse": true}} | 23,456 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 20; j = o + 1; v = j + 5; b = f + 12; k = i + 4; p = c + 14; f = c + 4; q = m + 17; i = n + 12; r = v + 15; n = q + 17; m = p + 10; c = 1. If c = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 12 to k, which gives k = n + 16.\n2. Substitute n = q + 17 to k, which gives k = q + 33.\n3. Substitute q = m + 17 to k, which gives k = m + 50.\n4. Substitute m = p + 10 to k, which gives k = p + 60.\n5. Substitute p = c + 14 to k, which gives k = c + 74.\n6. Substitute c = 1 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 23456,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 20; j = o + 1; v = j + 5; b = f + 12; k = i + 4; p = c + 14; f = c + 4; q = m + 17; i = n + 12; r = v + 15; n = q + 17; m = p + 10; c = 1. If c = 1, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 15", "j": "g + 18", "d": "j + 20", "r": "d + 4", "e": "r + 9", "a": "e + 12", "u": "c + 13", "i": "u + 3", "v": "i + 12", "q": "v + 5", "p": "q + 11", "m": "p + 15", "c": 1}, "premises": {"c": 1}, "target": "a"}, "answer": {"steps": [["e", "r + 9", "r + 21"], ["r", "d + 4", "d + 25"], ["d", "j + 20", "j + 45"], ["j", "g + 18", "g + 63"], ["g", "c + 15", "c + 78"], ["c", 1, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"c": 1}, "is_reverse": true}} | 23,457 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = r + 9; r = d + 4; d = j + 20; u = c + 13; m = p + 15; q = v + 5; v = i + 12; g = c + 15; c = 1; p = q + 11; a = e + 12; j = g + 18; i = u + 3. Given that c = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 9 to a, which gives a = r + 21.\n2. Substitute r = d + 4 to a, which gives a = d + 25.\n3. Substitute d = j + 20 to a, which gives a = j + 45.\n4. Substitute j = g + 18 to a, which gives a = g + 63.\n5. Substitute g = c + 15 to a, which gives a = c + 78.\n6. Substitute c = 1 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 23457,
"question": "Suppose a collection of variables is related by the following definitions: e = r + 9; r = d + 4; d = j + 20; u = c + 13; m = p + 15; q = v + 5; v = i + 12; g = c + 15; c = 1; p = q + 11; a = e + 12; j = g + 18; i = u + 3. Given that c = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 10", "t": "v + 19", "m": "t + 9", "u": "m + 12", "p": "u + 16", "y": "p + 13", "n": "f + 1", "c": "n + 19", "l": "c + 20", "j": "l + 7", "s": "j + 18", "o": "s + 15", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["p", "u + 16", "u + 29"], ["u", "m + 12", "m + 41"], ["m", "t + 9", "t + 50"], ["t", "v + 19", "v + 69"], ["v", "f + 10", "f + 79"], ["f", 7, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"f": 7}, "is_reverse": true}} | 23,458 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 19; j = l + 7; u = m + 12; m = t + 9; s = j + 18; o = s + 15; f = 7; y = p + 13; l = c + 20; v = f + 10; c = n + 19; n = f + 1; p = u + 16. If f = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 16 to y, which gives y = u + 29.\n2. Substitute u = m + 12 to y, which gives y = m + 41.\n3. Substitute m = t + 9 to y, which gives y = t + 50.\n4. Substitute t = v + 19 to y, which gives y = v + 69.\n5. Substitute v = f + 10 to y, which gives y = f + 79.\n6. Substitute f = 7 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 23458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 19; j = l + 7; u = m + 12; m = t + 9; s = j + 18; o = s + 15; f = 7; y = p + 13; l = c + 20; v = f + 10; c = n + 19; n = f + 1; p = u + 16. If f = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 7", "m": "x + 6", "g": "m + 16", "f": "g + 7", "e": "f + 19", "j": "e + 8", "r": "y + 10", "l": "r + 12", "k": "l + 18", "q": "k + 17", "h": "q + 1", "a": "h + 6", "y": 7}, "premises": {"y": 7}, "target": "j"}, "answer": {"steps": [["e", "f + 19", "f + 27"], ["f", "g + 7", "g + 34"], ["g", "m + 16", "m + 50"], ["m", "x + 6", "x + 56"], ["x", "y + 7", "y + 63"], ["y", 7, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"y": 7}, "is_reverse": true}} | 23,459 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 10; f = g + 7; e = f + 19; k = l + 18; m = x + 6; a = h + 6; y = 7; l = r + 12; h = q + 1; j = e + 8; g = m + 16; q = k + 17; x = y + 7. If y = 7, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 19 to j, which gives j = f + 27.\n2. Substitute f = g + 7 to j, which gives j = g + 34.\n3. Substitute g = m + 16 to j, which gives j = m + 50.\n4. Substitute m = x + 6 to j, which gives j = x + 56.\n5. Substitute x = y + 7 to j, which gives j = y + 63.\n6. Substitute y = 7 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 23459,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 10; f = g + 7; e = f + 19; k = l + 18; m = x + 6; a = h + 6; y = 7; l = r + 12; h = q + 1; j = e + 8; g = m + 16; q = k + 17; x = y + 7. If y = 7, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 14", "u": "t + 17", "m": "u + 15", "p": "m + 7", "f": "p + 13", "g": "f + 12", "o": "n + 8", "c": "o + 6", "l": "c + 7", "y": "l + 13", "h": "y + 1", "i": "h + 10", "n": 20}, "premises": {"n": 20}, "target": "g"}, "answer": {"steps": [["f", "p + 13", "p + 25"], ["p", "m + 7", "m + 32"], ["m", "u + 15", "u + 47"], ["u", "t + 17", "t + 64"], ["t", "n + 14", "n + 78"], ["n", 20, "98"]], "target_var_name": "g", "target_value": 98, "value_dict": {"n": 20}, "is_reverse": true}} | 23,460 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 13; t = n + 14; c = o + 6; i = h + 10; f = p + 13; u = t + 17; n = 20; g = f + 12; o = n + 8; p = m + 7; l = c + 7; m = u + 15; h = y + 1. Given that n = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 13 to g, which gives g = p + 25.\n2. Substitute p = m + 7 to g, which gives g = m + 32.\n3. Substitute m = u + 15 to g, which gives g = u + 47.\n4. Substitute u = t + 17 to g, which gives g = t + 64.\n5. Substitute t = n + 14 to g, which gives g = n + 78.\n6. Substitute n = 20 to g, which gives g = 98.\n\nThus, the final answer is g = \\boxed{98}.",
"index": 23460,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 13; t = n + 14; c = o + 6; i = h + 10; f = p + 13; u = t + 17; n = 20; g = f + 12; o = n + 8; p = m + 7; l = c + 7; m = u + 15; h = y + 1. Given that n = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 7", "w": "y + 18", "t": "w + 12", "r": "t + 13", "l": "r + 4", "a": "l + 7", "e": "n + 15", "k": "e + 7", "v": "k + 7", "g": "v + 7", "h": "g + 5", "m": "h + 15", "n": 1}, "premises": {"n": 1}, "target": "a"}, "answer": {"steps": [["l", "r + 4", "r + 11"], ["r", "t + 13", "t + 24"], ["t", "w + 12", "w + 36"], ["w", "y + 18", "y + 54"], ["y", "n + 7", "n + 61"], ["n", 1, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"n": 1}, "is_reverse": true}} | 23,461 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = w + 12; w = y + 18; v = k + 7; e = n + 15; n = 1; k = e + 7; y = n + 7; g = v + 7; l = r + 4; r = t + 13; m = h + 15; a = l + 7; h = g + 5. Given that n = 1, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = r + 4 to a, which gives a = r + 11.\n2. Substitute r = t + 13 to a, which gives a = t + 24.\n3. Substitute t = w + 12 to a, which gives a = w + 36.\n4. Substitute w = y + 18 to a, which gives a = y + 54.\n5. Substitute y = n + 7 to a, which gives a = n + 61.\n6. Substitute n = 1 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 23461,
"question": "Suppose a collection of variables is related by the following definitions: t = w + 12; w = y + 18; v = k + 7; e = n + 15; n = 1; k = e + 7; y = n + 7; g = v + 7; l = r + 4; r = t + 13; m = h + 15; a = l + 7; h = g + 5. Given that n = 1, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 1", "s": "t + 20", "z": "s + 20", "y": "z + 13", "e": "y + 19", "r": "e + 1", "h": "n + 20", "a": "h + 9", "q": "a + 12", "p": "q + 6", "b": "p + 17", "v": "b + 6", "n": 10}, "premises": {"n": 10}, "target": "r"}, "answer": {"steps": [["e", "y + 19", "y + 20"], ["y", "z + 13", "z + 33"], ["z", "s + 20", "s + 53"], ["s", "t + 20", "t + 73"], ["t", "n + 1", "n + 74"], ["n", 10, "84"]], "target_var_name": "r", "target_value": 84, "value_dict": {"n": 10}, "is_reverse": true}} | 23,462 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 17; h = n + 20; a = h + 9; v = b + 6; q = a + 12; n = 10; e = y + 19; r = e + 1; p = q + 6; t = n + 1; z = s + 20; s = t + 20; y = z + 13. If n = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 19 to r, which gives r = y + 20.\n2. Substitute y = z + 13 to r, which gives r = z + 33.\n3. Substitute z = s + 20 to r, which gives r = s + 53.\n4. Substitute s = t + 20 to r, which gives r = t + 73.\n5. Substitute t = n + 1 to r, which gives r = n + 74.\n6. Substitute n = 10 to r, which gives r = 84.\n\nThus, the final answer is r = \\boxed{84}.",
"index": 23462,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 17; h = n + 20; a = h + 9; v = b + 6; q = a + 12; n = 10; e = y + 19; r = e + 1; p = q + 6; t = n + 1; z = s + 20; s = t + 20; y = z + 13. If n = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 4", "d": "a + 18", "q": "d + 12", "t": "q + 4", "m": "t + 6", "b": "m + 14", "x": "r + 10", "g": "x + 20", "z": "g + 19", "u": "z + 1", "c": "u + 3", "i": "c + 5", "r": 17}, "premises": {"r": 17}, "target": "b"}, "answer": {"steps": [["m", "t + 6", "t + 20"], ["t", "q + 4", "q + 24"], ["q", "d + 12", "d + 36"], ["d", "a + 18", "a + 54"], ["a", "r + 4", "r + 58"], ["r", 17, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"r": 17}, "is_reverse": true}} | 23,463 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = u + 3; g = x + 20; d = a + 18; i = c + 5; b = m + 14; r = 17; t = q + 4; x = r + 10; m = t + 6; q = d + 12; a = r + 4; z = g + 19; u = z + 1. If r = 17, 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 = t + 6 to b, which gives b = t + 20.\n2. Substitute t = q + 4 to b, which gives b = q + 24.\n3. Substitute q = d + 12 to b, which gives b = d + 36.\n4. Substitute d = a + 18 to b, which gives b = a + 54.\n5. Substitute a = r + 4 to b, which gives b = r + 58.\n6. Substitute r = 17 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 23463,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 3; g = x + 20; d = a + 18; i = c + 5; b = m + 14; r = 17; t = q + 4; x = r + 10; m = t + 6; q = d + 12; a = r + 4; z = g + 19; u = z + 1. If r = 17, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 12", "c": "w + 5", "d": "c + 20", "j": "d + 20", "u": "j + 8", "v": "u + 8", "k": "q + 9", "l": "k + 4", "e": "l + 12", "n": "e + 17", "y": "n + 10", "p": "y + 20", "q": 20}, "premises": {"q": 20}, "target": "v"}, "answer": {"steps": [["u", "j + 8", "j + 16"], ["j", "d + 20", "d + 36"], ["d", "c + 20", "c + 56"], ["c", "w + 5", "w + 61"], ["w", "q + 12", "q + 73"], ["q", 20, "93"]], "target_var_name": "v", "target_value": 93, "value_dict": {"q": 20}, "is_reverse": true}} | 23,464 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 9; j = d + 20; l = k + 4; q = 20; u = j + 8; c = w + 5; v = u + 8; n = e + 17; d = c + 20; e = l + 12; w = q + 12; y = n + 10; p = y + 20. If q = 20, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 8 to v, which gives v = j + 16.\n2. Substitute j = d + 20 to v, which gives v = d + 36.\n3. Substitute d = c + 20 to v, which gives v = c + 56.\n4. Substitute c = w + 5 to v, which gives v = w + 61.\n5. Substitute w = q + 12 to v, which gives v = q + 73.\n6. Substitute q = 20 to v, which gives v = 93.\n\nThus, the final answer is v = \\boxed{93}.",
"index": 23464,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 9; j = d + 20; l = k + 4; q = 20; u = j + 8; c = w + 5; v = u + 8; n = e + 17; d = c + 20; e = l + 12; w = q + 12; y = n + 10; p = y + 20. If q = 20, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 12", "e": "h + 7", "m": "e + 13", "l": "m + 3", "i": "l + 2", "p": "i + 11", "f": "b + 4", "c": "f + 4", "s": "c + 4", "a": "s + 20", "u": "a + 1", "z": "u + 19", "b": 10}, "premises": {"b": 10}, "target": "p"}, "answer": {"steps": [["i", "l + 2", "l + 13"], ["l", "m + 3", "m + 16"], ["m", "e + 13", "e + 29"], ["e", "h + 7", "h + 36"], ["h", "b + 12", "b + 48"], ["b", 10, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"b": 10}, "is_reverse": true}} | 23,465 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 19; h = b + 12; m = e + 13; c = f + 4; p = i + 11; a = s + 20; u = a + 1; i = l + 2; b = 10; s = c + 4; f = b + 4; l = m + 3; e = h + 7. If b = 10, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 2 to p, which gives p = l + 13.\n2. Substitute l = m + 3 to p, which gives p = m + 16.\n3. Substitute m = e + 13 to p, which gives p = e + 29.\n4. Substitute e = h + 7 to p, which gives p = h + 36.\n5. Substitute h = b + 12 to p, which gives p = b + 48.\n6. Substitute b = 10 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 23465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 19; h = b + 12; m = e + 13; c = f + 4; p = i + 11; a = s + 20; u = a + 1; i = l + 2; b = 10; s = c + 4; f = b + 4; l = m + 3; e = h + 7. If b = 10, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 20", "n": "h + 20", "y": "n + 11", "e": "y + 15", "o": "e + 12", "m": "o + 10", "d": "q + 7", "s": "d + 7", "x": "s + 1", "i": "x + 20", "g": "i + 10", "r": "g + 5", "q": 10}, "premises": {"q": 10}, "target": "m"}, "answer": {"steps": [["o", "e + 12", "e + 22"], ["e", "y + 15", "y + 37"], ["y", "n + 11", "n + 48"], ["n", "h + 20", "h + 68"], ["h", "q + 20", "q + 88"], ["q", 10, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"q": 10}, "is_reverse": true}} | 23,466 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 7; g = i + 10; r = g + 5; i = x + 20; m = o + 10; q = 10; o = e + 12; e = y + 15; d = q + 7; h = q + 20; n = h + 20; y = n + 11; x = s + 1. If q = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 12 to m, which gives m = e + 22.\n2. Substitute e = y + 15 to m, which gives m = y + 37.\n3. Substitute y = n + 11 to m, which gives m = n + 48.\n4. Substitute n = h + 20 to m, which gives m = h + 68.\n5. Substitute h = q + 20 to m, which gives m = q + 88.\n6. Substitute q = 10 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 23466,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 7; g = i + 10; r = g + 5; i = x + 20; m = o + 10; q = 10; o = e + 12; e = y + 15; d = q + 7; h = q + 20; n = h + 20; y = n + 11; x = s + 1. If q = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 9", "k": "u + 13", "f": "k + 20", "d": "f + 6", "l": "d + 20", "h": "l + 1", "a": "g + 8", "v": "a + 3", "j": "v + 10", "b": "j + 18", "o": "b + 18", "c": "o + 15", "g": 14}, "premises": {"g": 14}, "target": "h"}, "answer": {"steps": [["l", "d + 20", "d + 21"], ["d", "f + 6", "f + 27"], ["f", "k + 20", "k + 47"], ["k", "u + 13", "u + 60"], ["u", "g + 9", "g + 69"], ["g", 14, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"g": 14}, "is_reverse": true}} | 23,467 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 20; h = l + 1; l = d + 20; d = f + 6; c = o + 15; k = u + 13; u = g + 9; v = a + 3; j = v + 10; a = g + 8; g = 14; b = j + 18; o = b + 18. Given that g = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 20 to h, which gives h = d + 21.\n2. Substitute d = f + 6 to h, which gives h = f + 27.\n3. Substitute f = k + 20 to h, which gives h = k + 47.\n4. Substitute k = u + 13 to h, which gives h = u + 60.\n5. Substitute u = g + 9 to h, which gives h = g + 69.\n6. Substitute g = 14 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 23467,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 20; h = l + 1; l = d + 20; d = f + 6; c = o + 15; k = u + 13; u = g + 9; v = a + 3; j = v + 10; a = g + 8; g = 14; b = j + 18; o = b + 18. Given that g = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 20", "k": "o + 9", "d": "k + 7", "n": "d + 3", "q": "n + 15", "f": "q + 19", "b": "l + 5", "h": "b + 3", "j": "h + 18", "t": "j + 1", "z": "t + 2", "c": "z + 8", "l": 6}, "premises": {"l": 6}, "target": "f"}, "answer": {"steps": [["q", "n + 15", "n + 34"], ["n", "d + 3", "d + 37"], ["d", "k + 7", "k + 44"], ["k", "o + 9", "o + 53"], ["o", "l + 20", "l + 73"], ["l", 6, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"l": 6}, "is_reverse": true}} | 23,468 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 8; l = 6; z = t + 2; t = j + 1; k = o + 9; h = b + 3; d = k + 7; f = q + 19; j = h + 18; b = l + 5; n = d + 3; q = n + 15; o = l + 20. If l = 6, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 15 to f, which gives f = n + 34.\n2. Substitute n = d + 3 to f, which gives f = d + 37.\n3. Substitute d = k + 7 to f, which gives f = k + 44.\n4. Substitute k = o + 9 to f, which gives f = o + 53.\n5. Substitute o = l + 20 to f, which gives f = l + 73.\n6. Substitute l = 6 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 23468,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 8; l = 6; z = t + 2; t = j + 1; k = o + 9; h = b + 3; d = k + 7; f = q + 19; j = h + 18; b = l + 5; n = d + 3; q = n + 15; o = l + 20. If l = 6, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 18", "n": "r + 11", "f": "n + 5", "g": "f + 15", "z": "g + 9", "h": "z + 10", "p": "m + 11", "x": "p + 4", "c": "x + 20", "q": "c + 5", "e": "q + 4", "v": "e + 12", "m": 6}, "premises": {"m": 6}, "target": "h"}, "answer": {"steps": [["z", "g + 9", "g + 19"], ["g", "f + 15", "f + 34"], ["f", "n + 5", "n + 39"], ["n", "r + 11", "r + 50"], ["r", "m + 18", "m + 68"], ["m", 6, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"m": 6}, "is_reverse": true}} | 23,469 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 6; r = m + 18; f = n + 5; g = f + 15; x = p + 4; c = x + 20; n = r + 11; e = q + 4; p = m + 11; v = e + 12; q = c + 5; h = z + 10; z = g + 9. Given that m = 6, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 9 to h, which gives h = g + 19.\n2. Substitute g = f + 15 to h, which gives h = f + 34.\n3. Substitute f = n + 5 to h, which gives h = n + 39.\n4. Substitute n = r + 11 to h, which gives h = r + 50.\n5. Substitute r = m + 18 to h, which gives h = m + 68.\n6. Substitute m = 6 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 23469,
"question": "Suppose a collection of variables is related by the following definitions: m = 6; r = m + 18; f = n + 5; g = f + 15; x = p + 4; c = x + 20; n = r + 11; e = q + 4; p = m + 11; v = e + 12; q = c + 5; h = z + 10; z = g + 9. Given that m = 6, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 3", "j": "z + 18", "r": "j + 5", "e": "r + 8", "n": "e + 11", "v": "n + 7", "w": "d + 6", "y": "w + 18", "c": "y + 19", "f": "c + 3", "t": "f + 20", "b": "t + 7", "d": 14}, "premises": {"d": 14}, "target": "v"}, "answer": {"steps": [["n", "e + 11", "e + 18"], ["e", "r + 8", "r + 26"], ["r", "j + 5", "j + 31"], ["j", "z + 18", "z + 49"], ["z", "d + 3", "d + 52"], ["d", 14, "66"]], "target_var_name": "v", "target_value": 66, "value_dict": {"d": 14}, "is_reverse": true}} | 23,470 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 3; r = j + 5; v = n + 7; y = w + 18; j = z + 18; b = t + 7; w = d + 6; d = 14; c = y + 19; n = e + 11; t = f + 20; e = r + 8; z = d + 3. Given that d = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 11 to v, which gives v = e + 18.\n2. Substitute e = r + 8 to v, which gives v = r + 26.\n3. Substitute r = j + 5 to v, which gives v = j + 31.\n4. Substitute j = z + 18 to v, which gives v = z + 49.\n5. Substitute z = d + 3 to v, which gives v = d + 52.\n6. Substitute d = 14 to v, which gives v = 66.\n\nThus, the final answer is v = \\boxed{66}.",
"index": 23470,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 3; r = j + 5; v = n + 7; y = w + 18; j = z + 18; b = t + 7; w = d + 6; d = 14; c = y + 19; n = e + 11; t = f + 20; e = r + 8; z = d + 3. Given that d = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 2", "r": "g + 13", "p": "r + 10", "q": "p + 8", "i": "q + 13", "x": "i + 15", "w": "v + 1", "m": "w + 3", "j": "m + 5", "o": "j + 16", "z": "o + 15", "t": "z + 15", "v": 16}, "premises": {"v": 16}, "target": "x"}, "answer": {"steps": [["i", "q + 13", "q + 28"], ["q", "p + 8", "p + 36"], ["p", "r + 10", "r + 46"], ["r", "g + 13", "g + 59"], ["g", "v + 2", "v + 61"], ["v", 16, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"v": 16}, "is_reverse": true}} | 23,471 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 5; r = g + 13; g = v + 2; x = i + 15; q = p + 8; i = q + 13; o = j + 16; p = r + 10; v = 16; z = o + 15; w = v + 1; m = w + 3; t = z + 15. If v = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 13 to x, which gives x = q + 28.\n2. Substitute q = p + 8 to x, which gives x = p + 36.\n3. Substitute p = r + 10 to x, which gives x = r + 46.\n4. Substitute r = g + 13 to x, which gives x = g + 59.\n5. Substitute g = v + 2 to x, which gives x = v + 61.\n6. Substitute v = 16 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 23471,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 5; r = g + 13; g = v + 2; x = i + 15; q = p + 8; i = q + 13; o = j + 16; p = r + 10; v = 16; z = o + 15; w = v + 1; m = w + 3; t = z + 15. If v = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 11", "z": "s + 15", "c": "z + 17", "n": "c + 7", "q": "n + 10", "f": "q + 9", "w": "p + 11", "d": "w + 10", "g": "d + 14", "b": "g + 1", "r": "b + 15", "h": "r + 4", "p": 6}, "premises": {"p": 6}, "target": "f"}, "answer": {"steps": [["q", "n + 10", "n + 19"], ["n", "c + 7", "c + 26"], ["c", "z + 17", "z + 43"], ["z", "s + 15", "s + 58"], ["s", "p + 11", "p + 69"], ["p", 6, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"p": 6}, "is_reverse": true}} | 23,472 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 9; c = z + 17; d = w + 10; g = d + 14; z = s + 15; h = r + 4; r = b + 15; s = p + 11; b = g + 1; p = 6; w = p + 11; n = c + 7; q = n + 10. Given that p = 6, find the 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 q = n + 10 to f, which gives f = n + 19.\n2. Substitute n = c + 7 to f, which gives f = c + 26.\n3. Substitute c = z + 17 to f, which gives f = z + 43.\n4. Substitute z = s + 15 to f, which gives f = s + 58.\n5. Substitute s = p + 11 to f, which gives f = p + 69.\n6. Substitute p = 6 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 23472,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 9; c = z + 17; d = w + 10; g = d + 14; z = s + 15; h = r + 4; r = b + 15; s = p + 11; b = g + 1; p = 6; w = p + 11; n = c + 7; q = n + 10. Given that p = 6, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 20", "x": "b + 18", "w": "x + 18", "s": "w + 2", "o": "s + 15", "m": "o + 15", "i": "l + 6", "f": "i + 17", "z": "f + 7", "u": "z + 8", "h": "u + 19", "t": "h + 5", "l": 4}, "premises": {"l": 4}, "target": "m"}, "answer": {"steps": [["o", "s + 15", "s + 30"], ["s", "w + 2", "w + 32"], ["w", "x + 18", "x + 50"], ["x", "b + 18", "b + 68"], ["b", "l + 20", "l + 88"], ["l", 4, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"l": 4}, "is_reverse": true}} | 23,473 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 20; i = l + 6; o = s + 15; u = z + 8; m = o + 15; f = i + 17; z = f + 7; s = w + 2; t = h + 5; l = 4; x = b + 18; w = x + 18; h = u + 19. Given that l = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 15 to m, which gives m = s + 30.\n2. Substitute s = w + 2 to m, which gives m = w + 32.\n3. Substitute w = x + 18 to m, which gives m = x + 50.\n4. Substitute x = b + 18 to m, which gives m = b + 68.\n5. Substitute b = l + 20 to m, which gives m = l + 88.\n6. Substitute l = 4 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 23473,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 20; i = l + 6; o = s + 15; u = z + 8; m = o + 15; f = i + 17; z = f + 7; s = w + 2; t = h + 5; l = 4; x = b + 18; w = x + 18; h = u + 19. Given that l = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 13", "n": "w + 2", "t": "n + 11", "c": "t + 17", "i": "c + 11", "q": "i + 6", "r": "k + 8", "u": "r + 14", "h": "u + 15", "s": "h + 7", "a": "s + 8", "d": "a + 3", "k": 6}, "premises": {"k": 6}, "target": "q"}, "answer": {"steps": [["i", "c + 11", "c + 17"], ["c", "t + 17", "t + 34"], ["t", "n + 11", "n + 45"], ["n", "w + 2", "w + 47"], ["w", "k + 13", "k + 60"], ["k", 6, "66"]], "target_var_name": "q", "target_value": 66, "value_dict": {"k": 6}, "is_reverse": true}} | 23,474 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = r + 14; r = k + 8; c = t + 17; n = w + 2; k = 6; i = c + 11; q = i + 6; h = u + 15; a = s + 8; d = a + 3; s = h + 7; w = k + 13; t = n + 11. If k = 6, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 11 to q, which gives q = c + 17.\n2. Substitute c = t + 17 to q, which gives q = t + 34.\n3. Substitute t = n + 11 to q, which gives q = n + 45.\n4. Substitute n = w + 2 to q, which gives q = w + 47.\n5. Substitute w = k + 13 to q, which gives q = k + 60.\n6. Substitute k = 6 to q, which gives q = 66.\n\nThus, the final answer is q = \\boxed{66}.",
"index": 23474,
"question": "Consider a system of variables where each variable is defined as follows: u = r + 14; r = k + 8; c = t + 17; n = w + 2; k = 6; i = c + 11; q = i + 6; h = u + 15; a = s + 8; d = a + 3; s = h + 7; w = k + 13; t = n + 11. If k = 6, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 6", "q": "j + 13", "n": "q + 8", "p": "n + 13", "o": "p + 10", "z": "o + 8", "g": "f + 18", "u": "g + 20", "y": "u + 4", "v": "y + 3", "e": "v + 9", "l": "e + 5", "f": 12}, "premises": {"f": 12}, "target": "z"}, "answer": {"steps": [["o", "p + 10", "p + 18"], ["p", "n + 13", "n + 31"], ["n", "q + 8", "q + 39"], ["q", "j + 13", "j + 52"], ["j", "f + 6", "f + 58"], ["f", 12, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"f": 12}, "is_reverse": true}} | 23,475 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 6; g = f + 18; e = v + 9; v = y + 3; y = u + 4; p = n + 13; q = j + 13; z = o + 8; n = q + 8; o = p + 10; u = g + 20; l = e + 5; f = 12. Given that f = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 10 to z, which gives z = p + 18.\n2. Substitute p = n + 13 to z, which gives z = n + 31.\n3. Substitute n = q + 8 to z, which gives z = q + 39.\n4. Substitute q = j + 13 to z, which gives z = j + 52.\n5. Substitute j = f + 6 to z, which gives z = f + 58.\n6. Substitute f = 12 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 23475,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 6; g = f + 18; e = v + 9; v = y + 3; y = u + 4; p = n + 13; q = j + 13; z = o + 8; n = q + 8; o = p + 10; u = g + 20; l = e + 5; f = 12. Given that f = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 13", "n": "z + 10", "l": "n + 17", "k": "l + 6", "x": "k + 17", "e": "x + 20", "i": "v + 17", "h": "i + 6", "g": "h + 4", "a": "g + 5", "j": "a + 7", "f": "j + 5", "v": 11}, "premises": {"v": 11}, "target": "e"}, "answer": {"steps": [["x", "k + 17", "k + 37"], ["k", "l + 6", "l + 43"], ["l", "n + 17", "n + 60"], ["n", "z + 10", "z + 70"], ["z", "v + 13", "v + 83"], ["v", 11, "94"]], "target_var_name": "e", "target_value": 94, "value_dict": {"v": 11}, "is_reverse": true}} | 23,476 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 11; i = v + 17; f = j + 5; n = z + 10; x = k + 17; e = x + 20; g = h + 4; j = a + 7; k = l + 6; l = n + 17; h = i + 6; a = g + 5; z = v + 13. Given that v = 11, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = k + 17 to e, which gives e = k + 37.\n2. Substitute k = l + 6 to e, which gives e = l + 43.\n3. Substitute l = n + 17 to e, which gives e = n + 60.\n4. Substitute n = z + 10 to e, which gives e = z + 70.\n5. Substitute z = v + 13 to e, which gives e = v + 83.\n6. Substitute v = 11 to e, which gives e = 94.\n\nThus, the final answer is e = \\boxed{94}.",
"index": 23476,
"question": "Suppose a collection of variables is related by the following definitions: v = 11; i = v + 17; f = j + 5; n = z + 10; x = k + 17; e = x + 20; g = h + 4; j = a + 7; k = l + 6; l = n + 17; h = i + 6; a = g + 5; z = v + 13. Given that v = 11, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 6", "u": "t + 20", "n": "u + 16", "j": "n + 14", "s": "j + 16", "o": "s + 10", "r": "g + 9", "c": "r + 2", "i": "c + 1", "q": "i + 10", "f": "q + 6", "v": "f + 14", "g": 9}, "premises": {"g": 9}, "target": "o"}, "answer": {"steps": [["s", "j + 16", "j + 26"], ["j", "n + 14", "n + 40"], ["n", "u + 16", "u + 56"], ["u", "t + 20", "t + 76"], ["t", "g + 6", "g + 82"], ["g", 9, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"g": 9}, "is_reverse": true}} | 23,477 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 2; i = c + 1; j = n + 14; s = j + 16; f = q + 6; r = g + 9; n = u + 16; v = f + 14; t = g + 6; u = t + 20; g = 9; q = i + 10; o = s + 10. Given that g = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 16 to o, which gives o = j + 26.\n2. Substitute j = n + 14 to o, which gives o = n + 40.\n3. Substitute n = u + 16 to o, which gives o = u + 56.\n4. Substitute u = t + 20 to o, which gives o = t + 76.\n5. Substitute t = g + 6 to o, which gives o = g + 82.\n6. Substitute g = 9 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 23477,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 2; i = c + 1; j = n + 14; s = j + 16; f = q + 6; r = g + 9; n = u + 16; v = f + 14; t = g + 6; u = t + 20; g = 9; q = i + 10; o = s + 10. Given that g = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 12", "h": "d + 16", "e": "h + 19", "r": "e + 2", "g": "r + 4", "j": "g + 1", "q": "b + 16", "f": "q + 15", "i": "f + 13", "k": "i + 3", "t": "k + 11", "v": "t + 9", "b": 6}, "premises": {"b": 6}, "target": "j"}, "answer": {"steps": [["g", "r + 4", "r + 5"], ["r", "e + 2", "e + 7"], ["e", "h + 19", "h + 26"], ["h", "d + 16", "d + 42"], ["d", "b + 12", "b + 54"], ["b", 6, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"b": 6}, "is_reverse": true}} | 23,478 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = e + 2; q = b + 16; d = b + 12; g = r + 4; i = f + 13; b = 6; v = t + 9; j = g + 1; t = k + 11; f = q + 15; k = i + 3; e = h + 19; h = d + 16. Given that b = 6, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 4 to j, which gives j = r + 5.\n2. Substitute r = e + 2 to j, which gives j = e + 7.\n3. Substitute e = h + 19 to j, which gives j = h + 26.\n4. Substitute h = d + 16 to j, which gives j = d + 42.\n5. Substitute d = b + 12 to j, which gives j = b + 54.\n6. Substitute b = 6 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 23478,
"question": "Suppose a collection of variables is related by the following definitions: r = e + 2; q = b + 16; d = b + 12; g = r + 4; i = f + 13; b = 6; v = t + 9; j = g + 1; t = k + 11; f = q + 15; k = i + 3; e = h + 19; h = d + 16. Given that b = 6, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 2", "b": "g + 19", "c": "b + 13", "q": "c + 3", "o": "q + 18", "e": "o + 3", "i": "v + 13", "n": "i + 11", "p": "n + 13", "h": "p + 3", "w": "h + 20", "z": "w + 11", "v": 15}, "premises": {"v": 15}, "target": "e"}, "answer": {"steps": [["o", "q + 18", "q + 21"], ["q", "c + 3", "c + 24"], ["c", "b + 13", "b + 37"], ["b", "g + 19", "g + 56"], ["g", "v + 2", "v + 58"], ["v", 15, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"v": 15}, "is_reverse": true}} | 23,479 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 13; e = o + 3; q = c + 3; n = i + 11; i = v + 13; p = n + 13; b = g + 19; v = 15; o = q + 18; h = p + 3; w = h + 20; g = v + 2; z = w + 11. If v = 15, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 18 to e, which gives e = q + 21.\n2. Substitute q = c + 3 to e, which gives e = c + 24.\n3. Substitute c = b + 13 to e, which gives e = b + 37.\n4. Substitute b = g + 19 to e, which gives e = g + 56.\n5. Substitute g = v + 2 to e, which gives e = v + 58.\n6. Substitute v = 15 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 23479,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 13; e = o + 3; q = c + 3; n = i + 11; i = v + 13; p = n + 13; b = g + 19; v = 15; o = q + 18; h = p + 3; w = h + 20; g = v + 2; z = w + 11. If v = 15, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 5", "m": "i + 9", "c": "m + 7", "t": "c + 15", "l": "t + 5", "f": "l + 18", "p": "o + 8", "y": "p + 6", "d": "y + 15", "a": "d + 12", "x": "a + 12", "q": "x + 5", "o": 18}, "premises": {"o": 18}, "target": "f"}, "answer": {"steps": [["l", "t + 5", "t + 23"], ["t", "c + 15", "c + 38"], ["c", "m + 7", "m + 45"], ["m", "i + 9", "i + 54"], ["i", "o + 5", "o + 59"], ["o", 18, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"o": 18}, "is_reverse": true}} | 23,480 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 12; l = t + 5; t = c + 15; x = a + 12; d = y + 15; m = i + 9; p = o + 8; y = p + 6; q = x + 5; f = l + 18; i = o + 5; o = 18; c = m + 7. If o = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 5 to f, which gives f = t + 23.\n2. Substitute t = c + 15 to f, which gives f = c + 38.\n3. Substitute c = m + 7 to f, which gives f = m + 45.\n4. Substitute m = i + 9 to f, which gives f = i + 54.\n5. Substitute i = o + 5 to f, which gives f = o + 59.\n6. Substitute o = 18 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 23480,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = d + 12; l = t + 5; t = c + 15; x = a + 12; d = y + 15; m = i + 9; p = o + 8; y = p + 6; q = x + 5; f = l + 18; i = o + 5; o = 18; c = m + 7. If o = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 19", "k": "m + 18", "t": "k + 14", "r": "t + 20", "h": "r + 7", "x": "h + 5", "w": "n + 8", "a": "w + 15", "d": "a + 9", "q": "d + 13", "u": "q + 3", "p": "u + 14", "n": 18}, "premises": {"n": 18}, "target": "x"}, "answer": {"steps": [["h", "r + 7", "r + 12"], ["r", "t + 20", "t + 32"], ["t", "k + 14", "k + 46"], ["k", "m + 18", "m + 64"], ["m", "n + 19", "n + 83"], ["n", 18, "101"]], "target_var_name": "x", "target_value": 101, "value_dict": {"n": 18}, "is_reverse": true}} | 23,481 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 18; u = q + 3; m = n + 19; q = d + 13; a = w + 15; n = 18; x = h + 5; d = a + 9; r = t + 20; h = r + 7; w = n + 8; p = u + 14; t = k + 14. If n = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 7 to x, which gives x = r + 12.\n2. Substitute r = t + 20 to x, which gives x = t + 32.\n3. Substitute t = k + 14 to x, which gives x = k + 46.\n4. Substitute k = m + 18 to x, which gives x = m + 64.\n5. Substitute m = n + 19 to x, which gives x = n + 83.\n6. Substitute n = 18 to x, which gives x = 101.\n\nThus, the final answer is x = \\boxed{101}.",
"index": 23481,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = m + 18; u = q + 3; m = n + 19; q = d + 13; a = w + 15; n = 18; x = h + 5; d = a + 9; r = t + 20; h = r + 7; w = n + 8; p = u + 14; t = k + 14. If n = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 6", "l": "k + 15", "p": "l + 2", "z": "p + 12", "f": "z + 15", "c": "f + 20", "v": "e + 18", "x": "v + 12", "d": "x + 8", "g": "d + 20", "n": "g + 2", "u": "n + 20", "e": 17}, "premises": {"e": 17}, "target": "c"}, "answer": {"steps": [["f", "z + 15", "z + 35"], ["z", "p + 12", "p + 47"], ["p", "l + 2", "l + 49"], ["l", "k + 15", "k + 64"], ["k", "e + 6", "e + 70"], ["e", 17, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"e": 17}, "is_reverse": true}} | 23,482 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 6; v = e + 18; d = x + 8; g = d + 20; e = 17; z = p + 12; p = l + 2; c = f + 20; l = k + 15; n = g + 2; x = v + 12; f = z + 15; u = n + 20. If e = 17, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 15 to c, which gives c = z + 35.\n2. Substitute z = p + 12 to c, which gives c = p + 47.\n3. Substitute p = l + 2 to c, which gives c = l + 49.\n4. Substitute l = k + 15 to c, which gives c = k + 64.\n5. Substitute k = e + 6 to c, which gives c = e + 70.\n6. Substitute e = 17 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 23482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 6; v = e + 18; d = x + 8; g = d + 20; e = 17; z = p + 12; p = l + 2; c = f + 20; l = k + 15; n = g + 2; x = v + 12; f = z + 15; u = n + 20. If e = 17, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 12", "h": "x + 4", "t": "h + 5", "v": "t + 10", "r": "v + 18", "m": "r + 5", "l": "g + 11", "w": "l + 16", "d": "w + 4", "k": "d + 5", "o": "k + 6", "j": "o + 16", "g": 19}, "premises": {"g": 19}, "target": "m"}, "answer": {"steps": [["r", "v + 18", "v + 23"], ["v", "t + 10", "t + 33"], ["t", "h + 5", "h + 38"], ["h", "x + 4", "x + 42"], ["x", "g + 12", "g + 54"], ["g", 19, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"g": 19}, "is_reverse": true}} | 23,483 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 5; l = g + 11; r = v + 18; d = w + 4; j = o + 16; h = x + 4; g = 19; k = d + 5; v = t + 10; o = k + 6; m = r + 5; x = g + 12; w = l + 16. Given that g = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 18 to m, which gives m = v + 23.\n2. Substitute v = t + 10 to m, which gives m = t + 33.\n3. Substitute t = h + 5 to m, which gives m = h + 38.\n4. Substitute h = x + 4 to m, which gives m = x + 42.\n5. Substitute x = g + 12 to m, which gives m = g + 54.\n6. Substitute g = 19 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 23483,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 5; l = g + 11; r = v + 18; d = w + 4; j = o + 16; h = x + 4; g = 19; k = d + 5; v = t + 10; o = k + 6; m = r + 5; x = g + 12; w = l + 16. Given that g = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 17", "e": "u + 5", "i": "e + 19", "b": "i + 2", "a": "b + 5", "f": "a + 6", "l": "y + 15", "r": "l + 17", "o": "r + 2", "g": "o + 1", "w": "g + 17", "k": "w + 1", "y": 20}, "premises": {"y": 20}, "target": "f"}, "answer": {"steps": [["a", "b + 5", "b + 11"], ["b", "i + 2", "i + 13"], ["i", "e + 19", "e + 32"], ["e", "u + 5", "u + 37"], ["u", "y + 17", "y + 54"], ["y", 20, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"y": 20}, "is_reverse": true}} | 23,484 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 17; y = 20; a = b + 5; f = a + 6; e = u + 5; o = r + 2; b = i + 2; i = e + 19; u = y + 17; l = y + 15; k = w + 1; r = l + 17; g = o + 1. If y = 20, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 5 to f, which gives f = b + 11.\n2. Substitute b = i + 2 to f, which gives f = i + 13.\n3. Substitute i = e + 19 to f, which gives f = e + 32.\n4. Substitute e = u + 5 to f, which gives f = u + 37.\n5. Substitute u = y + 17 to f, which gives f = y + 54.\n6. Substitute y = 20 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 23484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 17; y = 20; a = b + 5; f = a + 6; e = u + 5; o = r + 2; b = i + 2; i = e + 19; u = y + 17; l = y + 15; k = w + 1; r = l + 17; g = o + 1. If y = 20, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 3", "o": "a + 10", "n": "o + 20", "d": "n + 11", "p": "d + 1", "f": "p + 3", "e": "b + 7", "x": "e + 14", "g": "x + 11", "z": "g + 14", "j": "z + 7", "w": "j + 11", "b": 5}, "premises": {"b": 5}, "target": "f"}, "answer": {"steps": [["p", "d + 1", "d + 4"], ["d", "n + 11", "n + 15"], ["n", "o + 20", "o + 35"], ["o", "a + 10", "a + 45"], ["a", "b + 3", "b + 48"], ["b", 5, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"b": 5}, "is_reverse": true}} | 23,485 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 1; a = b + 3; b = 5; o = a + 10; g = x + 11; x = e + 14; n = o + 20; z = g + 14; w = j + 11; f = p + 3; e = b + 7; d = n + 11; j = z + 7. Given that b = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 1 to f, which gives f = d + 4.\n2. Substitute d = n + 11 to f, which gives f = n + 15.\n3. Substitute n = o + 20 to f, which gives f = o + 35.\n4. Substitute o = a + 10 to f, which gives f = a + 45.\n5. Substitute a = b + 3 to f, which gives f = b + 48.\n6. Substitute b = 5 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 23485,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 1; a = b + 3; b = 5; o = a + 10; g = x + 11; x = e + 14; n = o + 20; z = g + 14; w = j + 11; f = p + 3; e = b + 7; d = n + 11; j = z + 7. Given that b = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 3", "h": "p + 2", "u": "h + 8", "m": "u + 18", "x": "m + 18", "q": "x + 13", "v": "b + 13", "i": "v + 10", "f": "i + 8", "g": "f + 6", "z": "g + 16", "n": "z + 5", "b": 5}, "premises": {"b": 5}, "target": "q"}, "answer": {"steps": [["x", "m + 18", "m + 31"], ["m", "u + 18", "u + 49"], ["u", "h + 8", "h + 57"], ["h", "p + 2", "p + 59"], ["p", "b + 3", "b + 62"], ["b", 5, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"b": 5}, "is_reverse": true}} | 23,486 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 8; p = b + 3; n = z + 5; x = m + 18; b = 5; v = b + 13; i = v + 10; z = g + 16; h = p + 2; m = u + 18; g = f + 6; q = x + 13; f = i + 8. If b = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 18 to q, which gives q = m + 31.\n2. Substitute m = u + 18 to q, which gives q = u + 49.\n3. Substitute u = h + 8 to q, which gives q = h + 57.\n4. Substitute h = p + 2 to q, which gives q = p + 59.\n5. Substitute p = b + 3 to q, which gives q = b + 62.\n6. Substitute b = 5 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 23486,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 8; p = b + 3; n = z + 5; x = m + 18; b = 5; v = b + 13; i = v + 10; z = g + 16; h = p + 2; m = u + 18; g = f + 6; q = x + 13; f = i + 8. If b = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 5", "z": "m + 8", "a": "z + 13", "d": "a + 10", "l": "d + 13", "i": "l + 11", "p": "n + 2", "s": "p + 3", "o": "s + 2", "x": "o + 17", "y": "x + 9", "f": "y + 20", "n": 8}, "premises": {"n": 8}, "target": "i"}, "answer": {"steps": [["l", "d + 13", "d + 24"], ["d", "a + 10", "a + 34"], ["a", "z + 13", "z + 47"], ["z", "m + 8", "m + 55"], ["m", "n + 5", "n + 60"], ["n", 8, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"n": 8}, "is_reverse": true}} | 23,487 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 9; l = d + 13; o = s + 2; f = y + 20; m = n + 5; p = n + 2; n = 8; d = a + 10; s = p + 3; z = m + 8; i = l + 11; x = o + 17; a = z + 13. Given that n = 8, find the 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 l = d + 13 to i, which gives i = d + 24.\n2. Substitute d = a + 10 to i, which gives i = a + 34.\n3. Substitute a = z + 13 to i, which gives i = z + 47.\n4. Substitute z = m + 8 to i, which gives i = m + 55.\n5. Substitute m = n + 5 to i, which gives i = n + 60.\n6. Substitute n = 8 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 23487,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 9; l = d + 13; o = s + 2; f = y + 20; m = n + 5; p = n + 2; n = 8; d = a + 10; s = p + 3; z = m + 8; i = l + 11; x = o + 17; a = z + 13. Given that n = 8, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 10", "y": "m + 19", "n": "y + 7", "t": "n + 7", "w": "t + 20", "g": "w + 17", "u": "l + 1", "j": "u + 10", "x": "j + 16", "b": "x + 4", "i": "b + 11", "r": "i + 16", "l": 15}, "premises": {"l": 15}, "target": "g"}, "answer": {"steps": [["w", "t + 20", "t + 37"], ["t", "n + 7", "n + 44"], ["n", "y + 7", "y + 51"], ["y", "m + 19", "m + 70"], ["m", "l + 10", "l + 80"], ["l", 15, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"l": 15}, "is_reverse": true}} | 23,488 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = b + 11; g = w + 17; u = l + 1; w = t + 20; y = m + 19; r = i + 16; l = 15; b = x + 4; t = n + 7; m = l + 10; j = u + 10; n = y + 7; x = j + 16. If l = 15, determine 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 w = t + 20 to g, which gives g = t + 37.\n2. Substitute t = n + 7 to g, which gives g = n + 44.\n3. Substitute n = y + 7 to g, which gives g = y + 51.\n4. Substitute y = m + 19 to g, which gives g = m + 70.\n5. Substitute m = l + 10 to g, which gives g = l + 80.\n6. Substitute l = 15 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 23488,
"question": "Consider a system of variables where each variable is defined as follows: i = b + 11; g = w + 17; u = l + 1; w = t + 20; y = m + 19; r = i + 16; l = 15; b = x + 4; t = n + 7; m = l + 10; j = u + 10; n = y + 7; x = j + 16. If l = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 3", "c": "e + 1", "h": "c + 16", "v": "h + 12", "k": "v + 20", "w": "k + 20", "p": "l + 18", "a": "p + 5", "n": "a + 16", "r": "n + 6", "f": "r + 16", "d": "f + 20", "l": 2}, "premises": {"l": 2}, "target": "w"}, "answer": {"steps": [["k", "v + 20", "v + 40"], ["v", "h + 12", "h + 52"], ["h", "c + 16", "c + 68"], ["c", "e + 1", "e + 69"], ["e", "l + 3", "l + 72"], ["l", 2, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"l": 2}, "is_reverse": true}} | 23,489 | 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 = 2; p = l + 18; e = l + 3; c = e + 1; d = f + 20; n = a + 16; f = r + 16; a = p + 5; r = n + 6; k = v + 20; v = h + 12; h = c + 16; w = k + 20. If l = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 20 to w, which gives w = v + 40.\n2. Substitute v = h + 12 to w, which gives w = h + 52.\n3. Substitute h = c + 16 to w, which gives w = c + 68.\n4. Substitute c = e + 1 to w, which gives w = e + 69.\n5. Substitute e = l + 3 to w, which gives w = l + 72.\n6. Substitute l = 2 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 23489,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 2; p = l + 18; e = l + 3; c = e + 1; d = f + 20; n = a + 16; f = r + 16; a = p + 5; r = n + 6; k = v + 20; v = h + 12; h = c + 16; w = k + 20. If l = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 16", "z": "u + 9", "k": "z + 11", "m": "k + 3", "e": "m + 6", "p": "e + 14", "g": "f + 19", "h": "g + 10", "y": "h + 6", "t": "y + 6", "b": "t + 17", "w": "b + 9", "f": 11}, "premises": {"f": 11}, "target": "p"}, "answer": {"steps": [["e", "m + 6", "m + 20"], ["m", "k + 3", "k + 23"], ["k", "z + 11", "z + 34"], ["z", "u + 9", "u + 43"], ["u", "f + 16", "f + 59"], ["f", 11, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"f": 11}, "is_reverse": true}} | 23,490 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 6; m = k + 3; b = t + 17; p = e + 14; t = y + 6; w = b + 9; z = u + 9; k = z + 11; y = h + 6; g = f + 19; u = f + 16; f = 11; h = g + 10. Given that f = 11, 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 e = m + 6 to p, which gives p = m + 20.\n2. Substitute m = k + 3 to p, which gives p = k + 23.\n3. Substitute k = z + 11 to p, which gives p = z + 34.\n4. Substitute z = u + 9 to p, which gives p = u + 43.\n5. Substitute u = f + 16 to p, which gives p = f + 59.\n6. Substitute f = 11 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 23490,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 6; m = k + 3; b = t + 17; p = e + 14; t = y + 6; w = b + 9; z = u + 9; k = z + 11; y = h + 6; g = f + 19; u = f + 16; f = 11; h = g + 10. Given that f = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"h": "j + 9", "k": "h + 15", "q": "k + 15", "f": "q + 19", "c": "f + 15", "t": "c + 12", "u": "j + 12", "r": "u + 10", "b": "r + 10", "p": "b + 8", "n": "p + 17", "l": "n + 1", "j": 7}, "premises": {"j": 7}, "target": "t"}, "answer": {"steps": [["c", "f + 15", "f + 27"], ["f", "q + 19", "q + 46"], ["q", "k + 15", "k + 61"], ["k", "h + 15", "h + 76"], ["h", "j + 9", "j + 85"], ["j", 7, "92"]], "target_var_name": "t", "target_value": 92, "value_dict": {"j": 7}, "is_reverse": true}} | 23,491 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 12; p = b + 8; f = q + 19; k = h + 15; l = n + 1; q = k + 15; c = f + 15; r = u + 10; u = j + 12; b = r + 10; h = j + 9; n = p + 17; j = 7. If j = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 15 to t, which gives t = f + 27.\n2. Substitute f = q + 19 to t, which gives t = q + 46.\n3. Substitute q = k + 15 to t, which gives t = k + 61.\n4. Substitute k = h + 15 to t, which gives t = h + 76.\n5. Substitute h = j + 9 to t, which gives t = j + 85.\n6. Substitute j = 7 to t, which gives t = 92.\n\nThus, the final answer is t = \\boxed{92}.",
"index": 23491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 12; p = b + 8; f = q + 19; k = h + 15; l = n + 1; q = k + 15; c = f + 15; r = u + 10; u = j + 12; b = r + 10; h = j + 9; n = p + 17; j = 7. If j = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 2", "g": "t + 4", "p": "g + 4", "e": "p + 15", "h": "e + 19", "i": "h + 10", "z": "k + 8", "r": "z + 6", "j": "r + 9", "w": "j + 6", "x": "w + 10", "q": "x + 8", "k": 7}, "premises": {"k": 7}, "target": "i"}, "answer": {"steps": [["h", "e + 19", "e + 29"], ["e", "p + 15", "p + 44"], ["p", "g + 4", "g + 48"], ["g", "t + 4", "t + 52"], ["t", "k + 2", "k + 54"], ["k", 7, "61"]], "target_var_name": "i", "target_value": 61, "value_dict": {"k": 7}, "is_reverse": true}} | 23,492 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 10; r = z + 6; k = 7; g = t + 4; z = k + 8; h = e + 19; x = w + 10; p = g + 4; t = k + 2; w = j + 6; j = r + 9; e = p + 15; q = x + 8. If k = 7, what is the resulting 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 h = e + 19 to i, which gives i = e + 29.\n2. Substitute e = p + 15 to i, which gives i = p + 44.\n3. Substitute p = g + 4 to i, which gives i = g + 48.\n4. Substitute g = t + 4 to i, which gives i = t + 52.\n5. Substitute t = k + 2 to i, which gives i = k + 54.\n6. Substitute k = 7 to i, which gives i = 61.\n\nThus, the final answer is i = \\boxed{61}.",
"index": 23492,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 10; r = z + 6; k = 7; g = t + 4; z = k + 8; h = e + 19; x = w + 10; p = g + 4; t = k + 2; w = j + 6; j = r + 9; e = p + 15; q = x + 8. If k = 7, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 12", "j": "z + 1", "s": "j + 7", "q": "s + 15", "n": "q + 12", "u": "n + 18", "p": "i + 10", "v": "p + 1", "w": "v + 9", "x": "w + 7", "d": "x + 18", "b": "d + 7", "i": 4}, "premises": {"i": 4}, "target": "u"}, "answer": {"steps": [["n", "q + 12", "q + 30"], ["q", "s + 15", "s + 45"], ["s", "j + 7", "j + 52"], ["j", "z + 1", "z + 53"], ["z", "i + 12", "i + 65"], ["i", 4, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"i": 4}, "is_reverse": true}} | 23,493 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 1; n = q + 12; q = s + 15; d = x + 18; p = i + 10; b = d + 7; u = n + 18; w = v + 9; v = p + 1; i = 4; s = j + 7; z = i + 12; x = w + 7. If i = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 12 to u, which gives u = q + 30.\n2. Substitute q = s + 15 to u, which gives u = s + 45.\n3. Substitute s = j + 7 to u, which gives u = j + 52.\n4. Substitute j = z + 1 to u, which gives u = z + 53.\n5. Substitute z = i + 12 to u, which gives u = i + 65.\n6. Substitute i = 4 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 23493,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 1; n = q + 12; q = s + 15; d = x + 18; p = i + 10; b = d + 7; u = n + 18; w = v + 9; v = p + 1; i = 4; s = j + 7; z = i + 12; x = w + 7. If i = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"g": "w + 1", "i": "g + 9", "o": "i + 9", "j": "o + 10", "k": "j + 12", "e": "k + 18", "l": "w + 1", "h": "l + 15", "v": "h + 5", "z": "v + 19", "s": "z + 15", "x": "s + 8", "w": 13}, "premises": {"w": 13}, "target": "e"}, "answer": {"steps": [["k", "j + 12", "j + 30"], ["j", "o + 10", "o + 40"], ["o", "i + 9", "i + 49"], ["i", "g + 9", "g + 58"], ["g", "w + 1", "w + 59"], ["w", 13, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"w": 13}, "is_reverse": true}} | 23,494 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 15; z = v + 19; x = s + 8; g = w + 1; e = k + 18; i = g + 9; v = h + 5; l = w + 1; k = j + 12; o = i + 9; h = l + 15; j = o + 10; w = 13. Given that w = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 12 to e, which gives e = j + 30.\n2. Substitute j = o + 10 to e, which gives e = o + 40.\n3. Substitute o = i + 9 to e, which gives e = i + 49.\n4. Substitute i = g + 9 to e, which gives e = g + 58.\n5. Substitute g = w + 1 to e, which gives e = w + 59.\n6. Substitute w = 13 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 23494,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 15; z = v + 19; x = s + 8; g = w + 1; e = k + 18; i = g + 9; v = h + 5; l = w + 1; k = j + 12; o = i + 9; h = l + 15; j = o + 10; w = 13. Given that w = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 16", "k": "f + 16", "d": "k + 8", "u": "d + 1", "v": "u + 19", "x": "v + 20", "q": "n + 7", "z": "q + 12", "g": "z + 20", "r": "g + 5", "c": "r + 7", "p": "c + 1", "n": 15}, "premises": {"n": 15}, "target": "x"}, "answer": {"steps": [["v", "u + 19", "u + 39"], ["u", "d + 1", "d + 40"], ["d", "k + 8", "k + 48"], ["k", "f + 16", "f + 64"], ["f", "n + 16", "n + 80"], ["n", 15, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"n": 15}, "is_reverse": true}} | 23,495 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; n = 15; q = n + 7; u = d + 1; g = z + 20; r = g + 5; f = n + 16; c = r + 7; k = f + 16; d = k + 8; z = q + 12; v = u + 19; p = c + 1. If n = 15, what is the resulting 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 v = u + 19 to x, which gives x = u + 39.\n2. Substitute u = d + 1 to x, which gives x = d + 40.\n3. Substitute d = k + 8 to x, which gives x = k + 48.\n4. Substitute k = f + 16 to x, which gives x = f + 64.\n5. Substitute f = n + 16 to x, which gives x = n + 80.\n6. Substitute n = 15 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 23495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = v + 20; n = 15; q = n + 7; u = d + 1; g = z + 20; r = g + 5; f = n + 16; c = r + 7; k = f + 16; d = k + 8; z = q + 12; v = u + 19; p = c + 1. If n = 15, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 5", "e": "y + 5", "w": "e + 7", "j": "w + 18", "p": "j + 20", "n": "p + 15", "z": "u + 4", "d": "z + 8", "k": "d + 3", "m": "k + 13", "o": "m + 12", "h": "o + 11", "u": 19}, "premises": {"u": 19}, "target": "n"}, "answer": {"steps": [["p", "j + 20", "j + 35"], ["j", "w + 18", "w + 53"], ["w", "e + 7", "e + 60"], ["e", "y + 5", "y + 65"], ["y", "u + 5", "u + 70"], ["u", 19, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"u": 19}, "is_reverse": true}} | 23,496 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 12; e = y + 5; z = u + 4; m = k + 13; p = j + 20; n = p + 15; h = o + 11; y = u + 5; u = 19; j = w + 18; d = z + 8; k = d + 3; w = e + 7. If u = 19, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 20 to n, which gives n = j + 35.\n2. Substitute j = w + 18 to n, which gives n = w + 53.\n3. Substitute w = e + 7 to n, which gives n = e + 60.\n4. Substitute e = y + 5 to n, which gives n = y + 65.\n5. Substitute y = u + 5 to n, which gives n = u + 70.\n6. Substitute u = 19 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 23496,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = m + 12; e = y + 5; z = u + 4; m = k + 13; p = j + 20; n = p + 15; h = o + 11; y = u + 5; u = 19; j = w + 18; d = z + 8; k = d + 3; w = e + 7. If u = 19, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "c + 1", "v": "i + 14", "r": "v + 7", "h": "r + 1", "n": "h + 14", "z": "n + 16", "g": "c + 18", "s": "g + 10", "b": "s + 6", "w": "b + 1", "e": "w + 20", "t": "e + 12", "c": 3}, "premises": {"c": 3}, "target": "z"}, "answer": {"steps": [["n", "h + 14", "h + 30"], ["h", "r + 1", "r + 31"], ["r", "v + 7", "v + 38"], ["v", "i + 14", "i + 52"], ["i", "c + 1", "c + 53"], ["c", 3, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"c": 3}, "is_reverse": true}} | 23,497 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 1; z = n + 16; v = i + 14; h = r + 1; e = w + 20; i = c + 1; c = 3; t = e + 12; n = h + 14; r = v + 7; b = s + 6; s = g + 10; g = c + 18. If c = 3, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 14 to z, which gives z = h + 30.\n2. Substitute h = r + 1 to z, which gives z = r + 31.\n3. Substitute r = v + 7 to z, which gives z = v + 38.\n4. Substitute v = i + 14 to z, which gives z = i + 52.\n5. Substitute i = c + 1 to z, which gives z = c + 53.\n6. Substitute c = 3 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 23497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 1; z = n + 16; v = i + 14; h = r + 1; e = w + 20; i = c + 1; c = 3; t = e + 12; n = h + 14; r = v + 7; b = s + 6; s = g + 10; g = c + 18. If c = 3, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 16", "g": "o + 13", "u": "g + 5", "i": "u + 14", "t": "i + 7", "h": "t + 3", "l": "m + 7", "d": "l + 15", "c": "d + 1", "n": "c + 2", "r": "n + 4", "w": "r + 3", "m": 9}, "premises": {"m": 9}, "target": "h"}, "answer": {"steps": [["t", "i + 7", "i + 10"], ["i", "u + 14", "u + 24"], ["u", "g + 5", "g + 29"], ["g", "o + 13", "o + 42"], ["o", "m + 16", "m + 58"], ["m", 9, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"m": 9}, "is_reverse": true}} | 23,498 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 3; g = o + 13; c = d + 1; r = n + 4; u = g + 5; d = l + 15; i = u + 14; h = t + 3; l = m + 7; m = 9; n = c + 2; t = i + 7; o = m + 16. If m = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 7 to h, which gives h = i + 10.\n2. Substitute i = u + 14 to h, which gives h = u + 24.\n3. Substitute u = g + 5 to h, which gives h = g + 29.\n4. Substitute g = o + 13 to h, which gives h = o + 42.\n5. Substitute o = m + 16 to h, which gives h = m + 58.\n6. Substitute m = 9 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 23498,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 3; g = o + 13; c = d + 1; r = n + 4; u = g + 5; d = l + 15; i = u + 14; h = t + 3; l = m + 7; m = 9; n = c + 2; t = i + 7; o = m + 16. If m = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 18", "k": "j + 17", "u": "k + 3", "y": "u + 14", "r": "y + 13", "t": "r + 16", "b": "z + 11", "f": "b + 15", "s": "f + 6", "x": "s + 10", "n": "x + 16", "d": "n + 18", "z": 7}, "premises": {"z": 7}, "target": "t"}, "answer": {"steps": [["r", "y + 13", "y + 29"], ["y", "u + 14", "u + 43"], ["u", "k + 3", "k + 46"], ["k", "j + 17", "j + 63"], ["j", "z + 18", "z + 81"], ["z", 7, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"z": 7}, "is_reverse": true}} | 23,499 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = n + 18; r = y + 13; z = 7; b = z + 11; j = z + 18; y = u + 14; s = f + 6; f = b + 15; n = x + 16; x = s + 10; k = j + 17; u = k + 3; t = r + 16. If z = 7, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = y + 13 to t, which gives t = y + 29.\n2. Substitute y = u + 14 to t, which gives t = u + 43.\n3. Substitute u = k + 3 to t, which gives t = k + 46.\n4. Substitute k = j + 17 to t, which gives t = j + 63.\n5. Substitute j = z + 18 to t, which gives t = z + 81.\n6. Substitute z = 7 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 23499,
"question": "Consider a system of variables where each variable is defined as follows: d = n + 18; r = y + 13; z = 7; b = z + 11; j = z + 18; y = u + 14; s = f + 6; f = b + 15; n = x + 16; x = s + 10; k = j + 17; u = k + 3; t = r + 16. If z = 7, determine the value of t.",
"split": "train"
} |
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