meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"g": "p + 19", "u": "g + 12", "r": "u + 7", "q": "r + 11", "b": "q + 6", "m": "b + 12", "l": "p + 6", "w": "l + 9", "j": "w + 14", "t": "j + 15", "k": "t + 13", "o": "k + 5", "p": 15}, "premises": {"p": 15}, "target": "m"}, "answer": {"steps": [["g", "p + 19", 34], ["u", "g + 12", 46], ["r", "u + 7", 53], ["q", "r + 11", 64], ["b", "q + 6", 70], ["m", "b + 12", 82]], "target_var_name": "m", "target_value": 82, "value_dict": {"p": 15, "g": 34, "u": 46, "r": 53, "q": 64, "b": 70, "m": 82}, "is_reverse": false}} | 900 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 15; w = l + 9; j = w + 14; o = k + 5; p = 15; m = b + 12; l = p + 6; r = u + 7; q = r + 11; u = g + 12; k = t + 13; b = q + 6; g = p + 19. If p = 15, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = p + 19, which gives g = 34.\n2. Compute u using u = g + 12, which gives u = 46.\n3. Compute r using r = u + 7, which gives r = 53.\n4. Compute q using q = r + 11, which gives q = 64.\n5. Compute b using b = q + 6, which gives b = 70.\n6. Compute m using m = b + 12, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 900,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 15; w = l + 9; j = w + 14; o = k + 5; p = 15; m = b + 12; l = p + 6; r = u + 7; q = r + 11; u = g + 12; k = t + 13; b = q + 6; g = p + 19. If p = 15, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 14", "o": "r + 14", "y": "o + 18", "e": "y + 20", "i": "e + 14", "c": "i + 15", "v": "m + 9", "s": "v + 1", "q": "s + 15", "u": "q + 6", "p": "u + 13", "b": "p + 7", "m": 9}, "premises": {"m": 9}, "target": "c"}, "answer": {"steps": [["i", "e + 14", "e + 29"], ["e", "y + 20", "y + 49"], ["y", "o + 18", "o + 67"], ["o", "r + 14", "r + 81"], ["r", "m + 14", "m + 95"], ["m", 9, "104"]], "target_var_name": "c", "target_value": 104, "value_dict": {"m": 9}, "is_reverse": true}} | 901 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 18; e = y + 20; u = q + 6; i = e + 14; m = 9; p = u + 13; c = i + 15; v = m + 9; r = m + 14; s = v + 1; q = s + 15; o = r + 14; b = p + 7. Given that m = 9, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 14 to c, which gives c = e + 29.\n2. Substitute e = y + 20 to c, which gives c = y + 49.\n3. Substitute y = o + 18 to c, which gives c = o + 67.\n4. Substitute o = r + 14 to c, which gives c = r + 81.\n5. Substitute r = m + 14 to c, which gives c = m + 95.\n6. Substitute m = 9 to c, which gives c = 104.\n\nThus, the final answer is c = \\boxed{104}.",
"index": 901,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 18; e = y + 20; u = q + 6; i = e + 14; m = 9; p = u + 13; c = i + 15; v = m + 9; r = m + 14; s = v + 1; q = s + 15; o = r + 14; b = p + 7. Given that m = 9, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 10", "a": "l + 18", "u": "a + 13", "m": "u + 20", "f": "m + 18", "s": "f + 19", "i": "n + 9", "b": "i + 8", "d": "b + 13", "h": "d + 19", "q": "h + 19", "w": "q + 20", "n": 4}, "premises": {"n": 4}, "target": "s"}, "answer": {"steps": [["l", "n + 10", 14], ["a", "l + 18", 32], ["u", "a + 13", 45], ["m", "u + 20", 65], ["f", "m + 18", 83], ["s", "f + 19", 102]], "target_var_name": "s", "target_value": 102, "value_dict": {"n": 4, "l": 14, "a": 32, "u": 45, "m": 65, "f": 83, "s": 102}, "is_reverse": false}} | 902 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 10; f = m + 18; b = i + 8; a = l + 18; u = a + 13; q = h + 19; i = n + 9; s = f + 19; m = u + 20; n = 4; d = b + 13; w = q + 20; h = d + 19. Given that n = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = n + 10, which gives l = 14.\n2. Compute a using a = l + 18, which gives a = 32.\n3. Compute u using u = a + 13, which gives u = 45.\n4. Compute m using m = u + 20, which gives m = 65.\n5. Compute f using f = m + 18, which gives f = 83.\n6. Compute s using s = f + 19, which gives s = 102.\n\nThus, the final answer is s = \\boxed{102}.",
"index": 902,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 10; f = m + 18; b = i + 8; a = l + 18; u = a + 13; q = h + 19; i = n + 9; s = f + 19; m = u + 20; n = 4; d = b + 13; w = q + 20; h = d + 19. Given that n = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 18", "t": "w + 3", "m": "t + 20", "u": "m + 19", "c": "u + 17", "f": "c + 2", "a": "j + 20", "p": "a + 4", "z": "p + 18", "v": "z + 11", "o": "v + 17", "e": "o + 12", "j": 13}, "premises": {"j": 13}, "target": "f"}, "answer": {"steps": [["c", "u + 17", "u + 19"], ["u", "m + 19", "m + 38"], ["m", "t + 20", "t + 58"], ["t", "w + 3", "w + 61"], ["w", "j + 18", "j + 79"], ["j", 13, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"j": 13}, "is_reverse": true}} | 903 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 4; f = c + 2; c = u + 17; t = w + 3; z = p + 18; u = m + 19; v = z + 11; a = j + 20; w = j + 18; e = o + 12; m = t + 20; j = 13; o = v + 17. If j = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 17 to f, which gives f = u + 19.\n2. Substitute u = m + 19 to f, which gives f = m + 38.\n3. Substitute m = t + 20 to f, which gives f = t + 58.\n4. Substitute t = w + 3 to f, which gives f = w + 61.\n5. Substitute w = j + 18 to f, which gives f = j + 79.\n6. Substitute j = 13 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 903,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 4; f = c + 2; c = u + 17; t = w + 3; z = p + 18; u = m + 19; v = z + 11; a = j + 20; w = j + 18; e = o + 12; m = t + 20; j = 13; o = v + 17. If j = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"l": "d + 16", "g": "l + 20", "o": "g + 1", "b": "o + 1", "s": "b + 16", "c": "s + 4", "v": "d + 10", "z": "v + 16", "a": "z + 15", "x": "a + 9", "q": "x + 9", "t": "q + 14", "d": 8}, "premises": {"d": 8}, "target": "c"}, "answer": {"steps": [["l", "d + 16", 24], ["g", "l + 20", 44], ["o", "g + 1", 45], ["b", "o + 1", 46], ["s", "b + 16", 62], ["c", "s + 4", 66]], "target_var_name": "c", "target_value": 66, "value_dict": {"d": 8, "l": 24, "g": 44, "o": 45, "b": 46, "s": 62, "c": 66}, "is_reverse": false}} | 904 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 16; c = s + 4; g = l + 20; q = x + 9; a = z + 15; z = v + 16; x = a + 9; l = d + 16; d = 8; o = g + 1; v = d + 10; b = o + 1; t = q + 14. Given that d = 8, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = d + 16, which gives l = 24.\n2. Compute g using g = l + 20, which gives g = 44.\n3. Compute o using o = g + 1, which gives o = 45.\n4. Compute b using b = o + 1, which gives b = 46.\n5. Compute s using s = b + 16, which gives s = 62.\n6. Compute c using c = s + 4, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 904,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 16; c = s + 4; g = l + 20; q = x + 9; a = z + 15; z = v + 16; x = a + 9; l = d + 16; d = 8; o = g + 1; v = d + 10; b = o + 1; t = q + 14. Given that d = 8, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 4", "n": "h + 10", "y": "n + 12", "q": "y + 4", "k": "q + 1", "c": "k + 1", "s": "f + 16", "o": "s + 14", "a": "o + 6", "w": "a + 15", "p": "w + 8", "x": "p + 14", "f": 16}, "premises": {"f": 16}, "target": "c"}, "answer": {"steps": [["h", "f + 4", 20], ["n", "h + 10", 30], ["y", "n + 12", 42], ["q", "y + 4", 46], ["k", "q + 1", 47], ["c", "k + 1", 48]], "target_var_name": "c", "target_value": 48, "value_dict": {"f": 16, "h": 20, "n": 30, "y": 42, "q": 46, "k": 47, "c": 48}, "is_reverse": false}} | 905 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = k + 1; k = q + 1; n = h + 10; o = s + 14; a = o + 6; s = f + 16; q = y + 4; y = n + 12; x = p + 14; f = 16; h = f + 4; w = a + 15; p = w + 8. Given that f = 16, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = f + 4, which gives h = 20.\n2. Compute n using n = h + 10, which gives n = 30.\n3. Compute y using y = n + 12, which gives y = 42.\n4. Compute q using q = y + 4, which gives q = 46.\n5. Compute k using k = q + 1, which gives k = 47.\n6. Compute c using c = k + 1, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 905,
"question": "Suppose a collection of variables is related by the following definitions: c = k + 1; k = q + 1; n = h + 10; o = s + 14; a = o + 6; s = f + 16; q = y + 4; y = n + 12; x = p + 14; f = 16; h = f + 4; w = a + 15; p = w + 8. Given that f = 16, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 17", "a": "s + 20", "q": "a + 5", "d": "q + 8", "k": "d + 9", "o": "k + 2", "b": "h + 6", "v": "b + 12", "l": "v + 7", "g": "l + 8", "z": "g + 15", "u": "z + 12", "h": 5}, "premises": {"h": 5}, "target": "o"}, "answer": {"steps": [["s", "h + 17", 22], ["a", "s + 20", 42], ["q", "a + 5", 47], ["d", "q + 8", 55], ["k", "d + 9", 64], ["o", "k + 2", 66]], "target_var_name": "o", "target_value": 66, "value_dict": {"h": 5, "s": 22, "a": 42, "q": 47, "d": 55, "k": 64, "o": 66}, "is_reverse": false}} | 906 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 15; h = 5; a = s + 20; v = b + 12; l = v + 7; d = q + 8; s = h + 17; k = d + 9; b = h + 6; g = l + 8; q = a + 5; u = z + 12; o = k + 2. Given that h = 5, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = h + 17, which gives s = 22.\n2. Compute a using a = s + 20, which gives a = 42.\n3. Compute q using q = a + 5, which gives q = 47.\n4. Compute d using d = q + 8, which gives d = 55.\n5. Compute k using k = d + 9, which gives k = 64.\n6. Compute o using o = k + 2, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 906,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 15; h = 5; a = s + 20; v = b + 12; l = v + 7; d = q + 8; s = h + 17; k = d + 9; b = h + 6; g = l + 8; q = a + 5; u = z + 12; o = k + 2. Given that h = 5, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 7", "v": "y + 14", "z": "v + 17", "u": "z + 14", "p": "u + 4", "d": "p + 12", "x": "j + 17", "o": "x + 15", "r": "o + 5", "c": "r + 5", "a": "c + 12", "l": "a + 3", "j": 20}, "premises": {"j": 20}, "target": "d"}, "answer": {"steps": [["y", "j + 7", 27], ["v", "y + 14", 41], ["z", "v + 17", 58], ["u", "z + 14", 72], ["p", "u + 4", 76], ["d", "p + 12", 88]], "target_var_name": "d", "target_value": 88, "value_dict": {"j": 20, "y": 27, "v": 41, "z": 58, "u": 72, "p": 76, "d": 88}, "is_reverse": false}} | 907 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 12; c = r + 5; a = c + 12; p = u + 4; o = x + 15; j = 20; u = z + 14; l = a + 3; z = v + 17; r = o + 5; x = j + 17; v = y + 14; y = j + 7. If j = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = j + 7, which gives y = 27.\n2. Compute v using v = y + 14, which gives v = 41.\n3. Compute z using z = v + 17, which gives z = 58.\n4. Compute u using u = z + 14, which gives u = 72.\n5. Compute p using p = u + 4, which gives p = 76.\n6. Compute d using d = p + 12, which gives d = 88.\n\nThus, the final answer is d = \\boxed{88}.",
"index": 907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 12; c = r + 5; a = c + 12; p = u + 4; o = x + 15; j = 20; u = z + 14; l = a + 3; z = v + 17; r = o + 5; x = j + 17; v = y + 14; y = j + 7. If j = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 1", "l": "u + 3", "p": "l + 1", "r": "p + 11", "q": "r + 4", "v": "q + 4", "j": "e + 13", "y": "j + 18", "h": "y + 9", "b": "h + 1", "c": "b + 5", "z": "c + 15", "e": 4}, "premises": {"e": 4}, "target": "v"}, "answer": {"steps": [["u", "e + 1", 5], ["l", "u + 3", 8], ["p", "l + 1", 9], ["r", "p + 11", 20], ["q", "r + 4", 24], ["v", "q + 4", 28]], "target_var_name": "v", "target_value": 28, "value_dict": {"e": 4, "u": 5, "l": 8, "p": 9, "r": 20, "q": 24, "v": 28}, "is_reverse": false}} | 908 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 4; u = e + 1; b = h + 1; p = l + 1; c = b + 5; y = j + 18; z = c + 15; h = y + 9; e = 4; q = r + 4; l = u + 3; r = p + 11; j = e + 13. If e = 4, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = e + 1, which gives u = 5.\n2. Compute l using l = u + 3, which gives l = 8.\n3. Compute p using p = l + 1, which gives p = 9.\n4. Compute r using r = p + 11, which gives r = 20.\n5. Compute q using q = r + 4, which gives q = 24.\n6. Compute v using v = q + 4, which gives v = 28.\n\nThus, the final answer is v = \\boxed{28}.",
"index": 908,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 4; u = e + 1; b = h + 1; p = l + 1; c = b + 5; y = j + 18; z = c + 15; h = y + 9; e = 4; q = r + 4; l = u + 3; r = p + 11; j = e + 13. If e = 4, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 16", "w": "f + 3", "j": "w + 17", "u": "j + 17", "v": "u + 16", "t": "v + 7", "k": "i + 3", "a": "k + 17", "q": "a + 11", "r": "q + 17", "x": "r + 15", "n": "x + 3", "i": 2}, "premises": {"i": 2}, "target": "t"}, "answer": {"steps": [["f", "i + 16", 18], ["w", "f + 3", 21], ["j", "w + 17", 38], ["u", "j + 17", 55], ["v", "u + 16", 71], ["t", "v + 7", 78]], "target_var_name": "t", "target_value": 78, "value_dict": {"i": 2, "f": 18, "w": 21, "j": 38, "u": 55, "v": 71, "t": 78}, "is_reverse": false}} | 909 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 7; w = f + 3; f = i + 16; x = r + 15; a = k + 17; k = i + 3; n = x + 3; q = a + 11; u = j + 17; v = u + 16; i = 2; r = q + 17; j = w + 17. If i = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = i + 16, which gives f = 18.\n2. Compute w using w = f + 3, which gives w = 21.\n3. Compute j using j = w + 17, which gives j = 38.\n4. Compute u using u = j + 17, which gives u = 55.\n5. Compute v using v = u + 16, which gives v = 71.\n6. Compute t using t = v + 7, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 909,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 7; w = f + 3; f = i + 16; x = r + 15; a = k + 17; k = i + 3; n = x + 3; q = a + 11; u = j + 17; v = u + 16; i = 2; r = q + 17; j = w + 17. If i = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 12", "z": "f + 11", "k": "z + 15", "r": "k + 17", "p": "r + 8", "d": "p + 20", "x": "q + 6", "i": "x + 8", "l": "i + 9", "o": "l + 10", "u": "o + 3", "m": "u + 16", "q": 7}, "premises": {"q": 7}, "target": "d"}, "answer": {"steps": [["p", "r + 8", "r + 28"], ["r", "k + 17", "k + 45"], ["k", "z + 15", "z + 60"], ["z", "f + 11", "f + 71"], ["f", "q + 12", "q + 83"], ["q", 7, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"q": 7}, "is_reverse": true}} | 910 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 15; i = x + 8; x = q + 6; f = q + 12; u = o + 3; l = i + 9; z = f + 11; r = k + 17; m = u + 16; q = 7; p = r + 8; o = l + 10; d = p + 20. If q = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 8 to d, which gives d = r + 28.\n2. Substitute r = k + 17 to d, which gives d = k + 45.\n3. Substitute k = z + 15 to d, which gives d = z + 60.\n4. Substitute z = f + 11 to d, which gives d = f + 71.\n5. Substitute f = q + 12 to d, which gives d = q + 83.\n6. Substitute q = 7 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 15; i = x + 8; x = q + 6; f = q + 12; u = o + 3; l = i + 9; z = f + 11; r = k + 17; m = u + 16; q = 7; p = r + 8; o = l + 10; d = p + 20. If q = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 2", "h": "a + 17", "w": "h + 8", "q": "w + 17", "j": "q + 2", "r": "j + 14", "u": "o + 16", "m": "u + 17", "t": "m + 10", "f": "t + 2", "n": "f + 14", "y": "n + 13", "o": 5}, "premises": {"o": 5}, "target": "r"}, "answer": {"steps": [["j", "q + 2", "q + 16"], ["q", "w + 17", "w + 33"], ["w", "h + 8", "h + 41"], ["h", "a + 17", "a + 58"], ["a", "o + 2", "o + 60"], ["o", 5, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"o": 5}, "is_reverse": true}} | 911 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 5; f = t + 2; j = q + 2; w = h + 8; q = w + 17; t = m + 10; n = f + 14; y = n + 13; m = u + 17; r = j + 14; h = a + 17; u = o + 16; a = o + 2. If o = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 2 to r, which gives r = q + 16.\n2. Substitute q = w + 17 to r, which gives r = w + 33.\n3. Substitute w = h + 8 to r, which gives r = h + 41.\n4. Substitute h = a + 17 to r, which gives r = a + 58.\n5. Substitute a = o + 2 to r, which gives r = o + 60.\n6. Substitute o = 5 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 911,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 5; f = t + 2; j = q + 2; w = h + 8; q = w + 17; t = m + 10; n = f + 14; y = n + 13; m = u + 17; r = j + 14; h = a + 17; u = o + 16; a = o + 2. If o = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 11", "a": "w + 19", "d": "a + 14", "i": "d + 11", "g": "i + 6", "f": "g + 9", "s": "l + 19", "h": "s + 3", "e": "h + 20", "z": "e + 11", "p": "z + 8", "b": "p + 18", "l": 12}, "premises": {"l": 12}, "target": "f"}, "answer": {"steps": [["w", "l + 11", 23], ["a", "w + 19", 42], ["d", "a + 14", 56], ["i", "d + 11", 67], ["g", "i + 6", 73], ["f", "g + 9", 82]], "target_var_name": "f", "target_value": 82, "value_dict": {"l": 12, "w": 23, "a": 42, "d": 56, "i": 67, "g": 73, "f": 82}, "is_reverse": false}} | 912 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 3; g = i + 6; f = g + 9; p = z + 8; z = e + 11; i = d + 11; a = w + 19; e = h + 20; d = a + 14; b = p + 18; l = 12; w = l + 11; s = l + 19. If l = 12, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = l + 11, which gives w = 23.\n2. Compute a using a = w + 19, which gives a = 42.\n3. Compute d using d = a + 14, which gives d = 56.\n4. Compute i using i = d + 11, which gives i = 67.\n5. Compute g using g = i + 6, which gives g = 73.\n6. Compute f using f = g + 9, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 912,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 3; g = i + 6; f = g + 9; p = z + 8; z = e + 11; i = d + 11; a = w + 19; e = h + 20; d = a + 14; b = p + 18; l = 12; w = l + 11; s = l + 19. If l = 12, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 16", "w": "i + 19", "t": "w + 9", "f": "t + 16", "c": "f + 18", "k": "c + 15", "g": "r + 2", "u": "g + 20", "l": "u + 8", "o": "l + 8", "s": "o + 13", "b": "s + 17", "r": 16}, "premises": {"r": 16}, "target": "k"}, "answer": {"steps": [["i", "r + 16", 32], ["w", "i + 19", 51], ["t", "w + 9", 60], ["f", "t + 16", 76], ["c", "f + 18", 94], ["k", "c + 15", 109]], "target_var_name": "k", "target_value": 109, "value_dict": {"r": 16, "i": 32, "w": 51, "t": 60, "f": 76, "c": 94, "k": 109}, "is_reverse": false}} | 913 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 15; f = t + 16; o = l + 8; u = g + 20; g = r + 2; s = o + 13; c = f + 18; l = u + 8; b = s + 17; t = w + 9; w = i + 19; r = 16; i = r + 16. Given that r = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = r + 16, which gives i = 32.\n2. Compute w using w = i + 19, which gives w = 51.\n3. Compute t using t = w + 9, which gives t = 60.\n4. Compute f using f = t + 16, which gives f = 76.\n5. Compute c using c = f + 18, which gives c = 94.\n6. Compute k using k = c + 15, which gives k = 109.\n\nThus, the final answer is k = \\boxed{109}.",
"index": 913,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 15; f = t + 16; o = l + 8; u = g + 20; g = r + 2; s = o + 13; c = f + 18; l = u + 8; b = s + 17; t = w + 9; w = i + 19; r = 16; i = r + 16. Given that r = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 2", "x": "j + 1", "z": "x + 7", "s": "z + 7", "w": "s + 12", "n": "w + 13", "d": "y + 10", "r": "d + 8", "f": "r + 12", "m": "f + 19", "t": "m + 9", "g": "t + 6", "y": 4}, "premises": {"y": 4}, "target": "n"}, "answer": {"steps": [["w", "s + 12", "s + 25"], ["s", "z + 7", "z + 32"], ["z", "x + 7", "x + 39"], ["x", "j + 1", "j + 40"], ["j", "y + 2", "y + 42"], ["y", 4, "46"]], "target_var_name": "n", "target_value": 46, "value_dict": {"y": 4}, "is_reverse": true}} | 914 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 7; y = 4; g = t + 6; x = j + 1; d = y + 10; n = w + 13; f = r + 12; r = d + 8; z = x + 7; t = m + 9; j = y + 2; m = f + 19; w = s + 12. Given that y = 4, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 12 to n, which gives n = s + 25.\n2. Substitute s = z + 7 to n, which gives n = z + 32.\n3. Substitute z = x + 7 to n, which gives n = x + 39.\n4. Substitute x = j + 1 to n, which gives n = j + 40.\n5. Substitute j = y + 2 to n, which gives n = y + 42.\n6. Substitute y = 4 to n, which gives n = 46.\n\nThus, the final answer is n = \\boxed{46}.",
"index": 914,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 7; y = 4; g = t + 6; x = j + 1; d = y + 10; n = w + 13; f = r + 12; r = d + 8; z = x + 7; t = m + 9; j = y + 2; m = f + 19; w = s + 12. Given that y = 4, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 14", "d": "z + 9", "c": "d + 5", "f": "c + 2", "j": "f + 2", "h": "j + 19", "i": "l + 17", "u": "i + 20", "k": "u + 2", "g": "k + 12", "s": "g + 7", "r": "s + 11", "l": 14}, "premises": {"l": 14}, "target": "h"}, "answer": {"steps": [["z", "l + 14", 28], ["d", "z + 9", 37], ["c", "d + 5", 42], ["f", "c + 2", 44], ["j", "f + 2", 46], ["h", "j + 19", 65]], "target_var_name": "h", "target_value": 65, "value_dict": {"l": 14, "z": 28, "d": 37, "c": 42, "f": 44, "j": 46, "h": 65}, "is_reverse": false}} | 915 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 20; s = g + 7; h = j + 19; i = l + 17; f = c + 2; c = d + 5; l = 14; z = l + 14; k = u + 2; r = s + 11; d = z + 9; j = f + 2; g = k + 12. If l = 14, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = l + 14, which gives z = 28.\n2. Compute d using d = z + 9, which gives d = 37.\n3. Compute c using c = d + 5, which gives c = 42.\n4. Compute f using f = c + 2, which gives f = 44.\n5. Compute j using j = f + 2, which gives j = 46.\n6. Compute h using h = j + 19, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 915,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 20; s = g + 7; h = j + 19; i = l + 17; f = c + 2; c = d + 5; l = 14; z = l + 14; k = u + 2; r = s + 11; d = z + 9; j = f + 2; g = k + 12. If l = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 18", "d": "a + 19", "z": "d + 7", "r": "z + 19", "m": "r + 4", "w": "m + 5", "x": "i + 4", "n": "x + 17", "b": "n + 13", "s": "b + 16", "g": "s + 7", "e": "g + 4", "i": 15}, "premises": {"i": 15}, "target": "w"}, "answer": {"steps": [["m", "r + 4", "r + 9"], ["r", "z + 19", "z + 28"], ["z", "d + 7", "d + 35"], ["d", "a + 19", "a + 54"], ["a", "i + 18", "i + 72"], ["i", 15, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"i": 15}, "is_reverse": true}} | 916 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 19; b = n + 13; e = g + 4; m = r + 4; z = d + 7; a = i + 18; x = i + 4; w = m + 5; n = x + 17; i = 15; s = b + 16; g = s + 7; r = z + 19. Given that i = 15, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 4 to w, which gives w = r + 9.\n2. Substitute r = z + 19 to w, which gives w = z + 28.\n3. Substitute z = d + 7 to w, which gives w = d + 35.\n4. Substitute d = a + 19 to w, which gives w = a + 54.\n5. Substitute a = i + 18 to w, which gives w = i + 72.\n6. Substitute i = 15 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 916,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 19; b = n + 13; e = g + 4; m = r + 4; z = d + 7; a = i + 18; x = i + 4; w = m + 5; n = x + 17; i = 15; s = b + 16; g = s + 7; r = z + 19. Given that i = 15, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 16", "r": "k + 20", "b": "r + 13", "n": "b + 1", "v": "n + 5", "m": "v + 8", "g": "j + 3", "f": "g + 14", "c": "f + 8", "e": "c + 12", "l": "e + 3", "q": "l + 19", "j": 5}, "premises": {"j": 5}, "target": "m"}, "answer": {"steps": [["v", "n + 5", "n + 13"], ["n", "b + 1", "b + 14"], ["b", "r + 13", "r + 27"], ["r", "k + 20", "k + 47"], ["k", "j + 16", "j + 63"], ["j", 5, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"j": 5}, "is_reverse": true}} | 917 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 19; r = k + 20; l = e + 3; e = c + 12; b = r + 13; j = 5; f = g + 14; k = j + 16; n = b + 1; c = f + 8; v = n + 5; g = j + 3; m = v + 8. If j = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 5 to m, which gives m = n + 13.\n2. Substitute n = b + 1 to m, which gives m = b + 14.\n3. Substitute b = r + 13 to m, which gives m = r + 27.\n4. Substitute r = k + 20 to m, which gives m = k + 47.\n5. Substitute k = j + 16 to m, which gives m = j + 63.\n6. Substitute j = 5 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 917,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 19; r = k + 20; l = e + 3; e = c + 12; b = r + 13; j = 5; f = g + 14; k = j + 16; n = b + 1; c = f + 8; v = n + 5; g = j + 3; m = v + 8. If j = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 19", "l": "z + 11", "o": "l + 3", "n": "o + 3", "e": "n + 16", "v": "e + 15", "a": "r + 20", "j": "a + 16", "t": "j + 1", "q": "t + 16", "p": "q + 5", "w": "p + 1", "r": 16}, "premises": {"r": 16}, "target": "v"}, "answer": {"steps": [["e", "n + 16", "n + 31"], ["n", "o + 3", "o + 34"], ["o", "l + 3", "l + 37"], ["l", "z + 11", "z + 48"], ["z", "r + 19", "r + 67"], ["r", 16, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"r": 16}, "is_reverse": true}} | 918 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 1; a = r + 20; z = r + 19; w = p + 1; r = 16; l = z + 11; v = e + 15; n = o + 3; e = n + 16; q = t + 16; j = a + 16; o = l + 3; p = q + 5. Given that r = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = n + 16 to v, which gives v = n + 31.\n2. Substitute n = o + 3 to v, which gives v = o + 34.\n3. Substitute o = l + 3 to v, which gives v = l + 37.\n4. Substitute l = z + 11 to v, which gives v = z + 48.\n5. Substitute z = r + 19 to v, which gives v = r + 67.\n6. Substitute r = 16 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 918,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 1; a = r + 20; z = r + 19; w = p + 1; r = 16; l = z + 11; v = e + 15; n = o + 3; e = n + 16; q = t + 16; j = a + 16; o = l + 3; p = q + 5. Given that r = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 10", "u": "h + 13", "g": "u + 7", "t": "g + 4", "z": "t + 3", "y": "z + 20", "l": "k + 15", "d": "l + 20", "m": "d + 4", "f": "m + 3", "b": "f + 18", "o": "b + 19", "k": 11}, "premises": {"k": 11}, "target": "y"}, "answer": {"steps": [["h", "k + 10", 21], ["u", "h + 13", 34], ["g", "u + 7", 41], ["t", "g + 4", 45], ["z", "t + 3", 48], ["y", "z + 20", 68]], "target_var_name": "y", "target_value": 68, "value_dict": {"k": 11, "h": 21, "u": 34, "g": 41, "t": 45, "z": 48, "y": 68}, "is_reverse": false}} | 919 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = z + 20; h = k + 10; m = d + 4; l = k + 15; o = b + 19; f = m + 3; t = g + 4; g = u + 7; z = t + 3; u = h + 13; d = l + 20; b = f + 18; k = 11. Given that k = 11, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = k + 10, which gives h = 21.\n2. Compute u using u = h + 13, which gives u = 34.\n3. Compute g using g = u + 7, which gives g = 41.\n4. Compute t using t = g + 4, which gives t = 45.\n5. Compute z using z = t + 3, which gives z = 48.\n6. Compute y using y = z + 20, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 919,
"question": "Suppose a collection of variables is related by the following definitions: y = z + 20; h = k + 10; m = d + 4; l = k + 15; o = b + 19; f = m + 3; t = g + 4; g = u + 7; z = t + 3; u = h + 13; d = l + 20; b = f + 18; k = 11. Given that k = 11, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 19", "v": "h + 7", "a": "v + 12", "b": "a + 3", "x": "b + 7", "c": "x + 20", "e": "f + 13", "j": "e + 14", "i": "j + 20", "g": "i + 12", "l": "g + 6", "y": "l + 3", "f": 17}, "premises": {"f": 17}, "target": "c"}, "answer": {"steps": [["h", "f + 19", 36], ["v", "h + 7", 43], ["a", "v + 12", 55], ["b", "a + 3", 58], ["x", "b + 7", 65], ["c", "x + 20", 85]], "target_var_name": "c", "target_value": 85, "value_dict": {"f": 17, "h": 36, "v": 43, "a": 55, "b": 58, "x": 65, "c": 85}, "is_reverse": false}} | 920 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 7; j = e + 14; g = i + 12; x = b + 7; a = v + 12; i = j + 20; y = l + 3; h = f + 19; b = a + 3; f = 17; l = g + 6; c = x + 20; e = f + 13. If f = 17, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = f + 19, which gives h = 36.\n2. Compute v using v = h + 7, which gives v = 43.\n3. Compute a using a = v + 12, which gives a = 55.\n4. Compute b using b = a + 3, which gives b = 58.\n5. Compute x using x = b + 7, which gives x = 65.\n6. Compute c using c = x + 20, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 920,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 7; j = e + 14; g = i + 12; x = b + 7; a = v + 12; i = j + 20; y = l + 3; h = f + 19; b = a + 3; f = 17; l = g + 6; c = x + 20; e = f + 13. If f = 17, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 20", "t": "r + 11", "f": "t + 16", "v": "f + 9", "l": "v + 1", "d": "l + 13", "i": "w + 6", "q": "i + 2", "c": "q + 8", "a": "c + 12", "s": "a + 18", "o": "s + 2", "w": 3}, "premises": {"w": 3}, "target": "d"}, "answer": {"steps": [["l", "v + 1", "v + 14"], ["v", "f + 9", "f + 23"], ["f", "t + 16", "t + 39"], ["t", "r + 11", "r + 50"], ["r", "w + 20", "w + 70"], ["w", 3, "73"]], "target_var_name": "d", "target_value": 73, "value_dict": {"w": 3}, "is_reverse": true}} | 921 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 11; o = s + 2; a = c + 12; f = t + 16; w = 3; q = i + 2; d = l + 13; v = f + 9; l = v + 1; s = a + 18; r = w + 20; i = w + 6; c = q + 8. Given that w = 3, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 1 to d, which gives d = v + 14.\n2. Substitute v = f + 9 to d, which gives d = f + 23.\n3. Substitute f = t + 16 to d, which gives d = t + 39.\n4. Substitute t = r + 11 to d, which gives d = r + 50.\n5. Substitute r = w + 20 to d, which gives d = w + 70.\n6. Substitute w = 3 to d, which gives d = 73.\n\nThus, the final answer is d = \\boxed{73}.",
"index": 921,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 11; o = s + 2; a = c + 12; f = t + 16; w = 3; q = i + 2; d = l + 13; v = f + 9; l = v + 1; s = a + 18; r = w + 20; i = w + 6; c = q + 8. Given that w = 3, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 8", "m": "r + 1", "f": "m + 11", "o": "f + 7", "t": "o + 7", "y": "t + 9", "p": "x + 19", "n": "p + 9", "i": "n + 2", "h": "i + 6", "u": "h + 18", "w": "u + 16", "x": 7}, "premises": {"x": 7}, "target": "y"}, "answer": {"steps": [["r", "x + 8", 15], ["m", "r + 1", 16], ["f", "m + 11", 27], ["o", "f + 7", 34], ["t", "o + 7", 41], ["y", "t + 9", 50]], "target_var_name": "y", "target_value": 50, "value_dict": {"x": 7, "r": 15, "m": 16, "f": 27, "o": 34, "t": 41, "y": 50}, "is_reverse": false}} | 922 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 19; n = p + 9; i = n + 2; m = r + 1; t = o + 7; y = t + 9; u = h + 18; o = f + 7; w = u + 16; h = i + 6; r = x + 8; x = 7; f = m + 11. Given that x = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = x + 8, which gives r = 15.\n2. Compute m using m = r + 1, which gives m = 16.\n3. Compute f using f = m + 11, which gives f = 27.\n4. Compute o using o = f + 7, which gives o = 34.\n5. Compute t using t = o + 7, which gives t = 41.\n6. Compute y using y = t + 9, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 922,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 19; n = p + 9; i = n + 2; m = r + 1; t = o + 7; y = t + 9; u = h + 18; o = f + 7; w = u + 16; h = i + 6; r = x + 8; x = 7; f = m + 11. Given that x = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 17", "f": "y + 12", "h": "f + 4", "s": "h + 8", "p": "s + 3", "j": "p + 9", "n": "k + 5", "o": "n + 10", "t": "o + 16", "e": "t + 7", "x": "e + 8", "i": "x + 12", "k": 16}, "premises": {"k": 16}, "target": "j"}, "answer": {"steps": [["p", "s + 3", "s + 12"], ["s", "h + 8", "h + 20"], ["h", "f + 4", "f + 24"], ["f", "y + 12", "y + 36"], ["y", "k + 17", "k + 53"], ["k", 16, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"k": 16}, "is_reverse": true}} | 923 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 16; n = k + 5; s = h + 8; i = x + 12; o = n + 10; t = o + 16; x = e + 8; j = p + 9; y = k + 17; e = t + 7; h = f + 4; p = s + 3; f = y + 12. Given that k = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 3 to j, which gives j = s + 12.\n2. Substitute s = h + 8 to j, which gives j = h + 20.\n3. Substitute h = f + 4 to j, which gives j = f + 24.\n4. Substitute f = y + 12 to j, which gives j = y + 36.\n5. Substitute y = k + 17 to j, which gives j = k + 53.\n6. Substitute k = 16 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 923,
"question": "Suppose a collection of variables is related by the following definitions: k = 16; n = k + 5; s = h + 8; i = x + 12; o = n + 10; t = o + 16; x = e + 8; j = p + 9; y = k + 17; e = t + 7; h = f + 4; p = s + 3; f = y + 12. Given that k = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 18", "f": "n + 4", "g": "f + 6", "s": "g + 20", "o": "s + 12", "w": "o + 16", "m": "b + 17", "y": "m + 2", "i": "y + 12", "v": "i + 19", "k": "v + 5", "z": "k + 18", "b": 20}, "premises": {"b": 20}, "target": "w"}, "answer": {"steps": [["n", "b + 18", 38], ["f", "n + 4", 42], ["g", "f + 6", 48], ["s", "g + 20", 68], ["o", "s + 12", 80], ["w", "o + 16", 96]], "target_var_name": "w", "target_value": 96, "value_dict": {"b": 20, "n": 38, "f": 42, "g": 48, "s": 68, "o": 80, "w": 96}, "is_reverse": false}} | 924 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 20; f = n + 4; k = v + 5; y = m + 2; m = b + 17; v = i + 19; n = b + 18; s = g + 20; o = s + 12; z = k + 18; w = o + 16; g = f + 6; i = y + 12. Given that b = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = b + 18, which gives n = 38.\n2. Compute f using f = n + 4, which gives f = 42.\n3. Compute g using g = f + 6, which gives g = 48.\n4. Compute s using s = g + 20, which gives s = 68.\n5. Compute o using o = s + 12, which gives o = 80.\n6. Compute w using w = o + 16, which gives w = 96.\n\nThus, the final answer is w = \\boxed{96}.",
"index": 924,
"question": "Suppose a collection of variables is related by the following definitions: b = 20; f = n + 4; k = v + 5; y = m + 2; m = b + 17; v = i + 19; n = b + 18; s = g + 20; o = s + 12; z = k + 18; w = o + 16; g = f + 6; i = y + 12. Given that b = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 12", "k": "w + 6", "e": "k + 6", "i": "e + 20", "u": "i + 18", "s": "u + 11", "b": "x + 4", "q": "b + 18", "l": "q + 9", "o": "l + 5", "a": "o + 17", "t": "a + 8", "x": 20}, "premises": {"x": 20}, "target": "s"}, "answer": {"steps": [["u", "i + 18", "i + 29"], ["i", "e + 20", "e + 49"], ["e", "k + 6", "k + 55"], ["k", "w + 6", "w + 61"], ["w", "x + 12", "x + 73"], ["x", 20, "93"]], "target_var_name": "s", "target_value": 93, "value_dict": {"x": 20}, "is_reverse": true}} | 925 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 6; t = a + 8; b = x + 4; q = b + 18; k = w + 6; a = o + 17; w = x + 12; i = e + 20; s = u + 11; x = 20; l = q + 9; o = l + 5; u = i + 18. If x = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 18 to s, which gives s = i + 29.\n2. Substitute i = e + 20 to s, which gives s = e + 49.\n3. Substitute e = k + 6 to s, which gives s = k + 55.\n4. Substitute k = w + 6 to s, which gives s = w + 61.\n5. Substitute w = x + 12 to s, which gives s = x + 73.\n6. Substitute x = 20 to s, which gives s = 93.\n\nThus, the final answer is s = \\boxed{93}.",
"index": 925,
"question": "Consider a system of variables where each variable is defined as follows: e = k + 6; t = a + 8; b = x + 4; q = b + 18; k = w + 6; a = o + 17; w = x + 12; i = e + 20; s = u + 11; x = 20; l = q + 9; o = l + 5; u = i + 18. If x = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 11", "w": "u + 13", "l": "w + 5", "y": "l + 11", "c": "y + 19", "b": "c + 20", "n": "r + 1", "j": "n + 10", "v": "j + 18", "z": "v + 4", "k": "z + 17", "f": "k + 8", "r": 14}, "premises": {"r": 14}, "target": "b"}, "answer": {"steps": [["c", "y + 19", "y + 39"], ["y", "l + 11", "l + 50"], ["l", "w + 5", "w + 55"], ["w", "u + 13", "u + 68"], ["u", "r + 11", "r + 79"], ["r", 14, "93"]], "target_var_name": "b", "target_value": 93, "value_dict": {"r": 14}, "is_reverse": true}} | 926 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 19; u = r + 11; v = j + 18; n = r + 1; l = w + 5; b = c + 20; j = n + 10; z = v + 4; y = l + 11; k = z + 17; f = k + 8; r = 14; w = u + 13. If r = 14, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 19 to b, which gives b = y + 39.\n2. Substitute y = l + 11 to b, which gives b = l + 50.\n3. Substitute l = w + 5 to b, which gives b = w + 55.\n4. Substitute w = u + 13 to b, which gives b = u + 68.\n5. Substitute u = r + 11 to b, which gives b = r + 79.\n6. Substitute r = 14 to b, which gives b = 93.\n\nThus, the final answer is b = \\boxed{93}.",
"index": 926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 19; u = r + 11; v = j + 18; n = r + 1; l = w + 5; b = c + 20; j = n + 10; z = v + 4; y = l + 11; k = z + 17; f = k + 8; r = 14; w = u + 13. If r = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 11", "n": "u + 5", "y": "n + 6", "d": "y + 17", "z": "d + 9", "a": "z + 10", "g": "m + 8", "v": "g + 3", "c": "v + 6", "l": "c + 4", "b": "l + 6", "s": "b + 3", "m": 4}, "premises": {"m": 4}, "target": "a"}, "answer": {"steps": [["u", "m + 11", 15], ["n", "u + 5", 20], ["y", "n + 6", 26], ["d", "y + 17", 43], ["z", "d + 9", 52], ["a", "z + 10", 62]], "target_var_name": "a", "target_value": 62, "value_dict": {"m": 4, "u": 15, "n": 20, "y": 26, "d": 43, "z": 52, "a": 62}, "is_reverse": false}} | 927 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 4; u = m + 11; z = d + 9; v = g + 3; y = n + 6; d = y + 17; a = z + 10; n = u + 5; l = c + 4; c = v + 6; s = b + 3; g = m + 8; b = l + 6. If m = 4, what is the resulting 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. Compute u using u = m + 11, which gives u = 15.\n2. Compute n using n = u + 5, which gives n = 20.\n3. Compute y using y = n + 6, which gives y = 26.\n4. Compute d using d = y + 17, which gives d = 43.\n5. Compute z using z = d + 9, which gives z = 52.\n6. Compute a using a = z + 10, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 4; u = m + 11; z = d + 9; v = g + 3; y = n + 6; d = y + 17; a = z + 10; n = u + 5; l = c + 4; c = v + 6; s = b + 3; g = m + 8; b = l + 6. If m = 4, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "z + 20", "x": "s + 11", "e": "x + 4", "m": "e + 10", "a": "m + 5", "d": "a + 13", "p": "z + 7", "o": "p + 1", "q": "o + 20", "r": "q + 9", "w": "r + 17", "h": "w + 19", "z": 7}, "premises": {"z": 7}, "target": "d"}, "answer": {"steps": [["s", "z + 20", 27], ["x", "s + 11", 38], ["e", "x + 4", 42], ["m", "e + 10", 52], ["a", "m + 5", 57], ["d", "a + 13", 70]], "target_var_name": "d", "target_value": 70, "value_dict": {"z": 7, "s": 27, "x": 38, "e": 42, "m": 52, "a": 57, "d": 70}, "is_reverse": false}} | 928 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 1; s = z + 20; a = m + 5; r = q + 9; z = 7; e = x + 4; m = e + 10; x = s + 11; h = w + 19; d = a + 13; q = o + 20; p = z + 7; w = r + 17. Given that z = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = z + 20, which gives s = 27.\n2. Compute x using x = s + 11, which gives x = 38.\n3. Compute e using e = x + 4, which gives e = 42.\n4. Compute m using m = e + 10, which gives m = 52.\n5. Compute a using a = m + 5, which gives a = 57.\n6. Compute d using d = a + 13, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 928,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 1; s = z + 20; a = m + 5; r = q + 9; z = 7; e = x + 4; m = e + 10; x = s + 11; h = w + 19; d = a + 13; q = o + 20; p = z + 7; w = r + 17. Given that z = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 14", "l": "w + 16", "o": "l + 5", "r": "o + 8", "e": "r + 19", "q": "e + 3", "z": "k + 15", "i": "z + 9", "p": "i + 19", "v": "p + 4", "y": "v + 20", "n": "y + 6", "k": 8}, "premises": {"k": 8}, "target": "q"}, "answer": {"steps": [["e", "r + 19", "r + 22"], ["r", "o + 8", "o + 30"], ["o", "l + 5", "l + 35"], ["l", "w + 16", "w + 51"], ["w", "k + 14", "k + 65"], ["k", 8, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"k": 8}, "is_reverse": true}} | 929 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 4; w = k + 14; k = 8; n = y + 6; i = z + 9; q = e + 3; y = v + 20; e = r + 19; o = l + 5; r = o + 8; p = i + 19; z = k + 15; l = w + 16. Given that k = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 19 to q, which gives q = r + 22.\n2. Substitute r = o + 8 to q, which gives q = o + 30.\n3. Substitute o = l + 5 to q, which gives q = l + 35.\n4. Substitute l = w + 16 to q, which gives q = w + 51.\n5. Substitute w = k + 14 to q, which gives q = k + 65.\n6. Substitute k = 8 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 929,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 4; w = k + 14; k = 8; n = y + 6; i = z + 9; q = e + 3; y = v + 20; e = r + 19; o = l + 5; r = o + 8; p = i + 19; z = k + 15; l = w + 16. Given that k = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 5", "e": "b + 6", "s": "e + 9", "m": "s + 1", "j": "m + 6", "n": "j + 17", "g": "y + 19", "o": "g + 15", "l": "o + 2", "r": "l + 10", "k": "r + 7", "h": "k + 20", "y": 1}, "premises": {"y": 1}, "target": "n"}, "answer": {"steps": [["j", "m + 6", "m + 23"], ["m", "s + 1", "s + 24"], ["s", "e + 9", "e + 33"], ["e", "b + 6", "b + 39"], ["b", "y + 5", "y + 44"], ["y", 1, "45"]], "target_var_name": "n", "target_value": 45, "value_dict": {"y": 1}, "is_reverse": true}} | 930 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 1; e = b + 6; m = s + 1; k = r + 7; o = g + 15; b = y + 5; j = m + 6; h = k + 20; r = l + 10; l = o + 2; n = j + 17; g = y + 19; s = e + 9. If y = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 6 to n, which gives n = m + 23.\n2. Substitute m = s + 1 to n, which gives n = s + 24.\n3. Substitute s = e + 9 to n, which gives n = e + 33.\n4. Substitute e = b + 6 to n, which gives n = b + 39.\n5. Substitute b = y + 5 to n, which gives n = y + 44.\n6. Substitute y = 1 to n, which gives n = 45.\n\nThus, the final answer is n = \\boxed{45}.",
"index": 930,
"question": "Consider a system of variables where each variable is defined as follows: y = 1; e = b + 6; m = s + 1; k = r + 7; o = g + 15; b = y + 5; j = m + 6; h = k + 20; r = l + 10; l = o + 2; n = j + 17; g = y + 19; s = e + 9. If y = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 16", "c": "d + 18", "l": "c + 15", "x": "l + 3", "j": "x + 9", "a": "j + 9", "v": "p + 4", "w": "v + 13", "z": "w + 11", "t": "z + 7", "e": "t + 1", "f": "e + 9", "p": 14}, "premises": {"p": 14}, "target": "a"}, "answer": {"steps": [["j", "x + 9", "x + 18"], ["x", "l + 3", "l + 21"], ["l", "c + 15", "c + 36"], ["c", "d + 18", "d + 54"], ["d", "p + 16", "p + 70"], ["p", 14, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"p": 14}, "is_reverse": true}} | 931 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 9; f = e + 9; a = j + 9; v = p + 4; p = 14; e = t + 1; d = p + 16; t = z + 7; l = c + 15; x = l + 3; z = w + 11; w = v + 13; c = d + 18. If p = 14, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 9 to a, which gives a = x + 18.\n2. Substitute x = l + 3 to a, which gives a = l + 21.\n3. Substitute l = c + 15 to a, which gives a = c + 36.\n4. Substitute c = d + 18 to a, which gives a = d + 54.\n5. Substitute d = p + 16 to a, which gives a = p + 70.\n6. Substitute p = 14 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = x + 9; f = e + 9; a = j + 9; v = p + 4; p = 14; e = t + 1; d = p + 16; t = z + 7; l = c + 15; x = l + 3; z = w + 11; w = v + 13; c = d + 18. If p = 14, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 2", "n": "l + 15", "t": "n + 11", "i": "t + 4", "k": "i + 15", "v": "k + 5", "p": "a + 1", "g": "p + 15", "m": "g + 19", "b": "m + 12", "j": "b + 3", "q": "j + 16", "a": 5}, "premises": {"a": 5}, "target": "v"}, "answer": {"steps": [["k", "i + 15", "i + 20"], ["i", "t + 4", "t + 24"], ["t", "n + 11", "n + 35"], ["n", "l + 15", "l + 50"], ["l", "a + 2", "a + 52"], ["a", 5, "57"]], "target_var_name": "v", "target_value": 57, "value_dict": {"a": 5}, "is_reverse": true}} | 932 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 2; b = m + 12; m = g + 19; i = t + 4; g = p + 15; q = j + 16; n = l + 15; k = i + 15; v = k + 5; j = b + 3; p = a + 1; t = n + 11; a = 5. Given that a = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 15 to v, which gives v = i + 20.\n2. Substitute i = t + 4 to v, which gives v = t + 24.\n3. Substitute t = n + 11 to v, which gives v = n + 35.\n4. Substitute n = l + 15 to v, which gives v = l + 50.\n5. Substitute l = a + 2 to v, which gives v = a + 52.\n6. Substitute a = 5 to v, which gives v = 57.\n\nThus, the final answer is v = \\boxed{57}.",
"index": 932,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 2; b = m + 12; m = g + 19; i = t + 4; g = p + 15; q = j + 16; n = l + 15; k = i + 15; v = k + 5; j = b + 3; p = a + 1; t = n + 11; a = 5. Given that a = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "r + 16", "m": "z + 16", "w": "m + 17", "y": "w + 11", "p": "y + 2", "k": "p + 20", "d": "r + 13", "h": "d + 5", "x": "h + 16", "v": "x + 2", "u": "v + 6", "o": "u + 12", "r": 1}, "premises": {"r": 1}, "target": "k"}, "answer": {"steps": [["z", "r + 16", 17], ["m", "z + 16", 33], ["w", "m + 17", 50], ["y", "w + 11", 61], ["p", "y + 2", 63], ["k", "p + 20", 83]], "target_var_name": "k", "target_value": 83, "value_dict": {"r": 1, "z": 17, "m": 33, "w": 50, "y": 61, "p": 63, "k": 83}, "is_reverse": false}} | 933 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 6; d = r + 13; y = w + 11; w = m + 17; m = z + 16; o = u + 12; v = x + 2; p = y + 2; z = r + 16; k = p + 20; h = d + 5; r = 1; x = h + 16. If r = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = r + 16, which gives z = 17.\n2. Compute m using m = z + 16, which gives m = 33.\n3. Compute w using w = m + 17, which gives w = 50.\n4. Compute y using y = w + 11, which gives y = 61.\n5. Compute p using p = y + 2, which gives p = 63.\n6. Compute k using k = p + 20, which gives k = 83.\n\nThus, the final answer is k = \\boxed{83}.",
"index": 933,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 6; d = r + 13; y = w + 11; w = m + 17; m = z + 16; o = u + 12; v = x + 2; p = y + 2; z = r + 16; k = p + 20; h = d + 5; r = 1; x = h + 16. If r = 1, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 6", "n": "m + 11", "f": "n + 9", "b": "f + 1", "r": "b + 7", "x": "r + 7", "o": "v + 18", "u": "o + 11", "a": "u + 13", "j": "a + 9", "t": "j + 8", "p": "t + 15", "v": 13}, "premises": {"v": 13}, "target": "x"}, "answer": {"steps": [["m", "v + 6", 19], ["n", "m + 11", 30], ["f", "n + 9", 39], ["b", "f + 1", 40], ["r", "b + 7", 47], ["x", "r + 7", 54]], "target_var_name": "x", "target_value": 54, "value_dict": {"v": 13, "m": 19, "n": 30, "f": 39, "b": 40, "r": 47, "x": 54}, "is_reverse": false}} | 934 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 1; f = n + 9; n = m + 11; m = v + 6; p = t + 15; o = v + 18; a = u + 13; j = a + 9; v = 13; t = j + 8; r = b + 7; u = o + 11; x = r + 7. Given that v = 13, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = v + 6, which gives m = 19.\n2. Compute n using n = m + 11, which gives n = 30.\n3. Compute f using f = n + 9, which gives f = 39.\n4. Compute b using b = f + 1, which gives b = 40.\n5. Compute r using r = b + 7, which gives r = 47.\n6. Compute x using x = r + 7, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 934,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 1; f = n + 9; n = m + 11; m = v + 6; p = t + 15; o = v + 18; a = u + 13; j = a + 9; v = 13; t = j + 8; r = b + 7; u = o + 11; x = r + 7. Given that v = 13, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 5", "h": "c + 7", "w": "h + 16", "z": "w + 2", "d": "z + 12", "j": "d + 19", "g": "f + 12", "u": "g + 5", "l": "u + 6", "k": "l + 9", "s": "k + 1", "b": "s + 1", "f": 13}, "premises": {"f": 13}, "target": "j"}, "answer": {"steps": [["d", "z + 12", "z + 31"], ["z", "w + 2", "w + 33"], ["w", "h + 16", "h + 49"], ["h", "c + 7", "c + 56"], ["c", "f + 5", "f + 61"], ["f", 13, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"f": 13}, "is_reverse": true}} | 935 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 13; w = h + 16; d = z + 12; z = w + 2; g = f + 12; b = s + 1; u = g + 5; j = d + 19; k = l + 9; c = f + 5; h = c + 7; l = u + 6; s = k + 1. Given that f = 13, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 12 to j, which gives j = z + 31.\n2. Substitute z = w + 2 to j, which gives j = w + 33.\n3. Substitute w = h + 16 to j, which gives j = h + 49.\n4. Substitute h = c + 7 to j, which gives j = c + 56.\n5. Substitute c = f + 5 to j, which gives j = f + 61.\n6. Substitute f = 13 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 935,
"question": "Suppose a collection of variables is related by the following definitions: f = 13; w = h + 16; d = z + 12; z = w + 2; g = f + 12; b = s + 1; u = g + 5; j = d + 19; k = l + 9; c = f + 5; h = c + 7; l = u + 6; s = k + 1. Given that f = 13, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"w": "s + 10", "v": "w + 6", "y": "v + 3", "i": "y + 8", "g": "i + 12", "r": "g + 8", "c": "s + 5", "e": "c + 10", "k": "e + 14", "l": "k + 8", "q": "l + 10", "t": "q + 6", "s": 1}, "premises": {"s": 1}, "target": "r"}, "answer": {"steps": [["g", "i + 12", "i + 20"], ["i", "y + 8", "y + 28"], ["y", "v + 3", "v + 31"], ["v", "w + 6", "w + 37"], ["w", "s + 10", "s + 47"], ["s", 1, "48"]], "target_var_name": "r", "target_value": 48, "value_dict": {"s": 1}, "is_reverse": true}} | 936 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 12; t = q + 6; i = y + 8; l = k + 8; y = v + 3; k = e + 14; s = 1; w = s + 10; e = c + 10; q = l + 10; r = g + 8; v = w + 6; c = s + 5. Given that s = 1, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 12 to r, which gives r = i + 20.\n2. Substitute i = y + 8 to r, which gives r = y + 28.\n3. Substitute y = v + 3 to r, which gives r = v + 31.\n4. Substitute v = w + 6 to r, which gives r = w + 37.\n5. Substitute w = s + 10 to r, which gives r = s + 47.\n6. Substitute s = 1 to r, which gives r = 48.\n\nThus, the final answer is r = \\boxed{48}.",
"index": 936,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 12; t = q + 6; i = y + 8; l = k + 8; y = v + 3; k = e + 14; s = 1; w = s + 10; e = c + 10; q = l + 10; r = g + 8; v = w + 6; c = s + 5. Given that s = 1, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 7", "s": "r + 19", "t": "s + 14", "h": "t + 20", "z": "h + 10", "o": "z + 14", "b": "w + 14", "g": "b + 15", "k": "g + 6", "m": "k + 16", "q": "m + 12", "u": "q + 4", "w": 14}, "premises": {"w": 14}, "target": "o"}, "answer": {"steps": [["z", "h + 10", "h + 24"], ["h", "t + 20", "t + 44"], ["t", "s + 14", "s + 58"], ["s", "r + 19", "r + 77"], ["r", "w + 7", "w + 84"], ["w", 14, "98"]], "target_var_name": "o", "target_value": 98, "value_dict": {"w": 14}, "is_reverse": true}} | 937 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 4; o = z + 14; m = k + 16; q = m + 12; b = w + 14; t = s + 14; w = 14; s = r + 19; h = t + 20; z = h + 10; k = g + 6; g = b + 15; r = w + 7. If w = 14, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 10 to o, which gives o = h + 24.\n2. Substitute h = t + 20 to o, which gives o = t + 44.\n3. Substitute t = s + 14 to o, which gives o = s + 58.\n4. Substitute s = r + 19 to o, which gives o = r + 77.\n5. Substitute r = w + 7 to o, which gives o = w + 84.\n6. Substitute w = 14 to o, which gives o = 98.\n\nThus, the final answer is o = \\boxed{98}.",
"index": 937,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 4; o = z + 14; m = k + 16; q = m + 12; b = w + 14; t = s + 14; w = 14; s = r + 19; h = t + 20; z = h + 10; k = g + 6; g = b + 15; r = w + 7. If w = 14, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 6", "n": "p + 20", "b": "n + 5", "q": "b + 18", "j": "q + 4", "e": "j + 3", "k": "l + 18", "h": "k + 9", "z": "h + 19", "c": "z + 17", "u": "c + 15", "m": "u + 8", "l": 9}, "premises": {"l": 9}, "target": "e"}, "answer": {"steps": [["p", "l + 6", 15], ["n", "p + 20", 35], ["b", "n + 5", 40], ["q", "b + 18", 58], ["j", "q + 4", 62], ["e", "j + 3", 65]], "target_var_name": "e", "target_value": 65, "value_dict": {"l": 9, "p": 15, "n": 35, "b": 40, "q": 58, "j": 62, "e": 65}, "is_reverse": false}} | 938 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 19; q = b + 18; u = c + 15; l = 9; p = l + 6; m = u + 8; j = q + 4; e = j + 3; n = p + 20; k = l + 18; b = n + 5; c = z + 17; h = k + 9. Given that l = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = l + 6, which gives p = 15.\n2. Compute n using n = p + 20, which gives n = 35.\n3. Compute b using b = n + 5, which gives b = 40.\n4. Compute q using q = b + 18, which gives q = 58.\n5. Compute j using j = q + 4, which gives j = 62.\n6. Compute e using e = j + 3, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 938,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 19; q = b + 18; u = c + 15; l = 9; p = l + 6; m = u + 8; j = q + 4; e = j + 3; n = p + 20; k = l + 18; b = n + 5; c = z + 17; h = k + 9. Given that l = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 7", "l": "o + 14", "t": "l + 17", "s": "t + 17", "k": "s + 16", "b": "k + 10", "z": "i + 6", "a": "z + 12", "u": "a + 10", "m": "u + 4", "n": "m + 11", "w": "n + 18", "i": 7}, "premises": {"i": 7}, "target": "b"}, "answer": {"steps": [["k", "s + 16", "s + 26"], ["s", "t + 17", "t + 43"], ["t", "l + 17", "l + 60"], ["l", "o + 14", "o + 74"], ["o", "i + 7", "i + 81"], ["i", 7, "88"]], "target_var_name": "b", "target_value": 88, "value_dict": {"i": 7}, "is_reverse": true}} | 939 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 4; w = n + 18; u = a + 10; t = l + 17; o = i + 7; b = k + 10; i = 7; s = t + 17; z = i + 6; l = o + 14; a = z + 12; n = m + 11; k = s + 16. If i = 7, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = s + 16 to b, which gives b = s + 26.\n2. Substitute s = t + 17 to b, which gives b = t + 43.\n3. Substitute t = l + 17 to b, which gives b = l + 60.\n4. Substitute l = o + 14 to b, which gives b = o + 74.\n5. Substitute o = i + 7 to b, which gives b = i + 81.\n6. Substitute i = 7 to b, which gives b = 88.\n\nThus, the final answer is b = \\boxed{88}.",
"index": 939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 4; w = n + 18; u = a + 10; t = l + 17; o = i + 7; b = k + 10; i = 7; s = t + 17; z = i + 6; l = o + 14; a = z + 12; n = m + 11; k = s + 16. If i = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 3", "j": "g + 9", "u": "j + 15", "y": "u + 12", "t": "y + 17", "i": "t + 20", "x": "f + 9", "w": "x + 4", "v": "w + 9", "p": "v + 13", "h": "p + 16", "a": "h + 20", "f": 3}, "premises": {"f": 3}, "target": "i"}, "answer": {"steps": [["g", "f + 3", 6], ["j", "g + 9", 15], ["u", "j + 15", 30], ["y", "u + 12", 42], ["t", "y + 17", 59], ["i", "t + 20", 79]], "target_var_name": "i", "target_value": 79, "value_dict": {"f": 3, "g": 6, "j": 15, "u": 30, "y": 42, "t": 59, "i": 79}, "is_reverse": false}} | 940 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 20; j = g + 9; u = j + 15; h = p + 16; a = h + 20; v = w + 9; t = y + 17; y = u + 12; w = x + 4; x = f + 9; p = v + 13; g = f + 3; f = 3. If f = 3, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = f + 3, which gives g = 6.\n2. Compute j using j = g + 9, which gives j = 15.\n3. Compute u using u = j + 15, which gives u = 30.\n4. Compute y using y = u + 12, which gives y = 42.\n5. Compute t using t = y + 17, which gives t = 59.\n6. Compute i using i = t + 20, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 940,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 20; j = g + 9; u = j + 15; h = p + 16; a = h + 20; v = w + 9; t = y + 17; y = u + 12; w = x + 4; x = f + 9; p = v + 13; g = f + 3; f = 3. If f = 3, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 19", "n": "w + 7", "l": "n + 2", "m": "l + 2", "i": "m + 3", "t": "i + 4", "y": "u + 9", "r": "y + 14", "d": "r + 8", "p": "d + 1", "j": "p + 7", "q": "j + 1", "u": 11}, "premises": {"u": 11}, "target": "t"}, "answer": {"steps": [["i", "m + 3", "m + 7"], ["m", "l + 2", "l + 9"], ["l", "n + 2", "n + 11"], ["n", "w + 7", "w + 18"], ["w", "u + 19", "u + 37"], ["u", 11, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"u": 11}, "is_reverse": true}} | 941 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 4; w = u + 19; p = d + 1; r = y + 14; l = n + 2; d = r + 8; u = 11; i = m + 3; j = p + 7; m = l + 2; y = u + 9; q = j + 1; n = w + 7. If u = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 3 to t, which gives t = m + 7.\n2. Substitute m = l + 2 to t, which gives t = l + 9.\n3. Substitute l = n + 2 to t, which gives t = n + 11.\n4. Substitute n = w + 7 to t, which gives t = w + 18.\n5. Substitute w = u + 19 to t, which gives t = u + 37.\n6. Substitute u = 11 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 941,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 4; w = u + 19; p = d + 1; r = y + 14; l = n + 2; d = r + 8; u = 11; i = m + 3; j = p + 7; m = l + 2; y = u + 9; q = j + 1; n = w + 7. If u = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 11", "d": "z + 6", "c": "d + 4", "o": "c + 15", "m": "o + 5", "q": "m + 12", "i": "v + 17", "e": "i + 17", "s": "e + 5", "w": "s + 13", "g": "w + 6", "y": "g + 4", "v": 4}, "premises": {"v": 4}, "target": "q"}, "answer": {"steps": [["m", "o + 5", "o + 17"], ["o", "c + 15", "c + 32"], ["c", "d + 4", "d + 36"], ["d", "z + 6", "z + 42"], ["z", "v + 11", "v + 53"], ["v", 4, "57"]], "target_var_name": "q", "target_value": 57, "value_dict": {"v": 4}, "is_reverse": true}} | 942 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 4; e = i + 17; c = d + 4; z = v + 11; s = e + 5; g = w + 6; q = m + 12; m = o + 5; i = v + 17; v = 4; o = c + 15; d = z + 6; w = s + 13. If v = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 5 to q, which gives q = o + 17.\n2. Substitute o = c + 15 to q, which gives q = c + 32.\n3. Substitute c = d + 4 to q, which gives q = d + 36.\n4. Substitute d = z + 6 to q, which gives q = z + 42.\n5. Substitute z = v + 11 to q, which gives q = v + 53.\n6. Substitute v = 4 to q, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 4; e = i + 17; c = d + 4; z = v + 11; s = e + 5; g = w + 6; q = m + 12; m = o + 5; i = v + 17; v = 4; o = c + 15; d = z + 6; w = s + 13. If v = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 9", "j": "p + 4", "t": "j + 15", "n": "t + 2", "a": "n + 6", "l": "a + 8", "o": "g + 16", "r": "o + 7", "m": "r + 16", "b": "m + 14", "s": "b + 13", "e": "s + 12", "g": 18}, "premises": {"g": 18}, "target": "l"}, "answer": {"steps": [["p", "g + 9", 27], ["j", "p + 4", 31], ["t", "j + 15", 46], ["n", "t + 2", 48], ["a", "n + 6", 54], ["l", "a + 8", 62]], "target_var_name": "l", "target_value": 62, "value_dict": {"g": 18, "p": 27, "j": 31, "t": 46, "n": 48, "a": 54, "l": 62}, "is_reverse": false}} | 943 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = n + 6; g = 18; l = a + 8; p = g + 9; r = o + 7; m = r + 16; j = p + 4; b = m + 14; e = s + 12; n = t + 2; t = j + 15; s = b + 13; o = g + 16. If g = 18, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = g + 9, which gives p = 27.\n2. Compute j using j = p + 4, which gives j = 31.\n3. Compute t using t = j + 15, which gives t = 46.\n4. Compute n using n = t + 2, which gives n = 48.\n5. Compute a using a = n + 6, which gives a = 54.\n6. Compute l using l = a + 8, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 943,
"question": "Consider a system of variables where each variable is defined as follows: a = n + 6; g = 18; l = a + 8; p = g + 9; r = o + 7; m = r + 16; j = p + 4; b = m + 14; e = s + 12; n = t + 2; t = j + 15; s = b + 13; o = g + 16. If g = 18, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 18", "a": "w + 18", "y": "a + 15", "u": "y + 9", "i": "u + 9", "q": "i + 3", "z": "b + 12", "h": "z + 18", "c": "h + 6", "v": "c + 17", "e": "v + 16", "n": "e + 2", "b": 12}, "premises": {"b": 12}, "target": "q"}, "answer": {"steps": [["w", "b + 18", 30], ["a", "w + 18", 48], ["y", "a + 15", 63], ["u", "y + 9", 72], ["i", "u + 9", 81], ["q", "i + 3", 84]], "target_var_name": "q", "target_value": 84, "value_dict": {"b": 12, "w": 30, "a": 48, "y": 63, "u": 72, "i": 81, "q": 84}, "is_reverse": false}} | 944 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 17; h = z + 18; i = u + 9; u = y + 9; c = h + 6; y = a + 15; b = 12; a = w + 18; z = b + 12; n = e + 2; e = v + 16; w = b + 18; q = i + 3. If b = 12, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = b + 18, which gives w = 30.\n2. Compute a using a = w + 18, which gives a = 48.\n3. Compute y using y = a + 15, which gives y = 63.\n4. Compute u using u = y + 9, which gives u = 72.\n5. Compute i using i = u + 9, which gives i = 81.\n6. Compute q using q = i + 3, which gives q = 84.\n\nThus, the final answer is q = \\boxed{84}.",
"index": 944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 17; h = z + 18; i = u + 9; u = y + 9; c = h + 6; y = a + 15; b = 12; a = w + 18; z = b + 12; n = e + 2; e = v + 16; w = b + 18; q = i + 3. If b = 12, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 10", "f": "j + 4", "k": "f + 5", "b": "k + 7", "n": "b + 5", "r": "n + 13", "y": "z + 14", "v": "y + 8", "s": "v + 3", "p": "s + 15", "w": "p + 15", "e": "w + 14", "z": 8}, "premises": {"z": 8}, "target": "r"}, "answer": {"steps": [["j", "z + 10", 18], ["f", "j + 4", 22], ["k", "f + 5", 27], ["b", "k + 7", 34], ["n", "b + 5", 39], ["r", "n + 13", 52]], "target_var_name": "r", "target_value": 52, "value_dict": {"z": 8, "j": 18, "f": 22, "k": 27, "b": 34, "n": 39, "r": 52}, "is_reverse": false}} | 945 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = y + 8; k = f + 5; j = z + 10; b = k + 7; e = w + 14; s = v + 3; p = s + 15; r = n + 13; n = b + 5; w = p + 15; z = 8; y = z + 14; f = j + 4. If z = 8, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = z + 10, which gives j = 18.\n2. Compute f using f = j + 4, which gives f = 22.\n3. Compute k using k = f + 5, which gives k = 27.\n4. Compute b using b = k + 7, which gives b = 34.\n5. Compute n using n = b + 5, which gives n = 39.\n6. Compute r using r = n + 13, which gives r = 52.\n\nThus, the final answer is r = \\boxed{52}.",
"index": 945,
"question": "Consider a system of variables where each variable is defined as follows: v = y + 8; k = f + 5; j = z + 10; b = k + 7; e = w + 14; s = v + 3; p = s + 15; r = n + 13; n = b + 5; w = p + 15; z = 8; y = z + 14; f = j + 4. If z = 8, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 20", "s": "j + 12", "h": "s + 5", "d": "h + 11", "o": "d + 15", "c": "o + 9", "m": "u + 16", "b": "m + 3", "f": "b + 19", "z": "f + 13", "g": "z + 12", "a": "g + 19", "u": 16}, "premises": {"u": 16}, "target": "c"}, "answer": {"steps": [["o", "d + 15", "d + 24"], ["d", "h + 11", "h + 35"], ["h", "s + 5", "s + 40"], ["s", "j + 12", "j + 52"], ["j", "u + 20", "u + 72"], ["u", 16, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"u": 16}, "is_reverse": true}} | 946 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 11; j = u + 20; u = 16; g = z + 12; c = o + 9; s = j + 12; h = s + 5; a = g + 19; o = d + 15; f = b + 19; z = f + 13; m = u + 16; b = m + 3. If u = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 15 to c, which gives c = d + 24.\n2. Substitute d = h + 11 to c, which gives c = h + 35.\n3. Substitute h = s + 5 to c, which gives c = s + 40.\n4. Substitute s = j + 12 to c, which gives c = j + 52.\n5. Substitute j = u + 20 to c, which gives c = u + 72.\n6. Substitute u = 16 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 946,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 11; j = u + 20; u = 16; g = z + 12; c = o + 9; s = j + 12; h = s + 5; a = g + 19; o = d + 15; f = b + 19; z = f + 13; m = u + 16; b = m + 3. If u = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 20", "z": "e + 11", "k": "z + 3", "l": "k + 10", "p": "l + 19", "o": "p + 5", "c": "s + 13", "q": "c + 5", "m": "q + 8", "x": "m + 13", "h": "x + 2", "r": "h + 13", "s": 4}, "premises": {"s": 4}, "target": "o"}, "answer": {"steps": [["e", "s + 20", 24], ["z", "e + 11", 35], ["k", "z + 3", 38], ["l", "k + 10", 48], ["p", "l + 19", 67], ["o", "p + 5", 72]], "target_var_name": "o", "target_value": 72, "value_dict": {"s": 4, "e": 24, "z": 35, "k": 38, "l": 48, "p": 67, "o": 72}, "is_reverse": false}} | 947 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = s + 13; e = s + 20; l = k + 10; s = 4; q = c + 5; h = x + 2; p = l + 19; z = e + 11; m = q + 8; r = h + 13; o = p + 5; k = z + 3; x = m + 13. If s = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = s + 20, which gives e = 24.\n2. Compute z using z = e + 11, which gives z = 35.\n3. Compute k using k = z + 3, which gives k = 38.\n4. Compute l using l = k + 10, which gives l = 48.\n5. Compute p using p = l + 19, which gives p = 67.\n6. Compute o using o = p + 5, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 947,
"question": "Consider a system of variables where each variable is defined as follows: c = s + 13; e = s + 20; l = k + 10; s = 4; q = c + 5; h = x + 2; p = l + 19; z = e + 11; m = q + 8; r = h + 13; o = p + 5; k = z + 3; x = m + 13. If s = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 3", "n": "y + 15", "m": "n + 12", "d": "m + 4", "x": "d + 8", "r": "x + 11", "c": "p + 1", "j": "c + 8", "v": "j + 8", "t": "v + 12", "o": "t + 15", "f": "o + 11", "p": 10}, "premises": {"p": 10}, "target": "r"}, "answer": {"steps": [["x", "d + 8", "d + 19"], ["d", "m + 4", "m + 23"], ["m", "n + 12", "n + 35"], ["n", "y + 15", "y + 50"], ["y", "p + 3", "p + 53"], ["p", 10, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"p": 10}, "is_reverse": true}} | 948 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 15; f = o + 11; v = j + 8; t = v + 12; x = d + 8; p = 10; m = n + 12; d = m + 4; y = p + 3; c = p + 1; o = t + 15; r = x + 11; j = c + 8. If p = 10, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 8 to r, which gives r = d + 19.\n2. Substitute d = m + 4 to r, which gives r = m + 23.\n3. Substitute m = n + 12 to r, which gives r = n + 35.\n4. Substitute n = y + 15 to r, which gives r = y + 50.\n5. Substitute y = p + 3 to r, which gives r = p + 53.\n6. Substitute p = 10 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 15; f = o + 11; v = j + 8; t = v + 12; x = d + 8; p = 10; m = n + 12; d = m + 4; y = p + 3; c = p + 1; o = t + 15; r = x + 11; j = c + 8. If p = 10, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"h": "p + 7", "i": "h + 11", "m": "i + 11", "d": "m + 11", "x": "d + 11", "q": "x + 20", "o": "p + 4", "r": "o + 14", "w": "r + 14", "s": "w + 5", "e": "s + 18", "b": "e + 14", "p": 5}, "premises": {"p": 5}, "target": "q"}, "answer": {"steps": [["h", "p + 7", 12], ["i", "h + 11", 23], ["m", "i + 11", 34], ["d", "m + 11", 45], ["x", "d + 11", 56], ["q", "x + 20", 76]], "target_var_name": "q", "target_value": 76, "value_dict": {"p": 5, "h": 12, "i": 23, "m": 34, "d": 45, "x": 56, "q": 76}, "is_reverse": false}} | 949 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 14; m = i + 11; d = m + 11; e = s + 18; w = r + 14; h = p + 7; q = x + 20; i = h + 11; b = e + 14; s = w + 5; o = p + 4; x = d + 11; p = 5. If p = 5, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = p + 7, which gives h = 12.\n2. Compute i using i = h + 11, which gives i = 23.\n3. Compute m using m = i + 11, which gives m = 34.\n4. Compute d using d = m + 11, which gives d = 45.\n5. Compute x using x = d + 11, which gives x = 56.\n6. Compute q using q = x + 20, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 14; m = i + 11; d = m + 11; e = s + 18; w = r + 14; h = p + 7; q = x + 20; i = h + 11; b = e + 14; s = w + 5; o = p + 4; x = d + 11; p = 5. If p = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 6", "q": "w + 8", "v": "q + 12", "o": "v + 7", "n": "o + 6", "z": "n + 7", "r": "h + 1", "t": "r + 8", "j": "t + 4", "m": "j + 14", "g": "m + 18", "x": "g + 20", "h": 7}, "premises": {"h": 7}, "target": "z"}, "answer": {"steps": [["n", "o + 6", "o + 13"], ["o", "v + 7", "v + 20"], ["v", "q + 12", "q + 32"], ["q", "w + 8", "w + 40"], ["w", "h + 6", "h + 46"], ["h", 7, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"h": 7}, "is_reverse": true}} | 950 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 14; r = h + 1; x = g + 20; q = w + 8; g = m + 18; j = t + 4; n = o + 6; z = n + 7; h = 7; w = h + 6; o = v + 7; t = r + 8; v = q + 12. If h = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 6 to z, which gives z = o + 13.\n2. Substitute o = v + 7 to z, which gives z = v + 20.\n3. Substitute v = q + 12 to z, which gives z = q + 32.\n4. Substitute q = w + 8 to z, which gives z = w + 40.\n5. Substitute w = h + 6 to z, which gives z = h + 46.\n6. Substitute h = 7 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = j + 14; r = h + 1; x = g + 20; q = w + 8; g = m + 18; j = t + 4; n = o + 6; z = n + 7; h = 7; w = h + 6; o = v + 7; t = r + 8; v = q + 12. If h = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 18", "o": "v + 1", "j": "o + 9", "c": "j + 16", "x": "c + 5", "w": "x + 19", "b": "u + 11", "s": "b + 17", "f": "s + 20", "t": "f + 7", "l": "t + 8", "m": "l + 10", "u": 1}, "premises": {"u": 1}, "target": "w"}, "answer": {"steps": [["x", "c + 5", "c + 24"], ["c", "j + 16", "j + 40"], ["j", "o + 9", "o + 49"], ["o", "v + 1", "v + 50"], ["v", "u + 18", "u + 68"], ["u", 1, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"u": 1}, "is_reverse": true}} | 951 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 20; v = u + 18; m = l + 10; x = c + 5; u = 1; c = j + 16; s = b + 17; l = t + 8; b = u + 11; o = v + 1; j = o + 9; t = f + 7; w = x + 19. If u = 1, what is the resulting 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 x = c + 5 to w, which gives w = c + 24.\n2. Substitute c = j + 16 to w, which gives w = j + 40.\n3. Substitute j = o + 9 to w, which gives w = o + 49.\n4. Substitute o = v + 1 to w, which gives w = v + 50.\n5. Substitute v = u + 18 to w, which gives w = u + 68.\n6. Substitute u = 1 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = s + 20; v = u + 18; m = l + 10; x = c + 5; u = 1; c = j + 16; s = b + 17; l = t + 8; b = u + 11; o = v + 1; j = o + 9; t = f + 7; w = x + 19. If u = 1, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 5", "f": "d + 10", "c": "f + 9", "i": "c + 11", "p": "i + 3", "u": "p + 7", "r": "s + 6", "n": "r + 20", "x": "n + 11", "e": "x + 10", "b": "e + 5", "a": "b + 7", "s": 4}, "premises": {"s": 4}, "target": "u"}, "answer": {"steps": [["d", "s + 5", 9], ["f", "d + 10", 19], ["c", "f + 9", 28], ["i", "c + 11", 39], ["p", "i + 3", 42], ["u", "p + 7", 49]], "target_var_name": "u", "target_value": 49, "value_dict": {"s": 4, "d": 9, "f": 19, "c": 28, "i": 39, "p": 42, "u": 49}, "is_reverse": false}} | 952 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 6; i = c + 11; a = b + 7; e = x + 10; x = n + 11; b = e + 5; c = f + 9; u = p + 7; p = i + 3; d = s + 5; f = d + 10; s = 4; n = r + 20. Given that s = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = s + 5, which gives d = 9.\n2. Compute f using f = d + 10, which gives f = 19.\n3. Compute c using c = f + 9, which gives c = 28.\n4. Compute i using i = c + 11, which gives i = 39.\n5. Compute p using p = i + 3, which gives p = 42.\n6. Compute u using u = p + 7, which gives u = 49.\n\nThus, the final answer is u = \\boxed{49}.",
"index": 952,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 6; i = c + 11; a = b + 7; e = x + 10; x = n + 11; b = e + 5; c = f + 9; u = p + 7; p = i + 3; d = s + 5; f = d + 10; s = 4; n = r + 20. Given that s = 4, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 6", "w": "e + 3", "x": "w + 4", "l": "x + 4", "q": "l + 12", "n": "q + 8", "z": "t + 2", "j": "z + 1", "c": "j + 3", "u": "c + 11", "o": "u + 8", "k": "o + 19", "t": 2}, "premises": {"t": 2}, "target": "n"}, "answer": {"steps": [["e", "t + 6", 8], ["w", "e + 3", 11], ["x", "w + 4", 15], ["l", "x + 4", 19], ["q", "l + 12", 31], ["n", "q + 8", 39]], "target_var_name": "n", "target_value": 39, "value_dict": {"t": 2, "e": 8, "w": 11, "x": 15, "l": 19, "q": 31, "n": 39}, "is_reverse": false}} | 953 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 2; z = t + 2; o = u + 8; c = j + 3; u = c + 11; l = x + 4; e = t + 6; x = w + 4; w = e + 3; n = q + 8; q = l + 12; j = z + 1; k = o + 19. Given that t = 2, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = t + 6, which gives e = 8.\n2. Compute w using w = e + 3, which gives w = 11.\n3. Compute x using x = w + 4, which gives x = 15.\n4. Compute l using l = x + 4, which gives l = 19.\n5. Compute q using q = l + 12, which gives q = 31.\n6. Compute n using n = q + 8, which gives n = 39.\n\nThus, the final answer is n = \\boxed{39}.",
"index": 953,
"question": "Suppose a collection of variables is related by the following definitions: t = 2; z = t + 2; o = u + 8; c = j + 3; u = c + 11; l = x + 4; e = t + 6; x = w + 4; w = e + 3; n = q + 8; q = l + 12; j = z + 1; k = o + 19. Given that t = 2, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 9", "k": "b + 1", "p": "k + 2", "a": "p + 7", "e": "a + 3", "x": "e + 10", "t": "o + 8", "q": "t + 10", "s": "q + 8", "m": "s + 14", "r": "m + 14", "v": "r + 13", "o": 11}, "premises": {"o": 11}, "target": "x"}, "answer": {"steps": [["e", "a + 3", "a + 13"], ["a", "p + 7", "p + 20"], ["p", "k + 2", "k + 22"], ["k", "b + 1", "b + 23"], ["b", "o + 9", "o + 32"], ["o", 11, "43"]], "target_var_name": "x", "target_value": 43, "value_dict": {"o": 11}, "is_reverse": true}} | 954 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 1; t = o + 8; v = r + 13; q = t + 10; o = 11; e = a + 3; s = q + 8; p = k + 2; a = p + 7; x = e + 10; b = o + 9; m = s + 14; r = m + 14. If o = 11, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 3 to x, which gives x = a + 13.\n2. Substitute a = p + 7 to x, which gives x = p + 20.\n3. Substitute p = k + 2 to x, which gives x = k + 22.\n4. Substitute k = b + 1 to x, which gives x = b + 23.\n5. Substitute b = o + 9 to x, which gives x = o + 32.\n6. Substitute o = 11 to x, which gives x = 43.\n\nThus, the final answer is x = \\boxed{43}.",
"index": 954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 1; t = o + 8; v = r + 13; q = t + 10; o = 11; e = a + 3; s = q + 8; p = k + 2; a = p + 7; x = e + 10; b = o + 9; m = s + 14; r = m + 14. If o = 11, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 5", "r": "a + 9", "m": "r + 13", "l": "m + 8", "d": "l + 12", "x": "d + 16", "n": "o + 12", "i": "n + 20", "g": "i + 5", "f": "g + 4", "c": "f + 7", "j": "c + 10", "o": 2}, "premises": {"o": 2}, "target": "x"}, "answer": {"steps": [["d", "l + 12", "l + 28"], ["l", "m + 8", "m + 36"], ["m", "r + 13", "r + 49"], ["r", "a + 9", "a + 58"], ["a", "o + 5", "o + 63"], ["o", 2, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"o": 2}, "is_reverse": true}} | 955 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 2; l = m + 8; d = l + 12; r = a + 9; x = d + 16; m = r + 13; n = o + 12; f = g + 4; i = n + 20; c = f + 7; j = c + 10; g = i + 5; a = o + 5. If o = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 12 to x, which gives x = l + 28.\n2. Substitute l = m + 8 to x, which gives x = m + 36.\n3. Substitute m = r + 13 to x, which gives x = r + 49.\n4. Substitute r = a + 9 to x, which gives x = a + 58.\n5. Substitute a = o + 5 to x, which gives x = o + 63.\n6. Substitute o = 2 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 955,
"question": "Consider a system of variables where each variable is defined as follows: o = 2; l = m + 8; d = l + 12; r = a + 9; x = d + 16; m = r + 13; n = o + 12; f = g + 4; i = n + 20; c = f + 7; j = c + 10; g = i + 5; a = o + 5. If o = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 9", "m": "o + 14", "j": "m + 18", "h": "j + 5", "e": "h + 9", "d": "e + 5", "z": "t + 20", "f": "z + 9", "w": "f + 1", "x": "w + 1", "k": "x + 10", "v": "k + 8", "t": 6}, "premises": {"t": 6}, "target": "d"}, "answer": {"steps": [["o", "t + 9", 15], ["m", "o + 14", 29], ["j", "m + 18", 47], ["h", "j + 5", 52], ["e", "h + 9", 61], ["d", "e + 5", 66]], "target_var_name": "d", "target_value": 66, "value_dict": {"t": 6, "o": 15, "m": 29, "j": 47, "h": 52, "e": 61, "d": 66}, "is_reverse": false}} | 956 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 5; e = h + 9; t = 6; z = t + 20; o = t + 9; d = e + 5; w = f + 1; k = x + 10; m = o + 14; f = z + 9; v = k + 8; j = m + 18; x = w + 1. If t = 6, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = t + 9, which gives o = 15.\n2. Compute m using m = o + 14, which gives m = 29.\n3. Compute j using j = m + 18, which gives j = 47.\n4. Compute h using h = j + 5, which gives h = 52.\n5. Compute e using e = h + 9, which gives e = 61.\n6. Compute d using d = e + 5, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 956,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 5; e = h + 9; t = 6; z = t + 20; o = t + 9; d = e + 5; w = f + 1; k = x + 10; m = o + 14; f = z + 9; v = k + 8; j = m + 18; x = w + 1. If t = 6, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 14", "g": "r + 13", "o": "g + 6", "s": "o + 5", "p": "s + 13", "i": "p + 12", "b": "n + 14", "z": "b + 5", "x": "z + 11", "j": "x + 9", "a": "j + 4", "l": "a + 4", "n": 13}, "premises": {"n": 13}, "target": "i"}, "answer": {"steps": [["p", "s + 13", "s + 25"], ["s", "o + 5", "o + 30"], ["o", "g + 6", "g + 36"], ["g", "r + 13", "r + 49"], ["r", "n + 14", "n + 63"], ["n", 13, "76"]], "target_var_name": "i", "target_value": 76, "value_dict": {"n": 13}, "is_reverse": true}} | 957 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 12; z = b + 5; x = z + 11; g = r + 13; a = j + 4; o = g + 6; n = 13; r = n + 14; p = s + 13; b = n + 14; l = a + 4; j = x + 9; s = o + 5. If n = 13, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 13 to i, which gives i = s + 25.\n2. Substitute s = o + 5 to i, which gives i = o + 30.\n3. Substitute o = g + 6 to i, which gives i = g + 36.\n4. Substitute g = r + 13 to i, which gives i = r + 49.\n5. Substitute r = n + 14 to i, which gives i = n + 63.\n6. Substitute n = 13 to i, which gives i = 76.\n\nThus, the final answer is i = \\boxed{76}.",
"index": 957,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 12; z = b + 5; x = z + 11; g = r + 13; a = j + 4; o = g + 6; n = 13; r = n + 14; p = s + 13; b = n + 14; l = a + 4; j = x + 9; s = o + 5. If n = 13, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "w + 16", "m": "q + 10", "v": "m + 7", "i": "v + 19", "n": "i + 18", "y": "n + 3", "z": "w + 13", "a": "z + 2", "c": "a + 14", "x": "c + 11", "k": "x + 15", "s": "k + 9", "w": 20}, "premises": {"w": 20}, "target": "y"}, "answer": {"steps": [["q", "w + 16", 36], ["m", "q + 10", 46], ["v", "m + 7", 53], ["i", "v + 19", 72], ["n", "i + 18", 90], ["y", "n + 3", 93]], "target_var_name": "y", "target_value": 93, "value_dict": {"w": 20, "q": 36, "m": 46, "v": 53, "i": 72, "n": 90, "y": 93}, "is_reverse": false}} | 958 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 16; i = v + 19; a = z + 2; k = x + 15; x = c + 11; w = 20; s = k + 9; z = w + 13; n = i + 18; y = n + 3; m = q + 10; v = m + 7; c = a + 14. If w = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = w + 16, which gives q = 36.\n2. Compute m using m = q + 10, which gives m = 46.\n3. Compute v using v = m + 7, which gives v = 53.\n4. Compute i using i = v + 19, which gives i = 72.\n5. Compute n using n = i + 18, which gives n = 90.\n6. Compute y using y = n + 3, which gives y = 93.\n\nThus, the final answer is y = \\boxed{93}.",
"index": 958,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 16; i = v + 19; a = z + 2; k = x + 15; x = c + 11; w = 20; s = k + 9; z = w + 13; n = i + 18; y = n + 3; m = q + 10; v = m + 7; c = a + 14. If w = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 4", "t": "q + 3", "r": "t + 6", "d": "r + 6", "n": "d + 10", "m": "n + 14", "v": "p + 6", "s": "v + 2", "w": "s + 20", "u": "w + 5", "g": "u + 4", "f": "g + 1", "p": 1}, "premises": {"p": 1}, "target": "m"}, "answer": {"steps": [["n", "d + 10", "d + 24"], ["d", "r + 6", "r + 30"], ["r", "t + 6", "t + 36"], ["t", "q + 3", "q + 39"], ["q", "p + 4", "p + 43"], ["p", 1, "44"]], "target_var_name": "m", "target_value": 44, "value_dict": {"p": 1}, "is_reverse": true}} | 959 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 10; f = g + 1; m = n + 14; w = s + 20; r = t + 6; v = p + 6; d = r + 6; t = q + 3; p = 1; g = u + 4; q = p + 4; s = v + 2; u = w + 5. Given that p = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 10 to m, which gives m = d + 24.\n2. Substitute d = r + 6 to m, which gives m = r + 30.\n3. Substitute r = t + 6 to m, which gives m = t + 36.\n4. Substitute t = q + 3 to m, which gives m = q + 39.\n5. Substitute q = p + 4 to m, which gives m = p + 43.\n6. Substitute p = 1 to m, which gives m = 44.\n\nThus, the final answer is m = \\boxed{44}.",
"index": 959,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 10; f = g + 1; m = n + 14; w = s + 20; r = t + 6; v = p + 6; d = r + 6; t = q + 3; p = 1; g = u + 4; q = p + 4; s = v + 2; u = w + 5. Given that p = 1, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 2", "x": "d + 4", "v": "x + 10", "z": "v + 8", "i": "z + 13", "p": "i + 17", "e": "h + 18", "c": "e + 3", "y": "c + 20", "w": "y + 19", "l": "w + 15", "a": "l + 9", "h": 12}, "premises": {"h": 12}, "target": "p"}, "answer": {"steps": [["i", "z + 13", "z + 30"], ["z", "v + 8", "v + 38"], ["v", "x + 10", "x + 48"], ["x", "d + 4", "d + 52"], ["d", "h + 2", "h + 54"], ["h", 12, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"h": 12}, "is_reverse": true}} | 960 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 17; v = x + 10; i = z + 13; a = l + 9; y = c + 20; z = v + 8; w = y + 19; d = h + 2; e = h + 18; h = 12; x = d + 4; l = w + 15; c = e + 3. If h = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 13 to p, which gives p = z + 30.\n2. Substitute z = v + 8 to p, which gives p = v + 38.\n3. Substitute v = x + 10 to p, which gives p = x + 48.\n4. Substitute x = d + 4 to p, which gives p = d + 52.\n5. Substitute d = h + 2 to p, which gives p = h + 54.\n6. Substitute h = 12 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 17; v = x + 10; i = z + 13; a = l + 9; y = c + 20; z = v + 8; w = y + 19; d = h + 2; e = h + 18; h = 12; x = d + 4; l = w + 15; c = e + 3. If h = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 18", "f": "h + 10", "v": "f + 16", "a": "v + 12", "l": "a + 6", "p": "l + 2", "u": "g + 4", "s": "u + 13", "j": "s + 12", "x": "j + 1", "t": "x + 2", "k": "t + 5", "g": 9}, "premises": {"g": 9}, "target": "p"}, "answer": {"steps": [["l", "a + 6", "a + 8"], ["a", "v + 12", "v + 20"], ["v", "f + 16", "f + 36"], ["f", "h + 10", "h + 46"], ["h", "g + 18", "g + 64"], ["g", 9, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"g": 9}, "is_reverse": true}} | 961 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 12; x = j + 1; h = g + 18; l = a + 6; p = l + 2; u = g + 4; a = v + 12; f = h + 10; s = u + 13; k = t + 5; v = f + 16; t = x + 2; g = 9. Given that g = 9, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 6 to p, which gives p = a + 8.\n2. Substitute a = v + 12 to p, which gives p = v + 20.\n3. Substitute v = f + 16 to p, which gives p = f + 36.\n4. Substitute f = h + 10 to p, which gives p = h + 46.\n5. Substitute h = g + 18 to p, which gives p = g + 64.\n6. Substitute g = 9 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 961,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 12; x = j + 1; h = g + 18; l = a + 6; p = l + 2; u = g + 4; a = v + 12; f = h + 10; s = u + 13; k = t + 5; v = f + 16; t = x + 2; g = 9. Given that g = 9, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 15", "b": "q + 4", "o": "b + 14", "r": "o + 4", "i": "r + 1", "v": "i + 5", "y": "d + 6", "z": "y + 15", "k": "z + 14", "p": "k + 4", "n": "p + 14", "w": "n + 12", "d": 1}, "premises": {"d": 1}, "target": "v"}, "answer": {"steps": [["i", "r + 1", "r + 6"], ["r", "o + 4", "o + 10"], ["o", "b + 14", "b + 24"], ["b", "q + 4", "q + 28"], ["q", "d + 15", "d + 43"], ["d", 1, "44"]], "target_var_name": "v", "target_value": 44, "value_dict": {"d": 1}, "is_reverse": true}} | 962 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 15; w = n + 12; i = r + 1; v = i + 5; k = z + 14; r = o + 4; p = k + 4; z = y + 15; d = 1; b = q + 4; n = p + 14; o = b + 14; y = d + 6. If d = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 1 to v, which gives v = r + 6.\n2. Substitute r = o + 4 to v, which gives v = o + 10.\n3. Substitute o = b + 14 to v, which gives v = b + 24.\n4. Substitute b = q + 4 to v, which gives v = q + 28.\n5. Substitute q = d + 15 to v, which gives v = d + 43.\n6. Substitute d = 1 to v, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 962,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = d + 15; w = n + 12; i = r + 1; v = i + 5; k = z + 14; r = o + 4; p = k + 4; z = y + 15; d = 1; b = q + 4; n = p + 14; o = b + 14; y = d + 6. If d = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 16", "d": "w + 7", "b": "d + 6", "t": "b + 12", "e": "t + 8", "z": "e + 10", "p": "j + 9", "f": "p + 12", "m": "f + 7", "v": "m + 5", "x": "v + 13", "l": "x + 7", "j": 1}, "premises": {"j": 1}, "target": "z"}, "answer": {"steps": [["e", "t + 8", "t + 18"], ["t", "b + 12", "b + 30"], ["b", "d + 6", "d + 36"], ["d", "w + 7", "w + 43"], ["w", "j + 16", "j + 59"], ["j", 1, "60"]], "target_var_name": "z", "target_value": 60, "value_dict": {"j": 1}, "is_reverse": true}} | 963 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 7; p = j + 9; b = d + 6; e = t + 8; l = x + 7; t = b + 12; f = p + 12; x = v + 13; v = m + 5; z = e + 10; m = f + 7; w = j + 16; j = 1. If j = 1, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 8 to z, which gives z = t + 18.\n2. Substitute t = b + 12 to z, which gives z = b + 30.\n3. Substitute b = d + 6 to z, which gives z = d + 36.\n4. Substitute d = w + 7 to z, which gives z = w + 43.\n5. Substitute w = j + 16 to z, which gives z = j + 59.\n6. Substitute j = 1 to z, which gives z = 60.\n\nThus, the final answer is z = \\boxed{60}.",
"index": 963,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 7; p = j + 9; b = d + 6; e = t + 8; l = x + 7; t = b + 12; f = p + 12; x = v + 13; v = m + 5; z = e + 10; m = f + 7; w = j + 16; j = 1. If j = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 20", "l": "p + 5", "m": "l + 1", "u": "m + 10", "c": "u + 19", "w": "c + 12", "o": "t + 3", "y": "o + 16", "g": "y + 15", "a": "g + 16", "d": "a + 19", "r": "d + 13", "t": 10}, "premises": {"t": 10}, "target": "w"}, "answer": {"steps": [["c", "u + 19", "u + 31"], ["u", "m + 10", "m + 41"], ["m", "l + 1", "l + 42"], ["l", "p + 5", "p + 47"], ["p", "t + 20", "t + 67"], ["t", 10, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"t": 10}, "is_reverse": true}} | 964 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 10; t = 10; a = g + 16; o = t + 3; m = l + 1; d = a + 19; w = c + 12; c = u + 19; g = y + 15; y = o + 16; p = t + 20; l = p + 5; r = d + 13. If t = 10, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 19 to w, which gives w = u + 31.\n2. Substitute u = m + 10 to w, which gives w = m + 41.\n3. Substitute m = l + 1 to w, which gives w = l + 42.\n4. Substitute l = p + 5 to w, which gives w = p + 47.\n5. Substitute p = t + 20 to w, which gives w = t + 67.\n6. Substitute t = 10 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = m + 10; t = 10; a = g + 16; o = t + 3; m = l + 1; d = a + 19; w = c + 12; c = u + 19; g = y + 15; y = o + 16; p = t + 20; l = p + 5; r = d + 13. If t = 10, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 2", "i": "e + 18", "q": "i + 9", "u": "q + 9", "t": "u + 1", "d": "t + 7", "v": "w + 20", "g": "v + 11", "o": "g + 4", "n": "o + 18", "z": "n + 11", "r": "z + 18", "w": 1}, "premises": {"w": 1}, "target": "d"}, "answer": {"steps": [["e", "w + 2", 3], ["i", "e + 18", 21], ["q", "i + 9", 30], ["u", "q + 9", 39], ["t", "u + 1", 40], ["d", "t + 7", 47]], "target_var_name": "d", "target_value": 47, "value_dict": {"w": 1, "e": 3, "i": 21, "q": 30, "u": 39, "t": 40, "d": 47}, "is_reverse": false}} | 965 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 9; g = v + 11; r = z + 18; z = n + 11; v = w + 20; t = u + 1; d = t + 7; o = g + 4; e = w + 2; i = e + 18; n = o + 18; u = q + 9; w = 1. If w = 1, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = w + 2, which gives e = 3.\n2. Compute i using i = e + 18, which gives i = 21.\n3. Compute q using q = i + 9, which gives q = 30.\n4. Compute u using u = q + 9, which gives u = 39.\n5. Compute t using t = u + 1, which gives t = 40.\n6. Compute d using d = t + 7, which gives d = 47.\n\nThus, the final answer is d = \\boxed{47}.",
"index": 965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 9; g = v + 11; r = z + 18; z = n + 11; v = w + 20; t = u + 1; d = t + 7; o = g + 4; e = w + 2; i = e + 18; n = o + 18; u = q + 9; w = 1. If w = 1, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 18", "d": "a + 6", "v": "d + 7", "n": "v + 10", "i": "n + 7", "y": "i + 1", "q": "f + 12", "h": "q + 14", "p": "h + 13", "z": "p + 19", "x": "z + 11", "l": "x + 11", "f": 14}, "premises": {"f": 14}, "target": "y"}, "answer": {"steps": [["a", "f + 18", 32], ["d", "a + 6", 38], ["v", "d + 7", 45], ["n", "v + 10", 55], ["i", "n + 7", 62], ["y", "i + 1", 63]], "target_var_name": "y", "target_value": 63, "value_dict": {"f": 14, "a": 32, "d": 38, "v": 45, "n": 55, "i": 62, "y": 63}, "is_reverse": false}} | 966 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 11; a = f + 18; i = n + 7; z = p + 19; p = h + 13; h = q + 14; q = f + 12; f = 14; v = d + 7; n = v + 10; x = z + 11; y = i + 1; d = a + 6. Given that f = 14, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = f + 18, which gives a = 32.\n2. Compute d using d = a + 6, which gives d = 38.\n3. Compute v using v = d + 7, which gives v = 45.\n4. Compute n using n = v + 10, which gives n = 55.\n5. Compute i using i = n + 7, which gives i = 62.\n6. Compute y using y = i + 1, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 966,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 11; a = f + 18; i = n + 7; z = p + 19; p = h + 13; h = q + 14; q = f + 12; f = 14; v = d + 7; n = v + 10; x = z + 11; y = i + 1; d = a + 6. Given that f = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 10", "y": "o + 9", "b": "y + 18", "q": "b + 5", "p": "q + 2", "v": "p + 20", "e": "r + 12", "g": "e + 13", "f": "g + 17", "j": "f + 1", "c": "j + 15", "x": "c + 14", "r": 5}, "premises": {"r": 5}, "target": "v"}, "answer": {"steps": [["p", "q + 2", "q + 22"], ["q", "b + 5", "b + 27"], ["b", "y + 18", "y + 45"], ["y", "o + 9", "o + 54"], ["o", "r + 10", "r + 64"], ["r", 5, "69"]], "target_var_name": "v", "target_value": 69, "value_dict": {"r": 5}, "is_reverse": true}} | 967 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 5; q = b + 5; b = y + 18; v = p + 20; j = f + 1; e = r + 12; p = q + 2; g = e + 13; x = c + 14; y = o + 9; o = r + 10; f = g + 17; c = j + 15. If r = 5, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 2 to v, which gives v = q + 22.\n2. Substitute q = b + 5 to v, which gives v = b + 27.\n3. Substitute b = y + 18 to v, which gives v = y + 45.\n4. Substitute y = o + 9 to v, which gives v = o + 54.\n5. Substitute o = r + 10 to v, which gives v = r + 64.\n6. Substitute r = 5 to v, which gives v = 69.\n\nThus, the final answer is v = \\boxed{69}.",
"index": 967,
"question": "Consider a system of variables where each variable is defined as follows: r = 5; q = b + 5; b = y + 18; v = p + 20; j = f + 1; e = r + 12; p = q + 2; g = e + 13; x = c + 14; y = o + 9; o = r + 10; f = g + 17; c = j + 15. If r = 5, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 8", "l": "w + 10", "n": "l + 7", "p": "n + 20", "d": "p + 4", "q": "d + 8", "f": "z + 8", "x": "f + 11", "o": "x + 9", "h": "o + 8", "c": "h + 5", "v": "c + 20", "z": 15}, "premises": {"z": 15}, "target": "q"}, "answer": {"steps": [["d", "p + 4", "p + 12"], ["p", "n + 20", "n + 32"], ["n", "l + 7", "l + 39"], ["l", "w + 10", "w + 49"], ["w", "z + 8", "z + 57"], ["z", 15, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"z": 15}, "is_reverse": true}} | 968 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 20; f = z + 8; d = p + 4; q = d + 8; h = o + 8; c = h + 5; n = l + 7; o = x + 9; l = w + 10; x = f + 11; w = z + 8; z = 15; p = n + 20. If z = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 4 to q, which gives q = p + 12.\n2. Substitute p = n + 20 to q, which gives q = n + 32.\n3. Substitute n = l + 7 to q, which gives q = l + 39.\n4. Substitute l = w + 10 to q, which gives q = w + 49.\n5. Substitute w = z + 8 to q, which gives q = z + 57.\n6. Substitute z = 15 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 968,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 20; f = z + 8; d = p + 4; q = d + 8; h = o + 8; c = h + 5; n = l + 7; o = x + 9; l = w + 10; x = f + 11; w = z + 8; z = 15; p = n + 20. If z = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 20", "z": "r + 12", "h": "z + 1", "c": "h + 8", "p": "c + 18", "q": "p + 7", "e": "n + 7", "f": "e + 14", "t": "f + 8", "k": "t + 18", "b": "k + 18", "i": "b + 2", "n": 5}, "premises": {"n": 5}, "target": "q"}, "answer": {"steps": [["r", "n + 20", 25], ["z", "r + 12", 37], ["h", "z + 1", 38], ["c", "h + 8", 46], ["p", "c + 18", 64], ["q", "p + 7", 71]], "target_var_name": "q", "target_value": 71, "value_dict": {"n": 5, "r": 25, "z": 37, "h": 38, "c": 46, "p": 64, "q": 71}, "is_reverse": false}} | 969 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 18; t = f + 8; f = e + 14; p = c + 18; z = r + 12; e = n + 7; c = h + 8; h = z + 1; r = n + 20; b = k + 18; n = 5; q = p + 7; i = b + 2. Given that n = 5, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = n + 20, which gives r = 25.\n2. Compute z using z = r + 12, which gives z = 37.\n3. Compute h using h = z + 1, which gives h = 38.\n4. Compute c using c = h + 8, which gives c = 46.\n5. Compute p using p = c + 18, which gives p = 64.\n6. Compute q using q = p + 7, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 969,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 18; t = f + 8; f = e + 14; p = c + 18; z = r + 12; e = n + 7; c = h + 8; h = z + 1; r = n + 20; b = k + 18; n = 5; q = p + 7; i = b + 2. Given that n = 5, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 18", "y": "q + 3", "c": "y + 19", "z": "c + 2", "l": "z + 9", "i": "l + 14", "t": "s + 16", "h": "t + 5", "o": "h + 13", "w": "o + 18", "x": "w + 18", "b": "x + 14", "s": 19}, "premises": {"s": 19}, "target": "i"}, "answer": {"steps": [["q", "s + 18", 37], ["y", "q + 3", 40], ["c", "y + 19", 59], ["z", "c + 2", 61], ["l", "z + 9", 70], ["i", "l + 14", 84]], "target_var_name": "i", "target_value": 84, "value_dict": {"s": 19, "q": 37, "y": 40, "c": 59, "z": 61, "l": 70, "i": 84}, "is_reverse": false}} | 970 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = t + 5; y = q + 3; c = y + 19; b = x + 14; l = z + 9; s = 19; i = l + 14; t = s + 16; z = c + 2; w = o + 18; o = h + 13; x = w + 18; q = s + 18. Given that s = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = s + 18, which gives q = 37.\n2. Compute y using y = q + 3, which gives y = 40.\n3. Compute c using c = y + 19, which gives c = 59.\n4. Compute z using z = c + 2, which gives z = 61.\n5. Compute l using l = z + 9, which gives l = 70.\n6. Compute i using i = l + 14, which gives i = 84.\n\nThus, the final answer is i = \\boxed{84}.",
"index": 970,
"question": "Suppose a collection of variables is related by the following definitions: h = t + 5; y = q + 3; c = y + 19; b = x + 14; l = z + 9; s = 19; i = l + 14; t = s + 16; z = c + 2; w = o + 18; o = h + 13; x = w + 18; q = s + 18. Given that s = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 6", "l": "e + 7", "y": "l + 12", "w": "y + 18", "j": "w + 17", "q": "j + 13", "k": "x + 11", "r": "k + 3", "u": "r + 6", "v": "u + 6", "n": "v + 2", "t": "n + 7", "x": 3}, "premises": {"x": 3}, "target": "q"}, "answer": {"steps": [["j", "w + 17", "w + 30"], ["w", "y + 18", "y + 48"], ["y", "l + 12", "l + 60"], ["l", "e + 7", "e + 67"], ["e", "x + 6", "x + 73"], ["x", 3, "76"]], "target_var_name": "q", "target_value": 76, "value_dict": {"x": 3}, "is_reverse": true}} | 971 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 3; e = x + 6; v = u + 6; y = l + 12; k = x + 11; j = w + 17; t = n + 7; n = v + 2; l = e + 7; u = r + 6; r = k + 3; w = y + 18; q = j + 13. Given that x = 3, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 17 to q, which gives q = w + 30.\n2. Substitute w = y + 18 to q, which gives q = y + 48.\n3. Substitute y = l + 12 to q, which gives q = l + 60.\n4. Substitute l = e + 7 to q, which gives q = e + 67.\n5. Substitute e = x + 6 to q, which gives q = x + 73.\n6. Substitute x = 3 to q, which gives q = 76.\n\nThus, the final answer is q = \\boxed{76}.",
"index": 971,
"question": "Suppose a collection of variables is related by the following definitions: x = 3; e = x + 6; v = u + 6; y = l + 12; k = x + 11; j = w + 17; t = n + 7; n = v + 2; l = e + 7; u = r + 6; r = k + 3; w = y + 18; q = j + 13. Given that x = 3, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 2", "w": "e + 15", "v": "w + 16", "u": "v + 7", "y": "u + 17", "n": "y + 1", "l": "k + 5", "b": "l + 4", "c": "b + 13", "i": "c + 13", "o": "i + 16", "f": "o + 8", "k": 13}, "premises": {"k": 13}, "target": "n"}, "answer": {"steps": [["y", "u + 17", "u + 18"], ["u", "v + 7", "v + 25"], ["v", "w + 16", "w + 41"], ["w", "e + 15", "e + 56"], ["e", "k + 2", "k + 58"], ["k", 13, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"k": 13}, "is_reverse": true}} | 972 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 17; u = v + 7; w = e + 15; k = 13; v = w + 16; f = o + 8; l = k + 5; o = i + 16; c = b + 13; e = k + 2; i = c + 13; n = y + 1; b = l + 4. Given that k = 13, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 17 to n, which gives n = u + 18.\n2. Substitute u = v + 7 to n, which gives n = v + 25.\n3. Substitute v = w + 16 to n, which gives n = w + 41.\n4. Substitute w = e + 15 to n, which gives n = e + 56.\n5. Substitute e = k + 2 to n, which gives n = k + 58.\n6. Substitute k = 13 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 972,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 17; u = v + 7; w = e + 15; k = 13; v = w + 16; f = o + 8; l = k + 5; o = i + 16; c = b + 13; e = k + 2; i = c + 13; n = y + 1; b = l + 4. Given that k = 13, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 18", "t": "d + 10", "a": "t + 19", "p": "a + 4", "k": "p + 8", "c": "k + 20", "v": "m + 14", "n": "v + 17", "w": "n + 5", "g": "w + 19", "s": "g + 20", "q": "s + 17", "m": 14}, "premises": {"m": 14}, "target": "c"}, "answer": {"steps": [["k", "p + 8", "p + 28"], ["p", "a + 4", "a + 32"], ["a", "t + 19", "t + 51"], ["t", "d + 10", "d + 61"], ["d", "m + 18", "m + 79"], ["m", 14, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"m": 14}, "is_reverse": true}} | 973 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = g + 20; w = n + 5; d = m + 18; m = 14; g = w + 19; t = d + 10; q = s + 17; a = t + 19; k = p + 8; v = m + 14; n = v + 17; c = k + 20; p = a + 4. Given that m = 14, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 8 to c, which gives c = p + 28.\n2. Substitute p = a + 4 to c, which gives c = a + 32.\n3. Substitute a = t + 19 to c, which gives c = t + 51.\n4. Substitute t = d + 10 to c, which gives c = d + 61.\n5. Substitute d = m + 18 to c, which gives c = m + 79.\n6. Substitute m = 14 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 973,
"question": "Suppose a collection of variables is related by the following definitions: s = g + 20; w = n + 5; d = m + 18; m = 14; g = w + 19; t = d + 10; q = s + 17; a = t + 19; k = p + 8; v = m + 14; n = v + 17; c = k + 20; p = a + 4. Given that m = 14, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 9", "c": "f + 8", "z": "c + 9", "e": "z + 2", "j": "e + 20", "u": "j + 2", "p": "v + 12", "s": "p + 3", "r": "s + 4", "t": "r + 19", "n": "t + 3", "l": "n + 8", "v": 8}, "premises": {"v": 8}, "target": "u"}, "answer": {"steps": [["j", "e + 20", "e + 22"], ["e", "z + 2", "z + 24"], ["z", "c + 9", "c + 33"], ["c", "f + 8", "f + 41"], ["f", "v + 9", "v + 50"], ["v", 8, "58"]], "target_var_name": "u", "target_value": 58, "value_dict": {"v": 8}, "is_reverse": true}} | 974 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 20; c = f + 8; n = t + 3; z = c + 9; e = z + 2; v = 8; s = p + 3; p = v + 12; r = s + 4; l = n + 8; f = v + 9; u = j + 2; t = r + 19. If v = 8, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 20 to u, which gives u = e + 22.\n2. Substitute e = z + 2 to u, which gives u = z + 24.\n3. Substitute z = c + 9 to u, which gives u = c + 33.\n4. Substitute c = f + 8 to u, which gives u = f + 41.\n5. Substitute f = v + 9 to u, which gives u = v + 50.\n6. Substitute v = 8 to u, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 974,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 20; c = f + 8; n = t + 3; z = c + 9; e = z + 2; v = 8; s = p + 3; p = v + 12; r = s + 4; l = n + 8; f = v + 9; u = j + 2; t = r + 19. If v = 8, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 18", "d": "v + 20", "o": "d + 16", "p": "o + 13", "l": "p + 6", "n": "l + 9", "y": "q + 10", "i": "y + 3", "h": "i + 19", "s": "h + 15", "t": "s + 2", "u": "t + 20", "q": 4}, "premises": {"q": 4}, "target": "n"}, "answer": {"steps": [["v", "q + 18", 22], ["d", "v + 20", 42], ["o", "d + 16", 58], ["p", "o + 13", 71], ["l", "p + 6", 77], ["n", "l + 9", 86]], "target_var_name": "n", "target_value": 86, "value_dict": {"q": 4, "v": 22, "d": 42, "o": 58, "p": 71, "l": 77, "n": 86}, "is_reverse": false}} | 975 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 2; n = l + 9; p = o + 13; d = v + 20; y = q + 10; s = h + 15; o = d + 16; v = q + 18; h = i + 19; u = t + 20; q = 4; l = p + 6; i = y + 3. If q = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = q + 18, which gives v = 22.\n2. Compute d using d = v + 20, which gives d = 42.\n3. Compute o using o = d + 16, which gives o = 58.\n4. Compute p using p = o + 13, which gives p = 71.\n5. Compute l using l = p + 6, which gives l = 77.\n6. Compute n using n = l + 9, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 2; n = l + 9; p = o + 13; d = v + 20; y = q + 10; s = h + 15; o = d + 16; v = q + 18; h = i + 19; u = t + 20; q = 4; l = p + 6; i = y + 3. If q = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 11", "i": "m + 17", "p": "i + 20", "u": "p + 13", "l": "u + 2", "s": "l + 5", "y": "h + 15", "e": "y + 16", "b": "e + 17", "n": "b + 10", "a": "n + 2", "o": "a + 19", "h": 7}, "premises": {"h": 7}, "target": "s"}, "answer": {"steps": [["m", "h + 11", 18], ["i", "m + 17", 35], ["p", "i + 20", 55], ["u", "p + 13", 68], ["l", "u + 2", 70], ["s", "l + 5", 75]], "target_var_name": "s", "target_value": 75, "value_dict": {"h": 7, "m": 18, "i": 35, "p": 55, "u": 68, "l": 70, "s": 75}, "is_reverse": false}} | 976 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 11; n = b + 10; y = h + 15; a = n + 2; p = i + 20; i = m + 17; e = y + 16; l = u + 2; s = l + 5; u = p + 13; h = 7; b = e + 17; o = a + 19. If h = 7, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = h + 11, which gives m = 18.\n2. Compute i using i = m + 17, which gives i = 35.\n3. Compute p using p = i + 20, which gives p = 55.\n4. Compute u using u = p + 13, which gives u = 68.\n5. Compute l using l = u + 2, which gives l = 70.\n6. Compute s using s = l + 5, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 976,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 11; n = b + 10; y = h + 15; a = n + 2; p = i + 20; i = m + 17; e = y + 16; l = u + 2; s = l + 5; u = p + 13; h = 7; b = e + 17; o = a + 19. If h = 7, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 10", "u": "k + 6", "h": "u + 16", "a": "h + 2", "l": "a + 14", "p": "l + 15", "x": "v + 13", "j": "x + 5", "s": "j + 12", "m": "s + 15", "e": "m + 19", "q": "e + 13", "v": 6}, "premises": {"v": 6}, "target": "p"}, "answer": {"steps": [["l", "a + 14", "a + 29"], ["a", "h + 2", "h + 31"], ["h", "u + 16", "u + 47"], ["u", "k + 6", "k + 53"], ["k", "v + 10", "v + 63"], ["v", 6, "69"]], "target_var_name": "p", "target_value": 69, "value_dict": {"v": 6}, "is_reverse": true}} | 977 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = 6; j = x + 5; s = j + 12; p = l + 15; l = a + 14; x = v + 13; e = m + 19; q = e + 13; m = s + 15; k = v + 10; u = k + 6; a = h + 2; h = u + 16. If v = 6, what is the resulting 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 l = a + 14 to p, which gives p = a + 29.\n2. Substitute a = h + 2 to p, which gives p = h + 31.\n3. Substitute h = u + 16 to p, which gives p = u + 47.\n4. Substitute u = k + 6 to p, which gives p = k + 53.\n5. Substitute k = v + 10 to p, which gives p = v + 63.\n6. Substitute v = 6 to p, which gives p = 69.\n\nThus, the final answer is p = \\boxed{69}.",
"index": 977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 6; j = x + 5; s = j + 12; p = l + 15; l = a + 14; x = v + 13; e = m + 19; q = e + 13; m = s + 15; k = v + 10; u = k + 6; a = h + 2; h = u + 16. If v = 6, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 5", "m": "d + 13", "y": "m + 12", "g": "y + 6", "o": "g + 20", "k": "o + 3", "c": "w + 13", "v": "c + 10", "p": "v + 10", "n": "p + 19", "q": "n + 9", "e": "q + 7", "w": 4}, "premises": {"w": 4}, "target": "k"}, "answer": {"steps": [["o", "g + 20", "g + 23"], ["g", "y + 6", "y + 29"], ["y", "m + 12", "m + 41"], ["m", "d + 13", "d + 54"], ["d", "w + 5", "w + 59"], ["w", 4, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"w": 4}, "is_reverse": true}} | 978 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = w + 5; q = n + 9; y = m + 12; w = 4; o = g + 20; v = c + 10; e = q + 7; g = y + 6; m = d + 13; p = v + 10; n = p + 19; c = w + 13; k = o + 3. Given that w = 4, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 20 to k, which gives k = g + 23.\n2. Substitute g = y + 6 to k, which gives k = y + 29.\n3. Substitute y = m + 12 to k, which gives k = m + 41.\n4. Substitute m = d + 13 to k, which gives k = d + 54.\n5. Substitute d = w + 5 to k, which gives k = w + 59.\n6. Substitute w = 4 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 978,
"question": "Suppose a collection of variables is related by the following definitions: d = w + 5; q = n + 9; y = m + 12; w = 4; o = g + 20; v = c + 10; e = q + 7; g = y + 6; m = d + 13; p = v + 10; n = p + 19; c = w + 13; k = o + 3. Given that w = 4, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 13", "w": "c + 3", "k": "w + 20", "j": "k + 5", "u": "j + 3", "m": "u + 3", "y": "p + 3", "v": "y + 5", "l": "v + 13", "o": "l + 14", "g": "o + 14", "s": "g + 10", "p": 17}, "premises": {"p": 17}, "target": "m"}, "answer": {"steps": [["c", "p + 13", 30], ["w", "c + 3", 33], ["k", "w + 20", 53], ["j", "k + 5", 58], ["u", "j + 3", 61], ["m", "u + 3", 64]], "target_var_name": "m", "target_value": 64, "value_dict": {"p": 17, "c": 30, "w": 33, "k": 53, "j": 58, "u": 61, "m": 64}, "is_reverse": false}} | 979 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 17; j = k + 5; w = c + 3; m = u + 3; s = g + 10; v = y + 5; y = p + 3; l = v + 13; k = w + 20; c = p + 13; g = o + 14; o = l + 14; u = j + 3. If p = 17, determine the 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. Compute c using c = p + 13, which gives c = 30.\n2. Compute w using w = c + 3, which gives w = 33.\n3. Compute k using k = w + 20, which gives k = 53.\n4. Compute j using j = k + 5, which gives j = 58.\n5. Compute u using u = j + 3, which gives u = 61.\n6. Compute m using m = u + 3, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 979,
"question": "Consider a system of variables where each variable is defined as follows: p = 17; j = k + 5; w = c + 3; m = u + 3; s = g + 10; v = y + 5; y = p + 3; l = v + 13; k = w + 20; c = p + 13; g = o + 14; o = l + 14; u = j + 3. If p = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 5", "m": "k + 4", "y": "m + 10", "v": "y + 17", "l": "v + 8", "f": "l + 8", "r": "i + 16", "h": "r + 10", "n": "h + 5", "b": "n + 18", "x": "b + 14", "d": "x + 3", "i": 10}, "premises": {"i": 10}, "target": "f"}, "answer": {"steps": [["l", "v + 8", "v + 16"], ["v", "y + 17", "y + 33"], ["y", "m + 10", "m + 43"], ["m", "k + 4", "k + 47"], ["k", "i + 5", "i + 52"], ["i", 10, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"i": 10}, "is_reverse": true}} | 980 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 18; r = i + 16; n = h + 5; i = 10; h = r + 10; x = b + 14; d = x + 3; v = y + 17; y = m + 10; k = i + 5; l = v + 8; f = l + 8; m = k + 4. Given that i = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 8 to f, which gives f = v + 16.\n2. Substitute v = y + 17 to f, which gives f = y + 33.\n3. Substitute y = m + 10 to f, which gives f = m + 43.\n4. Substitute m = k + 4 to f, which gives f = k + 47.\n5. Substitute k = i + 5 to f, which gives f = i + 52.\n6. Substitute i = 10 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 980,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 18; r = i + 16; n = h + 5; i = 10; h = r + 10; x = b + 14; d = x + 3; v = y + 17; y = m + 10; k = i + 5; l = v + 8; f = l + 8; m = k + 4. Given that i = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 10", "l": "x + 13", "f": "l + 19", "w": "f + 7", "p": "w + 16", "j": "p + 6", "i": "q + 19", "e": "i + 2", "y": "e + 11", "a": "y + 5", "k": "a + 9", "h": "k + 4", "q": 10}, "premises": {"q": 10}, "target": "j"}, "answer": {"steps": [["x", "q + 10", 20], ["l", "x + 13", 33], ["f", "l + 19", 52], ["w", "f + 7", 59], ["p", "w + 16", 75], ["j", "p + 6", 81]], "target_var_name": "j", "target_value": 81, "value_dict": {"q": 10, "x": 20, "l": 33, "f": 52, "w": 59, "p": 75, "j": 81}, "is_reverse": false}} | 981 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 19; l = x + 13; w = f + 7; k = a + 9; a = y + 5; q = 10; j = p + 6; p = w + 16; h = k + 4; f = l + 19; y = e + 11; e = i + 2; x = q + 10. Given that q = 10, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = q + 10, which gives x = 20.\n2. Compute l using l = x + 13, which gives l = 33.\n3. Compute f using f = l + 19, which gives f = 52.\n4. Compute w using w = f + 7, which gives w = 59.\n5. Compute p using p = w + 16, which gives p = 75.\n6. Compute j using j = p + 6, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 981,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 19; l = x + 13; w = f + 7; k = a + 9; a = y + 5; q = 10; j = p + 6; p = w + 16; h = k + 4; f = l + 19; y = e + 11; e = i + 2; x = q + 10. Given that q = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 14", "i": "u + 7", "k": "i + 9", "s": "k + 19", "b": "s + 17", "y": "b + 17", "c": "r + 7", "m": "c + 7", "g": "m + 16", "q": "g + 11", "p": "q + 8", "t": "p + 7", "r": 16}, "premises": {"r": 16}, "target": "y"}, "answer": {"steps": [["u", "r + 14", 30], ["i", "u + 7", 37], ["k", "i + 9", 46], ["s", "k + 19", 65], ["b", "s + 17", 82], ["y", "b + 17", 99]], "target_var_name": "y", "target_value": 99, "value_dict": {"r": 16, "u": 30, "i": 37, "k": 46, "s": 65, "b": 82, "y": 99}, "is_reverse": false}} | 982 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 7; g = m + 16; y = b + 17; u = r + 14; p = q + 8; t = p + 7; s = k + 19; k = i + 9; c = r + 7; q = g + 11; b = s + 17; i = u + 7; r = 16. Given that r = 16, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = r + 14, which gives u = 30.\n2. Compute i using i = u + 7, which gives i = 37.\n3. Compute k using k = i + 9, which gives k = 46.\n4. Compute s using s = k + 19, which gives s = 65.\n5. Compute b using b = s + 17, which gives b = 82.\n6. Compute y using y = b + 17, which gives y = 99.\n\nThus, the final answer is y = \\boxed{99}.",
"index": 982,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 7; g = m + 16; y = b + 17; u = r + 14; p = q + 8; t = p + 7; s = k + 19; k = i + 9; c = r + 7; q = g + 11; b = s + 17; i = u + 7; r = 16. Given that r = 16, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 1", "e": "q + 3", "b": "e + 19", "l": "b + 2", "p": "l + 7", "h": "p + 8", "i": "j + 19", "u": "i + 7", "k": "u + 17", "y": "k + 2", "w": "y + 1", "x": "w + 20", "j": 5}, "premises": {"j": 5}, "target": "h"}, "answer": {"steps": [["q", "j + 1", 6], ["e", "q + 3", 9], ["b", "e + 19", 28], ["l", "b + 2", 30], ["p", "l + 7", 37], ["h", "p + 8", 45]], "target_var_name": "h", "target_value": 45, "value_dict": {"j": 5, "q": 6, "e": 9, "b": 28, "l": 30, "p": 37, "h": 45}, "is_reverse": false}} | 983 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 5; e = q + 3; u = i + 7; l = b + 2; y = k + 2; i = j + 19; k = u + 17; h = p + 8; b = e + 19; w = y + 1; p = l + 7; x = w + 20; q = j + 1. If j = 5, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = j + 1, which gives q = 6.\n2. Compute e using e = q + 3, which gives e = 9.\n3. Compute b using b = e + 19, which gives b = 28.\n4. Compute l using l = b + 2, which gives l = 30.\n5. Compute p using p = l + 7, which gives p = 37.\n6. Compute h using h = p + 8, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 5; e = q + 3; u = i + 7; l = b + 2; y = k + 2; i = j + 19; k = u + 17; h = p + 8; b = e + 19; w = y + 1; p = l + 7; x = w + 20; q = j + 1. If j = 5, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 20", "r": "x + 17", "i": "r + 20", "q": "i + 12", "k": "q + 7", "h": "k + 12", "u": "a + 12", "j": "u + 17", "z": "j + 14", "b": "z + 8", "f": "b + 10", "e": "f + 13", "a": 18}, "premises": {"a": 18}, "target": "h"}, "answer": {"steps": [["k", "q + 7", "q + 19"], ["q", "i + 12", "i + 31"], ["i", "r + 20", "r + 51"], ["r", "x + 17", "x + 68"], ["x", "a + 20", "a + 88"], ["a", 18, "106"]], "target_var_name": "h", "target_value": 106, "value_dict": {"a": 18}, "is_reverse": true}} | 984 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 10; a = 18; x = a + 20; k = q + 7; j = u + 17; i = r + 20; q = i + 12; r = x + 17; e = f + 13; u = a + 12; z = j + 14; h = k + 12; b = z + 8. If a = 18, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 7 to h, which gives h = q + 19.\n2. Substitute q = i + 12 to h, which gives h = i + 31.\n3. Substitute i = r + 20 to h, which gives h = r + 51.\n4. Substitute r = x + 17 to h, which gives h = x + 68.\n5. Substitute x = a + 20 to h, which gives h = a + 88.\n6. Substitute a = 18 to h, which gives h = 106.\n\nThus, the final answer is h = \\boxed{106}.",
"index": 984,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 10; a = 18; x = a + 20; k = q + 7; j = u + 17; i = r + 20; q = i + 12; r = x + 17; e = f + 13; u = a + 12; z = j + 14; h = k + 12; b = z + 8. If a = 18, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 17", "s": "v + 13", "n": "s + 9", "m": "n + 10", "d": "m + 1", "z": "d + 13", "x": "g + 20", "h": "x + 1", "e": "h + 15", "k": "e + 17", "o": "k + 9", "t": "o + 18", "g": 19}, "premises": {"g": 19}, "target": "z"}, "answer": {"steps": [["v", "g + 17", 36], ["s", "v + 13", 49], ["n", "s + 9", 58], ["m", "n + 10", 68], ["d", "m + 1", 69], ["z", "d + 13", 82]], "target_var_name": "z", "target_value": 82, "value_dict": {"g": 19, "v": 36, "s": 49, "n": 58, "m": 68, "d": 69, "z": 82}, "is_reverse": false}} | 985 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = n + 10; v = g + 17; d = m + 1; o = k + 9; s = v + 13; h = x + 1; g = 19; z = d + 13; k = e + 17; e = h + 15; x = g + 20; t = o + 18; n = s + 9. If g = 19, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = g + 17, which gives v = 36.\n2. Compute s using s = v + 13, which gives s = 49.\n3. Compute n using n = s + 9, which gives n = 58.\n4. Compute m using m = n + 10, which gives m = 68.\n5. Compute d using d = m + 1, which gives d = 69.\n6. Compute z using z = d + 13, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 985,
"question": "Consider a system of variables where each variable is defined as follows: m = n + 10; v = g + 17; d = m + 1; o = k + 9; s = v + 13; h = x + 1; g = 19; z = d + 13; k = e + 17; e = h + 15; x = g + 20; t = o + 18; n = s + 9. If g = 19, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 20", "u": "m + 3", "l": "u + 20", "o": "l + 17", "p": "o + 13", "z": "p + 1", "e": "k + 3", "c": "e + 7", "d": "c + 8", "n": "d + 14", "x": "n + 1", "f": "x + 19", "k": 9}, "premises": {"k": 9}, "target": "z"}, "answer": {"steps": [["m", "k + 20", 29], ["u", "m + 3", 32], ["l", "u + 20", 52], ["o", "l + 17", 69], ["p", "o + 13", 82], ["z", "p + 1", 83]], "target_var_name": "z", "target_value": 83, "value_dict": {"k": 9, "m": 29, "u": 32, "l": 52, "o": 69, "p": 82, "z": 83}, "is_reverse": false}} | 986 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 7; l = u + 20; m = k + 20; f = x + 19; u = m + 3; d = c + 8; z = p + 1; o = l + 17; x = n + 1; k = 9; e = k + 3; p = o + 13; n = d + 14. If k = 9, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = k + 20, which gives m = 29.\n2. Compute u using u = m + 3, which gives u = 32.\n3. Compute l using l = u + 20, which gives l = 52.\n4. Compute o using o = l + 17, which gives o = 69.\n5. Compute p using p = o + 13, which gives p = 82.\n6. Compute z using z = p + 1, which gives z = 83.\n\nThus, the final answer is z = \\boxed{83}.",
"index": 986,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 7; l = u + 20; m = k + 20; f = x + 19; u = m + 3; d = c + 8; z = p + 1; o = l + 17; x = n + 1; k = 9; e = k + 3; p = o + 13; n = d + 14. If k = 9, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 19", "r": "n + 19", "i": "r + 12", "f": "i + 11", "u": "f + 2", "q": "u + 12", "l": "o + 20", "a": "l + 1", "y": "a + 15", "p": "y + 10", "j": "p + 18", "t": "j + 18", "o": 8}, "premises": {"o": 8}, "target": "q"}, "answer": {"steps": [["u", "f + 2", "f + 14"], ["f", "i + 11", "i + 25"], ["i", "r + 12", "r + 37"], ["r", "n + 19", "n + 56"], ["n", "o + 19", "o + 75"], ["o", 8, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"o": 8}, "is_reverse": true}} | 987 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 12; q = u + 12; u = f + 2; j = p + 18; y = a + 15; f = i + 11; n = o + 19; a = l + 1; o = 8; t = j + 18; l = o + 20; r = n + 19; p = y + 10. If o = 8, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 2 to q, which gives q = f + 14.\n2. Substitute f = i + 11 to q, which gives q = i + 25.\n3. Substitute i = r + 12 to q, which gives q = r + 37.\n4. Substitute r = n + 19 to q, which gives q = n + 56.\n5. Substitute n = o + 19 to q, which gives q = o + 75.\n6. Substitute o = 8 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 987,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 12; q = u + 12; u = f + 2; j = p + 18; y = a + 15; f = i + 11; n = o + 19; a = l + 1; o = 8; t = j + 18; l = o + 20; r = n + 19; p = y + 10. If o = 8, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 15", "p": "g + 12", "u": "p + 10", "c": "u + 19", "j": "c + 6", "h": "j + 13", "e": "q + 20", "i": "e + 17", "n": "i + 14", "y": "n + 6", "s": "y + 9", "r": "s + 14", "q": 18}, "premises": {"q": 18}, "target": "h"}, "answer": {"steps": [["j", "c + 6", "c + 19"], ["c", "u + 19", "u + 38"], ["u", "p + 10", "p + 48"], ["p", "g + 12", "g + 60"], ["g", "q + 15", "q + 75"], ["q", 18, "93"]], "target_var_name": "h", "target_value": 93, "value_dict": {"q": 18}, "is_reverse": true}} | 988 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 14; n = i + 14; g = q + 15; h = j + 13; i = e + 17; c = u + 19; s = y + 9; j = c + 6; p = g + 12; e = q + 20; u = p + 10; q = 18; y = n + 6. Given that q = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 6 to h, which gives h = c + 19.\n2. Substitute c = u + 19 to h, which gives h = u + 38.\n3. Substitute u = p + 10 to h, which gives h = p + 48.\n4. Substitute p = g + 12 to h, which gives h = g + 60.\n5. Substitute g = q + 15 to h, which gives h = q + 75.\n6. Substitute q = 18 to h, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 988,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 14; n = i + 14; g = q + 15; h = j + 13; i = e + 17; c = u + 19; s = y + 9; j = c + 6; p = g + 12; e = q + 20; u = p + 10; q = 18; y = n + 6. Given that q = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 6", "k": "t + 14", "l": "k + 20", "r": "l + 1", "y": "r + 11", "v": "y + 3", "e": "d + 4", "f": "e + 9", "x": "f + 1", "n": "x + 12", "c": "n + 17", "j": "c + 9", "d": 7}, "premises": {"d": 7}, "target": "v"}, "answer": {"steps": [["y", "r + 11", "r + 14"], ["r", "l + 1", "l + 15"], ["l", "k + 20", "k + 35"], ["k", "t + 14", "t + 49"], ["t", "d + 6", "d + 55"], ["d", 7, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"d": 7}, "is_reverse": true}} | 989 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 4; r = l + 1; v = y + 3; d = 7; j = c + 9; c = n + 17; t = d + 6; y = r + 11; n = x + 12; l = k + 20; f = e + 9; k = t + 14; x = f + 1. If d = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 11 to v, which gives v = r + 14.\n2. Substitute r = l + 1 to v, which gives v = l + 15.\n3. Substitute l = k + 20 to v, which gives v = k + 35.\n4. Substitute k = t + 14 to v, which gives v = t + 49.\n5. Substitute t = d + 6 to v, which gives v = d + 55.\n6. Substitute d = 7 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = d + 4; r = l + 1; v = y + 3; d = 7; j = c + 9; c = n + 17; t = d + 6; y = r + 11; n = x + 12; l = k + 20; f = e + 9; k = t + 14; x = f + 1. If d = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 19", "y": "o + 4", "h": "y + 12", "q": "h + 5", "w": "q + 15", "d": "w + 19", "s": "x + 9", "p": "s + 11", "a": "p + 9", "e": "a + 13", "u": "e + 16", "k": "u + 8", "x": 6}, "premises": {"x": 6}, "target": "d"}, "answer": {"steps": [["o", "x + 19", 25], ["y", "o + 4", 29], ["h", "y + 12", 41], ["q", "h + 5", 46], ["w", "q + 15", 61], ["d", "w + 19", 80]], "target_var_name": "d", "target_value": 80, "value_dict": {"x": 6, "o": 25, "y": 29, "h": 41, "q": 46, "w": 61, "d": 80}, "is_reverse": false}} | 990 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 11; d = w + 19; q = h + 5; k = u + 8; w = q + 15; s = x + 9; o = x + 19; h = y + 12; y = o + 4; a = p + 9; x = 6; e = a + 13; u = e + 16. Given that x = 6, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = x + 19, which gives o = 25.\n2. Compute y using y = o + 4, which gives y = 29.\n3. Compute h using h = y + 12, which gives h = 41.\n4. Compute q using q = h + 5, which gives q = 46.\n5. Compute w using w = q + 15, which gives w = 61.\n6. Compute d using d = w + 19, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 990,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 11; d = w + 19; q = h + 5; k = u + 8; w = q + 15; s = x + 9; o = x + 19; h = y + 12; y = o + 4; a = p + 9; x = 6; e = a + 13; u = e + 16. Given that x = 6, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 9", "y": "e + 15", "j": "y + 9", "u": "j + 11", "t": "u + 18", "k": "t + 16", "q": "z + 1", "h": "q + 5", "s": "h + 20", "w": "s + 1", "x": "w + 16", "n": "x + 19", "z": 14}, "premises": {"z": 14}, "target": "k"}, "answer": {"steps": [["e", "z + 9", 23], ["y", "e + 15", 38], ["j", "y + 9", 47], ["u", "j + 11", 58], ["t", "u + 18", 76], ["k", "t + 16", 92]], "target_var_name": "k", "target_value": 92, "value_dict": {"z": 14, "e": 23, "y": 38, "j": 47, "u": 58, "t": 76, "k": 92}, "is_reverse": false}} | 991 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 1; h = q + 5; y = e + 15; j = y + 9; n = x + 19; k = t + 16; t = u + 18; w = s + 1; e = z + 9; u = j + 11; x = w + 16; s = h + 20; z = 14. If z = 14, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = z + 9, which gives e = 23.\n2. Compute y using y = e + 15, which gives y = 38.\n3. Compute j using j = y + 9, which gives j = 47.\n4. Compute u using u = j + 11, which gives u = 58.\n5. Compute t using t = u + 18, which gives t = 76.\n6. Compute k using k = t + 16, which gives k = 92.\n\nThus, the final answer is k = \\boxed{92}.",
"index": 991,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 1; h = q + 5; y = e + 15; j = y + 9; n = x + 19; k = t + 16; t = u + 18; w = s + 1; e = z + 9; u = j + 11; x = w + 16; s = h + 20; z = 14. If z = 14, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 18", "p": "k + 12", "z": "p + 12", "s": "z + 6", "t": "s + 9", "c": "t + 13", "g": "o + 6", "i": "g + 6", "r": "i + 13", "q": "r + 16", "f": "q + 6", "u": "f + 18", "o": 5}, "premises": {"o": 5}, "target": "c"}, "answer": {"steps": [["t", "s + 9", "s + 22"], ["s", "z + 6", "z + 28"], ["z", "p + 12", "p + 40"], ["p", "k + 12", "k + 52"], ["k", "o + 18", "o + 70"], ["o", 5, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"o": 5}, "is_reverse": true}} | 992 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 18; i = g + 6; z = p + 12; g = o + 6; p = k + 12; o = 5; q = r + 16; u = f + 18; s = z + 6; c = t + 13; t = s + 9; f = q + 6; r = i + 13. Given that o = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 9 to c, which gives c = s + 22.\n2. Substitute s = z + 6 to c, which gives c = z + 28.\n3. Substitute z = p + 12 to c, which gives c = p + 40.\n4. Substitute p = k + 12 to c, which gives c = k + 52.\n5. Substitute k = o + 18 to c, which gives c = o + 70.\n6. Substitute o = 5 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 992,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 18; i = g + 6; z = p + 12; g = o + 6; p = k + 12; o = 5; q = r + 16; u = f + 18; s = z + 6; c = t + 13; t = s + 9; f = q + 6; r = i + 13. Given that o = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 7", "y": "v + 13", "l": "y + 18", "w": "l + 9", "p": "w + 5", "a": "p + 13", "u": "k + 3", "f": "u + 19", "c": "f + 4", "m": "c + 17", "h": "m + 11", "g": "h + 19", "k": 15}, "premises": {"k": 15}, "target": "a"}, "answer": {"steps": [["p", "w + 5", "w + 18"], ["w", "l + 9", "l + 27"], ["l", "y + 18", "y + 45"], ["y", "v + 13", "v + 58"], ["v", "k + 7", "k + 65"], ["k", 15, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"k": 15}, "is_reverse": true}} | 993 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 13; k = 15; w = l + 9; h = m + 11; m = c + 17; v = k + 7; y = v + 13; p = w + 5; l = y + 18; c = f + 4; g = h + 19; f = u + 19; u = k + 3. If k = 15, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 5 to a, which gives a = w + 18.\n2. Substitute w = l + 9 to a, which gives a = l + 27.\n3. Substitute l = y + 18 to a, which gives a = y + 45.\n4. Substitute y = v + 13 to a, which gives a = v + 58.\n5. Substitute v = k + 7 to a, which gives a = k + 65.\n6. Substitute k = 15 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 993,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 13; k = 15; w = l + 9; h = m + 11; m = c + 17; v = k + 7; y = v + 13; p = w + 5; l = y + 18; c = f + 4; g = h + 19; f = u + 19; u = k + 3. If k = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 8", "r": "z + 3", "l": "r + 15", "f": "l + 17", "m": "f + 5", "s": "m + 6", "d": "o + 15", "u": "d + 5", "h": "u + 11", "c": "h + 2", "t": "c + 6", "a": "t + 5", "o": 8}, "premises": {"o": 8}, "target": "s"}, "answer": {"steps": [["z", "o + 8", 16], ["r", "z + 3", 19], ["l", "r + 15", 34], ["f", "l + 17", 51], ["m", "f + 5", 56], ["s", "m + 6", 62]], "target_var_name": "s", "target_value": 62, "value_dict": {"o": 8, "z": 16, "r": 19, "l": 34, "f": 51, "m": 56, "s": 62}, "is_reverse": false}} | 994 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 2; z = o + 8; u = d + 5; r = z + 3; a = t + 5; f = l + 17; o = 8; t = c + 6; s = m + 6; d = o + 15; l = r + 15; m = f + 5; h = u + 11. If o = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = o + 8, which gives z = 16.\n2. Compute r using r = z + 3, which gives r = 19.\n3. Compute l using l = r + 15, which gives l = 34.\n4. Compute f using f = l + 17, which gives f = 51.\n5. Compute m using m = f + 5, which gives m = 56.\n6. Compute s using s = m + 6, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 994,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 2; z = o + 8; u = d + 5; r = z + 3; a = t + 5; f = l + 17; o = 8; t = c + 6; s = m + 6; d = o + 15; l = r + 15; m = f + 5; h = u + 11. If o = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 18", "c": "j + 7", "t": "c + 15", "a": "t + 5", "u": "a + 8", "f": "u + 18", "n": "i + 6", "d": "n + 15", "g": "d + 15", "l": "g + 3", "y": "l + 8", "q": "y + 13", "i": 8}, "premises": {"i": 8}, "target": "f"}, "answer": {"steps": [["j", "i + 18", 26], ["c", "j + 7", 33], ["t", "c + 15", 48], ["a", "t + 5", 53], ["u", "a + 8", 61], ["f", "u + 18", 79]], "target_var_name": "f", "target_value": 79, "value_dict": {"i": 8, "j": 26, "c": 33, "t": 48, "a": 53, "u": 61, "f": 79}, "is_reverse": false}} | 995 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = g + 3; t = c + 15; q = y + 13; d = n + 15; n = i + 6; u = a + 8; j = i + 18; i = 8; a = t + 5; y = l + 8; f = u + 18; g = d + 15; c = j + 7. Given that i = 8, find the 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. Compute j using j = i + 18, which gives j = 26.\n2. Compute c using c = j + 7, which gives c = 33.\n3. Compute t using t = c + 15, which gives t = 48.\n4. Compute a using a = t + 5, which gives a = 53.\n5. Compute u using u = a + 8, which gives u = 61.\n6. Compute f using f = u + 18, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 995,
"question": "Suppose a collection of variables is related by the following definitions: l = g + 3; t = c + 15; q = y + 13; d = n + 15; n = i + 6; u = a + 8; j = i + 18; i = 8; a = t + 5; y = l + 8; f = u + 18; g = d + 15; c = j + 7. Given that i = 8, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 9", "x": "u + 13", "s": "x + 20", "p": "s + 7", "i": "p + 4", "a": "i + 8", "j": "w + 8", "m": "j + 1", "l": "m + 13", "h": "l + 6", "v": "h + 15", "k": "v + 12", "w": 19}, "premises": {"w": 19}, "target": "a"}, "answer": {"steps": [["i", "p + 4", "p + 12"], ["p", "s + 7", "s + 19"], ["s", "x + 20", "x + 39"], ["x", "u + 13", "u + 52"], ["u", "w + 9", "w + 61"], ["w", 19, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"w": 19}, "is_reverse": true}} | 996 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 19; p = s + 7; x = u + 13; s = x + 20; j = w + 8; k = v + 12; a = i + 8; h = l + 6; m = j + 1; v = h + 15; i = p + 4; l = m + 13; u = w + 9. If w = 19, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 4 to a, which gives a = p + 12.\n2. Substitute p = s + 7 to a, which gives a = s + 19.\n3. Substitute s = x + 20 to a, which gives a = x + 39.\n4. Substitute x = u + 13 to a, which gives a = u + 52.\n5. Substitute u = w + 9 to a, which gives a = w + 61.\n6. Substitute w = 19 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 19; p = s + 7; x = u + 13; s = x + 20; j = w + 8; k = v + 12; a = i + 8; h = l + 6; m = j + 1; v = h + 15; i = p + 4; l = m + 13; u = w + 9. If w = 19, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "t + 1", "k": "v + 6", "q": "k + 10", "s": "q + 12", "p": "s + 17", "y": "p + 8", "m": "t + 14", "f": "m + 12", "o": "f + 8", "u": "o + 11", "i": "u + 4", "a": "i + 8", "t": 4}, "premises": {"t": 4}, "target": "y"}, "answer": {"steps": [["p", "s + 17", "s + 25"], ["s", "q + 12", "q + 37"], ["q", "k + 10", "k + 47"], ["k", "v + 6", "v + 53"], ["v", "t + 1", "t + 54"], ["t", 4, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"t": 4}, "is_reverse": true}} | 997 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = o + 11; a = i + 8; s = q + 12; m = t + 14; y = p + 8; q = k + 10; p = s + 17; v = t + 1; i = u + 4; t = 4; f = m + 12; o = f + 8; k = v + 6. If t = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 17 to y, which gives y = s + 25.\n2. Substitute s = q + 12 to y, which gives y = q + 37.\n3. Substitute q = k + 10 to y, which gives y = k + 47.\n4. Substitute k = v + 6 to y, which gives y = v + 53.\n5. Substitute v = t + 1 to y, which gives y = t + 54.\n6. Substitute t = 4 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 997,
"question": "Consider a system of variables where each variable is defined as follows: u = o + 11; a = i + 8; s = q + 12; m = t + 14; y = p + 8; q = k + 10; p = s + 17; v = t + 1; i = u + 4; t = 4; f = m + 12; o = f + 8; k = v + 6. If t = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 17", "f": "c + 9", "u": "f + 12", "i": "u + 17", "e": "i + 9", "g": "e + 5", "v": "z + 2", "n": "v + 8", "l": "n + 4", "j": "l + 15", "x": "j + 18", "h": "x + 16", "z": 15}, "premises": {"z": 15}, "target": "g"}, "answer": {"steps": [["c", "z + 17", 32], ["f", "c + 9", 41], ["u", "f + 12", 53], ["i", "u + 17", 70], ["e", "i + 9", 79], ["g", "e + 5", 84]], "target_var_name": "g", "target_value": 84, "value_dict": {"z": 15, "c": 32, "f": 41, "u": 53, "i": 70, "e": 79, "g": 84}, "is_reverse": false}} | 998 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 8; c = z + 17; x = j + 18; f = c + 9; e = i + 9; z = 15; u = f + 12; j = l + 15; l = n + 4; v = z + 2; h = x + 16; i = u + 17; g = e + 5. If z = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = z + 17, which gives c = 32.\n2. Compute f using f = c + 9, which gives f = 41.\n3. Compute u using u = f + 12, which gives u = 53.\n4. Compute i using i = u + 17, which gives i = 70.\n5. Compute e using e = i + 9, which gives e = 79.\n6. Compute g using g = e + 5, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 998,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 8; c = z + 17; x = j + 18; f = c + 9; e = i + 9; z = 15; u = f + 12; j = l + 15; l = n + 4; v = z + 2; h = x + 16; i = u + 17; g = e + 5. If z = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 12", "n": "j + 11", "k": "n + 10", "a": "k + 18", "q": "a + 13", "l": "q + 4", "w": "u + 2", "s": "w + 2", "r": "s + 12", "g": "r + 11", "o": "g + 2", "d": "o + 17", "u": 20}, "premises": {"u": 20}, "target": "l"}, "answer": {"steps": [["j", "u + 12", 32], ["n", "j + 11", 43], ["k", "n + 10", 53], ["a", "k + 18", 71], ["q", "a + 13", 84], ["l", "q + 4", 88]], "target_var_name": "l", "target_value": 88, "value_dict": {"u": 20, "j": 32, "n": 43, "k": 53, "a": 71, "q": 84, "l": 88}, "is_reverse": false}} | 999 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 2; a = k + 18; r = s + 12; g = r + 11; o = g + 2; k = n + 10; q = a + 13; d = o + 17; s = w + 2; l = q + 4; u = 20; n = j + 11; j = u + 12. If u = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = u + 12, which gives j = 32.\n2. Compute n using n = j + 11, which gives n = 43.\n3. Compute k using k = n + 10, which gives k = 53.\n4. Compute a using a = k + 18, which gives a = 71.\n5. Compute q using q = a + 13, which gives q = 84.\n6. Compute l using l = q + 4, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 999,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 2; a = k + 18; r = s + 12; g = r + 11; o = g + 2; k = n + 10; q = a + 13; d = o + 17; s = w + 2; l = q + 4; u = 20; n = j + 11; j = u + 12. If u = 20, determine the value of l.",
"split": "train"
} |
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