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": {"v": "z + 4", "o": "v + 19", "i": "o + 15", "h": "i + 16", "y": "h + 7", "l": "y + 14", "n": "z + 7", "e": "n + 12", "r": "e + 13", "f": "r + 11", "t": "f + 11", "j": "t + 20", "z": 17}, "premises": {"z": 17}, "target": "l"}, "answer": {"steps": [["v", "z + 4", 21], ["o", "v + 19", 40], ["i", "o + 15", 55], ["h", "i + 16", 71], ["y", "h + 7", 78], ["l", "y + 14", 92]], "target_var_name": "l", "target_value": 92, "value_dict": {"z": 17, "v": 21, "o": 40, "i": 55, "h": 71, "y": 78, "l": 92}, "is_reverse": false}} | 800 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 11; r = e + 13; n = z + 7; y = h + 7; h = i + 16; v = z + 4; j = t + 20; e = n + 12; i = o + 15; l = y + 14; o = v + 19; f = r + 11; z = 17. If z = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = z + 4, which gives v = 21.\n2. Compute o using o = v + 19, which gives o = 40.\n3. Compute i using i = o + 15, which gives i = 55.\n4. Compute h using h = i + 16, which gives h = 71.\n5. Compute y using y = h + 7, which gives y = 78.\n6. Compute l using l = y + 14, which gives l = 92.\n\nThus, the final answer is l = \\boxed{92}.",
"index": 800,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 11; r = e + 13; n = z + 7; y = h + 7; h = i + 16; v = z + 4; j = t + 20; e = n + 12; i = o + 15; l = y + 14; o = v + 19; f = r + 11; z = 17. If z = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"h": "u + 8", "y": "h + 9", "c": "y + 13", "b": "c + 1", "o": "b + 10", "j": "o + 7", "x": "u + 20", "i": "x + 1", "k": "i + 16", "z": "k + 18", "a": "z + 19", "m": "a + 16", "u": 9}, "premises": {"u": 9}, "target": "j"}, "answer": {"steps": [["o", "b + 10", "b + 17"], ["b", "c + 1", "c + 18"], ["c", "y + 13", "y + 31"], ["y", "h + 9", "h + 40"], ["h", "u + 8", "u + 48"], ["u", 9, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"u": 9}, "is_reverse": true}} | 801 | 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 + 13; h = u + 8; k = i + 16; z = k + 18; x = u + 20; j = o + 7; i = x + 1; a = z + 19; u = 9; b = c + 1; y = h + 9; o = b + 10; m = a + 16. If u = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 10 to j, which gives j = b + 17.\n2. Substitute b = c + 1 to j, which gives j = c + 18.\n3. Substitute c = y + 13 to j, which gives j = y + 31.\n4. Substitute y = h + 9 to j, which gives j = h + 40.\n5. Substitute h = u + 8 to j, which gives j = u + 48.\n6. Substitute u = 9 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 801,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 13; h = u + 8; k = i + 16; z = k + 18; x = u + 20; j = o + 7; i = x + 1; a = z + 19; u = 9; b = c + 1; y = h + 9; o = b + 10; m = a + 16. If u = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 9", "a": "j + 9", "q": "a + 3", "k": "q + 5", "g": "k + 7", "d": "g + 6", "n": "t + 1", "u": "n + 15", "z": "u + 10", "f": "z + 19", "i": "f + 8", "l": "i + 9", "t": 13}, "premises": {"t": 13}, "target": "d"}, "answer": {"steps": [["j", "t + 9", 22], ["a", "j + 9", 31], ["q", "a + 3", 34], ["k", "q + 5", 39], ["g", "k + 7", 46], ["d", "g + 6", 52]], "target_var_name": "d", "target_value": 52, "value_dict": {"t": 13, "j": 22, "a": 31, "q": 34, "k": 39, "g": 46, "d": 52}, "is_reverse": false}} | 802 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 7; z = u + 10; n = t + 1; q = a + 3; a = j + 9; d = g + 6; k = q + 5; l = i + 9; t = 13; u = n + 15; f = z + 19; i = f + 8; j = t + 9. Given that t = 13, find the value of d.",
"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 = t + 9, which gives j = 22.\n2. Compute a using a = j + 9, which gives a = 31.\n3. Compute q using q = a + 3, which gives q = 34.\n4. Compute k using k = q + 5, which gives k = 39.\n5. Compute g using g = k + 7, which gives g = 46.\n6. Compute d using d = g + 6, which gives d = 52.\n\nThus, the final answer is d = \\boxed{52}.",
"index": 802,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 7; z = u + 10; n = t + 1; q = a + 3; a = j + 9; d = g + 6; k = q + 5; l = i + 9; t = 13; u = n + 15; f = z + 19; i = f + 8; j = t + 9. Given that t = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 12", "c": "h + 14", "a": "c + 1", "v": "a + 19", "i": "v + 16", "d": "i + 1", "n": "l + 1", "w": "n + 3", "t": "w + 4", "y": "t + 20", "m": "y + 20", "j": "m + 5", "l": 5}, "premises": {"l": 5}, "target": "d"}, "answer": {"steps": [["h", "l + 12", 17], ["c", "h + 14", 31], ["a", "c + 1", 32], ["v", "a + 19", 51], ["i", "v + 16", 67], ["d", "i + 1", 68]], "target_var_name": "d", "target_value": 68, "value_dict": {"l": 5, "h": 17, "c": 31, "a": 32, "v": 51, "i": 67, "d": 68}, "is_reverse": false}} | 803 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 5; d = i + 1; y = t + 20; v = a + 19; n = l + 1; h = l + 12; m = y + 20; j = m + 5; a = c + 1; c = h + 14; i = v + 16; w = n + 3; t = w + 4. Given that l = 5, find the value of d.",
"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 = l + 12, which gives h = 17.\n2. Compute c using c = h + 14, which gives c = 31.\n3. Compute a using a = c + 1, which gives a = 32.\n4. Compute v using v = a + 19, which gives v = 51.\n5. Compute i using i = v + 16, which gives i = 67.\n6. Compute d using d = i + 1, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 803,
"question": "Suppose a collection of variables is related by the following definitions: l = 5; d = i + 1; y = t + 20; v = a + 19; n = l + 1; h = l + 12; m = y + 20; j = m + 5; a = c + 1; c = h + 14; i = v + 16; w = n + 3; t = w + 4. Given that l = 5, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 11", "p": "k + 8", "d": "p + 9", "j": "d + 4", "l": "j + 2", "z": "l + 17", "c": "m + 2", "w": "c + 18", "v": "w + 9", "u": "v + 12", "b": "u + 8", "e": "b + 10", "m": 20}, "premises": {"m": 20}, "target": "z"}, "answer": {"steps": [["l", "j + 2", "j + 19"], ["j", "d + 4", "d + 23"], ["d", "p + 9", "p + 32"], ["p", "k + 8", "k + 40"], ["k", "m + 11", "m + 51"], ["m", 20, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"m": 20}, "is_reverse": true}} | 804 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 10; p = k + 8; u = v + 12; w = c + 18; l = j + 2; d = p + 9; m = 20; c = m + 2; j = d + 4; v = w + 9; z = l + 17; k = m + 11; b = u + 8. Given that m = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 2 to z, which gives z = j + 19.\n2. Substitute j = d + 4 to z, which gives z = d + 23.\n3. Substitute d = p + 9 to z, which gives z = p + 32.\n4. Substitute p = k + 8 to z, which gives z = k + 40.\n5. Substitute k = m + 11 to z, which gives z = m + 51.\n6. Substitute m = 20 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 804,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 10; p = k + 8; u = v + 12; w = c + 18; l = j + 2; d = p + 9; m = 20; c = m + 2; j = d + 4; v = w + 9; z = l + 17; k = m + 11; b = u + 8. Given that m = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 6", "j": "l + 4", "e": "j + 5", "s": "e + 2", "t": "s + 2", "k": "t + 3", "a": "y + 9", "z": "a + 19", "v": "z + 12", "w": "v + 17", "q": "w + 1", "i": "q + 7", "y": 4}, "premises": {"y": 4}, "target": "k"}, "answer": {"steps": [["l", "y + 6", 10], ["j", "l + 4", 14], ["e", "j + 5", 19], ["s", "e + 2", 21], ["t", "s + 2", 23], ["k", "t + 3", 26]], "target_var_name": "k", "target_value": 26, "value_dict": {"y": 4, "l": 10, "j": 14, "e": 19, "s": 21, "t": 23, "k": 26}, "is_reverse": false}} | 805 | 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 + 1; l = y + 6; s = e + 2; w = v + 17; v = z + 12; e = j + 5; k = t + 3; t = s + 2; j = l + 4; z = a + 19; y = 4; i = q + 7; a = y + 9. If y = 4, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 26,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = y + 6, which gives l = 10.\n2. Compute j using j = l + 4, which gives j = 14.\n3. Compute e using e = j + 5, which gives e = 19.\n4. Compute s using s = e + 2, which gives s = 21.\n5. Compute t using t = s + 2, which gives t = 23.\n6. Compute k using k = t + 3, which gives k = 26.\n\nThus, the final answer is k = \\boxed{26}.",
"index": 805,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 1; l = y + 6; s = e + 2; w = v + 17; v = z + 12; e = j + 5; k = t + 3; t = s + 2; j = l + 4; z = a + 19; y = 4; i = q + 7; a = y + 9. If y = 4, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 18", "z": "b + 1", "t": "z + 11", "j": "t + 8", "y": "j + 10", "i": "y + 14", "m": "s + 12", "d": "m + 13", "h": "d + 3", "o": "h + 15", "x": "o + 16", "g": "x + 14", "s": 9}, "premises": {"s": 9}, "target": "i"}, "answer": {"steps": [["b", "s + 18", 27], ["z", "b + 1", 28], ["t", "z + 11", 39], ["j", "t + 8", 47], ["y", "j + 10", 57], ["i", "y + 14", 71]], "target_var_name": "i", "target_value": 71, "value_dict": {"s": 9, "b": 27, "z": 28, "t": 39, "j": 47, "y": 57, "i": 71}, "is_reverse": false}} | 806 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 11; z = b + 1; s = 9; h = d + 3; i = y + 14; o = h + 15; x = o + 16; j = t + 8; b = s + 18; d = m + 13; g = x + 14; y = j + 10; m = s + 12. If s = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = s + 18, which gives b = 27.\n2. Compute z using z = b + 1, which gives z = 28.\n3. Compute t using t = z + 11, which gives t = 39.\n4. Compute j using j = t + 8, which gives j = 47.\n5. Compute y using y = j + 10, which gives y = 57.\n6. Compute i using i = y + 14, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 806,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 11; z = b + 1; s = 9; h = d + 3; i = y + 14; o = h + 15; x = o + 16; j = t + 8; b = s + 18; d = m + 13; g = x + 14; y = j + 10; m = s + 12. If s = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 2", "z": "j + 8", "f": "z + 3", "x": "f + 6", "l": "x + 11", "r": "l + 5", "t": "q + 2", "k": "t + 2", "u": "k + 3", "d": "u + 18", "b": "d + 4", "h": "b + 14", "q": 20}, "premises": {"q": 20}, "target": "r"}, "answer": {"steps": [["j", "q + 2", 22], ["z", "j + 8", 30], ["f", "z + 3", 33], ["x", "f + 6", 39], ["l", "x + 11", 50], ["r", "l + 5", 55]], "target_var_name": "r", "target_value": 55, "value_dict": {"q": 20, "j": 22, "z": 30, "f": 33, "x": 39, "l": 50, "r": 55}, "is_reverse": false}} | 807 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 2; k = t + 2; z = j + 8; u = k + 3; h = b + 14; d = u + 18; q = 20; l = x + 11; f = z + 3; b = d + 4; j = q + 2; r = l + 5; x = f + 6. Given that q = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = q + 2, which gives j = 22.\n2. Compute z using z = j + 8, which gives z = 30.\n3. Compute f using f = z + 3, which gives f = 33.\n4. Compute x using x = f + 6, which gives x = 39.\n5. Compute l using l = x + 11, which gives l = 50.\n6. Compute r using r = l + 5, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 807,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 2; k = t + 2; z = j + 8; u = k + 3; h = b + 14; d = u + 18; q = 20; l = x + 11; f = z + 3; b = d + 4; j = q + 2; r = l + 5; x = f + 6. Given that q = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 16", "h": "w + 9", "k": "h + 4", "v": "k + 20", "t": "v + 2", "n": "t + 19", "z": "q + 18", "j": "z + 1", "g": "j + 6", "u": "g + 11", "y": "u + 20", "s": "y + 13", "q": 7}, "premises": {"q": 7}, "target": "n"}, "answer": {"steps": [["w", "q + 16", 23], ["h", "w + 9", 32], ["k", "h + 4", 36], ["v", "k + 20", 56], ["t", "v + 2", 58], ["n", "t + 19", 77]], "target_var_name": "n", "target_value": 77, "value_dict": {"q": 7, "w": 23, "h": 32, "k": 36, "v": 56, "t": 58, "n": 77}, "is_reverse": false}} | 808 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = t + 19; j = z + 1; t = v + 2; u = g + 11; q = 7; z = q + 18; w = q + 16; k = h + 4; s = y + 13; h = w + 9; v = k + 20; y = u + 20; g = j + 6. Given that q = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = q + 16, which gives w = 23.\n2. Compute h using h = w + 9, which gives h = 32.\n3. Compute k using k = h + 4, which gives k = 36.\n4. Compute v using v = k + 20, which gives v = 56.\n5. Compute t using t = v + 2, which gives t = 58.\n6. Compute n using n = t + 19, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 808,
"question": "Suppose a collection of variables is related by the following definitions: n = t + 19; j = z + 1; t = v + 2; u = g + 11; q = 7; z = q + 18; w = q + 16; k = h + 4; s = y + 13; h = w + 9; v = k + 20; y = u + 20; g = j + 6. Given that q = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 11", "z": "h + 20", "t": "z + 17", "n": "t + 6", "f": "n + 6", "b": "f + 13", "k": "l + 15", "a": "k + 9", "e": "a + 15", "j": "e + 12", "g": "j + 17", "x": "g + 20", "l": 14}, "premises": {"l": 14}, "target": "b"}, "answer": {"steps": [["h", "l + 11", 25], ["z", "h + 20", 45], ["t", "z + 17", 62], ["n", "t + 6", 68], ["f", "n + 6", 74], ["b", "f + 13", 87]], "target_var_name": "b", "target_value": 87, "value_dict": {"l": 14, "h": 25, "z": 45, "t": 62, "n": 68, "f": 74, "b": 87}, "is_reverse": false}} | 809 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 9; f = n + 6; l = 14; b = f + 13; j = e + 12; g = j + 17; h = l + 11; x = g + 20; e = a + 15; t = z + 17; n = t + 6; z = h + 20; k = l + 15. Given that l = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = l + 11, which gives h = 25.\n2. Compute z using z = h + 20, which gives z = 45.\n3. Compute t using t = z + 17, which gives t = 62.\n4. Compute n using n = t + 6, which gives n = 68.\n5. Compute f using f = n + 6, which gives f = 74.\n6. Compute b using b = f + 13, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 809,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 9; f = n + 6; l = 14; b = f + 13; j = e + 12; g = j + 17; h = l + 11; x = g + 20; e = a + 15; t = z + 17; n = t + 6; z = h + 20; k = l + 15. Given that l = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 12", "l": "x + 5", "j": "l + 3", "c": "j + 12", "e": "c + 1", "n": "e + 1", "p": "f + 6", "s": "p + 10", "z": "s + 5", "t": "z + 5", "r": "t + 12", "w": "r + 5", "f": 6}, "premises": {"f": 6}, "target": "n"}, "answer": {"steps": [["e", "c + 1", "c + 2"], ["c", "j + 12", "j + 14"], ["j", "l + 3", "l + 17"], ["l", "x + 5", "x + 22"], ["x", "f + 12", "f + 34"], ["f", 6, "40"]], "target_var_name": "n", "target_value": 40, "value_dict": {"f": 6}, "is_reverse": true}} | 810 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 6; c = j + 12; r = t + 12; s = p + 10; w = r + 5; x = f + 12; z = s + 5; t = z + 5; n = e + 1; p = f + 6; l = x + 5; e = c + 1; j = l + 3. Given that f = 6, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 1 to n, which gives n = c + 2.\n2. Substitute c = j + 12 to n, which gives n = j + 14.\n3. Substitute j = l + 3 to n, which gives n = l + 17.\n4. Substitute l = x + 5 to n, which gives n = x + 22.\n5. Substitute x = f + 12 to n, which gives n = f + 34.\n6. Substitute f = 6 to n, which gives n = 40.\n\nThus, the final answer is n = \\boxed{40}.",
"index": 810,
"question": "Suppose a collection of variables is related by the following definitions: f = 6; c = j + 12; r = t + 12; s = p + 10; w = r + 5; x = f + 12; z = s + 5; t = z + 5; n = e + 1; p = f + 6; l = x + 5; e = c + 1; j = l + 3. Given that f = 6, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 11", "d": "e + 8", "v": "d + 2", "p": "v + 1", "x": "p + 6", "j": "x + 15", "h": "s + 15", "n": "h + 16", "l": "n + 2", "m": "l + 16", "w": "m + 20", "i": "w + 9", "s": 2}, "premises": {"s": 2}, "target": "j"}, "answer": {"steps": [["e", "s + 11", 13], ["d", "e + 8", 21], ["v", "d + 2", 23], ["p", "v + 1", 24], ["x", "p + 6", 30], ["j", "x + 15", 45]], "target_var_name": "j", "target_value": 45, "value_dict": {"s": 2, "e": 13, "d": 21, "v": 23, "p": 24, "x": 30, "j": 45}, "is_reverse": false}} | 811 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 8; l = n + 2; e = s + 11; w = m + 20; x = p + 6; h = s + 15; p = v + 1; m = l + 16; n = h + 16; j = x + 15; v = d + 2; s = 2; i = w + 9. Given that s = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = s + 11, which gives e = 13.\n2. Compute d using d = e + 8, which gives d = 21.\n3. Compute v using v = d + 2, which gives v = 23.\n4. Compute p using p = v + 1, which gives p = 24.\n5. Compute x using x = p + 6, which gives x = 30.\n6. Compute j using j = x + 15, which gives j = 45.\n\nThus, the final answer is j = \\boxed{45}.",
"index": 811,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 8; l = n + 2; e = s + 11; w = m + 20; x = p + 6; h = s + 15; p = v + 1; m = l + 16; n = h + 16; j = x + 15; v = d + 2; s = 2; i = w + 9. Given that s = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 13", "f": "s + 20", "t": "f + 8", "n": "t + 8", "x": "n + 16", "r": "x + 19", "i": "c + 18", "b": "i + 20", "g": "b + 3", "q": "g + 16", "j": "q + 17", "k": "j + 1", "c": 6}, "premises": {"c": 6}, "target": "r"}, "answer": {"steps": [["s", "c + 13", 19], ["f", "s + 20", 39], ["t", "f + 8", 47], ["n", "t + 8", 55], ["x", "n + 16", 71], ["r", "x + 19", 90]], "target_var_name": "r", "target_value": 90, "value_dict": {"c": 6, "s": 19, "f": 39, "t": 47, "n": 55, "x": 71, "r": 90}, "is_reverse": false}} | 812 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = c + 18; c = 6; q = g + 16; g = b + 3; s = c + 13; j = q + 17; f = s + 20; k = j + 1; b = i + 20; n = t + 8; x = n + 16; t = f + 8; r = x + 19. Given that c = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = c + 13, which gives s = 19.\n2. Compute f using f = s + 20, which gives f = 39.\n3. Compute t using t = f + 8, which gives t = 47.\n4. Compute n using n = t + 8, which gives n = 55.\n5. Compute x using x = n + 16, which gives x = 71.\n6. Compute r using r = x + 19, which gives r = 90.\n\nThus, the final answer is r = \\boxed{90}.",
"index": 812,
"question": "Suppose a collection of variables is related by the following definitions: i = c + 18; c = 6; q = g + 16; g = b + 3; s = c + 13; j = q + 17; f = s + 20; k = j + 1; b = i + 20; n = t + 8; x = n + 16; t = f + 8; r = x + 19. Given that c = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 15", "m": "j + 16", "c": "m + 12", "b": "c + 7", "n": "b + 13", "x": "n + 14", "q": "t + 12", "u": "q + 11", "a": "u + 8", "p": "a + 10", "o": "p + 4", "f": "o + 13", "t": 5}, "premises": {"t": 5}, "target": "x"}, "answer": {"steps": [["j", "t + 15", 20], ["m", "j + 16", 36], ["c", "m + 12", 48], ["b", "c + 7", 55], ["n", "b + 13", 68], ["x", "n + 14", 82]], "target_var_name": "x", "target_value": 82, "value_dict": {"t": 5, "j": 20, "m": 36, "c": 48, "b": 55, "n": 68, "x": 82}, "is_reverse": false}} | 813 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 14; m = j + 16; q = t + 12; a = u + 8; n = b + 13; c = m + 12; j = t + 15; o = p + 4; p = a + 10; u = q + 11; b = c + 7; t = 5; f = o + 13. If t = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = t + 15, which gives j = 20.\n2. Compute m using m = j + 16, which gives m = 36.\n3. Compute c using c = m + 12, which gives c = 48.\n4. Compute b using b = c + 7, which gives b = 55.\n5. Compute n using n = b + 13, which gives n = 68.\n6. Compute x using x = n + 14, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 14; m = j + 16; q = t + 12; a = u + 8; n = b + 13; c = m + 12; j = t + 15; o = p + 4; p = a + 10; u = q + 11; b = c + 7; t = 5; f = o + 13. If t = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 19", "x": "v + 18", "z": "x + 19", "d": "z + 1", "o": "d + 20", "l": "o + 20", "e": "h + 11", "p": "e + 19", "s": "p + 13", "i": "s + 1", "a": "i + 13", "k": "a + 17", "h": 8}, "premises": {"h": 8}, "target": "l"}, "answer": {"steps": [["o", "d + 20", "d + 40"], ["d", "z + 1", "z + 41"], ["z", "x + 19", "x + 60"], ["x", "v + 18", "v + 78"], ["v", "h + 19", "h + 97"], ["h", 8, "105"]], "target_var_name": "l", "target_value": 105, "value_dict": {"h": 8}, "is_reverse": true}} | 814 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 1; l = o + 20; x = v + 18; d = z + 1; s = p + 13; v = h + 19; z = x + 19; e = h + 11; h = 8; k = a + 17; o = d + 20; a = i + 13; p = e + 19. Given that h = 8, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 20 to l, which gives l = d + 40.\n2. Substitute d = z + 1 to l, which gives l = z + 41.\n3. Substitute z = x + 19 to l, which gives l = x + 60.\n4. Substitute x = v + 18 to l, which gives l = v + 78.\n5. Substitute v = h + 19 to l, which gives l = h + 97.\n6. Substitute h = 8 to l, which gives l = 105.\n\nThus, the final answer is l = \\boxed{105}.",
"index": 814,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 1; l = o + 20; x = v + 18; d = z + 1; s = p + 13; v = h + 19; z = x + 19; e = h + 11; h = 8; k = a + 17; o = d + 20; a = i + 13; p = e + 19. Given that h = 8, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 13", "s": "a + 3", "v": "s + 13", "j": "v + 16", "i": "j + 16", "p": "i + 9", "c": "m + 16", "o": "c + 20", "u": "o + 19", "f": "u + 20", "h": "f + 2", "d": "h + 2", "m": 11}, "premises": {"m": 11}, "target": "p"}, "answer": {"steps": [["a", "m + 13", 24], ["s", "a + 3", 27], ["v", "s + 13", 40], ["j", "v + 16", 56], ["i", "j + 16", 72], ["p", "i + 9", 81]], "target_var_name": "p", "target_value": 81, "value_dict": {"m": 11, "a": 24, "s": 27, "v": 40, "j": 56, "i": 72, "p": 81}, "is_reverse": false}} | 815 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 20; j = v + 16; m = 11; c = m + 16; v = s + 13; i = j + 16; s = a + 3; p = i + 9; o = c + 20; d = h + 2; h = f + 2; u = o + 19; a = m + 13. Given that m = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = m + 13, which gives a = 24.\n2. Compute s using s = a + 3, which gives s = 27.\n3. Compute v using v = s + 13, which gives v = 40.\n4. Compute j using j = v + 16, which gives j = 56.\n5. Compute i using i = j + 16, which gives i = 72.\n6. Compute p using p = i + 9, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 815,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 20; j = v + 16; m = 11; c = m + 16; v = s + 13; i = j + 16; s = a + 3; p = i + 9; o = c + 20; d = h + 2; h = f + 2; u = o + 19; a = m + 13. Given that m = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 15", "r": "d + 13", "i": "r + 19", "x": "i + 6", "w": "x + 12", "c": "w + 12", "y": "h + 17", "o": "y + 5", "a": "o + 20", "m": "a + 17", "g": "m + 18", "e": "g + 13", "h": 3}, "premises": {"h": 3}, "target": "c"}, "answer": {"steps": [["d", "h + 15", 18], ["r", "d + 13", 31], ["i", "r + 19", 50], ["x", "i + 6", 56], ["w", "x + 12", 68], ["c", "w + 12", 80]], "target_var_name": "c", "target_value": 80, "value_dict": {"h": 3, "d": 18, "r": 31, "i": 50, "x": 56, "w": 68, "c": 80}, "is_reverse": false}} | 816 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 17; o = y + 5; r = d + 13; y = h + 17; e = g + 13; g = m + 18; a = o + 20; w = x + 12; i = r + 19; d = h + 15; h = 3; x = i + 6; c = w + 12. If h = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = h + 15, which gives d = 18.\n2. Compute r using r = d + 13, which gives r = 31.\n3. Compute i using i = r + 19, which gives i = 50.\n4. Compute x using x = i + 6, which gives x = 56.\n5. Compute w using w = x + 12, which gives w = 68.\n6. Compute c using c = w + 12, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 816,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 17; o = y + 5; r = d + 13; y = h + 17; e = g + 13; g = m + 18; a = o + 20; w = x + 12; i = r + 19; d = h + 15; h = 3; x = i + 6; c = w + 12. If h = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 6", "l": "b + 14", "d": "l + 5", "h": "d + 15", "s": "h + 16", "j": "s + 1", "q": "i + 3", "u": "q + 1", "f": "u + 1", "p": "f + 2", "t": "p + 1", "n": "t + 1", "i": 15}, "premises": {"i": 15}, "target": "j"}, "answer": {"steps": [["b", "i + 6", 21], ["l", "b + 14", 35], ["d", "l + 5", 40], ["h", "d + 15", 55], ["s", "h + 16", 71], ["j", "s + 1", 72]], "target_var_name": "j", "target_value": 72, "value_dict": {"i": 15, "b": 21, "l": 35, "d": 40, "h": 55, "s": 71, "j": 72}, "is_reverse": false}} | 817 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = i + 6; j = s + 1; q = i + 3; t = p + 1; i = 15; p = f + 2; f = u + 1; u = q + 1; d = l + 5; h = d + 15; s = h + 16; l = b + 14; n = t + 1. If i = 15, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = i + 6, which gives b = 21.\n2. Compute l using l = b + 14, which gives l = 35.\n3. Compute d using d = l + 5, which gives d = 40.\n4. Compute h using h = d + 15, which gives h = 55.\n5. Compute s using s = h + 16, which gives s = 71.\n6. Compute j using j = s + 1, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 817,
"question": "Consider a system of variables where each variable is defined as follows: b = i + 6; j = s + 1; q = i + 3; t = p + 1; i = 15; p = f + 2; f = u + 1; u = q + 1; d = l + 5; h = d + 15; s = h + 16; l = b + 14; n = t + 1. If i = 15, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 7", "r": "l + 3", "o": "r + 9", "x": "o + 3", "b": "x + 16", "j": "b + 4", "s": "f + 17", "k": "s + 10", "y": "k + 8", "i": "y + 15", "t": "i + 5", "d": "t + 16", "f": 4}, "premises": {"f": 4}, "target": "j"}, "answer": {"steps": [["l", "f + 7", 11], ["r", "l + 3", 14], ["o", "r + 9", 23], ["x", "o + 3", 26], ["b", "x + 16", 42], ["j", "b + 4", 46]], "target_var_name": "j", "target_value": 46, "value_dict": {"f": 4, "l": 11, "r": 14, "o": 23, "x": 26, "b": 42, "j": 46}, "is_reverse": false}} | 818 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 15; r = l + 3; k = s + 10; x = o + 3; d = t + 16; s = f + 17; o = r + 9; l = f + 7; b = x + 16; j = b + 4; y = k + 8; t = i + 5; f = 4. If f = 4, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = f + 7, which gives l = 11.\n2. Compute r using r = l + 3, which gives r = 14.\n3. Compute o using o = r + 9, which gives o = 23.\n4. Compute x using x = o + 3, which gives x = 26.\n5. Compute b using b = x + 16, which gives b = 42.\n6. Compute j using j = b + 4, which gives j = 46.\n\nThus, the final answer is j = \\boxed{46}.",
"index": 818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = y + 15; r = l + 3; k = s + 10; x = o + 3; d = t + 16; s = f + 17; o = r + 9; l = f + 7; b = x + 16; j = b + 4; y = k + 8; t = i + 5; f = 4. If f = 4, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 1", "c": "j + 1", "n": "c + 6", "l": "n + 13", "v": "l + 3", "f": "v + 15", "e": "i + 6", "k": "e + 6", "p": "k + 20", "s": "p + 18", "q": "s + 2", "x": "q + 16", "i": 13}, "premises": {"i": 13}, "target": "f"}, "answer": {"steps": [["j", "i + 1", 14], ["c", "j + 1", 15], ["n", "c + 6", 21], ["l", "n + 13", 34], ["v", "l + 3", 37], ["f", "v + 15", 52]], "target_var_name": "f", "target_value": 52, "value_dict": {"i": 13, "j": 14, "c": 15, "n": 21, "l": 34, "v": 37, "f": 52}, "is_reverse": false}} | 819 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 13; q = s + 2; v = l + 3; k = e + 6; s = p + 18; c = j + 1; f = v + 15; l = n + 13; n = c + 6; j = i + 1; e = i + 6; p = k + 20; x = q + 16. If i = 13, determine the value of f.",
"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 = i + 1, which gives j = 14.\n2. Compute c using c = j + 1, which gives c = 15.\n3. Compute n using n = c + 6, which gives n = 21.\n4. Compute l using l = n + 13, which gives l = 34.\n5. Compute v using v = l + 3, which gives v = 37.\n6. Compute f using f = v + 15, which gives f = 52.\n\nThus, the final answer is f = \\boxed{52}.",
"index": 819,
"question": "Consider a system of variables where each variable is defined as follows: i = 13; q = s + 2; v = l + 3; k = e + 6; s = p + 18; c = j + 1; f = v + 15; l = n + 13; n = c + 6; j = i + 1; e = i + 6; p = k + 20; x = q + 16. If i = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 4", "w": "b + 5", "l": "w + 19", "d": "l + 20", "a": "d + 8", "i": "a + 6", "r": "p + 12", "x": "r + 2", "f": "x + 12", "y": "f + 18", "v": "y + 18", "q": "v + 15", "p": 12}, "premises": {"p": 12}, "target": "i"}, "answer": {"steps": [["b", "p + 4", 16], ["w", "b + 5", 21], ["l", "w + 19", 40], ["d", "l + 20", 60], ["a", "d + 8", 68], ["i", "a + 6", 74]], "target_var_name": "i", "target_value": 74, "value_dict": {"p": 12, "b": 16, "w": 21, "l": 40, "d": 60, "a": 68, "i": 74}, "is_reverse": false}} | 820 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 5; r = p + 12; i = a + 6; l = w + 19; x = r + 2; v = y + 18; f = x + 12; p = 12; y = f + 18; b = p + 4; d = l + 20; a = d + 8; q = v + 15. If p = 12, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = p + 4, which gives b = 16.\n2. Compute w using w = b + 5, which gives w = 21.\n3. Compute l using l = w + 19, which gives l = 40.\n4. Compute d using d = l + 20, which gives d = 60.\n5. Compute a using a = d + 8, which gives a = 68.\n6. Compute i using i = a + 6, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 820,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 5; r = p + 12; i = a + 6; l = w + 19; x = r + 2; v = y + 18; f = x + 12; p = 12; y = f + 18; b = p + 4; d = l + 20; a = d + 8; q = v + 15. If p = 12, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 14", "b": "o + 4", "k": "b + 4", "g": "k + 4", "p": "g + 7", "d": "p + 7", "i": "w + 5", "n": "i + 12", "y": "n + 2", "q": "y + 14", "z": "q + 12", "a": "z + 12", "w": 9}, "premises": {"w": 9}, "target": "d"}, "answer": {"steps": [["p", "g + 7", "g + 14"], ["g", "k + 4", "k + 18"], ["k", "b + 4", "b + 22"], ["b", "o + 4", "o + 26"], ["o", "w + 14", "w + 40"], ["w", 9, "49"]], "target_var_name": "d", "target_value": 49, "value_dict": {"w": 9}, "is_reverse": true}} | 821 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 4; d = p + 7; n = i + 12; y = n + 2; b = o + 4; a = z + 12; w = 9; p = g + 7; k = b + 4; q = y + 14; i = w + 5; z = q + 12; o = w + 14. Given that w = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 7 to d, which gives d = g + 14.\n2. Substitute g = k + 4 to d, which gives d = k + 18.\n3. Substitute k = b + 4 to d, which gives d = b + 22.\n4. Substitute b = o + 4 to d, which gives d = o + 26.\n5. Substitute o = w + 14 to d, which gives d = w + 40.\n6. Substitute w = 9 to d, which gives d = 49.\n\nThus, the final answer is d = \\boxed{49}.",
"index": 821,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 4; d = p + 7; n = i + 12; y = n + 2; b = o + 4; a = z + 12; w = 9; p = g + 7; k = b + 4; q = y + 14; i = w + 5; z = q + 12; o = w + 14. Given that w = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 16", "k": "p + 7", "i": "k + 6", "c": "i + 1", "j": "c + 2", "x": "j + 5", "a": "r + 10", "t": "a + 9", "d": "t + 15", "l": "d + 13", "w": "l + 8", "b": "w + 14", "r": 5}, "premises": {"r": 5}, "target": "x"}, "answer": {"steps": [["p", "r + 16", 21], ["k", "p + 7", 28], ["i", "k + 6", 34], ["c", "i + 1", 35], ["j", "c + 2", 37], ["x", "j + 5", 42]], "target_var_name": "x", "target_value": 42, "value_dict": {"r": 5, "p": 21, "k": 28, "i": 34, "c": 35, "j": 37, "x": 42}, "is_reverse": false}} | 822 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 5; x = j + 5; k = p + 7; i = k + 6; a = r + 10; p = r + 16; j = c + 2; b = w + 14; l = d + 13; t = a + 9; c = i + 1; d = t + 15; w = l + 8. Given that r = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 16, which gives p = 21.\n2. Compute k using k = p + 7, which gives k = 28.\n3. Compute i using i = k + 6, which gives i = 34.\n4. Compute c using c = i + 1, which gives c = 35.\n5. Compute j using j = c + 2, which gives j = 37.\n6. Compute x using x = j + 5, which gives x = 42.\n\nThus, the final answer is x = \\boxed{42}.",
"index": 822,
"question": "Suppose a collection of variables is related by the following definitions: r = 5; x = j + 5; k = p + 7; i = k + 6; a = r + 10; p = r + 16; j = c + 2; b = w + 14; l = d + 13; t = a + 9; c = i + 1; d = t + 15; w = l + 8. Given that r = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 11", "h": "i + 10", "m": "h + 9", "f": "m + 9", "a": "f + 6", "e": "a + 3", "g": "j + 17", "x": "g + 7", "q": "x + 7", "t": "q + 2", "u": "t + 7", "l": "u + 11", "j": 4}, "premises": {"j": 4}, "target": "e"}, "answer": {"steps": [["a", "f + 6", "f + 9"], ["f", "m + 9", "m + 18"], ["m", "h + 9", "h + 27"], ["h", "i + 10", "i + 37"], ["i", "j + 11", "j + 48"], ["j", 4, "52"]], "target_var_name": "e", "target_value": 52, "value_dict": {"j": 4}, "is_reverse": true}} | 823 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 2; e = a + 3; h = i + 10; q = x + 7; i = j + 11; j = 4; u = t + 7; m = h + 9; l = u + 11; x = g + 7; g = j + 17; a = f + 6; f = m + 9. Given that j = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 6 to e, which gives e = f + 9.\n2. Substitute f = m + 9 to e, which gives e = m + 18.\n3. Substitute m = h + 9 to e, which gives e = h + 27.\n4. Substitute h = i + 10 to e, which gives e = i + 37.\n5. Substitute i = j + 11 to e, which gives e = j + 48.\n6. Substitute j = 4 to e, which gives e = 52.\n\nThus, the final answer is e = \\boxed{52}.",
"index": 823,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 2; e = a + 3; h = i + 10; q = x + 7; i = j + 11; j = 4; u = t + 7; m = h + 9; l = u + 11; x = g + 7; g = j + 17; a = f + 6; f = m + 9. Given that j = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 7", "c": "v + 2", "g": "c + 12", "s": "g + 1", "m": "s + 12", "k": "m + 7", "b": "r + 18", "q": "b + 9", "i": "q + 2", "h": "i + 8", "f": "h + 20", "y": "f + 12", "r": 15}, "premises": {"r": 15}, "target": "k"}, "answer": {"steps": [["v", "r + 7", 22], ["c", "v + 2", 24], ["g", "c + 12", 36], ["s", "g + 1", 37], ["m", "s + 12", 49], ["k", "m + 7", 56]], "target_var_name": "k", "target_value": 56, "value_dict": {"r": 15, "v": 22, "c": 24, "g": 36, "s": 37, "m": 49, "k": 56}, "is_reverse": false}} | 824 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; b = r + 18; c = v + 2; m = s + 12; h = i + 8; k = m + 7; v = r + 7; q = b + 9; y = f + 12; s = g + 1; r = 15; f = h + 20; g = c + 12. If r = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = r + 7, which gives v = 22.\n2. Compute c using c = v + 2, which gives c = 24.\n3. Compute g using g = c + 12, which gives g = 36.\n4. Compute s using s = g + 1, which gives s = 37.\n5. Compute m using m = s + 12, which gives m = 49.\n6. Compute k using k = m + 7, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = q + 2; b = r + 18; c = v + 2; m = s + 12; h = i + 8; k = m + 7; v = r + 7; q = b + 9; y = f + 12; s = g + 1; r = 15; f = h + 20; g = c + 12. If r = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 8", "q": "i + 5", "s": "q + 10", "v": "s + 4", "k": "v + 7", "m": "k + 18", "y": "p + 6", "r": "y + 11", "f": "r + 14", "h": "f + 18", "c": "h + 15", "u": "c + 11", "p": 5}, "premises": {"p": 5}, "target": "m"}, "answer": {"steps": [["i", "p + 8", 13], ["q", "i + 5", 18], ["s", "q + 10", 28], ["v", "s + 4", 32], ["k", "v + 7", 39], ["m", "k + 18", 57]], "target_var_name": "m", "target_value": 57, "value_dict": {"p": 5, "i": 13, "q": 18, "s": 28, "v": 32, "k": 39, "m": 57}, "is_reverse": false}} | 825 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = r + 14; h = f + 18; m = k + 18; i = p + 8; q = i + 5; k = v + 7; p = 5; y = p + 6; c = h + 15; v = s + 4; s = q + 10; r = y + 11; u = c + 11. If p = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = p + 8, which gives i = 13.\n2. Compute q using q = i + 5, which gives q = 18.\n3. Compute s using s = q + 10, which gives s = 28.\n4. Compute v using v = s + 4, which gives v = 32.\n5. Compute k using k = v + 7, which gives k = 39.\n6. Compute m using m = k + 18, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = r + 14; h = f + 18; m = k + 18; i = p + 8; q = i + 5; k = v + 7; p = 5; y = p + 6; c = h + 15; v = s + 4; s = q + 10; r = y + 11; u = c + 11. If p = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 5", "q": "k + 15", "t": "q + 12", "w": "t + 15", "s": "w + 9", "n": "s + 3", "c": "r + 11", "u": "c + 14", "a": "u + 12", "o": "a + 18", "i": "o + 12", "l": "i + 20", "r": 1}, "premises": {"r": 1}, "target": "n"}, "answer": {"steps": [["s", "w + 9", "w + 12"], ["w", "t + 15", "t + 27"], ["t", "q + 12", "q + 39"], ["q", "k + 15", "k + 54"], ["k", "r + 5", "r + 59"], ["r", 1, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"r": 1}, "is_reverse": true}} | 826 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 15; u = c + 14; s = w + 9; t = q + 12; i = o + 12; a = u + 12; w = t + 15; l = i + 20; o = a + 18; n = s + 3; c = r + 11; r = 1; k = r + 5. If r = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 9 to n, which gives n = w + 12.\n2. Substitute w = t + 15 to n, which gives n = t + 27.\n3. Substitute t = q + 12 to n, which gives n = q + 39.\n4. Substitute q = k + 15 to n, which gives n = k + 54.\n5. Substitute k = r + 5 to n, which gives n = r + 59.\n6. Substitute r = 1 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 15; u = c + 14; s = w + 9; t = q + 12; i = o + 12; a = u + 12; w = t + 15; l = i + 20; o = a + 18; n = s + 3; c = r + 11; r = 1; k = r + 5. If r = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 12", "n": "m + 16", "r": "n + 12", "v": "r + 16", "h": "v + 10", "k": "h + 18", "b": "f + 13", "d": "b + 15", "u": "d + 9", "z": "u + 7", "x": "z + 19", "c": "x + 13", "f": 20}, "premises": {"f": 20}, "target": "k"}, "answer": {"steps": [["m", "f + 12", 32], ["n", "m + 16", 48], ["r", "n + 12", 60], ["v", "r + 16", 76], ["h", "v + 10", 86], ["k", "h + 18", 104]], "target_var_name": "k", "target_value": 104, "value_dict": {"f": 20, "m": 32, "n": 48, "r": 60, "v": 76, "h": 86, "k": 104}, "is_reverse": false}} | 827 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 16; x = z + 19; b = f + 13; c = x + 13; z = u + 7; r = n + 12; n = m + 16; k = h + 18; d = b + 15; m = f + 12; f = 20; u = d + 9; h = v + 10. If f = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = f + 12, which gives m = 32.\n2. Compute n using n = m + 16, which gives n = 48.\n3. Compute r using r = n + 12, which gives r = 60.\n4. Compute v using v = r + 16, which gives v = 76.\n5. Compute h using h = v + 10, which gives h = 86.\n6. Compute k using k = h + 18, which gives k = 104.\n\nThus, the final answer is k = \\boxed{104}.",
"index": 827,
"question": "Consider a system of variables where each variable is defined as follows: v = r + 16; x = z + 19; b = f + 13; c = x + 13; z = u + 7; r = n + 12; n = m + 16; k = h + 18; d = b + 15; m = f + 12; f = 20; u = d + 9; h = v + 10. If f = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 6", "a": "m + 2", "g": "a + 7", "b": "g + 1", "c": "b + 14", "j": "c + 1", "w": "y + 4", "x": "w + 18", "l": "x + 16", "d": "l + 14", "n": "d + 16", "e": "n + 8", "y": 13}, "premises": {"y": 13}, "target": "j"}, "answer": {"steps": [["m", "y + 6", 19], ["a", "m + 2", 21], ["g", "a + 7", 28], ["b", "g + 1", 29], ["c", "b + 14", 43], ["j", "c + 1", 44]], "target_var_name": "j", "target_value": 44, "value_dict": {"y": 13, "m": 19, "a": 21, "g": 28, "b": 29, "c": 43, "j": 44}, "is_reverse": false}} | 828 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 16; g = a + 7; x = w + 18; b = g + 1; e = n + 8; y = 13; d = l + 14; c = b + 14; m = y + 6; j = c + 1; w = y + 4; n = d + 16; a = m + 2. If y = 13, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = y + 6, which gives m = 19.\n2. Compute a using a = m + 2, which gives a = 21.\n3. Compute g using g = a + 7, which gives g = 28.\n4. Compute b using b = g + 1, which gives b = 29.\n5. Compute c using c = b + 14, which gives c = 43.\n6. Compute j using j = c + 1, which gives j = 44.\n\nThus, the final answer is j = \\boxed{44}.",
"index": 828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 16; g = a + 7; x = w + 18; b = g + 1; e = n + 8; y = 13; d = l + 14; c = b + 14; m = y + 6; j = c + 1; w = y + 4; n = d + 16; a = m + 2. If y = 13, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 11", "e": "c + 11", "n": "e + 3", "l": "n + 12", "o": "l + 1", "p": "o + 6", "i": "f + 9", "j": "i + 16", "d": "j + 7", "v": "d + 4", "k": "v + 12", "t": "k + 12", "f": 14}, "premises": {"f": 14}, "target": "p"}, "answer": {"steps": [["c", "f + 11", 25], ["e", "c + 11", 36], ["n", "e + 3", 39], ["l", "n + 12", 51], ["o", "l + 1", 52], ["p", "o + 6", 58]], "target_var_name": "p", "target_value": 58, "value_dict": {"f": 14, "c": 25, "e": 36, "n": 39, "l": 51, "o": 52, "p": 58}, "is_reverse": false}} | 829 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 1; l = n + 12; k = v + 12; f = 14; n = e + 3; t = k + 12; j = i + 16; p = o + 6; v = d + 4; e = c + 11; i = f + 9; c = f + 11; d = j + 7. Given that f = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = f + 11, which gives c = 25.\n2. Compute e using e = c + 11, which gives e = 36.\n3. Compute n using n = e + 3, which gives n = 39.\n4. Compute l using l = n + 12, which gives l = 51.\n5. Compute o using o = l + 1, which gives o = 52.\n6. Compute p using p = o + 6, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 829,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 1; l = n + 12; k = v + 12; f = 14; n = e + 3; t = k + 12; j = i + 16; p = o + 6; v = d + 4; e = c + 11; i = f + 9; c = f + 11; d = j + 7. Given that f = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 17", "v": "j + 15", "t": "v + 13", "n": "t + 3", "x": "n + 10", "q": "x + 18", "u": "r + 3", "w": "u + 11", "h": "w + 12", "p": "h + 14", "s": "p + 2", "b": "s + 17", "r": 6}, "premises": {"r": 6}, "target": "q"}, "answer": {"steps": [["j", "r + 17", 23], ["v", "j + 15", 38], ["t", "v + 13", 51], ["n", "t + 3", 54], ["x", "n + 10", 64], ["q", "x + 18", 82]], "target_var_name": "q", "target_value": 82, "value_dict": {"r": 6, "j": 23, "v": 38, "t": 51, "n": 54, "x": 64, "q": 82}, "is_reverse": false}} | 830 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = p + 2; h = w + 12; q = x + 18; x = n + 10; u = r + 3; t = v + 13; j = r + 17; p = h + 14; b = s + 17; n = t + 3; v = j + 15; r = 6; w = u + 11. If r = 6, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = r + 17, which gives j = 23.\n2. Compute v using v = j + 15, which gives v = 38.\n3. Compute t using t = v + 13, which gives t = 51.\n4. Compute n using n = t + 3, which gives n = 54.\n5. Compute x using x = n + 10, which gives x = 64.\n6. Compute q using q = x + 18, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 830,
"question": "Consider a system of variables where each variable is defined as follows: s = p + 2; h = w + 12; q = x + 18; x = n + 10; u = r + 3; t = v + 13; j = r + 17; p = h + 14; b = s + 17; n = t + 3; v = j + 15; r = 6; w = u + 11. If r = 6, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 16", "u": "v + 7", "s": "u + 16", "k": "s + 9", "g": "k + 11", "n": "g + 1", "a": "c + 7", "e": "a + 5", "d": "e + 7", "x": "d + 12", "y": "x + 11", "b": "y + 18", "c": 1}, "premises": {"c": 1}, "target": "n"}, "answer": {"steps": [["g", "k + 11", "k + 12"], ["k", "s + 9", "s + 21"], ["s", "u + 16", "u + 37"], ["u", "v + 7", "v + 44"], ["v", "c + 16", "c + 60"], ["c", 1, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"c": 1}, "is_reverse": true}} | 831 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = c + 7; n = g + 1; g = k + 11; v = c + 16; c = 1; u = v + 7; b = y + 18; e = a + 5; s = u + 16; x = d + 12; k = s + 9; d = e + 7; y = x + 11. If c = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 11 to n, which gives n = k + 12.\n2. Substitute k = s + 9 to n, which gives n = s + 21.\n3. Substitute s = u + 16 to n, which gives n = u + 37.\n4. Substitute u = v + 7 to n, which gives n = v + 44.\n5. Substitute v = c + 16 to n, which gives n = c + 60.\n6. Substitute c = 1 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 831,
"question": "Consider a system of variables where each variable is defined as follows: a = c + 7; n = g + 1; g = k + 11; v = c + 16; c = 1; u = v + 7; b = y + 18; e = a + 5; s = u + 16; x = d + 12; k = s + 9; d = e + 7; y = x + 11. If c = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 14", "b": "c + 13", "o": "b + 6", "r": "o + 13", "y": "r + 5", "g": "y + 11", "u": "x + 5", "s": "u + 6", "t": "s + 19", "k": "t + 7", "m": "k + 8", "e": "m + 5", "x": 8}, "premises": {"x": 8}, "target": "g"}, "answer": {"steps": [["y", "r + 5", "r + 16"], ["r", "o + 13", "o + 29"], ["o", "b + 6", "b + 35"], ["b", "c + 13", "c + 48"], ["c", "x + 14", "x + 62"], ["x", 8, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"x": 8}, "is_reverse": true}} | 832 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 14; m = k + 8; k = t + 7; r = o + 13; s = u + 6; e = m + 5; y = r + 5; b = c + 13; o = b + 6; g = y + 11; t = s + 19; x = 8; u = x + 5. If x = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 5 to g, which gives g = r + 16.\n2. Substitute r = o + 13 to g, which gives g = o + 29.\n3. Substitute o = b + 6 to g, which gives g = b + 35.\n4. Substitute b = c + 13 to g, which gives g = c + 48.\n5. Substitute c = x + 14 to g, which gives g = x + 62.\n6. Substitute x = 8 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 14; m = k + 8; k = t + 7; r = o + 13; s = u + 6; e = m + 5; y = r + 5; b = c + 13; o = b + 6; g = y + 11; t = s + 19; x = 8; u = x + 5. If x = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 12", "s": "x + 6", "v": "s + 16", "h": "v + 18", "q": "h + 10", "o": "q + 5", "r": "u + 12", "l": "r + 15", "b": "l + 16", "c": "b + 2", "n": "c + 11", "e": "n + 20", "u": 16}, "premises": {"u": 16}, "target": "o"}, "answer": {"steps": [["q", "h + 10", "h + 15"], ["h", "v + 18", "v + 33"], ["v", "s + 16", "s + 49"], ["s", "x + 6", "x + 55"], ["x", "u + 12", "u + 67"], ["u", 16, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"u": 16}, "is_reverse": true}} | 833 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 5; x = u + 12; h = v + 18; r = u + 12; u = 16; q = h + 10; v = s + 16; l = r + 15; c = b + 2; e = n + 20; b = l + 16; n = c + 11; s = x + 6. If u = 16, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 10 to o, which gives o = h + 15.\n2. Substitute h = v + 18 to o, which gives o = v + 33.\n3. Substitute v = s + 16 to o, which gives o = s + 49.\n4. Substitute s = x + 6 to o, which gives o = x + 55.\n5. Substitute x = u + 12 to o, which gives o = u + 67.\n6. Substitute u = 16 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 5; x = u + 12; h = v + 18; r = u + 12; u = 16; q = h + 10; v = s + 16; l = r + 15; c = b + 2; e = n + 20; b = l + 16; n = c + 11; s = x + 6. If u = 16, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 18", "o": "z + 2", "c": "o + 10", "u": "c + 10", "h": "u + 4", "k": "h + 18", "a": "e + 9", "t": "a + 14", "b": "t + 20", "x": "b + 19", "v": "x + 16", "m": "v + 4", "e": 20}, "premises": {"e": 20}, "target": "k"}, "answer": {"steps": [["h", "u + 4", "u + 22"], ["u", "c + 10", "c + 32"], ["c", "o + 10", "o + 42"], ["o", "z + 2", "z + 44"], ["z", "e + 18", "e + 62"], ["e", 20, "82"]], "target_var_name": "k", "target_value": 82, "value_dict": {"e": 20}, "is_reverse": true}} | 834 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 9; t = a + 14; e = 20; o = z + 2; x = b + 19; h = u + 4; u = c + 10; b = t + 20; m = v + 4; c = o + 10; z = e + 18; k = h + 18; v = x + 16. If e = 20, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 4 to k, which gives k = u + 22.\n2. Substitute u = c + 10 to k, which gives k = c + 32.\n3. Substitute c = o + 10 to k, which gives k = o + 42.\n4. Substitute o = z + 2 to k, which gives k = z + 44.\n5. Substitute z = e + 18 to k, which gives k = e + 62.\n6. Substitute e = 20 to k, which gives k = 82.\n\nThus, the final answer is k = \\boxed{82}.",
"index": 834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 9; t = a + 14; e = 20; o = z + 2; x = b + 19; h = u + 4; u = c + 10; b = t + 20; m = v + 4; c = o + 10; z = e + 18; k = h + 18; v = x + 16. If e = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 10", "w": "f + 9", "l": "w + 15", "h": "l + 14", "c": "h + 8", "y": "c + 20", "j": "o + 8", "x": "j + 1", "k": "x + 1", "q": "k + 17", "t": "q + 3", "m": "t + 9", "o": 13}, "premises": {"o": 13}, "target": "y"}, "answer": {"steps": [["f", "o + 10", 23], ["w", "f + 9", 32], ["l", "w + 15", 47], ["h", "l + 14", 61], ["c", "h + 8", 69], ["y", "c + 20", 89]], "target_var_name": "y", "target_value": 89, "value_dict": {"o": 13, "f": 23, "w": 32, "l": 47, "h": 61, "c": 69, "y": 89}, "is_reverse": false}} | 835 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = c + 20; x = j + 1; m = t + 9; k = x + 1; q = k + 17; o = 13; c = h + 8; j = o + 8; h = l + 14; w = f + 9; l = w + 15; t = q + 3; f = o + 10. Given that o = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = o + 10, which gives f = 23.\n2. Compute w using w = f + 9, which gives w = 32.\n3. Compute l using l = w + 15, which gives l = 47.\n4. Compute h using h = l + 14, which gives h = 61.\n5. Compute c using c = h + 8, which gives c = 69.\n6. Compute y using y = c + 20, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 835,
"question": "Suppose a collection of variables is related by the following definitions: y = c + 20; x = j + 1; m = t + 9; k = x + 1; q = k + 17; o = 13; c = h + 8; j = o + 8; h = l + 14; w = f + 9; l = w + 15; t = q + 3; f = o + 10. Given that o = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 10", "j": "m + 10", "r": "j + 17", "z": "r + 5", "y": "z + 16", "e": "y + 2", "s": "u + 15", "f": "s + 4", "w": "f + 14", "d": "w + 14", "k": "d + 4", "q": "k + 3", "u": 8}, "premises": {"u": 8}, "target": "e"}, "answer": {"steps": [["y", "z + 16", "z + 18"], ["z", "r + 5", "r + 23"], ["r", "j + 17", "j + 40"], ["j", "m + 10", "m + 50"], ["m", "u + 10", "u + 60"], ["u", 8, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"u": 8}, "is_reverse": true}} | 836 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = d + 4; j = m + 10; r = j + 17; f = s + 4; d = w + 14; y = z + 16; m = u + 10; q = k + 3; u = 8; s = u + 15; z = r + 5; w = f + 14; e = y + 2. If u = 8, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 16 to e, which gives e = z + 18.\n2. Substitute z = r + 5 to e, which gives e = r + 23.\n3. Substitute r = j + 17 to e, which gives e = j + 40.\n4. Substitute j = m + 10 to e, which gives e = m + 50.\n5. Substitute m = u + 10 to e, which gives e = u + 60.\n6. Substitute u = 8 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 836,
"question": "Consider a system of variables where each variable is defined as follows: k = d + 4; j = m + 10; r = j + 17; f = s + 4; d = w + 14; y = z + 16; m = u + 10; q = k + 3; u = 8; s = u + 15; z = r + 5; w = f + 14; e = y + 2. If u = 8, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 16", "q": "b + 12", "t": "q + 2", "x": "t + 15", "o": "x + 18", "s": "o + 18", "p": "a + 10", "v": "p + 2", "n": "v + 10", "c": "n + 6", "g": "c + 15", "j": "g + 15", "a": 5}, "premises": {"a": 5}, "target": "s"}, "answer": {"steps": [["o", "x + 18", "x + 36"], ["x", "t + 15", "t + 51"], ["t", "q + 2", "q + 53"], ["q", "b + 12", "b + 65"], ["b", "a + 16", "a + 81"], ["a", 5, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"a": 5}, "is_reverse": true}} | 837 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 5; c = n + 6; o = x + 18; q = b + 12; g = c + 15; v = p + 2; x = t + 15; p = a + 10; j = g + 15; n = v + 10; b = a + 16; t = q + 2; s = o + 18. If a = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 18 to s, which gives s = x + 36.\n2. Substitute x = t + 15 to s, which gives s = t + 51.\n3. Substitute t = q + 2 to s, which gives s = q + 53.\n4. Substitute q = b + 12 to s, which gives s = b + 65.\n5. Substitute b = a + 16 to s, which gives s = a + 81.\n6. Substitute a = 5 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 837,
"question": "Consider a system of variables where each variable is defined as follows: a = 5; c = n + 6; o = x + 18; q = b + 12; g = c + 15; v = p + 2; x = t + 15; p = a + 10; j = g + 15; n = v + 10; b = a + 16; t = q + 2; s = o + 18. If a = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 14", "j": "w + 8", "g": "j + 18", "k": "g + 7", "e": "k + 19", "z": "e + 16", "b": "q + 10", "f": "b + 11", "a": "f + 3", "s": "a + 6", "c": "s + 6", "h": "c + 10", "q": 8}, "premises": {"q": 8}, "target": "z"}, "answer": {"steps": [["w", "q + 14", 22], ["j", "w + 8", 30], ["g", "j + 18", 48], ["k", "g + 7", 55], ["e", "k + 19", 74], ["z", "e + 16", 90]], "target_var_name": "z", "target_value": 90, "value_dict": {"q": 8, "w": 22, "j": 30, "g": 48, "k": 55, "e": 74, "z": 90}, "is_reverse": false}} | 838 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 6; h = c + 10; b = q + 10; z = e + 16; w = q + 14; a = f + 3; f = b + 11; q = 8; j = w + 8; c = s + 6; g = j + 18; e = k + 19; k = g + 7. Given that q = 8, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = q + 14, which gives w = 22.\n2. Compute j using j = w + 8, which gives j = 30.\n3. Compute g using g = j + 18, which gives g = 48.\n4. Compute k using k = g + 7, which gives k = 55.\n5. Compute e using e = k + 19, which gives e = 74.\n6. Compute z using z = e + 16, which gives z = 90.\n\nThus, the final answer is z = \\boxed{90}.",
"index": 838,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 6; h = c + 10; b = q + 10; z = e + 16; w = q + 14; a = f + 3; f = b + 11; q = 8; j = w + 8; c = s + 6; g = j + 18; e = k + 19; k = g + 7. Given that q = 8, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 18", "b": "r + 13", "l": "b + 9", "c": "l + 17", "s": "c + 14", "i": "s + 3", "z": "p + 6", "a": "z + 3", "u": "a + 12", "x": "u + 6", "m": "x + 16", "t": "m + 3", "p": 19}, "premises": {"p": 19}, "target": "i"}, "answer": {"steps": [["r", "p + 18", 37], ["b", "r + 13", 50], ["l", "b + 9", 59], ["c", "l + 17", 76], ["s", "c + 14", 90], ["i", "s + 3", 93]], "target_var_name": "i", "target_value": 93, "value_dict": {"p": 19, "r": 37, "b": 50, "l": 59, "c": 76, "s": 90, "i": 93}, "is_reverse": false}} | 839 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = c + 14; a = z + 3; z = p + 6; b = r + 13; x = u + 6; m = x + 16; p = 19; l = b + 9; r = p + 18; c = l + 17; u = a + 12; i = s + 3; t = m + 3. Given that p = 19, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = p + 18, which gives r = 37.\n2. Compute b using b = r + 13, which gives b = 50.\n3. Compute l using l = b + 9, which gives l = 59.\n4. Compute c using c = l + 17, which gives c = 76.\n5. Compute s using s = c + 14, which gives s = 90.\n6. Compute i using i = s + 3, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 839,
"question": "Suppose a collection of variables is related by the following definitions: s = c + 14; a = z + 3; z = p + 6; b = r + 13; x = u + 6; m = x + 16; p = 19; l = b + 9; r = p + 18; c = l + 17; u = a + 12; i = s + 3; t = m + 3. Given that p = 19, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 12", "m": "u + 14", "c": "m + 1", "n": "c + 12", "h": "n + 19", "d": "h + 11", "g": "i + 13", "v": "g + 10", "s": "v + 20", "w": "s + 9", "a": "w + 19", "t": "a + 20", "i": 18}, "premises": {"i": 18}, "target": "d"}, "answer": {"steps": [["h", "n + 19", "n + 30"], ["n", "c + 12", "c + 42"], ["c", "m + 1", "m + 43"], ["m", "u + 14", "u + 57"], ["u", "i + 12", "i + 69"], ["i", 18, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"i": 18}, "is_reverse": true}} | 840 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 20; n = c + 12; a = w + 19; d = h + 11; v = g + 10; w = s + 9; c = m + 1; m = u + 14; s = v + 20; h = n + 19; u = i + 12; i = 18; g = i + 13. If i = 18, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 19 to d, which gives d = n + 30.\n2. Substitute n = c + 12 to d, which gives d = c + 42.\n3. Substitute c = m + 1 to d, which gives d = m + 43.\n4. Substitute m = u + 14 to d, which gives d = u + 57.\n5. Substitute u = i + 12 to d, which gives d = i + 69.\n6. Substitute i = 18 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 840,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 20; n = c + 12; a = w + 19; d = h + 11; v = g + 10; w = s + 9; c = m + 1; m = u + 14; s = v + 20; h = n + 19; u = i + 12; i = 18; g = i + 13. If i = 18, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 13", "l": "j + 11", "f": "l + 14", "t": "f + 11", "r": "t + 15", "p": "r + 2", "y": "d + 15", "s": "y + 20", "n": "s + 20", "x": "n + 16", "h": "x + 13", "i": "h + 7", "d": 12}, "premises": {"d": 12}, "target": "p"}, "answer": {"steps": [["j", "d + 13", 25], ["l", "j + 11", 36], ["f", "l + 14", 50], ["t", "f + 11", 61], ["r", "t + 15", 76], ["p", "r + 2", 78]], "target_var_name": "p", "target_value": 78, "value_dict": {"d": 12, "j": 25, "l": 36, "f": 50, "t": 61, "r": 76, "p": 78}, "is_reverse": false}} | 841 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 13; x = n + 16; l = j + 11; i = h + 7; t = f + 11; d = 12; f = l + 14; j = d + 13; y = d + 15; n = s + 20; s = y + 20; p = r + 2; r = t + 15. If d = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = d + 13, which gives j = 25.\n2. Compute l using l = j + 11, which gives l = 36.\n3. Compute f using f = l + 14, which gives f = 50.\n4. Compute t using t = f + 11, which gives t = 61.\n5. Compute r using r = t + 15, which gives r = 76.\n6. Compute p using p = r + 2, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 841,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 13; x = n + 16; l = j + 11; i = h + 7; t = f + 11; d = 12; f = l + 14; j = d + 13; y = d + 15; n = s + 20; s = y + 20; p = r + 2; r = t + 15. If d = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 19", "j": "y + 13", "h": "j + 4", "t": "h + 3", "s": "t + 14", "w": "s + 16", "i": "q + 8", "r": "i + 1", "l": "r + 12", "p": "l + 19", "z": "p + 18", "d": "z + 6", "q": 3}, "premises": {"q": 3}, "target": "w"}, "answer": {"steps": [["s", "t + 14", "t + 30"], ["t", "h + 3", "h + 33"], ["h", "j + 4", "j + 37"], ["j", "y + 13", "y + 50"], ["y", "q + 19", "q + 69"], ["q", 3, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"q": 3}, "is_reverse": true}} | 842 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 18; t = h + 3; d = z + 6; r = i + 1; i = q + 8; l = r + 12; w = s + 16; y = q + 19; h = j + 4; s = t + 14; p = l + 19; j = y + 13; q = 3. If q = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 14 to w, which gives w = t + 30.\n2. Substitute t = h + 3 to w, which gives w = h + 33.\n3. Substitute h = j + 4 to w, which gives w = j + 37.\n4. Substitute j = y + 13 to w, which gives w = y + 50.\n5. Substitute y = q + 19 to w, which gives w = q + 69.\n6. Substitute q = 3 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 18; t = h + 3; d = z + 6; r = i + 1; i = q + 8; l = r + 12; w = s + 16; y = q + 19; h = j + 4; s = t + 14; p = l + 19; j = y + 13; q = 3. If q = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 16", "p": "j + 2", "n": "p + 2", "t": "n + 19", "w": "t + 20", "x": "w + 15", "z": "k + 5", "b": "z + 6", "h": "b + 19", "s": "h + 4", "i": "s + 14", "f": "i + 11", "k": 15}, "premises": {"k": 15}, "target": "x"}, "answer": {"steps": [["j", "k + 16", 31], ["p", "j + 2", 33], ["n", "p + 2", 35], ["t", "n + 19", 54], ["w", "t + 20", 74], ["x", "w + 15", 89]], "target_var_name": "x", "target_value": 89, "value_dict": {"k": 15, "j": 31, "p": 33, "n": 35, "t": 54, "w": 74, "x": 89}, "is_reverse": false}} | 843 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 19; w = t + 20; f = i + 11; n = p + 2; i = s + 14; p = j + 2; b = z + 6; s = h + 4; t = n + 19; j = k + 16; z = k + 5; x = w + 15; k = 15. If k = 15, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = k + 16, which gives j = 31.\n2. Compute p using p = j + 2, which gives p = 33.\n3. Compute n using n = p + 2, which gives n = 35.\n4. Compute t using t = n + 19, which gives t = 54.\n5. Compute w using w = t + 20, which gives w = 74.\n6. Compute x using x = w + 15, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 843,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 19; w = t + 20; f = i + 11; n = p + 2; i = s + 14; p = j + 2; b = z + 6; s = h + 4; t = n + 19; j = k + 16; z = k + 5; x = w + 15; k = 15. If k = 15, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "q": "s + 1", "a": "q + 4", "b": "a + 17", "m": "b + 3", "j": "m + 8", "d": "f + 1", "x": "d + 20", "h": "x + 4", "n": "h + 19", "i": "n + 10", "l": "i + 15", "f": 18}, "premises": {"f": 18}, "target": "j"}, "answer": {"steps": [["m", "b + 3", "b + 11"], ["b", "a + 17", "a + 28"], ["a", "q + 4", "q + 32"], ["q", "s + 1", "s + 33"], ["s", "f + 16", "f + 49"], ["f", 18, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"f": 18}, "is_reverse": true}} | 844 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 17; h = x + 4; a = q + 4; q = s + 1; x = d + 20; s = f + 16; n = h + 19; d = f + 1; m = b + 3; j = m + 8; l = i + 15; f = 18; i = n + 10. If f = 18, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 3 to j, which gives j = b + 11.\n2. Substitute b = a + 17 to j, which gives j = a + 28.\n3. Substitute a = q + 4 to j, which gives j = q + 32.\n4. Substitute q = s + 1 to j, which gives j = s + 33.\n5. Substitute s = f + 16 to j, which gives j = f + 49.\n6. Substitute f = 18 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 844,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 17; h = x + 4; a = q + 4; q = s + 1; x = d + 20; s = f + 16; n = h + 19; d = f + 1; m = b + 3; j = m + 8; l = i + 15; f = 18; i = n + 10. If f = 18, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 1", "u": "t + 5", "z": "u + 15", "x": "z + 7", "p": "x + 17", "n": "p + 15", "r": "m + 15", "s": "r + 12", "c": "s + 8", "k": "c + 10", "h": "k + 1", "a": "h + 16", "m": 15}, "premises": {"m": 15}, "target": "n"}, "answer": {"steps": [["p", "x + 17", "x + 32"], ["x", "z + 7", "z + 39"], ["z", "u + 15", "u + 54"], ["u", "t + 5", "t + 59"], ["t", "m + 1", "m + 60"], ["m", 15, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"m": 15}, "is_reverse": true}} | 845 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 7; n = p + 15; z = u + 15; r = m + 15; u = t + 5; p = x + 17; s = r + 12; c = s + 8; k = c + 10; h = k + 1; t = m + 1; m = 15; a = h + 16. If m = 15, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 17 to n, which gives n = x + 32.\n2. Substitute x = z + 7 to n, which gives n = z + 39.\n3. Substitute z = u + 15 to n, which gives n = u + 54.\n4. Substitute u = t + 5 to n, which gives n = t + 59.\n5. Substitute t = m + 1 to n, which gives n = m + 60.\n6. Substitute m = 15 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 845,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 7; n = p + 15; z = u + 15; r = m + 15; u = t + 5; p = x + 17; s = r + 12; c = s + 8; k = c + 10; h = k + 1; t = m + 1; m = 15; a = h + 16. If m = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 18", "z": "o + 14", "c": "z + 19", "t": "c + 9", "x": "t + 3", "k": "x + 5", "j": "s + 15", "l": "j + 7", "g": "l + 8", "w": "g + 7", "p": "w + 19", "q": "p + 11", "s": 5}, "premises": {"s": 5}, "target": "k"}, "answer": {"steps": [["o", "s + 18", 23], ["z", "o + 14", 37], ["c", "z + 19", 56], ["t", "c + 9", 65], ["x", "t + 3", 68], ["k", "x + 5", 73]], "target_var_name": "k", "target_value": 73, "value_dict": {"s": 5, "o": 23, "z": 37, "c": 56, "t": 65, "x": 68, "k": 73}, "is_reverse": false}} | 846 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 19; k = x + 5; w = g + 7; s = 5; o = s + 18; c = z + 19; q = p + 11; g = l + 8; j = s + 15; z = o + 14; l = j + 7; x = t + 3; t = c + 9. If s = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = s + 18, which gives o = 23.\n2. Compute z using z = o + 14, which gives z = 37.\n3. Compute c using c = z + 19, which gives c = 56.\n4. Compute t using t = c + 9, which gives t = 65.\n5. Compute x using x = t + 3, which gives x = 68.\n6. Compute k using k = x + 5, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 846,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 19; k = x + 5; w = g + 7; s = 5; o = s + 18; c = z + 19; q = p + 11; g = l + 8; j = s + 15; z = o + 14; l = j + 7; x = t + 3; t = c + 9. If s = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 18", "t": "x + 10", "f": "t + 4", "l": "f + 5", "e": "l + 14", "a": "e + 8", "b": "n + 12", "s": "b + 6", "q": "s + 20", "z": "q + 1", "p": "z + 18", "g": "p + 8", "n": 15}, "premises": {"n": 15}, "target": "a"}, "answer": {"steps": [["x", "n + 18", 33], ["t", "x + 10", 43], ["f", "t + 4", 47], ["l", "f + 5", 52], ["e", "l + 14", 66], ["a", "e + 8", 74]], "target_var_name": "a", "target_value": 74, "value_dict": {"n": 15, "x": 33, "t": 43, "f": 47, "l": 52, "e": 66, "a": 74}, "is_reverse": false}} | 847 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = b + 6; l = f + 5; p = z + 18; t = x + 10; n = 15; z = q + 1; x = n + 18; e = l + 14; b = n + 12; q = s + 20; g = p + 8; f = t + 4; a = e + 8. Given that n = 15, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = n + 18, which gives x = 33.\n2. Compute t using t = x + 10, which gives t = 43.\n3. Compute f using f = t + 4, which gives f = 47.\n4. Compute l using l = f + 5, which gives l = 52.\n5. Compute e using e = l + 14, which gives e = 66.\n6. Compute a using a = e + 8, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 847,
"question": "Suppose a collection of variables is related by the following definitions: s = b + 6; l = f + 5; p = z + 18; t = x + 10; n = 15; z = q + 1; x = n + 18; e = l + 14; b = n + 12; q = s + 20; g = p + 8; f = t + 4; a = e + 8. Given that n = 15, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 19", "u": "g + 4", "q": "u + 12", "b": "q + 13", "n": "b + 5", "x": "n + 1", "o": "y + 19", "l": "o + 18", "i": "l + 18", "a": "i + 20", "r": "a + 9", "k": "r + 5", "y": 12}, "premises": {"y": 12}, "target": "x"}, "answer": {"steps": [["n", "b + 5", "b + 6"], ["b", "q + 13", "q + 19"], ["q", "u + 12", "u + 31"], ["u", "g + 4", "g + 35"], ["g", "y + 19", "y + 54"], ["y", 12, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"y": 12}, "is_reverse": true}} | 848 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 5; i = l + 18; g = y + 19; a = i + 20; l = o + 18; r = a + 9; b = q + 13; o = y + 19; u = g + 4; n = b + 5; q = u + 12; x = n + 1; y = 12. If y = 12, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 5 to x, which gives x = b + 6.\n2. Substitute b = q + 13 to x, which gives x = q + 19.\n3. Substitute q = u + 12 to x, which gives x = u + 31.\n4. Substitute u = g + 4 to x, which gives x = g + 35.\n5. Substitute g = y + 19 to x, which gives x = y + 54.\n6. Substitute y = 12 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 848,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 5; i = l + 18; g = y + 19; a = i + 20; l = o + 18; r = a + 9; b = q + 13; o = y + 19; u = g + 4; n = b + 5; q = u + 12; x = n + 1; y = 12. If y = 12, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 6", "t": "j + 16", "e": "t + 3", "y": "e + 17", "k": "y + 14", "q": "k + 7", "w": "v + 13", "l": "w + 3", "a": "l + 9", "h": "a + 9", "u": "h + 3", "n": "u + 1", "v": 4}, "premises": {"v": 4}, "target": "q"}, "answer": {"steps": [["j", "v + 6", 10], ["t", "j + 16", 26], ["e", "t + 3", 29], ["y", "e + 17", 46], ["k", "y + 14", 60], ["q", "k + 7", 67]], "target_var_name": "q", "target_value": 67, "value_dict": {"v": 4, "j": 10, "t": 26, "e": 29, "y": 46, "k": 60, "q": 67}, "is_reverse": false}} | 849 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 14; u = h + 3; v = 4; n = u + 1; a = l + 9; h = a + 9; w = v + 13; y = e + 17; t = j + 16; j = v + 6; l = w + 3; q = k + 7; e = t + 3. If v = 4, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = v + 6, which gives j = 10.\n2. Compute t using t = j + 16, which gives t = 26.\n3. Compute e using e = t + 3, which gives e = 29.\n4. Compute y using y = e + 17, which gives y = 46.\n5. Compute k using k = y + 14, which gives k = 60.\n6. Compute q using q = k + 7, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 849,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = y + 14; u = h + 3; v = 4; n = u + 1; a = l + 9; h = a + 9; w = v + 13; y = e + 17; t = j + 16; j = v + 6; l = w + 3; q = k + 7; e = t + 3. If v = 4, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 12", "d": "l + 5", "y": "d + 16", "o": "y + 6", "w": "o + 19", "g": "w + 1", "s": "b + 16", "n": "s + 4", "p": "n + 6", "r": "p + 9", "a": "r + 10", "f": "a + 2", "b": 19}, "premises": {"b": 19}, "target": "g"}, "answer": {"steps": [["w", "o + 19", "o + 20"], ["o", "y + 6", "y + 26"], ["y", "d + 16", "d + 42"], ["d", "l + 5", "l + 47"], ["l", "b + 12", "b + 59"], ["b", 19, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"b": 19}, "is_reverse": true}} | 850 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 6; o = y + 6; g = w + 1; f = a + 2; y = d + 16; d = l + 5; s = b + 16; b = 19; l = b + 12; r = p + 9; a = r + 10; w = o + 19; n = s + 4. If b = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 19 to g, which gives g = o + 20.\n2. Substitute o = y + 6 to g, which gives g = y + 26.\n3. Substitute y = d + 16 to g, which gives g = d + 42.\n4. Substitute d = l + 5 to g, which gives g = l + 47.\n5. Substitute l = b + 12 to g, which gives g = b + 59.\n6. Substitute b = 19 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 850,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 6; o = y + 6; g = w + 1; f = a + 2; y = d + 16; d = l + 5; s = b + 16; b = 19; l = b + 12; r = p + 9; a = r + 10; w = o + 19; n = s + 4. If b = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 10", "a": "h + 10", "b": "a + 4", "w": "b + 1", "p": "w + 6", "s": "p + 9", "n": "f + 2", "g": "n + 4", "c": "g + 4", "m": "c + 10", "e": "m + 14", "i": "e + 20", "f": 8}, "premises": {"f": 8}, "target": "s"}, "answer": {"steps": [["p", "w + 6", "w + 15"], ["w", "b + 1", "b + 16"], ["b", "a + 4", "a + 20"], ["a", "h + 10", "h + 30"], ["h", "f + 10", "f + 40"], ["f", 8, "48"]], "target_var_name": "s", "target_value": 48, "value_dict": {"f": 8}, "is_reverse": true}} | 851 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 10; b = a + 4; f = 8; i = e + 20; m = c + 10; e = m + 14; p = w + 6; w = b + 1; n = f + 2; c = g + 4; s = p + 9; a = h + 10; g = n + 4. If f = 8, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 6 to s, which gives s = w + 15.\n2. Substitute w = b + 1 to s, which gives s = b + 16.\n3. Substitute b = a + 4 to s, which gives s = a + 20.\n4. Substitute a = h + 10 to s, which gives s = h + 30.\n5. Substitute h = f + 10 to s, which gives s = f + 40.\n6. Substitute f = 8 to s, which gives s = 48.\n\nThus, the final answer is s = \\boxed{48}.",
"index": 851,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 10; b = a + 4; f = 8; i = e + 20; m = c + 10; e = m + 14; p = w + 6; w = b + 1; n = f + 2; c = g + 4; s = p + 9; a = h + 10; g = n + 4. If f = 8, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "o + 9", "v": "b + 6", "r": "v + 3", "u": "r + 5", "y": "u + 16", "c": "y + 5", "w": "o + 8", "l": "w + 9", "z": "l + 18", "h": "z + 19", "t": "h + 14", "p": "t + 8", "o": 14}, "premises": {"o": 14}, "target": "c"}, "answer": {"steps": [["y", "u + 16", "u + 21"], ["u", "r + 5", "r + 26"], ["r", "v + 3", "v + 29"], ["v", "b + 6", "b + 35"], ["b", "o + 9", "o + 44"], ["o", 14, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"o": 14}, "is_reverse": true}} | 852 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 18; p = t + 8; o = 14; h = z + 19; w = o + 8; t = h + 14; u = r + 5; r = v + 3; b = o + 9; v = b + 6; l = w + 9; y = u + 16; c = y + 5. Given that o = 14, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 16 to c, which gives c = u + 21.\n2. Substitute u = r + 5 to c, which gives c = r + 26.\n3. Substitute r = v + 3 to c, which gives c = v + 29.\n4. Substitute v = b + 6 to c, which gives c = b + 35.\n5. Substitute b = o + 9 to c, which gives c = o + 44.\n6. Substitute o = 14 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 852,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 18; p = t + 8; o = 14; h = z + 19; w = o + 8; t = h + 14; u = r + 5; r = v + 3; b = o + 9; v = b + 6; l = w + 9; y = u + 16; c = y + 5. Given that o = 14, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 4", "a": "d + 13", "r": "a + 1", "z": "r + 19", "k": "z + 12", "h": "k + 4", "y": "x + 8", "w": "y + 18", "l": "w + 18", "j": "l + 12", "g": "j + 2", "u": "g + 10", "x": 13}, "premises": {"x": 13}, "target": "h"}, "answer": {"steps": [["d", "x + 4", 17], ["a", "d + 13", 30], ["r", "a + 1", 31], ["z", "r + 19", 50], ["k", "z + 12", 62], ["h", "k + 4", 66]], "target_var_name": "h", "target_value": 66, "value_dict": {"x": 13, "d": 17, "a": 30, "r": 31, "z": 50, "k": 62, "h": 66}, "is_reverse": false}} | 853 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = d + 13; z = r + 19; j = l + 12; l = w + 18; r = a + 1; y = x + 8; k = z + 12; h = k + 4; d = x + 4; g = j + 2; w = y + 18; x = 13; u = g + 10. If x = 13, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = x + 4, which gives d = 17.\n2. Compute a using a = d + 13, which gives a = 30.\n3. Compute r using r = a + 1, which gives r = 31.\n4. Compute z using z = r + 19, which gives z = 50.\n5. Compute k using k = z + 12, which gives k = 62.\n6. Compute h using h = k + 4, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 853,
"question": "Consider a system of variables where each variable is defined as follows: a = d + 13; z = r + 19; j = l + 12; l = w + 18; r = a + 1; y = x + 8; k = z + 12; h = k + 4; d = x + 4; g = j + 2; w = y + 18; x = 13; u = g + 10. If x = 13, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 20", "d": "o + 1", "y": "d + 7", "q": "y + 5", "j": "q + 12", "t": "j + 2", "f": "w + 20", "l": "f + 14", "x": "l + 6", "v": "x + 4", "i": "v + 7", "k": "i + 19", "w": 3}, "premises": {"w": 3}, "target": "t"}, "answer": {"steps": [["j", "q + 12", "q + 14"], ["q", "y + 5", "y + 19"], ["y", "d + 7", "d + 26"], ["d", "o + 1", "o + 27"], ["o", "w + 20", "w + 47"], ["w", 3, "50"]], "target_var_name": "t", "target_value": 50, "value_dict": {"w": 3}, "is_reverse": true}} | 854 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 5; l = f + 14; w = 3; j = q + 12; k = i + 19; f = w + 20; o = w + 20; y = d + 7; d = o + 1; t = j + 2; i = v + 7; x = l + 6; v = x + 4. If w = 3, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 12 to t, which gives t = q + 14.\n2. Substitute q = y + 5 to t, which gives t = y + 19.\n3. Substitute y = d + 7 to t, which gives t = d + 26.\n4. Substitute d = o + 1 to t, which gives t = o + 27.\n5. Substitute o = w + 20 to t, which gives t = w + 47.\n6. Substitute w = 3 to t, which gives t = 50.\n\nThus, the final answer is t = \\boxed{50}.",
"index": 854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = y + 5; l = f + 14; w = 3; j = q + 12; k = i + 19; f = w + 20; o = w + 20; y = d + 7; d = o + 1; t = j + 2; i = v + 7; x = l + 6; v = x + 4. If w = 3, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 4", "m": "p + 9", "z": "m + 8", "q": "z + 11", "e": "q + 5", "n": "e + 18", "k": "r + 16", "f": "k + 1", "d": "f + 4", "j": "d + 6", "v": "j + 18", "b": "v + 1", "r": 18}, "premises": {"r": 18}, "target": "n"}, "answer": {"steps": [["p", "r + 4", 22], ["m", "p + 9", 31], ["z", "m + 8", 39], ["q", "z + 11", 50], ["e", "q + 5", 55], ["n", "e + 18", 73]], "target_var_name": "n", "target_value": 73, "value_dict": {"r": 18, "p": 22, "m": 31, "z": 39, "q": 50, "e": 55, "n": 73}, "is_reverse": false}} | 855 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 4; b = v + 1; n = e + 18; k = r + 16; r = 18; j = d + 6; f = k + 1; p = r + 4; m = p + 9; e = q + 5; q = z + 11; z = m + 8; v = j + 18. If r = 18, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 4, which gives p = 22.\n2. Compute m using m = p + 9, which gives m = 31.\n3. Compute z using z = m + 8, which gives z = 39.\n4. Compute q using q = z + 11, which gives q = 50.\n5. Compute e using e = q + 5, which gives e = 55.\n6. Compute n using n = e + 18, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 855,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 4; b = v + 1; n = e + 18; k = r + 16; r = 18; j = d + 6; f = k + 1; p = r + 4; m = p + 9; e = q + 5; q = z + 11; z = m + 8; v = j + 18. If r = 18, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 20", "z": "y + 7", "a": "z + 18", "c": "a + 4", "r": "c + 9", "w": "r + 3", "s": "v + 20", "g": "s + 18", "j": "g + 6", "t": "j + 5", "l": "t + 20", "b": "l + 15", "v": 6}, "premises": {"v": 6}, "target": "w"}, "answer": {"steps": [["y", "v + 20", 26], ["z", "y + 7", 33], ["a", "z + 18", 51], ["c", "a + 4", 55], ["r", "c + 9", 64], ["w", "r + 3", 67]], "target_var_name": "w", "target_value": 67, "value_dict": {"v": 6, "y": 26, "z": 33, "a": 51, "c": 55, "r": 64, "w": 67}, "is_reverse": false}} | 856 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 5; r = c + 9; v = 6; g = s + 18; b = l + 15; c = a + 4; z = y + 7; y = v + 20; w = r + 3; a = z + 18; l = t + 20; j = g + 6; s = v + 20. Given that v = 6, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = v + 20, which gives y = 26.\n2. Compute z using z = y + 7, which gives z = 33.\n3. Compute a using a = z + 18, which gives a = 51.\n4. Compute c using c = a + 4, which gives c = 55.\n5. Compute r using r = c + 9, which gives r = 64.\n6. Compute w using w = r + 3, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 856,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 5; r = c + 9; v = 6; g = s + 18; b = l + 15; c = a + 4; z = y + 7; y = v + 20; w = r + 3; a = z + 18; l = t + 20; j = g + 6; s = v + 20. Given that v = 6, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 8", "z": "q + 2", "k": "z + 18", "u": "k + 17", "h": "u + 12", "x": "h + 9", "y": "a + 20", "w": "y + 11", "i": "w + 3", "e": "i + 3", "b": "e + 7", "t": "b + 7", "a": 16}, "premises": {"a": 16}, "target": "x"}, "answer": {"steps": [["h", "u + 12", "u + 21"], ["u", "k + 17", "k + 38"], ["k", "z + 18", "z + 56"], ["z", "q + 2", "q + 58"], ["q", "a + 8", "a + 66"], ["a", 16, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"a": 16}, "is_reverse": true}} | 857 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 12; i = w + 3; z = q + 2; q = a + 8; b = e + 7; a = 16; e = i + 3; k = z + 18; t = b + 7; y = a + 20; w = y + 11; u = k + 17; x = h + 9. If a = 16, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 12 to x, which gives x = u + 21.\n2. Substitute u = k + 17 to x, which gives x = k + 38.\n3. Substitute k = z + 18 to x, which gives x = z + 56.\n4. Substitute z = q + 2 to x, which gives x = q + 58.\n5. Substitute q = a + 8 to x, which gives x = a + 66.\n6. Substitute a = 16 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 857,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 12; i = w + 3; z = q + 2; q = a + 8; b = e + 7; a = 16; e = i + 3; k = z + 18; t = b + 7; y = a + 20; w = y + 11; u = k + 17; x = h + 9. If a = 16, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 15", "i": "m + 15", "v": "i + 8", "f": "v + 12", "h": "f + 13", "c": "h + 17", "w": "t + 2", "j": "w + 19", "z": "j + 16", "a": "z + 1", "k": "a + 15", "e": "k + 3", "t": 6}, "premises": {"t": 6}, "target": "c"}, "answer": {"steps": [["h", "f + 13", "f + 30"], ["f", "v + 12", "v + 42"], ["v", "i + 8", "i + 50"], ["i", "m + 15", "m + 65"], ["m", "t + 15", "t + 80"], ["t", 6, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"t": 6}, "is_reverse": true}} | 858 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 19; m = t + 15; t = 6; v = i + 8; e = k + 3; z = j + 16; i = m + 15; k = a + 15; c = h + 17; f = v + 12; a = z + 1; h = f + 13; w = t + 2. If t = 6, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 13 to c, which gives c = f + 30.\n2. Substitute f = v + 12 to c, which gives c = v + 42.\n3. Substitute v = i + 8 to c, which gives c = i + 50.\n4. Substitute i = m + 15 to c, which gives c = m + 65.\n5. Substitute m = t + 15 to c, which gives c = t + 80.\n6. Substitute t = 6 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 858,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 19; m = t + 15; t = 6; v = i + 8; e = k + 3; z = j + 16; i = m + 15; k = a + 15; c = h + 17; f = v + 12; a = z + 1; h = f + 13; w = t + 2. If t = 6, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 14", "b": "c + 3", "x": "b + 17", "r": "x + 2", "p": "r + 20", "j": "p + 8", "u": "d + 9", "z": "u + 17", "m": "z + 17", "y": "m + 13", "g": "y + 17", "i": "g + 1", "d": 10}, "premises": {"d": 10}, "target": "j"}, "answer": {"steps": [["p", "r + 20", "r + 28"], ["r", "x + 2", "x + 30"], ["x", "b + 17", "b + 47"], ["b", "c + 3", "c + 50"], ["c", "d + 14", "d + 64"], ["d", 10, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"d": 10}, "is_reverse": true}} | 859 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 17; i = g + 1; u = d + 9; g = y + 17; b = c + 3; y = m + 13; j = p + 8; p = r + 20; d = 10; z = u + 17; r = x + 2; x = b + 17; c = d + 14. Given that d = 10, 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 p = r + 20 to j, which gives j = r + 28.\n2. Substitute r = x + 2 to j, which gives j = x + 30.\n3. Substitute x = b + 17 to j, which gives j = b + 47.\n4. Substitute b = c + 3 to j, which gives j = c + 50.\n5. Substitute c = d + 14 to j, which gives j = d + 64.\n6. Substitute d = 10 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 859,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 17; i = g + 1; u = d + 9; g = y + 17; b = c + 3; y = m + 13; j = p + 8; p = r + 20; d = 10; z = u + 17; r = x + 2; x = b + 17; c = d + 14. Given that d = 10, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 19", "u": "d + 20", "s": "u + 19", "q": "s + 10", "w": "q + 5", "x": "w + 12", "l": "v + 15", "o": "l + 1", "k": "o + 9", "e": "k + 12", "a": "e + 2", "i": "a + 8", "v": 10}, "premises": {"v": 10}, "target": "x"}, "answer": {"steps": [["w", "q + 5", "q + 17"], ["q", "s + 10", "s + 27"], ["s", "u + 19", "u + 46"], ["u", "d + 20", "d + 66"], ["d", "v + 19", "v + 85"], ["v", 10, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"v": 10}, "is_reverse": true}} | 860 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 1; x = w + 12; w = q + 5; q = s + 10; l = v + 15; k = o + 9; e = k + 12; v = 10; d = v + 19; s = u + 19; u = d + 20; a = e + 2; i = a + 8. Given that v = 10, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 5 to x, which gives x = q + 17.\n2. Substitute q = s + 10 to x, which gives x = s + 27.\n3. Substitute s = u + 19 to x, which gives x = u + 46.\n4. Substitute u = d + 20 to x, which gives x = d + 66.\n5. Substitute d = v + 19 to x, which gives x = v + 85.\n6. Substitute v = 10 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 860,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 1; x = w + 12; w = q + 5; q = s + 10; l = v + 15; k = o + 9; e = k + 12; v = 10; d = v + 19; s = u + 19; u = d + 20; a = e + 2; i = a + 8. Given that v = 10, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 13", "d": "p + 14", "k": "d + 14", "v": "k + 18", "z": "v + 15", "e": "z + 16", "j": "s + 2", "a": "j + 2", "t": "a + 20", "o": "t + 9", "i": "o + 4", "h": "i + 4", "s": 11}, "premises": {"s": 11}, "target": "e"}, "answer": {"steps": [["p", "s + 13", 24], ["d", "p + 14", 38], ["k", "d + 14", 52], ["v", "k + 18", 70], ["z", "v + 15", 85], ["e", "z + 16", 101]], "target_var_name": "e", "target_value": 101, "value_dict": {"s": 11, "p": 24, "d": 38, "k": 52, "v": 70, "z": 85, "e": 101}, "is_reverse": false}} | 861 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 11; a = j + 2; d = p + 14; k = d + 14; j = s + 2; e = z + 16; o = t + 9; v = k + 18; t = a + 20; h = i + 4; z = v + 15; p = s + 13; i = o + 4. Given that s = 11, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = s + 13, which gives p = 24.\n2. Compute d using d = p + 14, which gives d = 38.\n3. Compute k using k = d + 14, which gives k = 52.\n4. Compute v using v = k + 18, which gives v = 70.\n5. Compute z using z = v + 15, which gives z = 85.\n6. Compute e using e = z + 16, which gives e = 101.\n\nThus, the final answer is e = \\boxed{101}.",
"index": 861,
"question": "Suppose a collection of variables is related by the following definitions: s = 11; a = j + 2; d = p + 14; k = d + 14; j = s + 2; e = z + 16; o = t + 9; v = k + 18; t = a + 20; h = i + 4; z = v + 15; p = s + 13; i = o + 4. Given that s = 11, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 18", "i": "w + 20", "b": "i + 5", "r": "b + 20", "p": "r + 6", "j": "p + 10", "g": "k + 4", "d": "g + 3", "o": "d + 7", "y": "o + 1", "f": "y + 2", "z": "f + 2", "k": 5}, "premises": {"k": 5}, "target": "j"}, "answer": {"steps": [["p", "r + 6", "r + 16"], ["r", "b + 20", "b + 36"], ["b", "i + 5", "i + 41"], ["i", "w + 20", "w + 61"], ["w", "k + 18", "k + 79"], ["k", 5, "84"]], "target_var_name": "j", "target_value": 84, "value_dict": {"k": 5}, "is_reverse": true}} | 862 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 20; o = d + 7; w = k + 18; d = g + 3; r = b + 20; y = o + 1; j = p + 10; k = 5; g = k + 4; f = y + 2; p = r + 6; z = f + 2; b = i + 5. If k = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 6 to j, which gives j = r + 16.\n2. Substitute r = b + 20 to j, which gives j = b + 36.\n3. Substitute b = i + 5 to j, which gives j = i + 41.\n4. Substitute i = w + 20 to j, which gives j = w + 61.\n5. Substitute w = k + 18 to j, which gives j = k + 79.\n6. Substitute k = 5 to j, which gives j = 84.\n\nThus, the final answer is j = \\boxed{84}.",
"index": 862,
"question": "Consider a system of variables where each variable is defined as follows: i = w + 20; o = d + 7; w = k + 18; d = g + 3; r = b + 20; y = o + 1; j = p + 10; k = 5; g = k + 4; f = y + 2; p = r + 6; z = f + 2; b = i + 5. If k = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 19", "q": "r + 5", "u": "q + 12", "l": "u + 6", "h": "l + 2", "a": "h + 7", "k": "f + 11", "j": "k + 16", "t": "j + 10", "p": "t + 4", "i": "p + 14", "g": "i + 20", "f": 3}, "premises": {"f": 3}, "target": "a"}, "answer": {"steps": [["h", "l + 2", "l + 9"], ["l", "u + 6", "u + 15"], ["u", "q + 12", "q + 27"], ["q", "r + 5", "r + 32"], ["r", "f + 19", "f + 51"], ["f", 3, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"f": 3}, "is_reverse": true}} | 863 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 3; j = k + 16; g = i + 20; u = q + 12; p = t + 4; h = l + 2; a = h + 7; r = f + 19; i = p + 14; k = f + 11; t = j + 10; l = u + 6; q = r + 5. If f = 3, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 2 to a, which gives a = l + 9.\n2. Substitute l = u + 6 to a, which gives a = u + 15.\n3. Substitute u = q + 12 to a, which gives a = q + 27.\n4. Substitute q = r + 5 to a, which gives a = r + 32.\n5. Substitute r = f + 19 to a, which gives a = f + 51.\n6. Substitute f = 3 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 3; j = k + 16; g = i + 20; u = q + 12; p = t + 4; h = l + 2; a = h + 7; r = f + 19; i = p + 14; k = f + 11; t = j + 10; l = u + 6; q = r + 5. If f = 3, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 19", "i": "c + 3", "f": "i + 16", "w": "f + 4", "g": "w + 13", "k": "g + 7", "v": "l + 1", "x": "v + 4", "u": "x + 3", "n": "u + 1", "r": "n + 17", "t": "r + 16", "l": 1}, "premises": {"l": 1}, "target": "k"}, "answer": {"steps": [["g", "w + 13", "w + 20"], ["w", "f + 4", "f + 24"], ["f", "i + 16", "i + 40"], ["i", "c + 3", "c + 43"], ["c", "l + 19", "l + 62"], ["l", 1, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"l": 1}, "is_reverse": true}} | 864 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = f + 4; v = l + 1; n = u + 1; i = c + 3; l = 1; x = v + 4; t = r + 16; f = i + 16; u = x + 3; k = g + 7; r = n + 17; g = w + 13; c = l + 19. Given that l = 1, 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 g = w + 13 to k, which gives k = w + 20.\n2. Substitute w = f + 4 to k, which gives k = f + 24.\n3. Substitute f = i + 16 to k, which gives k = i + 40.\n4. Substitute i = c + 3 to k, which gives k = c + 43.\n5. Substitute c = l + 19 to k, which gives k = l + 62.\n6. Substitute l = 1 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 864,
"question": "Suppose a collection of variables is related by the following definitions: w = f + 4; v = l + 1; n = u + 1; i = c + 3; l = 1; x = v + 4; t = r + 16; f = i + 16; u = x + 3; k = g + 7; r = n + 17; g = w + 13; c = l + 19. Given that l = 1, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 13", "e": "b + 3", "q": "e + 7", "j": "q + 4", "i": "j + 8", "o": "i + 3", "p": "z + 3", "t": "p + 6", "v": "t + 15", "d": "v + 1", "n": "d + 13", "m": "n + 2", "z": 19}, "premises": {"z": 19}, "target": "o"}, "answer": {"steps": [["b", "z + 13", 32], ["e", "b + 3", 35], ["q", "e + 7", 42], ["j", "q + 4", 46], ["i", "j + 8", 54], ["o", "i + 3", 57]], "target_var_name": "o", "target_value": 57, "value_dict": {"z": 19, "b": 32, "e": 35, "q": 42, "j": 46, "i": 54, "o": 57}, "is_reverse": false}} | 865 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 13; i = j + 8; e = b + 3; m = n + 2; b = z + 13; p = z + 3; t = p + 6; q = e + 7; v = t + 15; o = i + 3; z = 19; j = q + 4; d = v + 1. Given that z = 19, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = z + 13, which gives b = 32.\n2. Compute e using e = b + 3, which gives e = 35.\n3. Compute q using q = e + 7, which gives q = 42.\n4. Compute j using j = q + 4, which gives j = 46.\n5. Compute i using i = j + 8, which gives i = 54.\n6. Compute o using o = i + 3, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 865,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 13; i = j + 8; e = b + 3; m = n + 2; b = z + 13; p = z + 3; t = p + 6; q = e + 7; v = t + 15; o = i + 3; z = 19; j = q + 4; d = v + 1. Given that z = 19, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "e + 16", "i": "t + 20", "v": "i + 8", "j": "v + 5", "w": "j + 16", "k": "w + 5", "a": "e + 7", "d": "a + 4", "s": "d + 14", "p": "s + 12", "h": "p + 11", "b": "h + 1", "e": 1}, "premises": {"e": 1}, "target": "k"}, "answer": {"steps": [["w", "j + 16", "j + 21"], ["j", "v + 5", "v + 26"], ["v", "i + 8", "i + 34"], ["i", "t + 20", "t + 54"], ["t", "e + 16", "e + 70"], ["e", 1, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"e": 1}, "is_reverse": true}} | 866 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 1; s = d + 14; b = h + 1; j = v + 5; a = e + 7; t = e + 16; k = w + 5; h = p + 11; w = j + 16; i = t + 20; v = i + 8; d = a + 4; p = s + 12. If e = 1, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 16 to k, which gives k = j + 21.\n2. Substitute j = v + 5 to k, which gives k = v + 26.\n3. Substitute v = i + 8 to k, which gives k = i + 34.\n4. Substitute i = t + 20 to k, which gives k = t + 54.\n5. Substitute t = e + 16 to k, which gives k = e + 70.\n6. Substitute e = 1 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 1; s = d + 14; b = h + 1; j = v + 5; a = e + 7; t = e + 16; k = w + 5; h = p + 11; w = j + 16; i = t + 20; v = i + 8; d = a + 4; p = s + 12. If e = 1, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 8", "n": "o + 14", "a": "n + 20", "g": "a + 5", "r": "g + 19", "m": "r + 6", "c": "w + 17", "t": "c + 16", "v": "t + 20", "z": "v + 6", "d": "z + 14", "u": "d + 10", "w": 19}, "premises": {"w": 19}, "target": "m"}, "answer": {"steps": [["o", "w + 8", 27], ["n", "o + 14", 41], ["a", "n + 20", 61], ["g", "a + 5", 66], ["r", "g + 19", 85], ["m", "r + 6", 91]], "target_var_name": "m", "target_value": 91, "value_dict": {"w": 19, "o": 27, "n": 41, "a": 61, "g": 66, "r": 85, "m": 91}, "is_reverse": false}} | 867 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 19; r = g + 19; m = r + 6; t = c + 16; u = d + 10; a = n + 20; z = v + 6; n = o + 14; d = z + 14; v = t + 20; o = w + 8; g = a + 5; c = w + 17. If w = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = w + 8, which gives o = 27.\n2. Compute n using n = o + 14, which gives n = 41.\n3. Compute a using a = n + 20, which gives a = 61.\n4. Compute g using g = a + 5, which gives g = 66.\n5. Compute r using r = g + 19, which gives r = 85.\n6. Compute m using m = r + 6, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 867,
"question": "Consider a system of variables where each variable is defined as follows: w = 19; r = g + 19; m = r + 6; t = c + 16; u = d + 10; a = n + 20; z = v + 6; n = o + 14; d = z + 14; v = t + 20; o = w + 8; g = a + 5; c = w + 17. If w = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 11", "a": "s + 15", "e": "a + 2", "f": "e + 19", "h": "f + 16", "y": "h + 5", "p": "d + 14", "r": "p + 5", "z": "r + 9", "g": "z + 7", "v": "g + 1", "t": "v + 11", "d": 16}, "premises": {"d": 16}, "target": "y"}, "answer": {"steps": [["h", "f + 16", "f + 21"], ["f", "e + 19", "e + 40"], ["e", "a + 2", "a + 42"], ["a", "s + 15", "s + 57"], ["s", "d + 11", "d + 68"], ["d", 16, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"d": 16}, "is_reverse": true}} | 868 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 5; a = s + 15; s = d + 11; f = e + 19; z = r + 9; v = g + 1; p = d + 14; h = f + 16; g = z + 7; r = p + 5; t = v + 11; d = 16; e = a + 2. If d = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 16 to y, which gives y = f + 21.\n2. Substitute f = e + 19 to y, which gives y = e + 40.\n3. Substitute e = a + 2 to y, which gives y = a + 42.\n4. Substitute a = s + 15 to y, which gives y = s + 57.\n5. Substitute s = d + 11 to y, which gives y = d + 68.\n6. Substitute d = 16 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 868,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 5; a = s + 15; s = d + 11; f = e + 19; z = r + 9; v = g + 1; p = d + 14; h = f + 16; g = z + 7; r = p + 5; t = v + 11; d = 16; e = a + 2. If d = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 6", "i": "h + 9", "w": "i + 6", "q": "w + 4", "c": "q + 12", "m": "c + 19", "n": "f + 13", "u": "n + 7", "j": "u + 12", "o": "j + 5", "k": "o + 20", "y": "k + 13", "f": 5}, "premises": {"f": 5}, "target": "m"}, "answer": {"steps": [["h", "f + 6", 11], ["i", "h + 9", 20], ["w", "i + 6", 26], ["q", "w + 4", 30], ["c", "q + 12", 42], ["m", "c + 19", 61]], "target_var_name": "m", "target_value": 61, "value_dict": {"f": 5, "h": 11, "i": 20, "w": 26, "q": 30, "c": 42, "m": 61}, "is_reverse": false}} | 869 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = u + 12; f = 5; m = c + 19; h = f + 6; u = n + 7; i = h + 9; k = o + 20; w = i + 6; c = q + 12; o = j + 5; n = f + 13; q = w + 4; y = k + 13. Given that f = 5, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = f + 6, which gives h = 11.\n2. Compute i using i = h + 9, which gives i = 20.\n3. Compute w using w = i + 6, which gives w = 26.\n4. Compute q using q = w + 4, which gives q = 30.\n5. Compute c using c = q + 12, which gives c = 42.\n6. Compute m using m = c + 19, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 869,
"question": "Suppose a collection of variables is related by the following definitions: j = u + 12; f = 5; m = c + 19; h = f + 6; u = n + 7; i = h + 9; k = o + 20; w = i + 6; c = q + 12; o = j + 5; n = f + 13; q = w + 4; y = k + 13. Given that f = 5, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 11", "r": "q + 11", "e": "r + 14", "p": "e + 4", "c": "p + 9", "y": "c + 19", "j": "b + 9", "d": "j + 7", "k": "d + 8", "u": "k + 3", "l": "u + 3", "f": "l + 13", "b": 20}, "premises": {"b": 20}, "target": "y"}, "answer": {"steps": [["q", "b + 11", 31], ["r", "q + 11", 42], ["e", "r + 14", 56], ["p", "e + 4", 60], ["c", "p + 9", 69], ["y", "c + 19", 88]], "target_var_name": "y", "target_value": 88, "value_dict": {"b": 20, "q": 31, "r": 42, "e": 56, "p": 60, "c": 69, "y": 88}, "is_reverse": false}} | 870 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 11; k = d + 8; u = k + 3; e = r + 14; l = u + 3; d = j + 7; f = l + 13; b = 20; p = e + 4; c = p + 9; j = b + 9; r = q + 11; y = c + 19. If b = 20, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = b + 11, which gives q = 31.\n2. Compute r using r = q + 11, which gives r = 42.\n3. Compute e using e = r + 14, which gives e = 56.\n4. Compute p using p = e + 4, which gives p = 60.\n5. Compute c using c = p + 9, which gives c = 69.\n6. Compute y using y = c + 19, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = b + 11; k = d + 8; u = k + 3; e = r + 14; l = u + 3; d = j + 7; f = l + 13; b = 20; p = e + 4; c = p + 9; j = b + 9; r = q + 11; y = c + 19. If b = 20, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 5", "r": "l + 6", "p": "r + 19", "y": "p + 13", "i": "y + 20", "a": "i + 1", "f": "w + 7", "b": "f + 7", "q": "b + 9", "x": "q + 5", "d": "x + 6", "e": "d + 11", "w": 20}, "premises": {"w": 20}, "target": "a"}, "answer": {"steps": [["l", "w + 5", 25], ["r", "l + 6", 31], ["p", "r + 19", 50], ["y", "p + 13", 63], ["i", "y + 20", 83], ["a", "i + 1", 84]], "target_var_name": "a", "target_value": 84, "value_dict": {"w": 20, "l": 25, "r": 31, "p": 50, "y": 63, "i": 83, "a": 84}, "is_reverse": false}} | 871 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 7; p = r + 19; i = y + 20; x = q + 5; d = x + 6; q = b + 9; b = f + 7; w = 20; l = w + 5; y = p + 13; r = l + 6; e = d + 11; a = i + 1. If w = 20, determine the 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. Compute l using l = w + 5, which gives l = 25.\n2. Compute r using r = l + 6, which gives r = 31.\n3. Compute p using p = r + 19, which gives p = 50.\n4. Compute y using y = p + 13, which gives y = 63.\n5. Compute i using i = y + 20, which gives i = 83.\n6. Compute a using a = i + 1, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 871,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 7; p = r + 19; i = y + 20; x = q + 5; d = x + 6; q = b + 9; b = f + 7; w = 20; l = w + 5; y = p + 13; r = l + 6; e = d + 11; a = i + 1. If w = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 17", "f": "m + 17", "b": "f + 5", "w": "b + 13", "d": "w + 14", "o": "d + 15", "a": "k + 3", "l": "a + 12", "c": "l + 11", "x": "c + 2", "j": "x + 14", "n": "j + 9", "k": 6}, "premises": {"k": 6}, "target": "o"}, "answer": {"steps": [["d", "w + 14", "w + 29"], ["w", "b + 13", "b + 42"], ["b", "f + 5", "f + 47"], ["f", "m + 17", "m + 64"], ["m", "k + 17", "k + 81"], ["k", 6, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"k": 6}, "is_reverse": true}} | 872 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = f + 5; o = d + 15; a = k + 3; n = j + 9; f = m + 17; x = c + 2; k = 6; l = a + 12; d = w + 14; w = b + 13; c = l + 11; j = x + 14; m = k + 17. If k = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 14 to o, which gives o = w + 29.\n2. Substitute w = b + 13 to o, which gives o = b + 42.\n3. Substitute b = f + 5 to o, which gives o = f + 47.\n4. Substitute f = m + 17 to o, which gives o = m + 64.\n5. Substitute m = k + 17 to o, which gives o = k + 81.\n6. Substitute k = 6 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 872,
"question": "Consider a system of variables where each variable is defined as follows: b = f + 5; o = d + 15; a = k + 3; n = j + 9; f = m + 17; x = c + 2; k = 6; l = a + 12; d = w + 14; w = b + 13; c = l + 11; j = x + 14; m = k + 17. If k = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 11", "o": "z + 13", "g": "o + 16", "u": "g + 17", "n": "u + 10", "k": "n + 13", "p": "l + 15", "f": "p + 17", "w": "f + 17", "s": "w + 11", "d": "s + 11", "c": "d + 4", "l": 13}, "premises": {"l": 13}, "target": "k"}, "answer": {"steps": [["z", "l + 11", 24], ["o", "z + 13", 37], ["g", "o + 16", 53], ["u", "g + 17", 70], ["n", "u + 10", 80], ["k", "n + 13", 93]], "target_var_name": "k", "target_value": 93, "value_dict": {"l": 13, "z": 24, "o": 37, "g": 53, "u": 70, "n": 80, "k": 93}, "is_reverse": false}} | 873 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = n + 13; l = 13; u = g + 17; c = d + 4; w = f + 17; n = u + 10; s = w + 11; o = z + 13; p = l + 15; f = p + 17; d = s + 11; g = o + 16; z = l + 11. Given that l = 13, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = l + 11, which gives z = 24.\n2. Compute o using o = z + 13, which gives o = 37.\n3. Compute g using g = o + 16, which gives g = 53.\n4. Compute u using u = g + 17, which gives u = 70.\n5. Compute n using n = u + 10, which gives n = 80.\n6. Compute k using k = n + 13, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 873,
"question": "Suppose a collection of variables is related by the following definitions: k = n + 13; l = 13; u = g + 17; c = d + 4; w = f + 17; n = u + 10; s = w + 11; o = z + 13; p = l + 15; f = p + 17; d = s + 11; g = o + 16; z = l + 11. Given that l = 13, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 11", "g": "k + 6", "a": "g + 20", "y": "a + 17", "l": "y + 19", "i": "l + 7", "q": "t + 8", "p": "q + 1", "e": "p + 6", "j": "e + 9", "m": "j + 10", "f": "m + 11", "t": 14}, "premises": {"t": 14}, "target": "i"}, "answer": {"steps": [["k", "t + 11", 25], ["g", "k + 6", 31], ["a", "g + 20", 51], ["y", "a + 17", 68], ["l", "y + 19", 87], ["i", "l + 7", 94]], "target_var_name": "i", "target_value": 94, "value_dict": {"t": 14, "k": 25, "g": 31, "a": 51, "y": 68, "l": 87, "i": 94}, "is_reverse": false}} | 874 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 19; f = m + 11; a = g + 20; j = e + 9; q = t + 8; t = 14; g = k + 6; p = q + 1; i = l + 7; y = a + 17; m = j + 10; k = t + 11; e = p + 6. If t = 14, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = t + 11, which gives k = 25.\n2. Compute g using g = k + 6, which gives g = 31.\n3. Compute a using a = g + 20, which gives a = 51.\n4. Compute y using y = a + 17, which gives y = 68.\n5. Compute l using l = y + 19, which gives l = 87.\n6. Compute i using i = l + 7, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 874,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 19; f = m + 11; a = g + 20; j = e + 9; q = t + 8; t = 14; g = k + 6; p = q + 1; i = l + 7; y = a + 17; m = j + 10; k = t + 11; e = p + 6. If t = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "m + 13", "n": "d + 11", "l": "n + 12", "v": "l + 16", "c": "v + 7", "o": "c + 1", "p": "m + 2", "f": "p + 8", "r": "f + 13", "j": "r + 15", "q": "j + 18", "h": "q + 2", "m": 13}, "premises": {"m": 13}, "target": "o"}, "answer": {"steps": [["c", "v + 7", "v + 8"], ["v", "l + 16", "l + 24"], ["l", "n + 12", "n + 36"], ["n", "d + 11", "d + 47"], ["d", "m + 13", "m + 60"], ["m", 13, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"m": 13}, "is_reverse": true}} | 875 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 18; f = p + 8; d = m + 13; r = f + 13; h = q + 2; n = d + 11; l = n + 12; o = c + 1; m = 13; p = m + 2; j = r + 15; c = v + 7; v = l + 16. Given that m = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 7 to o, which gives o = v + 8.\n2. Substitute v = l + 16 to o, which gives o = l + 24.\n3. Substitute l = n + 12 to o, which gives o = n + 36.\n4. Substitute n = d + 11 to o, which gives o = d + 47.\n5. Substitute d = m + 13 to o, which gives o = m + 60.\n6. Substitute m = 13 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 875,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 18; f = p + 8; d = m + 13; r = f + 13; h = q + 2; n = d + 11; l = n + 12; o = c + 1; m = 13; p = m + 2; j = r + 15; c = v + 7; v = l + 16. Given that m = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 20", "y": "u + 7", "t": "y + 11", "b": "t + 15", "e": "b + 20", "p": "e + 17", "k": "w + 3", "h": "k + 7", "z": "h + 11", "m": "z + 2", "n": "m + 16", "q": "n + 4", "w": 16}, "premises": {"w": 16}, "target": "p"}, "answer": {"steps": [["u", "w + 20", 36], ["y", "u + 7", 43], ["t", "y + 11", 54], ["b", "t + 15", 69], ["e", "b + 20", 89], ["p", "e + 17", 106]], "target_var_name": "p", "target_value": 106, "value_dict": {"w": 16, "u": 36, "y": 43, "t": 54, "b": 69, "e": 89, "p": 106}, "is_reverse": false}} | 876 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 20; k = w + 3; n = m + 16; y = u + 7; h = k + 7; z = h + 11; t = y + 11; q = n + 4; p = e + 17; b = t + 15; m = z + 2; u = w + 20; w = 16. If w = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = w + 20, which gives u = 36.\n2. Compute y using y = u + 7, which gives y = 43.\n3. Compute t using t = y + 11, which gives t = 54.\n4. Compute b using b = t + 15, which gives b = 69.\n5. Compute e using e = b + 20, which gives e = 89.\n6. Compute p using p = e + 17, which gives p = 106.\n\nThus, the final answer is p = \\boxed{106}.",
"index": 876,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 20; k = w + 3; n = m + 16; y = u + 7; h = k + 7; z = h + 11; t = y + 11; q = n + 4; p = e + 17; b = t + 15; m = z + 2; u = w + 20; w = 16. If w = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 14", "c": "i + 16", "y": "c + 18", "r": "y + 11", "z": "r + 3", "a": "z + 9", "q": "x + 2", "f": "q + 14", "l": "f + 16", "t": "l + 6", "o": "t + 5", "m": "o + 15", "x": 13}, "premises": {"x": 13}, "target": "a"}, "answer": {"steps": [["i", "x + 14", 27], ["c", "i + 16", 43], ["y", "c + 18", 61], ["r", "y + 11", 72], ["z", "r + 3", 75], ["a", "z + 9", 84]], "target_var_name": "a", "target_value": 84, "value_dict": {"x": 13, "i": 27, "c": 43, "y": 61, "r": 72, "z": 75, "a": 84}, "is_reverse": false}} | 877 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 14; l = f + 16; t = l + 6; o = t + 5; q = x + 2; r = y + 11; i = x + 14; z = r + 3; x = 13; c = i + 16; y = c + 18; a = z + 9; m = o + 15. Given that x = 13, find the 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. Compute i using i = x + 14, which gives i = 27.\n2. Compute c using c = i + 16, which gives c = 43.\n3. Compute y using y = c + 18, which gives y = 61.\n4. Compute r using r = y + 11, which gives r = 72.\n5. Compute z using z = r + 3, which gives z = 75.\n6. Compute a using a = z + 9, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 877,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 14; l = f + 16; t = l + 6; o = t + 5; q = x + 2; r = y + 11; i = x + 14; z = r + 3; x = 13; c = i + 16; y = c + 18; a = z + 9; m = o + 15. Given that x = 13, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 15", "t": "f + 8", "c": "t + 15", "l": "c + 17", "x": "l + 1", "h": "x + 20", "i": "d + 5", "m": "i + 6", "s": "m + 3", "w": "s + 15", "e": "w + 4", "y": "e + 6", "d": 10}, "premises": {"d": 10}, "target": "h"}, "answer": {"steps": [["x", "l + 1", "l + 21"], ["l", "c + 17", "c + 38"], ["c", "t + 15", "t + 53"], ["t", "f + 8", "f + 61"], ["f", "d + 15", "d + 76"], ["d", 10, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"d": 10}, "is_reverse": true}} | 878 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 5; s = m + 3; f = d + 15; h = x + 20; t = f + 8; d = 10; c = t + 15; y = e + 6; m = i + 6; x = l + 1; e = w + 4; l = c + 17; w = s + 15. If d = 10, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 1 to h, which gives h = l + 21.\n2. Substitute l = c + 17 to h, which gives h = c + 38.\n3. Substitute c = t + 15 to h, which gives h = t + 53.\n4. Substitute t = f + 8 to h, which gives h = f + 61.\n5. Substitute f = d + 15 to h, which gives h = d + 76.\n6. Substitute d = 10 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 878,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 5; s = m + 3; f = d + 15; h = x + 20; t = f + 8; d = 10; c = t + 15; y = e + 6; m = i + 6; x = l + 1; e = w + 4; l = c + 17; w = s + 15. If d = 10, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 16", "g": "x + 5", "i": "g + 9", "t": "i + 17", "d": "t + 16", "c": "d + 19", "u": "j + 10", "o": "u + 5", "f": "o + 5", "w": "f + 10", "p": "w + 13", "k": "p + 6", "j": 1}, "premises": {"j": 1}, "target": "c"}, "answer": {"steps": [["x", "j + 16", 17], ["g", "x + 5", 22], ["i", "g + 9", 31], ["t", "i + 17", 48], ["d", "t + 16", 64], ["c", "d + 19", 83]], "target_var_name": "c", "target_value": 83, "value_dict": {"j": 1, "x": 17, "g": 22, "i": 31, "t": 48, "d": 64, "c": 83}, "is_reverse": false}} | 879 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 10; f = o + 5; w = f + 10; g = x + 5; o = u + 5; i = g + 9; x = j + 16; k = p + 6; j = 1; t = i + 17; p = w + 13; c = d + 19; d = t + 16. If j = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = j + 16, which gives x = 17.\n2. Compute g using g = x + 5, which gives g = 22.\n3. Compute i using i = g + 9, which gives i = 31.\n4. Compute t using t = i + 17, which gives t = 48.\n5. Compute d using d = t + 16, which gives d = 64.\n6. Compute c using c = d + 19, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 879,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 10; f = o + 5; w = f + 10; g = x + 5; o = u + 5; i = g + 9; x = j + 16; k = p + 6; j = 1; t = i + 17; p = w + 13; c = d + 19; d = t + 16. If j = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 7", "q": "i + 13", "n": "q + 7", "f": "n + 13", "r": "f + 14", "k": "r + 12", "e": "z + 10", "a": "e + 10", "u": "a + 7", "j": "u + 12", "v": "j + 4", "o": "v + 1", "z": 15}, "premises": {"z": 15}, "target": "k"}, "answer": {"steps": [["i", "z + 7", 22], ["q", "i + 13", 35], ["n", "q + 7", 42], ["f", "n + 13", 55], ["r", "f + 14", 69], ["k", "r + 12", 81]], "target_var_name": "k", "target_value": 81, "value_dict": {"z": 15, "i": 22, "q": 35, "n": 42, "f": 55, "r": 69, "k": 81}, "is_reverse": false}} | 880 | 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 + 13; n = q + 7; v = j + 4; i = z + 7; a = e + 10; e = z + 10; u = a + 7; o = v + 1; j = u + 12; z = 15; k = r + 12; f = n + 13; r = f + 14. If z = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = z + 7, which gives i = 22.\n2. Compute q using q = i + 13, which gives q = 35.\n3. Compute n using n = q + 7, which gives n = 42.\n4. Compute f using f = n + 13, which gives f = 55.\n5. Compute r using r = f + 14, which gives r = 69.\n6. Compute k using k = r + 12, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 880,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 13; n = q + 7; v = j + 4; i = z + 7; a = e + 10; e = z + 10; u = a + 7; o = v + 1; j = u + 12; z = 15; k = r + 12; f = n + 13; r = f + 14. If z = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 12", "x": "f + 19", "j": "x + 3", "d": "j + 11", "v": "d + 2", "n": "v + 20", "k": "t + 10", "g": "k + 18", "b": "g + 15", "a": "b + 5", "l": "a + 8", "o": "l + 5", "t": 2}, "premises": {"t": 2}, "target": "n"}, "answer": {"steps": [["f", "t + 12", 14], ["x", "f + 19", 33], ["j", "x + 3", 36], ["d", "j + 11", 47], ["v", "d + 2", 49], ["n", "v + 20", 69]], "target_var_name": "n", "target_value": 69, "value_dict": {"t": 2, "f": 14, "x": 33, "j": 36, "d": 47, "v": 49, "n": 69}, "is_reverse": false}} | 881 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 8; k = t + 10; f = t + 12; v = d + 2; a = b + 5; d = j + 11; o = l + 5; x = f + 19; n = v + 20; g = k + 18; t = 2; b = g + 15; j = x + 3. If t = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = t + 12, which gives f = 14.\n2. Compute x using x = f + 19, which gives x = 33.\n3. Compute j using j = x + 3, which gives j = 36.\n4. Compute d using d = j + 11, which gives d = 47.\n5. Compute v using v = d + 2, which gives v = 49.\n6. Compute n using n = v + 20, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = a + 8; k = t + 10; f = t + 12; v = d + 2; a = b + 5; d = j + 11; o = l + 5; x = f + 19; n = v + 20; g = k + 18; t = 2; b = g + 15; j = x + 3. If t = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 8", "l": "k + 19", "z": "l + 14", "b": "z + 17", "y": "b + 12", "w": "y + 17", "f": "e + 14", "v": "f + 15", "g": "v + 3", "o": "g + 6", "c": "o + 10", "h": "c + 13", "e": 11}, "premises": {"e": 11}, "target": "w"}, "answer": {"steps": [["k", "e + 8", 19], ["l", "k + 19", 38], ["z", "l + 14", 52], ["b", "z + 17", 69], ["y", "b + 12", 81], ["w", "y + 17", 98]], "target_var_name": "w", "target_value": 98, "value_dict": {"e": 11, "k": 19, "l": 38, "z": 52, "b": 69, "y": 81, "w": 98}, "is_reverse": false}} | 882 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 17; y = b + 12; g = v + 3; z = l + 14; o = g + 6; l = k + 19; k = e + 8; e = 11; v = f + 15; c = o + 10; b = z + 17; f = e + 14; h = c + 13. Given that e = 11, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = e + 8, which gives k = 19.\n2. Compute l using l = k + 19, which gives l = 38.\n3. Compute z using z = l + 14, which gives z = 52.\n4. Compute b using b = z + 17, which gives b = 69.\n5. Compute y using y = b + 12, which gives y = 81.\n6. Compute w using w = y + 17, which gives w = 98.\n\nThus, the final answer is w = \\boxed{98}.",
"index": 882,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 17; y = b + 12; g = v + 3; z = l + 14; o = g + 6; l = k + 19; k = e + 8; e = 11; v = f + 15; c = o + 10; b = z + 17; f = e + 14; h = c + 13. Given that e = 11, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 5", "o": "g + 5", "x": "o + 10", "j": "x + 20", "y": "j + 17", "i": "y + 18", "b": "l + 7", "h": "b + 19", "m": "h + 15", "k": "m + 13", "a": "k + 2", "t": "a + 4", "l": 2}, "premises": {"l": 2}, "target": "i"}, "answer": {"steps": [["g", "l + 5", 7], ["o", "g + 5", 12], ["x", "o + 10", 22], ["j", "x + 20", 42], ["y", "j + 17", 59], ["i", "y + 18", 77]], "target_var_name": "i", "target_value": 77, "value_dict": {"l": 2, "g": 7, "o": 12, "x": 22, "j": 42, "y": 59, "i": 77}, "is_reverse": false}} | 883 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 2; m = h + 15; g = l + 5; k = m + 13; y = j + 17; h = b + 19; o = g + 5; b = l + 7; t = a + 4; a = k + 2; j = x + 20; i = y + 18; x = o + 10. If l = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = l + 5, which gives g = 7.\n2. Compute o using o = g + 5, which gives o = 12.\n3. Compute x using x = o + 10, which gives x = 22.\n4. Compute j using j = x + 20, which gives j = 42.\n5. Compute y using y = j + 17, which gives y = 59.\n6. Compute i using i = y + 18, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 883,
"question": "Consider a system of variables where each variable is defined as follows: l = 2; m = h + 15; g = l + 5; k = m + 13; y = j + 17; h = b + 19; o = g + 5; b = l + 7; t = a + 4; a = k + 2; j = x + 20; i = y + 18; x = o + 10. If l = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 3", "i": "q + 13", "b": "i + 7", "p": "b + 6", "v": "p + 12", "o": "v + 13", "m": "s + 7", "a": "m + 8", "e": "a + 20", "l": "e + 19", "t": "l + 6", "x": "t + 3", "s": 14}, "premises": {"s": 14}, "target": "o"}, "answer": {"steps": [["v", "p + 12", "p + 25"], ["p", "b + 6", "b + 31"], ["b", "i + 7", "i + 38"], ["i", "q + 13", "q + 51"], ["q", "s + 3", "s + 54"], ["s", 14, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"s": 14}, "is_reverse": true}} | 884 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 6; q = s + 3; i = q + 13; p = b + 6; o = v + 13; v = p + 12; e = a + 20; l = e + 19; s = 14; m = s + 7; b = i + 7; x = t + 3; a = m + 8. If s = 14, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 12 to o, which gives o = p + 25.\n2. Substitute p = b + 6 to o, which gives o = b + 31.\n3. Substitute b = i + 7 to o, which gives o = i + 38.\n4. Substitute i = q + 13 to o, which gives o = q + 51.\n5. Substitute q = s + 3 to o, which gives o = s + 54.\n6. Substitute s = 14 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 6; q = s + 3; i = q + 13; p = b + 6; o = v + 13; v = p + 12; e = a + 20; l = e + 19; s = 14; m = s + 7; b = i + 7; x = t + 3; a = m + 8. If s = 14, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 2", "u": "d + 19", "n": "u + 5", "w": "n + 2", "z": "w + 1", "c": "z + 8", "t": "a + 7", "l": "t + 13", "k": "l + 8", "i": "k + 9", "m": "i + 2", "s": "m + 18", "a": 10}, "premises": {"a": 10}, "target": "c"}, "answer": {"steps": [["z", "w + 1", "w + 9"], ["w", "n + 2", "n + 11"], ["n", "u + 5", "u + 16"], ["u", "d + 19", "d + 35"], ["d", "a + 2", "a + 37"], ["a", 10, "47"]], "target_var_name": "c", "target_value": 47, "value_dict": {"a": 10}, "is_reverse": true}} | 885 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 8; m = i + 2; z = w + 1; t = a + 7; u = d + 19; i = k + 9; s = m + 18; n = u + 5; d = a + 2; a = 10; l = t + 13; w = n + 2; c = z + 8. If a = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 1 to c, which gives c = w + 9.\n2. Substitute w = n + 2 to c, which gives c = n + 11.\n3. Substitute n = u + 5 to c, which gives c = u + 16.\n4. Substitute u = d + 19 to c, which gives c = d + 35.\n5. Substitute d = a + 2 to c, which gives c = a + 37.\n6. Substitute a = 10 to c, which gives c = 47.\n\nThus, the final answer is c = \\boxed{47}.",
"index": 885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 8; m = i + 2; z = w + 1; t = a + 7; u = d + 19; i = k + 9; s = m + 18; n = u + 5; d = a + 2; a = 10; l = t + 13; w = n + 2; c = z + 8. If a = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 4", "q": "v + 16", "c": "q + 13", "s": "c + 19", "l": "s + 13", "f": "l + 3", "h": "g + 11", "i": "h + 5", "x": "i + 12", "w": "x + 18", "p": "w + 7", "n": "p + 6", "g": 1}, "premises": {"g": 1}, "target": "f"}, "answer": {"steps": [["v", "g + 4", 5], ["q", "v + 16", 21], ["c", "q + 13", 34], ["s", "c + 19", 53], ["l", "s + 13", 66], ["f", "l + 3", 69]], "target_var_name": "f", "target_value": 69, "value_dict": {"g": 1, "v": 5, "q": 21, "c": 34, "s": 53, "l": 66, "f": 69}, "is_reverse": false}} | 886 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; p = w + 7; h = g + 11; c = q + 13; l = s + 13; w = x + 18; i = h + 5; n = p + 6; v = g + 4; f = l + 3; s = c + 19; q = v + 16; x = i + 12. If g = 1, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = g + 4, which gives v = 5.\n2. Compute q using q = v + 16, which gives q = 21.\n3. Compute c using c = q + 13, which gives c = 34.\n4. Compute s using s = c + 19, which gives s = 53.\n5. Compute l using l = s + 13, which gives l = 66.\n6. Compute f using f = l + 3, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; p = w + 7; h = g + 11; c = q + 13; l = s + 13; w = x + 18; i = h + 5; n = p + 6; v = g + 4; f = l + 3; s = c + 19; q = v + 16; x = i + 12. If g = 1, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 9", "b": "c + 15", "q": "b + 1", "o": "q + 10", "g": "o + 19", "p": "g + 5", "k": "d + 5", "v": "k + 9", "i": "v + 16", "z": "i + 15", "r": "z + 13", "m": "r + 11", "d": 6}, "premises": {"d": 6}, "target": "p"}, "answer": {"steps": [["g", "o + 19", "o + 24"], ["o", "q + 10", "q + 34"], ["q", "b + 1", "b + 35"], ["b", "c + 15", "c + 50"], ["c", "d + 9", "d + 59"], ["d", 6, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"d": 6}, "is_reverse": true}} | 887 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = d + 9; q = b + 1; z = i + 15; r = z + 13; k = d + 5; b = c + 15; i = v + 16; m = r + 11; o = q + 10; v = k + 9; p = g + 5; g = o + 19; d = 6. Given that d = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 19 to p, which gives p = o + 24.\n2. Substitute o = q + 10 to p, which gives p = q + 34.\n3. Substitute q = b + 1 to p, which gives p = b + 35.\n4. Substitute b = c + 15 to p, which gives p = c + 50.\n5. Substitute c = d + 9 to p, which gives p = d + 59.\n6. Substitute d = 6 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 887,
"question": "Suppose a collection of variables is related by the following definitions: c = d + 9; q = b + 1; z = i + 15; r = z + 13; k = d + 5; b = c + 15; i = v + 16; m = r + 11; o = q + 10; v = k + 9; p = g + 5; g = o + 19; d = 6. Given that d = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 6", "c": "p + 20", "t": "c + 17", "z": "t + 17", "d": "z + 17", "q": "d + 7", "k": "r + 16", "f": "k + 19", "j": "f + 16", "v": "j + 10", "x": "v + 11", "u": "x + 11", "r": 4}, "premises": {"r": 4}, "target": "q"}, "answer": {"steps": [["p", "r + 6", 10], ["c", "p + 20", 30], ["t", "c + 17", 47], ["z", "t + 17", 64], ["d", "z + 17", 81], ["q", "d + 7", 88]], "target_var_name": "q", "target_value": 88, "value_dict": {"r": 4, "p": 10, "c": 30, "t": 47, "z": 64, "d": 81, "q": 88}, "is_reverse": false}} | 888 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 7; u = x + 11; c = p + 20; v = j + 10; t = c + 17; r = 4; x = v + 11; j = f + 16; z = t + 17; k = r + 16; f = k + 19; p = r + 6; d = z + 17. Given that r = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 6, which gives p = 10.\n2. Compute c using c = p + 20, which gives c = 30.\n3. Compute t using t = c + 17, which gives t = 47.\n4. Compute z using z = t + 17, which gives z = 64.\n5. Compute d using d = z + 17, which gives d = 81.\n6. Compute q using q = d + 7, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 888,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 7; u = x + 11; c = p + 20; v = j + 10; t = c + 17; r = 4; x = v + 11; j = f + 16; z = t + 17; k = r + 16; f = k + 19; p = r + 6; d = z + 17. Given that r = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 17", "w": "o + 5", "n": "w + 9", "p": "n + 3", "q": "p + 4", "l": "q + 13", "t": "d + 8", "z": "t + 9", "r": "z + 1", "h": "r + 7", "f": "h + 18", "k": "f + 4", "d": 11}, "premises": {"d": 11}, "target": "l"}, "answer": {"steps": [["q", "p + 4", "p + 17"], ["p", "n + 3", "n + 20"], ["n", "w + 9", "w + 29"], ["w", "o + 5", "o + 34"], ["o", "d + 17", "d + 51"], ["d", 11, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"d": 11}, "is_reverse": true}} | 889 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 9; f = h + 18; r = z + 1; n = w + 9; d = 11; h = r + 7; k = f + 4; t = d + 8; w = o + 5; l = q + 13; p = n + 3; o = d + 17; q = p + 4. If d = 11, 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. Substitute q = p + 4 to l, which gives l = p + 17.\n2. Substitute p = n + 3 to l, which gives l = n + 20.\n3. Substitute n = w + 9 to l, which gives l = w + 29.\n4. Substitute w = o + 5 to l, which gives l = o + 34.\n5. Substitute o = d + 17 to l, which gives l = d + 51.\n6. Substitute d = 11 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 889,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 9; f = h + 18; r = z + 1; n = w + 9; d = 11; h = r + 7; k = f + 4; t = d + 8; w = o + 5; l = q + 13; p = n + 3; o = d + 17; q = p + 4. If d = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 17", "k": "i + 4", "a": "k + 10", "u": "a + 17", "x": "u + 15", "j": "x + 11", "z": "h + 12", "r": "z + 12", "p": "r + 15", "m": "p + 16", "b": "m + 17", "e": "b + 5", "h": 14}, "premises": {"h": 14}, "target": "j"}, "answer": {"steps": [["x", "u + 15", "u + 26"], ["u", "a + 17", "a + 43"], ["a", "k + 10", "k + 53"], ["k", "i + 4", "i + 57"], ["i", "h + 17", "h + 74"], ["h", 14, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"h": 14}, "is_reverse": true}} | 890 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = u + 15; r = z + 12; j = x + 11; u = a + 17; b = m + 17; p = r + 15; k = i + 4; a = k + 10; i = h + 17; m = p + 16; e = b + 5; h = 14; z = h + 12. If h = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 15 to j, which gives j = u + 26.\n2. Substitute u = a + 17 to j, which gives j = a + 43.\n3. Substitute a = k + 10 to j, which gives j = k + 53.\n4. Substitute k = i + 4 to j, which gives j = i + 57.\n5. Substitute i = h + 17 to j, which gives j = h + 74.\n6. Substitute h = 14 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 890,
"question": "Consider a system of variables where each variable is defined as follows: x = u + 15; r = z + 12; j = x + 11; u = a + 17; b = m + 17; p = r + 15; k = i + 4; a = k + 10; i = h + 17; m = p + 16; e = b + 5; h = 14; z = h + 12. If h = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 2", "l": "o + 1", "e": "l + 4", "p": "e + 4", "i": "p + 18", "z": "i + 1", "x": "y + 9", "d": "x + 17", "s": "d + 15", "h": "s + 3", "v": "h + 13", "g": "v + 14", "y": 13}, "premises": {"y": 13}, "target": "z"}, "answer": {"steps": [["i", "p + 18", "p + 19"], ["p", "e + 4", "e + 23"], ["e", "l + 4", "l + 27"], ["l", "o + 1", "o + 28"], ["o", "y + 2", "y + 30"], ["y", 13, "43"]], "target_var_name": "z", "target_value": 43, "value_dict": {"y": 13}, "is_reverse": true}} | 891 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 3; d = x + 17; i = p + 18; y = 13; l = o + 1; o = y + 2; e = l + 4; s = d + 15; z = i + 1; g = v + 14; p = e + 4; x = y + 9; v = h + 13. If y = 13, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 18 to z, which gives z = p + 19.\n2. Substitute p = e + 4 to z, which gives z = e + 23.\n3. Substitute e = l + 4 to z, which gives z = l + 27.\n4. Substitute l = o + 1 to z, which gives z = o + 28.\n5. Substitute o = y + 2 to z, which gives z = y + 30.\n6. Substitute y = 13 to z, which gives z = 43.\n\nThus, the final answer is z = \\boxed{43}.",
"index": 891,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 3; d = x + 17; i = p + 18; y = 13; l = o + 1; o = y + 2; e = l + 4; s = d + 15; z = i + 1; g = v + 14; p = e + 4; x = y + 9; v = h + 13. If y = 13, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 19", "o": "w + 1", "q": "o + 15", "f": "q + 3", "s": "f + 20", "c": "s + 4", "g": "i + 8", "t": "g + 1", "e": "t + 1", "n": "e + 7", "l": "n + 14", "v": "l + 8", "i": 8}, "premises": {"i": 8}, "target": "c"}, "answer": {"steps": [["w", "i + 19", 27], ["o", "w + 1", 28], ["q", "o + 15", 43], ["f", "q + 3", 46], ["s", "f + 20", 66], ["c", "s + 4", 70]], "target_var_name": "c", "target_value": 70, "value_dict": {"i": 8, "w": 27, "o": 28, "q": 43, "f": 46, "s": 66, "c": 70}, "is_reverse": false}} | 892 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 7; q = o + 15; g = i + 8; t = g + 1; v = l + 8; c = s + 4; o = w + 1; i = 8; w = i + 19; s = f + 20; f = q + 3; e = t + 1; l = n + 14. If i = 8, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = i + 19, which gives w = 27.\n2. Compute o using o = w + 1, which gives o = 28.\n3. Compute q using q = o + 15, which gives q = 43.\n4. Compute f using f = q + 3, which gives f = 46.\n5. Compute s using s = f + 20, which gives s = 66.\n6. Compute c using c = s + 4, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = e + 7; q = o + 15; g = i + 8; t = g + 1; v = l + 8; c = s + 4; o = w + 1; i = 8; w = i + 19; s = f + 20; f = q + 3; e = t + 1; l = n + 14. If i = 8, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 7", "a": "h + 2", "u": "a + 12", "f": "u + 14", "e": "f + 1", "l": "e + 4", "c": "y + 9", "j": "c + 7", "i": "j + 10", "m": "i + 1", "b": "m + 1", "p": "b + 14", "y": 7}, "premises": {"y": 7}, "target": "l"}, "answer": {"steps": [["e", "f + 1", "f + 5"], ["f", "u + 14", "u + 19"], ["u", "a + 12", "a + 31"], ["a", "h + 2", "h + 33"], ["h", "y + 7", "y + 40"], ["y", 7, "47"]], "target_var_name": "l", "target_value": 47, "value_dict": {"y": 7}, "is_reverse": true}} | 893 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 12; y = 7; c = y + 9; b = m + 1; m = i + 1; j = c + 7; a = h + 2; i = j + 10; h = y + 7; f = u + 14; p = b + 14; e = f + 1; l = e + 4. If y = 7, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 1 to l, which gives l = f + 5.\n2. Substitute f = u + 14 to l, which gives l = u + 19.\n3. Substitute u = a + 12 to l, which gives l = a + 31.\n4. Substitute a = h + 2 to l, which gives l = h + 33.\n5. Substitute h = y + 7 to l, which gives l = y + 40.\n6. Substitute y = 7 to l, which gives l = 47.\n\nThus, the final answer is l = \\boxed{47}.",
"index": 893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 12; y = 7; c = y + 9; b = m + 1; m = i + 1; j = c + 7; a = h + 2; i = j + 10; h = y + 7; f = u + 14; p = b + 14; e = f + 1; l = e + 4. If y = 7, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 11", "s": "t + 18", "q": "s + 1", "l": "q + 2", "y": "l + 16", "i": "y + 14", "p": "z + 19", "g": "p + 4", "c": "g + 4", "f": "c + 5", "k": "f + 1", "b": "k + 9", "z": 10}, "premises": {"z": 10}, "target": "i"}, "answer": {"steps": [["t", "z + 11", 21], ["s", "t + 18", 39], ["q", "s + 1", 40], ["l", "q + 2", 42], ["y", "l + 16", 58], ["i", "y + 14", 72]], "target_var_name": "i", "target_value": 72, "value_dict": {"z": 10, "t": 21, "s": 39, "q": 40, "l": 42, "y": 58, "i": 72}, "is_reverse": false}} | 894 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 2; f = c + 5; z = 10; g = p + 4; t = z + 11; b = k + 9; p = z + 19; y = l + 16; s = t + 18; c = g + 4; k = f + 1; i = y + 14; q = s + 1. If z = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = z + 11, which gives t = 21.\n2. Compute s using s = t + 18, which gives s = 39.\n3. Compute q using q = s + 1, which gives q = 40.\n4. Compute l using l = q + 2, which gives l = 42.\n5. Compute y using y = l + 16, which gives y = 58.\n6. Compute i using i = y + 14, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 894,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 2; f = c + 5; z = 10; g = p + 4; t = z + 11; b = k + 9; p = z + 19; y = l + 16; s = t + 18; c = g + 4; k = f + 1; i = y + 14; q = s + 1. If z = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 3", "y": "t + 11", "e": "y + 15", "o": "e + 8", "u": "o + 3", "j": "u + 2", "a": "m + 18", "g": "a + 7", "s": "g + 8", "f": "s + 16", "h": "f + 7", "b": "h + 14", "m": 14}, "premises": {"m": 14}, "target": "j"}, "answer": {"steps": [["t", "m + 3", 17], ["y", "t + 11", 28], ["e", "y + 15", 43], ["o", "e + 8", 51], ["u", "o + 3", 54], ["j", "u + 2", 56]], "target_var_name": "j", "target_value": 56, "value_dict": {"m": 14, "t": 17, "y": 28, "e": 43, "o": 51, "u": 54, "j": 56}, "is_reverse": false}} | 895 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = m + 3; s = g + 8; g = a + 7; b = h + 14; m = 14; u = o + 3; y = t + 11; h = f + 7; j = u + 2; e = y + 15; a = m + 18; f = s + 16; o = e + 8. If m = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = m + 3, which gives t = 17.\n2. Compute y using y = t + 11, which gives y = 28.\n3. Compute e using e = y + 15, which gives e = 43.\n4. Compute o using o = e + 8, which gives o = 51.\n5. Compute u using u = o + 3, which gives u = 54.\n6. Compute j using j = u + 2, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 895,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = m + 3; s = g + 8; g = a + 7; b = h + 14; m = 14; u = o + 3; y = t + 11; h = f + 7; j = u + 2; e = y + 15; a = m + 18; f = s + 16; o = e + 8. If m = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 3", "c": "q + 3", "t": "c + 4", "v": "t + 19", "z": "v + 4", "g": "z + 3", "m": "o + 5", "x": "m + 5", "p": "x + 8", "r": "p + 13", "d": "r + 4", "h": "d + 13", "o": 14}, "premises": {"o": 14}, "target": "g"}, "answer": {"steps": [["z", "v + 4", "v + 7"], ["v", "t + 19", "t + 26"], ["t", "c + 4", "c + 30"], ["c", "q + 3", "q + 33"], ["q", "o + 3", "o + 36"], ["o", 14, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"o": 14}, "is_reverse": true}} | 896 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 13; t = c + 4; o = 14; r = p + 13; q = o + 3; v = t + 19; x = m + 5; z = v + 4; m = o + 5; g = z + 3; c = q + 3; d = r + 4; p = x + 8. If o = 14, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 4 to g, which gives g = v + 7.\n2. Substitute v = t + 19 to g, which gives g = t + 26.\n3. Substitute t = c + 4 to g, which gives g = c + 30.\n4. Substitute c = q + 3 to g, which gives g = q + 33.\n5. Substitute q = o + 3 to g, which gives g = o + 36.\n6. Substitute o = 14 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 13; t = c + 4; o = 14; r = p + 13; q = o + 3; v = t + 19; x = m + 5; z = v + 4; m = o + 5; g = z + 3; c = q + 3; d = r + 4; p = x + 8. If o = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 13", "z": "s + 6", "b": "z + 20", "a": "b + 4", "v": "a + 17", "x": "v + 3", "y": "r + 17", "h": "y + 6", "k": "h + 7", "e": "k + 11", "m": "e + 20", "i": "m + 6", "r": 11}, "premises": {"r": 11}, "target": "x"}, "answer": {"steps": [["s", "r + 13", 24], ["z", "s + 6", 30], ["b", "z + 20", 50], ["a", "b + 4", 54], ["v", "a + 17", 71], ["x", "v + 3", 74]], "target_var_name": "x", "target_value": 74, "value_dict": {"r": 11, "s": 24, "z": 30, "b": 50, "a": 54, "v": 71, "x": 74}, "is_reverse": false}} | 897 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 6; e = k + 11; h = y + 6; r = 11; y = r + 17; m = e + 20; k = h + 7; v = a + 17; b = z + 20; z = s + 6; x = v + 3; s = r + 13; a = b + 4. Given that r = 11, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = r + 13, which gives s = 24.\n2. Compute z using z = s + 6, which gives z = 30.\n3. Compute b using b = z + 20, which gives b = 50.\n4. Compute a using a = b + 4, which gives a = 54.\n5. Compute v using v = a + 17, which gives v = 71.\n6. Compute x using x = v + 3, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 897,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 6; e = k + 11; h = y + 6; r = 11; y = r + 17; m = e + 20; k = h + 7; v = a + 17; b = z + 20; z = s + 6; x = v + 3; s = r + 13; a = b + 4. Given that r = 11, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 2", "o": "q + 10", "v": "o + 13", "h": "v + 11", "d": "h + 18", "t": "d + 1", "c": "s + 15", "j": "c + 4", "i": "j + 15", "b": "i + 9", "y": "b + 7", "u": "y + 6", "s": 14}, "premises": {"s": 14}, "target": "t"}, "answer": {"steps": [["d", "h + 18", "h + 19"], ["h", "v + 11", "v + 30"], ["v", "o + 13", "o + 43"], ["o", "q + 10", "q + 53"], ["q", "s + 2", "s + 55"], ["s", 14, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"s": 14}, "is_reverse": true}} | 898 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 2; h = v + 11; y = b + 7; o = q + 10; u = y + 6; s = 14; d = h + 18; t = d + 1; v = o + 13; b = i + 9; j = c + 4; c = s + 15; i = j + 15. If s = 14, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 18 to t, which gives t = h + 19.\n2. Substitute h = v + 11 to t, which gives t = v + 30.\n3. Substitute v = o + 13 to t, which gives t = o + 43.\n4. Substitute o = q + 10 to t, which gives t = q + 53.\n5. Substitute q = s + 2 to t, which gives t = s + 55.\n6. Substitute s = 14 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 898,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 2; h = v + 11; y = b + 7; o = q + 10; u = y + 6; s = 14; d = h + 18; t = d + 1; v = o + 13; b = i + 9; j = c + 4; c = s + 15; i = j + 15. If s = 14, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 14", "v": "x + 9", "h": "v + 19", "p": "h + 8", "e": "p + 3", "t": "e + 12", "s": "r + 12", "b": "s + 19", "n": "b + 7", "a": "n + 5", "o": "a + 20", "m": "o + 12", "r": 20}, "premises": {"r": 20}, "target": "t"}, "answer": {"steps": [["e", "p + 3", "p + 15"], ["p", "h + 8", "h + 23"], ["h", "v + 19", "v + 42"], ["v", "x + 9", "x + 51"], ["x", "r + 14", "r + 65"], ["r", 20, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"r": 20}, "is_reverse": true}} | 899 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = b + 7; x = r + 14; r = 20; b = s + 19; h = v + 19; m = o + 12; o = a + 20; a = n + 5; p = h + 8; e = p + 3; t = e + 12; s = r + 12; v = x + 9. If r = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = p + 3 to t, which gives t = p + 15.\n2. Substitute p = h + 8 to t, which gives t = h + 23.\n3. Substitute h = v + 19 to t, which gives t = v + 42.\n4. Substitute v = x + 9 to t, which gives t = x + 51.\n5. Substitute x = r + 14 to t, which gives t = r + 65.\n6. Substitute r = 20 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 899,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 7; x = r + 14; r = 20; b = s + 19; h = v + 19; m = o + 12; o = a + 20; a = n + 5; p = h + 8; e = p + 3; t = e + 12; s = r + 12; v = x + 9. If r = 20, determine the value of t.",
"split": "train"
} |
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