meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"c": "v + 19", "u": "c + 4", "x": "u + 4", "f": "x + 20", "d": "f + 15", "p": "d + 6", "s": "v + 12", "o": "s + 3", "e": "o + 10", "z": "e + 13", "n": "z + 13", "j": "n + 14", "v": 12}, "premises": {"v": 12}, "target": "p"}, "answer": {"steps": [["d", "f + 15", "f + 21"], ["f", "x + 20", "x + 41"], ["x", "u + 4", "u + 45"], ["u", "c + 4", "c + 49"], ["c", "v + 19", "v + 68"], ["v", 12, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"v": 12}, "is_reverse": true}} | 17,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 12; p = d + 6; n = z + 13; x = u + 4; e = o + 10; z = e + 13; c = v + 19; u = c + 4; j = n + 14; o = s + 3; s = v + 12; d = f + 15; f = x + 20. If v = 12, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 15 to p, which gives p = f + 21.\n2. Substitute f = x + 20 to p, which gives p = x + 41.\n3. Substitute x = u + 4 to p, which gives p = u + 45.\n4. Substitute u = c + 4 to p, which gives p = c + 49.\n5. Substitute c = v + 19 to p, which gives p = v + 68.\n6. Substitute v = 12 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 17300,
"question": "Consider a system of variables where each variable is defined as follows: v = 12; p = d + 6; n = z + 13; x = u + 4; e = o + 10; z = e + 13; c = v + 19; u = c + 4; j = n + 14; o = s + 3; s = v + 12; d = f + 15; f = x + 20. If v = 12, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 17", "x": "f + 13", "k": "x + 9", "r": "k + 12", "c": "r + 17", "y": "c + 1", "d": "n + 11", "q": "d + 11", "g": "q + 6", "u": "g + 20", "h": "u + 8", "o": "h + 3", "n": 7}, "premises": {"n": 7}, "target": "y"}, "answer": {"steps": [["c", "r + 17", "r + 18"], ["r", "k + 12", "k + 30"], ["k", "x + 9", "x + 39"], ["x", "f + 13", "f + 52"], ["f", "n + 17", "n + 69"], ["n", 7, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"n": 7}, "is_reverse": true}} | 17,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 12; u = g + 20; q = d + 11; h = u + 8; y = c + 1; c = r + 17; o = h + 3; x = f + 13; g = q + 6; k = x + 9; d = n + 11; n = 7; f = n + 17. If n = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 17 to y, which gives y = r + 18.\n2. Substitute r = k + 12 to y, which gives y = k + 30.\n3. Substitute k = x + 9 to y, which gives y = x + 39.\n4. Substitute x = f + 13 to y, which gives y = f + 52.\n5. Substitute f = n + 17 to y, which gives y = n + 69.\n6. Substitute n = 7 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 17301,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 12; u = g + 20; q = d + 11; h = u + 8; y = c + 1; c = r + 17; o = h + 3; x = f + 13; g = q + 6; k = x + 9; d = n + 11; n = 7; f = n + 17. If n = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 8", "u": "x + 8", "g": "u + 16", "q": "g + 11", "i": "q + 16", "j": "i + 9", "n": "w + 18", "h": "n + 10", "b": "h + 15", "p": "b + 16", "o": "p + 7", "z": "o + 3", "w": 12}, "premises": {"w": 12}, "target": "j"}, "answer": {"steps": [["i", "q + 16", "q + 25"], ["q", "g + 11", "g + 36"], ["g", "u + 16", "u + 52"], ["u", "x + 8", "x + 60"], ["x", "w + 8", "w + 68"], ["w", 12, "80"]], "target_var_name": "j", "target_value": 80, "value_dict": {"w": 12}, "is_reverse": true}} | 17,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 12; n = w + 18; x = w + 8; u = x + 8; g = u + 16; i = q + 16; z = o + 3; p = b + 16; o = p + 7; h = n + 10; j = i + 9; q = g + 11; b = h + 15. If w = 12, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 16 to j, which gives j = q + 25.\n2. Substitute q = g + 11 to j, which gives j = g + 36.\n3. Substitute g = u + 16 to j, which gives j = u + 52.\n4. Substitute u = x + 8 to j, which gives j = x + 60.\n5. Substitute x = w + 8 to j, which gives j = w + 68.\n6. Substitute w = 12 to j, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 17302,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 12; n = w + 18; x = w + 8; u = x + 8; g = u + 16; i = q + 16; z = o + 3; p = b + 16; o = p + 7; h = n + 10; j = i + 9; q = g + 11; b = h + 15. If w = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 6", "x": "e + 13", "c": "x + 10", "k": "c + 10", "u": "k + 10", "p": "u + 18", "m": "r + 11", "f": "m + 20", "b": "f + 7", "i": "b + 3", "j": "i + 14", "d": "j + 2", "r": 19}, "premises": {"r": 19}, "target": "p"}, "answer": {"steps": [["u", "k + 10", "k + 28"], ["k", "c + 10", "c + 38"], ["c", "x + 10", "x + 48"], ["x", "e + 13", "e + 61"], ["e", "r + 6", "r + 67"], ["r", 19, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"r": 19}, "is_reverse": true}} | 17,303 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 19; p = u + 18; f = m + 20; k = c + 10; b = f + 7; j = i + 14; m = r + 11; i = b + 3; x = e + 13; d = j + 2; e = r + 6; u = k + 10; c = x + 10. Given that r = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 10 to p, which gives p = k + 28.\n2. Substitute k = c + 10 to p, which gives p = c + 38.\n3. Substitute c = x + 10 to p, which gives p = x + 48.\n4. Substitute x = e + 13 to p, which gives p = e + 61.\n5. Substitute e = r + 6 to p, which gives p = r + 67.\n6. Substitute r = 19 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 17303,
"question": "Suppose a collection of variables is related by the following definitions: r = 19; p = u + 18; f = m + 20; k = c + 10; b = f + 7; j = i + 14; m = r + 11; i = b + 3; x = e + 13; d = j + 2; e = r + 6; u = k + 10; c = x + 10. Given that r = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 7", "q": "v + 3", "m": "q + 18", "e": "m + 18", "h": "e + 2", "t": "h + 12", "g": "n + 9", "b": "g + 2", "o": "b + 10", "f": "o + 13", "s": "f + 10", "x": "s + 6", "n": 17}, "premises": {"n": 17}, "target": "t"}, "answer": {"steps": [["h", "e + 2", "e + 14"], ["e", "m + 18", "m + 32"], ["m", "q + 18", "q + 50"], ["q", "v + 3", "v + 53"], ["v", "n + 7", "n + 60"], ["n", 17, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"n": 17}, "is_reverse": true}} | 17,304 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = o + 13; s = f + 10; n = 17; t = h + 12; o = b + 10; b = g + 2; g = n + 9; q = v + 3; e = m + 18; x = s + 6; h = e + 2; v = n + 7; m = q + 18. Given that n = 17, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 2 to t, which gives t = e + 14.\n2. Substitute e = m + 18 to t, which gives t = m + 32.\n3. Substitute m = q + 18 to t, which gives t = q + 50.\n4. Substitute q = v + 3 to t, which gives t = v + 53.\n5. Substitute v = n + 7 to t, which gives t = n + 60.\n6. Substitute n = 17 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 17304,
"question": "Suppose a collection of variables is related by the following definitions: f = o + 13; s = f + 10; n = 17; t = h + 12; o = b + 10; b = g + 2; g = n + 9; q = v + 3; e = m + 18; x = s + 6; h = e + 2; v = n + 7; m = q + 18. Given that n = 17, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 3", "x": "s + 5", "u": "x + 6", "l": "u + 3", "w": "l + 7", "z": "w + 12", "y": "v + 19", "a": "y + 15", "d": "a + 13", "m": "d + 7", "i": "m + 18", "g": "i + 3", "v": 11}, "premises": {"v": 11}, "target": "z"}, "answer": {"steps": [["w", "l + 7", "l + 19"], ["l", "u + 3", "u + 22"], ["u", "x + 6", "x + 28"], ["x", "s + 5", "s + 33"], ["s", "v + 3", "v + 36"], ["v", 11, "47"]], "target_var_name": "z", "target_value": 47, "value_dict": {"v": 11}, "is_reverse": true}} | 17,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 13; i = m + 18; x = s + 5; m = d + 7; s = v + 3; g = i + 3; a = y + 15; z = w + 12; v = 11; y = v + 19; l = u + 3; w = l + 7; u = x + 6. Given that v = 11, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 7 to z, which gives z = l + 19.\n2. Substitute l = u + 3 to z, which gives z = u + 22.\n3. Substitute u = x + 6 to z, which gives z = x + 28.\n4. Substitute x = s + 5 to z, which gives z = s + 33.\n5. Substitute s = v + 3 to z, which gives z = v + 36.\n6. Substitute v = 11 to z, which gives z = 47.\n\nThus, the final answer is z = \\boxed{47}.",
"index": 17305,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 13; i = m + 18; x = s + 5; m = d + 7; s = v + 3; g = i + 3; a = y + 15; z = w + 12; v = 11; y = v + 19; l = u + 3; w = l + 7; u = x + 6. Given that v = 11, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 1", "h": "p + 6", "v": "h + 7", "d": "v + 11", "j": "d + 14", "u": "j + 13", "w": "m + 15", "z": "w + 2", "s": "z + 4", "k": "s + 13", "f": "k + 7", "t": "f + 7", "m": 1}, "premises": {"m": 1}, "target": "u"}, "answer": {"steps": [["j", "d + 14", "d + 27"], ["d", "v + 11", "v + 38"], ["v", "h + 7", "h + 45"], ["h", "p + 6", "p + 51"], ["p", "m + 1", "m + 52"], ["m", 1, "53"]], "target_var_name": "u", "target_value": 53, "value_dict": {"m": 1}, "is_reverse": true}} | 17,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 7; p = m + 1; w = m + 15; s = z + 4; d = v + 11; j = d + 14; v = h + 7; k = s + 13; m = 1; u = j + 13; f = k + 7; z = w + 2; h = p + 6. If m = 1, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 14 to u, which gives u = d + 27.\n2. Substitute d = v + 11 to u, which gives u = v + 38.\n3. Substitute v = h + 7 to u, which gives u = h + 45.\n4. Substitute h = p + 6 to u, which gives u = p + 51.\n5. Substitute p = m + 1 to u, which gives u = m + 52.\n6. Substitute m = 1 to u, which gives u = 53.\n\nThus, the final answer is u = \\boxed{53}.",
"index": 17306,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 7; p = m + 1; w = m + 15; s = z + 4; d = v + 11; j = d + 14; v = h + 7; k = s + 13; m = 1; u = j + 13; f = k + 7; z = w + 2; h = p + 6. If m = 1, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 11", "y": "l + 1", "v": "y + 18", "p": "v + 13", "d": "p + 13", "i": "d + 2", "x": "w + 17", "h": "x + 3", "g": "h + 5", "o": "g + 14", "q": "o + 8", "u": "q + 2", "w": 10}, "premises": {"w": 10}, "target": "i"}, "answer": {"steps": [["d", "p + 13", "p + 15"], ["p", "v + 13", "v + 28"], ["v", "y + 18", "y + 46"], ["y", "l + 1", "l + 47"], ["l", "w + 11", "w + 58"], ["w", 10, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"w": 10}, "is_reverse": true}} | 17,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 1; d = p + 13; q = o + 8; p = v + 13; w = 10; o = g + 14; u = q + 2; l = w + 11; v = y + 18; x = w + 17; g = h + 5; i = d + 2; h = x + 3. If w = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 13 to i, which gives i = p + 15.\n2. Substitute p = v + 13 to i, which gives i = v + 28.\n3. Substitute v = y + 18 to i, which gives i = y + 46.\n4. Substitute y = l + 1 to i, which gives i = l + 47.\n5. Substitute l = w + 11 to i, which gives i = w + 58.\n6. Substitute w = 10 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 17307,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 1; d = p + 13; q = o + 8; p = v + 13; w = 10; o = g + 14; u = q + 2; l = w + 11; v = y + 18; x = w + 17; g = h + 5; i = d + 2; h = x + 3. If w = 10, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 19", "e": "i + 7", "c": "e + 6", "d": "c + 12", "a": "d + 7", "n": "a + 6", "v": "m + 8", "z": "v + 3", "s": "z + 9", "l": "s + 10", "t": "l + 12", "y": "t + 4", "m": 1}, "premises": {"m": 1}, "target": "n"}, "answer": {"steps": [["a", "d + 7", "d + 13"], ["d", "c + 12", "c + 25"], ["c", "e + 6", "e + 31"], ["e", "i + 7", "i + 38"], ["i", "m + 19", "m + 57"], ["m", 1, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"m": 1}, "is_reverse": true}} | 17,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = v + 3; d = c + 12; v = m + 8; m = 1; l = s + 10; n = a + 6; e = i + 7; i = m + 19; s = z + 9; a = d + 7; t = l + 12; c = e + 6; y = t + 4. If m = 1, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 7 to n, which gives n = d + 13.\n2. Substitute d = c + 12 to n, which gives n = c + 25.\n3. Substitute c = e + 6 to n, which gives n = e + 31.\n4. Substitute e = i + 7 to n, which gives n = i + 38.\n5. Substitute i = m + 19 to n, which gives n = m + 57.\n6. Substitute m = 1 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 17308,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = v + 3; d = c + 12; v = m + 8; m = 1; l = s + 10; n = a + 6; e = i + 7; i = m + 19; s = z + 9; a = d + 7; t = l + 12; c = e + 6; y = t + 4. If m = 1, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 20", "a": "m + 15", "k": "a + 9", "q": "k + 11", "n": "q + 6", "e": "n + 11", "f": "g + 13", "w": "f + 1", "j": "w + 17", "b": "j + 13", "t": "b + 20", "u": "t + 13", "g": 10}, "premises": {"g": 10}, "target": "e"}, "answer": {"steps": [["n", "q + 6", "q + 17"], ["q", "k + 11", "k + 28"], ["k", "a + 9", "a + 37"], ["a", "m + 15", "m + 52"], ["m", "g + 20", "g + 72"], ["g", 10, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"g": 10}, "is_reverse": true}} | 17,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 17; u = t + 13; q = k + 11; e = n + 11; m = g + 20; k = a + 9; a = m + 15; f = g + 13; t = b + 20; b = j + 13; w = f + 1; n = q + 6; g = 10. If g = 10, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 6 to e, which gives e = q + 17.\n2. Substitute q = k + 11 to e, which gives e = k + 28.\n3. Substitute k = a + 9 to e, which gives e = a + 37.\n4. Substitute a = m + 15 to e, which gives e = m + 52.\n5. Substitute m = g + 20 to e, which gives e = g + 72.\n6. Substitute g = 10 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 17309,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 17; u = t + 13; q = k + 11; e = n + 11; m = g + 20; k = a + 9; a = m + 15; f = g + 13; t = b + 20; b = j + 13; w = f + 1; n = q + 6; g = 10. If g = 10, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 18", "s": "c + 18", "w": "s + 19", "n": "w + 8", "f": "n + 12", "t": "f + 1", "d": "z + 2", "p": "d + 10", "b": "p + 4", "v": "b + 7", "x": "v + 14", "l": "x + 9", "z": 11}, "premises": {"z": 11}, "target": "t"}, "answer": {"steps": [["f", "n + 12", "n + 13"], ["n", "w + 8", "w + 21"], ["w", "s + 19", "s + 40"], ["s", "c + 18", "c + 58"], ["c", "z + 18", "z + 76"], ["z", 11, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"z": 11}, "is_reverse": true}} | 17,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 18; v = b + 7; z = 11; s = c + 18; p = d + 10; b = p + 4; x = v + 14; f = n + 12; t = f + 1; n = w + 8; d = z + 2; w = s + 19; l = x + 9. If z = 11, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 12 to t, which gives t = n + 13.\n2. Substitute n = w + 8 to t, which gives t = w + 21.\n3. Substitute w = s + 19 to t, which gives t = s + 40.\n4. Substitute s = c + 18 to t, which gives t = c + 58.\n5. Substitute c = z + 18 to t, which gives t = z + 76.\n6. Substitute z = 11 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 17310,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 18; v = b + 7; z = 11; s = c + 18; p = d + 10; b = p + 4; x = v + 14; f = n + 12; t = f + 1; n = w + 8; d = z + 2; w = s + 19; l = x + 9. If z = 11, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 3", "q": "e + 8", "o": "q + 12", "i": "o + 5", "j": "i + 12", "m": "j + 16", "l": "x + 10", "k": "l + 4", "v": "k + 11", "w": "v + 20", "y": "w + 18", "s": "y + 11", "x": 10}, "premises": {"x": 10}, "target": "m"}, "answer": {"steps": [["j", "i + 12", "i + 28"], ["i", "o + 5", "o + 33"], ["o", "q + 12", "q + 45"], ["q", "e + 8", "e + 53"], ["e", "x + 3", "x + 56"], ["x", 10, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"x": 10}, "is_reverse": true}} | 17,311 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = j + 16; q = e + 8; i = o + 5; y = w + 18; j = i + 12; o = q + 12; v = k + 11; k = l + 4; x = 10; l = x + 10; w = v + 20; e = x + 3; s = y + 11. If x = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 12 to m, which gives m = i + 28.\n2. Substitute i = o + 5 to m, which gives m = o + 33.\n3. Substitute o = q + 12 to m, which gives m = q + 45.\n4. Substitute q = e + 8 to m, which gives m = e + 53.\n5. Substitute e = x + 3 to m, which gives m = x + 56.\n6. Substitute x = 10 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 17311,
"question": "Consider a system of variables where each variable is defined as follows: m = j + 16; q = e + 8; i = o + 5; y = w + 18; j = i + 12; o = q + 12; v = k + 11; k = l + 4; x = 10; l = x + 10; w = v + 20; e = x + 3; s = y + 11. If x = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 2", "a": "u + 2", "r": "a + 11", "l": "r + 7", "j": "l + 5", "d": "j + 11", "h": "g + 7", "m": "h + 2", "o": "m + 14", "w": "o + 1", "p": "w + 12", "k": "p + 11", "g": 8}, "premises": {"g": 8}, "target": "d"}, "answer": {"steps": [["j", "l + 5", "l + 16"], ["l", "r + 7", "r + 23"], ["r", "a + 11", "a + 34"], ["a", "u + 2", "u + 36"], ["u", "g + 2", "g + 38"], ["g", 8, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"g": 8}, "is_reverse": true}} | 17,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = r + 7; u = g + 2; p = w + 12; d = j + 11; m = h + 2; k = p + 11; j = l + 5; g = 8; h = g + 7; o = m + 14; w = o + 1; r = a + 11; a = u + 2. If g = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 5 to d, which gives d = l + 16.\n2. Substitute l = r + 7 to d, which gives d = r + 23.\n3. Substitute r = a + 11 to d, which gives d = a + 34.\n4. Substitute a = u + 2 to d, which gives d = u + 36.\n5. Substitute u = g + 2 to d, which gives d = g + 38.\n6. Substitute g = 8 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 17312,
"question": "Consider a system of variables where each variable is defined as follows: l = r + 7; u = g + 2; p = w + 12; d = j + 11; m = h + 2; k = p + 11; j = l + 5; g = 8; h = g + 7; o = m + 14; w = o + 1; r = a + 11; a = u + 2. If g = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 9", "q": "o + 1", "r": "q + 6", "l": "r + 20", "m": "l + 20", "v": "m + 2", "b": "t + 4", "k": "b + 6", "y": "k + 2", "a": "y + 13", "s": "a + 4", "n": "s + 5", "t": 2}, "premises": {"t": 2}, "target": "v"}, "answer": {"steps": [["m", "l + 20", "l + 22"], ["l", "r + 20", "r + 42"], ["r", "q + 6", "q + 48"], ["q", "o + 1", "o + 49"], ["o", "t + 9", "t + 58"], ["t", 2, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"t": 2}, "is_reverse": true}} | 17,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = l + 20; l = r + 20; s = a + 4; b = t + 4; o = t + 9; q = o + 1; t = 2; k = b + 6; v = m + 2; n = s + 5; y = k + 2; r = q + 6; a = y + 13. Given that t = 2, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 20 to v, which gives v = l + 22.\n2. Substitute l = r + 20 to v, which gives v = r + 42.\n3. Substitute r = q + 6 to v, which gives v = q + 48.\n4. Substitute q = o + 1 to v, which gives v = o + 49.\n5. Substitute o = t + 9 to v, which gives v = t + 58.\n6. Substitute t = 2 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 17313,
"question": "Suppose a collection of variables is related by the following definitions: m = l + 20; l = r + 20; s = a + 4; b = t + 4; o = t + 9; q = o + 1; t = 2; k = b + 6; v = m + 2; n = s + 5; y = k + 2; r = q + 6; a = y + 13. Given that t = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "z + 11", "o": "f + 2", "v": "o + 19", "d": "v + 2", "b": "d + 17", "i": "b + 5", "h": "z + 6", "y": "h + 5", "w": "y + 14", "e": "w + 6", "p": "e + 12", "s": "p + 19", "z": 6}, "premises": {"z": 6}, "target": "i"}, "answer": {"steps": [["b", "d + 17", "d + 22"], ["d", "v + 2", "v + 24"], ["v", "o + 19", "o + 43"], ["o", "f + 2", "f + 45"], ["f", "z + 11", "z + 56"], ["z", 6, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"z": 6}, "is_reverse": true}} | 17,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 19; e = w + 6; p = e + 12; b = d + 17; d = v + 2; h = z + 6; z = 6; i = b + 5; o = f + 2; v = o + 19; y = h + 5; f = z + 11; w = y + 14. If z = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 17 to i, which gives i = d + 22.\n2. Substitute d = v + 2 to i, which gives i = v + 24.\n3. Substitute v = o + 19 to i, which gives i = o + 43.\n4. Substitute o = f + 2 to i, which gives i = f + 45.\n5. Substitute f = z + 11 to i, which gives i = z + 56.\n6. Substitute z = 6 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 17314,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = p + 19; e = w + 6; p = e + 12; b = d + 17; d = v + 2; h = z + 6; z = 6; i = b + 5; o = f + 2; v = o + 19; y = h + 5; f = z + 11; w = y + 14. If z = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 2", "n": "v + 7", "s": "n + 3", "m": "s + 10", "a": "m + 15", "w": "a + 1", "t": "r + 19", "k": "t + 20", "q": "k + 3", "c": "q + 6", "d": "c + 18", "x": "d + 13", "r": 11}, "premises": {"r": 11}, "target": "w"}, "answer": {"steps": [["a", "m + 15", "m + 16"], ["m", "s + 10", "s + 26"], ["s", "n + 3", "n + 29"], ["n", "v + 7", "v + 36"], ["v", "r + 2", "r + 38"], ["r", 11, "49"]], "target_var_name": "w", "target_value": 49, "value_dict": {"r": 11}, "is_reverse": true}} | 17,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 20; c = q + 6; d = c + 18; x = d + 13; s = n + 3; n = v + 7; r = 11; a = m + 15; v = r + 2; w = a + 1; m = s + 10; t = r + 19; q = k + 3. If r = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 15 to w, which gives w = m + 16.\n2. Substitute m = s + 10 to w, which gives w = s + 26.\n3. Substitute s = n + 3 to w, which gives w = n + 29.\n4. Substitute n = v + 7 to w, which gives w = v + 36.\n5. Substitute v = r + 2 to w, which gives w = r + 38.\n6. Substitute r = 11 to w, which gives w = 49.\n\nThus, the final answer is w = \\boxed{49}.",
"index": 17315,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 20; c = q + 6; d = c + 18; x = d + 13; s = n + 3; n = v + 7; r = 11; a = m + 15; v = r + 2; w = a + 1; m = s + 10; t = r + 19; q = k + 3. If r = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 12", "w": "i + 18", "j": "w + 11", "k": "j + 13", "a": "k + 20", "s": "a + 20", "f": "o + 14", "d": "f + 11", "y": "d + 15", "c": "y + 5", "x": "c + 10", "v": "x + 10", "o": 17}, "premises": {"o": 17}, "target": "s"}, "answer": {"steps": [["a", "k + 20", "k + 40"], ["k", "j + 13", "j + 53"], ["j", "w + 11", "w + 64"], ["w", "i + 18", "i + 82"], ["i", "o + 12", "o + 94"], ["o", 17, "111"]], "target_var_name": "s", "target_value": 111, "value_dict": {"o": 17}, "is_reverse": true}} | 17,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 11; w = i + 18; x = c + 10; f = o + 14; v = x + 10; d = f + 11; o = 17; a = k + 20; i = o + 12; y = d + 15; c = y + 5; k = j + 13; s = a + 20. Given that o = 17, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 20 to s, which gives s = k + 40.\n2. Substitute k = j + 13 to s, which gives s = j + 53.\n3. Substitute j = w + 11 to s, which gives s = w + 64.\n4. Substitute w = i + 18 to s, which gives s = i + 82.\n5. Substitute i = o + 12 to s, which gives s = o + 94.\n6. Substitute o = 17 to s, which gives s = 111.\n\nThus, the final answer is s = \\boxed{111}.",
"index": 17316,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 11; w = i + 18; x = c + 10; f = o + 14; v = x + 10; d = f + 11; o = 17; a = k + 20; i = o + 12; y = d + 15; c = y + 5; k = j + 13; s = a + 20. Given that o = 17, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 13", "a": "t + 1", "e": "a + 20", "o": "e + 12", "w": "o + 13", "m": "w + 14", "h": "g + 17", "k": "h + 5", "z": "k + 20", "q": "z + 19", "l": "q + 16", "v": "l + 7", "g": 1}, "premises": {"g": 1}, "target": "m"}, "answer": {"steps": [["w", "o + 13", "o + 27"], ["o", "e + 12", "e + 39"], ["e", "a + 20", "a + 59"], ["a", "t + 1", "t + 60"], ["t", "g + 13", "g + 73"], ["g", 1, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"g": 1}, "is_reverse": true}} | 17,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 16; g = 1; v = l + 7; o = e + 12; h = g + 17; m = w + 14; q = z + 19; t = g + 13; w = o + 13; z = k + 20; k = h + 5; e = a + 20; a = t + 1. If g = 1, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 13 to m, which gives m = o + 27.\n2. Substitute o = e + 12 to m, which gives m = e + 39.\n3. Substitute e = a + 20 to m, which gives m = a + 59.\n4. Substitute a = t + 1 to m, which gives m = t + 60.\n5. Substitute t = g + 13 to m, which gives m = g + 73.\n6. Substitute g = 1 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 17317,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 16; g = 1; v = l + 7; o = e + 12; h = g + 17; m = w + 14; q = z + 19; t = g + 13; w = o + 13; z = k + 20; k = h + 5; e = a + 20; a = t + 1. If g = 1, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 8", "m": "i + 5", "b": "m + 2", "p": "b + 18", "d": "p + 5", "c": "d + 15", "e": "z + 2", "y": "e + 20", "h": "y + 5", "q": "h + 6", "t": "q + 6", "l": "t + 9", "z": 16}, "premises": {"z": 16}, "target": "c"}, "answer": {"steps": [["d", "p + 5", "p + 20"], ["p", "b + 18", "b + 38"], ["b", "m + 2", "m + 40"], ["m", "i + 5", "i + 45"], ["i", "z + 8", "z + 53"], ["z", 16, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"z": 16}, "is_reverse": true}} | 17,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 9; y = e + 20; d = p + 5; m = i + 5; h = y + 5; p = b + 18; t = q + 6; z = 16; b = m + 2; q = h + 6; c = d + 15; e = z + 2; i = z + 8. If z = 16, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 5 to c, which gives c = p + 20.\n2. Substitute p = b + 18 to c, which gives c = b + 38.\n3. Substitute b = m + 2 to c, which gives c = m + 40.\n4. Substitute m = i + 5 to c, which gives c = i + 45.\n5. Substitute i = z + 8 to c, which gives c = z + 53.\n6. Substitute z = 16 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 17318,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 9; y = e + 20; d = p + 5; m = i + 5; h = y + 5; p = b + 18; t = q + 6; z = 16; b = m + 2; q = h + 6; c = d + 15; e = z + 2; i = z + 8. If z = 16, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 11", "z": "b + 19", "n": "z + 10", "e": "n + 15", "o": "e + 17", "r": "o + 4", "w": "c + 9", "v": "w + 3", "q": "v + 11", "k": "q + 19", "d": "k + 16", "l": "d + 15", "c": 1}, "premises": {"c": 1}, "target": "r"}, "answer": {"steps": [["o", "e + 17", "e + 21"], ["e", "n + 15", "n + 36"], ["n", "z + 10", "z + 46"], ["z", "b + 19", "b + 65"], ["b", "c + 11", "c + 76"], ["c", 1, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"c": 1}, "is_reverse": true}} | 17,319 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 15; n = z + 10; d = k + 16; l = d + 15; k = q + 19; o = e + 17; v = w + 3; q = v + 11; b = c + 11; c = 1; r = o + 4; z = b + 19; w = c + 9. Given that c = 1, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 17 to r, which gives r = e + 21.\n2. Substitute e = n + 15 to r, which gives r = n + 36.\n3. Substitute n = z + 10 to r, which gives r = z + 46.\n4. Substitute z = b + 19 to r, which gives r = b + 65.\n5. Substitute b = c + 11 to r, which gives r = c + 76.\n6. Substitute c = 1 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 17319,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 15; n = z + 10; d = k + 16; l = d + 15; k = q + 19; o = e + 17; v = w + 3; q = v + 11; b = c + 11; c = 1; r = o + 4; z = b + 19; w = c + 9. Given that c = 1, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 17", "o": "t + 13", "d": "o + 6", "c": "d + 9", "s": "c + 17", "l": "s + 5", "g": "x + 15", "p": "g + 7", "h": "p + 9", "m": "h + 8", "y": "m + 13", "u": "y + 15", "x": 11}, "premises": {"x": 11}, "target": "l"}, "answer": {"steps": [["s", "c + 17", "c + 22"], ["c", "d + 9", "d + 31"], ["d", "o + 6", "o + 37"], ["o", "t + 13", "t + 50"], ["t", "x + 17", "x + 67"], ["x", 11, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"x": 11}, "is_reverse": true}} | 17,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 13; g = x + 15; h = p + 9; d = o + 6; x = 11; l = s + 5; s = c + 17; y = m + 13; t = x + 17; m = h + 8; u = y + 15; p = g + 7; c = d + 9. If x = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 17 to l, which gives l = c + 22.\n2. Substitute c = d + 9 to l, which gives l = d + 31.\n3. Substitute d = o + 6 to l, which gives l = o + 37.\n4. Substitute o = t + 13 to l, which gives l = t + 50.\n5. Substitute t = x + 17 to l, which gives l = x + 67.\n6. Substitute x = 11 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 17320,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 13; g = x + 15; h = p + 9; d = o + 6; x = 11; l = s + 5; s = c + 17; y = m + 13; t = x + 17; m = h + 8; u = y + 15; p = g + 7; c = d + 9. If x = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 6", "w": "d + 7", "r": "w + 2", "p": "r + 7", "c": "p + 10", "y": "c + 9", "t": "z + 7", "k": "t + 9", "g": "k + 20", "h": "g + 20", "v": "h + 13", "j": "v + 5", "z": 19}, "premises": {"z": 19}, "target": "y"}, "answer": {"steps": [["c", "p + 10", "p + 19"], ["p", "r + 7", "r + 26"], ["r", "w + 2", "w + 28"], ["w", "d + 7", "d + 35"], ["d", "z + 6", "z + 41"], ["z", 19, "60"]], "target_var_name": "y", "target_value": 60, "value_dict": {"z": 19}, "is_reverse": true}} | 17,321 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = w + 2; p = r + 7; h = g + 20; z = 19; t = z + 7; v = h + 13; y = c + 9; c = p + 10; w = d + 7; g = k + 20; d = z + 6; j = v + 5; k = t + 9. Given that z = 19, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 10 to y, which gives y = p + 19.\n2. Substitute p = r + 7 to y, which gives y = r + 26.\n3. Substitute r = w + 2 to y, which gives y = w + 28.\n4. Substitute w = d + 7 to y, which gives y = d + 35.\n5. Substitute d = z + 6 to y, which gives y = z + 41.\n6. Substitute z = 19 to y, which gives y = 60.\n\nThus, the final answer is y = \\boxed{60}.",
"index": 17321,
"question": "Suppose a collection of variables is related by the following definitions: r = w + 2; p = r + 7; h = g + 20; z = 19; t = z + 7; v = h + 13; y = c + 9; c = p + 10; w = d + 7; g = k + 20; d = z + 6; j = v + 5; k = t + 9. Given that z = 19, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 16", "u": "j + 6", "h": "u + 18", "w": "h + 3", "i": "w + 14", "e": "i + 16", "d": "b + 3", "k": "d + 10", "y": "k + 6", "f": "y + 20", "t": "f + 10", "x": "t + 5", "b": 12}, "premises": {"b": 12}, "target": "e"}, "answer": {"steps": [["i", "w + 14", "w + 30"], ["w", "h + 3", "h + 33"], ["h", "u + 18", "u + 51"], ["u", "j + 6", "j + 57"], ["j", "b + 16", "b + 73"], ["b", 12, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"b": 12}, "is_reverse": true}} | 17,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 6; f = y + 20; u = j + 6; b = 12; i = w + 14; j = b + 16; k = d + 10; e = i + 16; t = f + 10; d = b + 3; x = t + 5; w = h + 3; h = u + 18. Given that b = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 14 to e, which gives e = w + 30.\n2. Substitute w = h + 3 to e, which gives e = h + 33.\n3. Substitute h = u + 18 to e, which gives e = u + 51.\n4. Substitute u = j + 6 to e, which gives e = j + 57.\n5. Substitute j = b + 16 to e, which gives e = b + 73.\n6. Substitute b = 12 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 17322,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 6; f = y + 20; u = j + 6; b = 12; i = w + 14; j = b + 16; k = d + 10; e = i + 16; t = f + 10; d = b + 3; x = t + 5; w = h + 3; h = u + 18. Given that b = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"f": "y + 11", "x": "f + 1", "l": "x + 8", "d": "l + 8", "h": "d + 9", "m": "h + 13", "w": "y + 18", "b": "w + 9", "u": "b + 12", "k": "u + 19", "g": "k + 7", "n": "g + 10", "y": 11}, "premises": {"y": 11}, "target": "m"}, "answer": {"steps": [["h", "d + 9", "d + 22"], ["d", "l + 8", "l + 30"], ["l", "x + 8", "x + 38"], ["x", "f + 1", "f + 39"], ["f", "y + 11", "y + 50"], ["y", 11, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"y": 11}, "is_reverse": true}} | 17,323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 7; k = u + 19; n = g + 10; b = w + 9; f = y + 11; l = x + 8; h = d + 9; u = b + 12; m = h + 13; d = l + 8; w = y + 18; x = f + 1; y = 11. If y = 11, what is the resulting 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. Substitute h = d + 9 to m, which gives m = d + 22.\n2. Substitute d = l + 8 to m, which gives m = l + 30.\n3. Substitute l = x + 8 to m, which gives m = x + 38.\n4. Substitute x = f + 1 to m, which gives m = f + 39.\n5. Substitute f = y + 11 to m, which gives m = y + 50.\n6. Substitute y = 11 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 17323,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 7; k = u + 19; n = g + 10; b = w + 9; f = y + 11; l = x + 8; h = d + 9; u = b + 12; m = h + 13; d = l + 8; w = y + 18; x = f + 1; y = 11. If y = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 9", "o": "u + 9", "z": "o + 10", "w": "z + 2", "r": "w + 1", "a": "r + 11", "y": "n + 16", "c": "y + 20", "g": "c + 2", "q": "g + 12", "m": "q + 10", "v": "m + 18", "n": 10}, "premises": {"n": 10}, "target": "a"}, "answer": {"steps": [["r", "w + 1", "w + 12"], ["w", "z + 2", "z + 14"], ["z", "o + 10", "o + 24"], ["o", "u + 9", "u + 33"], ["u", "n + 9", "n + 42"], ["n", 10, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"n": 10}, "is_reverse": true}} | 17,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = u + 9; g = c + 2; y = n + 16; u = n + 9; q = g + 12; m = q + 10; w = z + 2; z = o + 10; r = w + 1; a = r + 11; c = y + 20; v = m + 18; n = 10. Given that n = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 1 to a, which gives a = w + 12.\n2. Substitute w = z + 2 to a, which gives a = z + 14.\n3. Substitute z = o + 10 to a, which gives a = o + 24.\n4. Substitute o = u + 9 to a, which gives a = u + 33.\n5. Substitute u = n + 9 to a, which gives a = n + 42.\n6. Substitute n = 10 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 17324,
"question": "Suppose a collection of variables is related by the following definitions: o = u + 9; g = c + 2; y = n + 16; u = n + 9; q = g + 12; m = q + 10; w = z + 2; z = o + 10; r = w + 1; a = r + 11; c = y + 20; v = m + 18; n = 10. Given that n = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 10", "v": "r + 11", "f": "v + 4", "q": "f + 19", "a": "q + 6", "t": "a + 6", "d": "p + 13", "l": "d + 10", "y": "l + 10", "h": "y + 20", "o": "h + 1", "g": "o + 16", "p": 13}, "premises": {"p": 13}, "target": "t"}, "answer": {"steps": [["a", "q + 6", "q + 12"], ["q", "f + 19", "f + 31"], ["f", "v + 4", "v + 35"], ["v", "r + 11", "r + 46"], ["r", "p + 10", "p + 56"], ["p", 13, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"p": 13}, "is_reverse": true}} | 17,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 10; l = d + 10; h = y + 20; f = v + 4; p = 13; v = r + 11; g = o + 16; q = f + 19; r = p + 10; t = a + 6; a = q + 6; d = p + 13; o = h + 1. If p = 13, 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 a = q + 6 to t, which gives t = q + 12.\n2. Substitute q = f + 19 to t, which gives t = f + 31.\n3. Substitute f = v + 4 to t, which gives t = v + 35.\n4. Substitute v = r + 11 to t, which gives t = r + 46.\n5. Substitute r = p + 10 to t, which gives t = p + 56.\n6. Substitute p = 13 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 17325,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 10; l = d + 10; h = y + 20; f = v + 4; p = 13; v = r + 11; g = o + 16; q = f + 19; r = p + 10; t = a + 6; a = q + 6; d = p + 13; o = h + 1. If p = 13, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 20", "o": "z + 11", "k": "o + 5", "h": "k + 8", "s": "h + 8", "x": "s + 17", "u": "e + 16", "t": "u + 17", "p": "t + 16", "g": "p + 16", "i": "g + 3", "r": "i + 19", "e": 14}, "premises": {"e": 14}, "target": "x"}, "answer": {"steps": [["s", "h + 8", "h + 25"], ["h", "k + 8", "k + 33"], ["k", "o + 5", "o + 38"], ["o", "z + 11", "z + 49"], ["z", "e + 20", "e + 69"], ["e", 14, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"e": 14}, "is_reverse": true}} | 17,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = i + 19; s = h + 8; e = 14; u = e + 16; z = e + 20; x = s + 17; h = k + 8; t = u + 17; k = o + 5; i = g + 3; p = t + 16; g = p + 16; o = z + 11. If e = 14, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 8 to x, which gives x = h + 25.\n2. Substitute h = k + 8 to x, which gives x = k + 33.\n3. Substitute k = o + 5 to x, which gives x = o + 38.\n4. Substitute o = z + 11 to x, which gives x = z + 49.\n5. Substitute z = e + 20 to x, which gives x = e + 69.\n6. Substitute e = 14 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 17326,
"question": "Consider a system of variables where each variable is defined as follows: r = i + 19; s = h + 8; e = 14; u = e + 16; z = e + 20; x = s + 17; h = k + 8; t = u + 17; k = o + 5; i = g + 3; p = t + 16; g = p + 16; o = z + 11. If e = 14, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 6", "g": "p + 6", "e": "g + 12", "n": "e + 20", "w": "n + 9", "f": "w + 9", "r": "c + 3", "h": "r + 13", "b": "h + 11", "m": "b + 2", "s": "m + 3", "l": "s + 15", "c": 2}, "premises": {"c": 2}, "target": "f"}, "answer": {"steps": [["w", "n + 9", "n + 18"], ["n", "e + 20", "e + 38"], ["e", "g + 12", "g + 50"], ["g", "p + 6", "p + 56"], ["p", "c + 6", "c + 62"], ["c", 2, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"c": 2}, "is_reverse": true}} | 17,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 9; b = h + 11; l = s + 15; w = n + 9; n = e + 20; r = c + 3; e = g + 12; h = r + 13; m = b + 2; p = c + 6; g = p + 6; s = m + 3; c = 2. If c = 2, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 9 to f, which gives f = n + 18.\n2. Substitute n = e + 20 to f, which gives f = e + 38.\n3. Substitute e = g + 12 to f, which gives f = g + 50.\n4. Substitute g = p + 6 to f, which gives f = p + 56.\n5. Substitute p = c + 6 to f, which gives f = c + 62.\n6. Substitute c = 2 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 17327,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 9; b = h + 11; l = s + 15; w = n + 9; n = e + 20; r = c + 3; e = g + 12; h = r + 13; m = b + 2; p = c + 6; g = p + 6; s = m + 3; c = 2. If c = 2, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 14", "f": "o + 8", "s": "f + 6", "u": "s + 8", "t": "u + 3", "h": "t + 6", "k": "l + 5", "w": "k + 20", "n": "w + 1", "b": "n + 11", "j": "b + 2", "e": "j + 19", "l": 14}, "premises": {"l": 14}, "target": "h"}, "answer": {"steps": [["t", "u + 3", "u + 9"], ["u", "s + 8", "s + 17"], ["s", "f + 6", "f + 23"], ["f", "o + 8", "o + 31"], ["o", "l + 14", "l + 45"], ["l", 14, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"l": 14}, "is_reverse": true}} | 17,328 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 20; u = s + 8; b = n + 11; n = w + 1; s = f + 6; f = o + 8; o = l + 14; k = l + 5; j = b + 2; e = j + 19; t = u + 3; h = t + 6; l = 14. Given that l = 14, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 3 to h, which gives h = u + 9.\n2. Substitute u = s + 8 to h, which gives h = s + 17.\n3. Substitute s = f + 6 to h, which gives h = f + 23.\n4. Substitute f = o + 8 to h, which gives h = o + 31.\n5. Substitute o = l + 14 to h, which gives h = l + 45.\n6. Substitute l = 14 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 17328,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 20; u = s + 8; b = n + 11; n = w + 1; s = f + 6; f = o + 8; o = l + 14; k = l + 5; j = b + 2; e = j + 19; t = u + 3; h = t + 6; l = 14. Given that l = 14, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 6", "u": "n + 18", "q": "u + 14", "f": "q + 13", "l": "f + 3", "e": "l + 15", "s": "a + 14", "c": "s + 16", "j": "c + 8", "h": "j + 14", "m": "h + 9", "r": "m + 2", "a": 14}, "premises": {"a": 14}, "target": "e"}, "answer": {"steps": [["l", "f + 3", "f + 18"], ["f", "q + 13", "q + 31"], ["q", "u + 14", "u + 45"], ["u", "n + 18", "n + 63"], ["n", "a + 6", "a + 69"], ["a", 14, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"a": 14}, "is_reverse": true}} | 17,329 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 9; s = a + 14; a = 14; q = u + 14; r = m + 2; u = n + 18; h = j + 14; j = c + 8; f = q + 13; e = l + 15; c = s + 16; n = a + 6; l = f + 3. If a = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 3 to e, which gives e = f + 18.\n2. Substitute f = q + 13 to e, which gives e = q + 31.\n3. Substitute q = u + 14 to e, which gives e = u + 45.\n4. Substitute u = n + 18 to e, which gives e = n + 63.\n5. Substitute n = a + 6 to e, which gives e = a + 69.\n6. Substitute a = 14 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 17329,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 9; s = a + 14; a = 14; q = u + 14; r = m + 2; u = n + 18; h = j + 14; j = c + 8; f = q + 13; e = l + 15; c = s + 16; n = a + 6; l = f + 3. If a = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 1", "k": "m + 9", "a": "k + 19", "g": "a + 2", "o": "g + 11", "i": "o + 13", "b": "c + 17", "h": "b + 5", "v": "h + 8", "p": "v + 1", "j": "p + 1", "y": "j + 18", "c": 5}, "premises": {"c": 5}, "target": "i"}, "answer": {"steps": [["o", "g + 11", "g + 24"], ["g", "a + 2", "a + 26"], ["a", "k + 19", "k + 45"], ["k", "m + 9", "m + 54"], ["m", "c + 1", "c + 55"], ["c", 5, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"c": 5}, "is_reverse": true}} | 17,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 8; g = a + 2; y = j + 18; a = k + 19; j = p + 1; o = g + 11; h = b + 5; m = c + 1; p = v + 1; i = o + 13; b = c + 17; c = 5; k = m + 9. If c = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 11 to i, which gives i = g + 24.\n2. Substitute g = a + 2 to i, which gives i = a + 26.\n3. Substitute a = k + 19 to i, which gives i = k + 45.\n4. Substitute k = m + 9 to i, which gives i = m + 54.\n5. Substitute m = c + 1 to i, which gives i = c + 55.\n6. Substitute c = 5 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 17330,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 8; g = a + 2; y = j + 18; a = k + 19; j = p + 1; o = g + 11; h = b + 5; m = c + 1; p = v + 1; i = o + 13; b = c + 17; c = 5; k = m + 9. If c = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 20", "h": "l + 8", "j": "h + 12", "q": "j + 5", "b": "q + 12", "k": "b + 6", "v": "u + 8", "f": "v + 5", "m": "f + 20", "n": "m + 1", "s": "n + 20", "p": "s + 4", "u": 18}, "premises": {"u": 18}, "target": "k"}, "answer": {"steps": [["b", "q + 12", "q + 18"], ["q", "j + 5", "j + 23"], ["j", "h + 12", "h + 35"], ["h", "l + 8", "l + 43"], ["l", "u + 20", "u + 63"], ["u", 18, "81"]], "target_var_name": "k", "target_value": 81, "value_dict": {"u": 18}, "is_reverse": true}} | 17,331 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 20; v = u + 8; s = n + 20; u = 18; j = h + 12; f = v + 5; m = f + 20; q = j + 5; n = m + 1; k = b + 6; p = s + 4; b = q + 12; h = l + 8. If u = 18, 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. Substitute b = q + 12 to k, which gives k = q + 18.\n2. Substitute q = j + 5 to k, which gives k = j + 23.\n3. Substitute j = h + 12 to k, which gives k = h + 35.\n4. Substitute h = l + 8 to k, which gives k = l + 43.\n5. Substitute l = u + 20 to k, which gives k = u + 63.\n6. Substitute u = 18 to k, which gives k = 81.\n\nThus, the final answer is k = \\boxed{81}.",
"index": 17331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 20; v = u + 8; s = n + 20; u = 18; j = h + 12; f = v + 5; m = f + 20; q = j + 5; n = m + 1; k = b + 6; p = s + 4; b = q + 12; h = l + 8. If u = 18, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"w": "p + 1", "j": "w + 6", "y": "j + 6", "x": "y + 14", "a": "x + 3", "s": "a + 6", "m": "p + 4", "c": "m + 18", "i": "c + 15", "d": "i + 19", "g": "d + 12", "t": "g + 17", "p": 5}, "premises": {"p": 5}, "target": "s"}, "answer": {"steps": [["a", "x + 3", "x + 9"], ["x", "y + 14", "y + 23"], ["y", "j + 6", "j + 29"], ["j", "w + 6", "w + 35"], ["w", "p + 1", "p + 36"], ["p", 5, "41"]], "target_var_name": "s", "target_value": 41, "value_dict": {"p": 5}, "is_reverse": true}} | 17,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 3; p = 5; i = c + 15; x = y + 14; t = g + 17; s = a + 6; y = j + 6; d = i + 19; m = p + 4; g = d + 12; c = m + 18; j = w + 6; w = p + 1. If p = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = x + 3 to s, which gives s = x + 9.\n2. Substitute x = y + 14 to s, which gives s = y + 23.\n3. Substitute y = j + 6 to s, which gives s = j + 29.\n4. Substitute j = w + 6 to s, which gives s = w + 35.\n5. Substitute w = p + 1 to s, which gives s = p + 36.\n6. Substitute p = 5 to s, which gives s = 41.\n\nThus, the final answer is s = \\boxed{41}.",
"index": 17332,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 3; p = 5; i = c + 15; x = y + 14; t = g + 17; s = a + 6; y = j + 6; d = i + 19; m = p + 4; g = d + 12; c = m + 18; j = w + 6; w = p + 1. If p = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 2", "p": "v + 9", "c": "p + 10", "g": "c + 17", "w": "g + 19", "l": "w + 17", "b": "o + 9", "x": "b + 7", "e": "x + 17", "q": "e + 10", "d": "q + 16", "u": "d + 4", "o": 1}, "premises": {"o": 1}, "target": "l"}, "answer": {"steps": [["w", "g + 19", "g + 36"], ["g", "c + 17", "c + 53"], ["c", "p + 10", "p + 63"], ["p", "v + 9", "v + 72"], ["v", "o + 2", "o + 74"], ["o", 1, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"o": 1}, "is_reverse": true}} | 17,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 1; u = d + 4; w = g + 19; b = o + 9; q = e + 10; g = c + 17; d = q + 16; c = p + 10; p = v + 9; e = x + 17; l = w + 17; v = o + 2; x = b + 7. Given that o = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 19 to l, which gives l = g + 36.\n2. Substitute g = c + 17 to l, which gives l = c + 53.\n3. Substitute c = p + 10 to l, which gives l = p + 63.\n4. Substitute p = v + 9 to l, which gives l = v + 72.\n5. Substitute v = o + 2 to l, which gives l = o + 74.\n6. Substitute o = 1 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 17333,
"question": "Suppose a collection of variables is related by the following definitions: o = 1; u = d + 4; w = g + 19; b = o + 9; q = e + 10; g = c + 17; d = q + 16; c = p + 10; p = v + 9; e = x + 17; l = w + 17; v = o + 2; x = b + 7. Given that o = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 15", "y": "k + 3", "a": "y + 8", "n": "a + 6", "q": "n + 4", "w": "q + 3", "e": "r + 14", "g": "e + 9", "x": "g + 14", "t": "x + 10", "l": "t + 17", "d": "l + 10", "r": 3}, "premises": {"r": 3}, "target": "w"}, "answer": {"steps": [["q", "n + 4", "n + 7"], ["n", "a + 6", "a + 13"], ["a", "y + 8", "y + 21"], ["y", "k + 3", "k + 24"], ["k", "r + 15", "r + 39"], ["r", 3, "42"]], "target_var_name": "w", "target_value": 42, "value_dict": {"r": 3}, "is_reverse": true}} | 17,334 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 15; q = n + 4; y = k + 3; r = 3; n = a + 6; g = e + 9; d = l + 10; x = g + 14; w = q + 3; e = r + 14; t = x + 10; a = y + 8; l = t + 17. If r = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 4 to w, which gives w = n + 7.\n2. Substitute n = a + 6 to w, which gives w = a + 13.\n3. Substitute a = y + 8 to w, which gives w = y + 21.\n4. Substitute y = k + 3 to w, which gives w = k + 24.\n5. Substitute k = r + 15 to w, which gives w = r + 39.\n6. Substitute r = 3 to w, which gives w = 42.\n\nThus, the final answer is w = \\boxed{42}.",
"index": 17334,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 15; q = n + 4; y = k + 3; r = 3; n = a + 6; g = e + 9; d = l + 10; x = g + 14; w = q + 3; e = r + 14; t = x + 10; a = y + 8; l = t + 17. If r = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 20", "g": "c + 16", "d": "g + 15", "n": "d + 5", "w": "n + 16", "p": "w + 10", "q": "i + 9", "e": "q + 14", "a": "e + 14", "z": "a + 14", "m": "z + 7", "v": "m + 8", "i": 18}, "premises": {"i": 18}, "target": "p"}, "answer": {"steps": [["w", "n + 16", "n + 26"], ["n", "d + 5", "d + 31"], ["d", "g + 15", "g + 46"], ["g", "c + 16", "c + 62"], ["c", "i + 20", "i + 82"], ["i", 18, "100"]], "target_var_name": "p", "target_value": 100, "value_dict": {"i": 18}, "is_reverse": true}} | 17,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 16; g = c + 16; e = q + 14; a = e + 14; c = i + 20; d = g + 15; v = m + 8; n = d + 5; i = 18; q = i + 9; z = a + 14; p = w + 10; m = z + 7. Given that i = 18, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 16 to p, which gives p = n + 26.\n2. Substitute n = d + 5 to p, which gives p = d + 31.\n3. Substitute d = g + 15 to p, which gives p = g + 46.\n4. Substitute g = c + 16 to p, which gives p = c + 62.\n5. Substitute c = i + 20 to p, which gives p = i + 82.\n6. Substitute i = 18 to p, which gives p = 100.\n\nThus, the final answer is p = \\boxed{100}.",
"index": 17335,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 16; g = c + 16; e = q + 14; a = e + 14; c = i + 20; d = g + 15; v = m + 8; n = d + 5; i = 18; q = i + 9; z = a + 14; p = w + 10; m = z + 7. Given that i = 18, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 15", "s": "y + 17", "m": "s + 1", "u": "m + 11", "n": "u + 4", "b": "n + 12", "x": "j + 8", "i": "x + 7", "e": "i + 18", "l": "e + 7", "d": "l + 17", "v": "d + 3", "j": 15}, "premises": {"j": 15}, "target": "b"}, "answer": {"steps": [["n", "u + 4", "u + 16"], ["u", "m + 11", "m + 27"], ["m", "s + 1", "s + 28"], ["s", "y + 17", "y + 45"], ["y", "j + 15", "j + 60"], ["j", 15, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"j": 15}, "is_reverse": true}} | 17,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 18; d = l + 17; s = y + 17; n = u + 4; y = j + 15; i = x + 7; l = e + 7; u = m + 11; b = n + 12; j = 15; x = j + 8; m = s + 1; v = d + 3. If j = 15, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 4 to b, which gives b = u + 16.\n2. Substitute u = m + 11 to b, which gives b = m + 27.\n3. Substitute m = s + 1 to b, which gives b = s + 28.\n4. Substitute s = y + 17 to b, which gives b = y + 45.\n5. Substitute y = j + 15 to b, which gives b = j + 60.\n6. Substitute j = 15 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 17336,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 18; d = l + 17; s = y + 17; n = u + 4; y = j + 15; i = x + 7; l = e + 7; u = m + 11; b = n + 12; j = 15; x = j + 8; m = s + 1; v = d + 3. If j = 15, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 2", "u": "v + 11", "s": "u + 5", "p": "s + 5", "n": "p + 16", "w": "n + 8", "t": "x + 3", "i": "t + 15", "e": "i + 15", "c": "e + 6", "j": "c + 19", "q": "j + 4", "x": 5}, "premises": {"x": 5}, "target": "w"}, "answer": {"steps": [["n", "p + 16", "p + 24"], ["p", "s + 5", "s + 29"], ["s", "u + 5", "u + 34"], ["u", "v + 11", "v + 45"], ["v", "x + 2", "x + 47"], ["x", 5, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"x": 5}, "is_reverse": true}} | 17,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 5; i = t + 15; j = c + 19; t = x + 3; q = j + 4; c = e + 6; w = n + 8; u = v + 11; v = x + 2; n = p + 16; x = 5; s = u + 5; e = i + 15. If x = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 16 to w, which gives w = p + 24.\n2. Substitute p = s + 5 to w, which gives w = s + 29.\n3. Substitute s = u + 5 to w, which gives w = u + 34.\n4. Substitute u = v + 11 to w, which gives w = v + 45.\n5. Substitute v = x + 2 to w, which gives w = x + 47.\n6. Substitute x = 5 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 17337,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 5; i = t + 15; j = c + 19; t = x + 3; q = j + 4; c = e + 6; w = n + 8; u = v + 11; v = x + 2; n = p + 16; x = 5; s = u + 5; e = i + 15. If x = 5, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 9", "n": "d + 9", "q": "n + 16", "w": "q + 19", "g": "w + 4", "e": "g + 8", "i": "j + 10", "v": "i + 7", "l": "v + 14", "y": "l + 10", "a": "y + 15", "u": "a + 17", "j": 19}, "premises": {"j": 19}, "target": "e"}, "answer": {"steps": [["g", "w + 4", "w + 12"], ["w", "q + 19", "q + 31"], ["q", "n + 16", "n + 47"], ["n", "d + 9", "d + 56"], ["d", "j + 9", "j + 65"], ["j", 19, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"j": 19}, "is_reverse": true}} | 17,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 14; y = l + 10; v = i + 7; q = n + 16; i = j + 10; u = a + 17; g = w + 4; e = g + 8; d = j + 9; n = d + 9; j = 19; a = y + 15; w = q + 19. If j = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 4 to e, which gives e = w + 12.\n2. Substitute w = q + 19 to e, which gives e = q + 31.\n3. Substitute q = n + 16 to e, which gives e = n + 47.\n4. Substitute n = d + 9 to e, which gives e = d + 56.\n5. Substitute d = j + 9 to e, which gives e = j + 65.\n6. Substitute j = 19 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 17338,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 14; y = l + 10; v = i + 7; q = n + 16; i = j + 10; u = a + 17; g = w + 4; e = g + 8; d = j + 9; n = d + 9; j = 19; a = y + 15; w = q + 19. If j = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 8", "j": "n + 18", "g": "j + 3", "p": "g + 18", "v": "p + 12", "a": "v + 9", "r": "z + 9", "w": "r + 11", "o": "w + 11", "q": "o + 16", "h": "q + 19", "u": "h + 13", "z": 17}, "premises": {"z": 17}, "target": "a"}, "answer": {"steps": [["v", "p + 12", "p + 21"], ["p", "g + 18", "g + 39"], ["g", "j + 3", "j + 42"], ["j", "n + 18", "n + 60"], ["n", "z + 8", "z + 68"], ["z", 17, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"z": 17}, "is_reverse": true}} | 17,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 8; v = p + 12; u = h + 13; a = v + 9; o = w + 11; w = r + 11; r = z + 9; g = j + 3; p = g + 18; q = o + 16; j = n + 18; h = q + 19; z = 17. If z = 17, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 12 to a, which gives a = p + 21.\n2. Substitute p = g + 18 to a, which gives a = g + 39.\n3. Substitute g = j + 3 to a, which gives a = j + 42.\n4. Substitute j = n + 18 to a, which gives a = n + 60.\n5. Substitute n = z + 8 to a, which gives a = z + 68.\n6. Substitute z = 17 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 17339,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 8; v = p + 12; u = h + 13; a = v + 9; o = w + 11; w = r + 11; r = z + 9; g = j + 3; p = g + 18; q = o + 16; j = n + 18; h = q + 19; z = 17. If z = 17, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 2", "b": "c + 11", "j": "b + 4", "i": "j + 15", "h": "i + 4", "t": "h + 4", "l": "x + 15", "w": "l + 13", "s": "w + 18", "q": "s + 2", "z": "q + 15", "a": "z + 6", "x": 15}, "premises": {"x": 15}, "target": "t"}, "answer": {"steps": [["h", "i + 4", "i + 8"], ["i", "j + 15", "j + 23"], ["j", "b + 4", "b + 27"], ["b", "c + 11", "c + 38"], ["c", "x + 2", "x + 40"], ["x", 15, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"x": 15}, "is_reverse": true}} | 17,340 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 13; z = q + 15; i = j + 15; q = s + 2; h = i + 4; b = c + 11; l = x + 15; t = h + 4; s = w + 18; c = x + 2; j = b + 4; a = z + 6; x = 15. If x = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 4 to t, which gives t = i + 8.\n2. Substitute i = j + 15 to t, which gives t = j + 23.\n3. Substitute j = b + 4 to t, which gives t = b + 27.\n4. Substitute b = c + 11 to t, which gives t = c + 38.\n5. Substitute c = x + 2 to t, which gives t = x + 40.\n6. Substitute x = 15 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 17340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = l + 13; z = q + 15; i = j + 15; q = s + 2; h = i + 4; b = c + 11; l = x + 15; t = h + 4; s = w + 18; c = x + 2; j = b + 4; a = z + 6; x = 15. If x = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 1", "a": "e + 2", "m": "a + 14", "t": "m + 1", "k": "t + 17", "o": "k + 12", "r": "w + 11", "h": "r + 6", "n": "h + 14", "l": "n + 3", "i": "l + 11", "p": "i + 10", "w": 13}, "premises": {"w": 13}, "target": "o"}, "answer": {"steps": [["k", "t + 17", "t + 29"], ["t", "m + 1", "m + 30"], ["m", "a + 14", "a + 44"], ["a", "e + 2", "e + 46"], ["e", "w + 1", "w + 47"], ["w", 13, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"w": 13}, "is_reverse": true}} | 17,341 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 3; o = k + 12; w = 13; p = i + 10; a = e + 2; k = t + 17; r = w + 11; n = h + 14; m = a + 14; i = l + 11; h = r + 6; t = m + 1; e = w + 1. If w = 13, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 17 to o, which gives o = t + 29.\n2. Substitute t = m + 1 to o, which gives o = m + 30.\n3. Substitute m = a + 14 to o, which gives o = a + 44.\n4. Substitute a = e + 2 to o, which gives o = e + 46.\n5. Substitute e = w + 1 to o, which gives o = w + 47.\n6. Substitute w = 13 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 17341,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 3; o = k + 12; w = 13; p = i + 10; a = e + 2; k = t + 17; r = w + 11; n = h + 14; m = a + 14; i = l + 11; h = r + 6; t = m + 1; e = w + 1. If w = 13, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 18", "s": "c + 9", "m": "s + 8", "l": "m + 4", "b": "l + 5", "a": "b + 18", "t": "r + 20", "q": "t + 12", "z": "q + 18", "w": "z + 10", "j": "w + 12", "v": "j + 10", "r": 5}, "premises": {"r": 5}, "target": "a"}, "answer": {"steps": [["b", "l + 5", "l + 23"], ["l", "m + 4", "m + 27"], ["m", "s + 8", "s + 35"], ["s", "c + 9", "c + 44"], ["c", "r + 18", "r + 62"], ["r", 5, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"r": 5}, "is_reverse": true}} | 17,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 12; a = b + 18; z = q + 18; m = s + 8; b = l + 5; v = j + 10; q = t + 12; t = r + 20; c = r + 18; r = 5; s = c + 9; w = z + 10; l = m + 4. Given that r = 5, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 5 to a, which gives a = l + 23.\n2. Substitute l = m + 4 to a, which gives a = m + 27.\n3. Substitute m = s + 8 to a, which gives a = s + 35.\n4. Substitute s = c + 9 to a, which gives a = c + 44.\n5. Substitute c = r + 18 to a, which gives a = r + 62.\n6. Substitute r = 5 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 17342,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 12; a = b + 18; z = q + 18; m = s + 8; b = l + 5; v = j + 10; q = t + 12; t = r + 20; c = r + 18; r = 5; s = c + 9; w = z + 10; l = m + 4. Given that r = 5, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 7", "k": "m + 9", "x": "k + 15", "h": "x + 9", "j": "h + 18", "q": "j + 16", "o": "f + 7", "n": "o + 16", "a": "n + 8", "r": "a + 14", "v": "r + 11", "p": "v + 19", "f": 20}, "premises": {"f": 20}, "target": "q"}, "answer": {"steps": [["j", "h + 18", "h + 34"], ["h", "x + 9", "x + 43"], ["x", "k + 15", "k + 58"], ["k", "m + 9", "m + 67"], ["m", "f + 7", "f + 74"], ["f", 20, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"f": 20}, "is_reverse": true}} | 17,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 14; f = 20; k = m + 9; a = n + 8; n = o + 16; m = f + 7; v = r + 11; q = j + 16; j = h + 18; o = f + 7; h = x + 9; p = v + 19; x = k + 15. Given that f = 20, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 18 to q, which gives q = h + 34.\n2. Substitute h = x + 9 to q, which gives q = x + 43.\n3. Substitute x = k + 15 to q, which gives q = k + 58.\n4. Substitute k = m + 9 to q, which gives q = m + 67.\n5. Substitute m = f + 7 to q, which gives q = f + 74.\n6. Substitute f = 20 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 17343,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 14; f = 20; k = m + 9; a = n + 8; n = o + 16; m = f + 7; v = r + 11; q = j + 16; j = h + 18; o = f + 7; h = x + 9; p = v + 19; x = k + 15. Given that f = 20, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 20", "x": "p + 10", "k": "x + 5", "d": "k + 19", "j": "d + 15", "i": "j + 9", "n": "o + 8", "m": "n + 15", "f": "m + 8", "t": "f + 12", "w": "t + 16", "s": "w + 8", "o": 1}, "premises": {"o": 1}, "target": "i"}, "answer": {"steps": [["j", "d + 15", "d + 24"], ["d", "k + 19", "k + 43"], ["k", "x + 5", "x + 48"], ["x", "p + 10", "p + 58"], ["p", "o + 20", "o + 78"], ["o", 1, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"o": 1}, "is_reverse": true}} | 17,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 9; o = 1; t = f + 12; n = o + 8; s = w + 8; x = p + 10; j = d + 15; p = o + 20; d = k + 19; w = t + 16; m = n + 15; k = x + 5; f = m + 8. Given that o = 1, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 15 to i, which gives i = d + 24.\n2. Substitute d = k + 19 to i, which gives i = k + 43.\n3. Substitute k = x + 5 to i, which gives i = x + 48.\n4. Substitute x = p + 10 to i, which gives i = p + 58.\n5. Substitute p = o + 20 to i, which gives i = o + 78.\n6. Substitute o = 1 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 17344,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 9; o = 1; t = f + 12; n = o + 8; s = w + 8; x = p + 10; j = d + 15; p = o + 20; d = k + 19; w = t + 16; m = n + 15; k = x + 5; f = m + 8. Given that o = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 10", "a": "v + 10", "d": "a + 1", "q": "d + 20", "u": "q + 5", "g": "u + 2", "j": "h + 11", "c": "j + 20", "i": "c + 14", "e": "i + 6", "m": "e + 16", "y": "m + 1", "h": 8}, "premises": {"h": 8}, "target": "g"}, "answer": {"steps": [["u", "q + 5", "q + 7"], ["q", "d + 20", "d + 27"], ["d", "a + 1", "a + 28"], ["a", "v + 10", "v + 38"], ["v", "h + 10", "h + 48"], ["h", 8, "56"]], "target_var_name": "g", "target_value": 56, "value_dict": {"h": 8}, "is_reverse": true}} | 17,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = q + 5; d = a + 1; g = u + 2; v = h + 10; c = j + 20; m = e + 16; q = d + 20; e = i + 6; j = h + 11; i = c + 14; y = m + 1; a = v + 10; h = 8. Given that h = 8, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 5 to g, which gives g = q + 7.\n2. Substitute q = d + 20 to g, which gives g = d + 27.\n3. Substitute d = a + 1 to g, which gives g = a + 28.\n4. Substitute a = v + 10 to g, which gives g = v + 38.\n5. Substitute v = h + 10 to g, which gives g = h + 48.\n6. Substitute h = 8 to g, which gives g = 56.\n\nThus, the final answer is g = \\boxed{56}.",
"index": 17345,
"question": "Suppose a collection of variables is related by the following definitions: u = q + 5; d = a + 1; g = u + 2; v = h + 10; c = j + 20; m = e + 16; q = d + 20; e = i + 6; j = h + 11; i = c + 14; y = m + 1; a = v + 10; h = 8. Given that h = 8, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 6", "f": "z + 12", "u": "f + 7", "x": "u + 15", "k": "x + 9", "p": "k + 18", "b": "h + 10", "s": "b + 12", "c": "s + 13", "a": "c + 3", "g": "a + 1", "v": "g + 13", "h": 10}, "premises": {"h": 10}, "target": "p"}, "answer": {"steps": [["k", "x + 9", "x + 27"], ["x", "u + 15", "u + 42"], ["u", "f + 7", "f + 49"], ["f", "z + 12", "z + 61"], ["z", "h + 6", "h + 67"], ["h", 10, "77"]], "target_var_name": "p", "target_value": 77, "value_dict": {"h": 10}, "is_reverse": true}} | 17,346 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 12; b = h + 10; p = k + 18; x = u + 15; c = s + 13; g = a + 1; v = g + 13; k = x + 9; u = f + 7; h = 10; f = z + 12; a = c + 3; z = h + 6. If h = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 9 to p, which gives p = x + 27.\n2. Substitute x = u + 15 to p, which gives p = u + 42.\n3. Substitute u = f + 7 to p, which gives p = f + 49.\n4. Substitute f = z + 12 to p, which gives p = z + 61.\n5. Substitute z = h + 6 to p, which gives p = h + 67.\n6. Substitute h = 10 to p, which gives p = 77.\n\nThus, the final answer is p = \\boxed{77}.",
"index": 17346,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 12; b = h + 10; p = k + 18; x = u + 15; c = s + 13; g = a + 1; v = g + 13; k = x + 9; u = f + 7; h = 10; f = z + 12; a = c + 3; z = h + 6. If h = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 1", "v": "p + 10", "q": "v + 1", "k": "q + 12", "f": "k + 15", "d": "f + 7", "n": "i + 6", "z": "n + 5", "w": "z + 17", "y": "w + 11", "e": "y + 1", "x": "e + 10", "i": 7}, "premises": {"i": 7}, "target": "d"}, "answer": {"steps": [["f", "k + 15", "k + 22"], ["k", "q + 12", "q + 34"], ["q", "v + 1", "v + 35"], ["v", "p + 10", "p + 45"], ["p", "i + 1", "i + 46"], ["i", 7, "53"]], "target_var_name": "d", "target_value": 53, "value_dict": {"i": 7}, "is_reverse": true}} | 17,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 10; x = e + 10; f = k + 15; n = i + 6; p = i + 1; e = y + 1; z = n + 5; d = f + 7; q = v + 1; k = q + 12; i = 7; y = w + 11; w = z + 17. If i = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 15 to d, which gives d = k + 22.\n2. Substitute k = q + 12 to d, which gives d = q + 34.\n3. Substitute q = v + 1 to d, which gives d = v + 35.\n4. Substitute v = p + 10 to d, which gives d = p + 45.\n5. Substitute p = i + 1 to d, which gives d = i + 46.\n6. Substitute i = 7 to d, which gives d = 53.\n\nThus, the final answer is d = \\boxed{53}.",
"index": 17347,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 10; x = e + 10; f = k + 15; n = i + 6; p = i + 1; e = y + 1; z = n + 5; d = f + 7; q = v + 1; k = q + 12; i = 7; y = w + 11; w = z + 17. If i = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 4", "e": "j + 11", "g": "e + 11", "h": "g + 10", "l": "h + 19", "m": "l + 17", "d": "f + 7", "t": "d + 20", "q": "t + 2", "r": "q + 3", "x": "r + 11", "s": "x + 3", "f": 20}, "premises": {"f": 20}, "target": "m"}, "answer": {"steps": [["l", "h + 19", "h + 36"], ["h", "g + 10", "g + 46"], ["g", "e + 11", "e + 57"], ["e", "j + 11", "j + 68"], ["j", "f + 4", "f + 72"], ["f", 20, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"f": 20}, "is_reverse": true}} | 17,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 11; s = x + 3; f = 20; g = e + 11; l = h + 19; d = f + 7; x = r + 11; h = g + 10; j = f + 4; r = q + 3; q = t + 2; t = d + 20; m = l + 17. If f = 20, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 19 to m, which gives m = h + 36.\n2. Substitute h = g + 10 to m, which gives m = g + 46.\n3. Substitute g = e + 11 to m, which gives m = e + 57.\n4. Substitute e = j + 11 to m, which gives m = j + 68.\n5. Substitute j = f + 4 to m, which gives m = f + 72.\n6. Substitute f = 20 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 17348,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 11; s = x + 3; f = 20; g = e + 11; l = h + 19; d = f + 7; x = r + 11; h = g + 10; j = f + 4; r = q + 3; q = t + 2; t = d + 20; m = l + 17. If f = 20, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 18", "t": "a + 1", "m": "t + 8", "o": "m + 18", "g": "o + 20", "j": "g + 10", "w": "r + 13", "h": "w + 11", "x": "h + 14", "p": "x + 8", "u": "p + 15", "l": "u + 16", "r": 2}, "premises": {"r": 2}, "target": "j"}, "answer": {"steps": [["g", "o + 20", "o + 30"], ["o", "m + 18", "m + 48"], ["m", "t + 8", "t + 56"], ["t", "a + 1", "a + 57"], ["a", "r + 18", "r + 75"], ["r", 2, "77"]], "target_var_name": "j", "target_value": 77, "value_dict": {"r": 2}, "is_reverse": true}} | 17,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 16; h = w + 11; m = t + 8; u = p + 15; o = m + 18; j = g + 10; a = r + 18; r = 2; x = h + 14; w = r + 13; g = o + 20; p = x + 8; t = a + 1. If r = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = o + 20 to j, which gives j = o + 30.\n2. Substitute o = m + 18 to j, which gives j = m + 48.\n3. Substitute m = t + 8 to j, which gives j = t + 56.\n4. Substitute t = a + 1 to j, which gives j = a + 57.\n5. Substitute a = r + 18 to j, which gives j = r + 75.\n6. Substitute r = 2 to j, which gives j = 77.\n\nThus, the final answer is j = \\boxed{77}.",
"index": 17349,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 16; h = w + 11; m = t + 8; u = p + 15; o = m + 18; j = g + 10; a = r + 18; r = 2; x = h + 14; w = r + 13; g = o + 20; p = x + 8; t = a + 1. If r = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 2", "g": "l + 10", "r": "g + 13", "e": "r + 16", "a": "e + 10", "x": "a + 12", "p": "k + 11", "i": "p + 19", "z": "i + 4", "q": "z + 16", "b": "q + 2", "o": "b + 6", "k": 6}, "premises": {"k": 6}, "target": "x"}, "answer": {"steps": [["a", "e + 10", "e + 22"], ["e", "r + 16", "r + 38"], ["r", "g + 13", "g + 51"], ["g", "l + 10", "l + 61"], ["l", "k + 2", "k + 63"], ["k", 6, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"k": 6}, "is_reverse": true}} | 17,350 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = l + 10; e = r + 16; a = e + 10; q = z + 16; i = p + 19; l = k + 2; k = 6; x = a + 12; z = i + 4; p = k + 11; r = g + 13; b = q + 2; o = b + 6. If k = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 10 to x, which gives x = e + 22.\n2. Substitute e = r + 16 to x, which gives x = r + 38.\n3. Substitute r = g + 13 to x, which gives x = g + 51.\n4. Substitute g = l + 10 to x, which gives x = l + 61.\n5. Substitute l = k + 2 to x, which gives x = k + 63.\n6. Substitute k = 6 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 17350,
"question": "Consider a system of variables where each variable is defined as follows: g = l + 10; e = r + 16; a = e + 10; q = z + 16; i = p + 19; l = k + 2; k = 6; x = a + 12; z = i + 4; p = k + 11; r = g + 13; b = q + 2; o = b + 6. If k = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 19", "v": "b + 13", "j": "v + 15", "f": "j + 1", "r": "f + 5", "a": "r + 12", "x": "l + 13", "k": "x + 15", "t": "k + 4", "g": "t + 9", "o": "g + 12", "z": "o + 16", "l": 17}, "premises": {"l": 17}, "target": "a"}, "answer": {"steps": [["r", "f + 5", "f + 17"], ["f", "j + 1", "j + 18"], ["j", "v + 15", "v + 33"], ["v", "b + 13", "b + 46"], ["b", "l + 19", "l + 65"], ["l", 17, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"l": 17}, "is_reverse": true}} | 17,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = b + 13; k = x + 15; o = g + 12; x = l + 13; t = k + 4; g = t + 9; a = r + 12; j = v + 15; f = j + 1; r = f + 5; b = l + 19; z = o + 16; l = 17. If l = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 5 to a, which gives a = f + 17.\n2. Substitute f = j + 1 to a, which gives a = j + 18.\n3. Substitute j = v + 15 to a, which gives a = v + 33.\n4. Substitute v = b + 13 to a, which gives a = b + 46.\n5. Substitute b = l + 19 to a, which gives a = l + 65.\n6. Substitute l = 17 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 17351,
"question": "Consider a system of variables where each variable is defined as follows: v = b + 13; k = x + 15; o = g + 12; x = l + 13; t = k + 4; g = t + 9; a = r + 12; j = v + 15; f = j + 1; r = f + 5; b = l + 19; z = o + 16; l = 17. If l = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 3", "u": "h + 11", "i": "u + 2", "f": "i + 18", "v": "f + 17", "s": "v + 4", "r": "m + 2", "c": "r + 1", "x": "c + 7", "y": "x + 6", "g": "y + 19", "q": "g + 19", "m": 7}, "premises": {"m": 7}, "target": "s"}, "answer": {"steps": [["v", "f + 17", "f + 21"], ["f", "i + 18", "i + 39"], ["i", "u + 2", "u + 41"], ["u", "h + 11", "h + 52"], ["h", "m + 3", "m + 55"], ["m", 7, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"m": 7}, "is_reverse": true}} | 17,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 7; c = r + 1; u = h + 11; x = c + 7; q = g + 19; i = u + 2; h = m + 3; r = m + 2; f = i + 18; s = v + 4; g = y + 19; v = f + 17; y = x + 6. Given that m = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 17 to s, which gives s = f + 21.\n2. Substitute f = i + 18 to s, which gives s = i + 39.\n3. Substitute i = u + 2 to s, which gives s = u + 41.\n4. Substitute u = h + 11 to s, which gives s = h + 52.\n5. Substitute h = m + 3 to s, which gives s = m + 55.\n6. Substitute m = 7 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 17352,
"question": "Suppose a collection of variables is related by the following definitions: m = 7; c = r + 1; u = h + 11; x = c + 7; q = g + 19; i = u + 2; h = m + 3; r = m + 2; f = i + 18; s = v + 4; g = y + 19; v = f + 17; y = x + 6. Given that m = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 6", "n": "g + 2", "t": "n + 19", "z": "t + 14", "i": "z + 6", "v": "i + 2", "q": "h + 16", "d": "q + 2", "b": "d + 14", "o": "b + 6", "l": "o + 3", "f": "l + 4", "h": 16}, "premises": {"h": 16}, "target": "v"}, "answer": {"steps": [["i", "z + 6", "z + 8"], ["z", "t + 14", "t + 22"], ["t", "n + 19", "n + 41"], ["n", "g + 2", "g + 43"], ["g", "h + 6", "h + 49"], ["h", 16, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"h": 16}, "is_reverse": true}} | 17,353 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = z + 6; h = 16; f = l + 4; l = o + 3; v = i + 2; g = h + 6; z = t + 14; d = q + 2; b = d + 14; n = g + 2; q = h + 16; t = n + 19; o = b + 6. Given that h = 16, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 6 to v, which gives v = z + 8.\n2. Substitute z = t + 14 to v, which gives v = t + 22.\n3. Substitute t = n + 19 to v, which gives v = n + 41.\n4. Substitute n = g + 2 to v, which gives v = g + 43.\n5. Substitute g = h + 6 to v, which gives v = h + 49.\n6. Substitute h = 16 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 17353,
"question": "Suppose a collection of variables is related by the following definitions: i = z + 6; h = 16; f = l + 4; l = o + 3; v = i + 2; g = h + 6; z = t + 14; d = q + 2; b = d + 14; n = g + 2; q = h + 16; t = n + 19; o = b + 6. Given that h = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 2", "d": "y + 8", "b": "d + 9", "q": "b + 4", "h": "q + 14", "m": "h + 11", "a": "s + 7", "u": "a + 10", "g": "u + 7", "c": "g + 17", "z": "c + 18", "p": "z + 19", "s": 19}, "premises": {"s": 19}, "target": "m"}, "answer": {"steps": [["h", "q + 14", "q + 25"], ["q", "b + 4", "b + 29"], ["b", "d + 9", "d + 38"], ["d", "y + 8", "y + 46"], ["y", "s + 2", "s + 48"], ["s", 19, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"s": 19}, "is_reverse": true}} | 17,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 11; c = g + 17; b = d + 9; p = z + 19; q = b + 4; y = s + 2; h = q + 14; d = y + 8; u = a + 10; s = 19; a = s + 7; g = u + 7; z = c + 18. If s = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 14 to m, which gives m = q + 25.\n2. Substitute q = b + 4 to m, which gives m = b + 29.\n3. Substitute b = d + 9 to m, which gives m = d + 38.\n4. Substitute d = y + 8 to m, which gives m = y + 46.\n5. Substitute y = s + 2 to m, which gives m = s + 48.\n6. Substitute s = 19 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 17354,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 11; c = g + 17; b = d + 9; p = z + 19; q = b + 4; y = s + 2; h = q + 14; d = y + 8; u = a + 10; s = 19; a = s + 7; g = u + 7; z = c + 18. If s = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 5", "c": "o + 6", "s": "c + 7", "b": "s + 18", "t": "b + 12", "a": "t + 5", "w": "g + 18", "x": "w + 15", "f": "x + 16", "z": "f + 1", "p": "z + 11", "r": "p + 10", "g": 9}, "premises": {"g": 9}, "target": "a"}, "answer": {"steps": [["t", "b + 12", "b + 17"], ["b", "s + 18", "s + 35"], ["s", "c + 7", "c + 42"], ["c", "o + 6", "o + 48"], ["o", "g + 5", "g + 53"], ["g", 9, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"g": 9}, "is_reverse": true}} | 17,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = s + 18; p = z + 11; x = w + 15; c = o + 6; w = g + 18; g = 9; r = p + 10; a = t + 5; t = b + 12; f = x + 16; o = g + 5; s = c + 7; z = f + 1. If g = 9, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 12 to a, which gives a = b + 17.\n2. Substitute b = s + 18 to a, which gives a = s + 35.\n3. Substitute s = c + 7 to a, which gives a = c + 42.\n4. Substitute c = o + 6 to a, which gives a = o + 48.\n5. Substitute o = g + 5 to a, which gives a = g + 53.\n6. Substitute g = 9 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 17355,
"question": "Consider a system of variables where each variable is defined as follows: b = s + 18; p = z + 11; x = w + 15; c = o + 6; w = g + 18; g = 9; r = p + 10; a = t + 5; t = b + 12; f = x + 16; o = g + 5; s = c + 7; z = f + 1. If g = 9, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 18", "q": "p + 9", "b": "q + 20", "u": "b + 4", "s": "u + 11", "x": "s + 5", "y": "c + 4", "o": "y + 2", "w": "o + 7", "v": "w + 12", "d": "v + 12", "z": "d + 12", "c": 16}, "premises": {"c": 16}, "target": "x"}, "answer": {"steps": [["s", "u + 11", "u + 16"], ["u", "b + 4", "b + 20"], ["b", "q + 20", "q + 40"], ["q", "p + 9", "p + 49"], ["p", "c + 18", "c + 67"], ["c", 16, "83"]], "target_var_name": "x", "target_value": 83, "value_dict": {"c": 16}, "is_reverse": true}} | 17,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 12; c = 16; y = c + 4; w = o + 7; q = p + 9; b = q + 20; o = y + 2; x = s + 5; u = b + 4; z = d + 12; v = w + 12; s = u + 11; p = c + 18. If c = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 11 to x, which gives x = u + 16.\n2. Substitute u = b + 4 to x, which gives x = b + 20.\n3. Substitute b = q + 20 to x, which gives x = q + 40.\n4. Substitute q = p + 9 to x, which gives x = p + 49.\n5. Substitute p = c + 18 to x, which gives x = c + 67.\n6. Substitute c = 16 to x, which gives x = 83.\n\nThus, the final answer is x = \\boxed{83}.",
"index": 17356,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 12; c = 16; y = c + 4; w = o + 7; q = p + 9; b = q + 20; o = y + 2; x = s + 5; u = b + 4; z = d + 12; v = w + 12; s = u + 11; p = c + 18. If c = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 20", "n": "w + 2", "l": "n + 8", "a": "l + 1", "d": "a + 13", "x": "d + 19", "k": "h + 7", "r": "k + 12", "i": "r + 6", "v": "i + 10", "b": "v + 4", "t": "b + 13", "h": 11}, "premises": {"h": 11}, "target": "x"}, "answer": {"steps": [["d", "a + 13", "a + 32"], ["a", "l + 1", "l + 33"], ["l", "n + 8", "n + 41"], ["n", "w + 2", "w + 43"], ["w", "h + 20", "h + 63"], ["h", 11, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"h": 11}, "is_reverse": true}} | 17,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 4; i = r + 6; h = 11; w = h + 20; l = n + 8; a = l + 1; v = i + 10; k = h + 7; n = w + 2; t = b + 13; x = d + 19; r = k + 12; d = a + 13. If h = 11, determine 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. Substitute d = a + 13 to x, which gives x = a + 32.\n2. Substitute a = l + 1 to x, which gives x = l + 33.\n3. Substitute l = n + 8 to x, which gives x = n + 41.\n4. Substitute n = w + 2 to x, which gives x = w + 43.\n5. Substitute w = h + 20 to x, which gives x = h + 63.\n6. Substitute h = 11 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 17357,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 4; i = r + 6; h = 11; w = h + 20; l = n + 8; a = l + 1; v = i + 10; k = h + 7; n = w + 2; t = b + 13; x = d + 19; r = k + 12; d = a + 13. If h = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 18", "q": "r + 8", "b": "q + 20", "s": "b + 4", "c": "s + 1", "w": "c + 18", "n": "k + 16", "j": "n + 3", "y": "j + 1", "d": "y + 20", "o": "d + 9", "v": "o + 16", "k": 7}, "premises": {"k": 7}, "target": "w"}, "answer": {"steps": [["c", "s + 1", "s + 19"], ["s", "b + 4", "b + 23"], ["b", "q + 20", "q + 43"], ["q", "r + 8", "r + 51"], ["r", "k + 18", "k + 69"], ["k", 7, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"k": 7}, "is_reverse": true}} | 17,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = s + 1; v = o + 16; q = r + 8; k = 7; n = k + 16; j = n + 3; r = k + 18; s = b + 4; w = c + 18; o = d + 9; y = j + 1; d = y + 20; b = q + 20. If k = 7, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 1 to w, which gives w = s + 19.\n2. Substitute s = b + 4 to w, which gives w = b + 23.\n3. Substitute b = q + 20 to w, which gives w = q + 43.\n4. Substitute q = r + 8 to w, which gives w = r + 51.\n5. Substitute r = k + 18 to w, which gives w = k + 69.\n6. Substitute k = 7 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 17358,
"question": "Consider a system of variables where each variable is defined as follows: c = s + 1; v = o + 16; q = r + 8; k = 7; n = k + 16; j = n + 3; r = k + 18; s = b + 4; w = c + 18; o = d + 9; y = j + 1; d = y + 20; b = q + 20. If k = 7, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 13", "s": "w + 7", "l": "s + 4", "r": "l + 19", "u": "r + 15", "e": "u + 4", "f": "o + 18", "y": "f + 9", "g": "y + 12", "q": "g + 19", "p": "q + 3", "c": "p + 4", "o": 2}, "premises": {"o": 2}, "target": "e"}, "answer": {"steps": [["u", "r + 15", "r + 19"], ["r", "l + 19", "l + 38"], ["l", "s + 4", "s + 42"], ["s", "w + 7", "w + 49"], ["w", "o + 13", "o + 62"], ["o", 2, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"o": 2}, "is_reverse": true}} | 17,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 7; f = o + 18; u = r + 15; c = p + 4; e = u + 4; l = s + 4; y = f + 9; q = g + 19; o = 2; g = y + 12; w = o + 13; p = q + 3; r = l + 19. If o = 2, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 15 to e, which gives e = r + 19.\n2. Substitute r = l + 19 to e, which gives e = l + 38.\n3. Substitute l = s + 4 to e, which gives e = s + 42.\n4. Substitute s = w + 7 to e, which gives e = w + 49.\n5. Substitute w = o + 13 to e, which gives e = o + 62.\n6. Substitute o = 2 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 17359,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 7; f = o + 18; u = r + 15; c = p + 4; e = u + 4; l = s + 4; y = f + 9; q = g + 19; o = 2; g = y + 12; w = o + 13; p = q + 3; r = l + 19. If o = 2, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 1", "c": "e + 3", "q": "c + 18", "i": "q + 5", "y": "i + 1", "d": "y + 4", "t": "l + 16", "k": "t + 19", "b": "k + 13", "m": "b + 15", "o": "m + 4", "s": "o + 4", "l": 17}, "premises": {"l": 17}, "target": "d"}, "answer": {"steps": [["y", "i + 1", "i + 5"], ["i", "q + 5", "q + 10"], ["q", "c + 18", "c + 28"], ["c", "e + 3", "e + 31"], ["e", "l + 1", "l + 32"], ["l", 17, "49"]], "target_var_name": "d", "target_value": 49, "value_dict": {"l": 17}, "is_reverse": true}} | 17,360 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = k + 13; e = l + 1; s = o + 4; m = b + 15; y = i + 1; i = q + 5; t = l + 16; d = y + 4; l = 17; c = e + 3; q = c + 18; k = t + 19; o = m + 4. Given that l = 17, 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 y = i + 1 to d, which gives d = i + 5.\n2. Substitute i = q + 5 to d, which gives d = q + 10.\n3. Substitute q = c + 18 to d, which gives d = c + 28.\n4. Substitute c = e + 3 to d, which gives d = e + 31.\n5. Substitute e = l + 1 to d, which gives d = l + 32.\n6. Substitute l = 17 to d, which gives d = 49.\n\nThus, the final answer is d = \\boxed{49}.",
"index": 17360,
"question": "Suppose a collection of variables is related by the following definitions: b = k + 13; e = l + 1; s = o + 4; m = b + 15; y = i + 1; i = q + 5; t = l + 16; d = y + 4; l = 17; c = e + 3; q = c + 18; k = t + 19; o = m + 4. Given that l = 17, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 1", "i": "e + 17", "t": "i + 5", "w": "t + 3", "x": "w + 20", "m": "x + 10", "s": "d + 15", "h": "s + 15", "l": "h + 1", "y": "l + 14", "f": "y + 4", "v": "f + 18", "d": 14}, "premises": {"d": 14}, "target": "m"}, "answer": {"steps": [["x", "w + 20", "w + 30"], ["w", "t + 3", "t + 33"], ["t", "i + 5", "i + 38"], ["i", "e + 17", "e + 55"], ["e", "d + 1", "d + 56"], ["d", 14, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"d": 14}, "is_reverse": true}} | 17,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 15; l = h + 1; f = y + 4; e = d + 1; v = f + 18; i = e + 17; h = s + 15; x = w + 20; d = 14; w = t + 3; t = i + 5; y = l + 14; m = x + 10. Given that d = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 20 to m, which gives m = w + 30.\n2. Substitute w = t + 3 to m, which gives m = t + 33.\n3. Substitute t = i + 5 to m, which gives m = i + 38.\n4. Substitute i = e + 17 to m, which gives m = e + 55.\n5. Substitute e = d + 1 to m, which gives m = d + 56.\n6. Substitute d = 14 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 17361,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 15; l = h + 1; f = y + 4; e = d + 1; v = f + 18; i = e + 17; h = s + 15; x = w + 20; d = 14; w = t + 3; t = i + 5; y = l + 14; m = x + 10. Given that d = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 11", "u": "r + 14", "j": "u + 2", "q": "j + 19", "w": "q + 1", "d": "w + 17", "a": "h + 20", "m": "a + 9", "z": "m + 6", "c": "z + 15", "i": "c + 17", "l": "i + 16", "h": 6}, "premises": {"h": 6}, "target": "d"}, "answer": {"steps": [["w", "q + 1", "q + 18"], ["q", "j + 19", "j + 37"], ["j", "u + 2", "u + 39"], ["u", "r + 14", "r + 53"], ["r", "h + 11", "h + 64"], ["h", 6, "70"]], "target_var_name": "d", "target_value": 70, "value_dict": {"h": 6}, "is_reverse": true}} | 17,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 14; m = a + 9; j = u + 2; h = 6; q = j + 19; a = h + 20; l = i + 16; r = h + 11; d = w + 17; i = c + 17; w = q + 1; z = m + 6; c = z + 15. If h = 6, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 1 to d, which gives d = q + 18.\n2. Substitute q = j + 19 to d, which gives d = j + 37.\n3. Substitute j = u + 2 to d, which gives d = u + 39.\n4. Substitute u = r + 14 to d, which gives d = r + 53.\n5. Substitute r = h + 11 to d, which gives d = h + 64.\n6. Substitute h = 6 to d, which gives d = 70.\n\nThus, the final answer is d = \\boxed{70}.",
"index": 17362,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 14; m = a + 9; j = u + 2; h = 6; q = j + 19; a = h + 20; l = i + 16; r = h + 11; d = w + 17; i = c + 17; w = q + 1; z = m + 6; c = z + 15. If h = 6, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 3", "d": "c + 8", "f": "d + 7", "b": "f + 8", "z": "b + 1", "e": "z + 4", "h": "a + 1", "r": "h + 3", "y": "r + 17", "v": "y + 6", "k": "v + 17", "n": "k + 11", "a": 12}, "premises": {"a": 12}, "target": "e"}, "answer": {"steps": [["z", "b + 1", "b + 5"], ["b", "f + 8", "f + 13"], ["f", "d + 7", "d + 20"], ["d", "c + 8", "c + 28"], ["c", "a + 3", "a + 31"], ["a", 12, "43"]], "target_var_name": "e", "target_value": 43, "value_dict": {"a": 12}, "is_reverse": true}} | 17,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 7; k = v + 17; c = a + 3; d = c + 8; e = z + 4; v = y + 6; r = h + 3; y = r + 17; b = f + 8; z = b + 1; n = k + 11; h = a + 1; a = 12. If a = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 1 to e, which gives e = b + 5.\n2. Substitute b = f + 8 to e, which gives e = f + 13.\n3. Substitute f = d + 7 to e, which gives e = d + 20.\n4. Substitute d = c + 8 to e, which gives e = c + 28.\n5. Substitute c = a + 3 to e, which gives e = a + 31.\n6. Substitute a = 12 to e, which gives e = 43.\n\nThus, the final answer is e = \\boxed{43}.",
"index": 17363,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = d + 7; k = v + 17; c = a + 3; d = c + 8; e = z + 4; v = y + 6; r = h + 3; y = r + 17; b = f + 8; z = b + 1; n = k + 11; h = a + 1; a = 12. If a = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 12", "l": "y + 11", "c": "l + 1", "v": "c + 7", "s": "v + 10", "u": "s + 8", "i": "p + 4", "j": "i + 2", "g": "j + 4", "f": "g + 1", "o": "f + 14", "z": "o + 2", "p": 5}, "premises": {"p": 5}, "target": "u"}, "answer": {"steps": [["s", "v + 10", "v + 18"], ["v", "c + 7", "c + 25"], ["c", "l + 1", "l + 26"], ["l", "y + 11", "y + 37"], ["y", "p + 12", "p + 49"], ["p", 5, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"p": 5}, "is_reverse": true}} | 17,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 2; p = 5; i = p + 4; u = s + 8; s = v + 10; o = f + 14; c = l + 1; l = y + 11; v = c + 7; z = o + 2; y = p + 12; g = j + 4; f = g + 1. Given that p = 5, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 10 to u, which gives u = v + 18.\n2. Substitute v = c + 7 to u, which gives u = c + 25.\n3. Substitute c = l + 1 to u, which gives u = l + 26.\n4. Substitute l = y + 11 to u, which gives u = y + 37.\n5. Substitute y = p + 12 to u, which gives u = p + 49.\n6. Substitute p = 5 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 17364,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 2; p = 5; i = p + 4; u = s + 8; s = v + 10; o = f + 14; c = l + 1; l = y + 11; v = c + 7; z = o + 2; y = p + 12; g = j + 4; f = g + 1. Given that p = 5, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "p + 2", "a": "m + 7", "l": "a + 1", "k": "l + 8", "d": "k + 18", "s": "d + 10", "h": "p + 4", "n": "h + 14", "u": "n + 10", "y": "u + 12", "v": "y + 12", "r": "v + 15", "p": 11}, "premises": {"p": 11}, "target": "s"}, "answer": {"steps": [["d", "k + 18", "k + 28"], ["k", "l + 8", "l + 36"], ["l", "a + 1", "a + 37"], ["a", "m + 7", "m + 44"], ["m", "p + 2", "p + 46"], ["p", 11, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"p": 11}, "is_reverse": true}} | 17,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = u + 12; l = a + 1; v = y + 12; d = k + 18; u = n + 10; p = 11; r = v + 15; h = p + 4; a = m + 7; n = h + 14; s = d + 10; k = l + 8; m = p + 2. If p = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 18 to s, which gives s = k + 28.\n2. Substitute k = l + 8 to s, which gives s = l + 36.\n3. Substitute l = a + 1 to s, which gives s = a + 37.\n4. Substitute a = m + 7 to s, which gives s = m + 44.\n5. Substitute m = p + 2 to s, which gives s = p + 46.\n6. Substitute p = 11 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 17365,
"question": "Consider a system of variables where each variable is defined as follows: y = u + 12; l = a + 1; v = y + 12; d = k + 18; u = n + 10; p = 11; r = v + 15; h = p + 4; a = m + 7; n = h + 14; s = d + 10; k = l + 8; m = p + 2. If p = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 2", "x": "b + 6", "d": "x + 9", "y": "d + 13", "q": "y + 12", "s": "q + 8", "g": "v + 8", "o": "g + 7", "u": "o + 13", "f": "u + 15", "e": "f + 12", "i": "e + 14", "v": 18}, "premises": {"v": 18}, "target": "s"}, "answer": {"steps": [["q", "y + 12", "y + 20"], ["y", "d + 13", "d + 33"], ["d", "x + 9", "x + 42"], ["x", "b + 6", "b + 48"], ["b", "v + 2", "v + 50"], ["v", 18, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"v": 18}, "is_reverse": true}} | 17,366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 6; s = q + 8; o = g + 7; q = y + 12; e = f + 12; d = x + 9; i = e + 14; g = v + 8; y = d + 13; u = o + 13; f = u + 15; v = 18; b = v + 2. If v = 18, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 12 to s, which gives s = y + 20.\n2. Substitute y = d + 13 to s, which gives s = d + 33.\n3. Substitute d = x + 9 to s, which gives s = x + 42.\n4. Substitute x = b + 6 to s, which gives s = b + 48.\n5. Substitute b = v + 2 to s, which gives s = v + 50.\n6. Substitute v = 18 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 17366,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 6; s = q + 8; o = g + 7; q = y + 12; e = f + 12; d = x + 9; i = e + 14; g = v + 8; y = d + 13; u = o + 13; f = u + 15; v = 18; b = v + 2. If v = 18, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 17", "h": "p + 6", "a": "h + 10", "n": "a + 10", "m": "n + 11", "l": "m + 4", "v": "r + 18", "z": "v + 18", "k": "z + 8", "s": "k + 15", "o": "s + 1", "q": "o + 15", "r": 20}, "premises": {"r": 20}, "target": "l"}, "answer": {"steps": [["m", "n + 11", "n + 15"], ["n", "a + 10", "a + 25"], ["a", "h + 10", "h + 35"], ["h", "p + 6", "p + 41"], ["p", "r + 17", "r + 58"], ["r", 20, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"r": 20}, "is_reverse": true}} | 17,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = n + 11; p = r + 17; l = m + 4; v = r + 18; k = z + 8; h = p + 6; z = v + 18; n = a + 10; s = k + 15; q = o + 15; r = 20; a = h + 10; o = s + 1. If r = 20, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 11 to l, which gives l = n + 15.\n2. Substitute n = a + 10 to l, which gives l = a + 25.\n3. Substitute a = h + 10 to l, which gives l = h + 35.\n4. Substitute h = p + 6 to l, which gives l = p + 41.\n5. Substitute p = r + 17 to l, which gives l = r + 58.\n6. Substitute r = 20 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 17367,
"question": "Consider a system of variables where each variable is defined as follows: m = n + 11; p = r + 17; l = m + 4; v = r + 18; k = z + 8; h = p + 6; z = v + 18; n = a + 10; s = k + 15; q = o + 15; r = 20; a = h + 10; o = s + 1. If r = 20, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 14", "k": "c + 17", "d": "k + 18", "b": "d + 11", "x": "b + 6", "m": "x + 19", "z": "y + 13", "q": "z + 15", "g": "q + 17", "o": "g + 13", "v": "o + 12", "t": "v + 14", "y": 14}, "premises": {"y": 14}, "target": "m"}, "answer": {"steps": [["x", "b + 6", "b + 25"], ["b", "d + 11", "d + 36"], ["d", "k + 18", "k + 54"], ["k", "c + 17", "c + 71"], ["c", "y + 14", "y + 85"], ["y", 14, "99"]], "target_var_name": "m", "target_value": 99, "value_dict": {"y": 14}, "is_reverse": true}} | 17,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = q + 17; x = b + 6; c = y + 14; t = v + 14; o = g + 13; d = k + 18; y = 14; q = z + 15; k = c + 17; m = x + 19; z = y + 13; v = o + 12; b = d + 11. Given that y = 14, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 6 to m, which gives m = b + 25.\n2. Substitute b = d + 11 to m, which gives m = d + 36.\n3. Substitute d = k + 18 to m, which gives m = k + 54.\n4. Substitute k = c + 17 to m, which gives m = c + 71.\n5. Substitute c = y + 14 to m, which gives m = y + 85.\n6. Substitute y = 14 to m, which gives m = 99.\n\nThus, the final answer is m = \\boxed{99}.",
"index": 17368,
"question": "Suppose a collection of variables is related by the following definitions: g = q + 17; x = b + 6; c = y + 14; t = v + 14; o = g + 13; d = k + 18; y = 14; q = z + 15; k = c + 17; m = x + 19; z = y + 13; v = o + 12; b = d + 11. Given that y = 14, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 8", "a": "w + 18", "u": "a + 1", "p": "u + 15", "s": "p + 7", "v": "s + 9", "y": "e + 3", "l": "y + 13", "m": "l + 3", "b": "m + 14", "q": "b + 15", "n": "q + 16", "e": 10}, "premises": {"e": 10}, "target": "v"}, "answer": {"steps": [["s", "p + 7", "p + 16"], ["p", "u + 15", "u + 31"], ["u", "a + 1", "a + 32"], ["a", "w + 18", "w + 50"], ["w", "e + 8", "e + 58"], ["e", 10, "68"]], "target_var_name": "v", "target_value": 68, "value_dict": {"e": 10}, "is_reverse": true}} | 17,369 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 14; e = 10; w = e + 8; a = w + 18; n = q + 16; l = y + 13; q = b + 15; v = s + 9; u = a + 1; p = u + 15; y = e + 3; m = l + 3; s = p + 7. Given that e = 10, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 7 to v, which gives v = p + 16.\n2. Substitute p = u + 15 to v, which gives v = u + 31.\n3. Substitute u = a + 1 to v, which gives v = a + 32.\n4. Substitute a = w + 18 to v, which gives v = w + 50.\n5. Substitute w = e + 8 to v, which gives v = e + 58.\n6. Substitute e = 10 to v, which gives v = 68.\n\nThus, the final answer is v = \\boxed{68}.",
"index": 17369,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 14; e = 10; w = e + 8; a = w + 18; n = q + 16; l = y + 13; q = b + 15; v = s + 9; u = a + 1; p = u + 15; y = e + 3; m = l + 3; s = p + 7. Given that e = 10, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 19", "l": "a + 8", "n": "l + 18", "p": "n + 9", "r": "p + 15", "i": "r + 17", "g": "o + 18", "u": "g + 6", "d": "u + 17", "x": "d + 12", "w": "x + 3", "t": "w + 3", "o": 1}, "premises": {"o": 1}, "target": "i"}, "answer": {"steps": [["r", "p + 15", "p + 32"], ["p", "n + 9", "n + 41"], ["n", "l + 18", "l + 59"], ["l", "a + 8", "a + 67"], ["a", "o + 19", "o + 86"], ["o", 1, "87"]], "target_var_name": "i", "target_value": 87, "value_dict": {"o": 1}, "is_reverse": true}} | 17,370 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 6; o = 1; r = p + 15; a = o + 19; x = d + 12; i = r + 17; w = x + 3; l = a + 8; t = w + 3; g = o + 18; p = n + 9; n = l + 18; d = u + 17. Given that o = 1, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 15 to i, which gives i = p + 32.\n2. Substitute p = n + 9 to i, which gives i = n + 41.\n3. Substitute n = l + 18 to i, which gives i = l + 59.\n4. Substitute l = a + 8 to i, which gives i = a + 67.\n5. Substitute a = o + 19 to i, which gives i = o + 86.\n6. Substitute o = 1 to i, which gives i = 87.\n\nThus, the final answer is i = \\boxed{87}.",
"index": 17370,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 6; o = 1; r = p + 15; a = o + 19; x = d + 12; i = r + 17; w = x + 3; l = a + 8; t = w + 3; g = o + 18; p = n + 9; n = l + 18; d = u + 17. Given that o = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "l + 10", "b": "c + 8", "e": "b + 7", "z": "e + 1", "a": "z + 15", "h": "a + 19", "j": "l + 7", "i": "j + 18", "r": "i + 9", "m": "r + 20", "k": "m + 15", "g": "k + 19", "l": 11}, "premises": {"l": 11}, "target": "h"}, "answer": {"steps": [["a", "z + 15", "z + 34"], ["z", "e + 1", "e + 35"], ["e", "b + 7", "b + 42"], ["b", "c + 8", "c + 50"], ["c", "l + 10", "l + 60"], ["l", 11, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"l": 11}, "is_reverse": true}} | 17,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 20; r = i + 9; g = k + 19; c = l + 10; l = 11; j = l + 7; h = a + 19; a = z + 15; z = e + 1; k = m + 15; i = j + 18; e = b + 7; b = c + 8. Given that l = 11, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 15 to h, which gives h = z + 34.\n2. Substitute z = e + 1 to h, which gives h = e + 35.\n3. Substitute e = b + 7 to h, which gives h = b + 42.\n4. Substitute b = c + 8 to h, which gives h = c + 50.\n5. Substitute c = l + 10 to h, which gives h = l + 60.\n6. Substitute l = 11 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 17371,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 20; r = i + 9; g = k + 19; c = l + 10; l = 11; j = l + 7; h = a + 19; a = z + 15; z = e + 1; k = m + 15; i = j + 18; e = b + 7; b = c + 8. Given that l = 11, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 12", "p": "t + 11", "w": "p + 6", "r": "w + 1", "c": "r + 16", "u": "c + 19", "m": "z + 14", "y": "m + 7", "b": "y + 10", "a": "b + 17", "e": "a + 17", "k": "e + 18", "z": 3}, "premises": {"z": 3}, "target": "u"}, "answer": {"steps": [["c", "r + 16", "r + 35"], ["r", "w + 1", "w + 36"], ["w", "p + 6", "p + 42"], ["p", "t + 11", "t + 53"], ["t", "z + 12", "z + 65"], ["z", 3, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"z": 3}, "is_reverse": true}} | 17,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 16; r = w + 1; u = c + 19; t = z + 12; w = p + 6; y = m + 7; m = z + 14; b = y + 10; k = e + 18; a = b + 17; z = 3; e = a + 17; p = t + 11. If z = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 16 to u, which gives u = r + 35.\n2. Substitute r = w + 1 to u, which gives u = w + 36.\n3. Substitute w = p + 6 to u, which gives u = p + 42.\n4. Substitute p = t + 11 to u, which gives u = t + 53.\n5. Substitute t = z + 12 to u, which gives u = z + 65.\n6. Substitute z = 3 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 17372,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = r + 16; r = w + 1; u = c + 19; t = z + 12; w = p + 6; y = m + 7; m = z + 14; b = y + 10; k = e + 18; a = b + 17; z = 3; e = a + 17; p = t + 11. If z = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 20", "n": "p + 19", "q": "n + 4", "f": "q + 18", "g": "f + 16", "d": "g + 3", "z": "i + 8", "j": "z + 3", "x": "j + 1", "w": "x + 7", "h": "w + 10", "c": "h + 1", "i": 15}, "premises": {"i": 15}, "target": "d"}, "answer": {"steps": [["g", "f + 16", "f + 19"], ["f", "q + 18", "q + 37"], ["q", "n + 4", "n + 41"], ["n", "p + 19", "p + 60"], ["p", "i + 20", "i + 80"], ["i", 15, "95"]], "target_var_name": "d", "target_value": 95, "value_dict": {"i": 15}, "is_reverse": true}} | 17,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 20; q = n + 4; d = g + 3; z = i + 8; w = x + 7; x = j + 1; c = h + 1; n = p + 19; i = 15; g = f + 16; j = z + 3; f = q + 18; h = w + 10. Given that i = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 16 to d, which gives d = f + 19.\n2. Substitute f = q + 18 to d, which gives d = q + 37.\n3. Substitute q = n + 4 to d, which gives d = n + 41.\n4. Substitute n = p + 19 to d, which gives d = p + 60.\n5. Substitute p = i + 20 to d, which gives d = i + 80.\n6. Substitute i = 15 to d, which gives d = 95.\n\nThus, the final answer is d = \\boxed{95}.",
"index": 17373,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 20; q = n + 4; d = g + 3; z = i + 8; w = x + 7; x = j + 1; c = h + 1; n = p + 19; i = 15; g = f + 16; j = z + 3; f = q + 18; h = w + 10. Given that i = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 13", "b": "n + 13", "z": "b + 6", "k": "z + 11", "j": "k + 9", "p": "j + 12", "w": "e + 4", "l": "w + 3", "g": "l + 11", "x": "g + 14", "f": "x + 9", "q": "f + 4", "e": 15}, "premises": {"e": 15}, "target": "p"}, "answer": {"steps": [["j", "k + 9", "k + 21"], ["k", "z + 11", "z + 32"], ["z", "b + 6", "b + 38"], ["b", "n + 13", "n + 51"], ["n", "e + 13", "e + 64"], ["e", 15, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"e": 15}, "is_reverse": true}} | 17,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 9; w = e + 4; x = g + 14; q = f + 4; f = x + 9; k = z + 11; b = n + 13; z = b + 6; p = j + 12; n = e + 13; g = l + 11; e = 15; l = w + 3. Given that e = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 9 to p, which gives p = k + 21.\n2. Substitute k = z + 11 to p, which gives p = z + 32.\n3. Substitute z = b + 6 to p, which gives p = b + 38.\n4. Substitute b = n + 13 to p, which gives p = n + 51.\n5. Substitute n = e + 13 to p, which gives p = e + 64.\n6. Substitute e = 15 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 17374,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 9; w = e + 4; x = g + 14; q = f + 4; f = x + 9; k = z + 11; b = n + 13; z = b + 6; p = j + 12; n = e + 13; g = l + 11; e = 15; l = w + 3. Given that e = 15, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 8", "d": "s + 9", "n": "d + 14", "j": "n + 19", "b": "j + 1", "t": "b + 5", "h": "x + 8", "u": "h + 15", "w": "u + 4", "o": "w + 14", "p": "o + 20", "z": "p + 20", "x": 4}, "premises": {"x": 4}, "target": "t"}, "answer": {"steps": [["b", "j + 1", "j + 6"], ["j", "n + 19", "n + 25"], ["n", "d + 14", "d + 39"], ["d", "s + 9", "s + 48"], ["s", "x + 8", "x + 56"], ["x", 4, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"x": 4}, "is_reverse": true}} | 17,375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 20; b = j + 1; j = n + 19; t = b + 5; o = w + 14; d = s + 9; z = p + 20; s = x + 8; x = 4; u = h + 15; w = u + 4; n = d + 14; h = x + 8. If x = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 1 to t, which gives t = j + 6.\n2. Substitute j = n + 19 to t, which gives t = n + 25.\n3. Substitute n = d + 14 to t, which gives t = d + 39.\n4. Substitute d = s + 9 to t, which gives t = s + 48.\n5. Substitute s = x + 8 to t, which gives t = x + 56.\n6. Substitute x = 4 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 17375,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 20; b = j + 1; j = n + 19; t = b + 5; o = w + 14; d = s + 9; z = p + 20; s = x + 8; x = 4; u = h + 15; w = u + 4; n = d + 14; h = x + 8. If x = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 14", "r": "x + 11", "b": "r + 7", "k": "b + 9", "z": "k + 3", "y": "z + 12", "a": "q + 17", "j": "a + 8", "f": "j + 1", "o": "f + 18", "l": "o + 14", "g": "l + 6", "q": 20}, "premises": {"q": 20}, "target": "y"}, "answer": {"steps": [["z", "k + 3", "k + 15"], ["k", "b + 9", "b + 24"], ["b", "r + 7", "r + 31"], ["r", "x + 11", "x + 42"], ["x", "q + 14", "q + 56"], ["q", 20, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"q": 20}, "is_reverse": true}} | 17,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = x + 11; y = z + 12; o = f + 18; f = j + 1; a = q + 17; k = b + 9; g = l + 6; q = 20; j = a + 8; x = q + 14; l = o + 14; z = k + 3; b = r + 7. If q = 20, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 3 to y, which gives y = k + 15.\n2. Substitute k = b + 9 to y, which gives y = b + 24.\n3. Substitute b = r + 7 to y, which gives y = r + 31.\n4. Substitute r = x + 11 to y, which gives y = x + 42.\n5. Substitute x = q + 14 to y, which gives y = q + 56.\n6. Substitute q = 20 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 17376,
"question": "Consider a system of variables where each variable is defined as follows: r = x + 11; y = z + 12; o = f + 18; f = j + 1; a = q + 17; k = b + 9; g = l + 6; q = 20; j = a + 8; x = q + 14; l = o + 14; z = k + 3; b = r + 7. If q = 20, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 9", "i": "o + 15", "p": "i + 13", "d": "p + 3", "e": "d + 10", "x": "e + 2", "b": "w + 11", "r": "b + 19", "s": "r + 2", "g": "s + 12", "v": "g + 11", "f": "v + 1", "w": 3}, "premises": {"w": 3}, "target": "x"}, "answer": {"steps": [["e", "d + 10", "d + 12"], ["d", "p + 3", "p + 15"], ["p", "i + 13", "i + 28"], ["i", "o + 15", "o + 43"], ["o", "w + 9", "w + 52"], ["w", 3, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"w": 3}, "is_reverse": true}} | 17,377 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 2; f = v + 1; p = i + 13; d = p + 3; o = w + 9; g = s + 12; w = 3; i = o + 15; v = g + 11; e = d + 10; x = e + 2; r = b + 19; b = w + 11. If w = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 10 to x, which gives x = d + 12.\n2. Substitute d = p + 3 to x, which gives x = p + 15.\n3. Substitute p = i + 13 to x, which gives x = i + 28.\n4. Substitute i = o + 15 to x, which gives x = o + 43.\n5. Substitute o = w + 9 to x, which gives x = w + 52.\n6. Substitute w = 3 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 17377,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 2; f = v + 1; p = i + 13; d = p + 3; o = w + 9; g = s + 12; w = 3; i = o + 15; v = g + 11; e = d + 10; x = e + 2; r = b + 19; b = w + 11. If w = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 15", "a": "g + 12", "k": "a + 4", "s": "k + 18", "x": "s + 5", "q": "x + 3", "i": "e + 15", "v": "i + 11", "c": "v + 9", "t": "c + 12", "o": "t + 7", "l": "o + 1", "e": 14}, "premises": {"e": 14}, "target": "q"}, "answer": {"steps": [["x", "s + 5", "s + 8"], ["s", "k + 18", "k + 26"], ["k", "a + 4", "a + 30"], ["a", "g + 12", "g + 42"], ["g", "e + 15", "e + 57"], ["e", 14, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"e": 14}, "is_reverse": true}} | 17,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 3; l = o + 1; v = i + 11; i = e + 15; g = e + 15; a = g + 12; o = t + 7; c = v + 9; x = s + 5; e = 14; k = a + 4; t = c + 12; s = k + 18. If e = 14, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 5 to q, which gives q = s + 8.\n2. Substitute s = k + 18 to q, which gives q = k + 26.\n3. Substitute k = a + 4 to q, which gives q = a + 30.\n4. Substitute a = g + 12 to q, which gives q = g + 42.\n5. Substitute g = e + 15 to q, which gives q = e + 57.\n6. Substitute e = 14 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 17378,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 3; l = o + 1; v = i + 11; i = e + 15; g = e + 15; a = g + 12; o = t + 7; c = v + 9; x = s + 5; e = 14; k = a + 4; t = c + 12; s = k + 18. If e = 14, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 16", "y": "r + 5", "c": "y + 3", "g": "c + 17", "f": "g + 11", "t": "f + 7", "d": "k + 17", "w": "d + 15", "a": "w + 10", "q": "a + 9", "u": "q + 11", "s": "u + 12", "k": 17}, "premises": {"k": 17}, "target": "t"}, "answer": {"steps": [["f", "g + 11", "g + 18"], ["g", "c + 17", "c + 35"], ["c", "y + 3", "y + 38"], ["y", "r + 5", "r + 43"], ["r", "k + 16", "k + 59"], ["k", 17, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"k": 17}, "is_reverse": true}} | 17,379 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 5; g = c + 17; t = f + 7; r = k + 16; s = u + 12; w = d + 15; k = 17; d = k + 17; u = q + 11; f = g + 11; q = a + 9; c = y + 3; a = w + 10. If k = 17, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 11 to t, which gives t = g + 18.\n2. Substitute g = c + 17 to t, which gives t = c + 35.\n3. Substitute c = y + 3 to t, which gives t = y + 38.\n4. Substitute y = r + 5 to t, which gives t = r + 43.\n5. Substitute r = k + 16 to t, which gives t = k + 59.\n6. Substitute k = 17 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 17379,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 5; g = c + 17; t = f + 7; r = k + 16; s = u + 12; w = d + 15; k = 17; d = k + 17; u = q + 11; f = g + 11; q = a + 9; c = y + 3; a = w + 10. If k = 17, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 13", "y": "z + 13", "b": "y + 3", "h": "b + 19", "a": "h + 12", "t": "a + 3", "c": "f + 10", "w": "c + 3", "d": "w + 2", "g": "d + 3", "q": "g + 1", "s": "q + 7", "f": 12}, "premises": {"f": 12}, "target": "t"}, "answer": {"steps": [["a", "h + 12", "h + 15"], ["h", "b + 19", "b + 34"], ["b", "y + 3", "y + 37"], ["y", "z + 13", "z + 50"], ["z", "f + 13", "f + 63"], ["f", 12, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"f": 12}, "is_reverse": true}} | 17,380 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 3; s = q + 7; a = h + 12; q = g + 1; z = f + 13; g = d + 3; c = f + 10; b = y + 3; h = b + 19; d = w + 2; f = 12; t = a + 3; y = z + 13. Given that f = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 12 to t, which gives t = h + 15.\n2. Substitute h = b + 19 to t, which gives t = b + 34.\n3. Substitute b = y + 3 to t, which gives t = y + 37.\n4. Substitute y = z + 13 to t, which gives t = z + 50.\n5. Substitute z = f + 13 to t, which gives t = f + 63.\n6. Substitute f = 12 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 17380,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 3; s = q + 7; a = h + 12; q = g + 1; z = f + 13; g = d + 3; c = f + 10; b = y + 3; h = b + 19; d = w + 2; f = 12; t = a + 3; y = z + 13. Given that f = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 20", "v": "z + 18", "u": "v + 18", "t": "u + 5", "e": "t + 3", "n": "e + 2", "q": "m + 19", "r": "q + 20", "s": "r + 3", "x": "s + 8", "l": "x + 7", "f": "l + 17", "m": 11}, "premises": {"m": 11}, "target": "n"}, "answer": {"steps": [["e", "t + 3", "t + 5"], ["t", "u + 5", "u + 10"], ["u", "v + 18", "v + 28"], ["v", "z + 18", "z + 46"], ["z", "m + 20", "m + 66"], ["m", 11, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"m": 11}, "is_reverse": true}} | 17,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = v + 18; l = x + 7; s = r + 3; r = q + 20; x = s + 8; z = m + 20; q = m + 19; t = u + 5; e = t + 3; f = l + 17; m = 11; v = z + 18; n = e + 2. If m = 11, determine 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. Substitute e = t + 3 to n, which gives n = t + 5.\n2. Substitute t = u + 5 to n, which gives n = u + 10.\n3. Substitute u = v + 18 to n, which gives n = v + 28.\n4. Substitute v = z + 18 to n, which gives n = z + 46.\n5. Substitute z = m + 20 to n, which gives n = m + 66.\n6. Substitute m = 11 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 17381,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 18; l = x + 7; s = r + 3; r = q + 20; x = s + 8; z = m + 20; q = m + 19; t = u + 5; e = t + 3; f = l + 17; m = 11; v = z + 18; n = e + 2. If m = 11, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 17", "h": "u + 1", "a": "h + 9", "j": "a + 16", "g": "j + 6", "i": "g + 3", "q": "s + 14", "x": "q + 13", "o": "x + 11", "c": "o + 16", "z": "c + 5", "y": "z + 1", "s": 2}, "premises": {"s": 2}, "target": "i"}, "answer": {"steps": [["g", "j + 6", "j + 9"], ["j", "a + 16", "a + 25"], ["a", "h + 9", "h + 34"], ["h", "u + 1", "u + 35"], ["u", "s + 17", "s + 52"], ["s", 2, "54"]], "target_var_name": "i", "target_value": 54, "value_dict": {"s": 2}, "is_reverse": true}} | 17,382 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = s + 14; g = j + 6; c = o + 16; h = u + 1; x = q + 13; z = c + 5; s = 2; i = g + 3; o = x + 11; y = z + 1; u = s + 17; j = a + 16; a = h + 9. If s = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 6 to i, which gives i = j + 9.\n2. Substitute j = a + 16 to i, which gives i = a + 25.\n3. Substitute a = h + 9 to i, which gives i = h + 34.\n4. Substitute h = u + 1 to i, which gives i = u + 35.\n5. Substitute u = s + 17 to i, which gives i = s + 52.\n6. Substitute s = 2 to i, which gives i = 54.\n\nThus, the final answer is i = \\boxed{54}.",
"index": 17382,
"question": "Consider a system of variables where each variable is defined as follows: q = s + 14; g = j + 6; c = o + 16; h = u + 1; x = q + 13; z = c + 5; s = 2; i = g + 3; o = x + 11; y = z + 1; u = s + 17; j = a + 16; a = h + 9. If s = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 14", "w": "u + 11", "l": "w + 19", "s": "l + 10", "a": "s + 7", "d": "a + 5", "p": "q + 17", "y": "p + 14", "n": "y + 3", "r": "n + 9", "k": "r + 6", "f": "k + 12", "q": 9}, "premises": {"q": 9}, "target": "d"}, "answer": {"steps": [["a", "s + 7", "s + 12"], ["s", "l + 10", "l + 22"], ["l", "w + 19", "w + 41"], ["w", "u + 11", "u + 52"], ["u", "q + 14", "q + 66"], ["q", 9, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"q": 9}, "is_reverse": true}} | 17,383 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 9; q = 9; f = k + 12; p = q + 17; n = y + 3; s = l + 10; k = r + 6; a = s + 7; y = p + 14; w = u + 11; l = w + 19; u = q + 14; d = a + 5. Given that q = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 7 to d, which gives d = s + 12.\n2. Substitute s = l + 10 to d, which gives d = l + 22.\n3. Substitute l = w + 19 to d, which gives d = w + 41.\n4. Substitute w = u + 11 to d, which gives d = u + 52.\n5. Substitute u = q + 14 to d, which gives d = q + 66.\n6. Substitute q = 9 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 17383,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 9; q = 9; f = k + 12; p = q + 17; n = y + 3; s = l + 10; k = r + 6; a = s + 7; y = p + 14; w = u + 11; l = w + 19; u = q + 14; d = a + 5. Given that q = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 14", "r": "f + 20", "e": "r + 1", "d": "e + 20", "q": "d + 9", "l": "q + 18", "w": "n + 12", "o": "w + 3", "b": "o + 9", "k": "b + 3", "z": "k + 17", "c": "z + 15", "n": 15}, "premises": {"n": 15}, "target": "l"}, "answer": {"steps": [["q", "d + 9", "d + 27"], ["d", "e + 20", "e + 47"], ["e", "r + 1", "r + 48"], ["r", "f + 20", "f + 68"], ["f", "n + 14", "n + 82"], ["n", 15, "97"]], "target_var_name": "l", "target_value": 97, "value_dict": {"n": 15}, "is_reverse": true}} | 17,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 20; e = r + 1; k = b + 3; z = k + 17; l = q + 18; r = f + 20; o = w + 3; q = d + 9; f = n + 14; w = n + 12; c = z + 15; n = 15; b = o + 9. Given that n = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 9 to l, which gives l = d + 27.\n2. Substitute d = e + 20 to l, which gives l = e + 47.\n3. Substitute e = r + 1 to l, which gives l = r + 48.\n4. Substitute r = f + 20 to l, which gives l = f + 68.\n5. Substitute f = n + 14 to l, which gives l = n + 82.\n6. Substitute n = 15 to l, which gives l = 97.\n\nThus, the final answer is l = \\boxed{97}.",
"index": 17384,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 20; e = r + 1; k = b + 3; z = k + 17; l = q + 18; r = f + 20; o = w + 3; q = d + 9; f = n + 14; w = n + 12; c = z + 15; n = 15; b = o + 9. Given that n = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 18", "h": "u + 17", "y": "h + 14", "o": "y + 15", "v": "o + 7", "i": "v + 14", "l": "e + 15", "p": "l + 6", "k": "p + 3", "z": "k + 8", "a": "z + 3", "d": "a + 20", "e": 9}, "premises": {"e": 9}, "target": "i"}, "answer": {"steps": [["v", "o + 7", "o + 21"], ["o", "y + 15", "y + 36"], ["y", "h + 14", "h + 50"], ["h", "u + 17", "u + 67"], ["u", "e + 18", "e + 85"], ["e", 9, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"e": 9}, "is_reverse": true}} | 17,385 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 15; u = e + 18; a = z + 3; h = u + 17; p = l + 6; y = h + 14; l = e + 15; i = v + 14; v = o + 7; d = a + 20; z = k + 8; e = 9; k = p + 3. If e = 9, 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. Substitute v = o + 7 to i, which gives i = o + 21.\n2. Substitute o = y + 15 to i, which gives i = y + 36.\n3. Substitute y = h + 14 to i, which gives i = h + 50.\n4. Substitute h = u + 17 to i, which gives i = u + 67.\n5. Substitute u = e + 18 to i, which gives i = e + 85.\n6. Substitute e = 9 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 17385,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 15; u = e + 18; a = z + 3; h = u + 17; p = l + 6; y = h + 14; l = e + 15; i = v + 14; v = o + 7; d = a + 20; z = k + 8; e = 9; k = p + 3. If e = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 16", "w": "q + 20", "o": "w + 17", "p": "o + 14", "z": "p + 9", "m": "z + 7", "l": "v + 7", "e": "l + 2", "c": "e + 4", "y": "c + 15", "f": "y + 6", "r": "f + 3", "v": 18}, "premises": {"v": 18}, "target": "m"}, "answer": {"steps": [["z", "p + 9", "p + 16"], ["p", "o + 14", "o + 30"], ["o", "w + 17", "w + 47"], ["w", "q + 20", "q + 67"], ["q", "v + 16", "v + 83"], ["v", 18, "101"]], "target_var_name": "m", "target_value": 101, "value_dict": {"v": 18}, "is_reverse": true}} | 17,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 18; o = w + 17; z = p + 9; m = z + 7; q = v + 16; r = f + 3; f = y + 6; y = c + 15; l = v + 7; c = e + 4; e = l + 2; w = q + 20; p = o + 14. Given that v = 18, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 9 to m, which gives m = p + 16.\n2. Substitute p = o + 14 to m, which gives m = o + 30.\n3. Substitute o = w + 17 to m, which gives m = w + 47.\n4. Substitute w = q + 20 to m, which gives m = q + 67.\n5. Substitute q = v + 16 to m, which gives m = v + 83.\n6. Substitute v = 18 to m, which gives m = 101.\n\nThus, the final answer is m = \\boxed{101}.",
"index": 17386,
"question": "Suppose a collection of variables is related by the following definitions: v = 18; o = w + 17; z = p + 9; m = z + 7; q = v + 16; r = f + 3; f = y + 6; y = c + 15; l = v + 7; c = e + 4; e = l + 2; w = q + 20; p = o + 14. Given that v = 18, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 20", "q": "l + 19", "s": "q + 9", "m": "s + 12", "o": "m + 12", "x": "o + 8", "c": "r + 19", "e": "c + 8", "a": "e + 8", "j": "a + 10", "y": "j + 3", "b": "y + 12", "r": 6}, "premises": {"r": 6}, "target": "x"}, "answer": {"steps": [["o", "m + 12", "m + 20"], ["m", "s + 12", "s + 32"], ["s", "q + 9", "q + 41"], ["q", "l + 19", "l + 60"], ["l", "r + 20", "r + 80"], ["r", 6, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"r": 6}, "is_reverse": true}} | 17,387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 8; r = 6; o = m + 12; a = e + 8; m = s + 12; b = y + 12; j = a + 10; c = r + 19; e = c + 8; y = j + 3; q = l + 19; s = q + 9; l = r + 20. If r = 6, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 12 to x, which gives x = m + 20.\n2. Substitute m = s + 12 to x, which gives x = s + 32.\n3. Substitute s = q + 9 to x, which gives x = q + 41.\n4. Substitute q = l + 19 to x, which gives x = l + 60.\n5. Substitute l = r + 20 to x, which gives x = r + 80.\n6. Substitute r = 6 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 17387,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 8; r = 6; o = m + 12; a = e + 8; m = s + 12; b = y + 12; j = a + 10; c = r + 19; e = c + 8; y = j + 3; q = l + 19; s = q + 9; l = r + 20. If r = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 14", "z": "f + 5", "a": "z + 4", "s": "a + 3", "v": "s + 7", "q": "v + 6", "h": "d + 20", "m": "h + 3", "l": "m + 19", "x": "l + 10", "j": "x + 15", "r": "j + 2", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["v", "s + 7", "s + 13"], ["s", "a + 3", "a + 16"], ["a", "z + 4", "z + 20"], ["z", "f + 5", "f + 25"], ["f", "d + 14", "d + 39"], ["d", 9, "48"]], "target_var_name": "q", "target_value": 48, "value_dict": {"d": 9}, "is_reverse": true}} | 17,388 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 4; s = a + 3; h = d + 20; q = v + 6; d = 9; l = m + 19; v = s + 7; z = f + 5; j = x + 15; r = j + 2; x = l + 10; f = d + 14; m = h + 3. If d = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 7 to q, which gives q = s + 13.\n2. Substitute s = a + 3 to q, which gives q = a + 16.\n3. Substitute a = z + 4 to q, which gives q = z + 20.\n4. Substitute z = f + 5 to q, which gives q = f + 25.\n5. Substitute f = d + 14 to q, which gives q = d + 39.\n6. Substitute d = 9 to q, which gives q = 48.\n\nThus, the final answer is q = \\boxed{48}.",
"index": 17388,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 4; s = a + 3; h = d + 20; q = v + 6; d = 9; l = m + 19; v = s + 7; z = f + 5; j = x + 15; r = j + 2; x = l + 10; f = d + 14; m = h + 3. If d = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 10", "q": "y + 19", "w": "q + 16", "d": "w + 19", "g": "d + 2", "h": "g + 5", "a": "b + 20", "v": "a + 14", "c": "v + 20", "p": "c + 14", "x": "p + 10", "s": "x + 20", "b": 11}, "premises": {"b": 11}, "target": "h"}, "answer": {"steps": [["g", "d + 2", "d + 7"], ["d", "w + 19", "w + 26"], ["w", "q + 16", "q + 42"], ["q", "y + 19", "y + 61"], ["y", "b + 10", "b + 71"], ["b", 11, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"b": 11}, "is_reverse": true}} | 17,389 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 19; w = q + 16; h = g + 5; b = 11; x = p + 10; s = x + 20; a = b + 20; q = y + 19; v = a + 14; g = d + 2; p = c + 14; c = v + 20; y = b + 10. If b = 11, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 2 to h, which gives h = d + 7.\n2. Substitute d = w + 19 to h, which gives h = w + 26.\n3. Substitute w = q + 16 to h, which gives h = q + 42.\n4. Substitute q = y + 19 to h, which gives h = y + 61.\n5. Substitute y = b + 10 to h, which gives h = b + 71.\n6. Substitute b = 11 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 17389,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 19; w = q + 16; h = g + 5; b = 11; x = p + 10; s = x + 20; a = b + 20; q = y + 19; v = a + 14; g = d + 2; p = c + 14; c = v + 20; y = b + 10. If b = 11, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 13", "x": "z + 6", "l": "x + 9", "t": "l + 5", "f": "t + 2", "h": "f + 19", "b": "s + 16", "e": "b + 9", "q": "e + 15", "p": "q + 8", "j": "p + 4", "c": "j + 6", "s": 10}, "premises": {"s": 10}, "target": "h"}, "answer": {"steps": [["f", "t + 2", "t + 21"], ["t", "l + 5", "l + 26"], ["l", "x + 9", "x + 35"], ["x", "z + 6", "z + 41"], ["z", "s + 13", "s + 54"], ["s", 10, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"s": 10}, "is_reverse": true}} | 17,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = j + 6; p = q + 8; q = e + 15; f = t + 2; l = x + 9; b = s + 16; s = 10; z = s + 13; t = l + 5; x = z + 6; h = f + 19; e = b + 9; j = p + 4. Given that s = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 2 to h, which gives h = t + 21.\n2. Substitute t = l + 5 to h, which gives h = l + 26.\n3. Substitute l = x + 9 to h, which gives h = x + 35.\n4. Substitute x = z + 6 to h, which gives h = z + 41.\n5. Substitute z = s + 13 to h, which gives h = s + 54.\n6. Substitute s = 10 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 17390,
"question": "Suppose a collection of variables is related by the following definitions: c = j + 6; p = q + 8; q = e + 15; f = t + 2; l = x + 9; b = s + 16; s = 10; z = s + 13; t = l + 5; x = z + 6; h = f + 19; e = b + 9; j = p + 4. Given that s = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 6", "q": "b + 17", "p": "q + 6", "w": "p + 15", "s": "w + 13", "n": "s + 12", "d": "r + 6", "o": "d + 8", "g": "o + 4", "i": "g + 19", "e": "i + 10", "m": "e + 8", "r": 12}, "premises": {"r": 12}, "target": "n"}, "answer": {"steps": [["s", "w + 13", "w + 25"], ["w", "p + 15", "p + 40"], ["p", "q + 6", "q + 46"], ["q", "b + 17", "b + 63"], ["b", "r + 6", "r + 69"], ["r", 12, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"r": 12}, "is_reverse": true}} | 17,391 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 4; o = d + 8; d = r + 6; p = q + 6; n = s + 12; q = b + 17; s = w + 13; w = p + 15; m = e + 8; b = r + 6; r = 12; e = i + 10; i = g + 19. If r = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 13 to n, which gives n = w + 25.\n2. Substitute w = p + 15 to n, which gives n = p + 40.\n3. Substitute p = q + 6 to n, which gives n = q + 46.\n4. Substitute q = b + 17 to n, which gives n = b + 63.\n5. Substitute b = r + 6 to n, which gives n = r + 69.\n6. Substitute r = 12 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 17391,
"question": "Consider a system of variables where each variable is defined as follows: g = o + 4; o = d + 8; d = r + 6; p = q + 6; n = s + 12; q = b + 17; s = w + 13; w = p + 15; m = e + 8; b = r + 6; r = 12; e = i + 10; i = g + 19. If r = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 7", "m": "d + 3", "h": "m + 16", "r": "h + 7", "y": "r + 12", "l": "y + 2", "p": "c + 20", "f": "p + 1", "a": "f + 1", "z": "a + 20", "x": "z + 7", "g": "x + 11", "c": 7}, "premises": {"c": 7}, "target": "l"}, "answer": {"steps": [["y", "r + 12", "r + 14"], ["r", "h + 7", "h + 21"], ["h", "m + 16", "m + 37"], ["m", "d + 3", "d + 40"], ["d", "c + 7", "c + 47"], ["c", 7, "54"]], "target_var_name": "l", "target_value": 54, "value_dict": {"c": 7}, "is_reverse": true}} | 17,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 7; y = r + 12; c = 7; d = c + 7; r = h + 7; h = m + 16; a = f + 1; l = y + 2; f = p + 1; z = a + 20; m = d + 3; g = x + 11; p = c + 20. If c = 7, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 12 to l, which gives l = r + 14.\n2. Substitute r = h + 7 to l, which gives l = h + 21.\n3. Substitute h = m + 16 to l, which gives l = m + 37.\n4. Substitute m = d + 3 to l, which gives l = d + 40.\n5. Substitute d = c + 7 to l, which gives l = c + 47.\n6. Substitute c = 7 to l, which gives l = 54.\n\nThus, the final answer is l = \\boxed{54}.",
"index": 17392,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 7; y = r + 12; c = 7; d = c + 7; r = h + 7; h = m + 16; a = f + 1; l = y + 2; f = p + 1; z = a + 20; m = d + 3; g = x + 11; p = c + 20. If c = 7, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 13", "y": "f + 6", "z": "y + 1", "j": "z + 12", "s": "j + 20", "n": "s + 10", "l": "v + 18", "o": "l + 11", "b": "o + 14", "p": "b + 11", "w": "p + 3", "k": "w + 12", "v": 15}, "premises": {"v": 15}, "target": "n"}, "answer": {"steps": [["s", "j + 20", "j + 30"], ["j", "z + 12", "z + 42"], ["z", "y + 1", "y + 43"], ["y", "f + 6", "f + 49"], ["f", "v + 13", "v + 62"], ["v", 15, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"v": 15}, "is_reverse": true}} | 17,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 14; k = w + 12; n = s + 10; z = y + 1; v = 15; l = v + 18; o = l + 11; s = j + 20; f = v + 13; w = p + 3; j = z + 12; p = b + 11; y = f + 6. Given that v = 15, 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. Substitute s = j + 20 to n, which gives n = j + 30.\n2. Substitute j = z + 12 to n, which gives n = z + 42.\n3. Substitute z = y + 1 to n, which gives n = y + 43.\n4. Substitute y = f + 6 to n, which gives n = f + 49.\n5. Substitute f = v + 13 to n, which gives n = v + 62.\n6. Substitute v = 15 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 17393,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 14; k = w + 12; n = s + 10; z = y + 1; v = 15; l = v + 18; o = l + 11; s = j + 20; f = v + 13; w = p + 3; j = z + 12; p = b + 11; y = f + 6. Given that v = 15, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 3", "j": "e + 7", "c": "j + 9", "g": "c + 18", "q": "g + 6", "l": "q + 11", "f": "d + 17", "x": "f + 20", "z": "x + 6", "b": "z + 11", "r": "b + 9", "y": "r + 2", "d": 19}, "premises": {"d": 19}, "target": "l"}, "answer": {"steps": [["q", "g + 6", "g + 17"], ["g", "c + 18", "c + 35"], ["c", "j + 9", "j + 44"], ["j", "e + 7", "e + 51"], ["e", "d + 3", "d + 54"], ["d", 19, "73"]], "target_var_name": "l", "target_value": 73, "value_dict": {"d": 19}, "is_reverse": true}} | 17,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 6; g = c + 18; c = j + 9; e = d + 3; f = d + 17; d = 19; y = r + 2; b = z + 11; l = q + 11; x = f + 20; j = e + 7; r = b + 9; z = x + 6. If d = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 6 to l, which gives l = g + 17.\n2. Substitute g = c + 18 to l, which gives l = c + 35.\n3. Substitute c = j + 9 to l, which gives l = j + 44.\n4. Substitute j = e + 7 to l, which gives l = e + 51.\n5. Substitute e = d + 3 to l, which gives l = d + 54.\n6. Substitute d = 19 to l, which gives l = 73.\n\nThus, the final answer is l = \\boxed{73}.",
"index": 17394,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 6; g = c + 18; c = j + 9; e = d + 3; f = d + 17; d = 19; y = r + 2; b = z + 11; l = q + 11; x = f + 20; j = e + 7; r = b + 9; z = x + 6. If d = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 3", "w": "r + 1", "h": "w + 20", "p": "h + 5", "j": "p + 12", "d": "j + 15", "v": "n + 18", "o": "v + 6", "f": "o + 15", "z": "f + 17", "t": "z + 4", "m": "t + 7", "n": 20}, "premises": {"n": 20}, "target": "d"}, "answer": {"steps": [["j", "p + 12", "p + 27"], ["p", "h + 5", "h + 32"], ["h", "w + 20", "w + 52"], ["w", "r + 1", "r + 53"], ["r", "n + 3", "n + 56"], ["n", 20, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"n": 20}, "is_reverse": true}} | 17,395 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 6; f = o + 15; p = h + 5; h = w + 20; j = p + 12; n = 20; w = r + 1; z = f + 17; t = z + 4; v = n + 18; m = t + 7; d = j + 15; r = n + 3. If n = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 12 to d, which gives d = p + 27.\n2. Substitute p = h + 5 to d, which gives d = h + 32.\n3. Substitute h = w + 20 to d, which gives d = w + 52.\n4. Substitute w = r + 1 to d, which gives d = r + 53.\n5. Substitute r = n + 3 to d, which gives d = n + 56.\n6. Substitute n = 20 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 17395,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 6; f = o + 15; p = h + 5; h = w + 20; j = p + 12; n = 20; w = r + 1; z = f + 17; t = z + 4; v = n + 18; m = t + 7; d = j + 15; r = n + 3. If n = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 17", "u": "l + 18", "o": "u + 19", "r": "o + 9", "q": "r + 15", "v": "q + 11", "y": "k + 6", "s": "y + 1", "w": "s + 10", "x": "w + 18", "a": "x + 11", "m": "a + 9", "k": 6}, "premises": {"k": 6}, "target": "v"}, "answer": {"steps": [["q", "r + 15", "r + 26"], ["r", "o + 9", "o + 35"], ["o", "u + 19", "u + 54"], ["u", "l + 18", "l + 72"], ["l", "k + 17", "k + 89"], ["k", 6, "95"]], "target_var_name": "v", "target_value": 95, "value_dict": {"k": 6}, "is_reverse": true}} | 17,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 11; r = o + 9; y = k + 6; s = y + 1; q = r + 15; a = x + 11; x = w + 18; o = u + 19; w = s + 10; m = a + 9; u = l + 18; k = 6; l = k + 17. Given that k = 6, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 15 to v, which gives v = r + 26.\n2. Substitute r = o + 9 to v, which gives v = o + 35.\n3. Substitute o = u + 19 to v, which gives v = u + 54.\n4. Substitute u = l + 18 to v, which gives v = l + 72.\n5. Substitute l = k + 17 to v, which gives v = k + 89.\n6. Substitute k = 6 to v, which gives v = 95.\n\nThus, the final answer is v = \\boxed{95}.",
"index": 17396,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 11; r = o + 9; y = k + 6; s = y + 1; q = r + 15; a = x + 11; x = w + 18; o = u + 19; w = s + 10; m = a + 9; u = l + 18; k = 6; l = k + 17. Given that k = 6, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 15", "b": "f + 11", "a": "b + 9", "r": "a + 20", "i": "r + 17", "y": "i + 17", "w": "l + 16", "g": "w + 9", "v": "g + 7", "u": "v + 18", "e": "u + 19", "s": "e + 12", "l": 19}, "premises": {"l": 19}, "target": "y"}, "answer": {"steps": [["i", "r + 17", "r + 34"], ["r", "a + 20", "a + 54"], ["a", "b + 9", "b + 63"], ["b", "f + 11", "f + 74"], ["f", "l + 15", "l + 89"], ["l", 19, "108"]], "target_var_name": "y", "target_value": 108, "value_dict": {"l": 19}, "is_reverse": true}} | 17,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = i + 17; v = g + 7; l = 19; u = v + 18; b = f + 11; s = e + 12; w = l + 16; r = a + 20; e = u + 19; g = w + 9; f = l + 15; a = b + 9; i = r + 17. Given that l = 19, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 17 to y, which gives y = r + 34.\n2. Substitute r = a + 20 to y, which gives y = a + 54.\n3. Substitute a = b + 9 to y, which gives y = b + 63.\n4. Substitute b = f + 11 to y, which gives y = f + 74.\n5. Substitute f = l + 15 to y, which gives y = l + 89.\n6. Substitute l = 19 to y, which gives y = 108.\n\nThus, the final answer is y = \\boxed{108}.",
"index": 17397,
"question": "Suppose a collection of variables is related by the following definitions: y = i + 17; v = g + 7; l = 19; u = v + 18; b = f + 11; s = e + 12; w = l + 16; r = a + 20; e = u + 19; g = w + 9; f = l + 15; a = b + 9; i = r + 17. Given that l = 19, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "t + 13", "l": "g + 1", "e": "l + 9", "n": "e + 15", "b": "n + 7", "z": "b + 16", "x": "t + 7", "a": "x + 6", "h": "a + 5", "m": "h + 18", "y": "m + 10", "c": "y + 9", "t": 20}, "premises": {"t": 20}, "target": "z"}, "answer": {"steps": [["b", "n + 7", "n + 23"], ["n", "e + 15", "e + 38"], ["e", "l + 9", "l + 47"], ["l", "g + 1", "g + 48"], ["g", "t + 13", "t + 61"], ["t", 20, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"t": 20}, "is_reverse": true}} | 17,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 13; t = 20; h = a + 5; x = t + 7; e = l + 9; m = h + 18; n = e + 15; c = y + 9; l = g + 1; y = m + 10; a = x + 6; z = b + 16; b = n + 7. Given that t = 20, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 7 to z, which gives z = n + 23.\n2. Substitute n = e + 15 to z, which gives z = e + 38.\n3. Substitute e = l + 9 to z, which gives z = l + 47.\n4. Substitute l = g + 1 to z, which gives z = g + 48.\n5. Substitute g = t + 13 to z, which gives z = t + 61.\n6. Substitute t = 20 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 17398,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 13; t = 20; h = a + 5; x = t + 7; e = l + 9; m = h + 18; n = e + 15; c = y + 9; l = g + 1; y = m + 10; a = x + 6; z = b + 16; b = n + 7. Given that t = 20, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 12", "x": "d + 19", "p": "x + 3", "o": "p + 3", "y": "o + 19", "k": "y + 6", "z": "i + 19", "b": "z + 7", "l": "b + 3", "r": "l + 5", "t": "r + 5", "h": "t + 8", "i": 17}, "premises": {"i": 17}, "target": "k"}, "answer": {"steps": [["y", "o + 19", "o + 25"], ["o", "p + 3", "p + 28"], ["p", "x + 3", "x + 31"], ["x", "d + 19", "d + 50"], ["d", "i + 12", "i + 62"], ["i", 17, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"i": 17}, "is_reverse": true}} | 17,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 5; b = z + 7; h = t + 8; k = y + 6; d = i + 12; r = l + 5; o = p + 3; y = o + 19; x = d + 19; l = b + 3; z = i + 19; p = x + 3; i = 17. If i = 17, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 19 to k, which gives k = o + 25.\n2. Substitute o = p + 3 to k, which gives k = p + 28.\n3. Substitute p = x + 3 to k, which gives k = x + 31.\n4. Substitute x = d + 19 to k, which gives k = d + 50.\n5. Substitute d = i + 12 to k, which gives k = i + 62.\n6. Substitute i = 17 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 17399,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 5; b = z + 7; h = t + 8; k = y + 6; d = i + 12; r = l + 5; o = p + 3; y = o + 19; x = d + 19; l = b + 3; z = i + 19; p = x + 3; i = 17. If i = 17, determine the value of k.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.