meta stringlengths 521 549 | 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": {"t": "b + 6", "d": "t + 19", "c": "d + 2", "w": "c + 2", "y": "w + 7", "v": "y + 9", "s": "b + 2", "q": "s + 9", "o": "q + 13", "x": "o + 15", "k": "x + 13", "u": "k + 2", "b": 2}, "premises": {"b": 2}, "target": "v"}, "answer": {"steps": [["t", "b + 6", 8], ["d", "t + 19", 27], ["c", "d + 2", 29], ["w", "c + 2", 31], ["y", "w + 7", 38], ["v", "y + 9", 47]], "target_var_name": "v", "target_value": 47, "value_dict": {"b": 2, "t": 8, "d": 27, "c": 29, "w": 31, "y": 38, "v": 47}, "is_reverse": false}} | 500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 2; c = d + 2; u = k + 2; v = y + 9; d = t + 19; o = q + 13; k = x + 13; q = s + 9; w = c + 2; x = o + 15; s = b + 2; t = b + 6; y = w + 7. Given that b = 2, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = b + 6, which gives t = 8.\n2. Compute d using d = t + 19, which gives d = 27.\n3. Compute c using c = d + 2, which gives c = 29.\n4. Compute w using w = c + 2, which gives w = 31.\n5. Compute y using y = w + 7, which gives y = 38.\n6. Compute v using v = y + 9, which gives v = 47.\n\nThus, the final answer is v = \\boxed{47}.",
"index": 500,
"question": "Suppose a collection of variables is related by the following definitions: b = 2; c = d + 2; u = k + 2; v = y + 9; d = t + 19; o = q + 13; k = x + 13; q = s + 9; w = c + 2; x = o + 15; s = b + 2; t = b + 6; y = w + 7. Given that b = 2, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 18", "y": "p + 10", "b": "y + 14", "g": "b + 6", "f": "g + 8", "x": "f + 3", "r": "i + 11", "s": "r + 13", "h": "s + 4", "o": "h + 20", "n": "o + 8", "m": "n + 7", "i": 14}, "premises": {"i": 14}, "target": "x"}, "answer": {"steps": [["p", "i + 18", 32], ["y", "p + 10", 42], ["b", "y + 14", 56], ["g", "b + 6", 62], ["f", "g + 8", 70], ["x", "f + 3", 73]], "target_var_name": "x", "target_value": 73, "value_dict": {"i": 14, "p": 32, "y": 42, "b": 56, "g": 62, "f": 70, "x": 73}, "is_reverse": false}} | 501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 18; o = h + 20; n = o + 8; r = i + 11; y = p + 10; s = r + 13; f = g + 8; b = y + 14; m = n + 7; i = 14; x = f + 3; g = b + 6; h = s + 4. Given that i = 14, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 18, which gives p = 32.\n2. Compute y using y = p + 10, which gives y = 42.\n3. Compute b using b = y + 14, which gives b = 56.\n4. Compute g using g = b + 6, which gives g = 62.\n5. Compute f using f = g + 8, which gives f = 70.\n6. Compute x using x = f + 3, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 501,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 18; o = h + 20; n = o + 8; r = i + 11; y = p + 10; s = r + 13; f = g + 8; b = y + 14; m = n + 7; i = 14; x = f + 3; g = b + 6; h = s + 4. Given that i = 14, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 6", "e": "m + 18", "l": "e + 17", "b": "l + 2", "a": "b + 9", "r": "a + 15", "q": "t + 5", "x": "q + 4", "g": "x + 12", "c": "g + 9", "u": "c + 7", "p": "u + 20", "t": 12}, "premises": {"t": 12}, "target": "r"}, "answer": {"steps": [["m", "t + 6", 18], ["e", "m + 18", 36], ["l", "e + 17", 53], ["b", "l + 2", 55], ["a", "b + 9", 64], ["r", "a + 15", 79]], "target_var_name": "r", "target_value": 79, "value_dict": {"t": 12, "m": 18, "e": 36, "l": 53, "b": 55, "a": 64, "r": 79}, "is_reverse": false}} | 502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = x + 12; q = t + 5; e = m + 18; l = e + 17; r = a + 15; m = t + 6; c = g + 9; a = b + 9; u = c + 7; p = u + 20; t = 12; x = q + 4; b = l + 2. If t = 12, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = t + 6, which gives m = 18.\n2. Compute e using e = m + 18, which gives e = 36.\n3. Compute l using l = e + 17, which gives l = 53.\n4. Compute b using b = l + 2, which gives b = 55.\n5. Compute a using a = b + 9, which gives a = 64.\n6. Compute r using r = a + 15, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 502,
"question": "Consider a system of variables where each variable is defined as follows: g = x + 12; q = t + 5; e = m + 18; l = e + 17; r = a + 15; m = t + 6; c = g + 9; a = b + 9; u = c + 7; p = u + 20; t = 12; x = q + 4; b = l + 2. If t = 12, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 20", "x": "m + 11", "r": "x + 2", "j": "r + 8", "k": "j + 9", "o": "k + 1", "a": "c + 10", "n": "a + 10", "g": "n + 8", "h": "g + 15", "e": "h + 5", "q": "e + 19", "c": 18}, "premises": {"c": 18}, "target": "o"}, "answer": {"steps": [["m", "c + 20", 38], ["x", "m + 11", 49], ["r", "x + 2", 51], ["j", "r + 8", 59], ["k", "j + 9", 68], ["o", "k + 1", 69]], "target_var_name": "o", "target_value": 69, "value_dict": {"c": 18, "m": 38, "x": 49, "r": 51, "j": 59, "k": 68, "o": 69}, "is_reverse": false}} | 503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = 18; n = a + 10; e = h + 5; q = e + 19; j = r + 8; r = x + 2; m = c + 20; g = n + 8; h = g + 15; k = j + 9; a = c + 10; o = k + 1; x = m + 11. Given that c = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = c + 20, which gives m = 38.\n2. Compute x using x = m + 11, which gives x = 49.\n3. Compute r using r = x + 2, which gives r = 51.\n4. Compute j using j = r + 8, which gives j = 59.\n5. Compute k using k = j + 9, which gives k = 68.\n6. Compute o using o = k + 1, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 503,
"question": "Suppose a collection of variables is related by the following definitions: c = 18; n = a + 10; e = h + 5; q = e + 19; j = r + 8; r = x + 2; m = c + 20; g = n + 8; h = g + 15; k = j + 9; a = c + 10; o = k + 1; x = m + 11. Given that c = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 3", "i": "d + 19", "j": "i + 13", "w": "j + 1", "g": "w + 6", "e": "g + 8", "o": "h + 1", "r": "o + 16", "c": "r + 3", "l": "c + 14", "u": "l + 13", "t": "u + 17", "h": 8}, "premises": {"h": 8}, "target": "e"}, "answer": {"steps": [["d", "h + 3", 11], ["i", "d + 19", 30], ["j", "i + 13", 43], ["w", "j + 1", 44], ["g", "w + 6", 50], ["e", "g + 8", 58]], "target_var_name": "e", "target_value": 58, "value_dict": {"h": 8, "d": 11, "i": 30, "j": 43, "w": 44, "g": 50, "e": 58}, "is_reverse": false}} | 504 | 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 = j + 1; g = w + 6; u = l + 13; t = u + 17; o = h + 1; i = d + 19; l = c + 14; d = h + 3; j = i + 13; c = r + 3; e = g + 8; h = 8; r = o + 16. If h = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = h + 3, which gives d = 11.\n2. Compute i using i = d + 19, which gives i = 30.\n3. Compute j using j = i + 13, which gives j = 43.\n4. Compute w using w = j + 1, which gives w = 44.\n5. Compute g using g = w + 6, which gives g = 50.\n6. Compute e using e = g + 8, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 504,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 1; g = w + 6; u = l + 13; t = u + 17; o = h + 1; i = d + 19; l = c + 14; d = h + 3; j = i + 13; c = r + 3; e = g + 8; h = 8; r = o + 16. If h = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 19", "g": "w + 9", "d": "g + 18", "v": "d + 7", "s": "v + 17", "l": "s + 5", "r": "i + 17", "n": "r + 7", "u": "n + 11", "m": "u + 11", "e": "m + 9", "b": "e + 15", "i": 7}, "premises": {"i": 7}, "target": "l"}, "answer": {"steps": [["w", "i + 19", 26], ["g", "w + 9", 35], ["d", "g + 18", 53], ["v", "d + 7", 60], ["s", "v + 17", 77], ["l", "s + 5", 82]], "target_var_name": "l", "target_value": 82, "value_dict": {"i": 7, "w": 26, "g": 35, "d": 53, "v": 60, "s": 77, "l": 82}, "is_reverse": false}} | 505 | 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 = n + 11; n = r + 7; e = m + 9; v = d + 7; i = 7; l = s + 5; w = i + 19; s = v + 17; m = u + 11; d = g + 18; b = e + 15; g = w + 9; r = i + 17. If i = 7, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = i + 19, which gives w = 26.\n2. Compute g using g = w + 9, which gives g = 35.\n3. Compute d using d = g + 18, which gives d = 53.\n4. Compute v using v = d + 7, which gives v = 60.\n5. Compute s using s = v + 17, which gives s = 77.\n6. Compute l using l = s + 5, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 11; n = r + 7; e = m + 9; v = d + 7; i = 7; l = s + 5; w = i + 19; s = v + 17; m = u + 11; d = g + 18; b = e + 15; g = w + 9; r = i + 17. If i = 7, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 6", "c": "j + 11", "r": "c + 4", "o": "r + 16", "d": "o + 9", "y": "d + 11", "e": "t + 17", "s": "e + 9", "p": "s + 12", "a": "p + 2", "g": "a + 17", "u": "g + 17", "t": 2}, "premises": {"t": 2}, "target": "y"}, "answer": {"steps": [["j", "t + 6", 8], ["c", "j + 11", 19], ["r", "c + 4", 23], ["o", "r + 16", 39], ["d", "o + 9", 48], ["y", "d + 11", 59]], "target_var_name": "y", "target_value": 59, "value_dict": {"t": 2, "j": 8, "c": 19, "r": 23, "o": 39, "d": 48, "y": 59}, "is_reverse": false}} | 506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 12; j = t + 6; t = 2; y = d + 11; a = p + 2; s = e + 9; d = o + 9; o = r + 16; e = t + 17; c = j + 11; r = c + 4; g = a + 17; u = g + 17. Given that t = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = t + 6, which gives j = 8.\n2. Compute c using c = j + 11, which gives c = 19.\n3. Compute r using r = c + 4, which gives r = 23.\n4. Compute o using o = r + 16, which gives o = 39.\n5. Compute d using d = o + 9, which gives d = 48.\n6. Compute y using y = d + 11, which gives y = 59.\n\nThus, the final answer is y = \\boxed{59}.",
"index": 506,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 12; j = t + 6; t = 2; y = d + 11; a = p + 2; s = e + 9; d = o + 9; o = r + 16; e = t + 17; c = j + 11; r = c + 4; g = a + 17; u = g + 17. Given that t = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 11", "q": "e + 20", "g": "q + 19", "r": "g + 10", "y": "r + 7", "x": "y + 14", "c": "k + 11", "u": "c + 19", "i": "u + 3", "h": "i + 5", "m": "h + 15", "d": "m + 13", "k": 19}, "premises": {"k": 19}, "target": "x"}, "answer": {"steps": [["e", "k + 11", 30], ["q", "e + 20", 50], ["g", "q + 19", 69], ["r", "g + 10", 79], ["y", "r + 7", 86], ["x", "y + 14", 100]], "target_var_name": "x", "target_value": 100, "value_dict": {"k": 19, "e": 30, "q": 50, "g": 69, "r": 79, "y": 86, "x": 100}, "is_reverse": false}} | 507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = i + 5; r = g + 10; y = r + 7; x = y + 14; c = k + 11; d = m + 13; e = k + 11; u = c + 19; m = h + 15; i = u + 3; k = 19; q = e + 20; g = q + 19. Given that k = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = k + 11, which gives e = 30.\n2. Compute q using q = e + 20, which gives q = 50.\n3. Compute g using g = q + 19, which gives g = 69.\n4. Compute r using r = g + 10, which gives r = 79.\n5. Compute y using y = r + 7, which gives y = 86.\n6. Compute x using x = y + 14, which gives x = 100.\n\nThus, the final answer is x = \\boxed{100}.",
"index": 507,
"question": "Suppose a collection of variables is related by the following definitions: h = i + 5; r = g + 10; y = r + 7; x = y + 14; c = k + 11; d = m + 13; e = k + 11; u = c + 19; m = h + 15; i = u + 3; k = 19; q = e + 20; g = q + 19. Given that k = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 18", "w": "q + 18", "e": "w + 4", "j": "e + 17", "m": "j + 10", "p": "m + 13", "a": "z + 9", "f": "a + 2", "u": "f + 6", "s": "u + 14", "k": "s + 11", "h": "k + 19", "z": 14}, "premises": {"z": 14}, "target": "p"}, "answer": {"steps": [["q", "z + 18", 32], ["w", "q + 18", 50], ["e", "w + 4", 54], ["j", "e + 17", 71], ["m", "j + 10", 81], ["p", "m + 13", 94]], "target_var_name": "p", "target_value": 94, "value_dict": {"z": 14, "q": 32, "w": 50, "e": 54, "j": 71, "m": 81, "p": 94}, "is_reverse": false}} | 508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 9; w = q + 18; u = f + 6; s = u + 14; f = a + 2; k = s + 11; j = e + 17; q = z + 18; m = j + 10; p = m + 13; h = k + 19; e = w + 4; z = 14. Given that z = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = z + 18, which gives q = 32.\n2. Compute w using w = q + 18, which gives w = 50.\n3. Compute e using e = w + 4, which gives e = 54.\n4. Compute j using j = e + 17, which gives j = 71.\n5. Compute m using m = j + 10, which gives m = 81.\n6. Compute p using p = m + 13, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 508,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 9; w = q + 18; u = f + 6; s = u + 14; f = a + 2; k = s + 11; j = e + 17; q = z + 18; m = j + 10; p = m + 13; h = k + 19; e = w + 4; z = 14. Given that z = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 18", "x": "n + 10", "g": "x + 20", "j": "g + 4", "o": "j + 7", "a": "o + 15", "w": "r + 1", "c": "w + 4", "b": "c + 5", "k": "b + 5", "d": "k + 8", "q": "d + 4", "r": 18}, "premises": {"r": 18}, "target": "a"}, "answer": {"steps": [["n", "r + 18", 36], ["x", "n + 10", 46], ["g", "x + 20", 66], ["j", "g + 4", 70], ["o", "j + 7", 77], ["a", "o + 15", 92]], "target_var_name": "a", "target_value": 92, "value_dict": {"r": 18, "n": 36, "x": 46, "g": 66, "j": 70, "o": 77, "a": 92}, "is_reverse": false}} | 509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 5; r = 18; j = g + 4; a = o + 15; c = w + 4; o = j + 7; w = r + 1; g = x + 20; k = b + 5; q = d + 4; d = k + 8; n = r + 18; x = n + 10. If r = 18, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = r + 18, which gives n = 36.\n2. Compute x using x = n + 10, which gives x = 46.\n3. Compute g using g = x + 20, which gives g = 66.\n4. Compute j using j = g + 4, which gives j = 70.\n5. Compute o using o = j + 7, which gives o = 77.\n6. Compute a using a = o + 15, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 509,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 5; r = 18; j = g + 4; a = o + 15; c = w + 4; o = j + 7; w = r + 1; g = x + 20; k = b + 5; q = d + 4; d = k + 8; n = r + 18; x = n + 10. If r = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 11", "c": "h + 2", "k": "c + 6", "a": "k + 1", "v": "a + 4", "n": "v + 11", "t": "r + 8", "d": "t + 1", "s": "d + 20", "f": "s + 16", "j": "f + 12", "e": "j + 11", "r": 1}, "premises": {"r": 1}, "target": "n"}, "answer": {"steps": [["h", "r + 11", 12], ["c", "h + 2", 14], ["k", "c + 6", 20], ["a", "k + 1", 21], ["v", "a + 4", 25], ["n", "v + 11", 36]], "target_var_name": "n", "target_value": 36, "value_dict": {"r": 1, "h": 12, "c": 14, "k": 20, "a": 21, "v": 25, "n": 36}, "is_reverse": false}} | 510 | 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; r = 1; s = d + 20; j = f + 12; f = s + 16; t = r + 8; d = t + 1; a = k + 1; v = a + 4; k = c + 6; n = v + 11; h = r + 11; c = h + 2. If r = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = r + 11, which gives h = 12.\n2. Compute c using c = h + 2, which gives c = 14.\n3. Compute k using k = c + 6, which gives k = 20.\n4. Compute a using a = k + 1, which gives a = 21.\n5. Compute v using v = a + 4, which gives v = 25.\n6. Compute n using n = v + 11, which gives n = 36.\n\nThus, the final answer is n = \\boxed{36}.",
"index": 510,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 11; r = 1; s = d + 20; j = f + 12; f = s + 16; t = r + 8; d = t + 1; a = k + 1; v = a + 4; k = c + 6; n = v + 11; h = r + 11; c = h + 2. If r = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 8", "y": "t + 18", "p": "y + 18", "z": "p + 8", "x": "z + 14", "s": "x + 19", "e": "m + 13", "i": "e + 7", "a": "i + 12", "q": "a + 7", "j": "q + 17", "b": "j + 3", "m": 14}, "premises": {"m": 14}, "target": "s"}, "answer": {"steps": [["t", "m + 8", 22], ["y", "t + 18", 40], ["p", "y + 18", 58], ["z", "p + 8", 66], ["x", "z + 14", 80], ["s", "x + 19", 99]], "target_var_name": "s", "target_value": 99, "value_dict": {"m": 14, "t": 22, "y": 40, "p": 58, "z": 66, "x": 80, "s": 99}, "is_reverse": false}} | 511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 3; j = q + 17; i = e + 7; q = a + 7; s = x + 19; t = m + 8; y = t + 18; z = p + 8; p = y + 18; m = 14; e = m + 13; a = i + 12; x = z + 14. Given that m = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = m + 8, which gives t = 22.\n2. Compute y using y = t + 18, which gives y = 40.\n3. Compute p using p = y + 18, which gives p = 58.\n4. Compute z using z = p + 8, which gives z = 66.\n5. Compute x using x = z + 14, which gives x = 80.\n6. Compute s using s = x + 19, which gives s = 99.\n\nThus, the final answer is s = \\boxed{99}.",
"index": 511,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 3; j = q + 17; i = e + 7; q = a + 7; s = x + 19; t = m + 8; y = t + 18; z = p + 8; p = y + 18; m = 14; e = m + 13; a = i + 12; x = z + 14. Given that m = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 7", "m": "v + 3", "h": "m + 3", "u": "h + 6", "t": "u + 20", "e": "t + 15", "x": "y + 14", "k": "x + 14", "a": "k + 16", "g": "a + 15", "f": "g + 14", "c": "f + 10", "y": 7}, "premises": {"y": 7}, "target": "e"}, "answer": {"steps": [["v", "y + 7", 14], ["m", "v + 3", 17], ["h", "m + 3", 20], ["u", "h + 6", 26], ["t", "u + 20", 46], ["e", "t + 15", 61]], "target_var_name": "e", "target_value": 61, "value_dict": {"y": 7, "v": 14, "m": 17, "h": 20, "u": 26, "t": 46, "e": 61}, "is_reverse": false}} | 512 | 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 = x + 14; e = t + 15; x = y + 14; g = a + 15; t = u + 20; m = v + 3; h = m + 3; a = k + 16; c = f + 10; u = h + 6; f = g + 14; y = 7; v = y + 7. If y = 7, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = y + 7, which gives v = 14.\n2. Compute m using m = v + 3, which gives m = 17.\n3. Compute h using h = m + 3, which gives h = 20.\n4. Compute u using u = h + 6, which gives u = 26.\n5. Compute t using t = u + 20, which gives t = 46.\n6. Compute e using e = t + 15, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 512,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 14; e = t + 15; x = y + 14; g = a + 15; t = u + 20; m = v + 3; h = m + 3; a = k + 16; c = f + 10; u = h + 6; f = g + 14; y = 7; v = y + 7. If y = 7, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 7", "c": "o + 18", "e": "c + 2", "h": "e + 8", "m": "h + 16", "w": "m + 18", "p": "x + 16", "b": "p + 4", "v": "b + 15", "r": "v + 15", "k": "r + 16", "t": "k + 8", "x": 6}, "premises": {"x": 6}, "target": "w"}, "answer": {"steps": [["o", "x + 7", 13], ["c", "o + 18", 31], ["e", "c + 2", 33], ["h", "e + 8", 41], ["m", "h + 16", 57], ["w", "m + 18", 75]], "target_var_name": "w", "target_value": 75, "value_dict": {"x": 6, "o": 13, "c": 31, "e": 33, "h": 41, "m": 57, "w": 75}, "is_reverse": false}} | 513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 15; h = e + 8; m = h + 16; p = x + 16; o = x + 7; x = 6; k = r + 16; v = b + 15; b = p + 4; w = m + 18; e = c + 2; c = o + 18; t = k + 8. If x = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = x + 7, which gives o = 13.\n2. Compute c using c = o + 18, which gives c = 31.\n3. Compute e using e = c + 2, which gives e = 33.\n4. Compute h using h = e + 8, which gives h = 41.\n5. Compute m using m = h + 16, which gives m = 57.\n6. Compute w using w = m + 18, which gives w = 75.\n\nThus, the final answer is w = \\boxed{75}.",
"index": 513,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 15; h = e + 8; m = h + 16; p = x + 16; o = x + 7; x = 6; k = r + 16; v = b + 15; b = p + 4; w = m + 18; e = c + 2; c = o + 18; t = k + 8. If x = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 17", "t": "k + 9", "o": "t + 8", "l": "o + 6", "f": "l + 3", "y": "f + 12", "j": "r + 7", "q": "j + 16", "m": "q + 7", "g": "m + 1", "d": "g + 5", "h": "d + 18", "r": 13}, "premises": {"r": 13}, "target": "y"}, "answer": {"steps": [["k", "r + 17", 30], ["t", "k + 9", 39], ["o", "t + 8", 47], ["l", "o + 6", 53], ["f", "l + 3", 56], ["y", "f + 12", 68]], "target_var_name": "y", "target_value": 68, "value_dict": {"r": 13, "k": 30, "t": 39, "o": 47, "l": 53, "f": 56, "y": 68}, "is_reverse": false}} | 514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 3; q = j + 16; o = t + 8; g = m + 1; d = g + 5; y = f + 12; t = k + 9; r = 13; k = r + 17; l = o + 6; h = d + 18; j = r + 7; m = q + 7. If r = 13, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = r + 17, which gives k = 30.\n2. Compute t using t = k + 9, which gives t = 39.\n3. Compute o using o = t + 8, which gives o = 47.\n4. Compute l using l = o + 6, which gives l = 53.\n5. Compute f using f = l + 3, which gives f = 56.\n6. Compute y using y = f + 12, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = l + 3; q = j + 16; o = t + 8; g = m + 1; d = g + 5; y = f + 12; t = k + 9; r = 13; k = r + 17; l = o + 6; h = d + 18; j = r + 7; m = q + 7. If r = 13, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 4", "m": "j + 20", "y": "m + 8", "a": "y + 18", "l": "a + 2", "v": "l + 9", "t": "q + 7", "w": "t + 9", "i": "w + 1", "e": "i + 15", "k": "e + 7", "b": "k + 15", "q": 19}, "premises": {"q": 19}, "target": "v"}, "answer": {"steps": [["j", "q + 4", 23], ["m", "j + 20", 43], ["y", "m + 8", 51], ["a", "y + 18", 69], ["l", "a + 2", 71], ["v", "l + 9", 80]], "target_var_name": "v", "target_value": 80, "value_dict": {"q": 19, "j": 23, "m": 43, "y": 51, "a": 69, "l": 71, "v": 80}, "is_reverse": false}} | 515 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 7; m = j + 20; q = 19; e = i + 15; b = k + 15; y = m + 8; l = a + 2; i = w + 1; w = t + 9; a = y + 18; j = q + 4; t = q + 7; v = l + 9. If q = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = q + 4, which gives j = 23.\n2. Compute m using m = j + 20, which gives m = 43.\n3. Compute y using y = m + 8, which gives y = 51.\n4. Compute a using a = y + 18, which gives a = 69.\n5. Compute l using l = a + 2, which gives l = 71.\n6. Compute v using v = l + 9, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 7; m = j + 20; q = 19; e = i + 15; b = k + 15; y = m + 8; l = a + 2; i = w + 1; w = t + 9; a = y + 18; j = q + 4; t = q + 7; v = l + 9. If q = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "x + 6", "v": "d + 4", "m": "v + 7", "i": "m + 5", "t": "i + 9", "s": "t + 20", "b": "x + 5", "u": "b + 10", "f": "u + 10", "p": "f + 15", "r": "p + 7", "a": "r + 6", "x": 6}, "premises": {"x": 6}, "target": "s"}, "answer": {"steps": [["d", "x + 6", 12], ["v", "d + 4", 16], ["m", "v + 7", 23], ["i", "m + 5", 28], ["t", "i + 9", 37], ["s", "t + 20", 57]], "target_var_name": "s", "target_value": 57, "value_dict": {"x": 6, "d": 12, "v": 16, "m": 23, "i": 28, "t": 37, "s": 57}, "is_reverse": false}} | 516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 5; x = 6; i = m + 5; t = i + 9; d = x + 6; u = b + 10; m = v + 7; s = t + 20; a = r + 6; p = f + 15; v = d + 4; r = p + 7; f = u + 10. If x = 6, 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. Compute d using d = x + 6, which gives d = 12.\n2. Compute v using v = d + 4, which gives v = 16.\n3. Compute m using m = v + 7, which gives m = 23.\n4. Compute i using i = m + 5, which gives i = 28.\n5. Compute t using t = i + 9, which gives t = 37.\n6. Compute s using s = t + 20, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 516,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 5; x = 6; i = m + 5; t = i + 9; d = x + 6; u = b + 10; m = v + 7; s = t + 20; a = r + 6; p = f + 15; v = d + 4; r = p + 7; f = u + 10. If x = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 1", "q": "z + 2", "s": "q + 12", "c": "s + 6", "w": "c + 9", "b": "w + 10", "v": "y + 14", "f": "v + 1", "d": "f + 11", "k": "d + 8", "t": "k + 20", "i": "t + 2", "y": 6}, "premises": {"y": 6}, "target": "b"}, "answer": {"steps": [["z", "y + 1", 7], ["q", "z + 2", 9], ["s", "q + 12", 21], ["c", "s + 6", 27], ["w", "c + 9", 36], ["b", "w + 10", 46]], "target_var_name": "b", "target_value": 46, "value_dict": {"y": 6, "z": 7, "q": 9, "s": 21, "c": 27, "w": 36, "b": 46}, "is_reverse": false}} | 517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 9; i = t + 2; q = z + 2; s = q + 12; v = y + 14; t = k + 20; k = d + 8; f = v + 1; y = 6; b = w + 10; d = f + 11; z = y + 1; c = s + 6. If y = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = y + 1, which gives z = 7.\n2. Compute q using q = z + 2, which gives q = 9.\n3. Compute s using s = q + 12, which gives s = 21.\n4. Compute c using c = s + 6, which gives c = 27.\n5. Compute w using w = c + 9, which gives w = 36.\n6. Compute b using b = w + 10, which gives b = 46.\n\nThus, the final answer is b = \\boxed{46}.",
"index": 517,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 9; i = t + 2; q = z + 2; s = q + 12; v = y + 14; t = k + 20; k = d + 8; f = v + 1; y = 6; b = w + 10; d = f + 11; z = y + 1; c = s + 6. If y = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 18", "u": "f + 6", "v": "u + 5", "q": "v + 16", "j": "q + 20", "a": "j + 17", "d": "k + 11", "e": "d + 15", "c": "e + 6", "w": "c + 7", "g": "w + 1", "r": "g + 13", "k": 5}, "premises": {"k": 5}, "target": "a"}, "answer": {"steps": [["f", "k + 18", 23], ["u", "f + 6", 29], ["v", "u + 5", 34], ["q", "v + 16", 50], ["j", "q + 20", 70], ["a", "j + 17", 87]], "target_var_name": "a", "target_value": 87, "value_dict": {"k": 5, "f": 23, "u": 29, "v": 34, "q": 50, "j": 70, "a": 87}, "is_reverse": false}} | 518 | 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 = 5; f = k + 18; j = q + 20; c = e + 6; q = v + 16; e = d + 15; g = w + 1; w = c + 7; a = j + 17; u = f + 6; r = g + 13; v = u + 5; d = k + 11. If k = 5, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = k + 18, which gives f = 23.\n2. Compute u using u = f + 6, which gives u = 29.\n3. Compute v using v = u + 5, which gives v = 34.\n4. Compute q using q = v + 16, which gives q = 50.\n5. Compute j using j = q + 20, which gives j = 70.\n6. Compute a using a = j + 17, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 518,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 5; f = k + 18; j = q + 20; c = e + 6; q = v + 16; e = d + 15; g = w + 1; w = c + 7; a = j + 17; u = f + 6; r = g + 13; v = u + 5; d = k + 11. If k = 5, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 1", "v": "m + 3", "a": "v + 19", "b": "a + 18", "q": "b + 6", "g": "q + 1", "c": "e + 6", "j": "c + 9", "s": "j + 16", "n": "s + 19", "r": "n + 5", "t": "r + 10", "e": 17}, "premises": {"e": 17}, "target": "g"}, "answer": {"steps": [["m", "e + 1", 18], ["v", "m + 3", 21], ["a", "v + 19", 40], ["b", "a + 18", 58], ["q", "b + 6", 64], ["g", "q + 1", 65]], "target_var_name": "g", "target_value": 65, "value_dict": {"e": 17, "m": 18, "v": 21, "a": 40, "b": 58, "q": 64, "g": 65}, "is_reverse": false}} | 519 | 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 = n + 5; b = a + 18; g = q + 1; s = j + 16; q = b + 6; c = e + 6; n = s + 19; m = e + 1; v = m + 3; e = 17; t = r + 10; a = v + 19; j = c + 9. If e = 17, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = e + 1, which gives m = 18.\n2. Compute v using v = m + 3, which gives v = 21.\n3. Compute a using a = v + 19, which gives a = 40.\n4. Compute b using b = a + 18, which gives b = 58.\n5. Compute q using q = b + 6, which gives q = 64.\n6. Compute g using g = q + 1, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 519,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 5; b = a + 18; g = q + 1; s = j + 16; q = b + 6; c = e + 6; n = s + 19; m = e + 1; v = m + 3; e = 17; t = r + 10; a = v + 19; j = c + 9. If e = 17, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 13", "x": "d + 1", "s": "x + 19", "z": "s + 10", "l": "z + 10", "r": "l + 4", "a": "q + 8", "u": "a + 15", "t": "u + 12", "m": "t + 16", "y": "m + 17", "h": "y + 13", "q": 17}, "premises": {"q": 17}, "target": "r"}, "answer": {"steps": [["d", "q + 13", 30], ["x", "d + 1", 31], ["s", "x + 19", 50], ["z", "s + 10", 60], ["l", "z + 10", 70], ["r", "l + 4", 74]], "target_var_name": "r", "target_value": 74, "value_dict": {"q": 17, "d": 30, "x": 31, "s": 50, "z": 60, "l": 70, "r": 74}, "is_reverse": false}} | 520 | 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 = s + 10; l = z + 10; x = d + 1; s = x + 19; a = q + 8; m = t + 16; d = q + 13; t = u + 12; h = y + 13; q = 17; r = l + 4; y = m + 17; u = a + 15. If q = 17, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = q + 13, which gives d = 30.\n2. Compute x using x = d + 1, which gives x = 31.\n3. Compute s using s = x + 19, which gives s = 50.\n4. Compute z using z = s + 10, which gives z = 60.\n5. Compute l using l = z + 10, which gives l = 70.\n6. Compute r using r = l + 4, which gives r = 74.\n\nThus, the final answer is r = \\boxed{74}.",
"index": 520,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 10; l = z + 10; x = d + 1; s = x + 19; a = q + 8; m = t + 16; d = q + 13; t = u + 12; h = y + 13; q = 17; r = l + 4; y = m + 17; u = a + 15. If q = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 14", "b": "c + 14", "r": "b + 3", "a": "r + 5", "q": "a + 18", "g": "q + 9", "k": "z + 8", "v": "k + 10", "i": "v + 20", "f": "i + 7", "y": "f + 11", "n": "y + 18", "z": 14}, "premises": {"z": 14}, "target": "g"}, "answer": {"steps": [["c", "z + 14", 28], ["b", "c + 14", 42], ["r", "b + 3", 45], ["a", "r + 5", 50], ["q", "a + 18", 68], ["g", "q + 9", 77]], "target_var_name": "g", "target_value": 77, "value_dict": {"z": 14, "c": 28, "b": 42, "r": 45, "a": 50, "q": 68, "g": 77}, "is_reverse": false}} | 521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 5; z = 14; k = z + 8; c = z + 14; i = v + 20; n = y + 18; b = c + 14; r = b + 3; y = f + 11; q = a + 18; f = i + 7; g = q + 9; v = k + 10. Given that z = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = z + 14, which gives c = 28.\n2. Compute b using b = c + 14, which gives b = 42.\n3. Compute r using r = b + 3, which gives r = 45.\n4. Compute a using a = r + 5, which gives a = 50.\n5. Compute q using q = a + 18, which gives q = 68.\n6. Compute g using g = q + 9, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 521,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 5; z = 14; k = z + 8; c = z + 14; i = v + 20; n = y + 18; b = c + 14; r = b + 3; y = f + 11; q = a + 18; f = i + 7; g = q + 9; v = k + 10. Given that z = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 8", "r": "y + 10", "u": "r + 7", "b": "u + 11", "i": "b + 16", "z": "i + 12", "x": "c + 14", "d": "x + 1", "o": "d + 15", "a": "o + 5", "k": "a + 2", "s": "k + 7", "c": 7}, "premises": {"c": 7}, "target": "z"}, "answer": {"steps": [["y", "c + 8", 15], ["r", "y + 10", 25], ["u", "r + 7", 32], ["b", "u + 11", 43], ["i", "b + 16", 59], ["z", "i + 12", 71]], "target_var_name": "z", "target_value": 71, "value_dict": {"c": 7, "y": 15, "r": 25, "u": 32, "b": 43, "i": 59, "z": 71}, "is_reverse": false}} | 522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = i + 12; i = b + 16; c = 7; u = r + 7; b = u + 11; y = c + 8; k = a + 2; a = o + 5; o = d + 15; r = y + 10; d = x + 1; x = c + 14; s = k + 7. If c = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = c + 8, which gives y = 15.\n2. Compute r using r = y + 10, which gives r = 25.\n3. Compute u using u = r + 7, which gives u = 32.\n4. Compute b using b = u + 11, which gives b = 43.\n5. Compute i using i = b + 16, which gives i = 59.\n6. Compute z using z = i + 12, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 522,
"question": "Consider a system of variables where each variable is defined as follows: z = i + 12; i = b + 16; c = 7; u = r + 7; b = u + 11; y = c + 8; k = a + 2; a = o + 5; o = d + 15; r = y + 10; d = x + 1; x = c + 14; s = k + 7. If c = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 8", "c": "m + 8", "z": "c + 15", "k": "z + 11", "g": "k + 3", "w": "g + 17", "d": "u + 6", "a": "d + 12", "l": "a + 14", "e": "l + 9", "b": "e + 17", "y": "b + 7", "u": 20}, "premises": {"u": 20}, "target": "w"}, "answer": {"steps": [["m", "u + 8", 28], ["c", "m + 8", 36], ["z", "c + 15", 51], ["k", "z + 11", 62], ["g", "k + 3", 65], ["w", "g + 17", 82]], "target_var_name": "w", "target_value": 82, "value_dict": {"u": 20, "m": 28, "c": 36, "z": 51, "k": 62, "g": 65, "w": 82}, "is_reverse": false}} | 523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 9; y = b + 7; b = e + 17; m = u + 8; u = 20; c = m + 8; a = d + 12; l = a + 14; d = u + 6; k = z + 11; z = c + 15; w = g + 17; g = k + 3. If u = 20, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = u + 8, which gives m = 28.\n2. Compute c using c = m + 8, which gives c = 36.\n3. Compute z using z = c + 15, which gives z = 51.\n4. Compute k using k = z + 11, which gives k = 62.\n5. Compute g using g = k + 3, which gives g = 65.\n6. Compute w using w = g + 17, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 523,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 9; y = b + 7; b = e + 17; m = u + 8; u = 20; c = m + 8; a = d + 12; l = a + 14; d = u + 6; k = z + 11; z = c + 15; w = g + 17; g = k + 3. If u = 20, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "j + 15", "q": "m + 1", "y": "q + 10", "n": "y + 16", "i": "n + 20", "c": "i + 3", "x": "j + 3", "o": "x + 5", "u": "o + 1", "h": "u + 12", "a": "h + 14", "k": "a + 5", "j": 12}, "premises": {"j": 12}, "target": "c"}, "answer": {"steps": [["m", "j + 15", 27], ["q", "m + 1", 28], ["y", "q + 10", 38], ["n", "y + 16", 54], ["i", "n + 20", 74], ["c", "i + 3", 77]], "target_var_name": "c", "target_value": 77, "value_dict": {"j": 12, "m": 27, "q": 28, "y": 38, "n": 54, "i": 74, "c": 77}, "is_reverse": false}} | 524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = h + 14; y = q + 10; m = j + 15; o = x + 5; i = n + 20; j = 12; c = i + 3; h = u + 12; x = j + 3; q = m + 1; n = y + 16; u = o + 1; k = a + 5. If j = 12, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = j + 15, which gives m = 27.\n2. Compute q using q = m + 1, which gives q = 28.\n3. Compute y using y = q + 10, which gives y = 38.\n4. Compute n using n = y + 16, which gives n = 54.\n5. Compute i using i = n + 20, which gives i = 74.\n6. Compute c using c = i + 3, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 524,
"question": "Consider a system of variables where each variable is defined as follows: a = h + 14; y = q + 10; m = j + 15; o = x + 5; i = n + 20; j = 12; c = i + 3; h = u + 12; x = j + 3; q = m + 1; n = y + 16; u = o + 1; k = a + 5. If j = 12, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 1", "k": "u + 5", "f": "k + 7", "m": "f + 7", "q": "m + 15", "z": "q + 7", "h": "d + 15", "x": "h + 20", "s": "x + 3", "l": "s + 15", "o": "l + 9", "j": "o + 4", "d": 16}, "premises": {"d": 16}, "target": "z"}, "answer": {"steps": [["u", "d + 1", 17], ["k", "u + 5", 22], ["f", "k + 7", 29], ["m", "f + 7", 36], ["q", "m + 15", 51], ["z", "q + 7", 58]], "target_var_name": "z", "target_value": 58, "value_dict": {"d": 16, "u": 17, "k": 22, "f": 29, "m": 36, "q": 51, "z": 58}, "is_reverse": false}} | 525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 16; x = h + 20; k = u + 5; m = f + 7; s = x + 3; z = q + 7; q = m + 15; o = l + 9; l = s + 15; f = k + 7; h = d + 15; j = o + 4; u = d + 1. Given that d = 16, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = d + 1, which gives u = 17.\n2. Compute k using k = u + 5, which gives k = 22.\n3. Compute f using f = k + 7, which gives f = 29.\n4. Compute m using m = f + 7, which gives m = 36.\n5. Compute q using q = m + 15, which gives q = 51.\n6. Compute z using z = q + 7, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 525,
"question": "Suppose a collection of variables is related by the following definitions: d = 16; x = h + 20; k = u + 5; m = f + 7; s = x + 3; z = q + 7; q = m + 15; o = l + 9; l = s + 15; f = k + 7; h = d + 15; j = o + 4; u = d + 1. Given that d = 16, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 17", "c": "m + 18", "k": "c + 10", "u": "k + 16", "o": "u + 3", "r": "o + 5", "w": "f + 19", "d": "w + 11", "a": "d + 16", "s": "a + 2", "h": "s + 10", "y": "h + 18", "f": 16}, "premises": {"f": 16}, "target": "r"}, "answer": {"steps": [["m", "f + 17", 33], ["c", "m + 18", 51], ["k", "c + 10", 61], ["u", "k + 16", 77], ["o", "u + 3", 80], ["r", "o + 5", 85]], "target_var_name": "r", "target_value": 85, "value_dict": {"f": 16, "m": 33, "c": 51, "k": 61, "u": 77, "o": 80, "r": 85}, "is_reverse": false}} | 526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = h + 18; r = o + 5; c = m + 18; m = f + 17; d = w + 11; u = k + 16; o = u + 3; k = c + 10; w = f + 19; a = d + 16; s = a + 2; h = s + 10; f = 16. Given that f = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = f + 17, which gives m = 33.\n2. Compute c using c = m + 18, which gives c = 51.\n3. Compute k using k = c + 10, which gives k = 61.\n4. Compute u using u = k + 16, which gives u = 77.\n5. Compute o using o = u + 3, which gives o = 80.\n6. Compute r using r = o + 5, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 526,
"question": "Suppose a collection of variables is related by the following definitions: y = h + 18; r = o + 5; c = m + 18; m = f + 17; d = w + 11; u = k + 16; o = u + 3; k = c + 10; w = f + 19; a = d + 16; s = a + 2; h = s + 10; f = 16. Given that f = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 6", "w": "i + 3", "n": "w + 3", "z": "n + 15", "h": "z + 14", "u": "h + 4", "b": "e + 16", "x": "b + 10", "l": "x + 2", "q": "l + 13", "v": "q + 8", "y": "v + 9", "e": 9}, "premises": {"e": 9}, "target": "u"}, "answer": {"steps": [["i", "e + 6", 15], ["w", "i + 3", 18], ["n", "w + 3", 21], ["z", "n + 15", 36], ["h", "z + 14", 50], ["u", "h + 4", 54]], "target_var_name": "u", "target_value": 54, "value_dict": {"e": 9, "i": 15, "w": 18, "n": 21, "z": 36, "h": 50, "u": 54}, "is_reverse": false}} | 527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 2; z = n + 15; n = w + 3; q = l + 13; w = i + 3; y = v + 9; x = b + 10; v = q + 8; e = 9; u = h + 4; i = e + 6; b = e + 16; h = z + 14. If e = 9, what is the resulting 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. Compute i using i = e + 6, which gives i = 15.\n2. Compute w using w = i + 3, which gives w = 18.\n3. Compute n using n = w + 3, which gives n = 21.\n4. Compute z using z = n + 15, which gives z = 36.\n5. Compute h using h = z + 14, which gives h = 50.\n6. Compute u using u = h + 4, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 2; z = n + 15; n = w + 3; q = l + 13; w = i + 3; y = v + 9; x = b + 10; v = q + 8; e = 9; u = h + 4; i = e + 6; b = e + 16; h = z + 14. If e = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 3", "s": "j + 5", "q": "s + 19", "n": "q + 20", "e": "n + 7", "k": "e + 1", "l": "x + 12", "i": "l + 16", "w": "i + 12", "d": "w + 13", "u": "d + 16", "b": "u + 11", "x": 7}, "premises": {"x": 7}, "target": "k"}, "answer": {"steps": [["j", "x + 3", 10], ["s", "j + 5", 15], ["q", "s + 19", 34], ["n", "q + 20", 54], ["e", "n + 7", 61], ["k", "e + 1", 62]], "target_var_name": "k", "target_value": 62, "value_dict": {"x": 7, "j": 10, "s": 15, "q": 34, "n": 54, "e": 61, "k": 62}, "is_reverse": false}} | 528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 3; k = e + 1; s = j + 5; b = u + 11; d = w + 13; i = l + 16; l = x + 12; x = 7; n = q + 20; q = s + 19; e = n + 7; w = i + 12; u = d + 16. Given that x = 7, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = x + 3, which gives j = 10.\n2. Compute s using s = j + 5, which gives s = 15.\n3. Compute q using q = s + 19, which gives q = 34.\n4. Compute n using n = q + 20, which gives n = 54.\n5. Compute e using e = n + 7, which gives e = 61.\n6. Compute k using k = e + 1, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 528,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 3; k = e + 1; s = j + 5; b = u + 11; d = w + 13; i = l + 16; l = x + 12; x = 7; n = q + 20; q = s + 19; e = n + 7; w = i + 12; u = d + 16. Given that x = 7, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 15", "i": "e + 3", "k": "i + 15", "h": "k + 6", "s": "h + 18", "x": "s + 5", "n": "a + 12", "t": "n + 19", "b": "t + 13", "o": "b + 13", "g": "o + 5", "w": "g + 13", "a": 19}, "premises": {"a": 19}, "target": "x"}, "answer": {"steps": [["e", "a + 15", 34], ["i", "e + 3", 37], ["k", "i + 15", 52], ["h", "k + 6", 58], ["s", "h + 18", 76], ["x", "s + 5", 81]], "target_var_name": "x", "target_value": 81, "value_dict": {"a": 19, "e": 34, "i": 37, "k": 52, "h": 58, "s": 76, "x": 81}, "is_reverse": false}} | 529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 12; h = k + 6; x = s + 5; b = t + 13; e = a + 15; t = n + 19; s = h + 18; g = o + 5; i = e + 3; k = i + 15; o = b + 13; w = g + 13; a = 19. Given that a = 19, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = a + 15, which gives e = 34.\n2. Compute i using i = e + 3, which gives i = 37.\n3. Compute k using k = i + 15, which gives k = 52.\n4. Compute h using h = k + 6, which gives h = 58.\n5. Compute s using s = h + 18, which gives s = 76.\n6. Compute x using x = s + 5, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 529,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 12; h = k + 6; x = s + 5; b = t + 13; e = a + 15; t = n + 19; s = h + 18; g = o + 5; i = e + 3; k = i + 15; o = b + 13; w = g + 13; a = 19. Given that a = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 3", "u": "v + 2", "y": "u + 18", "m": "y + 5", "c": "m + 1", "l": "c + 17", "e": "h + 18", "j": "e + 9", "t": "j + 12", "a": "t + 1", "b": "a + 2", "d": "b + 14", "h": 18}, "premises": {"h": 18}, "target": "l"}, "answer": {"steps": [["v", "h + 3", 21], ["u", "v + 2", 23], ["y", "u + 18", 41], ["m", "y + 5", 46], ["c", "m + 1", 47], ["l", "c + 17", 64]], "target_var_name": "l", "target_value": 64, "value_dict": {"h": 18, "v": 21, "u": 23, "y": 41, "m": 46, "c": 47, "l": 64}, "is_reverse": false}} | 530 | 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 = u + 18; t = j + 12; j = e + 9; h = 18; e = h + 18; a = t + 1; u = v + 2; m = y + 5; b = a + 2; v = h + 3; d = b + 14; l = c + 17; c = m + 1. If h = 18, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = h + 3, which gives v = 21.\n2. Compute u using u = v + 2, which gives u = 23.\n3. Compute y using y = u + 18, which gives y = 41.\n4. Compute m using m = y + 5, which gives m = 46.\n5. Compute c using c = m + 1, which gives c = 47.\n6. Compute l using l = c + 17, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 530,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 18; t = j + 12; j = e + 9; h = 18; e = h + 18; a = t + 1; u = v + 2; m = y + 5; b = a + 2; v = h + 3; d = b + 14; l = c + 17; c = m + 1. If h = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 8", "y": "r + 6", "i": "y + 14", "f": "i + 8", "a": "f + 15", "b": "a + 17", "j": "o + 4", "q": "j + 1", "t": "q + 8", "h": "t + 11", "p": "h + 19", "c": "p + 17", "o": 14}, "premises": {"o": 14}, "target": "b"}, "answer": {"steps": [["r", "o + 8", 22], ["y", "r + 6", 28], ["i", "y + 14", 42], ["f", "i + 8", 50], ["a", "f + 15", 65], ["b", "a + 17", 82]], "target_var_name": "b", "target_value": 82, "value_dict": {"o": 14, "r": 22, "y": 28, "i": 42, "f": 50, "a": 65, "b": 82}, "is_reverse": false}} | 531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 4; h = t + 11; p = h + 19; a = f + 15; y = r + 6; q = j + 1; r = o + 8; c = p + 17; b = a + 17; f = i + 8; i = y + 14; t = q + 8; o = 14. Given that o = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = o + 8, which gives r = 22.\n2. Compute y using y = r + 6, which gives y = 28.\n3. Compute i using i = y + 14, which gives i = 42.\n4. Compute f using f = i + 8, which gives f = 50.\n5. Compute a using a = f + 15, which gives a = 65.\n6. Compute b using b = a + 17, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 531,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 4; h = t + 11; p = h + 19; a = f + 15; y = r + 6; q = j + 1; r = o + 8; c = p + 17; b = a + 17; f = i + 8; i = y + 14; t = q + 8; o = 14. Given that o = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 1", "y": "l + 5", "u": "y + 2", "b": "u + 15", "x": "b + 9", "a": "x + 6", "d": "s + 18", "j": "d + 11", "r": "j + 1", "n": "r + 4", "o": "n + 19", "g": "o + 3", "s": 11}, "premises": {"s": 11}, "target": "a"}, "answer": {"steps": [["l", "s + 1", 12], ["y", "l + 5", 17], ["u", "y + 2", 19], ["b", "u + 15", 34], ["x", "b + 9", 43], ["a", "x + 6", 49]], "target_var_name": "a", "target_value": 49, "value_dict": {"s": 11, "l": 12, "y": 17, "u": 19, "b": 34, "x": 43, "a": 49}, "is_reverse": false}} | 532 | 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 = l + 5; b = u + 15; r = j + 1; j = d + 11; n = r + 4; a = x + 6; u = y + 2; s = 11; g = o + 3; x = b + 9; d = s + 18; l = s + 1; o = n + 19. If s = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = s + 1, which gives l = 12.\n2. Compute y using y = l + 5, which gives y = 17.\n3. Compute u using u = y + 2, which gives u = 19.\n4. Compute b using b = u + 15, which gives b = 34.\n5. Compute x using x = b + 9, which gives x = 43.\n6. Compute a using a = x + 6, which gives a = 49.\n\nThus, the final answer is a = \\boxed{49}.",
"index": 532,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 5; b = u + 15; r = j + 1; j = d + 11; n = r + 4; a = x + 6; u = y + 2; s = 11; g = o + 3; x = b + 9; d = s + 18; l = s + 1; o = n + 19. If s = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 20", "c": "n + 14", "a": "c + 8", "w": "a + 6", "x": "w + 11", "l": "x + 14", "o": "g + 14", "r": "o + 15", "e": "r + 20", "d": "e + 8", "f": "d + 6", "b": "f + 8", "g": 17}, "premises": {"g": 17}, "target": "l"}, "answer": {"steps": [["n", "g + 20", 37], ["c", "n + 14", 51], ["a", "c + 8", 59], ["w", "a + 6", 65], ["x", "w + 11", 76], ["l", "x + 14", 90]], "target_var_name": "l", "target_value": 90, "value_dict": {"g": 17, "n": 37, "c": 51, "a": 59, "w": 65, "x": 76, "l": 90}, "is_reverse": false}} | 533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = 17; c = n + 14; l = x + 14; r = o + 15; o = g + 14; a = c + 8; x = w + 11; b = f + 8; e = r + 20; d = e + 8; f = d + 6; w = a + 6; n = g + 20. If g = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = g + 20, which gives n = 37.\n2. Compute c using c = n + 14, which gives c = 51.\n3. Compute a using a = c + 8, which gives a = 59.\n4. Compute w using w = a + 6, which gives w = 65.\n5. Compute x using x = w + 11, which gives x = 76.\n6. Compute l using l = x + 14, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 533,
"question": "Consider a system of variables where each variable is defined as follows: g = 17; c = n + 14; l = x + 14; r = o + 15; o = g + 14; a = c + 8; x = w + 11; b = f + 8; e = r + 20; d = e + 8; f = d + 6; w = a + 6; n = g + 20. If g = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 4", "g": "b + 6", "h": "g + 11", "e": "h + 10", "k": "e + 8", "q": "k + 19", "j": "c + 10", "u": "j + 8", "l": "u + 2", "r": "l + 10", "a": "r + 14", "y": "a + 5", "c": 9}, "premises": {"c": 9}, "target": "q"}, "answer": {"steps": [["b", "c + 4", 13], ["g", "b + 6", 19], ["h", "g + 11", 30], ["e", "h + 10", 40], ["k", "e + 8", 48], ["q", "k + 19", 67]], "target_var_name": "q", "target_value": 67, "value_dict": {"c": 9, "b": 13, "g": 19, "h": 30, "e": 40, "k": 48, "q": 67}, "is_reverse": false}} | 534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = l + 10; q = k + 19; u = j + 8; y = a + 5; g = b + 6; a = r + 14; c = 9; l = u + 2; e = h + 10; j = c + 10; b = c + 4; h = g + 11; k = e + 8. Given that c = 9, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = c + 4, which gives b = 13.\n2. Compute g using g = b + 6, which gives g = 19.\n3. Compute h using h = g + 11, which gives h = 30.\n4. Compute e using e = h + 10, which gives e = 40.\n5. Compute k using k = e + 8, which gives k = 48.\n6. Compute q using q = k + 19, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 534,
"question": "Suppose a collection of variables is related by the following definitions: r = l + 10; q = k + 19; u = j + 8; y = a + 5; g = b + 6; a = r + 14; c = 9; l = u + 2; e = h + 10; j = c + 10; b = c + 4; h = g + 11; k = e + 8. Given that c = 9, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 9", "v": "r + 10", "q": "v + 2", "c": "q + 6", "o": "c + 15", "m": "o + 17", "x": "a + 2", "f": "x + 4", "s": "f + 12", "i": "s + 4", "h": "i + 19", "k": "h + 14", "a": 2}, "premises": {"a": 2}, "target": "m"}, "answer": {"steps": [["r", "a + 9", 11], ["v", "r + 10", 21], ["q", "v + 2", 23], ["c", "q + 6", 29], ["o", "c + 15", 44], ["m", "o + 17", 61]], "target_var_name": "m", "target_value": 61, "value_dict": {"a": 2, "r": 11, "v": 21, "q": 23, "c": 29, "o": 44, "m": 61}, "is_reverse": false}} | 535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 2; a = 2; q = v + 2; o = c + 15; c = q + 6; v = r + 10; r = a + 9; s = f + 12; h = i + 19; k = h + 14; i = s + 4; m = o + 17; f = x + 4. Given that a = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = a + 9, which gives r = 11.\n2. Compute v using v = r + 10, which gives v = 21.\n3. Compute q using q = v + 2, which gives q = 23.\n4. Compute c using c = q + 6, which gives c = 29.\n5. Compute o using o = c + 15, which gives o = 44.\n6. Compute m using m = o + 17, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 535,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 2; a = 2; q = v + 2; o = c + 15; c = q + 6; v = r + 10; r = a + 9; s = f + 12; h = i + 19; k = h + 14; i = s + 4; m = o + 17; f = x + 4. Given that a = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 8", "v": "x + 14", "m": "v + 7", "y": "m + 7", "s": "y + 9", "q": "s + 6", "u": "i + 14", "n": "u + 3", "h": "n + 4", "r": "h + 4", "w": "r + 19", "b": "w + 9", "i": 3}, "premises": {"i": 3}, "target": "q"}, "answer": {"steps": [["x", "i + 8", 11], ["v", "x + 14", 25], ["m", "v + 7", 32], ["y", "m + 7", 39], ["s", "y + 9", 48], ["q", "s + 6", 54]], "target_var_name": "q", "target_value": 54, "value_dict": {"i": 3, "x": 11, "v": 25, "m": 32, "y": 39, "s": 48, "q": 54}, "is_reverse": false}} | 536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 3; r = h + 4; s = y + 9; b = w + 9; h = n + 4; w = r + 19; n = u + 3; x = i + 8; v = x + 14; m = v + 7; y = m + 7; q = s + 6; u = i + 14. If i = 3, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = i + 8, which gives x = 11.\n2. Compute v using v = x + 14, which gives v = 25.\n3. Compute m using m = v + 7, which gives m = 32.\n4. Compute y using y = m + 7, which gives y = 39.\n5. Compute s using s = y + 9, which gives s = 48.\n6. Compute q using q = s + 6, which gives q = 54.\n\nThus, the final answer is q = \\boxed{54}.",
"index": 536,
"question": "Consider a system of variables where each variable is defined as follows: i = 3; r = h + 4; s = y + 9; b = w + 9; h = n + 4; w = r + 19; n = u + 3; x = i + 8; v = x + 14; m = v + 7; y = m + 7; q = s + 6; u = i + 14. If i = 3, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 5", "a": "d + 18", "w": "a + 18", "n": "w + 17", "x": "n + 9", "r": "x + 15", "t": "v + 6", "g": "t + 9", "i": "g + 17", "c": "i + 14", "h": "c + 10", "l": "h + 16", "v": 10}, "premises": {"v": 10}, "target": "r"}, "answer": {"steps": [["d", "v + 5", 15], ["a", "d + 18", 33], ["w", "a + 18", 51], ["n", "w + 17", 68], ["x", "n + 9", 77], ["r", "x + 15", 92]], "target_var_name": "r", "target_value": 92, "value_dict": {"v": 10, "d": 15, "a": 33, "w": 51, "n": 68, "x": 77, "r": 92}, "is_reverse": false}} | 537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = i + 14; w = a + 18; i = g + 17; n = w + 17; g = t + 9; v = 10; a = d + 18; x = n + 9; d = v + 5; r = x + 15; h = c + 10; t = v + 6; l = h + 16. If v = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = v + 5, which gives d = 15.\n2. Compute a using a = d + 18, which gives a = 33.\n3. Compute w using w = a + 18, which gives w = 51.\n4. Compute n using n = w + 17, which gives n = 68.\n5. Compute x using x = n + 9, which gives x = 77.\n6. Compute r using r = x + 15, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 537,
"question": "Consider a system of variables where each variable is defined as follows: c = i + 14; w = a + 18; i = g + 17; n = w + 17; g = t + 9; v = 10; a = d + 18; x = n + 9; d = v + 5; r = x + 15; h = c + 10; t = v + 6; l = h + 16. If v = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 20", "v": "f + 9", "j": "v + 19", "l": "j + 14", "n": "l + 2", "o": "n + 9", "m": "p + 3", "x": "m + 17", "y": "x + 12", "g": "y + 16", "t": "g + 18", "q": "t + 3", "p": 11}, "premises": {"p": 11}, "target": "o"}, "answer": {"steps": [["f", "p + 20", 31], ["v", "f + 9", 40], ["j", "v + 19", 59], ["l", "j + 14", 73], ["n", "l + 2", 75], ["o", "n + 9", 84]], "target_var_name": "o", "target_value": 84, "value_dict": {"p": 11, "f": 31, "v": 40, "j": 59, "l": 73, "n": 75, "o": 84}, "is_reverse": false}} | 538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = j + 14; q = t + 3; p = 11; m = p + 3; g = y + 16; v = f + 9; x = m + 17; f = p + 20; j = v + 19; t = g + 18; o = n + 9; y = x + 12; n = l + 2. If p = 11, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = p + 20, which gives f = 31.\n2. Compute v using v = f + 9, which gives v = 40.\n3. Compute j using j = v + 19, which gives j = 59.\n4. Compute l using l = j + 14, which gives l = 73.\n5. Compute n using n = l + 2, which gives n = 75.\n6. Compute o using o = n + 9, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 538,
"question": "Consider a system of variables where each variable is defined as follows: l = j + 14; q = t + 3; p = 11; m = p + 3; g = y + 16; v = f + 9; x = m + 17; f = p + 20; j = v + 19; t = g + 18; o = n + 9; y = x + 12; n = l + 2. If p = 11, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 3", "u": "g + 14", "l": "u + 10", "y": "l + 12", "p": "y + 13", "t": "p + 16", "k": "x + 1", "q": "k + 13", "i": "q + 6", "a": "i + 9", "c": "a + 12", "w": "c + 16", "x": 4}, "premises": {"x": 4}, "target": "t"}, "answer": {"steps": [["g", "x + 3", 7], ["u", "g + 14", 21], ["l", "u + 10", 31], ["y", "l + 12", 43], ["p", "y + 13", 56], ["t", "p + 16", 72]], "target_var_name": "t", "target_value": 72, "value_dict": {"x": 4, "g": 7, "u": 21, "l": 31, "y": 43, "p": 56, "t": 72}, "is_reverse": false}} | 539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 10; k = x + 1; x = 4; y = l + 12; g = x + 3; p = y + 13; t = p + 16; i = q + 6; a = i + 9; q = k + 13; w = c + 16; u = g + 14; c = a + 12. If x = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = x + 3, which gives g = 7.\n2. Compute u using u = g + 14, which gives u = 21.\n3. Compute l using l = u + 10, which gives l = 31.\n4. Compute y using y = l + 12, which gives y = 43.\n5. Compute p using p = y + 13, which gives p = 56.\n6. Compute t using t = p + 16, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 539,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 10; k = x + 1; x = 4; y = l + 12; g = x + 3; p = y + 13; t = p + 16; i = q + 6; a = i + 9; q = k + 13; w = c + 16; u = g + 14; c = a + 12. If x = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 14", "c": "r + 19", "a": "c + 19", "u": "a + 10", "b": "u + 17", "k": "b + 20", "g": "h + 10", "t": "g + 6", "f": "t + 18", "n": "f + 20", "m": "n + 11", "w": "m + 15", "h": 15}, "premises": {"h": 15}, "target": "k"}, "answer": {"steps": [["r", "h + 14", 29], ["c", "r + 19", 48], ["a", "c + 19", 67], ["u", "a + 10", 77], ["b", "u + 17", 94], ["k", "b + 20", 114]], "target_var_name": "k", "target_value": 114, "value_dict": {"h": 15, "r": 29, "c": 48, "a": 67, "u": 77, "b": 94, "k": 114}, "is_reverse": false}} | 540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 14; t = g + 6; a = c + 19; m = n + 11; g = h + 10; u = a + 10; c = r + 19; h = 15; n = f + 20; w = m + 15; k = b + 20; f = t + 18; b = u + 17. If h = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 114,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = h + 14, which gives r = 29.\n2. Compute c using c = r + 19, which gives c = 48.\n3. Compute a using a = c + 19, which gives a = 67.\n4. Compute u using u = a + 10, which gives u = 77.\n5. Compute b using b = u + 17, which gives b = 94.\n6. Compute k using k = b + 20, which gives k = 114.\n\nThus, the final answer is k = \\boxed{114}.",
"index": 540,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 14; t = g + 6; a = c + 19; m = n + 11; g = h + 10; u = a + 10; c = r + 19; h = 15; n = f + 20; w = m + 15; k = b + 20; f = t + 18; b = u + 17. If h = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "y + 10", "a": "q + 6", "w": "a + 5", "f": "w + 6", "l": "f + 6", "u": "l + 15", "r": "y + 12", "v": "r + 10", "x": "v + 15", "c": "x + 16", "g": "c + 12", "o": "g + 4", "y": 13}, "premises": {"y": 13}, "target": "u"}, "answer": {"steps": [["q", "y + 10", 23], ["a", "q + 6", 29], ["w", "a + 5", 34], ["f", "w + 6", 40], ["l", "f + 6", 46], ["u", "l + 15", 61]], "target_var_name": "u", "target_value": 61, "value_dict": {"y": 13, "q": 23, "a": 29, "w": 34, "f": 40, "l": 46, "u": 61}, "is_reverse": false}} | 541 | 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 = a + 5; a = q + 6; v = r + 10; g = c + 12; f = w + 6; c = x + 16; u = l + 15; l = f + 6; q = y + 10; r = y + 12; x = v + 15; y = 13; o = g + 4. If y = 13, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = y + 10, which gives q = 23.\n2. Compute a using a = q + 6, which gives a = 29.\n3. Compute w using w = a + 5, which gives w = 34.\n4. Compute f using f = w + 6, which gives f = 40.\n5. Compute l using l = f + 6, which gives l = 46.\n6. Compute u using u = l + 15, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 541,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 5; a = q + 6; v = r + 10; g = c + 12; f = w + 6; c = x + 16; u = l + 15; l = f + 6; q = y + 10; r = y + 12; x = v + 15; y = 13; o = g + 4. If y = 13, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 4", "w": "z + 3", "o": "w + 16", "i": "o + 18", "n": "i + 17", "x": "n + 4", "m": "u + 20", "p": "m + 19", "t": "p + 2", "f": "t + 8", "j": "f + 7", "c": "j + 10", "u": 11}, "premises": {"u": 11}, "target": "x"}, "answer": {"steps": [["z", "u + 4", 15], ["w", "z + 3", 18], ["o", "w + 16", 34], ["i", "o + 18", 52], ["n", "i + 17", 69], ["x", "n + 4", 73]], "target_var_name": "x", "target_value": 73, "value_dict": {"u": 11, "z": 15, "w": 18, "o": 34, "i": 52, "n": 69, "x": 73}, "is_reverse": false}} | 542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 3; i = o + 18; f = t + 8; u = 11; n = i + 17; p = m + 19; c = j + 10; z = u + 4; m = u + 20; j = f + 7; x = n + 4; o = w + 16; t = p + 2. Given that u = 11, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = u + 4, which gives z = 15.\n2. Compute w using w = z + 3, which gives w = 18.\n3. Compute o using o = w + 16, which gives o = 34.\n4. Compute i using i = o + 18, which gives i = 52.\n5. Compute n using n = i + 17, which gives n = 69.\n6. Compute x using x = n + 4, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 542,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 3; i = o + 18; f = t + 8; u = 11; n = i + 17; p = m + 19; c = j + 10; z = u + 4; m = u + 20; j = f + 7; x = n + 4; o = w + 16; t = p + 2. Given that u = 11, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 1", "y": "r + 5", "e": "y + 12", "v": "e + 15", "h": "v + 18", "m": "h + 9", "i": "d + 11", "c": "i + 7", "p": "c + 18", "a": "p + 9", "x": "a + 8", "q": "x + 12", "d": 1}, "premises": {"d": 1}, "target": "m"}, "answer": {"steps": [["r", "d + 1", 2], ["y", "r + 5", 7], ["e", "y + 12", 19], ["v", "e + 15", 34], ["h", "v + 18", 52], ["m", "h + 9", 61]], "target_var_name": "m", "target_value": 61, "value_dict": {"d": 1, "r": 2, "y": 7, "e": 19, "v": 34, "h": 52, "m": 61}, "is_reverse": false}} | 543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = i + 7; d = 1; x = a + 8; h = v + 18; e = y + 12; v = e + 15; r = d + 1; m = h + 9; p = c + 18; y = r + 5; i = d + 11; q = x + 12; a = p + 9. If d = 1, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = d + 1, which gives r = 2.\n2. Compute y using y = r + 5, which gives y = 7.\n3. Compute e using e = y + 12, which gives e = 19.\n4. Compute v using v = e + 15, which gives v = 34.\n5. Compute h using h = v + 18, which gives h = 52.\n6. Compute m using m = h + 9, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 543,
"question": "Consider a system of variables where each variable is defined as follows: c = i + 7; d = 1; x = a + 8; h = v + 18; e = y + 12; v = e + 15; r = d + 1; m = h + 9; p = c + 18; y = r + 5; i = d + 11; q = x + 12; a = p + 9. If d = 1, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "b + 3", "p": "c + 6", "g": "p + 19", "h": "g + 18", "d": "h + 3", "i": "d + 18", "v": "b + 6", "a": "v + 5", "n": "a + 11", "u": "n + 14", "m": "u + 2", "j": "m + 7", "b": 12}, "premises": {"b": 12}, "target": "i"}, "answer": {"steps": [["c", "b + 3", 15], ["p", "c + 6", 21], ["g", "p + 19", 40], ["h", "g + 18", 58], ["d", "h + 3", 61], ["i", "d + 18", 79]], "target_var_name": "i", "target_value": 79, "value_dict": {"b": 12, "c": 15, "p": 21, "g": 40, "h": 58, "d": 61, "i": 79}, "is_reverse": false}} | 544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = v + 5; g = p + 19; c = b + 3; p = c + 6; m = u + 2; b = 12; h = g + 18; u = n + 14; d = h + 3; v = b + 6; i = d + 18; j = m + 7; n = a + 11. If b = 12, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = b + 3, which gives c = 15.\n2. Compute p using p = c + 6, which gives p = 21.\n3. Compute g using g = p + 19, which gives g = 40.\n4. Compute h using h = g + 18, which gives h = 58.\n5. Compute d using d = h + 3, which gives d = 61.\n6. Compute i using i = d + 18, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 544,
"question": "Consider a system of variables where each variable is defined as follows: a = v + 5; g = p + 19; c = b + 3; p = c + 6; m = u + 2; b = 12; h = g + 18; u = n + 14; d = h + 3; v = b + 6; i = d + 18; j = m + 7; n = a + 11. If b = 12, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 11", "a": "q + 6", "c": "a + 10", "t": "c + 15", "b": "t + 19", "s": "b + 16", "e": "u + 3", "f": "e + 3", "v": "f + 1", "x": "v + 17", "h": "x + 5", "p": "h + 20", "u": 13}, "premises": {"u": 13}, "target": "s"}, "answer": {"steps": [["q", "u + 11", 24], ["a", "q + 6", 30], ["c", "a + 10", 40], ["t", "c + 15", 55], ["b", "t + 19", 74], ["s", "b + 16", 90]], "target_var_name": "s", "target_value": 90, "value_dict": {"u": 13, "q": 24, "a": 30, "c": 40, "t": 55, "b": 74, "s": 90}, "is_reverse": false}} | 545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 5; c = a + 10; v = f + 1; q = u + 11; a = q + 6; x = v + 17; u = 13; t = c + 15; s = b + 16; e = u + 3; f = e + 3; p = h + 20; b = t + 19. If u = 13, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = u + 11, which gives q = 24.\n2. Compute a using a = q + 6, which gives a = 30.\n3. Compute c using c = a + 10, which gives c = 40.\n4. Compute t using t = c + 15, which gives t = 55.\n5. Compute b using b = t + 19, which gives b = 74.\n6. Compute s using s = b + 16, which gives s = 90.\n\nThus, the final answer is s = \\boxed{90}.",
"index": 545,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = x + 5; c = a + 10; v = f + 1; q = u + 11; a = q + 6; x = v + 17; u = 13; t = c + 15; s = b + 16; e = u + 3; f = e + 3; p = h + 20; b = t + 19. If u = 13, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 18", "v": "k + 18", "u": "v + 12", "d": "u + 8", "g": "d + 15", "n": "g + 11", "b": "z + 3", "p": "b + 10", "r": "p + 6", "i": "r + 7", "h": "i + 15", "l": "h + 8", "z": 10}, "premises": {"z": 10}, "target": "n"}, "answer": {"steps": [["k", "z + 18", 28], ["v", "k + 18", 46], ["u", "v + 12", 58], ["d", "u + 8", 66], ["g", "d + 15", 81], ["n", "g + 11", 92]], "target_var_name": "n", "target_value": 92, "value_dict": {"z": 10, "k": 28, "v": 46, "u": 58, "d": 66, "g": 81, "n": 92}, "is_reverse": false}} | 546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = z + 18; g = d + 15; z = 10; u = v + 12; d = u + 8; r = p + 6; l = h + 8; n = g + 11; h = i + 15; b = z + 3; v = k + 18; p = b + 10; i = r + 7. Given that z = 10, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = z + 18, which gives k = 28.\n2. Compute v using v = k + 18, which gives v = 46.\n3. Compute u using u = v + 12, which gives u = 58.\n4. Compute d using d = u + 8, which gives d = 66.\n5. Compute g using g = d + 15, which gives g = 81.\n6. Compute n using n = g + 11, which gives n = 92.\n\nThus, the final answer is n = \\boxed{92}.",
"index": 546,
"question": "Suppose a collection of variables is related by the following definitions: k = z + 18; g = d + 15; z = 10; u = v + 12; d = u + 8; r = p + 6; l = h + 8; n = g + 11; h = i + 15; b = z + 3; v = k + 18; p = b + 10; i = r + 7. Given that z = 10, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 5", "c": "t + 14", "a": "c + 1", "k": "a + 6", "w": "k + 8", "g": "w + 4", "l": "d + 3", "y": "l + 5", "m": "y + 20", "r": "m + 8", "b": "r + 16", "v": "b + 3", "d": 14}, "premises": {"d": 14}, "target": "g"}, "answer": {"steps": [["t", "d + 5", 19], ["c", "t + 14", 33], ["a", "c + 1", 34], ["k", "a + 6", 40], ["w", "k + 8", 48], ["g", "w + 4", 52]], "target_var_name": "g", "target_value": 52, "value_dict": {"d": 14, "t": 19, "c": 33, "a": 34, "k": 40, "w": 48, "g": 52}, "is_reverse": false}} | 547 | 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 = k + 8; d = 14; t = d + 5; v = b + 3; b = r + 16; k = a + 6; l = d + 3; a = c + 1; y = l + 5; c = t + 14; r = m + 8; m = y + 20; g = w + 4. If d = 14, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = d + 5, which gives t = 19.\n2. Compute c using c = t + 14, which gives c = 33.\n3. Compute a using a = c + 1, which gives a = 34.\n4. Compute k using k = a + 6, which gives k = 40.\n5. Compute w using w = k + 8, which gives w = 48.\n6. Compute g using g = w + 4, which gives g = 52.\n\nThus, the final answer is g = \\boxed{52}.",
"index": 547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 8; d = 14; t = d + 5; v = b + 3; b = r + 16; k = a + 6; l = d + 3; a = c + 1; y = l + 5; c = t + 14; r = m + 8; m = y + 20; g = w + 4. If d = 14, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 1", "t": "i + 8", "x": "t + 3", "e": "x + 9", "h": "e + 8", "u": "h + 13", "z": "l + 4", "j": "z + 15", "c": "j + 8", "f": "c + 14", "m": "f + 16", "s": "m + 19", "l": 2}, "premises": {"l": 2}, "target": "u"}, "answer": {"steps": [["i", "l + 1", 3], ["t", "i + 8", 11], ["x", "t + 3", 14], ["e", "x + 9", 23], ["h", "e + 8", 31], ["u", "h + 13", 44]], "target_var_name": "u", "target_value": 44, "value_dict": {"l": 2, "i": 3, "t": 11, "x": 14, "e": 23, "h": 31, "u": 44}, "is_reverse": false}} | 548 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 15; i = l + 1; u = h + 13; t = i + 8; s = m + 19; l = 2; e = x + 9; x = t + 3; z = l + 4; c = j + 8; m = f + 16; f = c + 14; h = e + 8. If l = 2, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = l + 1, which gives i = 3.\n2. Compute t using t = i + 8, which gives t = 11.\n3. Compute x using x = t + 3, which gives x = 14.\n4. Compute e using e = x + 9, which gives e = 23.\n5. Compute h using h = e + 8, which gives h = 31.\n6. Compute u using u = h + 13, which gives u = 44.\n\nThus, the final answer is u = \\boxed{44}.",
"index": 548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = z + 15; i = l + 1; u = h + 13; t = i + 8; s = m + 19; l = 2; e = x + 9; x = t + 3; z = l + 4; c = j + 8; m = f + 16; f = c + 14; h = e + 8. If l = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 14", "q": "p + 7", "t": "q + 11", "h": "t + 18", "i": "h + 9", "c": "i + 6", "s": "x + 19", "a": "s + 10", "v": "a + 16", "y": "v + 2", "u": "y + 4", "d": "u + 16", "x": 3}, "premises": {"x": 3}, "target": "c"}, "answer": {"steps": [["p", "x + 14", 17], ["q", "p + 7", 24], ["t", "q + 11", 35], ["h", "t + 18", 53], ["i", "h + 9", 62], ["c", "i + 6", 68]], "target_var_name": "c", "target_value": 68, "value_dict": {"x": 3, "p": 17, "q": 24, "t": 35, "h": 53, "i": 62, "c": 68}, "is_reverse": false}} | 549 | 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 = x + 19; q = p + 7; t = q + 11; u = y + 4; y = v + 2; i = h + 9; v = a + 16; p = x + 14; c = i + 6; d = u + 16; x = 3; a = s + 10; h = t + 18. If x = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = x + 14, which gives p = 17.\n2. Compute q using q = p + 7, which gives q = 24.\n3. Compute t using t = q + 11, which gives t = 35.\n4. Compute h using h = t + 18, which gives h = 53.\n5. Compute i using i = h + 9, which gives i = 62.\n6. Compute c using c = i + 6, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 549,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = x + 19; q = p + 7; t = q + 11; u = y + 4; y = v + 2; i = h + 9; v = a + 16; p = x + 14; c = i + 6; d = u + 16; x = 3; a = s + 10; h = t + 18. If x = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 20", "k": "y + 17", "w": "k + 12", "q": "w + 3", "g": "q + 16", "a": "g + 4", "o": "j + 17", "c": "o + 12", "f": "c + 11", "u": "f + 15", "i": "u + 20", "t": "i + 1", "j": 4}, "premises": {"j": 4}, "target": "a"}, "answer": {"steps": [["y", "j + 20", 24], ["k", "y + 17", 41], ["w", "k + 12", 53], ["q", "w + 3", 56], ["g", "q + 16", 72], ["a", "g + 4", 76]], "target_var_name": "a", "target_value": 76, "value_dict": {"j": 4, "y": 24, "k": 41, "w": 53, "q": 56, "g": 72, "a": 76}, "is_reverse": false}} | 550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = k + 12; k = y + 17; t = i + 1; y = j + 20; o = j + 17; a = g + 4; g = q + 16; j = 4; q = w + 3; u = f + 15; c = o + 12; i = u + 20; f = c + 11. Given that j = 4, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = j + 20, which gives y = 24.\n2. Compute k using k = y + 17, which gives k = 41.\n3. Compute w using w = k + 12, which gives w = 53.\n4. Compute q using q = w + 3, which gives q = 56.\n5. Compute g using g = q + 16, which gives g = 72.\n6. Compute a using a = g + 4, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 550,
"question": "Suppose a collection of variables is related by the following definitions: w = k + 12; k = y + 17; t = i + 1; y = j + 20; o = j + 17; a = g + 4; g = q + 16; j = 4; q = w + 3; u = f + 15; c = o + 12; i = u + 20; f = c + 11. Given that j = 4, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 17", "d": "b + 3", "w": "d + 20", "q": "w + 10", "s": "q + 9", "m": "s + 2", "u": "g + 12", "x": "u + 14", "z": "x + 9", "t": "z + 20", "l": "t + 15", "e": "l + 4", "g": 12}, "premises": {"g": 12}, "target": "m"}, "answer": {"steps": [["b", "g + 17", 29], ["d", "b + 3", 32], ["w", "d + 20", 52], ["q", "w + 10", 62], ["s", "q + 9", 71], ["m", "s + 2", 73]], "target_var_name": "m", "target_value": 73, "value_dict": {"g": 12, "b": 29, "d": 32, "w": 52, "q": 62, "s": 71, "m": 73}, "is_reverse": false}} | 551 | 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 = 12; b = g + 17; u = g + 12; w = d + 20; l = t + 15; s = q + 9; e = l + 4; z = x + 9; t = z + 20; m = s + 2; d = b + 3; x = u + 14; q = w + 10. If g = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = g + 17, which gives b = 29.\n2. Compute d using d = b + 3, which gives d = 32.\n3. Compute w using w = d + 20, which gives w = 52.\n4. Compute q using q = w + 10, which gives q = 62.\n5. Compute s using s = q + 9, which gives s = 71.\n6. Compute m using m = s + 2, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 551,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 12; b = g + 17; u = g + 12; w = d + 20; l = t + 15; s = q + 9; e = l + 4; z = x + 9; t = z + 20; m = s + 2; d = b + 3; x = u + 14; q = w + 10. If g = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 15", "b": "c + 11", "e": "b + 11", "g": "e + 2", "f": "g + 12", "m": "f + 9", "t": "o + 9", "i": "t + 14", "a": "i + 13", "w": "a + 12", "u": "w + 15", "j": "u + 3", "o": 5}, "premises": {"o": 5}, "target": "m"}, "answer": {"steps": [["c", "o + 15", 20], ["b", "c + 11", 31], ["e", "b + 11", 42], ["g", "e + 2", 44], ["f", "g + 12", 56], ["m", "f + 9", 65]], "target_var_name": "m", "target_value": 65, "value_dict": {"o": 5, "c": 20, "b": 31, "e": 42, "g": 44, "f": 56, "m": 65}, "is_reverse": false}} | 552 | 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 = f + 9; g = e + 2; c = o + 15; e = b + 11; b = c + 11; t = o + 9; j = u + 3; i = t + 14; w = a + 12; f = g + 12; o = 5; a = i + 13; u = w + 15. If o = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = o + 15, which gives c = 20.\n2. Compute b using b = c + 11, which gives b = 31.\n3. Compute e using e = b + 11, which gives e = 42.\n4. Compute g using g = e + 2, which gives g = 44.\n5. Compute f using f = g + 12, which gives f = 56.\n6. Compute m using m = f + 9, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 9; g = e + 2; c = o + 15; e = b + 11; b = c + 11; t = o + 9; j = u + 3; i = t + 14; w = a + 12; f = g + 12; o = 5; a = i + 13; u = w + 15. If o = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 20", "o": "v + 11", "d": "o + 2", "x": "d + 8", "y": "x + 4", "l": "y + 6", "r": "q + 17", "f": "r + 8", "t": "f + 7", "j": "t + 10", "n": "j + 1", "z": "n + 14", "q": 17}, "premises": {"q": 17}, "target": "l"}, "answer": {"steps": [["v", "q + 20", 37], ["o", "v + 11", 48], ["d", "o + 2", 50], ["x", "d + 8", 58], ["y", "x + 4", 62], ["l", "y + 6", 68]], "target_var_name": "l", "target_value": 68, "value_dict": {"q": 17, "v": 37, "o": 48, "d": 50, "x": 58, "y": 62, "l": 68}, "is_reverse": false}} | 553 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 20; n = j + 1; d = o + 2; j = t + 10; l = y + 6; t = f + 7; q = 17; o = v + 11; r = q + 17; y = x + 4; f = r + 8; z = n + 14; x = d + 8. If q = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = q + 20, which gives v = 37.\n2. Compute o using o = v + 11, which gives o = 48.\n3. Compute d using d = o + 2, which gives d = 50.\n4. Compute x using x = d + 8, which gives x = 58.\n5. Compute y using y = x + 4, which gives y = 62.\n6. Compute l using l = y + 6, which gives l = 68.\n\nThus, the final answer is l = \\boxed{68}.",
"index": 553,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 20; n = j + 1; d = o + 2; j = t + 10; l = y + 6; t = f + 7; q = 17; o = v + 11; r = q + 17; y = x + 4; f = r + 8; z = n + 14; x = d + 8. If q = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 1", "a": "l + 8", "z": "a + 17", "n": "z + 2", "r": "n + 7", "y": "r + 12", "o": "w + 6", "e": "o + 17", "j": "e + 3", "m": "j + 18", "q": "m + 2", "b": "q + 3", "w": 4}, "premises": {"w": 4}, "target": "y"}, "answer": {"steps": [["l", "w + 1", 5], ["a", "l + 8", 13], ["z", "a + 17", 30], ["n", "z + 2", 32], ["r", "n + 7", 39], ["y", "r + 12", 51]], "target_var_name": "y", "target_value": 51, "value_dict": {"w": 4, "l": 5, "a": 13, "z": 30, "n": 32, "r": 39, "y": 51}, "is_reverse": false}} | 554 | 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 + 18; e = o + 17; o = w + 6; r = n + 7; w = 4; n = z + 2; a = l + 8; b = q + 3; z = a + 17; l = w + 1; q = m + 2; j = e + 3; y = r + 12. If w = 4, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = w + 1, which gives l = 5.\n2. Compute a using a = l + 8, which gives a = 13.\n3. Compute z using z = a + 17, which gives z = 30.\n4. Compute n using n = z + 2, which gives n = 32.\n5. Compute r using r = n + 7, which gives r = 39.\n6. Compute y using y = r + 12, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 554,
"question": "Consider a system of variables where each variable is defined as follows: m = j + 18; e = o + 17; o = w + 6; r = n + 7; w = 4; n = z + 2; a = l + 8; b = q + 3; z = a + 17; l = w + 1; q = m + 2; j = e + 3; y = r + 12. If w = 4, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"f": "v + 20", "r": "f + 16", "x": "r + 18", "j": "x + 16", "i": "j + 7", "e": "i + 10", "c": "v + 9", "b": "c + 5", "n": "b + 7", "l": "n + 15", "s": "l + 1", "q": "s + 12", "v": 15}, "premises": {"v": 15}, "target": "e"}, "answer": {"steps": [["f", "v + 20", 35], ["r", "f + 16", 51], ["x", "r + 18", 69], ["j", "x + 16", 85], ["i", "j + 7", 92], ["e", "i + 10", 102]], "target_var_name": "e", "target_value": 102, "value_dict": {"v": 15, "f": 35, "r": 51, "x": 69, "j": 85, "i": 92, "e": 102}, "is_reverse": false}} | 555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = s + 12; i = j + 7; f = v + 20; s = l + 1; x = r + 18; l = n + 15; b = c + 5; j = x + 16; r = f + 16; c = v + 9; v = 15; n = b + 7; e = i + 10. Given that v = 15, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = v + 20, which gives f = 35.\n2. Compute r using r = f + 16, which gives r = 51.\n3. Compute x using x = r + 18, which gives x = 69.\n4. Compute j using j = x + 16, which gives j = 85.\n5. Compute i using i = j + 7, which gives i = 92.\n6. Compute e using e = i + 10, which gives e = 102.\n\nThus, the final answer is e = \\boxed{102}.",
"index": 555,
"question": "Suppose a collection of variables is related by the following definitions: q = s + 12; i = j + 7; f = v + 20; s = l + 1; x = r + 18; l = n + 15; b = c + 5; j = x + 16; r = f + 16; c = v + 9; v = 15; n = b + 7; e = i + 10. Given that v = 15, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 5", "x": "n + 15", "f": "x + 13", "a": "f + 17", "m": "a + 1", "y": "m + 15", "k": "c + 20", "p": "k + 16", "o": "p + 16", "u": "o + 8", "h": "u + 12", "t": "h + 15", "c": 9}, "premises": {"c": 9}, "target": "y"}, "answer": {"steps": [["n", "c + 5", 14], ["x", "n + 15", 29], ["f", "x + 13", 42], ["a", "f + 17", 59], ["m", "a + 1", 60], ["y", "m + 15", 75]], "target_var_name": "y", "target_value": 75, "value_dict": {"c": 9, "n": 14, "x": 29, "f": 42, "a": 59, "m": 60, "y": 75}, "is_reverse": false}} | 556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = m + 15; k = c + 20; u = o + 8; m = a + 1; a = f + 17; n = c + 5; p = k + 16; h = u + 12; x = n + 15; c = 9; t = h + 15; f = x + 13; o = p + 16. Given that c = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = c + 5, which gives n = 14.\n2. Compute x using x = n + 15, which gives x = 29.\n3. Compute f using f = x + 13, which gives f = 42.\n4. Compute a using a = f + 17, which gives a = 59.\n5. Compute m using m = a + 1, which gives m = 60.\n6. Compute y using y = m + 15, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 556,
"question": "Suppose a collection of variables is related by the following definitions: y = m + 15; k = c + 20; u = o + 8; m = a + 1; a = f + 17; n = c + 5; p = k + 16; h = u + 12; x = n + 15; c = 9; t = h + 15; f = x + 13; o = p + 16. Given that c = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 5", "l": "x + 6", "t": "l + 11", "z": "t + 6", "h": "z + 15", "k": "h + 2", "d": "m + 6", "u": "d + 13", "p": "u + 2", "v": "p + 9", "s": "v + 5", "q": "s + 8", "m": 20}, "premises": {"m": 20}, "target": "k"}, "answer": {"steps": [["x", "m + 5", 25], ["l", "x + 6", 31], ["t", "l + 11", 42], ["z", "t + 6", 48], ["h", "z + 15", 63], ["k", "h + 2", 65]], "target_var_name": "k", "target_value": 65, "value_dict": {"m": 20, "x": 25, "l": 31, "t": 42, "z": 48, "h": 63, "k": 65}, "is_reverse": false}} | 557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = t + 6; l = x + 6; s = v + 5; u = d + 13; m = 20; t = l + 11; h = z + 15; v = p + 9; x = m + 5; k = h + 2; q = s + 8; p = u + 2; d = m + 6. If m = 20, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = m + 5, which gives x = 25.\n2. Compute l using l = x + 6, which gives l = 31.\n3. Compute t using t = l + 11, which gives t = 42.\n4. Compute z using z = t + 6, which gives z = 48.\n5. Compute h using h = z + 15, which gives h = 63.\n6. Compute k using k = h + 2, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 557,
"question": "Consider a system of variables where each variable is defined as follows: z = t + 6; l = x + 6; s = v + 5; u = d + 13; m = 20; t = l + 11; h = z + 15; v = p + 9; x = m + 5; k = h + 2; q = s + 8; p = u + 2; d = m + 6. If m = 20, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "z + 20", "n": "d + 17", "k": "n + 19", "w": "k + 17", "y": "w + 18", "l": "y + 13", "u": "z + 15", "p": "u + 13", "m": "p + 10", "a": "m + 20", "f": "a + 9", "q": "f + 10", "z": 11}, "premises": {"z": 11}, "target": "l"}, "answer": {"steps": [["d", "z + 20", 31], ["n", "d + 17", 48], ["k", "n + 19", 67], ["w", "k + 17", 84], ["y", "w + 18", 102], ["l", "y + 13", 115]], "target_var_name": "l", "target_value": 115, "value_dict": {"z": 11, "d": 31, "n": 48, "k": 67, "w": 84, "y": 102, "l": 115}, "is_reverse": false}} | 558 | 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 = a + 9; l = y + 13; w = k + 17; d = z + 20; z = 11; p = u + 13; k = n + 19; m = p + 10; y = w + 18; u = z + 15; a = m + 20; n = d + 17; q = f + 10. If z = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 115,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = z + 20, which gives d = 31.\n2. Compute n using n = d + 17, which gives n = 48.\n3. Compute k using k = n + 19, which gives k = 67.\n4. Compute w using w = k + 17, which gives w = 84.\n5. Compute y using y = w + 18, which gives y = 102.\n6. Compute l using l = y + 13, which gives l = 115.\n\nThus, the final answer is l = \\boxed{115}.",
"index": 558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 9; l = y + 13; w = k + 17; d = z + 20; z = 11; p = u + 13; k = n + 19; m = p + 10; y = w + 18; u = z + 15; a = m + 20; n = d + 17; q = f + 10. If z = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 9", "l": "c + 17", "q": "l + 19", "z": "q + 9", "i": "z + 6", "e": "i + 4", "t": "x + 10", "f": "t + 10", "v": "f + 18", "u": "v + 11", "g": "u + 19", "d": "g + 9", "x": 19}, "premises": {"x": 19}, "target": "e"}, "answer": {"steps": [["c", "x + 9", 28], ["l", "c + 17", 45], ["q", "l + 19", 64], ["z", "q + 9", 73], ["i", "z + 6", 79], ["e", "i + 4", 83]], "target_var_name": "e", "target_value": 83, "value_dict": {"x": 19, "c": 28, "l": 45, "q": 64, "z": 73, "i": 79, "e": 83}, "is_reverse": false}} | 559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 10; v = f + 18; e = i + 4; g = u + 19; i = z + 6; d = g + 9; x = 19; f = t + 10; l = c + 17; z = q + 9; u = v + 11; q = l + 19; c = x + 9. Given that x = 19, find the 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. Compute c using c = x + 9, which gives c = 28.\n2. Compute l using l = c + 17, which gives l = 45.\n3. Compute q using q = l + 19, which gives q = 64.\n4. Compute z using z = q + 9, which gives z = 73.\n5. Compute i using i = z + 6, which gives i = 79.\n6. Compute e using e = i + 4, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 559,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 10; v = f + 18; e = i + 4; g = u + 19; i = z + 6; d = g + 9; x = 19; f = t + 10; l = c + 17; z = q + 9; u = v + 11; q = l + 19; c = x + 9. Given that x = 19, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 12", "i": "s + 9", "g": "i + 7", "k": "g + 8", "d": "k + 6", "n": "d + 2", "c": "m + 19", "u": "c + 16", "p": "u + 13", "w": "p + 6", "r": "w + 16", "x": "r + 5", "m": 3}, "premises": {"m": 3}, "target": "n"}, "answer": {"steps": [["s", "m + 12", 15], ["i", "s + 9", 24], ["g", "i + 7", 31], ["k", "g + 8", 39], ["d", "k + 6", 45], ["n", "d + 2", 47]], "target_var_name": "n", "target_value": 47, "value_dict": {"m": 3, "s": 15, "i": 24, "g": 31, "k": 39, "d": 45, "n": 47}, "is_reverse": false}} | 560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 9; c = m + 19; w = p + 6; d = k + 6; m = 3; g = i + 7; k = g + 8; n = d + 2; r = w + 16; u = c + 16; x = r + 5; p = u + 13; s = m + 12. If m = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = m + 12, which gives s = 15.\n2. Compute i using i = s + 9, which gives i = 24.\n3. Compute g using g = i + 7, which gives g = 31.\n4. Compute k using k = g + 8, which gives k = 39.\n5. Compute d using d = k + 6, which gives d = 45.\n6. Compute n using n = d + 2, which gives n = 47.\n\nThus, the final answer is n = \\boxed{47}.",
"index": 560,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 9; c = m + 19; w = p + 6; d = k + 6; m = 3; g = i + 7; k = g + 8; n = d + 2; r = w + 16; u = c + 16; x = r + 5; p = u + 13; s = m + 12. If m = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 9", "u": "s + 1", "m": "u + 16", "x": "m + 17", "i": "x + 5", "q": "i + 1", "r": "c + 2", "k": "r + 3", "v": "k + 1", "f": "v + 5", "t": "f + 7", "e": "t + 9", "c": 1}, "premises": {"c": 1}, "target": "q"}, "answer": {"steps": [["s", "c + 9", 10], ["u", "s + 1", 11], ["m", "u + 16", 27], ["x", "m + 17", 44], ["i", "x + 5", 49], ["q", "i + 1", 50]], "target_var_name": "q", "target_value": 50, "value_dict": {"c": 1, "s": 10, "u": 11, "m": 27, "x": 44, "i": 49, "q": 50}, "is_reverse": false}} | 561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = c + 2; m = u + 16; q = i + 1; f = v + 5; v = k + 1; c = 1; x = m + 17; k = r + 3; i = x + 5; s = c + 9; e = t + 9; u = s + 1; t = f + 7. If c = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = c + 9, which gives s = 10.\n2. Compute u using u = s + 1, which gives u = 11.\n3. Compute m using m = u + 16, which gives m = 27.\n4. Compute x using x = m + 17, which gives x = 44.\n5. Compute i using i = x + 5, which gives i = 49.\n6. Compute q using q = i + 1, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 561,
"question": "Consider a system of variables where each variable is defined as follows: r = c + 2; m = u + 16; q = i + 1; f = v + 5; v = k + 1; c = 1; x = m + 17; k = r + 3; i = x + 5; s = c + 9; e = t + 9; u = s + 1; t = f + 7. If c = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 2", "e": "n + 19", "y": "e + 5", "d": "y + 20", "a": "d + 4", "i": "a + 1", "p": "w + 17", "q": "p + 2", "l": "q + 14", "b": "l + 2", "x": "b + 14", "c": "x + 18", "w": 19}, "premises": {"w": 19}, "target": "i"}, "answer": {"steps": [["n", "w + 2", 21], ["e", "n + 19", 40], ["y", "e + 5", 45], ["d", "y + 20", 65], ["a", "d + 4", 69], ["i", "a + 1", 70]], "target_var_name": "i", "target_value": 70, "value_dict": {"w": 19, "n": 21, "e": 40, "y": 45, "d": 65, "a": 69, "i": 70}, "is_reverse": false}} | 562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 2; n = w + 2; c = x + 18; w = 19; e = n + 19; q = p + 2; a = d + 4; d = y + 20; i = a + 1; p = w + 17; x = b + 14; y = e + 5; l = q + 14. If w = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = w + 2, which gives n = 21.\n2. Compute e using e = n + 19, which gives e = 40.\n3. Compute y using y = e + 5, which gives y = 45.\n4. Compute d using d = y + 20, which gives d = 65.\n5. Compute a using a = d + 4, which gives a = 69.\n6. Compute i using i = a + 1, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 562,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 2; n = w + 2; c = x + 18; w = 19; e = n + 19; q = p + 2; a = d + 4; d = y + 20; i = a + 1; p = w + 17; x = b + 14; y = e + 5; l = q + 14. If w = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 18", "u": "c + 19", "p": "u + 10", "a": "p + 11", "r": "a + 14", "w": "r + 3", "m": "y + 15", "i": "m + 12", "j": "i + 20", "l": "j + 16", "k": "l + 15", "h": "k + 2", "y": 12}, "premises": {"y": 12}, "target": "w"}, "answer": {"steps": [["c", "y + 18", 30], ["u", "c + 19", 49], ["p", "u + 10", 59], ["a", "p + 11", 70], ["r", "a + 14", 84], ["w", "r + 3", 87]], "target_var_name": "w", "target_value": 87, "value_dict": {"y": 12, "c": 30, "u": 49, "p": 59, "a": 70, "r": 84, "w": 87}, "is_reverse": false}} | 563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = r + 3; k = l + 15; l = j + 16; c = y + 18; h = k + 2; m = y + 15; p = u + 10; u = c + 19; j = i + 20; a = p + 11; r = a + 14; i = m + 12; y = 12. If y = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 18, which gives c = 30.\n2. Compute u using u = c + 19, which gives u = 49.\n3. Compute p using p = u + 10, which gives p = 59.\n4. Compute a using a = p + 11, which gives a = 70.\n5. Compute r using r = a + 14, which gives r = 84.\n6. Compute w using w = r + 3, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 563,
"question": "Consider a system of variables where each variable is defined as follows: w = r + 3; k = l + 15; l = j + 16; c = y + 18; h = k + 2; m = y + 15; p = u + 10; u = c + 19; j = i + 20; a = p + 11; r = a + 14; i = m + 12; y = 12. If y = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 4", "j": "n + 11", "t": "j + 8", "d": "t + 2", "y": "d + 17", "i": "y + 11", "u": "e + 6", "p": "u + 15", "v": "p + 7", "z": "v + 10", "f": "z + 17", "a": "f + 12", "e": 4}, "premises": {"e": 4}, "target": "i"}, "answer": {"steps": [["n", "e + 4", 8], ["j", "n + 11", 19], ["t", "j + 8", 27], ["d", "t + 2", 29], ["y", "d + 17", 46], ["i", "y + 11", 57]], "target_var_name": "i", "target_value": 57, "value_dict": {"e": 4, "n": 8, "j": 19, "t": 27, "d": 29, "y": 46, "i": 57}, "is_reverse": false}} | 564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 17; v = p + 7; f = z + 17; p = u + 15; z = v + 10; e = 4; u = e + 6; d = t + 2; j = n + 11; t = j + 8; n = e + 4; i = y + 11; a = f + 12. If e = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = e + 4, which gives n = 8.\n2. Compute j using j = n + 11, which gives j = 19.\n3. Compute t using t = j + 8, which gives t = 27.\n4. Compute d using d = t + 2, which gives d = 29.\n5. Compute y using y = d + 17, which gives y = 46.\n6. Compute i using i = y + 11, which gives i = 57.\n\nThus, the final answer is i = \\boxed{57}.",
"index": 564,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 17; v = p + 7; f = z + 17; p = u + 15; z = v + 10; e = 4; u = e + 6; d = t + 2; j = n + 11; t = j + 8; n = e + 4; i = y + 11; a = f + 12. If e = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"l": "e + 2", "y": "l + 13", "r": "y + 19", "d": "r + 5", "n": "d + 4", "j": "n + 20", "f": "e + 2", "p": "f + 7", "c": "p + 3", "q": "c + 18", "m": "q + 15", "i": "m + 19", "e": 1}, "premises": {"e": 1}, "target": "j"}, "answer": {"steps": [["l", "e + 2", 3], ["y", "l + 13", 16], ["r", "y + 19", 35], ["d", "r + 5", 40], ["n", "d + 4", 44], ["j", "n + 20", 64]], "target_var_name": "j", "target_value": 64, "value_dict": {"e": 1, "l": 3, "y": 16, "r": 35, "d": 40, "n": 44, "j": 64}, "is_reverse": false}} | 565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 13; m = q + 15; i = m + 19; p = f + 7; n = d + 4; d = r + 5; e = 1; l = e + 2; c = p + 3; r = y + 19; f = e + 2; q = c + 18; j = n + 20. Given that e = 1, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = e + 2, which gives l = 3.\n2. Compute y using y = l + 13, which gives y = 16.\n3. Compute r using r = y + 19, which gives r = 35.\n4. Compute d using d = r + 5, which gives d = 40.\n5. Compute n using n = d + 4, which gives n = 44.\n6. Compute j using j = n + 20, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 565,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 13; m = q + 15; i = m + 19; p = f + 7; n = d + 4; d = r + 5; e = 1; l = e + 2; c = p + 3; r = y + 19; f = e + 2; q = c + 18; j = n + 20. Given that e = 1, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"c": "w + 6", "b": "c + 15", "n": "b + 5", "h": "n + 3", "j": "h + 19", "t": "j + 15", "i": "w + 14", "g": "i + 20", "k": "g + 20", "p": "k + 16", "z": "p + 20", "v": "z + 17", "w": 4}, "premises": {"w": 4}, "target": "t"}, "answer": {"steps": [["c", "w + 6", 10], ["b", "c + 15", 25], ["n", "b + 5", 30], ["h", "n + 3", 33], ["j", "h + 19", 52], ["t", "j + 15", 67]], "target_var_name": "t", "target_value": 67, "value_dict": {"w": 4, "c": 10, "b": 25, "n": 30, "h": 33, "j": 52, "t": 67}, "is_reverse": false}} | 566 | 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 = k + 16; k = g + 20; z = p + 20; c = w + 6; n = b + 5; i = w + 14; t = j + 15; v = z + 17; w = 4; h = n + 3; j = h + 19; b = c + 15; g = i + 20. If w = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = w + 6, which gives c = 10.\n2. Compute b using b = c + 15, which gives b = 25.\n3. Compute n using n = b + 5, which gives n = 30.\n4. Compute h using h = n + 3, which gives h = 33.\n5. Compute j using j = h + 19, which gives j = 52.\n6. Compute t using t = j + 15, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 566,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = k + 16; k = g + 20; z = p + 20; c = w + 6; n = b + 5; i = w + 14; t = j + 15; v = z + 17; w = 4; h = n + 3; j = h + 19; b = c + 15; g = i + 20. If w = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 2", "o": "s + 10", "t": "o + 14", "j": "t + 17", "p": "j + 17", "u": "p + 10", "n": "d + 12", "w": "n + 13", "f": "w + 10", "l": "f + 9", "e": "l + 3", "k": "e + 15", "d": 18}, "premises": {"d": 18}, "target": "u"}, "answer": {"steps": [["s", "d + 2", 20], ["o", "s + 10", 30], ["t", "o + 14", 44], ["j", "t + 17", 61], ["p", "j + 17", 78], ["u", "p + 10", 88]], "target_var_name": "u", "target_value": 88, "value_dict": {"d": 18, "s": 20, "o": 30, "t": 44, "j": 61, "p": 78, "u": 88}, "is_reverse": false}} | 567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 15; t = o + 14; o = s + 10; e = l + 3; u = p + 10; w = n + 13; f = w + 10; n = d + 12; l = f + 9; s = d + 2; p = j + 17; d = 18; j = t + 17. If d = 18, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = d + 2, which gives s = 20.\n2. Compute o using o = s + 10, which gives o = 30.\n3. Compute t using t = o + 14, which gives t = 44.\n4. Compute j using j = t + 17, which gives j = 61.\n5. Compute p using p = j + 17, which gives p = 78.\n6. Compute u using u = p + 10, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 567,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 15; t = o + 14; o = s + 10; e = l + 3; u = p + 10; w = n + 13; f = w + 10; n = d + 12; l = f + 9; s = d + 2; p = j + 17; d = 18; j = t + 17. If d = 18, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 19", "e": "l + 7", "k": "e + 19", "s": "k + 1", "o": "s + 9", "g": "o + 13", "w": "m + 9", "j": "w + 9", "d": "j + 5", "f": "d + 8", "r": "f + 18", "x": "r + 13", "m": 20}, "premises": {"m": 20}, "target": "g"}, "answer": {"steps": [["l", "m + 19", 39], ["e", "l + 7", 46], ["k", "e + 19", 65], ["s", "k + 1", 66], ["o", "s + 9", 75], ["g", "o + 13", 88]], "target_var_name": "g", "target_value": 88, "value_dict": {"m": 20, "l": 39, "e": 46, "k": 65, "s": 66, "o": 75, "g": 88}, "is_reverse": false}} | 568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 9; x = r + 13; l = m + 19; j = w + 9; m = 20; f = d + 8; g = o + 13; o = s + 9; k = e + 19; s = k + 1; r = f + 18; d = j + 5; e = l + 7. Given that m = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = m + 19, which gives l = 39.\n2. Compute e using e = l + 7, which gives e = 46.\n3. Compute k using k = e + 19, which gives k = 65.\n4. Compute s using s = k + 1, which gives s = 66.\n5. Compute o using o = s + 9, which gives o = 75.\n6. Compute g using g = o + 13, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 568,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 9; x = r + 13; l = m + 19; j = w + 9; m = 20; f = d + 8; g = o + 13; o = s + 9; k = e + 19; s = k + 1; r = f + 18; d = j + 5; e = l + 7. Given that m = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 4", "a": "p + 9", "z": "a + 6", "g": "z + 16", "k": "g + 9", "l": "k + 20", "o": "v + 9", "d": "o + 7", "q": "d + 17", "u": "q + 12", "x": "u + 17", "c": "x + 3", "v": 11}, "premises": {"v": 11}, "target": "l"}, "answer": {"steps": [["p", "v + 4", 15], ["a", "p + 9", 24], ["z", "a + 6", 30], ["g", "z + 16", 46], ["k", "g + 9", 55], ["l", "k + 20", 75]], "target_var_name": "l", "target_value": 75, "value_dict": {"v": 11, "p": 15, "a": 24, "z": 30, "g": 46, "k": 55, "l": 75}, "is_reverse": false}} | 569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 3; l = k + 20; d = o + 7; q = d + 17; g = z + 16; p = v + 4; a = p + 9; v = 11; z = a + 6; o = v + 9; x = u + 17; u = q + 12; k = g + 9. Given that v = 11, 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. Compute p using p = v + 4, which gives p = 15.\n2. Compute a using a = p + 9, which gives a = 24.\n3. Compute z using z = a + 6, which gives z = 30.\n4. Compute g using g = z + 16, which gives g = 46.\n5. Compute k using k = g + 9, which gives k = 55.\n6. Compute l using l = k + 20, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 569,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 3; l = k + 20; d = o + 7; q = d + 17; g = z + 16; p = v + 4; a = p + 9; v = 11; z = a + 6; o = v + 9; x = u + 17; u = q + 12; k = g + 9. Given that v = 11, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 18", "f": "d + 14", "l": "f + 8", "z": "l + 19", "y": "z + 8", "k": "y + 20", "v": "p + 10", "u": "v + 16", "m": "u + 5", "w": "m + 18", "r": "w + 15", "x": "r + 12", "p": 6}, "premises": {"p": 6}, "target": "k"}, "answer": {"steps": [["d", "p + 18", 24], ["f", "d + 14", 38], ["l", "f + 8", 46], ["z", "l + 19", 65], ["y", "z + 8", 73], ["k", "y + 20", 93]], "target_var_name": "k", "target_value": 93, "value_dict": {"p": 6, "d": 24, "f": 38, "l": 46, "z": 65, "y": 73, "k": 93}, "is_reverse": false}} | 570 | 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 + 16; y = z + 8; r = w + 15; k = y + 20; p = 6; v = p + 10; z = l + 19; w = m + 18; l = f + 8; f = d + 14; x = r + 12; d = p + 18; m = u + 5. If p = 6, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = p + 18, which gives d = 24.\n2. Compute f using f = d + 14, which gives f = 38.\n3. Compute l using l = f + 8, which gives l = 46.\n4. Compute z using z = l + 19, which gives z = 65.\n5. Compute y using y = z + 8, which gives y = 73.\n6. Compute k using k = y + 20, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 570,
"question": "Consider a system of variables where each variable is defined as follows: u = v + 16; y = z + 8; r = w + 15; k = y + 20; p = 6; v = p + 10; z = l + 19; w = m + 18; l = f + 8; f = d + 14; x = r + 12; d = p + 18; m = u + 5. If p = 6, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 1", "a": "z + 15", "v": "a + 16", "y": "v + 6", "c": "y + 10", "l": "c + 3", "r": "u + 18", "e": "r + 15", "w": "e + 3", "t": "w + 10", "n": "t + 2", "j": "n + 11", "u": 11}, "premises": {"u": 11}, "target": "l"}, "answer": {"steps": [["z", "u + 1", 12], ["a", "z + 15", 27], ["v", "a + 16", 43], ["y", "v + 6", 49], ["c", "y + 10", 59], ["l", "c + 3", 62]], "target_var_name": "l", "target_value": 62, "value_dict": {"u": 11, "z": 12, "a": 27, "v": 43, "y": 49, "c": 59, "l": 62}, "is_reverse": false}} | 571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 3; a = z + 15; v = a + 16; c = y + 10; t = w + 10; j = n + 11; r = u + 18; n = t + 2; w = e + 3; z = u + 1; u = 11; e = r + 15; y = v + 6. If u = 11, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = u + 1, which gives z = 12.\n2. Compute a using a = z + 15, which gives a = 27.\n3. Compute v using v = a + 16, which gives v = 43.\n4. Compute y using y = v + 6, which gives y = 49.\n5. Compute c using c = y + 10, which gives c = 59.\n6. Compute l using l = c + 3, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 571,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 3; a = z + 15; v = a + 16; c = y + 10; t = w + 10; j = n + 11; r = u + 18; n = t + 2; w = e + 3; z = u + 1; u = 11; e = r + 15; y = v + 6. If u = 11, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 10", "v": "z + 14", "r": "v + 8", "l": "r + 2", "u": "l + 8", "e": "u + 15", "i": "n + 18", "f": "i + 11", "p": "f + 5", "q": "p + 4", "x": "q + 7", "s": "x + 17", "n": 9}, "premises": {"n": 9}, "target": "e"}, "answer": {"steps": [["z", "n + 10", 19], ["v", "z + 14", 33], ["r", "v + 8", 41], ["l", "r + 2", 43], ["u", "l + 8", 51], ["e", "u + 15", 66]], "target_var_name": "e", "target_value": 66, "value_dict": {"n": 9, "z": 19, "v": 33, "r": 41, "l": 43, "u": 51, "e": 66}, "is_reverse": false}} | 572 | 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 = n + 10; n = 9; f = i + 11; x = q + 7; i = n + 18; s = x + 17; p = f + 5; e = u + 15; l = r + 2; r = v + 8; q = p + 4; u = l + 8; v = z + 14. If n = 9, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = n + 10, which gives z = 19.\n2. Compute v using v = z + 14, which gives v = 33.\n3. Compute r using r = v + 8, which gives r = 41.\n4. Compute l using l = r + 2, which gives l = 43.\n5. Compute u using u = l + 8, which gives u = 51.\n6. Compute e using e = u + 15, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 572,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 10; n = 9; f = i + 11; x = q + 7; i = n + 18; s = x + 17; p = f + 5; e = u + 15; l = r + 2; r = v + 8; q = p + 4; u = l + 8; v = z + 14. If n = 9, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 14", "l": "t + 5", "f": "l + 15", "d": "f + 18", "m": "d + 10", "y": "m + 7", "o": "z + 2", "s": "o + 15", "x": "s + 3", "a": "x + 11", "h": "a + 14", "p": "h + 10", "z": 7}, "premises": {"z": 7}, "target": "y"}, "answer": {"steps": [["t", "z + 14", 21], ["l", "t + 5", 26], ["f", "l + 15", 41], ["d", "f + 18", 59], ["m", "d + 10", 69], ["y", "m + 7", 76]], "target_var_name": "y", "target_value": 76, "value_dict": {"z": 7, "t": 21, "l": 26, "f": 41, "d": 59, "m": 69, "y": 76}, "is_reverse": false}} | 573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 7; l = t + 5; p = h + 10; d = f + 18; o = z + 2; s = o + 15; a = x + 11; y = m + 7; m = d + 10; x = s + 3; t = z + 14; h = a + 14; f = l + 15. Given that z = 7, find 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. Compute t using t = z + 14, which gives t = 21.\n2. Compute l using l = t + 5, which gives l = 26.\n3. Compute f using f = l + 15, which gives f = 41.\n4. Compute d using d = f + 18, which gives d = 59.\n5. Compute m using m = d + 10, which gives m = 69.\n6. Compute y using y = m + 7, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 573,
"question": "Suppose a collection of variables is related by the following definitions: z = 7; l = t + 5; p = h + 10; d = f + 18; o = z + 2; s = o + 15; a = x + 11; y = m + 7; m = d + 10; x = s + 3; t = z + 14; h = a + 14; f = l + 15. Given that z = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 10", "c": "y + 11", "n": "c + 19", "w": "n + 4", "a": "w + 5", "j": "a + 16", "p": "v + 4", "z": "p + 13", "f": "z + 5", "r": "f + 18", "h": "r + 9", "t": "h + 19", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["y", "v + 10", 12], ["c", "y + 11", 23], ["n", "c + 19", 42], ["w", "n + 4", 46], ["a", "w + 5", 51], ["j", "a + 16", 67]], "target_var_name": "j", "target_value": 67, "value_dict": {"v": 2, "y": 12, "c": 23, "n": 42, "w": 46, "a": 51, "j": 67}, "is_reverse": false}} | 574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = n + 4; j = a + 16; h = r + 9; y = v + 10; n = c + 19; v = 2; a = w + 5; z = p + 13; r = f + 18; c = y + 11; f = z + 5; t = h + 19; p = v + 4. If v = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = v + 10, which gives y = 12.\n2. Compute c using c = y + 11, which gives c = 23.\n3. Compute n using n = c + 19, which gives n = 42.\n4. Compute w using w = n + 4, which gives w = 46.\n5. Compute a using a = w + 5, which gives a = 51.\n6. Compute j using j = a + 16, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 574,
"question": "Consider a system of variables where each variable is defined as follows: w = n + 4; j = a + 16; h = r + 9; y = v + 10; n = c + 19; v = 2; a = w + 5; z = p + 13; r = f + 18; c = y + 11; f = z + 5; t = h + 19; p = v + 4. If v = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 4", "c": "u + 7", "x": "c + 6", "q": "x + 9", "p": "q + 14", "k": "p + 10", "y": "r + 14", "i": "y + 10", "l": "i + 19", "z": "l + 14", "t": "z + 7", "d": "t + 8", "r": 14}, "premises": {"r": 14}, "target": "k"}, "answer": {"steps": [["u", "r + 4", 18], ["c", "u + 7", 25], ["x", "c + 6", 31], ["q", "x + 9", 40], ["p", "q + 14", 54], ["k", "p + 10", 64]], "target_var_name": "k", "target_value": 64, "value_dict": {"r": 14, "u": 18, "c": 25, "x": 31, "q": 40, "p": 54, "k": 64}, "is_reverse": false}} | 575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 7; l = i + 19; i = y + 10; d = t + 8; r = 14; u = r + 4; k = p + 10; c = u + 7; x = c + 6; p = q + 14; y = r + 14; q = x + 9; z = l + 14. If r = 14, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = r + 4, which gives u = 18.\n2. Compute c using c = u + 7, which gives c = 25.\n3. Compute x using x = c + 6, which gives x = 31.\n4. Compute q using q = x + 9, which gives q = 40.\n5. Compute p using p = q + 14, which gives p = 54.\n6. Compute k using k = p + 10, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 575,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 7; l = i + 19; i = y + 10; d = t + 8; r = 14; u = r + 4; k = p + 10; c = u + 7; x = c + 6; p = q + 14; y = r + 14; q = x + 9; z = l + 14. If r = 14, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 9", "f": "x + 4", "d": "f + 18", "k": "d + 7", "n": "k + 19", "g": "n + 9", "w": "m + 1", "e": "w + 6", "v": "e + 8", "b": "v + 14", "u": "b + 17", "t": "u + 5", "m": 3}, "premises": {"m": 3}, "target": "g"}, "answer": {"steps": [["x", "m + 9", 12], ["f", "x + 4", 16], ["d", "f + 18", 34], ["k", "d + 7", 41], ["n", "k + 19", 60], ["g", "n + 9", 69]], "target_var_name": "g", "target_value": 69, "value_dict": {"m": 3, "x": 12, "f": 16, "d": 34, "k": 41, "n": 60, "g": 69}, "is_reverse": false}} | 576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 4; t = u + 5; k = d + 7; x = m + 9; m = 3; e = w + 6; n = k + 19; u = b + 17; w = m + 1; d = f + 18; v = e + 8; g = n + 9; b = v + 14. Given that m = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = m + 9, which gives x = 12.\n2. Compute f using f = x + 4, which gives f = 16.\n3. Compute d using d = f + 18, which gives d = 34.\n4. Compute k using k = d + 7, which gives k = 41.\n5. Compute n using n = k + 19, which gives n = 60.\n6. Compute g using g = n + 9, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 576,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 4; t = u + 5; k = d + 7; x = m + 9; m = 3; e = w + 6; n = k + 19; u = b + 17; w = m + 1; d = f + 18; v = e + 8; g = n + 9; b = v + 14. Given that m = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 13", "i": "x + 7", "p": "i + 7", "r": "p + 16", "y": "r + 15", "f": "y + 17", "q": "d + 12", "v": "q + 11", "m": "v + 6", "c": "m + 3", "l": "c + 14", "g": "l + 9", "d": 3}, "premises": {"d": 3}, "target": "f"}, "answer": {"steps": [["x", "d + 13", 16], ["i", "x + 7", 23], ["p", "i + 7", 30], ["r", "p + 16", 46], ["y", "r + 15", 61], ["f", "y + 17", 78]], "target_var_name": "f", "target_value": 78, "value_dict": {"d": 3, "x": 16, "i": 23, "p": 30, "r": 46, "y": 61, "f": 78}, "is_reverse": false}} | 577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 16; m = v + 6; l = c + 14; x = d + 13; q = d + 12; p = i + 7; d = 3; c = m + 3; g = l + 9; f = y + 17; v = q + 11; i = x + 7; y = r + 15. If d = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = d + 13, which gives x = 16.\n2. Compute i using i = x + 7, which gives i = 23.\n3. Compute p using p = i + 7, which gives p = 30.\n4. Compute r using r = p + 16, which gives r = 46.\n5. Compute y using y = r + 15, which gives y = 61.\n6. Compute f using f = y + 17, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 577,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 16; m = v + 6; l = c + 14; x = d + 13; q = d + 12; p = i + 7; d = 3; c = m + 3; g = l + 9; f = y + 17; v = q + 11; i = x + 7; y = r + 15. If d = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 19", "u": "k + 13", "p": "u + 11", "c": "p + 19", "b": "c + 2", "q": "b + 3", "a": "y + 18", "t": "a + 2", "r": "t + 18", "f": "r + 19", "e": "f + 5", "m": "e + 6", "y": 11}, "premises": {"y": 11}, "target": "q"}, "answer": {"steps": [["k", "y + 19", 30], ["u", "k + 13", 43], ["p", "u + 11", 54], ["c", "p + 19", 73], ["b", "c + 2", 75], ["q", "b + 3", 78]], "target_var_name": "q", "target_value": 78, "value_dict": {"y": 11, "k": 30, "u": 43, "p": 54, "c": 73, "b": 75, "q": 78}, "is_reverse": false}} | 578 | 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 = p + 19; y = 11; m = e + 6; u = k + 13; r = t + 18; p = u + 11; t = a + 2; q = b + 3; e = f + 5; b = c + 2; f = r + 19; a = y + 18; k = y + 19. If y = 11, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = y + 19, which gives k = 30.\n2. Compute u using u = k + 13, which gives u = 43.\n3. Compute p using p = u + 11, which gives p = 54.\n4. Compute c using c = p + 19, which gives c = 73.\n5. Compute b using b = c + 2, which gives b = 75.\n6. Compute q using q = b + 3, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 578,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = p + 19; y = 11; m = e + 6; u = k + 13; r = t + 18; p = u + 11; t = a + 2; q = b + 3; e = f + 5; b = c + 2; f = r + 19; a = y + 18; k = y + 19. If y = 11, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 4", "r": "d + 2", "k": "r + 14", "q": "k + 11", "i": "q + 20", "t": "i + 20", "b": "s + 13", "j": "b + 12", "u": "j + 4", "l": "u + 8", "w": "l + 5", "v": "w + 15", "s": 15}, "premises": {"s": 15}, "target": "t"}, "answer": {"steps": [["d", "s + 4", 19], ["r", "d + 2", 21], ["k", "r + 14", 35], ["q", "k + 11", 46], ["i", "q + 20", 66], ["t", "i + 20", 86]], "target_var_name": "t", "target_value": 86, "value_dict": {"s": 15, "d": 19, "r": 21, "k": 35, "q": 46, "i": 66, "t": 86}, "is_reverse": false}} | 579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 4; b = s + 13; i = q + 20; j = b + 12; q = k + 11; s = 15; d = s + 4; l = u + 8; t = i + 20; w = l + 5; k = r + 14; v = w + 15; r = d + 2. If s = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = s + 4, which gives d = 19.\n2. Compute r using r = d + 2, which gives r = 21.\n3. Compute k using k = r + 14, which gives k = 35.\n4. Compute q using q = k + 11, which gives q = 46.\n5. Compute i using i = q + 20, which gives i = 66.\n6. Compute t using t = i + 20, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 579,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 4; b = s + 13; i = q + 20; j = b + 12; q = k + 11; s = 15; d = s + 4; l = u + 8; t = i + 20; w = l + 5; k = r + 14; v = w + 15; r = d + 2. If s = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 12", "t": "r + 14", "m": "t + 10", "q": "m + 12", "u": "q + 17", "l": "u + 13", "d": "b + 4", "k": "d + 5", "n": "k + 4", "o": "n + 15", "y": "o + 20", "p": "y + 5", "b": 2}, "premises": {"b": 2}, "target": "l"}, "answer": {"steps": [["r", "b + 12", 14], ["t", "r + 14", 28], ["m", "t + 10", 38], ["q", "m + 12", 50], ["u", "q + 17", 67], ["l", "u + 13", 80]], "target_var_name": "l", "target_value": 80, "value_dict": {"b": 2, "r": 14, "t": 28, "m": 38, "q": 50, "u": 67, "l": 80}, "is_reverse": false}} | 580 | 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 = t + 10; p = y + 5; o = n + 15; d = b + 4; l = u + 13; t = r + 14; y = o + 20; r = b + 12; u = q + 17; q = m + 12; k = d + 5; b = 2; n = k + 4. If b = 2, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = b + 12, which gives r = 14.\n2. Compute t using t = r + 14, which gives t = 28.\n3. Compute m using m = t + 10, which gives m = 38.\n4. Compute q using q = m + 12, which gives q = 50.\n5. Compute u using u = q + 17, which gives u = 67.\n6. Compute l using l = u + 13, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = t + 10; p = y + 5; o = n + 15; d = b + 4; l = u + 13; t = r + 14; y = o + 20; r = b + 12; u = q + 17; q = m + 12; k = d + 5; b = 2; n = k + 4. If b = 2, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 11", "a": "m + 3", "b": "a + 12", "l": "b + 8", "t": "l + 15", "r": "t + 13", "v": "c + 4", "d": "v + 17", "u": "d + 12", "j": "u + 8", "g": "j + 16", "w": "g + 6", "c": 11}, "premises": {"c": 11}, "target": "r"}, "answer": {"steps": [["m", "c + 11", 22], ["a", "m + 3", 25], ["b", "a + 12", 37], ["l", "b + 8", 45], ["t", "l + 15", 60], ["r", "t + 13", 73]], "target_var_name": "r", "target_value": 73, "value_dict": {"c": 11, "m": 22, "a": 25, "b": 37, "l": 45, "t": 60, "r": 73}, "is_reverse": false}} | 581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 17; m = c + 11; v = c + 4; g = j + 16; j = u + 8; l = b + 8; a = m + 3; u = d + 12; r = t + 13; w = g + 6; b = a + 12; t = l + 15; c = 11. Given that c = 11, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = c + 11, which gives m = 22.\n2. Compute a using a = m + 3, which gives a = 25.\n3. Compute b using b = a + 12, which gives b = 37.\n4. Compute l using l = b + 8, which gives l = 45.\n5. Compute t using t = l + 15, which gives t = 60.\n6. Compute r using r = t + 13, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 581,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 17; m = c + 11; v = c + 4; g = j + 16; j = u + 8; l = b + 8; a = m + 3; u = d + 12; r = t + 13; w = g + 6; b = a + 12; t = l + 15; c = 11. Given that c = 11, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 7", "a": "x + 15", "i": "a + 16", "g": "i + 19", "p": "g + 1", "b": "p + 12", "d": "c + 13", "f": "d + 16", "j": "f + 11", "l": "j + 14", "e": "l + 8", "t": "e + 1", "c": 6}, "premises": {"c": 6}, "target": "b"}, "answer": {"steps": [["x", "c + 7", 13], ["a", "x + 15", 28], ["i", "a + 16", 44], ["g", "i + 19", 63], ["p", "g + 1", 64], ["b", "p + 12", 76]], "target_var_name": "b", "target_value": 76, "value_dict": {"c": 6, "x": 13, "a": 28, "i": 44, "g": 63, "p": 64, "b": 76}, "is_reverse": false}} | 582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 15; g = i + 19; t = e + 1; f = d + 16; e = l + 8; d = c + 13; i = a + 16; x = c + 7; l = j + 14; p = g + 1; j = f + 11; c = 6; b = p + 12. If c = 6, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = c + 7, which gives x = 13.\n2. Compute a using a = x + 15, which gives a = 28.\n3. Compute i using i = a + 16, which gives i = 44.\n4. Compute g using g = i + 19, which gives g = 63.\n5. Compute p using p = g + 1, which gives p = 64.\n6. Compute b using b = p + 12, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 582,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 15; g = i + 19; t = e + 1; f = d + 16; e = l + 8; d = c + 13; i = a + 16; x = c + 7; l = j + 14; p = g + 1; j = f + 11; c = 6; b = p + 12. If c = 6, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 5", "d": "p + 19", "r": "d + 6", "z": "r + 9", "c": "z + 8", "m": "c + 2", "s": "x + 17", "f": "s + 12", "n": "f + 10", "v": "n + 20", "b": "v + 15", "l": "b + 1", "x": 20}, "premises": {"x": 20}, "target": "m"}, "answer": {"steps": [["p", "x + 5", 25], ["d", "p + 19", 44], ["r", "d + 6", 50], ["z", "r + 9", 59], ["c", "z + 8", 67], ["m", "c + 2", 69]], "target_var_name": "m", "target_value": 69, "value_dict": {"x": 20, "p": 25, "d": 44, "r": 50, "z": 59, "c": 67, "m": 69}, "is_reverse": false}} | 583 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 15; c = z + 8; z = r + 9; n = f + 10; l = b + 1; d = p + 19; m = c + 2; s = x + 17; p = x + 5; r = d + 6; f = s + 12; x = 20; v = n + 20. If x = 20, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = x + 5, which gives p = 25.\n2. Compute d using d = p + 19, which gives d = 44.\n3. Compute r using r = d + 6, which gives r = 50.\n4. Compute z using z = r + 9, which gives z = 59.\n5. Compute c using c = z + 8, which gives c = 67.\n6. Compute m using m = c + 2, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 15; c = z + 8; z = r + 9; n = f + 10; l = b + 1; d = p + 19; m = c + 2; s = x + 17; p = x + 5; r = d + 6; f = s + 12; x = 20; v = n + 20. If x = 20, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 4", "x": "w + 17", "r": "x + 12", "t": "r + 20", "h": "t + 12", "e": "h + 6", "i": "l + 1", "v": "i + 15", "k": "v + 9", "y": "k + 5", "j": "y + 9", "b": "j + 18", "l": 9}, "premises": {"l": 9}, "target": "e"}, "answer": {"steps": [["w", "l + 4", 13], ["x", "w + 17", 30], ["r", "x + 12", 42], ["t", "r + 20", 62], ["h", "t + 12", 74], ["e", "h + 6", 80]], "target_var_name": "e", "target_value": 80, "value_dict": {"l": 9, "w": 13, "x": 30, "r": 42, "t": 62, "h": 74, "e": 80}, "is_reverse": false}} | 584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 9; v = i + 15; h = t + 12; k = v + 9; i = l + 1; r = x + 12; x = w + 17; e = h + 6; y = k + 5; t = r + 20; b = j + 18; l = 9; w = l + 4. Given that l = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = l + 4, which gives w = 13.\n2. Compute x using x = w + 17, which gives x = 30.\n3. Compute r using r = x + 12, which gives r = 42.\n4. Compute t using t = r + 20, which gives t = 62.\n5. Compute h using h = t + 12, which gives h = 74.\n6. Compute e using e = h + 6, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 584,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 9; v = i + 15; h = t + 12; k = v + 9; i = l + 1; r = x + 12; x = w + 17; e = h + 6; y = k + 5; t = r + 20; b = j + 18; l = 9; w = l + 4. Given that l = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 16", "p": "t + 17", "b": "p + 15", "x": "b + 11", "e": "x + 1", "f": "e + 2", "u": "k + 8", "s": "u + 5", "d": "s + 14", "a": "d + 9", "m": "a + 11", "y": "m + 4", "k": 1}, "premises": {"k": 1}, "target": "f"}, "answer": {"steps": [["t", "k + 16", 17], ["p", "t + 17", 34], ["b", "p + 15", 49], ["x", "b + 11", 60], ["e", "x + 1", 61], ["f", "e + 2", 63]], "target_var_name": "f", "target_value": 63, "value_dict": {"k": 1, "t": 17, "p": 34, "b": 49, "x": 60, "e": 61, "f": 63}, "is_reverse": false}} | 585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 5; e = x + 1; k = 1; b = p + 15; d = s + 14; a = d + 9; u = k + 8; f = e + 2; y = m + 4; t = k + 16; x = b + 11; m = a + 11; p = t + 17. Given that k = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = k + 16, which gives t = 17.\n2. Compute p using p = t + 17, which gives p = 34.\n3. Compute b using b = p + 15, which gives b = 49.\n4. Compute x using x = b + 11, which gives x = 60.\n5. Compute e using e = x + 1, which gives e = 61.\n6. Compute f using f = e + 2, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 585,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 5; e = x + 1; k = 1; b = p + 15; d = s + 14; a = d + 9; u = k + 8; f = e + 2; y = m + 4; t = k + 16; x = b + 11; m = a + 11; p = t + 17. Given that k = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 16", "f": "n + 19", "o": "f + 15", "h": "o + 16", "u": "h + 11", "t": "u + 12", "p": "c + 18", "i": "p + 2", "k": "i + 19", "v": "k + 4", "q": "v + 14", "y": "q + 4", "c": 15}, "premises": {"c": 15}, "target": "t"}, "answer": {"steps": [["n", "c + 16", 31], ["f", "n + 19", 50], ["o", "f + 15", 65], ["h", "o + 16", 81], ["u", "h + 11", 92], ["t", "u + 12", 104]], "target_var_name": "t", "target_value": 104, "value_dict": {"c": 15, "n": 31, "f": 50, "o": 65, "h": 81, "u": 92, "t": 104}, "is_reverse": false}} | 586 | 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 = k + 4; c = 15; n = c + 16; o = f + 15; y = q + 4; h = o + 16; i = p + 2; p = c + 18; u = h + 11; t = u + 12; k = i + 19; q = v + 14; f = n + 19. If c = 15, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = c + 16, which gives n = 31.\n2. Compute f using f = n + 19, which gives f = 50.\n3. Compute o using o = f + 15, which gives o = 65.\n4. Compute h using h = o + 16, which gives h = 81.\n5. Compute u using u = h + 11, which gives u = 92.\n6. Compute t using t = u + 12, which gives t = 104.\n\nThus, the final answer is t = \\boxed{104}.",
"index": 586,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 4; c = 15; n = c + 16; o = f + 15; y = q + 4; h = o + 16; i = p + 2; p = c + 18; u = h + 11; t = u + 12; k = i + 19; q = v + 14; f = n + 19. If c = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 15", "u": "v + 10", "i": "u + 13", "b": "i + 15", "k": "b + 17", "x": "k + 9", "y": "h + 19", "p": "y + 1", "o": "p + 9", "n": "o + 10", "z": "n + 10", "c": "z + 5", "h": 3}, "premises": {"h": 3}, "target": "x"}, "answer": {"steps": [["v", "h + 15", 18], ["u", "v + 10", 28], ["i", "u + 13", 41], ["b", "i + 15", 56], ["k", "b + 17", 73], ["x", "k + 9", 82]], "target_var_name": "x", "target_value": 82, "value_dict": {"h": 3, "v": 18, "u": 28, "i": 41, "b": 56, "k": 73, "x": 82}, "is_reverse": false}} | 587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 15; v = h + 15; n = o + 10; i = u + 13; c = z + 5; x = k + 9; o = p + 9; k = b + 17; u = v + 10; h = 3; z = n + 10; p = y + 1; y = h + 19. If h = 3, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = h + 15, which gives v = 18.\n2. Compute u using u = v + 10, which gives u = 28.\n3. Compute i using i = u + 13, which gives i = 41.\n4. Compute b using b = i + 15, which gives b = 56.\n5. Compute k using k = b + 17, which gives k = 73.\n6. Compute x using x = k + 9, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 587,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 15; v = h + 15; n = o + 10; i = u + 13; c = z + 5; x = k + 9; o = p + 9; k = b + 17; u = v + 10; h = 3; z = n + 10; p = y + 1; y = h + 19. If h = 3, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 16", "n": "i + 18", "p": "n + 15", "h": "p + 2", "k": "h + 2", "l": "k + 15", "r": "e + 8", "g": "r + 4", "d": "g + 2", "f": "d + 6", "o": "f + 8", "q": "o + 8", "e": 2}, "premises": {"e": 2}, "target": "l"}, "answer": {"steps": [["i", "e + 16", 18], ["n", "i + 18", 36], ["p", "n + 15", 51], ["h", "p + 2", 53], ["k", "h + 2", 55], ["l", "k + 15", 70]], "target_var_name": "l", "target_value": 70, "value_dict": {"e": 2, "i": 18, "n": 36, "p": 51, "h": 53, "k": 55, "l": 70}, "is_reverse": false}} | 588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 15; d = g + 2; e = 2; f = d + 6; l = k + 15; k = h + 2; r = e + 8; i = e + 16; o = f + 8; g = r + 4; q = o + 8; h = p + 2; n = i + 18. If e = 2, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = e + 16, which gives i = 18.\n2. Compute n using n = i + 18, which gives n = 36.\n3. Compute p using p = n + 15, which gives p = 51.\n4. Compute h using h = p + 2, which gives h = 53.\n5. Compute k using k = h + 2, which gives k = 55.\n6. Compute l using l = k + 15, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 588,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 15; d = g + 2; e = 2; f = d + 6; l = k + 15; k = h + 2; r = e + 8; i = e + 16; o = f + 8; g = r + 4; q = o + 8; h = p + 2; n = i + 18. If e = 2, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 13", "g": "x + 7", "r": "g + 13", "t": "r + 8", "a": "t + 15", "d": "a + 10", "e": "n + 13", "p": "e + 1", "c": "p + 12", "o": "c + 3", "h": "o + 16", "l": "h + 7", "n": 19}, "premises": {"n": 19}, "target": "d"}, "answer": {"steps": [["x", "n + 13", 32], ["g", "x + 7", 39], ["r", "g + 13", 52], ["t", "r + 8", 60], ["a", "t + 15", 75], ["d", "a + 10", 85]], "target_var_name": "d", "target_value": 85, "value_dict": {"n": 19, "x": 32, "g": 39, "r": 52, "t": 60, "a": 75, "d": 85}, "is_reverse": false}} | 589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = g + 13; t = r + 8; n = 19; a = t + 15; x = n + 13; l = h + 7; e = n + 13; g = x + 7; p = e + 1; o = c + 3; c = p + 12; d = a + 10; h = o + 16. Given that n = 19, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = n + 13, which gives x = 32.\n2. Compute g using g = x + 7, which gives g = 39.\n3. Compute r using r = g + 13, which gives r = 52.\n4. Compute t using t = r + 8, which gives t = 60.\n5. Compute a using a = t + 15, which gives a = 75.\n6. Compute d using d = a + 10, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 589,
"question": "Suppose a collection of variables is related by the following definitions: r = g + 13; t = r + 8; n = 19; a = t + 15; x = n + 13; l = h + 7; e = n + 13; g = x + 7; p = e + 1; o = c + 3; c = p + 12; d = a + 10; h = o + 16. Given that n = 19, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 9", "w": "p + 20", "t": "w + 16", "h": "t + 6", "n": "h + 7", "l": "n + 13", "q": "g + 1", "u": "q + 17", "v": "u + 5", "b": "v + 6", "k": "b + 4", "m": "k + 3", "g": 5}, "premises": {"g": 5}, "target": "l"}, "answer": {"steps": [["p", "g + 9", 14], ["w", "p + 20", 34], ["t", "w + 16", 50], ["h", "t + 6", 56], ["n", "h + 7", 63], ["l", "n + 13", 76]], "target_var_name": "l", "target_value": 76, "value_dict": {"g": 5, "p": 14, "w": 34, "t": 50, "h": 56, "n": 63, "l": 76}, "is_reverse": false}} | 590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 5; h = t + 6; w = p + 20; m = k + 3; n = h + 7; v = u + 5; l = n + 13; b = v + 6; u = q + 17; p = g + 9; k = b + 4; q = g + 1; t = w + 16. Given that g = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = g + 9, which gives p = 14.\n2. Compute w using w = p + 20, which gives w = 34.\n3. Compute t using t = w + 16, which gives t = 50.\n4. Compute h using h = t + 6, which gives h = 56.\n5. Compute n using n = h + 7, which gives n = 63.\n6. Compute l using l = n + 13, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 590,
"question": "Suppose a collection of variables is related by the following definitions: g = 5; h = t + 6; w = p + 20; m = k + 3; n = h + 7; v = u + 5; l = n + 13; b = v + 6; u = q + 17; p = g + 9; k = b + 4; q = g + 1; t = w + 16. Given that g = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 8", "b": "k + 13", "h": "b + 16", "s": "h + 13", "o": "s + 19", "y": "o + 15", "p": "a + 14", "j": "p + 19", "d": "j + 3", "r": "d + 6", "t": "r + 19", "f": "t + 7", "a": 14}, "premises": {"a": 14}, "target": "y"}, "answer": {"steps": [["k", "a + 8", 22], ["b", "k + 13", 35], ["h", "b + 16", 51], ["s", "h + 13", 64], ["o", "s + 19", 83], ["y", "o + 15", 98]], "target_var_name": "y", "target_value": 98, "value_dict": {"a": 14, "k": 22, "b": 35, "h": 51, "s": 64, "o": 83, "y": 98}, "is_reverse": false}} | 591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 13; y = o + 15; h = b + 16; j = p + 19; o = s + 19; k = a + 8; p = a + 14; a = 14; f = t + 7; d = j + 3; r = d + 6; t = r + 19; s = h + 13. If a = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = a + 8, which gives k = 22.\n2. Compute b using b = k + 13, which gives b = 35.\n3. Compute h using h = b + 16, which gives h = 51.\n4. Compute s using s = h + 13, which gives s = 64.\n5. Compute o using o = s + 19, which gives o = 83.\n6. Compute y using y = o + 15, which gives y = 98.\n\nThus, the final answer is y = \\boxed{98}.",
"index": 591,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 13; y = o + 15; h = b + 16; j = p + 19; o = s + 19; k = a + 8; p = a + 14; a = 14; f = t + 7; d = j + 3; r = d + 6; t = r + 19; s = h + 13. If a = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 13", "q": "v + 16", "g": "q + 13", "z": "g + 20", "a": "z + 14", "c": "a + 8", "i": "x + 15", "o": "i + 2", "k": "o + 10", "l": "k + 2", "b": "l + 10", "t": "b + 8", "x": 20}, "premises": {"x": 20}, "target": "c"}, "answer": {"steps": [["v", "x + 13", 33], ["q", "v + 16", 49], ["g", "q + 13", 62], ["z", "g + 20", 82], ["a", "z + 14", 96], ["c", "a + 8", 104]], "target_var_name": "c", "target_value": 104, "value_dict": {"x": 20, "v": 33, "q": 49, "g": 62, "z": 82, "a": 96, "c": 104}, "is_reverse": false}} | 592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = z + 14; k = o + 10; z = g + 20; t = b + 8; l = k + 2; q = v + 16; o = i + 2; i = x + 15; x = 20; b = l + 10; c = a + 8; v = x + 13; g = q + 13. Given that x = 20, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = x + 13, which gives v = 33.\n2. Compute q using q = v + 16, which gives q = 49.\n3. Compute g using g = q + 13, which gives g = 62.\n4. Compute z using z = g + 20, which gives z = 82.\n5. Compute a using a = z + 14, which gives a = 96.\n6. Compute c using c = a + 8, which gives c = 104.\n\nThus, the final answer is c = \\boxed{104}.",
"index": 592,
"question": "Suppose a collection of variables is related by the following definitions: a = z + 14; k = o + 10; z = g + 20; t = b + 8; l = k + 2; q = v + 16; o = i + 2; i = x + 15; x = 20; b = l + 10; c = a + 8; v = x + 13; g = q + 13. Given that x = 20, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"p": "q + 18", "g": "p + 19", "b": "g + 10", "m": "b + 11", "x": "m + 2", "t": "x + 19", "j": "q + 3", "l": "j + 17", "u": "l + 12", "e": "u + 9", "a": "e + 3", "k": "a + 7", "q": 6}, "premises": {"q": 6}, "target": "t"}, "answer": {"steps": [["p", "q + 18", 24], ["g", "p + 19", 43], ["b", "g + 10", 53], ["m", "b + 11", 64], ["x", "m + 2", 66], ["t", "x + 19", 85]], "target_var_name": "t", "target_value": 85, "value_dict": {"q": 6, "p": 24, "g": 43, "b": 53, "m": 64, "x": 66, "t": 85}, "is_reverse": false}} | 593 | 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 = a + 7; l = j + 17; u = l + 12; x = m + 2; j = q + 3; e = u + 9; t = x + 19; q = 6; a = e + 3; p = q + 18; m = b + 11; g = p + 19; b = g + 10. If q = 6, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = q + 18, which gives p = 24.\n2. Compute g using g = p + 19, which gives g = 43.\n3. Compute b using b = g + 10, which gives b = 53.\n4. Compute m using m = b + 11, which gives m = 64.\n5. Compute x using x = m + 2, which gives x = 66.\n6. Compute t using t = x + 19, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 593,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 7; l = j + 17; u = l + 12; x = m + 2; j = q + 3; e = u + 9; t = x + 19; q = 6; a = e + 3; p = q + 18; m = b + 11; g = p + 19; b = g + 10. If q = 6, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 10", "g": "j + 9", "e": "g + 7", "q": "e + 13", "d": "q + 6", "w": "d + 19", "u": "n + 19", "y": "u + 20", "s": "y + 17", "r": "s + 20", "o": "r + 19", "l": "o + 8", "n": 15}, "premises": {"n": 15}, "target": "w"}, "answer": {"steps": [["j", "n + 10", 25], ["g", "j + 9", 34], ["e", "g + 7", 41], ["q", "e + 13", 54], ["d", "q + 6", 60], ["w", "d + 19", 79]], "target_var_name": "w", "target_value": 79, "value_dict": {"n": 15, "j": 25, "g": 34, "e": 41, "q": 54, "d": 60, "w": 79}, "is_reverse": false}} | 594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = y + 17; g = j + 9; r = s + 20; u = n + 19; j = n + 10; w = d + 19; d = q + 6; o = r + 19; l = o + 8; q = e + 13; y = u + 20; n = 15; e = g + 7. Given that n = 15, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = n + 10, which gives j = 25.\n2. Compute g using g = j + 9, which gives g = 34.\n3. Compute e using e = g + 7, which gives e = 41.\n4. Compute q using q = e + 13, which gives q = 54.\n5. Compute d using d = q + 6, which gives d = 60.\n6. Compute w using w = d + 19, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 594,
"question": "Suppose a collection of variables is related by the following definitions: s = y + 17; g = j + 9; r = s + 20; u = n + 19; j = n + 10; w = d + 19; d = q + 6; o = r + 19; l = o + 8; q = e + 13; y = u + 20; n = 15; e = g + 7. Given that n = 15, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 19", "b": "p + 13", "d": "b + 17", "a": "d + 5", "j": "a + 13", "f": "j + 17", "m": "z + 4", "t": "m + 2", "s": "t + 9", "g": "s + 7", "v": "g + 13", "q": "v + 20", "z": 3}, "premises": {"z": 3}, "target": "f"}, "answer": {"steps": [["p", "z + 19", 22], ["b", "p + 13", 35], ["d", "b + 17", 52], ["a", "d + 5", 57], ["j", "a + 13", 70], ["f", "j + 17", 87]], "target_var_name": "f", "target_value": 87, "value_dict": {"z": 3, "p": 22, "b": 35, "d": 52, "a": 57, "j": 70, "f": 87}, "is_reverse": false}} | 595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 9; z = 3; a = d + 5; b = p + 13; d = b + 17; f = j + 17; j = a + 13; v = g + 13; t = m + 2; m = z + 4; q = v + 20; p = z + 19; g = s + 7. If z = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = z + 19, which gives p = 22.\n2. Compute b using b = p + 13, which gives b = 35.\n3. Compute d using d = b + 17, which gives d = 52.\n4. Compute a using a = d + 5, which gives a = 57.\n5. Compute j using j = a + 13, which gives j = 70.\n6. Compute f using f = j + 17, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = t + 9; z = 3; a = d + 5; b = p + 13; d = b + 17; f = j + 17; j = a + 13; v = g + 13; t = m + 2; m = z + 4; q = v + 20; p = z + 19; g = s + 7. If z = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 15", "k": "p + 15", "g": "k + 14", "d": "g + 20", "r": "d + 15", "n": "r + 12", "i": "x + 16", "y": "i + 19", "j": "y + 4", "q": "j + 15", "b": "q + 1", "z": "b + 20", "x": 3}, "premises": {"x": 3}, "target": "n"}, "answer": {"steps": [["p", "x + 15", 18], ["k", "p + 15", 33], ["g", "k + 14", 47], ["d", "g + 20", 67], ["r", "d + 15", 82], ["n", "r + 12", 94]], "target_var_name": "n", "target_value": 94, "value_dict": {"x": 3, "p": 18, "k": 33, "g": 47, "d": 67, "r": 82, "n": 94}, "is_reverse": false}} | 596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = i + 19; q = j + 15; p = x + 15; x = 3; z = b + 20; k = p + 15; r = d + 15; b = q + 1; i = x + 16; j = y + 4; d = g + 20; g = k + 14; n = r + 12. If x = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = x + 15, which gives p = 18.\n2. Compute k using k = p + 15, which gives k = 33.\n3. Compute g using g = k + 14, which gives g = 47.\n4. Compute d using d = g + 20, which gives d = 67.\n5. Compute r using r = d + 15, which gives r = 82.\n6. Compute n using n = r + 12, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 596,
"question": "Consider a system of variables where each variable is defined as follows: y = i + 19; q = j + 15; p = x + 15; x = 3; z = b + 20; k = p + 15; r = d + 15; b = q + 1; i = x + 16; j = y + 4; d = g + 20; g = k + 14; n = r + 12. If x = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "b + 6", "p": "a + 13", "s": "p + 17", "k": "s + 8", "c": "k + 11", "r": "c + 19", "o": "b + 6", "u": "o + 2", "v": "u + 10", "m": "v + 4", "g": "m + 7", "j": "g + 15", "b": 4}, "premises": {"b": 4}, "target": "r"}, "answer": {"steps": [["a", "b + 6", 10], ["p", "a + 13", 23], ["s", "p + 17", 40], ["k", "s + 8", 48], ["c", "k + 11", 59], ["r", "c + 19", 78]], "target_var_name": "r", "target_value": 78, "value_dict": {"b": 4, "a": 10, "p": 23, "s": 40, "k": 48, "c": 59, "r": 78}, "is_reverse": false}} | 597 | 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 = o + 2; s = p + 17; b = 4; k = s + 8; m = v + 4; v = u + 10; r = c + 19; j = g + 15; p = a + 13; o = b + 6; g = m + 7; a = b + 6; c = k + 11. If b = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = b + 6, which gives a = 10.\n2. Compute p using p = a + 13, which gives p = 23.\n3. Compute s using s = p + 17, which gives s = 40.\n4. Compute k using k = s + 8, which gives k = 48.\n5. Compute c using c = k + 11, which gives c = 59.\n6. Compute r using r = c + 19, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 2; s = p + 17; b = 4; k = s + 8; m = v + 4; v = u + 10; r = c + 19; j = g + 15; p = a + 13; o = b + 6; g = m + 7; a = b + 6; c = k + 11. If b = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 20", "e": "l + 18", "h": "e + 1", "y": "h + 11", "a": "y + 4", "s": "a + 20", "w": "j + 16", "v": "w + 16", "q": "v + 1", "o": "q + 19", "r": "o + 4", "b": "r + 9", "j": 1}, "premises": {"j": 1}, "target": "s"}, "answer": {"steps": [["l", "j + 20", 21], ["e", "l + 18", 39], ["h", "e + 1", 40], ["y", "h + 11", 51], ["a", "y + 4", 55], ["s", "a + 20", 75]], "target_var_name": "s", "target_value": 75, "value_dict": {"j": 1, "l": 21, "e": 39, "h": 40, "y": 51, "a": 55, "s": 75}, "is_reverse": false}} | 598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 18; w = j + 16; r = o + 4; s = a + 20; a = y + 4; l = j + 20; y = h + 11; o = q + 19; v = w + 16; j = 1; b = r + 9; h = e + 1; q = v + 1. If j = 1, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = j + 20, which gives l = 21.\n2. Compute e using e = l + 18, which gives e = 39.\n3. Compute h using h = e + 1, which gives h = 40.\n4. Compute y using y = h + 11, which gives y = 51.\n5. Compute a using a = y + 4, which gives a = 55.\n6. Compute s using s = a + 20, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 598,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 18; w = j + 16; r = o + 4; s = a + 20; a = y + 4; l = j + 20; y = h + 11; o = q + 19; v = w + 16; j = 1; b = r + 9; h = e + 1; q = v + 1. If j = 1, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 13", "j": "g + 6", "y": "j + 8", "p": "y + 12", "f": "p + 5", "e": "f + 12", "d": "q + 10", "w": "d + 1", "l": "w + 18", "v": "l + 15", "r": "v + 20", "o": "r + 13", "q": 4}, "premises": {"q": 4}, "target": "e"}, "answer": {"steps": [["g", "q + 13", 17], ["j", "g + 6", 23], ["y", "j + 8", 31], ["p", "y + 12", 43], ["f", "p + 5", 48], ["e", "f + 12", 60]], "target_var_name": "e", "target_value": 60, "value_dict": {"q": 4, "g": 17, "j": 23, "y": 31, "p": 43, "f": 48, "e": 60}, "is_reverse": false}} | 599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 13; g = q + 13; d = q + 10; l = w + 18; e = f + 12; y = j + 8; r = v + 20; v = l + 15; q = 4; f = p + 5; w = d + 1; p = y + 12; j = g + 6. Given that q = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = q + 13, which gives g = 17.\n2. Compute j using j = g + 6, which gives j = 23.\n3. Compute y using y = j + 8, which gives y = 31.\n4. Compute p using p = y + 12, which gives p = 43.\n5. Compute f using f = p + 5, which gives f = 48.\n6. Compute e using e = f + 12, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 599,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 13; g = q + 13; d = q + 10; l = w + 18; e = f + 12; y = j + 8; r = v + 20; v = l + 15; q = 4; f = p + 5; w = d + 1; p = y + 12; j = g + 6. Given that q = 4, find the value of e.",
"split": "train"
} |
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