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": {"m": "n + 19", "y": "m + 12", "k": "y + 15", "p": "k + 13", "v": "p + 4", "b": "v + 7", "f": "n + 12", "r": "f + 1", "l": "r + 8", "i": "l + 3", "c": "i + 8", "h": "c + 14", "n": 13}, "premises": {"n": 13}, "target": "b"}, "answer": {"steps": [["m", "n + 19", 32], ["y", "m + 12", 44], ["k", "y + 15", 59], ["p", "k + 13", 72], ["v", "p + 4", 76], ["b", "v + 7", 83]], "target_var_name": "b", "target_value": 83, "value_dict": {"n": 13, "m": 32, "y": 44, "k": 59, "p": 72, "v": 76, "b": 83}, "is_reverse": false}} | 800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 4; k = y + 15; m = n + 19; n = 13; p = k + 13; l = r + 8; c = i + 8; y = m + 12; i = l + 3; f = n + 12; b = v + 7; r = f + 1; h = c + 14. If n = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = n + 19, which gives m = 32.\n2. Compute y using y = m + 12, which gives y = 44.\n3. Compute k using k = y + 15, which gives k = 59.\n4. Compute p using p = k + 13, which gives p = 72.\n5. Compute v using v = p + 4, which gives v = 76.\n6. Compute b using b = v + 7, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 800,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 4; k = y + 15; m = n + 19; n = 13; p = k + 13; l = r + 8; c = i + 8; y = m + 12; i = l + 3; f = n + 12; b = v + 7; r = f + 1; h = c + 14. If n = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 7", "y": "n + 17", "t": "y + 3", "b": "t + 7", "o": "b + 6", "a": "o + 17", "d": "h + 20", "l": "d + 3", "p": "l + 17", "k": "p + 10", "x": "k + 6", "w": "x + 18", "h": 15}, "premises": {"h": 15}, "target": "a"}, "answer": {"steps": [["n", "h + 7", 22], ["y", "n + 17", 39], ["t", "y + 3", 42], ["b", "t + 7", 49], ["o", "b + 6", 55], ["a", "o + 17", 72]], "target_var_name": "a", "target_value": 72, "value_dict": {"h": 15, "n": 22, "y": 39, "t": 42, "b": 49, "o": 55, "a": 72}, "is_reverse": false}} | 801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = t + 7; l = d + 3; a = o + 17; n = h + 7; h = 15; d = h + 20; k = p + 10; t = y + 3; x = k + 6; p = l + 17; o = b + 6; y = n + 17; w = x + 18. Given that h = 15, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = h + 7, which gives n = 22.\n2. Compute y using y = n + 17, which gives y = 39.\n3. Compute t using t = y + 3, which gives t = 42.\n4. Compute b using b = t + 7, which gives b = 49.\n5. Compute o using o = b + 6, which gives o = 55.\n6. Compute a using a = o + 17, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 801,
"question": "Suppose a collection of variables is related by the following definitions: b = t + 7; l = d + 3; a = o + 17; n = h + 7; h = 15; d = h + 20; k = p + 10; t = y + 3; x = k + 6; p = l + 17; o = b + 6; y = n + 17; w = x + 18. Given that h = 15, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 1", "g": "o + 6", "m": "g + 3", "e": "m + 11", "h": "e + 20", "y": "h + 9", "v": "d + 16", "a": "v + 4", "s": "a + 7", "n": "s + 19", "r": "n + 7", "c": "r + 12", "d": 8}, "premises": {"d": 8}, "target": "y"}, "answer": {"steps": [["o", "d + 1", 9], ["g", "o + 6", 15], ["m", "g + 3", 18], ["e", "m + 11", 29], ["h", "e + 20", 49], ["y", "h + 9", 58]], "target_var_name": "y", "target_value": 58, "value_dict": {"d": 8, "o": 9, "g": 15, "m": 18, "e": 29, "h": 49, "y": 58}, "is_reverse": false}} | 802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 9; v = d + 16; d = 8; h = e + 20; s = a + 7; g = o + 6; c = r + 12; e = m + 11; a = v + 4; o = d + 1; n = s + 19; m = g + 3; r = n + 7. If d = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = d + 1, which gives o = 9.\n2. Compute g using g = o + 6, which gives g = 15.\n3. Compute m using m = g + 3, which gives m = 18.\n4. Compute e using e = m + 11, which gives e = 29.\n5. Compute h using h = e + 20, which gives h = 49.\n6. Compute y using y = h + 9, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 802,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 9; v = d + 16; d = 8; h = e + 20; s = a + 7; g = o + 6; c = r + 12; e = m + 11; a = v + 4; o = d + 1; n = s + 19; m = g + 3; r = n + 7. If d = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 10", "p": "h + 3", "l": "p + 16", "t": "l + 20", "b": "t + 8", "r": "b + 13", "e": "y + 12", "x": "e + 7", "a": "x + 19", "k": "a + 18", "c": "k + 10", "z": "c + 4", "y": 10}, "premises": {"y": 10}, "target": "r"}, "answer": {"steps": [["h", "y + 10", 20], ["p", "h + 3", 23], ["l", "p + 16", 39], ["t", "l + 20", 59], ["b", "t + 8", 67], ["r", "b + 13", 80]], "target_var_name": "r", "target_value": 80, "value_dict": {"y": 10, "h": 20, "p": 23, "l": 39, "t": 59, "b": 67, "r": 80}, "is_reverse": false}} | 803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = h + 3; b = t + 8; k = a + 18; e = y + 12; z = c + 4; x = e + 7; a = x + 19; h = y + 10; y = 10; t = l + 20; c = k + 10; r = b + 13; l = p + 16. If y = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = y + 10, which gives h = 20.\n2. Compute p using p = h + 3, which gives p = 23.\n3. Compute l using l = p + 16, which gives l = 39.\n4. Compute t using t = l + 20, which gives t = 59.\n5. Compute b using b = t + 8, which gives b = 67.\n6. Compute r using r = b + 13, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 803,
"question": "Consider a system of variables where each variable is defined as follows: p = h + 3; b = t + 8; k = a + 18; e = y + 12; z = c + 4; x = e + 7; a = x + 19; h = y + 10; y = 10; t = l + 20; c = k + 10; r = b + 13; l = p + 16. If y = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 8", "d": "h + 12", "g": "d + 7", "f": "g + 3", "k": "f + 5", "t": "k + 19", "v": "b + 20", "u": "v + 2", "p": "u + 1", "y": "p + 7", "e": "y + 17", "n": "e + 10", "b": 11}, "premises": {"b": 11}, "target": "t"}, "answer": {"steps": [["h", "b + 8", 19], ["d", "h + 12", 31], ["g", "d + 7", 38], ["f", "g + 3", 41], ["k", "f + 5", 46], ["t", "k + 19", 65]], "target_var_name": "t", "target_value": 65, "value_dict": {"b": 11, "h": 19, "d": 31, "g": 38, "f": 41, "k": 46, "t": 65}, "is_reverse": false}} | 804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 7; b = 11; e = y + 17; k = f + 5; n = e + 10; d = h + 12; v = b + 20; y = p + 7; t = k + 19; p = u + 1; f = g + 3; h = b + 8; u = v + 2. If b = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = b + 8, which gives h = 19.\n2. Compute d using d = h + 12, which gives d = 31.\n3. Compute g using g = d + 7, which gives g = 38.\n4. Compute f using f = g + 3, which gives f = 41.\n5. Compute k using k = f + 5, which gives k = 46.\n6. Compute t using t = k + 19, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 804,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 7; b = 11; e = y + 17; k = f + 5; n = e + 10; d = h + 12; v = b + 20; y = p + 7; t = k + 19; p = u + 1; f = g + 3; h = b + 8; u = v + 2. If b = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 12", "q": "p + 12", "r": "q + 11", "w": "r + 6", "h": "w + 15", "i": "h + 6", "o": "z + 9", "l": "o + 10", "m": "l + 12", "n": "m + 2", "t": "n + 2", "a": "t + 14", "z": 13}, "premises": {"z": 13}, "target": "i"}, "answer": {"steps": [["p", "z + 12", 25], ["q", "p + 12", 37], ["r", "q + 11", 48], ["w", "r + 6", 54], ["h", "w + 15", 69], ["i", "h + 6", 75]], "target_var_name": "i", "target_value": 75, "value_dict": {"z": 13, "p": 25, "q": 37, "r": 48, "w": 54, "h": 69, "i": 75}, "is_reverse": false}} | 805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = q + 11; a = t + 14; n = m + 2; w = r + 6; t = n + 2; p = z + 12; q = p + 12; m = l + 12; o = z + 9; i = h + 6; l = o + 10; h = w + 15; z = 13. If z = 13, determine the value of i.",
"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 = z + 12, which gives p = 25.\n2. Compute q using q = p + 12, which gives q = 37.\n3. Compute r using r = q + 11, which gives r = 48.\n4. Compute w using w = r + 6, which gives w = 54.\n5. Compute h using h = w + 15, which gives h = 69.\n6. Compute i using i = h + 6, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 805,
"question": "Consider a system of variables where each variable is defined as follows: r = q + 11; a = t + 14; n = m + 2; w = r + 6; t = n + 2; p = z + 12; q = p + 12; m = l + 12; o = z + 9; i = h + 6; l = o + 10; h = w + 15; z = 13. If z = 13, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 7", "m": "f + 16", "i": "m + 6", "t": "i + 13", "o": "t + 10", "h": "o + 6", "w": "u + 20", "r": "w + 15", "g": "r + 2", "y": "g + 19", "l": "y + 13", "j": "l + 16", "u": 18}, "premises": {"u": 18}, "target": "h"}, "answer": {"steps": [["f", "u + 7", 25], ["m", "f + 16", 41], ["i", "m + 6", 47], ["t", "i + 13", 60], ["o", "t + 10", 70], ["h", "o + 6", 76]], "target_var_name": "h", "target_value": 76, "value_dict": {"u": 18, "f": 25, "m": 41, "i": 47, "t": 60, "o": 70, "h": 76}, "is_reverse": false}} | 806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 7; t = i + 13; o = t + 10; i = m + 6; w = u + 20; h = o + 6; u = 18; r = w + 15; m = f + 16; l = y + 13; j = l + 16; g = r + 2; y = g + 19. Given that u = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = u + 7, which gives f = 25.\n2. Compute m using m = f + 16, which gives m = 41.\n3. Compute i using i = m + 6, which gives i = 47.\n4. Compute t using t = i + 13, which gives t = 60.\n5. Compute o using o = t + 10, which gives o = 70.\n6. Compute h using h = o + 6, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 806,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 7; t = i + 13; o = t + 10; i = m + 6; w = u + 20; h = o + 6; u = 18; r = w + 15; m = f + 16; l = y + 13; j = l + 16; g = r + 2; y = g + 19. Given that u = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 13", "z": "q + 13", "h": "z + 1", "g": "h + 10", "w": "g + 7", "t": "w + 2", "j": "c + 12", "a": "j + 17", "i": "a + 15", "s": "i + 17", "p": "s + 2", "k": "p + 14", "c": 12}, "premises": {"c": 12}, "target": "t"}, "answer": {"steps": [["q", "c + 13", 25], ["z", "q + 13", 38], ["h", "z + 1", 39], ["g", "h + 10", 49], ["w", "g + 7", 56], ["t", "w + 2", 58]], "target_var_name": "t", "target_value": 58, "value_dict": {"c": 12, "q": 25, "z": 38, "h": 39, "g": 49, "w": 56, "t": 58}, "is_reverse": false}} | 807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = s + 2; h = z + 1; c = 12; j = c + 12; z = q + 13; t = w + 2; q = c + 13; g = h + 10; k = p + 14; i = a + 15; a = j + 17; w = g + 7; s = i + 17. Given that c = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = c + 13, which gives q = 25.\n2. Compute z using z = q + 13, which gives z = 38.\n3. Compute h using h = z + 1, which gives h = 39.\n4. Compute g using g = h + 10, which gives g = 49.\n5. Compute w using w = g + 7, which gives w = 56.\n6. Compute t using t = w + 2, which gives t = 58.\n\nThus, the final answer is t = \\boxed{58}.",
"index": 807,
"question": "Suppose a collection of variables is related by the following definitions: p = s + 2; h = z + 1; c = 12; j = c + 12; z = q + 13; t = w + 2; q = c + 13; g = h + 10; k = p + 14; i = a + 15; a = j + 17; w = g + 7; s = i + 17. Given that c = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 10", "o": "j + 9", "d": "o + 18", "x": "d + 8", "n": "x + 9", "s": "n + 18", "g": "c + 7", "r": "g + 1", "m": "r + 1", "a": "m + 13", "b": "a + 16", "e": "b + 3", "c": 15}, "premises": {"c": 15}, "target": "s"}, "answer": {"steps": [["j", "c + 10", 25], ["o", "j + 9", 34], ["d", "o + 18", 52], ["x", "d + 8", 60], ["n", "x + 9", 69], ["s", "n + 18", 87]], "target_var_name": "s", "target_value": 87, "value_dict": {"c": 15, "j": 25, "o": 34, "d": 52, "x": 60, "n": 69, "s": 87}, "is_reverse": false}} | 808 | 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 = a + 16; c = 15; g = c + 7; x = d + 8; d = o + 18; o = j + 9; m = r + 1; n = x + 9; e = b + 3; a = m + 13; j = c + 10; s = n + 18; r = g + 1. If c = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = c + 10, which gives j = 25.\n2. Compute o using o = j + 9, which gives o = 34.\n3. Compute d using d = o + 18, which gives d = 52.\n4. Compute x using x = d + 8, which gives x = 60.\n5. Compute n using n = x + 9, which gives n = 69.\n6. Compute s using s = n + 18, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 808,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = a + 16; c = 15; g = c + 7; x = d + 8; d = o + 18; o = j + 9; m = r + 1; n = x + 9; e = b + 3; a = m + 13; j = c + 10; s = n + 18; r = g + 1. If c = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 14", "m": "d + 12", "e": "m + 3", "x": "e + 9", "g": "x + 5", "q": "g + 12", "y": "t + 13", "h": "y + 2", "i": "h + 10", "l": "i + 6", "r": "l + 14", "o": "r + 3", "t": 1}, "premises": {"t": 1}, "target": "q"}, "answer": {"steps": [["d", "t + 14", 15], ["m", "d + 12", 27], ["e", "m + 3", 30], ["x", "e + 9", 39], ["g", "x + 5", 44], ["q", "g + 12", 56]], "target_var_name": "q", "target_value": 56, "value_dict": {"t": 1, "d": 15, "m": 27, "e": 30, "x": 39, "g": 44, "q": 56}, "is_reverse": false}} | 809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = t + 14; y = t + 13; r = l + 14; g = x + 5; l = i + 6; i = h + 10; t = 1; h = y + 2; e = m + 3; q = g + 12; m = d + 12; o = r + 3; x = e + 9. If t = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = t + 14, which gives d = 15.\n2. Compute m using m = d + 12, which gives m = 27.\n3. Compute e using e = m + 3, which gives e = 30.\n4. Compute x using x = e + 9, which gives x = 39.\n5. Compute g using g = x + 5, which gives g = 44.\n6. Compute q using q = g + 12, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 809,
"question": "Consider a system of variables where each variable is defined as follows: d = t + 14; y = t + 13; r = l + 14; g = x + 5; l = i + 6; i = h + 10; t = 1; h = y + 2; e = m + 3; q = g + 12; m = d + 12; o = r + 3; x = e + 9. If t = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 6", "x": "q + 6", "w": "x + 18", "f": "w + 19", "v": "f + 14", "l": "v + 15", "y": "d + 1", "s": "y + 6", "z": "s + 2", "h": "z + 9", "n": "h + 13", "r": "n + 18", "d": 15}, "premises": {"d": 15}, "target": "l"}, "answer": {"steps": [["q", "d + 6", 21], ["x", "q + 6", 27], ["w", "x + 18", 45], ["f", "w + 19", 64], ["v", "f + 14", 78], ["l", "v + 15", 93]], "target_var_name": "l", "target_value": 93, "value_dict": {"d": 15, "q": 21, "x": 27, "w": 45, "f": 64, "v": 78, "l": 93}, "is_reverse": false}} | 810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 6; w = x + 18; h = z + 9; s = y + 6; v = f + 14; z = s + 2; f = w + 19; y = d + 1; d = 15; r = n + 18; n = h + 13; l = v + 15; x = q + 6. Given that d = 15, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = d + 6, which gives q = 21.\n2. Compute x using x = q + 6, which gives x = 27.\n3. Compute w using w = x + 18, which gives w = 45.\n4. Compute f using f = w + 19, which gives f = 64.\n5. Compute v using v = f + 14, which gives v = 78.\n6. Compute l using l = v + 15, which gives l = 93.\n\nThus, the final answer is l = \\boxed{93}.",
"index": 810,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 6; w = x + 18; h = z + 9; s = y + 6; v = f + 14; z = s + 2; f = w + 19; y = d + 1; d = 15; r = n + 18; n = h + 13; l = v + 15; x = q + 6. Given that d = 15, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 12", "p": "g + 15", "k": "p + 11", "w": "k + 7", "s": "w + 20", "y": "s + 4", "b": "m + 11", "c": "b + 5", "q": "c + 8", "n": "q + 17", "t": "n + 15", "a": "t + 4", "m": 6}, "premises": {"m": 6}, "target": "y"}, "answer": {"steps": [["g", "m + 12", 18], ["p", "g + 15", 33], ["k", "p + 11", 44], ["w", "k + 7", 51], ["s", "w + 20", 71], ["y", "s + 4", 75]], "target_var_name": "y", "target_value": 75, "value_dict": {"m": 6, "g": 18, "p": 33, "k": 44, "w": 51, "s": 71, "y": 75}, "is_reverse": false}} | 811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 11; k = p + 11; c = b + 5; g = m + 12; n = q + 17; y = s + 4; q = c + 8; t = n + 15; a = t + 4; s = w + 20; p = g + 15; w = k + 7; m = 6. Given that m = 6, 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 g using g = m + 12, which gives g = 18.\n2. Compute p using p = g + 15, which gives p = 33.\n3. Compute k using k = p + 11, which gives k = 44.\n4. Compute w using w = k + 7, which gives w = 51.\n5. Compute s using s = w + 20, which gives s = 71.\n6. Compute y using y = s + 4, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 811,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 11; k = p + 11; c = b + 5; g = m + 12; n = q + 17; y = s + 4; q = c + 8; t = n + 15; a = t + 4; s = w + 20; p = g + 15; w = k + 7; m = 6. Given that m = 6, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 17", "m": "s + 19", "x": "m + 1", "h": "x + 9", "d": "h + 14", "u": "d + 13", "n": "q + 2", "o": "n + 15", "c": "o + 1", "j": "c + 13", "z": "j + 18", "k": "z + 20", "q": 5}, "premises": {"q": 5}, "target": "u"}, "answer": {"steps": [["s", "q + 17", 22], ["m", "s + 19", 41], ["x", "m + 1", 42], ["h", "x + 9", 51], ["d", "h + 14", 65], ["u", "d + 13", 78]], "target_var_name": "u", "target_value": 78, "value_dict": {"q": 5, "s": 22, "m": 41, "x": 42, "h": 51, "d": 65, "u": 78}, "is_reverse": false}} | 812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 1; c = o + 1; h = x + 9; z = j + 18; k = z + 20; o = n + 15; u = d + 13; n = q + 2; s = q + 17; j = c + 13; d = h + 14; q = 5; m = s + 19. If q = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = q + 17, which gives s = 22.\n2. Compute m using m = s + 19, which gives m = 41.\n3. Compute x using x = m + 1, which gives x = 42.\n4. Compute h using h = x + 9, which gives h = 51.\n5. Compute d using d = h + 14, which gives d = 65.\n6. Compute u using u = d + 13, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 812,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 1; c = o + 1; h = x + 9; z = j + 18; k = z + 20; o = n + 15; u = d + 13; n = q + 2; s = q + 17; j = c + 13; d = h + 14; q = 5; m = s + 19. If q = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 12", "v": "z + 8", "m": "v + 3", "n": "m + 10", "l": "n + 13", "c": "l + 13", "k": "e + 6", "a": "k + 12", "x": "a + 19", "h": "x + 20", "t": "h + 7", "g": "t + 8", "e": 11}, "premises": {"e": 11}, "target": "c"}, "answer": {"steps": [["z", "e + 12", 23], ["v", "z + 8", 31], ["m", "v + 3", 34], ["n", "m + 10", 44], ["l", "n + 13", 57], ["c", "l + 13", 70]], "target_var_name": "c", "target_value": 70, "value_dict": {"e": 11, "z": 23, "v": 31, "m": 34, "n": 44, "l": 57, "c": 70}, "is_reverse": false}} | 813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 19; e = 11; c = l + 13; n = m + 10; g = t + 8; a = k + 12; z = e + 12; t = h + 7; m = v + 3; h = x + 20; k = e + 6; v = z + 8; l = n + 13. Given that e = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = e + 12, which gives z = 23.\n2. Compute v using v = z + 8, which gives v = 31.\n3. Compute m using m = v + 3, which gives m = 34.\n4. Compute n using n = m + 10, which gives n = 44.\n5. Compute l using l = n + 13, which gives l = 57.\n6. Compute c using c = l + 13, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 813,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 19; e = 11; c = l + 13; n = m + 10; g = t + 8; a = k + 12; z = e + 12; t = h + 7; m = v + 3; h = x + 20; k = e + 6; v = z + 8; l = n + 13. Given that e = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 2", "v": "m + 11", "q": "v + 20", "n": "q + 5", "x": "n + 13", "f": "x + 1", "j": "l + 10", "o": "j + 3", "w": "o + 9", "h": "w + 20", "u": "h + 12", "s": "u + 10", "l": 9}, "premises": {"l": 9}, "target": "f"}, "answer": {"steps": [["m", "l + 2", 11], ["v", "m + 11", 22], ["q", "v + 20", 42], ["n", "q + 5", 47], ["x", "n + 13", 60], ["f", "x + 1", 61]], "target_var_name": "f", "target_value": 61, "value_dict": {"l": 9, "m": 11, "v": 22, "q": 42, "n": 47, "x": 60, "f": 61}, "is_reverse": false}} | 814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = w + 20; q = v + 20; s = u + 10; o = j + 3; m = l + 2; v = m + 11; u = h + 12; n = q + 5; j = l + 10; f = x + 1; x = n + 13; l = 9; w = o + 9. If l = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = l + 2, which gives m = 11.\n2. Compute v using v = m + 11, which gives v = 22.\n3. Compute q using q = v + 20, which gives q = 42.\n4. Compute n using n = q + 5, which gives n = 47.\n5. Compute x using x = n + 13, which gives x = 60.\n6. Compute f using f = x + 1, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 814,
"question": "Consider a system of variables where each variable is defined as follows: h = w + 20; q = v + 20; s = u + 10; o = j + 3; m = l + 2; v = m + 11; u = h + 12; n = q + 5; j = l + 10; f = x + 1; x = n + 13; l = 9; w = o + 9. If l = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 4", "a": "c + 5", "y": "a + 16", "f": "y + 13", "l": "f + 17", "x": "l + 13", "t": "n + 8", "u": "t + 10", "e": "u + 4", "r": "e + 2", "m": "r + 6", "h": "m + 6", "n": 6}, "premises": {"n": 6}, "target": "x"}, "answer": {"steps": [["c", "n + 4", 10], ["a", "c + 5", 15], ["y", "a + 16", 31], ["f", "y + 13", 44], ["l", "f + 17", 61], ["x", "l + 13", 74]], "target_var_name": "x", "target_value": 74, "value_dict": {"n": 6, "c": 10, "a": 15, "y": 31, "f": 44, "l": 61, "x": 74}, "is_reverse": false}} | 815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = 6; c = n + 4; t = n + 8; e = u + 4; a = c + 5; l = f + 17; f = y + 13; h = m + 6; x = l + 13; y = a + 16; r = e + 2; u = t + 10; m = r + 6. If n = 6, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = n + 4, which gives c = 10.\n2. Compute a using a = c + 5, which gives a = 15.\n3. Compute y using y = a + 16, which gives y = 31.\n4. Compute f using f = y + 13, which gives f = 44.\n5. Compute l using l = f + 17, which gives l = 61.\n6. Compute x using x = l + 13, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 6; c = n + 4; t = n + 8; e = u + 4; a = c + 5; l = f + 17; f = y + 13; h = m + 6; x = l + 13; y = a + 16; r = e + 2; u = t + 10; m = r + 6. If n = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 18", "c": "i + 3", "f": "c + 2", "b": "f + 15", "g": "b + 2", "e": "g + 15", "x": "a + 2", "y": "x + 16", "z": "y + 8", "n": "z + 4", "w": "n + 17", "q": "w + 12", "a": 15}, "premises": {"a": 15}, "target": "e"}, "answer": {"steps": [["i", "a + 18", 33], ["c", "i + 3", 36], ["f", "c + 2", 38], ["b", "f + 15", 53], ["g", "b + 2", 55], ["e", "g + 15", 70]], "target_var_name": "e", "target_value": 70, "value_dict": {"a": 15, "i": 33, "c": 36, "f": 38, "b": 53, "g": 55, "e": 70}, "is_reverse": false}} | 816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = c + 2; y = x + 16; w = n + 17; c = i + 3; z = y + 8; q = w + 12; a = 15; n = z + 4; b = f + 15; e = g + 15; g = b + 2; i = a + 18; x = a + 2. Given that a = 15, find the value of e.",
"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 = a + 18, which gives i = 33.\n2. Compute c using c = i + 3, which gives c = 36.\n3. Compute f using f = c + 2, which gives f = 38.\n4. Compute b using b = f + 15, which gives b = 53.\n5. Compute g using g = b + 2, which gives g = 55.\n6. Compute e using e = g + 15, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 816,
"question": "Suppose a collection of variables is related by the following definitions: f = c + 2; y = x + 16; w = n + 17; c = i + 3; z = y + 8; q = w + 12; a = 15; n = z + 4; b = f + 15; e = g + 15; g = b + 2; i = a + 18; x = a + 2. Given that a = 15, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "i + 2", "m": "d + 7", "l": "m + 20", "k": "l + 16", "r": "k + 17", "g": "r + 13", "x": "i + 17", "u": "x + 5", "o": "u + 9", "w": "o + 7", "e": "w + 8", "j": "e + 15", "i": 1}, "premises": {"i": 1}, "target": "g"}, "answer": {"steps": [["d", "i + 2", 3], ["m", "d + 7", 10], ["l", "m + 20", 30], ["k", "l + 16", 46], ["r", "k + 17", 63], ["g", "r + 13", 76]], "target_var_name": "g", "target_value": 76, "value_dict": {"i": 1, "d": 3, "m": 10, "l": 30, "k": 46, "r": 63, "g": 76}, "is_reverse": false}} | 817 | 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 = l + 16; x = i + 17; l = m + 20; w = o + 7; m = d + 7; e = w + 8; u = x + 5; o = u + 9; g = r + 13; i = 1; r = k + 17; d = i + 2; j = e + 15. If i = 1, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = i + 2, which gives d = 3.\n2. Compute m using m = d + 7, which gives m = 10.\n3. Compute l using l = m + 20, which gives l = 30.\n4. Compute k using k = l + 16, which gives k = 46.\n5. Compute r using r = k + 17, which gives r = 63.\n6. Compute g using g = r + 13, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 817,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = l + 16; x = i + 17; l = m + 20; w = o + 7; m = d + 7; e = w + 8; u = x + 5; o = u + 9; g = r + 13; i = 1; r = k + 17; d = i + 2; j = e + 15. If i = 1, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 1", "l": "w + 18", "o": "l + 8", "b": "o + 1", "s": "b + 17", "j": "s + 4", "n": "h + 20", "v": "n + 8", "q": "v + 15", "r": "q + 19", "t": "r + 14", "c": "t + 15", "h": 8}, "premises": {"h": 8}, "target": "j"}, "answer": {"steps": [["w", "h + 1", 9], ["l", "w + 18", 27], ["o", "l + 8", 35], ["b", "o + 1", 36], ["s", "b + 17", 53], ["j", "s + 4", 57]], "target_var_name": "j", "target_value": 57, "value_dict": {"h": 8, "w": 9, "l": 27, "o": 35, "b": 36, "s": 53, "j": 57}, "is_reverse": false}} | 818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 1; j = s + 4; n = h + 20; c = t + 15; h = 8; t = r + 14; b = o + 1; q = v + 15; r = q + 19; s = b + 17; l = w + 18; o = l + 8; v = n + 8. If h = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = h + 1, which gives w = 9.\n2. Compute l using l = w + 18, which gives l = 27.\n3. Compute o using o = l + 8, which gives o = 35.\n4. Compute b using b = o + 1, which gives b = 36.\n5. Compute s using s = b + 17, which gives s = 53.\n6. Compute j using j = s + 4, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 818,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 1; j = s + 4; n = h + 20; c = t + 15; h = 8; t = r + 14; b = o + 1; q = v + 15; r = q + 19; s = b + 17; l = w + 18; o = l + 8; v = n + 8. If h = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 15", "b": "u + 4", "e": "b + 15", "s": "e + 9", "o": "s + 8", "z": "o + 5", "q": "h + 15", "x": "q + 18", "r": "x + 14", "w": "r + 14", "d": "w + 5", "v": "d + 17", "h": 12}, "premises": {"h": 12}, "target": "z"}, "answer": {"steps": [["u", "h + 15", 27], ["b", "u + 4", 31], ["e", "b + 15", 46], ["s", "e + 9", 55], ["o", "s + 8", 63], ["z", "o + 5", 68]], "target_var_name": "z", "target_value": 68, "value_dict": {"h": 12, "u": 27, "b": 31, "e": 46, "s": 55, "o": 63, "z": 68}, "is_reverse": false}} | 819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = r + 14; u = h + 15; s = e + 9; q = h + 15; v = d + 17; o = s + 8; z = o + 5; b = u + 4; d = w + 5; h = 12; e = b + 15; x = q + 18; r = x + 14. Given that h = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = h + 15, which gives u = 27.\n2. Compute b using b = u + 4, which gives b = 31.\n3. Compute e using e = b + 15, which gives e = 46.\n4. Compute s using s = e + 9, which gives s = 55.\n5. Compute o using o = s + 8, which gives o = 63.\n6. Compute z using z = o + 5, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 819,
"question": "Suppose a collection of variables is related by the following definitions: w = r + 14; u = h + 15; s = e + 9; q = h + 15; v = d + 17; o = s + 8; z = o + 5; b = u + 4; d = w + 5; h = 12; e = b + 15; x = q + 18; r = x + 14. Given that h = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 17", "l": "k + 1", "s": "l + 3", "w": "s + 10", "x": "w + 2", "d": "x + 4", "r": "j + 9", "t": "r + 13", "m": "t + 11", "f": "m + 17", "q": "f + 20", "z": "q + 5", "j": 14}, "premises": {"j": 14}, "target": "d"}, "answer": {"steps": [["k", "j + 17", 31], ["l", "k + 1", 32], ["s", "l + 3", 35], ["w", "s + 10", 45], ["x", "w + 2", 47], ["d", "x + 4", 51]], "target_var_name": "d", "target_value": 51, "value_dict": {"j": 14, "k": 31, "l": 32, "s": 35, "w": 45, "x": 47, "d": 51}, "is_reverse": false}} | 820 | 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 = l + 3; x = w + 2; m = t + 11; t = r + 13; q = f + 20; r = j + 9; l = k + 1; z = q + 5; d = x + 4; w = s + 10; f = m + 17; j = 14; k = j + 17. If j = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = j + 17, which gives k = 31.\n2. Compute l using l = k + 1, which gives l = 32.\n3. Compute s using s = l + 3, which gives s = 35.\n4. Compute w using w = s + 10, which gives w = 45.\n5. Compute x using x = w + 2, which gives x = 47.\n6. Compute d using d = x + 4, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 820,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = l + 3; x = w + 2; m = t + 11; t = r + 13; q = f + 20; r = j + 9; l = k + 1; z = q + 5; d = x + 4; w = s + 10; f = m + 17; j = 14; k = j + 17. If j = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 9", "t": "e + 1", "x": "t + 7", "r": "x + 20", "d": "r + 20", "l": "d + 15", "m": "b + 9", "q": "m + 17", "o": "q + 20", "j": "o + 13", "h": "j + 11", "n": "h + 17", "b": 15}, "premises": {"b": 15}, "target": "l"}, "answer": {"steps": [["e", "b + 9", 24], ["t", "e + 1", 25], ["x", "t + 7", 32], ["r", "x + 20", 52], ["d", "r + 20", 72], ["l", "d + 15", 87]], "target_var_name": "l", "target_value": 87, "value_dict": {"b": 15, "e": 24, "t": 25, "x": 32, "r": 52, "d": 72, "l": 87}, "is_reverse": false}} | 821 | 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 = o + 13; r = x + 20; e = b + 9; h = j + 11; d = r + 20; m = b + 9; o = q + 20; q = m + 17; x = t + 7; l = d + 15; t = e + 1; n = h + 17; b = 15. If b = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = b + 9, which gives e = 24.\n2. Compute t using t = e + 1, which gives t = 25.\n3. Compute x using x = t + 7, which gives x = 32.\n4. Compute r using r = x + 20, which gives r = 52.\n5. Compute d using d = r + 20, which gives d = 72.\n6. Compute l using l = d + 15, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 821,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 13; r = x + 20; e = b + 9; h = j + 11; d = r + 20; m = b + 9; o = q + 20; q = m + 17; x = t + 7; l = d + 15; t = e + 1; n = h + 17; b = 15. If b = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 10", "o": "v + 18", "i": "o + 1", "y": "i + 5", "s": "y + 16", "j": "s + 4", "k": "l + 6", "x": "k + 15", "d": "x + 10", "n": "d + 20", "q": "n + 18", "m": "q + 19", "l": 20}, "premises": {"l": 20}, "target": "j"}, "answer": {"steps": [["v", "l + 10", 30], ["o", "v + 18", 48], ["i", "o + 1", 49], ["y", "i + 5", 54], ["s", "y + 16", 70], ["j", "s + 4", 74]], "target_var_name": "j", "target_value": 74, "value_dict": {"l": 20, "v": 30, "o": 48, "i": 49, "y": 54, "s": 70, "j": 74}, "is_reverse": false}} | 822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = s + 4; s = y + 16; k = l + 6; l = 20; o = v + 18; y = i + 5; i = o + 1; n = d + 20; m = q + 19; q = n + 18; d = x + 10; v = l + 10; x = k + 15. Given that l = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = l + 10, which gives v = 30.\n2. Compute o using o = v + 18, which gives o = 48.\n3. Compute i using i = o + 1, which gives i = 49.\n4. Compute y using y = i + 5, which gives y = 54.\n5. Compute s using s = y + 16, which gives s = 70.\n6. Compute j using j = s + 4, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 822,
"question": "Suppose a collection of variables is related by the following definitions: j = s + 4; s = y + 16; k = l + 6; l = 20; o = v + 18; y = i + 5; i = o + 1; n = d + 20; m = q + 19; q = n + 18; d = x + 10; v = l + 10; x = k + 15. Given that l = 20, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 5", "t": "n + 18", "s": "t + 20", "p": "s + 6", "k": "p + 16", "x": "k + 17", "q": "g + 14", "w": "q + 14", "v": "w + 17", "l": "v + 14", "o": "l + 18", "d": "o + 10", "g": 11}, "premises": {"g": 11}, "target": "x"}, "answer": {"steps": [["n", "g + 5", 16], ["t", "n + 18", 34], ["s", "t + 20", 54], ["p", "s + 6", 60], ["k", "p + 16", 76], ["x", "k + 17", 93]], "target_var_name": "x", "target_value": 93, "value_dict": {"g": 11, "n": 16, "t": 34, "s": 54, "p": 60, "k": 76, "x": 93}, "is_reverse": false}} | 823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 17; v = w + 17; w = q + 14; d = o + 10; p = s + 6; l = v + 14; t = n + 18; s = t + 20; n = g + 5; k = p + 16; g = 11; q = g + 14; o = l + 18. If g = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = g + 5, which gives n = 16.\n2. Compute t using t = n + 18, which gives t = 34.\n3. Compute s using s = t + 20, which gives s = 54.\n4. Compute p using p = s + 6, which gives p = 60.\n5. Compute k using k = p + 16, which gives k = 76.\n6. Compute x using x = k + 17, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 823,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 17; v = w + 17; w = q + 14; d = o + 10; p = s + 6; l = v + 14; t = n + 18; s = t + 20; n = g + 5; k = p + 16; g = 11; q = g + 14; o = l + 18. If g = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 19", "e": "f + 19", "z": "e + 5", "l": "z + 20", "y": "l + 9", "h": "y + 20", "d": "s + 6", "c": "d + 10", "g": "c + 12", "k": "g + 20", "v": "k + 17", "n": "v + 15", "s": 10}, "premises": {"s": 10}, "target": "h"}, "answer": {"steps": [["f", "s + 19", 29], ["e", "f + 19", 48], ["z", "e + 5", 53], ["l", "z + 20", 73], ["y", "l + 9", 82], ["h", "y + 20", 102]], "target_var_name": "h", "target_value": 102, "value_dict": {"s": 10, "f": 29, "e": 48, "z": 53, "l": 73, "y": 82, "h": 102}, "is_reverse": false}} | 824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 19; s = 10; l = z + 20; f = s + 19; h = y + 20; g = c + 12; k = g + 20; c = d + 10; y = l + 9; n = v + 15; z = e + 5; v = k + 17; d = s + 6. Given that s = 10, find the value of h.",
"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 = s + 19, which gives f = 29.\n2. Compute e using e = f + 19, which gives e = 48.\n3. Compute z using z = e + 5, which gives z = 53.\n4. Compute l using l = z + 20, which gives l = 73.\n5. Compute y using y = l + 9, which gives y = 82.\n6. Compute h using h = y + 20, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 824,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 19; s = 10; l = z + 20; f = s + 19; h = y + 20; g = c + 12; k = g + 20; c = d + 10; y = l + 9; n = v + 15; z = e + 5; v = k + 17; d = s + 6. Given that s = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 15", "h": "o + 6", "k": "h + 8", "j": "k + 10", "g": "j + 18", "v": "g + 11", "t": "m + 13", "e": "t + 11", "q": "e + 5", "r": "q + 15", "p": "r + 12", "x": "p + 8", "m": 4}, "premises": {"m": 4}, "target": "v"}, "answer": {"steps": [["o", "m + 15", 19], ["h", "o + 6", 25], ["k", "h + 8", 33], ["j", "k + 10", 43], ["g", "j + 18", 61], ["v", "g + 11", 72]], "target_var_name": "v", "target_value": 72, "value_dict": {"m": 4, "o": 19, "h": 25, "k": 33, "j": 43, "g": 61, "v": 72}, "is_reverse": false}} | 825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 12; e = t + 11; m = 4; q = e + 5; r = q + 15; v = g + 11; j = k + 10; g = j + 18; h = o + 6; t = m + 13; k = h + 8; o = m + 15; x = p + 8. Given that m = 4, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = m + 15, which gives o = 19.\n2. Compute h using h = o + 6, which gives h = 25.\n3. Compute k using k = h + 8, which gives k = 33.\n4. Compute j using j = k + 10, which gives j = 43.\n5. Compute g using g = j + 18, which gives g = 61.\n6. Compute v using v = g + 11, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 825,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 12; e = t + 11; m = 4; q = e + 5; r = q + 15; v = g + 11; j = k + 10; g = j + 18; h = o + 6; t = m + 13; k = h + 8; o = m + 15; x = p + 8. Given that m = 4, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 3", "k": "u + 8", "a": "k + 16", "g": "a + 20", "y": "g + 11", "b": "y + 18", "v": "t + 12", "s": "v + 16", "m": "s + 14", "j": "m + 20", "n": "j + 18", "r": "n + 20", "t": 19}, "premises": {"t": 19}, "target": "b"}, "answer": {"steps": [["u", "t + 3", 22], ["k", "u + 8", 30], ["a", "k + 16", 46], ["g", "a + 20", 66], ["y", "g + 11", 77], ["b", "y + 18", 95]], "target_var_name": "b", "target_value": 95, "value_dict": {"t": 19, "u": 22, "k": 30, "a": 46, "g": 66, "y": 77, "b": 95}, "is_reverse": false}} | 826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = n + 20; u = t + 3; y = g + 11; b = y + 18; v = t + 12; k = u + 8; t = 19; n = j + 18; s = v + 16; m = s + 14; a = k + 16; j = m + 20; g = a + 20. Given that t = 19, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = t + 3, which gives u = 22.\n2. Compute k using k = u + 8, which gives k = 30.\n3. Compute a using a = k + 16, which gives a = 46.\n4. Compute g using g = a + 20, which gives g = 66.\n5. Compute y using y = g + 11, which gives y = 77.\n6. Compute b using b = y + 18, which gives b = 95.\n\nThus, the final answer is b = \\boxed{95}.",
"index": 826,
"question": "Suppose a collection of variables is related by the following definitions: r = n + 20; u = t + 3; y = g + 11; b = y + 18; v = t + 12; k = u + 8; t = 19; n = j + 18; s = v + 16; m = s + 14; a = k + 16; j = m + 20; g = a + 20. Given that t = 19, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "q + 8", "f": "h + 19", "n": "f + 4", "g": "n + 15", "p": "g + 15", "z": "p + 3", "i": "q + 11", "u": "i + 18", "m": "u + 12", "w": "m + 14", "e": "w + 11", "j": "e + 13", "q": 10}, "premises": {"q": 10}, "target": "z"}, "answer": {"steps": [["h", "q + 8", 18], ["f", "h + 19", 37], ["n", "f + 4", 41], ["g", "n + 15", 56], ["p", "g + 15", 71], ["z", "p + 3", 74]], "target_var_name": "z", "target_value": 74, "value_dict": {"q": 10, "h": 18, "f": 37, "n": 41, "g": 56, "p": 71, "z": 74}, "is_reverse": false}} | 827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 14; i = q + 11; n = f + 4; z = p + 3; f = h + 19; j = e + 13; q = 10; g = n + 15; h = q + 8; e = w + 11; p = g + 15; m = u + 12; u = i + 18. Given that q = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = q + 8, which gives h = 18.\n2. Compute f using f = h + 19, which gives f = 37.\n3. Compute n using n = f + 4, which gives n = 41.\n4. Compute g using g = n + 15, which gives g = 56.\n5. Compute p using p = g + 15, which gives p = 71.\n6. Compute z using z = p + 3, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 827,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 14; i = q + 11; n = f + 4; z = p + 3; f = h + 19; j = e + 13; q = 10; g = n + 15; h = q + 8; e = w + 11; p = g + 15; m = u + 12; u = i + 18. Given that q = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 19", "d": "b + 2", "q": "d + 17", "i": "q + 14", "w": "i + 19", "m": "w + 8", "n": "k + 8", "x": "n + 14", "h": "x + 15", "s": "h + 3", "e": "s + 3", "z": "e + 10", "k": 19}, "premises": {"k": 19}, "target": "m"}, "answer": {"steps": [["b", "k + 19", 38], ["d", "b + 2", 40], ["q", "d + 17", 57], ["i", "q + 14", 71], ["w", "i + 19", 90], ["m", "w + 8", 98]], "target_var_name": "m", "target_value": 98, "value_dict": {"k": 19, "b": 38, "d": 40, "q": 57, "i": 71, "w": 90, "m": 98}, "is_reverse": false}} | 828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = x + 15; s = h + 3; i = q + 14; q = d + 17; n = k + 8; x = n + 14; b = k + 19; d = b + 2; z = e + 10; w = i + 19; k = 19; m = w + 8; e = s + 3. Given that k = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = k + 19, which gives b = 38.\n2. Compute d using d = b + 2, which gives d = 40.\n3. Compute q using q = d + 17, which gives q = 57.\n4. Compute i using i = q + 14, which gives i = 71.\n5. Compute w using w = i + 19, which gives w = 90.\n6. Compute m using m = w + 8, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 828,
"question": "Suppose a collection of variables is related by the following definitions: h = x + 15; s = h + 3; i = q + 14; q = d + 17; n = k + 8; x = n + 14; b = k + 19; d = b + 2; z = e + 10; w = i + 19; k = 19; m = w + 8; e = s + 3. Given that k = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 1", "k": "w + 17", "x": "k + 15", "a": "x + 10", "t": "a + 10", "c": "t + 5", "p": "i + 20", "s": "p + 12", "r": "s + 10", "f": "r + 12", "h": "f + 10", "v": "h + 3", "i": 12}, "premises": {"i": 12}, "target": "c"}, "answer": {"steps": [["w", "i + 1", 13], ["k", "w + 17", 30], ["x", "k + 15", 45], ["a", "x + 10", 55], ["t", "a + 10", 65], ["c", "t + 5", 70]], "target_var_name": "c", "target_value": 70, "value_dict": {"i": 12, "w": 13, "k": 30, "x": 45, "a": 55, "t": 65, "c": 70}, "is_reverse": false}} | 829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 10; p = i + 20; r = s + 10; s = p + 12; a = x + 10; w = i + 1; t = a + 10; c = t + 5; i = 12; v = h + 3; x = k + 15; f = r + 12; k = w + 17. If i = 12, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = i + 1, which gives w = 13.\n2. Compute k using k = w + 17, which gives k = 30.\n3. Compute x using x = k + 15, which gives x = 45.\n4. Compute a using a = x + 10, which gives a = 55.\n5. Compute t using t = a + 10, which gives t = 65.\n6. Compute c using c = t + 5, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 829,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 10; p = i + 20; r = s + 10; s = p + 12; a = x + 10; w = i + 1; t = a + 10; c = t + 5; i = 12; v = h + 3; x = k + 15; f = r + 12; k = w + 17. If i = 12, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "o + 7", "w": "q + 4", "h": "w + 1", "b": "h + 7", "g": "b + 19", "u": "g + 13", "r": "o + 6", "t": "r + 16", "p": "t + 12", "s": "p + 6", "v": "s + 12", "a": "v + 7", "o": 7}, "premises": {"o": 7}, "target": "u"}, "answer": {"steps": [["q", "o + 7", 14], ["w", "q + 4", 18], ["h", "w + 1", 19], ["b", "h + 7", 26], ["g", "b + 19", 45], ["u", "g + 13", 58]], "target_var_name": "u", "target_value": 58, "value_dict": {"o": 7, "q": 14, "w": 18, "h": 19, "b": 26, "g": 45, "u": 58}, "is_reverse": false}} | 830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = t + 12; h = w + 1; u = g + 13; b = h + 7; w = q + 4; o = 7; r = o + 6; v = s + 12; g = b + 19; q = o + 7; s = p + 6; t = r + 16; a = v + 7. Given that o = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = o + 7, which gives q = 14.\n2. Compute w using w = q + 4, which gives w = 18.\n3. Compute h using h = w + 1, which gives h = 19.\n4. Compute b using b = h + 7, which gives b = 26.\n5. Compute g using g = b + 19, which gives g = 45.\n6. Compute u using u = g + 13, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 830,
"question": "Suppose a collection of variables is related by the following definitions: p = t + 12; h = w + 1; u = g + 13; b = h + 7; w = q + 4; o = 7; r = o + 6; v = s + 12; g = b + 19; q = o + 7; s = p + 6; t = r + 16; a = v + 7. Given that o = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "a + 3", "n": "b + 10", "d": "n + 7", "w": "d + 1", "u": "w + 11", "y": "u + 11", "q": "a + 18", "o": "q + 19", "s": "o + 15", "m": "s + 11", "f": "m + 6", "i": "f + 3", "a": 7}, "premises": {"a": 7}, "target": "y"}, "answer": {"steps": [["b", "a + 3", 10], ["n", "b + 10", 20], ["d", "n + 7", 27], ["w", "d + 1", 28], ["u", "w + 11", 39], ["y", "u + 11", 50]], "target_var_name": "y", "target_value": 50, "value_dict": {"a": 7, "b": 10, "n": 20, "d": 27, "w": 28, "u": 39, "y": 50}, "is_reverse": false}} | 831 | 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 = s + 11; q = a + 18; y = u + 11; w = d + 1; s = o + 15; u = w + 11; d = n + 7; i = f + 3; a = 7; b = a + 3; o = q + 19; n = b + 10; f = m + 6. If a = 7, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = a + 3, which gives b = 10.\n2. Compute n using n = b + 10, which gives n = 20.\n3. Compute d using d = n + 7, which gives d = 27.\n4. Compute w using w = d + 1, which gives w = 28.\n5. Compute u using u = w + 11, which gives u = 39.\n6. Compute y using y = u + 11, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 831,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 11; q = a + 18; y = u + 11; w = d + 1; s = o + 15; u = w + 11; d = n + 7; i = f + 3; a = 7; b = a + 3; o = q + 19; n = b + 10; f = m + 6. If a = 7, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 19", "s": "r + 2", "x": "s + 15", "p": "x + 1", "c": "p + 6", "b": "c + 17", "d": "u + 5", "a": "d + 11", "k": "a + 14", "q": "k + 11", "l": "q + 15", "o": "l + 19", "u": 1}, "premises": {"u": 1}, "target": "b"}, "answer": {"steps": [["r", "u + 19", 20], ["s", "r + 2", 22], ["x", "s + 15", 37], ["p", "x + 1", 38], ["c", "p + 6", 44], ["b", "c + 17", 61]], "target_var_name": "b", "target_value": 61, "value_dict": {"u": 1, "r": 20, "s": 22, "x": 37, "p": 38, "c": 44, "b": 61}, "is_reverse": false}} | 832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 11; b = c + 17; s = r + 2; o = l + 19; q = k + 11; x = s + 15; l = q + 15; r = u + 19; k = a + 14; c = p + 6; d = u + 5; u = 1; p = x + 1. Given that u = 1, find the value of b.",
"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 = u + 19, which gives r = 20.\n2. Compute s using s = r + 2, which gives s = 22.\n3. Compute x using x = s + 15, which gives x = 37.\n4. Compute p using p = x + 1, which gives p = 38.\n5. Compute c using c = p + 6, which gives c = 44.\n6. Compute b using b = c + 17, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 832,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 11; b = c + 17; s = r + 2; o = l + 19; q = k + 11; x = s + 15; l = q + 15; r = u + 19; k = a + 14; c = p + 6; d = u + 5; u = 1; p = x + 1. Given that u = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 17", "c": "i + 14", "b": "c + 20", "w": "b + 13", "r": "w + 7", "j": "r + 9", "k": "n + 17", "v": "k + 11", "g": "v + 20", "m": "g + 9", "t": "m + 6", "p": "t + 1", "n": 7}, "premises": {"n": 7}, "target": "j"}, "answer": {"steps": [["i", "n + 17", 24], ["c", "i + 14", 38], ["b", "c + 20", 58], ["w", "b + 13", 71], ["r", "w + 7", 78], ["j", "r + 9", 87]], "target_var_name": "j", "target_value": 87, "value_dict": {"n": 7, "i": 24, "c": 38, "b": 58, "w": 71, "r": 78, "j": 87}, "is_reverse": false}} | 833 | 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 = w + 7; m = g + 9; j = r + 9; g = v + 20; n = 7; w = b + 13; k = n + 17; v = k + 11; c = i + 14; t = m + 6; i = n + 17; b = c + 20; p = t + 1. If n = 7, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = n + 17, which gives i = 24.\n2. Compute c using c = i + 14, which gives c = 38.\n3. Compute b using b = c + 20, which gives b = 58.\n4. Compute w using w = b + 13, which gives w = 71.\n5. Compute r using r = w + 7, which gives r = 78.\n6. Compute j using j = r + 9, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 7; m = g + 9; j = r + 9; g = v + 20; n = 7; w = b + 13; k = n + 17; v = k + 11; c = i + 14; t = m + 6; i = n + 17; b = c + 20; p = t + 1. If n = 7, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 1", "e": "b + 12", "f": "e + 16", "g": "f + 17", "z": "g + 7", "p": "z + 10", "x": "r + 13", "y": "x + 19", "h": "y + 2", "l": "h + 10", "a": "l + 9", "v": "a + 20", "r": 7}, "premises": {"r": 7}, "target": "p"}, "answer": {"steps": [["b", "r + 1", 8], ["e", "b + 12", 20], ["f", "e + 16", 36], ["g", "f + 17", 53], ["z", "g + 7", 60], ["p", "z + 10", 70]], "target_var_name": "p", "target_value": 70, "value_dict": {"r": 7, "b": 8, "e": 20, "f": 36, "g": 53, "z": 60, "p": 70}, "is_reverse": false}} | 834 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 19; v = a + 20; f = e + 16; p = z + 10; r = 7; x = r + 13; h = y + 2; e = b + 12; a = l + 9; z = g + 7; l = h + 10; g = f + 17; b = r + 1. Given that r = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = r + 1, which gives b = 8.\n2. Compute e using e = b + 12, which gives e = 20.\n3. Compute f using f = e + 16, which gives f = 36.\n4. Compute g using g = f + 17, which gives g = 53.\n5. Compute z using z = g + 7, which gives z = 60.\n6. Compute p using p = z + 10, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 834,
"question": "Suppose a collection of variables is related by the following definitions: y = x + 19; v = a + 20; f = e + 16; p = z + 10; r = 7; x = r + 13; h = y + 2; e = b + 12; a = l + 9; z = g + 7; l = h + 10; g = f + 17; b = r + 1. Given that r = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 1", "p": "r + 9", "n": "p + 17", "o": "n + 15", "l": "o + 11", "z": "l + 7", "s": "v + 10", "c": "s + 1", "y": "c + 5", "w": "y + 12", "m": "w + 3", "t": "m + 14", "v": 10}, "premises": {"v": 10}, "target": "z"}, "answer": {"steps": [["r", "v + 1", 11], ["p", "r + 9", 20], ["n", "p + 17", 37], ["o", "n + 15", 52], ["l", "o + 11", 63], ["z", "l + 7", 70]], "target_var_name": "z", "target_value": 70, "value_dict": {"v": 10, "r": 11, "p": 20, "n": 37, "o": 52, "l": 63, "z": 70}, "is_reverse": false}} | 835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 12; r = v + 1; l = o + 11; m = w + 3; y = c + 5; s = v + 10; z = l + 7; v = 10; n = p + 17; p = r + 9; o = n + 15; t = m + 14; c = s + 1. Given that v = 10, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = v + 1, which gives r = 11.\n2. Compute p using p = r + 9, which gives p = 20.\n3. Compute n using n = p + 17, which gives n = 37.\n4. Compute o using o = n + 15, which gives o = 52.\n5. Compute l using l = o + 11, which gives l = 63.\n6. Compute z using z = l + 7, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 835,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 12; r = v + 1; l = o + 11; m = w + 3; y = c + 5; s = v + 10; z = l + 7; v = 10; n = p + 17; p = r + 9; o = n + 15; t = m + 14; c = s + 1. Given that v = 10, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "i + 20", "v": "q + 17", "w": "v + 9", "z": "w + 18", "m": "z + 7", "b": "m + 7", "r": "i + 14", "c": "r + 10", "x": "c + 12", "u": "x + 10", "f": "u + 16", "e": "f + 4", "i": 5}, "premises": {"i": 5}, "target": "b"}, "answer": {"steps": [["q", "i + 20", 25], ["v", "q + 17", 42], ["w", "v + 9", 51], ["z", "w + 18", 69], ["m", "z + 7", 76], ["b", "m + 7", 83]], "target_var_name": "b", "target_value": 83, "value_dict": {"i": 5, "q": 25, "v": 42, "w": 51, "z": 69, "m": 76, "b": 83}, "is_reverse": false}} | 836 | 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 = v + 9; i = 5; f = u + 16; m = z + 7; v = q + 17; z = w + 18; c = r + 10; b = m + 7; e = f + 4; u = x + 10; r = i + 14; x = c + 12; q = i + 20. If i = 5, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = i + 20, which gives q = 25.\n2. Compute v using v = q + 17, which gives v = 42.\n3. Compute w using w = v + 9, which gives w = 51.\n4. Compute z using z = w + 18, which gives z = 69.\n5. Compute m using m = z + 7, which gives m = 76.\n6. Compute b using b = m + 7, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = v + 9; i = 5; f = u + 16; m = z + 7; v = q + 17; z = w + 18; c = r + 10; b = m + 7; e = f + 4; u = x + 10; r = i + 14; x = c + 12; q = i + 20. If i = 5, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 18", "n": "g + 13", "t": "n + 2", "b": "t + 19", "d": "b + 19", "u": "d + 12", "p": "s + 6", "y": "p + 4", "k": "y + 2", "m": "k + 17", "v": "m + 1", "l": "v + 12", "s": 10}, "premises": {"s": 10}, "target": "u"}, "answer": {"steps": [["g", "s + 18", 28], ["n", "g + 13", 41], ["t", "n + 2", 43], ["b", "t + 19", 62], ["d", "b + 19", 81], ["u", "d + 12", 93]], "target_var_name": "u", "target_value": 93, "value_dict": {"s": 10, "g": 28, "n": 41, "t": 43, "b": 62, "d": 81, "u": 93}, "is_reverse": false}} | 837 | 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 = t + 19; y = p + 4; n = g + 13; l = v + 12; u = d + 12; k = y + 2; t = n + 2; p = s + 6; s = 10; g = s + 18; d = b + 19; v = m + 1; m = k + 17. If s = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = s + 18, which gives g = 28.\n2. Compute n using n = g + 13, which gives n = 41.\n3. Compute t using t = n + 2, which gives t = 43.\n4. Compute b using b = t + 19, which gives b = 62.\n5. Compute d using d = b + 19, which gives d = 81.\n6. Compute u using u = d + 12, which gives u = 93.\n\nThus, the final answer is u = \\boxed{93}.",
"index": 837,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 19; y = p + 4; n = g + 13; l = v + 12; u = d + 12; k = y + 2; t = n + 2; p = s + 6; s = 10; g = s + 18; d = b + 19; v = m + 1; m = k + 17. If s = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 2", "t": "m + 5", "o": "t + 12", "x": "o + 15", "y": "x + 1", "a": "y + 2", "n": "s + 3", "v": "n + 16", "e": "v + 15", "r": "e + 10", "u": "r + 16", "h": "u + 10", "s": 10}, "premises": {"s": 10}, "target": "a"}, "answer": {"steps": [["m", "s + 2", 12], ["t", "m + 5", 17], ["o", "t + 12", 29], ["x", "o + 15", 44], ["y", "x + 1", 45], ["a", "y + 2", 47]], "target_var_name": "a", "target_value": 47, "value_dict": {"s": 10, "m": 12, "t": 17, "o": 29, "x": 44, "y": 45, "a": 47}, "is_reverse": false}} | 838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 5; e = v + 15; n = s + 3; y = x + 1; u = r + 16; h = u + 10; a = y + 2; x = o + 15; m = s + 2; r = e + 10; o = t + 12; v = n + 16; s = 10. If s = 10, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = s + 2, which gives m = 12.\n2. Compute t using t = m + 5, which gives t = 17.\n3. Compute o using o = t + 12, which gives o = 29.\n4. Compute x using x = o + 15, which gives x = 44.\n5. Compute y using y = x + 1, which gives y = 45.\n6. Compute a using a = y + 2, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 838,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 5; e = v + 15; n = s + 3; y = x + 1; u = r + 16; h = u + 10; a = y + 2; x = o + 15; m = s + 2; r = e + 10; o = t + 12; v = n + 16; s = 10. If s = 10, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 2", "w": "o + 2", "z": "w + 5", "m": "z + 19", "t": "m + 12", "n": "t + 4", "c": "b + 18", "a": "c + 9", "v": "a + 4", "p": "v + 17", "q": "p + 2", "i": "q + 18", "b": 17}, "premises": {"b": 17}, "target": "n"}, "answer": {"steps": [["o", "b + 2", 19], ["w", "o + 2", 21], ["z", "w + 5", 26], ["m", "z + 19", 45], ["t", "m + 12", 57], ["n", "t + 4", 61]], "target_var_name": "n", "target_value": 61, "value_dict": {"b": 17, "o": 19, "w": 21, "z": 26, "m": 45, "t": 57, "n": 61}, "is_reverse": false}} | 839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 17; q = p + 2; z = w + 5; w = o + 2; n = t + 4; a = c + 9; i = q + 18; m = z + 19; t = m + 12; c = b + 18; o = b + 2; v = a + 4; b = 17. If b = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = b + 2, which gives o = 19.\n2. Compute w using w = o + 2, which gives w = 21.\n3. Compute z using z = w + 5, which gives z = 26.\n4. Compute m using m = z + 19, which gives m = 45.\n5. Compute t using t = m + 12, which gives t = 57.\n6. Compute n using n = t + 4, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 839,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 17; q = p + 2; z = w + 5; w = o + 2; n = t + 4; a = c + 9; i = q + 18; m = z + 19; t = m + 12; c = b + 18; o = b + 2; v = a + 4; b = 17. If b = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 9", "q": "y + 19", "g": "q + 6", "j": "g + 6", "a": "j + 18", "r": "a + 4", "e": "u + 20", "d": "e + 5", "o": "d + 4", "x": "o + 8", "f": "x + 9", "m": "f + 1", "u": 15}, "premises": {"u": 15}, "target": "r"}, "answer": {"steps": [["y", "u + 9", 24], ["q", "y + 19", 43], ["g", "q + 6", 49], ["j", "g + 6", 55], ["a", "j + 18", 73], ["r", "a + 4", 77]], "target_var_name": "r", "target_value": 77, "value_dict": {"u": 15, "y": 24, "q": 43, "g": 49, "j": 55, "a": 73, "r": 77}, "is_reverse": false}} | 840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = e + 5; e = u + 20; y = u + 9; j = g + 6; g = q + 6; r = a + 4; x = o + 8; q = y + 19; m = f + 1; f = x + 9; a = j + 18; u = 15; o = d + 4. If u = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = u + 9, which gives y = 24.\n2. Compute q using q = y + 19, which gives q = 43.\n3. Compute g using g = q + 6, which gives g = 49.\n4. Compute j using j = g + 6, which gives j = 55.\n5. Compute a using a = j + 18, which gives a = 73.\n6. Compute r using r = a + 4, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 840,
"question": "Consider a system of variables where each variable is defined as follows: d = e + 5; e = u + 20; y = u + 9; j = g + 6; g = q + 6; r = a + 4; x = o + 8; q = y + 19; m = f + 1; f = x + 9; a = j + 18; u = 15; o = d + 4. If u = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 2", "r": "c + 2", "e": "r + 4", "a": "e + 3", "w": "a + 10", "d": "w + 14", "b": "f + 17", "o": "b + 8", "j": "o + 8", "h": "j + 19", "x": "h + 2", "m": "x + 2", "f": 9}, "premises": {"f": 9}, "target": "d"}, "answer": {"steps": [["c", "f + 2", 11], ["r", "c + 2", 13], ["e", "r + 4", 17], ["a", "e + 3", 20], ["w", "a + 10", 30], ["d", "w + 14", 44]], "target_var_name": "d", "target_value": 44, "value_dict": {"f": 9, "c": 11, "r": 13, "e": 17, "a": 20, "w": 30, "d": 44}, "is_reverse": false}} | 841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = j + 19; m = x + 2; o = b + 8; d = w + 14; b = f + 17; j = o + 8; r = c + 2; x = h + 2; f = 9; a = e + 3; w = a + 10; e = r + 4; c = f + 2. Given that f = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = f + 2, which gives c = 11.\n2. Compute r using r = c + 2, which gives r = 13.\n3. Compute e using e = r + 4, which gives e = 17.\n4. Compute a using a = e + 3, which gives a = 20.\n5. Compute w using w = a + 10, which gives w = 30.\n6. Compute d using d = w + 14, which gives d = 44.\n\nThus, the final answer is d = \\boxed{44}.",
"index": 841,
"question": "Suppose a collection of variables is related by the following definitions: h = j + 19; m = x + 2; o = b + 8; d = w + 14; b = f + 17; j = o + 8; r = c + 2; x = h + 2; f = 9; a = e + 3; w = a + 10; e = r + 4; c = f + 2. Given that f = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 14", "l": "s + 19", "g": "l + 8", "x": "g + 12", "v": "x + 5", "q": "v + 9", "m": "y + 2", "n": "m + 12", "u": "n + 5", "f": "u + 3", "j": "f + 10", "a": "j + 12", "y": 8}, "premises": {"y": 8}, "target": "q"}, "answer": {"steps": [["s", "y + 14", 22], ["l", "s + 19", 41], ["g", "l + 8", 49], ["x", "g + 12", 61], ["v", "x + 5", 66], ["q", "v + 9", 75]], "target_var_name": "q", "target_value": 75, "value_dict": {"y": 8, "s": 22, "l": 41, "g": 49, "x": 61, "v": 66, "q": 75}, "is_reverse": false}} | 842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 8; v = x + 5; s = y + 14; m = y + 2; a = j + 12; n = m + 12; j = f + 10; u = n + 5; l = s + 19; f = u + 3; g = l + 8; x = g + 12; q = v + 9. Given that y = 8, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = y + 14, which gives s = 22.\n2. Compute l using l = s + 19, which gives l = 41.\n3. Compute g using g = l + 8, which gives g = 49.\n4. Compute x using x = g + 12, which gives x = 61.\n5. Compute v using v = x + 5, which gives v = 66.\n6. Compute q using q = v + 9, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 842,
"question": "Suppose a collection of variables is related by the following definitions: y = 8; v = x + 5; s = y + 14; m = y + 2; a = j + 12; n = m + 12; j = f + 10; u = n + 5; l = s + 19; f = u + 3; g = l + 8; x = g + 12; q = v + 9. Given that y = 8, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"x": "d + 4", "h": "x + 8", "y": "h + 3", "g": "y + 8", "r": "g + 18", "o": "r + 3", "k": "d + 10", "q": "k + 13", "e": "q + 1", "u": "e + 17", "t": "u + 19", "m": "t + 10", "d": 19}, "premises": {"d": 19}, "target": "o"}, "answer": {"steps": [["x", "d + 4", 23], ["h", "x + 8", 31], ["y", "h + 3", 34], ["g", "y + 8", 42], ["r", "g + 18", 60], ["o", "r + 3", 63]], "target_var_name": "o", "target_value": 63, "value_dict": {"d": 19, "x": 23, "h": 31, "y": 34, "g": 42, "r": 60, "o": 63}, "is_reverse": false}} | 843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 4; y = h + 3; m = t + 10; e = q + 1; g = y + 8; r = g + 18; q = k + 13; k = d + 10; o = r + 3; d = 19; h = x + 8; u = e + 17; t = u + 19. If d = 19, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = d + 4, which gives x = 23.\n2. Compute h using h = x + 8, which gives h = 31.\n3. Compute y using y = h + 3, which gives y = 34.\n4. Compute g using g = y + 8, which gives g = 42.\n5. Compute r using r = g + 18, which gives r = 60.\n6. Compute o using o = r + 3, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 843,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 4; y = h + 3; m = t + 10; e = q + 1; g = y + 8; r = g + 18; q = k + 13; k = d + 10; o = r + 3; d = 19; h = x + 8; u = e + 17; t = u + 19. If d = 19, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 15", "k": "u + 17", "f": "k + 3", "n": "f + 19", "y": "n + 8", "h": "y + 6", "l": "i + 6", "q": "l + 3", "m": "q + 3", "e": "m + 5", "s": "e + 10", "d": "s + 20", "i": 18}, "premises": {"i": 18}, "target": "h"}, "answer": {"steps": [["u", "i + 15", 33], ["k", "u + 17", 50], ["f", "k + 3", 53], ["n", "f + 19", 72], ["y", "n + 8", 80], ["h", "y + 6", 86]], "target_var_name": "h", "target_value": 86, "value_dict": {"i": 18, "u": 33, "k": 50, "f": 53, "n": 72, "y": 80, "h": 86}, "is_reverse": false}} | 844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = i + 15; k = u + 17; m = q + 3; h = y + 6; s = e + 10; d = s + 20; e = m + 5; n = f + 19; y = n + 8; l = i + 6; i = 18; f = k + 3; q = l + 3. If i = 18, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = i + 15, which gives u = 33.\n2. Compute k using k = u + 17, which gives k = 50.\n3. Compute f using f = k + 3, which gives f = 53.\n4. Compute n using n = f + 19, which gives n = 72.\n5. Compute y using y = n + 8, which gives y = 80.\n6. Compute h using h = y + 6, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 844,
"question": "Consider a system of variables where each variable is defined as follows: u = i + 15; k = u + 17; m = q + 3; h = y + 6; s = e + 10; d = s + 20; e = m + 5; n = f + 19; y = n + 8; l = i + 6; i = 18; f = k + 3; q = l + 3. If i = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 2", "n": "e + 6", "a": "n + 19", "i": "a + 19", "h": "i + 4", "f": "h + 1", "y": "t + 12", "l": "y + 1", "j": "l + 14", "x": "j + 8", "p": "x + 9", "s": "p + 6", "t": 16}, "premises": {"t": 16}, "target": "f"}, "answer": {"steps": [["e", "t + 2", 18], ["n", "e + 6", 24], ["a", "n + 19", 43], ["i", "a + 19", 62], ["h", "i + 4", 66], ["f", "h + 1", 67]], "target_var_name": "f", "target_value": 67, "value_dict": {"t": 16, "e": 18, "n": 24, "a": 43, "i": 62, "h": 66, "f": 67}, "is_reverse": false}} | 845 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = 16; h = i + 4; y = t + 12; i = a + 19; x = j + 8; s = p + 6; f = h + 1; n = e + 6; e = t + 2; p = x + 9; l = y + 1; a = n + 19; j = l + 14. If t = 16, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = t + 2, which gives e = 18.\n2. Compute n using n = e + 6, which gives n = 24.\n3. Compute a using a = n + 19, which gives a = 43.\n4. Compute i using i = a + 19, which gives i = 62.\n5. Compute h using h = i + 4, which gives h = 66.\n6. Compute f using f = h + 1, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 845,
"question": "Consider a system of variables where each variable is defined as follows: t = 16; h = i + 4; y = t + 12; i = a + 19; x = j + 8; s = p + 6; f = h + 1; n = e + 6; e = t + 2; p = x + 9; l = y + 1; a = n + 19; j = l + 14. If t = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 2", "i": "d + 19", "o": "i + 4", "u": "o + 15", "g": "u + 15", "q": "g + 2", "c": "p + 13", "m": "c + 1", "z": "m + 17", "h": "z + 5", "v": "h + 16", "x": "v + 10", "p": 14}, "premises": {"p": 14}, "target": "q"}, "answer": {"steps": [["d", "p + 2", 16], ["i", "d + 19", 35], ["o", "i + 4", 39], ["u", "o + 15", 54], ["g", "u + 15", 69], ["q", "g + 2", 71]], "target_var_name": "q", "target_value": 71, "value_dict": {"p": 14, "d": 16, "i": 35, "o": 39, "u": 54, "g": 69, "q": 71}, "is_reverse": false}} | 846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 19; c = p + 13; d = p + 2; v = h + 16; x = v + 10; h = z + 5; z = m + 17; o = i + 4; u = o + 15; m = c + 1; p = 14; g = u + 15; q = g + 2. If p = 14, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = p + 2, which gives d = 16.\n2. Compute i using i = d + 19, which gives i = 35.\n3. Compute o using o = i + 4, which gives o = 39.\n4. Compute u using u = o + 15, which gives u = 54.\n5. Compute g using g = u + 15, which gives g = 69.\n6. Compute q using q = g + 2, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 846,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 19; c = p + 13; d = p + 2; v = h + 16; x = v + 10; h = z + 5; z = m + 17; o = i + 4; u = o + 15; m = c + 1; p = 14; g = u + 15; q = g + 2. If p = 14, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 9", "a": "c + 19", "f": "a + 19", "w": "f + 20", "b": "w + 9", "x": "b + 18", "u": "m + 9", "v": "u + 3", "y": "v + 18", "h": "y + 15", "k": "h + 8", "e": "k + 3", "m": 12}, "premises": {"m": 12}, "target": "x"}, "answer": {"steps": [["c", "m + 9", 21], ["a", "c + 19", 40], ["f", "a + 19", 59], ["w", "f + 20", 79], ["b", "w + 9", 88], ["x", "b + 18", 106]], "target_var_name": "x", "target_value": 106, "value_dict": {"m": 12, "c": 21, "a": 40, "f": 59, "w": 79, "b": 88, "x": 106}, "is_reverse": false}} | 847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 18; b = w + 9; a = c + 19; x = b + 18; m = 12; v = u + 3; f = a + 19; e = k + 3; k = h + 8; w = f + 20; h = y + 15; u = m + 9; c = m + 9. Given that m = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = m + 9, which gives c = 21.\n2. Compute a using a = c + 19, which gives a = 40.\n3. Compute f using f = a + 19, which gives f = 59.\n4. Compute w using w = f + 20, which gives w = 79.\n5. Compute b using b = w + 9, which gives b = 88.\n6. Compute x using x = b + 18, which gives x = 106.\n\nThus, the final answer is x = \\boxed{106}.",
"index": 847,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 18; b = w + 9; a = c + 19; x = b + 18; m = 12; v = u + 3; f = a + 19; e = k + 3; k = h + 8; w = f + 20; h = y + 15; u = m + 9; c = m + 9. Given that m = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 3", "f": "h + 13", "s": "f + 5", "k": "s + 7", "y": "k + 5", "e": "y + 13", "g": "t + 9", "v": "g + 17", "u": "v + 13", "c": "u + 17", "d": "c + 18", "a": "d + 6", "t": 19}, "premises": {"t": 19}, "target": "e"}, "answer": {"steps": [["h", "t + 3", 22], ["f", "h + 13", 35], ["s", "f + 5", 40], ["k", "s + 7", 47], ["y", "k + 5", 52], ["e", "y + 13", 65]], "target_var_name": "e", "target_value": 65, "value_dict": {"t": 19, "h": 22, "f": 35, "s": 40, "k": 47, "y": 52, "e": 65}, "is_reverse": false}} | 848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = u + 17; f = h + 13; d = c + 18; h = t + 3; g = t + 9; u = v + 13; y = k + 5; e = y + 13; k = s + 7; v = g + 17; s = f + 5; a = d + 6; t = 19. If t = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = t + 3, which gives h = 22.\n2. Compute f using f = h + 13, which gives f = 35.\n3. Compute s using s = f + 5, which gives s = 40.\n4. Compute k using k = s + 7, which gives k = 47.\n5. Compute y using y = k + 5, which gives y = 52.\n6. Compute e using e = y + 13, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 848,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 17; f = h + 13; d = c + 18; h = t + 3; g = t + 9; u = v + 13; y = k + 5; e = y + 13; k = s + 7; v = g + 17; s = f + 5; a = d + 6; t = 19. If t = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 19", "j": "i + 3", "r": "j + 20", "s": "r + 5", "q": "s + 11", "x": "q + 15", "d": "b + 17", "m": "d + 20", "y": "m + 6", "c": "y + 9", "p": "c + 2", "e": "p + 4", "b": 11}, "premises": {"b": 11}, "target": "x"}, "answer": {"steps": [["i", "b + 19", 30], ["j", "i + 3", 33], ["r", "j + 20", 53], ["s", "r + 5", 58], ["q", "s + 11", 69], ["x", "q + 15", 84]], "target_var_name": "x", "target_value": 84, "value_dict": {"b": 11, "i": 30, "j": 33, "r": 53, "s": 58, "q": 69, "x": 84}, "is_reverse": false}} | 849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 5; j = i + 3; y = m + 6; i = b + 19; x = q + 15; c = y + 9; e = p + 4; b = 11; q = s + 11; d = b + 17; m = d + 20; p = c + 2; r = j + 20. If b = 11, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = b + 19, which gives i = 30.\n2. Compute j using j = i + 3, which gives j = 33.\n3. Compute r using r = j + 20, which gives r = 53.\n4. Compute s using s = r + 5, which gives s = 58.\n5. Compute q using q = s + 11, which gives q = 69.\n6. Compute x using x = q + 15, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 849,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 5; j = i + 3; y = m + 6; i = b + 19; x = q + 15; c = y + 9; e = p + 4; b = 11; q = s + 11; d = b + 17; m = d + 20; p = c + 2; r = j + 20. If b = 11, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 10", "e": "u + 12", "h": "e + 6", "o": "h + 6", "x": "o + 20", "c": "x + 18", "d": "i + 17", "l": "d + 7", "m": "l + 10", "k": "m + 11", "y": "k + 12", "p": "y + 16", "i": 10}, "premises": {"i": 10}, "target": "c"}, "answer": {"steps": [["u", "i + 10", 20], ["e", "u + 12", 32], ["h", "e + 6", 38], ["o", "h + 6", 44], ["x", "o + 20", 64], ["c", "x + 18", 82]], "target_var_name": "c", "target_value": 82, "value_dict": {"i": 10, "u": 20, "e": 32, "h": 38, "o": 44, "x": 64, "c": 82}, "is_reverse": false}} | 850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = e + 6; l = d + 7; i = 10; o = h + 6; u = i + 10; c = x + 18; p = y + 16; m = l + 10; d = i + 17; y = k + 12; x = o + 20; e = u + 12; k = m + 11. Given that i = 10, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = i + 10, which gives u = 20.\n2. Compute e using e = u + 12, which gives e = 32.\n3. Compute h using h = e + 6, which gives h = 38.\n4. Compute o using o = h + 6, which gives o = 44.\n5. Compute x using x = o + 20, which gives x = 64.\n6. Compute c using c = x + 18, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 850,
"question": "Suppose a collection of variables is related by the following definitions: h = e + 6; l = d + 7; i = 10; o = h + 6; u = i + 10; c = x + 18; p = y + 16; m = l + 10; d = i + 17; y = k + 12; x = o + 20; e = u + 12; k = m + 11. Given that i = 10, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "n + 13", "m": "i + 3", "j": "m + 5", "q": "j + 16", "o": "q + 10", "f": "o + 7", "k": "n + 14", "g": "k + 6", "a": "g + 20", "y": "a + 4", "l": "y + 20", "z": "l + 2", "n": 11}, "premises": {"n": 11}, "target": "f"}, "answer": {"steps": [["i", "n + 13", 24], ["m", "i + 3", 27], ["j", "m + 5", 32], ["q", "j + 16", 48], ["o", "q + 10", 58], ["f", "o + 7", 65]], "target_var_name": "f", "target_value": 65, "value_dict": {"n": 11, "i": 24, "m": 27, "j": 32, "q": 48, "o": 58, "f": 65}, "is_reverse": false}} | 851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 10; f = o + 7; a = g + 20; i = n + 13; m = i + 3; n = 11; z = l + 2; q = j + 16; g = k + 6; y = a + 4; j = m + 5; k = n + 14; l = y + 20. If n = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = n + 13, which gives i = 24.\n2. Compute m using m = i + 3, which gives m = 27.\n3. Compute j using j = m + 5, which gives j = 32.\n4. Compute q using q = j + 16, which gives q = 48.\n5. Compute o using o = q + 10, which gives o = 58.\n6. Compute f using f = o + 7, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 851,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 10; f = o + 7; a = g + 20; i = n + 13; m = i + 3; n = 11; z = l + 2; q = j + 16; g = k + 6; y = a + 4; j = m + 5; k = n + 14; l = y + 20. If n = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 16", "l": "j + 1", "u": "l + 10", "p": "u + 1", "b": "p + 9", "r": "b + 5", "y": "v + 16", "t": "y + 13", "s": "t + 6", "x": "s + 7", "w": "x + 18", "e": "w + 18", "v": 9}, "premises": {"v": 9}, "target": "r"}, "answer": {"steps": [["j", "v + 16", 25], ["l", "j + 1", 26], ["u", "l + 10", 36], ["p", "u + 1", 37], ["b", "p + 9", 46], ["r", "b + 5", 51]], "target_var_name": "r", "target_value": 51, "value_dict": {"v": 9, "j": 25, "l": 26, "u": 36, "p": 37, "b": 46, "r": 51}, "is_reverse": false}} | 852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 1; s = t + 6; w = x + 18; b = p + 9; l = j + 1; u = l + 10; r = b + 5; j = v + 16; e = w + 18; t = y + 13; x = s + 7; v = 9; y = v + 16. Given that v = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = v + 16, which gives j = 25.\n2. Compute l using l = j + 1, which gives l = 26.\n3. Compute u using u = l + 10, which gives u = 36.\n4. Compute p using p = u + 1, which gives p = 37.\n5. Compute b using b = p + 9, which gives b = 46.\n6. Compute r using r = b + 5, which gives r = 51.\n\nThus, the final answer is r = \\boxed{51}.",
"index": 852,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 1; s = t + 6; w = x + 18; b = p + 9; l = j + 1; u = l + 10; r = b + 5; j = v + 16; e = w + 18; t = y + 13; x = s + 7; v = 9; y = v + 16. Given that v = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 6", "y": "s + 17", "i": "y + 10", "r": "i + 2", "a": "r + 1", "w": "a + 6", "c": "k + 3", "m": "c + 9", "q": "m + 13", "d": "q + 8", "h": "d + 1", "j": "h + 4", "k": 14}, "premises": {"k": 14}, "target": "w"}, "answer": {"steps": [["s", "k + 6", 20], ["y", "s + 17", 37], ["i", "y + 10", 47], ["r", "i + 2", 49], ["a", "r + 1", 50], ["w", "a + 6", 56]], "target_var_name": "w", "target_value": 56, "value_dict": {"k": 14, "s": 20, "y": 37, "i": 47, "r": 49, "a": 50, "w": 56}, "is_reverse": false}} | 853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 8; m = c + 9; j = h + 4; w = a + 6; c = k + 3; i = y + 10; y = s + 17; a = r + 1; s = k + 6; k = 14; r = i + 2; h = d + 1; q = m + 13. If k = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = k + 6, which gives s = 20.\n2. Compute y using y = s + 17, which gives y = 37.\n3. Compute i using i = y + 10, which gives i = 47.\n4. Compute r using r = i + 2, which gives r = 49.\n5. Compute a using a = r + 1, which gives a = 50.\n6. Compute w using w = a + 6, which gives w = 56.\n\nThus, the final answer is w = \\boxed{56}.",
"index": 853,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 8; m = c + 9; j = h + 4; w = a + 6; c = k + 3; i = y + 10; y = s + 17; a = r + 1; s = k + 6; k = 14; r = i + 2; h = d + 1; q = m + 13. If k = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 15", "s": "z + 15", "g": "s + 4", "f": "g + 1", "p": "f + 16", "h": "p + 11", "t": "d + 16", "o": "t + 3", "u": "o + 12", "n": "u + 8", "v": "n + 11", "q": "v + 20", "d": 17}, "premises": {"d": 17}, "target": "h"}, "answer": {"steps": [["z", "d + 15", 32], ["s", "z + 15", 47], ["g", "s + 4", 51], ["f", "g + 1", 52], ["p", "f + 16", 68], ["h", "p + 11", 79]], "target_var_name": "h", "target_value": 79, "value_dict": {"d": 17, "z": 32, "s": 47, "g": 51, "f": 52, "p": 68, "h": 79}, "is_reverse": false}} | 854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 17; t = d + 16; q = v + 20; z = d + 15; s = z + 15; g = s + 4; n = u + 8; h = p + 11; v = n + 11; f = g + 1; p = f + 16; o = t + 3; u = o + 12. Given that d = 17, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = d + 15, which gives z = 32.\n2. Compute s using s = z + 15, which gives s = 47.\n3. Compute g using g = s + 4, which gives g = 51.\n4. Compute f using f = g + 1, which gives f = 52.\n5. Compute p using p = f + 16, which gives p = 68.\n6. Compute h using h = p + 11, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 854,
"question": "Suppose a collection of variables is related by the following definitions: d = 17; t = d + 16; q = v + 20; z = d + 15; s = z + 15; g = s + 4; n = u + 8; h = p + 11; v = n + 11; f = g + 1; p = f + 16; o = t + 3; u = o + 12. Given that d = 17, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "o + 1", "t": "g + 17", "s": "t + 17", "j": "s + 11", "m": "j + 16", "l": "m + 17", "w": "o + 7", "n": "w + 4", "y": "n + 10", "p": "y + 15", "x": "p + 12", "r": "x + 13", "o": 10}, "premises": {"o": 10}, "target": "l"}, "answer": {"steps": [["g", "o + 1", 11], ["t", "g + 17", 28], ["s", "t + 17", 45], ["j", "s + 11", 56], ["m", "j + 16", 72], ["l", "m + 17", 89]], "target_var_name": "l", "target_value": 89, "value_dict": {"o": 10, "g": 11, "t": 28, "s": 45, "j": 56, "m": 72, "l": 89}, "is_reverse": false}} | 855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = j + 16; s = t + 17; n = w + 4; x = p + 12; t = g + 17; j = s + 11; y = n + 10; o = 10; r = x + 13; p = y + 15; l = m + 17; w = o + 7; g = o + 1. If o = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 1, which gives g = 11.\n2. Compute t using t = g + 17, which gives t = 28.\n3. Compute s using s = t + 17, which gives s = 45.\n4. Compute j using j = s + 11, which gives j = 56.\n5. Compute m using m = j + 16, which gives m = 72.\n6. Compute l using l = m + 17, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 855,
"question": "Consider a system of variables where each variable is defined as follows: m = j + 16; s = t + 17; n = w + 4; x = p + 12; t = g + 17; j = s + 11; y = n + 10; o = 10; r = x + 13; p = y + 15; l = m + 17; w = o + 7; g = o + 1. If o = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 11", "y": "x + 3", "t": "y + 8", "a": "t + 12", "b": "a + 6", "u": "b + 3", "j": "f + 6", "d": "j + 15", "v": "d + 13", "c": "v + 9", "l": "c + 15", "p": "l + 10", "f": 13}, "premises": {"f": 13}, "target": "u"}, "answer": {"steps": [["x", "f + 11", 24], ["y", "x + 3", 27], ["t", "y + 8", 35], ["a", "t + 12", 47], ["b", "a + 6", 53], ["u", "b + 3", 56]], "target_var_name": "u", "target_value": 56, "value_dict": {"f": 13, "x": 24, "y": 27, "t": 35, "a": 47, "b": 53, "u": 56}, "is_reverse": false}} | 856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 15; y = x + 3; f = 13; l = c + 15; t = y + 8; u = b + 3; a = t + 12; x = f + 11; c = v + 9; b = a + 6; v = d + 13; j = f + 6; p = l + 10. Given that f = 13, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = f + 11, which gives x = 24.\n2. Compute y using y = x + 3, which gives y = 27.\n3. Compute t using t = y + 8, which gives t = 35.\n4. Compute a using a = t + 12, which gives a = 47.\n5. Compute b using b = a + 6, which gives b = 53.\n6. Compute u using u = b + 3, which gives u = 56.\n\nThus, the final answer is u = \\boxed{56}.",
"index": 856,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 15; y = x + 3; f = 13; l = c + 15; t = y + 8; u = b + 3; a = t + 12; x = f + 11; c = v + 9; b = a + 6; v = d + 13; j = f + 6; p = l + 10. Given that f = 13, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 10", "g": "p + 6", "z": "g + 3", "c": "z + 10", "o": "c + 15", "s": "o + 6", "u": "i + 17", "v": "u + 1", "m": "v + 13", "h": "m + 15", "f": "h + 14", "x": "f + 19", "i": 2}, "premises": {"i": 2}, "target": "s"}, "answer": {"steps": [["p", "i + 10", 12], ["g", "p + 6", 18], ["z", "g + 3", 21], ["c", "z + 10", 31], ["o", "c + 15", 46], ["s", "o + 6", 52]], "target_var_name": "s", "target_value": 52, "value_dict": {"i": 2, "p": 12, "g": 18, "z": 21, "c": 31, "o": 46, "s": 52}, "is_reverse": false}} | 857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 14; p = i + 10; x = f + 19; o = c + 15; i = 2; h = m + 15; u = i + 17; s = o + 6; c = z + 10; v = u + 1; m = v + 13; z = g + 3; g = p + 6. If i = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 10, which gives p = 12.\n2. Compute g using g = p + 6, which gives g = 18.\n3. Compute z using z = g + 3, which gives z = 21.\n4. Compute c using c = z + 10, which gives c = 31.\n5. Compute o using o = c + 15, which gives o = 46.\n6. Compute s using s = o + 6, which gives s = 52.\n\nThus, the final answer is s = \\boxed{52}.",
"index": 857,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 14; p = i + 10; x = f + 19; o = c + 15; i = 2; h = m + 15; u = i + 17; s = o + 6; c = z + 10; v = u + 1; m = v + 13; z = g + 3; g = p + 6. If i = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 4", "e": "c + 19", "g": "e + 15", "i": "g + 6", "z": "i + 2", "s": "z + 2", "p": "u + 12", "d": "p + 14", "h": "d + 14", "n": "h + 14", "j": "n + 10", "w": "j + 10", "u": 13}, "premises": {"u": 13}, "target": "s"}, "answer": {"steps": [["c", "u + 4", 17], ["e", "c + 19", 36], ["g", "e + 15", 51], ["i", "g + 6", 57], ["z", "i + 2", 59], ["s", "z + 2", 61]], "target_var_name": "s", "target_value": 61, "value_dict": {"u": 13, "c": 17, "e": 36, "g": 51, "i": 57, "z": 59, "s": 61}, "is_reverse": false}} | 858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = u + 12; c = u + 4; d = p + 14; u = 13; w = j + 10; i = g + 6; g = e + 15; j = n + 10; z = i + 2; h = d + 14; n = h + 14; e = c + 19; s = z + 2. If u = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = u + 4, which gives c = 17.\n2. Compute e using e = c + 19, which gives e = 36.\n3. Compute g using g = e + 15, which gives g = 51.\n4. Compute i using i = g + 6, which gives i = 57.\n5. Compute z using z = i + 2, which gives z = 59.\n6. Compute s using s = z + 2, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 858,
"question": "Consider a system of variables where each variable is defined as follows: p = u + 12; c = u + 4; d = p + 14; u = 13; w = j + 10; i = g + 6; g = e + 15; j = n + 10; z = i + 2; h = d + 14; n = h + 14; e = c + 19; s = z + 2. If u = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 7", "r": "e + 11", "u": "r + 16", "h": "u + 18", "q": "h + 15", "t": "q + 16", "n": "s + 18", "k": "n + 13", "z": "k + 18", "g": "z + 8", "l": "g + 17", "y": "l + 19", "s": 13}, "premises": {"s": 13}, "target": "t"}, "answer": {"steps": [["e", "s + 7", 20], ["r", "e + 11", 31], ["u", "r + 16", 47], ["h", "u + 18", 65], ["q", "h + 15", 80], ["t", "q + 16", 96]], "target_var_name": "t", "target_value": 96, "value_dict": {"s": 13, "e": 20, "r": 31, "u": 47, "h": 65, "q": 80, "t": 96}, "is_reverse": false}} | 859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = r + 16; e = s + 7; l = g + 17; y = l + 19; g = z + 8; z = k + 18; h = u + 18; r = e + 11; k = n + 13; t = q + 16; n = s + 18; s = 13; q = h + 15. Given that s = 13, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = s + 7, which gives e = 20.\n2. Compute r using r = e + 11, which gives r = 31.\n3. Compute u using u = r + 16, which gives u = 47.\n4. Compute h using h = u + 18, which gives h = 65.\n5. Compute q using q = h + 15, which gives q = 80.\n6. Compute t using t = q + 16, which gives t = 96.\n\nThus, the final answer is t = \\boxed{96}.",
"index": 859,
"question": "Suppose a collection of variables is related by the following definitions: u = r + 16; e = s + 7; l = g + 17; y = l + 19; g = z + 8; z = k + 18; h = u + 18; r = e + 11; k = n + 13; t = q + 16; n = s + 18; s = 13; q = h + 15. Given that s = 13, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "v + 7", "l": "k + 19", "b": "l + 19", "w": "b + 4", "f": "w + 2", "h": "f + 12", "n": "v + 12", "y": "n + 8", "t": "y + 4", "x": "t + 5", "r": "x + 11", "i": "r + 6", "v": 15}, "premises": {"v": 15}, "target": "h"}, "answer": {"steps": [["k", "v + 7", 22], ["l", "k + 19", 41], ["b", "l + 19", 60], ["w", "b + 4", 64], ["f", "w + 2", 66], ["h", "f + 12", 78]], "target_var_name": "h", "target_value": 78, "value_dict": {"v": 15, "k": 22, "l": 41, "b": 60, "w": 64, "f": 66, "h": 78}, "is_reverse": false}} | 860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = w + 2; l = k + 19; x = t + 5; b = l + 19; r = x + 11; k = v + 7; y = n + 8; v = 15; t = y + 4; i = r + 6; n = v + 12; h = f + 12; w = b + 4. Given that v = 15, find the value of h.",
"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 = v + 7, which gives k = 22.\n2. Compute l using l = k + 19, which gives l = 41.\n3. Compute b using b = l + 19, which gives b = 60.\n4. Compute w using w = b + 4, which gives w = 64.\n5. Compute f using f = w + 2, which gives f = 66.\n6. Compute h using h = f + 12, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 860,
"question": "Suppose a collection of variables is related by the following definitions: f = w + 2; l = k + 19; x = t + 5; b = l + 19; r = x + 11; k = v + 7; y = n + 8; v = 15; t = y + 4; i = r + 6; n = v + 12; h = f + 12; w = b + 4. Given that v = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 1", "f": "i + 2", "c": "f + 12", "v": "c + 8", "e": "v + 2", "s": "e + 17", "d": "u + 14", "a": "d + 1", "p": "a + 14", "l": "p + 12", "w": "l + 2", "t": "w + 14", "u": 3}, "premises": {"u": 3}, "target": "s"}, "answer": {"steps": [["i", "u + 1", 4], ["f", "i + 2", 6], ["c", "f + 12", 18], ["v", "c + 8", 26], ["e", "v + 2", 28], ["s", "e + 17", 45]], "target_var_name": "s", "target_value": 45, "value_dict": {"u": 3, "i": 4, "f": 6, "c": 18, "v": 26, "e": 28, "s": 45}, "is_reverse": false}} | 861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 12; v = c + 8; s = e + 17; i = u + 1; e = v + 2; u = 3; p = a + 14; t = w + 14; c = f + 12; d = u + 14; f = i + 2; w = l + 2; a = d + 1. If u = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = u + 1, which gives i = 4.\n2. Compute f using f = i + 2, which gives f = 6.\n3. Compute c using c = f + 12, which gives c = 18.\n4. Compute v using v = c + 8, which gives v = 26.\n5. Compute e using e = v + 2, which gives e = 28.\n6. Compute s using s = e + 17, which gives s = 45.\n\nThus, the final answer is s = \\boxed{45}.",
"index": 861,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 12; v = c + 8; s = e + 17; i = u + 1; e = v + 2; u = 3; p = a + 14; t = w + 14; c = f + 12; d = u + 14; f = i + 2; w = l + 2; a = d + 1. If u = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 9", "r": "e + 5", "g": "r + 11", "k": "g + 13", "n": "k + 11", "s": "n + 20", "w": "u + 20", "v": "w + 7", "p": "v + 8", "q": "p + 1", "o": "q + 3", "f": "o + 14", "u": 5}, "premises": {"u": 5}, "target": "s"}, "answer": {"steps": [["e", "u + 9", 14], ["r", "e + 5", 19], ["g", "r + 11", 30], ["k", "g + 13", 43], ["n", "k + 11", 54], ["s", "n + 20", 74]], "target_var_name": "s", "target_value": 74, "value_dict": {"u": 5, "e": 14, "r": 19, "g": 30, "k": 43, "n": 54, "s": 74}, "is_reverse": false}} | 862 | 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 = g + 13; e = u + 9; r = e + 5; v = w + 7; p = v + 8; g = r + 11; u = 5; o = q + 3; w = u + 20; f = o + 14; s = n + 20; n = k + 11; q = p + 1. If u = 5, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = u + 9, which gives e = 14.\n2. Compute r using r = e + 5, which gives r = 19.\n3. Compute g using g = r + 11, which gives g = 30.\n4. Compute k using k = g + 13, which gives k = 43.\n5. Compute n using n = k + 11, which gives n = 54.\n6. Compute s using s = n + 20, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 862,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 13; e = u + 9; r = e + 5; v = w + 7; p = v + 8; g = r + 11; u = 5; o = q + 3; w = u + 20; f = o + 14; s = n + 20; n = k + 11; q = p + 1. If u = 5, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 12", "n": "a + 8", "j": "n + 1", "u": "j + 17", "r": "u + 6", "v": "r + 18", "z": "q + 15", "s": "z + 5", "x": "s + 1", "h": "x + 11", "i": "h + 4", "c": "i + 2", "q": 16}, "premises": {"q": 16}, "target": "v"}, "answer": {"steps": [["a", "q + 12", 28], ["n", "a + 8", 36], ["j", "n + 1", 37], ["u", "j + 17", 54], ["r", "u + 6", 60], ["v", "r + 18", 78]], "target_var_name": "v", "target_value": 78, "value_dict": {"q": 16, "a": 28, "n": 36, "j": 37, "u": 54, "r": 60, "v": 78}, "is_reverse": false}} | 863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 16; j = n + 1; n = a + 8; h = x + 11; r = u + 6; a = q + 12; u = j + 17; c = i + 2; s = z + 5; z = q + 15; v = r + 18; i = h + 4; x = s + 1. Given that q = 16, find the value of v.",
"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 = q + 12, which gives a = 28.\n2. Compute n using n = a + 8, which gives n = 36.\n3. Compute j using j = n + 1, which gives j = 37.\n4. Compute u using u = j + 17, which gives u = 54.\n5. Compute r using r = u + 6, which gives r = 60.\n6. Compute v using v = r + 18, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 863,
"question": "Suppose a collection of variables is related by the following definitions: q = 16; j = n + 1; n = a + 8; h = x + 11; r = u + 6; a = q + 12; u = j + 17; c = i + 2; s = z + 5; z = q + 15; v = r + 18; i = h + 4; x = s + 1. Given that q = 16, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 3", "g": "w + 16", "v": "g + 9", "l": "v + 7", "z": "l + 11", "x": "z + 15", "b": "d + 2", "p": "b + 16", "o": "p + 12", "h": "o + 1", "u": "h + 9", "s": "u + 18", "d": 2}, "premises": {"d": 2}, "target": "x"}, "answer": {"steps": [["w", "d + 3", 5], ["g", "w + 16", 21], ["v", "g + 9", 30], ["l", "v + 7", 37], ["z", "l + 11", 48], ["x", "z + 15", 63]], "target_var_name": "x", "target_value": 63, "value_dict": {"d": 2, "w": 5, "g": 21, "v": 30, "l": 37, "z": 48, "x": 63}, "is_reverse": false}} | 864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 1; o = p + 12; s = u + 18; d = 2; g = w + 16; z = l + 11; v = g + 9; l = v + 7; b = d + 2; u = h + 9; x = z + 15; p = b + 16; w = d + 3. Given that d = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = d + 3, which gives w = 5.\n2. Compute g using g = w + 16, which gives g = 21.\n3. Compute v using v = g + 9, which gives v = 30.\n4. Compute l using l = v + 7, which gives l = 37.\n5. Compute z using z = l + 11, which gives z = 48.\n6. Compute x using x = z + 15, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 864,
"question": "Suppose a collection of variables is related by the following definitions: h = o + 1; o = p + 12; s = u + 18; d = 2; g = w + 16; z = l + 11; v = g + 9; l = v + 7; b = d + 2; u = h + 9; x = z + 15; p = b + 16; w = d + 3. Given that d = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 12", "a": "d + 11", "g": "a + 5", "i": "g + 12", "p": "i + 7", "c": "p + 16", "y": "q + 8", "o": "y + 20", "l": "o + 2", "z": "l + 17", "x": "z + 12", "v": "x + 9", "q": 19}, "premises": {"q": 19}, "target": "c"}, "answer": {"steps": [["d", "q + 12", 31], ["a", "d + 11", 42], ["g", "a + 5", 47], ["i", "g + 12", 59], ["p", "i + 7", 66], ["c", "p + 16", 82]], "target_var_name": "c", "target_value": 82, "value_dict": {"q": 19, "d": 31, "a": 42, "g": 47, "i": 59, "p": 66, "c": 82}, "is_reverse": false}} | 865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 16; x = z + 12; p = i + 7; d = q + 12; v = x + 9; a = d + 11; i = g + 12; o = y + 20; y = q + 8; l = o + 2; z = l + 17; q = 19; g = a + 5. If q = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = q + 12, which gives d = 31.\n2. Compute a using a = d + 11, which gives a = 42.\n3. Compute g using g = a + 5, which gives g = 47.\n4. Compute i using i = g + 12, which gives i = 59.\n5. Compute p using p = i + 7, which gives p = 66.\n6. Compute c using c = p + 16, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 865,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 16; x = z + 12; p = i + 7; d = q + 12; v = x + 9; a = d + 11; i = g + 12; o = y + 20; y = q + 8; l = o + 2; z = l + 17; q = 19; g = a + 5. If q = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 4", "q": "n + 11", "k": "q + 20", "g": "k + 17", "r": "g + 1", "b": "r + 7", "w": "v + 12", "h": "w + 17", "j": "h + 5", "i": "j + 13", "x": "i + 16", "m": "x + 3", "v": 10}, "premises": {"v": 10}, "target": "b"}, "answer": {"steps": [["n", "v + 4", 14], ["q", "n + 11", 25], ["k", "q + 20", 45], ["g", "k + 17", 62], ["r", "g + 1", 63], ["b", "r + 7", 70]], "target_var_name": "b", "target_value": 70, "value_dict": {"v": 10, "n": 14, "q": 25, "k": 45, "g": 62, "r": 63, "b": 70}, "is_reverse": false}} | 866 | 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 = r + 7; j = h + 5; g = k + 17; v = 10; m = x + 3; n = v + 4; h = w + 17; r = g + 1; q = n + 11; w = v + 12; k = q + 20; x = i + 16; i = j + 13. If v = 10, what is the resulting value of b?",
"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 = v + 4, which gives n = 14.\n2. Compute q using q = n + 11, which gives q = 25.\n3. Compute k using k = q + 20, which gives k = 45.\n4. Compute g using g = k + 17, which gives g = 62.\n5. Compute r using r = g + 1, which gives r = 63.\n6. Compute b using b = r + 7, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 866,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = r + 7; j = h + 5; g = k + 17; v = 10; m = x + 3; n = v + 4; h = w + 17; r = g + 1; q = n + 11; w = v + 12; k = q + 20; x = i + 16; i = j + 13. If v = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 7", "k": "o + 1", "a": "k + 13", "x": "a + 11", "i": "x + 3", "d": "i + 18", "j": "w + 13", "t": "j + 1", "g": "t + 19", "l": "g + 15", "c": "l + 2", "y": "c + 9", "w": 1}, "premises": {"w": 1}, "target": "d"}, "answer": {"steps": [["o", "w + 7", 8], ["k", "o + 1", 9], ["a", "k + 13", 22], ["x", "a + 11", 33], ["i", "x + 3", 36], ["d", "i + 18", 54]], "target_var_name": "d", "target_value": 54, "value_dict": {"w": 1, "o": 8, "k": 9, "a": 22, "x": 33, "i": 36, "d": 54}, "is_reverse": false}} | 867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = k + 13; y = c + 9; j = w + 13; t = j + 1; x = a + 11; d = i + 18; k = o + 1; w = 1; o = w + 7; c = l + 2; i = x + 3; l = g + 15; g = t + 19. If w = 1, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = w + 7, which gives o = 8.\n2. Compute k using k = o + 1, which gives k = 9.\n3. Compute a using a = k + 13, which gives a = 22.\n4. Compute x using x = a + 11, which gives x = 33.\n5. Compute i using i = x + 3, which gives i = 36.\n6. Compute d using d = i + 18, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 867,
"question": "Consider a system of variables where each variable is defined as follows: a = k + 13; y = c + 9; j = w + 13; t = j + 1; x = a + 11; d = i + 18; k = o + 1; w = 1; o = w + 7; c = l + 2; i = x + 3; l = g + 15; g = t + 19. If w = 1, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 9", "q": "v + 17", "z": "q + 15", "w": "z + 20", "j": "w + 2", "h": "j + 14", "a": "f + 8", "b": "a + 9", "n": "b + 17", "d": "n + 5", "y": "d + 14", "p": "y + 15", "f": 12}, "premises": {"f": 12}, "target": "h"}, "answer": {"steps": [["v", "f + 9", 21], ["q", "v + 17", 38], ["z", "q + 15", 53], ["w", "z + 20", 73], ["j", "w + 2", 75], ["h", "j + 14", 89]], "target_var_name": "h", "target_value": 89, "value_dict": {"f": 12, "v": 21, "q": 38, "z": 53, "w": 73, "j": 75, "h": 89}, "is_reverse": false}} | 868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 2; z = q + 15; f = 12; w = z + 20; b = a + 9; a = f + 8; n = b + 17; q = v + 17; y = d + 14; h = j + 14; v = f + 9; p = y + 15; d = n + 5. If f = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = f + 9, which gives v = 21.\n2. Compute q using q = v + 17, which gives q = 38.\n3. Compute z using z = q + 15, which gives z = 53.\n4. Compute w using w = z + 20, which gives w = 73.\n5. Compute j using j = w + 2, which gives j = 75.\n6. Compute h using h = j + 14, which gives h = 89.\n\nThus, the final answer is h = \\boxed{89}.",
"index": 868,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 2; z = q + 15; f = 12; w = z + 20; b = a + 9; a = f + 8; n = b + 17; q = v + 17; y = d + 14; h = j + 14; v = f + 9; p = y + 15; d = n + 5. If f = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 15", "c": "k + 14", "m": "c + 2", "i": "m + 16", "o": "i + 15", "z": "o + 12", "l": "d + 20", "j": "l + 13", "p": "j + 19", "t": "p + 4", "b": "t + 6", "s": "b + 11", "d": 19}, "premises": {"d": 19}, "target": "z"}, "answer": {"steps": [["k", "d + 15", 34], ["c", "k + 14", 48], ["m", "c + 2", 50], ["i", "m + 16", 66], ["o", "i + 15", 81], ["z", "o + 12", 93]], "target_var_name": "z", "target_value": 93, "value_dict": {"d": 19, "k": 34, "c": 48, "m": 50, "i": 66, "o": 81, "z": 93}, "is_reverse": false}} | 869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 15; z = o + 12; k = d + 15; s = b + 11; j = l + 13; c = k + 14; d = 19; b = t + 6; i = m + 16; t = p + 4; l = d + 20; p = j + 19; m = c + 2. Given that d = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = d + 15, which gives k = 34.\n2. Compute c using c = k + 14, which gives c = 48.\n3. Compute m using m = c + 2, which gives m = 50.\n4. Compute i using i = m + 16, which gives i = 66.\n5. Compute o using o = i + 15, which gives o = 81.\n6. Compute z using z = o + 12, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 869,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 15; z = o + 12; k = d + 15; s = b + 11; j = l + 13; c = k + 14; d = 19; b = t + 6; i = m + 16; t = p + 4; l = d + 20; p = j + 19; m = c + 2. Given that d = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 13", "n": "w + 20", "r": "n + 9", "t": "r + 5", "z": "t + 20", "k": "z + 12", "v": "y + 7", "l": "v + 9", "a": "l + 14", "g": "a + 17", "p": "g + 2", "f": "p + 11", "y": 7}, "premises": {"y": 7}, "target": "k"}, "answer": {"steps": [["w", "y + 13", 20], ["n", "w + 20", 40], ["r", "n + 9", 49], ["t", "r + 5", 54], ["z", "t + 20", 74], ["k", "z + 12", 86]], "target_var_name": "k", "target_value": 86, "value_dict": {"y": 7, "w": 20, "n": 40, "r": 49, "t": 54, "z": 74, "k": 86}, "is_reverse": false}} | 870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 12; g = a + 17; f = p + 11; w = y + 13; p = g + 2; r = n + 9; l = v + 9; a = l + 14; z = t + 20; n = w + 20; t = r + 5; y = 7; v = y + 7. If y = 7, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = y + 13, which gives w = 20.\n2. Compute n using n = w + 20, which gives n = 40.\n3. Compute r using r = n + 9, which gives r = 49.\n4. Compute t using t = r + 5, which gives t = 54.\n5. Compute z using z = t + 20, which gives z = 74.\n6. Compute k using k = z + 12, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 870,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 12; g = a + 17; f = p + 11; w = y + 13; p = g + 2; r = n + 9; l = v + 9; a = l + 14; z = t + 20; n = w + 20; t = r + 5; y = 7; v = y + 7. If y = 7, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 1", "o": "z + 5", "h": "o + 12", "r": "h + 12", "n": "r + 14", "f": "n + 15", "u": "t + 17", "g": "u + 15", "p": "g + 19", "y": "p + 13", "i": "y + 16", "v": "i + 5", "t": 6}, "premises": {"t": 6}, "target": "f"}, "answer": {"steps": [["z", "t + 1", 7], ["o", "z + 5", 12], ["h", "o + 12", 24], ["r", "h + 12", 36], ["n", "r + 14", 50], ["f", "n + 15", 65]], "target_var_name": "f", "target_value": 65, "value_dict": {"t": 6, "z": 7, "o": 12, "h": 24, "r": 36, "n": 50, "f": 65}, "is_reverse": false}} | 871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = i + 5; r = h + 12; z = t + 1; t = 6; u = t + 17; y = p + 13; f = n + 15; p = g + 19; g = u + 15; n = r + 14; h = o + 12; o = z + 5; i = y + 16. Given that t = 6, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 1, which gives z = 7.\n2. Compute o using o = z + 5, which gives o = 12.\n3. Compute h using h = o + 12, which gives h = 24.\n4. Compute r using r = h + 12, which gives r = 36.\n5. Compute n using n = r + 14, which gives n = 50.\n6. Compute f using f = n + 15, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 871,
"question": "Suppose a collection of variables is related by the following definitions: v = i + 5; r = h + 12; z = t + 1; t = 6; u = t + 17; y = p + 13; f = n + 15; p = g + 19; g = u + 15; n = r + 14; h = o + 12; o = z + 5; i = y + 16. Given that t = 6, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 3", "q": "h + 14", "u": "q + 2", "k": "u + 17", "n": "k + 13", "g": "n + 3", "m": "f + 8", "p": "m + 17", "w": "p + 4", "v": "w + 1", "a": "v + 15", "s": "a + 12", "f": 3}, "premises": {"f": 3}, "target": "g"}, "answer": {"steps": [["h", "f + 3", 6], ["q", "h + 14", 20], ["u", "q + 2", 22], ["k", "u + 17", 39], ["n", "k + 13", 52], ["g", "n + 3", 55]], "target_var_name": "g", "target_value": 55, "value_dict": {"f": 3, "h": 6, "q": 20, "u": 22, "k": 39, "n": 52, "g": 55}, "is_reverse": false}} | 872 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = w + 1; n = k + 13; m = f + 8; p = m + 17; a = v + 15; q = h + 14; u = q + 2; s = a + 12; w = p + 4; f = 3; g = n + 3; h = f + 3; k = u + 17. If f = 3, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = f + 3, which gives h = 6.\n2. Compute q using q = h + 14, which gives q = 20.\n3. Compute u using u = q + 2, which gives u = 22.\n4. Compute k using k = u + 17, which gives k = 39.\n5. Compute n using n = k + 13, which gives n = 52.\n6. Compute g using g = n + 3, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 872,
"question": "Consider a system of variables where each variable is defined as follows: v = w + 1; n = k + 13; m = f + 8; p = m + 17; a = v + 15; q = h + 14; u = q + 2; s = a + 12; w = p + 4; f = 3; g = n + 3; h = f + 3; k = u + 17. If f = 3, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 13", "e": "j + 10", "h": "e + 15", "p": "h + 6", "x": "p + 16", "y": "x + 11", "m": "u + 11", "g": "m + 17", "f": "g + 16", "s": "f + 18", "w": "s + 2", "i": "w + 9", "u": 16}, "premises": {"u": 16}, "target": "y"}, "answer": {"steps": [["j", "u + 13", 29], ["e", "j + 10", 39], ["h", "e + 15", 54], ["p", "h + 6", 60], ["x", "p + 16", 76], ["y", "x + 11", 87]], "target_var_name": "y", "target_value": 87, "value_dict": {"u": 16, "j": 29, "e": 39, "h": 54, "p": 60, "x": 76, "y": 87}, "is_reverse": false}} | 873 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 15; u = 16; e = j + 10; s = f + 18; w = s + 2; f = g + 16; i = w + 9; p = h + 6; j = u + 13; y = x + 11; x = p + 16; g = m + 17; m = u + 11. If u = 16, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = u + 13, which gives j = 29.\n2. Compute e using e = j + 10, which gives e = 39.\n3. Compute h using h = e + 15, which gives h = 54.\n4. Compute p using p = h + 6, which gives p = 60.\n5. Compute x using x = p + 16, which gives x = 76.\n6. Compute y using y = x + 11, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 873,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 15; u = 16; e = j + 10; s = f + 18; w = s + 2; f = g + 16; i = w + 9; p = h + 6; j = u + 13; y = x + 11; x = p + 16; g = m + 17; m = u + 11. If u = 16, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 2", "w": "i + 8", "u": "w + 17", "c": "u + 5", "y": "c + 19", "s": "y + 2", "p": "d + 5", "h": "p + 11", "v": "h + 15", "x": "v + 3", "r": "x + 15", "t": "r + 12", "d": 14}, "premises": {"d": 14}, "target": "s"}, "answer": {"steps": [["i", "d + 2", 16], ["w", "i + 8", 24], ["u", "w + 17", 41], ["c", "u + 5", 46], ["y", "c + 19", 65], ["s", "y + 2", 67]], "target_var_name": "s", "target_value": 67, "value_dict": {"d": 14, "i": 16, "w": 24, "u": 41, "c": 46, "y": 65, "s": 67}, "is_reverse": false}} | 874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = c + 19; w = i + 8; x = v + 3; c = u + 5; i = d + 2; u = w + 17; r = x + 15; s = y + 2; v = h + 15; d = 14; t = r + 12; h = p + 11; p = d + 5. Given that d = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = d + 2, which gives i = 16.\n2. Compute w using w = i + 8, which gives w = 24.\n3. Compute u using u = w + 17, which gives u = 41.\n4. Compute c using c = u + 5, which gives c = 46.\n5. Compute y using y = c + 19, which gives y = 65.\n6. Compute s using s = y + 2, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 874,
"question": "Suppose a collection of variables is related by the following definitions: y = c + 19; w = i + 8; x = v + 3; c = u + 5; i = d + 2; u = w + 17; r = x + 15; s = y + 2; v = h + 15; d = 14; t = r + 12; h = p + 11; p = d + 5. Given that d = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 8", "y": "z + 5", "r": "y + 3", "x": "r + 13", "d": "x + 11", "o": "d + 7", "h": "t + 19", "f": "h + 3", "g": "f + 4", "j": "g + 4", "i": "j + 6", "q": "i + 6", "t": 6}, "premises": {"t": 6}, "target": "o"}, "answer": {"steps": [["z", "t + 8", 14], ["y", "z + 5", 19], ["r", "y + 3", 22], ["x", "r + 13", 35], ["d", "x + 11", 46], ["o", "d + 7", 53]], "target_var_name": "o", "target_value": 53, "value_dict": {"t": 6, "z": 14, "y": 19, "r": 22, "x": 35, "d": 46, "o": 53}, "is_reverse": false}} | 875 | 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 = g + 4; d = x + 11; z = t + 8; y = z + 5; x = r + 13; i = j + 6; h = t + 19; t = 6; f = h + 3; o = d + 7; q = i + 6; r = y + 3; g = f + 4. If t = 6, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = t + 8, which gives z = 14.\n2. Compute y using y = z + 5, which gives y = 19.\n3. Compute r using r = y + 3, which gives r = 22.\n4. Compute x using x = r + 13, which gives x = 35.\n5. Compute d using d = x + 11, which gives d = 46.\n6. Compute o using o = d + 7, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 875,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 4; d = x + 11; z = t + 8; y = z + 5; x = r + 13; i = j + 6; h = t + 19; t = 6; f = h + 3; o = d + 7; q = i + 6; r = y + 3; g = f + 4. If t = 6, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"u": "e + 6", "o": "u + 2", "i": "o + 20", "f": "i + 7", "n": "f + 14", "z": "n + 12", "h": "e + 4", "t": "h + 9", "y": "t + 19", "c": "y + 4", "k": "c + 17", "s": "k + 10", "e": 1}, "premises": {"e": 1}, "target": "z"}, "answer": {"steps": [["u", "e + 6", 7], ["o", "u + 2", 9], ["i", "o + 20", 29], ["f", "i + 7", 36], ["n", "f + 14", 50], ["z", "n + 12", 62]], "target_var_name": "z", "target_value": 62, "value_dict": {"e": 1, "u": 7, "o": 9, "i": 29, "f": 36, "n": 50, "z": 62}, "is_reverse": false}} | 876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 12; y = t + 19; h = e + 4; t = h + 9; f = i + 7; o = u + 2; c = y + 4; u = e + 6; k = c + 17; n = f + 14; i = o + 20; s = k + 10; e = 1. If e = 1, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = e + 6, which gives u = 7.\n2. Compute o using o = u + 2, which gives o = 9.\n3. Compute i using i = o + 20, which gives i = 29.\n4. Compute f using f = i + 7, which gives f = 36.\n5. Compute n using n = f + 14, which gives n = 50.\n6. Compute z using z = n + 12, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 876,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 12; y = t + 19; h = e + 4; t = h + 9; f = i + 7; o = u + 2; c = y + 4; u = e + 6; k = c + 17; n = f + 14; i = o + 20; s = k + 10; e = 1. If e = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 3", "e": "a + 17", "t": "e + 9", "v": "t + 13", "k": "v + 1", "s": "k + 17", "u": "x + 2", "i": "u + 14", "p": "i + 15", "r": "p + 16", "q": "r + 14", "d": "q + 7", "x": 20}, "premises": {"x": 20}, "target": "s"}, "answer": {"steps": [["a", "x + 3", 23], ["e", "a + 17", 40], ["t", "e + 9", 49], ["v", "t + 13", 62], ["k", "v + 1", 63], ["s", "k + 17", 80]], "target_var_name": "s", "target_value": 80, "value_dict": {"x": 20, "a": 23, "e": 40, "t": 49, "v": 62, "k": 63, "s": 80}, "is_reverse": false}} | 877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 14; v = t + 13; d = q + 7; e = a + 17; a = x + 3; k = v + 1; t = e + 9; i = u + 14; s = k + 17; u = x + 2; r = p + 16; p = i + 15; x = 20. If x = 20, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = x + 3, which gives a = 23.\n2. Compute e using e = a + 17, which gives e = 40.\n3. Compute t using t = e + 9, which gives t = 49.\n4. Compute v using v = t + 13, which gives v = 62.\n5. Compute k using k = v + 1, which gives k = 63.\n6. Compute s using s = k + 17, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 877,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 14; v = t + 13; d = q + 7; e = a + 17; a = x + 3; k = v + 1; t = e + 9; i = u + 14; s = k + 17; u = x + 2; r = p + 16; p = i + 15; x = 20. If x = 20, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 10", "j": "y + 8", "b": "j + 3", "g": "b + 9", "t": "g + 13", "u": "t + 9", "k": "r + 18", "q": "k + 5", "e": "q + 20", "i": "e + 13", "p": "i + 15", "o": "p + 1", "r": 2}, "premises": {"r": 2}, "target": "u"}, "answer": {"steps": [["y", "r + 10", 12], ["j", "y + 8", 20], ["b", "j + 3", 23], ["g", "b + 9", 32], ["t", "g + 13", 45], ["u", "t + 9", 54]], "target_var_name": "u", "target_value": 54, "value_dict": {"r": 2, "y": 12, "j": 20, "b": 23, "g": 32, "t": 45, "u": 54}, "is_reverse": false}} | 878 | 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 = j + 3; o = p + 1; q = k + 5; k = r + 18; j = y + 8; g = b + 9; r = 2; i = e + 13; y = r + 10; t = g + 13; e = q + 20; u = t + 9; p = i + 15. If r = 2, 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 y using y = r + 10, which gives y = 12.\n2. Compute j using j = y + 8, which gives j = 20.\n3. Compute b using b = j + 3, which gives b = 23.\n4. Compute g using g = b + 9, which gives g = 32.\n5. Compute t using t = g + 13, which gives t = 45.\n6. Compute u using u = t + 9, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 878,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 3; o = p + 1; q = k + 5; k = r + 18; j = y + 8; g = b + 9; r = 2; i = e + 13; y = r + 10; t = g + 13; e = q + 20; u = t + 9; p = i + 15. If r = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 11", "q": "p + 14", "w": "q + 9", "n": "w + 15", "l": "n + 3", "g": "l + 7", "a": "o + 15", "t": "a + 14", "y": "t + 12", "k": "y + 15", "i": "k + 15", "m": "i + 11", "o": 20}, "premises": {"o": 20}, "target": "g"}, "answer": {"steps": [["p", "o + 11", 31], ["q", "p + 14", 45], ["w", "q + 9", 54], ["n", "w + 15", 69], ["l", "n + 3", 72], ["g", "l + 7", 79]], "target_var_name": "g", "target_value": 79, "value_dict": {"o": 20, "p": 31, "q": 45, "w": 54, "n": 69, "l": 72, "g": 79}, "is_reverse": false}} | 879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = o + 15; q = p + 14; o = 20; k = y + 15; y = t + 12; t = a + 14; p = o + 11; i = k + 15; w = q + 9; n = w + 15; m = i + 11; g = l + 7; l = n + 3. Given that o = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = o + 11, which gives p = 31.\n2. Compute q using q = p + 14, which gives q = 45.\n3. Compute w using w = q + 9, which gives w = 54.\n4. Compute n using n = w + 15, which gives n = 69.\n5. Compute l using l = n + 3, which gives l = 72.\n6. Compute g using g = l + 7, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 879,
"question": "Suppose a collection of variables is related by the following definitions: a = o + 15; q = p + 14; o = 20; k = y + 15; y = t + 12; t = a + 14; p = o + 11; i = k + 15; w = q + 9; n = w + 15; m = i + 11; g = l + 7; l = n + 3. Given that o = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 4", "f": "m + 3", "o": "f + 6", "t": "o + 16", "k": "t + 19", "r": "k + 4", "v": "y + 19", "q": "v + 2", "h": "q + 19", "e": "h + 10", "l": "e + 3", "d": "l + 14", "y": 10}, "premises": {"y": 10}, "target": "r"}, "answer": {"steps": [["m", "y + 4", 14], ["f", "m + 3", 17], ["o", "f + 6", 23], ["t", "o + 16", 39], ["k", "t + 19", 58], ["r", "k + 4", 62]], "target_var_name": "r", "target_value": 62, "value_dict": {"y": 10, "m": 14, "f": 17, "o": 23, "t": 39, "k": 58, "r": 62}, "is_reverse": false}} | 880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = l + 14; e = h + 10; l = e + 3; h = q + 19; k = t + 19; t = o + 16; o = f + 6; v = y + 19; m = y + 4; q = v + 2; r = k + 4; y = 10; f = m + 3. If y = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = y + 4, which gives m = 14.\n2. Compute f using f = m + 3, which gives f = 17.\n3. Compute o using o = f + 6, which gives o = 23.\n4. Compute t using t = o + 16, which gives t = 39.\n5. Compute k using k = t + 19, which gives k = 58.\n6. Compute r using r = k + 4, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 880,
"question": "Consider a system of variables where each variable is defined as follows: d = l + 14; e = h + 10; l = e + 3; h = q + 19; k = t + 19; t = o + 16; o = f + 6; v = y + 19; m = y + 4; q = v + 2; r = k + 4; y = 10; f = m + 3. If y = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 4", "g": "v + 8", "x": "g + 13", "n": "x + 15", "m": "n + 19", "f": "m + 2", "i": "e + 2", "u": "i + 7", "k": "u + 7", "r": "k + 13", "h": "r + 5", "l": "h + 14", "e": 13}, "premises": {"e": 13}, "target": "f"}, "answer": {"steps": [["v", "e + 4", 17], ["g", "v + 8", 25], ["x", "g + 13", 38], ["n", "x + 15", 53], ["m", "n + 19", 72], ["f", "m + 2", 74]], "target_var_name": "f", "target_value": 74, "value_dict": {"e": 13, "v": 17, "g": 25, "x": 38, "n": 53, "m": 72, "f": 74}, "is_reverse": false}} | 881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 13; k = u + 7; v = e + 4; f = m + 2; r = k + 13; i = e + 2; u = i + 7; h = r + 5; l = h + 14; g = v + 8; e = 13; n = x + 15; m = n + 19. If e = 13, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = e + 4, which gives v = 17.\n2. Compute g using g = v + 8, which gives g = 25.\n3. Compute x using x = g + 13, which gives x = 38.\n4. Compute n using n = x + 15, which gives n = 53.\n5. Compute m using m = n + 19, which gives m = 72.\n6. Compute f using f = m + 2, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 881,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 13; k = u + 7; v = e + 4; f = m + 2; r = k + 13; i = e + 2; u = i + 7; h = r + 5; l = h + 14; g = v + 8; e = 13; n = x + 15; m = n + 19. If e = 13, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 16", "m": "t + 20", "b": "m + 19", "x": "b + 7", "y": "x + 12", "l": "y + 11", "i": "a + 9", "u": "i + 20", "n": "u + 14", "c": "n + 19", "z": "c + 18", "q": "z + 10", "a": 14}, "premises": {"a": 14}, "target": "l"}, "answer": {"steps": [["t", "a + 16", 30], ["m", "t + 20", 50], ["b", "m + 19", 69], ["x", "b + 7", 76], ["y", "x + 12", 88], ["l", "y + 11", 99]], "target_var_name": "l", "target_value": 99, "value_dict": {"a": 14, "t": 30, "m": 50, "b": 69, "x": 76, "y": 88, "l": 99}, "is_reverse": false}} | 882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 14; b = m + 19; i = a + 9; n = u + 14; z = c + 18; y = x + 12; c = n + 19; t = a + 16; m = t + 20; l = y + 11; u = i + 20; x = b + 7; q = z + 10. If a = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = a + 16, which gives t = 30.\n2. Compute m using m = t + 20, which gives m = 50.\n3. Compute b using b = m + 19, which gives b = 69.\n4. Compute x using x = b + 7, which gives x = 76.\n5. Compute y using y = x + 12, which gives y = 88.\n6. Compute l using l = y + 11, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 882,
"question": "Consider a system of variables where each variable is defined as follows: a = 14; b = m + 19; i = a + 9; n = u + 14; z = c + 18; y = x + 12; c = n + 19; t = a + 16; m = t + 20; l = y + 11; u = i + 20; x = b + 7; q = z + 10. If a = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 15", "q": "e + 14", "v": "q + 5", "i": "v + 5", "k": "i + 12", "g": "k + 9", "f": "j + 17", "l": "f + 5", "r": "l + 14", "y": "r + 8", "s": "y + 19", "z": "s + 4", "j": 13}, "premises": {"j": 13}, "target": "g"}, "answer": {"steps": [["e", "j + 15", 28], ["q", "e + 14", 42], ["v", "q + 5", 47], ["i", "v + 5", 52], ["k", "i + 12", 64], ["g", "k + 9", 73]], "target_var_name": "g", "target_value": 73, "value_dict": {"j": 13, "e": 28, "q": 42, "v": 47, "i": 52, "k": 64, "g": 73}, "is_reverse": false}} | 883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 5; s = y + 19; l = f + 5; j = 13; v = q + 5; f = j + 17; z = s + 4; q = e + 14; y = r + 8; r = l + 14; e = j + 15; g = k + 9; k = i + 12. If j = 13, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = j + 15, which gives e = 28.\n2. Compute q using q = e + 14, which gives q = 42.\n3. Compute v using v = q + 5, which gives v = 47.\n4. Compute i using i = v + 5, which gives i = 52.\n5. Compute k using k = i + 12, which gives k = 64.\n6. Compute g using g = k + 9, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 883,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 5; s = y + 19; l = f + 5; j = 13; v = q + 5; f = j + 17; z = s + 4; q = e + 14; y = r + 8; r = l + 14; e = j + 15; g = k + 9; k = i + 12. If j = 13, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 3", "l": "i + 6", "f": "l + 18", "z": "f + 18", "a": "z + 1", "y": "a + 15", "r": "p + 6", "m": "r + 12", "b": "m + 11", "w": "b + 5", "s": "w + 3", "k": "s + 8", "p": 14}, "premises": {"p": 14}, "target": "y"}, "answer": {"steps": [["i", "p + 3", 17], ["l", "i + 6", 23], ["f", "l + 18", 41], ["z", "f + 18", 59], ["a", "z + 1", 60], ["y", "a + 15", 75]], "target_var_name": "y", "target_value": 75, "value_dict": {"p": 14, "i": 17, "l": 23, "f": 41, "z": 59, "a": 60, "y": 75}, "is_reverse": false}} | 884 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 12; z = f + 18; s = w + 3; a = z + 1; k = s + 8; l = i + 6; w = b + 5; f = l + 18; i = p + 3; y = a + 15; b = m + 11; r = p + 6; p = 14. Given that p = 14, 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 i using i = p + 3, which gives i = 17.\n2. Compute l using l = i + 6, which gives l = 23.\n3. Compute f using f = l + 18, which gives f = 41.\n4. Compute z using z = f + 18, which gives z = 59.\n5. Compute a using a = z + 1, which gives a = 60.\n6. Compute y using y = a + 15, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 884,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 12; z = f + 18; s = w + 3; a = z + 1; k = s + 8; l = i + 6; w = b + 5; f = l + 18; i = p + 3; y = a + 15; b = m + 11; r = p + 6; p = 14. Given that p = 14, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 15", "n": "o + 5", "x": "n + 15", "p": "x + 18", "l": "p + 7", "h": "l + 18", "q": "f + 12", "a": "q + 20", "d": "a + 11", "w": "d + 12", "b": "w + 13", "t": "b + 14", "f": 5}, "premises": {"f": 5}, "target": "h"}, "answer": {"steps": [["o", "f + 15", 20], ["n", "o + 5", 25], ["x", "n + 15", 40], ["p", "x + 18", 58], ["l", "p + 7", 65], ["h", "l + 18", 83]], "target_var_name": "h", "target_value": 83, "value_dict": {"f": 5, "o": 20, "n": 25, "x": 40, "p": 58, "l": 65, "h": 83}, "is_reverse": false}} | 885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 7; h = l + 18; t = b + 14; f = 5; w = d + 12; a = q + 20; o = f + 15; b = w + 13; q = f + 12; d = a + 11; n = o + 5; p = x + 18; x = n + 15. If f = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = f + 15, which gives o = 20.\n2. Compute n using n = o + 5, which gives n = 25.\n3. Compute x using x = n + 15, which gives x = 40.\n4. Compute p using p = x + 18, which gives p = 58.\n5. Compute l using l = p + 7, which gives l = 65.\n6. Compute h using h = l + 18, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 885,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 7; h = l + 18; t = b + 14; f = 5; w = d + 12; a = q + 20; o = f + 15; b = w + 13; q = f + 12; d = a + 11; n = o + 5; p = x + 18; x = n + 15. If f = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 18", "j": "o + 17", "n": "j + 18", "a": "n + 5", "t": "a + 10", "v": "t + 15", "z": "x + 7", "r": "z + 13", "p": "r + 18", "w": "p + 1", "b": "w + 3", "h": "b + 16", "x": 19}, "premises": {"x": 19}, "target": "v"}, "answer": {"steps": [["o", "x + 18", 37], ["j", "o + 17", 54], ["n", "j + 18", 72], ["a", "n + 5", 77], ["t", "a + 10", 87], ["v", "t + 15", 102]], "target_var_name": "v", "target_value": 102, "value_dict": {"x": 19, "o": 37, "j": 54, "n": 72, "a": 77, "t": 87, "v": 102}, "is_reverse": false}} | 886 | 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 = w + 3; w = p + 1; p = r + 18; t = a + 10; v = t + 15; j = o + 17; a = n + 5; x = 19; h = b + 16; n = j + 18; z = x + 7; o = x + 18; r = z + 13. If x = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = x + 18, which gives o = 37.\n2. Compute j using j = o + 17, which gives j = 54.\n3. Compute n using n = j + 18, which gives n = 72.\n4. Compute a using a = n + 5, which gives a = 77.\n5. Compute t using t = a + 10, which gives t = 87.\n6. Compute v using v = t + 15, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = w + 3; w = p + 1; p = r + 18; t = a + 10; v = t + 15; j = o + 17; a = n + 5; x = 19; h = b + 16; n = j + 18; z = x + 7; o = x + 18; r = z + 13. If x = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 5", "c": "o + 4", "q": "c + 7", "h": "q + 6", "u": "h + 2", "b": "u + 15", "x": "w + 8", "a": "x + 12", "e": "a + 4", "z": "e + 17", "l": "z + 8", "r": "l + 4", "w": 9}, "premises": {"w": 9}, "target": "b"}, "answer": {"steps": [["o", "w + 5", 14], ["c", "o + 4", 18], ["q", "c + 7", 25], ["h", "q + 6", 31], ["u", "h + 2", 33], ["b", "u + 15", 48]], "target_var_name": "b", "target_value": 48, "value_dict": {"w": 9, "o": 14, "c": 18, "q": 25, "h": 31, "u": 33, "b": 48}, "is_reverse": false}} | 887 | 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 = o + 4; r = l + 4; x = w + 8; z = e + 17; o = w + 5; a = x + 12; b = u + 15; u = h + 2; w = 9; e = a + 4; h = q + 6; q = c + 7; l = z + 8. If w = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = w + 5, which gives o = 14.\n2. Compute c using c = o + 4, which gives c = 18.\n3. Compute q using q = c + 7, which gives q = 25.\n4. Compute h using h = q + 6, which gives h = 31.\n5. Compute u using u = h + 2, which gives u = 33.\n6. Compute b using b = u + 15, which gives b = 48.\n\nThus, the final answer is b = \\boxed{48}.",
"index": 887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = o + 4; r = l + 4; x = w + 8; z = e + 17; o = w + 5; a = x + 12; b = u + 15; u = h + 2; w = 9; e = a + 4; h = q + 6; q = c + 7; l = z + 8. If w = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 2", "u": "v + 17", "f": "u + 1", "o": "f + 11", "i": "o + 19", "a": "i + 17", "e": "w + 1", "m": "e + 6", "h": "m + 20", "d": "h + 16", "k": "d + 10", "s": "k + 9", "w": 9}, "premises": {"w": 9}, "target": "a"}, "answer": {"steps": [["v", "w + 2", 11], ["u", "v + 17", 28], ["f", "u + 1", 29], ["o", "f + 11", 40], ["i", "o + 19", 59], ["a", "i + 17", 76]], "target_var_name": "a", "target_value": 76, "value_dict": {"w": 9, "v": 11, "u": 28, "f": 29, "o": 40, "i": 59, "a": 76}, "is_reverse": false}} | 888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = i + 17; s = k + 9; f = u + 1; v = w + 2; u = v + 17; h = m + 20; k = d + 10; e = w + 1; d = h + 16; i = o + 19; w = 9; m = e + 6; o = f + 11. Given that w = 9, 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 v using v = w + 2, which gives v = 11.\n2. Compute u using u = v + 17, which gives u = 28.\n3. Compute f using f = u + 1, which gives f = 29.\n4. Compute o using o = f + 11, which gives o = 40.\n5. Compute i using i = o + 19, which gives i = 59.\n6. Compute a using a = i + 17, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 888,
"question": "Suppose a collection of variables is related by the following definitions: a = i + 17; s = k + 9; f = u + 1; v = w + 2; u = v + 17; h = m + 20; k = d + 10; e = w + 1; d = h + 16; i = o + 19; w = 9; m = e + 6; o = f + 11. Given that w = 9, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 10", "c": "g + 13", "j": "c + 6", "f": "j + 19", "a": "f + 9", "w": "a + 13", "x": "m + 13", "d": "x + 18", "q": "d + 19", "r": "q + 1", "n": "r + 15", "e": "n + 17", "m": 11}, "premises": {"m": 11}, "target": "w"}, "answer": {"steps": [["g", "m + 10", 21], ["c", "g + 13", 34], ["j", "c + 6", 40], ["f", "j + 19", 59], ["a", "f + 9", 68], ["w", "a + 13", 81]], "target_var_name": "w", "target_value": 81, "value_dict": {"m": 11, "g": 21, "c": 34, "j": 40, "f": 59, "a": 68, "w": 81}, "is_reverse": false}} | 889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 18; x = m + 13; f = j + 19; c = g + 13; g = m + 10; n = r + 15; j = c + 6; e = n + 17; r = q + 1; w = a + 13; m = 11; a = f + 9; q = d + 19. If m = 11, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = m + 10, which gives g = 21.\n2. Compute c using c = g + 13, which gives c = 34.\n3. Compute j using j = c + 6, which gives j = 40.\n4. Compute f using f = j + 19, which gives f = 59.\n5. Compute a using a = f + 9, which gives a = 68.\n6. Compute w using w = a + 13, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 889,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 18; x = m + 13; f = j + 19; c = g + 13; g = m + 10; n = r + 15; j = c + 6; e = n + 17; r = q + 1; w = a + 13; m = 11; a = f + 9; q = d + 19. If m = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 9", "p": "o + 3", "y": "p + 3", "h": "y + 18", "e": "h + 9", "d": "e + 19", "j": "m + 17", "s": "j + 11", "r": "s + 11", "c": "r + 4", "g": "c + 2", "q": "g + 11", "m": 20}, "premises": {"m": 20}, "target": "d"}, "answer": {"steps": [["o", "m + 9", 29], ["p", "o + 3", 32], ["y", "p + 3", 35], ["h", "y + 18", 53], ["e", "h + 9", 62], ["d", "e + 19", 81]], "target_var_name": "d", "target_value": 81, "value_dict": {"m": 20, "o": 29, "p": 32, "y": 35, "h": 53, "e": 62, "d": 81}, "is_reverse": false}} | 890 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 11; q = g + 11; j = m + 17; y = p + 3; d = e + 19; m = 20; p = o + 3; c = r + 4; s = j + 11; g = c + 2; e = h + 9; h = y + 18; o = m + 9. Given that m = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = m + 9, which gives o = 29.\n2. Compute p using p = o + 3, which gives p = 32.\n3. Compute y using y = p + 3, which gives y = 35.\n4. Compute h using h = y + 18, which gives h = 53.\n5. Compute e using e = h + 9, which gives e = 62.\n6. Compute d using d = e + 19, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 890,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 11; q = g + 11; j = m + 17; y = p + 3; d = e + 19; m = 20; p = o + 3; c = r + 4; s = j + 11; g = c + 2; e = h + 9; h = y + 18; o = m + 9. Given that m = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 18", "e": "w + 14", "v": "e + 14", "f": "v + 5", "l": "f + 13", "p": "l + 6", "k": "z + 16", "r": "k + 19", "d": "r + 4", "n": "d + 16", "t": "n + 20", "s": "t + 18", "z": 13}, "premises": {"z": 13}, "target": "p"}, "answer": {"steps": [["w", "z + 18", 31], ["e", "w + 14", 45], ["v", "e + 14", 59], ["f", "v + 5", 64], ["l", "f + 13", 77], ["p", "l + 6", 83]], "target_var_name": "p", "target_value": 83, "value_dict": {"z": 13, "w": 31, "e": 45, "v": 59, "f": 64, "l": 77, "p": 83}, "is_reverse": false}} | 891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 16; w = z + 18; p = l + 6; e = w + 14; l = f + 13; k = z + 16; f = v + 5; v = e + 14; d = r + 4; t = n + 20; s = t + 18; r = k + 19; z = 13. Given that z = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = z + 18, which gives w = 31.\n2. Compute e using e = w + 14, which gives e = 45.\n3. Compute v using v = e + 14, which gives v = 59.\n4. Compute f using f = v + 5, which gives f = 64.\n5. Compute l using l = f + 13, which gives l = 77.\n6. Compute p using p = l + 6, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 891,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 16; w = z + 18; p = l + 6; e = w + 14; l = f + 13; k = z + 16; f = v + 5; v = e + 14; d = r + 4; t = n + 20; s = t + 18; r = k + 19; z = 13. Given that z = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 1", "n": "e + 8", "l": "n + 11", "y": "l + 1", "u": "y + 14", "q": "u + 8", "t": "p + 9", "c": "t + 12", "j": "c + 11", "z": "j + 11", "x": "z + 3", "o": "x + 6", "p": 18}, "premises": {"p": 18}, "target": "q"}, "answer": {"steps": [["e", "p + 1", 19], ["n", "e + 8", 27], ["l", "n + 11", 38], ["y", "l + 1", 39], ["u", "y + 14", 53], ["q", "u + 8", 61]], "target_var_name": "q", "target_value": 61, "value_dict": {"p": 18, "e": 19, "n": 27, "l": 38, "y": 39, "u": 53, "q": 61}, "is_reverse": false}} | 892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 18; t = p + 9; z = j + 11; c = t + 12; u = y + 14; n = e + 8; j = c + 11; e = p + 1; q = u + 8; l = n + 11; x = z + 3; o = x + 6; y = l + 1. If p = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = p + 1, which gives e = 19.\n2. Compute n using n = e + 8, which gives n = 27.\n3. Compute l using l = n + 11, which gives l = 38.\n4. Compute y using y = l + 1, which gives y = 39.\n5. Compute u using u = y + 14, which gives u = 53.\n6. Compute q using q = u + 8, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 892,
"question": "Consider a system of variables where each variable is defined as follows: p = 18; t = p + 9; z = j + 11; c = t + 12; u = y + 14; n = e + 8; j = c + 11; e = p + 1; q = u + 8; l = n + 11; x = z + 3; o = x + 6; y = l + 1. If p = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 1", "a": "y + 10", "d": "a + 16", "o": "d + 18", "z": "o + 16", "l": "z + 2", "k": "r + 7", "w": "k + 1", "f": "w + 8", "j": "f + 14", "p": "j + 9", "i": "p + 11", "r": 3}, "premises": {"r": 3}, "target": "l"}, "answer": {"steps": [["y", "r + 1", 4], ["a", "y + 10", 14], ["d", "a + 16", 30], ["o", "d + 18", 48], ["z", "o + 16", 64], ["l", "z + 2", 66]], "target_var_name": "l", "target_value": 66, "value_dict": {"r": 3, "y": 4, "a": 14, "d": 30, "o": 48, "z": 64, "l": 66}, "is_reverse": false}} | 893 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 7; j = f + 14; f = w + 8; r = 3; w = k + 1; i = p + 11; o = d + 18; z = o + 16; l = z + 2; p = j + 9; y = r + 1; d = a + 16; a = y + 10. If r = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = r + 1, which gives y = 4.\n2. Compute a using a = y + 10, which gives a = 14.\n3. Compute d using d = a + 16, which gives d = 30.\n4. Compute o using o = d + 18, which gives o = 48.\n5. Compute z using z = o + 16, which gives z = 64.\n6. Compute l using l = z + 2, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 893,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 7; j = f + 14; f = w + 8; r = 3; w = k + 1; i = p + 11; o = d + 18; z = o + 16; l = z + 2; p = j + 9; y = r + 1; d = a + 16; a = y + 10. If r = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"f": "m + 4", "q": "f + 10", "v": "q + 14", "w": "v + 20", "l": "w + 14", "p": "l + 12", "c": "m + 4", "d": "c + 20", "k": "d + 15", "h": "k + 14", "j": "h + 10", "x": "j + 14", "m": 8}, "premises": {"m": 8}, "target": "p"}, "answer": {"steps": [["f", "m + 4", 12], ["q", "f + 10", 22], ["v", "q + 14", 36], ["w", "v + 20", 56], ["l", "w + 14", 70], ["p", "l + 12", 82]], "target_var_name": "p", "target_value": 82, "value_dict": {"m": 8, "f": 12, "q": 22, "v": 36, "w": 56, "l": 70, "p": 82}, "is_reverse": false}} | 894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = m + 4; w = v + 20; p = l + 12; q = f + 10; d = c + 20; h = k + 14; j = h + 10; x = j + 14; v = q + 14; c = m + 4; l = w + 14; k = d + 15; m = 8. If m = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = m + 4, which gives f = 12.\n2. Compute q using q = f + 10, which gives q = 22.\n3. Compute v using v = q + 14, which gives v = 36.\n4. Compute w using w = v + 20, which gives w = 56.\n5. Compute l using l = w + 14, which gives l = 70.\n6. Compute p using p = l + 12, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 894,
"question": "Consider a system of variables where each variable is defined as follows: f = m + 4; w = v + 20; p = l + 12; q = f + 10; d = c + 20; h = k + 14; j = h + 10; x = j + 14; v = q + 14; c = m + 4; l = w + 14; k = d + 15; m = 8. If m = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 8", "s": "r + 1", "z": "s + 1", "k": "z + 11", "p": "k + 8", "v": "p + 17", "q": "o + 10", "n": "q + 2", "c": "n + 10", "x": "c + 14", "g": "x + 10", "w": "g + 17", "o": 9}, "premises": {"o": 9}, "target": "v"}, "answer": {"steps": [["r", "o + 8", 17], ["s", "r + 1", 18], ["z", "s + 1", 19], ["k", "z + 11", 30], ["p", "k + 8", 38], ["v", "p + 17", 55]], "target_var_name": "v", "target_value": 55, "value_dict": {"o": 9, "r": 17, "s": 18, "z": 19, "k": 30, "p": 38, "v": 55}, "is_reverse": false}} | 895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 10; w = g + 17; r = o + 8; p = k + 8; k = z + 11; x = c + 14; v = p + 17; n = q + 2; s = r + 1; z = s + 1; o = 9; q = o + 10; c = n + 10. Given that o = 9, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"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 = 17.\n2. Compute s using s = r + 1, which gives s = 18.\n3. Compute z using z = s + 1, which gives z = 19.\n4. Compute k using k = z + 11, which gives k = 30.\n5. Compute p using p = k + 8, which gives p = 38.\n6. Compute v using v = p + 17, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 895,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 10; w = g + 17; r = o + 8; p = k + 8; k = z + 11; x = c + 14; v = p + 17; n = q + 2; s = r + 1; z = s + 1; o = 9; q = o + 10; c = n + 10. Given that o = 9, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "m + 7", "y": "b + 16", "q": "y + 19", "s": "q + 19", "v": "s + 2", "d": "v + 3", "h": "m + 19", "x": "h + 12", "g": "x + 1", "u": "g + 8", "c": "u + 19", "n": "c + 9", "m": 20}, "premises": {"m": 20}, "target": "d"}, "answer": {"steps": [["b", "m + 7", 27], ["y", "b + 16", 43], ["q", "y + 19", 62], ["s", "q + 19", 81], ["v", "s + 2", 83], ["d", "v + 3", 86]], "target_var_name": "d", "target_value": 86, "value_dict": {"m": 20, "b": 27, "y": 43, "q": 62, "s": 81, "v": 83, "d": 86}, "is_reverse": false}} | 896 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 8; n = c + 9; y = b + 16; v = s + 2; h = m + 19; b = m + 7; g = x + 1; q = y + 19; m = 20; d = v + 3; s = q + 19; c = u + 19; x = h + 12. Given that m = 20, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = m + 7, which gives b = 27.\n2. Compute y using y = b + 16, which gives y = 43.\n3. Compute q using q = y + 19, which gives q = 62.\n4. Compute s using s = q + 19, which gives s = 81.\n5. Compute v using v = s + 2, which gives v = 83.\n6. Compute d using d = v + 3, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 896,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 8; n = c + 9; y = b + 16; v = s + 2; h = m + 19; b = m + 7; g = x + 1; q = y + 19; m = 20; d = v + 3; s = q + 19; c = u + 19; x = h + 12. Given that m = 20, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 8", "o": "i + 11", "q": "o + 2", "c": "q + 15", "h": "c + 1", "g": "h + 9", "w": "v + 2", "y": "w + 9", "x": "y + 17", "s": "x + 6", "u": "s + 14", "r": "u + 17", "v": 20}, "premises": {"v": 20}, "target": "g"}, "answer": {"steps": [["i", "v + 8", 28], ["o", "i + 11", 39], ["q", "o + 2", 41], ["c", "q + 15", 56], ["h", "c + 1", 57], ["g", "h + 9", 66]], "target_var_name": "g", "target_value": 66, "value_dict": {"v": 20, "i": 28, "o": 39, "q": 41, "c": 56, "h": 57, "g": 66}, "is_reverse": false}} | 897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 11; h = c + 1; y = w + 9; q = o + 2; x = y + 17; u = s + 14; i = v + 8; g = h + 9; r = u + 17; s = x + 6; v = 20; c = q + 15; w = v + 2. If v = 20, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = v + 8, which gives i = 28.\n2. Compute o using o = i + 11, which gives o = 39.\n3. Compute q using q = o + 2, which gives q = 41.\n4. Compute c using c = q + 15, which gives c = 56.\n5. Compute h using h = c + 1, which gives h = 57.\n6. Compute g using g = h + 9, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 897,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 11; h = c + 1; y = w + 9; q = o + 2; x = y + 17; u = s + 14; i = v + 8; g = h + 9; r = u + 17; s = x + 6; v = 20; c = q + 15; w = v + 2. If v = 20, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"v": "z + 11", "j": "v + 17", "r": "j + 18", "u": "r + 6", "d": "u + 16", "n": "d + 12", "x": "z + 8", "s": "x + 12", "p": "s + 14", "y": "p + 15", "a": "y + 4", "k": "a + 20", "z": 4}, "premises": {"z": 4}, "target": "n"}, "answer": {"steps": [["v", "z + 11", 15], ["j", "v + 17", 32], ["r", "j + 18", 50], ["u", "r + 6", 56], ["d", "u + 16", 72], ["n", "d + 12", 84]], "target_var_name": "n", "target_value": 84, "value_dict": {"z": 4, "v": 15, "j": 32, "r": 50, "u": 56, "d": 72, "n": 84}, "is_reverse": false}} | 898 | 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 = 4; s = x + 12; p = s + 14; n = d + 12; u = r + 6; j = v + 17; d = u + 16; a = y + 4; k = a + 20; r = j + 18; v = z + 11; x = z + 8; y = p + 15. If z = 4, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = z + 11, which gives v = 15.\n2. Compute j using j = v + 17, which gives j = 32.\n3. Compute r using r = j + 18, which gives r = 50.\n4. Compute u using u = r + 6, which gives u = 56.\n5. Compute d using d = u + 16, which gives d = 72.\n6. Compute n using n = d + 12, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 898,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 4; s = x + 12; p = s + 14; n = d + 12; u = r + 6; j = v + 17; d = u + 16; a = y + 4; k = a + 20; r = j + 18; v = z + 11; x = z + 8; y = p + 15. If z = 4, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 7", "r": "o + 3", "d": "r + 13", "t": "d + 5", "g": "t + 9", "q": "g + 18", "a": "w + 16", "m": "a + 1", "e": "m + 16", "i": "e + 19", "k": "i + 7", "n": "k + 18", "w": 19}, "premises": {"w": 19}, "target": "q"}, "answer": {"steps": [["o", "w + 7", 26], ["r", "o + 3", 29], ["d", "r + 13", 42], ["t", "d + 5", 47], ["g", "t + 9", 56], ["q", "g + 18", 74]], "target_var_name": "q", "target_value": 74, "value_dict": {"w": 19, "o": 26, "r": 29, "d": 42, "t": 47, "g": 56, "q": 74}, "is_reverse": false}} | 899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = a + 1; k = i + 7; w = 19; t = d + 5; n = k + 18; d = r + 13; i = e + 19; a = w + 16; g = t + 9; q = g + 18; r = o + 3; o = w + 7; e = m + 16. If w = 19, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = w + 7, which gives o = 26.\n2. Compute r using r = o + 3, which gives r = 29.\n3. Compute d using d = r + 13, which gives d = 42.\n4. Compute t using t = d + 5, which gives t = 47.\n5. Compute g using g = t + 9, which gives g = 56.\n6. Compute q using q = g + 18, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 899,
"question": "Consider a system of variables where each variable is defined as follows: m = a + 1; k = i + 7; w = 19; t = d + 5; n = k + 18; d = r + 13; i = e + 19; a = w + 16; g = t + 9; q = g + 18; r = o + 3; o = w + 7; e = m + 16. If w = 19, determine the value of q.",
"split": "train"
} |
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