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": {"y": "u + 8", "n": "y + 13", "t": "n + 4", "i": "t + 10", "w": "i + 8", "b": "w + 7", "o": "u + 19", "v": "o + 9", "e": "v + 10", "p": "e + 20", "x": "p + 9", "h": "x + 20", "u": 14}, "premises": {"u": 14}, "target": "b"}, "answer": {"steps": [["y", "u + 8", 22], ["n", "y + 13", 35], ["t", "n + 4", 39], ["i", "t + 10", 49], ["w", "i + 8", 57], ["b", "w + 7", 64]], "target_var_name": "b", "target_value": 64, "value_dict": {"u": 14, "y": 22, "n": 35, "t": 39, "i": 49, "w": 57, "b": 64}, "is_reverse": false}} | 600 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 4; u = 14; o = u + 19; b = w + 7; x = p + 9; w = i + 8; i = t + 10; v = o + 9; y = u + 8; e = v + 10; n = y + 13; p = e + 20; h = x + 20. If u = 14, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = u + 8, which gives y = 22.\n2. Compute n using n = y + 13, which gives n = 35.\n3. Compute t using t = n + 4, which gives t = 39.\n4. Compute i using i = t + 10, which gives i = 49.\n5. Compute w using w = i + 8, which gives w = 57.\n6. Compute b using b = w + 7, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = n + 4; u = 14; o = u + 19; b = w + 7; x = p + 9; w = i + 8; i = t + 10; v = o + 9; y = u + 8; e = v + 10; n = y + 13; p = e + 20; h = x + 20. If u = 14, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 11", "u": "s + 7", "l": "u + 6", "o": "l + 20", "h": "o + 20", "m": "h + 18", "f": "w + 11", "k": "f + 17", "d": "k + 12", "v": "d + 5", "n": "v + 12", "r": "n + 20", "w": 8}, "premises": {"w": 8}, "target": "m"}, "answer": {"steps": [["s", "w + 11", 19], ["u", "s + 7", 26], ["l", "u + 6", 32], ["o", "l + 20", 52], ["h", "o + 20", 72], ["m", "h + 18", 90]], "target_var_name": "m", "target_value": 90, "value_dict": {"w": 8, "s": 19, "u": 26, "l": 32, "o": 52, "h": 72, "m": 90}, "is_reverse": false}} | 601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 8; r = n + 20; o = l + 20; k = f + 17; n = v + 12; v = d + 5; u = s + 7; m = h + 18; h = o + 20; s = w + 11; d = k + 12; l = u + 6; f = w + 11. If w = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = w + 11, which gives s = 19.\n2. Compute u using u = s + 7, which gives u = 26.\n3. Compute l using l = u + 6, which gives l = 32.\n4. Compute o using o = l + 20, which gives o = 52.\n5. Compute h using h = o + 20, which gives h = 72.\n6. Compute m using m = h + 18, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 601,
"question": "Consider a system of variables where each variable is defined as follows: w = 8; r = n + 20; o = l + 20; k = f + 17; n = v + 12; v = d + 5; u = s + 7; m = h + 18; h = o + 20; s = w + 11; d = k + 12; l = u + 6; f = w + 11. If w = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "m + 16", "z": "c + 19", "a": "z + 17", "x": "a + 1", "b": "x + 11", "r": "b + 4", "y": "m + 19", "n": "y + 16", "g": "n + 2", "d": "g + 9", "t": "d + 18", "v": "t + 2", "m": 18}, "premises": {"m": 18}, "target": "r"}, "answer": {"steps": [["c", "m + 16", 34], ["z", "c + 19", 53], ["a", "z + 17", 70], ["x", "a + 1", 71], ["b", "x + 11", 82], ["r", "b + 4", 86]], "target_var_name": "r", "target_value": 86, "value_dict": {"m": 18, "c": 34, "z": 53, "a": 70, "x": 71, "b": 82, "r": 86}, "is_reverse": false}} | 602 | 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 = c + 19; r = b + 4; g = n + 2; v = t + 2; c = m + 16; x = a + 1; y = m + 19; b = x + 11; n = y + 16; m = 18; a = z + 17; t = d + 18; d = g + 9. If m = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = m + 16, which gives c = 34.\n2. Compute z using z = c + 19, which gives z = 53.\n3. Compute a using a = z + 17, which gives a = 70.\n4. Compute x using x = a + 1, which gives x = 71.\n5. Compute b using b = x + 11, which gives b = 82.\n6. Compute r using r = b + 4, which gives r = 86.\n\nThus, the final answer is r = \\boxed{86}.",
"index": 602,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 19; r = b + 4; g = n + 2; v = t + 2; c = m + 16; x = a + 1; y = m + 19; b = x + 11; n = y + 16; m = 18; a = z + 17; t = d + 18; d = g + 9. If m = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 9", "o": "q + 3", "t": "o + 1", "x": "t + 9", "j": "x + 1", "p": "j + 12", "m": "s + 9", "h": "m + 10", "w": "h + 2", "b": "w + 11", "z": "b + 8", "u": "z + 1", "s": 19}, "premises": {"s": 19}, "target": "p"}, "answer": {"steps": [["q", "s + 9", 28], ["o", "q + 3", 31], ["t", "o + 1", 32], ["x", "t + 9", 41], ["j", "x + 1", 42], ["p", "j + 12", 54]], "target_var_name": "p", "target_value": 54, "value_dict": {"s": 19, "q": 28, "o": 31, "t": 32, "x": 41, "j": 42, "p": 54}, "is_reverse": false}} | 603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = t + 9; s = 19; u = z + 1; o = q + 3; w = h + 2; z = b + 8; m = s + 9; t = o + 1; h = m + 10; j = x + 1; p = j + 12; q = s + 9; b = w + 11. If s = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = s + 9, which gives q = 28.\n2. Compute o using o = q + 3, which gives o = 31.\n3. Compute t using t = o + 1, which gives t = 32.\n4. Compute x using x = t + 9, which gives x = 41.\n5. Compute j using j = x + 1, which gives j = 42.\n6. Compute p using p = j + 12, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 603,
"question": "Consider a system of variables where each variable is defined as follows: x = t + 9; s = 19; u = z + 1; o = q + 3; w = h + 2; z = b + 8; m = s + 9; t = o + 1; h = m + 10; j = x + 1; p = j + 12; q = s + 9; b = w + 11. If s = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 18", "b": "s + 8", "h": "b + 4", "t": "h + 11", "x": "t + 3", "j": "x + 3", "m": "f + 16", "r": "m + 18", "q": "r + 6", "c": "q + 10", "n": "c + 8", "i": "n + 1", "f": 20}, "premises": {"f": 20}, "target": "j"}, "answer": {"steps": [["s", "f + 18", 38], ["b", "s + 8", 46], ["h", "b + 4", 50], ["t", "h + 11", 61], ["x", "t + 3", 64], ["j", "x + 3", 67]], "target_var_name": "j", "target_value": 67, "value_dict": {"f": 20, "s": 38, "b": 46, "h": 50, "t": 61, "x": 64, "j": 67}, "is_reverse": false}} | 604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 6; x = t + 3; c = q + 10; n = c + 8; j = x + 3; r = m + 18; s = f + 18; i = n + 1; f = 20; t = h + 11; h = b + 4; m = f + 16; b = s + 8. If f = 20, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = f + 18, which gives s = 38.\n2. Compute b using b = s + 8, which gives b = 46.\n3. Compute h using h = b + 4, which gives h = 50.\n4. Compute t using t = h + 11, which gives t = 61.\n5. Compute x using x = t + 3, which gives x = 64.\n6. Compute j using j = x + 3, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 604,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = r + 6; x = t + 3; c = q + 10; n = c + 8; j = x + 3; r = m + 18; s = f + 18; i = n + 1; f = 20; t = h + 11; h = b + 4; m = f + 16; b = s + 8. If f = 20, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 4", "f": "g + 11", "m": "f + 2", "o": "m + 4", "z": "o + 6", "v": "z + 10", "j": "c + 18", "a": "j + 19", "y": "a + 18", "e": "y + 2", "t": "e + 19", "u": "t + 13", "c": 12}, "premises": {"c": 12}, "target": "v"}, "answer": {"steps": [["g", "c + 4", 16], ["f", "g + 11", 27], ["m", "f + 2", 29], ["o", "m + 4", 33], ["z", "o + 6", 39], ["v", "z + 10", 49]], "target_var_name": "v", "target_value": 49, "value_dict": {"c": 12, "g": 16, "f": 27, "m": 29, "o": 33, "z": 39, "v": 49}, "is_reverse": false}} | 605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 11; y = a + 18; v = z + 10; o = m + 4; g = c + 4; z = o + 6; j = c + 18; t = e + 19; m = f + 2; a = j + 19; e = y + 2; c = 12; u = t + 13. If c = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = c + 4, which gives g = 16.\n2. Compute f using f = g + 11, which gives f = 27.\n3. Compute m using m = f + 2, which gives m = 29.\n4. Compute o using o = m + 4, which gives o = 33.\n5. Compute z using z = o + 6, which gives z = 39.\n6. Compute v using v = z + 10, which gives v = 49.\n\nThus, the final answer is v = \\boxed{49}.",
"index": 605,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 11; y = a + 18; v = z + 10; o = m + 4; g = c + 4; z = o + 6; j = c + 18; t = e + 19; m = f + 2; a = j + 19; e = y + 2; c = 12; u = t + 13. If c = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 12", "c": "e + 14", "q": "c + 8", "w": "q + 14", "a": "w + 18", "p": "a + 8", "v": "f + 13", "i": "v + 12", "h": "i + 19", "u": "h + 3", "s": "u + 3", "x": "s + 20", "f": 9}, "premises": {"f": 9}, "target": "p"}, "answer": {"steps": [["e", "f + 12", 21], ["c", "e + 14", 35], ["q", "c + 8", 43], ["w", "q + 14", 57], ["a", "w + 18", 75], ["p", "a + 8", 83]], "target_var_name": "p", "target_value": 83, "value_dict": {"f": 9, "e": 21, "c": 35, "q": 43, "w": 57, "a": 75, "p": 83}, "is_reverse": false}} | 606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 8; s = u + 3; a = w + 18; e = f + 12; x = s + 20; v = f + 13; c = e + 14; w = q + 14; q = c + 8; i = v + 12; u = h + 3; h = i + 19; f = 9. Given that f = 9, 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 e using e = f + 12, which gives e = 21.\n2. Compute c using c = e + 14, which gives c = 35.\n3. Compute q using q = c + 8, which gives q = 43.\n4. Compute w using w = q + 14, which gives w = 57.\n5. Compute a using a = w + 18, which gives a = 75.\n6. Compute p using p = a + 8, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 606,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 8; s = u + 3; a = w + 18; e = f + 12; x = s + 20; v = f + 13; c = e + 14; w = q + 14; q = c + 8; i = v + 12; u = h + 3; h = i + 19; f = 9. Given that f = 9, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 4", "p": "d + 4", "w": "p + 2", "t": "w + 13", "f": "t + 7", "x": "f + 8", "i": "g + 15", "s": "i + 19", "c": "s + 14", "e": "c + 2", "l": "e + 15", "j": "l + 5", "g": 14}, "premises": {"g": 14}, "target": "x"}, "answer": {"steps": [["d", "g + 4", 18], ["p", "d + 4", 22], ["w", "p + 2", 24], ["t", "w + 13", 37], ["f", "t + 7", 44], ["x", "f + 8", 52]], "target_var_name": "x", "target_value": 52, "value_dict": {"g": 14, "d": 18, "p": 22, "w": 24, "t": 37, "f": 44, "x": 52}, "is_reverse": false}} | 607 | 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 = p + 2; p = d + 4; f = t + 7; g = 14; c = s + 14; x = f + 8; i = g + 15; t = w + 13; j = l + 5; l = e + 15; d = g + 4; s = i + 19; e = c + 2. If g = 14, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = g + 4, which gives d = 18.\n2. Compute p using p = d + 4, which gives p = 22.\n3. Compute w using w = p + 2, which gives w = 24.\n4. Compute t using t = w + 13, which gives t = 37.\n5. Compute f using f = t + 7, which gives f = 44.\n6. Compute x using x = f + 8, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 607,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = p + 2; p = d + 4; f = t + 7; g = 14; c = s + 14; x = f + 8; i = g + 15; t = w + 13; j = l + 5; l = e + 15; d = g + 4; s = i + 19; e = c + 2. If g = 14, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 7", "m": "c + 2", "g": "m + 8", "w": "g + 17", "e": "w + 20", "q": "e + 11", "u": "s + 15", "x": "u + 1", "a": "x + 10", "v": "a + 12", "l": "v + 14", "k": "l + 10", "s": 4}, "premises": {"s": 4}, "target": "q"}, "answer": {"steps": [["c", "s + 7", 11], ["m", "c + 2", 13], ["g", "m + 8", 21], ["w", "g + 17", 38], ["e", "w + 20", 58], ["q", "e + 11", 69]], "target_var_name": "q", "target_value": 69, "value_dict": {"s": 4, "c": 11, "m": 13, "g": 21, "w": 38, "e": 58, "q": 69}, "is_reverse": false}} | 608 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = a + 12; l = v + 14; e = w + 20; c = s + 7; q = e + 11; s = 4; u = s + 15; k = l + 10; w = g + 17; a = x + 10; m = c + 2; g = m + 8; x = u + 1. Given that s = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = s + 7, which gives c = 11.\n2. Compute m using m = c + 2, which gives m = 13.\n3. Compute g using g = m + 8, which gives g = 21.\n4. Compute w using w = g + 17, which gives w = 38.\n5. Compute e using e = w + 20, which gives e = 58.\n6. Compute q using q = e + 11, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 608,
"question": "Suppose a collection of variables is related by the following definitions: v = a + 12; l = v + 14; e = w + 20; c = s + 7; q = e + 11; s = 4; u = s + 15; k = l + 10; w = g + 17; a = x + 10; m = c + 2; g = m + 8; x = u + 1. Given that s = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 16", "b": "o + 17", "y": "b + 17", "d": "y + 5", "c": "d + 19", "a": "c + 10", "m": "f + 13", "l": "m + 17", "g": "l + 11", "k": "g + 6", "v": "k + 2", "n": "v + 18", "f": 8}, "premises": {"f": 8}, "target": "a"}, "answer": {"steps": [["o", "f + 16", 24], ["b", "o + 17", 41], ["y", "b + 17", 58], ["d", "y + 5", 63], ["c", "d + 19", 82], ["a", "c + 10", 92]], "target_var_name": "a", "target_value": 92, "value_dict": {"f": 8, "o": 24, "b": 41, "y": 58, "d": 63, "c": 82, "a": 92}, "is_reverse": false}} | 609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 2; m = f + 13; d = y + 5; n = v + 18; l = m + 17; k = g + 6; g = l + 11; c = d + 19; y = b + 17; b = o + 17; o = f + 16; a = c + 10; f = 8. If f = 8, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = f + 16, which gives o = 24.\n2. Compute b using b = o + 17, which gives b = 41.\n3. Compute y using y = b + 17, which gives y = 58.\n4. Compute d using d = y + 5, which gives d = 63.\n5. Compute c using c = d + 19, which gives c = 82.\n6. Compute a using a = c + 10, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 609,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 2; m = f + 13; d = y + 5; n = v + 18; l = m + 17; k = g + 6; g = l + 11; c = d + 19; y = b + 17; b = o + 17; o = f + 16; a = c + 10; f = 8. If f = 8, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 3", "l": "h + 7", "i": "l + 11", "a": "i + 11", "z": "a + 4", "t": "z + 14", "c": "x + 9", "p": "c + 2", "d": "p + 17", "s": "d + 10", "r": "s + 16", "k": "r + 14", "x": 15}, "premises": {"x": 15}, "target": "t"}, "answer": {"steps": [["h", "x + 3", 18], ["l", "h + 7", 25], ["i", "l + 11", 36], ["a", "i + 11", 47], ["z", "a + 4", 51], ["t", "z + 14", 65]], "target_var_name": "t", "target_value": 65, "value_dict": {"x": 15, "h": 18, "l": 25, "i": 36, "a": 47, "z": 51, "t": 65}, "is_reverse": false}} | 610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 4; d = p + 17; r = s + 16; c = x + 9; i = l + 11; h = x + 3; k = r + 14; t = z + 14; x = 15; p = c + 2; a = i + 11; l = h + 7; s = d + 10. Given that x = 15, find 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 = x + 3, which gives h = 18.\n2. Compute l using l = h + 7, which gives l = 25.\n3. Compute i using i = l + 11, which gives i = 36.\n4. Compute a using a = i + 11, which gives a = 47.\n5. Compute z using z = a + 4, which gives z = 51.\n6. Compute t using t = z + 14, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 610,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 4; d = p + 17; r = s + 16; c = x + 9; i = l + 11; h = x + 3; k = r + 14; t = z + 14; x = 15; p = c + 2; a = i + 11; l = h + 7; s = d + 10. Given that x = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 9", "r": "e + 15", "c": "r + 3", "t": "c + 9", "k": "t + 12", "u": "k + 4", "o": "x + 12", "p": "o + 12", "m": "p + 13", "n": "m + 17", "h": "n + 13", "q": "h + 8", "x": 7}, "premises": {"x": 7}, "target": "u"}, "answer": {"steps": [["e", "x + 9", 16], ["r", "e + 15", 31], ["c", "r + 3", 34], ["t", "c + 9", 43], ["k", "t + 12", 55], ["u", "k + 4", 59]], "target_var_name": "u", "target_value": 59, "value_dict": {"x": 7, "e": 16, "r": 31, "c": 34, "t": 43, "k": 55, "u": 59}, "is_reverse": false}} | 611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = m + 17; m = p + 13; o = x + 12; h = n + 13; c = r + 3; r = e + 15; x = 7; t = c + 9; u = k + 4; e = x + 9; k = t + 12; p = o + 12; q = h + 8. If x = 7, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = x + 9, which gives e = 16.\n2. Compute r using r = e + 15, which gives r = 31.\n3. Compute c using c = r + 3, which gives c = 34.\n4. Compute t using t = c + 9, which gives t = 43.\n5. Compute k using k = t + 12, which gives k = 55.\n6. Compute u using u = k + 4, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 611,
"question": "Consider a system of variables where each variable is defined as follows: n = m + 17; m = p + 13; o = x + 12; h = n + 13; c = r + 3; r = e + 15; x = 7; t = c + 9; u = k + 4; e = x + 9; k = t + 12; p = o + 12; q = h + 8. If x = 7, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"z": "g + 16", "v": "z + 11", "q": "v + 1", "a": "q + 7", "l": "a + 17", "c": "l + 10", "u": "g + 10", "w": "u + 3", "t": "w + 2", "r": "t + 2", "i": "r + 9", "f": "i + 6", "g": 18}, "premises": {"g": 18}, "target": "c"}, "answer": {"steps": [["z", "g + 16", 34], ["v", "z + 11", 45], ["q", "v + 1", 46], ["a", "q + 7", 53], ["l", "a + 17", 70], ["c", "l + 10", 80]], "target_var_name": "c", "target_value": 80, "value_dict": {"g": 18, "z": 34, "v": 45, "q": 46, "a": 53, "l": 70, "c": 80}, "is_reverse": false}} | 612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = r + 9; a = q + 7; u = g + 10; v = z + 11; g = 18; r = t + 2; c = l + 10; t = w + 2; f = i + 6; w = u + 3; q = v + 1; z = g + 16; l = a + 17. If g = 18, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = g + 16, which gives z = 34.\n2. Compute v using v = z + 11, which gives v = 45.\n3. Compute q using q = v + 1, which gives q = 46.\n4. Compute a using a = q + 7, which gives a = 53.\n5. Compute l using l = a + 17, which gives l = 70.\n6. Compute c using c = l + 10, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 612,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 9; a = q + 7; u = g + 10; v = z + 11; g = 18; r = t + 2; c = l + 10; t = w + 2; f = i + 6; w = u + 3; q = v + 1; z = g + 16; l = a + 17. If g = 18, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 14", "u": "o + 8", "h": "u + 12", "p": "h + 9", "f": "p + 16", "i": "f + 20", "l": "w + 19", "j": "l + 3", "k": "j + 14", "y": "k + 2", "x": "y + 17", "r": "x + 18", "w": 2}, "premises": {"w": 2}, "target": "i"}, "answer": {"steps": [["o", "w + 14", 16], ["u", "o + 8", 24], ["h", "u + 12", 36], ["p", "h + 9", 45], ["f", "p + 16", 61], ["i", "f + 20", 81]], "target_var_name": "i", "target_value": 81, "value_dict": {"w": 2, "o": 16, "u": 24, "h": 36, "p": 45, "f": 61, "i": 81}, "is_reverse": false}} | 613 | 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 = 2; u = o + 8; r = x + 18; i = f + 20; h = u + 12; p = h + 9; k = j + 14; x = y + 17; f = p + 16; l = w + 19; j = l + 3; y = k + 2; o = w + 14. If w = 2, what is the resulting value of i?",
"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 = w + 14, which gives o = 16.\n2. Compute u using u = o + 8, which gives u = 24.\n3. Compute h using h = u + 12, which gives h = 36.\n4. Compute p using p = h + 9, which gives p = 45.\n5. Compute f using f = p + 16, which gives f = 61.\n6. Compute i using i = f + 20, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 613,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 2; u = o + 8; r = x + 18; i = f + 20; h = u + 12; p = h + 9; k = j + 14; x = y + 17; f = p + 16; l = w + 19; j = l + 3; y = k + 2; o = w + 14. If w = 2, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"m": "n + 10", "u": "m + 5", "e": "u + 13", "t": "e + 6", "l": "t + 15", "c": "l + 17", "s": "n + 1", "a": "s + 11", "f": "a + 3", "p": "f + 11", "x": "p + 2", "j": "x + 12", "n": 7}, "premises": {"n": 7}, "target": "c"}, "answer": {"steps": [["m", "n + 10", 17], ["u", "m + 5", 22], ["e", "u + 13", 35], ["t", "e + 6", 41], ["l", "t + 15", 56], ["c", "l + 17", 73]], "target_var_name": "c", "target_value": 73, "value_dict": {"n": 7, "m": 17, "u": 22, "e": 35, "t": 41, "l": 56, "c": 73}, "is_reverse": false}} | 614 | 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 = n + 1; f = a + 3; u = m + 5; m = n + 10; e = u + 13; t = e + 6; a = s + 11; j = x + 12; n = 7; p = f + 11; x = p + 2; c = l + 17; l = t + 15. If n = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = n + 10, which gives m = 17.\n2. Compute u using u = m + 5, which gives u = 22.\n3. Compute e using e = u + 13, which gives e = 35.\n4. Compute t using t = e + 6, which gives t = 41.\n5. Compute l using l = t + 15, which gives l = 56.\n6. Compute c using c = l + 17, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 614,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = n + 1; f = a + 3; u = m + 5; m = n + 10; e = u + 13; t = e + 6; a = s + 11; j = x + 12; n = 7; p = f + 11; x = p + 2; c = l + 17; l = t + 15. If n = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 4", "b": "z + 7", "i": "b + 16", "o": "i + 6", "h": "o + 5", "g": "h + 8", "r": "w + 7", "q": "r + 15", "m": "q + 5", "l": "m + 14", "k": "l + 7", "f": "k + 20", "w": 9}, "premises": {"w": 9}, "target": "g"}, "answer": {"steps": [["z", "w + 4", 13], ["b", "z + 7", 20], ["i", "b + 16", 36], ["o", "i + 6", 42], ["h", "o + 5", 47], ["g", "h + 8", 55]], "target_var_name": "g", "target_value": 55, "value_dict": {"w": 9, "z": 13, "b": 20, "i": 36, "o": 42, "h": 47, "g": 55}, "is_reverse": false}} | 615 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 4; f = k + 20; b = z + 7; w = 9; g = h + 8; m = q + 5; l = m + 14; r = w + 7; h = o + 5; k = l + 7; i = b + 16; q = r + 15; o = i + 6. Given that w = 9, find 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 z using z = w + 4, which gives z = 13.\n2. Compute b using b = z + 7, which gives b = 20.\n3. Compute i using i = b + 16, which gives i = 36.\n4. Compute o using o = i + 6, which gives o = 42.\n5. Compute h using h = o + 5, which gives h = 47.\n6. Compute g using g = h + 8, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 615,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 4; f = k + 20; b = z + 7; w = 9; g = h + 8; m = q + 5; l = m + 14; r = w + 7; h = o + 5; k = l + 7; i = b + 16; q = r + 15; o = i + 6. Given that w = 9, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 17", "b": "r + 15", "v": "b + 1", "w": "v + 13", "o": "w + 13", "c": "o + 2", "g": "y + 12", "l": "g + 15", "d": "l + 5", "t": "d + 4", "h": "t + 8", "x": "h + 4", "y": 13}, "premises": {"y": 13}, "target": "c"}, "answer": {"steps": [["r", "y + 17", 30], ["b", "r + 15", 45], ["v", "b + 1", 46], ["w", "v + 13", 59], ["o", "w + 13", 72], ["c", "o + 2", 74]], "target_var_name": "c", "target_value": 74, "value_dict": {"y": 13, "r": 30, "b": 45, "v": 46, "w": 59, "o": 72, "c": 74}, "is_reverse": false}} | 616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = g + 15; b = r + 15; g = y + 12; r = y + 17; x = h + 4; c = o + 2; w = v + 13; t = d + 4; h = t + 8; y = 13; d = l + 5; v = b + 1; o = w + 13. If y = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = y + 17, which gives r = 30.\n2. Compute b using b = r + 15, which gives b = 45.\n3. Compute v using v = b + 1, which gives v = 46.\n4. Compute w using w = v + 13, which gives w = 59.\n5. Compute o using o = w + 13, which gives o = 72.\n6. Compute c using c = o + 2, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 616,
"question": "Consider a system of variables where each variable is defined as follows: l = g + 15; b = r + 15; g = y + 12; r = y + 17; x = h + 4; c = o + 2; w = v + 13; t = d + 4; h = t + 8; y = 13; d = l + 5; v = b + 1; o = w + 13. If y = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 18", "n": "c + 4", "m": "n + 10", "w": "m + 16", "i": "w + 12", "x": "i + 1", "o": "j + 17", "z": "o + 12", "u": "z + 10", "b": "u + 8", "t": "b + 14", "r": "t + 2", "j": 6}, "premises": {"j": 6}, "target": "x"}, "answer": {"steps": [["c", "j + 18", 24], ["n", "c + 4", 28], ["m", "n + 10", 38], ["w", "m + 16", 54], ["i", "w + 12", 66], ["x", "i + 1", 67]], "target_var_name": "x", "target_value": 67, "value_dict": {"j": 6, "c": 24, "n": 28, "m": 38, "w": 54, "i": 66, "x": 67}, "is_reverse": false}} | 617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = c + 4; t = b + 14; z = o + 12; c = j + 18; r = t + 2; u = z + 10; m = n + 10; w = m + 16; o = j + 17; i = w + 12; j = 6; x = i + 1; b = u + 8. If j = 6, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = j + 18, which gives c = 24.\n2. Compute n using n = c + 4, which gives n = 28.\n3. Compute m using m = n + 10, which gives m = 38.\n4. Compute w using w = m + 16, which gives w = 54.\n5. Compute i using i = w + 12, which gives i = 66.\n6. Compute x using x = i + 1, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 617,
"question": "Consider a system of variables where each variable is defined as follows: n = c + 4; t = b + 14; z = o + 12; c = j + 18; r = t + 2; u = z + 10; m = n + 10; w = m + 16; o = j + 17; i = w + 12; j = 6; x = i + 1; b = u + 8. If j = 6, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 17", "c": "z + 16", "l": "c + 9", "d": "l + 18", "t": "d + 1", "x": "t + 8", "m": "s + 18", "w": "m + 19", "j": "w + 15", "b": "j + 11", "e": "b + 5", "o": "e + 10", "s": 12}, "premises": {"s": 12}, "target": "x"}, "answer": {"steps": [["z", "s + 17", 29], ["c", "z + 16", 45], ["l", "c + 9", 54], ["d", "l + 18", 72], ["t", "d + 1", 73], ["x", "t + 8", 81]], "target_var_name": "x", "target_value": 81, "value_dict": {"s": 12, "z": 29, "c": 45, "l": 54, "d": 72, "t": 73, "x": 81}, "is_reverse": false}} | 618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 12; l = c + 9; x = t + 8; o = e + 10; j = w + 15; c = z + 16; d = l + 18; e = b + 5; m = s + 18; t = d + 1; b = j + 11; w = m + 19; z = s + 17. Given that s = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = s + 17, which gives z = 29.\n2. Compute c using c = z + 16, which gives c = 45.\n3. Compute l using l = c + 9, which gives l = 54.\n4. Compute d using d = l + 18, which gives d = 72.\n5. Compute t using t = d + 1, which gives t = 73.\n6. Compute x using x = t + 8, which gives x = 81.\n\nThus, the final answer is x = \\boxed{81}.",
"index": 618,
"question": "Suppose a collection of variables is related by the following definitions: s = 12; l = c + 9; x = t + 8; o = e + 10; j = w + 15; c = z + 16; d = l + 18; e = b + 5; m = s + 18; t = d + 1; b = j + 11; w = m + 19; z = s + 17. Given that s = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 6", "s": "f + 18", "x": "s + 7", "u": "x + 16", "n": "u + 13", "p": "n + 9", "l": "e + 2", "b": "l + 2", "i": "b + 11", "a": "i + 19", "c": "a + 16", "z": "c + 4", "e": 16}, "premises": {"e": 16}, "target": "p"}, "answer": {"steps": [["f", "e + 6", 22], ["s", "f + 18", 40], ["x", "s + 7", 47], ["u", "x + 16", 63], ["n", "u + 13", 76], ["p", "n + 9", 85]], "target_var_name": "p", "target_value": 85, "value_dict": {"e": 16, "f": 22, "s": 40, "x": 47, "u": 63, "n": 76, "p": 85}, "is_reverse": false}} | 619 | 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 = s + 7; f = e + 6; p = n + 9; a = i + 19; z = c + 4; u = x + 16; l = e + 2; s = f + 18; c = a + 16; e = 16; i = b + 11; n = u + 13; b = l + 2. If e = 16, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = e + 6, which gives f = 22.\n2. Compute s using s = f + 18, which gives s = 40.\n3. Compute x using x = s + 7, which gives x = 47.\n4. Compute u using u = x + 16, which gives u = 63.\n5. Compute n using n = u + 13, which gives n = 76.\n6. Compute p using p = n + 9, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 619,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = s + 7; f = e + 6; p = n + 9; a = i + 19; z = c + 4; u = x + 16; l = e + 2; s = f + 18; c = a + 16; e = 16; i = b + 11; n = u + 13; b = l + 2. If e = 16, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 13", "d": "j + 7", "k": "d + 15", "r": "k + 9", "z": "r + 6", "o": "z + 9", "u": "p + 1", "b": "u + 16", "e": "b + 10", "f": "e + 8", "n": "f + 12", "q": "n + 19", "p": 20}, "premises": {"p": 20}, "target": "o"}, "answer": {"steps": [["j", "p + 13", 33], ["d", "j + 7", 40], ["k", "d + 15", 55], ["r", "k + 9", 64], ["z", "r + 6", 70], ["o", "z + 9", 79]], "target_var_name": "o", "target_value": 79, "value_dict": {"p": 20, "j": 33, "d": 40, "k": 55, "r": 64, "z": 70, "o": 79}, "is_reverse": false}} | 620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = p + 13; u = p + 1; e = b + 10; k = d + 15; o = z + 9; z = r + 6; b = u + 16; f = e + 8; p = 20; n = f + 12; r = k + 9; q = n + 19; d = j + 7. If p = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = p + 13, which gives j = 33.\n2. Compute d using d = j + 7, which gives d = 40.\n3. Compute k using k = d + 15, which gives k = 55.\n4. Compute r using r = k + 9, which gives r = 64.\n5. Compute z using z = r + 6, which gives z = 70.\n6. Compute o using o = z + 9, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 620,
"question": "Consider a system of variables where each variable is defined as follows: j = p + 13; u = p + 1; e = b + 10; k = d + 15; o = z + 9; z = r + 6; b = u + 16; f = e + 8; p = 20; n = f + 12; r = k + 9; q = n + 19; d = j + 7. If p = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 20", "a": "f + 4", "u": "a + 4", "j": "u + 5", "w": "j + 7", "e": "w + 18", "x": "b + 12", "k": "x + 14", "n": "k + 16", "p": "n + 4", "s": "p + 2", "l": "s + 13", "b": 18}, "premises": {"b": 18}, "target": "e"}, "answer": {"steps": [["f", "b + 20", 38], ["a", "f + 4", 42], ["u", "a + 4", 46], ["j", "u + 5", 51], ["w", "j + 7", 58], ["e", "w + 18", 76]], "target_var_name": "e", "target_value": 76, "value_dict": {"b": 18, "f": 38, "a": 42, "u": 46, "j": 51, "w": 58, "e": 76}, "is_reverse": false}} | 621 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = 18; f = b + 20; w = j + 7; n = k + 16; k = x + 14; p = n + 4; j = u + 5; u = a + 4; e = w + 18; a = f + 4; s = p + 2; l = s + 13; x = b + 12. Given that b = 18, find the value of e.",
"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 = b + 20, which gives f = 38.\n2. Compute a using a = f + 4, which gives a = 42.\n3. Compute u using u = a + 4, which gives u = 46.\n4. Compute j using j = u + 5, which gives j = 51.\n5. Compute w using w = j + 7, which gives w = 58.\n6. Compute e using e = w + 18, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 621,
"question": "Suppose a collection of variables is related by the following definitions: b = 18; f = b + 20; w = j + 7; n = k + 16; k = x + 14; p = n + 4; j = u + 5; u = a + 4; e = w + 18; a = f + 4; s = p + 2; l = s + 13; x = b + 12. Given that b = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 16", "y": "g + 7", "p": "y + 14", "w": "p + 13", "u": "w + 16", "v": "u + 19", "f": "c + 2", "l": "f + 7", "h": "l + 12", "x": "h + 14", "q": "x + 2", "k": "q + 20", "c": 11}, "premises": {"c": 11}, "target": "v"}, "answer": {"steps": [["g", "c + 16", 27], ["y", "g + 7", 34], ["p", "y + 14", 48], ["w", "p + 13", 61], ["u", "w + 16", 77], ["v", "u + 19", 96]], "target_var_name": "v", "target_value": 96, "value_dict": {"c": 11, "g": 27, "y": 34, "p": 48, "w": 61, "u": 77, "v": 96}, "is_reverse": false}} | 622 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 7; q = x + 2; l = f + 7; c = 11; f = c + 2; k = q + 20; w = p + 13; g = c + 16; x = h + 14; u = w + 16; p = y + 14; v = u + 19; h = l + 12. If c = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = c + 16, which gives g = 27.\n2. Compute y using y = g + 7, which gives y = 34.\n3. Compute p using p = y + 14, which gives p = 48.\n4. Compute w using w = p + 13, which gives w = 61.\n5. Compute u using u = w + 16, which gives u = 77.\n6. Compute v using v = u + 19, which gives v = 96.\n\nThus, the final answer is v = \\boxed{96}.",
"index": 622,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 7; q = x + 2; l = f + 7; c = 11; f = c + 2; k = q + 20; w = p + 13; g = c + 16; x = h + 14; u = w + 16; p = y + 14; v = u + 19; h = l + 12. If c = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 15", "f": "r + 17", "i": "f + 7", "k": "i + 11", "h": "k + 16", "t": "h + 16", "c": "u + 4", "w": "c + 16", "z": "w + 16", "s": "z + 4", "n": "s + 13", "a": "n + 12", "u": 14}, "premises": {"u": 14}, "target": "t"}, "answer": {"steps": [["r", "u + 15", 29], ["f", "r + 17", 46], ["i", "f + 7", 53], ["k", "i + 11", 64], ["h", "k + 16", 80], ["t", "h + 16", 96]], "target_var_name": "t", "target_value": 96, "value_dict": {"u": 14, "r": 29, "f": 46, "i": 53, "k": 64, "h": 80, "t": 96}, "is_reverse": false}} | 623 | 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 = c + 16; k = i + 11; a = n + 12; h = k + 16; s = z + 4; n = s + 13; t = h + 16; i = f + 7; f = r + 17; c = u + 4; u = 14; z = w + 16; r = u + 15. If u = 14, what is the resulting 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 r using r = u + 15, which gives r = 29.\n2. Compute f using f = r + 17, which gives f = 46.\n3. Compute i using i = f + 7, which gives i = 53.\n4. Compute k using k = i + 11, which gives k = 64.\n5. Compute h using h = k + 16, which gives h = 80.\n6. Compute t using t = h + 16, which gives t = 96.\n\nThus, the final answer is t = \\boxed{96}.",
"index": 623,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 16; k = i + 11; a = n + 12; h = k + 16; s = z + 4; n = s + 13; t = h + 16; i = f + 7; f = r + 17; c = u + 4; u = 14; z = w + 16; r = u + 15. If u = 14, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 10", "t": "x + 1", "z": "t + 12", "r": "z + 9", "s": "r + 16", "v": "s + 1", "m": "g + 1", "o": "m + 12", "h": "o + 7", "c": "h + 3", "d": "c + 6", "w": "d + 15", "g": 9}, "premises": {"g": 9}, "target": "v"}, "answer": {"steps": [["x", "g + 10", 19], ["t", "x + 1", 20], ["z", "t + 12", 32], ["r", "z + 9", 41], ["s", "r + 16", 57], ["v", "s + 1", 58]], "target_var_name": "v", "target_value": 58, "value_dict": {"g": 9, "x": 19, "t": 20, "z": 32, "r": 41, "s": 57, "v": 58}, "is_reverse": false}} | 624 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 12; g = 9; v = s + 1; d = c + 6; m = g + 1; w = d + 15; r = z + 9; t = x + 1; o = m + 12; h = o + 7; s = r + 16; c = h + 3; x = g + 10. Given that g = 9, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = g + 10, which gives x = 19.\n2. Compute t using t = x + 1, which gives t = 20.\n3. Compute z using z = t + 12, which gives z = 32.\n4. Compute r using r = z + 9, which gives r = 41.\n5. Compute s using s = r + 16, which gives s = 57.\n6. Compute v using v = s + 1, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 624,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 12; g = 9; v = s + 1; d = c + 6; m = g + 1; w = d + 15; r = z + 9; t = x + 1; o = m + 12; h = o + 7; s = r + 16; c = h + 3; x = g + 10. Given that g = 9, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 8", "w": "l + 7", "j": "w + 20", "p": "j + 9", "i": "p + 15", "a": "i + 19", "n": "v + 5", "r": "n + 17", "g": "r + 8", "q": "g + 3", "h": "q + 3", "y": "h + 15", "v": 18}, "premises": {"v": 18}, "target": "a"}, "answer": {"steps": [["l", "v + 8", 26], ["w", "l + 7", 33], ["j", "w + 20", 53], ["p", "j + 9", 62], ["i", "p + 15", 77], ["a", "i + 19", 96]], "target_var_name": "a", "target_value": 96, "value_dict": {"v": 18, "l": 26, "w": 33, "j": 53, "p": 62, "i": 77, "a": 96}, "is_reverse": false}} | 625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 5; r = n + 17; q = g + 3; y = h + 15; i = p + 15; v = 18; a = i + 19; p = j + 9; l = v + 8; j = w + 20; h = q + 3; g = r + 8; w = l + 7. Given that v = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = v + 8, which gives l = 26.\n2. Compute w using w = l + 7, which gives w = 33.\n3. Compute j using j = w + 20, which gives j = 53.\n4. Compute p using p = j + 9, which gives p = 62.\n5. Compute i using i = p + 15, which gives i = 77.\n6. Compute a using a = i + 19, which gives a = 96.\n\nThus, the final answer is a = \\boxed{96}.",
"index": 625,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 5; r = n + 17; q = g + 3; y = h + 15; i = p + 15; v = 18; a = i + 19; p = j + 9; l = v + 8; j = w + 20; h = q + 3; g = r + 8; w = l + 7. Given that v = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 13", "k": "h + 18", "w": "k + 5", "n": "w + 6", "e": "n + 20", "p": "e + 7", "u": "c + 20", "y": "u + 20", "q": "y + 3", "b": "q + 20", "g": "b + 5", "o": "g + 5", "c": 12}, "premises": {"c": 12}, "target": "p"}, "answer": {"steps": [["h", "c + 13", 25], ["k", "h + 18", 43], ["w", "k + 5", 48], ["n", "w + 6", 54], ["e", "n + 20", 74], ["p", "e + 7", 81]], "target_var_name": "p", "target_value": 81, "value_dict": {"c": 12, "h": 25, "k": 43, "w": 48, "n": 54, "e": 74, "p": 81}, "is_reverse": false}} | 626 | 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 = g + 5; h = c + 13; n = w + 6; p = e + 7; w = k + 5; q = y + 3; b = q + 20; u = c + 20; e = n + 20; y = u + 20; g = b + 5; k = h + 18; c = 12. If c = 12, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = c + 13, which gives h = 25.\n2. Compute k using k = h + 18, which gives k = 43.\n3. Compute w using w = k + 5, which gives w = 48.\n4. Compute n using n = w + 6, which gives n = 54.\n5. Compute e using e = n + 20, which gives e = 74.\n6. Compute p using p = e + 7, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 626,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 5; h = c + 13; n = w + 6; p = e + 7; w = k + 5; q = y + 3; b = q + 20; u = c + 20; e = n + 20; y = u + 20; g = b + 5; k = h + 18; c = 12. If c = 12, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 11", "r": "u + 1", "k": "r + 13", "y": "k + 15", "m": "y + 16", "z": "m + 7", "p": "t + 9", "d": "p + 14", "q": "d + 3", "x": "q + 6", "c": "x + 13", "f": "c + 10", "t": 3}, "premises": {"t": 3}, "target": "z"}, "answer": {"steps": [["u", "t + 11", 14], ["r", "u + 1", 15], ["k", "r + 13", 28], ["y", "k + 15", 43], ["m", "y + 16", 59], ["z", "m + 7", 66]], "target_var_name": "z", "target_value": 66, "value_dict": {"t": 3, "u": 14, "r": 15, "k": 28, "y": 43, "m": 59, "z": 66}, "is_reverse": false}} | 627 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = k + 15; d = p + 14; u = t + 11; t = 3; x = q + 6; p = t + 9; c = x + 13; q = d + 3; z = m + 7; r = u + 1; m = y + 16; f = c + 10; k = r + 13. Given that t = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = t + 11, which gives u = 14.\n2. Compute r using r = u + 1, which gives r = 15.\n3. Compute k using k = r + 13, which gives k = 28.\n4. Compute y using y = k + 15, which gives y = 43.\n5. Compute m using m = y + 16, which gives m = 59.\n6. Compute z using z = m + 7, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 627,
"question": "Suppose a collection of variables is related by the following definitions: y = k + 15; d = p + 14; u = t + 11; t = 3; x = q + 6; p = t + 9; c = x + 13; q = d + 3; z = m + 7; r = u + 1; m = y + 16; f = c + 10; k = r + 13. Given that t = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 12", "u": "t + 11", "c": "u + 13", "q": "c + 16", "i": "q + 6", "v": "i + 18", "m": "l + 10", "p": "m + 9", "g": "p + 15", "e": "g + 18", "b": "e + 15", "n": "b + 5", "l": 12}, "premises": {"l": 12}, "target": "v"}, "answer": {"steps": [["t", "l + 12", 24], ["u", "t + 11", 35], ["c", "u + 13", 48], ["q", "c + 16", 64], ["i", "q + 6", 70], ["v", "i + 18", 88]], "target_var_name": "v", "target_value": 88, "value_dict": {"l": 12, "t": 24, "u": 35, "c": 48, "q": 64, "i": 70, "v": 88}, "is_reverse": false}} | 628 | 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 = e + 15; c = u + 13; i = q + 6; v = i + 18; u = t + 11; t = l + 12; m = l + 10; q = c + 16; l = 12; e = g + 18; g = p + 15; n = b + 5; p = m + 9. If l = 12, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = l + 12, which gives t = 24.\n2. Compute u using u = t + 11, which gives u = 35.\n3. Compute c using c = u + 13, which gives c = 48.\n4. Compute q using q = c + 16, which gives q = 64.\n5. Compute i using i = q + 6, which gives i = 70.\n6. Compute v using v = i + 18, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 628,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 15; c = u + 13; i = q + 6; v = i + 18; u = t + 11; t = l + 12; m = l + 10; q = c + 16; l = 12; e = g + 18; g = p + 15; n = b + 5; p = m + 9. If l = 12, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 13", "l": "d + 7", "q": "l + 5", "b": "q + 4", "r": "b + 8", "c": "r + 15", "j": "o + 8", "f": "j + 18", "m": "f + 10", "a": "m + 13", "s": "a + 19", "h": "s + 3", "o": 14}, "premises": {"o": 14}, "target": "c"}, "answer": {"steps": [["d", "o + 13", 27], ["l", "d + 7", 34], ["q", "l + 5", 39], ["b", "q + 4", 43], ["r", "b + 8", 51], ["c", "r + 15", 66]], "target_var_name": "c", "target_value": 66, "value_dict": {"o": 14, "d": 27, "l": 34, "q": 39, "b": 43, "r": 51, "c": 66}, "is_reverse": false}} | 629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 10; o = 14; b = q + 4; a = m + 13; q = l + 5; j = o + 8; f = j + 18; s = a + 19; r = b + 8; l = d + 7; d = o + 13; c = r + 15; h = s + 3. If o = 14, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = o + 13, which gives d = 27.\n2. Compute l using l = d + 7, which gives l = 34.\n3. Compute q using q = l + 5, which gives q = 39.\n4. Compute b using b = q + 4, which gives b = 43.\n5. Compute r using r = b + 8, which gives r = 51.\n6. Compute c using c = r + 15, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 629,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 10; o = 14; b = q + 4; a = m + 13; q = l + 5; j = o + 8; f = j + 18; s = a + 19; r = b + 8; l = d + 7; d = o + 13; c = r + 15; h = s + 3. If o = 14, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 14", "m": "t + 6", "x": "m + 3", "q": "x + 12", "u": "q + 6", "c": "u + 18", "g": "a + 11", "f": "g + 13", "j": "f + 6", "l": "j + 16", "i": "l + 3", "r": "i + 7", "a": 7}, "premises": {"a": 7}, "target": "c"}, "answer": {"steps": [["t", "a + 14", 21], ["m", "t + 6", 27], ["x", "m + 3", 30], ["q", "x + 12", 42], ["u", "q + 6", 48], ["c", "u + 18", 66]], "target_var_name": "c", "target_value": 66, "value_dict": {"a": 7, "t": 21, "m": 27, "x": 30, "q": 42, "u": 48, "c": 66}, "is_reverse": false}} | 630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 13; u = q + 6; m = t + 6; i = l + 3; r = i + 7; c = u + 18; q = x + 12; a = 7; j = f + 6; x = m + 3; l = j + 16; t = a + 14; g = a + 11. Given that a = 7, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = a + 14, which gives t = 21.\n2. Compute m using m = t + 6, which gives m = 27.\n3. Compute x using x = m + 3, which gives x = 30.\n4. Compute q using q = x + 12, which gives q = 42.\n5. Compute u using u = q + 6, which gives u = 48.\n6. Compute c using c = u + 18, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 630,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 13; u = q + 6; m = t + 6; i = l + 3; r = i + 7; c = u + 18; q = x + 12; a = 7; j = f + 6; x = m + 3; l = j + 16; t = a + 14; g = a + 11. Given that a = 7, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 9", "d": "n + 2", "z": "d + 17", "g": "z + 15", "k": "g + 7", "h": "k + 2", "p": "w + 16", "u": "p + 5", "e": "u + 8", "o": "e + 4", "i": "o + 10", "v": "i + 2", "w": 16}, "premises": {"w": 16}, "target": "h"}, "answer": {"steps": [["n", "w + 9", 25], ["d", "n + 2", 27], ["z", "d + 17", 44], ["g", "z + 15", 59], ["k", "g + 7", 66], ["h", "k + 2", 68]], "target_var_name": "h", "target_value": 68, "value_dict": {"w": 16, "n": 25, "d": 27, "z": 44, "g": 59, "k": 66, "h": 68}, "is_reverse": false}} | 631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = u + 8; w = 16; p = w + 16; v = i + 2; n = w + 9; h = k + 2; g = z + 15; u = p + 5; d = n + 2; i = o + 10; k = g + 7; o = e + 4; z = d + 17. Given that w = 16, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = w + 9, which gives n = 25.\n2. Compute d using d = n + 2, which gives d = 27.\n3. Compute z using z = d + 17, which gives z = 44.\n4. Compute g using g = z + 15, which gives g = 59.\n5. Compute k using k = g + 7, which gives k = 66.\n6. Compute h using h = k + 2, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 631,
"question": "Suppose a collection of variables is related by the following definitions: e = u + 8; w = 16; p = w + 16; v = i + 2; n = w + 9; h = k + 2; g = z + 15; u = p + 5; d = n + 2; i = o + 10; k = g + 7; o = e + 4; z = d + 17. Given that w = 16, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 9", "n": "c + 18", "f": "n + 9", "r": "f + 13", "v": "r + 10", "d": "v + 18", "a": "e + 16", "s": "a + 11", "p": "s + 4", "k": "p + 15", "x": "k + 19", "y": "x + 10", "e": 3}, "premises": {"e": 3}, "target": "d"}, "answer": {"steps": [["c", "e + 9", 12], ["n", "c + 18", 30], ["f", "n + 9", 39], ["r", "f + 13", 52], ["v", "r + 10", 62], ["d", "v + 18", 80]], "target_var_name": "d", "target_value": 80, "value_dict": {"e": 3, "c": 12, "n": 30, "f": 39, "r": 52, "v": 62, "d": 80}, "is_reverse": false}} | 632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 10; d = v + 18; e = 3; r = f + 13; v = r + 10; n = c + 18; f = n + 9; x = k + 19; s = a + 11; p = s + 4; a = e + 16; k = p + 15; c = e + 9. If e = 3, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = e + 9, which gives c = 12.\n2. Compute n using n = c + 18, which gives n = 30.\n3. Compute f using f = n + 9, which gives f = 39.\n4. Compute r using r = f + 13, which gives r = 52.\n5. Compute v using v = r + 10, which gives v = 62.\n6. Compute d using d = v + 18, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 632,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 10; d = v + 18; e = 3; r = f + 13; v = r + 10; n = c + 18; f = n + 9; x = k + 19; s = a + 11; p = s + 4; a = e + 16; k = p + 15; c = e + 9. If e = 3, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 9", "k": "w + 3", "v": "k + 17", "u": "v + 19", "l": "u + 1", "i": "l + 10", "z": "m + 1", "g": "z + 14", "p": "g + 16", "a": "p + 2", "j": "a + 18", "b": "j + 5", "m": 9}, "premises": {"m": 9}, "target": "i"}, "answer": {"steps": [["w", "m + 9", 18], ["k", "w + 3", 21], ["v", "k + 17", 38], ["u", "v + 19", 57], ["l", "u + 1", 58], ["i", "l + 10", 68]], "target_var_name": "i", "target_value": 68, "value_dict": {"m": 9, "w": 18, "k": 21, "v": 38, "u": 57, "l": 58, "i": 68}, "is_reverse": false}} | 633 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = w + 3; p = g + 16; z = m + 1; w = m + 9; u = v + 19; b = j + 5; j = a + 18; m = 9; g = z + 14; l = u + 1; a = p + 2; i = l + 10; v = k + 17. If m = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = m + 9, which gives w = 18.\n2. Compute k using k = w + 3, which gives k = 21.\n3. Compute v using v = k + 17, which gives v = 38.\n4. Compute u using u = v + 19, which gives u = 57.\n5. Compute l using l = u + 1, which gives l = 58.\n6. Compute i using i = l + 10, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 633,
"question": "Consider a system of variables where each variable is defined as follows: k = w + 3; p = g + 16; z = m + 1; w = m + 9; u = v + 19; b = j + 5; j = a + 18; m = 9; g = z + 14; l = u + 1; a = p + 2; i = l + 10; v = k + 17. If m = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 9", "l": "d + 17", "h": "l + 14", "z": "h + 3", "g": "z + 16", "p": "g + 4", "i": "a + 20", "u": "i + 1", "y": "u + 2", "r": "y + 15", "n": "r + 17", "k": "n + 1", "a": 1}, "premises": {"a": 1}, "target": "p"}, "answer": {"steps": [["d", "a + 9", 10], ["l", "d + 17", 27], ["h", "l + 14", 41], ["z", "h + 3", 44], ["g", "z + 16", 60], ["p", "g + 4", 64]], "target_var_name": "p", "target_value": 64, "value_dict": {"a": 1, "d": 10, "l": 27, "h": 41, "z": 44, "g": 60, "p": 64}, "is_reverse": false}} | 634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = y + 15; h = l + 14; y = u + 2; p = g + 4; a = 1; u = i + 1; z = h + 3; i = a + 20; l = d + 17; d = a + 9; n = r + 17; g = z + 16; k = n + 1. If a = 1, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = a + 9, which gives d = 10.\n2. Compute l using l = d + 17, which gives l = 27.\n3. Compute h using h = l + 14, which gives h = 41.\n4. Compute z using z = h + 3, which gives z = 44.\n5. Compute g using g = z + 16, which gives g = 60.\n6. Compute p using p = g + 4, which gives p = 64.\n\nThus, the final answer is p = \\boxed{64}.",
"index": 634,
"question": "Consider a system of variables where each variable is defined as follows: r = y + 15; h = l + 14; y = u + 2; p = g + 4; a = 1; u = i + 1; z = h + 3; i = a + 20; l = d + 17; d = a + 9; n = r + 17; g = z + 16; k = n + 1. If a = 1, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 17", "q": "l + 19", "e": "q + 16", "x": "e + 7", "j": "x + 6", "o": "j + 13", "f": "u + 17", "r": "f + 2", "z": "r + 10", "n": "z + 6", "d": "n + 8", "h": "d + 16", "u": 9}, "premises": {"u": 9}, "target": "o"}, "answer": {"steps": [["l", "u + 17", 26], ["q", "l + 19", 45], ["e", "q + 16", 61], ["x", "e + 7", 68], ["j", "x + 6", 74], ["o", "j + 13", 87]], "target_var_name": "o", "target_value": 87, "value_dict": {"u": 9, "l": 26, "q": 45, "e": 61, "x": 68, "j": 74, "o": 87}, "is_reverse": false}} | 635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 19; o = j + 13; r = f + 2; h = d + 16; n = z + 6; l = u + 17; d = n + 8; u = 9; z = r + 10; e = q + 16; f = u + 17; x = e + 7; j = x + 6. Given that u = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = u + 17, which gives l = 26.\n2. Compute q using q = l + 19, which gives q = 45.\n3. Compute e using e = q + 16, which gives e = 61.\n4. Compute x using x = e + 7, which gives x = 68.\n5. Compute j using j = x + 6, which gives j = 74.\n6. Compute o using o = j + 13, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 635,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 19; o = j + 13; r = f + 2; h = d + 16; n = z + 6; l = u + 17; d = n + 8; u = 9; z = r + 10; e = q + 16; f = u + 17; x = e + 7; j = x + 6. Given that u = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 7", "c": "i + 13", "h": "c + 7", "n": "h + 5", "v": "n + 4", "x": "v + 18", "k": "l + 14", "o": "k + 18", "f": "o + 17", "p": "f + 12", "a": "p + 19", "q": "a + 14", "l": 10}, "premises": {"l": 10}, "target": "x"}, "answer": {"steps": [["i", "l + 7", 17], ["c", "i + 13", 30], ["h", "c + 7", 37], ["n", "h + 5", 42], ["v", "n + 4", 46], ["x", "v + 18", 64]], "target_var_name": "x", "target_value": 64, "value_dict": {"l": 10, "i": 17, "c": 30, "h": 37, "n": 42, "v": 46, "x": 64}, "is_reverse": false}} | 636 | 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 = i + 13; f = o + 17; i = l + 7; v = n + 4; n = h + 5; h = c + 7; x = v + 18; k = l + 14; a = p + 19; q = a + 14; p = f + 12; o = k + 18; l = 10. If l = 10, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = l + 7, which gives i = 17.\n2. Compute c using c = i + 13, which gives c = 30.\n3. Compute h using h = c + 7, which gives h = 37.\n4. Compute n using n = h + 5, which gives n = 42.\n5. Compute v using v = n + 4, which gives v = 46.\n6. Compute x using x = v + 18, which gives x = 64.\n\nThus, the final answer is x = \\boxed{64}.",
"index": 636,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 13; f = o + 17; i = l + 7; v = n + 4; n = h + 5; h = c + 7; x = v + 18; k = l + 14; a = p + 19; q = a + 14; p = f + 12; o = k + 18; l = 10. If l = 10, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 5", "g": "q + 20", "e": "g + 17", "j": "e + 1", "i": "j + 12", "p": "i + 14", "d": "u + 14", "n": "d + 7", "f": "n + 2", "o": "f + 19", "a": "o + 8", "v": "a + 2", "u": 6}, "premises": {"u": 6}, "target": "p"}, "answer": {"steps": [["q", "u + 5", 11], ["g", "q + 20", 31], ["e", "g + 17", 48], ["j", "e + 1", 49], ["i", "j + 12", 61], ["p", "i + 14", 75]], "target_var_name": "p", "target_value": 75, "value_dict": {"u": 6, "q": 11, "g": 31, "e": 48, "j": 49, "i": 61, "p": 75}, "is_reverse": false}} | 637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 6; j = e + 1; p = i + 14; o = f + 19; v = a + 2; a = o + 8; d = u + 14; g = q + 20; n = d + 7; f = n + 2; i = j + 12; q = u + 5; e = g + 17. If u = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = u + 5, which gives q = 11.\n2. Compute g using g = q + 20, which gives g = 31.\n3. Compute e using e = g + 17, which gives e = 48.\n4. Compute j using j = e + 1, which gives j = 49.\n5. Compute i using i = j + 12, which gives i = 61.\n6. Compute p using p = i + 14, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 637,
"question": "Consider a system of variables where each variable is defined as follows: u = 6; j = e + 1; p = i + 14; o = f + 19; v = a + 2; a = o + 8; d = u + 14; g = q + 20; n = d + 7; f = n + 2; i = j + 12; q = u + 5; e = g + 17. If u = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 5", "q": "m + 20", "c": "q + 2", "r": "c + 16", "v": "r + 4", "t": "v + 19", "f": "z + 7", "a": "f + 20", "h": "a + 12", "d": "h + 15", "g": "d + 2", "p": "g + 4", "z": 15}, "premises": {"z": 15}, "target": "t"}, "answer": {"steps": [["m", "z + 5", 20], ["q", "m + 20", 40], ["c", "q + 2", 42], ["r", "c + 16", 58], ["v", "r + 4", 62], ["t", "v + 19", 81]], "target_var_name": "t", "target_value": 81, "value_dict": {"z": 15, "m": 20, "q": 40, "c": 42, "r": 58, "v": 62, "t": 81}, "is_reverse": false}} | 638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 2; h = a + 12; t = v + 19; f = z + 7; c = q + 2; d = h + 15; r = c + 16; a = f + 20; z = 15; m = z + 5; v = r + 4; p = g + 4; q = m + 20. Given that z = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = z + 5, which gives m = 20.\n2. Compute q using q = m + 20, which gives q = 40.\n3. Compute c using c = q + 2, which gives c = 42.\n4. Compute r using r = c + 16, which gives r = 58.\n5. Compute v using v = r + 4, which gives v = 62.\n6. Compute t using t = v + 19, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 638,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 2; h = a + 12; t = v + 19; f = z + 7; c = q + 2; d = h + 15; r = c + 16; a = f + 20; z = 15; m = z + 5; v = r + 4; p = g + 4; q = m + 20. Given that z = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "y + 6", "h": "r + 1", "z": "h + 2", "d": "z + 4", "j": "d + 19", "u": "j + 19", "e": "y + 13", "n": "e + 15", "x": "n + 14", "f": "x + 18", "o": "f + 19", "a": "o + 16", "y": 3}, "premises": {"y": 3}, "target": "u"}, "answer": {"steps": [["r", "y + 6", 9], ["h", "r + 1", 10], ["z", "h + 2", 12], ["d", "z + 4", 16], ["j", "d + 19", 35], ["u", "j + 19", 54]], "target_var_name": "u", "target_value": 54, "value_dict": {"y": 3, "r": 9, "h": 10, "z": 12, "d": 16, "j": 35, "u": 54}, "is_reverse": false}} | 639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 19; r = y + 6; j = d + 19; h = r + 1; o = f + 19; z = h + 2; x = n + 14; d = z + 4; n = e + 15; a = o + 16; e = y + 13; y = 3; f = x + 18. Given that y = 3, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = y + 6, which gives r = 9.\n2. Compute h using h = r + 1, which gives h = 10.\n3. Compute z using z = h + 2, which gives z = 12.\n4. Compute d using d = z + 4, which gives d = 16.\n5. Compute j using j = d + 19, which gives j = 35.\n6. Compute u using u = j + 19, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 639,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 19; r = y + 6; j = d + 19; h = r + 1; o = f + 19; z = h + 2; x = n + 14; d = z + 4; n = e + 15; a = o + 16; e = y + 13; y = 3; f = x + 18. Given that y = 3, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 17", "c": "g + 1", "h": "c + 20", "u": "h + 14", "r": "u + 13", "o": "r + 10", "x": "q + 9", "b": "x + 8", "d": "b + 8", "z": "d + 12", "l": "z + 17", "j": "l + 19", "q": 8}, "premises": {"q": 8}, "target": "o"}, "answer": {"steps": [["g", "q + 17", 25], ["c", "g + 1", 26], ["h", "c + 20", 46], ["u", "h + 14", 60], ["r", "u + 13", 73], ["o", "r + 10", 83]], "target_var_name": "o", "target_value": 83, "value_dict": {"q": 8, "g": 25, "c": 26, "h": 46, "u": 60, "r": 73, "o": 83}, "is_reverse": false}} | 640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 20; g = q + 17; c = g + 1; o = r + 10; z = d + 12; r = u + 13; j = l + 19; l = z + 17; x = q + 9; u = h + 14; b = x + 8; q = 8; d = b + 8. If q = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = q + 17, which gives g = 25.\n2. Compute c using c = g + 1, which gives c = 26.\n3. Compute h using h = c + 20, which gives h = 46.\n4. Compute u using u = h + 14, which gives u = 60.\n5. Compute r using r = u + 13, which gives r = 73.\n6. Compute o using o = r + 10, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 640,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 20; g = q + 17; c = g + 1; o = r + 10; z = d + 12; r = u + 13; j = l + 19; l = z + 17; x = q + 9; u = h + 14; b = x + 8; q = 8; d = b + 8. If q = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 16", "i": "n + 18", "d": "i + 8", "m": "d + 3", "z": "m + 12", "u": "z + 10", "l": "w + 2", "h": "l + 20", "y": "h + 16", "r": "y + 12", "p": "r + 5", "f": "p + 4", "w": 15}, "premises": {"w": 15}, "target": "u"}, "answer": {"steps": [["n", "w + 16", 31], ["i", "n + 18", 49], ["d", "i + 8", 57], ["m", "d + 3", 60], ["z", "m + 12", 72], ["u", "z + 10", 82]], "target_var_name": "u", "target_value": 82, "value_dict": {"w": 15, "n": 31, "i": 49, "d": 57, "m": 60, "z": 72, "u": 82}, "is_reverse": false}} | 641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 16; h = l + 20; z = m + 12; d = i + 8; n = w + 16; m = d + 3; u = z + 10; i = n + 18; p = r + 5; w = 15; r = y + 12; l = w + 2; f = p + 4. If w = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = w + 16, which gives n = 31.\n2. Compute i using i = n + 18, which gives i = 49.\n3. Compute d using d = i + 8, which gives d = 57.\n4. Compute m using m = d + 3, which gives m = 60.\n5. Compute z using z = m + 12, which gives z = 72.\n6. Compute u using u = z + 10, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 641,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 16; h = l + 20; z = m + 12; d = i + 8; n = w + 16; m = d + 3; u = z + 10; i = n + 18; p = r + 5; w = 15; r = y + 12; l = w + 2; f = p + 4. If w = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 18", "x": "h + 15", "j": "x + 9", "s": "j + 4", "b": "s + 19", "o": "b + 4", "f": "g + 17", "p": "f + 18", "a": "p + 12", "u": "a + 8", "w": "u + 14", "v": "w + 14", "g": 10}, "premises": {"g": 10}, "target": "o"}, "answer": {"steps": [["h", "g + 18", 28], ["x", "h + 15", 43], ["j", "x + 9", 52], ["s", "j + 4", 56], ["b", "s + 19", 75], ["o", "b + 4", 79]], "target_var_name": "o", "target_value": 79, "value_dict": {"g": 10, "h": 28, "x": 43, "j": 52, "s": 56, "b": 75, "o": 79}, "is_reverse": false}} | 642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 12; u = a + 8; j = x + 9; x = h + 15; p = f + 18; s = j + 4; o = b + 4; w = u + 14; f = g + 17; b = s + 19; v = w + 14; h = g + 18; g = 10. If g = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = g + 18, which gives h = 28.\n2. Compute x using x = h + 15, which gives x = 43.\n3. Compute j using j = x + 9, which gives j = 52.\n4. Compute s using s = j + 4, which gives s = 56.\n5. Compute b using b = s + 19, which gives b = 75.\n6. Compute o using o = b + 4, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 642,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 12; u = a + 8; j = x + 9; x = h + 15; p = f + 18; s = j + 4; o = b + 4; w = u + 14; f = g + 17; b = s + 19; v = w + 14; h = g + 18; g = 10. If g = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 6", "j": "r + 9", "m": "j + 14", "z": "m + 5", "y": "z + 16", "s": "y + 10", "k": "v + 14", "c": "k + 4", "u": "c + 3", "i": "u + 2", "f": "i + 9", "d": "f + 16", "v": 16}, "premises": {"v": 16}, "target": "s"}, "answer": {"steps": [["r", "v + 6", 22], ["j", "r + 9", 31], ["m", "j + 14", 45], ["z", "m + 5", 50], ["y", "z + 16", 66], ["s", "y + 10", 76]], "target_var_name": "s", "target_value": 76, "value_dict": {"v": 16, "r": 22, "j": 31, "m": 45, "z": 50, "y": 66, "s": 76}, "is_reverse": false}} | 643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 9; r = v + 6; d = f + 16; j = r + 9; s = y + 10; z = m + 5; k = v + 14; u = c + 3; i = u + 2; m = j + 14; y = z + 16; v = 16; c = k + 4. If v = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = v + 6, which gives r = 22.\n2. Compute j using j = r + 9, which gives j = 31.\n3. Compute m using m = j + 14, which gives m = 45.\n4. Compute z using z = m + 5, which gives z = 50.\n5. Compute y using y = z + 16, which gives y = 66.\n6. Compute s using s = y + 10, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 643,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 9; r = v + 6; d = f + 16; j = r + 9; s = y + 10; z = m + 5; k = v + 14; u = c + 3; i = u + 2; m = j + 14; y = z + 16; v = 16; c = k + 4. If v = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 12", "g": "n + 16", "m": "g + 12", "t": "m + 8", "a": "t + 14", "r": "a + 16", "d": "i + 9", "j": "d + 11", "h": "j + 5", "b": "h + 13", "l": "b + 10", "v": "l + 2", "i": 14}, "premises": {"i": 14}, "target": "r"}, "answer": {"steps": [["n", "i + 12", 26], ["g", "n + 16", 42], ["m", "g + 12", 54], ["t", "m + 8", 62], ["a", "t + 14", 76], ["r", "a + 16", 92]], "target_var_name": "r", "target_value": 92, "value_dict": {"i": 14, "n": 26, "g": 42, "m": 54, "t": 62, "a": 76, "r": 92}, "is_reverse": false}} | 644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 2; g = n + 16; n = i + 12; h = j + 5; l = b + 10; d = i + 9; r = a + 16; b = h + 13; a = t + 14; m = g + 12; i = 14; t = m + 8; j = d + 11. If i = 14, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = i + 12, which gives n = 26.\n2. Compute g using g = n + 16, which gives g = 42.\n3. Compute m using m = g + 12, which gives m = 54.\n4. Compute t using t = m + 8, which gives t = 62.\n5. Compute a using a = t + 14, which gives a = 76.\n6. Compute r using r = a + 16, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 644,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 2; g = n + 16; n = i + 12; h = j + 5; l = b + 10; d = i + 9; r = a + 16; b = h + 13; a = t + 14; m = g + 12; i = 14; t = m + 8; j = d + 11. If i = 14, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 10", "j": "g + 4", "z": "j + 10", "s": "z + 7", "u": "s + 8", "o": "u + 14", "v": "l + 20", "t": "v + 8", "b": "t + 7", "a": "b + 14", "d": "a + 1", "i": "d + 5", "l": 4}, "premises": {"l": 4}, "target": "o"}, "answer": {"steps": [["g", "l + 10", 14], ["j", "g + 4", 18], ["z", "j + 10", 28], ["s", "z + 7", 35], ["u", "s + 8", 43], ["o", "u + 14", 57]], "target_var_name": "o", "target_value": 57, "value_dict": {"l": 4, "g": 14, "j": 18, "z": 28, "s": 35, "u": 43, "o": 57}, "is_reverse": false}} | 645 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 14; v = l + 20; i = d + 5; d = a + 1; l = 4; t = v + 8; z = j + 10; b = t + 7; j = g + 4; u = s + 8; s = z + 7; a = b + 14; g = l + 10. If l = 4, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = l + 10, which gives g = 14.\n2. Compute j using j = g + 4, which gives j = 18.\n3. Compute z using z = j + 10, which gives z = 28.\n4. Compute s using s = z + 7, which gives s = 35.\n5. Compute u using u = s + 8, which gives u = 43.\n6. Compute o using o = u + 14, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 645,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 14; v = l + 20; i = d + 5; d = a + 1; l = 4; t = v + 8; z = j + 10; b = t + 7; j = g + 4; u = s + 8; s = z + 7; a = b + 14; g = l + 10. If l = 4, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 13", "v": "i + 14", "u": "v + 6", "a": "u + 14", "b": "a + 10", "f": "b + 8", "p": "x + 12", "e": "p + 7", "g": "e + 2", "t": "g + 17", "c": "t + 17", "n": "c + 8", "x": 17}, "premises": {"x": 17}, "target": "f"}, "answer": {"steps": [["i", "x + 13", 30], ["v", "i + 14", 44], ["u", "v + 6", 50], ["a", "u + 14", 64], ["b", "a + 10", 74], ["f", "b + 8", 82]], "target_var_name": "f", "target_value": 82, "value_dict": {"x": 17, "i": 30, "v": 44, "u": 50, "a": 64, "b": 74, "f": 82}, "is_reverse": false}} | 646 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = x + 13; e = p + 7; v = i + 14; a = u + 14; n = c + 8; g = e + 2; u = v + 6; f = b + 8; t = g + 17; b = a + 10; x = 17; c = t + 17; p = x + 12. Given that x = 17, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = x + 13, which gives i = 30.\n2. Compute v using v = i + 14, which gives v = 44.\n3. Compute u using u = v + 6, which gives u = 50.\n4. Compute a using a = u + 14, which gives a = 64.\n5. Compute b using b = a + 10, which gives b = 74.\n6. Compute f using f = b + 8, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 646,
"question": "Suppose a collection of variables is related by the following definitions: i = x + 13; e = p + 7; v = i + 14; a = u + 14; n = c + 8; g = e + 2; u = v + 6; f = b + 8; t = g + 17; b = a + 10; x = 17; c = t + 17; p = x + 12. Given that x = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 10", "t": "i + 8", "h": "t + 5", "c": "h + 14", "s": "c + 11", "e": "s + 15", "b": "z + 1", "n": "b + 17", "k": "n + 5", "v": "k + 10", "d": "v + 14", "l": "d + 7", "z": 19}, "premises": {"z": 19}, "target": "e"}, "answer": {"steps": [["i", "z + 10", 29], ["t", "i + 8", 37], ["h", "t + 5", 42], ["c", "h + 14", 56], ["s", "c + 11", 67], ["e", "s + 15", 82]], "target_var_name": "e", "target_value": 82, "value_dict": {"z": 19, "i": 29, "t": 37, "h": 42, "c": 56, "s": 67, "e": 82}, "is_reverse": false}} | 647 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 7; t = i + 8; n = b + 17; z = 19; h = t + 5; i = z + 10; s = c + 11; b = z + 1; v = k + 10; e = s + 15; c = h + 14; k = n + 5; d = v + 14. If z = 19, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = z + 10, which gives i = 29.\n2. Compute t using t = i + 8, which gives t = 37.\n3. Compute h using h = t + 5, which gives h = 42.\n4. Compute c using c = h + 14, which gives c = 56.\n5. Compute s using s = c + 11, which gives s = 67.\n6. Compute e using e = s + 15, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 7; t = i + 8; n = b + 17; z = 19; h = t + 5; i = z + 10; s = c + 11; b = z + 1; v = k + 10; e = s + 15; c = h + 14; k = n + 5; d = v + 14. If z = 19, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 8", "e": "t + 15", "j": "e + 1", "i": "j + 13", "d": "i + 16", "m": "d + 13", "a": "v + 6", "p": "a + 6", "g": "p + 14", "y": "g + 1", "u": "y + 19", "w": "u + 16", "v": 4}, "premises": {"v": 4}, "target": "m"}, "answer": {"steps": [["t", "v + 8", 12], ["e", "t + 15", 27], ["j", "e + 1", 28], ["i", "j + 13", 41], ["d", "i + 16", 57], ["m", "d + 13", 70]], "target_var_name": "m", "target_value": 70, "value_dict": {"v": 4, "t": 12, "e": 27, "j": 28, "i": 41, "d": 57, "m": 70}, "is_reverse": false}} | 648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 16; t = v + 8; i = j + 13; u = y + 19; m = d + 13; d = i + 16; e = t + 15; y = g + 1; a = v + 6; g = p + 14; v = 4; j = e + 1; p = a + 6. Given that v = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = v + 8, which gives t = 12.\n2. Compute e using e = t + 15, which gives e = 27.\n3. Compute j using j = e + 1, which gives j = 28.\n4. Compute i using i = j + 13, which gives i = 41.\n5. Compute d using d = i + 16, which gives d = 57.\n6. Compute m using m = d + 13, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 648,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 16; t = v + 8; i = j + 13; u = y + 19; m = d + 13; d = i + 16; e = t + 15; y = g + 1; a = v + 6; g = p + 14; v = 4; j = e + 1; p = a + 6. Given that v = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "x + 4", "r": "h + 20", "g": "r + 1", "d": "g + 11", "t": "d + 8", "c": "t + 3", "u": "x + 9", "p": "u + 5", "m": "p + 17", "b": "m + 9", "v": "b + 14", "f": "v + 5", "x": 4}, "premises": {"x": 4}, "target": "c"}, "answer": {"steps": [["h", "x + 4", 8], ["r", "h + 20", 28], ["g", "r + 1", 29], ["d", "g + 11", 40], ["t", "d + 8", 48], ["c", "t + 3", 51]], "target_var_name": "c", "target_value": 51, "value_dict": {"x": 4, "h": 8, "r": 28, "g": 29, "d": 40, "t": 48, "c": 51}, "is_reverse": false}} | 649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 11; u = x + 9; c = t + 3; f = v + 5; b = m + 9; r = h + 20; h = x + 4; t = d + 8; p = u + 5; v = b + 14; m = p + 17; x = 4; g = r + 1. If x = 4, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = x + 4, which gives h = 8.\n2. Compute r using r = h + 20, which gives r = 28.\n3. Compute g using g = r + 1, which gives g = 29.\n4. Compute d using d = g + 11, which gives d = 40.\n5. Compute t using t = d + 8, which gives t = 48.\n6. Compute c using c = t + 3, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 649,
"question": "Consider a system of variables where each variable is defined as follows: d = g + 11; u = x + 9; c = t + 3; f = v + 5; b = m + 9; r = h + 20; h = x + 4; t = d + 8; p = u + 5; v = b + 14; m = p + 17; x = 4; g = r + 1. If x = 4, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 5", "l": "u + 11", "z": "l + 17", "h": "z + 18", "k": "h + 10", "c": "k + 8", "r": "y + 3", "w": "r + 6", "x": "w + 17", "a": "x + 15", "g": "a + 17", "s": "g + 8", "y": 4}, "premises": {"y": 4}, "target": "c"}, "answer": {"steps": [["u", "y + 5", 9], ["l", "u + 11", 20], ["z", "l + 17", 37], ["h", "z + 18", 55], ["k", "h + 10", 65], ["c", "k + 8", 73]], "target_var_name": "c", "target_value": 73, "value_dict": {"y": 4, "u": 9, "l": 20, "z": 37, "h": 55, "k": 65, "c": 73}, "is_reverse": false}} | 650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 11; c = k + 8; s = g + 8; w = r + 6; r = y + 3; g = a + 17; z = l + 17; k = h + 10; x = w + 17; u = y + 5; h = z + 18; y = 4; a = x + 15. If y = 4, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = y + 5, which gives u = 9.\n2. Compute l using l = u + 11, which gives l = 20.\n3. Compute z using z = l + 17, which gives z = 37.\n4. Compute h using h = z + 18, which gives h = 55.\n5. Compute k using k = h + 10, which gives k = 65.\n6. Compute c using c = k + 8, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 650,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 11; c = k + 8; s = g + 8; w = r + 6; r = y + 3; g = a + 17; z = l + 17; k = h + 10; x = w + 17; u = y + 5; h = z + 18; y = 4; a = x + 15. If y = 4, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 8", "z": "w + 8", "r": "z + 13", "e": "r + 8", "k": "e + 3", "c": "k + 13", "q": "b + 3", "a": "q + 5", "o": "a + 8", "i": "o + 1", "x": "i + 11", "h": "x + 1", "b": 5}, "premises": {"b": 5}, "target": "c"}, "answer": {"steps": [["w", "b + 8", 13], ["z", "w + 8", 21], ["r", "z + 13", 34], ["e", "r + 8", 42], ["k", "e + 3", 45], ["c", "k + 13", 58]], "target_var_name": "c", "target_value": 58, "value_dict": {"b": 5, "w": 13, "z": 21, "r": 34, "e": 42, "k": 45, "c": 58}, "is_reverse": false}} | 651 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 3; z = w + 8; a = q + 5; w = b + 8; e = r + 8; i = o + 1; x = i + 11; k = e + 3; c = k + 13; b = 5; h = x + 1; o = a + 8; r = z + 13. Given that b = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = b + 8, which gives w = 13.\n2. Compute z using z = w + 8, which gives z = 21.\n3. Compute r using r = z + 13, which gives r = 34.\n4. Compute e using e = r + 8, which gives e = 42.\n5. Compute k using k = e + 3, which gives k = 45.\n6. Compute c using c = k + 13, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 651,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 3; z = w + 8; a = q + 5; w = b + 8; e = r + 8; i = o + 1; x = i + 11; k = e + 3; c = k + 13; b = 5; h = x + 1; o = a + 8; r = z + 13. Given that b = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"t": "j + 4", "n": "t + 13", "f": "n + 8", "a": "f + 17", "d": "a + 2", "h": "d + 17", "s": "j + 14", "e": "s + 2", "l": "e + 10", "c": "l + 20", "w": "c + 7", "r": "w + 16", "j": 1}, "premises": {"j": 1}, "target": "h"}, "answer": {"steps": [["t", "j + 4", 5], ["n", "t + 13", 18], ["f", "n + 8", 26], ["a", "f + 17", 43], ["d", "a + 2", 45], ["h", "d + 17", 62]], "target_var_name": "h", "target_value": 62, "value_dict": {"j": 1, "t": 5, "n": 18, "f": 26, "a": 43, "d": 45, "h": 62}, "is_reverse": false}} | 652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 10; t = j + 4; c = l + 20; s = j + 14; w = c + 7; n = t + 13; e = s + 2; d = a + 2; r = w + 16; a = f + 17; f = n + 8; h = d + 17; j = 1. Given that j = 1, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = j + 4, which gives t = 5.\n2. Compute n using n = t + 13, which gives n = 18.\n3. Compute f using f = n + 8, which gives f = 26.\n4. Compute a using a = f + 17, which gives a = 43.\n5. Compute d using d = a + 2, which gives d = 45.\n6. Compute h using h = d + 17, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 652,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 10; t = j + 4; c = l + 20; s = j + 14; w = c + 7; n = t + 13; e = s + 2; d = a + 2; r = w + 16; a = f + 17; f = n + 8; h = d + 17; j = 1. Given that j = 1, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "u + 14", "w": "j + 10", "o": "w + 7", "c": "o + 1", "z": "c + 17", "h": "z + 19", "f": "u + 16", "m": "f + 3", "b": "m + 20", "g": "b + 3", "e": "g + 14", "k": "e + 4", "u": 7}, "premises": {"u": 7}, "target": "h"}, "answer": {"steps": [["j", "u + 14", 21], ["w", "j + 10", 31], ["o", "w + 7", 38], ["c", "o + 1", 39], ["z", "c + 17", 56], ["h", "z + 19", 75]], "target_var_name": "h", "target_value": 75, "value_dict": {"u": 7, "j": 21, "w": 31, "o": 38, "c": 39, "z": 56, "h": 75}, "is_reverse": false}} | 653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 16; e = g + 14; j = u + 14; m = f + 3; w = j + 10; c = o + 1; b = m + 20; z = c + 17; u = 7; g = b + 3; o = w + 7; k = e + 4; h = z + 19. If u = 7, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = u + 14, which gives j = 21.\n2. Compute w using w = j + 10, which gives w = 31.\n3. Compute o using o = w + 7, which gives o = 38.\n4. Compute c using c = o + 1, which gives c = 39.\n5. Compute z using z = c + 17, which gives z = 56.\n6. Compute h using h = z + 19, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 653,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 16; e = g + 14; j = u + 14; m = f + 3; w = j + 10; c = o + 1; b = m + 20; z = c + 17; u = 7; g = b + 3; o = w + 7; k = e + 4; h = z + 19. If u = 7, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 19", "o": "x + 20", "v": "o + 5", "f": "v + 14", "c": "f + 15", "y": "c + 4", "e": "w + 14", "j": "e + 13", "h": "j + 14", "i": "h + 5", "q": "i + 12", "n": "q + 19", "w": 8}, "premises": {"w": 8}, "target": "y"}, "answer": {"steps": [["x", "w + 19", 27], ["o", "x + 20", 47], ["v", "o + 5", 52], ["f", "v + 14", 66], ["c", "f + 15", 81], ["y", "c + 4", 85]], "target_var_name": "y", "target_value": 85, "value_dict": {"w": 8, "x": 27, "o": 47, "v": 52, "f": 66, "c": 81, "y": 85}, "is_reverse": false}} | 654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 14; e = w + 14; n = q + 19; c = f + 15; q = i + 12; o = x + 20; y = c + 4; x = w + 19; j = e + 13; v = o + 5; i = h + 5; h = j + 14; w = 8. If w = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = w + 19, which gives x = 27.\n2. Compute o using o = x + 20, which gives o = 47.\n3. Compute v using v = o + 5, which gives v = 52.\n4. Compute f using f = v + 14, which gives f = 66.\n5. Compute c using c = f + 15, which gives c = 81.\n6. Compute y using y = c + 4, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 654,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 14; e = w + 14; n = q + 19; c = f + 15; q = i + 12; o = x + 20; y = c + 4; x = w + 19; j = e + 13; v = o + 5; i = h + 5; h = j + 14; w = 8. If w = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 19", "j": "c + 20", "l": "j + 5", "h": "l + 18", "r": "h + 17", "n": "r + 7", "t": "v + 9", "s": "t + 15", "k": "s + 16", "g": "k + 18", "y": "g + 9", "p": "y + 6", "v": 12}, "premises": {"v": 12}, "target": "n"}, "answer": {"steps": [["c", "v + 19", 31], ["j", "c + 20", 51], ["l", "j + 5", 56], ["h", "l + 18", 74], ["r", "h + 17", 91], ["n", "r + 7", 98]], "target_var_name": "n", "target_value": 98, "value_dict": {"v": 12, "c": 31, "j": 51, "l": 56, "h": 74, "r": 91, "n": 98}, "is_reverse": false}} | 655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = t + 15; p = y + 6; j = c + 20; y = g + 9; k = s + 16; n = r + 7; h = l + 18; t = v + 9; r = h + 17; c = v + 19; l = j + 5; v = 12; g = k + 18. Given that v = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = v + 19, which gives c = 31.\n2. Compute j using j = c + 20, which gives j = 51.\n3. Compute l using l = j + 5, which gives l = 56.\n4. Compute h using h = l + 18, which gives h = 74.\n5. Compute r using r = h + 17, which gives r = 91.\n6. Compute n using n = r + 7, which gives n = 98.\n\nThus, the final answer is n = \\boxed{98}.",
"index": 655,
"question": "Suppose a collection of variables is related by the following definitions: s = t + 15; p = y + 6; j = c + 20; y = g + 9; k = s + 16; n = r + 7; h = l + 18; t = v + 9; r = h + 17; c = v + 19; l = j + 5; v = 12; g = k + 18. Given that v = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 1", "r": "v + 2", "n": "r + 6", "x": "n + 5", "g": "x + 17", "o": "g + 20", "z": "a + 10", "e": "z + 19", "t": "e + 13", "k": "t + 3", "j": "k + 5", "b": "j + 17", "a": 18}, "premises": {"a": 18}, "target": "o"}, "answer": {"steps": [["v", "a + 1", 19], ["r", "v + 2", 21], ["n", "r + 6", 27], ["x", "n + 5", 32], ["g", "x + 17", 49], ["o", "g + 20", 69]], "target_var_name": "o", "target_value": 69, "value_dict": {"a": 18, "v": 19, "r": 21, "n": 27, "x": 32, "g": 49, "o": 69}, "is_reverse": false}} | 656 | 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 + 17; n = r + 6; g = x + 17; x = n + 5; t = e + 13; r = v + 2; a = 18; o = g + 20; z = a + 10; v = a + 1; e = z + 19; k = t + 3; j = k + 5. If a = 18, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = a + 1, which gives v = 19.\n2. Compute r using r = v + 2, which gives r = 21.\n3. Compute n using n = r + 6, which gives n = 27.\n4. Compute x using x = n + 5, which gives x = 32.\n5. Compute g using g = x + 17, which gives g = 49.\n6. Compute o using o = g + 20, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 656,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 17; n = r + 6; g = x + 17; x = n + 5; t = e + 13; r = v + 2; a = 18; o = g + 20; z = a + 10; v = a + 1; e = z + 19; k = t + 3; j = k + 5. If a = 18, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 2", "o": "t + 2", "r": "o + 18", "v": "r + 16", "n": "v + 17", "c": "n + 15", "e": "z + 4", "m": "e + 2", "p": "m + 16", "i": "p + 12", "q": "i + 4", "h": "q + 13", "z": 12}, "premises": {"z": 12}, "target": "c"}, "answer": {"steps": [["t", "z + 2", 14], ["o", "t + 2", 16], ["r", "o + 18", 34], ["v", "r + 16", 50], ["n", "v + 17", 67], ["c", "n + 15", 82]], "target_var_name": "c", "target_value": 82, "value_dict": {"z": 12, "t": 14, "o": 16, "r": 34, "v": 50, "n": 67, "c": 82}, "is_reverse": false}} | 657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = p + 12; q = i + 4; c = n + 15; o = t + 2; v = r + 16; r = o + 18; m = e + 2; z = 12; e = z + 4; t = z + 2; n = v + 17; h = q + 13; p = m + 16. Given that z = 12, 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 t using t = z + 2, which gives t = 14.\n2. Compute o using o = t + 2, which gives o = 16.\n3. Compute r using r = o + 18, which gives r = 34.\n4. Compute v using v = r + 16, which gives v = 50.\n5. Compute n using n = v + 17, which gives n = 67.\n6. Compute c using c = n + 15, which gives c = 82.\n\nThus, the final answer is c = \\boxed{82}.",
"index": 657,
"question": "Suppose a collection of variables is related by the following definitions: i = p + 12; q = i + 4; c = n + 15; o = t + 2; v = r + 16; r = o + 18; m = e + 2; z = 12; e = z + 4; t = z + 2; n = v + 17; h = q + 13; p = m + 16. Given that z = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 8", "w": "i + 12", "s": "w + 19", "t": "s + 10", "r": "t + 5", "m": "r + 5", "l": "x + 9", "g": "l + 18", "h": "g + 11", "y": "h + 12", "o": "y + 14", "c": "o + 7", "x": 4}, "premises": {"x": 4}, "target": "m"}, "answer": {"steps": [["i", "x + 8", 12], ["w", "i + 12", 24], ["s", "w + 19", 43], ["t", "s + 10", 53], ["r", "t + 5", 58], ["m", "r + 5", 63]], "target_var_name": "m", "target_value": 63, "value_dict": {"x": 4, "i": 12, "w": 24, "s": 43, "t": 53, "r": 58, "m": 63}, "is_reverse": false}} | 658 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 11; m = r + 5; y = h + 12; i = x + 8; x = 4; s = w + 19; w = i + 12; c = o + 7; o = y + 14; g = l + 18; l = x + 9; t = s + 10; r = t + 5. If x = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = x + 8, which gives i = 12.\n2. Compute w using w = i + 12, which gives w = 24.\n3. Compute s using s = w + 19, which gives s = 43.\n4. Compute t using t = s + 10, which gives t = 53.\n5. Compute r using r = t + 5, which gives r = 58.\n6. Compute m using m = r + 5, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 658,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 11; m = r + 5; y = h + 12; i = x + 8; x = 4; s = w + 19; w = i + 12; c = o + 7; o = y + 14; g = l + 18; l = x + 9; t = s + 10; r = t + 5. If x = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 4", "y": "t + 8", "k": "y + 20", "w": "k + 16", "l": "w + 6", "o": "l + 5", "x": "u + 9", "m": "x + 15", "q": "m + 14", "s": "q + 11", "e": "s + 14", "r": "e + 18", "u": 6}, "premises": {"u": 6}, "target": "o"}, "answer": {"steps": [["t", "u + 4", 10], ["y", "t + 8", 18], ["k", "y + 20", 38], ["w", "k + 16", 54], ["l", "w + 6", 60], ["o", "l + 5", 65]], "target_var_name": "o", "target_value": 65, "value_dict": {"u": 6, "t": 10, "y": 18, "k": 38, "w": 54, "l": 60, "o": 65}, "is_reverse": false}} | 659 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 18; x = u + 9; y = t + 8; e = s + 14; m = x + 15; k = y + 20; t = u + 4; u = 6; l = w + 6; q = m + 14; o = l + 5; s = q + 11; w = k + 16. If u = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = u + 4, which gives t = 10.\n2. Compute y using y = t + 8, which gives y = 18.\n3. Compute k using k = y + 20, which gives k = 38.\n4. Compute w using w = k + 16, which gives w = 54.\n5. Compute l using l = w + 6, which gives l = 60.\n6. Compute o using o = l + 5, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 659,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 18; x = u + 9; y = t + 8; e = s + 14; m = x + 15; k = y + 20; t = u + 4; u = 6; l = w + 6; q = m + 14; o = l + 5; s = q + 11; w = k + 16. If u = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 3", "u": "x + 12", "b": "u + 10", "m": "b + 20", "z": "m + 20", "j": "z + 1", "t": "f + 8", "h": "t + 2", "g": "h + 15", "p": "g + 19", "w": "p + 19", "l": "w + 20", "f": 16}, "premises": {"f": 16}, "target": "j"}, "answer": {"steps": [["x", "f + 3", 19], ["u", "x + 12", 31], ["b", "u + 10", 41], ["m", "b + 20", 61], ["z", "m + 20", 81], ["j", "z + 1", 82]], "target_var_name": "j", "target_value": 82, "value_dict": {"f": 16, "x": 19, "u": 31, "b": 41, "m": 61, "z": 81, "j": 82}, "is_reverse": false}} | 660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 19; f = 16; t = f + 8; z = m + 20; h = t + 2; l = w + 20; x = f + 3; u = x + 12; w = p + 19; m = b + 20; j = z + 1; g = h + 15; b = u + 10. Given that f = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = f + 3, which gives x = 19.\n2. Compute u using u = x + 12, which gives u = 31.\n3. Compute b using b = u + 10, which gives b = 41.\n4. Compute m using m = b + 20, which gives m = 61.\n5. Compute z using z = m + 20, which gives z = 81.\n6. Compute j using j = z + 1, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 660,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 19; f = 16; t = f + 8; z = m + 20; h = t + 2; l = w + 20; x = f + 3; u = x + 12; w = p + 19; m = b + 20; j = z + 1; g = h + 15; b = u + 10. Given that f = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 5", "f": "n + 18", "x": "f + 19", "r": "x + 17", "h": "r + 1", "k": "h + 5", "d": "v + 19", "o": "d + 9", "j": "o + 3", "y": "j + 1", "l": "y + 11", "b": "l + 18", "v": 4}, "premises": {"v": 4}, "target": "k"}, "answer": {"steps": [["n", "v + 5", 9], ["f", "n + 18", 27], ["x", "f + 19", 46], ["r", "x + 17", 63], ["h", "r + 1", 64], ["k", "h + 5", 69]], "target_var_name": "k", "target_value": 69, "value_dict": {"v": 4, "n": 9, "f": 27, "x": 46, "r": 63, "h": 64, "k": 69}, "is_reverse": false}} | 661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 1; r = x + 17; d = v + 19; n = v + 5; j = o + 3; b = l + 18; x = f + 19; l = y + 11; f = n + 18; v = 4; h = r + 1; k = h + 5; o = d + 9. Given that v = 4, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = v + 5, which gives n = 9.\n2. Compute f using f = n + 18, which gives f = 27.\n3. Compute x using x = f + 19, which gives x = 46.\n4. Compute r using r = x + 17, which gives r = 63.\n5. Compute h using h = r + 1, which gives h = 64.\n6. Compute k using k = h + 5, which gives k = 69.\n\nThus, the final answer is k = \\boxed{69}.",
"index": 661,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 1; r = x + 17; d = v + 19; n = v + 5; j = o + 3; b = l + 18; x = f + 19; l = y + 11; f = n + 18; v = 4; h = r + 1; k = h + 5; o = d + 9. Given that v = 4, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 5", "g": "e + 18", "b": "g + 6", "j": "b + 4", "x": "j + 3", "z": "x + 13", "q": "v + 20", "p": "q + 1", "c": "p + 1", "a": "c + 17", "u": "a + 17", "s": "u + 10", "v": 7}, "premises": {"v": 7}, "target": "z"}, "answer": {"steps": [["e", "v + 5", 12], ["g", "e + 18", 30], ["b", "g + 6", 36], ["j", "b + 4", 40], ["x", "j + 3", 43], ["z", "x + 13", 56]], "target_var_name": "z", "target_value": 56, "value_dict": {"v": 7, "e": 12, "g": 30, "b": 36, "j": 40, "x": 43, "z": 56}, "is_reverse": false}} | 662 | 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 = g + 6; p = q + 1; e = v + 5; v = 7; c = p + 1; q = v + 20; g = e + 18; s = u + 10; u = a + 17; j = b + 4; a = c + 17; z = x + 13; x = j + 3. If v = 7, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = v + 5, which gives e = 12.\n2. Compute g using g = e + 18, which gives g = 30.\n3. Compute b using b = g + 6, which gives b = 36.\n4. Compute j using j = b + 4, which gives j = 40.\n5. Compute x using x = j + 3, which gives x = 43.\n6. Compute z using z = x + 13, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 662,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 6; p = q + 1; e = v + 5; v = 7; c = p + 1; q = v + 20; g = e + 18; s = u + 10; u = a + 17; j = b + 4; a = c + 17; z = x + 13; x = j + 3. If v = 7, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 10", "c": "w + 11", "q": "c + 9", "x": "q + 17", "l": "x + 8", "v": "l + 20", "d": "j + 18", "y": "d + 9", "h": "y + 14", "f": "h + 3", "b": "f + 7", "g": "b + 12", "j": 12}, "premises": {"j": 12}, "target": "v"}, "answer": {"steps": [["w", "j + 10", 22], ["c", "w + 11", 33], ["q", "c + 9", 42], ["x", "q + 17", 59], ["l", "x + 8", 67], ["v", "l + 20", 87]], "target_var_name": "v", "target_value": 87, "value_dict": {"j": 12, "w": 22, "c": 33, "q": 42, "x": 59, "l": 67, "v": 87}, "is_reverse": false}} | 663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 12; f = h + 3; l = x + 8; h = y + 14; w = j + 10; g = b + 12; y = d + 9; b = f + 7; v = l + 20; d = j + 18; c = w + 11; q = c + 9; x = q + 17. If j = 12, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = j + 10, which gives w = 22.\n2. Compute c using c = w + 11, which gives c = 33.\n3. Compute q using q = c + 9, which gives q = 42.\n4. Compute x using x = q + 17, which gives x = 59.\n5. Compute l using l = x + 8, which gives l = 67.\n6. Compute v using v = l + 20, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 663,
"question": "Consider a system of variables where each variable is defined as follows: j = 12; f = h + 3; l = x + 8; h = y + 14; w = j + 10; g = b + 12; y = d + 9; b = f + 7; v = l + 20; d = j + 18; c = w + 11; q = c + 9; x = q + 17. If j = 12, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 4", "t": "v + 17", "r": "t + 19", "j": "r + 2", "f": "j + 4", "g": "f + 3", "w": "b + 20", "p": "w + 17", "d": "p + 15", "n": "d + 5", "k": "n + 20", "y": "k + 6", "b": 12}, "premises": {"b": 12}, "target": "g"}, "answer": {"steps": [["v", "b + 4", 16], ["t", "v + 17", 33], ["r", "t + 19", 52], ["j", "r + 2", 54], ["f", "j + 4", 58], ["g", "f + 3", 61]], "target_var_name": "g", "target_value": 61, "value_dict": {"b": 12, "v": 16, "t": 33, "r": 52, "j": 54, "f": 58, "g": 61}, "is_reverse": false}} | 664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 17; g = f + 3; d = p + 15; b = 12; k = n + 20; f = j + 4; t = v + 17; j = r + 2; r = t + 19; v = b + 4; w = b + 20; n = d + 5; y = k + 6. Given that b = 12, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = b + 4, which gives v = 16.\n2. Compute t using t = v + 17, which gives t = 33.\n3. Compute r using r = t + 19, which gives r = 52.\n4. Compute j using j = r + 2, which gives j = 54.\n5. Compute f using f = j + 4, which gives f = 58.\n6. Compute g using g = f + 3, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 664,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 17; g = f + 3; d = p + 15; b = 12; k = n + 20; f = j + 4; t = v + 17; j = r + 2; r = t + 19; v = b + 4; w = b + 20; n = d + 5; y = k + 6. Given that b = 12, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 3", "c": "d + 16", "o": "c + 10", "h": "o + 13", "i": "h + 1", "u": "i + 15", "e": "l + 12", "x": "e + 5", "w": "x + 10", "q": "w + 2", "a": "q + 8", "p": "a + 10", "l": 14}, "premises": {"l": 14}, "target": "u"}, "answer": {"steps": [["d", "l + 3", 17], ["c", "d + 16", 33], ["o", "c + 10", 43], ["h", "o + 13", 56], ["i", "h + 1", 57], ["u", "i + 15", 72]], "target_var_name": "u", "target_value": 72, "value_dict": {"l": 14, "d": 17, "c": 33, "o": 43, "h": 56, "i": 57, "u": 72}, "is_reverse": false}} | 665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = q + 8; x = e + 5; i = h + 1; d = l + 3; w = x + 10; u = i + 15; e = l + 12; l = 14; o = c + 10; p = a + 10; c = d + 16; h = o + 13; q = w + 2. Given that l = 14, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = l + 3, which gives d = 17.\n2. Compute c using c = d + 16, which gives c = 33.\n3. Compute o using o = c + 10, which gives o = 43.\n4. Compute h using h = o + 13, which gives h = 56.\n5. Compute i using i = h + 1, which gives i = 57.\n6. Compute u using u = i + 15, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 665,
"question": "Suppose a collection of variables is related by the following definitions: a = q + 8; x = e + 5; i = h + 1; d = l + 3; w = x + 10; u = i + 15; e = l + 12; l = 14; o = c + 10; p = a + 10; c = d + 16; h = o + 13; q = w + 2. Given that l = 14, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 1", "x": "d + 18", "t": "x + 16", "j": "t + 12", "o": "j + 17", "w": "o + 13", "e": "g + 1", "y": "e + 19", "c": "y + 12", "q": "c + 9", "i": "q + 10", "n": "i + 10", "g": 8}, "premises": {"g": 8}, "target": "w"}, "answer": {"steps": [["d", "g + 1", 9], ["x", "d + 18", 27], ["t", "x + 16", 43], ["j", "t + 12", 55], ["o", "j + 17", 72], ["w", "o + 13", 85]], "target_var_name": "w", "target_value": 85, "value_dict": {"g": 8, "d": 9, "x": 27, "t": 43, "j": 55, "o": 72, "w": 85}, "is_reverse": false}} | 666 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 16; y = e + 19; x = d + 18; j = t + 12; n = i + 10; w = o + 13; d = g + 1; o = j + 17; g = 8; e = g + 1; q = c + 9; i = q + 10; c = y + 12. If g = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = g + 1, which gives d = 9.\n2. Compute x using x = d + 18, which gives x = 27.\n3. Compute t using t = x + 16, which gives t = 43.\n4. Compute j using j = t + 12, which gives j = 55.\n5. Compute o using o = j + 17, which gives o = 72.\n6. Compute w using w = o + 13, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 666,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 16; y = e + 19; x = d + 18; j = t + 12; n = i + 10; w = o + 13; d = g + 1; o = j + 17; g = 8; e = g + 1; q = c + 9; i = q + 10; c = y + 12. If g = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 15", "f": "r + 4", "z": "f + 2", "j": "z + 7", "l": "j + 5", "o": "l + 11", "t": "i + 6", "a": "t + 4", "h": "a + 20", "n": "h + 16", "s": "n + 8", "c": "s + 2", "i": 3}, "premises": {"i": 3}, "target": "o"}, "answer": {"steps": [["r", "i + 15", 18], ["f", "r + 4", 22], ["z", "f + 2", 24], ["j", "z + 7", 31], ["l", "j + 5", 36], ["o", "l + 11", 47]], "target_var_name": "o", "target_value": 47, "value_dict": {"i": 3, "r": 18, "f": 22, "z": 24, "j": 31, "l": 36, "o": 47}, "is_reverse": false}} | 667 | 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 = l + 11; s = n + 8; h = a + 20; c = s + 2; t = i + 6; f = r + 4; a = t + 4; j = z + 7; n = h + 16; l = j + 5; r = i + 15; i = 3; z = f + 2. If i = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = i + 15, which gives r = 18.\n2. Compute f using f = r + 4, which gives f = 22.\n3. Compute z using z = f + 2, which gives z = 24.\n4. Compute j using j = z + 7, which gives j = 31.\n5. Compute l using l = j + 5, which gives l = 36.\n6. Compute o using o = l + 11, which gives o = 47.\n\nThus, the final answer is o = \\boxed{47}.",
"index": 667,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 11; s = n + 8; h = a + 20; c = s + 2; t = i + 6; f = r + 4; a = t + 4; j = z + 7; n = h + 16; l = j + 5; r = i + 15; i = 3; z = f + 2. If i = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 14", "y": "h + 8", "c": "y + 2", "g": "c + 7", "l": "g + 14", "d": "l + 8", "m": "v + 17", "w": "m + 3", "r": "w + 8", "n": "r + 3", "x": "n + 3", "a": "x + 6", "v": 7}, "premises": {"v": 7}, "target": "d"}, "answer": {"steps": [["h", "v + 14", 21], ["y", "h + 8", 29], ["c", "y + 2", 31], ["g", "c + 7", 38], ["l", "g + 14", 52], ["d", "l + 8", 60]], "target_var_name": "d", "target_value": 60, "value_dict": {"v": 7, "h": 21, "y": 29, "c": 31, "g": 38, "l": 52, "d": 60}, "is_reverse": false}} | 668 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = x + 6; d = l + 8; v = 7; r = w + 8; g = c + 7; w = m + 3; c = y + 2; m = v + 17; l = g + 14; x = n + 3; h = v + 14; y = h + 8; n = r + 3. If v = 7, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = v + 14, which gives h = 21.\n2. Compute y using y = h + 8, which gives y = 29.\n3. Compute c using c = y + 2, which gives c = 31.\n4. Compute g using g = c + 7, which gives g = 38.\n5. Compute l using l = g + 14, which gives l = 52.\n6. Compute d using d = l + 8, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 668,
"question": "Consider a system of variables where each variable is defined as follows: a = x + 6; d = l + 8; v = 7; r = w + 8; g = c + 7; w = m + 3; c = y + 2; m = v + 17; l = g + 14; x = n + 3; h = v + 14; y = h + 8; n = r + 3. If v = 7, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "s + 10", "t": "q + 15", "p": "t + 4", "m": "p + 4", "g": "m + 7", "e": "g + 7", "c": "s + 10", "l": "c + 19", "k": "l + 3", "h": "k + 13", "z": "h + 6", "x": "z + 3", "s": 11}, "premises": {"s": 11}, "target": "e"}, "answer": {"steps": [["q", "s + 10", 21], ["t", "q + 15", 36], ["p", "t + 4", 40], ["m", "p + 4", 44], ["g", "m + 7", 51], ["e", "g + 7", 58]], "target_var_name": "e", "target_value": 58, "value_dict": {"s": 11, "q": 21, "t": 36, "p": 40, "m": 44, "g": 51, "e": 58}, "is_reverse": false}} | 669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = l + 3; q = s + 10; p = t + 4; t = q + 15; l = c + 19; m = p + 4; x = z + 3; s = 11; e = g + 7; g = m + 7; h = k + 13; c = s + 10; z = h + 6. If s = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = s + 10, which gives q = 21.\n2. Compute t using t = q + 15, which gives t = 36.\n3. Compute p using p = t + 4, which gives p = 40.\n4. Compute m using m = p + 4, which gives m = 44.\n5. Compute g using g = m + 7, which gives g = 51.\n6. Compute e using e = g + 7, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 669,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 3; q = s + 10; p = t + 4; t = q + 15; l = c + 19; m = p + 4; x = z + 3; s = 11; e = g + 7; g = m + 7; h = k + 13; c = s + 10; z = h + 6. If s = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 15", "f": "n + 11", "x": "f + 12", "r": "x + 1", "l": "r + 4", "a": "l + 2", "z": "d + 2", "k": "z + 20", "w": "k + 6", "y": "w + 5", "m": "y + 2", "s": "m + 5", "d": 8}, "premises": {"d": 8}, "target": "a"}, "answer": {"steps": [["n", "d + 15", 23], ["f", "n + 11", 34], ["x", "f + 12", 46], ["r", "x + 1", 47], ["l", "r + 4", 51], ["a", "l + 2", 53]], "target_var_name": "a", "target_value": 53, "value_dict": {"d": 8, "n": 23, "f": 34, "x": 46, "r": 47, "l": 51, "a": 53}, "is_reverse": false}} | 670 | 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 = y + 2; f = n + 11; w = k + 6; d = 8; x = f + 12; k = z + 20; r = x + 1; y = w + 5; l = r + 4; z = d + 2; s = m + 5; a = l + 2; n = d + 15. If d = 8, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = d + 15, which gives n = 23.\n2. Compute f using f = n + 11, which gives f = 34.\n3. Compute x using x = f + 12, which gives x = 46.\n4. Compute r using r = x + 1, which gives r = 47.\n5. Compute l using l = r + 4, which gives l = 51.\n6. Compute a using a = l + 2, which gives a = 53.\n\nThus, the final answer is a = \\boxed{53}.",
"index": 670,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 2; f = n + 11; w = k + 6; d = 8; x = f + 12; k = z + 20; r = x + 1; y = w + 5; l = r + 4; z = d + 2; s = m + 5; a = l + 2; n = d + 15. If d = 8, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 6", "j": "l + 3", "u": "j + 13", "d": "u + 9", "i": "d + 2", "m": "i + 3", "x": "f + 18", "e": "x + 6", "z": "e + 11", "g": "z + 19", "n": "g + 15", "a": "n + 20", "f": 7}, "premises": {"f": 7}, "target": "m"}, "answer": {"steps": [["l", "f + 6", 13], ["j", "l + 3", 16], ["u", "j + 13", 29], ["d", "u + 9", 38], ["i", "d + 2", 40], ["m", "i + 3", 43]], "target_var_name": "m", "target_value": 43, "value_dict": {"f": 7, "l": 13, "j": 16, "u": 29, "d": 38, "i": 40, "m": 43}, "is_reverse": false}} | 671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 6; u = j + 13; d = u + 9; g = z + 19; a = n + 20; n = g + 15; i = d + 2; j = l + 3; z = e + 11; x = f + 18; m = i + 3; f = 7; e = x + 6. Given that f = 7, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = f + 6, which gives l = 13.\n2. Compute j using j = l + 3, which gives j = 16.\n3. Compute u using u = j + 13, which gives u = 29.\n4. Compute d using d = u + 9, which gives d = 38.\n5. Compute i using i = d + 2, which gives i = 40.\n6. Compute m using m = i + 3, which gives m = 43.\n\nThus, the final answer is m = \\boxed{43}.",
"index": 671,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 6; u = j + 13; d = u + 9; g = z + 19; a = n + 20; n = g + 15; i = d + 2; j = l + 3; z = e + 11; x = f + 18; m = i + 3; f = 7; e = x + 6. Given that f = 7, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 2", "y": "t + 2", "h": "y + 2", "b": "h + 14", "n": "b + 19", "o": "n + 17", "q": "d + 12", "c": "q + 5", "x": "c + 9", "j": "x + 18", "m": "j + 1", "w": "m + 7", "d": 11}, "premises": {"d": 11}, "target": "o"}, "answer": {"steps": [["t", "d + 2", 13], ["y", "t + 2", 15], ["h", "y + 2", 17], ["b", "h + 14", 31], ["n", "b + 19", 50], ["o", "n + 17", 67]], "target_var_name": "o", "target_value": 67, "value_dict": {"d": 11, "t": 13, "y": 15, "h": 17, "b": 31, "n": 50, "o": 67}, "is_reverse": false}} | 672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 14; t = d + 2; o = n + 17; x = c + 9; n = b + 19; d = 11; h = y + 2; y = t + 2; q = d + 12; m = j + 1; c = q + 5; w = m + 7; j = x + 18. Given that d = 11, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = d + 2, which gives t = 13.\n2. Compute y using y = t + 2, which gives y = 15.\n3. Compute h using h = y + 2, which gives h = 17.\n4. Compute b using b = h + 14, which gives b = 31.\n5. Compute n using n = b + 19, which gives n = 50.\n6. Compute o using o = n + 17, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 672,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 14; t = d + 2; o = n + 17; x = c + 9; n = b + 19; d = 11; h = y + 2; y = t + 2; q = d + 12; m = j + 1; c = q + 5; w = m + 7; j = x + 18. Given that d = 11, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 11", "y": "r + 15", "v": "y + 10", "h": "v + 19", "a": "h + 1", "j": "a + 1", "l": "f + 1", "g": "l + 10", "b": "g + 2", "s": "b + 10", "t": "s + 1", "m": "t + 10", "f": 8}, "premises": {"f": 8}, "target": "j"}, "answer": {"steps": [["r", "f + 11", 19], ["y", "r + 15", 34], ["v", "y + 10", 44], ["h", "v + 19", 63], ["a", "h + 1", 64], ["j", "a + 1", 65]], "target_var_name": "j", "target_value": 65, "value_dict": {"f": 8, "r": 19, "y": 34, "v": 44, "h": 63, "a": 64, "j": 65}, "is_reverse": false}} | 673 | 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 = a + 1; v = y + 10; t = s + 1; r = f + 11; f = 8; l = f + 1; s = b + 10; a = h + 1; b = g + 2; m = t + 10; g = l + 10; h = v + 19; y = r + 15. If f = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = f + 11, which gives r = 19.\n2. Compute y using y = r + 15, which gives y = 34.\n3. Compute v using v = y + 10, which gives v = 44.\n4. Compute h using h = v + 19, which gives h = 63.\n5. Compute a using a = h + 1, which gives a = 64.\n6. Compute j using j = a + 1, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 1; v = y + 10; t = s + 1; r = f + 11; f = 8; l = f + 1; s = b + 10; a = h + 1; b = g + 2; m = t + 10; g = l + 10; h = v + 19; y = r + 15. If f = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 2", "m": "f + 17", "t": "m + 12", "p": "t + 12", "d": "p + 4", "b": "d + 8", "q": "r + 3", "y": "q + 1", "l": "y + 13", "z": "l + 18", "o": "z + 10", "j": "o + 19", "r": 7}, "premises": {"r": 7}, "target": "b"}, "answer": {"steps": [["f", "r + 2", 9], ["m", "f + 17", 26], ["t", "m + 12", 38], ["p", "t + 12", 50], ["d", "p + 4", 54], ["b", "d + 8", 62]], "target_var_name": "b", "target_value": 62, "value_dict": {"r": 7, "f": 9, "m": 26, "t": 38, "p": 50, "d": 54, "b": 62}, "is_reverse": false}} | 674 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 12; d = p + 4; l = y + 13; z = l + 18; f = r + 2; r = 7; t = m + 12; m = f + 17; b = d + 8; o = z + 10; q = r + 3; y = q + 1; j = o + 19. If r = 7, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = r + 2, which gives f = 9.\n2. Compute m using m = f + 17, which gives m = 26.\n3. Compute t using t = m + 12, which gives t = 38.\n4. Compute p using p = t + 12, which gives p = 50.\n5. Compute d using d = p + 4, which gives d = 54.\n6. Compute b using b = d + 8, which gives b = 62.\n\nThus, the final answer is b = \\boxed{62}.",
"index": 674,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 12; d = p + 4; l = y + 13; z = l + 18; f = r + 2; r = 7; t = m + 12; m = f + 17; b = d + 8; o = z + 10; q = r + 3; y = q + 1; j = o + 19. If r = 7, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 12", "p": "i + 10", "j": "p + 6", "s": "j + 4", "o": "s + 13", "u": "o + 14", "k": "b + 7", "r": "k + 14", "a": "r + 19", "v": "a + 19", "d": "v + 17", "x": "d + 9", "b": 16}, "premises": {"b": 16}, "target": "u"}, "answer": {"steps": [["i", "b + 12", 28], ["p", "i + 10", 38], ["j", "p + 6", 44], ["s", "j + 4", 48], ["o", "s + 13", 61], ["u", "o + 14", 75]], "target_var_name": "u", "target_value": 75, "value_dict": {"b": 16, "i": 28, "p": 38, "j": 44, "s": 48, "o": 61, "u": 75}, "is_reverse": false}} | 675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 13; d = v + 17; p = i + 10; v = a + 19; k = b + 7; x = d + 9; j = p + 6; r = k + 14; u = o + 14; a = r + 19; i = b + 12; s = j + 4; b = 16. If b = 16, determine the value of u.",
"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 = b + 12, which gives i = 28.\n2. Compute p using p = i + 10, which gives p = 38.\n3. Compute j using j = p + 6, which gives j = 44.\n4. Compute s using s = j + 4, which gives s = 48.\n5. Compute o using o = s + 13, which gives o = 61.\n6. Compute u using u = o + 14, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 675,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 13; d = v + 17; p = i + 10; v = a + 19; k = b + 7; x = d + 9; j = p + 6; r = k + 14; u = o + 14; a = r + 19; i = b + 12; s = j + 4; b = 16. If b = 16, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "x + 11", "i": "m + 10", "k": "i + 16", "v": "k + 6", "r": "v + 7", "h": "r + 9", "w": "x + 17", "l": "w + 20", "d": "l + 17", "n": "d + 15", "j": "n + 15", "o": "j + 16", "x": 16}, "premises": {"x": 16}, "target": "h"}, "answer": {"steps": [["m", "x + 11", 27], ["i", "m + 10", 37], ["k", "i + 16", 53], ["v", "k + 6", 59], ["r", "v + 7", 66], ["h", "r + 9", 75]], "target_var_name": "h", "target_value": 75, "value_dict": {"x": 16, "m": 27, "i": 37, "k": 53, "v": 59, "r": 66, "h": 75}, "is_reverse": false}} | 676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 15; o = j + 16; i = m + 10; v = k + 6; n = d + 15; l = w + 20; x = 16; r = v + 7; h = r + 9; m = x + 11; d = l + 17; k = i + 16; w = x + 17. If x = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = x + 11, which gives m = 27.\n2. Compute i using i = m + 10, which gives i = 37.\n3. Compute k using k = i + 16, which gives k = 53.\n4. Compute v using v = k + 6, which gives v = 59.\n5. Compute r using r = v + 7, which gives r = 66.\n6. Compute h using h = r + 9, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 676,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 15; o = j + 16; i = m + 10; v = k + 6; n = d + 15; l = w + 20; x = 16; r = v + 7; h = r + 9; m = x + 11; d = l + 17; k = i + 16; w = x + 17. If x = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 1", "e": "w + 13", "d": "e + 10", "z": "d + 11", "r": "z + 4", "q": "r + 1", "u": "n + 5", "p": "u + 20", "l": "p + 20", "h": "l + 12", "o": "h + 19", "c": "o + 3", "n": 1}, "premises": {"n": 1}, "target": "q"}, "answer": {"steps": [["w", "n + 1", 2], ["e", "w + 13", 15], ["d", "e + 10", 25], ["z", "d + 11", 36], ["r", "z + 4", 40], ["q", "r + 1", 41]], "target_var_name": "q", "target_value": 41, "value_dict": {"n": 1, "w": 2, "e": 15, "d": 25, "z": 36, "r": 40, "q": 41}, "is_reverse": false}} | 677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = n + 5; n = 1; r = z + 4; l = p + 20; p = u + 20; z = d + 11; d = e + 10; e = w + 13; c = o + 3; h = l + 12; w = n + 1; q = r + 1; o = h + 19. If n = 1, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = n + 1, which gives w = 2.\n2. Compute e using e = w + 13, which gives e = 15.\n3. Compute d using d = e + 10, which gives d = 25.\n4. Compute z using z = d + 11, which gives z = 36.\n5. Compute r using r = z + 4, which gives r = 40.\n6. Compute q using q = r + 1, which gives q = 41.\n\nThus, the final answer is q = \\boxed{41}.",
"index": 677,
"question": "Consider a system of variables where each variable is defined as follows: u = n + 5; n = 1; r = z + 4; l = p + 20; p = u + 20; z = d + 11; d = e + 10; e = w + 13; c = o + 3; h = l + 12; w = n + 1; q = r + 1; o = h + 19. If n = 1, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 1", "t": "n + 3", "b": "t + 18", "k": "b + 15", "g": "k + 15", "a": "g + 20", "y": "x + 3", "w": "y + 8", "u": "w + 10", "c": "u + 1", "i": "c + 20", "e": "i + 16", "x": 9}, "premises": {"x": 9}, "target": "a"}, "answer": {"steps": [["n", "x + 1", 10], ["t", "n + 3", 13], ["b", "t + 18", 31], ["k", "b + 15", 46], ["g", "k + 15", 61], ["a", "g + 20", 81]], "target_var_name": "a", "target_value": 81, "value_dict": {"x": 9, "n": 10, "t": 13, "b": 31, "k": 46, "g": 61, "a": 81}, "is_reverse": false}} | 678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 20; u = w + 10; x = 9; w = y + 8; c = u + 1; g = k + 15; k = b + 15; n = x + 1; y = x + 3; e = i + 16; b = t + 18; i = c + 20; t = n + 3. If x = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = x + 1, which gives n = 10.\n2. Compute t using t = n + 3, which gives t = 13.\n3. Compute b using b = t + 18, which gives b = 31.\n4. Compute k using k = b + 15, which gives k = 46.\n5. Compute g using g = k + 15, which gives g = 61.\n6. Compute a using a = g + 20, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 678,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 20; u = w + 10; x = 9; w = y + 8; c = u + 1; g = k + 15; k = b + 15; n = x + 1; y = x + 3; e = i + 16; b = t + 18; i = c + 20; t = n + 3. If x = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"t": "h + 19", "y": "t + 19", "f": "y + 15", "q": "f + 18", "p": "q + 9", "m": "p + 3", "n": "h + 4", "c": "n + 4", "u": "c + 4", "l": "u + 12", "o": "l + 5", "v": "o + 9", "h": 3}, "premises": {"h": 3}, "target": "m"}, "answer": {"steps": [["t", "h + 19", 22], ["y", "t + 19", 41], ["f", "y + 15", 56], ["q", "f + 18", 74], ["p", "q + 9", 83], ["m", "p + 3", 86]], "target_var_name": "m", "target_value": 86, "value_dict": {"h": 3, "t": 22, "y": 41, "f": 56, "q": 74, "p": 83, "m": 86}, "is_reverse": false}} | 679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = n + 4; t = h + 19; m = p + 3; f = y + 15; n = h + 4; p = q + 9; h = 3; l = u + 12; q = f + 18; o = l + 5; v = o + 9; y = t + 19; u = c + 4. If h = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = h + 19, which gives t = 22.\n2. Compute y using y = t + 19, which gives y = 41.\n3. Compute f using f = y + 15, which gives f = 56.\n4. Compute q using q = f + 18, which gives q = 74.\n5. Compute p using p = q + 9, which gives p = 83.\n6. Compute m using m = p + 3, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 679,
"question": "Consider a system of variables where each variable is defined as follows: c = n + 4; t = h + 19; m = p + 3; f = y + 15; n = h + 4; p = q + 9; h = 3; l = u + 12; q = f + 18; o = l + 5; v = o + 9; y = t + 19; u = c + 4. If h = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 20", "q": "p + 19", "s": "q + 15", "i": "s + 8", "r": "i + 12", "z": "r + 17", "l": "b + 13", "x": "l + 19", "f": "x + 7", "u": "f + 4", "o": "u + 14", "c": "o + 14", "b": 1}, "premises": {"b": 1}, "target": "z"}, "answer": {"steps": [["p", "b + 20", 21], ["q", "p + 19", 40], ["s", "q + 15", 55], ["i", "s + 8", 63], ["r", "i + 12", 75], ["z", "r + 17", 92]], "target_var_name": "z", "target_value": 92, "value_dict": {"b": 1, "p": 21, "q": 40, "s": 55, "i": 63, "r": 75, "z": 92}, "is_reverse": false}} | 680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 7; z = r + 17; q = p + 19; x = l + 19; i = s + 8; o = u + 14; s = q + 15; c = o + 14; p = b + 20; u = f + 4; b = 1; r = i + 12; l = b + 13. If b = 1, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = b + 20, which gives p = 21.\n2. Compute q using q = p + 19, which gives q = 40.\n3. Compute s using s = q + 15, which gives s = 55.\n4. Compute i using i = s + 8, which gives i = 63.\n5. Compute r using r = i + 12, which gives r = 75.\n6. Compute z using z = r + 17, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 680,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 7; z = r + 17; q = p + 19; x = l + 19; i = s + 8; o = u + 14; s = q + 15; c = o + 14; p = b + 20; u = f + 4; b = 1; r = i + 12; l = b + 13. If b = 1, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 18", "d": "m + 13", "w": "d + 11", "l": "w + 5", "i": "l + 20", "k": "i + 10", "b": "e + 12", "g": "b + 5", "c": "g + 10", "q": "c + 1", "n": "q + 20", "o": "n + 11", "e": 10}, "premises": {"e": 10}, "target": "k"}, "answer": {"steps": [["m", "e + 18", 28], ["d", "m + 13", 41], ["w", "d + 11", 52], ["l", "w + 5", 57], ["i", "l + 20", 77], ["k", "i + 10", 87]], "target_var_name": "k", "target_value": 87, "value_dict": {"e": 10, "m": 28, "d": 41, "w": 52, "l": 57, "i": 77, "k": 87}, "is_reverse": false}} | 681 | 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 = i + 10; n = q + 20; c = g + 10; l = w + 5; w = d + 11; m = e + 18; d = m + 13; b = e + 12; i = l + 20; e = 10; o = n + 11; g = b + 5; q = c + 1. If e = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = e + 18, which gives m = 28.\n2. Compute d using d = m + 13, which gives d = 41.\n3. Compute w using w = d + 11, which gives w = 52.\n4. Compute l using l = w + 5, which gives l = 57.\n5. Compute i using i = l + 20, which gives i = 77.\n6. Compute k using k = i + 10, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 681,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 10; n = q + 20; c = g + 10; l = w + 5; w = d + 11; m = e + 18; d = m + 13; b = e + 12; i = l + 20; e = 10; o = n + 11; g = b + 5; q = c + 1. If e = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 14", "d": "g + 8", "p": "d + 7", "m": "p + 16", "w": "m + 3", "i": "w + 6", "j": "z + 2", "e": "j + 12", "r": "e + 6", "u": "r + 2", "a": "u + 7", "v": "a + 16", "z": 5}, "premises": {"z": 5}, "target": "i"}, "answer": {"steps": [["g", "z + 14", 19], ["d", "g + 8", 27], ["p", "d + 7", 34], ["m", "p + 16", 50], ["w", "m + 3", 53], ["i", "w + 6", 59]], "target_var_name": "i", "target_value": 59, "value_dict": {"z": 5, "g": 19, "d": 27, "p": 34, "m": 50, "w": 53, "i": 59}, "is_reverse": false}} | 682 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = 5; m = p + 16; r = e + 6; g = z + 14; i = w + 6; d = g + 8; v = a + 16; w = m + 3; u = r + 2; j = z + 2; a = u + 7; p = d + 7; e = j + 12. If z = 5, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = z + 14, which gives g = 19.\n2. Compute d using d = g + 8, which gives d = 27.\n3. Compute p using p = d + 7, which gives p = 34.\n4. Compute m using m = p + 16, which gives m = 50.\n5. Compute w using w = m + 3, which gives w = 53.\n6. Compute i using i = w + 6, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 682,
"question": "Consider a system of variables where each variable is defined as follows: z = 5; m = p + 16; r = e + 6; g = z + 14; i = w + 6; d = g + 8; v = a + 16; w = m + 3; u = r + 2; j = z + 2; a = u + 7; p = d + 7; e = j + 12. If z = 5, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 10", "d": "w + 2", "j": "d + 17", "r": "j + 7", "y": "r + 10", "n": "y + 12", "c": "k + 6", "v": "c + 15", "b": "v + 10", "o": "b + 20", "x": "o + 17", "p": "x + 17", "k": 16}, "premises": {"k": 16}, "target": "n"}, "answer": {"steps": [["w", "k + 10", 26], ["d", "w + 2", 28], ["j", "d + 17", 45], ["r", "j + 7", 52], ["y", "r + 10", 62], ["n", "y + 12", 74]], "target_var_name": "n", "target_value": 74, "value_dict": {"k": 16, "w": 26, "d": 28, "j": 45, "r": 52, "y": 62, "n": 74}, "is_reverse": false}} | 683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 17; r = j + 7; k = 16; o = b + 20; x = o + 17; v = c + 15; c = k + 6; j = d + 17; b = v + 10; y = r + 10; w = k + 10; n = y + 12; d = w + 2. Given that k = 16, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = k + 10, which gives w = 26.\n2. Compute d using d = w + 2, which gives d = 28.\n3. Compute j using j = d + 17, which gives j = 45.\n4. Compute r using r = j + 7, which gives r = 52.\n5. Compute y using y = r + 10, which gives y = 62.\n6. Compute n using n = y + 12, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 683,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 17; r = j + 7; k = 16; o = b + 20; x = o + 17; v = c + 15; c = k + 6; j = d + 17; b = v + 10; y = r + 10; w = k + 10; n = y + 12; d = w + 2. Given that k = 16, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 8", "a": "p + 14", "t": "a + 14", "b": "t + 10", "l": "b + 16", "h": "l + 1", "s": "g + 4", "o": "s + 9", "m": "o + 17", "c": "m + 20", "z": "c + 12", "w": "z + 6", "g": 5}, "premises": {"g": 5}, "target": "h"}, "answer": {"steps": [["p", "g + 8", 13], ["a", "p + 14", 27], ["t", "a + 14", 41], ["b", "t + 10", 51], ["l", "b + 16", 67], ["h", "l + 1", 68]], "target_var_name": "h", "target_value": 68, "value_dict": {"g": 5, "p": 13, "a": 27, "t": 41, "b": 51, "l": 67, "h": 68}, "is_reverse": false}} | 684 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = c + 12; o = s + 9; b = t + 10; c = m + 20; w = z + 6; l = b + 16; m = o + 17; g = 5; a = p + 14; h = l + 1; s = g + 4; t = a + 14; p = g + 8. If g = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = g + 8, which gives p = 13.\n2. Compute a using a = p + 14, which gives a = 27.\n3. Compute t using t = a + 14, which gives t = 41.\n4. Compute b using b = t + 10, which gives b = 51.\n5. Compute l using l = b + 16, which gives l = 67.\n6. Compute h using h = l + 1, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 684,
"question": "Consider a system of variables where each variable is defined as follows: z = c + 12; o = s + 9; b = t + 10; c = m + 20; w = z + 6; l = b + 16; m = o + 17; g = 5; a = p + 14; h = l + 1; s = g + 4; t = a + 14; p = g + 8. If g = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 9", "o": "t + 3", "n": "o + 1", "u": "n + 15", "x": "u + 14", "w": "x + 18", "g": "d + 1", "p": "g + 6", "h": "p + 8", "r": "h + 13", "b": "r + 14", "c": "b + 13", "d": 17}, "premises": {"d": 17}, "target": "w"}, "answer": {"steps": [["t", "d + 9", 26], ["o", "t + 3", 29], ["n", "o + 1", 30], ["u", "n + 15", 45], ["x", "u + 14", 59], ["w", "x + 18", 77]], "target_var_name": "w", "target_value": 77, "value_dict": {"d": 17, "t": 26, "o": 29, "n": 30, "u": 45, "x": 59, "w": 77}, "is_reverse": false}} | 685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = p + 8; b = r + 14; n = o + 1; r = h + 13; w = x + 18; c = b + 13; x = u + 14; g = d + 1; u = n + 15; p = g + 6; d = 17; o = t + 3; t = d + 9. If d = 17, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = d + 9, which gives t = 26.\n2. Compute o using o = t + 3, which gives o = 29.\n3. Compute n using n = o + 1, which gives n = 30.\n4. Compute u using u = n + 15, which gives u = 45.\n5. Compute x using x = u + 14, which gives x = 59.\n6. Compute w using w = x + 18, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 685,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = p + 8; b = r + 14; n = o + 1; r = h + 13; w = x + 18; c = b + 13; x = u + 14; g = d + 1; u = n + 15; p = g + 6; d = 17; o = t + 3; t = d + 9. If d = 17, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 7", "l": "w + 6", "i": "l + 3", "g": "i + 8", "f": "g + 16", "j": "f + 4", "k": "u + 19", "x": "k + 3", "n": "x + 10", "s": "n + 10", "e": "s + 16", "c": "e + 18", "u": 19}, "premises": {"u": 19}, "target": "j"}, "answer": {"steps": [["w", "u + 7", 26], ["l", "w + 6", 32], ["i", "l + 3", 35], ["g", "i + 8", 43], ["f", "g + 16", 59], ["j", "f + 4", 63]], "target_var_name": "j", "target_value": 63, "value_dict": {"u": 19, "w": 26, "l": 32, "i": 35, "g": 43, "f": 59, "j": 63}, "is_reverse": false}} | 686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 16; j = f + 4; u = 19; g = i + 8; i = l + 3; x = k + 3; e = s + 16; n = x + 10; k = u + 19; s = n + 10; w = u + 7; l = w + 6; c = e + 18. Given that u = 19, find the value of j.",
"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 = u + 7, which gives w = 26.\n2. Compute l using l = w + 6, which gives l = 32.\n3. Compute i using i = l + 3, which gives i = 35.\n4. Compute g using g = i + 8, which gives g = 43.\n5. Compute f using f = g + 16, which gives f = 59.\n6. Compute j using j = f + 4, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 686,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 16; j = f + 4; u = 19; g = i + 8; i = l + 3; x = k + 3; e = s + 16; n = x + 10; k = u + 19; s = n + 10; w = u + 7; l = w + 6; c = e + 18. Given that u = 19, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 16", "x": "s + 14", "w": "x + 1", "r": "w + 3", "o": "r + 10", "l": "o + 3", "p": "f + 16", "n": "p + 6", "m": "n + 15", "z": "m + 19", "j": "z + 18", "t": "j + 20", "f": 3}, "premises": {"f": 3}, "target": "l"}, "answer": {"steps": [["s", "f + 16", 19], ["x", "s + 14", 33], ["w", "x + 1", 34], ["r", "w + 3", 37], ["o", "r + 10", 47], ["l", "o + 3", 50]], "target_var_name": "l", "target_value": 50, "value_dict": {"f": 3, "s": 19, "x": 33, "w": 34, "r": 37, "o": 47, "l": 50}, "is_reverse": false}} | 687 | 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 = x + 1; p = f + 16; t = j + 20; r = w + 3; s = f + 16; z = m + 19; j = z + 18; m = n + 15; x = s + 14; l = o + 3; n = p + 6; o = r + 10; f = 3. If f = 3, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = f + 16, which gives s = 19.\n2. Compute x using x = s + 14, which gives x = 33.\n3. Compute w using w = x + 1, which gives w = 34.\n4. Compute r using r = w + 3, which gives r = 37.\n5. Compute o using o = r + 10, which gives o = 47.\n6. Compute l using l = o + 3, which gives l = 50.\n\nThus, the final answer is l = \\boxed{50}.",
"index": 687,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 1; p = f + 16; t = j + 20; r = w + 3; s = f + 16; z = m + 19; j = z + 18; m = n + 15; x = s + 14; l = o + 3; n = p + 6; o = r + 10; f = 3. If f = 3, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 12", "e": "x + 16", "k": "e + 12", "q": "k + 15", "c": "q + 13", "j": "c + 15", "u": "i + 12", "n": "u + 3", "g": "n + 11", "f": "g + 13", "y": "f + 10", "b": "y + 15", "i": 2}, "premises": {"i": 2}, "target": "j"}, "answer": {"steps": [["x", "i + 12", 14], ["e", "x + 16", 30], ["k", "e + 12", 42], ["q", "k + 15", 57], ["c", "q + 13", 70], ["j", "c + 15", 85]], "target_var_name": "j", "target_value": 85, "value_dict": {"i": 2, "x": 14, "e": 30, "k": 42, "q": 57, "c": 70, "j": 85}, "is_reverse": false}} | 688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 12; y = f + 10; i = 2; q = k + 15; g = n + 11; e = x + 16; b = y + 15; c = q + 13; n = u + 3; f = g + 13; u = i + 12; x = i + 12; j = c + 15. If i = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = i + 12, which gives x = 14.\n2. Compute e using e = x + 16, which gives e = 30.\n3. Compute k using k = e + 12, which gives k = 42.\n4. Compute q using q = k + 15, which gives q = 57.\n5. Compute c using c = q + 13, which gives c = 70.\n6. Compute j using j = c + 15, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 688,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 12; y = f + 10; i = 2; q = k + 15; g = n + 11; e = x + 16; b = y + 15; c = q + 13; n = u + 3; f = g + 13; u = i + 12; x = i + 12; j = c + 15. If i = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 20", "g": "b + 8", "i": "g + 11", "y": "i + 13", "o": "y + 3", "h": "o + 17", "t": "u + 4", "m": "t + 13", "e": "m + 10", "z": "e + 12", "p": "z + 9", "w": "p + 2", "u": 4}, "premises": {"u": 4}, "target": "h"}, "answer": {"steps": [["b", "u + 20", 24], ["g", "b + 8", 32], ["i", "g + 11", 43], ["y", "i + 13", 56], ["o", "y + 3", 59], ["h", "o + 17", 76]], "target_var_name": "h", "target_value": 76, "value_dict": {"u": 4, "b": 24, "g": 32, "i": 43, "y": 56, "o": 59, "h": 76}, "is_reverse": false}} | 689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 4; o = y + 3; w = p + 2; y = i + 13; b = u + 20; i = g + 11; z = e + 12; g = b + 8; h = o + 17; m = t + 13; e = m + 10; p = z + 9; u = 4. If u = 4, what is the resulting 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 b using b = u + 20, which gives b = 24.\n2. Compute g using g = b + 8, which gives g = 32.\n3. Compute i using i = g + 11, which gives i = 43.\n4. Compute y using y = i + 13, which gives y = 56.\n5. Compute o using o = y + 3, which gives o = 59.\n6. Compute h using h = o + 17, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 689,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 4; o = y + 3; w = p + 2; y = i + 13; b = u + 20; i = g + 11; z = e + 12; g = b + 8; h = o + 17; m = t + 13; e = m + 10; p = z + 9; u = 4. If u = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 10", "g": "l + 18", "j": "g + 8", "k": "j + 15", "n": "k + 18", "u": "n + 16", "w": "m + 6", "e": "w + 15", "a": "e + 19", "h": "a + 6", "b": "h + 2", "o": "b + 3", "m": 5}, "premises": {"m": 5}, "target": "u"}, "answer": {"steps": [["l", "m + 10", 15], ["g", "l + 18", 33], ["j", "g + 8", 41], ["k", "j + 15", 56], ["n", "k + 18", 74], ["u", "n + 16", 90]], "target_var_name": "u", "target_value": 90, "value_dict": {"m": 5, "l": 15, "g": 33, "j": 41, "k": 56, "n": 74, "u": 90}, "is_reverse": false}} | 690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 15; k = j + 15; n = k + 18; l = m + 10; h = a + 6; j = g + 8; b = h + 2; g = l + 18; a = e + 19; w = m + 6; u = n + 16; m = 5; o = b + 3. If m = 5, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = m + 10, which gives l = 15.\n2. Compute g using g = l + 18, which gives g = 33.\n3. Compute j using j = g + 8, which gives j = 41.\n4. Compute k using k = j + 15, which gives k = 56.\n5. Compute n using n = k + 18, which gives n = 74.\n6. Compute u using u = n + 16, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 690,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 15; k = j + 15; n = k + 18; l = m + 10; h = a + 6; j = g + 8; b = h + 2; g = l + 18; a = e + 19; w = m + 6; u = n + 16; m = 5; o = b + 3. If m = 5, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"t": "o + 14", "z": "t + 13", "x": "z + 10", "p": "x + 14", "q": "p + 5", "g": "q + 7", "v": "o + 19", "b": "v + 3", "w": "b + 1", "i": "w + 10", "d": "i + 4", "a": "d + 6", "o": 19}, "premises": {"o": 19}, "target": "g"}, "answer": {"steps": [["t", "o + 14", 33], ["z", "t + 13", 46], ["x", "z + 10", 56], ["p", "x + 14", 70], ["q", "p + 5", 75], ["g", "q + 7", 82]], "target_var_name": "g", "target_value": 82, "value_dict": {"o": 19, "t": 33, "z": 46, "x": 56, "p": 70, "q": 75, "g": 82}, "is_reverse": false}} | 691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 14; b = v + 3; i = w + 10; d = i + 4; g = q + 7; w = b + 1; v = o + 19; t = o + 14; x = z + 10; o = 19; z = t + 13; a = d + 6; q = p + 5. Given that o = 19, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = o + 14, which gives t = 33.\n2. Compute z using z = t + 13, which gives z = 46.\n3. Compute x using x = z + 10, which gives x = 56.\n4. Compute p using p = x + 14, which gives p = 70.\n5. Compute q using q = p + 5, which gives q = 75.\n6. Compute g using g = q + 7, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 691,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 14; b = v + 3; i = w + 10; d = i + 4; g = q + 7; w = b + 1; v = o + 19; t = o + 14; x = z + 10; o = 19; z = t + 13; a = d + 6; q = p + 5. Given that o = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 18", "f": "w + 9", "j": "f + 4", "q": "j + 11", "u": "q + 2", "v": "u + 9", "k": "b + 19", "m": "k + 8", "y": "m + 9", "p": "y + 3", "s": "p + 15", "d": "s + 3", "b": 2}, "premises": {"b": 2}, "target": "v"}, "answer": {"steps": [["w", "b + 18", 20], ["f", "w + 9", 29], ["j", "f + 4", 33], ["q", "j + 11", 44], ["u", "q + 2", 46], ["v", "u + 9", 55]], "target_var_name": "v", "target_value": 55, "value_dict": {"b": 2, "w": 20, "f": 29, "j": 33, "q": 44, "u": 46, "v": 55}, "is_reverse": false}} | 692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 2; j = f + 4; p = y + 3; v = u + 9; s = p + 15; y = m + 9; b = 2; m = k + 8; q = j + 11; d = s + 3; f = w + 9; k = b + 19; w = b + 18. If b = 2, determine 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 w using w = b + 18, which gives w = 20.\n2. Compute f using f = w + 9, which gives f = 29.\n3. Compute j using j = f + 4, which gives j = 33.\n4. Compute q using q = j + 11, which gives q = 44.\n5. Compute u using u = q + 2, which gives u = 46.\n6. Compute v using v = u + 9, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 692,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 2; j = f + 4; p = y + 3; v = u + 9; s = p + 15; y = m + 9; b = 2; m = k + 8; q = j + 11; d = s + 3; f = w + 9; k = b + 19; w = b + 18. If b = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"e": "y + 7", "s": "e + 5", "k": "s + 18", "h": "k + 7", "x": "h + 12", "c": "x + 15", "r": "y + 8", "i": "r + 7", "p": "i + 13", "o": "p + 13", "d": "o + 9", "a": "d + 14", "y": 15}, "premises": {"y": 15}, "target": "c"}, "answer": {"steps": [["e", "y + 7", 22], ["s", "e + 5", 27], ["k", "s + 18", 45], ["h", "k + 7", 52], ["x", "h + 12", 64], ["c", "x + 15", 79]], "target_var_name": "c", "target_value": 79, "value_dict": {"y": 15, "e": 22, "s": 27, "k": 45, "h": 52, "x": 64, "c": 79}, "is_reverse": false}} | 693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 13; c = x + 15; a = d + 14; d = o + 9; h = k + 7; y = 15; r = y + 8; k = s + 18; i = r + 7; s = e + 5; p = i + 13; x = h + 12; e = y + 7. If y = 15, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = y + 7, which gives e = 22.\n2. Compute s using s = e + 5, which gives s = 27.\n3. Compute k using k = s + 18, which gives k = 45.\n4. Compute h using h = k + 7, which gives h = 52.\n5. Compute x using x = h + 12, which gives x = 64.\n6. Compute c using c = x + 15, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 693,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 13; c = x + 15; a = d + 14; d = o + 9; h = k + 7; y = 15; r = y + 8; k = s + 18; i = r + 7; s = e + 5; p = i + 13; x = h + 12; e = y + 7. If y = 15, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 4", "p": "y + 8", "c": "p + 18", "j": "c + 9", "e": "j + 11", "o": "e + 13", "z": "k + 7", "x": "z + 9", "u": "x + 11", "i": "u + 16", "b": "i + 11", "a": "b + 8", "k": 9}, "premises": {"k": 9}, "target": "o"}, "answer": {"steps": [["y", "k + 4", 13], ["p", "y + 8", 21], ["c", "p + 18", 39], ["j", "c + 9", 48], ["e", "j + 11", 59], ["o", "e + 13", 72]], "target_var_name": "o", "target_value": 72, "value_dict": {"k": 9, "y": 13, "p": 21, "c": 39, "j": 48, "e": 59, "o": 72}, "is_reverse": false}} | 694 | 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 = z + 9; p = y + 8; b = i + 11; j = c + 9; a = b + 8; i = u + 16; z = k + 7; o = e + 13; k = 9; e = j + 11; u = x + 11; y = k + 4; c = p + 18. If k = 9, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = k + 4, which gives y = 13.\n2. Compute p using p = y + 8, which gives p = 21.\n3. Compute c using c = p + 18, which gives c = 39.\n4. Compute j using j = c + 9, which gives j = 48.\n5. Compute e using e = j + 11, which gives e = 59.\n6. Compute o using o = e + 13, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 694,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = z + 9; p = y + 8; b = i + 11; j = c + 9; a = b + 8; i = u + 16; z = k + 7; o = e + 13; k = 9; e = j + 11; u = x + 11; y = k + 4; c = p + 18. If k = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 18", "a": "e + 4", "w": "a + 2", "v": "w + 8", "g": "v + 4", "m": "g + 14", "b": "z + 18", "l": "b + 8", "u": "l + 2", "t": "u + 14", "d": "t + 14", "q": "d + 3", "z": 19}, "premises": {"z": 19}, "target": "m"}, "answer": {"steps": [["e", "z + 18", 37], ["a", "e + 4", 41], ["w", "a + 2", 43], ["v", "w + 8", 51], ["g", "v + 4", 55], ["m", "g + 14", 69]], "target_var_name": "m", "target_value": 69, "value_dict": {"z": 19, "e": 37, "a": 41, "w": 43, "v": 51, "g": 55, "m": 69}, "is_reverse": false}} | 695 | 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 = z + 18; q = d + 3; e = z + 18; t = u + 14; m = g + 14; l = b + 8; v = w + 8; w = a + 2; z = 19; d = t + 14; g = v + 4; u = l + 2; a = e + 4. If z = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = z + 18, which gives e = 37.\n2. Compute a using a = e + 4, which gives a = 41.\n3. Compute w using w = a + 2, which gives w = 43.\n4. Compute v using v = w + 8, which gives v = 51.\n5. Compute g using g = v + 4, which gives g = 55.\n6. Compute m using m = g + 14, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 18; q = d + 3; e = z + 18; t = u + 14; m = g + 14; l = b + 8; v = w + 8; w = a + 2; z = 19; d = t + 14; g = v + 4; u = l + 2; a = e + 4. If z = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 9", "j": "q + 1", "e": "j + 18", "h": "e + 16", "i": "h + 17", "v": "i + 6", "s": "g + 12", "w": "s + 12", "f": "w + 11", "m": "f + 12", "u": "m + 9", "l": "u + 12", "g": 10}, "premises": {"g": 10}, "target": "v"}, "answer": {"steps": [["q", "g + 9", 19], ["j", "q + 1", 20], ["e", "j + 18", 38], ["h", "e + 16", 54], ["i", "h + 17", 71], ["v", "i + 6", 77]], "target_var_name": "v", "target_value": 77, "value_dict": {"g": 10, "q": 19, "j": 20, "e": 38, "h": 54, "i": 71, "v": 77}, "is_reverse": false}} | 696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 9; f = w + 11; j = q + 1; g = 10; i = h + 17; s = g + 12; e = j + 18; w = s + 12; u = m + 9; m = f + 12; h = e + 16; v = i + 6; l = u + 12. If g = 10, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = g + 9, which gives q = 19.\n2. Compute j using j = q + 1, which gives j = 20.\n3. Compute e using e = j + 18, which gives e = 38.\n4. Compute h using h = e + 16, which gives h = 54.\n5. Compute i using i = h + 17, which gives i = 71.\n6. Compute v using v = i + 6, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 696,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 9; f = w + 11; j = q + 1; g = 10; i = h + 17; s = g + 12; e = j + 18; w = s + 12; u = m + 9; m = f + 12; h = e + 16; v = i + 6; l = u + 12. If g = 10, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "r + 11", "j": "t + 6", "p": "j + 10", "x": "p + 3", "w": "x + 3", "i": "w + 19", "z": "r + 5", "d": "z + 16", "f": "d + 11", "h": "f + 10", "b": "h + 6", "a": "b + 1", "r": 3}, "premises": {"r": 3}, "target": "i"}, "answer": {"steps": [["t", "r + 11", 14], ["j", "t + 6", 20], ["p", "j + 10", 30], ["x", "p + 3", 33], ["w", "x + 3", 36], ["i", "w + 19", 55]], "target_var_name": "i", "target_value": 55, "value_dict": {"r": 3, "t": 14, "j": 20, "p": 30, "x": 33, "w": 36, "i": 55}, "is_reverse": false}} | 697 | 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 = x + 3; r = 3; x = p + 3; z = r + 5; f = d + 11; t = r + 11; a = b + 1; b = h + 6; h = f + 10; d = z + 16; i = w + 19; p = j + 10; j = t + 6. If r = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = r + 11, which gives t = 14.\n2. Compute j using j = t + 6, which gives j = 20.\n3. Compute p using p = j + 10, which gives p = 30.\n4. Compute x using x = p + 3, which gives x = 33.\n5. Compute w using w = x + 3, which gives w = 36.\n6. Compute i using i = w + 19, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 697,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 3; r = 3; x = p + 3; z = r + 5; f = d + 11; t = r + 11; a = b + 1; b = h + 6; h = f + 10; d = z + 16; i = w + 19; p = j + 10; j = t + 6. If r = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 7", "f": "i + 5", "t": "f + 19", "r": "t + 9", "v": "r + 17", "c": "v + 13", "y": "d + 8", "q": "y + 9", "k": "q + 5", "b": "k + 17", "p": "b + 10", "w": "p + 2", "d": 3}, "premises": {"d": 3}, "target": "c"}, "answer": {"steps": [["i", "d + 7", 10], ["f", "i + 5", 15], ["t", "f + 19", 34], ["r", "t + 9", 43], ["v", "r + 17", 60], ["c", "v + 13", 73]], "target_var_name": "c", "target_value": 73, "value_dict": {"d": 3, "i": 10, "f": 15, "t": 34, "r": 43, "v": 60, "c": 73}, "is_reverse": false}} | 698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 13; f = i + 5; d = 3; p = b + 10; r = t + 9; v = r + 17; w = p + 2; y = d + 8; k = q + 5; q = y + 9; t = f + 19; i = d + 7; b = k + 17. If d = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = d + 7, which gives i = 10.\n2. Compute f using f = i + 5, which gives f = 15.\n3. Compute t using t = f + 19, which gives t = 34.\n4. Compute r using r = t + 9, which gives r = 43.\n5. Compute v using v = r + 17, which gives v = 60.\n6. Compute c using c = v + 13, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 698,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 13; f = i + 5; d = 3; p = b + 10; r = t + 9; v = r + 17; w = p + 2; y = d + 8; k = q + 5; q = y + 9; t = f + 19; i = d + 7; b = k + 17. If d = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 20", "h": "m + 12", "f": "h + 14", "a": "f + 15", "c": "a + 7", "k": "c + 1", "z": "i + 18", "d": "z + 1", "o": "d + 10", "w": "o + 6", "q": "w + 20", "x": "q + 9", "i": 2}, "premises": {"i": 2}, "target": "k"}, "answer": {"steps": [["m", "i + 20", 22], ["h", "m + 12", 34], ["f", "h + 14", 48], ["a", "f + 15", 63], ["c", "a + 7", 70], ["k", "c + 1", 71]], "target_var_name": "k", "target_value": 71, "value_dict": {"i": 2, "m": 22, "h": 34, "f": 48, "a": 63, "c": 70, "k": 71}, "is_reverse": false}} | 699 | 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 = i + 20; h = m + 12; a = f + 15; q = w + 20; c = a + 7; o = d + 10; x = q + 9; f = h + 14; i = 2; w = o + 6; d = z + 1; k = c + 1; z = i + 18. If i = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = i + 20, which gives m = 22.\n2. Compute h using h = m + 12, which gives h = 34.\n3. Compute f using f = h + 14, which gives f = 48.\n4. Compute a using a = f + 15, which gives a = 63.\n5. Compute c using c = a + 7, which gives c = 70.\n6. Compute k using k = c + 1, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 699,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 20; h = m + 12; a = f + 15; q = w + 20; c = a + 7; o = d + 10; x = q + 9; f = h + 14; i = 2; w = o + 6; d = z + 1; k = c + 1; z = i + 18. If i = 2, what is the resulting value of k?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.