meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"j": "m + 13", "f": "j + 8", "a": "f + 19", "t": "a + 9", "n": "t + 3", "l": "n + 19", "o": "m + 19", "v": "o + 8", "p": "v + 5", "d": "p + 10", "x": "d + 16", "e": "x + 3", "m": 7}, "premises": {"m": 7}, "target": "l"}, "answer": {"steps": [["n", "t + 3", "t + 22"], ["t", "a + 9", "a + 31"], ["a", "f + 19", "f + 50"], ["f", "j + 8", "j + 58"], ["j", "m + 13", "m + 71"], ["m", 7, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"m": 7}, "is_reverse": true}} | 10,800 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 10; e = x + 3; v = o + 8; o = m + 19; l = n + 19; x = d + 16; f = j + 8; n = t + 3; m = 7; p = v + 5; j = m + 13; a = f + 19; t = a + 9. If m = 7, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 3 to l, which gives l = t + 22.\n2. Substitute t = a + 9 to l, which gives l = a + 31.\n3. Substitute a = f + 19 to l, which gives l = f + 50.\n4. Substitute f = j + 8 to l, which gives l = j + 58.\n5. Substitute j = m + 13 to l, which gives l = m + 71.\n6. Substitute m = 7 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 10800,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 10; e = x + 3; v = o + 8; o = m + 19; l = n + 19; x = d + 16; f = j + 8; n = t + 3; m = 7; p = v + 5; j = m + 13; a = f + 19; t = a + 9. If m = 7, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 14", "c": "m + 13", "r": "c + 5", "a": "r + 15", "n": "a + 17", "s": "n + 4", "b": "f + 9", "l": "b + 5", "p": "l + 3", "e": "p + 5", "x": "e + 13", "g": "x + 11", "f": 9}, "premises": {"f": 9}, "target": "s"}, "answer": {"steps": [["n", "a + 17", "a + 21"], ["a", "r + 15", "r + 36"], ["r", "c + 5", "c + 41"], ["c", "m + 13", "m + 54"], ["m", "f + 14", "f + 68"], ["f", 9, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"f": 9}, "is_reverse": true}} | 10,801 | 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 = e + 13; f = 9; c = m + 13; l = b + 5; e = p + 5; n = a + 17; b = f + 9; m = f + 14; s = n + 4; a = r + 15; p = l + 3; r = c + 5; g = x + 11. If f = 9, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 17 to s, which gives s = a + 21.\n2. Substitute a = r + 15 to s, which gives s = r + 36.\n3. Substitute r = c + 5 to s, which gives s = c + 41.\n4. Substitute c = m + 13 to s, which gives s = m + 54.\n5. Substitute m = f + 14 to s, which gives s = f + 68.\n6. Substitute f = 9 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 10801,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 13; f = 9; c = m + 13; l = b + 5; e = p + 5; n = a + 17; b = f + 9; m = f + 14; s = n + 4; a = r + 15; p = l + 3; r = c + 5; g = x + 11. If f = 9, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"c": "t + 2", "p": "c + 14", "z": "p + 5", "j": "z + 18", "r": "j + 7", "i": "r + 13", "l": "t + 14", "n": "l + 9", "f": "n + 9", "q": "f + 4", "w": "q + 18", "d": "w + 14", "t": 9}, "premises": {"t": 9}, "target": "i"}, "answer": {"steps": [["r", "j + 7", "j + 20"], ["j", "z + 18", "z + 38"], ["z", "p + 5", "p + 43"], ["p", "c + 14", "c + 57"], ["c", "t + 2", "t + 59"], ["t", 9, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"t": 9}, "is_reverse": true}} | 10,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 4; f = n + 9; l = t + 14; d = w + 14; t = 9; i = r + 13; p = c + 14; n = l + 9; c = t + 2; j = z + 18; r = j + 7; w = q + 18; z = p + 5. Given that t = 9, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 7 to i, which gives i = j + 20.\n2. Substitute j = z + 18 to i, which gives i = z + 38.\n3. Substitute z = p + 5 to i, which gives i = p + 43.\n4. Substitute p = c + 14 to i, which gives i = c + 57.\n5. Substitute c = t + 2 to i, which gives i = t + 59.\n6. Substitute t = 9 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 10802,
"question": "Suppose a collection of variables is related by the following definitions: q = f + 4; f = n + 9; l = t + 14; d = w + 14; t = 9; i = r + 13; p = c + 14; n = l + 9; c = t + 2; j = z + 18; r = j + 7; w = q + 18; z = p + 5. Given that t = 9, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 1", "l": "n + 1", "h": "l + 19", "g": "h + 3", "m": "g + 10", "e": "m + 17", "z": "v + 16", "c": "z + 3", "w": "c + 16", "t": "w + 11", "j": "t + 14", "d": "j + 10", "v": 6}, "premises": {"v": 6}, "target": "e"}, "answer": {"steps": [["m", "g + 10", "g + 27"], ["g", "h + 3", "h + 30"], ["h", "l + 19", "l + 49"], ["l", "n + 1", "n + 50"], ["n", "v + 1", "v + 51"], ["v", 6, "57"]], "target_var_name": "e", "target_value": 57, "value_dict": {"v": 6}, "is_reverse": true}} | 10,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 1; c = z + 3; w = c + 16; h = l + 19; e = m + 17; n = v + 1; v = 6; g = h + 3; j = t + 14; d = j + 10; t = w + 11; z = v + 16; m = g + 10. If v = 6, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 10 to e, which gives e = g + 27.\n2. Substitute g = h + 3 to e, which gives e = h + 30.\n3. Substitute h = l + 19 to e, which gives e = l + 49.\n4. Substitute l = n + 1 to e, which gives e = n + 50.\n5. Substitute n = v + 1 to e, which gives e = v + 51.\n6. Substitute v = 6 to e, which gives e = 57.\n\nThus, the final answer is e = \\boxed{57}.",
"index": 10803,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 1; c = z + 3; w = c + 16; h = l + 19; e = m + 17; n = v + 1; v = 6; g = h + 3; j = t + 14; d = j + 10; t = w + 11; z = v + 16; m = g + 10. If v = 6, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 11", "t": "x + 12", "a": "t + 19", "f": "a + 1", "y": "f + 16", "g": "y + 16", "w": "q + 5", "u": "w + 5", "o": "u + 11", "l": "o + 20", "b": "l + 13", "n": "b + 14", "q": 12}, "premises": {"q": 12}, "target": "g"}, "answer": {"steps": [["y", "f + 16", "f + 32"], ["f", "a + 1", "a + 33"], ["a", "t + 19", "t + 52"], ["t", "x + 12", "x + 64"], ["x", "q + 11", "q + 75"], ["q", 12, "87"]], "target_var_name": "g", "target_value": 87, "value_dict": {"q": 12}, "is_reverse": true}} | 10,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 12; o = u + 11; w = q + 5; b = l + 13; a = t + 19; g = y + 16; l = o + 20; u = w + 5; y = f + 16; x = q + 11; t = x + 12; n = b + 14; f = a + 1. If q = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 16 to g, which gives g = f + 32.\n2. Substitute f = a + 1 to g, which gives g = a + 33.\n3. Substitute a = t + 19 to g, which gives g = t + 52.\n4. Substitute t = x + 12 to g, which gives g = x + 64.\n5. Substitute x = q + 11 to g, which gives g = q + 75.\n6. Substitute q = 12 to g, which gives g = 87.\n\nThus, the final answer is g = \\boxed{87}.",
"index": 10804,
"question": "Consider a system of variables where each variable is defined as follows: q = 12; o = u + 11; w = q + 5; b = l + 13; a = t + 19; g = y + 16; l = o + 20; u = w + 5; y = f + 16; x = q + 11; t = x + 12; n = b + 14; f = a + 1. If q = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"r": "v + 3", "d": "r + 4", "z": "d + 9", "x": "z + 8", "n": "x + 8", "y": "n + 15", "j": "v + 20", "h": "j + 10", "e": "h + 20", "l": "e + 15", "c": "l + 13", "f": "c + 16", "v": 18}, "premises": {"v": 18}, "target": "y"}, "answer": {"steps": [["n", "x + 8", "x + 23"], ["x", "z + 8", "z + 31"], ["z", "d + 9", "d + 40"], ["d", "r + 4", "r + 44"], ["r", "v + 3", "v + 47"], ["v", 18, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"v": 18}, "is_reverse": true}} | 10,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 13; y = n + 15; l = e + 15; j = v + 20; r = v + 3; e = h + 20; f = c + 16; x = z + 8; h = j + 10; n = x + 8; v = 18; d = r + 4; z = d + 9. If v = 18, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = x + 8 to y, which gives y = x + 23.\n2. Substitute x = z + 8 to y, which gives y = z + 31.\n3. Substitute z = d + 9 to y, which gives y = d + 40.\n4. Substitute d = r + 4 to y, which gives y = r + 44.\n5. Substitute r = v + 3 to y, which gives y = v + 47.\n6. Substitute v = 18 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 10805,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 13; y = n + 15; l = e + 15; j = v + 20; r = v + 3; e = h + 20; f = c + 16; x = z + 8; h = j + 10; n = x + 8; v = 18; d = r + 4; z = d + 9. If v = 18, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 20", "x": "m + 6", "f": "x + 1", "k": "f + 1", "u": "k + 2", "l": "u + 20", "y": "h + 20", "j": "y + 18", "g": "j + 9", "t": "g + 12", "d": "t + 11", "v": "d + 10", "h": 7}, "premises": {"h": 7}, "target": "l"}, "answer": {"steps": [["u", "k + 2", "k + 22"], ["k", "f + 1", "f + 23"], ["f", "x + 1", "x + 24"], ["x", "m + 6", "m + 30"], ["m", "h + 20", "h + 50"], ["h", 7, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"h": 7}, "is_reverse": true}} | 10,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 18; y = h + 20; k = f + 1; l = u + 20; v = d + 10; u = k + 2; f = x + 1; m = h + 20; h = 7; g = j + 9; t = g + 12; d = t + 11; x = m + 6. Given that h = 7, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 2 to l, which gives l = k + 22.\n2. Substitute k = f + 1 to l, which gives l = f + 23.\n3. Substitute f = x + 1 to l, which gives l = x + 24.\n4. Substitute x = m + 6 to l, which gives l = m + 30.\n5. Substitute m = h + 20 to l, which gives l = h + 50.\n6. Substitute h = 7 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 10806,
"question": "Suppose a collection of variables is related by the following definitions: j = y + 18; y = h + 20; k = f + 1; l = u + 20; v = d + 10; u = k + 2; f = x + 1; m = h + 20; h = 7; g = j + 9; t = g + 12; d = t + 11; x = m + 6. Given that h = 7, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 9", "j": "w + 11", "s": "j + 10", "l": "s + 12", "b": "l + 6", "g": "b + 17", "z": "d + 9", "m": "z + 5", "a": "m + 13", "e": "a + 2", "h": "e + 3", "n": "h + 18", "d": 15}, "premises": {"d": 15}, "target": "g"}, "answer": {"steps": [["b", "l + 6", "l + 23"], ["l", "s + 12", "s + 35"], ["s", "j + 10", "j + 45"], ["j", "w + 11", "w + 56"], ["w", "d + 9", "d + 65"], ["d", 15, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"d": 15}, "is_reverse": true}} | 10,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 9; j = w + 11; s = j + 10; a = m + 13; h = e + 3; l = s + 12; n = h + 18; b = l + 6; g = b + 17; w = d + 9; d = 15; e = a + 2; m = z + 5. If d = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 6 to g, which gives g = l + 23.\n2. Substitute l = s + 12 to g, which gives g = s + 35.\n3. Substitute s = j + 10 to g, which gives g = j + 45.\n4. Substitute j = w + 11 to g, which gives g = w + 56.\n5. Substitute w = d + 9 to g, which gives g = d + 65.\n6. Substitute d = 15 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 10807,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 9; j = w + 11; s = j + 10; a = m + 13; h = e + 3; l = s + 12; n = h + 18; b = l + 6; g = b + 17; w = d + 9; d = 15; e = a + 2; m = z + 5. If d = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 3", "k": "n + 2", "s": "k + 1", "g": "s + 18", "x": "g + 7", "e": "x + 11", "c": "b + 17", "i": "c + 7", "z": "i + 17", "a": "z + 10", "j": "a + 11", "p": "j + 6", "b": 10}, "premises": {"b": 10}, "target": "e"}, "answer": {"steps": [["x", "g + 7", "g + 18"], ["g", "s + 18", "s + 36"], ["s", "k + 1", "k + 37"], ["k", "n + 2", "n + 39"], ["n", "b + 3", "b + 42"], ["b", 10, "52"]], "target_var_name": "e", "target_value": 52, "value_dict": {"b": 10}, "is_reverse": true}} | 10,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 17; b = 10; g = s + 18; x = g + 7; k = n + 2; i = c + 7; s = k + 1; e = x + 11; n = b + 3; p = j + 6; a = z + 10; j = a + 11; z = i + 17. If b = 10, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 7 to e, which gives e = g + 18.\n2. Substitute g = s + 18 to e, which gives e = s + 36.\n3. Substitute s = k + 1 to e, which gives e = k + 37.\n4. Substitute k = n + 2 to e, which gives e = n + 39.\n5. Substitute n = b + 3 to e, which gives e = b + 42.\n6. Substitute b = 10 to e, which gives e = 52.\n\nThus, the final answer is e = \\boxed{52}.",
"index": 10808,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 17; b = 10; g = s + 18; x = g + 7; k = n + 2; i = c + 7; s = k + 1; e = x + 11; n = b + 3; p = j + 6; a = z + 10; j = a + 11; z = i + 17. If b = 10, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 19", "y": "s + 13", "j": "y + 4", "p": "j + 19", "w": "p + 9", "d": "w + 4", "x": "n + 7", "o": "x + 19", "l": "o + 6", "b": "l + 9", "i": "b + 4", "f": "i + 19", "n": 12}, "premises": {"n": 12}, "target": "d"}, "answer": {"steps": [["w", "p + 9", "p + 13"], ["p", "j + 19", "j + 32"], ["j", "y + 4", "y + 36"], ["y", "s + 13", "s + 49"], ["s", "n + 19", "n + 68"], ["n", 12, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"n": 12}, "is_reverse": true}} | 10,809 | 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 = y + 4; i = b + 4; o = x + 19; b = l + 9; y = s + 13; d = w + 4; x = n + 7; f = i + 19; p = j + 19; w = p + 9; s = n + 19; n = 12; l = o + 6. If n = 12, what is the resulting 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. Substitute w = p + 9 to d, which gives d = p + 13.\n2. Substitute p = j + 19 to d, which gives d = j + 32.\n3. Substitute j = y + 4 to d, which gives d = y + 36.\n4. Substitute y = s + 13 to d, which gives d = s + 49.\n5. Substitute s = n + 19 to d, which gives d = n + 68.\n6. Substitute n = 12 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 10809,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = y + 4; i = b + 4; o = x + 19; b = l + 9; y = s + 13; d = w + 4; x = n + 7; f = i + 19; p = j + 19; w = p + 9; s = n + 19; n = 12; l = o + 6. If n = 12, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"d": "j + 9", "e": "d + 1", "o": "e + 3", "m": "o + 4", "f": "m + 11", "v": "f + 9", "x": "j + 3", "k": "x + 19", "u": "k + 8", "w": "u + 15", "c": "w + 6", "p": "c + 15", "j": 17}, "premises": {"j": 17}, "target": "v"}, "answer": {"steps": [["f", "m + 11", "m + 20"], ["m", "o + 4", "o + 24"], ["o", "e + 3", "e + 27"], ["e", "d + 1", "d + 28"], ["d", "j + 9", "j + 37"], ["j", 17, "54"]], "target_var_name": "v", "target_value": 54, "value_dict": {"j": 17}, "is_reverse": true}} | 10,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = d + 1; w = u + 15; d = j + 9; p = c + 15; v = f + 9; u = k + 8; x = j + 3; f = m + 11; c = w + 6; m = o + 4; j = 17; k = x + 19; o = e + 3. If j = 17, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = m + 11 to v, which gives v = m + 20.\n2. Substitute m = o + 4 to v, which gives v = o + 24.\n3. Substitute o = e + 3 to v, which gives v = e + 27.\n4. Substitute e = d + 1 to v, which gives v = d + 28.\n5. Substitute d = j + 9 to v, which gives v = j + 37.\n6. Substitute j = 17 to v, which gives v = 54.\n\nThus, the final answer is v = \\boxed{54}.",
"index": 10810,
"question": "Consider a system of variables where each variable is defined as follows: e = d + 1; w = u + 15; d = j + 9; p = c + 15; v = f + 9; u = k + 8; x = j + 3; f = m + 11; c = w + 6; m = o + 4; j = 17; k = x + 19; o = e + 3. If j = 17, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 9", "b": "o + 18", "f": "b + 17", "s": "f + 16", "y": "s + 3", "h": "y + 2", "w": "g + 16", "q": "w + 20", "l": "q + 3", "a": "l + 15", "z": "a + 5", "d": "z + 9", "g": 12}, "premises": {"g": 12}, "target": "h"}, "answer": {"steps": [["y", "s + 3", "s + 5"], ["s", "f + 16", "f + 21"], ["f", "b + 17", "b + 38"], ["b", "o + 18", "o + 56"], ["o", "g + 9", "g + 65"], ["g", 12, "77"]], "target_var_name": "h", "target_value": 77, "value_dict": {"g": 12}, "is_reverse": true}} | 10,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 3; h = y + 2; d = z + 9; w = g + 16; y = s + 3; q = w + 20; b = o + 18; s = f + 16; a = l + 15; f = b + 17; o = g + 9; g = 12; z = a + 5. If g = 12, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 3 to h, which gives h = s + 5.\n2. Substitute s = f + 16 to h, which gives h = f + 21.\n3. Substitute f = b + 17 to h, which gives h = b + 38.\n4. Substitute b = o + 18 to h, which gives h = o + 56.\n5. Substitute o = g + 9 to h, which gives h = g + 65.\n6. Substitute g = 12 to h, which gives h = 77.\n\nThus, the final answer is h = \\boxed{77}.",
"index": 10811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 3; h = y + 2; d = z + 9; w = g + 16; y = s + 3; q = w + 20; b = o + 18; s = f + 16; a = l + 15; f = b + 17; o = g + 9; g = 12; z = a + 5. If g = 12, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"a": "l + 17", "e": "a + 19", "q": "e + 20", "p": "q + 13", "m": "p + 20", "n": "m + 17", "k": "l + 17", "w": "k + 3", "g": "w + 11", "s": "g + 15", "d": "s + 2", "t": "d + 10", "l": 14}, "premises": {"l": 14}, "target": "n"}, "answer": {"steps": [["m", "p + 20", "p + 37"], ["p", "q + 13", "q + 50"], ["q", "e + 20", "e + 70"], ["e", "a + 19", "a + 89"], ["a", "l + 17", "l + 106"], ["l", 14, "120"]], "target_var_name": "n", "target_value": 120, "value_dict": {"l": 14}, "is_reverse": true}} | 10,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = a + 19; n = m + 17; m = p + 20; a = l + 17; p = q + 13; q = e + 20; s = g + 15; k = l + 17; l = 14; w = k + 3; g = w + 11; d = s + 2; t = d + 10. Given that l = 14, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 120,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 20 to n, which gives n = p + 37.\n2. Substitute p = q + 13 to n, which gives n = q + 50.\n3. Substitute q = e + 20 to n, which gives n = e + 70.\n4. Substitute e = a + 19 to n, which gives n = a + 89.\n5. Substitute a = l + 17 to n, which gives n = l + 106.\n6. Substitute l = 14 to n, which gives n = 120.\n\nThus, the final answer is n = \\boxed{120}.",
"index": 10812,
"question": "Suppose a collection of variables is related by the following definitions: e = a + 19; n = m + 17; m = p + 20; a = l + 17; p = q + 13; q = e + 20; s = g + 15; k = l + 17; l = 14; w = k + 3; g = w + 11; d = s + 2; t = d + 10. Given that l = 14, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 9", "e": "v + 10", "w": "e + 12", "m": "w + 6", "n": "m + 11", "z": "n + 7", "p": "o + 4", "q": "p + 2", "a": "q + 9", "b": "a + 7", "h": "b + 13", "i": "h + 9", "o": 2}, "premises": {"o": 2}, "target": "z"}, "answer": {"steps": [["n", "m + 11", "m + 18"], ["m", "w + 6", "w + 24"], ["w", "e + 12", "e + 36"], ["e", "v + 10", "v + 46"], ["v", "o + 9", "o + 55"], ["o", 2, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"o": 2}, "is_reverse": true}} | 10,813 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 13; q = p + 2; w = e + 12; b = a + 7; v = o + 9; m = w + 6; a = q + 9; o = 2; n = m + 11; i = h + 9; p = o + 4; e = v + 10; z = n + 7. Given that o = 2, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 11 to z, which gives z = m + 18.\n2. Substitute m = w + 6 to z, which gives z = w + 24.\n3. Substitute w = e + 12 to z, which gives z = e + 36.\n4. Substitute e = v + 10 to z, which gives z = v + 46.\n5. Substitute v = o + 9 to z, which gives z = o + 55.\n6. Substitute o = 2 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 10813,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 13; q = p + 2; w = e + 12; b = a + 7; v = o + 9; m = w + 6; a = q + 9; o = 2; n = m + 11; i = h + 9; p = o + 4; e = v + 10; z = n + 7. Given that o = 2, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 9", "i": "x + 9", "t": "i + 3", "m": "t + 17", "c": "m + 11", "y": "c + 10", "k": "f + 4", "h": "k + 7", "g": "h + 20", "l": "g + 10", "s": "l + 10", "d": "s + 1", "f": 8}, "premises": {"f": 8}, "target": "y"}, "answer": {"steps": [["c", "m + 11", "m + 21"], ["m", "t + 17", "t + 38"], ["t", "i + 3", "i + 41"], ["i", "x + 9", "x + 50"], ["x", "f + 9", "f + 59"], ["f", 8, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"f": 8}, "is_reverse": true}} | 10,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 20; d = s + 1; s = l + 10; l = g + 10; m = t + 17; f = 8; k = f + 4; y = c + 10; i = x + 9; c = m + 11; t = i + 3; x = f + 9; h = k + 7. If f = 8, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 11 to y, which gives y = m + 21.\n2. Substitute m = t + 17 to y, which gives y = t + 38.\n3. Substitute t = i + 3 to y, which gives y = i + 41.\n4. Substitute i = x + 9 to y, which gives y = x + 50.\n5. Substitute x = f + 9 to y, which gives y = f + 59.\n6. Substitute f = 8 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 10814,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 20; d = s + 1; s = l + 10; l = g + 10; m = t + 17; f = 8; k = f + 4; y = c + 10; i = x + 9; c = m + 11; t = i + 3; x = f + 9; h = k + 7. If f = 8, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 14", "z": "h + 14", "a": "z + 5", "g": "a + 13", "u": "g + 1", "q": "u + 7", "f": "s + 12", "t": "f + 7", "v": "t + 20", "n": "v + 20", "j": "n + 3", "y": "j + 16", "s": 1}, "premises": {"s": 1}, "target": "q"}, "answer": {"steps": [["u", "g + 1", "g + 8"], ["g", "a + 13", "a + 21"], ["a", "z + 5", "z + 26"], ["z", "h + 14", "h + 40"], ["h", "s + 14", "s + 54"], ["s", 1, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"s": 1}, "is_reverse": true}} | 10,815 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 14; g = a + 13; n = v + 20; v = t + 20; a = z + 5; z = h + 14; s = 1; y = j + 16; q = u + 7; t = f + 7; u = g + 1; f = s + 12; j = n + 3. If s = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 1 to q, which gives q = g + 8.\n2. Substitute g = a + 13 to q, which gives q = a + 21.\n3. Substitute a = z + 5 to q, which gives q = z + 26.\n4. Substitute z = h + 14 to q, which gives q = h + 40.\n5. Substitute h = s + 14 to q, which gives q = s + 54.\n6. Substitute s = 1 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 10815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 14; g = a + 13; n = v + 20; v = t + 20; a = z + 5; z = h + 14; s = 1; y = j + 16; q = u + 7; t = f + 7; u = g + 1; f = s + 12; j = n + 3. If s = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 18", "e": "f + 4", "b": "e + 3", "h": "b + 17", "r": "h + 16", "i": "r + 6", "v": "x + 7", "t": "v + 16", "q": "t + 16", "g": "q + 18", "y": "g + 5", "u": "y + 9", "x": 9}, "premises": {"x": 9}, "target": "i"}, "answer": {"steps": [["r", "h + 16", "h + 22"], ["h", "b + 17", "b + 39"], ["b", "e + 3", "e + 42"], ["e", "f + 4", "f + 46"], ["f", "x + 18", "x + 64"], ["x", 9, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"x": 9}, "is_reverse": true}} | 10,816 | 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 + 6; e = f + 4; g = q + 18; y = g + 5; q = t + 16; h = b + 17; b = e + 3; r = h + 16; u = y + 9; v = x + 7; f = x + 18; x = 9; t = v + 16. If x = 9, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 16 to i, which gives i = h + 22.\n2. Substitute h = b + 17 to i, which gives i = b + 39.\n3. Substitute b = e + 3 to i, which gives i = e + 42.\n4. Substitute e = f + 4 to i, which gives i = f + 46.\n5. Substitute f = x + 18 to i, which gives i = x + 64.\n6. Substitute x = 9 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 10816,
"question": "Consider a system of variables where each variable is defined as follows: i = r + 6; e = f + 4; g = q + 18; y = g + 5; q = t + 16; h = b + 17; b = e + 3; r = h + 16; u = y + 9; v = x + 7; f = x + 18; x = 9; t = v + 16. If x = 9, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 14", "m": "g + 4", "b": "m + 3", "f": "b + 5", "x": "f + 20", "k": "x + 2", "n": "q + 13", "t": "n + 11", "w": "t + 18", "c": "w + 5", "u": "c + 2", "i": "u + 15", "q": 3}, "premises": {"q": 3}, "target": "k"}, "answer": {"steps": [["x", "f + 20", "f + 22"], ["f", "b + 5", "b + 27"], ["b", "m + 3", "m + 30"], ["m", "g + 4", "g + 34"], ["g", "q + 14", "q + 48"], ["q", 3, "51"]], "target_var_name": "k", "target_value": 51, "value_dict": {"q": 3}, "is_reverse": true}} | 10,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 11; k = x + 2; i = u + 15; w = t + 18; m = g + 4; u = c + 2; g = q + 14; b = m + 3; x = f + 20; q = 3; n = q + 13; c = w + 5; f = b + 5. Given that q = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 20 to k, which gives k = f + 22.\n2. Substitute f = b + 5 to k, which gives k = b + 27.\n3. Substitute b = m + 3 to k, which gives k = m + 30.\n4. Substitute m = g + 4 to k, which gives k = g + 34.\n5. Substitute g = q + 14 to k, which gives k = q + 48.\n6. Substitute q = 3 to k, which gives k = 51.\n\nThus, the final answer is k = \\boxed{51}.",
"index": 10817,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 11; k = x + 2; i = u + 15; w = t + 18; m = g + 4; u = c + 2; g = q + 14; b = m + 3; x = f + 20; q = 3; n = q + 13; c = w + 5; f = b + 5. Given that q = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 13", "a": "r + 4", "p": "a + 7", "q": "p + 17", "c": "q + 3", "t": "c + 9", "h": "g + 19", "j": "h + 12", "k": "j + 10", "u": "k + 20", "b": "u + 7", "s": "b + 10", "g": 2}, "premises": {"g": 2}, "target": "t"}, "answer": {"steps": [["c", "q + 3", "q + 12"], ["q", "p + 17", "p + 29"], ["p", "a + 7", "a + 36"], ["a", "r + 4", "r + 40"], ["r", "g + 13", "g + 53"], ["g", 2, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"g": 2}, "is_reverse": true}} | 10,818 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 9; a = r + 4; h = g + 19; c = q + 3; j = h + 12; k = j + 10; g = 2; s = b + 10; u = k + 20; r = g + 13; b = u + 7; q = p + 17; p = a + 7. If g = 2, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 3 to t, which gives t = q + 12.\n2. Substitute q = p + 17 to t, which gives t = p + 29.\n3. Substitute p = a + 7 to t, which gives t = a + 36.\n4. Substitute a = r + 4 to t, which gives t = r + 40.\n5. Substitute r = g + 13 to t, which gives t = g + 53.\n6. Substitute g = 2 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 10818,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 9; a = r + 4; h = g + 19; c = q + 3; j = h + 12; k = j + 10; g = 2; s = b + 10; u = k + 20; r = g + 13; b = u + 7; q = p + 17; p = a + 7. If g = 2, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 12", "m": "x + 14", "e": "m + 10", "h": "e + 17", "a": "h + 7", "s": "a + 8", "w": "n + 12", "p": "w + 3", "f": "p + 15", "k": "f + 16", "t": "k + 13", "l": "t + 15", "n": 1}, "premises": {"n": 1}, "target": "s"}, "answer": {"steps": [["a", "h + 7", "h + 15"], ["h", "e + 17", "e + 32"], ["e", "m + 10", "m + 42"], ["m", "x + 14", "x + 56"], ["x", "n + 12", "n + 68"], ["n", 1, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"n": 1}, "is_reverse": true}} | 10,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = m + 10; t = k + 13; l = t + 15; w = n + 12; x = n + 12; a = h + 7; f = p + 15; k = f + 16; s = a + 8; p = w + 3; h = e + 17; m = x + 14; n = 1. Given that n = 1, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 7 to s, which gives s = h + 15.\n2. Substitute h = e + 17 to s, which gives s = e + 32.\n3. Substitute e = m + 10 to s, which gives s = m + 42.\n4. Substitute m = x + 14 to s, which gives s = x + 56.\n5. Substitute x = n + 12 to s, which gives s = n + 68.\n6. Substitute n = 1 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 10819,
"question": "Suppose a collection of variables is related by the following definitions: e = m + 10; t = k + 13; l = t + 15; w = n + 12; x = n + 12; a = h + 7; f = p + 15; k = f + 16; s = a + 8; p = w + 3; h = e + 17; m = x + 14; n = 1. Given that n = 1, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 11", "t": "w + 1", "y": "t + 7", "q": "y + 4", "u": "q + 7", "o": "u + 8", "x": "i + 16", "d": "x + 6", "k": "d + 8", "b": "k + 5", "h": "b + 8", "s": "h + 11", "i": 5}, "premises": {"i": 5}, "target": "o"}, "answer": {"steps": [["u", "q + 7", "q + 15"], ["q", "y + 4", "y + 19"], ["y", "t + 7", "t + 26"], ["t", "w + 1", "w + 27"], ["w", "i + 11", "i + 38"], ["i", 5, "43"]], "target_var_name": "o", "target_value": 43, "value_dict": {"i": 5}, "is_reverse": true}} | 10,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = b + 8; w = i + 11; s = h + 11; x = i + 16; b = k + 5; y = t + 7; o = u + 8; u = q + 7; q = y + 4; t = w + 1; i = 5; d = x + 6; k = d + 8. Given that i = 5, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 7 to o, which gives o = q + 15.\n2. Substitute q = y + 4 to o, which gives o = y + 19.\n3. Substitute y = t + 7 to o, which gives o = t + 26.\n4. Substitute t = w + 1 to o, which gives o = w + 27.\n5. Substitute w = i + 11 to o, which gives o = i + 38.\n6. Substitute i = 5 to o, which gives o = 43.\n\nThus, the final answer is o = \\boxed{43}.",
"index": 10820,
"question": "Suppose a collection of variables is related by the following definitions: h = b + 8; w = i + 11; s = h + 11; x = i + 16; b = k + 5; y = t + 7; o = u + 8; u = q + 7; q = y + 4; t = w + 1; i = 5; d = x + 6; k = d + 8. Given that i = 5, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 2", "z": "v + 10", "p": "z + 14", "e": "p + 19", "s": "e + 12", "u": "s + 10", "d": "j + 6", "m": "d + 17", "i": "m + 17", "y": "i + 5", "h": "y + 1", "t": "h + 9", "j": 8}, "premises": {"j": 8}, "target": "u"}, "answer": {"steps": [["s", "e + 12", "e + 22"], ["e", "p + 19", "p + 41"], ["p", "z + 14", "z + 55"], ["z", "v + 10", "v + 65"], ["v", "j + 2", "j + 67"], ["j", 8, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"j": 8}, "is_reverse": true}} | 10,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 9; p = z + 14; i = m + 17; s = e + 12; z = v + 10; d = j + 6; e = p + 19; h = y + 1; u = s + 10; y = i + 5; v = j + 2; j = 8; m = d + 17. If j = 8, 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. Substitute s = e + 12 to u, which gives u = e + 22.\n2. Substitute e = p + 19 to u, which gives u = p + 41.\n3. Substitute p = z + 14 to u, which gives u = z + 55.\n4. Substitute z = v + 10 to u, which gives u = v + 65.\n5. Substitute v = j + 2 to u, which gives u = j + 67.\n6. Substitute j = 8 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 10821,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 9; p = z + 14; i = m + 17; s = e + 12; z = v + 10; d = j + 6; e = p + 19; h = y + 1; u = s + 10; y = i + 5; v = j + 2; j = 8; m = d + 17. If j = 8, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 14", "k": "m + 1", "t": "k + 18", "v": "t + 18", "h": "v + 5", "l": "h + 5", "j": "r + 11", "q": "j + 15", "d": "q + 11", "o": "d + 16", "g": "o + 13", "x": "g + 5", "r": 10}, "premises": {"r": 10}, "target": "l"}, "answer": {"steps": [["h", "v + 5", "v + 10"], ["v", "t + 18", "t + 28"], ["t", "k + 18", "k + 46"], ["k", "m + 1", "m + 47"], ["m", "r + 14", "r + 61"], ["r", 10, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"r": 10}, "is_reverse": true}} | 10,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = o + 13; x = g + 5; r = 10; v = t + 18; h = v + 5; m = r + 14; o = d + 16; t = k + 18; k = m + 1; d = q + 11; q = j + 15; l = h + 5; j = r + 11. Given that r = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 5 to l, which gives l = v + 10.\n2. Substitute v = t + 18 to l, which gives l = t + 28.\n3. Substitute t = k + 18 to l, which gives l = k + 46.\n4. Substitute k = m + 1 to l, which gives l = m + 47.\n5. Substitute m = r + 14 to l, which gives l = r + 61.\n6. Substitute r = 10 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 10822,
"question": "Suppose a collection of variables is related by the following definitions: g = o + 13; x = g + 5; r = 10; v = t + 18; h = v + 5; m = r + 14; o = d + 16; t = k + 18; k = m + 1; d = q + 11; q = j + 15; l = h + 5; j = r + 11. Given that r = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 5", "c": "u + 10", "b": "c + 5", "w": "b + 19", "q": "w + 20", "z": "q + 3", "d": "f + 6", "x": "d + 6", "r": "x + 1", "g": "r + 7", "v": "g + 2", "n": "v + 2", "f": 6}, "premises": {"f": 6}, "target": "z"}, "answer": {"steps": [["q", "w + 20", "w + 23"], ["w", "b + 19", "b + 42"], ["b", "c + 5", "c + 47"], ["c", "u + 10", "u + 57"], ["u", "f + 5", "f + 62"], ["f", 6, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"f": 6}, "is_reverse": true}} | 10,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = u + 10; r = x + 1; v = g + 2; f = 6; g = r + 7; n = v + 2; w = b + 19; b = c + 5; d = f + 6; u = f + 5; q = w + 20; z = q + 3; x = d + 6. If f = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 20 to z, which gives z = w + 23.\n2. Substitute w = b + 19 to z, which gives z = b + 42.\n3. Substitute b = c + 5 to z, which gives z = c + 47.\n4. Substitute c = u + 10 to z, which gives z = u + 57.\n5. Substitute u = f + 5 to z, which gives z = f + 62.\n6. Substitute f = 6 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 10823,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 10; r = x + 1; v = g + 2; f = 6; g = r + 7; n = v + 2; w = b + 19; b = c + 5; d = f + 6; u = f + 5; q = w + 20; z = q + 3; x = d + 6. If f = 6, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 1", "w": "p + 3", "e": "w + 7", "c": "e + 20", "u": "c + 7", "m": "u + 18", "h": "r + 8", "f": "h + 14", "d": "f + 20", "j": "d + 13", "t": "j + 4", "s": "t + 2", "r": 2}, "premises": {"r": 2}, "target": "m"}, "answer": {"steps": [["u", "c + 7", "c + 25"], ["c", "e + 20", "e + 45"], ["e", "w + 7", "w + 52"], ["w", "p + 3", "p + 55"], ["p", "r + 1", "r + 56"], ["r", 2, "58"]], "target_var_name": "m", "target_value": 58, "value_dict": {"r": 2}, "is_reverse": true}} | 10,824 | 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 = r + 8; p = r + 1; j = d + 13; f = h + 14; m = u + 18; d = f + 20; c = e + 20; w = p + 3; e = w + 7; r = 2; s = t + 2; t = j + 4; u = c + 7. If r = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 7 to m, which gives m = c + 25.\n2. Substitute c = e + 20 to m, which gives m = e + 45.\n3. Substitute e = w + 7 to m, which gives m = w + 52.\n4. Substitute w = p + 3 to m, which gives m = p + 55.\n5. Substitute p = r + 1 to m, which gives m = r + 56.\n6. Substitute r = 2 to m, which gives m = 58.\n\nThus, the final answer is m = \\boxed{58}.",
"index": 10824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = r + 8; p = r + 1; j = d + 13; f = h + 14; m = u + 18; d = f + 20; c = e + 20; w = p + 3; e = w + 7; r = 2; s = t + 2; t = j + 4; u = c + 7. If r = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 7", "h": "z + 18", "b": "h + 6", "j": "b + 8", "r": "j + 18", "s": "r + 1", "t": "v + 7", "u": "t + 20", "o": "u + 2", "a": "o + 15", "g": "a + 19", "x": "g + 10", "v": 3}, "premises": {"v": 3}, "target": "s"}, "answer": {"steps": [["r", "j + 18", "j + 19"], ["j", "b + 8", "b + 27"], ["b", "h + 6", "h + 33"], ["h", "z + 18", "z + 51"], ["z", "v + 7", "v + 58"], ["v", 3, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"v": 3}, "is_reverse": true}} | 10,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = v + 7; o = u + 2; x = g + 10; s = r + 1; b = h + 6; g = a + 19; a = o + 15; r = j + 18; z = v + 7; v = 3; u = t + 20; h = z + 18; j = b + 8. Given that v = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 18 to s, which gives s = j + 19.\n2. Substitute j = b + 8 to s, which gives s = b + 27.\n3. Substitute b = h + 6 to s, which gives s = h + 33.\n4. Substitute h = z + 18 to s, which gives s = z + 51.\n5. Substitute z = v + 7 to s, which gives s = v + 58.\n6. Substitute v = 3 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 10825,
"question": "Suppose a collection of variables is related by the following definitions: t = v + 7; o = u + 2; x = g + 10; s = r + 1; b = h + 6; g = a + 19; a = o + 15; r = j + 18; z = v + 7; v = 3; u = t + 20; h = z + 18; j = b + 8. Given that v = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 8", "f": "v + 18", "c": "f + 6", "i": "c + 14", "u": "i + 11", "g": "u + 4", "n": "k + 6", "x": "n + 16", "j": "x + 11", "b": "j + 11", "d": "b + 14", "w": "d + 16", "k": 15}, "premises": {"k": 15}, "target": "g"}, "answer": {"steps": [["u", "i + 11", "i + 15"], ["i", "c + 14", "c + 29"], ["c", "f + 6", "f + 35"], ["f", "v + 18", "v + 53"], ["v", "k + 8", "k + 61"], ["k", 15, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"k": 15}, "is_reverse": true}} | 10,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = b + 14; n = k + 6; w = d + 16; i = c + 14; b = j + 11; f = v + 18; j = x + 11; u = i + 11; x = n + 16; g = u + 4; k = 15; v = k + 8; c = f + 6. If k = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 11 to g, which gives g = i + 15.\n2. Substitute i = c + 14 to g, which gives g = c + 29.\n3. Substitute c = f + 6 to g, which gives g = f + 35.\n4. Substitute f = v + 18 to g, which gives g = v + 53.\n5. Substitute v = k + 8 to g, which gives g = k + 61.\n6. Substitute k = 15 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 10826,
"question": "Consider a system of variables where each variable is defined as follows: d = b + 14; n = k + 6; w = d + 16; i = c + 14; b = j + 11; f = v + 18; j = x + 11; u = i + 11; x = n + 16; g = u + 4; k = 15; v = k + 8; c = f + 6. If k = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 17", "i": "b + 3", "e": "i + 10", "o": "e + 3", "s": "o + 12", "c": "s + 16", "j": "k + 1", "w": "j + 3", "t": "w + 3", "h": "t + 3", "z": "h + 16", "f": "z + 14", "k": 14}, "premises": {"k": 14}, "target": "c"}, "answer": {"steps": [["s", "o + 12", "o + 28"], ["o", "e + 3", "e + 31"], ["e", "i + 10", "i + 41"], ["i", "b + 3", "b + 44"], ["b", "k + 17", "k + 61"], ["k", 14, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"k": 14}, "is_reverse": true}} | 10,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 3; e = i + 10; t = w + 3; c = s + 16; i = b + 3; z = h + 16; s = o + 12; j = k + 1; h = t + 3; o = e + 3; k = 14; b = k + 17; f = z + 14. Given that k = 14, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 12 to c, which gives c = o + 28.\n2. Substitute o = e + 3 to c, which gives c = e + 31.\n3. Substitute e = i + 10 to c, which gives c = i + 41.\n4. Substitute i = b + 3 to c, which gives c = b + 44.\n5. Substitute b = k + 17 to c, which gives c = k + 61.\n6. Substitute k = 14 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 10827,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 3; e = i + 10; t = w + 3; c = s + 16; i = b + 3; z = h + 16; s = o + 12; j = k + 1; h = t + 3; o = e + 3; k = 14; b = k + 17; f = z + 14. Given that k = 14, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 19", "x": "o + 14", "z": "x + 1", "l": "z + 4", "y": "l + 1", "p": "y + 7", "t": "s + 14", "a": "t + 6", "i": "a + 11", "k": "i + 19", "c": "k + 2", "h": "c + 20", "s": 2}, "premises": {"s": 2}, "target": "p"}, "answer": {"steps": [["y", "l + 1", "l + 8"], ["l", "z + 4", "z + 12"], ["z", "x + 1", "x + 13"], ["x", "o + 14", "o + 27"], ["o", "s + 19", "s + 46"], ["s", 2, "48"]], "target_var_name": "p", "target_value": 48, "value_dict": {"s": 2}, "is_reverse": true}} | 10,828 | 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; t = s + 14; c = k + 2; y = l + 1; k = i + 19; l = z + 4; i = a + 11; a = t + 6; o = s + 19; z = x + 1; s = 2; x = o + 14; p = y + 7. If s = 2, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 1 to p, which gives p = l + 8.\n2. Substitute l = z + 4 to p, which gives p = z + 12.\n3. Substitute z = x + 1 to p, which gives p = x + 13.\n4. Substitute x = o + 14 to p, which gives p = o + 27.\n5. Substitute o = s + 19 to p, which gives p = s + 46.\n6. Substitute s = 2 to p, which gives p = 48.\n\nThus, the final answer is p = \\boxed{48}.",
"index": 10828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 20; t = s + 14; c = k + 2; y = l + 1; k = i + 19; l = z + 4; i = a + 11; a = t + 6; o = s + 19; z = x + 1; s = 2; x = o + 14; p = y + 7. If s = 2, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 2", "t": "x + 9", "r": "t + 15", "c": "r + 14", "e": "c + 6", "l": "e + 16", "w": "g + 3", "j": "w + 14", "z": "j + 7", "i": "z + 16", "m": "i + 13", "f": "m + 8", "g": 17}, "premises": {"g": 17}, "target": "l"}, "answer": {"steps": [["e", "c + 6", "c + 22"], ["c", "r + 14", "r + 36"], ["r", "t + 15", "t + 51"], ["t", "x + 9", "x + 60"], ["x", "g + 2", "g + 62"], ["g", 17, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"g": 17}, "is_reverse": true}} | 10,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 15; f = m + 8; e = c + 6; w = g + 3; t = x + 9; c = r + 14; i = z + 16; x = g + 2; j = w + 14; g = 17; l = e + 16; z = j + 7; m = i + 13. Given that g = 17, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 6 to l, which gives l = c + 22.\n2. Substitute c = r + 14 to l, which gives l = r + 36.\n3. Substitute r = t + 15 to l, which gives l = t + 51.\n4. Substitute t = x + 9 to l, which gives l = x + 60.\n5. Substitute x = g + 2 to l, which gives l = g + 62.\n6. Substitute g = 17 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 10829,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 15; f = m + 8; e = c + 6; w = g + 3; t = x + 9; c = r + 14; i = z + 16; x = g + 2; j = w + 14; g = 17; l = e + 16; z = j + 7; m = i + 13. Given that g = 17, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 3", "c": "q + 14", "h": "c + 5", "v": "h + 14", "w": "v + 12", "l": "w + 8", "m": "d + 12", "e": "m + 4", "g": "e + 1", "x": "g + 10", "p": "x + 15", "f": "p + 20", "d": 16}, "premises": {"d": 16}, "target": "l"}, "answer": {"steps": [["w", "v + 12", "v + 20"], ["v", "h + 14", "h + 34"], ["h", "c + 5", "c + 39"], ["c", "q + 14", "q + 53"], ["q", "d + 3", "d + 56"], ["d", 16, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"d": 16}, "is_reverse": true}} | 10,830 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = v + 12; m = d + 12; h = c + 5; d = 16; f = p + 20; g = e + 1; l = w + 8; q = d + 3; x = g + 10; e = m + 4; c = q + 14; p = x + 15; v = h + 14. If d = 16, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = v + 12 to l, which gives l = v + 20.\n2. Substitute v = h + 14 to l, which gives l = h + 34.\n3. Substitute h = c + 5 to l, which gives l = c + 39.\n4. Substitute c = q + 14 to l, which gives l = q + 53.\n5. Substitute q = d + 3 to l, which gives l = d + 56.\n6. Substitute d = 16 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 10830,
"question": "Consider a system of variables where each variable is defined as follows: w = v + 12; m = d + 12; h = c + 5; d = 16; f = p + 20; g = e + 1; l = w + 8; q = d + 3; x = g + 10; e = m + 4; c = q + 14; p = x + 15; v = h + 14. If d = 16, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 5", "i": "z + 1", "l": "i + 17", "o": "l + 1", "k": "o + 10", "q": "k + 18", "t": "b + 10", "e": "t + 18", "h": "e + 1", "m": "h + 15", "a": "m + 19", "s": "a + 11", "b": 11}, "premises": {"b": 11}, "target": "q"}, "answer": {"steps": [["k", "o + 10", "o + 28"], ["o", "l + 1", "l + 29"], ["l", "i + 17", "i + 46"], ["i", "z + 1", "z + 47"], ["z", "b + 5", "b + 52"], ["b", 11, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"b": 11}, "is_reverse": true}} | 10,831 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 15; t = b + 10; o = l + 1; b = 11; e = t + 18; i = z + 1; l = i + 17; k = o + 10; q = k + 18; z = b + 5; s = a + 11; h = e + 1; a = m + 19. Given that b = 11, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 10 to q, which gives q = o + 28.\n2. Substitute o = l + 1 to q, which gives q = l + 29.\n3. Substitute l = i + 17 to q, which gives q = i + 46.\n4. Substitute i = z + 1 to q, which gives q = z + 47.\n5. Substitute z = b + 5 to q, which gives q = b + 52.\n6. Substitute b = 11 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 10831,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 15; t = b + 10; o = l + 1; b = 11; e = t + 18; i = z + 1; l = i + 17; k = o + 10; q = k + 18; z = b + 5; s = a + 11; h = e + 1; a = m + 19. Given that b = 11, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 18", "k": "o + 11", "h": "k + 15", "i": "h + 19", "g": "i + 14", "e": "g + 15", "d": "r + 9", "b": "d + 15", "z": "b + 4", "l": "z + 4", "y": "l + 12", "m": "y + 15", "r": 17}, "premises": {"r": 17}, "target": "e"}, "answer": {"steps": [["g", "i + 14", "i + 29"], ["i", "h + 19", "h + 48"], ["h", "k + 15", "k + 63"], ["k", "o + 11", "o + 74"], ["o", "r + 18", "r + 92"], ["r", 17, "109"]], "target_var_name": "e", "target_value": 109, "value_dict": {"r": 17}, "is_reverse": true}} | 10,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = r + 9; h = k + 15; y = l + 12; e = g + 15; l = z + 4; b = d + 15; m = y + 15; z = b + 4; k = o + 11; i = h + 19; g = i + 14; o = r + 18; r = 17. If r = 17, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 14 to e, which gives e = i + 29.\n2. Substitute i = h + 19 to e, which gives e = h + 48.\n3. Substitute h = k + 15 to e, which gives e = k + 63.\n4. Substitute k = o + 11 to e, which gives e = o + 74.\n5. Substitute o = r + 18 to e, which gives e = r + 92.\n6. Substitute r = 17 to e, which gives e = 109.\n\nThus, the final answer is e = \\boxed{109}.",
"index": 10832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = r + 9; h = k + 15; y = l + 12; e = g + 15; l = z + 4; b = d + 15; m = y + 15; z = b + 4; k = o + 11; i = h + 19; g = i + 14; o = r + 18; r = 17. If r = 17, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 14", "o": "z + 7", "t": "o + 5", "d": "t + 19", "x": "d + 2", "l": "x + 11", "p": "u + 3", "g": "p + 1", "h": "g + 16", "c": "h + 10", "e": "c + 17", "r": "e + 1", "u": 13}, "premises": {"u": 13}, "target": "l"}, "answer": {"steps": [["x", "d + 2", "d + 13"], ["d", "t + 19", "t + 32"], ["t", "o + 5", "o + 37"], ["o", "z + 7", "z + 44"], ["z", "u + 14", "u + 58"], ["u", 13, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"u": 13}, "is_reverse": true}} | 10,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 3; c = h + 10; e = c + 17; r = e + 1; h = g + 16; o = z + 7; l = x + 11; z = u + 14; u = 13; d = t + 19; t = o + 5; g = p + 1; x = d + 2. If u = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 2 to l, which gives l = d + 13.\n2. Substitute d = t + 19 to l, which gives l = t + 32.\n3. Substitute t = o + 5 to l, which gives l = o + 37.\n4. Substitute o = z + 7 to l, which gives l = z + 44.\n5. Substitute z = u + 14 to l, which gives l = u + 58.\n6. Substitute u = 13 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 10833,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 3; c = h + 10; e = c + 17; r = e + 1; h = g + 16; o = z + 7; l = x + 11; z = u + 14; u = 13; d = t + 19; t = o + 5; g = p + 1; x = d + 2. If u = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 9", "b": "e + 16", "u": "b + 5", "r": "u + 6", "i": "r + 18", "d": "i + 12", "l": "j + 10", "t": "l + 16", "p": "t + 1", "s": "p + 15", "w": "s + 8", "x": "w + 3", "j": 19}, "premises": {"j": 19}, "target": "d"}, "answer": {"steps": [["i", "r + 18", "r + 30"], ["r", "u + 6", "u + 36"], ["u", "b + 5", "b + 41"], ["b", "e + 16", "e + 57"], ["e", "j + 9", "j + 66"], ["j", 19, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"j": 19}, "is_reverse": true}} | 10,834 | 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 = j + 9; i = r + 18; p = t + 1; s = p + 15; r = u + 6; j = 19; l = j + 10; t = l + 16; d = i + 12; w = s + 8; b = e + 16; x = w + 3; u = b + 5. If j = 19, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 18 to d, which gives d = r + 30.\n2. Substitute r = u + 6 to d, which gives d = u + 36.\n3. Substitute u = b + 5 to d, which gives d = b + 41.\n4. Substitute b = e + 16 to d, which gives d = e + 57.\n5. Substitute e = j + 9 to d, which gives d = j + 66.\n6. Substitute j = 19 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 10834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = j + 9; i = r + 18; p = t + 1; s = p + 15; r = u + 6; j = 19; l = j + 10; t = l + 16; d = i + 12; w = s + 8; b = e + 16; x = w + 3; u = b + 5. If j = 19, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 18", "j": "a + 4", "l": "j + 18", "w": "l + 2", "p": "w + 11", "x": "p + 9", "m": "h + 3", "k": "m + 2", "v": "k + 1", "o": "v + 18", "s": "o + 8", "r": "s + 3", "h": 16}, "premises": {"h": 16}, "target": "x"}, "answer": {"steps": [["p", "w + 11", "w + 20"], ["w", "l + 2", "l + 22"], ["l", "j + 18", "j + 40"], ["j", "a + 4", "a + 44"], ["a", "h + 18", "h + 62"], ["h", 16, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"h": 16}, "is_reverse": true}} | 10,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = h + 3; v = k + 1; s = o + 8; a = h + 18; k = m + 2; r = s + 3; p = w + 11; o = v + 18; l = j + 18; x = p + 9; j = a + 4; h = 16; w = l + 2. If h = 16, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 11 to x, which gives x = w + 20.\n2. Substitute w = l + 2 to x, which gives x = l + 22.\n3. Substitute l = j + 18 to x, which gives x = j + 40.\n4. Substitute j = a + 4 to x, which gives x = a + 44.\n5. Substitute a = h + 18 to x, which gives x = h + 62.\n6. Substitute h = 16 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 10835,
"question": "Consider a system of variables where each variable is defined as follows: m = h + 3; v = k + 1; s = o + 8; a = h + 18; k = m + 2; r = s + 3; p = w + 11; o = v + 18; l = j + 18; x = p + 9; j = a + 4; h = 16; w = l + 2. If h = 16, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "i + 2", "u": "x + 10", "e": "u + 16", "h": "e + 4", "v": "h + 8", "l": "v + 20", "m": "i + 1", "j": "m + 1", "w": "j + 9", "f": "w + 14", "r": "f + 14", "z": "r + 20", "i": 19}, "premises": {"i": 19}, "target": "l"}, "answer": {"steps": [["v", "h + 8", "h + 28"], ["h", "e + 4", "e + 32"], ["e", "u + 16", "u + 48"], ["u", "x + 10", "x + 58"], ["x", "i + 2", "i + 60"], ["i", 19, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"i": 19}, "is_reverse": true}} | 10,836 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 1; v = h + 8; h = e + 4; r = f + 14; j = m + 1; e = u + 16; z = r + 20; i = 19; f = w + 14; x = i + 2; l = v + 20; u = x + 10; w = j + 9. If i = 19, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 8 to l, which gives l = h + 28.\n2. Substitute h = e + 4 to l, which gives l = e + 32.\n3. Substitute e = u + 16 to l, which gives l = u + 48.\n4. Substitute u = x + 10 to l, which gives l = x + 58.\n5. Substitute x = i + 2 to l, which gives l = i + 60.\n6. Substitute i = 19 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 10836,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 1; v = h + 8; h = e + 4; r = f + 14; j = m + 1; e = u + 16; z = r + 20; i = 19; f = w + 14; x = i + 2; l = v + 20; u = x + 10; w = j + 9. If i = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 12", "l": "a + 15", "u": "l + 9", "m": "u + 5", "p": "m + 12", "f": "p + 20", "g": "v + 6", "r": "g + 10", "o": "r + 19", "z": "o + 10", "q": "z + 2", "k": "q + 3", "v": 9}, "premises": {"v": 9}, "target": "f"}, "answer": {"steps": [["p", "m + 12", "m + 32"], ["m", "u + 5", "u + 37"], ["u", "l + 9", "l + 46"], ["l", "a + 15", "a + 61"], ["a", "v + 12", "v + 73"], ["v", 9, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"v": 9}, "is_reverse": true}} | 10,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 9; q = z + 2; k = q + 3; f = p + 20; o = r + 19; a = v + 12; m = u + 5; g = v + 6; u = l + 9; r = g + 10; z = o + 10; p = m + 12; l = a + 15. If v = 9, determine 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. Substitute p = m + 12 to f, which gives f = m + 32.\n2. Substitute m = u + 5 to f, which gives f = u + 37.\n3. Substitute u = l + 9 to f, which gives f = l + 46.\n4. Substitute l = a + 15 to f, which gives f = a + 61.\n5. Substitute a = v + 12 to f, which gives f = v + 73.\n6. Substitute v = 9 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 10837,
"question": "Consider a system of variables where each variable is defined as follows: v = 9; q = z + 2; k = q + 3; f = p + 20; o = r + 19; a = v + 12; m = u + 5; g = v + 6; u = l + 9; r = g + 10; z = o + 10; p = m + 12; l = a + 15. If v = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 18", "g": "n + 1", "f": "g + 10", "a": "f + 6", "c": "a + 10", "m": "c + 15", "d": "o + 10", "q": "d + 7", "t": "q + 9", "v": "t + 15", "p": "v + 6", "y": "p + 6", "o": 2}, "premises": {"o": 2}, "target": "m"}, "answer": {"steps": [["c", "a + 10", "a + 25"], ["a", "f + 6", "f + 31"], ["f", "g + 10", "g + 41"], ["g", "n + 1", "n + 42"], ["n", "o + 18", "o + 60"], ["o", 2, "62"]], "target_var_name": "m", "target_value": 62, "value_dict": {"o": 2}, "is_reverse": true}} | 10,838 | 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 + 10; n = o + 18; g = n + 1; c = a + 10; a = f + 6; m = c + 15; q = d + 7; y = p + 6; o = 2; v = t + 15; d = o + 10; p = v + 6; t = q + 9. If o = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 10 to m, which gives m = a + 25.\n2. Substitute a = f + 6 to m, which gives m = f + 31.\n3. Substitute f = g + 10 to m, which gives m = g + 41.\n4. Substitute g = n + 1 to m, which gives m = n + 42.\n5. Substitute n = o + 18 to m, which gives m = o + 60.\n6. Substitute o = 2 to m, which gives m = 62.\n\nThus, the final answer is m = \\boxed{62}.",
"index": 10838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = g + 10; n = o + 18; g = n + 1; c = a + 10; a = f + 6; m = c + 15; q = d + 7; y = p + 6; o = 2; v = t + 15; d = o + 10; p = v + 6; t = q + 9. If o = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 16", "j": "l + 11", "m": "j + 19", "z": "m + 1", "a": "z + 11", "s": "a + 8", "t": "h + 5", "r": "t + 20", "c": "r + 10", "u": "c + 8", "o": "u + 10", "i": "o + 11", "h": 15}, "premises": {"h": 15}, "target": "s"}, "answer": {"steps": [["a", "z + 11", "z + 19"], ["z", "m + 1", "m + 20"], ["m", "j + 19", "j + 39"], ["j", "l + 11", "l + 50"], ["l", "h + 16", "h + 66"], ["h", 15, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"h": 15}, "is_reverse": true}} | 10,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 15; j = l + 11; t = h + 5; s = a + 8; o = u + 10; u = c + 8; z = m + 1; c = r + 10; i = o + 11; r = t + 20; m = j + 19; a = z + 11; l = h + 16. Given that h = 15, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 11 to s, which gives s = z + 19.\n2. Substitute z = m + 1 to s, which gives s = m + 20.\n3. Substitute m = j + 19 to s, which gives s = j + 39.\n4. Substitute j = l + 11 to s, which gives s = l + 50.\n5. Substitute l = h + 16 to s, which gives s = h + 66.\n6. Substitute h = 15 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 10839,
"question": "Suppose a collection of variables is related by the following definitions: h = 15; j = l + 11; t = h + 5; s = a + 8; o = u + 10; u = c + 8; z = m + 1; c = r + 10; i = o + 11; r = t + 20; m = j + 19; a = z + 11; l = h + 16. Given that h = 15, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 15", "z": "k + 8", "r": "z + 19", "t": "r + 14", "u": "t + 7", "j": "u + 11", "f": "n + 11", "x": "f + 2", "o": "x + 19", "e": "o + 6", "i": "e + 9", "q": "i + 16", "n": 12}, "premises": {"n": 12}, "target": "j"}, "answer": {"steps": [["u", "t + 7", "t + 18"], ["t", "r + 14", "r + 32"], ["r", "z + 19", "z + 51"], ["z", "k + 8", "k + 59"], ["k", "n + 15", "n + 74"], ["n", 12, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"n": 12}, "is_reverse": true}} | 10,840 | 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 = f + 2; z = k + 8; o = x + 19; k = n + 15; f = n + 11; j = u + 11; e = o + 6; u = t + 7; q = i + 16; t = r + 14; n = 12; r = z + 19; i = e + 9. If n = 12, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 7 to j, which gives j = t + 18.\n2. Substitute t = r + 14 to j, which gives j = r + 32.\n3. Substitute r = z + 19 to j, which gives j = z + 51.\n4. Substitute z = k + 8 to j, which gives j = k + 59.\n5. Substitute k = n + 15 to j, which gives j = n + 74.\n6. Substitute n = 12 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 10840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 2; z = k + 8; o = x + 19; k = n + 15; f = n + 11; j = u + 11; e = o + 6; u = t + 7; q = i + 16; t = r + 14; n = 12; r = z + 19; i = e + 9. If n = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 3", "f": "o + 13", "i": "f + 5", "k": "i + 17", "u": "k + 13", "r": "u + 10", "b": "s + 12", "h": "b + 16", "e": "h + 16", "z": "e + 10", "j": "z + 19", "p": "j + 19", "s": 16}, "premises": {"s": 16}, "target": "r"}, "answer": {"steps": [["u", "k + 13", "k + 23"], ["k", "i + 17", "i + 40"], ["i", "f + 5", "f + 45"], ["f", "o + 13", "o + 58"], ["o", "s + 3", "s + 61"], ["s", 16, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"s": 16}, "is_reverse": true}} | 10,841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 5; p = j + 19; r = u + 10; u = k + 13; o = s + 3; j = z + 19; e = h + 16; s = 16; z = e + 10; h = b + 16; b = s + 12; f = o + 13; k = i + 17. Given that s = 16, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 13 to r, which gives r = k + 23.\n2. Substitute k = i + 17 to r, which gives r = i + 40.\n3. Substitute i = f + 5 to r, which gives r = f + 45.\n4. Substitute f = o + 13 to r, which gives r = o + 58.\n5. Substitute o = s + 3 to r, which gives r = s + 61.\n6. Substitute s = 16 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 10841,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 5; p = j + 19; r = u + 10; u = k + 13; o = s + 3; j = z + 19; e = h + 16; s = 16; z = e + 10; h = b + 16; b = s + 12; f = o + 13; k = i + 17. Given that s = 16, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "e + 11", "m": "y + 20", "h": "m + 9", "n": "h + 15", "d": "n + 6", "c": "d + 2", "j": "e + 20", "r": "j + 6", "w": "r + 12", "f": "w + 14", "p": "f + 16", "u": "p + 11", "e": 7}, "premises": {"e": 7}, "target": "c"}, "answer": {"steps": [["d", "n + 6", "n + 8"], ["n", "h + 15", "h + 23"], ["h", "m + 9", "m + 32"], ["m", "y + 20", "y + 52"], ["y", "e + 11", "e + 63"], ["e", 7, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"e": 7}, "is_reverse": true}} | 10,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 11; d = n + 6; j = e + 20; f = w + 14; r = j + 6; c = d + 2; w = r + 12; m = y + 20; h = m + 9; n = h + 15; y = e + 11; p = f + 16; e = 7. If e = 7, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 6 to c, which gives c = n + 8.\n2. Substitute n = h + 15 to c, which gives c = h + 23.\n3. Substitute h = m + 9 to c, which gives c = m + 32.\n4. Substitute m = y + 20 to c, which gives c = y + 52.\n5. Substitute y = e + 11 to c, which gives c = e + 63.\n6. Substitute e = 7 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 10842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 11; d = n + 6; j = e + 20; f = w + 14; r = j + 6; c = d + 2; w = r + 12; m = y + 20; h = m + 9; n = h + 15; y = e + 11; p = f + 16; e = 7. If e = 7, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "q + 4", "v": "z + 4", "o": "v + 5", "r": "o + 5", "g": "r + 3", "d": "g + 17", "i": "q + 3", "n": "i + 7", "y": "n + 9", "s": "y + 13", "b": "s + 10", "l": "b + 14", "q": 14}, "premises": {"q": 14}, "target": "d"}, "answer": {"steps": [["g", "r + 3", "r + 20"], ["r", "o + 5", "o + 25"], ["o", "v + 5", "v + 30"], ["v", "z + 4", "z + 34"], ["z", "q + 4", "q + 38"], ["q", 14, "52"]], "target_var_name": "d", "target_value": 52, "value_dict": {"q": 14}, "is_reverse": true}} | 10,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 3; n = i + 7; l = b + 14; v = z + 4; b = s + 10; s = y + 13; q = 14; r = o + 5; y = n + 9; d = g + 17; z = q + 4; o = v + 5; i = q + 3. Given that q = 14, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 3 to d, which gives d = r + 20.\n2. Substitute r = o + 5 to d, which gives d = o + 25.\n3. Substitute o = v + 5 to d, which gives d = v + 30.\n4. Substitute v = z + 4 to d, which gives d = z + 34.\n5. Substitute z = q + 4 to d, which gives d = q + 38.\n6. Substitute q = 14 to d, which gives d = 52.\n\nThus, the final answer is d = \\boxed{52}.",
"index": 10843,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 3; n = i + 7; l = b + 14; v = z + 4; b = s + 10; s = y + 13; q = 14; r = o + 5; y = n + 9; d = g + 17; z = q + 4; o = v + 5; i = q + 3. Given that q = 14, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"r": "k + 9", "q": "r + 6", "i": "q + 11", "d": "i + 17", "g": "d + 2", "p": "g + 18", "s": "k + 10", "h": "s + 12", "m": "h + 19", "t": "m + 17", "j": "t + 9", "v": "j + 10", "k": 4}, "premises": {"k": 4}, "target": "p"}, "answer": {"steps": [["g", "d + 2", "d + 20"], ["d", "i + 17", "i + 37"], ["i", "q + 11", "q + 48"], ["q", "r + 6", "r + 54"], ["r", "k + 9", "k + 63"], ["k", 4, "67"]], "target_var_name": "p", "target_value": 67, "value_dict": {"k": 4}, "is_reverse": true}} | 10,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 19; q = r + 6; t = m + 17; k = 4; h = s + 12; g = d + 2; d = i + 17; r = k + 9; j = t + 9; v = j + 10; p = g + 18; s = k + 10; i = q + 11. If k = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 2 to p, which gives p = d + 20.\n2. Substitute d = i + 17 to p, which gives p = i + 37.\n3. Substitute i = q + 11 to p, which gives p = q + 48.\n4. Substitute q = r + 6 to p, which gives p = r + 54.\n5. Substitute r = k + 9 to p, which gives p = k + 63.\n6. Substitute k = 4 to p, which gives p = 67.\n\nThus, the final answer is p = \\boxed{67}.",
"index": 10844,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 19; q = r + 6; t = m + 17; k = 4; h = s + 12; g = d + 2; d = i + 17; r = k + 9; j = t + 9; v = j + 10; p = g + 18; s = k + 10; i = q + 11. If k = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 3", "q": "w + 19", "z": "q + 16", "b": "z + 16", "u": "b + 20", "x": "u + 13", "s": "i + 9", "k": "s + 15", "r": "k + 6", "o": "r + 7", "a": "o + 1", "m": "a + 8", "i": 16}, "premises": {"i": 16}, "target": "x"}, "answer": {"steps": [["u", "b + 20", "b + 33"], ["b", "z + 16", "z + 49"], ["z", "q + 16", "q + 65"], ["q", "w + 19", "w + 84"], ["w", "i + 3", "i + 87"], ["i", 16, "103"]], "target_var_name": "x", "target_value": 103, "value_dict": {"i": 16}, "is_reverse": true}} | 10,845 | 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 = q + 16; s = i + 9; x = u + 13; k = s + 15; o = r + 7; i = 16; q = w + 19; m = a + 8; b = z + 16; w = i + 3; a = o + 1; r = k + 6; u = b + 20. If i = 16, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 20 to x, which gives x = b + 33.\n2. Substitute b = z + 16 to x, which gives x = z + 49.\n3. Substitute z = q + 16 to x, which gives x = q + 65.\n4. Substitute q = w + 19 to x, which gives x = w + 84.\n5. Substitute w = i + 3 to x, which gives x = i + 87.\n6. Substitute i = 16 to x, which gives x = 103.\n\nThus, the final answer is x = \\boxed{103}.",
"index": 10845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 16; s = i + 9; x = u + 13; k = s + 15; o = r + 7; i = 16; q = w + 19; m = a + 8; b = z + 16; w = i + 3; a = o + 1; r = k + 6; u = b + 20. If i = 16, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 5", "g": "f + 17", "z": "g + 14", "e": "z + 10", "j": "e + 16", "c": "j + 1", "v": "l + 17", "h": "v + 3", "u": "h + 13", "r": "u + 1", "p": "r + 15", "n": "p + 13", "l": 20}, "premises": {"l": 20}, "target": "c"}, "answer": {"steps": [["j", "e + 16", "e + 17"], ["e", "z + 10", "z + 27"], ["z", "g + 14", "g + 41"], ["g", "f + 17", "f + 58"], ["f", "l + 5", "l + 63"], ["l", 20, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"l": 20}, "is_reverse": true}} | 10,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 1; u = h + 13; r = u + 1; l = 20; f = l + 5; z = g + 14; v = l + 17; p = r + 15; h = v + 3; j = e + 16; e = z + 10; g = f + 17; n = p + 13. If l = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 16 to c, which gives c = e + 17.\n2. Substitute e = z + 10 to c, which gives c = z + 27.\n3. Substitute z = g + 14 to c, which gives c = g + 41.\n4. Substitute g = f + 17 to c, which gives c = f + 58.\n5. Substitute f = l + 5 to c, which gives c = l + 63.\n6. Substitute l = 20 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 10846,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = j + 1; u = h + 13; r = u + 1; l = 20; f = l + 5; z = g + 14; v = l + 17; p = r + 15; h = v + 3; j = e + 16; e = z + 10; g = f + 17; n = p + 13. If l = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 20", "f": "c + 14", "y": "f + 5", "d": "y + 8", "l": "d + 4", "u": "l + 3", "p": "j + 4", "i": "p + 1", "z": "i + 2", "n": "z + 18", "o": "n + 20", "g": "o + 17", "j": 14}, "premises": {"j": 14}, "target": "u"}, "answer": {"steps": [["l", "d + 4", "d + 7"], ["d", "y + 8", "y + 15"], ["y", "f + 5", "f + 20"], ["f", "c + 14", "c + 34"], ["c", "j + 20", "j + 54"], ["j", 14, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"j": 14}, "is_reverse": true}} | 10,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = f + 5; d = y + 8; f = c + 14; l = d + 4; z = i + 2; u = l + 3; n = z + 18; p = j + 4; o = n + 20; j = 14; i = p + 1; c = j + 20; g = o + 17. If j = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 4 to u, which gives u = d + 7.\n2. Substitute d = y + 8 to u, which gives u = y + 15.\n3. Substitute y = f + 5 to u, which gives u = f + 20.\n4. Substitute f = c + 14 to u, which gives u = c + 34.\n5. Substitute c = j + 20 to u, which gives u = j + 54.\n6. Substitute j = 14 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 10847,
"question": "Consider a system of variables where each variable is defined as follows: y = f + 5; d = y + 8; f = c + 14; l = d + 4; z = i + 2; u = l + 3; n = z + 18; p = j + 4; o = n + 20; j = 14; i = p + 1; c = j + 20; g = o + 17. If j = 14, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 14", "o": "c + 16", "f": "o + 20", "j": "f + 13", "z": "j + 9", "v": "z + 20", "u": "i + 6", "m": "u + 15", "e": "m + 9", "t": "e + 19", "l": "t + 2", "g": "l + 16", "i": 2}, "premises": {"i": 2}, "target": "v"}, "answer": {"steps": [["z", "j + 9", "j + 29"], ["j", "f + 13", "f + 42"], ["f", "o + 20", "o + 62"], ["o", "c + 16", "c + 78"], ["c", "i + 14", "i + 92"], ["i", 2, "94"]], "target_var_name": "v", "target_value": 94, "value_dict": {"i": 2}, "is_reverse": true}} | 10,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = m + 9; o = c + 16; l = t + 2; g = l + 16; i = 2; t = e + 19; m = u + 15; z = j + 9; f = o + 20; v = z + 20; c = i + 14; u = i + 6; j = f + 13. If i = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 9 to v, which gives v = j + 29.\n2. Substitute j = f + 13 to v, which gives v = f + 42.\n3. Substitute f = o + 20 to v, which gives v = o + 62.\n4. Substitute o = c + 16 to v, which gives v = c + 78.\n5. Substitute c = i + 14 to v, which gives v = i + 92.\n6. Substitute i = 2 to v, which gives v = 94.\n\nThus, the final answer is v = \\boxed{94}.",
"index": 10848,
"question": "Consider a system of variables where each variable is defined as follows: e = m + 9; o = c + 16; l = t + 2; g = l + 16; i = 2; t = e + 19; m = u + 15; z = j + 9; f = o + 20; v = z + 20; c = i + 14; u = i + 6; j = f + 13. If i = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 3", "p": "z + 20", "e": "p + 2", "x": "e + 20", "b": "x + 4", "c": "b + 19", "n": "u + 20", "a": "n + 20", "m": "a + 15", "v": "m + 8", "g": "v + 7", "w": "g + 6", "u": 13}, "premises": {"u": 13}, "target": "c"}, "answer": {"steps": [["b", "x + 4", "x + 23"], ["x", "e + 20", "e + 43"], ["e", "p + 2", "p + 45"], ["p", "z + 20", "z + 65"], ["z", "u + 3", "u + 68"], ["u", 13, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"u": 13}, "is_reverse": true}} | 10,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 13; g = v + 7; n = u + 20; p = z + 20; x = e + 20; b = x + 4; c = b + 19; a = n + 20; v = m + 8; m = a + 15; w = g + 6; e = p + 2; z = u + 3. If u = 13, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 4 to c, which gives c = x + 23.\n2. Substitute x = e + 20 to c, which gives c = e + 43.\n3. Substitute e = p + 2 to c, which gives c = p + 45.\n4. Substitute p = z + 20 to c, which gives c = z + 65.\n5. Substitute z = u + 3 to c, which gives c = u + 68.\n6. Substitute u = 13 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 10849,
"question": "Consider a system of variables where each variable is defined as follows: u = 13; g = v + 7; n = u + 20; p = z + 20; x = e + 20; b = x + 4; c = b + 19; a = n + 20; v = m + 8; m = a + 15; w = g + 6; e = p + 2; z = u + 3. If u = 13, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "a + 13", "w": "h + 5", "m": "w + 2", "b": "m + 13", "o": "b + 5", "f": "o + 9", "n": "a + 1", "y": "n + 7", "z": "y + 16", "d": "z + 12", "c": "d + 2", "g": "c + 4", "a": 8}, "premises": {"a": 8}, "target": "f"}, "answer": {"steps": [["o", "b + 5", "b + 14"], ["b", "m + 13", "m + 27"], ["m", "w + 2", "w + 29"], ["w", "h + 5", "h + 34"], ["h", "a + 13", "a + 47"], ["a", 8, "55"]], "target_var_name": "f", "target_value": 55, "value_dict": {"a": 8}, "is_reverse": true}} | 10,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 12; c = d + 2; o = b + 5; g = c + 4; a = 8; y = n + 7; f = o + 9; z = y + 16; n = a + 1; h = a + 13; w = h + 5; m = w + 2; b = m + 13. If a = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 5 to f, which gives f = b + 14.\n2. Substitute b = m + 13 to f, which gives f = m + 27.\n3. Substitute m = w + 2 to f, which gives f = w + 29.\n4. Substitute w = h + 5 to f, which gives f = h + 34.\n5. Substitute h = a + 13 to f, which gives f = a + 47.\n6. Substitute a = 8 to f, which gives f = 55.\n\nThus, the final answer is f = \\boxed{55}.",
"index": 10850,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 12; c = d + 2; o = b + 5; g = c + 4; a = 8; y = n + 7; f = o + 9; z = y + 16; n = a + 1; h = a + 13; w = h + 5; m = w + 2; b = m + 13. If a = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 9", "n": "k + 9", "u": "n + 16", "c": "u + 5", "h": "c + 18", "t": "h + 9", "g": "q + 11", "j": "g + 1", "a": "j + 13", "z": "a + 18", "w": "z + 13", "l": "w + 3", "q": 3}, "premises": {"q": 3}, "target": "t"}, "answer": {"steps": [["h", "c + 18", "c + 27"], ["c", "u + 5", "u + 32"], ["u", "n + 16", "n + 48"], ["n", "k + 9", "k + 57"], ["k", "q + 9", "q + 66"], ["q", 3, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"q": 3}, "is_reverse": true}} | 10,851 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 3; q = 3; t = h + 9; h = c + 18; z = a + 18; j = g + 1; n = k + 9; u = n + 16; a = j + 13; g = q + 11; k = q + 9; w = z + 13; c = u + 5. Given that q = 3, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 18 to t, which gives t = c + 27.\n2. Substitute c = u + 5 to t, which gives t = u + 32.\n3. Substitute u = n + 16 to t, which gives t = n + 48.\n4. Substitute n = k + 9 to t, which gives t = k + 57.\n5. Substitute k = q + 9 to t, which gives t = q + 66.\n6. Substitute q = 3 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 10851,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 3; q = 3; t = h + 9; h = c + 18; z = a + 18; j = g + 1; n = k + 9; u = n + 16; a = j + 13; g = q + 11; k = q + 9; w = z + 13; c = u + 5. Given that q = 3, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 17", "f": "q + 10", "b": "f + 5", "p": "b + 14", "l": "p + 6", "d": "l + 11", "e": "x + 2", "o": "e + 15", "a": "o + 9", "h": "a + 1", "w": "h + 15", "k": "w + 20", "x": 9}, "premises": {"x": 9}, "target": "d"}, "answer": {"steps": [["l", "p + 6", "p + 17"], ["p", "b + 14", "b + 31"], ["b", "f + 5", "f + 36"], ["f", "q + 10", "q + 46"], ["q", "x + 17", "x + 63"], ["x", 9, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"x": 9}, "is_reverse": true}} | 10,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 15; h = a + 1; a = o + 9; o = e + 15; l = p + 6; q = x + 17; p = b + 14; e = x + 2; f = q + 10; d = l + 11; x = 9; k = w + 20; b = f + 5. Given that x = 9, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 6 to d, which gives d = p + 17.\n2. Substitute p = b + 14 to d, which gives d = b + 31.\n3. Substitute b = f + 5 to d, which gives d = f + 36.\n4. Substitute f = q + 10 to d, which gives d = q + 46.\n5. Substitute q = x + 17 to d, which gives d = x + 63.\n6. Substitute x = 9 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 10852,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 15; h = a + 1; a = o + 9; o = e + 15; l = p + 6; q = x + 17; p = b + 14; e = x + 2; f = q + 10; d = l + 11; x = 9; k = w + 20; b = f + 5. Given that x = 9, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 18", "o": "i + 10", "s": "o + 8", "h": "s + 13", "v": "h + 15", "k": "v + 6", "g": "d + 7", "a": "g + 17", "e": "a + 17", "z": "e + 13", "p": "z + 6", "b": "p + 17", "d": 4}, "premises": {"d": 4}, "target": "k"}, "answer": {"steps": [["v", "h + 15", "h + 21"], ["h", "s + 13", "s + 34"], ["s", "o + 8", "o + 42"], ["o", "i + 10", "i + 52"], ["i", "d + 18", "d + 70"], ["d", 4, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"d": 4}, "is_reverse": true}} | 10,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 7; z = e + 13; p = z + 6; a = g + 17; e = a + 17; k = v + 6; d = 4; s = o + 8; o = i + 10; h = s + 13; v = h + 15; b = p + 17; i = d + 18. If d = 4, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 15 to k, which gives k = h + 21.\n2. Substitute h = s + 13 to k, which gives k = s + 34.\n3. Substitute s = o + 8 to k, which gives k = o + 42.\n4. Substitute o = i + 10 to k, which gives k = i + 52.\n5. Substitute i = d + 18 to k, which gives k = d + 70.\n6. Substitute d = 4 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 10853,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 7; z = e + 13; p = z + 6; a = g + 17; e = a + 17; k = v + 6; d = 4; s = o + 8; o = i + 10; h = s + 13; v = h + 15; b = p + 17; i = d + 18. If d = 4, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 16", "k": "d + 20", "p": "k + 19", "g": "p + 11", "r": "g + 8", "a": "r + 7", "o": "w + 6", "s": "o + 18", "b": "s + 6", "h": "b + 12", "z": "h + 14", "e": "z + 3", "w": 2}, "premises": {"w": 2}, "target": "a"}, "answer": {"steps": [["r", "g + 8", "g + 15"], ["g", "p + 11", "p + 26"], ["p", "k + 19", "k + 45"], ["k", "d + 20", "d + 65"], ["d", "w + 16", "w + 81"], ["w", 2, "83"]], "target_var_name": "a", "target_value": 83, "value_dict": {"w": 2}, "is_reverse": true}} | 10,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = w + 6; g = p + 11; p = k + 19; b = s + 6; d = w + 16; r = g + 8; z = h + 14; w = 2; h = b + 12; k = d + 20; a = r + 7; e = z + 3; s = o + 18. Given that w = 2, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 8 to a, which gives a = g + 15.\n2. Substitute g = p + 11 to a, which gives a = p + 26.\n3. Substitute p = k + 19 to a, which gives a = k + 45.\n4. Substitute k = d + 20 to a, which gives a = d + 65.\n5. Substitute d = w + 16 to a, which gives a = w + 81.\n6. Substitute w = 2 to a, which gives a = 83.\n\nThus, the final answer is a = \\boxed{83}.",
"index": 10854,
"question": "Suppose a collection of variables is related by the following definitions: o = w + 6; g = p + 11; p = k + 19; b = s + 6; d = w + 16; r = g + 8; z = h + 14; w = 2; h = b + 12; k = d + 20; a = r + 7; e = z + 3; s = o + 18. Given that w = 2, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 12", "d": "y + 15", "u": "d + 15", "i": "u + 19", "a": "i + 2", "j": "a + 18", "w": "s + 8", "n": "w + 17", "z": "n + 9", "g": "z + 9", "h": "g + 10", "t": "h + 5", "s": 12}, "premises": {"s": 12}, "target": "j"}, "answer": {"steps": [["a", "i + 2", "i + 20"], ["i", "u + 19", "u + 39"], ["u", "d + 15", "d + 54"], ["d", "y + 15", "y + 69"], ["y", "s + 12", "s + 81"], ["s", 12, "93"]], "target_var_name": "j", "target_value": 93, "value_dict": {"s": 12}, "is_reverse": true}} | 10,855 | 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 = 12; u = d + 15; j = a + 18; n = w + 17; t = h + 5; z = n + 9; g = z + 9; a = i + 2; i = u + 19; y = s + 12; w = s + 8; d = y + 15; h = g + 10. If s = 12, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 2 to j, which gives j = i + 20.\n2. Substitute i = u + 19 to j, which gives j = u + 39.\n3. Substitute u = d + 15 to j, which gives j = d + 54.\n4. Substitute d = y + 15 to j, which gives j = y + 69.\n5. Substitute y = s + 12 to j, which gives j = s + 81.\n6. Substitute s = 12 to j, which gives j = 93.\n\nThus, the final answer is j = \\boxed{93}.",
"index": 10855,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 12; u = d + 15; j = a + 18; n = w + 17; t = h + 5; z = n + 9; g = z + 9; a = i + 2; i = u + 19; y = s + 12; w = s + 8; d = y + 15; h = g + 10. If s = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"k": "g + 4", "q": "k + 18", "x": "q + 12", "h": "x + 20", "n": "h + 3", "u": "n + 14", "w": "g + 4", "f": "w + 11", "j": "f + 2", "o": "j + 16", "m": "o + 8", "v": "m + 12", "g": 10}, "premises": {"g": 10}, "target": "u"}, "answer": {"steps": [["n", "h + 3", "h + 17"], ["h", "x + 20", "x + 37"], ["x", "q + 12", "q + 49"], ["q", "k + 18", "k + 67"], ["k", "g + 4", "g + 71"], ["g", 10, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"g": 10}, "is_reverse": true}} | 10,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 3; g = 10; x = q + 12; m = o + 8; k = g + 4; u = n + 14; h = x + 20; q = k + 18; w = g + 4; j = f + 2; o = j + 16; v = m + 12; f = w + 11. If g = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 3 to u, which gives u = h + 17.\n2. Substitute h = x + 20 to u, which gives u = x + 37.\n3. Substitute x = q + 12 to u, which gives u = q + 49.\n4. Substitute q = k + 18 to u, which gives u = k + 67.\n5. Substitute k = g + 4 to u, which gives u = g + 71.\n6. Substitute g = 10 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 10856,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 3; g = 10; x = q + 12; m = o + 8; k = g + 4; u = n + 14; h = x + 20; q = k + 18; w = g + 4; j = f + 2; o = j + 16; v = m + 12; f = w + 11. If g = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 16", "z": "f + 16", "j": "z + 14", "m": "j + 8", "w": "m + 16", "r": "w + 4", "p": "t + 20", "y": "p + 18", "i": "y + 18", "s": "i + 20", "c": "s + 16", "a": "c + 13", "t": 18}, "premises": {"t": 18}, "target": "r"}, "answer": {"steps": [["w", "m + 16", "m + 20"], ["m", "j + 8", "j + 28"], ["j", "z + 14", "z + 42"], ["z", "f + 16", "f + 58"], ["f", "t + 16", "t + 74"], ["t", 18, "92"]], "target_var_name": "r", "target_value": 92, "value_dict": {"t": 18}, "is_reverse": true}} | 10,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 4; i = y + 18; m = j + 8; c = s + 16; a = c + 13; y = p + 18; t = 18; p = t + 20; f = t + 16; w = m + 16; j = z + 14; s = i + 20; z = f + 16. If t = 18, 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. Substitute w = m + 16 to r, which gives r = m + 20.\n2. Substitute m = j + 8 to r, which gives r = j + 28.\n3. Substitute j = z + 14 to r, which gives r = z + 42.\n4. Substitute z = f + 16 to r, which gives r = f + 58.\n5. Substitute f = t + 16 to r, which gives r = t + 74.\n6. Substitute t = 18 to r, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 10857,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = w + 4; i = y + 18; m = j + 8; c = s + 16; a = c + 13; y = p + 18; t = 18; p = t + 20; f = t + 16; w = m + 16; j = z + 14; s = i + 20; z = f + 16. If t = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"h": "v + 13", "b": "h + 6", "q": "b + 2", "o": "q + 4", "m": "o + 17", "x": "m + 1", "l": "v + 7", "y": "l + 12", "z": "y + 14", "w": "z + 4", "p": "w + 10", "j": "p + 6", "v": 15}, "premises": {"v": 15}, "target": "x"}, "answer": {"steps": [["m", "o + 17", "o + 18"], ["o", "q + 4", "q + 22"], ["q", "b + 2", "b + 24"], ["b", "h + 6", "h + 30"], ["h", "v + 13", "v + 43"], ["v", 15, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"v": 15}, "is_reverse": true}} | 10,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 12; p = w + 10; x = m + 1; l = v + 7; q = b + 2; j = p + 6; b = h + 6; w = z + 4; o = q + 4; z = y + 14; m = o + 17; h = v + 13; v = 15. If v = 15, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 17 to x, which gives x = o + 18.\n2. Substitute o = q + 4 to x, which gives x = q + 22.\n3. Substitute q = b + 2 to x, which gives x = b + 24.\n4. Substitute b = h + 6 to x, which gives x = h + 30.\n5. Substitute h = v + 13 to x, which gives x = v + 43.\n6. Substitute v = 15 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 10858,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 12; p = w + 10; x = m + 1; l = v + 7; q = b + 2; j = p + 6; b = h + 6; w = z + 4; o = q + 4; z = y + 14; m = o + 17; h = v + 13; v = 15. If v = 15, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 8", "q": "b + 17", "y": "q + 5", "v": "y + 12", "x": "v + 3", "o": "x + 11", "k": "t + 11", "g": "k + 20", "p": "g + 11", "a": "p + 19", "n": "a + 10", "l": "n + 9", "t": 17}, "premises": {"t": 17}, "target": "o"}, "answer": {"steps": [["x", "v + 3", "v + 14"], ["v", "y + 12", "y + 26"], ["y", "q + 5", "q + 31"], ["q", "b + 17", "b + 48"], ["b", "t + 8", "t + 56"], ["t", 17, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"t": 17}, "is_reverse": true}} | 10,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 20; v = y + 12; a = p + 19; x = v + 3; n = a + 10; b = t + 8; p = g + 11; l = n + 9; k = t + 11; q = b + 17; t = 17; y = q + 5; o = x + 11. If t = 17, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 3 to o, which gives o = v + 14.\n2. Substitute v = y + 12 to o, which gives o = y + 26.\n3. Substitute y = q + 5 to o, which gives o = q + 31.\n4. Substitute q = b + 17 to o, which gives o = b + 48.\n5. Substitute b = t + 8 to o, which gives o = t + 56.\n6. Substitute t = 17 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 10859,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 20; v = y + 12; a = p + 19; x = v + 3; n = a + 10; b = t + 8; p = g + 11; l = n + 9; k = t + 11; q = b + 17; t = 17; y = q + 5; o = x + 11. If t = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 16", "q": "v + 17", "l": "q + 15", "r": "l + 5", "g": "r + 18", "y": "g + 3", "b": "c + 19", "u": "b + 6", "x": "u + 20", "f": "x + 9", "a": "f + 8", "e": "a + 2", "c": 1}, "premises": {"c": 1}, "target": "y"}, "answer": {"steps": [["g", "r + 18", "r + 21"], ["r", "l + 5", "l + 26"], ["l", "q + 15", "q + 41"], ["q", "v + 17", "v + 58"], ["v", "c + 16", "c + 74"], ["c", 1, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"c": 1}, "is_reverse": true}} | 10,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 17; x = u + 20; l = q + 15; y = g + 3; f = x + 9; e = a + 2; r = l + 5; b = c + 19; a = f + 8; u = b + 6; g = r + 18; v = c + 16; c = 1. Given that c = 1, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 18 to y, which gives y = r + 21.\n2. Substitute r = l + 5 to y, which gives y = l + 26.\n3. Substitute l = q + 15 to y, which gives y = q + 41.\n4. Substitute q = v + 17 to y, which gives y = v + 58.\n5. Substitute v = c + 16 to y, which gives y = c + 74.\n6. Substitute c = 1 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 10860,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 17; x = u + 20; l = q + 15; y = g + 3; f = x + 9; e = a + 2; r = l + 5; b = c + 19; a = f + 8; u = b + 6; g = r + 18; v = c + 16; c = 1. Given that c = 1, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 14", "y": "h + 18", "o": "y + 10", "g": "o + 1", "s": "g + 8", "d": "s + 16", "t": "e + 6", "v": "t + 20", "p": "v + 6", "i": "p + 1", "c": "i + 4", "u": "c + 9", "e": 15}, "premises": {"e": 15}, "target": "d"}, "answer": {"steps": [["s", "g + 8", "g + 24"], ["g", "o + 1", "o + 25"], ["o", "y + 10", "y + 35"], ["y", "h + 18", "h + 53"], ["h", "e + 14", "e + 67"], ["e", 15, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"e": 15}, "is_reverse": true}} | 10,861 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 1; o = y + 10; e = 15; s = g + 8; y = h + 18; d = s + 16; g = o + 1; v = t + 20; h = e + 14; p = v + 6; c = i + 4; t = e + 6; u = c + 9. If e = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 8 to d, which gives d = g + 24.\n2. Substitute g = o + 1 to d, which gives d = o + 25.\n3. Substitute o = y + 10 to d, which gives d = y + 35.\n4. Substitute y = h + 18 to d, which gives d = h + 53.\n5. Substitute h = e + 14 to d, which gives d = e + 67.\n6. Substitute e = 15 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 10861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 1; o = y + 10; e = 15; s = g + 8; y = h + 18; d = s + 16; g = o + 1; v = t + 20; h = e + 14; p = v + 6; c = i + 4; t = e + 6; u = c + 9. If e = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 14", "b": "s + 20", "y": "b + 15", "k": "y + 2", "v": "k + 5", "r": "v + 13", "w": "o + 19", "e": "w + 17", "d": "e + 16", "l": "d + 16", "x": "l + 10", "z": "x + 17", "o": 11}, "premises": {"o": 11}, "target": "r"}, "answer": {"steps": [["v", "k + 5", "k + 18"], ["k", "y + 2", "y + 20"], ["y", "b + 15", "b + 35"], ["b", "s + 20", "s + 55"], ["s", "o + 14", "o + 69"], ["o", 11, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"o": 11}, "is_reverse": true}} | 10,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 13; w = o + 19; k = y + 2; z = x + 17; v = k + 5; o = 11; l = d + 16; y = b + 15; x = l + 10; d = e + 16; b = s + 20; s = o + 14; e = w + 17. If o = 11, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 5 to r, which gives r = k + 18.\n2. Substitute k = y + 2 to r, which gives r = y + 20.\n3. Substitute y = b + 15 to r, which gives r = b + 35.\n4. Substitute b = s + 20 to r, which gives r = s + 55.\n5. Substitute s = o + 14 to r, which gives r = o + 69.\n6. Substitute o = 11 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 10862,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 13; w = o + 19; k = y + 2; z = x + 17; v = k + 5; o = 11; l = d + 16; y = b + 15; x = l + 10; d = e + 16; b = s + 20; s = o + 14; e = w + 17. If o = 11, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 1", "z": "i + 4", "x": "z + 8", "u": "x + 9", "b": "u + 16", "j": "b + 12", "c": "h + 4", "f": "c + 9", "n": "f + 8", "g": "n + 16", "y": "g + 20", "w": "y + 13", "h": 15}, "premises": {"h": 15}, "target": "j"}, "answer": {"steps": [["b", "u + 16", "u + 28"], ["u", "x + 9", "x + 37"], ["x", "z + 8", "z + 45"], ["z", "i + 4", "i + 49"], ["i", "h + 1", "h + 50"], ["h", 15, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"h": 15}, "is_reverse": true}} | 10,863 | 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 = g + 20; g = n + 16; i = h + 1; u = x + 9; x = z + 8; n = f + 8; b = u + 16; f = c + 9; h = 15; c = h + 4; z = i + 4; j = b + 12; w = y + 13. If h = 15, 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. Substitute b = u + 16 to j, which gives j = u + 28.\n2. Substitute u = x + 9 to j, which gives j = x + 37.\n3. Substitute x = z + 8 to j, which gives j = z + 45.\n4. Substitute z = i + 4 to j, which gives j = i + 49.\n5. Substitute i = h + 1 to j, which gives j = h + 50.\n6. Substitute h = 15 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 10863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = g + 20; g = n + 16; i = h + 1; u = x + 9; x = z + 8; n = f + 8; b = u + 16; f = c + 9; h = 15; c = h + 4; z = i + 4; j = b + 12; w = y + 13. If h = 15, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 7", "p": "a + 14", "g": "p + 2", "t": "g + 13", "x": "t + 9", "q": "x + 16", "e": "u + 3", "v": "e + 4", "n": "v + 13", "o": "n + 9", "r": "o + 9", "m": "r + 3", "u": 12}, "premises": {"u": 12}, "target": "q"}, "answer": {"steps": [["x", "t + 9", "t + 25"], ["t", "g + 13", "g + 38"], ["g", "p + 2", "p + 40"], ["p", "a + 14", "a + 54"], ["a", "u + 7", "u + 61"], ["u", 12, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"u": 12}, "is_reverse": true}} | 10,864 | 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 = t + 9; v = e + 4; n = v + 13; a = u + 7; m = r + 3; u = 12; t = g + 13; p = a + 14; o = n + 9; g = p + 2; e = u + 3; q = x + 16; r = o + 9. If u = 12, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 9 to q, which gives q = t + 25.\n2. Substitute t = g + 13 to q, which gives q = g + 38.\n3. Substitute g = p + 2 to q, which gives q = p + 40.\n4. Substitute p = a + 14 to q, which gives q = a + 54.\n5. Substitute a = u + 7 to q, which gives q = u + 61.\n6. Substitute u = 12 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 10864,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = t + 9; v = e + 4; n = v + 13; a = u + 7; m = r + 3; u = 12; t = g + 13; p = a + 14; o = n + 9; g = p + 2; e = u + 3; q = x + 16; r = o + 9. If u = 12, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 3", "c": "v + 17", "z": "c + 16", "y": "z + 14", "a": "y + 15", "r": "a + 7", "h": "w + 11", "g": "h + 20", "l": "g + 5", "s": "l + 19", "m": "s + 2", "q": "m + 17", "w": 17}, "premises": {"w": 17}, "target": "r"}, "answer": {"steps": [["a", "y + 15", "y + 22"], ["y", "z + 14", "z + 36"], ["z", "c + 16", "c + 52"], ["c", "v + 17", "v + 69"], ["v", "w + 3", "w + 72"], ["w", 17, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"w": 17}, "is_reverse": true}} | 10,865 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = c + 16; m = s + 2; r = a + 7; y = z + 14; s = l + 19; l = g + 5; v = w + 3; c = v + 17; w = 17; h = w + 11; a = y + 15; q = m + 17; g = h + 20. Given that w = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 15 to r, which gives r = y + 22.\n2. Substitute y = z + 14 to r, which gives r = z + 36.\n3. Substitute z = c + 16 to r, which gives r = c + 52.\n4. Substitute c = v + 17 to r, which gives r = v + 69.\n5. Substitute v = w + 3 to r, which gives r = w + 72.\n6. Substitute w = 17 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 10865,
"question": "Suppose a collection of variables is related by the following definitions: z = c + 16; m = s + 2; r = a + 7; y = z + 14; s = l + 19; l = g + 5; v = w + 3; c = v + 17; w = 17; h = w + 11; a = y + 15; q = m + 17; g = h + 20. Given that w = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 2", "d": "g + 3", "z": "d + 10", "q": "z + 9", "h": "q + 7", "b": "h + 18", "o": "j + 10", "k": "o + 12", "f": "k + 11", "a": "f + 2", "i": "a + 1", "r": "i + 10", "j": 11}, "premises": {"j": 11}, "target": "b"}, "answer": {"steps": [["h", "q + 7", "q + 25"], ["q", "z + 9", "z + 34"], ["z", "d + 10", "d + 44"], ["d", "g + 3", "g + 47"], ["g", "j + 2", "j + 49"], ["j", 11, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"j": 11}, "is_reverse": true}} | 10,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 2; h = q + 7; z = d + 10; q = z + 9; b = h + 18; i = a + 1; d = g + 3; r = i + 10; j = 11; a = f + 2; k = o + 12; f = k + 11; o = j + 10. Given that j = 11, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 7 to b, which gives b = q + 25.\n2. Substitute q = z + 9 to b, which gives b = z + 34.\n3. Substitute z = d + 10 to b, which gives b = d + 44.\n4. Substitute d = g + 3 to b, which gives b = g + 47.\n5. Substitute g = j + 2 to b, which gives b = j + 49.\n6. Substitute j = 11 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 10866,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 2; h = q + 7; z = d + 10; q = z + 9; b = h + 18; i = a + 1; d = g + 3; r = i + 10; j = 11; a = f + 2; k = o + 12; f = k + 11; o = j + 10. Given that j = 11, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 8", "j": "t + 11", "m": "j + 15", "p": "m + 20", "a": "p + 15", "d": "a + 14", "u": "c + 15", "n": "u + 18", "z": "n + 18", "l": "z + 12", "r": "l + 17", "w": "r + 19", "c": 10}, "premises": {"c": 10}, "target": "d"}, "answer": {"steps": [["a", "p + 15", "p + 29"], ["p", "m + 20", "m + 49"], ["m", "j + 15", "j + 64"], ["j", "t + 11", "t + 75"], ["t", "c + 8", "c + 83"], ["c", 10, "93"]], "target_var_name": "d", "target_value": 93, "value_dict": {"c": 10}, "is_reverse": true}} | 10,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 18; u = c + 15; p = m + 20; d = a + 14; z = n + 18; l = z + 12; t = c + 8; w = r + 19; j = t + 11; m = j + 15; c = 10; a = p + 15; r = l + 17. Given that c = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = p + 15 to d, which gives d = p + 29.\n2. Substitute p = m + 20 to d, which gives d = m + 49.\n3. Substitute m = j + 15 to d, which gives d = j + 64.\n4. Substitute j = t + 11 to d, which gives d = t + 75.\n5. Substitute t = c + 8 to d, which gives d = c + 83.\n6. Substitute c = 10 to d, which gives d = 93.\n\nThus, the final answer is d = \\boxed{93}.",
"index": 10867,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 18; u = c + 15; p = m + 20; d = a + 14; z = n + 18; l = z + 12; t = c + 8; w = r + 19; j = t + 11; m = j + 15; c = 10; a = p + 15; r = l + 17. Given that c = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 18", "n": "k + 19", "r": "n + 1", "z": "r + 20", "u": "z + 6", "w": "u + 18", "i": "p + 13", "h": "i + 18", "m": "h + 6", "v": "m + 19", "t": "v + 17", "j": "t + 12", "p": 3}, "premises": {"p": 3}, "target": "w"}, "answer": {"steps": [["u", "z + 6", "z + 24"], ["z", "r + 20", "r + 44"], ["r", "n + 1", "n + 45"], ["n", "k + 19", "k + 64"], ["k", "p + 18", "p + 82"], ["p", 3, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"p": 3}, "is_reverse": true}} | 10,868 | 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 = v + 17; z = r + 20; p = 3; u = z + 6; m = h + 6; k = p + 18; h = i + 18; n = k + 19; j = t + 12; v = m + 19; r = n + 1; i = p + 13; w = u + 18. If p = 3, what is the resulting 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. Substitute u = z + 6 to w, which gives w = z + 24.\n2. Substitute z = r + 20 to w, which gives w = r + 44.\n3. Substitute r = n + 1 to w, which gives w = n + 45.\n4. Substitute n = k + 19 to w, which gives w = k + 64.\n5. Substitute k = p + 18 to w, which gives w = p + 82.\n6. Substitute p = 3 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 10868,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 17; z = r + 20; p = 3; u = z + 6; m = h + 6; k = p + 18; h = i + 18; n = k + 19; j = t + 12; v = m + 19; r = n + 1; i = p + 13; w = u + 18. If p = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 7", "b": "k + 9", "a": "b + 18", "t": "a + 13", "n": "t + 4", "w": "n + 6", "p": "u + 8", "l": "p + 5", "d": "l + 20", "f": "d + 13", "e": "f + 16", "j": "e + 6", "u": 10}, "premises": {"u": 10}, "target": "w"}, "answer": {"steps": [["n", "t + 4", "t + 10"], ["t", "a + 13", "a + 23"], ["a", "b + 18", "b + 41"], ["b", "k + 9", "k + 50"], ["k", "u + 7", "u + 57"], ["u", 10, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"u": 10}, "is_reverse": true}} | 10,869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 9; a = b + 18; t = a + 13; w = n + 6; p = u + 8; j = e + 6; u = 10; l = p + 5; f = d + 13; n = t + 4; d = l + 20; k = u + 7; e = f + 16. If u = 10, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = t + 4 to w, which gives w = t + 10.\n2. Substitute t = a + 13 to w, which gives w = a + 23.\n3. Substitute a = b + 18 to w, which gives w = b + 41.\n4. Substitute b = k + 9 to w, which gives w = k + 50.\n5. Substitute k = u + 7 to w, which gives w = u + 57.\n6. Substitute u = 10 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 10869,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 9; a = b + 18; t = a + 13; w = n + 6; p = u + 8; j = e + 6; u = 10; l = p + 5; f = d + 13; n = t + 4; d = l + 20; k = u + 7; e = f + 16. If u = 10, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "d + 14", "g": "q + 12", "n": "g + 7", "f": "n + 6", "a": "f + 15", "k": "a + 1", "y": "d + 4", "c": "y + 12", "l": "c + 20", "p": "l + 13", "u": "p + 1", "w": "u + 16", "d": 10}, "premises": {"d": 10}, "target": "k"}, "answer": {"steps": [["a", "f + 15", "f + 16"], ["f", "n + 6", "n + 22"], ["n", "g + 7", "g + 29"], ["g", "q + 12", "q + 41"], ["q", "d + 14", "d + 55"], ["d", 10, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"d": 10}, "is_reverse": true}} | 10,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 13; q = d + 14; c = y + 12; f = n + 6; l = c + 20; a = f + 15; w = u + 16; d = 10; g = q + 12; n = g + 7; y = d + 4; u = p + 1; k = a + 1. If d = 10, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 15 to k, which gives k = f + 16.\n2. Substitute f = n + 6 to k, which gives k = n + 22.\n3. Substitute n = g + 7 to k, which gives k = g + 29.\n4. Substitute g = q + 12 to k, which gives k = q + 41.\n5. Substitute q = d + 14 to k, which gives k = d + 55.\n6. Substitute d = 10 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 10870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 13; q = d + 14; c = y + 12; f = n + 6; l = c + 20; a = f + 15; w = u + 16; d = 10; g = q + 12; n = g + 7; y = d + 4; u = p + 1; k = a + 1. If d = 10, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"r": "o + 18", "l": "r + 6", "x": "l + 8", "k": "x + 5", "i": "k + 5", "j": "i + 6", "u": "o + 18", "z": "u + 17", "b": "z + 7", "n": "b + 19", "t": "n + 2", "w": "t + 13", "o": 17}, "premises": {"o": 17}, "target": "j"}, "answer": {"steps": [["i", "k + 5", "k + 11"], ["k", "x + 5", "x + 16"], ["x", "l + 8", "l + 24"], ["l", "r + 6", "r + 30"], ["r", "o + 18", "o + 48"], ["o", 17, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"o": 17}, "is_reverse": true}} | 10,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 13; u = o + 18; x = l + 8; b = z + 7; r = o + 18; i = k + 5; z = u + 17; j = i + 6; l = r + 6; k = x + 5; o = 17; n = b + 19; t = n + 2. Given that o = 17, find the 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. Substitute i = k + 5 to j, which gives j = k + 11.\n2. Substitute k = x + 5 to j, which gives j = x + 16.\n3. Substitute x = l + 8 to j, which gives j = l + 24.\n4. Substitute l = r + 6 to j, which gives j = r + 30.\n5. Substitute r = o + 18 to j, which gives j = o + 48.\n6. Substitute o = 17 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 10871,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 13; u = o + 18; x = l + 8; b = z + 7; r = o + 18; i = k + 5; z = u + 17; j = i + 6; l = r + 6; k = x + 5; o = 17; n = b + 19; t = n + 2. Given that o = 17, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 4", "r": "t + 17", "v": "r + 15", "i": "v + 20", "s": "i + 3", "d": "s + 14", "k": "n + 3", "h": "k + 14", "m": "h + 8", "p": "m + 4", "c": "p + 8", "z": "c + 10", "n": 4}, "premises": {"n": 4}, "target": "d"}, "answer": {"steps": [["s", "i + 3", "i + 17"], ["i", "v + 20", "v + 37"], ["v", "r + 15", "r + 52"], ["r", "t + 17", "t + 69"], ["t", "n + 4", "n + 73"], ["n", 4, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"n": 4}, "is_reverse": true}} | 10,872 | 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 = r + 15; z = c + 10; k = n + 3; c = p + 8; r = t + 17; n = 4; s = i + 3; d = s + 14; p = m + 4; m = h + 8; h = k + 14; t = n + 4; i = v + 20. If n = 4, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 3 to d, which gives d = i + 17.\n2. Substitute i = v + 20 to d, which gives d = v + 37.\n3. Substitute v = r + 15 to d, which gives d = r + 52.\n4. Substitute r = t + 17 to d, which gives d = t + 69.\n5. Substitute t = n + 4 to d, which gives d = n + 73.\n6. Substitute n = 4 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 10872,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 15; z = c + 10; k = n + 3; c = p + 8; r = t + 17; n = 4; s = i + 3; d = s + 14; p = m + 4; m = h + 8; h = k + 14; t = n + 4; i = v + 20. If n = 4, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 6", "x": "w + 11", "r": "x + 2", "s": "r + 17", "d": "s + 2", "c": "d + 20", "e": "b + 3", "i": "e + 2", "p": "i + 1", "m": "p + 19", "g": "m + 7", "j": "g + 1", "b": 3}, "premises": {"b": 3}, "target": "c"}, "answer": {"steps": [["d", "s + 2", "s + 22"], ["s", "r + 17", "r + 39"], ["r", "x + 2", "x + 41"], ["x", "w + 11", "w + 52"], ["w", "b + 6", "b + 58"], ["b", 3, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"b": 3}, "is_reverse": true}} | 10,873 | 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 = p + 19; d = s + 2; w = b + 6; b = 3; s = r + 17; c = d + 20; p = i + 1; r = x + 2; g = m + 7; e = b + 3; x = w + 11; j = g + 1; i = e + 2. If b = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 2 to c, which gives c = s + 22.\n2. Substitute s = r + 17 to c, which gives c = r + 39.\n3. Substitute r = x + 2 to c, which gives c = x + 41.\n4. Substitute x = w + 11 to c, which gives c = w + 52.\n5. Substitute w = b + 6 to c, which gives c = b + 58.\n6. Substitute b = 3 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 10873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = p + 19; d = s + 2; w = b + 6; b = 3; s = r + 17; c = d + 20; p = i + 1; r = x + 2; g = m + 7; e = b + 3; x = w + 11; j = g + 1; i = e + 2. If b = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 7", "d": "k + 13", "s": "d + 14", "x": "s + 16", "c": "x + 7", "b": "c + 19", "e": "a + 19", "h": "e + 1", "o": "h + 20", "v": "o + 1", "r": "v + 16", "z": "r + 13", "a": 8}, "premises": {"a": 8}, "target": "b"}, "answer": {"steps": [["c", "x + 7", "x + 26"], ["x", "s + 16", "s + 42"], ["s", "d + 14", "d + 56"], ["d", "k + 13", "k + 69"], ["k", "a + 7", "a + 76"], ["a", 8, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"a": 8}, "is_reverse": true}} | 10,874 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 13; v = o + 1; r = v + 16; e = a + 19; x = s + 16; h = e + 1; a = 8; z = r + 13; s = d + 14; c = x + 7; b = c + 19; k = a + 7; o = h + 20. Given that a = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 7 to b, which gives b = x + 26.\n2. Substitute x = s + 16 to b, which gives b = s + 42.\n3. Substitute s = d + 14 to b, which gives b = d + 56.\n4. Substitute d = k + 13 to b, which gives b = k + 69.\n5. Substitute k = a + 7 to b, which gives b = a + 76.\n6. Substitute a = 8 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 10874,
"question": "Suppose a collection of variables is related by the following definitions: d = k + 13; v = o + 1; r = v + 16; e = a + 19; x = s + 16; h = e + 1; a = 8; z = r + 13; s = d + 14; c = x + 7; b = c + 19; k = a + 7; o = h + 20. Given that a = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 20", "t": "e + 10", "j": "t + 20", "s": "j + 7", "g": "s + 17", "h": "g + 5", "v": "n + 12", "u": "v + 11", "b": "u + 6", "i": "b + 10", "z": "i + 15", "x": "z + 19", "n": 20}, "premises": {"n": 20}, "target": "h"}, "answer": {"steps": [["g", "s + 17", "s + 22"], ["s", "j + 7", "j + 29"], ["j", "t + 20", "t + 49"], ["t", "e + 10", "e + 59"], ["e", "n + 20", "n + 79"], ["n", 20, "99"]], "target_var_name": "h", "target_value": 99, "value_dict": {"n": 20}, "is_reverse": true}} | 10,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 12; s = j + 7; j = t + 20; t = e + 10; i = b + 10; u = v + 11; z = i + 15; x = z + 19; e = n + 20; n = 20; h = g + 5; b = u + 6; g = s + 17. If n = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 17 to h, which gives h = s + 22.\n2. Substitute s = j + 7 to h, which gives h = j + 29.\n3. Substitute j = t + 20 to h, which gives h = t + 49.\n4. Substitute t = e + 10 to h, which gives h = e + 59.\n5. Substitute e = n + 20 to h, which gives h = n + 79.\n6. Substitute n = 20 to h, which gives h = 99.\n\nThus, the final answer is h = \\boxed{99}.",
"index": 10875,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 12; s = j + 7; j = t + 20; t = e + 10; i = b + 10; u = v + 11; z = i + 15; x = z + 19; e = n + 20; n = 20; h = g + 5; b = u + 6; g = s + 17. If n = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 2", "c": "x + 13", "s": "c + 1", "i": "s + 6", "m": "i + 13", "w": "m + 17", "q": "o + 11", "l": "q + 11", "u": "l + 14", "e": "u + 11", "k": "e + 6", "r": "k + 15", "o": 16}, "premises": {"o": 16}, "target": "w"}, "answer": {"steps": [["m", "i + 13", "i + 30"], ["i", "s + 6", "s + 36"], ["s", "c + 1", "c + 37"], ["c", "x + 13", "x + 50"], ["x", "o + 2", "o + 52"], ["o", 16, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"o": 16}, "is_reverse": true}} | 10,876 | 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 + 6; i = s + 6; w = m + 17; r = k + 15; l = q + 11; s = c + 1; m = i + 13; q = o + 11; u = l + 14; o = 16; x = o + 2; e = u + 11; c = x + 13. If o = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 13 to w, which gives w = i + 30.\n2. Substitute i = s + 6 to w, which gives w = s + 36.\n3. Substitute s = c + 1 to w, which gives w = c + 37.\n4. Substitute c = x + 13 to w, which gives w = x + 50.\n5. Substitute x = o + 2 to w, which gives w = o + 52.\n6. Substitute o = 16 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 10876,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 6; i = s + 6; w = m + 17; r = k + 15; l = q + 11; s = c + 1; m = i + 13; q = o + 11; u = l + 14; o = 16; x = o + 2; e = u + 11; c = x + 13. If o = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "a + 9", "t": "l + 1", "k": "t + 15", "o": "k + 10", "y": "o + 12", "w": "y + 6", "p": "a + 12", "r": "p + 2", "u": "r + 10", "q": "u + 7", "i": "q + 9", "c": "i + 12", "a": 3}, "premises": {"a": 3}, "target": "w"}, "answer": {"steps": [["y", "o + 12", "o + 18"], ["o", "k + 10", "k + 28"], ["k", "t + 15", "t + 43"], ["t", "l + 1", "l + 44"], ["l", "a + 9", "a + 53"], ["a", 3, "56"]], "target_var_name": "w", "target_value": 56, "value_dict": {"a": 3}, "is_reverse": true}} | 10,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 1; l = a + 9; q = u + 7; w = y + 6; a = 3; i = q + 9; r = p + 2; k = t + 15; o = k + 10; c = i + 12; u = r + 10; p = a + 12; y = o + 12. If a = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 12 to w, which gives w = o + 18.\n2. Substitute o = k + 10 to w, which gives w = k + 28.\n3. Substitute k = t + 15 to w, which gives w = t + 43.\n4. Substitute t = l + 1 to w, which gives w = l + 44.\n5. Substitute l = a + 9 to w, which gives w = a + 53.\n6. Substitute a = 3 to w, which gives w = 56.\n\nThus, the final answer is w = \\boxed{56}.",
"index": 10877,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 1; l = a + 9; q = u + 7; w = y + 6; a = 3; i = q + 9; r = p + 2; k = t + 15; o = k + 10; c = i + 12; u = r + 10; p = a + 12; y = o + 12. If a = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 2", "o": "s + 14", "b": "o + 8", "a": "b + 1", "m": "a + 16", "r": "m + 20", "k": "g + 4", "q": "k + 3", "t": "q + 19", "e": "t + 15", "h": "e + 13", "p": "h + 3", "g": 20}, "premises": {"g": 20}, "target": "r"}, "answer": {"steps": [["m", "a + 16", "a + 36"], ["a", "b + 1", "b + 37"], ["b", "o + 8", "o + 45"], ["o", "s + 14", "s + 59"], ["s", "g + 2", "g + 61"], ["g", 20, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"g": 20}, "is_reverse": true}} | 10,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 20; m = a + 16; t = q + 19; h = e + 13; q = k + 3; b = o + 8; e = t + 15; p = h + 3; g = 20; o = s + 14; s = g + 2; k = g + 4; a = b + 1. Given that g = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 16 to r, which gives r = a + 36.\n2. Substitute a = b + 1 to r, which gives r = b + 37.\n3. Substitute b = o + 8 to r, which gives r = o + 45.\n4. Substitute o = s + 14 to r, which gives r = s + 59.\n5. Substitute s = g + 2 to r, which gives r = g + 61.\n6. Substitute g = 20 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 10878,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 20; m = a + 16; t = q + 19; h = e + 13; q = k + 3; b = o + 8; e = t + 15; p = h + 3; g = 20; o = s + 14; s = g + 2; k = g + 4; a = b + 1. Given that g = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 6", "u": "e + 12", "l": "u + 18", "p": "l + 20", "v": "p + 13", "o": "v + 17", "r": "f + 10", "w": "r + 19", "n": "w + 2", "g": "n + 16", "m": "g + 2", "s": "m + 8", "f": 3}, "premises": {"f": 3}, "target": "o"}, "answer": {"steps": [["v", "p + 13", "p + 30"], ["p", "l + 20", "l + 50"], ["l", "u + 18", "u + 68"], ["u", "e + 12", "e + 80"], ["e", "f + 6", "f + 86"], ["f", 3, "89"]], "target_var_name": "o", "target_value": 89, "value_dict": {"f": 3}, "is_reverse": true}} | 10,879 | 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 = f + 6; f = 3; u = e + 12; l = u + 18; m = g + 2; n = w + 2; r = f + 10; v = p + 13; p = l + 20; s = m + 8; g = n + 16; o = v + 17; w = r + 19. If f = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 13 to o, which gives o = p + 30.\n2. Substitute p = l + 20 to o, which gives o = l + 50.\n3. Substitute l = u + 18 to o, which gives o = u + 68.\n4. Substitute u = e + 12 to o, which gives o = e + 80.\n5. Substitute e = f + 6 to o, which gives o = f + 86.\n6. Substitute f = 3 to o, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 10879,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 6; f = 3; u = e + 12; l = u + 18; m = g + 2; n = w + 2; r = f + 10; v = p + 13; p = l + 20; s = m + 8; g = n + 16; o = v + 17; w = r + 19. If f = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"v": "q + 17", "e": "v + 12", "z": "e + 9", "f": "z + 18", "h": "f + 5", "n": "h + 13", "p": "q + 2", "g": "p + 20", "t": "g + 18", "k": "t + 17", "i": "k + 18", "c": "i + 10", "q": 13}, "premises": {"q": 13}, "target": "n"}, "answer": {"steps": [["h", "f + 5", "f + 18"], ["f", "z + 18", "z + 36"], ["z", "e + 9", "e + 45"], ["e", "v + 12", "v + 57"], ["v", "q + 17", "q + 74"], ["q", 13, "87"]], "target_var_name": "n", "target_value": 87, "value_dict": {"q": 13}, "is_reverse": true}} | 10,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 2; i = k + 18; v = q + 17; z = e + 9; k = t + 17; h = f + 5; t = g + 18; q = 13; c = i + 10; f = z + 18; e = v + 12; g = p + 20; n = h + 13. Given that q = 13, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = f + 5 to n, which gives n = f + 18.\n2. Substitute f = z + 18 to n, which gives n = z + 36.\n3. Substitute z = e + 9 to n, which gives n = e + 45.\n4. Substitute e = v + 12 to n, which gives n = v + 57.\n5. Substitute v = q + 17 to n, which gives n = q + 74.\n6. Substitute q = 13 to n, which gives n = 87.\n\nThus, the final answer is n = \\boxed{87}.",
"index": 10880,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 2; i = k + 18; v = q + 17; z = e + 9; k = t + 17; h = f + 5; t = g + 18; q = 13; c = i + 10; f = z + 18; e = v + 12; g = p + 20; n = h + 13. Given that q = 13, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 1", "l": "v + 19", "a": "l + 13", "m": "a + 4", "s": "m + 15", "e": "s + 1", "t": "b + 19", "d": "t + 20", "q": "d + 7", "x": "q + 12", "h": "x + 8", "k": "h + 2", "b": 17}, "premises": {"b": 17}, "target": "e"}, "answer": {"steps": [["s", "m + 15", "m + 16"], ["m", "a + 4", "a + 20"], ["a", "l + 13", "l + 33"], ["l", "v + 19", "v + 52"], ["v", "b + 1", "b + 53"], ["b", 17, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"b": 17}, "is_reverse": true}} | 10,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = d + 7; l = v + 19; x = q + 12; t = b + 19; s = m + 15; m = a + 4; e = s + 1; d = t + 20; b = 17; k = h + 2; a = l + 13; h = x + 8; v = b + 1. If b = 17, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 15 to e, which gives e = m + 16.\n2. Substitute m = a + 4 to e, which gives e = a + 20.\n3. Substitute a = l + 13 to e, which gives e = l + 33.\n4. Substitute l = v + 19 to e, which gives e = v + 52.\n5. Substitute v = b + 1 to e, which gives e = b + 53.\n6. Substitute b = 17 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 10881,
"question": "Consider a system of variables where each variable is defined as follows: q = d + 7; l = v + 19; x = q + 12; t = b + 19; s = m + 15; m = a + 4; e = s + 1; d = t + 20; b = 17; k = h + 2; a = l + 13; h = x + 8; v = b + 1. If b = 17, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"o": "u + 7", "v": "o + 19", "n": "v + 3", "z": "n + 20", "x": "z + 6", "r": "x + 4", "l": "u + 1", "b": "l + 19", "p": "b + 13", "t": "p + 7", "h": "t + 17", "a": "h + 2", "u": 1}, "premises": {"u": 1}, "target": "r"}, "answer": {"steps": [["x", "z + 6", "z + 10"], ["z", "n + 20", "n + 30"], ["n", "v + 3", "v + 33"], ["v", "o + 19", "o + 52"], ["o", "u + 7", "u + 59"], ["u", 1, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"u": 1}, "is_reverse": true}} | 10,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 1; b = l + 19; o = u + 7; h = t + 17; z = n + 20; x = z + 6; n = v + 3; l = u + 1; v = o + 19; r = x + 4; a = h + 2; t = p + 7; p = b + 13. If u = 1, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 6 to r, which gives r = z + 10.\n2. Substitute z = n + 20 to r, which gives r = n + 30.\n3. Substitute n = v + 3 to r, which gives r = v + 33.\n4. Substitute v = o + 19 to r, which gives r = o + 52.\n5. Substitute o = u + 7 to r, which gives r = u + 59.\n6. Substitute u = 1 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 10882,
"question": "Consider a system of variables where each variable is defined as follows: u = 1; b = l + 19; o = u + 7; h = t + 17; z = n + 20; x = z + 6; n = v + 3; l = u + 1; v = o + 19; r = x + 4; a = h + 2; t = p + 7; p = b + 13. If u = 1, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 11", "i": "n + 7", "h": "i + 9", "j": "h + 17", "f": "j + 2", "y": "f + 10", "g": "l + 1", "w": "g + 10", "o": "w + 17", "v": "o + 18", "z": "v + 4", "d": "z + 8", "l": 15}, "premises": {"l": 15}, "target": "y"}, "answer": {"steps": [["f", "j + 2", "j + 12"], ["j", "h + 17", "h + 29"], ["h", "i + 9", "i + 38"], ["i", "n + 7", "n + 45"], ["n", "l + 11", "l + 56"], ["l", 15, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"l": 15}, "is_reverse": true}} | 10,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = g + 10; f = j + 2; g = l + 1; o = w + 17; v = o + 18; n = l + 11; h = i + 9; l = 15; d = z + 8; z = v + 4; y = f + 10; j = h + 17; i = n + 7. If l = 15, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 2 to y, which gives y = j + 12.\n2. Substitute j = h + 17 to y, which gives y = h + 29.\n3. Substitute h = i + 9 to y, which gives y = i + 38.\n4. Substitute i = n + 7 to y, which gives y = n + 45.\n5. Substitute n = l + 11 to y, which gives y = l + 56.\n6. Substitute l = 15 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 10883,
"question": "Consider a system of variables where each variable is defined as follows: w = g + 10; f = j + 2; g = l + 1; o = w + 17; v = o + 18; n = l + 11; h = i + 9; l = 15; d = z + 8; z = v + 4; y = f + 10; j = h + 17; i = n + 7. If l = 15, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 8", "o": "d + 1", "y": "o + 9", "z": "y + 9", "w": "z + 11", "t": "w + 7", "k": "v + 1", "u": "k + 5", "e": "u + 12", "f": "e + 5", "c": "f + 15", "n": "c + 20", "v": 4}, "premises": {"v": 4}, "target": "t"}, "answer": {"steps": [["w", "z + 11", "z + 18"], ["z", "y + 9", "y + 27"], ["y", "o + 9", "o + 36"], ["o", "d + 1", "d + 37"], ["d", "v + 8", "v + 45"], ["v", 4, "49"]], "target_var_name": "t", "target_value": 49, "value_dict": {"v": 4}, "is_reverse": true}} | 10,884 | 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 = v + 1; d = v + 8; u = k + 5; z = y + 9; e = u + 12; o = d + 1; n = c + 20; t = w + 7; f = e + 5; v = 4; y = o + 9; c = f + 15; w = z + 11. If v = 4, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 11 to t, which gives t = z + 18.\n2. Substitute z = y + 9 to t, which gives t = y + 27.\n3. Substitute y = o + 9 to t, which gives t = o + 36.\n4. Substitute o = d + 1 to t, which gives t = d + 37.\n5. Substitute d = v + 8 to t, which gives t = v + 45.\n6. Substitute v = 4 to t, which gives t = 49.\n\nThus, the final answer is t = \\boxed{49}.",
"index": 10884,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 1; d = v + 8; u = k + 5; z = y + 9; e = u + 12; o = d + 1; n = c + 20; t = w + 7; f = e + 5; v = 4; y = o + 9; c = f + 15; w = z + 11. If v = 4, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 19", "b": "t + 5", "g": "b + 4", "j": "g + 2", "r": "j + 10", "e": "r + 17", "f": "a + 16", "w": "f + 9", "d": "w + 1", "m": "d + 18", "h": "m + 8", "i": "h + 19", "a": 17}, "premises": {"a": 17}, "target": "e"}, "answer": {"steps": [["r", "j + 10", "j + 27"], ["j", "g + 2", "g + 29"], ["g", "b + 4", "b + 33"], ["b", "t + 5", "t + 38"], ["t", "a + 19", "a + 57"], ["a", 17, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"a": 17}, "is_reverse": true}} | 10,885 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = g + 2; g = b + 4; m = d + 18; f = a + 16; a = 17; b = t + 5; d = w + 1; w = f + 9; e = r + 17; t = a + 19; r = j + 10; i = h + 19; h = m + 8. Given that a = 17, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 10 to e, which gives e = j + 27.\n2. Substitute j = g + 2 to e, which gives e = g + 29.\n3. Substitute g = b + 4 to e, which gives e = b + 33.\n4. Substitute b = t + 5 to e, which gives e = t + 38.\n5. Substitute t = a + 19 to e, which gives e = a + 57.\n6. Substitute a = 17 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 10885,
"question": "Suppose a collection of variables is related by the following definitions: j = g + 2; g = b + 4; m = d + 18; f = a + 16; a = 17; b = t + 5; d = w + 1; w = f + 9; e = r + 17; t = a + 19; r = j + 10; i = h + 19; h = m + 8. Given that a = 17, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 6", "x": "v + 20", "z": "x + 4", "y": "z + 1", "u": "y + 14", "i": "u + 16", "j": "o + 16", "a": "j + 13", "c": "a + 20", "h": "c + 19", "k": "h + 10", "r": "k + 11", "o": 12}, "premises": {"o": 12}, "target": "i"}, "answer": {"steps": [["u", "y + 14", "y + 30"], ["y", "z + 1", "z + 31"], ["z", "x + 4", "x + 35"], ["x", "v + 20", "v + 55"], ["v", "o + 6", "o + 61"], ["o", 12, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"o": 12}, "is_reverse": true}} | 10,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 12; a = j + 13; r = k + 11; v = o + 6; j = o + 16; h = c + 19; x = v + 20; k = h + 10; y = z + 1; z = x + 4; c = a + 20; i = u + 16; u = y + 14. If o = 12, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 14 to i, which gives i = y + 30.\n2. Substitute y = z + 1 to i, which gives i = z + 31.\n3. Substitute z = x + 4 to i, which gives i = x + 35.\n4. Substitute x = v + 20 to i, which gives i = v + 55.\n5. Substitute v = o + 6 to i, which gives i = o + 61.\n6. Substitute o = 12 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 10886,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 12; a = j + 13; r = k + 11; v = o + 6; j = o + 16; h = c + 19; x = v + 20; k = h + 10; y = z + 1; z = x + 4; c = a + 20; i = u + 16; u = y + 14. If o = 12, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 15", "y": "k + 18", "b": "y + 13", "n": "b + 7", "c": "n + 9", "q": "c + 9", "v": "u + 15", "e": "v + 19", "g": "e + 6", "f": "g + 8", "h": "f + 12", "j": "h + 2", "u": 3}, "premises": {"u": 3}, "target": "q"}, "answer": {"steps": [["c", "n + 9", "n + 18"], ["n", "b + 7", "b + 25"], ["b", "y + 13", "y + 38"], ["y", "k + 18", "k + 56"], ["k", "u + 15", "u + 71"], ["u", 3, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"u": 3}, "is_reverse": true}} | 10,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 15; q = c + 9; h = f + 12; e = v + 19; f = g + 8; g = e + 6; k = u + 15; y = k + 18; n = b + 7; j = h + 2; c = n + 9; b = y + 13; u = 3. If u = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 9 to q, which gives q = n + 18.\n2. Substitute n = b + 7 to q, which gives q = b + 25.\n3. Substitute b = y + 13 to q, which gives q = y + 38.\n4. Substitute y = k + 18 to q, which gives q = k + 56.\n5. Substitute k = u + 15 to q, which gives q = u + 71.\n6. Substitute u = 3 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 10887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 15; q = c + 9; h = f + 12; e = v + 19; f = g + 8; g = e + 6; k = u + 15; y = k + 18; n = b + 7; j = h + 2; c = n + 9; b = y + 13; u = 3. If u = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 17", "z": "j + 18", "g": "z + 18", "u": "g + 16", "p": "u + 14", "k": "p + 18", "n": "c + 19", "i": "n + 6", "f": "i + 7", "b": "f + 11", "m": "b + 20", "d": "m + 6", "c": 10}, "premises": {"c": 10}, "target": "k"}, "answer": {"steps": [["p", "u + 14", "u + 32"], ["u", "g + 16", "g + 48"], ["g", "z + 18", "z + 66"], ["z", "j + 18", "j + 84"], ["j", "c + 17", "c + 101"], ["c", 10, "111"]], "target_var_name": "k", "target_value": 111, "value_dict": {"c": 10}, "is_reverse": true}} | 10,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 11; j = c + 17; g = z + 18; c = 10; z = j + 18; m = b + 20; f = i + 7; k = p + 18; d = m + 6; u = g + 16; i = n + 6; p = u + 14; n = c + 19. Given that c = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 14 to k, which gives k = u + 32.\n2. Substitute u = g + 16 to k, which gives k = g + 48.\n3. Substitute g = z + 18 to k, which gives k = z + 66.\n4. Substitute z = j + 18 to k, which gives k = j + 84.\n5. Substitute j = c + 17 to k, which gives k = c + 101.\n6. Substitute c = 10 to k, which gives k = 111.\n\nThus, the final answer is k = \\boxed{111}.",
"index": 10888,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 11; j = c + 17; g = z + 18; c = 10; z = j + 18; m = b + 20; f = i + 7; k = p + 18; d = m + 6; u = g + 16; i = n + 6; p = u + 14; n = c + 19. Given that c = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 20", "i": "g + 8", "m": "i + 1", "h": "m + 13", "l": "h + 5", "r": "l + 14", "s": "v + 16", "d": "s + 3", "z": "d + 18", "k": "z + 9", "p": "k + 5", "o": "p + 12", "v": 6}, "premises": {"v": 6}, "target": "r"}, "answer": {"steps": [["l", "h + 5", "h + 19"], ["h", "m + 13", "m + 32"], ["m", "i + 1", "i + 33"], ["i", "g + 8", "g + 41"], ["g", "v + 20", "v + 61"], ["v", 6, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"v": 6}, "is_reverse": true}} | 10,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = 6; m = i + 1; i = g + 8; s = v + 16; o = p + 12; h = m + 13; d = s + 3; z = d + 18; r = l + 14; l = h + 5; k = z + 9; p = k + 5; g = v + 20. Given that v = 6, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 5 to r, which gives r = h + 19.\n2. Substitute h = m + 13 to r, which gives r = m + 32.\n3. Substitute m = i + 1 to r, which gives r = i + 33.\n4. Substitute i = g + 8 to r, which gives r = g + 41.\n5. Substitute g = v + 20 to r, which gives r = v + 61.\n6. Substitute v = 6 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 10889,
"question": "Suppose a collection of variables is related by the following definitions: v = 6; m = i + 1; i = g + 8; s = v + 16; o = p + 12; h = m + 13; d = s + 3; z = d + 18; r = l + 14; l = h + 5; k = z + 9; p = k + 5; g = v + 20. Given that v = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 10", "h": "z + 7", "x": "h + 4", "k": "x + 11", "p": "k + 11", "e": "p + 7", "b": "n + 20", "u": "b + 11", "m": "u + 9", "t": "m + 16", "c": "t + 6", "l": "c + 11", "n": 12}, "premises": {"n": 12}, "target": "e"}, "answer": {"steps": [["p", "k + 11", "k + 18"], ["k", "x + 11", "x + 29"], ["x", "h + 4", "h + 33"], ["h", "z + 7", "z + 40"], ["z", "n + 10", "n + 50"], ["n", 12, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"n": 12}, "is_reverse": true}} | 10,890 | 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 = m + 16; k = x + 11; z = n + 10; u = b + 11; b = n + 20; x = h + 4; h = z + 7; n = 12; l = c + 11; c = t + 6; e = p + 7; m = u + 9; p = k + 11. If n = 12, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 11 to e, which gives e = k + 18.\n2. Substitute k = x + 11 to e, which gives e = x + 29.\n3. Substitute x = h + 4 to e, which gives e = h + 33.\n4. Substitute h = z + 7 to e, which gives e = z + 40.\n5. Substitute z = n + 10 to e, which gives e = n + 50.\n6. Substitute n = 12 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 10890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = m + 16; k = x + 11; z = n + 10; u = b + 11; b = n + 20; x = h + 4; h = z + 7; n = 12; l = c + 11; c = t + 6; e = p + 7; m = u + 9; p = k + 11. If n = 12, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 11", "f": "x + 9", "r": "f + 12", "g": "r + 16", "e": "g + 1", "o": "e + 11", "p": "m + 16", "k": "p + 18", "v": "k + 18", "y": "v + 4", "h": "y + 12", "u": "h + 11", "m": 10}, "premises": {"m": 10}, "target": "o"}, "answer": {"steps": [["e", "g + 1", "g + 12"], ["g", "r + 16", "r + 28"], ["r", "f + 12", "f + 40"], ["f", "x + 9", "x + 49"], ["x", "m + 11", "m + 60"], ["m", 10, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"m": 10}, "is_reverse": true}} | 10,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = h + 11; f = x + 9; e = g + 1; y = v + 4; o = e + 11; k = p + 18; h = y + 12; r = f + 12; x = m + 11; v = k + 18; m = 10; g = r + 16; p = m + 16. If m = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 1 to o, which gives o = g + 12.\n2. Substitute g = r + 16 to o, which gives o = r + 28.\n3. Substitute r = f + 12 to o, which gives o = f + 40.\n4. Substitute f = x + 9 to o, which gives o = x + 49.\n5. Substitute x = m + 11 to o, which gives o = m + 60.\n6. Substitute m = 10 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 10891,
"question": "Consider a system of variables where each variable is defined as follows: u = h + 11; f = x + 9; e = g + 1; y = v + 4; o = e + 11; k = p + 18; h = y + 12; r = f + 12; x = m + 11; v = k + 18; m = 10; g = r + 16; p = m + 16. If m = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 11", "y": "l + 16", "a": "y + 9", "m": "a + 20", "q": "m + 11", "b": "q + 1", "r": "o + 7", "g": "r + 19", "h": "g + 12", "k": "h + 11", "f": "k + 2", "z": "f + 17", "o": 3}, "premises": {"o": 3}, "target": "b"}, "answer": {"steps": [["q", "m + 11", "m + 12"], ["m", "a + 20", "a + 32"], ["a", "y + 9", "y + 41"], ["y", "l + 16", "l + 57"], ["l", "o + 11", "o + 68"], ["o", 3, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"o": 3}, "is_reverse": true}} | 10,892 | 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 = q + 1; m = a + 20; q = m + 11; l = o + 11; f = k + 2; h = g + 12; k = h + 11; a = y + 9; y = l + 16; z = f + 17; g = r + 19; r = o + 7; o = 3. If o = 3, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = m + 11 to b, which gives b = m + 12.\n2. Substitute m = a + 20 to b, which gives b = a + 32.\n3. Substitute a = y + 9 to b, which gives b = y + 41.\n4. Substitute y = l + 16 to b, which gives b = l + 57.\n5. Substitute l = o + 11 to b, which gives b = o + 68.\n6. Substitute o = 3 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 10892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 1; m = a + 20; q = m + 11; l = o + 11; f = k + 2; h = g + 12; k = h + 11; a = y + 9; y = l + 16; z = f + 17; g = r + 19; r = o + 7; o = 3. If o = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 11", "a": "b + 18", "l": "a + 3", "e": "l + 18", "c": "e + 11", "r": "c + 9", "p": "z + 7", "s": "p + 5", "i": "s + 19", "w": "i + 6", "h": "w + 11", "m": "h + 1", "z": 9}, "premises": {"z": 9}, "target": "r"}, "answer": {"steps": [["c", "e + 11", "e + 20"], ["e", "l + 18", "l + 38"], ["l", "a + 3", "a + 41"], ["a", "b + 18", "b + 59"], ["b", "z + 11", "z + 70"], ["z", 9, "79"]], "target_var_name": "r", "target_value": 79, "value_dict": {"z": 9}, "is_reverse": true}} | 10,893 | 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 = l + 18; r = c + 9; p = z + 7; w = i + 6; l = a + 3; c = e + 11; b = z + 11; z = 9; i = s + 19; a = b + 18; h = w + 11; m = h + 1; s = p + 5. If z = 9, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 11 to r, which gives r = e + 20.\n2. Substitute e = l + 18 to r, which gives r = l + 38.\n3. Substitute l = a + 3 to r, which gives r = a + 41.\n4. Substitute a = b + 18 to r, which gives r = b + 59.\n5. Substitute b = z + 11 to r, which gives r = z + 70.\n6. Substitute z = 9 to r, which gives r = 79.\n\nThus, the final answer is r = \\boxed{79}.",
"index": 10893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = l + 18; r = c + 9; p = z + 7; w = i + 6; l = a + 3; c = e + 11; b = z + 11; z = 9; i = s + 19; a = b + 18; h = w + 11; m = h + 1; s = p + 5. If z = 9, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 9", "t": "b + 18", "h": "t + 15", "j": "h + 8", "l": "j + 13", "o": "l + 1", "f": "g + 7", "n": "f + 10", "r": "n + 14", "z": "r + 19", "w": "z + 17", "a": "w + 17", "g": 6}, "premises": {"g": 6}, "target": "o"}, "answer": {"steps": [["l", "j + 13", "j + 14"], ["j", "h + 8", "h + 22"], ["h", "t + 15", "t + 37"], ["t", "b + 18", "b + 55"], ["b", "g + 9", "g + 64"], ["g", 6, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"g": 6}, "is_reverse": true}} | 10,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 19; r = n + 14; h = t + 15; n = f + 10; f = g + 7; o = l + 1; g = 6; w = z + 17; t = b + 18; a = w + 17; b = g + 9; l = j + 13; j = h + 8. If g = 6, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 13 to o, which gives o = j + 14.\n2. Substitute j = h + 8 to o, which gives o = h + 22.\n3. Substitute h = t + 15 to o, which gives o = t + 37.\n4. Substitute t = b + 18 to o, which gives o = b + 55.\n5. Substitute b = g + 9 to o, which gives o = g + 64.\n6. Substitute g = 6 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 10894,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 19; r = n + 14; h = t + 15; n = f + 10; f = g + 7; o = l + 1; g = 6; w = z + 17; t = b + 18; a = w + 17; b = g + 9; l = j + 13; j = h + 8. If g = 6, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 2", "k": "g + 12", "n": "k + 2", "j": "n + 18", "r": "j + 10", "w": "r + 9", "f": "z + 10", "h": "f + 11", "y": "h + 15", "s": "y + 13", "m": "s + 2", "b": "m + 15", "z": 9}, "premises": {"z": 9}, "target": "w"}, "answer": {"steps": [["r", "j + 10", "j + 19"], ["j", "n + 18", "n + 37"], ["n", "k + 2", "k + 39"], ["k", "g + 12", "g + 51"], ["g", "z + 2", "z + 53"], ["z", 9, "62"]], "target_var_name": "w", "target_value": 62, "value_dict": {"z": 9}, "is_reverse": true}} | 10,895 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 10; j = n + 18; n = k + 2; z = 9; w = r + 9; g = z + 2; m = s + 2; h = f + 11; y = h + 15; k = g + 12; f = z + 10; b = m + 15; s = y + 13. If z = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 10 to w, which gives w = j + 19.\n2. Substitute j = n + 18 to w, which gives w = n + 37.\n3. Substitute n = k + 2 to w, which gives w = k + 39.\n4. Substitute k = g + 12 to w, which gives w = g + 51.\n5. Substitute g = z + 2 to w, which gives w = z + 53.\n6. Substitute z = 9 to w, which gives w = 62.\n\nThus, the final answer is w = \\boxed{62}.",
"index": 10895,
"question": "Consider a system of variables where each variable is defined as follows: r = j + 10; j = n + 18; n = k + 2; z = 9; w = r + 9; g = z + 2; m = s + 2; h = f + 11; y = h + 15; k = g + 12; f = z + 10; b = m + 15; s = y + 13. If z = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 12", "n": "l + 15", "g": "n + 4", "m": "g + 1", "s": "m + 15", "d": "s + 18", "b": "p + 12", "u": "b + 19", "e": "u + 6", "c": "e + 15", "a": "c + 7", "y": "a + 15", "p": 13}, "premises": {"p": 13}, "target": "d"}, "answer": {"steps": [["s", "m + 15", "m + 33"], ["m", "g + 1", "g + 34"], ["g", "n + 4", "n + 38"], ["n", "l + 15", "l + 53"], ["l", "p + 12", "p + 65"], ["p", 13, "78"]], "target_var_name": "d", "target_value": 78, "value_dict": {"p": 13}, "is_reverse": true}} | 10,896 | 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 = c + 7; m = g + 1; d = s + 18; c = e + 15; y = a + 15; n = l + 15; p = 13; b = p + 12; g = n + 4; l = p + 12; s = m + 15; e = u + 6; u = b + 19. If p = 13, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 15 to d, which gives d = m + 33.\n2. Substitute m = g + 1 to d, which gives d = g + 34.\n3. Substitute g = n + 4 to d, which gives d = n + 38.\n4. Substitute n = l + 15 to d, which gives d = l + 53.\n5. Substitute l = p + 12 to d, which gives d = p + 65.\n6. Substitute p = 13 to d, which gives d = 78.\n\nThus, the final answer is d = \\boxed{78}.",
"index": 10896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = c + 7; m = g + 1; d = s + 18; c = e + 15; y = a + 15; n = l + 15; p = 13; b = p + 12; g = n + 4; l = p + 12; s = m + 15; e = u + 6; u = b + 19. If p = 13, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"h": "k + 12", "b": "h + 4", "c": "b + 3", "o": "c + 10", "l": "o + 19", "a": "l + 9", "z": "k + 2", "r": "z + 6", "q": "r + 1", "t": "q + 4", "n": "t + 15", "y": "n + 20", "k": 18}, "premises": {"k": 18}, "target": "a"}, "answer": {"steps": [["l", "o + 19", "o + 28"], ["o", "c + 10", "c + 38"], ["c", "b + 3", "b + 41"], ["b", "h + 4", "h + 45"], ["h", "k + 12", "k + 57"], ["k", 18, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"k": 18}, "is_reverse": true}} | 10,897 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 10; k = 18; z = k + 2; r = z + 6; h = k + 12; q = r + 1; b = h + 4; l = o + 19; a = l + 9; t = q + 4; y = n + 20; c = b + 3; n = t + 15. If k = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 19 to a, which gives a = o + 28.\n2. Substitute o = c + 10 to a, which gives a = c + 38.\n3. Substitute c = b + 3 to a, which gives a = b + 41.\n4. Substitute b = h + 4 to a, which gives a = h + 45.\n5. Substitute h = k + 12 to a, which gives a = k + 57.\n6. Substitute k = 18 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 10897,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 10; k = 18; z = k + 2; r = z + 6; h = k + 12; q = r + 1; b = h + 4; l = o + 19; a = l + 9; t = q + 4; y = n + 20; c = b + 3; n = t + 15. If k = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"v": "k + 18", "b": "v + 11", "t": "b + 17", "p": "t + 9", "i": "p + 12", "h": "i + 8", "n": "k + 17", "c": "n + 16", "r": "c + 11", "l": "r + 14", "x": "l + 15", "z": "x + 16", "k": 4}, "premises": {"k": 4}, "target": "h"}, "answer": {"steps": [["i", "p + 12", "p + 20"], ["p", "t + 9", "t + 29"], ["t", "b + 17", "b + 46"], ["b", "v + 11", "v + 57"], ["v", "k + 18", "k + 75"], ["k", 4, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"k": 4}, "is_reverse": true}} | 10,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 14; b = v + 11; r = c + 11; v = k + 18; i = p + 12; n = k + 17; p = t + 9; x = l + 15; k = 4; h = i + 8; c = n + 16; t = b + 17; z = x + 16. If k = 4, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 12 to h, which gives h = p + 20.\n2. Substitute p = t + 9 to h, which gives h = t + 29.\n3. Substitute t = b + 17 to h, which gives h = b + 46.\n4. Substitute b = v + 11 to h, which gives h = v + 57.\n5. Substitute v = k + 18 to h, which gives h = k + 75.\n6. Substitute k = 4 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 10898,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = r + 14; b = v + 11; r = c + 11; v = k + 18; i = p + 12; n = k + 17; p = t + 9; x = l + 15; k = 4; h = i + 8; c = n + 16; t = b + 17; z = x + 16. If k = 4, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 5", "h": "i + 20", "l": "h + 20", "k": "l + 13", "u": "k + 17", "j": "u + 15", "r": "v + 15", "o": "r + 19", "y": "o + 18", "e": "y + 2", "a": "e + 10", "g": "a + 1", "v": 10}, "premises": {"v": 10}, "target": "j"}, "answer": {"steps": [["u", "k + 17", "k + 32"], ["k", "l + 13", "l + 45"], ["l", "h + 20", "h + 65"], ["h", "i + 20", "i + 85"], ["i", "v + 5", "v + 90"], ["v", 10, "100"]], "target_var_name": "j", "target_value": 100, "value_dict": {"v": 10}, "is_reverse": true}} | 10,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 10; e = y + 2; y = o + 18; k = l + 13; g = a + 1; h = i + 20; o = r + 19; r = v + 15; u = k + 17; l = h + 20; a = e + 10; i = v + 5; j = u + 15. If v = 10, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 17 to j, which gives j = k + 32.\n2. Substitute k = l + 13 to j, which gives j = l + 45.\n3. Substitute l = h + 20 to j, which gives j = h + 65.\n4. Substitute h = i + 20 to j, which gives j = i + 85.\n5. Substitute i = v + 5 to j, which gives j = v + 90.\n6. Substitute v = 10 to j, which gives j = 100.\n\nThus, the final answer is j = \\boxed{100}.",
"index": 10899,
"question": "Consider a system of variables where each variable is defined as follows: v = 10; e = y + 2; y = o + 18; k = l + 13; g = a + 1; h = i + 20; o = r + 19; r = v + 15; u = k + 17; l = h + 20; a = e + 10; i = v + 5; j = u + 15. If v = 10, determine the value of j.",
"split": "train"
} |
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