meta
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25.6k
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int64 0
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stringclasses 1
value | data_source
stringclasses 1
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listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"d": "z + 13", "y": "d + 20", "m": "y + 4", "r": "m + 15", "g": "r + 14", "w": "g + 1", "u": "z + 1", "l": "u + 17", "e": "l + 4", "v": "e + 1", "h": "v + 1", "k": "h + 2", "z": 1}, "premises": {"z": 1}, "target": "w"}, "answer": {"steps": [["g", "r + 14", "r + 15"], ["r", "m + 15", "m + 30"], ["m", "y + 4", "y + 34"], ["y", "d + 20", "d + 54"], ["d", "z + 13", "z + 67"], ["z", 1, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"z": 1}, "is_reverse": true}}
| 23,100
| 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 = v + 1; z = 1; e = l + 4; u = z + 1; y = d + 20; v = e + 1; r = m + 15; l = u + 17; m = y + 4; g = r + 14; d = z + 13; w = g + 1; k = h + 2. If z = 1, what is the resulting 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 g = r + 14 to w, which gives w = r + 15.\n2. Substitute r = m + 15 to w, which gives w = m + 30.\n3. Substitute m = y + 4 to w, which gives w = y + 34.\n4. Substitute y = d + 20 to w, which gives w = d + 54.\n5. Substitute d = z + 13 to w, which gives w = z + 67.\n6. Substitute z = 1 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 23100,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 1; z = 1; e = l + 4; u = z + 1; y = d + 20; v = e + 1; r = m + 15; l = u + 17; m = y + 4; g = r + 14; d = z + 13; w = g + 1; k = h + 2. If z = 1, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"x": "o + 5", "e": "x + 11", "l": "e + 5", "j": "l + 3", "w": "j + 11", "s": "w + 6", "v": "o + 11", "k": "v + 5", "g": "k + 6", "a": "g + 5", "h": "a + 2", "b": "h + 9", "o": 16}, "premises": {"o": 16}, "target": "s"}, "answer": {"steps": [["w", "j + 11", "j + 17"], ["j", "l + 3", "l + 20"], ["l", "e + 5", "e + 25"], ["e", "x + 11", "x + 36"], ["x", "o + 5", "o + 41"], ["o", 16, "57"]], "target_var_name": "s", "target_value": 57, "value_dict": {"o": 16}, "is_reverse": true}}
| 23,101
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 5; x = o + 5; b = h + 9; e = x + 11; l = e + 5; w = j + 11; g = k + 6; v = o + 11; k = v + 5; j = l + 3; o = 16; s = w + 6; h = a + 2. If o = 16, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 11 to s, which gives s = j + 17.\n2. Substitute j = l + 3 to s, which gives s = l + 20.\n3. Substitute l = e + 5 to s, which gives s = e + 25.\n4. Substitute e = x + 11 to s, which gives s = x + 36.\n5. Substitute x = o + 5 to s, which gives s = o + 41.\n6. Substitute o = 16 to s, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 23101,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 5; x = o + 5; b = h + 9; e = x + 11; l = e + 5; w = j + 11; g = k + 6; v = o + 11; k = v + 5; j = l + 3; o = 16; s = w + 6; h = a + 2. If o = 16, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 15", "p": "j + 6", "u": "p + 15", "z": "u + 1", "o": "z + 2", "r": "o + 16", "d": "f + 11", "v": "d + 3", "h": "v + 6", "e": "h + 15", "y": "e + 8", "a": "y + 17", "f": 12}, "premises": {"f": 12}, "target": "r"}, "answer": {"steps": [["o", "z + 2", "z + 18"], ["z", "u + 1", "u + 19"], ["u", "p + 15", "p + 34"], ["p", "j + 6", "j + 40"], ["j", "f + 15", "f + 55"], ["f", 12, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"f": 12}, "is_reverse": true}}
| 23,102
| 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 = f + 15; p = j + 6; o = z + 2; f = 12; z = u + 1; r = o + 16; u = p + 15; e = h + 15; d = f + 11; y = e + 8; v = d + 3; a = y + 17; h = v + 6. If f = 12, what is the resulting 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 o = z + 2 to r, which gives r = z + 18.\n2. Substitute z = u + 1 to r, which gives r = u + 19.\n3. Substitute u = p + 15 to r, which gives r = p + 34.\n4. Substitute p = j + 6 to r, which gives r = j + 40.\n5. Substitute j = f + 15 to r, which gives r = f + 55.\n6. Substitute f = 12 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 23102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = f + 15; p = j + 6; o = z + 2; f = 12; z = u + 1; r = o + 16; u = p + 15; e = h + 15; d = f + 11; y = e + 8; v = d + 3; a = y + 17; h = v + 6. If f = 12, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 17", "v": "a + 19", "p": "v + 13", "s": "p + 14", "o": "s + 11", "q": "o + 7", "m": "e + 1", "b": "m + 12", "k": "b + 4", "n": "k + 3", "r": "n + 9", "c": "r + 14", "e": 4}, "premises": {"e": 4}, "target": "q"}, "answer": {"steps": [["o", "s + 11", "s + 18"], ["s", "p + 14", "p + 32"], ["p", "v + 13", "v + 45"], ["v", "a + 19", "a + 64"], ["a", "e + 17", "e + 81"], ["e", 4, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"e": 4}, "is_reverse": true}}
| 23,103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 14; e = 4; o = s + 11; s = p + 14; b = m + 12; p = v + 13; v = a + 19; a = e + 17; k = b + 4; n = k + 3; m = e + 1; q = o + 7; r = n + 9. If e = 4, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 11 to q, which gives q = s + 18.\n2. Substitute s = p + 14 to q, which gives q = p + 32.\n3. Substitute p = v + 13 to q, which gives q = v + 45.\n4. Substitute v = a + 19 to q, which gives q = a + 64.\n5. Substitute a = e + 17 to q, which gives q = e + 81.\n6. Substitute e = 4 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 23103,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 14; e = 4; o = s + 11; s = p + 14; b = m + 12; p = v + 13; v = a + 19; a = e + 17; k = b + 4; n = k + 3; m = e + 1; q = o + 7; r = n + 9. If e = 4, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 9", "s": "d + 1", "f": "s + 19", "u": "f + 9", "e": "u + 20", "j": "e + 5", "z": "q + 5", "w": "z + 12", "a": "w + 9", "r": "a + 5", "v": "r + 5", "i": "v + 15", "q": 12}, "premises": {"q": 12}, "target": "j"}, "answer": {"steps": [["e", "u + 20", "u + 25"], ["u", "f + 9", "f + 34"], ["f", "s + 19", "s + 53"], ["s", "d + 1", "d + 54"], ["d", "q + 9", "q + 63"], ["q", 12, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"q": 12}, "is_reverse": true}}
| 23,104
| 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 = d + 1; d = q + 9; i = v + 15; q = 12; v = r + 5; f = s + 19; u = f + 9; z = q + 5; r = a + 5; j = e + 5; w = z + 12; e = u + 20; a = w + 9. If q = 12, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 20 to j, which gives j = u + 25.\n2. Substitute u = f + 9 to j, which gives j = f + 34.\n3. Substitute f = s + 19 to j, which gives j = s + 53.\n4. Substitute s = d + 1 to j, which gives j = d + 54.\n5. Substitute d = q + 9 to j, which gives j = q + 63.\n6. Substitute q = 12 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 23104,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = d + 1; d = q + 9; i = v + 15; q = 12; v = r + 5; f = s + 19; u = f + 9; z = q + 5; r = a + 5; j = e + 5; w = z + 12; e = u + 20; a = w + 9. If q = 12, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 13", "m": "r + 8", "v": "m + 8", "b": "v + 19", "y": "b + 2", "h": "y + 9", "i": "c + 15", "d": "i + 6", "s": "d + 13", "e": "s + 7", "n": "e + 10", "w": "n + 20", "c": 10}, "premises": {"c": 10}, "target": "h"}, "answer": {"steps": [["y", "b + 2", "b + 11"], ["b", "v + 19", "v + 30"], ["v", "m + 8", "m + 38"], ["m", "r + 8", "r + 46"], ["r", "c + 13", "c + 59"], ["c", 10, "69"]], "target_var_name": "h", "target_value": 69, "value_dict": {"c": 10}, "is_reverse": true}}
| 23,105
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 13; v = m + 8; y = b + 2; m = r + 8; c = 10; b = v + 19; d = i + 6; w = n + 20; h = y + 9; r = c + 13; i = c + 15; n = e + 10; e = s + 7. If c = 10, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 2 to h, which gives h = b + 11.\n2. Substitute b = v + 19 to h, which gives h = v + 30.\n3. Substitute v = m + 8 to h, which gives h = m + 38.\n4. Substitute m = r + 8 to h, which gives h = r + 46.\n5. Substitute r = c + 13 to h, which gives h = c + 59.\n6. Substitute c = 10 to h, which gives h = 69.\n\nThus, the final answer is h = \\boxed{69}.",
"index": 23105,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 13; v = m + 8; y = b + 2; m = r + 8; c = 10; b = v + 19; d = i + 6; w = n + 20; h = y + 9; r = c + 13; i = c + 15; n = e + 10; e = s + 7. If c = 10, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "n + 19", "b": "w + 5", "u": "b + 3", "d": "u + 20", "z": "d + 5", "e": "z + 17", "p": "n + 2", "f": "p + 15", "h": "f + 5", "a": "h + 7", "s": "a + 16", "i": "s + 6", "n": 13}, "premises": {"n": 13}, "target": "e"}, "answer": {"steps": [["z", "d + 5", "d + 22"], ["d", "u + 20", "u + 42"], ["u", "b + 3", "b + 45"], ["b", "w + 5", "w + 50"], ["w", "n + 19", "n + 69"], ["n", 13, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"n": 13}, "is_reverse": true}}
| 23,106
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 6; b = w + 5; s = a + 16; z = d + 5; f = p + 15; a = h + 7; n = 13; d = u + 20; p = n + 2; h = f + 5; e = z + 17; u = b + 3; w = n + 19. If n = 13, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 5 to e, which gives e = d + 22.\n2. Substitute d = u + 20 to e, which gives e = u + 42.\n3. Substitute u = b + 3 to e, which gives e = b + 45.\n4. Substitute b = w + 5 to e, which gives e = w + 50.\n5. Substitute w = n + 19 to e, which gives e = n + 69.\n6. Substitute n = 13 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 23106,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 6; b = w + 5; s = a + 16; z = d + 5; f = p + 15; a = h + 7; n = 13; d = u + 20; p = n + 2; h = f + 5; e = z + 17; u = b + 3; w = n + 19. If n = 13, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 19", "g": "x + 14", "s": "g + 4", "z": "s + 18", "e": "z + 5", "t": "e + 5", "a": "v + 19", "w": "a + 18", "p": "w + 8", "h": "p + 19", "y": "h + 20", "c": "y + 10", "v": 13}, "premises": {"v": 13}, "target": "t"}, "answer": {"steps": [["e", "z + 5", "z + 10"], ["z", "s + 18", "s + 28"], ["s", "g + 4", "g + 32"], ["g", "x + 14", "x + 46"], ["x", "v + 19", "v + 65"], ["v", 13, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"v": 13}, "is_reverse": true}}
| 23,107
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 5; z = s + 18; c = y + 10; e = z + 5; x = v + 19; v = 13; y = h + 20; p = w + 8; h = p + 19; a = v + 19; s = g + 4; g = x + 14; w = a + 18. If v = 13, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 5 to t, which gives t = z + 10.\n2. Substitute z = s + 18 to t, which gives t = s + 28.\n3. Substitute s = g + 4 to t, which gives t = g + 32.\n4. Substitute g = x + 14 to t, which gives t = x + 46.\n5. Substitute x = v + 19 to t, which gives t = v + 65.\n6. Substitute v = 13 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 23107,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 5; z = s + 18; c = y + 10; e = z + 5; x = v + 19; v = 13; y = h + 20; p = w + 8; h = p + 19; a = v + 19; s = g + 4; g = x + 14; w = a + 18. If v = 13, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 6", "k": "b + 2", "l": "k + 8", "h": "l + 15", "y": "h + 6", "c": "y + 3", "o": "v + 14", "d": "o + 5", "x": "d + 5", "w": "x + 10", "n": "w + 10", "i": "n + 20", "v": 9}, "premises": {"v": 9}, "target": "c"}, "answer": {"steps": [["y", "h + 6", "h + 9"], ["h", "l + 15", "l + 24"], ["l", "k + 8", "k + 32"], ["k", "b + 2", "b + 34"], ["b", "v + 6", "v + 40"], ["v", 9, "49"]], "target_var_name": "c", "target_value": 49, "value_dict": {"v": 9}, "is_reverse": true}}
| 23,108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = b + 2; v = 9; i = n + 20; y = h + 6; c = y + 3; l = k + 8; h = l + 15; o = v + 14; x = d + 5; b = v + 6; n = w + 10; d = o + 5; w = x + 10. Given that v = 9, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 6 to c, which gives c = h + 9.\n2. Substitute h = l + 15 to c, which gives c = l + 24.\n3. Substitute l = k + 8 to c, which gives c = k + 32.\n4. Substitute k = b + 2 to c, which gives c = b + 34.\n5. Substitute b = v + 6 to c, which gives c = v + 40.\n6. Substitute v = 9 to c, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 23108,
"question": "Suppose a collection of variables is related by the following definitions: k = b + 2; v = 9; i = n + 20; y = h + 6; c = y + 3; l = k + 8; h = l + 15; o = v + 14; x = d + 5; b = v + 6; n = w + 10; d = o + 5; w = x + 10. Given that v = 9, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 14", "u": "w + 18", "z": "u + 15", "c": "z + 19", "i": "c + 8", "q": "i + 19", "o": "e + 14", "k": "o + 2", "r": "k + 3", "f": "r + 17", "p": "f + 4", "j": "p + 16", "e": 4}, "premises": {"e": 4}, "target": "q"}, "answer": {"steps": [["i", "c + 8", "c + 27"], ["c", "z + 19", "z + 46"], ["z", "u + 15", "u + 61"], ["u", "w + 18", "w + 79"], ["w", "e + 14", "e + 93"], ["e", 4, "97"]], "target_var_name": "q", "target_value": 97, "value_dict": {"e": 4}, "is_reverse": true}}
| 23,109
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 3; z = u + 15; c = z + 19; k = o + 2; i = c + 8; j = p + 16; u = w + 18; f = r + 17; p = f + 4; w = e + 14; q = i + 19; o = e + 14; e = 4. If e = 4, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 8 to q, which gives q = c + 27.\n2. Substitute c = z + 19 to q, which gives q = z + 46.\n3. Substitute z = u + 15 to q, which gives q = u + 61.\n4. Substitute u = w + 18 to q, which gives q = w + 79.\n5. Substitute w = e + 14 to q, which gives q = e + 93.\n6. Substitute e = 4 to q, which gives q = 97.\n\nThus, the final answer is q = \\boxed{97}.",
"index": 23109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = k + 3; z = u + 15; c = z + 19; k = o + 2; i = c + 8; j = p + 16; u = w + 18; f = r + 17; p = f + 4; w = e + 14; q = i + 19; o = e + 14; e = 4. If e = 4, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"q": "n + 15", "x": "q + 13", "d": "x + 16", "y": "d + 20", "t": "y + 11", "s": "t + 14", "p": "n + 9", "z": "p + 19", "j": "z + 5", "f": "j + 1", "w": "f + 18", "b": "w + 13", "n": 10}, "premises": {"n": 10}, "target": "s"}, "answer": {"steps": [["t", "y + 11", "y + 25"], ["y", "d + 20", "d + 45"], ["d", "x + 16", "x + 61"], ["x", "q + 13", "q + 74"], ["q", "n + 15", "n + 89"], ["n", 10, "99"]], "target_var_name": "s", "target_value": 99, "value_dict": {"n": 10}, "is_reverse": true}}
| 23,110
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 5; y = d + 20; t = y + 11; p = n + 9; q = n + 15; b = w + 13; d = x + 16; x = q + 13; n = 10; z = p + 19; s = t + 14; f = j + 1; w = f + 18. Given that n = 10, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 11 to s, which gives s = y + 25.\n2. Substitute y = d + 20 to s, which gives s = d + 45.\n3. Substitute d = x + 16 to s, which gives s = x + 61.\n4. Substitute x = q + 13 to s, which gives s = q + 74.\n5. Substitute q = n + 15 to s, which gives s = n + 89.\n6. Substitute n = 10 to s, which gives s = 99.\n\nThus, the final answer is s = \\boxed{99}.",
"index": 23110,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 5; y = d + 20; t = y + 11; p = n + 9; q = n + 15; b = w + 13; d = x + 16; x = q + 13; n = 10; z = p + 19; s = t + 14; f = j + 1; w = f + 18. Given that n = 10, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 15", "t": "u + 9", "k": "t + 5", "p": "k + 8", "o": "p + 13", "b": "o + 18", "n": "j + 18", "l": "n + 11", "q": "l + 12", "i": "q + 9", "h": "i + 9", "d": "h + 2", "j": 19}, "premises": {"j": 19}, "target": "b"}, "answer": {"steps": [["o", "p + 13", "p + 31"], ["p", "k + 8", "k + 39"], ["k", "t + 5", "t + 44"], ["t", "u + 9", "u + 53"], ["u", "j + 15", "j + 68"], ["j", 19, "87"]], "target_var_name": "b", "target_value": 87, "value_dict": {"j": 19}, "is_reverse": true}}
| 23,111
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 18; p = k + 8; h = i + 9; l = n + 11; u = j + 15; t = u + 9; q = l + 12; n = j + 18; j = 19; i = q + 9; d = h + 2; k = t + 5; o = p + 13. If j = 19, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 13 to b, which gives b = p + 31.\n2. Substitute p = k + 8 to b, which gives b = k + 39.\n3. Substitute k = t + 5 to b, which gives b = t + 44.\n4. Substitute t = u + 9 to b, which gives b = u + 53.\n5. Substitute u = j + 15 to b, which gives b = j + 68.\n6. Substitute j = 19 to b, which gives b = 87.\n\nThus, the final answer is b = \\boxed{87}.",
"index": 23111,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 18; p = k + 8; h = i + 9; l = n + 11; u = j + 15; t = u + 9; q = l + 12; n = j + 18; j = 19; i = q + 9; d = h + 2; k = t + 5; o = p + 13. If j = 19, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 5", "r": "n + 4", "c": "r + 2", "u": "c + 19", "f": "u + 7", "q": "f + 16", "a": "d + 19", "l": "a + 19", "w": "l + 5", "y": "w + 13", "x": "y + 7", "m": "x + 14", "d": 2}, "premises": {"d": 2}, "target": "q"}, "answer": {"steps": [["f", "u + 7", "u + 23"], ["u", "c + 19", "c + 42"], ["c", "r + 2", "r + 44"], ["r", "n + 4", "n + 48"], ["n", "d + 5", "d + 53"], ["d", 2, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"d": 2}, "is_reverse": true}}
| 23,112
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = d + 19; w = l + 5; c = r + 2; q = f + 16; u = c + 19; y = w + 13; f = u + 7; n = d + 5; d = 2; m = x + 14; r = n + 4; x = y + 7; l = a + 19. Given that d = 2, find the 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 f = u + 7 to q, which gives q = u + 23.\n2. Substitute u = c + 19 to q, which gives q = c + 42.\n3. Substitute c = r + 2 to q, which gives q = r + 44.\n4. Substitute r = n + 4 to q, which gives q = n + 48.\n5. Substitute n = d + 5 to q, which gives q = d + 53.\n6. Substitute d = 2 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 23112,
"question": "Suppose a collection of variables is related by the following definitions: a = d + 19; w = l + 5; c = r + 2; q = f + 16; u = c + 19; y = w + 13; f = u + 7; n = d + 5; d = 2; m = x + 14; r = n + 4; x = y + 7; l = a + 19. Given that d = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 15", "c": "l + 8", "i": "c + 9", "p": "i + 5", "r": "p + 4", "b": "r + 18", "g": "o + 19", "y": "g + 1", "a": "y + 14", "z": "a + 7", "e": "z + 9", "s": "e + 12", "o": 19}, "premises": {"o": 19}, "target": "b"}, "answer": {"steps": [["r", "p + 4", "p + 22"], ["p", "i + 5", "i + 27"], ["i", "c + 9", "c + 36"], ["c", "l + 8", "l + 44"], ["l", "o + 15", "o + 59"], ["o", 19, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"o": 19}, "is_reverse": true}}
| 23,113
| 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 = c + 9; o = 19; l = o + 15; g = o + 19; b = r + 18; a = y + 14; r = p + 4; p = i + 5; s = e + 12; e = z + 9; c = l + 8; z = a + 7; y = g + 1. If o = 19, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 4 to b, which gives b = p + 22.\n2. Substitute p = i + 5 to b, which gives b = i + 27.\n3. Substitute i = c + 9 to b, which gives b = c + 36.\n4. Substitute c = l + 8 to b, which gives b = l + 44.\n5. Substitute l = o + 15 to b, which gives b = o + 59.\n6. Substitute o = 19 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 23113,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 9; o = 19; l = o + 15; g = o + 19; b = r + 18; a = y + 14; r = p + 4; p = i + 5; s = e + 12; e = z + 9; c = l + 8; z = a + 7; y = g + 1. If o = 19, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 20", "t": "y + 20", "m": "t + 20", "b": "m + 15", "g": "b + 15", "r": "g + 8", "a": "e + 19", "o": "a + 17", "p": "o + 9", "u": "p + 7", "q": "u + 15", "i": "q + 1", "e": 17}, "premises": {"e": 17}, "target": "r"}, "answer": {"steps": [["g", "b + 15", "b + 23"], ["b", "m + 15", "m + 38"], ["m", "t + 20", "t + 58"], ["t", "y + 20", "y + 78"], ["y", "e + 20", "e + 98"], ["e", 17, "115"]], "target_var_name": "r", "target_value": 115, "value_dict": {"e": 17}, "is_reverse": true}}
| 23,114
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = m + 15; q = u + 15; r = g + 8; p = o + 9; y = e + 20; a = e + 19; u = p + 7; g = b + 15; i = q + 1; e = 17; t = y + 20; m = t + 20; o = a + 17. Given that e = 17, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 115,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 15 to r, which gives r = b + 23.\n2. Substitute b = m + 15 to r, which gives r = m + 38.\n3. Substitute m = t + 20 to r, which gives r = t + 58.\n4. Substitute t = y + 20 to r, which gives r = y + 78.\n5. Substitute y = e + 20 to r, which gives r = e + 98.\n6. Substitute e = 17 to r, which gives r = 115.\n\nThus, the final answer is r = \\boxed{115}.",
"index": 23114,
"question": "Suppose a collection of variables is related by the following definitions: b = m + 15; q = u + 15; r = g + 8; p = o + 9; y = e + 20; a = e + 19; u = p + 7; g = b + 15; i = q + 1; e = 17; t = y + 20; m = t + 20; o = a + 17. Given that e = 17, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 17", "l": "i + 17", "r": "l + 1", "k": "r + 9", "j": "k + 8", "o": "j + 14", "c": "a + 13", "u": "c + 12", "f": "u + 6", "z": "f + 11", "v": "z + 18", "e": "v + 4", "a": 6}, "premises": {"a": 6}, "target": "o"}, "answer": {"steps": [["j", "k + 8", "k + 22"], ["k", "r + 9", "r + 31"], ["r", "l + 1", "l + 32"], ["l", "i + 17", "i + 49"], ["i", "a + 17", "a + 66"], ["a", 6, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"a": 6}, "is_reverse": true}}
| 23,115
| 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 = a + 13; k = r + 9; i = a + 17; z = f + 11; e = v + 4; j = k + 8; v = z + 18; r = l + 1; l = i + 17; f = u + 6; u = c + 12; o = j + 14; a = 6. If a = 6, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 8 to o, which gives o = k + 22.\n2. Substitute k = r + 9 to o, which gives o = r + 31.\n3. Substitute r = l + 1 to o, which gives o = l + 32.\n4. Substitute l = i + 17 to o, which gives o = i + 49.\n5. Substitute i = a + 17 to o, which gives o = a + 66.\n6. Substitute a = 6 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 23115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 13; k = r + 9; i = a + 17; z = f + 11; e = v + 4; j = k + 8; v = z + 18; r = l + 1; l = i + 17; f = u + 6; u = c + 12; o = j + 14; a = 6. If a = 6, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"d": "a + 18", "j": "d + 3", "f": "j + 11", "h": "f + 1", "q": "h + 15", "e": "q + 13", "m": "a + 13", "p": "m + 15", "w": "p + 18", "z": "w + 13", "b": "z + 8", "o": "b + 14", "a": 17}, "premises": {"a": 17}, "target": "e"}, "answer": {"steps": [["q", "h + 15", "h + 28"], ["h", "f + 1", "f + 29"], ["f", "j + 11", "j + 40"], ["j", "d + 3", "d + 43"], ["d", "a + 18", "a + 61"], ["a", 17, "78"]], "target_var_name": "e", "target_value": 78, "value_dict": {"a": 17}, "is_reverse": true}}
| 23,116
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 14; m = a + 13; j = d + 3; z = w + 13; q = h + 15; w = p + 18; p = m + 15; h = f + 1; b = z + 8; e = q + 13; f = j + 11; d = a + 18; a = 17. Given that a = 17, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 15 to e, which gives e = h + 28.\n2. Substitute h = f + 1 to e, which gives e = f + 29.\n3. Substitute f = j + 11 to e, which gives e = j + 40.\n4. Substitute j = d + 3 to e, which gives e = d + 43.\n5. Substitute d = a + 18 to e, which gives e = a + 61.\n6. Substitute a = 17 to e, which gives e = 78.\n\nThus, the final answer is e = \\boxed{78}.",
"index": 23116,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 14; m = a + 13; j = d + 3; z = w + 13; q = h + 15; w = p + 18; p = m + 15; h = f + 1; b = z + 8; e = q + 13; f = j + 11; d = a + 18; a = 17. Given that a = 17, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 8", "r": "k + 7", "z": "r + 2", "h": "z + 13", "j": "h + 16", "p": "j + 4", "v": "q + 10", "e": "v + 14", "a": "e + 6", "b": "a + 14", "i": "b + 18", "t": "i + 13", "q": 13}, "premises": {"q": 13}, "target": "p"}, "answer": {"steps": [["j", "h + 16", "h + 20"], ["h", "z + 13", "z + 33"], ["z", "r + 2", "r + 35"], ["r", "k + 7", "k + 42"], ["k", "q + 8", "q + 50"], ["q", 13, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"q": 13}, "is_reverse": true}}
| 23,117
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = k + 7; k = q + 8; j = h + 16; e = v + 14; p = j + 4; b = a + 14; v = q + 10; a = e + 6; h = z + 13; q = 13; i = b + 18; z = r + 2; t = i + 13. If q = 13, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 16 to p, which gives p = h + 20.\n2. Substitute h = z + 13 to p, which gives p = z + 33.\n3. Substitute z = r + 2 to p, which gives p = r + 35.\n4. Substitute r = k + 7 to p, which gives p = k + 42.\n5. Substitute k = q + 8 to p, which gives p = q + 50.\n6. Substitute q = 13 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 23117,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 7; k = q + 8; j = h + 16; e = v + 14; p = j + 4; b = a + 14; v = q + 10; a = e + 6; h = z + 13; q = 13; i = b + 18; z = r + 2; t = i + 13. If q = 13, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 10", "o": "a + 8", "p": "o + 10", "w": "p + 10", "t": "w + 16", "h": "t + 17", "v": "z + 14", "q": "v + 16", "i": "q + 3", "n": "i + 5", "m": "n + 1", "r": "m + 1", "z": 15}, "premises": {"z": 15}, "target": "h"}, "answer": {"steps": [["t", "w + 16", "w + 33"], ["w", "p + 10", "p + 43"], ["p", "o + 10", "o + 53"], ["o", "a + 8", "a + 61"], ["a", "z + 10", "z + 71"], ["z", 15, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"z": 15}, "is_reverse": true}}
| 23,118
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 10; h = t + 17; r = m + 1; m = n + 1; i = q + 3; w = p + 10; q = v + 16; n = i + 5; v = z + 14; o = a + 8; t = w + 16; a = z + 10; z = 15. If z = 15, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 16 to h, which gives h = w + 33.\n2. Substitute w = p + 10 to h, which gives h = p + 43.\n3. Substitute p = o + 10 to h, which gives h = o + 53.\n4. Substitute o = a + 8 to h, which gives h = a + 61.\n5. Substitute a = z + 10 to h, which gives h = z + 71.\n6. Substitute z = 15 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 23118,
"question": "Consider a system of variables where each variable is defined as follows: p = o + 10; h = t + 17; r = m + 1; m = n + 1; i = q + 3; w = p + 10; q = v + 16; n = i + 5; v = z + 14; o = a + 8; t = w + 16; a = z + 10; z = 15. If z = 15, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 6", "o": "u + 9", "j": "o + 3", "v": "j + 6", "n": "v + 3", "k": "n + 9", "l": "e + 9", "x": "l + 8", "z": "x + 3", "t": "z + 1", "p": "t + 4", "r": "p + 12", "e": 3}, "premises": {"e": 3}, "target": "k"}, "answer": {"steps": [["n", "v + 3", "v + 12"], ["v", "j + 6", "j + 18"], ["j", "o + 3", "o + 21"], ["o", "u + 9", "u + 30"], ["u", "e + 6", "e + 36"], ["e", 3, "39"]], "target_var_name": "k", "target_value": 39, "value_dict": {"e": 3}, "is_reverse": true}}
| 23,119
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 9; j = o + 3; n = v + 3; t = z + 1; u = e + 6; o = u + 9; x = l + 8; v = j + 6; r = p + 12; z = x + 3; k = n + 9; p = t + 4; e = 3. Given that e = 3, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 39,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 3 to k, which gives k = v + 12.\n2. Substitute v = j + 6 to k, which gives k = j + 18.\n3. Substitute j = o + 3 to k, which gives k = o + 21.\n4. Substitute o = u + 9 to k, which gives k = u + 30.\n5. Substitute u = e + 6 to k, which gives k = e + 36.\n6. Substitute e = 3 to k, which gives k = 39.\n\nThus, the final answer is k = \\boxed{39}.",
"index": 23119,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 9; j = o + 3; n = v + 3; t = z + 1; u = e + 6; o = u + 9; x = l + 8; v = j + 6; r = p + 12; z = x + 3; k = n + 9; p = t + 4; e = 3. Given that e = 3, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 10", "k": "h + 16", "w": "k + 2", "u": "w + 13", "s": "u + 14", "q": "s + 16", "x": "c + 11", "v": "x + 7", "b": "v + 12", "o": "b + 14", "e": "o + 9", "i": "e + 6", "c": 15}, "premises": {"c": 15}, "target": "q"}, "answer": {"steps": [["s", "u + 14", "u + 30"], ["u", "w + 13", "w + 43"], ["w", "k + 2", "k + 45"], ["k", "h + 16", "h + 61"], ["h", "c + 10", "c + 71"], ["c", 15, "86"]], "target_var_name": "q", "target_value": 86, "value_dict": {"c": 15}, "is_reverse": true}}
| 23,120
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = e + 6; o = b + 14; s = u + 14; w = k + 2; u = w + 13; x = c + 11; c = 15; k = h + 16; b = v + 12; e = o + 9; v = x + 7; h = c + 10; q = s + 16. If c = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 14 to q, which gives q = u + 30.\n2. Substitute u = w + 13 to q, which gives q = w + 43.\n3. Substitute w = k + 2 to q, which gives q = k + 45.\n4. Substitute k = h + 16 to q, which gives q = h + 61.\n5. Substitute h = c + 10 to q, which gives q = c + 71.\n6. Substitute c = 15 to q, which gives q = 86.\n\nThus, the final answer is q = \\boxed{86}.",
"index": 23120,
"question": "Consider a system of variables where each variable is defined as follows: i = e + 6; o = b + 14; s = u + 14; w = k + 2; u = w + 13; x = c + 11; c = 15; k = h + 16; b = v + 12; e = o + 9; v = x + 7; h = c + 10; q = s + 16. If c = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 7", "e": "i + 19", "n": "e + 11", "f": "n + 17", "x": "f + 3", "m": "x + 6", "v": "u + 2", "s": "v + 6", "c": "s + 16", "w": "c + 17", "y": "w + 14", "p": "y + 2", "u": 11}, "premises": {"u": 11}, "target": "m"}, "answer": {"steps": [["x", "f + 3", "f + 9"], ["f", "n + 17", "n + 26"], ["n", "e + 11", "e + 37"], ["e", "i + 19", "i + 56"], ["i", "u + 7", "u + 63"], ["u", 11, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"u": 11}, "is_reverse": true}}
| 23,121
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = s + 16; v = u + 2; p = y + 2; y = w + 14; e = i + 19; s = v + 6; n = e + 11; x = f + 3; i = u + 7; f = n + 17; m = x + 6; u = 11; w = c + 17. If u = 11, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 3 to m, which gives m = f + 9.\n2. Substitute f = n + 17 to m, which gives m = n + 26.\n3. Substitute n = e + 11 to m, which gives m = e + 37.\n4. Substitute e = i + 19 to m, which gives m = i + 56.\n5. Substitute i = u + 7 to m, which gives m = u + 63.\n6. Substitute u = 11 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 23121,
"question": "Consider a system of variables where each variable is defined as follows: c = s + 16; v = u + 2; p = y + 2; y = w + 14; e = i + 19; s = v + 6; n = e + 11; x = f + 3; i = u + 7; f = n + 17; m = x + 6; u = 11; w = c + 17. If u = 11, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 20", "w": "p + 7", "q": "w + 5", "j": "q + 18", "n": "j + 7", "v": "n + 12", "u": "d + 12", "c": "u + 4", "i": "c + 6", "x": "i + 8", "o": "x + 14", "b": "o + 4", "d": 1}, "premises": {"d": 1}, "target": "v"}, "answer": {"steps": [["n", "j + 7", "j + 19"], ["j", "q + 18", "q + 37"], ["q", "w + 5", "w + 42"], ["w", "p + 7", "p + 49"], ["p", "d + 20", "d + 69"], ["d", 1, "70"]], "target_var_name": "v", "target_value": 70, "value_dict": {"d": 1}, "is_reverse": true}}
| 23,122
| 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 = c + 6; j = q + 18; u = d + 12; n = j + 7; b = o + 4; q = w + 5; p = d + 20; w = p + 7; d = 1; o = x + 14; c = u + 4; x = i + 8; v = n + 12. If d = 1, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 7 to v, which gives v = j + 19.\n2. Substitute j = q + 18 to v, which gives v = q + 37.\n3. Substitute q = w + 5 to v, which gives v = w + 42.\n4. Substitute w = p + 7 to v, which gives v = p + 49.\n5. Substitute p = d + 20 to v, which gives v = d + 69.\n6. Substitute d = 1 to v, which gives v = 70.\n\nThus, the final answer is v = \\boxed{70}.",
"index": 23122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = c + 6; j = q + 18; u = d + 12; n = j + 7; b = o + 4; q = w + 5; p = d + 20; w = p + 7; d = 1; o = x + 14; c = u + 4; x = i + 8; v = n + 12. If d = 1, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 10", "w": "b + 17", "n": "w + 18", "a": "n + 11", "f": "a + 15", "x": "f + 4", "t": "p + 4", "u": "t + 3", "g": "u + 8", "s": "g + 15", "v": "s + 18", "j": "v + 11", "p": 12}, "premises": {"p": 12}, "target": "x"}, "answer": {"steps": [["f", "a + 15", "a + 19"], ["a", "n + 11", "n + 30"], ["n", "w + 18", "w + 48"], ["w", "b + 17", "b + 65"], ["b", "p + 10", "p + 75"], ["p", 12, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"p": 12}, "is_reverse": true}}
| 23,123
| 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 = n + 11; v = s + 18; x = f + 4; j = v + 11; f = a + 15; n = w + 18; w = b + 17; b = p + 10; g = u + 8; p = 12; t = p + 4; u = t + 3; s = g + 15. If p = 12, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 15 to x, which gives x = a + 19.\n2. Substitute a = n + 11 to x, which gives x = n + 30.\n3. Substitute n = w + 18 to x, which gives x = w + 48.\n4. Substitute w = b + 17 to x, which gives x = b + 65.\n5. Substitute b = p + 10 to x, which gives x = p + 75.\n6. Substitute p = 12 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 23123,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = n + 11; v = s + 18; x = f + 4; j = v + 11; f = a + 15; n = w + 18; w = b + 17; b = p + 10; g = u + 8; p = 12; t = p + 4; u = t + 3; s = g + 15. If p = 12, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 3", "g": "d + 15", "i": "g + 1", "o": "i + 8", "s": "o + 15", "e": "s + 5", "x": "m + 17", "q": "x + 9", "t": "q + 14", "l": "t + 11", "h": "l + 11", "w": "h + 3", "m": 6}, "premises": {"m": 6}, "target": "e"}, "answer": {"steps": [["s", "o + 15", "o + 20"], ["o", "i + 8", "i + 28"], ["i", "g + 1", "g + 29"], ["g", "d + 15", "d + 44"], ["d", "m + 3", "m + 47"], ["m", 6, "53"]], "target_var_name": "e", "target_value": 53, "value_dict": {"m": 6}, "is_reverse": true}}
| 23,124
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 9; g = d + 15; t = q + 14; w = h + 3; x = m + 17; h = l + 11; e = s + 5; o = i + 8; l = t + 11; i = g + 1; s = o + 15; d = m + 3; m = 6. If m = 6, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 15 to e, which gives e = o + 20.\n2. Substitute o = i + 8 to e, which gives e = i + 28.\n3. Substitute i = g + 1 to e, which gives e = g + 29.\n4. Substitute g = d + 15 to e, which gives e = d + 44.\n5. Substitute d = m + 3 to e, which gives e = m + 47.\n6. Substitute m = 6 to e, which gives e = 53.\n\nThus, the final answer is e = \\boxed{53}.",
"index": 23124,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 9; g = d + 15; t = q + 14; w = h + 3; x = m + 17; h = l + 11; e = s + 5; o = i + 8; l = t + 11; i = g + 1; s = o + 15; d = m + 3; m = 6. If m = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 5", "p": "s + 12", "g": "p + 16", "y": "g + 8", "m": "y + 12", "u": "m + 1", "n": "o + 15", "r": "n + 4", "j": "r + 3", "w": "j + 14", "a": "w + 13", "h": "a + 12", "o": 16}, "premises": {"o": 16}, "target": "u"}, "answer": {"steps": [["m", "y + 12", "y + 13"], ["y", "g + 8", "g + 21"], ["g", "p + 16", "p + 37"], ["p", "s + 12", "s + 49"], ["s", "o + 5", "o + 54"], ["o", 16, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"o": 16}, "is_reverse": true}}
| 23,125
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 4; h = a + 12; g = p + 16; a = w + 13; s = o + 5; w = j + 14; p = s + 12; m = y + 12; j = r + 3; o = 16; n = o + 15; u = m + 1; y = g + 8. If o = 16, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 12 to u, which gives u = y + 13.\n2. Substitute y = g + 8 to u, which gives u = g + 21.\n3. Substitute g = p + 16 to u, which gives u = p + 37.\n4. Substitute p = s + 12 to u, which gives u = s + 49.\n5. Substitute s = o + 5 to u, which gives u = o + 54.\n6. Substitute o = 16 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 23125,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 4; h = a + 12; g = p + 16; a = w + 13; s = o + 5; w = j + 14; p = s + 12; m = y + 12; j = r + 3; o = 16; n = o + 15; u = m + 1; y = g + 8. If o = 16, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 9", "s": "k + 18", "p": "s + 7", "g": "p + 14", "n": "g + 8", "v": "n + 20", "m": "i + 11", "t": "m + 15", "e": "t + 7", "u": "e + 16", "q": "u + 13", "r": "q + 5", "i": 4}, "premises": {"i": 4}, "target": "v"}, "answer": {"steps": [["n", "g + 8", "g + 28"], ["g", "p + 14", "p + 42"], ["p", "s + 7", "s + 49"], ["s", "k + 18", "k + 67"], ["k", "i + 9", "i + 76"], ["i", 4, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"i": 4}, "is_reverse": true}}
| 23,126
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = m + 15; n = g + 8; m = i + 11; p = s + 7; q = u + 13; k = i + 9; v = n + 20; i = 4; g = p + 14; u = e + 16; s = k + 18; e = t + 7; r = q + 5. Given that i = 4, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 8 to v, which gives v = g + 28.\n2. Substitute g = p + 14 to v, which gives v = p + 42.\n3. Substitute p = s + 7 to v, which gives v = s + 49.\n4. Substitute s = k + 18 to v, which gives v = k + 67.\n5. Substitute k = i + 9 to v, which gives v = i + 76.\n6. Substitute i = 4 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 23126,
"question": "Suppose a collection of variables is related by the following definitions: t = m + 15; n = g + 8; m = i + 11; p = s + 7; q = u + 13; k = i + 9; v = n + 20; i = 4; g = p + 14; u = e + 16; s = k + 18; e = t + 7; r = q + 5. Given that i = 4, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 1", "y": "b + 1", "k": "y + 15", "f": "k + 9", "p": "f + 4", "s": "p + 1", "n": "c + 9", "t": "n + 7", "m": "t + 15", "z": "m + 19", "d": "z + 15", "q": "d + 1", "c": 7}, "premises": {"c": 7}, "target": "s"}, "answer": {"steps": [["p", "f + 4", "f + 5"], ["f", "k + 9", "k + 14"], ["k", "y + 15", "y + 29"], ["y", "b + 1", "b + 30"], ["b", "c + 1", "c + 31"], ["c", 7, "38"]], "target_var_name": "s", "target_value": 38, "value_dict": {"c": 7}, "is_reverse": true}}
| 23,127
| 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 = b + 1; s = p + 1; t = n + 7; z = m + 19; k = y + 15; q = d + 1; p = f + 4; n = c + 9; b = c + 1; d = z + 15; f = k + 9; c = 7; m = t + 15. If c = 7, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 4 to s, which gives s = f + 5.\n2. Substitute f = k + 9 to s, which gives s = k + 14.\n3. Substitute k = y + 15 to s, which gives s = y + 29.\n4. Substitute y = b + 1 to s, which gives s = b + 30.\n5. Substitute b = c + 1 to s, which gives s = c + 31.\n6. Substitute c = 7 to s, which gives s = 38.\n\nThus, the final answer is s = \\boxed{38}.",
"index": 23127,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 1; s = p + 1; t = n + 7; z = m + 19; k = y + 15; q = d + 1; p = f + 4; n = c + 9; b = c + 1; d = z + 15; f = k + 9; c = 7; m = t + 15. If c = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 20", "m": "q + 16", "x": "m + 7", "u": "x + 20", "o": "u + 7", "b": "o + 20", "h": "z + 4", "j": "h + 3", "y": "j + 14", "p": "y + 2", "i": "p + 4", "e": "i + 15", "z": 16}, "premises": {"z": 16}, "target": "b"}, "answer": {"steps": [["o", "u + 7", "u + 27"], ["u", "x + 20", "x + 47"], ["x", "m + 7", "m + 54"], ["m", "q + 16", "q + 70"], ["q", "z + 20", "z + 90"], ["z", 16, "106"]], "target_var_name": "b", "target_value": 106, "value_dict": {"z": 16}, "is_reverse": true}}
| 23,128
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = m + 7; o = u + 7; p = y + 2; j = h + 3; q = z + 20; i = p + 4; e = i + 15; h = z + 4; u = x + 20; z = 16; y = j + 14; b = o + 20; m = q + 16. Given that z = 16, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 7 to b, which gives b = u + 27.\n2. Substitute u = x + 20 to b, which gives b = x + 47.\n3. Substitute x = m + 7 to b, which gives b = m + 54.\n4. Substitute m = q + 16 to b, which gives b = q + 70.\n5. Substitute q = z + 20 to b, which gives b = z + 90.\n6. Substitute z = 16 to b, which gives b = 106.\n\nThus, the final answer is b = \\boxed{106}.",
"index": 23128,
"question": "Suppose a collection of variables is related by the following definitions: x = m + 7; o = u + 7; p = y + 2; j = h + 3; q = z + 20; i = p + 4; e = i + 15; h = z + 4; u = x + 20; z = 16; y = j + 14; b = o + 20; m = q + 16. Given that z = 16, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 8", "g": "c + 6", "a": "g + 11", "t": "a + 2", "e": "t + 19", "j": "e + 14", "f": "s + 10", "v": "f + 4", "h": "v + 11", "q": "h + 9", "w": "q + 4", "y": "w + 6", "s": 3}, "premises": {"s": 3}, "target": "j"}, "answer": {"steps": [["e", "t + 19", "t + 33"], ["t", "a + 2", "a + 35"], ["a", "g + 11", "g + 46"], ["g", "c + 6", "c + 52"], ["c", "s + 8", "s + 60"], ["s", 3, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"s": 3}, "is_reverse": true}}
| 23,129
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 2; j = e + 14; w = q + 4; v = f + 4; s = 3; e = t + 19; q = h + 9; c = s + 8; y = w + 6; a = g + 11; f = s + 10; h = v + 11; g = c + 6. If s = 3, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 19 to j, which gives j = t + 33.\n2. Substitute t = a + 2 to j, which gives j = a + 35.\n3. Substitute a = g + 11 to j, which gives j = g + 46.\n4. Substitute g = c + 6 to j, which gives j = c + 52.\n5. Substitute c = s + 8 to j, which gives j = s + 60.\n6. Substitute s = 3 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 23129,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 2; j = e + 14; w = q + 4; v = f + 4; s = 3; e = t + 19; q = h + 9; c = s + 8; y = w + 6; a = g + 11; f = s + 10; h = v + 11; g = c + 6. If s = 3, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 11", "o": "q + 17", "r": "o + 12", "l": "r + 19", "j": "l + 19", "h": "j + 13", "m": "p + 4", "u": "m + 17", "x": "u + 14", "g": "x + 5", "w": "g + 11", "y": "w + 14", "p": 19}, "premises": {"p": 19}, "target": "h"}, "answer": {"steps": [["j", "l + 19", "l + 32"], ["l", "r + 19", "r + 51"], ["r", "o + 12", "o + 63"], ["o", "q + 17", "q + 80"], ["q", "p + 11", "p + 91"], ["p", 19, "110"]], "target_var_name": "h", "target_value": 110, "value_dict": {"p": 19}, "is_reverse": true}}
| 23,130
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = 19; x = u + 14; r = o + 12; o = q + 17; y = w + 14; j = l + 19; h = j + 13; w = g + 11; m = p + 4; q = p + 11; u = m + 17; g = x + 5; l = r + 19. Given that p = 19, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 110,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = l + 19 to h, which gives h = l + 32.\n2. Substitute l = r + 19 to h, which gives h = r + 51.\n3. Substitute r = o + 12 to h, which gives h = o + 63.\n4. Substitute o = q + 17 to h, which gives h = q + 80.\n5. Substitute q = p + 11 to h, which gives h = p + 91.\n6. Substitute p = 19 to h, which gives h = 110.\n\nThus, the final answer is h = \\boxed{110}.",
"index": 23130,
"question": "Suppose a collection of variables is related by the following definitions: p = 19; x = u + 14; r = o + 12; o = q + 17; y = w + 14; j = l + 19; h = j + 13; w = g + 11; m = p + 4; q = p + 11; u = m + 17; g = x + 5; l = r + 19. Given that p = 19, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 8", "d": "n + 14", "w": "d + 9", "x": "w + 13", "r": "x + 2", "f": "r + 17", "z": "c + 19", "e": "z + 11", "g": "e + 18", "p": "g + 8", "a": "p + 4", "s": "a + 8", "c": 17}, "premises": {"c": 17}, "target": "f"}, "answer": {"steps": [["r", "x + 2", "x + 19"], ["x", "w + 13", "w + 32"], ["w", "d + 9", "d + 41"], ["d", "n + 14", "n + 55"], ["n", "c + 8", "c + 63"], ["c", 17, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"c": 17}, "is_reverse": true}}
| 23,131
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = p + 4; x = w + 13; d = n + 14; p = g + 8; f = r + 17; w = d + 9; g = e + 18; z = c + 19; r = x + 2; c = 17; s = a + 8; e = z + 11; n = c + 8. Given that c = 17, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 2 to f, which gives f = x + 19.\n2. Substitute x = w + 13 to f, which gives f = w + 32.\n3. Substitute w = d + 9 to f, which gives f = d + 41.\n4. Substitute d = n + 14 to f, which gives f = n + 55.\n5. Substitute n = c + 8 to f, which gives f = c + 63.\n6. Substitute c = 17 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 23131,
"question": "Suppose a collection of variables is related by the following definitions: a = p + 4; x = w + 13; d = n + 14; p = g + 8; f = r + 17; w = d + 9; g = e + 18; z = c + 19; r = x + 2; c = 17; s = a + 8; e = z + 11; n = c + 8. Given that c = 17, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 5", "k": "i + 9", "v": "k + 17", "t": "v + 5", "z": "t + 2", "j": "z + 4", "e": "n + 5", "a": "e + 3", "u": "a + 18", "l": "u + 2", "r": "l + 18", "w": "r + 15", "n": 16}, "premises": {"n": 16}, "target": "j"}, "answer": {"steps": [["z", "t + 2", "t + 6"], ["t", "v + 5", "v + 11"], ["v", "k + 17", "k + 28"], ["k", "i + 9", "i + 37"], ["i", "n + 5", "n + 42"], ["n", 16, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"n": 16}, "is_reverse": true}}
| 23,132
| 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 = n + 5; z = t + 2; u = a + 18; n = 16; r = l + 18; w = r + 15; a = e + 3; l = u + 2; v = k + 17; t = v + 5; e = n + 5; j = z + 4; k = i + 9. If n = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 2 to j, which gives j = t + 6.\n2. Substitute t = v + 5 to j, which gives j = v + 11.\n3. Substitute v = k + 17 to j, which gives j = k + 28.\n4. Substitute k = i + 9 to j, which gives j = i + 37.\n5. Substitute i = n + 5 to j, which gives j = n + 42.\n6. Substitute n = 16 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 23132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = n + 5; z = t + 2; u = a + 18; n = 16; r = l + 18; w = r + 15; a = e + 3; l = u + 2; v = k + 17; t = v + 5; e = n + 5; j = z + 4; k = i + 9. If n = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"d": "s + 9", "y": "d + 10", "h": "y + 19", "b": "h + 6", "l": "b + 4", "z": "l + 9", "m": "s + 9", "p": "m + 18", "i": "p + 6", "x": "i + 18", "n": "x + 3", "f": "n + 15", "s": 16}, "premises": {"s": 16}, "target": "z"}, "answer": {"steps": [["l", "b + 4", "b + 13"], ["b", "h + 6", "h + 19"], ["h", "y + 19", "y + 38"], ["y", "d + 10", "d + 48"], ["d", "s + 9", "s + 57"], ["s", 16, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"s": 16}, "is_reverse": true}}
| 23,133
| 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 = b + 4; n = x + 3; b = h + 6; s = 16; x = i + 18; i = p + 6; z = l + 9; p = m + 18; m = s + 9; f = n + 15; y = d + 10; h = y + 19; d = s + 9. If s = 16, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 4 to z, which gives z = b + 13.\n2. Substitute b = h + 6 to z, which gives z = h + 19.\n3. Substitute h = y + 19 to z, which gives z = y + 38.\n4. Substitute y = d + 10 to z, which gives z = d + 48.\n5. Substitute d = s + 9 to z, which gives z = s + 57.\n6. Substitute s = 16 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 23133,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = b + 4; n = x + 3; b = h + 6; s = 16; x = i + 18; i = p + 6; z = l + 9; p = m + 18; m = s + 9; f = n + 15; y = d + 10; h = y + 19; d = s + 9. If s = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 5", "j": "f + 8", "x": "j + 11", "r": "x + 4", "w": "r + 1", "h": "w + 7", "q": "o + 6", "p": "q + 12", "u": "p + 11", "b": "u + 17", "g": "b + 1", "t": "g + 5", "o": 2}, "premises": {"o": 2}, "target": "h"}, "answer": {"steps": [["w", "r + 1", "r + 8"], ["r", "x + 4", "x + 12"], ["x", "j + 11", "j + 23"], ["j", "f + 8", "f + 31"], ["f", "o + 5", "o + 36"], ["o", 2, "38"]], "target_var_name": "h", "target_value": 38, "value_dict": {"o": 2}, "is_reverse": true}}
| 23,134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = o + 6; g = b + 1; u = p + 11; f = o + 5; b = u + 17; t = g + 5; h = w + 7; p = q + 12; j = f + 8; o = 2; x = j + 11; w = r + 1; r = x + 4. Given that o = 2, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 1 to h, which gives h = r + 8.\n2. Substitute r = x + 4 to h, which gives h = x + 12.\n3. Substitute x = j + 11 to h, which gives h = j + 23.\n4. Substitute j = f + 8 to h, which gives h = f + 31.\n5. Substitute f = o + 5 to h, which gives h = o + 36.\n6. Substitute o = 2 to h, which gives h = 38.\n\nThus, the final answer is h = \\boxed{38}.",
"index": 23134,
"question": "Suppose a collection of variables is related by the following definitions: q = o + 6; g = b + 1; u = p + 11; f = o + 5; b = u + 17; t = g + 5; h = w + 7; p = q + 12; j = f + 8; o = 2; x = j + 11; w = r + 1; r = x + 4. Given that o = 2, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 8", "p": "s + 2", "r": "p + 17", "z": "r + 3", "x": "z + 18", "t": "x + 12", "a": "w + 8", "f": "a + 11", "c": "f + 10", "q": "c + 16", "u": "q + 11", "n": "u + 8", "w": 8}, "premises": {"w": 8}, "target": "t"}, "answer": {"steps": [["x", "z + 18", "z + 30"], ["z", "r + 3", "r + 33"], ["r", "p + 17", "p + 50"], ["p", "s + 2", "s + 52"], ["s", "w + 8", "w + 60"], ["w", 8, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"w": 8}, "is_reverse": true}}
| 23,135
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 16; t = x + 12; x = z + 18; z = r + 3; n = u + 8; c = f + 10; w = 8; r = p + 17; f = a + 11; s = w + 8; p = s + 2; a = w + 8; u = q + 11. If w = 8, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 18 to t, which gives t = z + 30.\n2. Substitute z = r + 3 to t, which gives t = r + 33.\n3. Substitute r = p + 17 to t, which gives t = p + 50.\n4. Substitute p = s + 2 to t, which gives t = s + 52.\n5. Substitute s = w + 8 to t, which gives t = w + 60.\n6. Substitute w = 8 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 23135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = c + 16; t = x + 12; x = z + 18; z = r + 3; n = u + 8; c = f + 10; w = 8; r = p + 17; f = a + 11; s = w + 8; p = s + 2; a = w + 8; u = q + 11. If w = 8, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 8", "k": "b + 10", "w": "k + 9", "s": "w + 19", "c": "s + 16", "j": "c + 6", "e": "d + 3", "z": "e + 10", "x": "z + 13", "l": "x + 10", "p": "l + 9", "r": "p + 3", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["c", "s + 16", "s + 22"], ["s", "w + 19", "w + 41"], ["w", "k + 9", "k + 50"], ["k", "b + 10", "b + 60"], ["b", "d + 8", "d + 68"], ["d", 4, "72"]], "target_var_name": "j", "target_value": 72, "value_dict": {"d": 4}, "is_reverse": true}}
| 23,136
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = x + 10; p = l + 9; w = k + 9; x = z + 13; e = d + 3; z = e + 10; c = s + 16; k = b + 10; j = c + 6; s = w + 19; r = p + 3; b = d + 8; d = 4. If d = 4, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 16 to j, which gives j = s + 22.\n2. Substitute s = w + 19 to j, which gives j = w + 41.\n3. Substitute w = k + 9 to j, which gives j = k + 50.\n4. Substitute k = b + 10 to j, which gives j = b + 60.\n5. Substitute b = d + 8 to j, which gives j = d + 68.\n6. Substitute d = 4 to j, which gives j = 72.\n\nThus, the final answer is j = \\boxed{72}.",
"index": 23136,
"question": "Consider a system of variables where each variable is defined as follows: l = x + 10; p = l + 9; w = k + 9; x = z + 13; e = d + 3; z = e + 10; c = s + 16; k = b + 10; j = c + 6; s = w + 19; r = p + 3; b = d + 8; d = 4. If d = 4, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 18", "c": "j + 6", "z": "c + 20", "d": "z + 14", "y": "d + 3", "b": "y + 6", "w": "n + 9", "k": "w + 13", "h": "k + 2", "u": "h + 15", "i": "u + 13", "m": "i + 17", "n": 16}, "premises": {"n": 16}, "target": "b"}, "answer": {"steps": [["y", "d + 3", "d + 9"], ["d", "z + 14", "z + 23"], ["z", "c + 20", "c + 43"], ["c", "j + 6", "j + 49"], ["j", "n + 18", "n + 67"], ["n", 16, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"n": 16}, "is_reverse": true}}
| 23,137
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 13; n = 16; h = k + 2; m = i + 17; w = n + 9; c = j + 6; u = h + 15; z = c + 20; j = n + 18; k = w + 13; b = y + 6; y = d + 3; d = z + 14. If n = 16, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 3 to b, which gives b = d + 9.\n2. Substitute d = z + 14 to b, which gives b = z + 23.\n3. Substitute z = c + 20 to b, which gives b = c + 43.\n4. Substitute c = j + 6 to b, which gives b = j + 49.\n5. Substitute j = n + 18 to b, which gives b = n + 67.\n6. Substitute n = 16 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 23137,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 13; n = 16; h = k + 2; m = i + 17; w = n + 9; c = j + 6; u = h + 15; z = c + 20; j = n + 18; k = w + 13; b = y + 6; y = d + 3; d = z + 14. If n = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"d": "l + 19", "g": "d + 16", "k": "g + 20", "f": "k + 8", "m": "f + 5", "z": "m + 19", "e": "l + 19", "t": "e + 5", "q": "t + 12", "b": "q + 20", "a": "b + 15", "r": "a + 7", "l": 1}, "premises": {"l": 1}, "target": "z"}, "answer": {"steps": [["m", "f + 5", "f + 24"], ["f", "k + 8", "k + 32"], ["k", "g + 20", "g + 52"], ["g", "d + 16", "d + 68"], ["d", "l + 19", "l + 87"], ["l", 1, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"l": 1}, "is_reverse": true}}
| 23,138
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = g + 20; e = l + 19; q = t + 12; f = k + 8; d = l + 19; t = e + 5; r = a + 7; a = b + 15; b = q + 20; l = 1; m = f + 5; z = m + 19; g = d + 16. Given that l = 1, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 5 to z, which gives z = f + 24.\n2. Substitute f = k + 8 to z, which gives z = k + 32.\n3. Substitute k = g + 20 to z, which gives z = g + 52.\n4. Substitute g = d + 16 to z, which gives z = d + 68.\n5. Substitute d = l + 19 to z, which gives z = l + 87.\n6. Substitute l = 1 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 23138,
"question": "Suppose a collection of variables is related by the following definitions: k = g + 20; e = l + 19; q = t + 12; f = k + 8; d = l + 19; t = e + 5; r = a + 7; a = b + 15; b = q + 20; l = 1; m = f + 5; z = m + 19; g = d + 16. Given that l = 1, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 16", "k": "l + 14", "o": "k + 5", "r": "o + 11", "d": "r + 19", "p": "d + 2", "w": "i + 11", "g": "w + 4", "h": "g + 3", "n": "h + 10", "m": "n + 4", "s": "m + 14", "i": 16}, "premises": {"i": 16}, "target": "p"}, "answer": {"steps": [["d", "r + 19", "r + 21"], ["r", "o + 11", "o + 32"], ["o", "k + 5", "k + 37"], ["k", "l + 14", "l + 51"], ["l", "i + 16", "i + 67"], ["i", 16, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"i": 16}, "is_reverse": true}}
| 23,139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 3; s = m + 14; m = n + 4; w = i + 11; g = w + 4; n = h + 10; p = d + 2; k = l + 14; r = o + 11; i = 16; d = r + 19; o = k + 5; l = i + 16. Given that i = 16, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 19 to p, which gives p = r + 21.\n2. Substitute r = o + 11 to p, which gives p = o + 32.\n3. Substitute o = k + 5 to p, which gives p = k + 37.\n4. Substitute k = l + 14 to p, which gives p = l + 51.\n5. Substitute l = i + 16 to p, which gives p = i + 67.\n6. Substitute i = 16 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 23139,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 3; s = m + 14; m = n + 4; w = i + 11; g = w + 4; n = h + 10; p = d + 2; k = l + 14; r = o + 11; i = 16; d = r + 19; o = k + 5; l = i + 16. Given that i = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 1", "c": "j + 15", "v": "c + 1", "m": "v + 9", "n": "m + 12", "g": "n + 14", "u": "z + 16", "r": "u + 10", "t": "r + 13", "q": "t + 6", "o": "q + 2", "h": "o + 17", "z": 16}, "premises": {"z": 16}, "target": "g"}, "answer": {"steps": [["n", "m + 12", "m + 26"], ["m", "v + 9", "v + 35"], ["v", "c + 1", "c + 36"], ["c", "j + 15", "j + 51"], ["j", "z + 1", "z + 52"], ["z", 16, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"z": 16}, "is_reverse": true}}
| 23,140
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 9; z = 16; v = c + 1; o = q + 2; q = t + 6; j = z + 1; u = z + 16; t = r + 13; r = u + 10; c = j + 15; h = o + 17; g = n + 14; n = m + 12. If z = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 12 to g, which gives g = m + 26.\n2. Substitute m = v + 9 to g, which gives g = v + 35.\n3. Substitute v = c + 1 to g, which gives g = c + 36.\n4. Substitute c = j + 15 to g, which gives g = j + 51.\n5. Substitute j = z + 1 to g, which gives g = z + 52.\n6. Substitute z = 16 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 23140,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 9; z = 16; v = c + 1; o = q + 2; q = t + 6; j = z + 1; u = z + 16; t = r + 13; r = u + 10; c = j + 15; h = o + 17; g = n + 14; n = m + 12. If z = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 14", "n": "q + 14", "l": "n + 4", "p": "l + 4", "m": "p + 12", "k": "m + 1", "u": "a + 12", "h": "u + 11", "i": "h + 1", "f": "i + 20", "z": "f + 12", "t": "z + 19", "a": 19}, "premises": {"a": 19}, "target": "k"}, "answer": {"steps": [["m", "p + 12", "p + 13"], ["p", "l + 4", "l + 17"], ["l", "n + 4", "n + 21"], ["n", "q + 14", "q + 35"], ["q", "a + 14", "a + 49"], ["a", 19, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"a": 19}, "is_reverse": true}}
| 23,141
| 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 + 4; i = h + 1; f = i + 20; h = u + 11; q = a + 14; p = l + 4; t = z + 19; u = a + 12; k = m + 1; m = p + 12; n = q + 14; a = 19; z = f + 12. If a = 19, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 12 to k, which gives k = p + 13.\n2. Substitute p = l + 4 to k, which gives k = l + 17.\n3. Substitute l = n + 4 to k, which gives k = n + 21.\n4. Substitute n = q + 14 to k, which gives k = q + 35.\n5. Substitute q = a + 14 to k, which gives k = a + 49.\n6. Substitute a = 19 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 23141,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 4; i = h + 1; f = i + 20; h = u + 11; q = a + 14; p = l + 4; t = z + 19; u = a + 12; k = m + 1; m = p + 12; n = q + 14; a = 19; z = f + 12. If a = 19, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 16", "o": "v + 6", "q": "o + 5", "b": "q + 13", "p": "b + 4", "i": "p + 5", "r": "u + 2", "c": "r + 16", "l": "c + 12", "g": "l + 13", "j": "g + 13", "t": "j + 11", "u": 6}, "premises": {"u": 6}, "target": "i"}, "answer": {"steps": [["p", "b + 4", "b + 9"], ["b", "q + 13", "q + 22"], ["q", "o + 5", "o + 27"], ["o", "v + 6", "v + 33"], ["v", "u + 16", "u + 49"], ["u", 6, "55"]], "target_var_name": "i", "target_value": 55, "value_dict": {"u": 6}, "is_reverse": true}}
| 23,142
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = b + 4; v = u + 16; q = o + 5; g = l + 13; j = g + 13; l = c + 12; r = u + 2; b = q + 13; u = 6; o = v + 6; t = j + 11; c = r + 16; i = p + 5. Given that u = 6, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 4 to i, which gives i = b + 9.\n2. Substitute b = q + 13 to i, which gives i = q + 22.\n3. Substitute q = o + 5 to i, which gives i = o + 27.\n4. Substitute o = v + 6 to i, which gives i = v + 33.\n5. Substitute v = u + 16 to i, which gives i = u + 49.\n6. Substitute u = 6 to i, which gives i = 55.\n\nThus, the final answer is i = \\boxed{55}.",
"index": 23142,
"question": "Suppose a collection of variables is related by the following definitions: p = b + 4; v = u + 16; q = o + 5; g = l + 13; j = g + 13; l = c + 12; r = u + 2; b = q + 13; u = 6; o = v + 6; t = j + 11; c = r + 16; i = p + 5. Given that u = 6, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 15", "d": "f + 5", "l": "d + 15", "u": "l + 16", "c": "u + 18", "v": "c + 8", "r": "e + 10", "p": "r + 17", "z": "p + 14", "i": "z + 13", "n": "i + 16", "g": "n + 6", "e": 4}, "premises": {"e": 4}, "target": "v"}, "answer": {"steps": [["c", "u + 18", "u + 26"], ["u", "l + 16", "l + 42"], ["l", "d + 15", "d + 57"], ["d", "f + 5", "f + 62"], ["f", "e + 15", "e + 77"], ["e", 4, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"e": 4}, "is_reverse": true}}
| 23,143
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 8; f = e + 15; c = u + 18; u = l + 16; e = 4; i = z + 13; d = f + 5; p = r + 17; r = e + 10; g = n + 6; z = p + 14; n = i + 16; l = d + 15. If e = 4, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 18 to v, which gives v = u + 26.\n2. Substitute u = l + 16 to v, which gives v = l + 42.\n3. Substitute l = d + 15 to v, which gives v = d + 57.\n4. Substitute d = f + 5 to v, which gives v = f + 62.\n5. Substitute f = e + 15 to v, which gives v = e + 77.\n6. Substitute e = 4 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 23143,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 8; f = e + 15; c = u + 18; u = l + 16; e = 4; i = z + 13; d = f + 5; p = r + 17; r = e + 10; g = n + 6; z = p + 14; n = i + 16; l = d + 15. If e = 4, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"y": "k + 16", "b": "y + 18", "h": "b + 12", "q": "h + 18", "o": "q + 12", "n": "o + 15", "z": "k + 3", "l": "z + 11", "v": "l + 2", "p": "v + 14", "j": "p + 17", "f": "j + 9", "k": 2}, "premises": {"k": 2}, "target": "n"}, "answer": {"steps": [["o", "q + 12", "q + 27"], ["q", "h + 18", "h + 45"], ["h", "b + 12", "b + 57"], ["b", "y + 18", "y + 75"], ["y", "k + 16", "k + 91"], ["k", 2, "93"]], "target_var_name": "n", "target_value": 93, "value_dict": {"k": 2}, "is_reverse": true}}
| 23,144
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = z + 11; y = k + 16; p = v + 14; q = h + 18; k = 2; b = y + 18; j = p + 17; o = q + 12; z = k + 3; v = l + 2; f = j + 9; n = o + 15; h = b + 12. If k = 2, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 12 to n, which gives n = q + 27.\n2. Substitute q = h + 18 to n, which gives n = h + 45.\n3. Substitute h = b + 12 to n, which gives n = b + 57.\n4. Substitute b = y + 18 to n, which gives n = y + 75.\n5. Substitute y = k + 16 to n, which gives n = k + 91.\n6. Substitute k = 2 to n, which gives n = 93.\n\nThus, the final answer is n = \\boxed{93}.",
"index": 23144,
"question": "Consider a system of variables where each variable is defined as follows: l = z + 11; y = k + 16; p = v + 14; q = h + 18; k = 2; b = y + 18; j = p + 17; o = q + 12; z = k + 3; v = l + 2; f = j + 9; n = o + 15; h = b + 12. If k = 2, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"e": "f + 1", "z": "e + 6", "l": "z + 3", "p": "l + 10", "t": "p + 11", "w": "t + 1", "b": "f + 19", "n": "b + 2", "a": "n + 10", "k": "a + 13", "o": "k + 3", "d": "o + 10", "f": 3}, "premises": {"f": 3}, "target": "w"}, "answer": {"steps": [["t", "p + 11", "p + 12"], ["p", "l + 10", "l + 22"], ["l", "z + 3", "z + 25"], ["z", "e + 6", "e + 31"], ["e", "f + 1", "f + 32"], ["f", 3, "35"]], "target_var_name": "w", "target_value": 35, "value_dict": {"f": 3}, "is_reverse": true}}
| 23,145
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 10; f = 3; l = z + 3; b = f + 19; o = k + 3; k = a + 13; n = b + 2; e = f + 1; t = p + 11; p = l + 10; z = e + 6; a = n + 10; w = t + 1. If f = 3, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 35,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 11 to w, which gives w = p + 12.\n2. Substitute p = l + 10 to w, which gives w = l + 22.\n3. Substitute l = z + 3 to w, which gives w = z + 25.\n4. Substitute z = e + 6 to w, which gives w = e + 31.\n5. Substitute e = f + 1 to w, which gives w = f + 32.\n6. Substitute f = 3 to w, which gives w = 35.\n\nThus, the final answer is w = \\boxed{35}.",
"index": 23145,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 10; f = 3; l = z + 3; b = f + 19; o = k + 3; k = a + 13; n = b + 2; e = f + 1; t = p + 11; p = l + 10; z = e + 6; a = n + 10; w = t + 1. If f = 3, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 13", "p": "g + 17", "d": "p + 8", "m": "d + 10", "z": "m + 15", "t": "z + 6", "y": "w + 19", "o": "y + 3", "u": "o + 18", "i": "u + 6", "c": "i + 18", "q": "c + 11", "w": 19}, "premises": {"w": 19}, "target": "t"}, "answer": {"steps": [["z", "m + 15", "m + 21"], ["m", "d + 10", "d + 31"], ["d", "p + 8", "p + 39"], ["p", "g + 17", "g + 56"], ["g", "w + 13", "w + 69"], ["w", 19, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"w": 19}, "is_reverse": true}}
| 23,146
| 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 = w + 19; d = p + 8; g = w + 13; w = 19; o = y + 3; c = i + 18; i = u + 6; p = g + 17; m = d + 10; q = c + 11; u = o + 18; t = z + 6; z = m + 15. If w = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 15 to t, which gives t = m + 21.\n2. Substitute m = d + 10 to t, which gives t = d + 31.\n3. Substitute d = p + 8 to t, which gives t = p + 39.\n4. Substitute p = g + 17 to t, which gives t = g + 56.\n5. Substitute g = w + 13 to t, which gives t = w + 69.\n6. Substitute w = 19 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 23146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 19; d = p + 8; g = w + 13; w = 19; o = y + 3; c = i + 18; i = u + 6; p = g + 17; m = d + 10; q = c + 11; u = o + 18; t = z + 6; z = m + 15. If w = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 13", "v": "z + 8", "r": "v + 4", "u": "r + 9", "n": "u + 12", "b": "n + 6", "o": "x + 14", "a": "o + 3", "l": "a + 9", "f": "l + 8", "c": "f + 9", "g": "c + 8", "x": 17}, "premises": {"x": 17}, "target": "b"}, "answer": {"steps": [["n", "u + 12", "u + 18"], ["u", "r + 9", "r + 27"], ["r", "v + 4", "v + 31"], ["v", "z + 8", "z + 39"], ["z", "x + 13", "x + 52"], ["x", 17, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"x": 17}, "is_reverse": true}}
| 23,147
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 8; v = z + 8; o = x + 14; x = 17; n = u + 12; r = v + 4; a = o + 3; c = f + 9; u = r + 9; l = a + 9; b = n + 6; f = l + 8; z = x + 13. If x = 17, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 12 to b, which gives b = u + 18.\n2. Substitute u = r + 9 to b, which gives b = r + 27.\n3. Substitute r = v + 4 to b, which gives b = v + 31.\n4. Substitute v = z + 8 to b, which gives b = z + 39.\n5. Substitute z = x + 13 to b, which gives b = x + 52.\n6. Substitute x = 17 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 23147,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 8; v = z + 8; o = x + 14; x = 17; n = u + 12; r = v + 4; a = o + 3; c = f + 9; u = r + 9; l = a + 9; b = n + 6; f = l + 8; z = x + 13. If x = 17, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 4", "y": "j + 12", "d": "y + 13", "x": "d + 17", "b": "x + 5", "l": "b + 16", "p": "r + 8", "n": "p + 16", "k": "n + 13", "t": "k + 2", "e": "t + 11", "u": "e + 14", "r": 17}, "premises": {"r": 17}, "target": "l"}, "answer": {"steps": [["b", "x + 5", "x + 21"], ["x", "d + 17", "d + 38"], ["d", "y + 13", "y + 51"], ["y", "j + 12", "j + 63"], ["j", "r + 4", "r + 67"], ["r", 17, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"r": 17}, "is_reverse": true}}
| 23,148
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 13; r = 17; k = n + 13; b = x + 5; l = b + 16; n = p + 16; x = d + 17; e = t + 11; u = e + 14; p = r + 8; y = j + 12; j = r + 4; t = k + 2. Given that r = 17, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 5 to l, which gives l = x + 21.\n2. Substitute x = d + 17 to l, which gives l = d + 38.\n3. Substitute d = y + 13 to l, which gives l = y + 51.\n4. Substitute y = j + 12 to l, which gives l = j + 63.\n5. Substitute j = r + 4 to l, which gives l = r + 67.\n6. Substitute r = 17 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 23148,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 13; r = 17; k = n + 13; b = x + 5; l = b + 16; n = p + 16; x = d + 17; e = t + 11; u = e + 14; p = r + 8; y = j + 12; j = r + 4; t = k + 2. Given that r = 17, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 20", "u": "d + 9", "n": "u + 2", "o": "n + 16", "m": "o + 8", "a": "m + 9", "r": "x + 13", "l": "r + 20", "h": "l + 14", "t": "h + 19", "y": "t + 12", "v": "y + 9", "x": 5}, "premises": {"x": 5}, "target": "a"}, "answer": {"steps": [["m", "o + 8", "o + 17"], ["o", "n + 16", "n + 33"], ["n", "u + 2", "u + 35"], ["u", "d + 9", "d + 44"], ["d", "x + 20", "x + 64"], ["x", 5, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"x": 5}, "is_reverse": true}}
| 23,149
| 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 = o + 8; x = 5; l = r + 20; d = x + 20; h = l + 14; r = x + 13; u = d + 9; n = u + 2; a = m + 9; o = n + 16; v = y + 9; t = h + 19; y = t + 12. If x = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 8 to a, which gives a = o + 17.\n2. Substitute o = n + 16 to a, which gives a = n + 33.\n3. Substitute n = u + 2 to a, which gives a = u + 35.\n4. Substitute u = d + 9 to a, which gives a = d + 44.\n5. Substitute d = x + 20 to a, which gives a = x + 64.\n6. Substitute x = 5 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 23149,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = o + 8; x = 5; l = r + 20; d = x + 20; h = l + 14; r = x + 13; u = d + 9; n = u + 2; a = m + 9; o = n + 16; v = y + 9; t = h + 19; y = t + 12. If x = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 20", "y": "z + 7", "j": "y + 4", "n": "j + 2", "l": "n + 16", "t": "l + 15", "k": "f + 20", "b": "k + 18", "w": "b + 2", "o": "w + 1", "m": "o + 3", "g": "m + 4", "f": 1}, "premises": {"f": 1}, "target": "t"}, "answer": {"steps": [["l", "n + 16", "n + 31"], ["n", "j + 2", "j + 33"], ["j", "y + 4", "y + 37"], ["y", "z + 7", "z + 44"], ["z", "f + 20", "f + 64"], ["f", 1, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"f": 1}, "is_reverse": true}}
| 23,150
| 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 + 18; t = l + 15; o = w + 1; l = n + 16; f = 1; g = m + 4; m = o + 3; n = j + 2; y = z + 7; w = b + 2; z = f + 20; k = f + 20; j = y + 4. If f = 1, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 16 to t, which gives t = n + 31.\n2. Substitute n = j + 2 to t, which gives t = j + 33.\n3. Substitute j = y + 4 to t, which gives t = y + 37.\n4. Substitute y = z + 7 to t, which gives t = z + 44.\n5. Substitute z = f + 20 to t, which gives t = f + 64.\n6. Substitute f = 1 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 23150,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 18; t = l + 15; o = w + 1; l = n + 16; f = 1; g = m + 4; m = o + 3; n = j + 2; y = z + 7; w = b + 2; z = f + 20; k = f + 20; j = y + 4. If f = 1, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 18", "n": "o + 5", "c": "n + 17", "a": "c + 14", "t": "a + 20", "u": "t + 9", "r": "d + 7", "g": "r + 19", "p": "g + 9", "e": "p + 6", "z": "e + 5", "x": "z + 8", "d": 9}, "premises": {"d": 9}, "target": "u"}, "answer": {"steps": [["t", "a + 20", "a + 29"], ["a", "c + 14", "c + 43"], ["c", "n + 17", "n + 60"], ["n", "o + 5", "o + 65"], ["o", "d + 18", "d + 83"], ["d", 9, "92"]], "target_var_name": "u", "target_value": 92, "value_dict": {"d": 9}, "is_reverse": true}}
| 23,151
| 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 = t + 9; p = g + 9; c = n + 17; z = e + 5; r = d + 7; g = r + 19; o = d + 18; d = 9; e = p + 6; a = c + 14; n = o + 5; x = z + 8; t = a + 20. If d = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 20 to u, which gives u = a + 29.\n2. Substitute a = c + 14 to u, which gives u = c + 43.\n3. Substitute c = n + 17 to u, which gives u = n + 60.\n4. Substitute n = o + 5 to u, which gives u = o + 65.\n5. Substitute o = d + 18 to u, which gives u = d + 83.\n6. Substitute d = 9 to u, which gives u = 92.\n\nThus, the final answer is u = \\boxed{92}.",
"index": 23151,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = t + 9; p = g + 9; c = n + 17; z = e + 5; r = d + 7; g = r + 19; o = d + 18; d = 9; e = p + 6; a = c + 14; n = o + 5; x = z + 8; t = a + 20. If d = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 1", "k": "r + 20", "x": "k + 4", "s": "x + 7", "w": "s + 5", "h": "w + 16", "m": "i + 7", "v": "m + 2", "d": "v + 19", "b": "d + 14", "l": "b + 12", "f": "l + 5", "i": 10}, "premises": {"i": 10}, "target": "h"}, "answer": {"steps": [["w", "s + 5", "s + 21"], ["s", "x + 7", "x + 28"], ["x", "k + 4", "k + 32"], ["k", "r + 20", "r + 52"], ["r", "i + 1", "i + 53"], ["i", 10, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"i": 10}, "is_reverse": true}}
| 23,152
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = 10; l = b + 12; k = r + 20; r = i + 1; x = k + 4; d = v + 19; b = d + 14; h = w + 16; f = l + 5; m = i + 7; w = s + 5; s = x + 7; v = m + 2. Given that i = 10, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 5 to h, which gives h = s + 21.\n2. Substitute s = x + 7 to h, which gives h = x + 28.\n3. Substitute x = k + 4 to h, which gives h = k + 32.\n4. Substitute k = r + 20 to h, which gives h = r + 52.\n5. Substitute r = i + 1 to h, which gives h = i + 53.\n6. Substitute i = 10 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 23152,
"question": "Suppose a collection of variables is related by the following definitions: i = 10; l = b + 12; k = r + 20; r = i + 1; x = k + 4; d = v + 19; b = d + 14; h = w + 16; f = l + 5; m = i + 7; w = s + 5; s = x + 7; v = m + 2. Given that i = 10, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 14", "v": "h + 1", "i": "v + 8", "g": "i + 11", "s": "g + 13", "r": "s + 3", "f": "z + 15", "b": "f + 15", "u": "b + 11", "e": "u + 6", "y": "e + 3", "c": "y + 17", "z": 1}, "premises": {"z": 1}, "target": "r"}, "answer": {"steps": [["s", "g + 13", "g + 16"], ["g", "i + 11", "i + 27"], ["i", "v + 8", "v + 35"], ["v", "h + 1", "h + 36"], ["h", "z + 14", "z + 50"], ["z", 1, "51"]], "target_var_name": "r", "target_value": 51, "value_dict": {"z": 1}, "is_reverse": true}}
| 23,153
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 11; b = f + 15; r = s + 3; v = h + 1; c = y + 17; u = b + 11; y = e + 3; h = z + 14; f = z + 15; e = u + 6; s = g + 13; i = v + 8; z = 1. If z = 1, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 13 to r, which gives r = g + 16.\n2. Substitute g = i + 11 to r, which gives r = i + 27.\n3. Substitute i = v + 8 to r, which gives r = v + 35.\n4. Substitute v = h + 1 to r, which gives r = h + 36.\n5. Substitute h = z + 14 to r, which gives r = z + 50.\n6. Substitute z = 1 to r, which gives r = 51.\n\nThus, the final answer is r = \\boxed{51}.",
"index": 23153,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 11; b = f + 15; r = s + 3; v = h + 1; c = y + 17; u = b + 11; y = e + 3; h = z + 14; f = z + 15; e = u + 6; s = g + 13; i = v + 8; z = 1. If z = 1, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 10", "a": "y + 6", "j": "a + 6", "u": "j + 15", "k": "u + 11", "f": "k + 12", "v": "s + 19", "l": "v + 6", "g": "l + 18", "n": "g + 15", "o": "n + 6", "p": "o + 9", "s": 14}, "premises": {"s": 14}, "target": "f"}, "answer": {"steps": [["k", "u + 11", "u + 23"], ["u", "j + 15", "j + 38"], ["j", "a + 6", "a + 44"], ["a", "y + 6", "y + 50"], ["y", "s + 10", "s + 60"], ["s", 14, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"s": 14}, "is_reverse": true}}
| 23,154
| 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 = j + 15; y = s + 10; p = o + 9; a = y + 6; l = v + 6; f = k + 12; g = l + 18; o = n + 6; s = 14; k = u + 11; v = s + 19; j = a + 6; n = g + 15. If s = 14, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 11 to f, which gives f = u + 23.\n2. Substitute u = j + 15 to f, which gives f = j + 38.\n3. Substitute j = a + 6 to f, which gives f = a + 44.\n4. Substitute a = y + 6 to f, which gives f = y + 50.\n5. Substitute y = s + 10 to f, which gives f = s + 60.\n6. Substitute s = 14 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 23154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = j + 15; y = s + 10; p = o + 9; a = y + 6; l = v + 6; f = k + 12; g = l + 18; o = n + 6; s = 14; k = u + 11; v = s + 19; j = a + 6; n = g + 15. If s = 14, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 11", "x": "o + 12", "c": "x + 1", "j": "c + 1", "m": "j + 16", "b": "m + 18", "r": "g + 4", "h": "r + 7", "e": "h + 9", "u": "e + 11", "p": "u + 11", "q": "p + 9", "g": 8}, "premises": {"g": 8}, "target": "b"}, "answer": {"steps": [["m", "j + 16", "j + 34"], ["j", "c + 1", "c + 35"], ["c", "x + 1", "x + 36"], ["x", "o + 12", "o + 48"], ["o", "g + 11", "g + 59"], ["g", 8, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"g": 8}, "is_reverse": true}}
| 23,155
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 11; c = x + 1; p = u + 11; q = p + 9; b = m + 18; r = g + 4; g = 8; m = j + 16; e = h + 9; j = c + 1; x = o + 12; h = r + 7; u = e + 11. If g = 8, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 16 to b, which gives b = j + 34.\n2. Substitute j = c + 1 to b, which gives b = c + 35.\n3. Substitute c = x + 1 to b, which gives b = x + 36.\n4. Substitute x = o + 12 to b, which gives b = o + 48.\n5. Substitute o = g + 11 to b, which gives b = g + 59.\n6. Substitute g = 8 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 23155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 11; c = x + 1; p = u + 11; q = p + 9; b = m + 18; r = g + 4; g = 8; m = j + 16; e = h + 9; j = c + 1; x = o + 12; h = r + 7; u = e + 11. If g = 8, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 3", "n": "k + 5", "b": "n + 1", "g": "b + 16", "f": "g + 18", "t": "f + 10", "q": "e + 9", "y": "q + 16", "a": "y + 1", "l": "a + 19", "x": "l + 19", "p": "x + 9", "e": 11}, "premises": {"e": 11}, "target": "t"}, "answer": {"steps": [["f", "g + 18", "g + 28"], ["g", "b + 16", "b + 44"], ["b", "n + 1", "n + 45"], ["n", "k + 5", "k + 50"], ["k", "e + 3", "e + 53"], ["e", 11, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"e": 11}, "is_reverse": true}}
| 23,156
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 16; f = g + 18; x = l + 19; y = q + 16; k = e + 3; q = e + 9; t = f + 10; a = y + 1; b = n + 1; e = 11; l = a + 19; n = k + 5; p = x + 9. If e = 11, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 18 to t, which gives t = g + 28.\n2. Substitute g = b + 16 to t, which gives t = b + 44.\n3. Substitute b = n + 1 to t, which gives t = n + 45.\n4. Substitute n = k + 5 to t, which gives t = k + 50.\n5. Substitute k = e + 3 to t, which gives t = e + 53.\n6. Substitute e = 11 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 23156,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 16; f = g + 18; x = l + 19; y = q + 16; k = e + 3; q = e + 9; t = f + 10; a = y + 1; b = n + 1; e = 11; l = a + 19; n = k + 5; p = x + 9. If e = 11, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "j + 20", "b": "d + 16", "z": "b + 18", "v": "z + 7", "a": "v + 15", "s": "a + 6", "w": "j + 8", "u": "w + 5", "c": "u + 5", "r": "c + 1", "p": "r + 6", "i": "p + 1", "j": 14}, "premises": {"j": 14}, "target": "s"}, "answer": {"steps": [["a", "v + 15", "v + 21"], ["v", "z + 7", "z + 28"], ["z", "b + 18", "b + 46"], ["b", "d + 16", "d + 62"], ["d", "j + 20", "j + 82"], ["j", 14, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"j": 14}, "is_reverse": true}}
| 23,157
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = b + 18; s = a + 6; b = d + 16; v = z + 7; j = 14; w = j + 8; c = u + 5; a = v + 15; u = w + 5; i = p + 1; r = c + 1; p = r + 6; d = j + 20. If j = 14, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 15 to s, which gives s = v + 21.\n2. Substitute v = z + 7 to s, which gives s = z + 28.\n3. Substitute z = b + 18 to s, which gives s = b + 46.\n4. Substitute b = d + 16 to s, which gives s = d + 62.\n5. Substitute d = j + 20 to s, which gives s = j + 82.\n6. Substitute j = 14 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 23157,
"question": "Consider a system of variables where each variable is defined as follows: z = b + 18; s = a + 6; b = d + 16; v = z + 7; j = 14; w = j + 8; c = u + 5; a = v + 15; u = w + 5; i = p + 1; r = c + 1; p = r + 6; d = j + 20. If j = 14, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 18", "r": "s + 3", "b": "r + 20", "t": "b + 8", "z": "t + 3", "q": "z + 6", "j": "h + 6", "p": "j + 15", "k": "p + 5", "n": "k + 6", "e": "n + 1", "v": "e + 15", "h": 13}, "premises": {"h": 13}, "target": "q"}, "answer": {"steps": [["z", "t + 3", "t + 9"], ["t", "b + 8", "b + 17"], ["b", "r + 20", "r + 37"], ["r", "s + 3", "s + 40"], ["s", "h + 18", "h + 58"], ["h", 13, "71"]], "target_var_name": "q", "target_value": 71, "value_dict": {"h": 13}, "is_reverse": true}}
| 23,158
| 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 = h + 18; j = h + 6; t = b + 8; v = e + 15; b = r + 20; h = 13; e = n + 1; r = s + 3; z = t + 3; n = k + 6; k = p + 5; q = z + 6; p = j + 15. If h = 13, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 3 to q, which gives q = t + 9.\n2. Substitute t = b + 8 to q, which gives q = b + 17.\n3. Substitute b = r + 20 to q, which gives q = r + 37.\n4. Substitute r = s + 3 to q, which gives q = s + 40.\n5. Substitute s = h + 18 to q, which gives q = h + 58.\n6. Substitute h = 13 to q, which gives q = 71.\n\nThus, the final answer is q = \\boxed{71}.",
"index": 23158,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 18; j = h + 6; t = b + 8; v = e + 15; b = r + 20; h = 13; e = n + 1; r = s + 3; z = t + 3; n = k + 6; k = p + 5; q = z + 6; p = j + 15. If h = 13, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 5", "u": "r + 15", "v": "u + 19", "n": "v + 9", "h": "n + 8", "z": "h + 7", "x": "d + 18", "p": "x + 9", "k": "p + 6", "l": "k + 8", "e": "l + 19", "t": "e + 12", "d": 13}, "premises": {"d": 13}, "target": "z"}, "answer": {"steps": [["h", "n + 8", "n + 15"], ["n", "v + 9", "v + 24"], ["v", "u + 19", "u + 43"], ["u", "r + 15", "r + 58"], ["r", "d + 5", "d + 63"], ["d", 13, "76"]], "target_var_name": "z", "target_value": 76, "value_dict": {"d": 13}, "is_reverse": true}}
| 23,159
| 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 + 19; h = n + 8; u = r + 15; d = 13; p = x + 9; z = h + 7; r = d + 5; v = u + 19; x = d + 18; k = p + 6; n = v + 9; t = e + 12; l = k + 8. If d = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 8 to z, which gives z = n + 15.\n2. Substitute n = v + 9 to z, which gives z = v + 24.\n3. Substitute v = u + 19 to z, which gives z = u + 43.\n4. Substitute u = r + 15 to z, which gives z = r + 58.\n5. Substitute r = d + 5 to z, which gives z = d + 63.\n6. Substitute d = 13 to z, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 23159,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = l + 19; h = n + 8; u = r + 15; d = 13; p = x + 9; z = h + 7; r = d + 5; v = u + 19; x = d + 18; k = p + 6; n = v + 9; t = e + 12; l = k + 8. If d = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 14", "r": "k + 2", "h": "r + 18", "a": "h + 13", "d": "a + 4", "c": "d + 5", "i": "v + 14", "z": "i + 3", "m": "z + 7", "x": "m + 10", "w": "x + 6", "q": "w + 4", "v": 3}, "premises": {"v": 3}, "target": "c"}, "answer": {"steps": [["d", "a + 4", "a + 9"], ["a", "h + 13", "h + 22"], ["h", "r + 18", "r + 40"], ["r", "k + 2", "k + 42"], ["k", "v + 14", "v + 56"], ["v", 3, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"v": 3}, "is_reverse": true}}
| 23,160
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = 3; m = z + 7; i = v + 14; h = r + 18; z = i + 3; a = h + 13; k = v + 14; q = w + 4; c = d + 5; d = a + 4; x = m + 10; w = x + 6; r = k + 2. Given that v = 3, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 4 to c, which gives c = a + 9.\n2. Substitute a = h + 13 to c, which gives c = h + 22.\n3. Substitute h = r + 18 to c, which gives c = r + 40.\n4. Substitute r = k + 2 to c, which gives c = k + 42.\n5. Substitute k = v + 14 to c, which gives c = v + 56.\n6. Substitute v = 3 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 23160,
"question": "Suppose a collection of variables is related by the following definitions: v = 3; m = z + 7; i = v + 14; h = r + 18; z = i + 3; a = h + 13; k = v + 14; q = w + 4; c = d + 5; d = a + 4; x = m + 10; w = x + 6; r = k + 2. Given that v = 3, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 18", "x": "n + 8", "a": "x + 8", "t": "a + 17", "w": "t + 17", "z": "w + 19", "k": "j + 12", "v": "k + 4", "p": "v + 4", "m": "p + 12", "b": "m + 13", "y": "b + 4", "j": 5}, "premises": {"j": 5}, "target": "z"}, "answer": {"steps": [["w", "t + 17", "t + 36"], ["t", "a + 17", "a + 53"], ["a", "x + 8", "x + 61"], ["x", "n + 8", "n + 69"], ["n", "j + 18", "j + 87"], ["j", 5, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"j": 5}, "is_reverse": true}}
| 23,161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 18; a = x + 8; k = j + 12; w = t + 17; j = 5; m = p + 12; v = k + 4; t = a + 17; y = b + 4; z = w + 19; x = n + 8; b = m + 13; p = v + 4. If j = 5, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 17 to z, which gives z = t + 36.\n2. Substitute t = a + 17 to z, which gives z = a + 53.\n3. Substitute a = x + 8 to z, which gives z = x + 61.\n4. Substitute x = n + 8 to z, which gives z = n + 69.\n5. Substitute n = j + 18 to z, which gives z = j + 87.\n6. Substitute j = 5 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 23161,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 18; a = x + 8; k = j + 12; w = t + 17; j = 5; m = p + 12; v = k + 4; t = a + 17; y = b + 4; z = w + 19; x = n + 8; b = m + 13; p = v + 4. If j = 5, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 4", "f": "t + 15", "c": "f + 2", "e": "c + 2", "h": "e + 16", "r": "h + 10", "p": "q + 10", "i": "p + 7", "g": "i + 12", "v": "g + 10", "x": "v + 16", "a": "x + 18", "q": 15}, "premises": {"q": 15}, "target": "r"}, "answer": {"steps": [["h", "e + 16", "e + 26"], ["e", "c + 2", "c + 28"], ["c", "f + 2", "f + 30"], ["f", "t + 15", "t + 45"], ["t", "q + 4", "q + 49"], ["q", 15, "64"]], "target_var_name": "r", "target_value": 64, "value_dict": {"q": 15}, "is_reverse": true}}
| 23,162
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 16; p = q + 10; t = q + 4; a = x + 18; g = i + 12; q = 15; c = f + 2; e = c + 2; v = g + 10; i = p + 7; h = e + 16; f = t + 15; r = h + 10. Given that q = 15, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 16 to r, which gives r = e + 26.\n2. Substitute e = c + 2 to r, which gives r = c + 28.\n3. Substitute c = f + 2 to r, which gives r = f + 30.\n4. Substitute f = t + 15 to r, which gives r = t + 45.\n5. Substitute t = q + 4 to r, which gives r = q + 49.\n6. Substitute q = 15 to r, which gives r = 64.\n\nThus, the final answer is r = \\boxed{64}.",
"index": 23162,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 16; p = q + 10; t = q + 4; a = x + 18; g = i + 12; q = 15; c = f + 2; e = c + 2; v = g + 10; i = p + 7; h = e + 16; f = t + 15; r = h + 10. Given that q = 15, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 19", "w": "g + 6", "u": "w + 12", "i": "u + 6", "k": "i + 15", "d": "k + 13", "f": "l + 1", "y": "f + 5", "q": "y + 3", "t": "q + 16", "s": "t + 10", "e": "s + 17", "l": 14}, "premises": {"l": 14}, "target": "d"}, "answer": {"steps": [["k", "i + 15", "i + 28"], ["i", "u + 6", "u + 34"], ["u", "w + 12", "w + 46"], ["w", "g + 6", "g + 52"], ["g", "l + 19", "l + 71"], ["l", 14, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"l": 14}, "is_reverse": true}}
| 23,163
| 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 = u + 6; d = k + 13; s = t + 10; k = i + 15; l = 14; e = s + 17; f = l + 1; w = g + 6; g = l + 19; t = q + 16; y = f + 5; u = w + 12; q = y + 3. If l = 14, 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 k = i + 15 to d, which gives d = i + 28.\n2. Substitute i = u + 6 to d, which gives d = u + 34.\n3. Substitute u = w + 12 to d, which gives d = w + 46.\n4. Substitute w = g + 6 to d, which gives d = g + 52.\n5. Substitute g = l + 19 to d, which gives d = l + 71.\n6. Substitute l = 14 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 23163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = u + 6; d = k + 13; s = t + 10; k = i + 15; l = 14; e = s + 17; f = l + 1; w = g + 6; g = l + 19; t = q + 16; y = f + 5; u = w + 12; q = y + 3. If l = 14, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 17", "f": "t + 12", "r": "f + 19", "g": "r + 17", "e": "g + 17", "b": "e + 14", "o": "s + 2", "c": "o + 11", "d": "c + 18", "j": "d + 14", "a": "j + 3", "m": "a + 16", "s": 15}, "premises": {"s": 15}, "target": "b"}, "answer": {"steps": [["e", "g + 17", "g + 31"], ["g", "r + 17", "r + 48"], ["r", "f + 19", "f + 67"], ["f", "t + 12", "t + 79"], ["t", "s + 17", "s + 96"], ["s", 15, "111"]], "target_var_name": "b", "target_value": 111, "value_dict": {"s": 15}, "is_reverse": true}}
| 23,164
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 3; r = f + 19; j = d + 14; o = s + 2; e = g + 17; f = t + 12; m = a + 16; g = r + 17; s = 15; d = c + 18; t = s + 17; c = o + 11; b = e + 14. If s = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 111,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 17 to b, which gives b = g + 31.\n2. Substitute g = r + 17 to b, which gives b = r + 48.\n3. Substitute r = f + 19 to b, which gives b = f + 67.\n4. Substitute f = t + 12 to b, which gives b = t + 79.\n5. Substitute t = s + 17 to b, which gives b = s + 96.\n6. Substitute s = 15 to b, which gives b = 111.\n\nThus, the final answer is b = \\boxed{111}.",
"index": 23164,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 3; r = f + 19; j = d + 14; o = s + 2; e = g + 17; f = t + 12; m = a + 16; g = r + 17; s = 15; d = c + 18; t = s + 17; c = o + 11; b = e + 14. If s = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 10", "n": "f + 7", "t": "n + 17", "o": "t + 5", "d": "o + 17", "g": "d + 18", "b": "x + 13", "e": "b + 20", "h": "e + 8", "a": "h + 4", "s": "a + 11", "i": "s + 8", "x": 17}, "premises": {"x": 17}, "target": "g"}, "answer": {"steps": [["d", "o + 17", "o + 35"], ["o", "t + 5", "t + 40"], ["t", "n + 17", "n + 57"], ["n", "f + 7", "f + 64"], ["f", "x + 10", "x + 74"], ["x", 17, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"x": 17}, "is_reverse": true}}
| 23,165
| 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 = e + 8; d = o + 17; e = b + 20; t = n + 17; s = a + 11; f = x + 10; a = h + 4; x = 17; b = x + 13; g = d + 18; n = f + 7; i = s + 8; o = t + 5. If x = 17, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 17 to g, which gives g = o + 35.\n2. Substitute o = t + 5 to g, which gives g = t + 40.\n3. Substitute t = n + 17 to g, which gives g = n + 57.\n4. Substitute n = f + 7 to g, which gives g = f + 64.\n5. Substitute f = x + 10 to g, which gives g = x + 74.\n6. Substitute x = 17 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 23165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = e + 8; d = o + 17; e = b + 20; t = n + 17; s = a + 11; f = x + 10; a = h + 4; x = 17; b = x + 13; g = d + 18; n = f + 7; i = s + 8; o = t + 5. If x = 17, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 4", "x": "o + 16", "z": "x + 19", "b": "z + 18", "s": "b + 2", "r": "s + 3", "j": "w + 4", "c": "j + 15", "q": "c + 17", "h": "q + 4", "l": "h + 16", "p": "l + 16", "w": 7}, "premises": {"w": 7}, "target": "r"}, "answer": {"steps": [["s", "b + 2", "b + 5"], ["b", "z + 18", "z + 23"], ["z", "x + 19", "x + 42"], ["x", "o + 16", "o + 58"], ["o", "w + 4", "w + 62"], ["w", 7, "69"]], "target_var_name": "r", "target_value": 69, "value_dict": {"w": 7}, "is_reverse": true}}
| 23,166
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = 7; l = h + 16; b = z + 18; p = l + 16; j = w + 4; z = x + 19; x = o + 16; c = j + 15; q = c + 17; s = b + 2; h = q + 4; o = w + 4; r = s + 3. Given that w = 7, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = b + 2 to r, which gives r = b + 5.\n2. Substitute b = z + 18 to r, which gives r = z + 23.\n3. Substitute z = x + 19 to r, which gives r = x + 42.\n4. Substitute x = o + 16 to r, which gives r = o + 58.\n5. Substitute o = w + 4 to r, which gives r = w + 62.\n6. Substitute w = 7 to r, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 23166,
"question": "Suppose a collection of variables is related by the following definitions: w = 7; l = h + 16; b = z + 18; p = l + 16; j = w + 4; z = x + 19; x = o + 16; c = j + 15; q = c + 17; s = b + 2; h = q + 4; o = w + 4; r = s + 3. Given that w = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 18", "e": "r + 8", "o": "e + 4", "p": "o + 3", "w": "p + 17", "z": "w + 19", "q": "s + 20", "n": "q + 4", "h": "n + 3", "b": "h + 14", "y": "b + 6", "a": "y + 10", "s": 16}, "premises": {"s": 16}, "target": "z"}, "answer": {"steps": [["w", "p + 17", "p + 36"], ["p", "o + 3", "o + 39"], ["o", "e + 4", "e + 43"], ["e", "r + 8", "r + 51"], ["r", "s + 18", "s + 69"], ["s", 16, "85"]], "target_var_name": "z", "target_value": 85, "value_dict": {"s": 16}, "is_reverse": true}}
| 23,167
| 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 = 16; z = w + 19; p = o + 3; r = s + 18; a = y + 10; h = n + 3; q = s + 20; e = r + 8; n = q + 4; o = e + 4; w = p + 17; b = h + 14; y = b + 6. If s = 16, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 17 to z, which gives z = p + 36.\n2. Substitute p = o + 3 to z, which gives z = o + 39.\n3. Substitute o = e + 4 to z, which gives z = e + 43.\n4. Substitute e = r + 8 to z, which gives z = r + 51.\n5. Substitute r = s + 18 to z, which gives z = s + 69.\n6. Substitute s = 16 to z, which gives z = 85.\n\nThus, the final answer is z = \\boxed{85}.",
"index": 23167,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 16; z = w + 19; p = o + 3; r = s + 18; a = y + 10; h = n + 3; q = s + 20; e = r + 8; n = q + 4; o = e + 4; w = p + 17; b = h + 14; y = b + 6. If s = 16, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 8", "b": "f + 19", "j": "b + 9", "t": "j + 1", "a": "t + 5", "g": "a + 3", "r": "q + 1", "o": "r + 14", "p": "o + 17", "k": "p + 20", "u": "k + 20", "x": "u + 9", "q": 1}, "premises": {"q": 1}, "target": "g"}, "answer": {"steps": [["a", "t + 5", "t + 8"], ["t", "j + 1", "j + 9"], ["j", "b + 9", "b + 18"], ["b", "f + 19", "f + 37"], ["f", "q + 8", "q + 45"], ["q", 1, "46"]], "target_var_name": "g", "target_value": 46, "value_dict": {"q": 1}, "is_reverse": true}}
| 23,168
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = j + 1; k = p + 20; x = u + 9; p = o + 17; j = b + 9; g = a + 3; f = q + 8; r = q + 1; o = r + 14; b = f + 19; a = t + 5; q = 1; u = k + 20. Given that q = 1, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 5 to g, which gives g = t + 8.\n2. Substitute t = j + 1 to g, which gives g = j + 9.\n3. Substitute j = b + 9 to g, which gives g = b + 18.\n4. Substitute b = f + 19 to g, which gives g = f + 37.\n5. Substitute f = q + 8 to g, which gives g = q + 45.\n6. Substitute q = 1 to g, which gives g = 46.\n\nThus, the final answer is g = \\boxed{46}.",
"index": 23168,
"question": "Suppose a collection of variables is related by the following definitions: t = j + 1; k = p + 20; x = u + 9; p = o + 17; j = b + 9; g = a + 3; f = q + 8; r = q + 1; o = r + 14; b = f + 19; a = t + 5; q = 1; u = k + 20. Given that q = 1, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 18", "p": "b + 10", "z": "p + 9", "m": "z + 9", "y": "m + 17", "c": "y + 1", "q": "i + 5", "o": "q + 2", "e": "o + 4", "n": "e + 2", "v": "n + 11", "w": "v + 17", "i": 5}, "premises": {"i": 5}, "target": "c"}, "answer": {"steps": [["y", "m + 17", "m + 18"], ["m", "z + 9", "z + 27"], ["z", "p + 9", "p + 36"], ["p", "b + 10", "b + 46"], ["b", "i + 18", "i + 64"], ["i", 5, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"i": 5}, "is_reverse": true}}
| 23,169
| 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 = 5; v = n + 11; w = v + 17; y = m + 17; p = b + 10; e = o + 4; o = q + 2; n = e + 2; z = p + 9; q = i + 5; m = z + 9; c = y + 1; b = i + 18. If i = 5, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 17 to c, which gives c = m + 18.\n2. Substitute m = z + 9 to c, which gives c = z + 27.\n3. Substitute z = p + 9 to c, which gives c = p + 36.\n4. Substitute p = b + 10 to c, which gives c = b + 46.\n5. Substitute b = i + 18 to c, which gives c = i + 64.\n6. Substitute i = 5 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 23169,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 5; v = n + 11; w = v + 17; y = m + 17; p = b + 10; e = o + 4; o = q + 2; n = e + 2; z = p + 9; q = i + 5; m = z + 9; c = y + 1; b = i + 18. If i = 5, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"i": "v + 5", "z": "i + 18", "t": "z + 3", "a": "t + 6", "d": "a + 19", "s": "d + 14", "g": "v + 7", "f": "g + 12", "u": "f + 14", "b": "u + 2", "c": "b + 9", "x": "c + 18", "v": 14}, "premises": {"v": 14}, "target": "s"}, "answer": {"steps": [["d", "a + 19", "a + 33"], ["a", "t + 6", "t + 39"], ["t", "z + 3", "z + 42"], ["z", "i + 18", "i + 60"], ["i", "v + 5", "v + 65"], ["v", 14, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"v": 14}, "is_reverse": true}}
| 23,170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 3; d = a + 19; c = b + 9; b = u + 2; s = d + 14; f = g + 12; g = v + 7; x = c + 18; u = f + 14; v = 14; i = v + 5; z = i + 18; a = t + 6. Given that v = 14, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 19 to s, which gives s = a + 33.\n2. Substitute a = t + 6 to s, which gives s = t + 39.\n3. Substitute t = z + 3 to s, which gives s = z + 42.\n4. Substitute z = i + 18 to s, which gives s = i + 60.\n5. Substitute i = v + 5 to s, which gives s = v + 65.\n6. Substitute v = 14 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 23170,
"question": "Suppose a collection of variables is related by the following definitions: t = z + 3; d = a + 19; c = b + 9; b = u + 2; s = d + 14; f = g + 12; g = v + 7; x = c + 18; u = f + 14; v = 14; i = v + 5; z = i + 18; a = t + 6. Given that v = 14, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "s + 6", "g": "m + 14", "l": "g + 5", "i": "l + 6", "o": "i + 5", "k": "o + 15", "e": "s + 19", "p": "e + 4", "w": "p + 18", "c": "w + 13", "u": "c + 4", "t": "u + 11", "s": 13}, "premises": {"s": 13}, "target": "k"}, "answer": {"steps": [["o", "i + 5", "i + 20"], ["i", "l + 6", "l + 26"], ["l", "g + 5", "g + 31"], ["g", "m + 14", "m + 45"], ["m", "s + 6", "s + 51"], ["s", 13, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"s": 13}, "is_reverse": true}}
| 23,171
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = c + 4; m = s + 6; k = o + 15; i = l + 6; l = g + 5; e = s + 19; p = e + 4; w = p + 18; o = i + 5; g = m + 14; t = u + 11; c = w + 13; s = 13. Given that s = 13, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 5 to k, which gives k = i + 20.\n2. Substitute i = l + 6 to k, which gives k = l + 26.\n3. Substitute l = g + 5 to k, which gives k = g + 31.\n4. Substitute g = m + 14 to k, which gives k = m + 45.\n5. Substitute m = s + 6 to k, which gives k = s + 51.\n6. Substitute s = 13 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 23171,
"question": "Suppose a collection of variables is related by the following definitions: u = c + 4; m = s + 6; k = o + 15; i = l + 6; l = g + 5; e = s + 19; p = e + 4; w = p + 18; o = i + 5; g = m + 14; t = u + 11; c = w + 13; s = 13. Given that s = 13, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 19", "e": "s + 4", "m": "e + 20", "u": "m + 12", "r": "u + 16", "w": "r + 11", "x": "t + 10", "o": "x + 12", "l": "o + 5", "b": "l + 8", "j": "b + 6", "h": "j + 2", "t": 8}, "premises": {"t": 8}, "target": "w"}, "answer": {"steps": [["r", "u + 16", "u + 27"], ["u", "m + 12", "m + 39"], ["m", "e + 20", "e + 59"], ["e", "s + 4", "s + 63"], ["s", "t + 19", "t + 82"], ["t", 8, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"t": 8}, "is_reverse": true}}
| 23,172
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = u + 16; w = r + 11; u = m + 12; b = l + 8; x = t + 10; h = j + 2; e = s + 4; o = x + 12; j = b + 6; m = e + 20; l = o + 5; t = 8; s = t + 19. If t = 8, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 16 to w, which gives w = u + 27.\n2. Substitute u = m + 12 to w, which gives w = m + 39.\n3. Substitute m = e + 20 to w, which gives w = e + 59.\n4. Substitute e = s + 4 to w, which gives w = s + 63.\n5. Substitute s = t + 19 to w, which gives w = t + 82.\n6. Substitute t = 8 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 23172,
"question": "Consider a system of variables where each variable is defined as follows: r = u + 16; w = r + 11; u = m + 12; b = l + 8; x = t + 10; h = j + 2; e = s + 4; o = x + 12; j = b + 6; m = e + 20; l = o + 5; t = 8; s = t + 19. If t = 8, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "b + 8", "o": "t + 3", "c": "o + 14", "h": "c + 6", "q": "h + 19", "f": "q + 3", "j": "b + 19", "u": "j + 12", "r": "u + 1", "v": "r + 1", "n": "v + 2", "e": "n + 15", "b": 15}, "premises": {"b": 15}, "target": "f"}, "answer": {"steps": [["q", "h + 19", "h + 22"], ["h", "c + 6", "c + 28"], ["c", "o + 14", "o + 42"], ["o", "t + 3", "t + 45"], ["t", "b + 8", "b + 53"], ["b", 15, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"b": 15}, "is_reverse": true}}
| 23,173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 12; e = n + 15; t = b + 8; b = 15; q = h + 19; r = u + 1; v = r + 1; j = b + 19; h = c + 6; f = q + 3; n = v + 2; o = t + 3; c = o + 14. If b = 15, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = h + 19 to f, which gives f = h + 22.\n2. Substitute h = c + 6 to f, which gives f = c + 28.\n3. Substitute c = o + 14 to f, which gives f = o + 42.\n4. Substitute o = t + 3 to f, which gives f = t + 45.\n5. Substitute t = b + 8 to f, which gives f = b + 53.\n6. Substitute b = 15 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 23173,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 12; e = n + 15; t = b + 8; b = 15; q = h + 19; r = u + 1; v = r + 1; j = b + 19; h = c + 6; f = q + 3; n = v + 2; o = t + 3; c = o + 14. If b = 15, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 8", "g": "q + 6", "t": "g + 13", "m": "t + 13", "p": "m + 19", "w": "p + 6", "j": "k + 2", "u": "j + 10", "c": "u + 3", "r": "c + 11", "l": "r + 15", "a": "l + 13", "k": 18}, "premises": {"k": 18}, "target": "w"}, "answer": {"steps": [["p", "m + 19", "m + 25"], ["m", "t + 13", "t + 38"], ["t", "g + 13", "g + 51"], ["g", "q + 6", "q + 57"], ["q", "k + 8", "k + 65"], ["k", 18, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"k": 18}, "is_reverse": true}}
| 23,174
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = c + 11; p = m + 19; w = p + 6; q = k + 8; u = j + 10; g = q + 6; k = 18; c = u + 3; m = t + 13; a = l + 13; l = r + 15; j = k + 2; t = g + 13. Given that k = 18, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 19 to w, which gives w = m + 25.\n2. Substitute m = t + 13 to w, which gives w = t + 38.\n3. Substitute t = g + 13 to w, which gives w = g + 51.\n4. Substitute g = q + 6 to w, which gives w = q + 57.\n5. Substitute q = k + 8 to w, which gives w = k + 65.\n6. Substitute k = 18 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 23174,
"question": "Suppose a collection of variables is related by the following definitions: r = c + 11; p = m + 19; w = p + 6; q = k + 8; u = j + 10; g = q + 6; k = 18; c = u + 3; m = t + 13; a = l + 13; l = r + 15; j = k + 2; t = g + 13. Given that k = 18, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 13", "o": "l + 19", "u": "o + 8", "m": "u + 5", "p": "m + 14", "c": "p + 5", "j": "g + 18", "a": "j + 20", "b": "a + 18", "e": "b + 10", "h": "e + 8", "y": "h + 11", "g": 1}, "premises": {"g": 1}, "target": "c"}, "answer": {"steps": [["p", "m + 14", "m + 19"], ["m", "u + 5", "u + 24"], ["u", "o + 8", "o + 32"], ["o", "l + 19", "l + 51"], ["l", "g + 13", "g + 64"], ["g", 1, "65"]], "target_var_name": "c", "target_value": 65, "value_dict": {"g": 1}, "is_reverse": true}}
| 23,175
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 11; l = g + 13; a = j + 20; j = g + 18; g = 1; b = a + 18; m = u + 5; p = m + 14; u = o + 8; h = e + 8; o = l + 19; e = b + 10; c = p + 5. If g = 1, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 14 to c, which gives c = m + 19.\n2. Substitute m = u + 5 to c, which gives c = u + 24.\n3. Substitute u = o + 8 to c, which gives c = o + 32.\n4. Substitute o = l + 19 to c, which gives c = l + 51.\n5. Substitute l = g + 13 to c, which gives c = g + 64.\n6. Substitute g = 1 to c, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 23175,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 11; l = g + 13; a = j + 20; j = g + 18; g = 1; b = a + 18; m = u + 5; p = m + 14; u = o + 8; h = e + 8; o = l + 19; e = b + 10; c = p + 5. If g = 1, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "b + 12", "x": "r + 18", "i": "x + 4", "a": "i + 1", "e": "a + 11", "d": "e + 19", "z": "b + 8", "j": "z + 8", "h": "j + 19", "n": "h + 12", "y": "n + 4", "w": "y + 15", "b": 15}, "premises": {"b": 15}, "target": "d"}, "answer": {"steps": [["e", "a + 11", "a + 30"], ["a", "i + 1", "i + 31"], ["i", "x + 4", "x + 35"], ["x", "r + 18", "r + 53"], ["r", "b + 12", "b + 65"], ["b", 15, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"b": 15}, "is_reverse": true}}
| 23,176
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 4; a = i + 1; y = n + 4; b = 15; w = y + 15; x = r + 18; d = e + 19; h = j + 19; z = b + 8; r = b + 12; e = a + 11; n = h + 12; j = z + 8. If b = 15, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 11 to d, which gives d = a + 30.\n2. Substitute a = i + 1 to d, which gives d = i + 31.\n3. Substitute i = x + 4 to d, which gives d = x + 35.\n4. Substitute x = r + 18 to d, which gives d = r + 53.\n5. Substitute r = b + 12 to d, which gives d = b + 65.\n6. Substitute b = 15 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 23176,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 4; a = i + 1; y = n + 4; b = 15; w = y + 15; x = r + 18; d = e + 19; h = j + 19; z = b + 8; r = b + 12; e = a + 11; n = h + 12; j = z + 8. If b = 15, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 19", "t": "e + 17", "q": "t + 1", "z": "q + 6", "m": "z + 14", "b": "m + 20", "w": "i + 2", "k": "w + 10", "y": "k + 19", "g": "y + 4", "h": "g + 10", "j": "h + 3", "i": 12}, "premises": {"i": 12}, "target": "b"}, "answer": {"steps": [["m", "z + 14", "z + 34"], ["z", "q + 6", "q + 40"], ["q", "t + 1", "t + 41"], ["t", "e + 17", "e + 58"], ["e", "i + 19", "i + 77"], ["i", 12, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"i": 12}, "is_reverse": true}}
| 23,177
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 1; g = y + 4; b = m + 20; h = g + 10; k = w + 10; t = e + 17; z = q + 6; y = k + 19; i = 12; j = h + 3; e = i + 19; w = i + 2; m = z + 14. If i = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 14 to b, which gives b = z + 34.\n2. Substitute z = q + 6 to b, which gives b = q + 40.\n3. Substitute q = t + 1 to b, which gives b = t + 41.\n4. Substitute t = e + 17 to b, which gives b = e + 58.\n5. Substitute e = i + 19 to b, which gives b = i + 77.\n6. Substitute i = 12 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 23177,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 1; g = y + 4; b = m + 20; h = g + 10; k = w + 10; t = e + 17; z = q + 6; y = k + 19; i = 12; j = h + 3; e = i + 19; w = i + 2; m = z + 14. If i = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 17", "c": "e + 2", "t": "c + 3", "w": "t + 14", "v": "w + 18", "o": "v + 19", "f": "d + 17", "s": "f + 7", "m": "s + 1", "b": "m + 8", "z": "b + 18", "l": "z + 12", "d": 3}, "premises": {"d": 3}, "target": "o"}, "answer": {"steps": [["v", "w + 18", "w + 37"], ["w", "t + 14", "t + 51"], ["t", "c + 3", "c + 54"], ["c", "e + 2", "e + 56"], ["e", "d + 17", "d + 73"], ["d", 3, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"d": 3}, "is_reverse": true}}
| 23,178
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = c + 3; o = v + 19; d = 3; c = e + 2; e = d + 17; v = w + 18; m = s + 1; b = m + 8; l = z + 12; f = d + 17; z = b + 18; w = t + 14; s = f + 7. Given that d = 3, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 18 to o, which gives o = w + 37.\n2. Substitute w = t + 14 to o, which gives o = t + 51.\n3. Substitute t = c + 3 to o, which gives o = c + 54.\n4. Substitute c = e + 2 to o, which gives o = e + 56.\n5. Substitute e = d + 17 to o, which gives o = d + 73.\n6. Substitute d = 3 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 23178,
"question": "Suppose a collection of variables is related by the following definitions: t = c + 3; o = v + 19; d = 3; c = e + 2; e = d + 17; v = w + 18; m = s + 1; b = m + 8; l = z + 12; f = d + 17; z = b + 18; w = t + 14; s = f + 7. Given that d = 3, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 7", "c": "l + 16", "i": "c + 9", "p": "i + 2", "f": "p + 5", "e": "f + 18", "h": "d + 7", "n": "h + 1", "w": "n + 17", "r": "w + 15", "q": "r + 1", "k": "q + 13", "d": 10}, "premises": {"d": 10}, "target": "e"}, "answer": {"steps": [["f", "p + 5", "p + 23"], ["p", "i + 2", "i + 25"], ["i", "c + 9", "c + 34"], ["c", "l + 16", "l + 50"], ["l", "d + 7", "d + 57"], ["d", 10, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"d": 10}, "is_reverse": true}}
| 23,179
| 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 = l + 16; d = 10; p = i + 2; q = r + 1; k = q + 13; i = c + 9; w = n + 17; r = w + 15; l = d + 7; f = p + 5; n = h + 1; h = d + 7; e = f + 18. If d = 10, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 5 to e, which gives e = p + 23.\n2. Substitute p = i + 2 to e, which gives e = i + 25.\n3. Substitute i = c + 9 to e, which gives e = c + 34.\n4. Substitute c = l + 16 to e, which gives e = l + 50.\n5. Substitute l = d + 7 to e, which gives e = d + 57.\n6. Substitute d = 10 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 23179,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 16; d = 10; p = i + 2; q = r + 1; k = q + 13; i = c + 9; w = n + 17; r = w + 15; l = d + 7; f = p + 5; n = h + 1; h = d + 7; e = f + 18. If d = 10, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"t": "d + 4", "u": "t + 17", "p": "u + 16", "q": "p + 11", "c": "q + 19", "z": "c + 3", "o": "d + 9", "m": "o + 2", "k": "m + 5", "v": "k + 15", "j": "v + 17", "w": "j + 12", "d": 18}, "premises": {"d": 18}, "target": "z"}, "answer": {"steps": [["c", "q + 19", "q + 22"], ["q", "p + 11", "p + 33"], ["p", "u + 16", "u + 49"], ["u", "t + 17", "t + 66"], ["t", "d + 4", "d + 70"], ["d", 18, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"d": 18}, "is_reverse": true}}
| 23,180
| 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 = 18; w = j + 12; v = k + 15; c = q + 19; o = d + 9; m = o + 2; q = p + 11; p = u + 16; z = c + 3; u = t + 17; t = d + 4; k = m + 5; j = v + 17. If d = 18, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 19 to z, which gives z = q + 22.\n2. Substitute q = p + 11 to z, which gives z = p + 33.\n3. Substitute p = u + 16 to z, which gives z = u + 49.\n4. Substitute u = t + 17 to z, which gives z = t + 66.\n5. Substitute t = d + 4 to z, which gives z = d + 70.\n6. Substitute d = 18 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 23180,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 18; w = j + 12; v = k + 15; c = q + 19; o = d + 9; m = o + 2; q = p + 11; p = u + 16; z = c + 3; u = t + 17; t = d + 4; k = m + 5; j = v + 17. If d = 18, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 6", "z": "o + 7", "y": "z + 16", "c": "y + 6", "b": "c + 5", "e": "b + 9", "s": "k + 3", "x": "s + 12", "h": "x + 14", "p": "h + 17", "n": "p + 20", "d": "n + 10", "k": 20}, "premises": {"k": 20}, "target": "e"}, "answer": {"steps": [["b", "c + 5", "c + 14"], ["c", "y + 6", "y + 20"], ["y", "z + 16", "z + 36"], ["z", "o + 7", "o + 43"], ["o", "k + 6", "k + 49"], ["k", 20, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"k": 20}, "is_reverse": true}}
| 23,181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = k + 6; d = n + 10; c = y + 6; h = x + 14; p = h + 17; k = 20; e = b + 9; x = s + 12; b = c + 5; y = z + 16; z = o + 7; n = p + 20; s = k + 3. If k = 20, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 5 to e, which gives e = c + 14.\n2. Substitute c = y + 6 to e, which gives e = y + 20.\n3. Substitute y = z + 16 to e, which gives e = z + 36.\n4. Substitute z = o + 7 to e, which gives e = o + 43.\n5. Substitute o = k + 6 to e, which gives e = k + 49.\n6. Substitute k = 20 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 23181,
"question": "Consider a system of variables where each variable is defined as follows: o = k + 6; d = n + 10; c = y + 6; h = x + 14; p = h + 17; k = 20; e = b + 9; x = s + 12; b = c + 5; y = z + 16; z = o + 7; n = p + 20; s = k + 3. If k = 20, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 3", "s": "m + 8", "t": "s + 11", "g": "t + 15", "v": "g + 6", "b": "v + 2", "r": "e + 17", "u": "r + 20", "c": "u + 2", "y": "c + 13", "j": "y + 13", "n": "j + 11", "e": 19}, "premises": {"e": 19}, "target": "b"}, "answer": {"steps": [["v", "g + 6", "g + 8"], ["g", "t + 15", "t + 23"], ["t", "s + 11", "s + 34"], ["s", "m + 8", "m + 42"], ["m", "e + 3", "e + 45"], ["e", 19, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"e": 19}, "is_reverse": true}}
| 23,182
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 15; t = s + 11; s = m + 8; b = v + 2; e = 19; j = y + 13; n = j + 11; r = e + 17; u = r + 20; c = u + 2; m = e + 3; y = c + 13; v = g + 6. If e = 19, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 6 to b, which gives b = g + 8.\n2. Substitute g = t + 15 to b, which gives b = t + 23.\n3. Substitute t = s + 11 to b, which gives b = s + 34.\n4. Substitute s = m + 8 to b, which gives b = m + 42.\n5. Substitute m = e + 3 to b, which gives b = e + 45.\n6. Substitute e = 19 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 23182,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 15; t = s + 11; s = m + 8; b = v + 2; e = 19; j = y + 13; n = j + 11; r = e + 17; u = r + 20; c = u + 2; m = e + 3; y = c + 13; v = g + 6. If e = 19, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 1", "o": "h + 4", "g": "o + 4", "d": "g + 7", "m": "d + 16", "k": "m + 6", "a": "c + 10", "y": "a + 5", "p": "y + 4", "l": "p + 4", "f": "l + 8", "z": "f + 9", "c": 12}, "premises": {"c": 12}, "target": "k"}, "answer": {"steps": [["m", "d + 16", "d + 22"], ["d", "g + 7", "g + 29"], ["g", "o + 4", "o + 33"], ["o", "h + 4", "h + 37"], ["h", "c + 1", "c + 38"], ["c", 12, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"c": 12}, "is_reverse": true}}
| 23,183
| 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 + 1; l = p + 4; c = 12; k = m + 6; m = d + 16; a = c + 10; f = l + 8; p = y + 4; g = o + 4; z = f + 9; o = h + 4; d = g + 7; y = a + 5. If c = 12, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 16 to k, which gives k = d + 22.\n2. Substitute d = g + 7 to k, which gives k = g + 29.\n3. Substitute g = o + 4 to k, which gives k = o + 33.\n4. Substitute o = h + 4 to k, which gives k = h + 37.\n5. Substitute h = c + 1 to k, which gives k = c + 38.\n6. Substitute c = 12 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 23183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 1; l = p + 4; c = 12; k = m + 6; m = d + 16; a = c + 10; f = l + 8; p = y + 4; g = o + 4; z = f + 9; o = h + 4; d = g + 7; y = a + 5. If c = 12, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 10", "s": "r + 7", "k": "s + 12", "z": "k + 8", "u": "z + 1", "h": "u + 6", "t": "l + 11", "w": "t + 11", "p": "w + 3", "x": "p + 17", "e": "x + 11", "o": "e + 12", "l": 3}, "premises": {"l": 3}, "target": "h"}, "answer": {"steps": [["u", "z + 1", "z + 7"], ["z", "k + 8", "k + 15"], ["k", "s + 12", "s + 27"], ["s", "r + 7", "r + 34"], ["r", "l + 10", "l + 44"], ["l", 3, "47"]], "target_var_name": "h", "target_value": 47, "value_dict": {"l": 3}, "is_reverse": true}}
| 23,184
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 11; s = r + 7; r = l + 10; p = w + 3; e = x + 11; l = 3; x = p + 17; t = l + 11; h = u + 6; z = k + 8; u = z + 1; o = e + 12; k = s + 12. If l = 3, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 1 to h, which gives h = z + 7.\n2. Substitute z = k + 8 to h, which gives h = k + 15.\n3. Substitute k = s + 12 to h, which gives h = s + 27.\n4. Substitute s = r + 7 to h, which gives h = r + 34.\n5. Substitute r = l + 10 to h, which gives h = l + 44.\n6. Substitute l = 3 to h, which gives h = 47.\n\nThus, the final answer is h = \\boxed{47}.",
"index": 23184,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = t + 11; s = r + 7; r = l + 10; p = w + 3; e = x + 11; l = 3; x = p + 17; t = l + 11; h = u + 6; z = k + 8; u = z + 1; o = e + 12; k = s + 12. If l = 3, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 14", "h": "n + 6", "z": "h + 14", "c": "z + 14", "o": "c + 16", "w": "o + 15", "r": "d + 15", "q": "r + 5", "f": "q + 12", "l": "f + 11", "a": "l + 20", "i": "a + 9", "d": 11}, "premises": {"d": 11}, "target": "w"}, "answer": {"steps": [["o", "c + 16", "c + 31"], ["c", "z + 14", "z + 45"], ["z", "h + 14", "h + 59"], ["h", "n + 6", "n + 65"], ["n", "d + 14", "d + 79"], ["d", 11, "90"]], "target_var_name": "w", "target_value": 90, "value_dict": {"d": 11}, "is_reverse": true}}
| 23,185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = z + 14; a = l + 20; n = d + 14; w = o + 15; i = a + 9; l = f + 11; r = d + 15; d = 11; z = h + 14; h = n + 6; f = q + 12; o = c + 16; q = r + 5. If d = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 16 to w, which gives w = c + 31.\n2. Substitute c = z + 14 to w, which gives w = z + 45.\n3. Substitute z = h + 14 to w, which gives w = h + 59.\n4. Substitute h = n + 6 to w, which gives w = n + 65.\n5. Substitute n = d + 14 to w, which gives w = d + 79.\n6. Substitute d = 11 to w, which gives w = 90.\n\nThus, the final answer is w = \\boxed{90}.",
"index": 23185,
"question": "Consider a system of variables where each variable is defined as follows: c = z + 14; a = l + 20; n = d + 14; w = o + 15; i = a + 9; l = f + 11; r = d + 15; d = 11; z = h + 14; h = n + 6; f = q + 12; o = c + 16; q = r + 5. If d = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 11", "j": "b + 8", "x": "j + 5", "e": "x + 18", "y": "e + 16", "u": "y + 15", "k": "s + 9", "f": "k + 4", "v": "f + 20", "h": "v + 1", "p": "h + 16", "z": "p + 11", "s": 14}, "premises": {"s": 14}, "target": "u"}, "answer": {"steps": [["y", "e + 16", "e + 31"], ["e", "x + 18", "x + 49"], ["x", "j + 5", "j + 54"], ["j", "b + 8", "b + 62"], ["b", "s + 11", "s + 73"], ["s", 14, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"s": 14}, "is_reverse": true}}
| 23,186
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = x + 18; h = v + 1; v = f + 20; u = y + 15; s = 14; y = e + 16; k = s + 9; x = j + 5; p = h + 16; j = b + 8; f = k + 4; z = p + 11; b = s + 11. Given that s = 14, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 16 to u, which gives u = e + 31.\n2. Substitute e = x + 18 to u, which gives u = x + 49.\n3. Substitute x = j + 5 to u, which gives u = j + 54.\n4. Substitute j = b + 8 to u, which gives u = b + 62.\n5. Substitute b = s + 11 to u, which gives u = s + 73.\n6. Substitute s = 14 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 23186,
"question": "Suppose a collection of variables is related by the following definitions: e = x + 18; h = v + 1; v = f + 20; u = y + 15; s = 14; y = e + 16; k = s + 9; x = j + 5; p = h + 16; j = b + 8; f = k + 4; z = p + 11; b = s + 11. Given that s = 14, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "z + 8", "n": "p + 7", "w": "n + 17", "e": "w + 9", "r": "e + 4", "f": "r + 11", "j": "z + 8", "a": "j + 9", "v": "a + 19", "t": "v + 12", "i": "t + 20", "c": "i + 15", "z": 20}, "premises": {"z": 20}, "target": "f"}, "answer": {"steps": [["r", "e + 4", "e + 15"], ["e", "w + 9", "w + 24"], ["w", "n + 17", "n + 41"], ["n", "p + 7", "p + 48"], ["p", "z + 8", "z + 56"], ["z", 20, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"z": 20}, "is_reverse": true}}
| 23,187
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = v + 12; f = r + 11; j = z + 8; r = e + 4; i = t + 20; w = n + 17; a = j + 9; p = z + 8; c = i + 15; v = a + 19; n = p + 7; e = w + 9; z = 20. If z = 20, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 4 to f, which gives f = e + 15.\n2. Substitute e = w + 9 to f, which gives f = w + 24.\n3. Substitute w = n + 17 to f, which gives f = n + 41.\n4. Substitute n = p + 7 to f, which gives f = p + 48.\n5. Substitute p = z + 8 to f, which gives f = z + 56.\n6. Substitute z = 20 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 23187,
"question": "Consider a system of variables where each variable is defined as follows: t = v + 12; f = r + 11; j = z + 8; r = e + 4; i = t + 20; w = n + 17; a = j + 9; p = z + 8; c = i + 15; v = a + 19; n = p + 7; e = w + 9; z = 20. If z = 20, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 1", "g": "v + 11", "d": "g + 3", "c": "d + 19", "p": "c + 6", "r": "p + 11", "x": "e + 19", "u": "x + 18", "m": "u + 4", "j": "m + 5", "h": "j + 19", "b": "h + 1", "e": 6}, "premises": {"e": 6}, "target": "r"}, "answer": {"steps": [["p", "c + 6", "c + 17"], ["c", "d + 19", "d + 36"], ["d", "g + 3", "g + 39"], ["g", "v + 11", "v + 50"], ["v", "e + 1", "e + 51"], ["e", 6, "57"]], "target_var_name": "r", "target_value": 57, "value_dict": {"e": 6}, "is_reverse": true}}
| 23,188
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = h + 1; c = d + 19; h = j + 19; g = v + 11; e = 6; u = x + 18; v = e + 1; r = p + 11; j = m + 5; p = c + 6; d = g + 3; m = u + 4; x = e + 19. If e = 6, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 6 to r, which gives r = c + 17.\n2. Substitute c = d + 19 to r, which gives r = d + 36.\n3. Substitute d = g + 3 to r, which gives r = g + 39.\n4. Substitute g = v + 11 to r, which gives r = v + 50.\n5. Substitute v = e + 1 to r, which gives r = e + 51.\n6. Substitute e = 6 to r, which gives r = 57.\n\nThus, the final answer is r = \\boxed{57}.",
"index": 23188,
"question": "Consider a system of variables where each variable is defined as follows: b = h + 1; c = d + 19; h = j + 19; g = v + 11; e = 6; u = x + 18; v = e + 1; r = p + 11; j = m + 5; p = c + 6; d = g + 3; m = u + 4; x = e + 19. If e = 6, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 18", "d": "i + 3", "k": "d + 18", "h": "k + 1", "b": "h + 4", "c": "b + 5", "z": "e + 13", "g": "z + 11", "p": "g + 14", "t": "p + 12", "y": "t + 7", "o": "y + 12", "e": 14}, "premises": {"e": 14}, "target": "c"}, "answer": {"steps": [["b", "h + 4", "h + 9"], ["h", "k + 1", "k + 10"], ["k", "d + 18", "d + 28"], ["d", "i + 3", "i + 31"], ["i", "e + 18", "e + 49"], ["e", 14, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"e": 14}, "is_reverse": true}}
| 23,189
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = p + 12; b = h + 4; z = e + 13; h = k + 1; i = e + 18; y = t + 7; g = z + 11; c = b + 5; d = i + 3; o = y + 12; e = 14; p = g + 14; k = d + 18. If e = 14, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 4 to c, which gives c = h + 9.\n2. Substitute h = k + 1 to c, which gives c = k + 10.\n3. Substitute k = d + 18 to c, which gives c = d + 28.\n4. Substitute d = i + 3 to c, which gives c = i + 31.\n5. Substitute i = e + 18 to c, which gives c = e + 49.\n6. Substitute e = 14 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 23189,
"question": "Consider a system of variables where each variable is defined as follows: t = p + 12; b = h + 4; z = e + 13; h = k + 1; i = e + 18; y = t + 7; g = z + 11; c = b + 5; d = i + 3; o = y + 12; e = 14; p = g + 14; k = d + 18. If e = 14, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 10", "h": "c + 9", "l": "h + 16", "k": "l + 11", "e": "k + 16", "r": "e + 19", "b": "a + 7", "f": "b + 10", "n": "f + 11", "y": "n + 8", "x": "y + 18", "d": "x + 13", "a": 1}, "premises": {"a": 1}, "target": "r"}, "answer": {"steps": [["e", "k + 16", "k + 35"], ["k", "l + 11", "l + 46"], ["l", "h + 16", "h + 62"], ["h", "c + 9", "c + 71"], ["c", "a + 10", "a + 81"], ["a", 1, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"a": 1}, "is_reverse": true}}
| 23,190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 9; f = b + 10; r = e + 19; y = n + 8; b = a + 7; e = k + 16; x = y + 18; a = 1; l = h + 16; d = x + 13; n = f + 11; c = a + 10; k = l + 11. If a = 1, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 16 to r, which gives r = k + 35.\n2. Substitute k = l + 11 to r, which gives r = l + 46.\n3. Substitute l = h + 16 to r, which gives r = h + 62.\n4. Substitute h = c + 9 to r, which gives r = c + 71.\n5. Substitute c = a + 10 to r, which gives r = a + 81.\n6. Substitute a = 1 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 23190,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 9; f = b + 10; r = e + 19; y = n + 8; b = a + 7; e = k + 16; x = y + 18; a = 1; l = h + 16; d = x + 13; n = f + 11; c = a + 10; k = l + 11. If a = 1, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 11", "w": "b + 17", "y": "w + 5", "z": "y + 7", "f": "z + 5", "u": "f + 2", "e": "t + 13", "v": "e + 18", "p": "v + 4", "i": "p + 1", "c": "i + 7", "h": "c + 10", "t": 12}, "premises": {"t": 12}, "target": "u"}, "answer": {"steps": [["f", "z + 5", "z + 7"], ["z", "y + 7", "y + 14"], ["y", "w + 5", "w + 19"], ["w", "b + 17", "b + 36"], ["b", "t + 11", "t + 47"], ["t", 12, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"t": 12}, "is_reverse": true}}
| 23,191
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 10; b = t + 11; y = w + 5; z = y + 7; v = e + 18; w = b + 17; i = p + 1; p = v + 4; t = 12; e = t + 13; f = z + 5; u = f + 2; c = i + 7. If t = 12, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 5 to u, which gives u = z + 7.\n2. Substitute z = y + 7 to u, which gives u = y + 14.\n3. Substitute y = w + 5 to u, which gives u = w + 19.\n4. Substitute w = b + 17 to u, which gives u = b + 36.\n5. Substitute b = t + 11 to u, which gives u = t + 47.\n6. Substitute t = 12 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 23191,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 10; b = t + 11; y = w + 5; z = y + 7; v = e + 18; w = b + 17; i = p + 1; p = v + 4; t = 12; e = t + 13; f = z + 5; u = f + 2; c = i + 7. If t = 12, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 12", "o": "l + 12", "y": "o + 9", "e": "y + 19", "a": "e + 3", "x": "a + 4", "z": "f + 16", "j": "z + 18", "d": "j + 5", "i": "d + 15", "k": "i + 14", "m": "k + 5", "f": 10}, "premises": {"f": 10}, "target": "x"}, "answer": {"steps": [["a", "e + 3", "e + 7"], ["e", "y + 19", "y + 26"], ["y", "o + 9", "o + 35"], ["o", "l + 12", "l + 47"], ["l", "f + 12", "f + 59"], ["f", 10, "69"]], "target_var_name": "x", "target_value": 69, "value_dict": {"f": 10}, "is_reverse": true}}
| 23,192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = d + 15; z = f + 16; x = a + 4; d = j + 5; f = 10; j = z + 18; e = y + 19; o = l + 12; y = o + 9; l = f + 12; a = e + 3; m = k + 5; k = i + 14. Given that f = 10, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 3 to x, which gives x = e + 7.\n2. Substitute e = y + 19 to x, which gives x = y + 26.\n3. Substitute y = o + 9 to x, which gives x = o + 35.\n4. Substitute o = l + 12 to x, which gives x = l + 47.\n5. Substitute l = f + 12 to x, which gives x = f + 59.\n6. Substitute f = 10 to x, which gives x = 69.\n\nThus, the final answer is x = \\boxed{69}.",
"index": 23192,
"question": "Suppose a collection of variables is related by the following definitions: i = d + 15; z = f + 16; x = a + 4; d = j + 5; f = 10; j = z + 18; e = y + 19; o = l + 12; y = o + 9; l = f + 12; a = e + 3; m = k + 5; k = i + 14. Given that f = 10, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 15", "h": "s + 4", "q": "h + 18", "n": "q + 18", "k": "n + 1", "y": "k + 20", "i": "b + 12", "t": "i + 13", "c": "t + 18", "o": "c + 10", "r": "o + 8", "g": "r + 19", "b": 15}, "premises": {"b": 15}, "target": "y"}, "answer": {"steps": [["k", "n + 1", "n + 21"], ["n", "q + 18", "q + 39"], ["q", "h + 18", "h + 57"], ["h", "s + 4", "s + 61"], ["s", "b + 15", "b + 76"], ["b", 15, "91"]], "target_var_name": "y", "target_value": 91, "value_dict": {"b": 15}, "is_reverse": true}}
| 23,193
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 18; r = o + 8; b = 15; t = i + 13; g = r + 19; q = h + 18; o = c + 10; y = k + 20; k = n + 1; i = b + 12; c = t + 18; h = s + 4; s = b + 15. Given that b = 15, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = n + 1 to y, which gives y = n + 21.\n2. Substitute n = q + 18 to y, which gives y = q + 39.\n3. Substitute q = h + 18 to y, which gives y = h + 57.\n4. Substitute h = s + 4 to y, which gives y = s + 61.\n5. Substitute s = b + 15 to y, which gives y = b + 76.\n6. Substitute b = 15 to y, which gives y = 91.\n\nThus, the final answer is y = \\boxed{91}.",
"index": 23193,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 18; r = o + 8; b = 15; t = i + 13; g = r + 19; q = h + 18; o = c + 10; y = k + 20; k = n + 1; i = b + 12; c = t + 18; h = s + 4; s = b + 15. Given that b = 15, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "t + 1", "j": "l + 2", "o": "j + 5", "m": "o + 7", "u": "m + 20", "b": "u + 20", "f": "t + 5", "c": "f + 3", "w": "c + 20", "h": "w + 12", "q": "h + 10", "g": "q + 1", "t": 13}, "premises": {"t": 13}, "target": "b"}, "answer": {"steps": [["u", "m + 20", "m + 40"], ["m", "o + 7", "o + 47"], ["o", "j + 5", "j + 52"], ["j", "l + 2", "l + 54"], ["l", "t + 1", "t + 55"], ["t", 13, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"t": 13}, "is_reverse": true}}
| 23,194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 20; q = h + 10; o = j + 5; l = t + 1; g = q + 1; w = c + 20; f = t + 5; c = f + 3; j = l + 2; m = o + 7; b = u + 20; t = 13; h = w + 12. Given that t = 13, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 20 to b, which gives b = m + 40.\n2. Substitute m = o + 7 to b, which gives b = o + 47.\n3. Substitute o = j + 5 to b, which gives b = j + 52.\n4. Substitute j = l + 2 to b, which gives b = l + 54.\n5. Substitute l = t + 1 to b, which gives b = t + 55.\n6. Substitute t = 13 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 23194,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 20; q = h + 10; o = j + 5; l = t + 1; g = q + 1; w = c + 20; f = t + 5; c = f + 3; j = l + 2; m = o + 7; b = u + 20; t = 13; h = w + 12. Given that t = 13, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 11", "f": "b + 9", "a": "f + 13", "k": "a + 12", "e": "k + 4", "u": "e + 5", "q": "n + 6", "r": "q + 9", "h": "r + 7", "w": "h + 5", "o": "w + 12", "c": "o + 3", "n": 17}, "premises": {"n": 17}, "target": "u"}, "answer": {"steps": [["e", "k + 4", "k + 9"], ["k", "a + 12", "a + 21"], ["a", "f + 13", "f + 34"], ["f", "b + 9", "b + 43"], ["b", "n + 11", "n + 54"], ["n", 17, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"n": 17}, "is_reverse": true}}
| 23,195
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 5; n = 17; o = w + 12; k = a + 12; r = q + 9; h = r + 7; a = f + 13; e = k + 4; c = o + 3; w = h + 5; q = n + 6; f = b + 9; b = n + 11. If n = 17, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 4 to u, which gives u = k + 9.\n2. Substitute k = a + 12 to u, which gives u = a + 21.\n3. Substitute a = f + 13 to u, which gives u = f + 34.\n4. Substitute f = b + 9 to u, which gives u = b + 43.\n5. Substitute b = n + 11 to u, which gives u = n + 54.\n6. Substitute n = 17 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 23195,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 5; n = 17; o = w + 12; k = a + 12; r = q + 9; h = r + 7; a = f + 13; e = k + 4; c = o + 3; w = h + 5; q = n + 6; f = b + 9; b = n + 11. If n = 17, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 14", "b": "v + 9", "g": "b + 13", "t": "g + 4", "w": "t + 12", "i": "w + 2", "d": "m + 14", "z": "d + 10", "l": "z + 1", "a": "l + 10", "u": "a + 19", "c": "u + 13", "m": 11}, "premises": {"m": 11}, "target": "i"}, "answer": {"steps": [["w", "t + 12", "t + 14"], ["t", "g + 4", "g + 18"], ["g", "b + 13", "b + 31"], ["b", "v + 9", "v + 40"], ["v", "m + 14", "m + 54"], ["m", 11, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"m": 11}, "is_reverse": true}}
| 23,196
| 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 + 13; l = z + 1; a = l + 10; t = g + 4; m = 11; b = v + 9; g = b + 13; u = a + 19; i = w + 2; w = t + 12; d = m + 14; z = d + 10; v = m + 14. If m = 11, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 12 to i, which gives i = t + 14.\n2. Substitute t = g + 4 to i, which gives i = g + 18.\n3. Substitute g = b + 13 to i, which gives i = b + 31.\n4. Substitute b = v + 9 to i, which gives i = v + 40.\n5. Substitute v = m + 14 to i, which gives i = m + 54.\n6. Substitute m = 11 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 23196,
"question": "Consider a system of variables where each variable is defined as follows: c = u + 13; l = z + 1; a = l + 10; t = g + 4; m = 11; b = v + 9; g = b + 13; u = a + 19; i = w + 2; w = t + 12; d = m + 14; z = d + 10; v = m + 14. If m = 11, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 4", "q": "x + 14", "b": "q + 12", "n": "b + 14", "l": "n + 4", "p": "l + 15", "e": "k + 5", "a": "e + 1", "o": "a + 2", "z": "o + 11", "w": "z + 7", "h": "w + 6", "k": 12}, "premises": {"k": 12}, "target": "p"}, "answer": {"steps": [["l", "n + 4", "n + 19"], ["n", "b + 14", "b + 33"], ["b", "q + 12", "q + 45"], ["q", "x + 14", "x + 59"], ["x", "k + 4", "k + 63"], ["k", 12, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"k": 12}, "is_reverse": true}}
| 23,197
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = o + 11; b = q + 12; k = 12; h = w + 6; a = e + 1; n = b + 14; q = x + 14; o = a + 2; x = k + 4; e = k + 5; p = l + 15; w = z + 7; l = n + 4. If k = 12, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 4 to p, which gives p = n + 19.\n2. Substitute n = b + 14 to p, which gives p = b + 33.\n3. Substitute b = q + 12 to p, which gives p = q + 45.\n4. Substitute q = x + 14 to p, which gives p = x + 59.\n5. Substitute x = k + 4 to p, which gives p = k + 63.\n6. Substitute k = 12 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 23197,
"question": "Consider a system of variables where each variable is defined as follows: z = o + 11; b = q + 12; k = 12; h = w + 6; a = e + 1; n = b + 14; q = x + 14; o = a + 2; x = k + 4; e = k + 5; p = l + 15; w = z + 7; l = n + 4. If k = 12, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 18", "n": "y + 14", "h": "n + 11", "c": "h + 14", "b": "c + 15", "d": "b + 10", "l": "o + 13", "p": "l + 2", "r": "p + 2", "a": "r + 9", "j": "a + 4", "t": "j + 1", "o": 3}, "premises": {"o": 3}, "target": "d"}, "answer": {"steps": [["b", "c + 15", "c + 25"], ["c", "h + 14", "h + 39"], ["h", "n + 11", "n + 50"], ["n", "y + 14", "y + 64"], ["y", "o + 18", "o + 82"], ["o", 3, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"o": 3}, "is_reverse": true}}
| 23,198
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 13; b = c + 15; y = o + 18; a = r + 9; n = y + 14; j = a + 4; c = h + 14; d = b + 10; t = j + 1; p = l + 2; o = 3; h = n + 11; r = p + 2. If o = 3, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 15 to d, which gives d = c + 25.\n2. Substitute c = h + 14 to d, which gives d = h + 39.\n3. Substitute h = n + 11 to d, which gives d = n + 50.\n4. Substitute n = y + 14 to d, which gives d = y + 64.\n5. Substitute y = o + 18 to d, which gives d = o + 82.\n6. Substitute o = 3 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 23198,
"question": "Consider a system of variables where each variable is defined as follows: l = o + 13; b = c + 15; y = o + 18; a = r + 9; n = y + 14; j = a + 4; c = h + 14; d = b + 10; t = j + 1; p = l + 2; o = 3; h = n + 11; r = p + 2. If o = 3, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 1", "u": "x + 8", "y": "u + 17", "b": "y + 20", "j": "b + 12", "g": "j + 15", "w": "k + 12", "v": "w + 6", "l": "v + 6", "n": "l + 11", "f": "n + 15", "s": "f + 20", "k": 12}, "premises": {"k": 12}, "target": "g"}, "answer": {"steps": [["j", "b + 12", "b + 27"], ["b", "y + 20", "y + 47"], ["y", "u + 17", "u + 64"], ["u", "x + 8", "x + 72"], ["x", "k + 1", "k + 73"], ["k", 12, "85"]], "target_var_name": "g", "target_value": 85, "value_dict": {"k": 12}, "is_reverse": true}}
| 23,199
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 20; v = w + 6; x = k + 1; b = y + 20; k = 12; j = b + 12; n = l + 11; l = v + 6; w = k + 12; y = u + 17; g = j + 15; u = x + 8; f = n + 15. Given that k = 12, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 12 to g, which gives g = b + 27.\n2. Substitute b = y + 20 to g, which gives g = y + 47.\n3. Substitute y = u + 17 to g, which gives g = u + 64.\n4. Substitute u = x + 8 to g, which gives g = x + 72.\n5. Substitute x = k + 1 to g, which gives g = k + 73.\n6. Substitute k = 12 to g, which gives g = 85.\n\nThus, the final answer is g = \\boxed{85}.",
"index": 23199,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 20; v = w + 6; x = k + 1; b = y + 20; k = 12; j = b + 12; n = l + 11; l = v + 6; w = k + 12; y = u + 17; g = j + 15; u = x + 8; f = n + 15. Given that k = 12, find the value of g.",
"split": "train"
}
|
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