meta
stringlengths 493
517
| id
int64 0
25.6k
| problem_solution_idx
int64 0
0
| world_id
stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"l": "e + 18", "n": "l + 2", "k": "n + 2", "f": "k + 2", "z": "f + 14", "a": "z + 4", "p": "e + 10", "j": "p + 18", "m": "j + 20", "i": "m + 20", "x": "i + 9", "y": "x + 12", "e": 12}, "premises": {"e": 12}, "target": "a"}, "answer": {"steps": [["z", "f + 14", "f + 18"], ["f", "k + 2", "k + 20"], ["k", "n + 2", "n + 22"], ["n", "l + 2", "l + 24"], ["l", "e + 18", "e + 42"], ["e", 12, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"e": 12}, "is_reverse": true}}
| 3,400
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = f + 14; k = n + 2; a = z + 4; p = e + 10; m = j + 20; e = 12; l = e + 18; n = l + 2; i = m + 20; j = p + 18; x = i + 9; f = k + 2; y = x + 12. Given that e = 12, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 14 to a, which gives a = f + 18.\n2. Substitute f = k + 2 to a, which gives a = k + 20.\n3. Substitute k = n + 2 to a, which gives a = n + 22.\n4. Substitute n = l + 2 to a, which gives a = l + 24.\n5. Substitute l = e + 18 to a, which gives a = e + 42.\n6. Substitute e = 12 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 3400,
"question": "Suppose a collection of variables is related by the following definitions: z = f + 14; k = n + 2; a = z + 4; p = e + 10; m = j + 20; e = 12; l = e + 18; n = l + 2; i = m + 20; j = p + 18; x = i + 9; f = k + 2; y = x + 12. Given that e = 12, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 15", "m": "y + 17", "j": "m + 3", "g": "j + 1", "c": "g + 14", "i": "c + 11", "s": "z + 10", "l": "s + 3", "q": "l + 13", "n": "q + 7", "w": "n + 1", "d": "w + 6", "z": 16}, "premises": {"z": 16}, "target": "i"}, "answer": {"steps": [["c", "g + 14", "g + 25"], ["g", "j + 1", "j + 26"], ["j", "m + 3", "m + 29"], ["m", "y + 17", "y + 46"], ["y", "z + 15", "z + 61"], ["z", 16, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"z": 16}, "is_reverse": true}}
| 3,401
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = s + 3; s = z + 10; w = n + 1; q = l + 13; c = g + 14; j = m + 3; g = j + 1; i = c + 11; y = z + 15; d = w + 6; m = y + 17; z = 16; n = q + 7. If z = 16, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 14 to i, which gives i = g + 25.\n2. Substitute g = j + 1 to i, which gives i = j + 26.\n3. Substitute j = m + 3 to i, which gives i = m + 29.\n4. Substitute m = y + 17 to i, which gives i = y + 46.\n5. Substitute y = z + 15 to i, which gives i = z + 61.\n6. Substitute z = 16 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 3401,
"question": "Consider a system of variables where each variable is defined as follows: l = s + 3; s = z + 10; w = n + 1; q = l + 13; c = g + 14; j = m + 3; g = j + 1; i = c + 11; y = z + 15; d = w + 6; m = y + 17; z = 16; n = q + 7. If z = 16, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 5", "s": "o + 18", "x": "s + 14", "g": "x + 3", "y": "g + 10", "r": "y + 10", "w": "p + 11", "h": "w + 13", "d": "h + 12", "t": "d + 14", "l": "t + 13", "f": "l + 7", "p": 2}, "premises": {"p": 2}, "target": "r"}, "answer": {"steps": [["y", "g + 10", "g + 20"], ["g", "x + 3", "x + 23"], ["x", "s + 14", "s + 37"], ["s", "o + 18", "o + 55"], ["o", "p + 5", "p + 60"], ["p", 2, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"p": 2}, "is_reverse": true}}
| 3,402
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 5; x = s + 14; s = o + 18; t = d + 14; h = w + 13; r = y + 10; g = x + 3; y = g + 10; p = 2; w = p + 11; f = l + 7; l = t + 13; d = h + 12. Given that p = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 10 to r, which gives r = g + 20.\n2. Substitute g = x + 3 to r, which gives r = x + 23.\n3. Substitute x = s + 14 to r, which gives r = s + 37.\n4. Substitute s = o + 18 to r, which gives r = o + 55.\n5. Substitute o = p + 5 to r, which gives r = p + 60.\n6. Substitute p = 2 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 3402,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 5; x = s + 14; s = o + 18; t = d + 14; h = w + 13; r = y + 10; g = x + 3; y = g + 10; p = 2; w = p + 11; f = l + 7; l = t + 13; d = h + 12. Given that p = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 3", "s": "a + 7", "m": "s + 15", "w": "m + 7", "p": "w + 20", "g": "p + 19", "d": "q + 8", "e": "d + 4", "x": "e + 18", "c": "x + 2", "u": "c + 11", "b": "u + 4", "q": 15}, "premises": {"q": 15}, "target": "g"}, "answer": {"steps": [["p", "w + 20", "w + 39"], ["w", "m + 7", "m + 46"], ["m", "s + 15", "s + 61"], ["s", "a + 7", "a + 68"], ["a", "q + 3", "q + 71"], ["q", 15, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"q": 15}, "is_reverse": true}}
| 3,403
| 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 = 15; u = c + 11; g = p + 19; a = q + 3; x = e + 18; c = x + 2; m = s + 15; p = w + 20; e = d + 4; s = a + 7; b = u + 4; d = q + 8; w = m + 7. If q = 15, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 20 to g, which gives g = w + 39.\n2. Substitute w = m + 7 to g, which gives g = m + 46.\n3. Substitute m = s + 15 to g, which gives g = s + 61.\n4. Substitute s = a + 7 to g, which gives g = a + 68.\n5. Substitute a = q + 3 to g, which gives g = q + 71.\n6. Substitute q = 15 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 3403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 15; u = c + 11; g = p + 19; a = q + 3; x = e + 18; c = x + 2; m = s + 15; p = w + 20; e = d + 4; s = a + 7; b = u + 4; d = q + 8; w = m + 7. If q = 15, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 5", "g": "o + 9", "k": "g + 5", "q": "k + 17", "s": "q + 20", "z": "s + 16", "j": "v + 5", "b": "j + 8", "i": "b + 3", "f": "i + 5", "a": "f + 7", "e": "a + 9", "v": 17}, "premises": {"v": 17}, "target": "z"}, "answer": {"steps": [["s", "q + 20", "q + 36"], ["q", "k + 17", "k + 53"], ["k", "g + 5", "g + 58"], ["g", "o + 9", "o + 67"], ["o", "v + 5", "v + 72"], ["v", 17, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"v": 17}, "is_reverse": true}}
| 3,404
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 8; z = s + 16; i = b + 3; g = o + 9; f = i + 5; q = k + 17; k = g + 5; v = 17; a = f + 7; s = q + 20; e = a + 9; j = v + 5; o = v + 5. Given that v = 17, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 20 to z, which gives z = q + 36.\n2. Substitute q = k + 17 to z, which gives z = k + 53.\n3. Substitute k = g + 5 to z, which gives z = g + 58.\n4. Substitute g = o + 9 to z, which gives z = o + 67.\n5. Substitute o = v + 5 to z, which gives z = v + 72.\n6. Substitute v = 17 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 3404,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 8; z = s + 16; i = b + 3; g = o + 9; f = i + 5; q = k + 17; k = g + 5; v = 17; a = f + 7; s = q + 20; e = a + 9; j = v + 5; o = v + 5. Given that v = 17, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"n": "g + 19", "p": "n + 1", "c": "p + 13", "j": "c + 17", "l": "j + 12", "q": "l + 18", "t": "g + 12", "a": "t + 4", "h": "a + 1", "s": "h + 15", "o": "s + 18", "w": "o + 12", "g": 8}, "premises": {"g": 8}, "target": "q"}, "answer": {"steps": [["l", "j + 12", "j + 30"], ["j", "c + 17", "c + 47"], ["c", "p + 13", "p + 60"], ["p", "n + 1", "n + 61"], ["n", "g + 19", "g + 80"], ["g", 8, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"g": 8}, "is_reverse": true}}
| 3,405
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 19; g = 8; s = h + 15; a = t + 4; h = a + 1; w = o + 12; j = c + 17; o = s + 18; c = p + 13; p = n + 1; l = j + 12; t = g + 12; q = l + 18. If g = 8, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 12 to q, which gives q = j + 30.\n2. Substitute j = c + 17 to q, which gives q = c + 47.\n3. Substitute c = p + 13 to q, which gives q = p + 60.\n4. Substitute p = n + 1 to q, which gives q = n + 61.\n5. Substitute n = g + 19 to q, which gives q = g + 80.\n6. Substitute g = 8 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 3405,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 19; g = 8; s = h + 15; a = t + 4; h = a + 1; w = o + 12; j = c + 17; o = s + 18; c = p + 13; p = n + 1; l = j + 12; t = g + 12; q = l + 18. If g = 8, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 5", "d": "v + 19", "x": "d + 4", "f": "x + 20", "l": "f + 12", "i": "l + 11", "n": "z + 13", "r": "n + 3", "o": "r + 3", "y": "o + 10", "q": "y + 1", "h": "q + 13", "z": 19}, "premises": {"z": 19}, "target": "i"}, "answer": {"steps": [["l", "f + 12", "f + 23"], ["f", "x + 20", "x + 43"], ["x", "d + 4", "d + 47"], ["d", "v + 19", "v + 66"], ["v", "z + 5", "z + 71"], ["z", 19, "90"]], "target_var_name": "i", "target_value": 90, "value_dict": {"z": 19}, "is_reverse": true}}
| 3,406
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 13; l = f + 12; y = o + 10; n = z + 13; r = n + 3; q = y + 1; o = r + 3; v = z + 5; x = d + 4; d = v + 19; i = l + 11; f = x + 20; z = 19. Given that z = 19, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 12 to i, which gives i = f + 23.\n2. Substitute f = x + 20 to i, which gives i = x + 43.\n3. Substitute x = d + 4 to i, which gives i = d + 47.\n4. Substitute d = v + 19 to i, which gives i = v + 66.\n5. Substitute v = z + 5 to i, which gives i = z + 71.\n6. Substitute z = 19 to i, which gives i = 90.\n\nThus, the final answer is i = \\boxed{90}.",
"index": 3406,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 13; l = f + 12; y = o + 10; n = z + 13; r = n + 3; q = y + 1; o = r + 3; v = z + 5; x = d + 4; d = v + 19; i = l + 11; f = x + 20; z = 19. Given that z = 19, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 5", "f": "t + 1", "q": "f + 7", "m": "q + 10", "a": "m + 8", "l": "a + 14", "o": "j + 6", "u": "o + 18", "p": "u + 18", "c": "p + 19", "b": "c + 19", "y": "b + 19", "j": 4}, "premises": {"j": 4}, "target": "l"}, "answer": {"steps": [["a", "m + 8", "m + 22"], ["m", "q + 10", "q + 32"], ["q", "f + 7", "f + 39"], ["f", "t + 1", "t + 40"], ["t", "j + 5", "j + 45"], ["j", 4, "49"]], "target_var_name": "l", "target_value": 49, "value_dict": {"j": 4}, "is_reverse": true}}
| 3,407
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = o + 18; q = f + 7; m = q + 10; l = a + 14; y = b + 19; a = m + 8; c = p + 19; t = j + 5; j = 4; f = t + 1; p = u + 18; o = j + 6; b = c + 19. Given that j = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 8 to l, which gives l = m + 22.\n2. Substitute m = q + 10 to l, which gives l = q + 32.\n3. Substitute q = f + 7 to l, which gives l = f + 39.\n4. Substitute f = t + 1 to l, which gives l = t + 40.\n5. Substitute t = j + 5 to l, which gives l = j + 45.\n6. Substitute j = 4 to l, which gives l = 49.\n\nThus, the final answer is l = \\boxed{49}.",
"index": 3407,
"question": "Suppose a collection of variables is related by the following definitions: u = o + 18; q = f + 7; m = q + 10; l = a + 14; y = b + 19; a = m + 8; c = p + 19; t = j + 5; j = 4; f = t + 1; p = u + 18; o = j + 6; b = c + 19. Given that j = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 18", "z": "p + 7", "b": "z + 12", "i": "b + 7", "o": "i + 5", "v": "o + 5", "d": "w + 4", "j": "d + 14", "m": "j + 10", "l": "m + 11", "q": "l + 4", "s": "q + 3", "w": 4}, "premises": {"w": 4}, "target": "v"}, "answer": {"steps": [["o", "i + 5", "i + 10"], ["i", "b + 7", "b + 17"], ["b", "z + 12", "z + 29"], ["z", "p + 7", "p + 36"], ["p", "w + 18", "w + 54"], ["w", 4, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"w": 4}, "is_reverse": true}}
| 3,408
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 12; o = i + 5; v = o + 5; s = q + 3; l = m + 11; w = 4; m = j + 10; d = w + 4; p = w + 18; j = d + 14; i = b + 7; z = p + 7; q = l + 4. Given that w = 4, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 5 to v, which gives v = i + 10.\n2. Substitute i = b + 7 to v, which gives v = b + 17.\n3. Substitute b = z + 12 to v, which gives v = z + 29.\n4. Substitute z = p + 7 to v, which gives v = p + 36.\n5. Substitute p = w + 18 to v, which gives v = w + 54.\n6. Substitute w = 4 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 3408,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 12; o = i + 5; v = o + 5; s = q + 3; l = m + 11; w = 4; m = j + 10; d = w + 4; p = w + 18; j = d + 14; i = b + 7; z = p + 7; q = l + 4. Given that w = 4, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 11", "v": "i + 16", "n": "v + 4", "f": "n + 18", "l": "f + 17", "u": "l + 4", "c": "b + 15", "e": "c + 20", "p": "e + 20", "z": "p + 10", "t": "z + 13", "s": "t + 5", "b": 3}, "premises": {"b": 3}, "target": "u"}, "answer": {"steps": [["l", "f + 17", "f + 21"], ["f", "n + 18", "n + 39"], ["n", "v + 4", "v + 43"], ["v", "i + 16", "i + 59"], ["i", "b + 11", "b + 70"], ["b", 3, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"b": 3}, "is_reverse": true}}
| 3,409
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 10; v = i + 16; b = 3; n = v + 4; l = f + 17; p = e + 20; u = l + 4; s = t + 5; c = b + 15; t = z + 13; f = n + 18; e = c + 20; i = b + 11. Given that b = 3, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 17 to u, which gives u = f + 21.\n2. Substitute f = n + 18 to u, which gives u = n + 39.\n3. Substitute n = v + 4 to u, which gives u = v + 43.\n4. Substitute v = i + 16 to u, which gives u = i + 59.\n5. Substitute i = b + 11 to u, which gives u = b + 70.\n6. Substitute b = 3 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 3409,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 10; v = i + 16; b = 3; n = v + 4; l = f + 17; p = e + 20; u = l + 4; s = t + 5; c = b + 15; t = z + 13; f = n + 18; e = c + 20; i = b + 11. Given that b = 3, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 5", "r": "b + 14", "t": "r + 12", "j": "t + 7", "e": "j + 16", "i": "e + 5", "o": "x + 9", "d": "o + 2", "n": "d + 9", "z": "n + 1", "h": "z + 18", "m": "h + 13", "x": 8}, "premises": {"x": 8}, "target": "i"}, "answer": {"steps": [["e", "j + 16", "j + 21"], ["j", "t + 7", "t + 28"], ["t", "r + 12", "r + 40"], ["r", "b + 14", "b + 54"], ["b", "x + 5", "x + 59"], ["x", 8, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"x": 8}, "is_reverse": true}}
| 3,410
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 12; m = h + 13; o = x + 9; r = b + 14; n = d + 9; i = e + 5; b = x + 5; z = n + 1; e = j + 16; h = z + 18; d = o + 2; x = 8; j = t + 7. If x = 8, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 16 to i, which gives i = j + 21.\n2. Substitute j = t + 7 to i, which gives i = t + 28.\n3. Substitute t = r + 12 to i, which gives i = r + 40.\n4. Substitute r = b + 14 to i, which gives i = b + 54.\n5. Substitute b = x + 5 to i, which gives i = x + 59.\n6. Substitute x = 8 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 3410,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 12; m = h + 13; o = x + 9; r = b + 14; n = d + 9; i = e + 5; b = x + 5; z = n + 1; e = j + 16; h = z + 18; d = o + 2; x = 8; j = t + 7. If x = 8, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"o": "z + 20", "y": "o + 1", "v": "y + 7", "r": "v + 10", "b": "r + 19", "d": "b + 18", "g": "z + 11", "c": "g + 19", "n": "c + 17", "w": "n + 4", "a": "w + 7", "q": "a + 2", "z": 16}, "premises": {"z": 16}, "target": "d"}, "answer": {"steps": [["b", "r + 19", "r + 37"], ["r", "v + 10", "v + 47"], ["v", "y + 7", "y + 54"], ["y", "o + 1", "o + 55"], ["o", "z + 20", "z + 75"], ["z", 16, "91"]], "target_var_name": "d", "target_value": 91, "value_dict": {"z": 16}, "is_reverse": true}}
| 3,411
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 16; b = r + 19; o = z + 20; c = g + 19; w = n + 4; n = c + 17; g = z + 11; a = w + 7; v = y + 7; r = v + 10; y = o + 1; d = b + 18; q = a + 2. If z = 16, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 19 to d, which gives d = r + 37.\n2. Substitute r = v + 10 to d, which gives d = v + 47.\n3. Substitute v = y + 7 to d, which gives d = y + 54.\n4. Substitute y = o + 1 to d, which gives d = o + 55.\n5. Substitute o = z + 20 to d, which gives d = z + 75.\n6. Substitute z = 16 to d, which gives d = 91.\n\nThus, the final answer is d = \\boxed{91}.",
"index": 3411,
"question": "Consider a system of variables where each variable is defined as follows: z = 16; b = r + 19; o = z + 20; c = g + 19; w = n + 4; n = c + 17; g = z + 11; a = w + 7; v = y + 7; r = v + 10; y = o + 1; d = b + 18; q = a + 2. If z = 16, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 13", "p": "l + 9", "h": "p + 12", "y": "h + 9", "w": "y + 10", "b": "w + 7", "z": "r + 19", "f": "z + 5", "o": "f + 6", "x": "o + 15", "m": "x + 2", "t": "m + 15", "r": 20}, "premises": {"r": 20}, "target": "b"}, "answer": {"steps": [["w", "y + 10", "y + 17"], ["y", "h + 9", "h + 26"], ["h", "p + 12", "p + 38"], ["p", "l + 9", "l + 47"], ["l", "r + 13", "r + 60"], ["r", 20, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,412
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 19; b = w + 7; h = p + 12; w = y + 10; f = z + 5; t = m + 15; m = x + 2; p = l + 9; x = o + 15; o = f + 6; l = r + 13; y = h + 9; r = 20. If r = 20, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 10 to b, which gives b = y + 17.\n2. Substitute y = h + 9 to b, which gives b = h + 26.\n3. Substitute h = p + 12 to b, which gives b = p + 38.\n4. Substitute p = l + 9 to b, which gives b = l + 47.\n5. Substitute l = r + 13 to b, which gives b = r + 60.\n6. Substitute r = 20 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 3412,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 19; b = w + 7; h = p + 12; w = y + 10; f = z + 5; t = m + 15; m = x + 2; p = l + 9; x = o + 15; o = f + 6; l = r + 13; y = h + 9; r = 20. If r = 20, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 9", "d": "v + 5", "p": "d + 19", "u": "p + 8", "x": "u + 5", "w": "x + 17", "f": "m + 19", "z": "f + 19", "t": "z + 7", "y": "t + 5", "k": "y + 18", "o": "k + 7", "m": 13}, "premises": {"m": 13}, "target": "w"}, "answer": {"steps": [["x", "u + 5", "u + 22"], ["u", "p + 8", "p + 30"], ["p", "d + 19", "d + 49"], ["d", "v + 5", "v + 54"], ["v", "m + 9", "m + 63"], ["m", 13, "76"]], "target_var_name": "w", "target_value": 76, "value_dict": {"m": 13}, "is_reverse": true}}
| 3,413
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = v + 5; v = m + 9; w = x + 17; t = z + 7; z = f + 19; f = m + 19; x = u + 5; m = 13; y = t + 5; u = p + 8; p = d + 19; k = y + 18; o = k + 7. Given that m = 13, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 5 to w, which gives w = u + 22.\n2. Substitute u = p + 8 to w, which gives w = p + 30.\n3. Substitute p = d + 19 to w, which gives w = d + 49.\n4. Substitute d = v + 5 to w, which gives w = v + 54.\n5. Substitute v = m + 9 to w, which gives w = m + 63.\n6. Substitute m = 13 to w, which gives w = 76.\n\nThus, the final answer is w = \\boxed{76}.",
"index": 3413,
"question": "Suppose a collection of variables is related by the following definitions: d = v + 5; v = m + 9; w = x + 17; t = z + 7; z = f + 19; f = m + 19; x = u + 5; m = 13; y = t + 5; u = p + 8; p = d + 19; k = y + 18; o = k + 7. Given that m = 13, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 12", "n": "s + 19", "i": "n + 16", "f": "i + 9", "w": "f + 9", "b": "w + 2", "t": "z + 15", "v": "t + 17", "k": "v + 13", "u": "k + 5", "y": "u + 5", "o": "y + 7", "z": 11}, "premises": {"z": 11}, "target": "b"}, "answer": {"steps": [["w", "f + 9", "f + 11"], ["f", "i + 9", "i + 20"], ["i", "n + 16", "n + 36"], ["n", "s + 19", "s + 55"], ["s", "z + 12", "z + 67"], ["z", 11, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"z": 11}, "is_reverse": true}}
| 3,414
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 2; k = v + 13; v = t + 17; n = s + 19; f = i + 9; y = u + 5; o = y + 7; w = f + 9; s = z + 12; t = z + 15; u = k + 5; z = 11; i = n + 16. Given that z = 11, find the 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 w = f + 9 to b, which gives b = f + 11.\n2. Substitute f = i + 9 to b, which gives b = i + 20.\n3. Substitute i = n + 16 to b, which gives b = n + 36.\n4. Substitute n = s + 19 to b, which gives b = s + 55.\n5. Substitute s = z + 12 to b, which gives b = z + 67.\n6. Substitute z = 11 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 3414,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 2; k = v + 13; v = t + 17; n = s + 19; f = i + 9; y = u + 5; o = y + 7; w = f + 9; s = z + 12; t = z + 15; u = k + 5; z = 11; i = n + 16. Given that z = 11, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 15", "s": "n + 20", "m": "s + 7", "o": "m + 3", "r": "o + 3", "q": "r + 5", "j": "a + 16", "g": "j + 10", "h": "g + 11", "v": "h + 14", "d": "v + 12", "b": "d + 12", "a": 9}, "premises": {"a": 9}, "target": "q"}, "answer": {"steps": [["r", "o + 3", "o + 8"], ["o", "m + 3", "m + 11"], ["m", "s + 7", "s + 18"], ["s", "n + 20", "n + 38"], ["n", "a + 15", "a + 53"], ["a", 9, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"a": 9}, "is_reverse": true}}
| 3,415
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 16; q = r + 5; v = h + 14; b = d + 12; s = n + 20; o = m + 3; a = 9; n = a + 15; g = j + 10; h = g + 11; d = v + 12; r = o + 3; m = s + 7. If a = 9, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 3 to q, which gives q = o + 8.\n2. Substitute o = m + 3 to q, which gives q = m + 11.\n3. Substitute m = s + 7 to q, which gives q = s + 18.\n4. Substitute s = n + 20 to q, which gives q = n + 38.\n5. Substitute n = a + 15 to q, which gives q = a + 53.\n6. Substitute a = 9 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 3415,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 16; q = r + 5; v = h + 14; b = d + 12; s = n + 20; o = m + 3; a = 9; n = a + 15; g = j + 10; h = g + 11; d = v + 12; r = o + 3; m = s + 7. If a = 9, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 10", "q": "m + 18", "g": "q + 16", "r": "g + 9", "i": "r + 5", "y": "i + 9", "l": "j + 20", "o": "l + 13", "d": "o + 18", "x": "d + 18", "e": "x + 14", "b": "e + 16", "j": 11}, "premises": {"j": 11}, "target": "y"}, "answer": {"steps": [["i", "r + 5", "r + 14"], ["r", "g + 9", "g + 23"], ["g", "q + 16", "q + 39"], ["q", "m + 18", "m + 57"], ["m", "j + 10", "j + 67"], ["j", 11, "78"]], "target_var_name": "y", "target_value": 78, "value_dict": {"j": 11}, "is_reverse": true}}
| 3,416
| 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 = m + 18; e = x + 14; m = j + 10; i = r + 5; o = l + 13; r = g + 9; d = o + 18; g = q + 16; l = j + 20; x = d + 18; b = e + 16; y = i + 9; j = 11. If j = 11, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 5 to y, which gives y = r + 14.\n2. Substitute r = g + 9 to y, which gives y = g + 23.\n3. Substitute g = q + 16 to y, which gives y = q + 39.\n4. Substitute q = m + 18 to y, which gives y = m + 57.\n5. Substitute m = j + 10 to y, which gives y = j + 67.\n6. Substitute j = 11 to y, which gives y = 78.\n\nThus, the final answer is y = \\boxed{78}.",
"index": 3416,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 18; e = x + 14; m = j + 10; i = r + 5; o = l + 13; r = g + 9; d = o + 18; g = q + 16; l = j + 20; x = d + 18; b = e + 16; y = i + 9; j = 11. If j = 11, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"e": "q + 3", "l": "e + 18", "p": "l + 15", "f": "p + 2", "z": "f + 18", "r": "z + 11", "y": "q + 18", "b": "y + 5", "i": "b + 2", "u": "i + 3", "m": "u + 5", "w": "m + 11", "q": 13}, "premises": {"q": 13}, "target": "r"}, "answer": {"steps": [["z", "f + 18", "f + 29"], ["f", "p + 2", "p + 31"], ["p", "l + 15", "l + 46"], ["l", "e + 18", "e + 64"], ["e", "q + 3", "q + 67"], ["q", 13, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"q": 13}, "is_reverse": true}}
| 3,417
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = q + 3; z = f + 18; i = b + 2; y = q + 18; b = y + 5; w = m + 11; f = p + 2; l = e + 18; u = i + 3; q = 13; p = l + 15; m = u + 5; r = z + 11. If q = 13, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 18 to r, which gives r = f + 29.\n2. Substitute f = p + 2 to r, which gives r = p + 31.\n3. Substitute p = l + 15 to r, which gives r = l + 46.\n4. Substitute l = e + 18 to r, which gives r = e + 64.\n5. Substitute e = q + 3 to r, which gives r = q + 67.\n6. Substitute q = 13 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 3417,
"question": "Consider a system of variables where each variable is defined as follows: e = q + 3; z = f + 18; i = b + 2; y = q + 18; b = y + 5; w = m + 11; f = p + 2; l = e + 18; u = i + 3; q = 13; p = l + 15; m = u + 5; r = z + 11. If q = 13, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 17", "t": "i + 4", "m": "t + 20", "y": "m + 6", "l": "y + 11", "r": "l + 12", "k": "x + 2", "j": "k + 2", "f": "j + 10", "b": "f + 16", "e": "b + 17", "q": "e + 7", "x": 17}, "premises": {"x": 17}, "target": "r"}, "answer": {"steps": [["l", "y + 11", "y + 23"], ["y", "m + 6", "m + 29"], ["m", "t + 20", "t + 49"], ["t", "i + 4", "i + 53"], ["i", "x + 17", "x + 70"], ["x", 17, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"x": 17}, "is_reverse": true}}
| 3,418
| 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 = x + 17; l = y + 11; q = e + 7; t = i + 4; r = l + 12; k = x + 2; y = m + 6; e = b + 17; f = j + 10; m = t + 20; b = f + 16; j = k + 2; x = 17. If x = 17, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 11 to r, which gives r = y + 23.\n2. Substitute y = m + 6 to r, which gives r = m + 29.\n3. Substitute m = t + 20 to r, which gives r = t + 49.\n4. Substitute t = i + 4 to r, which gives r = i + 53.\n5. Substitute i = x + 17 to r, which gives r = x + 70.\n6. Substitute x = 17 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 3418,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = x + 17; l = y + 11; q = e + 7; t = i + 4; r = l + 12; k = x + 2; y = m + 6; e = b + 17; f = j + 10; m = t + 20; b = f + 16; j = k + 2; x = 17. If x = 17, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"v": "j + 2", "o": "v + 10", "a": "o + 1", "l": "a + 9", "z": "l + 15", "w": "z + 17", "p": "j + 19", "h": "p + 7", "y": "h + 11", "b": "y + 5", "d": "b + 5", "u": "d + 8", "j": 10}, "premises": {"j": 10}, "target": "w"}, "answer": {"steps": [["z", "l + 15", "l + 32"], ["l", "a + 9", "a + 41"], ["a", "o + 1", "o + 42"], ["o", "v + 10", "v + 52"], ["v", "j + 2", "j + 54"], ["j", 10, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"j": 10}, "is_reverse": true}}
| 3,419
| 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 = v + 10; d = b + 5; l = a + 9; z = l + 15; y = h + 11; h = p + 7; b = y + 5; v = j + 2; a = o + 1; u = d + 8; w = z + 17; p = j + 19; j = 10. If j = 10, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 15 to w, which gives w = l + 32.\n2. Substitute l = a + 9 to w, which gives w = a + 41.\n3. Substitute a = o + 1 to w, which gives w = o + 42.\n4. Substitute o = v + 10 to w, which gives w = v + 52.\n5. Substitute v = j + 2 to w, which gives w = j + 54.\n6. Substitute j = 10 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 3419,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = v + 10; d = b + 5; l = a + 9; z = l + 15; y = h + 11; h = p + 7; b = y + 5; v = j + 2; a = o + 1; u = d + 8; w = z + 17; p = j + 19; j = 10. If j = 10, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 3", "w": "m + 13", "o": "w + 17", "i": "o + 16", "z": "i + 9", "u": "z + 19", "v": "r + 16", "f": "v + 15", "p": "f + 16", "x": "p + 2", "e": "x + 14", "t": "e + 5", "r": 20}, "premises": {"r": 20}, "target": "u"}, "answer": {"steps": [["z", "i + 9", "i + 28"], ["i", "o + 16", "o + 44"], ["o", "w + 17", "w + 61"], ["w", "m + 13", "m + 74"], ["m", "r + 3", "r + 77"], ["r", 20, "97"]], "target_var_name": "u", "target_value": 97, "value_dict": {"r": 20}, "is_reverse": true}}
| 3,420
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 5; o = w + 17; f = v + 15; x = p + 2; e = x + 14; r = 20; u = z + 19; p = f + 16; z = i + 9; m = r + 3; v = r + 16; i = o + 16; w = m + 13. If r = 20, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 9 to u, which gives u = i + 28.\n2. Substitute i = o + 16 to u, which gives u = o + 44.\n3. Substitute o = w + 17 to u, which gives u = w + 61.\n4. Substitute w = m + 13 to u, which gives u = m + 74.\n5. Substitute m = r + 3 to u, which gives u = r + 77.\n6. Substitute r = 20 to u, which gives u = 97.\n\nThus, the final answer is u = \\boxed{97}.",
"index": 3420,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = e + 5; o = w + 17; f = v + 15; x = p + 2; e = x + 14; r = 20; u = z + 19; p = f + 16; z = i + 9; m = r + 3; v = r + 16; i = o + 16; w = m + 13. If r = 20, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 14", "e": "k + 2", "i": "e + 10", "h": "i + 8", "y": "h + 9", "m": "y + 2", "g": "s + 15", "t": "g + 9", "f": "t + 5", "b": "f + 18", "p": "b + 9", "l": "p + 17", "s": 19}, "premises": {"s": 19}, "target": "m"}, "answer": {"steps": [["y", "h + 9", "h + 11"], ["h", "i + 8", "i + 19"], ["i", "e + 10", "e + 29"], ["e", "k + 2", "k + 31"], ["k", "s + 14", "s + 45"], ["s", 19, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"s": 19}, "is_reverse": true}}
| 3,421
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 8; f = t + 5; k = s + 14; e = k + 2; i = e + 10; b = f + 18; y = h + 9; t = g + 9; p = b + 9; l = p + 17; m = y + 2; s = 19; g = s + 15. If s = 19, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 9 to m, which gives m = h + 11.\n2. Substitute h = i + 8 to m, which gives m = i + 19.\n3. Substitute i = e + 10 to m, which gives m = e + 29.\n4. Substitute e = k + 2 to m, which gives m = k + 31.\n5. Substitute k = s + 14 to m, which gives m = s + 45.\n6. Substitute s = 19 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 3421,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 8; f = t + 5; k = s + 14; e = k + 2; i = e + 10; b = f + 18; y = h + 9; t = g + 9; p = b + 9; l = p + 17; m = y + 2; s = 19; g = s + 15. If s = 19, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"k": "x + 19", "t": "k + 2", "a": "t + 14", "m": "a + 5", "l": "m + 6", "z": "l + 18", "o": "x + 14", "f": "o + 17", "b": "f + 3", "r": "b + 20", "c": "r + 2", "g": "c + 6", "x": 1}, "premises": {"x": 1}, "target": "z"}, "answer": {"steps": [["l", "m + 6", "m + 24"], ["m", "a + 5", "a + 29"], ["a", "t + 14", "t + 43"], ["t", "k + 2", "k + 45"], ["k", "x + 19", "x + 64"], ["x", 1, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"x": 1}, "is_reverse": true}}
| 3,422
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = t + 14; o = x + 14; l = m + 6; b = f + 3; m = a + 5; k = x + 19; c = r + 2; t = k + 2; r = b + 20; f = o + 17; z = l + 18; g = c + 6; x = 1. Given that x = 1, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 6 to z, which gives z = m + 24.\n2. Substitute m = a + 5 to z, which gives z = a + 29.\n3. Substitute a = t + 14 to z, which gives z = t + 43.\n4. Substitute t = k + 2 to z, which gives z = k + 45.\n5. Substitute k = x + 19 to z, which gives z = x + 64.\n6. Substitute x = 1 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 3422,
"question": "Suppose a collection of variables is related by the following definitions: a = t + 14; o = x + 14; l = m + 6; b = f + 3; m = a + 5; k = x + 19; c = r + 2; t = k + 2; r = b + 20; f = o + 17; z = l + 18; g = c + 6; x = 1. Given that x = 1, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 10", "z": "p + 18", "d": "z + 13", "m": "d + 16", "y": "m + 4", "c": "y + 12", "o": "i + 10", "w": "o + 1", "j": "w + 11", "f": "j + 19", "u": "f + 9", "h": "u + 13", "i": 11}, "premises": {"i": 11}, "target": "c"}, "answer": {"steps": [["y", "m + 4", "m + 16"], ["m", "d + 16", "d + 32"], ["d", "z + 13", "z + 45"], ["z", "p + 18", "p + 63"], ["p", "i + 10", "i + 73"], ["i", 11, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"i": 11}, "is_reverse": true}}
| 3,423
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 11; h = u + 13; c = y + 12; m = d + 16; i = 11; w = o + 1; u = f + 9; y = m + 4; p = i + 10; f = j + 19; z = p + 18; o = i + 10; d = z + 13. Given that i = 11, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 4 to c, which gives c = m + 16.\n2. Substitute m = d + 16 to c, which gives c = d + 32.\n3. Substitute d = z + 13 to c, which gives c = z + 45.\n4. Substitute z = p + 18 to c, which gives c = p + 63.\n5. Substitute p = i + 10 to c, which gives c = i + 73.\n6. Substitute i = 11 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 3423,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 11; h = u + 13; c = y + 12; m = d + 16; i = 11; w = o + 1; u = f + 9; y = m + 4; p = i + 10; f = j + 19; z = p + 18; o = i + 10; d = z + 13. Given that i = 11, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 6", "k": "q + 18", "m": "k + 2", "c": "m + 4", "s": "c + 13", "t": "s + 4", "a": "f + 8", "v": "a + 8", "u": "v + 6", "j": "u + 11", "z": "j + 12", "w": "z + 13", "f": 20}, "premises": {"f": 20}, "target": "t"}, "answer": {"steps": [["s", "c + 13", "c + 17"], ["c", "m + 4", "m + 21"], ["m", "k + 2", "k + 23"], ["k", "q + 18", "q + 41"], ["q", "f + 6", "f + 47"], ["f", 20, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"f": 20}, "is_reverse": true}}
| 3,424
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = s + 4; v = a + 8; u = v + 6; f = 20; z = j + 12; j = u + 11; k = q + 18; w = z + 13; a = f + 8; q = f + 6; c = m + 4; s = c + 13; m = k + 2. If f = 20, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = c + 13 to t, which gives t = c + 17.\n2. Substitute c = m + 4 to t, which gives t = m + 21.\n3. Substitute m = k + 2 to t, which gives t = k + 23.\n4. Substitute k = q + 18 to t, which gives t = q + 41.\n5. Substitute q = f + 6 to t, which gives t = f + 47.\n6. Substitute f = 20 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 3424,
"question": "Consider a system of variables where each variable is defined as follows: t = s + 4; v = a + 8; u = v + 6; f = 20; z = j + 12; j = u + 11; k = q + 18; w = z + 13; a = f + 8; q = f + 6; c = m + 4; s = c + 13; m = k + 2. If f = 20, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 15", "a": "p + 13", "c": "a + 3", "j": "c + 20", "t": "j + 6", "s": "t + 16", "g": "k + 17", "r": "g + 4", "n": "r + 8", "f": "n + 15", "b": "f + 17", "w": "b + 17", "k": 19}, "premises": {"k": 19}, "target": "s"}, "answer": {"steps": [["t", "j + 6", "j + 22"], ["j", "c + 20", "c + 42"], ["c", "a + 3", "a + 45"], ["a", "p + 13", "p + 58"], ["p", "k + 15", "k + 73"], ["k", 19, "92"]], "target_var_name": "s", "target_value": 92, "value_dict": {"k": 19}, "is_reverse": true}}
| 3,425
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = n + 15; r = g + 4; k = 19; n = r + 8; t = j + 6; c = a + 3; b = f + 17; p = k + 15; s = t + 16; g = k + 17; a = p + 13; j = c + 20; w = b + 17. If k = 19, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 6 to s, which gives s = j + 22.\n2. Substitute j = c + 20 to s, which gives s = c + 42.\n3. Substitute c = a + 3 to s, which gives s = a + 45.\n4. Substitute a = p + 13 to s, which gives s = p + 58.\n5. Substitute p = k + 15 to s, which gives s = k + 73.\n6. Substitute k = 19 to s, which gives s = 92.\n\nThus, the final answer is s = \\boxed{92}.",
"index": 3425,
"question": "Consider a system of variables where each variable is defined as follows: f = n + 15; r = g + 4; k = 19; n = r + 8; t = j + 6; c = a + 3; b = f + 17; p = k + 15; s = t + 16; g = k + 17; a = p + 13; j = c + 20; w = b + 17. If k = 19, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "c + 1", "b": "y + 16", "r": "b + 2", "e": "r + 9", "j": "e + 13", "k": "j + 7", "w": "c + 12", "s": "w + 9", "f": "s + 18", "m": "f + 18", "x": "m + 18", "u": "x + 6", "c": 19}, "premises": {"c": 19}, "target": "k"}, "answer": {"steps": [["j", "e + 13", "e + 20"], ["e", "r + 9", "r + 29"], ["r", "b + 2", "b + 31"], ["b", "y + 16", "y + 47"], ["y", "c + 1", "c + 48"], ["c", 19, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"c": 19}, "is_reverse": true}}
| 3,426
| 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 = c + 1; w = c + 12; s = w + 9; b = y + 16; u = x + 6; r = b + 2; m = f + 18; j = e + 13; c = 19; e = r + 9; k = j + 7; f = s + 18; x = m + 18. If c = 19, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 13 to k, which gives k = e + 20.\n2. Substitute e = r + 9 to k, which gives k = r + 29.\n3. Substitute r = b + 2 to k, which gives k = b + 31.\n4. Substitute b = y + 16 to k, which gives k = y + 47.\n5. Substitute y = c + 1 to k, which gives k = c + 48.\n6. Substitute c = 19 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 3426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = c + 1; w = c + 12; s = w + 9; b = y + 16; u = x + 6; r = b + 2; m = f + 18; j = e + 13; c = 19; e = r + 9; k = j + 7; f = s + 18; x = m + 18. If c = 19, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 17", "v": "l + 5", "j": "v + 4", "f": "j + 7", "n": "f + 6", "z": "n + 20", "k": "r + 16", "a": "k + 10", "t": "a + 13", "c": "t + 7", "w": "c + 6", "o": "w + 4", "r": 16}, "premises": {"r": 16}, "target": "z"}, "answer": {"steps": [["n", "f + 6", "f + 26"], ["f", "j + 7", "j + 33"], ["j", "v + 4", "v + 37"], ["v", "l + 5", "l + 42"], ["l", "r + 17", "r + 59"], ["r", 16, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"r": 16}, "is_reverse": true}}
| 3,427
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = n + 20; t = a + 13; j = v + 4; o = w + 4; w = c + 6; c = t + 7; r = 16; l = r + 17; a = k + 10; v = l + 5; f = j + 7; k = r + 16; n = f + 6. Given that r = 16, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 6 to z, which gives z = f + 26.\n2. Substitute f = j + 7 to z, which gives z = j + 33.\n3. Substitute j = v + 4 to z, which gives z = v + 37.\n4. Substitute v = l + 5 to z, which gives z = l + 42.\n5. Substitute l = r + 17 to z, which gives z = r + 59.\n6. Substitute r = 16 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 3427,
"question": "Suppose a collection of variables is related by the following definitions: z = n + 20; t = a + 13; j = v + 4; o = w + 4; w = c + 6; c = t + 7; r = 16; l = r + 17; a = k + 10; v = l + 5; f = j + 7; k = r + 16; n = f + 6. Given that r = 16, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 8", "g": "z + 18", "p": "g + 1", "m": "p + 20", "k": "m + 20", "e": "k + 6", "h": "o + 7", "t": "h + 7", "j": "t + 11", "r": "j + 1", "b": "r + 7", "u": "b + 4", "o": 8}, "premises": {"o": 8}, "target": "e"}, "answer": {"steps": [["k", "m + 20", "m + 26"], ["m", "p + 20", "p + 46"], ["p", "g + 1", "g + 47"], ["g", "z + 18", "z + 65"], ["z", "o + 8", "o + 73"], ["o", 8, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"o": 8}, "is_reverse": true}}
| 3,428
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 7; m = p + 20; b = r + 7; e = k + 6; r = j + 1; k = m + 20; j = t + 11; p = g + 1; g = z + 18; u = b + 4; o = 8; z = o + 8; h = o + 7. Given that o = 8, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 20 to e, which gives e = m + 26.\n2. Substitute m = p + 20 to e, which gives e = p + 46.\n3. Substitute p = g + 1 to e, which gives e = g + 47.\n4. Substitute g = z + 18 to e, which gives e = z + 65.\n5. Substitute z = o + 8 to e, which gives e = o + 73.\n6. Substitute o = 8 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 3428,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 7; m = p + 20; b = r + 7; e = k + 6; r = j + 1; k = m + 20; j = t + 11; p = g + 1; g = z + 18; u = b + 4; o = 8; z = o + 8; h = o + 7. Given that o = 8, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "o + 2", "g": "e + 15", "x": "g + 7", "q": "x + 13", "b": "q + 11", "k": "b + 10", "a": "o + 17", "y": "a + 7", "j": "y + 12", "r": "j + 7", "s": "r + 6", "v": "s + 8", "o": 7}, "premises": {"o": 7}, "target": "k"}, "answer": {"steps": [["b", "q + 11", "q + 21"], ["q", "x + 13", "x + 34"], ["x", "g + 7", "g + 41"], ["g", "e + 15", "e + 56"], ["e", "o + 2", "o + 58"], ["o", 7, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"o": 7}, "is_reverse": true}}
| 3,429
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 7; q = x + 13; r = j + 7; g = e + 15; v = s + 8; j = y + 12; k = b + 10; e = o + 2; y = a + 7; b = q + 11; s = r + 6; o = 7; a = o + 17. Given that o = 7, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 11 to k, which gives k = q + 21.\n2. Substitute q = x + 13 to k, which gives k = x + 34.\n3. Substitute x = g + 7 to k, which gives k = g + 41.\n4. Substitute g = e + 15 to k, which gives k = e + 56.\n5. Substitute e = o + 2 to k, which gives k = o + 58.\n6. Substitute o = 7 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 3429,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 7; q = x + 13; r = j + 7; g = e + 15; v = s + 8; j = y + 12; k = b + 10; e = o + 2; y = a + 7; b = q + 11; s = r + 6; o = 7; a = o + 17. Given that o = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 6", "r": "e + 3", "v": "r + 1", "j": "v + 16", "s": "j + 17", "c": "s + 12", "w": "d + 2", "o": "w + 14", "z": "o + 10", "l": "z + 14", "q": "l + 5", "f": "q + 6", "d": 7}, "premises": {"d": 7}, "target": "c"}, "answer": {"steps": [["s", "j + 17", "j + 29"], ["j", "v + 16", "v + 45"], ["v", "r + 1", "r + 46"], ["r", "e + 3", "e + 49"], ["e", "d + 6", "d + 55"], ["d", 7, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"d": 7}, "is_reverse": true}}
| 3,430
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 2; j = v + 16; d = 7; l = z + 14; s = j + 17; v = r + 1; e = d + 6; c = s + 12; f = q + 6; r = e + 3; z = o + 10; q = l + 5; o = w + 14. If d = 7, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 17 to c, which gives c = j + 29.\n2. Substitute j = v + 16 to c, which gives c = v + 45.\n3. Substitute v = r + 1 to c, which gives c = r + 46.\n4. Substitute r = e + 3 to c, which gives c = e + 49.\n5. Substitute e = d + 6 to c, which gives c = d + 55.\n6. Substitute d = 7 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 3430,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 2; j = v + 16; d = 7; l = z + 14; s = j + 17; v = r + 1; e = d + 6; c = s + 12; f = q + 6; r = e + 3; z = o + 10; q = l + 5; o = w + 14. If d = 7, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 3", "f": "c + 12", "q": "f + 3", "l": "q + 7", "x": "l + 11", "i": "x + 11", "v": "z + 7", "h": "v + 10", "y": "h + 9", "s": "y + 3", "d": "s + 2", "o": "d + 17", "z": 17}, "premises": {"z": 17}, "target": "i"}, "answer": {"steps": [["x", "l + 11", "l + 22"], ["l", "q + 7", "q + 29"], ["q", "f + 3", "f + 32"], ["f", "c + 12", "c + 44"], ["c", "z + 3", "z + 47"], ["z", 17, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"z": 17}, "is_reverse": true}}
| 3,431
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 3; o = d + 17; c = z + 3; z = 17; l = q + 7; x = l + 11; q = f + 3; h = v + 10; y = h + 9; i = x + 11; d = s + 2; v = z + 7; f = c + 12. If z = 17, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 11 to i, which gives i = l + 22.\n2. Substitute l = q + 7 to i, which gives i = q + 29.\n3. Substitute q = f + 3 to i, which gives i = f + 32.\n4. Substitute f = c + 12 to i, which gives i = c + 44.\n5. Substitute c = z + 3 to i, which gives i = z + 47.\n6. Substitute z = 17 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 3431,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 3; o = d + 17; c = z + 3; z = 17; l = q + 7; x = l + 11; q = f + 3; h = v + 10; y = h + 9; i = x + 11; d = s + 2; v = z + 7; f = c + 12. If z = 17, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 13", "q": "n + 12", "i": "q + 6", "b": "i + 2", "t": "b + 6", "s": "t + 18", "z": "p + 13", "j": "z + 11", "m": "j + 8", "a": "m + 7", "e": "a + 16", "o": "e + 15", "p": 14}, "premises": {"p": 14}, "target": "s"}, "answer": {"steps": [["t", "b + 6", "b + 24"], ["b", "i + 2", "i + 26"], ["i", "q + 6", "q + 32"], ["q", "n + 12", "n + 44"], ["n", "p + 13", "p + 57"], ["p", 14, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"p": 14}, "is_reverse": true}}
| 3,432
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = m + 7; s = t + 18; b = i + 2; q = n + 12; p = 14; z = p + 13; e = a + 16; n = p + 13; m = j + 8; o = e + 15; i = q + 6; t = b + 6; j = z + 11. Given that p = 14, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 6 to s, which gives s = b + 24.\n2. Substitute b = i + 2 to s, which gives s = i + 26.\n3. Substitute i = q + 6 to s, which gives s = q + 32.\n4. Substitute q = n + 12 to s, which gives s = n + 44.\n5. Substitute n = p + 13 to s, which gives s = p + 57.\n6. Substitute p = 14 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 3432,
"question": "Suppose a collection of variables is related by the following definitions: a = m + 7; s = t + 18; b = i + 2; q = n + 12; p = 14; z = p + 13; e = a + 16; n = p + 13; m = j + 8; o = e + 15; i = q + 6; t = b + 6; j = z + 11. Given that p = 14, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "x + 2", "h": "n + 19", "i": "h + 5", "d": "i + 2", "f": "d + 14", "y": "f + 18", "t": "x + 19", "j": "t + 17", "p": "j + 12", "w": "p + 18", "k": "w + 19", "v": "k + 10", "x": 2}, "premises": {"x": 2}, "target": "y"}, "answer": {"steps": [["f", "d + 14", "d + 32"], ["d", "i + 2", "i + 34"], ["i", "h + 5", "h + 39"], ["h", "n + 19", "n + 58"], ["n", "x + 2", "x + 60"], ["x", 2, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"x": 2}, "is_reverse": true}}
| 3,433
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 5; x = 2; h = n + 19; p = j + 12; k = w + 19; v = k + 10; j = t + 17; t = x + 19; y = f + 18; f = d + 14; d = i + 2; w = p + 18; n = x + 2. If x = 2, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 14 to y, which gives y = d + 32.\n2. Substitute d = i + 2 to y, which gives y = i + 34.\n3. Substitute i = h + 5 to y, which gives y = h + 39.\n4. Substitute h = n + 19 to y, which gives y = n + 58.\n5. Substitute n = x + 2 to y, which gives y = x + 60.\n6. Substitute x = 2 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 3433,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 5; x = 2; h = n + 19; p = j + 12; k = w + 19; v = k + 10; j = t + 17; t = x + 19; y = f + 18; f = d + 14; d = i + 2; w = p + 18; n = x + 2. If x = 2, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 9", "m": "f + 14", "d": "m + 18", "r": "d + 10", "v": "r + 9", "x": "v + 3", "p": "k + 14", "n": "p + 5", "b": "n + 4", "g": "b + 14", "z": "g + 8", "q": "z + 20", "k": 19}, "premises": {"k": 19}, "target": "x"}, "answer": {"steps": [["v", "r + 9", "r + 12"], ["r", "d + 10", "d + 22"], ["d", "m + 18", "m + 40"], ["m", "f + 14", "f + 54"], ["f", "k + 9", "k + 63"], ["k", 19, "82"]], "target_var_name": "x", "target_value": 82, "value_dict": {"k": 19}, "is_reverse": true}}
| 3,434
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = n + 4; q = z + 20; k = 19; r = d + 10; d = m + 18; p = k + 14; n = p + 5; g = b + 14; m = f + 14; v = r + 9; x = v + 3; f = k + 9; z = g + 8. Given that k = 19, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 9 to x, which gives x = r + 12.\n2. Substitute r = d + 10 to x, which gives x = d + 22.\n3. Substitute d = m + 18 to x, which gives x = m + 40.\n4. Substitute m = f + 14 to x, which gives x = f + 54.\n5. Substitute f = k + 9 to x, which gives x = k + 63.\n6. Substitute k = 19 to x, which gives x = 82.\n\nThus, the final answer is x = \\boxed{82}.",
"index": 3434,
"question": "Suppose a collection of variables is related by the following definitions: b = n + 4; q = z + 20; k = 19; r = d + 10; d = m + 18; p = k + 14; n = p + 5; g = b + 14; m = f + 14; v = r + 9; x = v + 3; f = k + 9; z = g + 8. Given that k = 19, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 8", "j": "r + 10", "v": "j + 15", "f": "v + 19", "w": "f + 2", "c": "w + 5", "b": "s + 10", "y": "b + 17", "e": "y + 1", "i": "e + 2", "q": "i + 19", "a": "q + 20", "s": 7}, "premises": {"s": 7}, "target": "c"}, "answer": {"steps": [["w", "f + 2", "f + 7"], ["f", "v + 19", "v + 26"], ["v", "j + 15", "j + 41"], ["j", "r + 10", "r + 51"], ["r", "s + 8", "s + 59"], ["s", 7, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"s": 7}, "is_reverse": true}}
| 3,435
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 5; b = s + 10; e = y + 1; w = f + 2; f = v + 19; q = i + 19; i = e + 2; a = q + 20; r = s + 8; y = b + 17; j = r + 10; s = 7; v = j + 15. Given that s = 7, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 2 to c, which gives c = f + 7.\n2. Substitute f = v + 19 to c, which gives c = v + 26.\n3. Substitute v = j + 15 to c, which gives c = j + 41.\n4. Substitute j = r + 10 to c, which gives c = r + 51.\n5. Substitute r = s + 8 to c, which gives c = s + 59.\n6. Substitute s = 7 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 3435,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 5; b = s + 10; e = y + 1; w = f + 2; f = v + 19; q = i + 19; i = e + 2; a = q + 20; r = s + 8; y = b + 17; j = r + 10; s = 7; v = j + 15. Given that s = 7, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 12", "u": "y + 1", "a": "u + 5", "p": "a + 8", "z": "p + 19", "h": "z + 13", "f": "t + 2", "m": "f + 20", "i": "m + 2", "d": "i + 11", "l": "d + 3", "e": "l + 14", "t": 14}, "premises": {"t": 14}, "target": "h"}, "answer": {"steps": [["z", "p + 19", "p + 32"], ["p", "a + 8", "a + 40"], ["a", "u + 5", "u + 45"], ["u", "y + 1", "y + 46"], ["y", "t + 12", "t + 58"], ["t", 14, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"t": 14}, "is_reverse": true}}
| 3,436
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = 14; p = a + 8; z = p + 19; d = i + 11; l = d + 3; u = y + 1; e = l + 14; a = u + 5; f = t + 2; y = t + 12; i = m + 2; m = f + 20; h = z + 13. Given that t = 14, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 19 to h, which gives h = p + 32.\n2. Substitute p = a + 8 to h, which gives h = a + 40.\n3. Substitute a = u + 5 to h, which gives h = u + 45.\n4. Substitute u = y + 1 to h, which gives h = y + 46.\n5. Substitute y = t + 12 to h, which gives h = t + 58.\n6. Substitute t = 14 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 3436,
"question": "Suppose a collection of variables is related by the following definitions: t = 14; p = a + 8; z = p + 19; d = i + 11; l = d + 3; u = y + 1; e = l + 14; a = u + 5; f = t + 2; y = t + 12; i = m + 2; m = f + 20; h = z + 13. Given that t = 14, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "f + 3", "e": "z + 2", "b": "e + 3", "g": "b + 2", "h": "g + 17", "k": "h + 8", "x": "f + 20", "d": "x + 16", "t": "d + 2", "r": "t + 7", "u": "r + 14", "i": "u + 1", "f": 15}, "premises": {"f": 15}, "target": "k"}, "answer": {"steps": [["h", "g + 17", "g + 25"], ["g", "b + 2", "b + 27"], ["b", "e + 3", "e + 30"], ["e", "z + 2", "z + 32"], ["z", "f + 3", "f + 35"], ["f", 15, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"f": 15}, "is_reverse": true}}
| 3,437
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 15; u = r + 14; d = x + 16; z = f + 3; h = g + 17; b = e + 3; g = b + 2; x = f + 20; t = d + 2; r = t + 7; k = h + 8; e = z + 2; i = u + 1. If f = 15, 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 h = g + 17 to k, which gives k = g + 25.\n2. Substitute g = b + 2 to k, which gives k = b + 27.\n3. Substitute b = e + 3 to k, which gives k = e + 30.\n4. Substitute e = z + 2 to k, which gives k = z + 32.\n5. Substitute z = f + 3 to k, which gives k = f + 35.\n6. Substitute f = 15 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 3437,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 15; u = r + 14; d = x + 16; z = f + 3; h = g + 17; b = e + 3; g = b + 2; x = f + 20; t = d + 2; r = t + 7; k = h + 8; e = z + 2; i = u + 1. If f = 15, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 8", "w": "x + 6", "m": "w + 7", "g": "m + 12", "p": "g + 19", "j": "p + 1", "t": "n + 5", "q": "t + 12", "e": "q + 13", "a": "e + 8", "u": "a + 2", "y": "u + 7", "n": 10}, "premises": {"n": 10}, "target": "j"}, "answer": {"steps": [["p", "g + 19", "g + 20"], ["g", "m + 12", "m + 32"], ["m", "w + 7", "w + 39"], ["w", "x + 6", "x + 45"], ["x", "n + 8", "n + 53"], ["n", 10, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"n": 10}, "is_reverse": true}}
| 3,438
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 5; j = p + 1; a = e + 8; u = a + 2; q = t + 12; g = m + 12; m = w + 7; n = 10; x = n + 8; e = q + 13; p = g + 19; w = x + 6; y = u + 7. Given that n = 10, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 19 to j, which gives j = g + 20.\n2. Substitute g = m + 12 to j, which gives j = m + 32.\n3. Substitute m = w + 7 to j, which gives j = w + 39.\n4. Substitute w = x + 6 to j, which gives j = x + 45.\n5. Substitute x = n + 8 to j, which gives j = n + 53.\n6. Substitute n = 10 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 3438,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 5; j = p + 1; a = e + 8; u = a + 2; q = t + 12; g = m + 12; m = w + 7; n = 10; x = n + 8; e = q + 13; p = g + 19; w = x + 6; y = u + 7. Given that n = 10, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"b": "z + 5", "d": "b + 5", "x": "d + 10", "e": "x + 4", "a": "e + 11", "j": "a + 20", "k": "z + 14", "f": "k + 4", "i": "f + 1", "v": "i + 12", "r": "v + 3", "g": "r + 7", "z": 20}, "premises": {"z": 20}, "target": "j"}, "answer": {"steps": [["a", "e + 11", "e + 31"], ["e", "x + 4", "x + 35"], ["x", "d + 10", "d + 45"], ["d", "b + 5", "b + 50"], ["b", "z + 5", "z + 55"], ["z", 20, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"z": 20}, "is_reverse": true}}
| 3,439
| 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 = f + 1; k = z + 14; v = i + 12; x = d + 10; g = r + 7; b = z + 5; z = 20; a = e + 11; e = x + 4; j = a + 20; r = v + 3; d = b + 5; f = k + 4. If z = 20, 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 a = e + 11 to j, which gives j = e + 31.\n2. Substitute e = x + 4 to j, which gives j = x + 35.\n3. Substitute x = d + 10 to j, which gives j = d + 45.\n4. Substitute d = b + 5 to j, which gives j = b + 50.\n5. Substitute b = z + 5 to j, which gives j = z + 55.\n6. Substitute z = 20 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 3439,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 1; k = z + 14; v = i + 12; x = d + 10; g = r + 7; b = z + 5; z = 20; a = e + 11; e = x + 4; j = a + 20; r = v + 3; d = b + 5; f = k + 4. If z = 20, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 7", "z": "l + 14", "e": "z + 17", "m": "e + 16", "o": "m + 18", "u": "o + 20", "g": "c + 19", "d": "g + 16", "n": "d + 3", "r": "n + 3", "q": "r + 7", "i": "q + 10", "c": 10}, "premises": {"c": 10}, "target": "u"}, "answer": {"steps": [["o", "m + 18", "m + 38"], ["m", "e + 16", "e + 54"], ["e", "z + 17", "z + 71"], ["z", "l + 14", "l + 85"], ["l", "c + 7", "c + 92"], ["c", 10, "102"]], "target_var_name": "u", "target_value": 102, "value_dict": {"c": 10}, "is_reverse": true}}
| 3,440
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = r + 7; z = l + 14; m = e + 16; r = n + 3; l = c + 7; u = o + 20; e = z + 17; i = q + 10; d = g + 16; g = c + 19; n = d + 3; o = m + 18; c = 10. Given that c = 10, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 18 to u, which gives u = m + 38.\n2. Substitute m = e + 16 to u, which gives u = e + 54.\n3. Substitute e = z + 17 to u, which gives u = z + 71.\n4. Substitute z = l + 14 to u, which gives u = l + 85.\n5. Substitute l = c + 7 to u, which gives u = c + 92.\n6. Substitute c = 10 to u, which gives u = 102.\n\nThus, the final answer is u = \\boxed{102}.",
"index": 3440,
"question": "Suppose a collection of variables is related by the following definitions: q = r + 7; z = l + 14; m = e + 16; r = n + 3; l = c + 7; u = o + 20; e = z + 17; i = q + 10; d = g + 16; g = c + 19; n = d + 3; o = m + 18; c = 10. Given that c = 10, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"r": "z + 7", "a": "r + 5", "u": "a + 12", "l": "u + 4", "i": "l + 5", "h": "i + 13", "m": "z + 13", "s": "m + 10", "v": "s + 6", "e": "v + 6", "b": "e + 19", "y": "b + 19", "z": 1}, "premises": {"z": 1}, "target": "h"}, "answer": {"steps": [["i", "l + 5", "l + 18"], ["l", "u + 4", "u + 22"], ["u", "a + 12", "a + 34"], ["a", "r + 5", "r + 39"], ["r", "z + 7", "z + 46"], ["z", 1, "47"]], "target_var_name": "h", "target_value": 47, "value_dict": {"z": 1}, "is_reverse": true}}
| 3,441
| 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 = l + 5; r = z + 7; e = v + 6; v = s + 6; s = m + 10; u = a + 12; l = u + 4; y = b + 19; h = i + 13; a = r + 5; b = e + 19; z = 1; m = z + 13. If z = 1, 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 i = l + 5 to h, which gives h = l + 18.\n2. Substitute l = u + 4 to h, which gives h = u + 22.\n3. Substitute u = a + 12 to h, which gives h = a + 34.\n4. Substitute a = r + 5 to h, which gives h = r + 39.\n5. Substitute r = z + 7 to h, which gives h = z + 46.\n6. Substitute z = 1 to h, which gives h = 47.\n\nThus, the final answer is h = \\boxed{47}.",
"index": 3441,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = l + 5; r = z + 7; e = v + 6; v = s + 6; s = m + 10; u = a + 12; l = u + 4; y = b + 19; h = i + 13; a = r + 5; b = e + 19; z = 1; m = z + 13. If z = 1, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 19", "y": "b + 4", "t": "y + 17", "x": "t + 12", "d": "x + 9", "l": "d + 12", "n": "j + 19", "e": "n + 20", "u": "e + 10", "h": "u + 17", "r": "h + 17", "s": "r + 11", "j": 12}, "premises": {"j": 12}, "target": "l"}, "answer": {"steps": [["d", "x + 9", "x + 21"], ["x", "t + 12", "t + 33"], ["t", "y + 17", "y + 50"], ["y", "b + 4", "b + 54"], ["b", "j + 19", "j + 73"], ["j", 12, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"j": 12}, "is_reverse": true}}
| 3,442
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 12; x = t + 12; t = y + 17; e = n + 20; u = e + 10; y = b + 4; r = h + 17; h = u + 17; d = x + 9; j = 12; n = j + 19; s = r + 11; b = j + 19. If j = 12, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 9 to l, which gives l = x + 21.\n2. Substitute x = t + 12 to l, which gives l = t + 33.\n3. Substitute t = y + 17 to l, which gives l = y + 50.\n4. Substitute y = b + 4 to l, which gives l = b + 54.\n5. Substitute b = j + 19 to l, which gives l = j + 73.\n6. Substitute j = 12 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 3442,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = d + 12; x = t + 12; t = y + 17; e = n + 20; u = e + 10; y = b + 4; r = h + 17; h = u + 17; d = x + 9; j = 12; n = j + 19; s = r + 11; b = j + 19. If j = 12, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 10", "t": "m + 3", "r": "t + 1", "j": "r + 14", "u": "j + 5", "h": "u + 5", "q": "w + 7", "p": "q + 8", "l": "p + 15", "n": "l + 2", "o": "n + 13", "z": "o + 14", "w": 17}, "premises": {"w": 17}, "target": "h"}, "answer": {"steps": [["u", "j + 5", "j + 10"], ["j", "r + 14", "r + 24"], ["r", "t + 1", "t + 25"], ["t", "m + 3", "m + 28"], ["m", "w + 10", "w + 38"], ["w", 17, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"w": 17}, "is_reverse": true}}
| 3,443
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 1; m = w + 10; h = u + 5; t = m + 3; o = n + 13; p = q + 8; z = o + 14; w = 17; j = r + 14; u = j + 5; q = w + 7; l = p + 15; n = l + 2. Given that w = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 5 to h, which gives h = j + 10.\n2. Substitute j = r + 14 to h, which gives h = r + 24.\n3. Substitute r = t + 1 to h, which gives h = t + 25.\n4. Substitute t = m + 3 to h, which gives h = m + 28.\n5. Substitute m = w + 10 to h, which gives h = w + 38.\n6. Substitute w = 17 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 3443,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 1; m = w + 10; h = u + 5; t = m + 3; o = n + 13; p = q + 8; z = o + 14; w = 17; j = r + 14; u = j + 5; q = w + 7; l = p + 15; n = l + 2. Given that w = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 18", "x": "o + 9", "b": "x + 15", "w": "b + 13", "k": "w + 11", "r": "k + 1", "e": "p + 16", "c": "e + 8", "y": "c + 10", "m": "y + 6", "i": "m + 18", "u": "i + 1", "p": 20}, "premises": {"p": 20}, "target": "r"}, "answer": {"steps": [["k", "w + 11", "w + 12"], ["w", "b + 13", "b + 25"], ["b", "x + 15", "x + 40"], ["x", "o + 9", "o + 49"], ["o", "p + 18", "p + 67"], ["p", 20, "87"]], "target_var_name": "r", "target_value": 87, "value_dict": {"p": 20}, "is_reverse": true}}
| 3,444
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = e + 8; x = o + 9; b = x + 15; o = p + 18; k = w + 11; u = i + 1; m = y + 6; y = c + 10; p = 20; i = m + 18; e = p + 16; w = b + 13; r = k + 1. Given that p = 20, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 11 to r, which gives r = w + 12.\n2. Substitute w = b + 13 to r, which gives r = b + 25.\n3. Substitute b = x + 15 to r, which gives r = x + 40.\n4. Substitute x = o + 9 to r, which gives r = o + 49.\n5. Substitute o = p + 18 to r, which gives r = p + 67.\n6. Substitute p = 20 to r, which gives r = 87.\n\nThus, the final answer is r = \\boxed{87}.",
"index": 3444,
"question": "Suppose a collection of variables is related by the following definitions: c = e + 8; x = o + 9; b = x + 15; o = p + 18; k = w + 11; u = i + 1; m = y + 6; y = c + 10; p = 20; i = m + 18; e = p + 16; w = b + 13; r = k + 1. Given that p = 20, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 11", "z": "d + 16", "x": "z + 16", "j": "x + 2", "y": "j + 14", "b": "y + 14", "k": "h + 1", "n": "k + 10", "c": "n + 9", "w": "c + 7", "f": "w + 2", "u": "f + 20", "h": 17}, "premises": {"h": 17}, "target": "b"}, "answer": {"steps": [["y", "j + 14", "j + 28"], ["j", "x + 2", "x + 30"], ["x", "z + 16", "z + 46"], ["z", "d + 16", "d + 62"], ["d", "h + 11", "h + 73"], ["h", 17, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"h": 17}, "is_reverse": true}}
| 3,445
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = h + 11; f = w + 2; w = c + 7; h = 17; n = k + 10; u = f + 20; z = d + 16; x = z + 16; y = j + 14; b = y + 14; k = h + 1; c = n + 9; j = x + 2. Given that h = 17, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 14 to b, which gives b = j + 28.\n2. Substitute j = x + 2 to b, which gives b = x + 30.\n3. Substitute x = z + 16 to b, which gives b = z + 46.\n4. Substitute z = d + 16 to b, which gives b = d + 62.\n5. Substitute d = h + 11 to b, which gives b = h + 73.\n6. Substitute h = 17 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 3445,
"question": "Suppose a collection of variables is related by the following definitions: d = h + 11; f = w + 2; w = c + 7; h = 17; n = k + 10; u = f + 20; z = d + 16; x = z + 16; y = j + 14; b = y + 14; k = h + 1; c = n + 9; j = x + 2. Given that h = 17, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 10", "q": "z + 16", "y": "q + 17", "h": "y + 3", "e": "h + 19", "o": "e + 16", "r": "g + 20", "u": "r + 7", "j": "u + 8", "i": "j + 19", "w": "i + 20", "d": "w + 14", "g": 18}, "premises": {"g": 18}, "target": "o"}, "answer": {"steps": [["e", "h + 19", "h + 35"], ["h", "y + 3", "y + 38"], ["y", "q + 17", "q + 55"], ["q", "z + 16", "z + 71"], ["z", "g + 10", "g + 81"], ["g", 18, "99"]], "target_var_name": "o", "target_value": 99, "value_dict": {"g": 18}, "is_reverse": true}}
| 3,446
| 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 = 18; r = g + 20; i = j + 19; z = g + 10; u = r + 7; j = u + 8; h = y + 3; o = e + 16; y = q + 17; q = z + 16; w = i + 20; e = h + 19; d = w + 14. If g = 18, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 19 to o, which gives o = h + 35.\n2. Substitute h = y + 3 to o, which gives o = y + 38.\n3. Substitute y = q + 17 to o, which gives o = q + 55.\n4. Substitute q = z + 16 to o, which gives o = z + 71.\n5. Substitute z = g + 10 to o, which gives o = g + 81.\n6. Substitute g = 18 to o, which gives o = 99.\n\nThus, the final answer is o = \\boxed{99}.",
"index": 3446,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 18; r = g + 20; i = j + 19; z = g + 10; u = r + 7; j = u + 8; h = y + 3; o = e + 16; y = q + 17; q = z + 16; w = i + 20; e = h + 19; d = w + 14. If g = 18, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 4", "r": "u + 19", "g": "r + 15", "f": "g + 10", "j": "f + 11", "q": "j + 13", "c": "o + 17", "z": "c + 9", "y": "z + 18", "t": "y + 16", "d": "t + 13", "p": "d + 9", "o": 15}, "premises": {"o": 15}, "target": "q"}, "answer": {"steps": [["j", "f + 11", "f + 24"], ["f", "g + 10", "g + 34"], ["g", "r + 15", "r + 49"], ["r", "u + 19", "u + 68"], ["u", "o + 4", "o + 72"], ["o", 15, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"o": 15}, "is_reverse": true}}
| 3,447
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = r + 15; p = d + 9; u = o + 4; c = o + 17; o = 15; y = z + 18; r = u + 19; d = t + 13; q = j + 13; t = y + 16; z = c + 9; j = f + 11; f = g + 10. Given that o = 15, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 11 to q, which gives q = f + 24.\n2. Substitute f = g + 10 to q, which gives q = g + 34.\n3. Substitute g = r + 15 to q, which gives q = r + 49.\n4. Substitute r = u + 19 to q, which gives q = u + 68.\n5. Substitute u = o + 4 to q, which gives q = o + 72.\n6. Substitute o = 15 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 3447,
"question": "Suppose a collection of variables is related by the following definitions: g = r + 15; p = d + 9; u = o + 4; c = o + 17; o = 15; y = z + 18; r = u + 19; d = t + 13; q = j + 13; t = y + 16; z = c + 9; j = f + 11; f = g + 10. Given that o = 15, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 15", "h": "o + 17", "y": "h + 13", "x": "y + 10", "t": "x + 13", "u": "t + 8", "z": "n + 5", "s": "z + 3", "i": "s + 16", "l": "i + 19", "d": "l + 19", "k": "d + 20", "n": 4}, "premises": {"n": 4}, "target": "u"}, "answer": {"steps": [["t", "x + 13", "x + 21"], ["x", "y + 10", "y + 31"], ["y", "h + 13", "h + 44"], ["h", "o + 17", "o + 61"], ["o", "n + 15", "n + 76"], ["n", 4, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"n": 4}, "is_reverse": true}}
| 3,448
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = n + 15; d = l + 19; u = t + 8; n = 4; l = i + 19; i = s + 16; x = y + 10; h = o + 17; s = z + 3; y = h + 13; t = x + 13; k = d + 20; z = n + 5. Given that n = 4, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 13 to u, which gives u = x + 21.\n2. Substitute x = y + 10 to u, which gives u = y + 31.\n3. Substitute y = h + 13 to u, which gives u = h + 44.\n4. Substitute h = o + 17 to u, which gives u = o + 61.\n5. Substitute o = n + 15 to u, which gives u = n + 76.\n6. Substitute n = 4 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 3448,
"question": "Suppose a collection of variables is related by the following definitions: o = n + 15; d = l + 19; u = t + 8; n = 4; l = i + 19; i = s + 16; x = y + 10; h = o + 17; s = z + 3; y = h + 13; t = x + 13; k = d + 20; z = n + 5. Given that n = 4, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 6", "f": "x + 19", "g": "f + 16", "r": "g + 16", "c": "r + 10", "u": "c + 5", "y": "z + 15", "n": "y + 14", "j": "n + 19", "h": "j + 7", "v": "h + 12", "b": "v + 3", "z": 17}, "premises": {"z": 17}, "target": "u"}, "answer": {"steps": [["c", "r + 10", "r + 15"], ["r", "g + 16", "g + 31"], ["g", "f + 16", "f + 47"], ["f", "x + 19", "x + 66"], ["x", "z + 6", "z + 72"], ["z", 17, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"z": 17}, "is_reverse": true}}
| 3,449
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 3; g = f + 16; x = z + 6; n = y + 14; v = h + 12; f = x + 19; h = j + 7; r = g + 16; j = n + 19; u = c + 5; c = r + 10; z = 17; y = z + 15. Given that z = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 10 to u, which gives u = r + 15.\n2. Substitute r = g + 16 to u, which gives u = g + 31.\n3. Substitute g = f + 16 to u, which gives u = f + 47.\n4. Substitute f = x + 19 to u, which gives u = x + 66.\n5. Substitute x = z + 6 to u, which gives u = z + 72.\n6. Substitute z = 17 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 3449,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 3; g = f + 16; x = z + 6; n = y + 14; v = h + 12; f = x + 19; h = j + 7; r = g + 16; j = n + 19; u = c + 5; c = r + 10; z = 17; y = z + 15. Given that z = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 1", "n": "p + 5", "b": "n + 18", "w": "b + 13", "a": "w + 7", "z": "a + 4", "s": "x + 6", "g": "s + 8", "f": "g + 7", "c": "f + 18", "l": "c + 15", "h": "l + 1", "x": 6}, "premises": {"x": 6}, "target": "z"}, "answer": {"steps": [["a", "w + 7", "w + 11"], ["w", "b + 13", "b + 24"], ["b", "n + 18", "n + 42"], ["n", "p + 5", "p + 47"], ["p", "x + 1", "x + 48"], ["x", 6, "54"]], "target_var_name": "z", "target_value": 54, "value_dict": {"x": 6}, "is_reverse": true}}
| 3,450
| 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 = s + 8; s = x + 6; c = f + 18; z = a + 4; w = b + 13; f = g + 7; l = c + 15; b = n + 18; a = w + 7; h = l + 1; x = 6; p = x + 1; n = p + 5. If x = 6, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 7 to z, which gives z = w + 11.\n2. Substitute w = b + 13 to z, which gives z = b + 24.\n3. Substitute b = n + 18 to z, which gives z = n + 42.\n4. Substitute n = p + 5 to z, which gives z = p + 47.\n5. Substitute p = x + 1 to z, which gives z = x + 48.\n6. Substitute x = 6 to z, which gives z = 54.\n\nThus, the final answer is z = \\boxed{54}.",
"index": 3450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 8; s = x + 6; c = f + 18; z = a + 4; w = b + 13; f = g + 7; l = c + 15; b = n + 18; a = w + 7; h = l + 1; x = 6; p = x + 1; n = p + 5. If x = 6, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 2", "f": "i + 10", "y": "f + 18", "m": "y + 7", "a": "m + 13", "d": "a + 15", "j": "g + 9", "z": "j + 20", "c": "z + 10", "n": "c + 10", "r": "n + 3", "l": "r + 8", "g": 6}, "premises": {"g": 6}, "target": "d"}, "answer": {"steps": [["a", "m + 13", "m + 28"], ["m", "y + 7", "y + 35"], ["y", "f + 18", "f + 53"], ["f", "i + 10", "i + 63"], ["i", "g + 2", "g + 65"], ["g", 6, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"g": 6}, "is_reverse": true}}
| 3,451
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 20; g = 6; i = g + 2; c = z + 10; d = a + 15; a = m + 13; l = r + 8; m = y + 7; y = f + 18; j = g + 9; r = n + 3; f = i + 10; n = c + 10. If g = 6, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = m + 13 to d, which gives d = m + 28.\n2. Substitute m = y + 7 to d, which gives d = y + 35.\n3. Substitute y = f + 18 to d, which gives d = f + 53.\n4. Substitute f = i + 10 to d, which gives d = i + 63.\n5. Substitute i = g + 2 to d, which gives d = g + 65.\n6. Substitute g = 6 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 3451,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 20; g = 6; i = g + 2; c = z + 10; d = a + 15; a = m + 13; l = r + 8; m = y + 7; y = f + 18; j = g + 9; r = n + 3; f = i + 10; n = c + 10. If g = 6, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 16", "l": "d + 14", "y": "l + 5", "z": "y + 4", "b": "z + 13", "h": "b + 13", "g": "m + 5", "p": "g + 15", "e": "p + 20", "n": "e + 1", "j": "n + 16", "o": "j + 16", "m": 1}, "premises": {"m": 1}, "target": "h"}, "answer": {"steps": [["b", "z + 13", "z + 26"], ["z", "y + 4", "y + 30"], ["y", "l + 5", "l + 35"], ["l", "d + 14", "d + 49"], ["d", "m + 16", "m + 65"], ["m", 1, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"m": 1}, "is_reverse": true}}
| 3,452
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 4; m = 1; p = g + 15; l = d + 14; n = e + 1; d = m + 16; o = j + 16; b = z + 13; h = b + 13; y = l + 5; g = m + 5; e = p + 20; j = n + 16. If m = 1, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 13 to h, which gives h = z + 26.\n2. Substitute z = y + 4 to h, which gives h = y + 30.\n3. Substitute y = l + 5 to h, which gives h = l + 35.\n4. Substitute l = d + 14 to h, which gives h = d + 49.\n5. Substitute d = m + 16 to h, which gives h = m + 65.\n6. Substitute m = 1 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 3452,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 4; m = 1; p = g + 15; l = d + 14; n = e + 1; d = m + 16; o = j + 16; b = z + 13; h = b + 13; y = l + 5; g = m + 5; e = p + 20; j = n + 16. If m = 1, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "l + 10", "c": "k + 8", "x": "c + 3", "s": "x + 5", "e": "s + 9", "o": "e + 6", "a": "l + 15", "p": "a + 20", "g": "p + 14", "t": "g + 18", "h": "t + 16", "u": "h + 9", "l": 19}, "premises": {"l": 19}, "target": "o"}, "answer": {"steps": [["e", "s + 9", "s + 15"], ["s", "x + 5", "x + 20"], ["x", "c + 3", "c + 23"], ["c", "k + 8", "k + 31"], ["k", "l + 10", "l + 41"], ["l", 19, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"l": 19}, "is_reverse": true}}
| 3,453
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 9; l = 19; c = k + 8; s = x + 5; h = t + 16; k = l + 10; g = p + 14; o = e + 6; x = c + 3; t = g + 18; u = h + 9; p = a + 20; a = l + 15. If l = 19, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 9 to o, which gives o = s + 15.\n2. Substitute s = x + 5 to o, which gives o = x + 20.\n3. Substitute x = c + 3 to o, which gives o = c + 23.\n4. Substitute c = k + 8 to o, which gives o = k + 31.\n5. Substitute k = l + 10 to o, which gives o = l + 41.\n6. Substitute l = 19 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 3453,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 9; l = 19; c = k + 8; s = x + 5; h = t + 16; k = l + 10; g = p + 14; o = e + 6; x = c + 3; t = g + 18; u = h + 9; p = a + 20; a = l + 15. If l = 19, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 13", "m": "d + 18", "s": "m + 20", "i": "s + 7", "r": "i + 8", "n": "r + 14", "p": "c + 4", "j": "p + 16", "v": "j + 20", "u": "v + 11", "k": "u + 4", "f": "k + 8", "c": 1}, "premises": {"c": 1}, "target": "n"}, "answer": {"steps": [["r", "i + 8", "i + 22"], ["i", "s + 7", "s + 29"], ["s", "m + 20", "m + 49"], ["m", "d + 18", "d + 67"], ["d", "c + 13", "c + 80"], ["c", 1, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"c": 1}, "is_reverse": true}}
| 3,454
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 16; p = c + 4; u = v + 11; s = m + 20; i = s + 7; f = k + 8; k = u + 4; c = 1; d = c + 13; r = i + 8; m = d + 18; n = r + 14; v = j + 20. Given that c = 1, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 8 to n, which gives n = i + 22.\n2. Substitute i = s + 7 to n, which gives n = s + 29.\n3. Substitute s = m + 20 to n, which gives n = m + 49.\n4. Substitute m = d + 18 to n, which gives n = d + 67.\n5. Substitute d = c + 13 to n, which gives n = c + 80.\n6. Substitute c = 1 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 3454,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 16; p = c + 4; u = v + 11; s = m + 20; i = s + 7; f = k + 8; k = u + 4; c = 1; d = c + 13; r = i + 8; m = d + 18; n = r + 14; v = j + 20. Given that c = 1, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 19", "u": "k + 1", "x": "u + 16", "g": "x + 11", "c": "g + 13", "d": "c + 20", "e": "i + 18", "r": "e + 17", "q": "r + 7", "a": "q + 5", "v": "a + 10", "l": "v + 3", "i": 5}, "premises": {"i": 5}, "target": "d"}, "answer": {"steps": [["c", "g + 13", "g + 33"], ["g", "x + 11", "x + 44"], ["x", "u + 16", "u + 60"], ["u", "k + 1", "k + 61"], ["k", "i + 19", "i + 80"], ["i", 5, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"i": 5}, "is_reverse": true}}
| 3,455
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 13; u = k + 1; x = u + 16; i = 5; q = r + 7; a = q + 5; e = i + 18; k = i + 19; v = a + 10; r = e + 17; l = v + 3; d = c + 20; g = x + 11. Given that i = 5, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 13 to d, which gives d = g + 33.\n2. Substitute g = x + 11 to d, which gives d = x + 44.\n3. Substitute x = u + 16 to d, which gives d = u + 60.\n4. Substitute u = k + 1 to d, which gives d = k + 61.\n5. Substitute k = i + 19 to d, which gives d = i + 80.\n6. Substitute i = 5 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 3455,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 13; u = k + 1; x = u + 16; i = 5; q = r + 7; a = q + 5; e = i + 18; k = i + 19; v = a + 10; r = e + 17; l = v + 3; d = c + 20; g = x + 11. Given that i = 5, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 9", "x": "g + 20", "h": "x + 8", "q": "h + 12", "o": "q + 9", "u": "o + 19", "f": "d + 8", "s": "f + 9", "e": "s + 2", "t": "e + 13", "y": "t + 6", "i": "y + 8", "d": 5}, "premises": {"d": 5}, "target": "u"}, "answer": {"steps": [["o", "q + 9", "q + 28"], ["q", "h + 12", "h + 40"], ["h", "x + 8", "x + 48"], ["x", "g + 20", "g + 68"], ["g", "d + 9", "d + 77"], ["d", 5, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"d": 5}, "is_reverse": true}}
| 3,456
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 5; g = d + 9; f = d + 8; q = h + 12; t = e + 13; e = s + 2; y = t + 6; o = q + 9; u = o + 19; h = x + 8; i = y + 8; x = g + 20; s = f + 9. Given that d = 5, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 9 to u, which gives u = q + 28.\n2. Substitute q = h + 12 to u, which gives u = h + 40.\n3. Substitute h = x + 8 to u, which gives u = x + 48.\n4. Substitute x = g + 20 to u, which gives u = g + 68.\n5. Substitute g = d + 9 to u, which gives u = d + 77.\n6. Substitute d = 5 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 3456,
"question": "Suppose a collection of variables is related by the following definitions: d = 5; g = d + 9; f = d + 8; q = h + 12; t = e + 13; e = s + 2; y = t + 6; o = q + 9; u = o + 19; h = x + 8; i = y + 8; x = g + 20; s = f + 9. Given that d = 5, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 8", "e": "w + 12", "f": "e + 19", "o": "f + 18", "k": "o + 19", "l": "k + 10", "p": "z + 9", "b": "p + 19", "m": "b + 20", "t": "m + 7", "i": "t + 5", "u": "i + 12", "z": 3}, "premises": {"z": 3}, "target": "l"}, "answer": {"steps": [["k", "o + 19", "o + 29"], ["o", "f + 18", "f + 47"], ["f", "e + 19", "e + 66"], ["e", "w + 12", "w + 78"], ["w", "z + 8", "z + 86"], ["z", 3, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"z": 3}, "is_reverse": true}}
| 3,457
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 18; u = i + 12; m = b + 20; p = z + 9; l = k + 10; t = m + 7; z = 3; w = z + 8; k = o + 19; e = w + 12; b = p + 19; i = t + 5; f = e + 19. If z = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = o + 19 to l, which gives l = o + 29.\n2. Substitute o = f + 18 to l, which gives l = f + 47.\n3. Substitute f = e + 19 to l, which gives l = e + 66.\n4. Substitute e = w + 12 to l, which gives l = w + 78.\n5. Substitute w = z + 8 to l, which gives l = z + 86.\n6. Substitute z = 3 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 3457,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 18; u = i + 12; m = b + 20; p = z + 9; l = k + 10; t = m + 7; z = 3; w = z + 8; k = o + 19; e = w + 12; b = p + 19; i = t + 5; f = e + 19. If z = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 2", "j": "w + 14", "t": "j + 8", "l": "t + 9", "f": "l + 7", "v": "f + 2", "s": "z + 9", "q": "s + 9", "o": "q + 7", "y": "o + 4", "x": "y + 3", "d": "x + 7", "z": 10}, "premises": {"z": 10}, "target": "v"}, "answer": {"steps": [["f", "l + 7", "l + 9"], ["l", "t + 9", "t + 18"], ["t", "j + 8", "j + 26"], ["j", "w + 14", "w + 40"], ["w", "z + 2", "z + 42"], ["z", 10, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"z": 10}, "is_reverse": true}}
| 3,458
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = w + 14; f = l + 7; q = s + 9; o = q + 7; x = y + 3; s = z + 9; y = o + 4; w = z + 2; d = x + 7; l = t + 9; t = j + 8; v = f + 2; z = 10. If z = 10, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 7 to v, which gives v = l + 9.\n2. Substitute l = t + 9 to v, which gives v = t + 18.\n3. Substitute t = j + 8 to v, which gives v = j + 26.\n4. Substitute j = w + 14 to v, which gives v = w + 40.\n5. Substitute w = z + 2 to v, which gives v = z + 42.\n6. Substitute z = 10 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 3458,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 14; f = l + 7; q = s + 9; o = q + 7; x = y + 3; s = z + 9; y = o + 4; w = z + 2; d = x + 7; l = t + 9; t = j + 8; v = f + 2; z = 10. If z = 10, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"t": "u + 4", "o": "t + 8", "s": "o + 4", "h": "s + 15", "g": "h + 4", "b": "g + 2", "p": "u + 17", "l": "p + 3", "w": "l + 5", "k": "w + 15", "q": "k + 7", "i": "q + 14", "u": 19}, "premises": {"u": 19}, "target": "b"}, "answer": {"steps": [["g", "h + 4", "h + 6"], ["h", "s + 15", "s + 21"], ["s", "o + 4", "o + 25"], ["o", "t + 8", "t + 33"], ["t", "u + 4", "u + 37"], ["u", 19, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"u": 19}, "is_reverse": true}}
| 3,459
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = k + 7; u = 19; l = p + 3; p = u + 17; g = h + 4; o = t + 8; t = u + 4; b = g + 2; k = w + 15; h = s + 15; i = q + 14; s = o + 4; w = l + 5. If u = 19, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 4 to b, which gives b = h + 6.\n2. Substitute h = s + 15 to b, which gives b = s + 21.\n3. Substitute s = o + 4 to b, which gives b = o + 25.\n4. Substitute o = t + 8 to b, which gives b = t + 33.\n5. Substitute t = u + 4 to b, which gives b = u + 37.\n6. Substitute u = 19 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 3459,
"question": "Consider a system of variables where each variable is defined as follows: q = k + 7; u = 19; l = p + 3; p = u + 17; g = h + 4; o = t + 8; t = u + 4; b = g + 2; k = w + 15; h = s + 15; i = q + 14; s = o + 4; w = l + 5. If u = 19, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 8", "r": "k + 4", "i": "r + 3", "g": "i + 15", "e": "g + 15", "z": "e + 1", "y": "j + 7", "t": "y + 10", "o": "t + 5", "c": "o + 2", "p": "c + 15", "v": "p + 6", "j": 6}, "premises": {"j": 6}, "target": "z"}, "answer": {"steps": [["e", "g + 15", "g + 16"], ["g", "i + 15", "i + 31"], ["i", "r + 3", "r + 34"], ["r", "k + 4", "k + 38"], ["k", "j + 8", "j + 46"], ["j", 6, "52"]], "target_var_name": "z", "target_value": 52, "value_dict": {"j": 6}, "is_reverse": true}}
| 3,460
| 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 + 4; e = g + 15; i = r + 3; z = e + 1; c = o + 2; g = i + 15; j = 6; t = y + 10; v = p + 6; k = j + 8; o = t + 5; y = j + 7; p = c + 15. If j = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 15 to z, which gives z = g + 16.\n2. Substitute g = i + 15 to z, which gives z = i + 31.\n3. Substitute i = r + 3 to z, which gives z = r + 34.\n4. Substitute r = k + 4 to z, which gives z = k + 38.\n5. Substitute k = j + 8 to z, which gives z = j + 46.\n6. Substitute j = 6 to z, which gives z = 52.\n\nThus, the final answer is z = \\boxed{52}.",
"index": 3460,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 4; e = g + 15; i = r + 3; z = e + 1; c = o + 2; g = i + 15; j = 6; t = y + 10; v = p + 6; k = j + 8; o = t + 5; y = j + 7; p = c + 15. If j = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 19", "c": "a + 17", "v": "c + 14", "w": "v + 16", "i": "w + 2", "u": "i + 3", "e": "p + 14", "r": "e + 14", "x": "r + 18", "f": "x + 7", "h": "f + 2", "d": "h + 3", "p": 10}, "premises": {"p": 10}, "target": "u"}, "answer": {"steps": [["i", "w + 2", "w + 5"], ["w", "v + 16", "v + 21"], ["v", "c + 14", "c + 35"], ["c", "a + 17", "a + 52"], ["a", "p + 19", "p + 71"], ["p", 10, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"p": 10}, "is_reverse": true}}
| 3,461
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 3; x = r + 18; v = c + 14; r = e + 14; e = p + 14; p = 10; h = f + 2; f = x + 7; u = i + 3; i = w + 2; a = p + 19; w = v + 16; c = a + 17. If p = 10, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 2 to u, which gives u = w + 5.\n2. Substitute w = v + 16 to u, which gives u = v + 21.\n3. Substitute v = c + 14 to u, which gives u = c + 35.\n4. Substitute c = a + 17 to u, which gives u = a + 52.\n5. Substitute a = p + 19 to u, which gives u = p + 71.\n6. Substitute p = 10 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 3461,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 3; x = r + 18; v = c + 14; r = e + 14; e = p + 14; p = 10; h = f + 2; f = x + 7; u = i + 3; i = w + 2; a = p + 19; w = v + 16; c = a + 17. If p = 10, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 2", "s": "p + 17", "j": "s + 9", "b": "j + 3", "e": "b + 15", "m": "e + 19", "a": "k + 7", "d": "a + 17", "z": "d + 3", "c": "z + 1", "v": "c + 11", "q": "v + 11", "k": 2}, "premises": {"k": 2}, "target": "m"}, "answer": {"steps": [["e", "b + 15", "b + 34"], ["b", "j + 3", "j + 37"], ["j", "s + 9", "s + 46"], ["s", "p + 17", "p + 63"], ["p", "k + 2", "k + 65"], ["k", 2, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"k": 2}, "is_reverse": true}}
| 3,462
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 7; j = s + 9; m = e + 19; c = z + 1; k = 2; v = c + 11; d = a + 17; z = d + 3; b = j + 3; p = k + 2; q = v + 11; s = p + 17; e = b + 15. Given that k = 2, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 15 to m, which gives m = b + 34.\n2. Substitute b = j + 3 to m, which gives m = j + 37.\n3. Substitute j = s + 9 to m, which gives m = s + 46.\n4. Substitute s = p + 17 to m, which gives m = p + 63.\n5. Substitute p = k + 2 to m, which gives m = k + 65.\n6. Substitute k = 2 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 3462,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 7; j = s + 9; m = e + 19; c = z + 1; k = 2; v = c + 11; d = a + 17; z = d + 3; b = j + 3; p = k + 2; q = v + 11; s = p + 17; e = b + 15. Given that k = 2, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "e + 10", "y": "o + 19", "p": "y + 6", "b": "p + 16", "w": "b + 4", "x": "w + 18", "u": "e + 1", "i": "u + 3", "l": "i + 11", "r": "l + 3", "q": "r + 6", "v": "q + 11", "e": 14}, "premises": {"e": 14}, "target": "x"}, "answer": {"steps": [["w", "b + 4", "b + 22"], ["b", "p + 16", "p + 38"], ["p", "y + 6", "y + 44"], ["y", "o + 19", "o + 63"], ["o", "e + 10", "e + 73"], ["e", 14, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"e": 14}, "is_reverse": true}}
| 3,463
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 3; v = q + 11; o = e + 10; u = e + 1; i = u + 3; w = b + 4; y = o + 19; e = 14; q = r + 6; p = y + 6; l = i + 11; b = p + 16; x = w + 18. If e = 14, determine the 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 w = b + 4 to x, which gives x = b + 22.\n2. Substitute b = p + 16 to x, which gives x = p + 38.\n3. Substitute p = y + 6 to x, which gives x = y + 44.\n4. Substitute y = o + 19 to x, which gives x = o + 63.\n5. Substitute o = e + 10 to x, which gives x = e + 73.\n6. Substitute e = 14 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 3463,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 3; v = q + 11; o = e + 10; u = e + 1; i = u + 3; w = b + 4; y = o + 19; e = 14; q = r + 6; p = y + 6; l = i + 11; b = p + 16; x = w + 18. If e = 14, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 15", "g": "w + 20", "j": "g + 7", "i": "j + 19", "t": "i + 9", "x": "t + 5", "s": "z + 2", "q": "s + 3", "o": "q + 2", "u": "o + 19", "a": "u + 11", "y": "a + 19", "z": 12}, "premises": {"z": 12}, "target": "x"}, "answer": {"steps": [["t", "i + 9", "i + 14"], ["i", "j + 19", "j + 33"], ["j", "g + 7", "g + 40"], ["g", "w + 20", "w + 60"], ["w", "z + 15", "z + 75"], ["z", 12, "87"]], "target_var_name": "x", "target_value": 87, "value_dict": {"z": 12}, "is_reverse": true}}
| 3,464
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 12; q = s + 3; j = g + 7; o = q + 2; a = u + 11; u = o + 19; x = t + 5; t = i + 9; w = z + 15; i = j + 19; s = z + 2; g = w + 20; y = a + 19. If z = 12, determine the 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 t = i + 9 to x, which gives x = i + 14.\n2. Substitute i = j + 19 to x, which gives x = j + 33.\n3. Substitute j = g + 7 to x, which gives x = g + 40.\n4. Substitute g = w + 20 to x, which gives x = w + 60.\n5. Substitute w = z + 15 to x, which gives x = z + 75.\n6. Substitute z = 12 to x, which gives x = 87.\n\nThus, the final answer is x = \\boxed{87}.",
"index": 3464,
"question": "Consider a system of variables where each variable is defined as follows: z = 12; q = s + 3; j = g + 7; o = q + 2; a = u + 11; u = o + 19; x = t + 5; t = i + 9; w = z + 15; i = j + 19; s = z + 2; g = w + 20; y = a + 19. If z = 12, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 8", "k": "u + 9", "o": "k + 2", "f": "o + 9", "b": "f + 8", "w": "b + 19", "g": "m + 8", "s": "g + 7", "c": "s + 2", "v": "c + 16", "p": "v + 10", "a": "p + 4", "m": 12}, "premises": {"m": 12}, "target": "w"}, "answer": {"steps": [["b", "f + 8", "f + 27"], ["f", "o + 9", "o + 36"], ["o", "k + 2", "k + 38"], ["k", "u + 9", "u + 47"], ["u", "m + 8", "m + 55"], ["m", 12, "67"]], "target_var_name": "w", "target_value": 67, "value_dict": {"m": 12}, "is_reverse": true}}
| 3,465
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 10; c = s + 2; g = m + 8; s = g + 7; b = f + 8; u = m + 8; v = c + 16; f = o + 9; a = p + 4; w = b + 19; o = k + 2; k = u + 9; m = 12. If m = 12, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 8 to w, which gives w = f + 27.\n2. Substitute f = o + 9 to w, which gives w = o + 36.\n3. Substitute o = k + 2 to w, which gives w = k + 38.\n4. Substitute k = u + 9 to w, which gives w = u + 47.\n5. Substitute u = m + 8 to w, which gives w = m + 55.\n6. Substitute m = 12 to w, which gives w = 67.\n\nThus, the final answer is w = \\boxed{67}.",
"index": 3465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 10; c = s + 2; g = m + 8; s = g + 7; b = f + 8; u = m + 8; v = c + 16; f = o + 9; a = p + 4; w = b + 19; o = k + 2; k = u + 9; m = 12. If m = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 11", "j": "a + 3", "g": "j + 10", "l": "g + 11", "t": "l + 11", "c": "t + 6", "u": "o + 3", "w": "u + 5", "z": "w + 5", "r": "z + 20", "q": "r + 5", "b": "q + 5", "o": 16}, "premises": {"o": 16}, "target": "c"}, "answer": {"steps": [["t", "l + 11", "l + 17"], ["l", "g + 11", "g + 28"], ["g", "j + 10", "j + 38"], ["j", "a + 3", "a + 41"], ["a", "o + 11", "o + 52"], ["o", 16, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"o": 16}, "is_reverse": true}}
| 3,466
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 3; w = u + 5; j = a + 3; z = w + 5; a = o + 11; g = j + 10; l = g + 11; c = t + 6; o = 16; r = z + 20; t = l + 11; q = r + 5; b = q + 5. If o = 16, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 11 to c, which gives c = l + 17.\n2. Substitute l = g + 11 to c, which gives c = g + 28.\n3. Substitute g = j + 10 to c, which gives c = j + 38.\n4. Substitute j = a + 3 to c, which gives c = a + 41.\n5. Substitute a = o + 11 to c, which gives c = o + 52.\n6. Substitute o = 16 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 3466,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 3; w = u + 5; j = a + 3; z = w + 5; a = o + 11; g = j + 10; l = g + 11; c = t + 6; o = 16; r = z + 20; t = l + 11; q = r + 5; b = q + 5. If o = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"i": "r + 12", "e": "i + 10", "d": "e + 18", "o": "d + 2", "m": "o + 14", "v": "m + 8", "l": "r + 4", "x": "l + 2", "b": "x + 16", "z": "b + 13", "s": "z + 11", "y": "s + 5", "r": 18}, "premises": {"r": 18}, "target": "v"}, "answer": {"steps": [["m", "o + 14", "o + 22"], ["o", "d + 2", "d + 24"], ["d", "e + 18", "e + 42"], ["e", "i + 10", "i + 52"], ["i", "r + 12", "r + 64"], ["r", 18, "82"]], "target_var_name": "v", "target_value": 82, "value_dict": {"r": 18}, "is_reverse": true}}
| 3,467
| 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 = s + 5; z = b + 13; s = z + 11; x = l + 2; v = m + 8; r = 18; m = o + 14; o = d + 2; e = i + 10; i = r + 12; d = e + 18; l = r + 4; b = x + 16. If r = 18, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 14 to v, which gives v = o + 22.\n2. Substitute o = d + 2 to v, which gives v = d + 24.\n3. Substitute d = e + 18 to v, which gives v = e + 42.\n4. Substitute e = i + 10 to v, which gives v = i + 52.\n5. Substitute i = r + 12 to v, which gives v = r + 64.\n6. Substitute r = 18 to v, which gives v = 82.\n\nThus, the final answer is v = \\boxed{82}.",
"index": 3467,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 5; z = b + 13; s = z + 11; x = l + 2; v = m + 8; r = 18; m = o + 14; o = d + 2; e = i + 10; i = r + 12; d = e + 18; l = r + 4; b = x + 16. If r = 18, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 17", "b": "h + 6", "k": "b + 15", "c": "k + 9", "l": "c + 15", "g": "l + 8", "w": "q + 9", "j": "w + 15", "u": "j + 14", "n": "u + 4", "i": "n + 5", "a": "i + 2", "q": 3}, "premises": {"q": 3}, "target": "g"}, "answer": {"steps": [["l", "c + 15", "c + 23"], ["c", "k + 9", "k + 32"], ["k", "b + 15", "b + 47"], ["b", "h + 6", "h + 53"], ["h", "q + 17", "q + 70"], ["q", 3, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"q": 3}, "is_reverse": true}}
| 3,468
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = b + 15; n = u + 4; a = i + 2; c = k + 9; b = h + 6; q = 3; l = c + 15; u = j + 14; j = w + 15; i = n + 5; w = q + 9; g = l + 8; h = q + 17. If q = 3, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 15 to g, which gives g = c + 23.\n2. Substitute c = k + 9 to g, which gives g = k + 32.\n3. Substitute k = b + 15 to g, which gives g = b + 47.\n4. Substitute b = h + 6 to g, which gives g = h + 53.\n5. Substitute h = q + 17 to g, which gives g = q + 70.\n6. Substitute q = 3 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 3468,
"question": "Consider a system of variables where each variable is defined as follows: k = b + 15; n = u + 4; a = i + 2; c = k + 9; b = h + 6; q = 3; l = c + 15; u = j + 14; j = w + 15; i = n + 5; w = q + 9; g = l + 8; h = q + 17. If q = 3, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 14", "s": "v + 9", "k": "s + 6", "x": "k + 2", "c": "x + 18", "w": "c + 3", "n": "f + 10", "r": "n + 8", "j": "r + 8", "u": "j + 13", "q": "u + 3", "p": "q + 8", "f": 16}, "premises": {"f": 16}, "target": "w"}, "answer": {"steps": [["c", "x + 18", "x + 21"], ["x", "k + 2", "k + 23"], ["k", "s + 6", "s + 29"], ["s", "v + 9", "v + 38"], ["v", "f + 14", "f + 52"], ["f", 16, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"f": 16}, "is_reverse": true}}
| 3,469
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = j + 13; k = s + 6; x = k + 2; q = u + 3; s = v + 9; n = f + 10; r = n + 8; p = q + 8; f = 16; w = c + 3; v = f + 14; j = r + 8; c = x + 18. Given that f = 16, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 18 to w, which gives w = x + 21.\n2. Substitute x = k + 2 to w, which gives w = k + 23.\n3. Substitute k = s + 6 to w, which gives w = s + 29.\n4. Substitute s = v + 9 to w, which gives w = v + 38.\n5. Substitute v = f + 14 to w, which gives w = f + 52.\n6. Substitute f = 16 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 3469,
"question": "Suppose a collection of variables is related by the following definitions: u = j + 13; k = s + 6; x = k + 2; q = u + 3; s = v + 9; n = f + 10; r = n + 8; p = q + 8; f = 16; w = c + 3; v = f + 14; j = r + 8; c = x + 18. Given that f = 16, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 16", "n": "e + 8", "b": "n + 18", "t": "b + 4", "s": "t + 7", "a": "s + 19", "d": "r + 17", "w": "d + 4", "l": "w + 7", "q": "l + 8", "z": "q + 15", "x": "z + 8", "r": 19}, "premises": {"r": 19}, "target": "a"}, "answer": {"steps": [["s", "t + 7", "t + 26"], ["t", "b + 4", "b + 30"], ["b", "n + 18", "n + 48"], ["n", "e + 8", "e + 56"], ["e", "r + 16", "r + 72"], ["r", 19, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"r": 19}, "is_reverse": true}}
| 3,470
| 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 = s + 19; t = b + 4; z = q + 15; r = 19; s = t + 7; b = n + 18; q = l + 8; e = r + 16; d = r + 17; n = e + 8; w = d + 4; x = z + 8; l = w + 7. If r = 19, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 7 to a, which gives a = t + 26.\n2. Substitute t = b + 4 to a, which gives a = b + 30.\n3. Substitute b = n + 18 to a, which gives a = n + 48.\n4. Substitute n = e + 8 to a, which gives a = e + 56.\n5. Substitute e = r + 16 to a, which gives a = r + 72.\n6. Substitute r = 19 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 3470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 19; t = b + 4; z = q + 15; r = 19; s = t + 7; b = n + 18; q = l + 8; e = r + 16; d = r + 17; n = e + 8; w = d + 4; x = z + 8; l = w + 7. If r = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 3", "d": "m + 8", "u": "d + 18", "x": "u + 1", "j": "x + 5", "k": "j + 19", "o": "w + 2", "h": "o + 9", "f": "h + 11", "r": "f + 11", "z": "r + 3", "s": "z + 9", "w": 6}, "premises": {"w": 6}, "target": "k"}, "answer": {"steps": [["j", "x + 5", "x + 24"], ["x", "u + 1", "u + 25"], ["u", "d + 18", "d + 43"], ["d", "m + 8", "m + 51"], ["m", "w + 3", "w + 54"], ["w", 6, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"w": 6}, "is_reverse": true}}
| 3,471
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 9; r = f + 11; s = z + 9; o = w + 2; u = d + 18; m = w + 3; j = x + 5; w = 6; z = r + 3; d = m + 8; k = j + 19; f = h + 11; x = u + 1. If w = 6, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 5 to k, which gives k = x + 24.\n2. Substitute x = u + 1 to k, which gives k = u + 25.\n3. Substitute u = d + 18 to k, which gives k = d + 43.\n4. Substitute d = m + 8 to k, which gives k = m + 51.\n5. Substitute m = w + 3 to k, which gives k = w + 54.\n6. Substitute w = 6 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 3471,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 9; r = f + 11; s = z + 9; o = w + 2; u = d + 18; m = w + 3; j = x + 5; w = 6; z = r + 3; d = m + 8; k = j + 19; f = h + 11; x = u + 1. If w = 6, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 11", "g": "l + 20", "m": "g + 17", "r": "m + 8", "d": "r + 1", "n": "d + 9", "v": "i + 5", "t": "v + 6", "o": "t + 7", "s": "o + 17", "h": "s + 13", "u": "h + 12", "i": 6}, "premises": {"i": 6}, "target": "n"}, "answer": {"steps": [["d", "r + 1", "r + 10"], ["r", "m + 8", "m + 18"], ["m", "g + 17", "g + 35"], ["g", "l + 20", "l + 55"], ["l", "i + 11", "i + 66"], ["i", 6, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"i": 6}, "is_reverse": true}}
| 3,472
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = d + 9; d = r + 1; l = i + 11; t = v + 6; s = o + 17; u = h + 12; o = t + 7; r = m + 8; g = l + 20; m = g + 17; v = i + 5; i = 6; h = s + 13. Given that i = 6, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 1 to n, which gives n = r + 10.\n2. Substitute r = m + 8 to n, which gives n = m + 18.\n3. Substitute m = g + 17 to n, which gives n = g + 35.\n4. Substitute g = l + 20 to n, which gives n = l + 55.\n5. Substitute l = i + 11 to n, which gives n = i + 66.\n6. Substitute i = 6 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 3472,
"question": "Suppose a collection of variables is related by the following definitions: n = d + 9; d = r + 1; l = i + 11; t = v + 6; s = o + 17; u = h + 12; o = t + 7; r = m + 8; g = l + 20; m = g + 17; v = i + 5; i = 6; h = s + 13. Given that i = 6, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 20", "q": "c + 12", "f": "q + 14", "n": "f + 11", "j": "n + 13", "y": "j + 5", "r": "p + 2", "v": "r + 10", "k": "v + 5", "s": "k + 10", "z": "s + 2", "h": "z + 16", "p": 7}, "premises": {"p": 7}, "target": "y"}, "answer": {"steps": [["j", "n + 13", "n + 18"], ["n", "f + 11", "f + 29"], ["f", "q + 14", "q + 43"], ["q", "c + 12", "c + 55"], ["c", "p + 20", "p + 75"], ["p", 7, "82"]], "target_var_name": "y", "target_value": 82, "value_dict": {"p": 7}, "is_reverse": true}}
| 3,473
| 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 = j + 5; c = p + 20; z = s + 2; j = n + 13; f = q + 14; h = z + 16; s = k + 10; v = r + 10; n = f + 11; r = p + 2; k = v + 5; p = 7; q = c + 12. If p = 7, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 13 to y, which gives y = n + 18.\n2. Substitute n = f + 11 to y, which gives y = f + 29.\n3. Substitute f = q + 14 to y, which gives y = q + 43.\n4. Substitute q = c + 12 to y, which gives y = c + 55.\n5. Substitute c = p + 20 to y, which gives y = p + 75.\n6. Substitute p = 7 to y, which gives y = 82.\n\nThus, the final answer is y = \\boxed{82}.",
"index": 3473,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 5; c = p + 20; z = s + 2; j = n + 13; f = q + 14; h = z + 16; s = k + 10; v = r + 10; n = f + 11; r = p + 2; k = v + 5; p = 7; q = c + 12. If p = 7, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 19", "v": "l + 19", "h": "v + 20", "j": "h + 13", "w": "j + 1", "e": "w + 7", "n": "a + 6", "p": "n + 17", "k": "p + 19", "o": "k + 6", "t": "o + 8", "x": "t + 13", "a": 19}, "premises": {"a": 19}, "target": "e"}, "answer": {"steps": [["w", "j + 1", "j + 8"], ["j", "h + 13", "h + 21"], ["h", "v + 20", "v + 41"], ["v", "l + 19", "l + 60"], ["l", "a + 19", "a + 79"], ["a", 19, "98"]], "target_var_name": "e", "target_value": 98, "value_dict": {"a": 19}, "is_reverse": true}}
| 3,474
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = v + 20; t = o + 8; x = t + 13; v = l + 19; n = a + 6; o = k + 6; l = a + 19; w = j + 1; k = p + 19; a = 19; p = n + 17; j = h + 13; e = w + 7. Given that a = 19, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 1 to e, which gives e = j + 8.\n2. Substitute j = h + 13 to e, which gives e = h + 21.\n3. Substitute h = v + 20 to e, which gives e = v + 41.\n4. Substitute v = l + 19 to e, which gives e = l + 60.\n5. Substitute l = a + 19 to e, which gives e = a + 79.\n6. Substitute a = 19 to e, which gives e = 98.\n\nThus, the final answer is e = \\boxed{98}.",
"index": 3474,
"question": "Suppose a collection of variables is related by the following definitions: h = v + 20; t = o + 8; x = t + 13; v = l + 19; n = a + 6; o = k + 6; l = a + 19; w = j + 1; k = p + 19; a = 19; p = n + 17; j = h + 13; e = w + 7. Given that a = 19, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 1", "w": "r + 10", "b": "w + 19", "a": "b + 20", "v": "a + 5", "t": "v + 19", "o": "k + 5", "s": "o + 15", "y": "s + 18", "u": "y + 2", "d": "u + 10", "f": "d + 16", "k": 6}, "premises": {"k": 6}, "target": "t"}, "answer": {"steps": [["v", "a + 5", "a + 24"], ["a", "b + 20", "b + 44"], ["b", "w + 19", "w + 63"], ["w", "r + 10", "r + 73"], ["r", "k + 1", "k + 74"], ["k", 6, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"k": 6}, "is_reverse": true}}
| 3,475
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = d + 16; a = b + 20; b = w + 19; w = r + 10; u = y + 2; d = u + 10; t = v + 19; k = 6; v = a + 5; o = k + 5; y = s + 18; r = k + 1; s = o + 15. If k = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 5 to t, which gives t = a + 24.\n2. Substitute a = b + 20 to t, which gives t = b + 44.\n3. Substitute b = w + 19 to t, which gives t = w + 63.\n4. Substitute w = r + 10 to t, which gives t = r + 73.\n5. Substitute r = k + 1 to t, which gives t = k + 74.\n6. Substitute k = 6 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 3475,
"question": "Consider a system of variables where each variable is defined as follows: f = d + 16; a = b + 20; b = w + 19; w = r + 10; u = y + 2; d = u + 10; t = v + 19; k = 6; v = a + 5; o = k + 5; y = s + 18; r = k + 1; s = o + 15. If k = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 14", "d": "k + 1", "m": "d + 18", "b": "m + 2", "o": "b + 5", "h": "o + 1", "p": "c + 2", "n": "p + 4", "y": "n + 11", "s": "y + 20", "z": "s + 5", "e": "z + 13", "c": 18}, "premises": {"c": 18}, "target": "h"}, "answer": {"steps": [["o", "b + 5", "b + 6"], ["b", "m + 2", "m + 8"], ["m", "d + 18", "d + 26"], ["d", "k + 1", "k + 27"], ["k", "c + 14", "c + 41"], ["c", 18, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"c": 18}, "is_reverse": true}}
| 3,476
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 18; z = s + 5; n = p + 4; m = d + 18; y = n + 11; b = m + 2; h = o + 1; p = c + 2; e = z + 13; k = c + 14; d = k + 1; s = y + 20; o = b + 5. If c = 18, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 5 to h, which gives h = b + 6.\n2. Substitute b = m + 2 to h, which gives h = m + 8.\n3. Substitute m = d + 18 to h, which gives h = d + 26.\n4. Substitute d = k + 1 to h, which gives h = k + 27.\n5. Substitute k = c + 14 to h, which gives h = c + 41.\n6. Substitute c = 18 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 3476,
"question": "Consider a system of variables where each variable is defined as follows: c = 18; z = s + 5; n = p + 4; m = d + 18; y = n + 11; b = m + 2; h = o + 1; p = c + 2; e = z + 13; k = c + 14; d = k + 1; s = y + 20; o = b + 5. If c = 18, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 4", "e": "y + 10", "m": "e + 20", "c": "m + 12", "p": "c + 6", "b": "p + 2", "w": "x + 9", "a": "w + 6", "i": "a + 10", "s": "i + 8", "h": "s + 12", "o": "h + 14", "x": 3}, "premises": {"x": 3}, "target": "b"}, "answer": {"steps": [["p", "c + 6", "c + 8"], ["c", "m + 12", "m + 20"], ["m", "e + 20", "e + 40"], ["e", "y + 10", "y + 50"], ["y", "x + 4", "x + 54"], ["x", 3, "57"]], "target_var_name": "b", "target_value": 57, "value_dict": {"x": 3}, "is_reverse": true}}
| 3,477
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 3; e = y + 10; y = x + 4; b = p + 2; s = i + 8; a = w + 6; o = h + 14; p = c + 6; i = a + 10; c = m + 12; h = s + 12; w = x + 9; m = e + 20. If x = 3, what is the resulting value of b?",
"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 b, which gives b = c + 8.\n2. Substitute c = m + 12 to b, which gives b = m + 20.\n3. Substitute m = e + 20 to b, which gives b = e + 40.\n4. Substitute e = y + 10 to b, which gives b = y + 50.\n5. Substitute y = x + 4 to b, which gives b = x + 54.\n6. Substitute x = 3 to b, which gives b = 57.\n\nThus, the final answer is b = \\boxed{57}.",
"index": 3477,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 3; e = y + 10; y = x + 4; b = p + 2; s = i + 8; a = w + 6; o = h + 14; p = c + 6; i = a + 10; c = m + 12; h = s + 12; w = x + 9; m = e + 20. If x = 3, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 10", "k": "o + 19", "j": "k + 12", "a": "j + 19", "r": "a + 13", "n": "r + 9", "f": "v + 13", "y": "f + 16", "b": "y + 6", "x": "b + 16", "q": "x + 8", "h": "q + 12", "v": 20}, "premises": {"v": 20}, "target": "n"}, "answer": {"steps": [["r", "a + 13", "a + 22"], ["a", "j + 19", "j + 41"], ["j", "k + 12", "k + 53"], ["k", "o + 19", "o + 72"], ["o", "v + 10", "v + 82"], ["v", 20, "102"]], "target_var_name": "n", "target_value": 102, "value_dict": {"v": 20}, "is_reverse": true}}
| 3,478
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = r + 9; x = b + 16; f = v + 13; j = k + 12; v = 20; q = x + 8; k = o + 19; r = a + 13; o = v + 10; b = y + 6; y = f + 16; h = q + 12; a = j + 19. Given that v = 20, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 13 to n, which gives n = a + 22.\n2. Substitute a = j + 19 to n, which gives n = j + 41.\n3. Substitute j = k + 12 to n, which gives n = k + 53.\n4. Substitute k = o + 19 to n, which gives n = o + 72.\n5. Substitute o = v + 10 to n, which gives n = v + 82.\n6. Substitute v = 20 to n, which gives n = 102.\n\nThus, the final answer is n = \\boxed{102}.",
"index": 3478,
"question": "Suppose a collection of variables is related by the following definitions: n = r + 9; x = b + 16; f = v + 13; j = k + 12; v = 20; q = x + 8; k = o + 19; r = a + 13; o = v + 10; b = y + 6; y = f + 16; h = q + 12; a = j + 19. Given that v = 20, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"s": "i + 11", "l": "s + 4", "z": "l + 6", "m": "z + 2", "n": "m + 11", "g": "n + 20", "q": "i + 17", "p": "q + 7", "f": "p + 19", "t": "f + 6", "u": "t + 10", "a": "u + 17", "i": 11}, "premises": {"i": 11}, "target": "g"}, "answer": {"steps": [["n", "m + 11", "m + 31"], ["m", "z + 2", "z + 33"], ["z", "l + 6", "l + 39"], ["l", "s + 4", "s + 43"], ["s", "i + 11", "i + 54"], ["i", 11, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"i": 11}, "is_reverse": true}}
| 3,479
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = u + 17; z = l + 6; m = z + 2; g = n + 20; s = i + 11; l = s + 4; u = t + 10; t = f + 6; q = i + 17; f = p + 19; n = m + 11; p = q + 7; i = 11. If i = 11, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 11 to g, which gives g = m + 31.\n2. Substitute m = z + 2 to g, which gives g = z + 33.\n3. Substitute z = l + 6 to g, which gives g = l + 39.\n4. Substitute l = s + 4 to g, which gives g = s + 43.\n5. Substitute s = i + 11 to g, which gives g = i + 54.\n6. Substitute i = 11 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 3479,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 17; z = l + 6; m = z + 2; g = n + 20; s = i + 11; l = s + 4; u = t + 10; t = f + 6; q = i + 17; f = p + 19; n = m + 11; p = q + 7; i = 11. If i = 11, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 20", "k": "f + 1", "c": "k + 14", "u": "c + 3", "o": "u + 19", "r": "o + 16", "w": "h + 7", "b": "w + 1", "x": "b + 16", "z": "x + 16", "q": "z + 4", "y": "q + 3", "h": 18}, "premises": {"h": 18}, "target": "r"}, "answer": {"steps": [["o", "u + 19", "u + 35"], ["u", "c + 3", "c + 38"], ["c", "k + 14", "k + 52"], ["k", "f + 1", "f + 53"], ["f", "h + 20", "h + 73"], ["h", 18, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"h": 18}, "is_reverse": true}}
| 3,480
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 7; q = z + 4; z = x + 16; u = c + 3; h = 18; y = q + 3; b = w + 1; x = b + 16; o = u + 19; c = k + 14; k = f + 1; f = h + 20; r = o + 16. Given that h = 18, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 19 to r, which gives r = u + 35.\n2. Substitute u = c + 3 to r, which gives r = c + 38.\n3. Substitute c = k + 14 to r, which gives r = k + 52.\n4. Substitute k = f + 1 to r, which gives r = f + 53.\n5. Substitute f = h + 20 to r, which gives r = h + 73.\n6. Substitute h = 18 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 3480,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 7; q = z + 4; z = x + 16; u = c + 3; h = 18; y = q + 3; b = w + 1; x = b + 16; o = u + 19; c = k + 14; k = f + 1; f = h + 20; r = o + 16. Given that h = 18, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 15", "z": "j + 8", "u": "z + 4", "w": "u + 17", "y": "w + 4", "x": "y + 17", "b": "s + 19", "q": "b + 6", "c": "q + 18", "e": "c + 9", "a": "e + 6", "p": "a + 1", "s": 12}, "premises": {"s": 12}, "target": "x"}, "answer": {"steps": [["y", "w + 4", "w + 21"], ["w", "u + 17", "u + 38"], ["u", "z + 4", "z + 42"], ["z", "j + 8", "j + 50"], ["j", "s + 15", "s + 65"], ["s", 12, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"s": 12}, "is_reverse": true}}
| 3,481
| 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 + 4; c = q + 18; e = c + 9; s = 12; u = z + 4; a = e + 6; b = s + 19; p = a + 1; q = b + 6; x = y + 17; j = s + 15; w = u + 17; z = j + 8. If s = 12, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 4 to x, which gives x = w + 21.\n2. Substitute w = u + 17 to x, which gives x = u + 38.\n3. Substitute u = z + 4 to x, which gives x = z + 42.\n4. Substitute z = j + 8 to x, which gives x = j + 50.\n5. Substitute j = s + 15 to x, which gives x = s + 65.\n6. Substitute s = 12 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 3481,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = w + 4; c = q + 18; e = c + 9; s = 12; u = z + 4; a = e + 6; b = s + 19; p = a + 1; q = b + 6; x = y + 17; j = s + 15; w = u + 17; z = j + 8. If s = 12, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 2", "t": "a + 13", "u": "t + 19", "q": "u + 4", "p": "q + 14", "d": "p + 14", "b": "c + 19", "w": "b + 15", "x": "w + 2", "v": "x + 1", "g": "v + 19", "i": "g + 15", "c": 13}, "premises": {"c": 13}, "target": "d"}, "answer": {"steps": [["p", "q + 14", "q + 28"], ["q", "u + 4", "u + 32"], ["u", "t + 19", "t + 51"], ["t", "a + 13", "a + 64"], ["a", "c + 2", "c + 66"], ["c", 13, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"c": 13}, "is_reverse": true}}
| 3,482
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = t + 19; a = c + 2; c = 13; d = p + 14; v = x + 1; t = a + 13; x = w + 2; w = b + 15; g = v + 19; q = u + 4; b = c + 19; p = q + 14; i = g + 15. Given that c = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 14 to d, which gives d = q + 28.\n2. Substitute q = u + 4 to d, which gives d = u + 32.\n3. Substitute u = t + 19 to d, which gives d = t + 51.\n4. Substitute t = a + 13 to d, which gives d = a + 64.\n5. Substitute a = c + 2 to d, which gives d = c + 66.\n6. Substitute c = 13 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 3482,
"question": "Suppose a collection of variables is related by the following definitions: u = t + 19; a = c + 2; c = 13; d = p + 14; v = x + 1; t = a + 13; x = w + 2; w = b + 15; g = v + 19; q = u + 4; b = c + 19; p = q + 14; i = g + 15. Given that c = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 7", "l": "o + 13", "e": "l + 8", "z": "e + 10", "n": "z + 6", "p": "n + 9", "m": "t + 6", "s": "m + 14", "h": "s + 5", "d": "h + 1", "b": "d + 13", "u": "b + 7", "t": 17}, "premises": {"t": 17}, "target": "p"}, "answer": {"steps": [["n", "z + 6", "z + 15"], ["z", "e + 10", "e + 25"], ["e", "l + 8", "l + 33"], ["l", "o + 13", "o + 46"], ["o", "t + 7", "t + 53"], ["t", 17, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"t": 17}, "is_reverse": true}}
| 3,483
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 8; d = h + 1; o = t + 7; l = o + 13; b = d + 13; m = t + 6; p = n + 9; z = e + 10; h = s + 5; t = 17; s = m + 14; n = z + 6; u = b + 7. Given that t = 17, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 6 to p, which gives p = z + 15.\n2. Substitute z = e + 10 to p, which gives p = e + 25.\n3. Substitute e = l + 8 to p, which gives p = l + 33.\n4. Substitute l = o + 13 to p, which gives p = o + 46.\n5. Substitute o = t + 7 to p, which gives p = t + 53.\n6. Substitute t = 17 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 3483,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 8; d = h + 1; o = t + 7; l = o + 13; b = d + 13; m = t + 6; p = n + 9; z = e + 10; h = s + 5; t = 17; s = m + 14; n = z + 6; u = b + 7. Given that t = 17, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 5", "k": "r + 12", "g": "k + 20", "l": "g + 17", "e": "l + 20", "d": "e + 9", "o": "u + 11", "m": "o + 17", "f": "m + 9", "a": "f + 3", "n": "a + 11", "b": "n + 1", "u": 3}, "premises": {"u": 3}, "target": "d"}, "answer": {"steps": [["e", "l + 20", "l + 29"], ["l", "g + 17", "g + 46"], ["g", "k + 20", "k + 66"], ["k", "r + 12", "r + 78"], ["r", "u + 5", "u + 83"], ["u", 3, "86"]], "target_var_name": "d", "target_value": 86, "value_dict": {"u": 3}, "is_reverse": true}}
| 3,484
| 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 = u + 5; l = g + 17; u = 3; e = l + 20; a = f + 3; k = r + 12; f = m + 9; d = e + 9; n = a + 11; b = n + 1; g = k + 20; m = o + 17; o = u + 11. If u = 3, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 20 to d, which gives d = l + 29.\n2. Substitute l = g + 17 to d, which gives d = g + 46.\n3. Substitute g = k + 20 to d, which gives d = k + 66.\n4. Substitute k = r + 12 to d, which gives d = r + 78.\n5. Substitute r = u + 5 to d, which gives d = u + 83.\n6. Substitute u = 3 to d, which gives d = 86.\n\nThus, the final answer is d = \\boxed{86}.",
"index": 3484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 5; l = g + 17; u = 3; e = l + 20; a = f + 3; k = r + 12; f = m + 9; d = e + 9; n = a + 11; b = n + 1; g = k + 20; m = o + 17; o = u + 11. If u = 3, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "v + 19", "p": "d + 5", "z": "p + 13", "c": "z + 2", "y": "c + 10", "n": "y + 4", "s": "v + 13", "w": "s + 15", "e": "w + 3", "t": "e + 11", "b": "t + 3", "l": "b + 12", "v": 5}, "premises": {"v": 5}, "target": "n"}, "answer": {"steps": [["y", "c + 10", "c + 14"], ["c", "z + 2", "z + 16"], ["z", "p + 13", "p + 29"], ["p", "d + 5", "d + 34"], ["d", "v + 19", "v + 53"], ["v", 5, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"v": 5}, "is_reverse": true}}
| 3,485
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 5; w = s + 15; l = b + 12; n = y + 4; y = c + 10; s = v + 13; d = v + 19; b = t + 3; t = e + 11; p = d + 5; c = z + 2; z = p + 13; e = w + 3. If v = 5, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 10 to n, which gives n = c + 14.\n2. Substitute c = z + 2 to n, which gives n = z + 16.\n3. Substitute z = p + 13 to n, which gives n = p + 29.\n4. Substitute p = d + 5 to n, which gives n = d + 34.\n5. Substitute d = v + 19 to n, which gives n = v + 53.\n6. Substitute v = 5 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 3485,
"question": "Consider a system of variables where each variable is defined as follows: v = 5; w = s + 15; l = b + 12; n = y + 4; y = c + 10; s = v + 13; d = v + 19; b = t + 3; t = e + 11; p = d + 5; c = z + 2; z = p + 13; e = w + 3. If v = 5, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 17", "y": "a + 14", "b": "y + 20", "u": "b + 9", "j": "u + 20", "p": "j + 20", "h": "x + 13", "s": "h + 15", "o": "s + 18", "t": "o + 15", "l": "t + 8", "m": "l + 13", "x": 12}, "premises": {"x": 12}, "target": "p"}, "answer": {"steps": [["j", "u + 20", "u + 40"], ["u", "b + 9", "b + 49"], ["b", "y + 20", "y + 69"], ["y", "a + 14", "a + 83"], ["a", "x + 17", "x + 100"], ["x", 12, "112"]], "target_var_name": "p", "target_value": 112, "value_dict": {"x": 12}, "is_reverse": true}}
| 3,486
| 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 = b + 9; x = 12; l = t + 8; b = y + 20; m = l + 13; h = x + 13; y = a + 14; p = j + 20; j = u + 20; a = x + 17; t = o + 15; s = h + 15; o = s + 18. If x = 12, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 112,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 20 to p, which gives p = u + 40.\n2. Substitute u = b + 9 to p, which gives p = b + 49.\n3. Substitute b = y + 20 to p, which gives p = y + 69.\n4. Substitute y = a + 14 to p, which gives p = a + 83.\n5. Substitute a = x + 17 to p, which gives p = x + 100.\n6. Substitute x = 12 to p, which gives p = 112.\n\nThus, the final answer is p = \\boxed{112}.",
"index": 3486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = b + 9; x = 12; l = t + 8; b = y + 20; m = l + 13; h = x + 13; y = a + 14; p = j + 20; j = u + 20; a = x + 17; t = o + 15; s = h + 15; o = s + 18. If x = 12, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 7", "a": "f + 11", "r": "a + 11", "h": "r + 14", "j": "h + 13", "q": "j + 9", "m": "e + 1", "i": "m + 6", "b": "i + 3", "d": "b + 7", "t": "d + 18", "s": "t + 16", "e": 20}, "premises": {"e": 20}, "target": "q"}, "answer": {"steps": [["j", "h + 13", "h + 22"], ["h", "r + 14", "r + 36"], ["r", "a + 11", "a + 47"], ["a", "f + 11", "f + 58"], ["f", "e + 7", "e + 65"], ["e", 20, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"e": 20}, "is_reverse": true}}
| 3,487
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 18; j = h + 13; r = a + 11; m = e + 1; q = j + 9; d = b + 7; s = t + 16; b = i + 3; h = r + 14; f = e + 7; i = m + 6; e = 20; a = f + 11. Given that e = 20, find 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 j = h + 13 to q, which gives q = h + 22.\n2. Substitute h = r + 14 to q, which gives q = r + 36.\n3. Substitute r = a + 11 to q, which gives q = a + 47.\n4. Substitute a = f + 11 to q, which gives q = f + 58.\n5. Substitute f = e + 7 to q, which gives q = e + 65.\n6. Substitute e = 20 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 3487,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 18; j = h + 13; r = a + 11; m = e + 1; q = j + 9; d = b + 7; s = t + 16; b = i + 3; h = r + 14; f = e + 7; i = m + 6; e = 20; a = f + 11. Given that e = 20, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 2", "e": "w + 12", "b": "e + 14", "g": "b + 19", "v": "g + 15", "f": "v + 18", "z": "a + 3", "t": "z + 20", "y": "t + 14", "d": "y + 19", "r": "d + 12", "i": "r + 1", "a": 2}, "premises": {"a": 2}, "target": "f"}, "answer": {"steps": [["v", "g + 15", "g + 33"], ["g", "b + 19", "b + 52"], ["b", "e + 14", "e + 66"], ["e", "w + 12", "w + 78"], ["w", "a + 2", "a + 80"], ["a", 2, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"a": 2}, "is_reverse": true}}
| 3,488
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = b + 19; y = t + 14; w = a + 2; r = d + 12; z = a + 3; b = e + 14; v = g + 15; d = y + 19; i = r + 1; f = v + 18; e = w + 12; t = z + 20; a = 2. Given that a = 2, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 15 to f, which gives f = g + 33.\n2. Substitute g = b + 19 to f, which gives f = b + 52.\n3. Substitute b = e + 14 to f, which gives f = e + 66.\n4. Substitute e = w + 12 to f, which gives f = w + 78.\n5. Substitute w = a + 2 to f, which gives f = a + 80.\n6. Substitute a = 2 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 3488,
"question": "Suppose a collection of variables is related by the following definitions: g = b + 19; y = t + 14; w = a + 2; r = d + 12; z = a + 3; b = e + 14; v = g + 15; d = y + 19; i = r + 1; f = v + 18; e = w + 12; t = z + 20; a = 2. Given that a = 2, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 20", "m": "h + 11", "q": "m + 6", "u": "q + 13", "j": "u + 20", "o": "j + 4", "y": "k + 4", "l": "y + 10", "s": "l + 15", "w": "s + 20", "b": "w + 15", "z": "b + 4", "k": 13}, "premises": {"k": 13}, "target": "o"}, "answer": {"steps": [["j", "u + 20", "u + 24"], ["u", "q + 13", "q + 37"], ["q", "m + 6", "m + 43"], ["m", "h + 11", "h + 54"], ["h", "k + 20", "k + 74"], ["k", 13, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"k": 13}, "is_reverse": true}}
| 3,489
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = q + 13; m = h + 11; o = j + 4; q = m + 6; z = b + 4; k = 13; s = l + 15; w = s + 20; y = k + 4; l = y + 10; b = w + 15; j = u + 20; h = k + 20. Given that k = 13, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 20 to o, which gives o = u + 24.\n2. Substitute u = q + 13 to o, which gives o = q + 37.\n3. Substitute q = m + 6 to o, which gives o = m + 43.\n4. Substitute m = h + 11 to o, which gives o = h + 54.\n5. Substitute h = k + 20 to o, which gives o = k + 74.\n6. Substitute k = 13 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 3489,
"question": "Suppose a collection of variables is related by the following definitions: u = q + 13; m = h + 11; o = j + 4; q = m + 6; z = b + 4; k = 13; s = l + 15; w = s + 20; y = k + 4; l = y + 10; b = w + 15; j = u + 20; h = k + 20. Given that k = 13, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 3", "g": "i + 10", "e": "g + 16", "b": "e + 11", "a": "b + 6", "t": "a + 13", "f": "l + 18", "m": "f + 5", "j": "m + 5", "q": "j + 8", "u": "q + 1", "y": "u + 1", "l": 19}, "premises": {"l": 19}, "target": "t"}, "answer": {"steps": [["a", "b + 6", "b + 19"], ["b", "e + 11", "e + 30"], ["e", "g + 16", "g + 46"], ["g", "i + 10", "i + 56"], ["i", "l + 3", "l + 59"], ["l", 19, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"l": 19}, "is_reverse": true}}
| 3,490
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 18; u = q + 1; t = a + 13; e = g + 16; g = i + 10; j = m + 5; m = f + 5; q = j + 8; i = l + 3; b = e + 11; l = 19; y = u + 1; a = b + 6. If l = 19, 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 a = b + 6 to t, which gives t = b + 19.\n2. Substitute b = e + 11 to t, which gives t = e + 30.\n3. Substitute e = g + 16 to t, which gives t = g + 46.\n4. Substitute g = i + 10 to t, which gives t = i + 56.\n5. Substitute i = l + 3 to t, which gives t = l + 59.\n6. Substitute l = 19 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 3490,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 18; u = q + 1; t = a + 13; e = g + 16; g = i + 10; j = m + 5; m = f + 5; q = j + 8; i = l + 3; b = e + 11; l = 19; y = u + 1; a = b + 6. If l = 19, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 7", "h": "w + 6", "v": "h + 20", "t": "v + 15", "s": "t + 15", "z": "s + 17", "y": "q + 18", "l": "y + 12", "u": "l + 12", "x": "u + 8", "m": "x + 19", "p": "m + 11", "q": 6}, "premises": {"q": 6}, "target": "z"}, "answer": {"steps": [["s", "t + 15", "t + 32"], ["t", "v + 15", "v + 47"], ["v", "h + 20", "h + 67"], ["h", "w + 6", "w + 73"], ["w", "q + 7", "q + 80"], ["q", 6, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"q": 6}, "is_reverse": true}}
| 3,491
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 15; v = h + 20; h = w + 6; x = u + 8; z = s + 17; p = m + 11; t = v + 15; l = y + 12; w = q + 7; m = x + 19; u = l + 12; y = q + 18; q = 6. If q = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 15 to z, which gives z = t + 32.\n2. Substitute t = v + 15 to z, which gives z = v + 47.\n3. Substitute v = h + 20 to z, which gives z = h + 67.\n4. Substitute h = w + 6 to z, which gives z = w + 73.\n5. Substitute w = q + 7 to z, which gives z = q + 80.\n6. Substitute q = 6 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 3491,
"question": "Consider a system of variables where each variable is defined as follows: s = t + 15; v = h + 20; h = w + 6; x = u + 8; z = s + 17; p = m + 11; t = v + 15; l = y + 12; w = q + 7; m = x + 19; u = l + 12; y = q + 18; q = 6. If q = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 12", "e": "r + 16", "j": "e + 15", "f": "j + 10", "p": "f + 8", "x": "p + 15", "s": "q + 4", "u": "s + 6", "y": "u + 14", "z": "y + 3", "w": "z + 10", "v": "w + 19", "q": 3}, "premises": {"q": 3}, "target": "x"}, "answer": {"steps": [["p", "f + 8", "f + 23"], ["f", "j + 10", "j + 33"], ["j", "e + 15", "e + 48"], ["e", "r + 16", "r + 64"], ["r", "q + 12", "q + 76"], ["q", 3, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"q": 3}, "is_reverse": true}}
| 3,492
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = j + 10; x = p + 15; y = u + 14; s = q + 4; e = r + 16; z = y + 3; v = w + 19; u = s + 6; p = f + 8; r = q + 12; q = 3; j = e + 15; w = z + 10. If q = 3, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 8 to x, which gives x = f + 23.\n2. Substitute f = j + 10 to x, which gives x = j + 33.\n3. Substitute j = e + 15 to x, which gives x = e + 48.\n4. Substitute e = r + 16 to x, which gives x = r + 64.\n5. Substitute r = q + 12 to x, which gives x = q + 76.\n6. Substitute q = 3 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 3492,
"question": "Consider a system of variables where each variable is defined as follows: f = j + 10; x = p + 15; y = u + 14; s = q + 4; e = r + 16; z = y + 3; v = w + 19; u = s + 6; p = f + 8; r = q + 12; q = 3; j = e + 15; w = z + 10. If q = 3, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"i": "q + 14", "l": "i + 11", "g": "l + 13", "d": "g + 3", "e": "d + 13", "v": "e + 19", "p": "q + 8", "h": "p + 18", "s": "h + 9", "k": "s + 12", "o": "k + 8", "r": "o + 5", "q": 13}, "premises": {"q": 13}, "target": "v"}, "answer": {"steps": [["e", "d + 13", "d + 32"], ["d", "g + 3", "g + 35"], ["g", "l + 13", "l + 48"], ["l", "i + 11", "i + 59"], ["i", "q + 14", "q + 73"], ["q", 13, "86"]], "target_var_name": "v", "target_value": 86, "value_dict": {"q": 13}, "is_reverse": true}}
| 3,493
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 14; l = i + 11; p = q + 8; d = g + 3; h = p + 18; q = 13; k = s + 12; r = o + 5; e = d + 13; g = l + 13; s = h + 9; v = e + 19; o = k + 8. Given that q = 13, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 13 to v, which gives v = d + 32.\n2. Substitute d = g + 3 to v, which gives v = g + 35.\n3. Substitute g = l + 13 to v, which gives v = l + 48.\n4. Substitute l = i + 11 to v, which gives v = i + 59.\n5. Substitute i = q + 14 to v, which gives v = q + 73.\n6. Substitute q = 13 to v, which gives v = 86.\n\nThus, the final answer is v = \\boxed{86}.",
"index": 3493,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 14; l = i + 11; p = q + 8; d = g + 3; h = p + 18; q = 13; k = s + 12; r = o + 5; e = d + 13; g = l + 13; s = h + 9; v = e + 19; o = k + 8. Given that q = 13, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 3", "t": "f + 14", "b": "t + 8", "k": "b + 1", "e": "k + 1", "h": "e + 13", "g": "q + 9", "c": "g + 19", "i": "c + 16", "z": "i + 7", "p": "z + 17", "u": "p + 2", "q": 6}, "premises": {"q": 6}, "target": "h"}, "answer": {"steps": [["e", "k + 1", "k + 14"], ["k", "b + 1", "b + 15"], ["b", "t + 8", "t + 23"], ["t", "f + 14", "f + 37"], ["f", "q + 3", "q + 40"], ["q", 6, "46"]], "target_var_name": "h", "target_value": 46, "value_dict": {"q": 6}, "is_reverse": true}}
| 3,494
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 17; z = i + 7; g = q + 9; b = t + 8; f = q + 3; c = g + 19; q = 6; t = f + 14; u = p + 2; e = k + 1; k = b + 1; i = c + 16; h = e + 13. If q = 6, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 1 to h, which gives h = k + 14.\n2. Substitute k = b + 1 to h, which gives h = b + 15.\n3. Substitute b = t + 8 to h, which gives h = t + 23.\n4. Substitute t = f + 14 to h, which gives h = f + 37.\n5. Substitute f = q + 3 to h, which gives h = q + 40.\n6. Substitute q = 6 to h, which gives h = 46.\n\nThus, the final answer is h = \\boxed{46}.",
"index": 3494,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 17; z = i + 7; g = q + 9; b = t + 8; f = q + 3; c = g + 19; q = 6; t = f + 14; u = p + 2; e = k + 1; k = b + 1; i = c + 16; h = e + 13. If q = 6, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 6", "z": "m + 2", "t": "z + 11", "r": "t + 12", "n": "r + 14", "q": "n + 5", "x": "f + 18", "w": "x + 1", "k": "w + 4", "b": "k + 4", "v": "b + 16", "d": "v + 1", "f": 3}, "premises": {"f": 3}, "target": "q"}, "answer": {"steps": [["n", "r + 14", "r + 19"], ["r", "t + 12", "t + 31"], ["t", "z + 11", "z + 42"], ["z", "m + 2", "m + 44"], ["m", "f + 6", "f + 50"], ["f", 3, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"f": 3}, "is_reverse": true}}
| 3,495
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 1; m = f + 6; k = w + 4; b = k + 4; d = v + 1; z = m + 2; f = 3; n = r + 14; r = t + 12; x = f + 18; t = z + 11; v = b + 16; q = n + 5. If f = 3, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 14 to q, which gives q = r + 19.\n2. Substitute r = t + 12 to q, which gives q = t + 31.\n3. Substitute t = z + 11 to q, which gives q = z + 42.\n4. Substitute z = m + 2 to q, which gives q = m + 44.\n5. Substitute m = f + 6 to q, which gives q = f + 50.\n6. Substitute f = 3 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 3495,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = x + 1; m = f + 6; k = w + 4; b = k + 4; d = v + 1; z = m + 2; f = 3; n = r + 14; r = t + 12; x = f + 18; t = z + 11; v = b + 16; q = n + 5. If f = 3, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"a": "k + 11", "b": "a + 7", "e": "b + 10", "s": "e + 10", "i": "s + 10", "c": "i + 10", "x": "k + 18", "v": "x + 1", "q": "v + 15", "h": "q + 14", "g": "h + 13", "p": "g + 5", "k": 13}, "premises": {"k": 13}, "target": "c"}, "answer": {"steps": [["i", "s + 10", "s + 20"], ["s", "e + 10", "e + 30"], ["e", "b + 10", "b + 40"], ["b", "a + 7", "a + 47"], ["a", "k + 11", "k + 58"], ["k", 13, "71"]], "target_var_name": "c", "target_value": 71, "value_dict": {"k": 13}, "is_reverse": true}}
| 3,496
| 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 = b + 10; v = x + 1; s = e + 10; g = h + 13; a = k + 11; x = k + 18; k = 13; q = v + 15; b = a + 7; p = g + 5; i = s + 10; h = q + 14; c = i + 10. If k = 13, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 10 to c, which gives c = s + 20.\n2. Substitute s = e + 10 to c, which gives c = e + 30.\n3. Substitute e = b + 10 to c, which gives c = b + 40.\n4. Substitute b = a + 7 to c, which gives c = a + 47.\n5. Substitute a = k + 11 to c, which gives c = k + 58.\n6. Substitute k = 13 to c, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 3496,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = b + 10; v = x + 1; s = e + 10; g = h + 13; a = k + 11; x = k + 18; k = 13; q = v + 15; b = a + 7; p = g + 5; i = s + 10; h = q + 14; c = i + 10. If k = 13, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 5", "y": "f + 18", "u": "y + 1", "v": "u + 16", "i": "v + 2", "c": "i + 15", "m": "g + 16", "h": "m + 9", "d": "h + 16", "z": "d + 7", "s": "z + 19", "a": "s + 11", "g": 3}, "premises": {"g": 3}, "target": "c"}, "answer": {"steps": [["i", "v + 2", "v + 17"], ["v", "u + 16", "u + 33"], ["u", "y + 1", "y + 34"], ["y", "f + 18", "f + 52"], ["f", "g + 5", "g + 57"], ["g", 3, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"g": 3}, "is_reverse": true}}
| 3,497
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 16; a = s + 11; h = m + 9; s = z + 19; z = d + 7; c = i + 15; f = g + 5; d = h + 16; u = y + 1; i = v + 2; g = 3; y = f + 18; m = g + 16. If g = 3, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 2 to c, which gives c = v + 17.\n2. Substitute v = u + 16 to c, which gives c = u + 33.\n3. Substitute u = y + 1 to c, which gives c = y + 34.\n4. Substitute y = f + 18 to c, which gives c = f + 52.\n5. Substitute f = g + 5 to c, which gives c = g + 57.\n6. Substitute g = 3 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 3497,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 16; a = s + 11; h = m + 9; s = z + 19; z = d + 7; c = i + 15; f = g + 5; d = h + 16; u = y + 1; i = v + 2; g = 3; y = f + 18; m = g + 16. If g = 3, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 18", "r": "e + 14", "n": "r + 11", "g": "n + 20", "z": "g + 17", "s": "z + 13", "b": "i + 17", "x": "b + 6", "w": "x + 3", "o": "w + 18", "p": "o + 7", "d": "p + 6", "i": 13}, "premises": {"i": 13}, "target": "s"}, "answer": {"steps": [["z", "g + 17", "g + 30"], ["g", "n + 20", "n + 50"], ["n", "r + 11", "r + 61"], ["r", "e + 14", "e + 75"], ["e", "i + 18", "i + 93"], ["i", 13, "106"]], "target_var_name": "s", "target_value": 106, "value_dict": {"i": 13}, "is_reverse": true}}
| 3,498
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 11; s = z + 13; w = x + 3; d = p + 6; x = b + 6; e = i + 18; r = e + 14; i = 13; p = o + 7; z = g + 17; o = w + 18; g = n + 20; b = i + 17. If i = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 17 to s, which gives s = g + 30.\n2. Substitute g = n + 20 to s, which gives s = n + 50.\n3. Substitute n = r + 11 to s, which gives s = r + 61.\n4. Substitute r = e + 14 to s, which gives s = e + 75.\n5. Substitute e = i + 18 to s, which gives s = i + 93.\n6. Substitute i = 13 to s, which gives s = 106.\n\nThus, the final answer is s = \\boxed{106}.",
"index": 3498,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 11; s = z + 13; w = x + 3; d = p + 6; x = b + 6; e = i + 18; r = e + 14; i = 13; p = o + 7; z = g + 17; o = w + 18; g = n + 20; b = i + 17. If i = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 20", "q": "r + 5", "u": "q + 1", "k": "u + 3", "y": "k + 18", "l": "y + 5", "p": "g + 4", "m": "p + 3", "w": "m + 2", "d": "w + 12", "s": "d + 17", "v": "s + 2", "g": 11}, "premises": {"g": 11}, "target": "l"}, "answer": {"steps": [["y", "k + 18", "k + 23"], ["k", "u + 3", "u + 26"], ["u", "q + 1", "q + 27"], ["q", "r + 5", "r + 32"], ["r", "g + 20", "g + 52"], ["g", 11, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"g": 11}, "is_reverse": true}}
| 3,499
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = g + 4; y = k + 18; g = 11; u = q + 1; r = g + 20; s = d + 17; m = p + 3; w = m + 2; q = r + 5; v = s + 2; l = y + 5; k = u + 3; d = w + 12. If g = 11, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 18 to l, which gives l = k + 23.\n2. Substitute k = u + 3 to l, which gives l = u + 26.\n3. Substitute u = q + 1 to l, which gives l = q + 27.\n4. Substitute q = r + 5 to l, which gives l = r + 32.\n5. Substitute r = g + 20 to l, which gives l = g + 52.\n6. Substitute g = 11 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 3499,
"question": "Consider a system of variables where each variable is defined as follows: p = g + 4; y = k + 18; g = 11; u = q + 1; r = g + 20; s = d + 17; m = p + 3; w = m + 2; q = r + 5; v = s + 2; l = y + 5; k = u + 3; d = w + 12. If g = 11, determine the value of l.",
"split": "train"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.