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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"s": "e + 16", "v": "s + 12", "r": "v + 6", "n": "r + 10", "p": "n + 15", "a": "p + 9", "j": "e + 20", "l": "j + 7", "x": "l + 12", "u": "x + 7", "d": "u + 18", "y": "d + 7", "e": 7}, "premises": {"e": 7}, "target": "a"}, "answer": {"steps": [["p", "n + 15", "n + 24"], ["n", "r + 10", "r + 34"], ["r", "v + 6", "v + 40"], ["v", "s + 12", "s + 52"], ["s", "e + 16", "e + 68"], ["e", 7, "75"]], "target_var_name": "a", "target_value": 75, "value_dict": {"e": 7}, "is_reverse": true}}
| 4,200
| 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 = p + 9; y = d + 7; l = j + 7; e = 7; j = e + 20; n = r + 10; p = n + 15; v = s + 12; u = x + 7; r = v + 6; d = u + 18; s = e + 16; x = l + 12. If e = 7, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 15 to a, which gives a = n + 24.\n2. Substitute n = r + 10 to a, which gives a = r + 34.\n3. Substitute r = v + 6 to a, which gives a = v + 40.\n4. Substitute v = s + 12 to a, which gives a = s + 52.\n5. Substitute s = e + 16 to a, which gives a = e + 68.\n6. Substitute e = 7 to a, which gives a = 75.\n\nThus, the final answer is a = \\boxed{75}.",
"index": 4200,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 9; y = d + 7; l = j + 7; e = 7; j = e + 20; n = r + 10; p = n + 15; v = s + 12; u = x + 7; r = v + 6; d = u + 18; s = e + 16; x = l + 12. If e = 7, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 18", "q": "g + 15", "k": "q + 8", "r": "k + 5", "v": "r + 19", "f": "v + 2", "t": "s + 13", "x": "t + 2", "y": "x + 10", "l": "y + 19", "i": "l + 4", "j": "i + 2", "s": 2}, "premises": {"s": 2}, "target": "f"}, "answer": {"steps": [["v", "r + 19", "r + 21"], ["r", "k + 5", "k + 26"], ["k", "q + 8", "q + 34"], ["q", "g + 15", "g + 49"], ["g", "s + 18", "s + 67"], ["s", 2, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"s": 2}, "is_reverse": true}}
| 4,201
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = x + 10; l = y + 19; v = r + 19; t = s + 13; x = t + 2; g = s + 18; j = i + 2; k = q + 8; r = k + 5; s = 2; i = l + 4; q = g + 15; f = v + 2. If s = 2, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = r + 19 to f, which gives f = r + 21.\n2. Substitute r = k + 5 to f, which gives f = k + 26.\n3. Substitute k = q + 8 to f, which gives f = q + 34.\n4. Substitute q = g + 15 to f, which gives f = g + 49.\n5. Substitute g = s + 18 to f, which gives f = s + 67.\n6. Substitute s = 2 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 4201,
"question": "Consider a system of variables where each variable is defined as follows: y = x + 10; l = y + 19; v = r + 19; t = s + 13; x = t + 2; g = s + 18; j = i + 2; k = q + 8; r = k + 5; s = 2; i = l + 4; q = g + 15; f = v + 2. If s = 2, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 17", "p": "u + 1", "q": "p + 15", "v": "q + 17", "e": "v + 5", "r": "e + 14", "z": "g + 7", "j": "z + 2", "a": "j + 5", "d": "a + 17", "x": "d + 12", "t": "x + 8", "g": 16}, "premises": {"g": 16}, "target": "r"}, "answer": {"steps": [["e", "v + 5", "v + 19"], ["v", "q + 17", "q + 36"], ["q", "p + 15", "p + 51"], ["p", "u + 1", "u + 52"], ["u", "g + 17", "g + 69"], ["g", 16, "85"]], "target_var_name": "r", "target_value": 85, "value_dict": {"g": 16}, "is_reverse": true}}
| 4,202
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = x + 8; g = 16; j = z + 2; q = p + 15; z = g + 7; d = a + 17; e = v + 5; x = d + 12; r = e + 14; a = j + 5; u = g + 17; p = u + 1; v = q + 17. If g = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 5 to r, which gives r = v + 19.\n2. Substitute v = q + 17 to r, which gives r = q + 36.\n3. Substitute q = p + 15 to r, which gives r = p + 51.\n4. Substitute p = u + 1 to r, which gives r = u + 52.\n5. Substitute u = g + 17 to r, which gives r = g + 69.\n6. Substitute g = 16 to r, which gives r = 85.\n\nThus, the final answer is r = \\boxed{85}.",
"index": 4202,
"question": "Consider a system of variables where each variable is defined as follows: t = x + 8; g = 16; j = z + 2; q = p + 15; z = g + 7; d = a + 17; e = v + 5; x = d + 12; r = e + 14; a = j + 5; u = g + 17; p = u + 1; v = q + 17. If g = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 16", "y": "h + 11", "s": "y + 11", "e": "s + 16", "t": "e + 13", "u": "t + 9", "d": "v + 11", "w": "d + 20", "o": "w + 5", "z": "o + 8", "m": "z + 12", "k": "m + 14", "v": 7}, "premises": {"v": 7}, "target": "u"}, "answer": {"steps": [["t", "e + 13", "e + 22"], ["e", "s + 16", "s + 38"], ["s", "y + 11", "y + 49"], ["y", "h + 11", "h + 60"], ["h", "v + 16", "v + 76"], ["v", 7, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"v": 7}, "is_reverse": true}}
| 4,203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 11; k = m + 14; u = t + 9; s = y + 11; h = v + 16; m = z + 12; o = w + 5; v = 7; w = d + 20; d = v + 11; z = o + 8; e = s + 16; t = e + 13. If v = 7, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 13 to u, which gives u = e + 22.\n2. Substitute e = s + 16 to u, which gives u = s + 38.\n3. Substitute s = y + 11 to u, which gives u = y + 49.\n4. Substitute y = h + 11 to u, which gives u = h + 60.\n5. Substitute h = v + 16 to u, which gives u = v + 76.\n6. Substitute v = 7 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 4203,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 11; k = m + 14; u = t + 9; s = y + 11; h = v + 16; m = z + 12; o = w + 5; v = 7; w = d + 20; d = v + 11; z = o + 8; e = s + 16; t = e + 13. If v = 7, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 6", "e": "t + 12", "i": "e + 15", "p": "i + 8", "d": "p + 17", "z": "d + 10", "h": "q + 16", "k": "h + 20", "c": "k + 10", "y": "c + 8", "b": "y + 3", "w": "b + 20", "q": 1}, "premises": {"q": 1}, "target": "z"}, "answer": {"steps": [["d", "p + 17", "p + 27"], ["p", "i + 8", "i + 35"], ["i", "e + 15", "e + 50"], ["e", "t + 12", "t + 62"], ["t", "q + 6", "q + 68"], ["q", 1, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"q": 1}, "is_reverse": true}}
| 4,204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = p + 17; y = c + 8; q = 1; b = y + 3; c = k + 10; e = t + 12; p = i + 8; k = h + 20; w = b + 20; h = q + 16; t = q + 6; i = e + 15; z = d + 10. Given that q = 1, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 17 to z, which gives z = p + 27.\n2. Substitute p = i + 8 to z, which gives z = i + 35.\n3. Substitute i = e + 15 to z, which gives z = e + 50.\n4. Substitute e = t + 12 to z, which gives z = t + 62.\n5. Substitute t = q + 6 to z, which gives z = q + 68.\n6. Substitute q = 1 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 4204,
"question": "Suppose a collection of variables is related by the following definitions: d = p + 17; y = c + 8; q = 1; b = y + 3; c = k + 10; e = t + 12; p = i + 8; k = h + 20; w = b + 20; h = q + 16; t = q + 6; i = e + 15; z = d + 10. Given that q = 1, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 6", "g": "f + 17", "r": "g + 17", "m": "r + 12", "o": "m + 1", "x": "o + 13", "j": "t + 10", "p": "j + 16", "i": "p + 9", "w": "i + 15", "k": "w + 16", "l": "k + 13", "t": 8}, "premises": {"t": 8}, "target": "x"}, "answer": {"steps": [["o", "m + 1", "m + 14"], ["m", "r + 12", "r + 26"], ["r", "g + 17", "g + 43"], ["g", "f + 17", "f + 60"], ["f", "t + 6", "t + 66"], ["t", 8, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"t": 8}, "is_reverse": true}}
| 4,205
| 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 = k + 13; r = g + 17; p = j + 16; f = t + 6; i = p + 9; w = i + 15; x = o + 13; g = f + 17; m = r + 12; k = w + 16; t = 8; o = m + 1; j = t + 10. If t = 8, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 1 to x, which gives x = m + 14.\n2. Substitute m = r + 12 to x, which gives x = r + 26.\n3. Substitute r = g + 17 to x, which gives x = g + 43.\n4. Substitute g = f + 17 to x, which gives x = f + 60.\n5. Substitute f = t + 6 to x, which gives x = t + 66.\n6. Substitute t = 8 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 4205,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 13; r = g + 17; p = j + 16; f = t + 6; i = p + 9; w = i + 15; x = o + 13; g = f + 17; m = r + 12; k = w + 16; t = 8; o = m + 1; j = t + 10. If t = 8, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"t": "h + 11", "x": "t + 6", "i": "x + 9", "v": "i + 2", "a": "v + 3", "b": "a + 7", "d": "h + 4", "l": "d + 3", "y": "l + 16", "u": "y + 20", "s": "u + 18", "p": "s + 1", "h": 11}, "premises": {"h": 11}, "target": "b"}, "answer": {"steps": [["a", "v + 3", "v + 10"], ["v", "i + 2", "i + 12"], ["i", "x + 9", "x + 21"], ["x", "t + 6", "t + 27"], ["t", "h + 11", "h + 38"], ["h", 11, "49"]], "target_var_name": "b", "target_value": 49, "value_dict": {"h": 11}, "is_reverse": true}}
| 4,206
| 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 = y + 20; p = s + 1; s = u + 18; v = i + 2; l = d + 3; h = 11; t = h + 11; x = t + 6; b = a + 7; d = h + 4; a = v + 3; y = l + 16; i = x + 9. If h = 11, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 3 to b, which gives b = v + 10.\n2. Substitute v = i + 2 to b, which gives b = i + 12.\n3. Substitute i = x + 9 to b, which gives b = x + 21.\n4. Substitute x = t + 6 to b, which gives b = t + 27.\n5. Substitute t = h + 11 to b, which gives b = h + 38.\n6. Substitute h = 11 to b, which gives b = 49.\n\nThus, the final answer is b = \\boxed{49}.",
"index": 4206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = y + 20; p = s + 1; s = u + 18; v = i + 2; l = d + 3; h = 11; t = h + 11; x = t + 6; b = a + 7; d = h + 4; a = v + 3; y = l + 16; i = x + 9. If h = 11, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 2", "v": "r + 17", "o": "v + 19", "i": "o + 8", "z": "i + 10", "m": "z + 3", "h": "p + 20", "c": "h + 15", "b": "c + 2", "y": "b + 12", "t": "y + 13", "d": "t + 13", "p": 19}, "premises": {"p": 19}, "target": "m"}, "answer": {"steps": [["z", "i + 10", "i + 13"], ["i", "o + 8", "o + 21"], ["o", "v + 19", "v + 40"], ["v", "r + 17", "r + 57"], ["r", "p + 2", "p + 59"], ["p", 19, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"p": 19}, "is_reverse": true}}
| 4,207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 2; z = i + 10; d = t + 13; h = p + 20; v = r + 17; r = p + 2; p = 19; c = h + 15; t = y + 13; m = z + 3; y = b + 12; i = o + 8; o = v + 19. If p = 19, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 10 to m, which gives m = i + 13.\n2. Substitute i = o + 8 to m, which gives m = o + 21.\n3. Substitute o = v + 19 to m, which gives m = v + 40.\n4. Substitute v = r + 17 to m, which gives m = r + 57.\n5. Substitute r = p + 2 to m, which gives m = p + 59.\n6. Substitute p = 19 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 4207,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 2; z = i + 10; d = t + 13; h = p + 20; v = r + 17; r = p + 2; p = 19; c = h + 15; t = y + 13; m = z + 3; y = b + 12; i = o + 8; o = v + 19. If p = 19, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"g": "m + 7", "f": "g + 18", "r": "f + 7", "e": "r + 3", "z": "e + 8", "c": "z + 3", "s": "m + 14", "k": "s + 4", "l": "k + 2", "t": "l + 9", "b": "t + 20", "j": "b + 16", "m": 15}, "premises": {"m": 15}, "target": "c"}, "answer": {"steps": [["z", "e + 8", "e + 11"], ["e", "r + 3", "r + 14"], ["r", "f + 7", "f + 21"], ["f", "g + 18", "g + 39"], ["g", "m + 7", "m + 46"], ["m", 15, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"m": 15}, "is_reverse": true}}
| 4,208
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = r + 3; c = z + 3; l = k + 2; j = b + 16; z = e + 8; m = 15; f = g + 18; b = t + 20; t = l + 9; r = f + 7; s = m + 14; g = m + 7; k = s + 4. Given that m = 15, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 8 to c, which gives c = e + 11.\n2. Substitute e = r + 3 to c, which gives c = r + 14.\n3. Substitute r = f + 7 to c, which gives c = f + 21.\n4. Substitute f = g + 18 to c, which gives c = g + 39.\n5. Substitute g = m + 7 to c, which gives c = m + 46.\n6. Substitute m = 15 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 4208,
"question": "Suppose a collection of variables is related by the following definitions: e = r + 3; c = z + 3; l = k + 2; j = b + 16; z = e + 8; m = 15; f = g + 18; b = t + 20; t = l + 9; r = f + 7; s = m + 14; g = m + 7; k = s + 4. Given that m = 15, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 12", "c": "l + 5", "m": "c + 2", "z": "m + 3", "j": "z + 9", "e": "j + 14", "a": "b + 20", "y": "a + 20", "k": "y + 16", "x": "k + 2", "f": "x + 7", "r": "f + 20", "b": 14}, "premises": {"b": 14}, "target": "e"}, "answer": {"steps": [["j", "z + 9", "z + 23"], ["z", "m + 3", "m + 26"], ["m", "c + 2", "c + 28"], ["c", "l + 5", "l + 33"], ["l", "b + 12", "b + 45"], ["b", 14, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"b": 14}, "is_reverse": true}}
| 4,209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 14; e = j + 14; x = k + 2; r = f + 20; j = z + 9; k = y + 16; z = m + 3; m = c + 2; c = l + 5; y = a + 20; f = x + 7; l = b + 12; a = b + 20. If b = 14, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 9 to e, which gives e = z + 23.\n2. Substitute z = m + 3 to e, which gives e = m + 26.\n3. Substitute m = c + 2 to e, which gives e = c + 28.\n4. Substitute c = l + 5 to e, which gives e = l + 33.\n5. Substitute l = b + 12 to e, which gives e = b + 45.\n6. Substitute b = 14 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 4209,
"question": "Consider a system of variables where each variable is defined as follows: b = 14; e = j + 14; x = k + 2; r = f + 20; j = z + 9; k = y + 16; z = m + 3; m = c + 2; c = l + 5; y = a + 20; f = x + 7; l = b + 12; a = b + 20. If b = 14, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 14", "r": "v + 20", "i": "r + 13", "g": "i + 16", "u": "g + 2", "o": "u + 13", "j": "y + 17", "c": "j + 6", "a": "c + 10", "z": "a + 16", "d": "z + 20", "k": "d + 13", "y": 7}, "premises": {"y": 7}, "target": "o"}, "answer": {"steps": [["u", "g + 2", "g + 15"], ["g", "i + 16", "i + 31"], ["i", "r + 13", "r + 44"], ["r", "v + 20", "v + 64"], ["v", "y + 14", "y + 78"], ["y", 7, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"y": 7}, "is_reverse": true}}
| 4,210
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 20; r = v + 20; i = r + 13; k = d + 13; y = 7; c = j + 6; v = y + 14; j = y + 17; z = a + 16; u = g + 2; g = i + 16; o = u + 13; a = c + 10. If y = 7, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 2 to o, which gives o = g + 15.\n2. Substitute g = i + 16 to o, which gives o = i + 31.\n3. Substitute i = r + 13 to o, which gives o = r + 44.\n4. Substitute r = v + 20 to o, which gives o = v + 64.\n5. Substitute v = y + 14 to o, which gives o = y + 78.\n6. Substitute y = 7 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 4210,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 20; r = v + 20; i = r + 13; k = d + 13; y = 7; c = j + 6; v = y + 14; j = y + 17; z = a + 16; u = g + 2; g = i + 16; o = u + 13; a = c + 10. If y = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 7", "n": "s + 15", "v": "n + 15", "o": "v + 1", "p": "o + 15", "g": "p + 17", "r": "x + 2", "b": "r + 12", "q": "b + 20", "t": "q + 16", "a": "t + 2", "l": "a + 15", "x": 5}, "premises": {"x": 5}, "target": "g"}, "answer": {"steps": [["p", "o + 15", "o + 32"], ["o", "v + 1", "v + 33"], ["v", "n + 15", "n + 48"], ["n", "s + 15", "s + 63"], ["s", "x + 7", "x + 70"], ["x", 5, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"x": 5}, "is_reverse": true}}
| 4,211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 7; a = t + 2; t = q + 16; v = n + 15; x = 5; r = x + 2; l = a + 15; n = s + 15; q = b + 20; o = v + 1; g = p + 17; b = r + 12; p = o + 15. Given that x = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 15 to g, which gives g = o + 32.\n2. Substitute o = v + 1 to g, which gives g = v + 33.\n3. Substitute v = n + 15 to g, which gives g = n + 48.\n4. Substitute n = s + 15 to g, which gives g = s + 63.\n5. Substitute s = x + 7 to g, which gives g = x + 70.\n6. Substitute x = 5 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 4211,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 7; a = t + 2; t = q + 16; v = n + 15; x = 5; r = x + 2; l = a + 15; n = s + 15; q = b + 20; o = v + 1; g = p + 17; b = r + 12; p = o + 15. Given that x = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 16", "y": "g + 19", "m": "y + 20", "c": "m + 17", "e": "c + 15", "b": "e + 5", "t": "n + 17", "f": "t + 6", "q": "f + 17", "a": "q + 20", "o": "a + 20", "w": "o + 6", "n": 15}, "premises": {"n": 15}, "target": "b"}, "answer": {"steps": [["e", "c + 15", "c + 20"], ["c", "m + 17", "m + 37"], ["m", "y + 20", "y + 57"], ["y", "g + 19", "g + 76"], ["g", "n + 16", "n + 92"], ["n", 15, "107"]], "target_var_name": "b", "target_value": 107, "value_dict": {"n": 15}, "is_reverse": true}}
| 4,212
| 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 = q + 20; q = f + 17; n = 15; c = m + 17; y = g + 19; o = a + 20; t = n + 17; g = n + 16; f = t + 6; e = c + 15; w = o + 6; b = e + 5; m = y + 20. If n = 15, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 15 to b, which gives b = c + 20.\n2. Substitute c = m + 17 to b, which gives b = m + 37.\n3. Substitute m = y + 20 to b, which gives b = y + 57.\n4. Substitute y = g + 19 to b, which gives b = g + 76.\n5. Substitute g = n + 16 to b, which gives b = n + 92.\n6. Substitute n = 15 to b, which gives b = 107.\n\nThus, the final answer is b = \\boxed{107}.",
"index": 4212,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = q + 20; q = f + 17; n = 15; c = m + 17; y = g + 19; o = a + 20; t = n + 17; g = n + 16; f = t + 6; e = c + 15; w = o + 6; b = e + 5; m = y + 20. If n = 15, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 12", "z": "b + 11", "p": "z + 19", "q": "p + 19", "a": "q + 15", "r": "a + 7", "v": "n + 8", "w": "v + 4", "k": "w + 15", "m": "k + 19", "g": "m + 5", "c": "g + 9", "n": 19}, "premises": {"n": 19}, "target": "r"}, "answer": {"steps": [["a", "q + 15", "q + 22"], ["q", "p + 19", "p + 41"], ["p", "z + 19", "z + 60"], ["z", "b + 11", "b + 71"], ["b", "n + 12", "n + 83"], ["n", 19, "102"]], "target_var_name": "r", "target_value": 102, "value_dict": {"n": 19}, "is_reverse": true}}
| 4,213
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 12; m = k + 19; r = a + 7; g = m + 5; v = n + 8; k = w + 15; p = z + 19; q = p + 19; c = g + 9; w = v + 4; n = 19; a = q + 15; z = b + 11. If n = 19, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 15 to r, which gives r = q + 22.\n2. Substitute q = p + 19 to r, which gives r = p + 41.\n3. Substitute p = z + 19 to r, which gives r = z + 60.\n4. Substitute z = b + 11 to r, which gives r = b + 71.\n5. Substitute b = n + 12 to r, which gives r = n + 83.\n6. Substitute n = 19 to r, which gives r = 102.\n\nThus, the final answer is r = \\boxed{102}.",
"index": 4213,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 12; m = k + 19; r = a + 7; g = m + 5; v = n + 8; k = w + 15; p = z + 19; q = p + 19; c = g + 9; w = v + 4; n = 19; a = q + 15; z = b + 11. If n = 19, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 18", "x": "v + 15", "o": "x + 16", "k": "o + 11", "r": "k + 16", "l": "r + 7", "h": "n + 9", "s": "h + 10", "f": "s + 13", "i": "f + 16", "t": "i + 13", "z": "t + 6", "n": 16}, "premises": {"n": 16}, "target": "l"}, "answer": {"steps": [["r", "k + 16", "k + 23"], ["k", "o + 11", "o + 34"], ["o", "x + 16", "x + 50"], ["x", "v + 15", "v + 65"], ["v", "n + 18", "n + 83"], ["n", 16, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"n": 16}, "is_reverse": true}}
| 4,214
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 11; l = r + 7; x = v + 15; i = f + 16; s = h + 10; r = k + 16; t = i + 13; f = s + 13; h = n + 9; n = 16; o = x + 16; z = t + 6; v = n + 18. If n = 16, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 16 to l, which gives l = k + 23.\n2. Substitute k = o + 11 to l, which gives l = o + 34.\n3. Substitute o = x + 16 to l, which gives l = x + 50.\n4. Substitute x = v + 15 to l, which gives l = v + 65.\n5. Substitute v = n + 18 to l, which gives l = n + 83.\n6. Substitute n = 16 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 4214,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 11; l = r + 7; x = v + 15; i = f + 16; s = h + 10; r = k + 16; t = i + 13; f = s + 13; h = n + 9; n = 16; o = x + 16; z = t + 6; v = n + 18. If n = 16, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"n": "f + 5", "g": "n + 17", "w": "g + 11", "x": "w + 12", "s": "x + 14", "r": "s + 11", "z": "f + 15", "p": "z + 1", "o": "p + 7", "k": "o + 1", "c": "k + 2", "a": "c + 18", "f": 18}, "premises": {"f": 18}, "target": "r"}, "answer": {"steps": [["s", "x + 14", "x + 25"], ["x", "w + 12", "w + 37"], ["w", "g + 11", "g + 48"], ["g", "n + 17", "n + 65"], ["n", "f + 5", "f + 70"], ["f", 18, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"f": 18}, "is_reverse": true}}
| 4,215
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = f + 15; r = s + 11; n = f + 5; a = c + 18; k = o + 1; c = k + 2; p = z + 1; o = p + 7; s = x + 14; f = 18; w = g + 11; x = w + 12; g = n + 17. Given that f = 18, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 14 to r, which gives r = x + 25.\n2. Substitute x = w + 12 to r, which gives r = w + 37.\n3. Substitute w = g + 11 to r, which gives r = g + 48.\n4. Substitute g = n + 17 to r, which gives r = n + 65.\n5. Substitute n = f + 5 to r, which gives r = f + 70.\n6. Substitute f = 18 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 4215,
"question": "Suppose a collection of variables is related by the following definitions: z = f + 15; r = s + 11; n = f + 5; a = c + 18; k = o + 1; c = k + 2; p = z + 1; o = p + 7; s = x + 14; f = 18; w = g + 11; x = w + 12; g = n + 17. Given that f = 18, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 13", "v": "h + 18", "c": "v + 17", "y": "c + 14", "i": "y + 9", "j": "i + 19", "b": "o + 14", "m": "b + 12", "z": "m + 2", "s": "z + 9", "w": "s + 18", "p": "w + 2", "o": 17}, "premises": {"o": 17}, "target": "j"}, "answer": {"steps": [["i", "y + 9", "y + 28"], ["y", "c + 14", "c + 42"], ["c", "v + 17", "v + 59"], ["v", "h + 18", "h + 77"], ["h", "o + 13", "o + 90"], ["o", 17, "107"]], "target_var_name": "j", "target_value": 107, "value_dict": {"o": 17}, "is_reverse": true}}
| 4,216
| 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 = s + 18; s = z + 9; c = v + 17; p = w + 2; h = o + 13; y = c + 14; z = m + 2; b = o + 14; v = h + 18; i = y + 9; o = 17; m = b + 12; j = i + 19. If o = 17, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 9 to j, which gives j = y + 28.\n2. Substitute y = c + 14 to j, which gives j = c + 42.\n3. Substitute c = v + 17 to j, which gives j = v + 59.\n4. Substitute v = h + 18 to j, which gives j = h + 77.\n5. Substitute h = o + 13 to j, which gives j = o + 90.\n6. Substitute o = 17 to j, which gives j = 107.\n\nThus, the final answer is j = \\boxed{107}.",
"index": 4216,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 18; s = z + 9; c = v + 17; p = w + 2; h = o + 13; y = c + 14; z = m + 2; b = o + 14; v = h + 18; i = y + 9; o = 17; m = b + 12; j = i + 19. If o = 17, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 1", "m": "n + 9", "l": "m + 18", "t": "l + 6", "q": "t + 10", "z": "q + 19", "s": "v + 3", "p": "s + 7", "d": "p + 20", "k": "d + 1", "c": "k + 20", "h": "c + 9", "v": 4}, "premises": {"v": 4}, "target": "z"}, "answer": {"steps": [["q", "t + 10", "t + 29"], ["t", "l + 6", "l + 35"], ["l", "m + 18", "m + 53"], ["m", "n + 9", "n + 62"], ["n", "v + 1", "v + 63"], ["v", 4, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"v": 4}, "is_reverse": true}}
| 4,217
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 20; s = v + 3; l = m + 18; t = l + 6; p = s + 7; q = t + 10; h = c + 9; k = d + 1; z = q + 19; n = v + 1; c = k + 20; m = n + 9; v = 4. If v = 4, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 10 to z, which gives z = t + 29.\n2. Substitute t = l + 6 to z, which gives z = l + 35.\n3. Substitute l = m + 18 to z, which gives z = m + 53.\n4. Substitute m = n + 9 to z, which gives z = n + 62.\n5. Substitute n = v + 1 to z, which gives z = v + 63.\n6. Substitute v = 4 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 4217,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = p + 20; s = v + 3; l = m + 18; t = l + 6; p = s + 7; q = t + 10; h = c + 9; k = d + 1; z = q + 19; n = v + 1; c = k + 20; m = n + 9; v = 4. If v = 4, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 9", "f": "y + 14", "d": "f + 12", "h": "d + 7", "z": "h + 12", "c": "z + 20", "k": "l + 5", "q": "k + 15", "x": "q + 17", "t": "x + 2", "r": "t + 7", "g": "r + 7", "l": 16}, "premises": {"l": 16}, "target": "c"}, "answer": {"steps": [["z", "h + 12", "h + 32"], ["h", "d + 7", "d + 39"], ["d", "f + 12", "f + 51"], ["f", "y + 14", "y + 65"], ["y", "l + 9", "l + 74"], ["l", 16, "90"]], "target_var_name": "c", "target_value": 90, "value_dict": {"l": 16}, "is_reverse": true}}
| 4,218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 7; z = h + 12; q = k + 15; y = l + 9; x = q + 17; c = z + 20; d = f + 12; h = d + 7; f = y + 14; k = l + 5; l = 16; g = r + 7; t = x + 2. If l = 16, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 12 to c, which gives c = h + 32.\n2. Substitute h = d + 7 to c, which gives c = d + 39.\n3. Substitute d = f + 12 to c, which gives c = f + 51.\n4. Substitute f = y + 14 to c, which gives c = y + 65.\n5. Substitute y = l + 9 to c, which gives c = l + 74.\n6. Substitute l = 16 to c, which gives c = 90.\n\nThus, the final answer is c = \\boxed{90}.",
"index": 4218,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 7; z = h + 12; q = k + 15; y = l + 9; x = q + 17; c = z + 20; d = f + 12; h = d + 7; f = y + 14; k = l + 5; l = 16; g = r + 7; t = x + 2. If l = 16, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 11", "t": "n + 8", "i": "t + 1", "f": "i + 16", "g": "f + 15", "b": "g + 5", "c": "d + 13", "q": "c + 17", "o": "q + 7", "w": "o + 13", "j": "w + 1", "e": "j + 11", "d": 19}, "premises": {"d": 19}, "target": "b"}, "answer": {"steps": [["g", "f + 15", "f + 20"], ["f", "i + 16", "i + 36"], ["i", "t + 1", "t + 37"], ["t", "n + 8", "n + 45"], ["n", "d + 11", "d + 56"], ["d", 19, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"d": 19}, "is_reverse": true}}
| 4,219
| 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 + 1; d = 19; t = n + 8; w = o + 13; q = c + 17; i = t + 1; g = f + 15; n = d + 11; o = q + 7; e = j + 11; c = d + 13; f = i + 16; b = g + 5. If d = 19, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = f + 15 to b, which gives b = f + 20.\n2. Substitute f = i + 16 to b, which gives b = i + 36.\n3. Substitute i = t + 1 to b, which gives b = t + 37.\n4. Substitute t = n + 8 to b, which gives b = n + 45.\n5. Substitute n = d + 11 to b, which gives b = d + 56.\n6. Substitute d = 19 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 4219,
"question": "Consider a system of variables where each variable is defined as follows: j = w + 1; d = 19; t = n + 8; w = o + 13; q = c + 17; i = t + 1; g = f + 15; n = d + 11; o = q + 7; e = j + 11; c = d + 13; f = i + 16; b = g + 5. If d = 19, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 12", "v": "r + 11", "q": "v + 1", "i": "q + 12", "l": "i + 17", "m": "l + 13", "s": "d + 12", "b": "s + 18", "h": "b + 15", "p": "h + 4", "g": "p + 5", "w": "g + 5", "d": 12}, "premises": {"d": 12}, "target": "m"}, "answer": {"steps": [["l", "i + 17", "i + 30"], ["i", "q + 12", "q + 42"], ["q", "v + 1", "v + 43"], ["v", "r + 11", "r + 54"], ["r", "d + 12", "d + 66"], ["d", 12, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"d": 12}, "is_reverse": true}}
| 4,220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 15; r = d + 12; v = r + 11; q = v + 1; g = p + 5; i = q + 12; l = i + 17; w = g + 5; b = s + 18; d = 12; p = h + 4; s = d + 12; m = l + 13. If d = 12, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 17 to m, which gives m = i + 30.\n2. Substitute i = q + 12 to m, which gives m = q + 42.\n3. Substitute q = v + 1 to m, which gives m = v + 43.\n4. Substitute v = r + 11 to m, which gives m = r + 54.\n5. Substitute r = d + 12 to m, which gives m = d + 66.\n6. Substitute d = 12 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 4220,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 15; r = d + 12; v = r + 11; q = v + 1; g = p + 5; i = q + 12; l = i + 17; w = g + 5; b = s + 18; d = 12; p = h + 4; s = d + 12; m = l + 13. If d = 12, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 6", "n": "m + 14", "r": "n + 1", "o": "r + 1", "i": "o + 2", "l": "i + 15", "e": "h + 3", "b": "e + 16", "a": "b + 8", "w": "a + 17", "k": "w + 10", "z": "k + 18", "h": 6}, "premises": {"h": 6}, "target": "l"}, "answer": {"steps": [["i", "o + 2", "o + 17"], ["o", "r + 1", "r + 18"], ["r", "n + 1", "n + 19"], ["n", "m + 14", "m + 33"], ["m", "h + 6", "h + 39"], ["h", 6, "45"]], "target_var_name": "l", "target_value": 45, "value_dict": {"h": 6}, "is_reverse": true}}
| 4,221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 16; l = i + 15; r = n + 1; m = h + 6; z = k + 18; w = a + 17; e = h + 3; h = 6; a = b + 8; n = m + 14; k = w + 10; o = r + 1; i = o + 2. Given that h = 6, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 2 to l, which gives l = o + 17.\n2. Substitute o = r + 1 to l, which gives l = r + 18.\n3. Substitute r = n + 1 to l, which gives l = n + 19.\n4. Substitute n = m + 14 to l, which gives l = m + 33.\n5. Substitute m = h + 6 to l, which gives l = h + 39.\n6. Substitute h = 6 to l, which gives l = 45.\n\nThus, the final answer is l = \\boxed{45}.",
"index": 4221,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 16; l = i + 15; r = n + 1; m = h + 6; z = k + 18; w = a + 17; e = h + 3; h = 6; a = b + 8; n = m + 14; k = w + 10; o = r + 1; i = o + 2. Given that h = 6, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 20", "v": "h + 3", "s": "v + 13", "t": "s + 4", "j": "t + 12", "q": "j + 8", "g": "x + 20", "i": "g + 4", "w": "i + 13", "f": "w + 18", "k": "f + 4", "p": "k + 10", "x": 10}, "premises": {"x": 10}, "target": "q"}, "answer": {"steps": [["j", "t + 12", "t + 20"], ["t", "s + 4", "s + 24"], ["s", "v + 13", "v + 37"], ["v", "h + 3", "h + 40"], ["h", "x + 20", "x + 60"], ["x", 10, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"x": 10}, "is_reverse": true}}
| 4,222
| 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 = w + 18; q = j + 8; j = t + 12; g = x + 20; i = g + 4; p = k + 10; v = h + 3; h = x + 20; w = i + 13; x = 10; k = f + 4; t = s + 4; s = v + 13. If x = 10, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 12 to q, which gives q = t + 20.\n2. Substitute t = s + 4 to q, which gives q = s + 24.\n3. Substitute s = v + 13 to q, which gives q = v + 37.\n4. Substitute v = h + 3 to q, which gives q = h + 40.\n5. Substitute h = x + 20 to q, which gives q = x + 60.\n6. Substitute x = 10 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 4222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 18; q = j + 8; j = t + 12; g = x + 20; i = g + 4; p = k + 10; v = h + 3; h = x + 20; w = i + 13; x = 10; k = f + 4; t = s + 4; s = v + 13. If x = 10, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 4", "v": "m + 14", "w": "v + 8", "b": "w + 4", "j": "b + 13", "q": "j + 20", "g": "p + 6", "d": "g + 1", "o": "d + 5", "e": "o + 18", "f": "e + 10", "a": "f + 20", "p": 18}, "premises": {"p": 18}, "target": "q"}, "answer": {"steps": [["j", "b + 13", "b + 33"], ["b", "w + 4", "w + 37"], ["w", "v + 8", "v + 45"], ["v", "m + 14", "m + 59"], ["m", "p + 4", "p + 63"], ["p", 18, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"p": 18}, "is_reverse": true}}
| 4,223
| 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 = e + 10; w = v + 8; m = p + 4; b = w + 4; e = o + 18; o = d + 5; q = j + 20; v = m + 14; p = 18; g = p + 6; j = b + 13; a = f + 20; d = g + 1. If p = 18, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 13 to q, which gives q = b + 33.\n2. Substitute b = w + 4 to q, which gives q = w + 37.\n3. Substitute w = v + 8 to q, which gives q = v + 45.\n4. Substitute v = m + 14 to q, which gives q = m + 59.\n5. Substitute m = p + 4 to q, which gives q = p + 63.\n6. Substitute p = 18 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 4223,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = e + 10; w = v + 8; m = p + 4; b = w + 4; e = o + 18; o = d + 5; q = j + 20; v = m + 14; p = 18; g = p + 6; j = b + 13; a = f + 20; d = g + 1. If p = 18, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 4", "w": "f + 10", "m": "w + 7", "u": "m + 7", "z": "u + 14", "h": "z + 5", "p": "k + 8", "j": "p + 17", "t": "j + 5", "b": "t + 11", "n": "b + 13", "g": "n + 5", "k": 20}, "premises": {"k": 20}, "target": "h"}, "answer": {"steps": [["z", "u + 14", "u + 19"], ["u", "m + 7", "m + 26"], ["m", "w + 7", "w + 33"], ["w", "f + 10", "f + 43"], ["f", "k + 4", "k + 47"], ["k", 20, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"k": 20}, "is_reverse": true}}
| 4,224
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = z + 5; m = w + 7; f = k + 4; u = m + 7; t = j + 5; b = t + 11; w = f + 10; k = 20; p = k + 8; n = b + 13; j = p + 17; g = n + 5; z = u + 14. If k = 20, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 14 to h, which gives h = u + 19.\n2. Substitute u = m + 7 to h, which gives h = m + 26.\n3. Substitute m = w + 7 to h, which gives h = w + 33.\n4. Substitute w = f + 10 to h, which gives h = f + 43.\n5. Substitute f = k + 4 to h, which gives h = k + 47.\n6. Substitute k = 20 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 4224,
"question": "Consider a system of variables where each variable is defined as follows: h = z + 5; m = w + 7; f = k + 4; u = m + 7; t = j + 5; b = t + 11; w = f + 10; k = 20; p = k + 8; n = b + 13; j = p + 17; g = n + 5; z = u + 14. If k = 20, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 11", "d": "o + 11", "k": "d + 16", "g": "k + 11", "l": "g + 7", "t": "l + 12", "y": "x + 12", "a": "y + 20", "h": "a + 9", "z": "h + 15", "q": "z + 6", "b": "q + 17", "x": 4}, "premises": {"x": 4}, "target": "t"}, "answer": {"steps": [["l", "g + 7", "g + 19"], ["g", "k + 11", "k + 30"], ["k", "d + 16", "d + 46"], ["d", "o + 11", "o + 57"], ["o", "x + 11", "x + 68"], ["x", 4, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"x": 4}, "is_reverse": true}}
| 4,225
| 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 = z + 6; o = x + 11; a = y + 20; b = q + 17; x = 4; d = o + 11; z = h + 15; y = x + 12; k = d + 16; l = g + 7; g = k + 11; t = l + 12; h = a + 9. If x = 4, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 7 to t, which gives t = g + 19.\n2. Substitute g = k + 11 to t, which gives t = k + 30.\n3. Substitute k = d + 16 to t, which gives t = d + 46.\n4. Substitute d = o + 11 to t, which gives t = o + 57.\n5. Substitute o = x + 11 to t, which gives t = x + 68.\n6. Substitute x = 4 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 4225,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = z + 6; o = x + 11; a = y + 20; b = q + 17; x = 4; d = o + 11; z = h + 15; y = x + 12; k = d + 16; l = g + 7; g = k + 11; t = l + 12; h = a + 9. If x = 4, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 18", "n": "a + 17", "f": "n + 6", "c": "f + 18", "h": "c + 5", "z": "h + 9", "q": "x + 12", "p": "q + 10", "l": "p + 18", "g": "l + 10", "v": "g + 10", "d": "v + 3", "x": 14}, "premises": {"x": 14}, "target": "z"}, "answer": {"steps": [["h", "c + 5", "c + 14"], ["c", "f + 18", "f + 32"], ["f", "n + 6", "n + 38"], ["n", "a + 17", "a + 55"], ["a", "x + 18", "x + 73"], ["x", 14, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"x": 14}, "is_reverse": true}}
| 4,226
| 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 = q + 10; n = a + 17; a = x + 18; l = p + 18; v = g + 10; c = f + 18; g = l + 10; q = x + 12; z = h + 9; h = c + 5; f = n + 6; d = v + 3; x = 14. If x = 14, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 5 to z, which gives z = c + 14.\n2. Substitute c = f + 18 to z, which gives z = f + 32.\n3. Substitute f = n + 6 to z, which gives z = n + 38.\n4. Substitute n = a + 17 to z, which gives z = a + 55.\n5. Substitute a = x + 18 to z, which gives z = x + 73.\n6. Substitute x = 14 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 4226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = q + 10; n = a + 17; a = x + 18; l = p + 18; v = g + 10; c = f + 18; g = l + 10; q = x + 12; z = h + 9; h = c + 5; f = n + 6; d = v + 3; x = 14. If x = 14, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 8", "y": "q + 2", "m": "y + 19", "n": "m + 18", "b": "n + 14", "l": "b + 20", "r": "p + 18", "h": "r + 8", "w": "h + 6", "j": "w + 14", "g": "j + 1", "k": "g + 1", "p": 15}, "premises": {"p": 15}, "target": "l"}, "answer": {"steps": [["b", "n + 14", "n + 34"], ["n", "m + 18", "m + 52"], ["m", "y + 19", "y + 71"], ["y", "q + 2", "q + 73"], ["q", "p + 8", "p + 81"], ["p", 15, "96"]], "target_var_name": "l", "target_value": 96, "value_dict": {"p": 15}, "is_reverse": true}}
| 4,227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = p + 18; n = m + 18; b = n + 14; m = y + 19; w = h + 6; j = w + 14; g = j + 1; h = r + 8; q = p + 8; p = 15; k = g + 1; l = b + 20; y = q + 2. If p = 15, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 14 to l, which gives l = n + 34.\n2. Substitute n = m + 18 to l, which gives l = m + 52.\n3. Substitute m = y + 19 to l, which gives l = y + 71.\n4. Substitute y = q + 2 to l, which gives l = q + 73.\n5. Substitute q = p + 8 to l, which gives l = p + 81.\n6. Substitute p = 15 to l, which gives l = 96.\n\nThus, the final answer is l = \\boxed{96}.",
"index": 4227,
"question": "Consider a system of variables where each variable is defined as follows: r = p + 18; n = m + 18; b = n + 14; m = y + 19; w = h + 6; j = w + 14; g = j + 1; h = r + 8; q = p + 8; p = 15; k = g + 1; l = b + 20; y = q + 2. If p = 15, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 12", "k": "m + 4", "v": "k + 19", "q": "v + 18", "l": "q + 15", "z": "l + 6", "x": "r + 12", "w": "x + 17", "h": "w + 4", "i": "h + 18", "u": "i + 12", "e": "u + 11", "r": 1}, "premises": {"r": 1}, "target": "z"}, "answer": {"steps": [["l", "q + 15", "q + 21"], ["q", "v + 18", "v + 39"], ["v", "k + 19", "k + 58"], ["k", "m + 4", "m + 62"], ["m", "r + 12", "r + 74"], ["r", 1, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"r": 1}, "is_reverse": true}}
| 4,228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 12; i = h + 18; m = r + 12; q = v + 18; l = q + 15; u = i + 12; w = x + 17; h = w + 4; z = l + 6; v = k + 19; r = 1; e = u + 11; k = m + 4. If r = 1, determine 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 l = q + 15 to z, which gives z = q + 21.\n2. Substitute q = v + 18 to z, which gives z = v + 39.\n3. Substitute v = k + 19 to z, which gives z = k + 58.\n4. Substitute k = m + 4 to z, which gives z = m + 62.\n5. Substitute m = r + 12 to z, which gives z = r + 74.\n6. Substitute r = 1 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 4228,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 12; i = h + 18; m = r + 12; q = v + 18; l = q + 15; u = i + 12; w = x + 17; h = w + 4; z = l + 6; v = k + 19; r = 1; e = u + 11; k = m + 4. If r = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 9", "k": "q + 10", "w": "k + 20", "b": "w + 12", "r": "b + 16", "f": "r + 11", "x": "p + 18", "s": "x + 9", "n": "s + 7", "j": "n + 17", "z": "j + 7", "c": "z + 17", "p": 12}, "premises": {"p": 12}, "target": "f"}, "answer": {"steps": [["r", "b + 16", "b + 27"], ["b", "w + 12", "w + 39"], ["w", "k + 20", "k + 59"], ["k", "q + 10", "q + 69"], ["q", "p + 9", "p + 78"], ["p", 12, "90"]], "target_var_name": "f", "target_value": 90, "value_dict": {"p": 12}, "is_reverse": true}}
| 4,229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 11; k = q + 10; r = b + 16; j = n + 17; b = w + 12; n = s + 7; c = z + 17; p = 12; z = j + 7; w = k + 20; q = p + 9; s = x + 9; x = p + 18. Given that p = 12, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 16 to f, which gives f = b + 27.\n2. Substitute b = w + 12 to f, which gives f = w + 39.\n3. Substitute w = k + 20 to f, which gives f = k + 59.\n4. Substitute k = q + 10 to f, which gives f = q + 69.\n5. Substitute q = p + 9 to f, which gives f = p + 78.\n6. Substitute p = 12 to f, which gives f = 90.\n\nThus, the final answer is f = \\boxed{90}.",
"index": 4229,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 11; k = q + 10; r = b + 16; j = n + 17; b = w + 12; n = s + 7; c = z + 17; p = 12; z = j + 7; w = k + 20; q = p + 9; s = x + 9; x = p + 18. Given that p = 12, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"g": "d + 18", "s": "g + 7", "a": "s + 8", "n": "a + 3", "q": "n + 16", "f": "q + 11", "l": "d + 10", "p": "l + 13", "k": "p + 7", "z": "k + 16", "v": "z + 17", "r": "v + 9", "d": 8}, "premises": {"d": 8}, "target": "f"}, "answer": {"steps": [["q", "n + 16", "n + 27"], ["n", "a + 3", "a + 30"], ["a", "s + 8", "s + 38"], ["s", "g + 7", "g + 45"], ["g", "d + 18", "d + 63"], ["d", 8, "71"]], "target_var_name": "f", "target_value": 71, "value_dict": {"d": 8}, "is_reverse": true}}
| 4,230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = v + 9; l = d + 10; n = a + 3; a = s + 8; d = 8; g = d + 18; v = z + 17; z = k + 16; s = g + 7; p = l + 13; q = n + 16; k = p + 7; f = q + 11. Given that d = 8, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 16 to f, which gives f = n + 27.\n2. Substitute n = a + 3 to f, which gives f = a + 30.\n3. Substitute a = s + 8 to f, which gives f = s + 38.\n4. Substitute s = g + 7 to f, which gives f = g + 45.\n5. Substitute g = d + 18 to f, which gives f = d + 63.\n6. Substitute d = 8 to f, which gives f = 71.\n\nThus, the final answer is f = \\boxed{71}.",
"index": 4230,
"question": "Suppose a collection of variables is related by the following definitions: r = v + 9; l = d + 10; n = a + 3; a = s + 8; d = 8; g = d + 18; v = z + 17; z = k + 16; s = g + 7; p = l + 13; q = n + 16; k = p + 7; f = q + 11. Given that d = 8, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 1", "l": "m + 6", "e": "l + 9", "k": "e + 17", "s": "k + 17", "z": "s + 3", "a": "j + 17", "p": "a + 8", "q": "p + 9", "i": "q + 13", "u": "i + 15", "x": "u + 10", "j": 5}, "premises": {"j": 5}, "target": "z"}, "answer": {"steps": [["s", "k + 17", "k + 20"], ["k", "e + 17", "e + 37"], ["e", "l + 9", "l + 46"], ["l", "m + 6", "m + 52"], ["m", "j + 1", "j + 53"], ["j", 5, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"j": 5}, "is_reverse": true}}
| 4,231
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 17; a = j + 17; x = u + 10; u = i + 15; s = k + 17; m = j + 1; l = m + 6; q = p + 9; z = s + 3; p = a + 8; j = 5; e = l + 9; i = q + 13. If j = 5, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 17 to z, which gives z = k + 20.\n2. Substitute k = e + 17 to z, which gives z = e + 37.\n3. Substitute e = l + 9 to z, which gives z = l + 46.\n4. Substitute l = m + 6 to z, which gives z = m + 52.\n5. Substitute m = j + 1 to z, which gives z = j + 53.\n6. Substitute j = 5 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 4231,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 17; a = j + 17; x = u + 10; u = i + 15; s = k + 17; m = j + 1; l = m + 6; q = p + 9; z = s + 3; p = a + 8; j = 5; e = l + 9; i = q + 13. If j = 5, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 7", "a": "t + 7", "w": "a + 19", "z": "w + 11", "u": "z + 6", "k": "u + 5", "s": "y + 17", "q": "s + 3", "d": "q + 13", "c": "d + 15", "l": "c + 8", "v": "l + 19", "y": 8}, "premises": {"y": 8}, "target": "k"}, "answer": {"steps": [["u", "z + 6", "z + 11"], ["z", "w + 11", "w + 22"], ["w", "a + 19", "a + 41"], ["a", "t + 7", "t + 48"], ["t", "y + 7", "y + 55"], ["y", 8, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"y": 8}, "is_reverse": true}}
| 4,232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = d + 15; q = s + 3; s = y + 17; y = 8; k = u + 5; d = q + 13; a = t + 7; t = y + 7; u = z + 6; w = a + 19; l = c + 8; v = l + 19; z = w + 11. Given that y = 8, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 6 to k, which gives k = z + 11.\n2. Substitute z = w + 11 to k, which gives k = w + 22.\n3. Substitute w = a + 19 to k, which gives k = a + 41.\n4. Substitute a = t + 7 to k, which gives k = t + 48.\n5. Substitute t = y + 7 to k, which gives k = y + 55.\n6. Substitute y = 8 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 4232,
"question": "Suppose a collection of variables is related by the following definitions: c = d + 15; q = s + 3; s = y + 17; y = 8; k = u + 5; d = q + 13; a = t + 7; t = y + 7; u = z + 6; w = a + 19; l = c + 8; v = l + 19; z = w + 11. Given that y = 8, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 1", "v": "i + 8", "s": "v + 16", "b": "s + 9", "c": "b + 10", "x": "c + 6", "a": "g + 8", "o": "a + 15", "j": "o + 18", "n": "j + 17", "m": "n + 16", "p": "m + 5", "g": 17}, "premises": {"g": 17}, "target": "x"}, "answer": {"steps": [["c", "b + 10", "b + 16"], ["b", "s + 9", "s + 25"], ["s", "v + 16", "v + 41"], ["v", "i + 8", "i + 49"], ["i", "g + 1", "g + 50"], ["g", 17, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"g": 17}, "is_reverse": true}}
| 4,233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 8; v = i + 8; g = 17; n = j + 17; c = b + 10; o = a + 15; j = o + 18; x = c + 6; i = g + 1; m = n + 16; p = m + 5; s = v + 16; b = s + 9. If g = 17, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 10 to x, which gives x = b + 16.\n2. Substitute b = s + 9 to x, which gives x = s + 25.\n3. Substitute s = v + 16 to x, which gives x = v + 41.\n4. Substitute v = i + 8 to x, which gives x = i + 49.\n5. Substitute i = g + 1 to x, which gives x = g + 50.\n6. Substitute g = 17 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 4233,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 8; v = i + 8; g = 17; n = j + 17; c = b + 10; o = a + 15; j = o + 18; x = c + 6; i = g + 1; m = n + 16; p = m + 5; s = v + 16; b = s + 9. If g = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 3", "i": "l + 12", "w": "i + 20", "s": "w + 11", "e": "s + 19", "p": "e + 17", "z": "v + 19", "m": "z + 19", "f": "m + 17", "b": "f + 6", "u": "b + 17", "o": "u + 10", "v": 13}, "premises": {"v": 13}, "target": "p"}, "answer": {"steps": [["e", "s + 19", "s + 36"], ["s", "w + 11", "w + 47"], ["w", "i + 20", "i + 67"], ["i", "l + 12", "l + 79"], ["l", "v + 3", "v + 82"], ["v", 13, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"v": 13}, "is_reverse": true}}
| 4,234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = z + 19; i = l + 12; l = v + 3; e = s + 19; o = u + 10; v = 13; f = m + 17; z = v + 19; p = e + 17; s = w + 11; w = i + 20; u = b + 17; b = f + 6. If v = 13, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 19 to p, which gives p = s + 36.\n2. Substitute s = w + 11 to p, which gives p = w + 47.\n3. Substitute w = i + 20 to p, which gives p = i + 67.\n4. Substitute i = l + 12 to p, which gives p = l + 79.\n5. Substitute l = v + 3 to p, which gives p = v + 82.\n6. Substitute v = 13 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 4234,
"question": "Consider a system of variables where each variable is defined as follows: m = z + 19; i = l + 12; l = v + 3; e = s + 19; o = u + 10; v = 13; f = m + 17; z = v + 19; p = e + 17; s = w + 11; w = i + 20; u = b + 17; b = f + 6. If v = 13, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"w": "f + 3", "e": "w + 9", "i": "e + 10", "l": "i + 5", "q": "l + 4", "c": "q + 18", "n": "f + 19", "u": "n + 2", "v": "u + 7", "z": "v + 18", "a": "z + 16", "p": "a + 8", "f": 2}, "premises": {"f": 2}, "target": "c"}, "answer": {"steps": [["q", "l + 4", "l + 22"], ["l", "i + 5", "i + 27"], ["i", "e + 10", "e + 37"], ["e", "w + 9", "w + 46"], ["w", "f + 3", "f + 49"], ["f", 2, "51"]], "target_var_name": "c", "target_value": 51, "value_dict": {"f": 2}, "is_reverse": true}}
| 4,235
| 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 = l + 4; a = z + 16; u = n + 2; f = 2; v = u + 7; z = v + 18; c = q + 18; w = f + 3; i = e + 10; l = i + 5; e = w + 9; n = f + 19; p = a + 8. If f = 2, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 4 to c, which gives c = l + 22.\n2. Substitute l = i + 5 to c, which gives c = i + 27.\n3. Substitute i = e + 10 to c, which gives c = e + 37.\n4. Substitute e = w + 9 to c, which gives c = w + 46.\n5. Substitute w = f + 3 to c, which gives c = f + 49.\n6. Substitute f = 2 to c, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 4235,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = l + 4; a = z + 16; u = n + 2; f = 2; v = u + 7; z = v + 18; c = q + 18; w = f + 3; i = e + 10; l = i + 5; e = w + 9; n = f + 19; p = a + 8. If f = 2, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"f": "p + 7", "d": "f + 18", "l": "d + 1", "o": "l + 11", "a": "o + 6", "c": "a + 5", "v": "p + 17", "h": "v + 1", "n": "h + 17", "m": "n + 7", "q": "m + 9", "t": "q + 4", "p": 19}, "premises": {"p": 19}, "target": "c"}, "answer": {"steps": [["a", "o + 6", "o + 11"], ["o", "l + 11", "l + 22"], ["l", "d + 1", "d + 23"], ["d", "f + 18", "f + 41"], ["f", "p + 7", "p + 48"], ["p", 19, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"p": 19}, "is_reverse": true}}
| 4,236
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 11; h = v + 1; l = d + 1; t = q + 4; p = 19; v = p + 17; f = p + 7; q = m + 9; a = o + 6; c = a + 5; m = n + 7; n = h + 17; d = f + 18. Given that p = 19, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 6 to c, which gives c = o + 11.\n2. Substitute o = l + 11 to c, which gives c = l + 22.\n3. Substitute l = d + 1 to c, which gives c = d + 23.\n4. Substitute d = f + 18 to c, which gives c = f + 41.\n5. Substitute f = p + 7 to c, which gives c = p + 48.\n6. Substitute p = 19 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 4236,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 11; h = v + 1; l = d + 1; t = q + 4; p = 19; v = p + 17; f = p + 7; q = m + 9; a = o + 6; c = a + 5; m = n + 7; n = h + 17; d = f + 18. Given that p = 19, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 8", "y": "g + 7", "w": "y + 16", "f": "w + 6", "c": "f + 4", "a": "c + 17", "b": "r + 1", "l": "b + 9", "o": "l + 19", "n": "o + 15", "t": "n + 3", "v": "t + 5", "r": 10}, "premises": {"r": 10}, "target": "a"}, "answer": {"steps": [["c", "f + 4", "f + 21"], ["f", "w + 6", "w + 27"], ["w", "y + 16", "y + 43"], ["y", "g + 7", "g + 50"], ["g", "r + 8", "r + 58"], ["r", 10, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"r": 10}, "is_reverse": true}}
| 4,237
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 19; a = c + 17; c = f + 4; b = r + 1; t = n + 3; g = r + 8; f = w + 6; y = g + 7; v = t + 5; l = b + 9; w = y + 16; n = o + 15; r = 10. Given that r = 10, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 4 to a, which gives a = f + 21.\n2. Substitute f = w + 6 to a, which gives a = w + 27.\n3. Substitute w = y + 16 to a, which gives a = y + 43.\n4. Substitute y = g + 7 to a, which gives a = g + 50.\n5. Substitute g = r + 8 to a, which gives a = r + 58.\n6. Substitute r = 10 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 4237,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 19; a = c + 17; c = f + 4; b = r + 1; t = n + 3; g = r + 8; f = w + 6; y = g + 7; v = t + 5; l = b + 9; w = y + 16; n = o + 15; r = 10. Given that r = 10, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 5", "a": "m + 12", "y": "a + 3", "w": "y + 10", "o": "w + 1", "t": "o + 3", "d": "k + 19", "x": "d + 7", "r": "x + 4", "s": "r + 6", "f": "s + 20", "z": "f + 18", "k": 6}, "premises": {"k": 6}, "target": "t"}, "answer": {"steps": [["o", "w + 1", "w + 4"], ["w", "y + 10", "y + 14"], ["y", "a + 3", "a + 17"], ["a", "m + 12", "m + 29"], ["m", "k + 5", "k + 34"], ["k", 6, "40"]], "target_var_name": "t", "target_value": 40, "value_dict": {"k": 6}, "is_reverse": true}}
| 4,238
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = y + 10; z = f + 18; t = o + 3; s = r + 6; m = k + 5; y = a + 3; a = m + 12; r = x + 4; d = k + 19; o = w + 1; k = 6; x = d + 7; f = s + 20. Given that k = 6, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 1 to t, which gives t = w + 4.\n2. Substitute w = y + 10 to t, which gives t = y + 14.\n3. Substitute y = a + 3 to t, which gives t = a + 17.\n4. Substitute a = m + 12 to t, which gives t = m + 29.\n5. Substitute m = k + 5 to t, which gives t = k + 34.\n6. Substitute k = 6 to t, which gives t = 40.\n\nThus, the final answer is t = \\boxed{40}.",
"index": 4238,
"question": "Suppose a collection of variables is related by the following definitions: w = y + 10; z = f + 18; t = o + 3; s = r + 6; m = k + 5; y = a + 3; a = m + 12; r = x + 4; d = k + 19; o = w + 1; k = 6; x = d + 7; f = s + 20. Given that k = 6, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 14", "v": "y + 16", "a": "v + 5", "r": "a + 11", "c": "r + 11", "g": "c + 1", "h": "s + 6", "b": "h + 16", "q": "b + 11", "f": "q + 16", "e": "f + 3", "i": "e + 1", "s": 18}, "premises": {"s": 18}, "target": "g"}, "answer": {"steps": [["c", "r + 11", "r + 12"], ["r", "a + 11", "a + 23"], ["a", "v + 5", "v + 28"], ["v", "y + 16", "y + 44"], ["y", "s + 14", "s + 58"], ["s", 18, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"s": 18}, "is_reverse": true}}
| 4,239
| 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 = a + 11; s = 18; q = b + 11; i = e + 1; f = q + 16; e = f + 3; b = h + 16; h = s + 6; y = s + 14; c = r + 11; v = y + 16; a = v + 5; g = c + 1. If s = 18, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 11 to g, which gives g = r + 12.\n2. Substitute r = a + 11 to g, which gives g = a + 23.\n3. Substitute a = v + 5 to g, which gives g = v + 28.\n4. Substitute v = y + 16 to g, which gives g = y + 44.\n5. Substitute y = s + 14 to g, which gives g = s + 58.\n6. Substitute s = 18 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 4239,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = a + 11; s = 18; q = b + 11; i = e + 1; f = q + 16; e = f + 3; b = h + 16; h = s + 6; y = s + 14; c = r + 11; v = y + 16; a = v + 5; g = c + 1. If s = 18, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 9", "j": "c + 16", "q": "j + 12", "x": "q + 9", "v": "x + 17", "r": "v + 17", "w": "d + 14", "n": "w + 20", "g": "n + 18", "p": "g + 19", "o": "p + 4", "u": "o + 16", "d": 11}, "premises": {"d": 11}, "target": "r"}, "answer": {"steps": [["v", "x + 17", "x + 34"], ["x", "q + 9", "q + 43"], ["q", "j + 12", "j + 55"], ["j", "c + 16", "c + 71"], ["c", "d + 9", "d + 80"], ["d", 11, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"d": 11}, "is_reverse": true}}
| 4,240
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = c + 16; o = p + 4; w = d + 14; r = v + 17; x = q + 9; c = d + 9; v = x + 17; q = j + 12; d = 11; u = o + 16; g = n + 18; p = g + 19; n = w + 20. If d = 11, determine 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 v = x + 17 to r, which gives r = x + 34.\n2. Substitute x = q + 9 to r, which gives r = q + 43.\n3. Substitute q = j + 12 to r, which gives r = j + 55.\n4. Substitute j = c + 16 to r, which gives r = c + 71.\n5. Substitute c = d + 9 to r, which gives r = d + 80.\n6. Substitute d = 11 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 4240,
"question": "Consider a system of variables where each variable is defined as follows: j = c + 16; o = p + 4; w = d + 14; r = v + 17; x = q + 9; c = d + 9; v = x + 17; q = j + 12; d = 11; u = o + 16; g = n + 18; p = g + 19; n = w + 20. If d = 11, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"d": "f + 12", "n": "d + 2", "x": "n + 8", "y": "x + 10", "z": "y + 3", "a": "z + 7", "l": "f + 9", "e": "l + 1", "m": "e + 17", "r": "m + 4", "p": "r + 19", "u": "p + 18", "f": 2}, "premises": {"f": 2}, "target": "a"}, "answer": {"steps": [["z", "y + 3", "y + 10"], ["y", "x + 10", "x + 20"], ["x", "n + 8", "n + 28"], ["n", "d + 2", "d + 30"], ["d", "f + 12", "f + 42"], ["f", 2, "44"]], "target_var_name": "a", "target_value": 44, "value_dict": {"f": 2}, "is_reverse": true}}
| 4,241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 17; l = f + 9; n = d + 2; a = z + 7; d = f + 12; u = p + 18; e = l + 1; r = m + 4; f = 2; p = r + 19; z = y + 3; y = x + 10; x = n + 8. If f = 2, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 3 to a, which gives a = y + 10.\n2. Substitute y = x + 10 to a, which gives a = x + 20.\n3. Substitute x = n + 8 to a, which gives a = n + 28.\n4. Substitute n = d + 2 to a, which gives a = d + 30.\n5. Substitute d = f + 12 to a, which gives a = f + 42.\n6. Substitute f = 2 to a, which gives a = 44.\n\nThus, the final answer is a = \\boxed{44}.",
"index": 4241,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 17; l = f + 9; n = d + 2; a = z + 7; d = f + 12; u = p + 18; e = l + 1; r = m + 4; f = 2; p = r + 19; z = y + 3; y = x + 10; x = n + 8. If f = 2, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"f": "b + 12", "s": "f + 9", "c": "s + 19", "l": "c + 3", "m": "l + 8", "a": "m + 2", "o": "b + 9", "y": "o + 2", "t": "y + 5", "n": "t + 1", "h": "n + 15", "g": "h + 11", "b": 11}, "premises": {"b": 11}, "target": "a"}, "answer": {"steps": [["m", "l + 8", "l + 10"], ["l", "c + 3", "c + 13"], ["c", "s + 19", "s + 32"], ["s", "f + 9", "f + 41"], ["f", "b + 12", "b + 53"], ["b", 11, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"b": 11}, "is_reverse": true}}
| 4,242
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 9; s = f + 9; g = h + 11; t = y + 5; b = 11; h = n + 15; m = l + 8; y = o + 2; a = m + 2; n = t + 1; f = b + 12; l = c + 3; c = s + 19. Given that b = 11, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 8 to a, which gives a = l + 10.\n2. Substitute l = c + 3 to a, which gives a = c + 13.\n3. Substitute c = s + 19 to a, which gives a = s + 32.\n4. Substitute s = f + 9 to a, which gives a = f + 41.\n5. Substitute f = b + 12 to a, which gives a = b + 53.\n6. Substitute b = 11 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 4242,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 9; s = f + 9; g = h + 11; t = y + 5; b = 11; h = n + 15; m = l + 8; y = o + 2; a = m + 2; n = t + 1; f = b + 12; l = c + 3; c = s + 19. Given that b = 11, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 19", "c": "v + 10", "n": "c + 5", "x": "n + 13", "h": "x + 2", "t": "h + 17", "o": "f + 12", "p": "o + 2", "r": "p + 18", "i": "r + 9", "s": "i + 13", "w": "s + 17", "f": 8}, "premises": {"f": 8}, "target": "t"}, "answer": {"steps": [["h", "x + 2", "x + 19"], ["x", "n + 13", "n + 32"], ["n", "c + 5", "c + 37"], ["c", "v + 10", "v + 47"], ["v", "f + 19", "f + 66"], ["f", 8, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"f": 8}, "is_reverse": true}}
| 4,243
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 13; w = s + 17; p = o + 2; h = x + 2; r = p + 18; i = r + 9; o = f + 12; v = f + 19; n = c + 5; c = v + 10; x = n + 13; f = 8; t = h + 17. If f = 8, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 2 to t, which gives t = x + 19.\n2. Substitute x = n + 13 to t, which gives t = n + 32.\n3. Substitute n = c + 5 to t, which gives t = c + 37.\n4. Substitute c = v + 10 to t, which gives t = v + 47.\n5. Substitute v = f + 19 to t, which gives t = f + 66.\n6. Substitute f = 8 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 4243,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 13; w = s + 17; p = o + 2; h = x + 2; r = p + 18; i = r + 9; o = f + 12; v = f + 19; n = c + 5; c = v + 10; x = n + 13; f = 8; t = h + 17. If f = 8, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 18", "t": "b + 8", "p": "t + 13", "n": "p + 12", "w": "n + 17", "y": "w + 20", "a": "o + 5", "x": "a + 9", "f": "x + 13", "q": "f + 17", "h": "q + 11", "e": "h + 7", "o": 19}, "premises": {"o": 19}, "target": "y"}, "answer": {"steps": [["w", "n + 17", "n + 37"], ["n", "p + 12", "p + 49"], ["p", "t + 13", "t + 62"], ["t", "b + 8", "b + 70"], ["b", "o + 18", "o + 88"], ["o", 19, "107"]], "target_var_name": "y", "target_value": 107, "value_dict": {"o": 19}, "is_reverse": true}}
| 4,244
| 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 = b + 8; b = o + 18; p = t + 13; a = o + 5; w = n + 17; o = 19; e = h + 7; f = x + 13; q = f + 17; x = a + 9; h = q + 11; y = w + 20; n = p + 12. If o = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 17 to y, which gives y = n + 37.\n2. Substitute n = p + 12 to y, which gives y = p + 49.\n3. Substitute p = t + 13 to y, which gives y = t + 62.\n4. Substitute t = b + 8 to y, which gives y = b + 70.\n5. Substitute b = o + 18 to y, which gives y = o + 88.\n6. Substitute o = 19 to y, which gives y = 107.\n\nThus, the final answer is y = \\boxed{107}.",
"index": 4244,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 8; b = o + 18; p = t + 13; a = o + 5; w = n + 17; o = 19; e = h + 7; f = x + 13; q = f + 17; x = a + 9; h = q + 11; y = w + 20; n = p + 12. If o = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 12", "l": "p + 10", "a": "l + 3", "e": "a + 7", "x": "e + 18", "f": "x + 8", "v": "s + 13", "d": "v + 9", "g": "d + 1", "o": "g + 8", "w": "o + 3", "i": "w + 12", "s": 19}, "premises": {"s": 19}, "target": "f"}, "answer": {"steps": [["x", "e + 18", "e + 26"], ["e", "a + 7", "a + 33"], ["a", "l + 3", "l + 36"], ["l", "p + 10", "p + 46"], ["p", "s + 12", "s + 58"], ["s", 19, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"s": 19}, "is_reverse": true}}
| 4,245
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 18; w = o + 3; i = w + 12; e = a + 7; g = d + 1; o = g + 8; s = 19; l = p + 10; f = x + 8; a = l + 3; p = s + 12; d = v + 9; v = s + 13. If s = 19, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 18 to f, which gives f = e + 26.\n2. Substitute e = a + 7 to f, which gives f = a + 33.\n3. Substitute a = l + 3 to f, which gives f = l + 36.\n4. Substitute l = p + 10 to f, which gives f = p + 46.\n5. Substitute p = s + 12 to f, which gives f = s + 58.\n6. Substitute s = 19 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 4245,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 18; w = o + 3; i = w + 12; e = a + 7; g = d + 1; o = g + 8; s = 19; l = p + 10; f = x + 8; a = l + 3; p = s + 12; d = v + 9; v = s + 13. If s = 19, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"y": "x + 2", "j": "y + 3", "w": "j + 20", "p": "w + 8", "o": "p + 13", "m": "o + 7", "s": "x + 9", "h": "s + 20", "a": "h + 6", "t": "a + 3", "c": "t + 15", "n": "c + 16", "x": 11}, "premises": {"x": 11}, "target": "m"}, "answer": {"steps": [["o", "p + 13", "p + 20"], ["p", "w + 8", "w + 28"], ["w", "j + 20", "j + 48"], ["j", "y + 3", "y + 51"], ["y", "x + 2", "x + 53"], ["x", 11, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"x": 11}, "is_reverse": true}}
| 4,246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = w + 8; c = t + 15; o = p + 13; w = j + 20; n = c + 16; m = o + 7; y = x + 2; j = y + 3; t = a + 3; a = h + 6; s = x + 9; h = s + 20; x = 11. Given that x = 11, find 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 o = p + 13 to m, which gives m = p + 20.\n2. Substitute p = w + 8 to m, which gives m = w + 28.\n3. Substitute w = j + 20 to m, which gives m = j + 48.\n4. Substitute j = y + 3 to m, which gives m = y + 51.\n5. Substitute y = x + 2 to m, which gives m = x + 53.\n6. Substitute x = 11 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 4246,
"question": "Suppose a collection of variables is related by the following definitions: p = w + 8; c = t + 15; o = p + 13; w = j + 20; n = c + 16; m = o + 7; y = x + 2; j = y + 3; t = a + 3; a = h + 6; s = x + 9; h = s + 20; x = 11. Given that x = 11, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 17", "b": "l + 2", "t": "b + 1", "f": "t + 2", "d": "f + 20", "e": "d + 1", "q": "w + 2", "k": "q + 11", "s": "k + 5", "x": "s + 12", "h": "x + 6", "z": "h + 17", "w": 6}, "premises": {"w": 6}, "target": "e"}, "answer": {"steps": [["d", "f + 20", "f + 21"], ["f", "t + 2", "t + 23"], ["t", "b + 1", "b + 24"], ["b", "l + 2", "l + 26"], ["l", "w + 17", "w + 43"], ["w", 6, "49"]], "target_var_name": "e", "target_value": 49, "value_dict": {"w": 6}, "is_reverse": true}}
| 4,247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 5; f = t + 2; z = h + 17; l = w + 17; t = b + 1; w = 6; b = l + 2; k = q + 11; h = x + 6; d = f + 20; e = d + 1; x = s + 12; q = w + 2. If w = 6, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 20 to e, which gives e = f + 21.\n2. Substitute f = t + 2 to e, which gives e = t + 23.\n3. Substitute t = b + 1 to e, which gives e = b + 24.\n4. Substitute b = l + 2 to e, which gives e = l + 26.\n5. Substitute l = w + 17 to e, which gives e = w + 43.\n6. Substitute w = 6 to e, which gives e = 49.\n\nThus, the final answer is e = \\boxed{49}.",
"index": 4247,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 5; f = t + 2; z = h + 17; l = w + 17; t = b + 1; w = 6; b = l + 2; k = q + 11; h = x + 6; d = f + 20; e = d + 1; x = s + 12; q = w + 2. If w = 6, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "m + 12", "n": "r + 4", "e": "n + 15", "o": "e + 4", "v": "o + 11", "d": "v + 11", "s": "m + 14", "t": "s + 17", "b": "t + 11", "f": "b + 4", "a": "f + 19", "q": "a + 19", "m": 6}, "premises": {"m": 6}, "target": "d"}, "answer": {"steps": [["v", "o + 11", "o + 22"], ["o", "e + 4", "e + 26"], ["e", "n + 15", "n + 41"], ["n", "r + 4", "r + 45"], ["r", "m + 12", "m + 57"], ["m", 6, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"m": 6}, "is_reverse": true}}
| 4,248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 12; b = t + 11; v = o + 11; f = b + 4; q = a + 19; o = e + 4; s = m + 14; a = f + 19; t = s + 17; n = r + 4; e = n + 15; m = 6; d = v + 11. Given that m = 6, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 11 to d, which gives d = o + 22.\n2. Substitute o = e + 4 to d, which gives d = e + 26.\n3. Substitute e = n + 15 to d, which gives d = n + 41.\n4. Substitute n = r + 4 to d, which gives d = r + 45.\n5. Substitute r = m + 12 to d, which gives d = m + 57.\n6. Substitute m = 6 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 4248,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 12; b = t + 11; v = o + 11; f = b + 4; q = a + 19; o = e + 4; s = m + 14; a = f + 19; t = s + 17; n = r + 4; e = n + 15; m = 6; d = v + 11. Given that m = 6, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 16", "f": "i + 11", "x": "f + 1", "h": "x + 11", "n": "h + 18", "t": "n + 18", "k": "w + 4", "q": "k + 19", "p": "q + 4", "j": "p + 11", "y": "j + 20", "r": "y + 4", "w": 14}, "premises": {"w": 14}, "target": "t"}, "answer": {"steps": [["n", "h + 18", "h + 36"], ["h", "x + 11", "x + 47"], ["x", "f + 1", "f + 48"], ["f", "i + 11", "i + 59"], ["i", "w + 16", "w + 75"], ["w", 14, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"w": 14}, "is_reverse": true}}
| 4,249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 11; n = h + 18; y = j + 20; t = n + 18; r = y + 4; w = 14; i = w + 16; q = k + 19; j = p + 11; x = f + 1; p = q + 4; h = x + 11; k = w + 4. If w = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 18 to t, which gives t = h + 36.\n2. Substitute h = x + 11 to t, which gives t = x + 47.\n3. Substitute x = f + 1 to t, which gives t = f + 48.\n4. Substitute f = i + 11 to t, which gives t = i + 59.\n5. Substitute i = w + 16 to t, which gives t = w + 75.\n6. Substitute w = 14 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 4249,
"question": "Consider a system of variables where each variable is defined as follows: f = i + 11; n = h + 18; y = j + 20; t = n + 18; r = y + 4; w = 14; i = w + 16; q = k + 19; j = p + 11; x = f + 1; p = q + 4; h = x + 11; k = w + 4. If w = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "k + 15", "o": "w + 16", "r": "o + 19", "x": "r + 20", "m": "x + 12", "p": "m + 18", "i": "k + 10", "j": "i + 16", "b": "j + 19", "a": "b + 5", "d": "a + 1", "c": "d + 13", "k": 16}, "premises": {"k": 16}, "target": "p"}, "answer": {"steps": [["m", "x + 12", "x + 30"], ["x", "r + 20", "r + 50"], ["r", "o + 19", "o + 69"], ["o", "w + 16", "w + 85"], ["w", "k + 15", "k + 100"], ["k", 16, "116"]], "target_var_name": "p", "target_value": 116, "value_dict": {"k": 16}, "is_reverse": true}}
| 4,250
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 12; o = w + 16; p = m + 18; r = o + 19; x = r + 20; a = b + 5; i = k + 10; b = j + 19; d = a + 1; k = 16; j = i + 16; w = k + 15; c = d + 13. Given that k = 16, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 116,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 12 to p, which gives p = x + 30.\n2. Substitute x = r + 20 to p, which gives p = r + 50.\n3. Substitute r = o + 19 to p, which gives p = o + 69.\n4. Substitute o = w + 16 to p, which gives p = w + 85.\n5. Substitute w = k + 15 to p, which gives p = k + 100.\n6. Substitute k = 16 to p, which gives p = 116.\n\nThus, the final answer is p = \\boxed{116}.",
"index": 4250,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 12; o = w + 16; p = m + 18; r = o + 19; x = r + 20; a = b + 5; i = k + 10; b = j + 19; d = a + 1; k = 16; j = i + 16; w = k + 15; c = d + 13. Given that k = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 11", "c": "s + 18", "i": "c + 8", "z": "i + 2", "e": "z + 16", "g": "e + 2", "n": "t + 18", "x": "n + 10", "y": "x + 12", "d": "y + 14", "o": "d + 7", "j": "o + 19", "t": 7}, "premises": {"t": 7}, "target": "g"}, "answer": {"steps": [["e", "z + 16", "z + 18"], ["z", "i + 2", "i + 20"], ["i", "c + 8", "c + 28"], ["c", "s + 18", "s + 46"], ["s", "t + 11", "t + 57"], ["t", 7, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"t": 7}, "is_reverse": true}}
| 4,251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 18; y = x + 12; c = s + 18; s = t + 11; x = n + 10; t = 7; j = o + 19; e = z + 16; i = c + 8; z = i + 2; d = y + 14; o = d + 7; g = e + 2. If t = 7, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 16 to g, which gives g = z + 18.\n2. Substitute z = i + 2 to g, which gives g = i + 20.\n3. Substitute i = c + 8 to g, which gives g = c + 28.\n4. Substitute c = s + 18 to g, which gives g = s + 46.\n5. Substitute s = t + 11 to g, which gives g = t + 57.\n6. Substitute t = 7 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 4251,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 18; y = x + 12; c = s + 18; s = t + 11; x = n + 10; t = 7; j = o + 19; e = z + 16; i = c + 8; z = i + 2; d = y + 14; o = d + 7; g = e + 2. If t = 7, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "v + 20", "g": "z + 6", "k": "g + 9", "l": "k + 4", "y": "l + 15", "m": "y + 2", "r": "v + 9", "e": "r + 6", "p": "e + 20", "q": "p + 8", "u": "q + 9", "j": "u + 19", "v": 13}, "premises": {"v": 13}, "target": "m"}, "answer": {"steps": [["y", "l + 15", "l + 17"], ["l", "k + 4", "k + 21"], ["k", "g + 9", "g + 30"], ["g", "z + 6", "z + 36"], ["z", "v + 20", "v + 56"], ["v", 13, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"v": 13}, "is_reverse": true}}
| 4,252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 9; u = q + 9; z = v + 20; y = l + 15; e = r + 6; k = g + 9; m = y + 2; v = 13; j = u + 19; p = e + 20; g = z + 6; q = p + 8; l = k + 4. If v = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 15 to m, which gives m = l + 17.\n2. Substitute l = k + 4 to m, which gives m = k + 21.\n3. Substitute k = g + 9 to m, which gives m = g + 30.\n4. Substitute g = z + 6 to m, which gives m = z + 36.\n5. Substitute z = v + 20 to m, which gives m = v + 56.\n6. Substitute v = 13 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 4252,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 9; u = q + 9; z = v + 20; y = l + 15; e = r + 6; k = g + 9; m = y + 2; v = 13; j = u + 19; p = e + 20; g = z + 6; q = p + 8; l = k + 4. If v = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 20", "v": "d + 8", "u": "v + 15", "c": "u + 14", "a": "c + 16", "z": "a + 3", "e": "h + 13", "y": "e + 14", "g": "y + 1", "w": "g + 7", "o": "w + 13", "p": "o + 11", "h": 6}, "premises": {"h": 6}, "target": "z"}, "answer": {"steps": [["a", "c + 16", "c + 19"], ["c", "u + 14", "u + 33"], ["u", "v + 15", "v + 48"], ["v", "d + 8", "d + 56"], ["d", "h + 20", "h + 76"], ["h", 6, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"h": 6}, "is_reverse": true}}
| 4,253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = d + 8; g = y + 1; e = h + 13; o = w + 13; c = u + 14; a = c + 16; u = v + 15; w = g + 7; d = h + 20; z = a + 3; h = 6; p = o + 11; y = e + 14. If h = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = c + 16 to z, which gives z = c + 19.\n2. Substitute c = u + 14 to z, which gives z = u + 33.\n3. Substitute u = v + 15 to z, which gives z = v + 48.\n4. Substitute v = d + 8 to z, which gives z = d + 56.\n5. Substitute d = h + 20 to z, which gives z = h + 76.\n6. Substitute h = 6 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 4253,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 8; g = y + 1; e = h + 13; o = w + 13; c = u + 14; a = c + 16; u = v + 15; w = g + 7; d = h + 20; z = a + 3; h = 6; p = o + 11; y = e + 14. If h = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 14", "o": "f + 9", "b": "o + 9", "r": "b + 9", "a": "r + 14", "j": "a + 1", "s": "k + 18", "x": "s + 8", "v": "x + 8", "q": "v + 10", "h": "q + 8", "e": "h + 12", "k": 13}, "premises": {"k": 13}, "target": "j"}, "answer": {"steps": [["a", "r + 14", "r + 15"], ["r", "b + 9", "b + 24"], ["b", "o + 9", "o + 33"], ["o", "f + 9", "f + 42"], ["f", "k + 14", "k + 56"], ["k", 13, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"k": 13}, "is_reverse": true}}
| 4,254
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 9; j = a + 1; f = k + 14; o = f + 9; e = h + 12; a = r + 14; h = q + 8; x = s + 8; v = x + 8; s = k + 18; q = v + 10; k = 13; r = b + 9. If k = 13, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 14 to j, which gives j = r + 15.\n2. Substitute r = b + 9 to j, which gives j = b + 24.\n3. Substitute b = o + 9 to j, which gives j = o + 33.\n4. Substitute o = f + 9 to j, which gives j = f + 42.\n5. Substitute f = k + 14 to j, which gives j = k + 56.\n6. Substitute k = 13 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 4254,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 9; j = a + 1; f = k + 14; o = f + 9; e = h + 12; a = r + 14; h = q + 8; x = s + 8; v = x + 8; s = k + 18; q = v + 10; k = 13; r = b + 9. If k = 13, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 13", "e": "x + 13", "q": "e + 15", "v": "q + 10", "b": "v + 15", "t": "b + 14", "r": "n + 3", "o": "r + 10", "d": "o + 10", "y": "d + 11", "z": "y + 5", "f": "z + 14", "n": 10}, "premises": {"n": 10}, "target": "t"}, "answer": {"steps": [["b", "v + 15", "v + 29"], ["v", "q + 10", "q + 39"], ["q", "e + 15", "e + 54"], ["e", "x + 13", "x + 67"], ["x", "n + 13", "n + 80"], ["n", 10, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"n": 10}, "is_reverse": true}}
| 4,255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 15; x = n + 13; t = b + 14; d = o + 10; f = z + 14; r = n + 3; v = q + 10; q = e + 15; z = y + 5; o = r + 10; n = 10; y = d + 11; e = x + 13. Given that n = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 15 to t, which gives t = v + 29.\n2. Substitute v = q + 10 to t, which gives t = q + 39.\n3. Substitute q = e + 15 to t, which gives t = e + 54.\n4. Substitute e = x + 13 to t, which gives t = x + 67.\n5. Substitute x = n + 13 to t, which gives t = n + 80.\n6. Substitute n = 10 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 4255,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 15; x = n + 13; t = b + 14; d = o + 10; f = z + 14; r = n + 3; v = q + 10; q = e + 15; z = y + 5; o = r + 10; n = 10; y = d + 11; e = x + 13. Given that n = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 20", "b": "l + 11", "m": "b + 19", "v": "m + 10", "h": "v + 6", "o": "h + 20", "a": "x + 18", "y": "a + 8", "j": "y + 17", "i": "j + 2", "k": "i + 14", "q": "k + 12", "x": 5}, "premises": {"x": 5}, "target": "o"}, "answer": {"steps": [["h", "v + 6", "v + 26"], ["v", "m + 10", "m + 36"], ["m", "b + 19", "b + 55"], ["b", "l + 11", "l + 66"], ["l", "x + 20", "x + 86"], ["x", 5, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"x": 5}, "is_reverse": true}}
| 4,256
| 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 = j + 2; y = a + 8; h = v + 6; q = k + 12; k = i + 14; m = b + 19; v = m + 10; l = x + 20; j = y + 17; a = x + 18; o = h + 20; x = 5; b = l + 11. If x = 5, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 6 to o, which gives o = v + 26.\n2. Substitute v = m + 10 to o, which gives o = m + 36.\n3. Substitute m = b + 19 to o, which gives o = b + 55.\n4. Substitute b = l + 11 to o, which gives o = l + 66.\n5. Substitute l = x + 20 to o, which gives o = x + 86.\n6. Substitute x = 5 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 4256,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = j + 2; y = a + 8; h = v + 6; q = k + 12; k = i + 14; m = b + 19; v = m + 10; l = x + 20; j = y + 17; a = x + 18; o = h + 20; x = 5; b = l + 11. If x = 5, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 9", "v": "w + 8", "g": "v + 4", "z": "g + 9", "y": "z + 12", "k": "y + 19", "x": "d + 4", "m": "x + 8", "n": "m + 17", "c": "n + 9", "e": "c + 6", "a": "e + 19", "d": 9}, "premises": {"d": 9}, "target": "k"}, "answer": {"steps": [["y", "z + 12", "z + 31"], ["z", "g + 9", "g + 40"], ["g", "v + 4", "v + 44"], ["v", "w + 8", "w + 52"], ["w", "d + 9", "d + 61"], ["d", 9, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"d": 9}, "is_reverse": true}}
| 4,257
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 8; x = d + 4; y = z + 12; n = m + 17; a = e + 19; d = 9; g = v + 4; c = n + 9; z = g + 9; v = w + 8; e = c + 6; w = d + 9; k = y + 19. If d = 9, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 12 to k, which gives k = z + 31.\n2. Substitute z = g + 9 to k, which gives k = g + 40.\n3. Substitute g = v + 4 to k, which gives k = v + 44.\n4. Substitute v = w + 8 to k, which gives k = w + 52.\n5. Substitute w = d + 9 to k, which gives k = d + 61.\n6. Substitute d = 9 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 4257,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 8; x = d + 4; y = z + 12; n = m + 17; a = e + 19; d = 9; g = v + 4; c = n + 9; z = g + 9; v = w + 8; e = c + 6; w = d + 9; k = y + 19. If d = 9, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "j + 20", "y": "e + 15", "f": "y + 7", "p": "f + 12", "m": "p + 14", "q": "m + 19", "r": "j + 9", "u": "r + 4", "g": "u + 6", "w": "g + 19", "i": "w + 2", "c": "i + 17", "j": 10}, "premises": {"j": 10}, "target": "q"}, "answer": {"steps": [["m", "p + 14", "p + 33"], ["p", "f + 12", "f + 45"], ["f", "y + 7", "y + 52"], ["y", "e + 15", "e + 67"], ["e", "j + 20", "j + 87"], ["j", 10, "97"]], "target_var_name": "q", "target_value": 97, "value_dict": {"j": 10}, "is_reverse": true}}
| 4,258
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = 10; m = p + 14; y = e + 15; r = j + 9; e = j + 20; c = i + 17; w = g + 19; q = m + 19; p = f + 12; u = r + 4; i = w + 2; g = u + 6; f = y + 7. If j = 10, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 14 to q, which gives q = p + 33.\n2. Substitute p = f + 12 to q, which gives q = f + 45.\n3. Substitute f = y + 7 to q, which gives q = y + 52.\n4. Substitute y = e + 15 to q, which gives q = e + 67.\n5. Substitute e = j + 20 to q, which gives q = j + 87.\n6. Substitute j = 10 to q, which gives q = 97.\n\nThus, the final answer is q = \\boxed{97}.",
"index": 4258,
"question": "Consider a system of variables where each variable is defined as follows: j = 10; m = p + 14; y = e + 15; r = j + 9; e = j + 20; c = i + 17; w = g + 19; q = m + 19; p = f + 12; u = r + 4; i = w + 2; g = u + 6; f = y + 7. If j = 10, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"x": "l + 16", "p": "x + 5", "y": "p + 18", "g": "y + 19", "z": "g + 5", "q": "z + 13", "d": "l + 17", "k": "d + 6", "j": "k + 4", "s": "j + 5", "o": "s + 11", "e": "o + 12", "l": 15}, "premises": {"l": 15}, "target": "q"}, "answer": {"steps": [["z", "g + 5", "g + 18"], ["g", "y + 19", "y + 37"], ["y", "p + 18", "p + 55"], ["p", "x + 5", "x + 60"], ["x", "l + 16", "l + 76"], ["l", 15, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"l": 15}, "is_reverse": true}}
| 4,259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 19; d = l + 17; q = z + 13; j = k + 4; l = 15; z = g + 5; p = x + 5; y = p + 18; s = j + 5; k = d + 6; e = o + 12; o = s + 11; x = l + 16. If l = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 5 to q, which gives q = g + 18.\n2. Substitute g = y + 19 to q, which gives q = y + 37.\n3. Substitute y = p + 18 to q, which gives q = p + 55.\n4. Substitute p = x + 5 to q, which gives q = x + 60.\n5. Substitute x = l + 16 to q, which gives q = l + 76.\n6. Substitute l = 15 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 4259,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 19; d = l + 17; q = z + 13; j = k + 4; l = 15; z = g + 5; p = x + 5; y = p + 18; s = j + 5; k = d + 6; e = o + 12; o = s + 11; x = l + 16. If l = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 9", "j": "q + 16", "l": "j + 2", "c": "l + 9", "v": "c + 5", "f": "v + 13", "e": "t + 13", "y": "e + 7", "z": "y + 5", "n": "z + 9", "h": "n + 3", "b": "h + 12", "t": 7}, "premises": {"t": 7}, "target": "f"}, "answer": {"steps": [["v", "c + 5", "c + 18"], ["c", "l + 9", "l + 27"], ["l", "j + 2", "j + 29"], ["j", "q + 16", "q + 45"], ["q", "t + 9", "t + 54"], ["t", 7, "61"]], "target_var_name": "f", "target_value": 61, "value_dict": {"t": 7}, "is_reverse": true}}
| 4,260
| 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 = j + 2; n = z + 9; y = e + 7; v = c + 5; t = 7; q = t + 9; h = n + 3; f = v + 13; e = t + 13; c = l + 9; b = h + 12; z = y + 5; j = q + 16. If t = 7, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 5 to f, which gives f = c + 18.\n2. Substitute c = l + 9 to f, which gives f = l + 27.\n3. Substitute l = j + 2 to f, which gives f = j + 29.\n4. Substitute j = q + 16 to f, which gives f = q + 45.\n5. Substitute q = t + 9 to f, which gives f = t + 54.\n6. Substitute t = 7 to f, which gives f = 61.\n\nThus, the final answer is f = \\boxed{61}.",
"index": 4260,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = j + 2; n = z + 9; y = e + 7; v = c + 5; t = 7; q = t + 9; h = n + 3; f = v + 13; e = t + 13; c = l + 9; b = h + 12; z = y + 5; j = q + 16. If t = 7, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 7", "l": "m + 9", "e": "l + 9", "b": "e + 13", "o": "b + 8", "h": "o + 2", "i": "x + 15", "f": "i + 20", "r": "f + 19", "q": "r + 20", "t": "q + 10", "j": "t + 7", "x": 15}, "premises": {"x": 15}, "target": "h"}, "answer": {"steps": [["o", "b + 8", "b + 10"], ["b", "e + 13", "e + 23"], ["e", "l + 9", "l + 32"], ["l", "m + 9", "m + 41"], ["m", "x + 7", "x + 48"], ["x", 15, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"x": 15}, "is_reverse": true}}
| 4,261
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = m + 9; b = e + 13; h = o + 2; m = x + 7; q = r + 20; o = b + 8; t = q + 10; r = f + 19; f = i + 20; x = 15; j = t + 7; i = x + 15; e = l + 9. Given that x = 15, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 8 to h, which gives h = b + 10.\n2. Substitute b = e + 13 to h, which gives h = e + 23.\n3. Substitute e = l + 9 to h, which gives h = l + 32.\n4. Substitute l = m + 9 to h, which gives h = m + 41.\n5. Substitute m = x + 7 to h, which gives h = x + 48.\n6. Substitute x = 15 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 4261,
"question": "Suppose a collection of variables is related by the following definitions: l = m + 9; b = e + 13; h = o + 2; m = x + 7; q = r + 20; o = b + 8; t = q + 10; r = f + 19; f = i + 20; x = 15; j = t + 7; i = x + 15; e = l + 9. Given that x = 15, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 2", "i": "q + 16", "d": "i + 1", "e": "d + 12", "t": "e + 2", "s": "t + 8", "c": "z + 3", "m": "c + 10", "j": "m + 6", "k": "j + 11", "g": "k + 13", "h": "g + 13", "z": 8}, "premises": {"z": 8}, "target": "s"}, "answer": {"steps": [["t", "e + 2", "e + 10"], ["e", "d + 12", "d + 22"], ["d", "i + 1", "i + 23"], ["i", "q + 16", "q + 39"], ["q", "z + 2", "z + 41"], ["z", 8, "49"]], "target_var_name": "s", "target_value": 49, "value_dict": {"z": 8}, "is_reverse": true}}
| 4,262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 6; c = z + 3; e = d + 12; i = q + 16; t = e + 2; q = z + 2; k = j + 11; d = i + 1; g = k + 13; s = t + 8; m = c + 10; z = 8; h = g + 13. If z = 8, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 2 to s, which gives s = e + 10.\n2. Substitute e = d + 12 to s, which gives s = d + 22.\n3. Substitute d = i + 1 to s, which gives s = i + 23.\n4. Substitute i = q + 16 to s, which gives s = q + 39.\n5. Substitute q = z + 2 to s, which gives s = z + 41.\n6. Substitute z = 8 to s, which gives s = 49.\n\nThus, the final answer is s = \\boxed{49}.",
"index": 4262,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 6; c = z + 3; e = d + 12; i = q + 16; t = e + 2; q = z + 2; k = j + 11; d = i + 1; g = k + 13; s = t + 8; m = c + 10; z = 8; h = g + 13. If z = 8, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 9", "l": "s + 14", "o": "l + 20", "y": "o + 9", "t": "y + 10", "e": "t + 15", "n": "d + 9", "b": "n + 7", "r": "b + 4", "h": "r + 2", "c": "h + 8", "w": "c + 13", "d": 9}, "premises": {"d": 9}, "target": "e"}, "answer": {"steps": [["t", "y + 10", "y + 25"], ["y", "o + 9", "o + 34"], ["o", "l + 20", "l + 54"], ["l", "s + 14", "s + 68"], ["s", "d + 9", "d + 77"], ["d", 9, "86"]], "target_var_name": "e", "target_value": 86, "value_dict": {"d": 9}, "is_reverse": true}}
| 4,263
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 9; b = n + 7; o = l + 20; y = o + 9; r = b + 4; t = y + 10; e = t + 15; w = c + 13; s = d + 9; h = r + 2; c = h + 8; n = d + 9; l = s + 14. Given that d = 9, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 10 to e, which gives e = y + 25.\n2. Substitute y = o + 9 to e, which gives e = o + 34.\n3. Substitute o = l + 20 to e, which gives e = l + 54.\n4. Substitute l = s + 14 to e, which gives e = s + 68.\n5. Substitute s = d + 9 to e, which gives e = d + 77.\n6. Substitute d = 9 to e, which gives e = 86.\n\nThus, the final answer is e = \\boxed{86}.",
"index": 4263,
"question": "Suppose a collection of variables is related by the following definitions: d = 9; b = n + 7; o = l + 20; y = o + 9; r = b + 4; t = y + 10; e = t + 15; w = c + 13; s = d + 9; h = r + 2; c = h + 8; n = d + 9; l = s + 14. Given that d = 9, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 3", "e": "y + 12", "a": "e + 16", "j": "a + 11", "v": "j + 13", "d": "v + 14", "s": "q + 19", "l": "s + 20", "b": "l + 6", "m": "b + 9", "u": "m + 8", "o": "u + 17", "q": 20}, "premises": {"q": 20}, "target": "d"}, "answer": {"steps": [["v", "j + 13", "j + 27"], ["j", "a + 11", "a + 38"], ["a", "e + 16", "e + 54"], ["e", "y + 12", "y + 66"], ["y", "q + 3", "q + 69"], ["q", 20, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"q": 20}, "is_reverse": true}}
| 4,264
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = j + 13; u = m + 8; a = e + 16; l = s + 20; o = u + 17; s = q + 19; b = l + 6; d = v + 14; m = b + 9; y = q + 3; e = y + 12; j = a + 11; q = 20. Given that q = 20, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = j + 13 to d, which gives d = j + 27.\n2. Substitute j = a + 11 to d, which gives d = a + 38.\n3. Substitute a = e + 16 to d, which gives d = e + 54.\n4. Substitute e = y + 12 to d, which gives d = y + 66.\n5. Substitute y = q + 3 to d, which gives d = q + 69.\n6. Substitute q = 20 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 4264,
"question": "Suppose a collection of variables is related by the following definitions: v = j + 13; u = m + 8; a = e + 16; l = s + 20; o = u + 17; s = q + 19; b = l + 6; d = v + 14; m = b + 9; y = q + 3; e = y + 12; j = a + 11; q = 20. Given that q = 20, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 20", "e": "i + 5", "q": "e + 13", "x": "q + 5", "o": "x + 2", "n": "o + 18", "f": "g + 5", "u": "f + 8", "a": "u + 8", "s": "a + 5", "k": "s + 15", "l": "k + 4", "g": 17}, "premises": {"g": 17}, "target": "n"}, "answer": {"steps": [["o", "x + 2", "x + 20"], ["x", "q + 5", "q + 25"], ["q", "e + 13", "e + 38"], ["e", "i + 5", "i + 43"], ["i", "g + 20", "g + 63"], ["g", 17, "80"]], "target_var_name": "n", "target_value": 80, "value_dict": {"g": 17}, "is_reverse": true}}
| 4,265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 20; g = 17; e = i + 5; s = a + 5; x = q + 5; a = u + 8; f = g + 5; u = f + 8; o = x + 2; l = k + 4; k = s + 15; n = o + 18; q = e + 13. If g = 17, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = x + 2 to n, which gives n = x + 20.\n2. Substitute x = q + 5 to n, which gives n = q + 25.\n3. Substitute q = e + 13 to n, which gives n = e + 38.\n4. Substitute e = i + 5 to n, which gives n = i + 43.\n5. Substitute i = g + 20 to n, which gives n = g + 63.\n6. Substitute g = 17 to n, which gives n = 80.\n\nThus, the final answer is n = \\boxed{80}.",
"index": 4265,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 20; g = 17; e = i + 5; s = a + 5; x = q + 5; a = u + 8; f = g + 5; u = f + 8; o = x + 2; l = k + 4; k = s + 15; n = o + 18; q = e + 13. If g = 17, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 4", "q": "r + 12", "k": "q + 8", "z": "k + 19", "u": "z + 9", "o": "u + 19", "g": "e + 16", "l": "g + 16", "b": "l + 18", "j": "b + 7", "p": "j + 16", "m": "p + 3", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["u", "z + 9", "z + 28"], ["z", "k + 19", "k + 47"], ["k", "q + 8", "q + 55"], ["q", "r + 12", "r + 67"], ["r", "e + 4", "e + 71"], ["e", 3, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"e": 3}, "is_reverse": true}}
| 4,266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 7; b = l + 18; q = r + 12; l = g + 16; r = e + 4; z = k + 19; m = p + 3; p = j + 16; e = 3; k = q + 8; o = u + 19; u = z + 9; g = e + 16. If e = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = z + 9 to o, which gives o = z + 28.\n2. Substitute z = k + 19 to o, which gives o = k + 47.\n3. Substitute k = q + 8 to o, which gives o = q + 55.\n4. Substitute q = r + 12 to o, which gives o = r + 67.\n5. Substitute r = e + 4 to o, which gives o = e + 71.\n6. Substitute e = 3 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 4266,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 7; b = l + 18; q = r + 12; l = g + 16; r = e + 4; z = k + 19; m = p + 3; p = j + 16; e = 3; k = q + 8; o = u + 19; u = z + 9; g = e + 16. If e = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"v": "t + 12", "j": "v + 4", "a": "j + 7", "c": "a + 10", "d": "c + 10", "s": "d + 18", "e": "t + 14", "o": "e + 16", "x": "o + 6", "u": "x + 10", "k": "u + 19", "w": "k + 9", "t": 20}, "premises": {"t": 20}, "target": "s"}, "answer": {"steps": [["d", "c + 10", "c + 28"], ["c", "a + 10", "a + 38"], ["a", "j + 7", "j + 45"], ["j", "v + 4", "v + 49"], ["v", "t + 12", "t + 61"], ["t", 20, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"t": 20}, "is_reverse": true}}
| 4,267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 10; e = t + 14; c = a + 10; v = t + 12; k = u + 19; s = d + 18; a = j + 7; j = v + 4; x = o + 6; t = 20; o = e + 16; w = k + 9; d = c + 10. Given that t = 20, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 10 to s, which gives s = c + 28.\n2. Substitute c = a + 10 to s, which gives s = a + 38.\n3. Substitute a = j + 7 to s, which gives s = j + 45.\n4. Substitute j = v + 4 to s, which gives s = v + 49.\n5. Substitute v = t + 12 to s, which gives s = t + 61.\n6. Substitute t = 20 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 4267,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 10; e = t + 14; c = a + 10; v = t + 12; k = u + 19; s = d + 18; a = j + 7; j = v + 4; x = o + 6; t = 20; o = e + 16; w = k + 9; d = c + 10. Given that t = 20, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 4", "y": "k + 3", "t": "y + 17", "w": "t + 1", "n": "w + 2", "i": "n + 7", "m": "s + 16", "a": "m + 18", "p": "a + 10", "q": "p + 9", "x": "q + 17", "j": "x + 8", "s": 4}, "premises": {"s": 4}, "target": "i"}, "answer": {"steps": [["n", "w + 2", "w + 9"], ["w", "t + 1", "t + 10"], ["t", "y + 17", "y + 27"], ["y", "k + 3", "k + 30"], ["k", "s + 4", "s + 34"], ["s", 4, "38"]], "target_var_name": "i", "target_value": 38, "value_dict": {"s": 4}, "is_reverse": true}}
| 4,268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 4; t = y + 17; s = 4; w = t + 1; n = w + 2; q = p + 9; m = s + 16; y = k + 3; j = x + 8; i = n + 7; p = a + 10; a = m + 18; x = q + 17. If s = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 2 to i, which gives i = w + 9.\n2. Substitute w = t + 1 to i, which gives i = t + 10.\n3. Substitute t = y + 17 to i, which gives i = y + 27.\n4. Substitute y = k + 3 to i, which gives i = k + 30.\n5. Substitute k = s + 4 to i, which gives i = s + 34.\n6. Substitute s = 4 to i, which gives i = 38.\n\nThus, the final answer is i = \\boxed{38}.",
"index": 4268,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 4; t = y + 17; s = 4; w = t + 1; n = w + 2; q = p + 9; m = s + 16; y = k + 3; j = x + 8; i = n + 7; p = a + 10; a = m + 18; x = q + 17. If s = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"j": "i + 14", "o": "j + 6", "r": "o + 4", "z": "r + 10", "e": "z + 9", "d": "e + 6", "f": "i + 20", "u": "f + 20", "q": "u + 2", "t": "q + 9", "h": "t + 4", "v": "h + 15", "i": 16}, "premises": {"i": 16}, "target": "d"}, "answer": {"steps": [["e", "z + 9", "z + 15"], ["z", "r + 10", "r + 25"], ["r", "o + 4", "o + 29"], ["o", "j + 6", "j + 35"], ["j", "i + 14", "i + 49"], ["i", 16, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"i": 16}, "is_reverse": true}}
| 4,269
| 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 = q + 9; h = t + 4; e = z + 9; o = j + 6; d = e + 6; f = i + 20; u = f + 20; z = r + 10; v = h + 15; i = 16; j = i + 14; r = o + 4; q = u + 2. If i = 16, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 9 to d, which gives d = z + 15.\n2. Substitute z = r + 10 to d, which gives d = r + 25.\n3. Substitute r = o + 4 to d, which gives d = o + 29.\n4. Substitute o = j + 6 to d, which gives d = j + 35.\n5. Substitute j = i + 14 to d, which gives d = i + 49.\n6. Substitute i = 16 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 4269,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 9; h = t + 4; e = z + 9; o = j + 6; d = e + 6; f = i + 20; u = f + 20; z = r + 10; v = h + 15; i = 16; j = i + 14; r = o + 4; q = u + 2. If i = 16, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 6", "s": "p + 8", "d": "s + 17", "g": "d + 2", "b": "g + 20", "y": "b + 15", "r": "m + 14", "n": "r + 17", "o": "n + 17", "v": "o + 13", "q": "v + 10", "u": "q + 19", "m": 4}, "premises": {"m": 4}, "target": "y"}, "answer": {"steps": [["b", "g + 20", "g + 35"], ["g", "d + 2", "d + 37"], ["d", "s + 17", "s + 54"], ["s", "p + 8", "p + 62"], ["p", "m + 6", "m + 68"], ["m", 4, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"m": 4}, "is_reverse": true}}
| 4,270
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 2; r = m + 14; v = o + 13; n = r + 17; y = b + 15; u = q + 19; p = m + 6; o = n + 17; b = g + 20; d = s + 17; m = 4; s = p + 8; q = v + 10. If m = 4, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 20 to y, which gives y = g + 35.\n2. Substitute g = d + 2 to y, which gives y = d + 37.\n3. Substitute d = s + 17 to y, which gives y = s + 54.\n4. Substitute s = p + 8 to y, which gives y = p + 62.\n5. Substitute p = m + 6 to y, which gives y = m + 68.\n6. Substitute m = 4 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 4270,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 2; r = m + 14; v = o + 13; n = r + 17; y = b + 15; u = q + 19; p = m + 6; o = n + 17; b = g + 20; d = s + 17; m = 4; s = p + 8; q = v + 10. If m = 4, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 9", "k": "f + 16", "l": "k + 6", "x": "l + 10", "s": "x + 5", "r": "s + 5", "b": "q + 1", "a": "b + 18", "p": "a + 12", "i": "p + 1", "n": "i + 8", "m": "n + 8", "q": 11}, "premises": {"q": 11}, "target": "r"}, "answer": {"steps": [["s", "x + 5", "x + 10"], ["x", "l + 10", "l + 20"], ["l", "k + 6", "k + 26"], ["k", "f + 16", "f + 42"], ["f", "q + 9", "q + 51"], ["q", 11, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"q": 11}, "is_reverse": true}}
| 4,271
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 12; q = 11; x = l + 10; i = p + 1; s = x + 5; m = n + 8; f = q + 9; k = f + 16; l = k + 6; a = b + 18; r = s + 5; n = i + 8; b = q + 1. If q = 11, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 5 to r, which gives r = x + 10.\n2. Substitute x = l + 10 to r, which gives r = l + 20.\n3. Substitute l = k + 6 to r, which gives r = k + 26.\n4. Substitute k = f + 16 to r, which gives r = f + 42.\n5. Substitute f = q + 9 to r, which gives r = q + 51.\n6. Substitute q = 11 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 4271,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 12; q = 11; x = l + 10; i = p + 1; s = x + 5; m = n + 8; f = q + 9; k = f + 16; l = k + 6; a = b + 18; r = s + 5; n = i + 8; b = q + 1. If q = 11, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 7", "f": "g + 6", "x": "f + 14", "k": "x + 2", "u": "k + 4", "r": "u + 3", "h": "v + 14", "z": "h + 20", "d": "z + 16", "y": "d + 17", "w": "y + 13", "m": "w + 3", "v": 1}, "premises": {"v": 1}, "target": "r"}, "answer": {"steps": [["u", "k + 4", "k + 7"], ["k", "x + 2", "x + 9"], ["x", "f + 14", "f + 23"], ["f", "g + 6", "g + 29"], ["g", "v + 7", "v + 36"], ["v", 1, "37"]], "target_var_name": "r", "target_value": 37, "value_dict": {"v": 1}, "is_reverse": true}}
| 4,272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = x + 2; d = z + 16; m = w + 3; y = d + 17; z = h + 20; v = 1; x = f + 14; w = y + 13; f = g + 6; u = k + 4; g = v + 7; h = v + 14; r = u + 3. Given that v = 1, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 4 to r, which gives r = k + 7.\n2. Substitute k = x + 2 to r, which gives r = x + 9.\n3. Substitute x = f + 14 to r, which gives r = f + 23.\n4. Substitute f = g + 6 to r, which gives r = g + 29.\n5. Substitute g = v + 7 to r, which gives r = v + 36.\n6. Substitute v = 1 to r, which gives r = 37.\n\nThus, the final answer is r = \\boxed{37}.",
"index": 4272,
"question": "Suppose a collection of variables is related by the following definitions: k = x + 2; d = z + 16; m = w + 3; y = d + 17; z = h + 20; v = 1; x = f + 14; w = y + 13; f = g + 6; u = k + 4; g = v + 7; h = v + 14; r = u + 3. Given that v = 1, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 5", "l": "j + 5", "p": "l + 1", "b": "p + 9", "q": "b + 15", "i": "q + 14", "c": "s + 18", "k": "c + 18", "m": "k + 16", "x": "m + 4", "a": "x + 16", "r": "a + 8", "s": 4}, "premises": {"s": 4}, "target": "i"}, "answer": {"steps": [["q", "b + 15", "b + 29"], ["b", "p + 9", "p + 38"], ["p", "l + 1", "l + 39"], ["l", "j + 5", "j + 44"], ["j", "s + 5", "s + 49"], ["s", 4, "53"]], "target_var_name": "i", "target_value": 53, "value_dict": {"s": 4}, "is_reverse": true}}
| 4,273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 1; s = 4; k = c + 18; q = b + 15; m = k + 16; j = s + 5; l = j + 5; r = a + 8; i = q + 14; x = m + 4; b = p + 9; c = s + 18; a = x + 16. If s = 4, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 15 to i, which gives i = b + 29.\n2. Substitute b = p + 9 to i, which gives i = p + 38.\n3. Substitute p = l + 1 to i, which gives i = l + 39.\n4. Substitute l = j + 5 to i, which gives i = j + 44.\n5. Substitute j = s + 5 to i, which gives i = s + 49.\n6. Substitute s = 4 to i, which gives i = 53.\n\nThus, the final answer is i = \\boxed{53}.",
"index": 4273,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 1; s = 4; k = c + 18; q = b + 15; m = k + 16; j = s + 5; l = j + 5; r = a + 8; i = q + 14; x = m + 4; b = p + 9; c = s + 18; a = x + 16. If s = 4, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 18", "l": "x + 16", "p": "l + 20", "c": "p + 19", "d": "c + 11", "g": "d + 16", "k": "b + 15", "n": "k + 20", "q": "n + 20", "i": "q + 6", "v": "i + 19", "e": "v + 7", "b": 17}, "premises": {"b": 17}, "target": "g"}, "answer": {"steps": [["d", "c + 11", "c + 27"], ["c", "p + 19", "p + 46"], ["p", "l + 20", "l + 66"], ["l", "x + 16", "x + 82"], ["x", "b + 18", "b + 100"], ["b", 17, "117"]], "target_var_name": "g", "target_value": 117, "value_dict": {"b": 17}, "is_reverse": true}}
| 4,274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = 17; k = b + 15; x = b + 18; q = n + 20; v = i + 19; p = l + 20; d = c + 11; i = q + 6; g = d + 16; n = k + 20; e = v + 7; l = x + 16; c = p + 19. If b = 17, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 117,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 11 to g, which gives g = c + 27.\n2. Substitute c = p + 19 to g, which gives g = p + 46.\n3. Substitute p = l + 20 to g, which gives g = l + 66.\n4. Substitute l = x + 16 to g, which gives g = x + 82.\n5. Substitute x = b + 18 to g, which gives g = b + 100.\n6. Substitute b = 17 to g, which gives g = 117.\n\nThus, the final answer is g = \\boxed{117}.",
"index": 4274,
"question": "Consider a system of variables where each variable is defined as follows: b = 17; k = b + 15; x = b + 18; q = n + 20; v = i + 19; p = l + 20; d = c + 11; i = q + 6; g = d + 16; n = k + 20; e = v + 7; l = x + 16; c = p + 19. If b = 17, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 10", "n": "c + 12", "j": "n + 4", "m": "j + 3", "u": "m + 19", "e": "u + 19", "a": "p + 11", "x": "a + 5", "r": "x + 1", "v": "r + 3", "d": "v + 9", "l": "d + 10", "p": 4}, "premises": {"p": 4}, "target": "e"}, "answer": {"steps": [["u", "m + 19", "m + 38"], ["m", "j + 3", "j + 41"], ["j", "n + 4", "n + 45"], ["n", "c + 12", "c + 57"], ["c", "p + 10", "p + 67"], ["p", 4, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"p": 4}, "is_reverse": true}}
| 4,275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 19; a = p + 11; p = 4; l = d + 10; m = j + 3; j = n + 4; x = a + 5; d = v + 9; c = p + 10; n = c + 12; e = u + 19; r = x + 1; v = r + 3. If p = 4, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 19 to e, which gives e = m + 38.\n2. Substitute m = j + 3 to e, which gives e = j + 41.\n3. Substitute j = n + 4 to e, which gives e = n + 45.\n4. Substitute n = c + 12 to e, which gives e = c + 57.\n5. Substitute c = p + 10 to e, which gives e = p + 67.\n6. Substitute p = 4 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 4275,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 19; a = p + 11; p = 4; l = d + 10; m = j + 3; j = n + 4; x = a + 5; d = v + 9; c = p + 10; n = c + 12; e = u + 19; r = x + 1; v = r + 3. If p = 4, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "f + 9", "u": "o + 15", "p": "u + 1", "k": "p + 13", "d": "k + 8", "e": "d + 4", "l": "f + 7", "c": "l + 10", "x": "c + 6", "r": "x + 16", "n": "r + 3", "z": "n + 12", "f": 16}, "premises": {"f": 16}, "target": "e"}, "answer": {"steps": [["d", "k + 8", "k + 12"], ["k", "p + 13", "p + 25"], ["p", "u + 1", "u + 26"], ["u", "o + 15", "o + 41"], ["o", "f + 9", "f + 50"], ["f", 16, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"f": 16}, "is_reverse": true}}
| 4,276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 16; u = o + 15; d = k + 8; l = f + 7; r = x + 16; o = f + 9; p = u + 1; k = p + 13; c = l + 10; e = d + 4; x = c + 6; z = n + 12; n = r + 3. If f = 16, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = k + 8 to e, which gives e = k + 12.\n2. Substitute k = p + 13 to e, which gives e = p + 25.\n3. Substitute p = u + 1 to e, which gives e = u + 26.\n4. Substitute u = o + 15 to e, which gives e = o + 41.\n5. Substitute o = f + 9 to e, which gives e = f + 50.\n6. Substitute f = 16 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 4276,
"question": "Consider a system of variables where each variable is defined as follows: f = 16; u = o + 15; d = k + 8; l = f + 7; r = x + 16; o = f + 9; p = u + 1; k = p + 13; c = l + 10; e = d + 4; x = c + 6; z = n + 12; n = r + 3. If f = 16, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 5", "l": "n + 7", "o": "l + 17", "x": "o + 3", "m": "x + 2", "d": "m + 15", "v": "z + 6", "u": "v + 8", "j": "u + 4", "s": "j + 6", "h": "s + 15", "p": "h + 12", "z": 17}, "premises": {"z": 17}, "target": "d"}, "answer": {"steps": [["m", "x + 2", "x + 17"], ["x", "o + 3", "o + 20"], ["o", "l + 17", "l + 37"], ["l", "n + 7", "n + 44"], ["n", "z + 5", "z + 49"], ["z", 17, "66"]], "target_var_name": "d", "target_value": 66, "value_dict": {"z": 17}, "is_reverse": true}}
| 4,277
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 15; v = z + 6; j = u + 4; o = l + 17; m = x + 2; u = v + 8; l = n + 7; z = 17; p = h + 12; x = o + 3; n = z + 5; d = m + 15; s = j + 6. If z = 17, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 2 to d, which gives d = x + 17.\n2. Substitute x = o + 3 to d, which gives d = o + 20.\n3. Substitute o = l + 17 to d, which gives d = l + 37.\n4. Substitute l = n + 7 to d, which gives d = n + 44.\n5. Substitute n = z + 5 to d, which gives d = z + 49.\n6. Substitute z = 17 to d, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 4277,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = s + 15; v = z + 6; j = u + 4; o = l + 17; m = x + 2; u = v + 8; l = n + 7; z = 17; p = h + 12; x = o + 3; n = z + 5; d = m + 15; s = j + 6. If z = 17, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 4", "d": "e + 13", "q": "d + 11", "h": "q + 12", "t": "h + 9", "i": "t + 8", "v": "p + 6", "g": "v + 2", "n": "g + 1", "l": "n + 15", "u": "l + 9", "r": "u + 19", "p": 12}, "premises": {"p": 12}, "target": "i"}, "answer": {"steps": [["t", "h + 9", "h + 17"], ["h", "q + 12", "q + 29"], ["q", "d + 11", "d + 40"], ["d", "e + 13", "e + 53"], ["e", "p + 4", "p + 57"], ["p", 12, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"p": 12}, "is_reverse": true}}
| 4,278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = g + 1; v = p + 6; e = p + 4; t = h + 9; q = d + 11; g = v + 2; p = 12; l = n + 15; u = l + 9; r = u + 19; d = e + 13; h = q + 12; i = t + 8. Given that p = 12, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 9 to i, which gives i = h + 17.\n2. Substitute h = q + 12 to i, which gives i = q + 29.\n3. Substitute q = d + 11 to i, which gives i = d + 40.\n4. Substitute d = e + 13 to i, which gives i = e + 53.\n5. Substitute e = p + 4 to i, which gives i = p + 57.\n6. Substitute p = 12 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 4278,
"question": "Suppose a collection of variables is related by the following definitions: n = g + 1; v = p + 6; e = p + 4; t = h + 9; q = d + 11; g = v + 2; p = 12; l = n + 15; u = l + 9; r = u + 19; d = e + 13; h = q + 12; i = t + 8. Given that p = 12, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"c": "s + 3", "t": "c + 3", "h": "t + 14", "r": "h + 5", "a": "r + 18", "x": "a + 2", "p": "s + 3", "j": "p + 5", "w": "j + 12", "z": "w + 14", "q": "z + 17", "n": "q + 8", "s": 7}, "premises": {"s": 7}, "target": "x"}, "answer": {"steps": [["a", "r + 18", "r + 20"], ["r", "h + 5", "h + 25"], ["h", "t + 14", "t + 39"], ["t", "c + 3", "c + 42"], ["c", "s + 3", "s + 45"], ["s", 7, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"s": 7}, "is_reverse": true}}
| 4,279
| 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 = c + 3; a = r + 18; c = s + 3; z = w + 14; j = p + 5; p = s + 3; s = 7; r = h + 5; n = q + 8; x = a + 2; h = t + 14; w = j + 12; q = z + 17. If s = 7, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 18 to x, which gives x = r + 20.\n2. Substitute r = h + 5 to x, which gives x = h + 25.\n3. Substitute h = t + 14 to x, which gives x = t + 39.\n4. Substitute t = c + 3 to x, which gives x = c + 42.\n5. Substitute c = s + 3 to x, which gives x = s + 45.\n6. Substitute s = 7 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 4279,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 3; a = r + 18; c = s + 3; z = w + 14; j = p + 5; p = s + 3; s = 7; r = h + 5; n = q + 8; x = a + 2; h = t + 14; w = j + 12; q = z + 17. If s = 7, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 16", "q": "w + 2", "p": "q + 5", "e": "p + 15", "j": "e + 2", "l": "j + 19", "i": "h + 16", "g": "i + 11", "f": "g + 10", "o": "f + 2", "c": "o + 19", "v": "c + 5", "h": 13}, "premises": {"h": 13}, "target": "l"}, "answer": {"steps": [["j", "e + 2", "e + 21"], ["e", "p + 15", "p + 36"], ["p", "q + 5", "q + 41"], ["q", "w + 2", "w + 43"], ["w", "h + 16", "h + 59"], ["h", 13, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"h": 13}, "is_reverse": true}}
| 4,280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = p + 15; l = j + 19; i = h + 16; h = 13; o = f + 2; q = w + 2; p = q + 5; f = g + 10; v = c + 5; w = h + 16; g = i + 11; j = e + 2; c = o + 19. Given that h = 13, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 2 to l, which gives l = e + 21.\n2. Substitute e = p + 15 to l, which gives l = p + 36.\n3. Substitute p = q + 5 to l, which gives l = q + 41.\n4. Substitute q = w + 2 to l, which gives l = w + 43.\n5. Substitute w = h + 16 to l, which gives l = h + 59.\n6. Substitute h = 13 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 4280,
"question": "Suppose a collection of variables is related by the following definitions: e = p + 15; l = j + 19; i = h + 16; h = 13; o = f + 2; q = w + 2; p = q + 5; f = g + 10; v = c + 5; w = h + 16; g = i + 11; j = e + 2; c = o + 19. Given that h = 13, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 18", "l": "k + 14", "i": "l + 6", "m": "i + 19", "t": "m + 2", "w": "t + 17", "e": "d + 5", "n": "e + 12", "v": "n + 14", "f": "v + 16", "j": "f + 7", "u": "j + 19", "d": 4}, "premises": {"d": 4}, "target": "w"}, "answer": {"steps": [["t", "m + 2", "m + 19"], ["m", "i + 19", "i + 38"], ["i", "l + 6", "l + 44"], ["l", "k + 14", "k + 58"], ["k", "d + 18", "d + 76"], ["d", 4, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"d": 4}, "is_reverse": true}}
| 4,281
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = v + 16; l = k + 14; w = t + 17; k = d + 18; t = m + 2; u = j + 19; m = i + 19; e = d + 5; i = l + 6; v = n + 14; n = e + 12; d = 4; j = f + 7. If d = 4, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = m + 2 to w, which gives w = m + 19.\n2. Substitute m = i + 19 to w, which gives w = i + 38.\n3. Substitute i = l + 6 to w, which gives w = l + 44.\n4. Substitute l = k + 14 to w, which gives w = k + 58.\n5. Substitute k = d + 18 to w, which gives w = d + 76.\n6. Substitute d = 4 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 4281,
"question": "Consider a system of variables where each variable is defined as follows: f = v + 16; l = k + 14; w = t + 17; k = d + 18; t = m + 2; u = j + 19; m = i + 19; e = d + 5; i = l + 6; v = n + 14; n = e + 12; d = 4; j = f + 7. If d = 4, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 13", "m": "e + 6", "b": "m + 19", "o": "b + 6", "w": "o + 6", "g": "w + 3", "a": "d + 13", "t": "a + 8", "l": "t + 16", "z": "l + 19", "u": "z + 5", "h": "u + 14", "d": 14}, "premises": {"d": 14}, "target": "g"}, "answer": {"steps": [["w", "o + 6", "o + 9"], ["o", "b + 6", "b + 15"], ["b", "m + 19", "m + 34"], ["m", "e + 6", "e + 40"], ["e", "d + 13", "d + 53"], ["d", 14, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"d": 14}, "is_reverse": true}}
| 4,282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 19; o = b + 6; d = 14; a = d + 13; u = z + 5; z = l + 19; e = d + 13; h = u + 14; w = o + 6; m = e + 6; g = w + 3; l = t + 16; t = a + 8. If d = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 6 to g, which gives g = o + 9.\n2. Substitute o = b + 6 to g, which gives g = b + 15.\n3. Substitute b = m + 19 to g, which gives g = m + 34.\n4. Substitute m = e + 6 to g, which gives g = e + 40.\n5. Substitute e = d + 13 to g, which gives g = d + 53.\n6. Substitute d = 14 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 4282,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 19; o = b + 6; d = 14; a = d + 13; u = z + 5; z = l + 19; e = d + 13; h = u + 14; w = o + 6; m = e + 6; g = w + 3; l = t + 16; t = a + 8. If d = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 5", "f": "p + 2", "o": "f + 11", "e": "o + 11", "u": "e + 7", "x": "u + 6", "k": "i + 1", "z": "k + 16", "n": "z + 4", "a": "n + 20", "w": "a + 3", "c": "w + 6", "i": 4}, "premises": {"i": 4}, "target": "x"}, "answer": {"steps": [["u", "e + 7", "e + 13"], ["e", "o + 11", "o + 24"], ["o", "f + 11", "f + 35"], ["f", "p + 2", "p + 37"], ["p", "i + 5", "i + 42"], ["i", 4, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"i": 4}, "is_reverse": true}}
| 4,283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 3; u = e + 7; o = f + 11; a = n + 20; x = u + 6; c = w + 6; f = p + 2; z = k + 16; n = z + 4; e = o + 11; p = i + 5; i = 4; k = i + 1. Given that i = 4, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 7 to x, which gives x = e + 13.\n2. Substitute e = o + 11 to x, which gives x = o + 24.\n3. Substitute o = f + 11 to x, which gives x = f + 35.\n4. Substitute f = p + 2 to x, which gives x = p + 37.\n5. Substitute p = i + 5 to x, which gives x = i + 42.\n6. Substitute i = 4 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 4283,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 3; u = e + 7; o = f + 11; a = n + 20; x = u + 6; c = w + 6; f = p + 2; z = k + 16; n = z + 4; e = o + 11; p = i + 5; i = 4; k = i + 1. Given that i = 4, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 3", "e": "b + 16", "t": "e + 11", "z": "t + 10", "f": "z + 8", "m": "f + 15", "s": "a + 15", "y": "s + 1", "w": "y + 18", "j": "w + 18", "c": "j + 11", "o": "c + 10", "a": 8}, "premises": {"a": 8}, "target": "m"}, "answer": {"steps": [["f", "z + 8", "z + 23"], ["z", "t + 10", "t + 33"], ["t", "e + 11", "e + 44"], ["e", "b + 16", "b + 60"], ["b", "a + 3", "a + 63"], ["a", 8, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"a": 8}, "is_reverse": true}}
| 4,284
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 15; e = b + 16; c = j + 11; y = s + 1; j = w + 18; o = c + 10; a = 8; f = z + 8; z = t + 10; w = y + 18; m = f + 15; b = a + 3; t = e + 11. If a = 8, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 8 to m, which gives m = z + 23.\n2. Substitute z = t + 10 to m, which gives m = t + 33.\n3. Substitute t = e + 11 to m, which gives m = e + 44.\n4. Substitute e = b + 16 to m, which gives m = b + 60.\n5. Substitute b = a + 3 to m, which gives m = a + 63.\n6. Substitute a = 8 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 4284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = a + 15; e = b + 16; c = j + 11; y = s + 1; j = w + 18; o = c + 10; a = 8; f = z + 8; z = t + 10; w = y + 18; m = f + 15; b = a + 3; t = e + 11. If a = 8, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 18", "f": "y + 8", "r": "f + 6", "n": "r + 6", "x": "n + 11", "i": "x + 9", "v": "g + 7", "p": "v + 11", "t": "p + 7", "a": "t + 1", "b": "a + 7", "j": "b + 3", "g": 11}, "premises": {"g": 11}, "target": "i"}, "answer": {"steps": [["x", "n + 11", "n + 20"], ["n", "r + 6", "r + 26"], ["r", "f + 6", "f + 32"], ["f", "y + 8", "y + 40"], ["y", "g + 18", "g + 58"], ["g", 11, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"g": 11}, "is_reverse": true}}
| 4,285
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = n + 11; i = x + 9; p = v + 11; g = 11; r = f + 6; a = t + 1; t = p + 7; v = g + 7; y = g + 18; b = a + 7; f = y + 8; n = r + 6; j = b + 3. Given that g = 11, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 11 to i, which gives i = n + 20.\n2. Substitute n = r + 6 to i, which gives i = r + 26.\n3. Substitute r = f + 6 to i, which gives i = f + 32.\n4. Substitute f = y + 8 to i, which gives i = y + 40.\n5. Substitute y = g + 18 to i, which gives i = g + 58.\n6. Substitute g = 11 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 4285,
"question": "Suppose a collection of variables is related by the following definitions: x = n + 11; i = x + 9; p = v + 11; g = 11; r = f + 6; a = t + 1; t = p + 7; v = g + 7; y = g + 18; b = a + 7; f = y + 8; n = r + 6; j = b + 3. Given that g = 11, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 6", "i": "b + 16", "z": "i + 9", "f": "z + 6", "d": "f + 12", "q": "d + 13", "n": "x + 7", "p": "n + 17", "v": "p + 20", "y": "v + 17", "j": "y + 11", "e": "j + 15", "x": 15}, "premises": {"x": 15}, "target": "q"}, "answer": {"steps": [["d", "f + 12", "f + 25"], ["f", "z + 6", "z + 31"], ["z", "i + 9", "i + 40"], ["i", "b + 16", "b + 56"], ["b", "x + 6", "x + 62"], ["x", 15, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"x": 15}, "is_reverse": true}}
| 4,286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 15; b = x + 6; f = z + 6; n = x + 7; e = j + 15; d = f + 12; j = y + 11; q = d + 13; p = n + 17; i = b + 16; v = p + 20; y = v + 17; z = i + 9. If x = 15, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 12 to q, which gives q = f + 25.\n2. Substitute f = z + 6 to q, which gives q = z + 31.\n3. Substitute z = i + 9 to q, which gives q = i + 40.\n4. Substitute i = b + 16 to q, which gives q = b + 56.\n5. Substitute b = x + 6 to q, which gives q = x + 62.\n6. Substitute x = 15 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 4286,
"question": "Consider a system of variables where each variable is defined as follows: x = 15; b = x + 6; f = z + 6; n = x + 7; e = j + 15; d = f + 12; j = y + 11; q = d + 13; p = n + 17; i = b + 16; v = p + 20; y = v + 17; z = i + 9. If x = 15, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 10", "e": "t + 7", "d": "e + 15", "k": "d + 10", "z": "k + 8", "g": "z + 5", "s": "j + 2", "n": "s + 5", "i": "n + 14", "b": "i + 2", "m": "b + 16", "c": "m + 13", "j": 6}, "premises": {"j": 6}, "target": "g"}, "answer": {"steps": [["z", "k + 8", "k + 13"], ["k", "d + 10", "d + 23"], ["d", "e + 15", "e + 38"], ["e", "t + 7", "t + 45"], ["t", "j + 10", "j + 55"], ["j", 6, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"j": 6}, "is_reverse": true}}
| 4,287
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 10; j = 6; c = m + 13; m = b + 16; s = j + 2; e = t + 7; n = s + 5; z = k + 8; d = e + 15; g = z + 5; b = i + 2; t = j + 10; i = n + 14. If j = 6, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 8 to g, which gives g = k + 13.\n2. Substitute k = d + 10 to g, which gives g = d + 23.\n3. Substitute d = e + 15 to g, which gives g = e + 38.\n4. Substitute e = t + 7 to g, which gives g = t + 45.\n5. Substitute t = j + 10 to g, which gives g = j + 55.\n6. Substitute j = 6 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 4287,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 10; j = 6; c = m + 13; m = b + 16; s = j + 2; e = t + 7; n = s + 5; z = k + 8; d = e + 15; g = z + 5; b = i + 2; t = j + 10; i = n + 14. If j = 6, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 10", "s": "f + 13", "n": "s + 6", "l": "n + 6", "k": "l + 2", "z": "k + 9", "q": "j + 3", "t": "q + 12", "d": "t + 5", "b": "d + 7", "e": "b + 11", "g": "e + 16", "j": 18}, "premises": {"j": 18}, "target": "z"}, "answer": {"steps": [["k", "l + 2", "l + 11"], ["l", "n + 6", "n + 17"], ["n", "s + 6", "s + 23"], ["s", "f + 13", "f + 36"], ["f", "j + 10", "j + 46"], ["j", 18, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"j": 18}, "is_reverse": true}}
| 4,288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = j + 10; e = b + 11; g = e + 16; q = j + 3; z = k + 9; l = n + 6; b = d + 7; n = s + 6; d = t + 5; j = 18; t = q + 12; s = f + 13; k = l + 2. Given that j = 18, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 2 to z, which gives z = l + 11.\n2. Substitute l = n + 6 to z, which gives z = n + 17.\n3. Substitute n = s + 6 to z, which gives z = s + 23.\n4. Substitute s = f + 13 to z, which gives z = f + 36.\n5. Substitute f = j + 10 to z, which gives z = j + 46.\n6. Substitute j = 18 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 4288,
"question": "Suppose a collection of variables is related by the following definitions: f = j + 10; e = b + 11; g = e + 16; q = j + 3; z = k + 9; l = n + 6; b = d + 7; n = s + 6; d = t + 5; j = 18; t = q + 12; s = f + 13; k = l + 2. Given that j = 18, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 13", "o": "e + 12", "f": "o + 7", "a": "f + 7", "k": "a + 2", "j": "k + 15", "p": "d + 19", "s": "p + 11", "t": "s + 19", "i": "t + 11", "l": "i + 9", "v": "l + 10", "d": 4}, "premises": {"d": 4}, "target": "j"}, "answer": {"steps": [["k", "a + 2", "a + 17"], ["a", "f + 7", "f + 24"], ["f", "o + 7", "o + 31"], ["o", "e + 12", "e + 43"], ["e", "d + 13", "d + 56"], ["d", 4, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"d": 4}, "is_reverse": true}}
| 4,289
| 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 = e + 12; t = s + 19; i = t + 11; j = k + 15; e = d + 13; d = 4; a = f + 7; f = o + 7; v = l + 10; k = a + 2; p = d + 19; s = p + 11; l = i + 9. If d = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 2 to j, which gives j = a + 17.\n2. Substitute a = f + 7 to j, which gives j = f + 24.\n3. Substitute f = o + 7 to j, which gives j = o + 31.\n4. Substitute o = e + 12 to j, which gives j = e + 43.\n5. Substitute e = d + 13 to j, which gives j = d + 56.\n6. Substitute d = 4 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 4289,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 12; t = s + 19; i = t + 11; j = k + 15; e = d + 13; d = 4; a = f + 7; f = o + 7; v = l + 10; k = a + 2; p = d + 19; s = p + 11; l = i + 9. If d = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"v": "g + 13", "u": "v + 1", "x": "u + 4", "q": "x + 20", "r": "q + 13", "e": "r + 13", "n": "g + 4", "s": "n + 17", "l": "s + 8", "b": "l + 13", "p": "b + 12", "o": "p + 1", "g": 4}, "premises": {"g": 4}, "target": "e"}, "answer": {"steps": [["r", "q + 13", "q + 26"], ["q", "x + 20", "x + 46"], ["x", "u + 4", "u + 50"], ["u", "v + 1", "v + 51"], ["v", "g + 13", "g + 64"], ["g", 4, "68"]], "target_var_name": "e", "target_value": 68, "value_dict": {"g": 4}, "is_reverse": true}}
| 4,290
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 13; u = v + 1; n = g + 4; b = l + 13; o = p + 1; l = s + 8; p = b + 12; x = u + 4; r = q + 13; g = 4; q = x + 20; e = r + 13; s = n + 17. Given that g = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 13 to e, which gives e = q + 26.\n2. Substitute q = x + 20 to e, which gives e = x + 46.\n3. Substitute x = u + 4 to e, which gives e = u + 50.\n4. Substitute u = v + 1 to e, which gives e = v + 51.\n5. Substitute v = g + 13 to e, which gives e = g + 64.\n6. Substitute g = 4 to e, which gives e = 68.\n\nThus, the final answer is e = \\boxed{68}.",
"index": 4290,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 13; u = v + 1; n = g + 4; b = l + 13; o = p + 1; l = s + 8; p = b + 12; x = u + 4; r = q + 13; g = 4; q = x + 20; e = r + 13; s = n + 17. Given that g = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 20", "c": "q + 4", "i": "c + 8", "z": "i + 5", "j": "z + 15", "o": "j + 8", "w": "p + 11", "n": "w + 10", "s": "n + 7", "f": "s + 10", "d": "f + 2", "h": "d + 16", "p": 3}, "premises": {"p": 3}, "target": "o"}, "answer": {"steps": [["j", "z + 15", "z + 23"], ["z", "i + 5", "i + 28"], ["i", "c + 8", "c + 36"], ["c", "q + 4", "q + 40"], ["q", "p + 20", "p + 60"], ["p", 3, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"p": 3}, "is_reverse": true}}
| 4,291
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 4; n = w + 10; f = s + 10; s = n + 7; i = c + 8; h = d + 16; j = z + 15; p = 3; q = p + 20; o = j + 8; w = p + 11; d = f + 2; z = i + 5. If p = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 15 to o, which gives o = z + 23.\n2. Substitute z = i + 5 to o, which gives o = i + 28.\n3. Substitute i = c + 8 to o, which gives o = c + 36.\n4. Substitute c = q + 4 to o, which gives o = q + 40.\n5. Substitute q = p + 20 to o, which gives o = p + 60.\n6. Substitute p = 3 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 4291,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 4; n = w + 10; f = s + 10; s = n + 7; i = c + 8; h = d + 16; j = z + 15; p = 3; q = p + 20; o = j + 8; w = p + 11; d = f + 2; z = i + 5. If p = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 11", "t": "w + 10", "q": "t + 5", "m": "q + 5", "j": "m + 1", "p": "j + 17", "c": "r + 3", "u": "c + 7", "f": "u + 3", "d": "f + 13", "h": "d + 20", "o": "h + 11", "r": 13}, "premises": {"r": 13}, "target": "p"}, "answer": {"steps": [["j", "m + 1", "m + 18"], ["m", "q + 5", "q + 23"], ["q", "t + 5", "t + 28"], ["t", "w + 10", "w + 38"], ["w", "r + 11", "r + 49"], ["r", 13, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"r": 13}, "is_reverse": true}}
| 4,292
| 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 = t + 5; h = d + 20; j = m + 1; f = u + 3; m = q + 5; u = c + 7; d = f + 13; t = w + 10; r = 13; p = j + 17; w = r + 11; o = h + 11; c = r + 3. If r = 13, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = m + 1 to p, which gives p = m + 18.\n2. Substitute m = q + 5 to p, which gives p = q + 23.\n3. Substitute q = t + 5 to p, which gives p = t + 28.\n4. Substitute t = w + 10 to p, which gives p = w + 38.\n5. Substitute w = r + 11 to p, which gives p = r + 49.\n6. Substitute r = 13 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 4292,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 5; h = d + 20; j = m + 1; f = u + 3; m = q + 5; u = c + 7; d = f + 13; t = w + 10; r = 13; p = j + 17; w = r + 11; o = h + 11; c = r + 3. If r = 13, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 3", "t": "c + 3", "m": "t + 1", "y": "m + 2", "b": "y + 17", "l": "b + 19", "e": "i + 3", "n": "e + 11", "a": "n + 8", "k": "a + 10", "v": "k + 16", "q": "v + 13", "i": 2}, "premises": {"i": 2}, "target": "l"}, "answer": {"steps": [["b", "y + 17", "y + 36"], ["y", "m + 2", "m + 38"], ["m", "t + 1", "t + 39"], ["t", "c + 3", "c + 42"], ["c", "i + 3", "i + 45"], ["i", 2, "47"]], "target_var_name": "l", "target_value": 47, "value_dict": {"i": 2}, "is_reverse": true}}
| 4,293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 8; t = c + 3; m = t + 1; n = e + 11; l = b + 19; b = y + 17; v = k + 16; k = a + 10; e = i + 3; q = v + 13; c = i + 3; i = 2; y = m + 2. Given that i = 2, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 17 to l, which gives l = y + 36.\n2. Substitute y = m + 2 to l, which gives l = m + 38.\n3. Substitute m = t + 1 to l, which gives l = t + 39.\n4. Substitute t = c + 3 to l, which gives l = c + 42.\n5. Substitute c = i + 3 to l, which gives l = i + 45.\n6. Substitute i = 2 to l, which gives l = 47.\n\nThus, the final answer is l = \\boxed{47}.",
"index": 4293,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 8; t = c + 3; m = t + 1; n = e + 11; l = b + 19; b = y + 17; v = k + 16; k = a + 10; e = i + 3; q = v + 13; c = i + 3; i = 2; y = m + 2. Given that i = 2, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 7", "n": "m + 5", "o": "n + 18", "l": "o + 11", "a": "l + 16", "y": "a + 11", "k": "d + 12", "x": "k + 19", "z": "x + 17", "s": "z + 14", "r": "s + 5", "b": "r + 5", "d": 16}, "premises": {"d": 16}, "target": "y"}, "answer": {"steps": [["a", "l + 16", "l + 27"], ["l", "o + 11", "o + 38"], ["o", "n + 18", "n + 56"], ["n", "m + 5", "m + 61"], ["m", "d + 7", "d + 68"], ["d", 16, "84"]], "target_var_name": "y", "target_value": 84, "value_dict": {"d": 16}, "is_reverse": true}}
| 4,294
| 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 = l + 16; m = d + 7; n = m + 5; x = k + 19; d = 16; z = x + 17; b = r + 5; s = z + 14; l = o + 11; r = s + 5; o = n + 18; k = d + 12; y = a + 11. If d = 16, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 16 to y, which gives y = l + 27.\n2. Substitute l = o + 11 to y, which gives y = o + 38.\n3. Substitute o = n + 18 to y, which gives y = n + 56.\n4. Substitute n = m + 5 to y, which gives y = m + 61.\n5. Substitute m = d + 7 to y, which gives y = d + 68.\n6. Substitute d = 16 to y, which gives y = 84.\n\nThus, the final answer is y = \\boxed{84}.",
"index": 4294,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = l + 16; m = d + 7; n = m + 5; x = k + 19; d = 16; z = x + 17; b = r + 5; s = z + 14; l = o + 11; r = s + 5; o = n + 18; k = d + 12; y = a + 11. If d = 16, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 20", "a": "v + 7", "w": "a + 13", "h": "w + 2", "j": "h + 3", "o": "j + 2", "q": "r + 5", "s": "q + 13", "m": "s + 7", "n": "m + 3", "k": "n + 4", "f": "k + 9", "r": 13}, "premises": {"r": 13}, "target": "o"}, "answer": {"steps": [["j", "h + 3", "h + 5"], ["h", "w + 2", "w + 7"], ["w", "a + 13", "a + 20"], ["a", "v + 7", "v + 27"], ["v", "r + 20", "r + 47"], ["r", 13, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"r": 13}, "is_reverse": true}}
| 4,295
| 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 = 13; w = a + 13; k = n + 4; o = j + 2; m = s + 7; s = q + 13; j = h + 3; h = w + 2; a = v + 7; n = m + 3; f = k + 9; v = r + 20; q = r + 5. If r = 13, what is the resulting 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 j = h + 3 to o, which gives o = h + 5.\n2. Substitute h = w + 2 to o, which gives o = w + 7.\n3. Substitute w = a + 13 to o, which gives o = a + 20.\n4. Substitute a = v + 7 to o, which gives o = v + 27.\n5. Substitute v = r + 20 to o, which gives o = r + 47.\n6. Substitute r = 13 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 4295,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 13; w = a + 13; k = n + 4; o = j + 2; m = s + 7; s = q + 13; j = h + 3; h = w + 2; a = v + 7; n = m + 3; f = k + 9; v = r + 20; q = r + 5. If r = 13, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"o": "l + 12", "a": "o + 14", "x": "a + 10", "f": "x + 7", "e": "f + 19", "g": "e + 19", "n": "l + 11", "q": "n + 7", "p": "q + 6", "j": "p + 16", "s": "j + 14", "w": "s + 13", "l": 8}, "premises": {"l": 8}, "target": "g"}, "answer": {"steps": [["e", "f + 19", "f + 38"], ["f", "x + 7", "x + 45"], ["x", "a + 10", "a + 55"], ["a", "o + 14", "o + 69"], ["o", "l + 12", "l + 81"], ["l", 8, "89"]], "target_var_name": "g", "target_value": 89, "value_dict": {"l": 8}, "is_reverse": true}}
| 4,296
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 19; f = x + 7; l = 8; a = o + 14; j = p + 16; n = l + 11; o = l + 12; q = n + 7; x = a + 10; g = e + 19; p = q + 6; s = j + 14; w = s + 13. Given that l = 8, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 19 to g, which gives g = f + 38.\n2. Substitute f = x + 7 to g, which gives g = x + 45.\n3. Substitute x = a + 10 to g, which gives g = a + 55.\n4. Substitute a = o + 14 to g, which gives g = o + 69.\n5. Substitute o = l + 12 to g, which gives g = l + 81.\n6. Substitute l = 8 to g, which gives g = 89.\n\nThus, the final answer is g = \\boxed{89}.",
"index": 4296,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 19; f = x + 7; l = 8; a = o + 14; j = p + 16; n = l + 11; o = l + 12; q = n + 7; x = a + 10; g = e + 19; p = q + 6; s = j + 14; w = s + 13. Given that l = 8, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 2", "g": "h + 7", "l": "g + 15", "m": "l + 15", "s": "m + 9", "d": "s + 3", "c": "o + 1", "b": "c + 7", "z": "b + 2", "a": "z + 15", "j": "a + 5", "r": "j + 17", "o": 12}, "premises": {"o": 12}, "target": "d"}, "answer": {"steps": [["s", "m + 9", "m + 12"], ["m", "l + 15", "l + 27"], ["l", "g + 15", "g + 42"], ["g", "h + 7", "h + 49"], ["h", "o + 2", "o + 51"], ["o", 12, "63"]], "target_var_name": "d", "target_value": 63, "value_dict": {"o": 12}, "is_reverse": true}}
| 4,297
| 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 + 5; g = h + 7; r = j + 17; c = o + 1; l = g + 15; a = z + 15; m = l + 15; d = s + 3; h = o + 2; b = c + 7; o = 12; s = m + 9; z = b + 2. If o = 12, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 9 to d, which gives d = m + 12.\n2. Substitute m = l + 15 to d, which gives d = l + 27.\n3. Substitute l = g + 15 to d, which gives d = g + 42.\n4. Substitute g = h + 7 to d, which gives d = h + 49.\n5. Substitute h = o + 2 to d, which gives d = o + 51.\n6. Substitute o = 12 to d, which gives d = 63.\n\nThus, the final answer is d = \\boxed{63}.",
"index": 4297,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 5; g = h + 7; r = j + 17; c = o + 1; l = g + 15; a = z + 15; m = l + 15; d = s + 3; h = o + 2; b = c + 7; o = 12; s = m + 9; z = b + 2. If o = 12, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 11", "x": "a + 11", "i": "x + 9", "j": "i + 12", "r": "j + 19", "n": "r + 16", "o": "p + 2", "k": "o + 12", "f": "k + 3", "z": "f + 10", "t": "z + 13", "s": "t + 9", "p": 15}, "premises": {"p": 15}, "target": "n"}, "answer": {"steps": [["r", "j + 19", "j + 35"], ["j", "i + 12", "i + 47"], ["i", "x + 9", "x + 56"], ["x", "a + 11", "a + 67"], ["a", "p + 11", "p + 78"], ["p", 15, "93"]], "target_var_name": "n", "target_value": 93, "value_dict": {"p": 15}, "is_reverse": true}}
| 4,298
| 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 + 16; t = z + 13; a = p + 11; j = i + 12; i = x + 9; z = f + 10; x = a + 11; p = 15; s = t + 9; o = p + 2; r = j + 19; f = k + 3; k = o + 12. If p = 15, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 19 to n, which gives n = j + 35.\n2. Substitute j = i + 12 to n, which gives n = i + 47.\n3. Substitute i = x + 9 to n, which gives n = x + 56.\n4. Substitute x = a + 11 to n, which gives n = a + 67.\n5. Substitute a = p + 11 to n, which gives n = p + 78.\n6. Substitute p = 15 to n, which gives n = 93.\n\nThus, the final answer is n = \\boxed{93}.",
"index": 4298,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 16; t = z + 13; a = p + 11; j = i + 12; i = x + 9; z = f + 10; x = a + 11; p = 15; s = t + 9; o = p + 2; r = j + 19; f = k + 3; k = o + 12. If p = 15, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 5", "m": "f + 8", "n": "m + 1", "d": "n + 18", "i": "d + 13", "c": "i + 3", "b": "q + 9", "h": "b + 2", "o": "h + 13", "e": "o + 16", "x": "e + 9", "a": "x + 2", "q": 4}, "premises": {"q": 4}, "target": "c"}, "answer": {"steps": [["i", "d + 13", "d + 16"], ["d", "n + 18", "n + 34"], ["n", "m + 1", "m + 35"], ["m", "f + 8", "f + 43"], ["f", "q + 5", "q + 48"], ["q", 4, "52"]], "target_var_name": "c", "target_value": 52, "value_dict": {"q": 4}, "is_reverse": true}}
| 4,299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 16; a = x + 2; n = m + 1; h = b + 2; c = i + 3; f = q + 5; m = f + 8; b = q + 9; o = h + 13; x = e + 9; q = 4; d = n + 18; i = d + 13. Given that q = 4, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 13 to c, which gives c = d + 16.\n2. Substitute d = n + 18 to c, which gives c = n + 34.\n3. Substitute n = m + 1 to c, which gives c = m + 35.\n4. Substitute m = f + 8 to c, which gives c = f + 43.\n5. Substitute f = q + 5 to c, which gives c = q + 48.\n6. Substitute q = 4 to c, which gives c = 52.\n\nThus, the final answer is c = \\boxed{52}.",
"index": 4299,
"question": "Suppose a collection of variables is related by the following definitions: e = o + 16; a = x + 2; n = m + 1; h = b + 2; c = i + 3; f = q + 5; m = f + 8; b = q + 9; o = h + 13; x = e + 9; q = 4; d = n + 18; i = d + 13. Given that q = 4, find the value of c.",
"split": "train"
}
|
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