meta string | id int64 | problem_solution_idx int64 | world_id string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"r": "h + 9", "d": "r + 6", "g": "d + 20", "v": "g + 2", "q": "v + 15", "e": "q + 15", "w": "h + 5", "m": "w + 19", "f": "m + 13", "i": "f + 8", "p": "i + 7", "l": "p + 1", "h": 8}, "premises": {"h": 8}, "target": "e"}, "answer": {"steps": [["r", "h + 9", 17], ["d", "r + 6", 23], ["g", "d + 20", 43], ["v", "g + 2", 45], ["q", "v + 15", 60], ["e", "q + 15", 75]], "target_var_name": "e", "target_value": 75, "value_dict": {"h": 8, "r": 17, "d": 23, "g": 43, "v": 45, "q": 60, "e": 75}, "is_reverse": false}} | 500 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 1; v = g + 2; r = h + 9; e = q + 15; p = i + 7; q = v + 15; i = f + 8; h = 8; w = h + 5; d = r + 6; f = m + 13; m = w + 19; g = d + 20. If h = 8, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = h + 9, which gives r = 17.\n2. Compute d using d = r + 6, which gives d = 23.\n3. Compute g using g = d + 20, which gives g = 43.\n4. Compute v using v = g + 2, which gives v = 45.\n5. Compute q using q = v + 15, which gives q = 60.\n6. Compute e using e = q + 15, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 500,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 1; v = g + 2; r = h + 9; e = q + 15; p = i + 7; q = v + 15; i = f + 8; h = 8; w = h + 5; d = r + 6; f = m + 13; m = w + 19; g = d + 20. If h = 8, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "d + 14", "k": "e + 17", "i": "k + 7", "c": "i + 13", "t": "c + 20", "l": "t + 7", "x": "d + 7", "y": "x + 15", "o": "y + 17", "f": "o + 3", "n": "f + 12", "b": "n + 17", "d": 3}, "premises": {"d": 3}, "target": "l"}, "answer": {"steps": [["t", "c + 20", "c + 27"], ["c", "i + 13", "i + 40"], ["i", "k + 7", "k + 47"], ["k", "e + 17", "e + 64"], ["e", "d + 14", "d + 78"], ["d", 3, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"d": 3}, "is_reverse": true}} | 501 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = e + 17; f = o + 3; l = t + 7; d = 3; x = d + 7; e = d + 14; o = y + 17; c = i + 13; i = k + 7; n = f + 12; y = x + 15; b = n + 17; t = c + 20. Given that d = 3, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 20 to l, which gives l = c + 27.\n2. Substitute c = i + 13 to l, which gives l = i + 40.\n3. Substitute i = k + 7 to l, which gives l = k + 47.\n4. Substitute k = e + 17 to l, which gives l = e + 64.\n5. Substitute e = d + 14 to l, which gives l = d + 78.\n6. Substitute d = 3 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 501,
"question": "Suppose a collection of variables is related by the following definitions: k = e + 17; f = o + 3; l = t + 7; d = 3; x = d + 7; e = d + 14; o = y + 17; c = i + 13; i = k + 7; n = f + 12; y = x + 15; b = n + 17; t = c + 20. Given that d = 3, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 4", "q": "z + 18", "m": "q + 15", "j": "m + 6", "i": "j + 2", "r": "i + 5", "n": "h + 5", "k": "n + 4", "a": "k + 6", "x": "a + 7", "s": "x + 12", "c": "s + 4", "h": 13}, "premises": {"h": 13}, "target": "r"}, "answer": {"steps": [["z", "h + 4", 17], ["q", "z + 18", 35], ["m", "q + 15", 50], ["j", "m + 6", 56], ["i", "j + 2", 58], ["r", "i + 5", 63]], "target_var_name": "r", "target_value": 63, "value_dict": {"h": 13, "z": 17, "q": 35, "m": 50, "j": 56, "i": 58, "r": 63}, "is_reverse": false}} | 502 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 15; i = j + 2; q = z + 18; z = h + 4; x = a + 7; s = x + 12; j = m + 6; a = k + 6; r = i + 5; k = n + 4; h = 13; c = s + 4; n = h + 5. If h = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = h + 4, which gives z = 17.\n2. Compute q using q = z + 18, which gives q = 35.\n3. Compute m using m = q + 15, which gives m = 50.\n4. Compute j using j = m + 6, which gives j = 56.\n5. Compute i using i = j + 2, which gives i = 58.\n6. Compute r using r = i + 5, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 502,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 15; i = j + 2; q = z + 18; z = h + 4; x = a + 7; s = x + 12; j = m + 6; a = k + 6; r = i + 5; k = n + 4; h = 13; c = s + 4; n = h + 5. If h = 13, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 12", "h": "y + 3", "w": "h + 17", "x": "w + 8", "l": "x + 11", "e": "l + 19", "c": "p + 20", "z": "c + 5", "a": "z + 3", "f": "a + 16", "k": "f + 18", "r": "k + 20", "p": 5}, "premises": {"p": 5}, "target": "e"}, "answer": {"steps": [["l", "x + 11", "x + 30"], ["x", "w + 8", "w + 38"], ["w", "h + 17", "h + 55"], ["h", "y + 3", "y + 58"], ["y", "p + 12", "p + 70"], ["p", 5, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"p": 5}, "is_reverse": true}} | 503 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 19; k = f + 18; x = w + 8; w = h + 17; c = p + 20; y = p + 12; r = k + 20; p = 5; z = c + 5; f = a + 16; h = y + 3; a = z + 3; l = x + 11. If p = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 11 to e, which gives e = x + 30.\n2. Substitute x = w + 8 to e, which gives e = w + 38.\n3. Substitute w = h + 17 to e, which gives e = h + 55.\n4. Substitute h = y + 3 to e, which gives e = y + 58.\n5. Substitute y = p + 12 to e, which gives e = p + 70.\n6. Substitute p = 5 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 503,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 19; k = f + 18; x = w + 8; w = h + 17; c = p + 20; y = p + 12; r = k + 20; p = 5; z = c + 5; f = a + 16; h = y + 3; a = z + 3; l = x + 11. If p = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 9", "b": "a + 1", "x": "b + 15", "r": "x + 15", "s": "r + 14", "e": "s + 11", "u": "n + 3", "l": "u + 2", "m": "l + 16", "o": "m + 20", "t": "o + 16", "g": "t + 12", "n": 2}, "premises": {"n": 2}, "target": "e"}, "answer": {"steps": [["s", "r + 14", "r + 25"], ["r", "x + 15", "x + 40"], ["x", "b + 15", "b + 55"], ["b", "a + 1", "a + 56"], ["a", "n + 9", "n + 65"], ["n", 2, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"n": 2}, "is_reverse": true}} | 504 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 2; r = x + 15; e = s + 11; b = a + 1; n = 2; u = n + 3; t = o + 16; a = n + 9; o = m + 20; x = b + 15; g = t + 12; s = r + 14; m = l + 16. If n = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = r + 14 to e, which gives e = r + 25.\n2. Substitute r = x + 15 to e, which gives e = x + 40.\n3. Substitute x = b + 15 to e, which gives e = b + 55.\n4. Substitute b = a + 1 to e, which gives e = a + 56.\n5. Substitute a = n + 9 to e, which gives e = n + 65.\n6. Substitute n = 2 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 504,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 2; r = x + 15; e = s + 11; b = a + 1; n = 2; u = n + 3; t = o + 16; a = n + 9; o = m + 20; x = b + 15; g = t + 12; s = r + 14; m = l + 16. If n = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 11", "n": "b + 2", "q": "n + 1", "e": "q + 8", "f": "e + 11", "c": "f + 15", "v": "j + 8", "g": "v + 3", "x": "g + 4", "i": "x + 3", "d": "i + 10", "w": "d + 14", "j": 5}, "premises": {"j": 5}, "target": "c"}, "answer": {"steps": [["f", "e + 11", "e + 26"], ["e", "q + 8", "q + 34"], ["q", "n + 1", "n + 35"], ["n", "b + 2", "b + 37"], ["b", "j + 11", "j + 48"], ["j", 5, "53"]], "target_var_name": "c", "target_value": 53, "value_dict": {"j": 5}, "is_reverse": true}} | 505 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 14; c = f + 15; f = e + 11; b = j + 11; x = g + 4; e = q + 8; n = b + 2; v = j + 8; g = v + 3; d = i + 10; q = n + 1; i = x + 3; j = 5. If j = 5, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 11 to c, which gives c = e + 26.\n2. Substitute e = q + 8 to c, which gives c = q + 34.\n3. Substitute q = n + 1 to c, which gives c = n + 35.\n4. Substitute n = b + 2 to c, which gives c = b + 37.\n5. Substitute b = j + 11 to c, which gives c = j + 48.\n6. Substitute j = 5 to c, which gives c = 53.\n\nThus, the final answer is c = \\boxed{53}.",
"index": 505,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = d + 14; c = f + 15; f = e + 11; b = j + 11; x = g + 4; e = q + 8; n = b + 2; v = j + 8; g = v + 3; d = i + 10; q = n + 1; i = x + 3; j = 5. If j = 5, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 19", "a": "v + 9", "d": "a + 3", "h": "d + 6", "z": "h + 18", "q": "z + 11", "o": "y + 13", "e": "o + 20", "n": "e + 12", "t": "n + 2", "w": "t + 5", "k": "w + 2", "y": 3}, "premises": {"y": 3}, "target": "q"}, "answer": {"steps": [["v", "y + 19", 22], ["a", "v + 9", 31], ["d", "a + 3", 34], ["h", "d + 6", 40], ["z", "h + 18", 58], ["q", "z + 11", 69]], "target_var_name": "q", "target_value": 69, "value_dict": {"y": 3, "v": 22, "a": 31, "d": 34, "h": 40, "z": 58, "q": 69}, "is_reverse": false}} | 506 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = 3; a = v + 9; d = a + 3; v = y + 19; e = o + 20; o = y + 13; h = d + 6; w = t + 5; t = n + 2; n = e + 12; k = w + 2; q = z + 11; z = h + 18. If y = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = y + 19, which gives v = 22.\n2. Compute a using a = v + 9, which gives a = 31.\n3. Compute d using d = a + 3, which gives d = 34.\n4. Compute h using h = d + 6, which gives h = 40.\n5. Compute z using z = h + 18, which gives z = 58.\n6. Compute q using q = z + 11, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 506,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = 3; a = v + 9; d = a + 3; v = y + 19; e = o + 20; o = y + 13; h = d + 6; w = t + 5; t = n + 2; n = e + 12; k = w + 2; q = z + 11; z = h + 18. If y = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 2", "y": "e + 9", "d": "y + 16", "u": "d + 3", "r": "u + 2", "p": "r + 3", "s": "v + 1", "o": "s + 11", "i": "o + 20", "j": "i + 11", "g": "j + 11", "z": "g + 19", "v": 10}, "premises": {"v": 10}, "target": "p"}, "answer": {"steps": [["e", "v + 2", 12], ["y", "e + 9", 21], ["d", "y + 16", 37], ["u", "d + 3", 40], ["r", "u + 2", 42], ["p", "r + 3", 45]], "target_var_name": "p", "target_value": 45, "value_dict": {"v": 10, "e": 12, "y": 21, "d": 37, "u": 40, "r": 42, "p": 45}, "is_reverse": false}} | 507 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 2; j = i + 11; o = s + 11; y = e + 9; d = y + 16; z = g + 19; i = o + 20; v = 10; s = v + 1; p = r + 3; u = d + 3; r = u + 2; g = j + 11. If v = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = v + 2, which gives e = 12.\n2. Compute y using y = e + 9, which gives y = 21.\n3. Compute d using d = y + 16, which gives d = 37.\n4. Compute u using u = d + 3, which gives u = 40.\n5. Compute r using r = u + 2, which gives r = 42.\n6. Compute p using p = r + 3, which gives p = 45.\n\nThus, the final answer is p = \\boxed{45}.",
"index": 507,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 2; j = i + 11; o = s + 11; y = e + 9; d = y + 16; z = g + 19; i = o + 20; v = 10; s = v + 1; p = r + 3; u = d + 3; r = u + 2; g = j + 11. If v = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "u + 12", "m": "b + 5", "o": "m + 9", "l": "o + 6", "x": "l + 19", "y": "x + 5", "t": "u + 17", "k": "t + 14", "q": "k + 11", "f": "q + 1", "i": "f + 15", "r": "i + 19", "u": 1}, "premises": {"u": 1}, "target": "y"}, "answer": {"steps": [["x", "l + 19", "l + 24"], ["l", "o + 6", "o + 30"], ["o", "m + 9", "m + 39"], ["m", "b + 5", "b + 44"], ["b", "u + 12", "u + 56"], ["u", 1, "57"]], "target_var_name": "y", "target_value": 57, "value_dict": {"u": 1}, "is_reverse": true}} | 508 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 15; o = m + 9; b = u + 12; y = x + 5; k = t + 14; l = o + 6; t = u + 17; x = l + 19; q = k + 11; u = 1; m = b + 5; f = q + 1; r = i + 19. If u = 1, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 19 to y, which gives y = l + 24.\n2. Substitute l = o + 6 to y, which gives y = o + 30.\n3. Substitute o = m + 9 to y, which gives y = m + 39.\n4. Substitute m = b + 5 to y, which gives y = b + 44.\n5. Substitute b = u + 12 to y, which gives y = u + 56.\n6. Substitute u = 1 to y, which gives y = 57.\n\nThus, the final answer is y = \\boxed{57}.",
"index": 508,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = f + 15; o = m + 9; b = u + 12; y = x + 5; k = t + 14; l = o + 6; t = u + 17; x = l + 19; q = k + 11; u = 1; m = b + 5; f = q + 1; r = i + 19. If u = 1, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 6", "f": "s + 19", "b": "f + 20", "c": "b + 13", "w": "c + 8", "q": "w + 10", "n": "t + 19", "p": "n + 16", "r": "p + 19", "d": "r + 15", "a": "d + 13", "z": "a + 1", "t": 18}, "premises": {"t": 18}, "target": "q"}, "answer": {"steps": [["s", "t + 6", 24], ["f", "s + 19", 43], ["b", "f + 20", 63], ["c", "b + 13", 76], ["w", "c + 8", 84], ["q", "w + 10", 94]], "target_var_name": "q", "target_value": 94, "value_dict": {"t": 18, "s": 24, "f": 43, "b": 63, "c": 76, "w": 84, "q": 94}, "is_reverse": false}} | 509 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 20; d = r + 15; z = a + 1; s = t + 6; c = b + 13; f = s + 19; q = w + 10; p = n + 16; r = p + 19; w = c + 8; a = d + 13; t = 18; n = t + 19. If t = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = t + 6, which gives s = 24.\n2. Compute f using f = s + 19, which gives f = 43.\n3. Compute b using b = f + 20, which gives b = 63.\n4. Compute c using c = b + 13, which gives c = 76.\n5. Compute w using w = c + 8, which gives w = 84.\n6. Compute q using q = w + 10, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 509,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 20; d = r + 15; z = a + 1; s = t + 6; c = b + 13; f = s + 19; q = w + 10; p = n + 16; r = p + 19; w = c + 8; a = d + 13; t = 18; n = t + 19. If t = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 16", "x": "t + 7", "r": "x + 17", "b": "r + 8", "h": "b + 19", "u": "h + 15", "i": "q + 14", "m": "i + 14", "a": "m + 19", "n": "a + 3", "s": "n + 20", "c": "s + 20", "q": 17}, "premises": {"q": 17}, "target": "u"}, "answer": {"steps": [["h", "b + 19", "b + 34"], ["b", "r + 8", "r + 42"], ["r", "x + 17", "x + 59"], ["x", "t + 7", "t + 66"], ["t", "q + 16", "q + 82"], ["q", 17, "99"]], "target_var_name": "u", "target_value": 99, "value_dict": {"q": 17}, "is_reverse": true}} | 510 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 3; b = r + 8; s = n + 20; a = m + 19; q = 17; r = x + 17; h = b + 19; m = i + 14; i = q + 14; c = s + 20; x = t + 7; t = q + 16; u = h + 15. Given that q = 17, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 19 to u, which gives u = b + 34.\n2. Substitute b = r + 8 to u, which gives u = r + 42.\n3. Substitute r = x + 17 to u, which gives u = x + 59.\n4. Substitute x = t + 7 to u, which gives u = t + 66.\n5. Substitute t = q + 16 to u, which gives u = q + 82.\n6. Substitute q = 17 to u, which gives u = 99.\n\nThus, the final answer is u = \\boxed{99}.",
"index": 510,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 3; b = r + 8; s = n + 20; a = m + 19; q = 17; r = x + 17; h = b + 19; m = i + 14; i = q + 14; c = s + 20; x = t + 7; t = q + 16; u = h + 15. Given that q = 17, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 16", "y": "v + 11", "a": "y + 9", "e": "a + 20", "t": "e + 6", "p": "t + 13", "x": "m + 4", "b": "x + 12", "i": "b + 12", "k": "i + 7", "z": "k + 12", "c": "z + 10", "m": 4}, "premises": {"m": 4}, "target": "p"}, "answer": {"steps": [["v", "m + 16", 20], ["y", "v + 11", 31], ["a", "y + 9", 40], ["e", "a + 20", 60], ["t", "e + 6", 66], ["p", "t + 13", 79]], "target_var_name": "p", "target_value": 79, "value_dict": {"m": 4, "v": 20, "y": 31, "a": 40, "e": 60, "t": 66, "p": 79}, "is_reverse": false}} | 511 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = y + 9; v = m + 16; p = t + 13; z = k + 12; c = z + 10; y = v + 11; m = 4; k = i + 7; t = e + 6; e = a + 20; b = x + 12; i = b + 12; x = m + 4. If m = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = m + 16, which gives v = 20.\n2. Compute y using y = v + 11, which gives y = 31.\n3. Compute a using a = y + 9, which gives a = 40.\n4. Compute e using e = a + 20, which gives e = 60.\n5. Compute t using t = e + 6, which gives t = 66.\n6. Compute p using p = t + 13, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 511,
"question": "Consider a system of variables where each variable is defined as follows: a = y + 9; v = m + 16; p = t + 13; z = k + 12; c = z + 10; y = v + 11; m = 4; k = i + 7; t = e + 6; e = a + 20; b = x + 12; i = b + 12; x = m + 4. If m = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 1", "w": "u + 6", "l": "w + 4", "p": "l + 12", "f": "p + 6", "a": "f + 12", "e": "k + 17", "j": "e + 8", "m": "j + 16", "y": "m + 2", "o": "y + 16", "g": "o + 10", "k": 8}, "premises": {"k": 8}, "target": "a"}, "answer": {"steps": [["f", "p + 6", "p + 18"], ["p", "l + 12", "l + 30"], ["l", "w + 4", "w + 34"], ["w", "u + 6", "u + 40"], ["u", "k + 1", "k + 41"], ["k", 8, "49"]], "target_var_name": "a", "target_value": 49, "value_dict": {"k": 8}, "is_reverse": true}} | 512 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 8; u = k + 1; a = f + 12; k = 8; m = j + 16; g = o + 10; f = p + 6; l = w + 4; p = l + 12; y = m + 2; o = y + 16; w = u + 6; e = k + 17. If k = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 6 to a, which gives a = p + 18.\n2. Substitute p = l + 12 to a, which gives a = l + 30.\n3. Substitute l = w + 4 to a, which gives a = w + 34.\n4. Substitute w = u + 6 to a, which gives a = u + 40.\n5. Substitute u = k + 1 to a, which gives a = k + 41.\n6. Substitute k = 8 to a, which gives a = 49.\n\nThus, the final answer is a = \\boxed{49}.",
"index": 512,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 8; u = k + 1; a = f + 12; k = 8; m = j + 16; g = o + 10; f = p + 6; l = w + 4; p = l + 12; y = m + 2; o = y + 16; w = u + 6; e = k + 17. If k = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 1", "o": "n + 12", "z": "o + 8", "u": "z + 2", "w": "u + 17", "j": "w + 16", "l": "r + 20", "v": "l + 15", "m": "v + 16", "e": "m + 16", "c": "e + 13", "p": "c + 7", "r": 11}, "premises": {"r": 11}, "target": "j"}, "answer": {"steps": [["n", "r + 1", 12], ["o", "n + 12", 24], ["z", "o + 8", 32], ["u", "z + 2", 34], ["w", "u + 17", 51], ["j", "w + 16", 67]], "target_var_name": "j", "target_value": 67, "value_dict": {"r": 11, "n": 12, "o": 24, "z": 32, "u": 34, "w": 51, "j": 67}, "is_reverse": false}} | 513 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 7; c = e + 13; r = 11; j = w + 16; z = o + 8; v = l + 15; m = v + 16; l = r + 20; u = z + 2; w = u + 17; o = n + 12; n = r + 1; e = m + 16. If r = 11, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = r + 1, which gives n = 12.\n2. Compute o using o = n + 12, which gives o = 24.\n3. Compute z using z = o + 8, which gives z = 32.\n4. Compute u using u = z + 2, which gives u = 34.\n5. Compute w using w = u + 17, which gives w = 51.\n6. Compute j using j = w + 16, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 513,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = c + 7; c = e + 13; r = 11; j = w + 16; z = o + 8; v = l + 15; m = v + 16; l = r + 20; u = z + 2; w = u + 17; o = n + 12; n = r + 1; e = m + 16. If r = 11, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 7", "y": "p + 4", "c": "y + 4", "b": "c + 12", "o": "b + 7", "m": "o + 10", "n": "r + 19", "d": "n + 14", "i": "d + 3", "h": "i + 17", "g": "h + 5", "x": "g + 1", "r": 17}, "premises": {"r": 17}, "target": "m"}, "answer": {"steps": [["p", "r + 7", 24], ["y", "p + 4", 28], ["c", "y + 4", 32], ["b", "c + 12", 44], ["o", "b + 7", 51], ["m", "o + 10", 61]], "target_var_name": "m", "target_value": 61, "value_dict": {"r": 17, "p": 24, "y": 28, "c": 32, "b": 44, "o": 51, "m": 61}, "is_reverse": false}} | 514 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = y + 4; m = o + 10; i = d + 3; y = p + 4; b = c + 12; n = r + 19; r = 17; d = n + 14; h = i + 17; g = h + 5; o = b + 7; p = r + 7; x = g + 1. Given that r = 17, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 7, which gives p = 24.\n2. Compute y using y = p + 4, which gives y = 28.\n3. Compute c using c = y + 4, which gives c = 32.\n4. Compute b using b = c + 12, which gives b = 44.\n5. Compute o using o = b + 7, which gives o = 51.\n6. Compute m using m = o + 10, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 514,
"question": "Suppose a collection of variables is related by the following definitions: c = y + 4; m = o + 10; i = d + 3; y = p + 4; b = c + 12; n = r + 19; r = 17; d = n + 14; h = i + 17; g = h + 5; o = b + 7; p = r + 7; x = g + 1. Given that r = 17, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 18", "x": "t + 19", "m": "x + 6", "s": "m + 19", "e": "s + 1", "o": "e + 19", "d": "k + 12", "h": "d + 17", "c": "h + 7", "b": "c + 7", "l": "b + 14", "r": "l + 3", "k": 13}, "premises": {"k": 13}, "target": "o"}, "answer": {"steps": [["t", "k + 18", 31], ["x", "t + 19", 50], ["m", "x + 6", 56], ["s", "m + 19", 75], ["e", "s + 1", 76], ["o", "e + 19", 95]], "target_var_name": "o", "target_value": 95, "value_dict": {"k": 13, "t": 31, "x": 50, "m": 56, "s": 75, "e": 76, "o": 95}, "is_reverse": false}} | 515 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 13; s = m + 19; l = b + 14; c = h + 7; m = x + 6; r = l + 3; o = e + 19; x = t + 19; e = s + 1; b = c + 7; d = k + 12; h = d + 17; t = k + 18. Given that k = 13, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = k + 18, which gives t = 31.\n2. Compute x using x = t + 19, which gives x = 50.\n3. Compute m using m = x + 6, which gives m = 56.\n4. Compute s using s = m + 19, which gives s = 75.\n5. Compute e using e = s + 1, which gives e = 76.\n6. Compute o using o = e + 19, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 515,
"question": "Suppose a collection of variables is related by the following definitions: k = 13; s = m + 19; l = b + 14; c = h + 7; m = x + 6; r = l + 3; o = e + 19; x = t + 19; e = s + 1; b = c + 7; d = k + 12; h = d + 17; t = k + 18. Given that k = 13, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 1", "d": "s + 8", "r": "d + 8", "c": "r + 1", "o": "c + 10", "a": "o + 18", "f": "q + 16", "g": "f + 19", "h": "g + 13", "i": "h + 20", "j": "i + 4", "l": "j + 2", "q": 20}, "premises": {"q": 20}, "target": "a"}, "answer": {"steps": [["s", "q + 1", 21], ["d", "s + 8", 29], ["r", "d + 8", 37], ["c", "r + 1", 38], ["o", "c + 10", 48], ["a", "o + 18", 66]], "target_var_name": "a", "target_value": 66, "value_dict": {"q": 20, "s": 21, "d": 29, "r": 37, "c": 38, "o": 48, "a": 66}, "is_reverse": false}} | 516 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 4; h = g + 13; c = r + 1; o = c + 10; i = h + 20; l = j + 2; r = d + 8; a = o + 18; s = q + 1; q = 20; g = f + 19; d = s + 8; f = q + 16. If q = 20, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = q + 1, which gives s = 21.\n2. Compute d using d = s + 8, which gives d = 29.\n3. Compute r using r = d + 8, which gives r = 37.\n4. Compute c using c = r + 1, which gives c = 38.\n5. Compute o using o = c + 10, which gives o = 48.\n6. Compute a using a = o + 18, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 516,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 4; h = g + 13; c = r + 1; o = c + 10; i = h + 20; l = j + 2; r = d + 8; a = o + 18; s = q + 1; q = 20; g = f + 19; d = s + 8; f = q + 16. If q = 20, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 13", "w": "f + 6", "a": "w + 12", "n": "a + 3", "e": "n + 2", "x": "e + 19", "o": "c + 18", "i": "o + 18", "d": "i + 6", "k": "d + 20", "q": "k + 5", "p": "q + 18", "c": 19}, "premises": {"c": 19}, "target": "x"}, "answer": {"steps": [["e", "n + 2", "n + 21"], ["n", "a + 3", "a + 24"], ["a", "w + 12", "w + 36"], ["w", "f + 6", "f + 42"], ["f", "c + 13", "c + 55"], ["c", 19, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"c": 19}, "is_reverse": true}} | 517 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 6; f = c + 13; p = q + 18; i = o + 18; c = 19; k = d + 20; o = c + 18; x = e + 19; q = k + 5; w = f + 6; e = n + 2; n = a + 3; a = w + 12. Given that c = 19, find the 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 e = n + 2 to x, which gives x = n + 21.\n2. Substitute n = a + 3 to x, which gives x = a + 24.\n3. Substitute a = w + 12 to x, which gives x = w + 36.\n4. Substitute w = f + 6 to x, which gives x = f + 42.\n5. Substitute f = c + 13 to x, which gives x = c + 55.\n6. Substitute c = 19 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 517,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 6; f = c + 13; p = q + 18; i = o + 18; c = 19; k = d + 20; o = c + 18; x = e + 19; q = k + 5; w = f + 6; e = n + 2; n = a + 3; a = w + 12. Given that c = 19, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 8", "t": "b + 14", "v": "t + 5", "c": "v + 6", "l": "c + 11", "z": "l + 17", "i": "n + 5", "e": "i + 12", "y": "e + 14", "p": "y + 5", "j": "p + 20", "d": "j + 1", "n": 7}, "premises": {"n": 7}, "target": "z"}, "answer": {"steps": [["l", "c + 11", "c + 28"], ["c", "v + 6", "v + 34"], ["v", "t + 5", "t + 39"], ["t", "b + 14", "b + 53"], ["b", "n + 8", "n + 61"], ["n", 7, "68"]], "target_var_name": "z", "target_value": 68, "value_dict": {"n": 7}, "is_reverse": true}} | 518 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 20; v = t + 5; e = i + 12; y = e + 14; i = n + 5; c = v + 6; n = 7; p = y + 5; t = b + 14; l = c + 11; d = j + 1; b = n + 8; z = l + 17. Given that n = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 11 to z, which gives z = c + 28.\n2. Substitute c = v + 6 to z, which gives z = v + 34.\n3. Substitute v = t + 5 to z, which gives z = t + 39.\n4. Substitute t = b + 14 to z, which gives z = b + 53.\n5. Substitute b = n + 8 to z, which gives z = n + 61.\n6. Substitute n = 7 to z, which gives z = 68.\n\nThus, the final answer is z = \\boxed{68}.",
"index": 518,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 20; v = t + 5; e = i + 12; y = e + 14; i = n + 5; c = v + 6; n = 7; p = y + 5; t = b + 14; l = c + 11; d = j + 1; b = n + 8; z = l + 17. Given that n = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 15", "z": "u + 20", "s": "z + 15", "e": "s + 9", "a": "e + 18", "r": "a + 11", "o": "p + 18", "v": "o + 5", "y": "v + 15", "w": "y + 3", "g": "w + 12", "q": "g + 3", "p": 4}, "premises": {"p": 4}, "target": "r"}, "answer": {"steps": [["u", "p + 15", 19], ["z", "u + 20", 39], ["s", "z + 15", 54], ["e", "s + 9", 63], ["a", "e + 18", 81], ["r", "a + 11", 92]], "target_var_name": "r", "target_value": 92, "value_dict": {"p": 4, "u": 19, "z": 39, "s": 54, "e": 63, "a": 81, "r": 92}, "is_reverse": false}} | 519 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 15; u = p + 15; r = a + 11; s = z + 15; e = s + 9; p = 4; v = o + 5; g = w + 12; o = p + 18; w = y + 3; a = e + 18; q = g + 3; z = u + 20. If p = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = p + 15, which gives u = 19.\n2. Compute z using z = u + 20, which gives z = 39.\n3. Compute s using s = z + 15, which gives s = 54.\n4. Compute e using e = s + 9, which gives e = 63.\n5. Compute a using a = e + 18, which gives a = 81.\n6. Compute r using r = a + 11, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 519,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 15; u = p + 15; r = a + 11; s = z + 15; e = s + 9; p = 4; v = o + 5; g = w + 12; o = p + 18; w = y + 3; a = e + 18; q = g + 3; z = u + 20. If p = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 15", "j": "y + 1", "r": "j + 12", "d": "r + 8", "q": "d + 11", "e": "q + 8", "h": "i + 14", "x": "h + 16", "z": "x + 14", "v": "z + 1", "n": "v + 10", "s": "n + 4", "i": 12}, "premises": {"i": 12}, "target": "e"}, "answer": {"steps": [["q", "d + 11", "d + 19"], ["d", "r + 8", "r + 27"], ["r", "j + 12", "j + 39"], ["j", "y + 1", "y + 40"], ["y", "i + 15", "i + 55"], ["i", 12, "67"]], "target_var_name": "e", "target_value": 67, "value_dict": {"i": 12}, "is_reverse": true}} | 520 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 11; e = q + 8; n = v + 10; y = i + 15; s = n + 4; j = y + 1; v = z + 1; d = r + 8; x = h + 16; i = 12; z = x + 14; h = i + 14; r = j + 12. Given that i = 12, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 11 to e, which gives e = d + 19.\n2. Substitute d = r + 8 to e, which gives e = r + 27.\n3. Substitute r = j + 12 to e, which gives e = j + 39.\n4. Substitute j = y + 1 to e, which gives e = y + 40.\n5. Substitute y = i + 15 to e, which gives e = i + 55.\n6. Substitute i = 12 to e, which gives e = 67.\n\nThus, the final answer is e = \\boxed{67}.",
"index": 520,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 11; e = q + 8; n = v + 10; y = i + 15; s = n + 4; j = y + 1; v = z + 1; d = r + 8; x = h + 16; i = 12; z = x + 14; h = i + 14; r = j + 12. Given that i = 12, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 16", "o": "n + 2", "v": "o + 6", "k": "v + 18", "z": "k + 20", "l": "z + 7", "t": "p + 3", "m": "t + 8", "d": "m + 19", "b": "d + 7", "e": "b + 11", "c": "e + 7", "p": 14}, "premises": {"p": 14}, "target": "l"}, "answer": {"steps": [["n", "p + 16", 30], ["o", "n + 2", 32], ["v", "o + 6", 38], ["k", "v + 18", 56], ["z", "k + 20", 76], ["l", "z + 7", 83]], "target_var_name": "l", "target_value": 83, "value_dict": {"p": 14, "n": 30, "o": 32, "v": 38, "k": 56, "z": 76, "l": 83}, "is_reverse": false}} | 521 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 6; n = p + 16; e = b + 11; t = p + 3; b = d + 7; o = n + 2; c = e + 7; p = 14; k = v + 18; z = k + 20; d = m + 19; l = z + 7; m = t + 8. Given that p = 14, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = p + 16, which gives n = 30.\n2. Compute o using o = n + 2, which gives o = 32.\n3. Compute v using v = o + 6, which gives v = 38.\n4. Compute k using k = v + 18, which gives k = 56.\n5. Compute z using z = k + 20, which gives z = 76.\n6. Compute l using l = z + 7, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 521,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 6; n = p + 16; e = b + 11; t = p + 3; b = d + 7; o = n + 2; c = e + 7; p = 14; k = v + 18; z = k + 20; d = m + 19; l = z + 7; m = t + 8. Given that p = 14, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 13", "g": "n + 5", "x": "g + 10", "q": "x + 4", "y": "q + 1", "z": "y + 11", "i": "a + 9", "w": "i + 6", "f": "w + 10", "t": "f + 12", "h": "t + 12", "l": "h + 15", "a": 13}, "premises": {"a": 13}, "target": "z"}, "answer": {"steps": [["y", "q + 1", "q + 12"], ["q", "x + 4", "x + 16"], ["x", "g + 10", "g + 26"], ["g", "n + 5", "n + 31"], ["n", "a + 13", "a + 44"], ["a", 13, "57"]], "target_var_name": "z", "target_value": 57, "value_dict": {"a": 13}, "is_reverse": true}} | 522 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 6; a = 13; g = n + 5; l = h + 15; h = t + 12; i = a + 9; x = g + 10; z = y + 11; n = a + 13; y = q + 1; t = f + 12; f = w + 10; q = x + 4. If a = 13, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = q + 1 to z, which gives z = q + 12.\n2. Substitute q = x + 4 to z, which gives z = x + 16.\n3. Substitute x = g + 10 to z, which gives z = g + 26.\n4. Substitute g = n + 5 to z, which gives z = n + 31.\n5. Substitute n = a + 13 to z, which gives z = a + 44.\n6. Substitute a = 13 to z, which gives z = 57.\n\nThus, the final answer is z = \\boxed{57}.",
"index": 522,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 6; a = 13; g = n + 5; l = h + 15; h = t + 12; i = a + 9; x = g + 10; z = y + 11; n = a + 13; y = q + 1; t = f + 12; f = w + 10; q = x + 4. If a = 13, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "d + 14", "c": "u + 17", "a": "c + 18", "b": "a + 19", "e": "b + 5", "i": "e + 8", "o": "d + 14", "q": "o + 3", "t": "q + 9", "p": "t + 15", "y": "p + 14", "x": "y + 15", "d": 7}, "premises": {"d": 7}, "target": "i"}, "answer": {"steps": [["e", "b + 5", "b + 13"], ["b", "a + 19", "a + 32"], ["a", "c + 18", "c + 50"], ["c", "u + 17", "u + 67"], ["u", "d + 14", "d + 81"], ["d", 7, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"d": 7}, "is_reverse": true}} | 523 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = b + 5; q = o + 3; d = 7; u = d + 14; t = q + 9; a = c + 18; i = e + 8; o = d + 14; x = y + 15; b = a + 19; p = t + 15; y = p + 14; c = u + 17. Given that d = 7, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 5 to i, which gives i = b + 13.\n2. Substitute b = a + 19 to i, which gives i = a + 32.\n3. Substitute a = c + 18 to i, which gives i = c + 50.\n4. Substitute c = u + 17 to i, which gives i = u + 67.\n5. Substitute u = d + 14 to i, which gives i = d + 81.\n6. Substitute d = 7 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 523,
"question": "Suppose a collection of variables is related by the following definitions: e = b + 5; q = o + 3; d = 7; u = d + 14; t = q + 9; a = c + 18; i = e + 8; o = d + 14; x = y + 15; b = a + 19; p = t + 15; y = p + 14; c = u + 17. Given that d = 7, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "k + 3", "x": "w + 10", "m": "x + 19", "b": "m + 5", "n": "b + 7", "s": "n + 16", "u": "k + 9", "a": "u + 7", "o": "a + 18", "l": "o + 7", "v": "l + 5", "j": "v + 1", "k": 4}, "premises": {"k": 4}, "target": "s"}, "answer": {"steps": [["n", "b + 7", "b + 23"], ["b", "m + 5", "m + 28"], ["m", "x + 19", "x + 47"], ["x", "w + 10", "w + 57"], ["w", "k + 3", "k + 60"], ["k", 4, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"k": 4}, "is_reverse": true}} | 524 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 7; w = k + 3; m = x + 19; j = v + 1; s = n + 16; v = l + 5; k = 4; a = u + 7; x = w + 10; l = o + 7; b = m + 5; o = a + 18; u = k + 9. Given that k = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 7 to s, which gives s = b + 23.\n2. Substitute b = m + 5 to s, which gives s = m + 28.\n3. Substitute m = x + 19 to s, which gives s = x + 47.\n4. Substitute x = w + 10 to s, which gives s = w + 57.\n5. Substitute w = k + 3 to s, which gives s = k + 60.\n6. Substitute k = 4 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 524,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 7; w = k + 3; m = x + 19; j = v + 1; s = n + 16; v = l + 5; k = 4; a = u + 7; x = w + 10; l = o + 7; b = m + 5; o = a + 18; u = k + 9. Given that k = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 19", "z": "j + 16", "w": "z + 9", "x": "w + 7", "p": "x + 20", "e": "p + 8", "o": "b + 19", "s": "o + 4", "k": "s + 8", "f": "k + 5", "n": "f + 5", "i": "n + 2", "b": 19}, "premises": {"b": 19}, "target": "e"}, "answer": {"steps": [["p", "x + 20", "x + 28"], ["x", "w + 7", "w + 35"], ["w", "z + 9", "z + 44"], ["z", "j + 16", "j + 60"], ["j", "b + 19", "b + 79"], ["b", 19, "98"]], "target_var_name": "e", "target_value": 98, "value_dict": {"b": 19}, "is_reverse": true}} | 525 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 4; e = p + 8; w = z + 9; p = x + 20; f = k + 5; b = 19; x = w + 7; z = j + 16; o = b + 19; k = s + 8; i = n + 2; n = f + 5; j = b + 19. Given that b = 19, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 20 to e, which gives e = x + 28.\n2. Substitute x = w + 7 to e, which gives e = w + 35.\n3. Substitute w = z + 9 to e, which gives e = z + 44.\n4. Substitute z = j + 16 to e, which gives e = j + 60.\n5. Substitute j = b + 19 to e, which gives e = b + 79.\n6. Substitute b = 19 to e, which gives e = 98.\n\nThus, the final answer is e = \\boxed{98}.",
"index": 525,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 4; e = p + 8; w = z + 9; p = x + 20; f = k + 5; b = 19; x = w + 7; z = j + 16; o = b + 19; k = s + 8; i = n + 2; n = f + 5; j = b + 19. Given that b = 19, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 12", "o": "h + 15", "q": "o + 19", "y": "q + 6", "z": "y + 2", "c": "z + 16", "x": "s + 16", "g": "x + 10", "t": "g + 15", "b": "t + 19", "e": "b + 11", "u": "e + 12", "s": 1}, "premises": {"s": 1}, "target": "c"}, "answer": {"steps": [["h", "s + 12", 13], ["o", "h + 15", 28], ["q", "o + 19", 47], ["y", "q + 6", 53], ["z", "y + 2", 55], ["c", "z + 16", 71]], "target_var_name": "c", "target_value": 71, "value_dict": {"s": 1, "h": 13, "o": 28, "q": 47, "y": 53, "z": 55, "c": 71}, "is_reverse": false}} | 526 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = 1; o = h + 15; c = z + 16; x = s + 16; b = t + 19; t = g + 15; g = x + 10; y = q + 6; e = b + 11; u = e + 12; h = s + 12; z = y + 2; q = o + 19. Given that s = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = s + 12, which gives h = 13.\n2. Compute o using o = h + 15, which gives o = 28.\n3. Compute q using q = o + 19, which gives q = 47.\n4. Compute y using y = q + 6, which gives y = 53.\n5. Compute z using z = y + 2, which gives z = 55.\n6. Compute c using c = z + 16, which gives c = 71.\n\nThus, the final answer is c = \\boxed{71}.",
"index": 526,
"question": "Suppose a collection of variables is related by the following definitions: s = 1; o = h + 15; c = z + 16; x = s + 16; b = t + 19; t = g + 15; g = x + 10; y = q + 6; e = b + 11; u = e + 12; h = s + 12; z = y + 2; q = o + 19. Given that s = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "k + 3", "d": "l + 2", "j": "d + 4", "v": "j + 1", "b": "v + 4", "t": "b + 20", "g": "k + 18", "i": "g + 4", "f": "i + 7", "u": "f + 1", "x": "u + 19", "z": "x + 12", "k": 16}, "premises": {"k": 16}, "target": "t"}, "answer": {"steps": [["b", "v + 4", "v + 24"], ["v", "j + 1", "j + 25"], ["j", "d + 4", "d + 29"], ["d", "l + 2", "l + 31"], ["l", "k + 3", "k + 34"], ["k", 16, "50"]], "target_var_name": "t", "target_value": 50, "value_dict": {"k": 16}, "is_reverse": true}} | 527 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 4; x = u + 19; d = l + 2; l = k + 3; t = b + 20; f = i + 7; z = x + 12; b = v + 4; g = k + 18; v = j + 1; k = 16; u = f + 1; j = d + 4. If k = 16, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 4 to t, which gives t = v + 24.\n2. Substitute v = j + 1 to t, which gives t = j + 25.\n3. Substitute j = d + 4 to t, which gives t = d + 29.\n4. Substitute d = l + 2 to t, which gives t = l + 31.\n5. Substitute l = k + 3 to t, which gives t = k + 34.\n6. Substitute k = 16 to t, which gives t = 50.\n\nThus, the final answer is t = \\boxed{50}.",
"index": 527,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 4; x = u + 19; d = l + 2; l = k + 3; t = b + 20; f = i + 7; z = x + 12; b = v + 4; g = k + 18; v = j + 1; k = 16; u = f + 1; j = d + 4. If k = 16, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 3", "h": "x + 8", "m": "h + 16", "w": "m + 6", "j": "w + 20", "b": "j + 6", "u": "c + 12", "t": "u + 12", "s": "t + 15", "r": "s + 3", "n": "r + 13", "z": "n + 13", "c": 7}, "premises": {"c": 7}, "target": "b"}, "answer": {"steps": [["j", "w + 20", "w + 26"], ["w", "m + 6", "m + 32"], ["m", "h + 16", "h + 48"], ["h", "x + 8", "x + 56"], ["x", "c + 3", "c + 59"], ["c", 7, "66"]], "target_var_name": "b", "target_value": 66, "value_dict": {"c": 7}, "is_reverse": true}} | 528 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 6; c = 7; j = w + 20; m = h + 16; h = x + 8; w = m + 6; x = c + 3; z = n + 13; n = r + 13; s = t + 15; u = c + 12; t = u + 12; r = s + 3. If c = 7, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 20 to b, which gives b = w + 26.\n2. Substitute w = m + 6 to b, which gives b = m + 32.\n3. Substitute m = h + 16 to b, which gives b = h + 48.\n4. Substitute h = x + 8 to b, which gives b = x + 56.\n5. Substitute x = c + 3 to b, which gives b = c + 59.\n6. Substitute c = 7 to b, which gives b = 66.\n\nThus, the final answer is b = \\boxed{66}.",
"index": 528,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 6; c = 7; j = w + 20; m = h + 16; h = x + 8; w = m + 6; x = c + 3; z = n + 13; n = r + 13; s = t + 15; u = c + 12; t = u + 12; r = s + 3. If c = 7, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 14", "h": "i + 1", "e": "h + 14", "p": "e + 18", "o": "p + 19", "a": "o + 20", "g": "s + 1", "z": "g + 17", "t": "z + 13", "r": "t + 5", "x": "r + 20", "j": "x + 1", "s": 6}, "premises": {"s": 6}, "target": "a"}, "answer": {"steps": [["i", "s + 14", 20], ["h", "i + 1", 21], ["e", "h + 14", 35], ["p", "e + 18", 53], ["o", "p + 19", 72], ["a", "o + 20", 92]], "target_var_name": "a", "target_value": 92, "value_dict": {"s": 6, "i": 20, "h": 21, "e": 35, "p": 53, "o": 72, "a": 92}, "is_reverse": false}} | 529 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 1; r = t + 5; o = p + 19; t = z + 13; z = g + 17; e = h + 14; s = 6; x = r + 20; a = o + 20; p = e + 18; j = x + 1; g = s + 1; i = s + 14. If s = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = s + 14, which gives i = 20.\n2. Compute h using h = i + 1, which gives h = 21.\n3. Compute e using e = h + 14, which gives e = 35.\n4. Compute p using p = e + 18, which gives p = 53.\n5. Compute o using o = p + 19, which gives o = 72.\n6. Compute a using a = o + 20, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 529,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 1; r = t + 5; o = p + 19; t = z + 13; z = g + 17; e = h + 14; s = 6; x = r + 20; a = o + 20; p = e + 18; j = x + 1; g = s + 1; i = s + 14. If s = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 5", "b": "s + 2", "x": "b + 4", "c": "x + 8", "g": "c + 19", "t": "g + 2", "j": "w + 10", "m": "j + 15", "y": "m + 17", "u": "y + 10", "h": "u + 16", "l": "h + 10", "w": 12}, "premises": {"w": 12}, "target": "t"}, "answer": {"steps": [["g", "c + 19", "c + 21"], ["c", "x + 8", "x + 29"], ["x", "b + 4", "b + 33"], ["b", "s + 2", "s + 35"], ["s", "w + 5", "w + 40"], ["w", 12, "52"]], "target_var_name": "t", "target_value": 52, "value_dict": {"w": 12}, "is_reverse": true}} | 530 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 10; u = y + 10; s = w + 5; m = j + 15; w = 12; j = w + 10; x = b + 4; b = s + 2; c = x + 8; h = u + 16; g = c + 19; t = g + 2; y = m + 17. If w = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = c + 19 to t, which gives t = c + 21.\n2. Substitute c = x + 8 to t, which gives t = x + 29.\n3. Substitute x = b + 4 to t, which gives t = b + 33.\n4. Substitute b = s + 2 to t, which gives t = s + 35.\n5. Substitute s = w + 5 to t, which gives t = w + 40.\n6. Substitute w = 12 to t, which gives t = 52.\n\nThus, the final answer is t = \\boxed{52}.",
"index": 530,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 10; u = y + 10; s = w + 5; m = j + 15; w = 12; j = w + 10; x = b + 4; b = s + 2; c = x + 8; h = u + 16; g = c + 19; t = g + 2; y = m + 17. If w = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 12", "l": "f + 2", "d": "l + 5", "i": "d + 20", "v": "i + 11", "c": "v + 16", "x": "q + 7", "t": "x + 1", "w": "t + 19", "a": "w + 17", "r": "a + 14", "n": "r + 18", "q": 3}, "premises": {"q": 3}, "target": "c"}, "answer": {"steps": [["v", "i + 11", "i + 27"], ["i", "d + 20", "d + 47"], ["d", "l + 5", "l + 52"], ["l", "f + 2", "f + 54"], ["f", "q + 12", "q + 66"], ["q", 3, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"q": 3}, "is_reverse": true}} | 531 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = w + 17; d = l + 5; c = v + 16; v = i + 11; w = t + 19; r = a + 14; t = x + 1; n = r + 18; x = q + 7; i = d + 20; f = q + 12; q = 3; l = f + 2. Given that q = 3, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 11 to c, which gives c = i + 27.\n2. Substitute i = d + 20 to c, which gives c = d + 47.\n3. Substitute d = l + 5 to c, which gives c = l + 52.\n4. Substitute l = f + 2 to c, which gives c = f + 54.\n5. Substitute f = q + 12 to c, which gives c = q + 66.\n6. Substitute q = 3 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 531,
"question": "Suppose a collection of variables is related by the following definitions: a = w + 17; d = l + 5; c = v + 16; v = i + 11; w = t + 19; r = a + 14; t = x + 1; n = r + 18; x = q + 7; i = d + 20; f = q + 12; q = 3; l = f + 2. Given that q = 3, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 20", "j": "e + 15", "d": "j + 14", "p": "d + 8", "z": "p + 2", "o": "z + 6", "n": "i + 4", "q": "n + 19", "v": "q + 20", "t": "v + 5", "r": "t + 3", "f": "r + 15", "i": 2}, "premises": {"i": 2}, "target": "o"}, "answer": {"steps": [["z", "p + 2", "p + 8"], ["p", "d + 8", "d + 16"], ["d", "j + 14", "j + 30"], ["j", "e + 15", "e + 45"], ["e", "i + 20", "i + 65"], ["i", 2, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"i": 2}, "is_reverse": true}} | 532 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 2; j = e + 15; t = v + 5; f = r + 15; e = i + 20; z = p + 2; q = n + 19; p = d + 8; r = t + 3; o = z + 6; n = i + 4; v = q + 20; d = j + 14. If i = 2, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 2 to o, which gives o = p + 8.\n2. Substitute p = d + 8 to o, which gives o = d + 16.\n3. Substitute d = j + 14 to o, which gives o = j + 30.\n4. Substitute j = e + 15 to o, which gives o = e + 45.\n5. Substitute e = i + 20 to o, which gives o = i + 65.\n6. Substitute i = 2 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 532,
"question": "Consider a system of variables where each variable is defined as follows: i = 2; j = e + 15; t = v + 5; f = r + 15; e = i + 20; z = p + 2; q = n + 19; p = d + 8; r = t + 3; o = z + 6; n = i + 4; v = q + 20; d = j + 14. If i = 2, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 6", "b": "d + 9", "h": "b + 15", "e": "h + 2", "p": "e + 13", "w": "p + 20", "r": "f + 9", "z": "r + 3", "x": "z + 15", "s": "x + 2", "n": "s + 7", "q": "n + 7", "f": 9}, "premises": {"f": 9}, "target": "w"}, "answer": {"steps": [["d", "f + 6", 15], ["b", "d + 9", 24], ["h", "b + 15", 39], ["e", "h + 2", 41], ["p", "e + 13", 54], ["w", "p + 20", 74]], "target_var_name": "w", "target_value": 74, "value_dict": {"f": 9, "d": 15, "b": 24, "h": 39, "e": 41, "p": 54, "w": 74}, "is_reverse": false}} | 533 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 7; s = x + 2; e = h + 2; x = z + 15; f = 9; d = f + 6; w = p + 20; z = r + 3; h = b + 15; q = n + 7; b = d + 9; r = f + 9; p = e + 13. If f = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = f + 6, which gives d = 15.\n2. Compute b using b = d + 9, which gives b = 24.\n3. Compute h using h = b + 15, which gives h = 39.\n4. Compute e using e = h + 2, which gives e = 41.\n5. Compute p using p = e + 13, which gives p = 54.\n6. Compute w using w = p + 20, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 533,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = s + 7; s = x + 2; e = h + 2; x = z + 15; f = 9; d = f + 6; w = p + 20; z = r + 3; h = b + 15; q = n + 7; b = d + 9; r = f + 9; p = e + 13. If f = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 18", "g": "v + 7", "t": "g + 12", "p": "t + 12", "o": "p + 16", "l": "o + 11", "y": "m + 15", "n": "y + 1", "h": "n + 7", "b": "h + 12", "s": "b + 20", "a": "s + 2", "m": 20}, "premises": {"m": 20}, "target": "l"}, "answer": {"steps": [["o", "p + 16", "p + 27"], ["p", "t + 12", "t + 39"], ["t", "g + 12", "g + 51"], ["g", "v + 7", "v + 58"], ["v", "m + 18", "m + 76"], ["m", 20, "96"]], "target_var_name": "l", "target_value": 96, "value_dict": {"m": 20}, "is_reverse": true}} | 534 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 18; m = 20; a = s + 2; y = m + 15; l = o + 11; p = t + 12; s = b + 20; o = p + 16; h = n + 7; g = v + 7; n = y + 1; t = g + 12; b = h + 12. Given that m = 20, find 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 o = p + 16 to l, which gives l = p + 27.\n2. Substitute p = t + 12 to l, which gives l = t + 39.\n3. Substitute t = g + 12 to l, which gives l = g + 51.\n4. Substitute g = v + 7 to l, which gives l = v + 58.\n5. Substitute v = m + 18 to l, which gives l = m + 76.\n6. Substitute m = 20 to l, which gives l = 96.\n\nThus, the final answer is l = \\boxed{96}.",
"index": 534,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 18; m = 20; a = s + 2; y = m + 15; l = o + 11; p = t + 12; s = b + 20; o = p + 16; h = n + 7; g = v + 7; n = y + 1; t = g + 12; b = h + 12. Given that m = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 14", "x": "n + 10", "o": "x + 16", "s": "o + 1", "t": "s + 4", "d": "t + 14", "p": "l + 13", "c": "p + 8", "m": "c + 3", "j": "m + 16", "q": "j + 16", "r": "q + 5", "l": 17}, "premises": {"l": 17}, "target": "d"}, "answer": {"steps": [["t", "s + 4", "s + 18"], ["s", "o + 1", "o + 19"], ["o", "x + 16", "x + 35"], ["x", "n + 10", "n + 45"], ["n", "l + 14", "l + 59"], ["l", 17, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"l": 17}, "is_reverse": true}} | 535 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 16; l = 17; s = o + 1; p = l + 13; m = c + 3; c = p + 8; n = l + 14; d = t + 14; t = s + 4; x = n + 10; r = q + 5; o = x + 16; q = j + 16. If l = 17, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 4 to d, which gives d = s + 18.\n2. Substitute s = o + 1 to d, which gives d = o + 19.\n3. Substitute o = x + 16 to d, which gives d = x + 35.\n4. Substitute x = n + 10 to d, which gives d = n + 45.\n5. Substitute n = l + 14 to d, which gives d = l + 59.\n6. Substitute l = 17 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 16; l = 17; s = o + 1; p = l + 13; m = c + 3; c = p + 8; n = l + 14; d = t + 14; t = s + 4; x = n + 10; r = q + 5; o = x + 16; q = j + 16. If l = 17, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 4", "c": "v + 10", "z": "c + 16", "p": "z + 16", "l": "p + 15", "o": "l + 18", "g": "n + 17", "t": "g + 8", "r": "t + 4", "j": "r + 2", "q": "j + 14", "y": "q + 17", "n": 10}, "premises": {"n": 10}, "target": "o"}, "answer": {"steps": [["v", "n + 4", 14], ["c", "v + 10", 24], ["z", "c + 16", 40], ["p", "z + 16", 56], ["l", "p + 15", 71], ["o", "l + 18", 89]], "target_var_name": "o", "target_value": 89, "value_dict": {"n": 10, "v": 14, "c": 24, "z": 40, "p": 56, "l": 71, "o": 89}, "is_reverse": false}} | 536 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 17; n = 10; c = v + 10; r = t + 4; z = c + 16; y = q + 17; o = l + 18; t = g + 8; p = z + 16; j = r + 2; q = j + 14; l = p + 15; v = n + 4. If n = 10, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = n + 4, which gives v = 14.\n2. Compute c using c = v + 10, which gives c = 24.\n3. Compute z using z = c + 16, which gives z = 40.\n4. Compute p using p = z + 16, which gives p = 56.\n5. Compute l using l = p + 15, which gives l = 71.\n6. Compute o using o = l + 18, which gives o = 89.\n\nThus, the final answer is o = \\boxed{89}.",
"index": 536,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = n + 17; n = 10; c = v + 10; r = t + 4; z = c + 16; y = q + 17; o = l + 18; t = g + 8; p = z + 16; j = r + 2; q = j + 14; l = p + 15; v = n + 4. If n = 10, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 13", "z": "n + 19", "h": "z + 2", "y": "h + 5", "s": "y + 18", "q": "s + 12", "v": "j + 17", "m": "v + 6", "x": "m + 10", "l": "x + 11", "k": "l + 16", "w": "k + 7", "j": 5}, "premises": {"j": 5}, "target": "q"}, "answer": {"steps": [["s", "y + 18", "y + 30"], ["y", "h + 5", "h + 35"], ["h", "z + 2", "z + 37"], ["z", "n + 19", "n + 56"], ["n", "j + 13", "j + 69"], ["j", 5, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"j": 5}, "is_reverse": true}} | 537 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 12; x = m + 10; j = 5; s = y + 18; w = k + 7; n = j + 13; y = h + 5; h = z + 2; m = v + 6; l = x + 11; v = j + 17; z = n + 19; k = l + 16. If j = 5, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 18 to q, which gives q = y + 30.\n2. Substitute y = h + 5 to q, which gives q = h + 35.\n3. Substitute h = z + 2 to q, which gives q = z + 37.\n4. Substitute z = n + 19 to q, which gives q = n + 56.\n5. Substitute n = j + 13 to q, which gives q = j + 69.\n6. Substitute j = 5 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 537,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 12; x = m + 10; j = 5; s = y + 18; w = k + 7; n = j + 13; y = h + 5; h = z + 2; m = v + 6; l = x + 11; v = j + 17; z = n + 19; k = l + 16. If j = 5, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 3", "z": "j + 16", "u": "z + 19", "c": "u + 6", "k": "c + 12", "x": "k + 15", "i": "q + 18", "f": "i + 1", "v": "f + 15", "l": "v + 10", "p": "l + 4", "n": "p + 2", "q": 7}, "premises": {"q": 7}, "target": "x"}, "answer": {"steps": [["j", "q + 3", 10], ["z", "j + 16", 26], ["u", "z + 19", 45], ["c", "u + 6", 51], ["k", "c + 12", 63], ["x", "k + 15", 78]], "target_var_name": "x", "target_value": 78, "value_dict": {"q": 7, "j": 10, "z": 26, "u": 45, "c": 51, "k": 63, "x": 78}, "is_reverse": false}} | 538 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 4; z = j + 16; c = u + 6; i = q + 18; l = v + 10; v = f + 15; j = q + 3; u = z + 19; x = k + 15; f = i + 1; q = 7; n = p + 2; k = c + 12. If q = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = q + 3, which gives j = 10.\n2. Compute z using z = j + 16, which gives z = 26.\n3. Compute u using u = z + 19, which gives u = 45.\n4. Compute c using c = u + 6, which gives c = 51.\n5. Compute k using k = c + 12, which gives k = 63.\n6. Compute x using x = k + 15, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 538,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 4; z = j + 16; c = u + 6; i = q + 18; l = v + 10; v = f + 15; j = q + 3; u = z + 19; x = k + 15; f = i + 1; q = 7; n = p + 2; k = c + 12. If q = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 16", "h": "j + 1", "l": "h + 15", "y": "l + 3", "w": "y + 16", "d": "w + 1", "v": "q + 16", "r": "v + 16", "c": "r + 3", "f": "c + 1", "z": "f + 4", "s": "z + 16", "q": 19}, "premises": {"q": 19}, "target": "d"}, "answer": {"steps": [["w", "y + 16", "y + 17"], ["y", "l + 3", "l + 20"], ["l", "h + 15", "h + 35"], ["h", "j + 1", "j + 36"], ["j", "q + 16", "q + 52"], ["q", 19, "71"]], "target_var_name": "d", "target_value": 71, "value_dict": {"q": 19}, "is_reverse": true}} | 539 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 1; w = y + 16; f = c + 1; c = r + 3; s = z + 16; q = 19; z = f + 4; v = q + 16; j = q + 16; l = h + 15; r = v + 16; d = w + 1; y = l + 3. If q = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = y + 16 to d, which gives d = y + 17.\n2. Substitute y = l + 3 to d, which gives d = l + 20.\n3. Substitute l = h + 15 to d, which gives d = h + 35.\n4. Substitute h = j + 1 to d, which gives d = j + 36.\n5. Substitute j = q + 16 to d, which gives d = q + 52.\n6. Substitute q = 19 to d, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 539,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 1; w = y + 16; f = c + 1; c = r + 3; s = z + 16; q = 19; z = f + 4; v = q + 16; j = q + 16; l = h + 15; r = v + 16; d = w + 1; y = l + 3. If q = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 12", "a": "o + 14", "j": "a + 15", "s": "j + 11", "d": "s + 4", "l": "d + 9", "f": "m + 11", "x": "f + 9", "y": "x + 13", "g": "y + 17", "n": "g + 11", "p": "n + 9", "m": 15}, "premises": {"m": 15}, "target": "l"}, "answer": {"steps": [["o", "m + 12", 27], ["a", "o + 14", 41], ["j", "a + 15", 56], ["s", "j + 11", 67], ["d", "s + 4", 71], ["l", "d + 9", 80]], "target_var_name": "l", "target_value": 80, "value_dict": {"m": 15, "o": 27, "a": 41, "j": 56, "s": 67, "d": 71, "l": 80}, "is_reverse": false}} | 540 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 15; d = s + 4; m = 15; g = y + 17; o = m + 12; s = j + 11; f = m + 11; y = x + 13; p = n + 9; l = d + 9; a = o + 14; n = g + 11; x = f + 9. If m = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = m + 12, which gives o = 27.\n2. Compute a using a = o + 14, which gives a = 41.\n3. Compute j using j = a + 15, which gives j = 56.\n4. Compute s using s = j + 11, which gives s = 67.\n5. Compute d using d = s + 4, which gives d = 71.\n6. Compute l using l = d + 9, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 15; d = s + 4; m = 15; g = y + 17; o = m + 12; s = j + 11; f = m + 11; y = x + 13; p = n + 9; l = d + 9; a = o + 14; n = g + 11; x = f + 9. If m = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"k": "r + 17", "c": "k + 15", "f": "c + 18", "a": "f + 19", "w": "a + 11", "p": "w + 2", "t": "r + 14", "b": "t + 10", "m": "b + 10", "u": "m + 11", "i": "u + 15", "o": "i + 11", "r": 2}, "premises": {"r": 2}, "target": "p"}, "answer": {"steps": [["w", "a + 11", "a + 13"], ["a", "f + 19", "f + 32"], ["f", "c + 18", "c + 50"], ["c", "k + 15", "k + 65"], ["k", "r + 17", "r + 82"], ["r", 2, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"r": 2}, "is_reverse": true}} | 541 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 14; u = m + 11; p = w + 2; r = 2; w = a + 11; i = u + 15; a = f + 19; c = k + 15; b = t + 10; k = r + 17; o = i + 11; f = c + 18; m = b + 10. If r = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 11 to p, which gives p = a + 13.\n2. Substitute a = f + 19 to p, which gives p = f + 32.\n3. Substitute f = c + 18 to p, which gives p = c + 50.\n4. Substitute c = k + 15 to p, which gives p = k + 65.\n5. Substitute k = r + 17 to p, which gives p = r + 82.\n6. Substitute r = 2 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 541,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 14; u = m + 11; p = w + 2; r = 2; w = a + 11; i = u + 15; a = f + 19; c = k + 15; b = t + 10; k = r + 17; o = i + 11; f = c + 18; m = b + 10. If r = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 1", "j": "s + 11", "k": "j + 13", "r": "k + 10", "e": "r + 7", "q": "e + 16", "i": "w + 3", "v": "i + 20", "u": "v + 1", "a": "u + 14", "o": "a + 18", "t": "o + 10", "w": 5}, "premises": {"w": 5}, "target": "q"}, "answer": {"steps": [["s", "w + 1", 6], ["j", "s + 11", 17], ["k", "j + 13", 30], ["r", "k + 10", 40], ["e", "r + 7", 47], ["q", "e + 16", 63]], "target_var_name": "q", "target_value": 63, "value_dict": {"w": 5, "s": 6, "j": 17, "k": 30, "r": 40, "e": 47, "q": 63}, "is_reverse": false}} | 542 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = w + 1; v = i + 20; a = u + 14; u = v + 1; q = e + 16; k = j + 13; o = a + 18; r = k + 10; w = 5; t = o + 10; e = r + 7; i = w + 3; j = s + 11. If w = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = w + 1, which gives s = 6.\n2. Compute j using j = s + 11, which gives j = 17.\n3. Compute k using k = j + 13, which gives k = 30.\n4. Compute r using r = k + 10, which gives r = 40.\n5. Compute e using e = r + 7, which gives e = 47.\n6. Compute q using q = e + 16, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 542,
"question": "Consider a system of variables where each variable is defined as follows: s = w + 1; v = i + 20; a = u + 14; u = v + 1; q = e + 16; k = j + 13; o = a + 18; r = k + 10; w = 5; t = o + 10; e = r + 7; i = w + 3; j = s + 11. If w = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "y + 4", "h": "b + 14", "k": "h + 15", "t": "k + 10", "d": "t + 12", "e": "d + 5", "j": "y + 17", "v": "j + 13", "f": "v + 15", "n": "f + 7", "a": "n + 10", "r": "a + 2", "y": 16}, "premises": {"y": 16}, "target": "e"}, "answer": {"steps": [["b", "y + 4", 20], ["h", "b + 14", 34], ["k", "h + 15", 49], ["t", "k + 10", 59], ["d", "t + 12", 71], ["e", "d + 5", 76]], "target_var_name": "e", "target_value": 76, "value_dict": {"y": 16, "b": 20, "h": 34, "k": 49, "t": 59, "d": 71, "e": 76}, "is_reverse": false}} | 543 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = d + 5; a = n + 10; v = j + 13; n = f + 7; t = k + 10; k = h + 15; b = y + 4; d = t + 12; h = b + 14; j = y + 17; y = 16; f = v + 15; r = a + 2. Given that y = 16, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = y + 4, which gives b = 20.\n2. Compute h using h = b + 14, which gives h = 34.\n3. Compute k using k = h + 15, which gives k = 49.\n4. Compute t using t = k + 10, which gives t = 59.\n5. Compute d using d = t + 12, which gives d = 71.\n6. Compute e using e = d + 5, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 543,
"question": "Suppose a collection of variables is related by the following definitions: e = d + 5; a = n + 10; v = j + 13; n = f + 7; t = k + 10; k = h + 15; b = y + 4; d = t + 12; h = b + 14; j = y + 17; y = 16; f = v + 15; r = a + 2. Given that y = 16, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 12", "w": "z + 8", "c": "w + 11", "b": "c + 14", "x": "b + 7", "v": "x + 11", "o": "k + 1", "u": "o + 19", "y": "u + 9", "s": "y + 18", "a": "s + 4", "l": "a + 18", "k": 8}, "premises": {"k": 8}, "target": "v"}, "answer": {"steps": [["z", "k + 12", 20], ["w", "z + 8", 28], ["c", "w + 11", 39], ["b", "c + 14", 53], ["x", "b + 7", 60], ["v", "x + 11", 71]], "target_var_name": "v", "target_value": 71, "value_dict": {"k": 8, "z": 20, "w": 28, "c": 39, "b": 53, "x": 60, "v": 71}, "is_reverse": false}} | 544 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 9; b = c + 14; a = s + 4; z = k + 12; k = 8; x = b + 7; v = x + 11; u = o + 19; w = z + 8; o = k + 1; l = a + 18; s = y + 18; c = w + 11. If k = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = k + 12, which gives z = 20.\n2. Compute w using w = z + 8, which gives w = 28.\n3. Compute c using c = w + 11, which gives c = 39.\n4. Compute b using b = c + 14, which gives b = 53.\n5. Compute x using x = b + 7, which gives x = 60.\n6. Compute v using v = x + 11, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 544,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 9; b = c + 14; a = s + 4; z = k + 12; k = 8; x = b + 7; v = x + 11; u = o + 19; w = z + 8; o = k + 1; l = a + 18; s = y + 18; c = w + 11. If k = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 10", "i": "h + 1", "a": "i + 13", "x": "a + 3", "y": "x + 20", "v": "y + 13", "n": "d + 5", "u": "n + 3", "r": "u + 18", "e": "r + 13", "m": "e + 15", "f": "m + 11", "d": 12}, "premises": {"d": 12}, "target": "v"}, "answer": {"steps": [["h", "d + 10", 22], ["i", "h + 1", 23], ["a", "i + 13", 36], ["x", "a + 3", 39], ["y", "x + 20", 59], ["v", "y + 13", 72]], "target_var_name": "v", "target_value": 72, "value_dict": {"d": 12, "h": 22, "i": 23, "a": 36, "x": 39, "y": 59, "v": 72}, "is_reverse": false}} | 545 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = a + 3; u = n + 3; n = d + 5; i = h + 1; r = u + 18; f = m + 11; h = d + 10; a = i + 13; e = r + 13; y = x + 20; d = 12; m = e + 15; v = y + 13. Given that d = 12, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = d + 10, which gives h = 22.\n2. Compute i using i = h + 1, which gives i = 23.\n3. Compute a using a = i + 13, which gives a = 36.\n4. Compute x using x = a + 3, which gives x = 39.\n5. Compute y using y = x + 20, which gives y = 59.\n6. Compute v using v = y + 13, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 545,
"question": "Suppose a collection of variables is related by the following definitions: x = a + 3; u = n + 3; n = d + 5; i = h + 1; r = u + 18; f = m + 11; h = d + 10; a = i + 13; e = r + 13; y = x + 20; d = 12; m = e + 15; v = y + 13. Given that d = 12, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "i + 8", "l": "s + 3", "d": "l + 10", "z": "d + 15", "y": "z + 15", "u": "y + 6", "k": "i + 13", "j": "k + 2", "m": "j + 2", "g": "m + 2", "n": "g + 16", "h": "n + 9", "i": 1}, "premises": {"i": 1}, "target": "u"}, "answer": {"steps": [["s", "i + 8", 9], ["l", "s + 3", 12], ["d", "l + 10", 22], ["z", "d + 15", 37], ["y", "z + 15", 52], ["u", "y + 6", 58]], "target_var_name": "u", "target_value": 58, "value_dict": {"i": 1, "s": 9, "l": 12, "d": 22, "z": 37, "y": 52, "u": 58}, "is_reverse": false}} | 546 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 2; s = i + 8; l = s + 3; k = i + 13; n = g + 16; m = j + 2; z = d + 15; u = y + 6; h = n + 9; y = z + 15; i = 1; g = m + 2; d = l + 10. If i = 1, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = i + 8, which gives s = 9.\n2. Compute l using l = s + 3, which gives l = 12.\n3. Compute d using d = l + 10, which gives d = 22.\n4. Compute z using z = d + 15, which gives z = 37.\n5. Compute y using y = z + 15, which gives y = 52.\n6. Compute u using u = y + 6, which gives u = 58.\n\nThus, the final answer is u = \\boxed{58}.",
"index": 546,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 2; s = i + 8; l = s + 3; k = i + 13; n = g + 16; m = j + 2; z = d + 15; u = y + 6; h = n + 9; y = z + 15; i = 1; g = m + 2; d = l + 10. If i = 1, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 5", "d": "k + 16", "a": "d + 7", "f": "a + 14", "z": "f + 2", "g": "z + 12", "h": "o + 10", "l": "h + 12", "m": "l + 16", "t": "m + 1", "v": "t + 5", "c": "v + 3", "o": 9}, "premises": {"o": 9}, "target": "g"}, "answer": {"steps": [["z", "f + 2", "f + 14"], ["f", "a + 14", "a + 28"], ["a", "d + 7", "d + 35"], ["d", "k + 16", "k + 51"], ["k", "o + 5", "o + 56"], ["o", 9, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"o": 9}, "is_reverse": true}} | 547 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 14; z = f + 2; v = t + 5; d = k + 16; g = z + 12; k = o + 5; m = l + 16; h = o + 10; a = d + 7; c = v + 3; o = 9; l = h + 12; t = m + 1. If o = 9, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 2 to g, which gives g = f + 14.\n2. Substitute f = a + 14 to g, which gives g = a + 28.\n3. Substitute a = d + 7 to g, which gives g = d + 35.\n4. Substitute d = k + 16 to g, which gives g = k + 51.\n5. Substitute k = o + 5 to g, which gives g = o + 56.\n6. Substitute o = 9 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 14; z = f + 2; v = t + 5; d = k + 16; g = z + 12; k = o + 5; m = l + 16; h = o + 10; a = d + 7; c = v + 3; o = 9; l = h + 12; t = m + 1. If o = 9, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 4", "f": "t + 19", "z": "f + 2", "u": "z + 4", "k": "u + 11", "q": "k + 2", "a": "g + 8", "d": "a + 10", "y": "d + 20", "l": "y + 4", "e": "l + 19", "v": "e + 8", "g": 15}, "premises": {"g": 15}, "target": "q"}, "answer": {"steps": [["t", "g + 4", 19], ["f", "t + 19", 38], ["z", "f + 2", 40], ["u", "z + 4", 44], ["k", "u + 11", 55], ["q", "k + 2", 57]], "target_var_name": "q", "target_value": 57, "value_dict": {"g": 15, "t": 19, "f": 38, "z": 40, "u": 44, "k": 55, "q": 57}, "is_reverse": false}} | 548 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 2; u = z + 4; k = u + 11; y = d + 20; t = g + 4; q = k + 2; l = y + 4; d = a + 10; f = t + 19; v = e + 8; e = l + 19; a = g + 8; g = 15. If g = 15, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = g + 4, which gives t = 19.\n2. Compute f using f = t + 19, which gives f = 38.\n3. Compute z using z = f + 2, which gives z = 40.\n4. Compute u using u = z + 4, which gives u = 44.\n5. Compute k using k = u + 11, which gives k = 55.\n6. Compute q using q = k + 2, which gives q = 57.\n\nThus, the final answer is q = \\boxed{57}.",
"index": 548,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 2; u = z + 4; k = u + 11; y = d + 20; t = g + 4; q = k + 2; l = y + 4; d = a + 10; f = t + 19; v = e + 8; e = l + 19; a = g + 8; g = 15. If g = 15, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 4", "n": "s + 11", "a": "n + 2", "c": "a + 16", "v": "c + 14", "q": "v + 6", "b": "u + 10", "k": "b + 10", "h": "k + 10", "f": "h + 4", "j": "f + 15", "m": "j + 7", "u": 6}, "premises": {"u": 6}, "target": "q"}, "answer": {"steps": [["s", "u + 4", 10], ["n", "s + 11", 21], ["a", "n + 2", 23], ["c", "a + 16", 39], ["v", "c + 14", 53], ["q", "v + 6", 59]], "target_var_name": "q", "target_value": 59, "value_dict": {"u": 6, "s": 10, "n": 21, "a": 23, "c": 39, "v": 53, "q": 59}, "is_reverse": false}} | 549 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 10; f = h + 4; a = n + 2; u = 6; n = s + 11; v = c + 14; q = v + 6; k = b + 10; h = k + 10; s = u + 4; m = j + 7; c = a + 16; j = f + 15. If u = 6, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = u + 4, which gives s = 10.\n2. Compute n using n = s + 11, which gives n = 21.\n3. Compute a using a = n + 2, which gives a = 23.\n4. Compute c using c = a + 16, which gives c = 39.\n5. Compute v using v = c + 14, which gives v = 53.\n6. Compute q using q = v + 6, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 549,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = u + 10; f = h + 4; a = n + 2; u = 6; n = s + 11; v = c + 14; q = v + 6; k = b + 10; h = k + 10; s = u + 4; m = j + 7; c = a + 16; j = f + 15. If u = 6, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 5", "b": "e + 16", "q": "b + 11", "w": "q + 11", "j": "w + 9", "a": "j + 18", "o": "n + 2", "i": "o + 11", "t": "i + 7", "d": "t + 10", "c": "d + 20", "y": "c + 6", "n": 17}, "premises": {"n": 17}, "target": "a"}, "answer": {"steps": [["j", "w + 9", "w + 27"], ["w", "q + 11", "q + 38"], ["q", "b + 11", "b + 49"], ["b", "e + 16", "e + 65"], ["e", "n + 5", "n + 70"], ["n", 17, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"n": 17}, "is_reverse": true}} | 550 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 18; t = i + 7; w = q + 11; y = c + 6; b = e + 16; d = t + 10; n = 17; c = d + 20; o = n + 2; i = o + 11; q = b + 11; j = w + 9; e = n + 5. If n = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 9 to a, which gives a = w + 27.\n2. Substitute w = q + 11 to a, which gives a = q + 38.\n3. Substitute q = b + 11 to a, which gives a = b + 49.\n4. Substitute b = e + 16 to a, which gives a = e + 65.\n5. Substitute e = n + 5 to a, which gives a = n + 70.\n6. Substitute n = 17 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 550,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 18; t = i + 7; w = q + 11; y = c + 6; b = e + 16; d = t + 10; n = 17; c = d + 20; o = n + 2; i = o + 11; q = b + 11; j = w + 9; e = n + 5. If n = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 4", "z": "r + 5", "n": "z + 3", "y": "n + 10", "u": "y + 1", "m": "u + 14", "h": "a + 14", "t": "h + 20", "f": "t + 10", "l": "f + 7", "o": "l + 12", "e": "o + 3", "a": 10}, "premises": {"a": 10}, "target": "m"}, "answer": {"steps": [["u", "y + 1", "y + 15"], ["y", "n + 10", "n + 25"], ["n", "z + 3", "z + 28"], ["z", "r + 5", "r + 33"], ["r", "a + 4", "a + 37"], ["a", 10, "47"]], "target_var_name": "m", "target_value": 47, "value_dict": {"a": 10}, "is_reverse": true}} | 551 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = l + 12; m = u + 14; l = f + 7; t = h + 20; n = z + 3; y = n + 10; r = a + 4; e = o + 3; h = a + 14; f = t + 10; u = y + 1; z = r + 5; a = 10. If a = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 1 to m, which gives m = y + 15.\n2. Substitute y = n + 10 to m, which gives m = n + 25.\n3. Substitute n = z + 3 to m, which gives m = z + 28.\n4. Substitute z = r + 5 to m, which gives m = r + 33.\n5. Substitute r = a + 4 to m, which gives m = a + 37.\n6. Substitute a = 10 to m, which gives m = 47.\n\nThus, the final answer is m = \\boxed{47}.",
"index": 551,
"question": "Consider a system of variables where each variable is defined as follows: o = l + 12; m = u + 14; l = f + 7; t = h + 20; n = z + 3; y = n + 10; r = a + 4; e = o + 3; h = a + 14; f = t + 10; u = y + 1; z = r + 5; a = 10. If a = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"p": "l + 13", "o": "p + 16", "m": "o + 15", "c": "m + 16", "v": "c + 20", "w": "v + 20", "s": "l + 12", "n": "s + 8", "e": "n + 6", "b": "e + 1", "z": "b + 7", "g": "z + 12", "l": 18}, "premises": {"l": 18}, "target": "w"}, "answer": {"steps": [["v", "c + 20", "c + 40"], ["c", "m + 16", "m + 56"], ["m", "o + 15", "o + 71"], ["o", "p + 16", "p + 87"], ["p", "l + 13", "l + 100"], ["l", 18, "118"]], "target_var_name": "w", "target_value": 118, "value_dict": {"l": 18}, "is_reverse": true}} | 552 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = z + 12; o = p + 16; w = v + 20; m = o + 15; n = s + 8; b = e + 1; s = l + 12; v = c + 20; p = l + 13; z = b + 7; l = 18; e = n + 6; c = m + 16. If l = 18, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 118,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 20 to w, which gives w = c + 40.\n2. Substitute c = m + 16 to w, which gives w = m + 56.\n3. Substitute m = o + 15 to w, which gives w = o + 71.\n4. Substitute o = p + 16 to w, which gives w = p + 87.\n5. Substitute p = l + 13 to w, which gives w = l + 100.\n6. Substitute l = 18 to w, which gives w = 118.\n\nThus, the final answer is w = \\boxed{118}.",
"index": 552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = z + 12; o = p + 16; w = v + 20; m = o + 15; n = s + 8; b = e + 1; s = l + 12; v = c + 20; p = l + 13; z = b + 7; l = 18; e = n + 6; c = m + 16. If l = 18, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 13", "h": "g + 13", "r": "h + 17", "x": "r + 1", "j": "x + 5", "s": "j + 12", "o": "f + 4", "v": "o + 18", "t": "v + 18", "a": "t + 17", "w": "a + 7", "b": "w + 1", "f": 14}, "premises": {"f": 14}, "target": "s"}, "answer": {"steps": [["g", "f + 13", 27], ["h", "g + 13", 40], ["r", "h + 17", 57], ["x", "r + 1", 58], ["j", "x + 5", 63], ["s", "j + 12", 75]], "target_var_name": "s", "target_value": 75, "value_dict": {"f": 14, "g": 27, "h": 40, "r": 57, "x": 58, "j": 63, "s": 75}, "is_reverse": false}} | 553 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = w + 1; v = o + 18; t = v + 18; a = t + 17; h = g + 13; r = h + 17; o = f + 4; j = x + 5; f = 14; s = j + 12; w = a + 7; g = f + 13; x = r + 1. If f = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = f + 13, which gives g = 27.\n2. Compute h using h = g + 13, which gives h = 40.\n3. Compute r using r = h + 17, which gives r = 57.\n4. Compute x using x = r + 1, which gives x = 58.\n5. Compute j using j = x + 5, which gives j = 63.\n6. Compute s using s = j + 12, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 553,
"question": "Consider a system of variables where each variable is defined as follows: b = w + 1; v = o + 18; t = v + 18; a = t + 17; h = g + 13; r = h + 17; o = f + 4; j = x + 5; f = 14; s = j + 12; w = a + 7; g = f + 13; x = r + 1. If f = 14, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 19", "a": "f + 17", "s": "a + 19", "i": "s + 15", "z": "i + 10", "b": "z + 14", "m": "t + 14", "n": "m + 15", "p": "n + 1", "h": "p + 18", "d": "h + 3", "w": "d + 18", "t": 10}, "premises": {"t": 10}, "target": "b"}, "answer": {"steps": [["z", "i + 10", "i + 24"], ["i", "s + 15", "s + 39"], ["s", "a + 19", "a + 58"], ["a", "f + 17", "f + 75"], ["f", "t + 19", "t + 94"], ["t", 10, "104"]], "target_var_name": "b", "target_value": 104, "value_dict": {"t": 10}, "is_reverse": true}} | 554 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 14; f = t + 19; h = p + 18; p = n + 1; s = a + 19; a = f + 17; n = m + 15; i = s + 15; w = d + 18; m = t + 14; z = i + 10; t = 10; d = h + 3. Given that t = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 10 to b, which gives b = i + 24.\n2. Substitute i = s + 15 to b, which gives b = s + 39.\n3. Substitute s = a + 19 to b, which gives b = a + 58.\n4. Substitute a = f + 17 to b, which gives b = f + 75.\n5. Substitute f = t + 19 to b, which gives b = t + 94.\n6. Substitute t = 10 to b, which gives b = 104.\n\nThus, the final answer is b = \\boxed{104}.",
"index": 554,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 14; f = t + 19; h = p + 18; p = n + 1; s = a + 19; a = f + 17; n = m + 15; i = s + 15; w = d + 18; m = t + 14; z = i + 10; t = 10; d = h + 3. Given that t = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 1", "c": "b + 9", "p": "c + 6", "k": "p + 10", "q": "k + 16", "g": "q + 2", "u": "w + 20", "r": "u + 13", "v": "r + 18", "e": "v + 19", "m": "e + 3", "l": "m + 16", "w": 4}, "premises": {"w": 4}, "target": "g"}, "answer": {"steps": [["q", "k + 16", "k + 18"], ["k", "p + 10", "p + 28"], ["p", "c + 6", "c + 34"], ["c", "b + 9", "b + 43"], ["b", "w + 1", "w + 44"], ["w", 4, "48"]], "target_var_name": "g", "target_value": 48, "value_dict": {"w": 4}, "is_reverse": true}} | 555 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = p + 10; u = w + 20; g = q + 2; c = b + 9; w = 4; b = w + 1; e = v + 19; p = c + 6; q = k + 16; r = u + 13; v = r + 18; m = e + 3; l = m + 16. Given that w = 4, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 16 to g, which gives g = k + 18.\n2. Substitute k = p + 10 to g, which gives g = p + 28.\n3. Substitute p = c + 6 to g, which gives g = c + 34.\n4. Substitute c = b + 9 to g, which gives g = b + 43.\n5. Substitute b = w + 1 to g, which gives g = w + 44.\n6. Substitute w = 4 to g, which gives g = 48.\n\nThus, the final answer is g = \\boxed{48}.",
"index": 555,
"question": "Suppose a collection of variables is related by the following definitions: k = p + 10; u = w + 20; g = q + 2; c = b + 9; w = 4; b = w + 1; e = v + 19; p = c + 6; q = k + 16; r = u + 13; v = r + 18; m = e + 3; l = m + 16. Given that w = 4, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 14", "b": "e + 15", "z": "b + 7", "r": "z + 10", "p": "r + 15", "y": "p + 2", "q": "c + 1", "a": "q + 14", "w": "a + 18", "s": "w + 13", "g": "s + 7", "t": "g + 2", "c": 2}, "premises": {"c": 2}, "target": "y"}, "answer": {"steps": [["p", "r + 15", "r + 17"], ["r", "z + 10", "z + 27"], ["z", "b + 7", "b + 34"], ["b", "e + 15", "e + 49"], ["e", "c + 14", "c + 63"], ["c", 2, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"c": 2}, "is_reverse": true}} | 556 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 18; z = b + 7; t = g + 2; g = s + 7; r = z + 10; a = q + 14; c = 2; b = e + 15; p = r + 15; e = c + 14; y = p + 2; s = w + 13; q = c + 1. If c = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 15 to y, which gives y = r + 17.\n2. Substitute r = z + 10 to y, which gives y = z + 27.\n3. Substitute z = b + 7 to y, which gives y = b + 34.\n4. Substitute b = e + 15 to y, which gives y = e + 49.\n5. Substitute e = c + 14 to y, which gives y = c + 63.\n6. Substitute c = 2 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = a + 18; z = b + 7; t = g + 2; g = s + 7; r = z + 10; a = q + 14; c = 2; b = e + 15; p = r + 15; e = c + 14; y = p + 2; s = w + 13; q = c + 1. If c = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 19", "v": "a + 9", "z": "v + 18", "n": "z + 15", "r": "n + 6", "p": "r + 18", "g": "t + 12", "x": "g + 3", "h": "x + 2", "c": "h + 9", "i": "c + 12", "j": "i + 9", "t": 11}, "premises": {"t": 11}, "target": "p"}, "answer": {"steps": [["r", "n + 6", "n + 24"], ["n", "z + 15", "z + 39"], ["z", "v + 18", "v + 57"], ["v", "a + 9", "a + 66"], ["a", "t + 19", "t + 85"], ["t", 11, "96"]], "target_var_name": "p", "target_value": 96, "value_dict": {"t": 11}, "is_reverse": true}} | 557 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = r + 18; h = x + 2; g = t + 12; v = a + 9; r = n + 6; j = i + 9; c = h + 9; n = z + 15; i = c + 12; z = v + 18; t = 11; a = t + 19; x = g + 3. Given that t = 11, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 6 to p, which gives p = n + 24.\n2. Substitute n = z + 15 to p, which gives p = z + 39.\n3. Substitute z = v + 18 to p, which gives p = v + 57.\n4. Substitute v = a + 9 to p, which gives p = a + 66.\n5. Substitute a = t + 19 to p, which gives p = t + 85.\n6. Substitute t = 11 to p, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 557,
"question": "Suppose a collection of variables is related by the following definitions: p = r + 18; h = x + 2; g = t + 12; v = a + 9; r = n + 6; j = i + 9; c = h + 9; n = z + 15; i = c + 12; z = v + 18; t = 11; a = t + 19; x = g + 3. Given that t = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 9", "k": "i + 18", "b": "k + 2", "z": "b + 14", "g": "z + 1", "h": "g + 10", "m": "p + 15", "e": "m + 2", "w": "e + 5", "q": "w + 18", "n": "q + 17", "a": "n + 10", "p": 8}, "premises": {"p": 8}, "target": "h"}, "answer": {"steps": [["g", "z + 1", "z + 11"], ["z", "b + 14", "b + 25"], ["b", "k + 2", "k + 27"], ["k", "i + 18", "i + 45"], ["i", "p + 9", "p + 54"], ["p", 8, "62"]], "target_var_name": "h", "target_value": 62, "value_dict": {"p": 8}, "is_reverse": true}} | 558 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 8; e = m + 2; i = p + 9; q = w + 18; k = i + 18; h = g + 10; a = n + 10; g = z + 1; z = b + 14; n = q + 17; w = e + 5; m = p + 15; b = k + 2. If p = 8, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 1 to h, which gives h = z + 11.\n2. Substitute z = b + 14 to h, which gives h = b + 25.\n3. Substitute b = k + 2 to h, which gives h = k + 27.\n4. Substitute k = i + 18 to h, which gives h = i + 45.\n5. Substitute i = p + 9 to h, which gives h = p + 54.\n6. Substitute p = 8 to h, which gives h = 62.\n\nThus, the final answer is h = \\boxed{62}.",
"index": 558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 8; e = m + 2; i = p + 9; q = w + 18; k = i + 18; h = g + 10; a = n + 10; g = z + 1; z = b + 14; n = q + 17; w = e + 5; m = p + 15; b = k + 2. If p = 8, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 11", "z": "j + 8", "g": "z + 17", "l": "g + 13", "d": "l + 12", "n": "d + 15", "m": "f + 14", "p": "m + 11", "r": "p + 17", "o": "r + 13", "a": "o + 3", "q": "a + 7", "f": 12}, "premises": {"f": 12}, "target": "n"}, "answer": {"steps": [["j", "f + 11", 23], ["z", "j + 8", 31], ["g", "z + 17", 48], ["l", "g + 13", 61], ["d", "l + 12", 73], ["n", "d + 15", 88]], "target_var_name": "n", "target_value": 88, "value_dict": {"f": 12, "j": 23, "z": 31, "g": 48, "l": 61, "d": 73, "n": 88}, "is_reverse": false}} | 559 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 17; z = j + 8; a = o + 3; f = 12; j = f + 11; p = m + 11; g = z + 17; o = r + 13; m = f + 14; d = l + 12; q = a + 7; l = g + 13; n = d + 15. Given that f = 12, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = f + 11, which gives j = 23.\n2. Compute z using z = j + 8, which gives z = 31.\n3. Compute g using g = z + 17, which gives g = 48.\n4. Compute l using l = g + 13, which gives l = 61.\n5. Compute d using d = l + 12, which gives d = 73.\n6. Compute n using n = d + 15, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 559,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 17; z = j + 8; a = o + 3; f = 12; j = f + 11; p = m + 11; g = z + 17; o = r + 13; m = f + 14; d = l + 12; q = a + 7; l = g + 13; n = d + 15. Given that f = 12, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 15", "z": "k + 15", "u": "z + 14", "e": "u + 11", "n": "e + 11", "s": "n + 15", "r": "h + 15", "w": "r + 10", "d": "w + 10", "x": "d + 6", "j": "x + 12", "o": "j + 10", "h": 17}, "premises": {"h": 17}, "target": "s"}, "answer": {"steps": [["n", "e + 11", "e + 26"], ["e", "u + 11", "u + 37"], ["u", "z + 14", "z + 51"], ["z", "k + 15", "k + 66"], ["k", "h + 15", "h + 81"], ["h", 17, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"h": 17}, "is_reverse": true}} | 560 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 15; w = r + 10; r = h + 15; d = w + 10; s = n + 15; u = z + 14; n = e + 11; k = h + 15; h = 17; j = x + 12; e = u + 11; x = d + 6; o = j + 10. If h = 17, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 11 to s, which gives s = e + 26.\n2. Substitute e = u + 11 to s, which gives s = u + 37.\n3. Substitute u = z + 14 to s, which gives s = z + 51.\n4. Substitute z = k + 15 to s, which gives s = k + 66.\n5. Substitute k = h + 15 to s, which gives s = h + 81.\n6. Substitute h = 17 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 560,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 15; w = r + 10; r = h + 15; d = w + 10; s = n + 15; u = z + 14; n = e + 11; k = h + 15; h = 17; j = x + 12; e = u + 11; x = d + 6; o = j + 10. If h = 17, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"b": "v + 12", "a": "b + 3", "c": "a + 3", "l": "c + 8", "z": "l + 9", "w": "z + 3", "g": "v + 16", "t": "g + 10", "p": "t + 5", "e": "p + 7", "h": "e + 1", "x": "h + 11", "v": 9}, "premises": {"v": 9}, "target": "w"}, "answer": {"steps": [["b", "v + 12", 21], ["a", "b + 3", 24], ["c", "a + 3", 27], ["l", "c + 8", 35], ["z", "l + 9", 44], ["w", "z + 3", 47]], "target_var_name": "w", "target_value": 47, "value_dict": {"v": 9, "b": 21, "a": 24, "c": 27, "l": 35, "z": 44, "w": 47}, "is_reverse": false}} | 561 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 3; t = g + 10; g = v + 16; x = h + 11; b = v + 12; e = p + 7; h = e + 1; z = l + 9; v = 9; a = b + 3; p = t + 5; l = c + 8; c = a + 3. If v = 9, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = v + 12, which gives b = 21.\n2. Compute a using a = b + 3, which gives a = 24.\n3. Compute c using c = a + 3, which gives c = 27.\n4. Compute l using l = c + 8, which gives l = 35.\n5. Compute z using z = l + 9, which gives z = 44.\n6. Compute w using w = z + 3, which gives w = 47.\n\nThus, the final answer is w = \\boxed{47}.",
"index": 561,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 3; t = g + 10; g = v + 16; x = h + 11; b = v + 12; e = p + 7; h = e + 1; z = l + 9; v = 9; a = b + 3; p = t + 5; l = c + 8; c = a + 3. If v = 9, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 11", "x": "p + 19", "q": "x + 18", "v": "q + 20", "u": "v + 3", "f": "u + 13", "g": "o + 10", "s": "g + 18", "k": "s + 13", "d": "k + 13", "r": "d + 5", "n": "r + 13", "o": 5}, "premises": {"o": 5}, "target": "f"}, "answer": {"steps": [["u", "v + 3", "v + 16"], ["v", "q + 20", "q + 36"], ["q", "x + 18", "x + 54"], ["x", "p + 19", "p + 73"], ["p", "o + 11", "o + 84"], ["o", 5, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"o": 5}, "is_reverse": true}} | 562 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 13; n = r + 13; u = v + 3; x = p + 19; o = 5; k = s + 13; s = g + 18; r = d + 5; v = q + 20; p = o + 11; g = o + 10; f = u + 13; q = x + 18. Given that o = 5, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 3 to f, which gives f = v + 16.\n2. Substitute v = q + 20 to f, which gives f = q + 36.\n3. Substitute q = x + 18 to f, which gives f = x + 54.\n4. Substitute x = p + 19 to f, which gives f = p + 73.\n5. Substitute p = o + 11 to f, which gives f = o + 84.\n6. Substitute o = 5 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 562,
"question": "Suppose a collection of variables is related by the following definitions: d = k + 13; n = r + 13; u = v + 3; x = p + 19; o = 5; k = s + 13; s = g + 18; r = d + 5; v = q + 20; p = o + 11; g = o + 10; f = u + 13; q = x + 18. Given that o = 5, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 14", "c": "n + 20", "k": "c + 6", "j": "k + 19", "w": "j + 15", "x": "w + 20", "m": "f + 1", "s": "m + 11", "l": "s + 20", "e": "l + 10", "u": "e + 9", "v": "u + 19", "f": 17}, "premises": {"f": 17}, "target": "x"}, "answer": {"steps": [["n", "f + 14", 31], ["c", "n + 20", 51], ["k", "c + 6", 57], ["j", "k + 19", 76], ["w", "j + 15", 91], ["x", "w + 20", 111]], "target_var_name": "x", "target_value": 111, "value_dict": {"f": 17, "n": 31, "c": 51, "k": 57, "j": 76, "w": 91, "x": 111}, "is_reverse": false}} | 563 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = u + 19; u = e + 9; c = n + 20; s = m + 11; k = c + 6; x = w + 20; j = k + 19; l = s + 20; m = f + 1; f = 17; e = l + 10; n = f + 14; w = j + 15. Given that f = 17, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 111,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = f + 14, which gives n = 31.\n2. Compute c using c = n + 20, which gives c = 51.\n3. Compute k using k = c + 6, which gives k = 57.\n4. Compute j using j = k + 19, which gives j = 76.\n5. Compute w using w = j + 15, which gives w = 91.\n6. Compute x using x = w + 20, which gives x = 111.\n\nThus, the final answer is x = \\boxed{111}.",
"index": 563,
"question": "Suppose a collection of variables is related by the following definitions: v = u + 19; u = e + 9; c = n + 20; s = m + 11; k = c + 6; x = w + 20; j = k + 19; l = s + 20; m = f + 1; f = 17; e = l + 10; n = f + 14; w = j + 15. Given that f = 17, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 2", "h": "i + 16", "d": "h + 19", "v": "d + 4", "n": "v + 16", "p": "n + 6", "k": "j + 18", "u": "k + 8", "b": "u + 17", "r": "b + 12", "c": "r + 8", "w": "c + 16", "j": 10}, "premises": {"j": 10}, "target": "p"}, "answer": {"steps": [["i", "j + 2", 12], ["h", "i + 16", 28], ["d", "h + 19", 47], ["v", "d + 4", 51], ["n", "v + 16", 67], ["p", "n + 6", 73]], "target_var_name": "p", "target_value": 73, "value_dict": {"j": 10, "i": 12, "h": 28, "d": 47, "v": 51, "n": 67, "p": 73}, "is_reverse": false}} | 564 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 16; u = k + 8; r = b + 12; k = j + 18; v = d + 4; b = u + 17; p = n + 6; h = i + 16; c = r + 8; j = 10; i = j + 2; n = v + 16; d = h + 19. If j = 10, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = j + 2, which gives i = 12.\n2. Compute h using h = i + 16, which gives h = 28.\n3. Compute d using d = h + 19, which gives d = 47.\n4. Compute v using v = d + 4, which gives v = 51.\n5. Compute n using n = v + 16, which gives n = 67.\n6. Compute p using p = n + 6, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 564,
"question": "Consider a system of variables where each variable is defined as follows: w = c + 16; u = k + 8; r = b + 12; k = j + 18; v = d + 4; b = u + 17; p = n + 6; h = i + 16; c = r + 8; j = 10; i = j + 2; n = v + 16; d = h + 19. If j = 10, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 2", "k": "g + 15", "x": "k + 5", "c": "x + 6", "j": "c + 16", "a": "j + 4", "m": "v + 15", "h": "m + 11", "s": "h + 3", "r": "s + 20", "d": "r + 17", "p": "d + 8", "v": 2}, "premises": {"v": 2}, "target": "a"}, "answer": {"steps": [["j", "c + 16", "c + 20"], ["c", "x + 6", "x + 26"], ["x", "k + 5", "k + 31"], ["k", "g + 15", "g + 46"], ["g", "v + 2", "v + 48"], ["v", 2, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"v": 2}, "is_reverse": true}} | 565 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 3; r = s + 20; j = c + 16; m = v + 15; d = r + 17; g = v + 2; x = k + 5; v = 2; c = x + 6; a = j + 4; h = m + 11; p = d + 8; k = g + 15. If v = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 16 to a, which gives a = c + 20.\n2. Substitute c = x + 6 to a, which gives a = x + 26.\n3. Substitute x = k + 5 to a, which gives a = k + 31.\n4. Substitute k = g + 15 to a, which gives a = g + 46.\n5. Substitute g = v + 2 to a, which gives a = v + 48.\n6. Substitute v = 2 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = h + 3; r = s + 20; j = c + 16; m = v + 15; d = r + 17; g = v + 2; x = k + 5; v = 2; c = x + 6; a = j + 4; h = m + 11; p = d + 8; k = g + 15. If v = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 3", "y": "q + 9", "l": "y + 17", "n": "l + 20", "t": "n + 18", "b": "t + 13", "s": "e + 9", "g": "s + 1", "v": "g + 11", "k": "v + 15", "i": "k + 2", "f": "i + 8", "e": 10}, "premises": {"e": 10}, "target": "b"}, "answer": {"steps": [["t", "n + 18", "n + 31"], ["n", "l + 20", "l + 51"], ["l", "y + 17", "y + 68"], ["y", "q + 9", "q + 77"], ["q", "e + 3", "e + 80"], ["e", 10, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"e": 10}, "is_reverse": true}} | 566 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = v + 15; e = 10; i = k + 2; b = t + 13; l = y + 17; y = q + 9; v = g + 11; g = s + 1; s = e + 9; f = i + 8; q = e + 3; t = n + 18; n = l + 20. Given that e = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = n + 18 to b, which gives b = n + 31.\n2. Substitute n = l + 20 to b, which gives b = l + 51.\n3. Substitute l = y + 17 to b, which gives b = y + 68.\n4. Substitute y = q + 9 to b, which gives b = q + 77.\n5. Substitute q = e + 3 to b, which gives b = e + 80.\n6. Substitute e = 10 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 566,
"question": "Suppose a collection of variables is related by the following definitions: k = v + 15; e = 10; i = k + 2; b = t + 13; l = y + 17; y = q + 9; v = g + 11; g = s + 1; s = e + 9; f = i + 8; q = e + 3; t = n + 18; n = l + 20. Given that e = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 2", "d": "r + 14", "x": "d + 13", "z": "x + 12", "v": "z + 9", "g": "v + 20", "u": "l + 6", "o": "u + 3", "n": "o + 13", "f": "n + 17", "s": "f + 8", "e": "s + 15", "l": 2}, "premises": {"l": 2}, "target": "g"}, "answer": {"steps": [["v", "z + 9", "z + 29"], ["z", "x + 12", "x + 41"], ["x", "d + 13", "d + 54"], ["d", "r + 14", "r + 68"], ["r", "l + 2", "l + 70"], ["l", 2, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"l": 2}, "is_reverse": true}} | 567 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 12; g = v + 20; u = l + 6; r = l + 2; v = z + 9; s = f + 8; d = r + 14; f = n + 17; l = 2; n = o + 13; e = s + 15; o = u + 3; x = d + 13. If l = 2, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 9 to g, which gives g = z + 29.\n2. Substitute z = x + 12 to g, which gives g = x + 41.\n3. Substitute x = d + 13 to g, which gives g = d + 54.\n4. Substitute d = r + 14 to g, which gives g = r + 68.\n5. Substitute r = l + 2 to g, which gives g = l + 70.\n6. Substitute l = 2 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 567,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 12; g = v + 20; u = l + 6; r = l + 2; v = z + 9; s = f + 8; d = r + 14; f = n + 17; l = 2; n = o + 13; e = s + 15; o = u + 3; x = d + 13. If l = 2, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 2", "a": "u + 12", "b": "a + 20", "k": "b + 20", "j": "k + 6", "c": "j + 11", "e": "o + 4", "w": "e + 10", "p": "w + 10", "g": "p + 16", "t": "g + 9", "f": "t + 15", "o": 10}, "premises": {"o": 10}, "target": "c"}, "answer": {"steps": [["j", "k + 6", "k + 17"], ["k", "b + 20", "b + 37"], ["b", "a + 20", "a + 57"], ["a", "u + 12", "u + 69"], ["u", "o + 2", "o + 71"], ["o", 10, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"o": 10}, "is_reverse": true}} | 568 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 10; a = u + 12; e = o + 4; b = a + 20; t = g + 9; f = t + 15; g = p + 16; c = j + 11; p = w + 10; u = o + 2; k = b + 20; j = k + 6; w = e + 10. If o = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 6 to c, which gives c = k + 17.\n2. Substitute k = b + 20 to c, which gives c = b + 37.\n3. Substitute b = a + 20 to c, which gives c = a + 57.\n4. Substitute a = u + 12 to c, which gives c = u + 69.\n5. Substitute u = o + 2 to c, which gives c = o + 71.\n6. Substitute o = 10 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 10; a = u + 12; e = o + 4; b = a + 20; t = g + 9; f = t + 15; g = p + 16; c = j + 11; p = w + 10; u = o + 2; k = b + 20; j = k + 6; w = e + 10. If o = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 11", "l": "p + 15", "s": "l + 18", "y": "s + 3", "b": "y + 9", "n": "b + 14", "h": "i + 10", "m": "h + 19", "k": "m + 9", "r": "k + 17", "c": "r + 6", "e": "c + 16", "i": 12}, "premises": {"i": 12}, "target": "n"}, "answer": {"steps": [["p", "i + 11", 23], ["l", "p + 15", 38], ["s", "l + 18", 56], ["y", "s + 3", 59], ["b", "y + 9", 68], ["n", "b + 14", 82]], "target_var_name": "n", "target_value": 82, "value_dict": {"i": 12, "p": 23, "l": 38, "s": 56, "y": 59, "b": 68, "n": 82}, "is_reverse": false}} | 569 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 16; s = l + 18; y = s + 3; k = m + 9; l = p + 15; r = k + 17; h = i + 10; i = 12; b = y + 9; c = r + 6; m = h + 19; p = i + 11; n = b + 14. If i = 12, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = i + 11, which gives p = 23.\n2. Compute l using l = p + 15, which gives l = 38.\n3. Compute s using s = l + 18, which gives s = 56.\n4. Compute y using y = s + 3, which gives y = 59.\n5. Compute b using b = y + 9, which gives b = 68.\n6. Compute n using n = b + 14, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 569,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 16; s = l + 18; y = s + 3; k = m + 9; l = p + 15; r = k + 17; h = i + 10; i = 12; b = y + 9; c = r + 6; m = h + 19; p = i + 11; n = b + 14. If i = 12, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 4", "z": "c + 18", "f": "z + 8", "b": "f + 12", "p": "b + 4", "d": "p + 5", "w": "o + 9", "a": "w + 20", "m": "a + 7", "r": "m + 20", "i": "r + 18", "q": "i + 7", "o": 16}, "premises": {"o": 16}, "target": "d"}, "answer": {"steps": [["c", "o + 4", 20], ["z", "c + 18", 38], ["f", "z + 8", 46], ["b", "f + 12", 58], ["p", "b + 4", 62], ["d", "p + 5", 67]], "target_var_name": "d", "target_value": 67, "value_dict": {"o": 16, "c": 20, "z": 38, "f": 46, "b": 58, "p": 62, "d": 67}, "is_reverse": false}} | 570 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 20; c = o + 4; b = f + 12; z = c + 18; f = z + 8; w = o + 9; q = i + 7; i = r + 18; d = p + 5; o = 16; p = b + 4; m = a + 7; a = w + 20. If o = 16, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = o + 4, which gives c = 20.\n2. Compute z using z = c + 18, which gives z = 38.\n3. Compute f using f = z + 8, which gives f = 46.\n4. Compute b using b = f + 12, which gives b = 58.\n5. Compute p using p = b + 4, which gives p = 62.\n6. Compute d using d = p + 5, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 20; c = o + 4; b = f + 12; z = c + 18; f = z + 8; w = o + 9; q = i + 7; i = r + 18; d = p + 5; o = 16; p = b + 4; m = a + 7; a = w + 20. If o = 16, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"e": "g + 19", "y": "e + 17", "d": "y + 7", "t": "d + 15", "f": "t + 2", "s": "f + 12", "c": "g + 9", "r": "c + 17", "w": "r + 13", "h": "w + 19", "p": "h + 14", "u": "p + 16", "g": 4}, "premises": {"g": 4}, "target": "s"}, "answer": {"steps": [["e", "g + 19", 23], ["y", "e + 17", 40], ["d", "y + 7", 47], ["t", "d + 15", 62], ["f", "t + 2", 64], ["s", "f + 12", 76]], "target_var_name": "s", "target_value": 76, "value_dict": {"g": 4, "e": 23, "y": 40, "d": 47, "t": 62, "f": 64, "s": 76}, "is_reverse": false}} | 571 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 15; d = y + 7; h = w + 19; s = f + 12; p = h + 14; f = t + 2; e = g + 19; c = g + 9; y = e + 17; w = r + 13; u = p + 16; g = 4; r = c + 17. Given that g = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = g + 19, which gives e = 23.\n2. Compute y using y = e + 17, which gives y = 40.\n3. Compute d using d = y + 7, which gives d = 47.\n4. Compute t using t = d + 15, which gives t = 62.\n5. Compute f using f = t + 2, which gives f = 64.\n6. Compute s using s = f + 12, which gives s = 76.\n\nThus, the final answer is s = \\boxed{76}.",
"index": 571,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 15; d = y + 7; h = w + 19; s = f + 12; p = h + 14; f = t + 2; e = g + 19; c = g + 9; y = e + 17; w = r + 13; u = p + 16; g = 4; r = c + 17. Given that g = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 11", "t": "a + 3", "z": "t + 19", "v": "z + 16", "p": "v + 7", "c": "p + 2", "y": "e + 20", "h": "y + 2", "j": "h + 14", "g": "j + 14", "q": "g + 19", "d": "q + 13", "e": 16}, "premises": {"e": 16}, "target": "c"}, "answer": {"steps": [["a", "e + 11", 27], ["t", "a + 3", 30], ["z", "t + 19", 49], ["v", "z + 16", 65], ["p", "v + 7", 72], ["c", "p + 2", 74]], "target_var_name": "c", "target_value": 74, "value_dict": {"e": 16, "a": 27, "t": 30, "z": 49, "v": 65, "p": 72, "c": 74}, "is_reverse": false}} | 572 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 20; p = v + 7; e = 16; d = q + 13; j = h + 14; q = g + 19; z = t + 19; v = z + 16; t = a + 3; c = p + 2; h = y + 2; a = e + 11; g = j + 14. If e = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = e + 11, which gives a = 27.\n2. Compute t using t = a + 3, which gives t = 30.\n3. Compute z using z = t + 19, which gives z = 49.\n4. Compute v using v = z + 16, which gives v = 65.\n5. Compute p using p = v + 7, which gives p = 72.\n6. Compute c using c = p + 2, which gives c = 74.\n\nThus, the final answer is c = \\boxed{74}.",
"index": 572,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 20; p = v + 7; e = 16; d = q + 13; j = h + 14; q = g + 19; z = t + 19; v = z + 16; t = a + 3; c = p + 2; h = y + 2; a = e + 11; g = j + 14. If e = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 11", "n": "k + 20", "b": "n + 9", "z": "b + 8", "m": "z + 20", "p": "m + 6", "d": "c + 20", "j": "d + 11", "u": "j + 19", "y": "u + 13", "f": "y + 14", "x": "f + 14", "c": 18}, "premises": {"c": 18}, "target": "p"}, "answer": {"steps": [["m", "z + 20", "z + 26"], ["z", "b + 8", "b + 34"], ["b", "n + 9", "n + 43"], ["n", "k + 20", "k + 63"], ["k", "c + 11", "c + 74"], ["c", 18, "92"]], "target_var_name": "p", "target_value": 92, "value_dict": {"c": 18}, "is_reverse": true}} | 573 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 14; m = z + 20; n = k + 20; f = y + 14; c = 18; p = m + 6; y = u + 13; k = c + 11; z = b + 8; u = j + 19; b = n + 9; j = d + 11; d = c + 20. If c = 18, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 20 to p, which gives p = z + 26.\n2. Substitute z = b + 8 to p, which gives p = b + 34.\n3. Substitute b = n + 9 to p, which gives p = n + 43.\n4. Substitute n = k + 20 to p, which gives p = k + 63.\n5. Substitute k = c + 11 to p, which gives p = c + 74.\n6. Substitute c = 18 to p, which gives p = 92.\n\nThus, the final answer is p = \\boxed{92}.",
"index": 573,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 14; m = z + 20; n = k + 20; f = y + 14; c = 18; p = m + 6; y = u + 13; k = c + 11; z = b + 8; u = j + 19; b = n + 9; j = d + 11; d = c + 20. If c = 18, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"k": "m + 8", "a": "k + 14", "n": "a + 14", "c": "n + 6", "u": "c + 19", "i": "u + 20", "w": "m + 14", "s": "w + 17", "q": "s + 6", "b": "q + 2", "p": "b + 3", "r": "p + 10", "m": 10}, "premises": {"m": 10}, "target": "i"}, "answer": {"steps": [["k", "m + 8", 18], ["a", "k + 14", 32], ["n", "a + 14", 46], ["c", "n + 6", 52], ["u", "c + 19", 71], ["i", "u + 20", 91]], "target_var_name": "i", "target_value": 91, "value_dict": {"m": 10, "k": 18, "a": 32, "n": 46, "c": 52, "u": 71, "i": 91}, "is_reverse": false}} | 574 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 2; q = s + 6; r = p + 10; u = c + 19; m = 10; w = m + 14; i = u + 20; c = n + 6; p = b + 3; n = a + 14; a = k + 14; s = w + 17; k = m + 8. If m = 10, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = m + 8, which gives k = 18.\n2. Compute a using a = k + 14, which gives a = 32.\n3. Compute n using n = a + 14, which gives n = 46.\n4. Compute c using c = n + 6, which gives c = 52.\n5. Compute u using u = c + 19, which gives u = 71.\n6. Compute i using i = u + 20, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 574,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 2; q = s + 6; r = p + 10; u = c + 19; m = 10; w = m + 14; i = u + 20; c = n + 6; p = b + 3; n = a + 14; a = k + 14; s = w + 17; k = m + 8. If m = 10, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"g": "j + 6", "a": "g + 1", "w": "a + 17", "d": "w + 12", "k": "d + 13", "b": "k + 12", "f": "j + 19", "c": "f + 8", "q": "c + 1", "v": "q + 10", "r": "v + 9", "m": "r + 3", "j": 4}, "premises": {"j": 4}, "target": "b"}, "answer": {"steps": [["g", "j + 6", 10], ["a", "g + 1", 11], ["w", "a + 17", 28], ["d", "w + 12", 40], ["k", "d + 13", 53], ["b", "k + 12", 65]], "target_var_name": "b", "target_value": 65, "value_dict": {"j": 4, "g": 10, "a": 11, "w": 28, "d": 40, "k": 53, "b": 65}, "is_reverse": false}} | 575 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = 4; b = k + 12; a = g + 1; r = v + 9; f = j + 19; q = c + 1; d = w + 12; c = f + 8; k = d + 13; w = a + 17; g = j + 6; m = r + 3; v = q + 10. Given that j = 4, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = j + 6, which gives g = 10.\n2. Compute a using a = g + 1, which gives a = 11.\n3. Compute w using w = a + 17, which gives w = 28.\n4. Compute d using d = w + 12, which gives d = 40.\n5. Compute k using k = d + 13, which gives k = 53.\n6. Compute b using b = k + 12, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 575,
"question": "Suppose a collection of variables is related by the following definitions: j = 4; b = k + 12; a = g + 1; r = v + 9; f = j + 19; q = c + 1; d = w + 12; c = f + 8; k = d + 13; w = a + 17; g = j + 6; m = r + 3; v = q + 10. Given that j = 4, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 14", "b": "g + 6", "w": "b + 18", "j": "w + 19", "a": "j + 2", "s": "a + 20", "q": "v + 2", "e": "q + 5", "x": "e + 17", "y": "x + 7", "h": "y + 10", "u": "h + 10", "v": 18}, "premises": {"v": 18}, "target": "s"}, "answer": {"steps": [["g", "v + 14", 32], ["b", "g + 6", 38], ["w", "b + 18", 56], ["j", "w + 19", 75], ["a", "j + 2", 77], ["s", "a + 20", 97]], "target_var_name": "s", "target_value": 97, "value_dict": {"v": 18, "g": 32, "b": 38, "w": 56, "j": 75, "a": 77, "s": 97}, "is_reverse": false}} | 576 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = j + 2; s = a + 20; u = h + 10; e = q + 5; j = w + 19; v = 18; g = v + 14; h = y + 10; w = b + 18; y = x + 7; x = e + 17; q = v + 2; b = g + 6. If v = 18, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = v + 14, which gives g = 32.\n2. Compute b using b = g + 6, which gives b = 38.\n3. Compute w using w = b + 18, which gives w = 56.\n4. Compute j using j = w + 19, which gives j = 75.\n5. Compute a using a = j + 2, which gives a = 77.\n6. Compute s using s = a + 20, which gives s = 97.\n\nThus, the final answer is s = \\boxed{97}.",
"index": 576,
"question": "Consider a system of variables where each variable is defined as follows: a = j + 2; s = a + 20; u = h + 10; e = q + 5; j = w + 19; v = 18; g = v + 14; h = y + 10; w = b + 18; y = x + 7; x = e + 17; q = v + 2; b = g + 6. If v = 18, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 12", "y": "v + 16", "e": "y + 18", "u": "e + 8", "j": "u + 11", "l": "j + 3", "x": "f + 11", "h": "x + 12", "a": "h + 20", "g": "a + 8", "m": "g + 16", "i": "m + 9", "f": 3}, "premises": {"f": 3}, "target": "l"}, "answer": {"steps": [["v", "f + 12", 15], ["y", "v + 16", 31], ["e", "y + 18", 49], ["u", "e + 8", 57], ["j", "u + 11", 68], ["l", "j + 3", 71]], "target_var_name": "l", "target_value": 71, "value_dict": {"f": 3, "v": 15, "y": 31, "e": 49, "u": 57, "j": 68, "l": 71}, "is_reverse": false}} | 577 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 11; i = m + 9; h = x + 12; g = a + 8; j = u + 11; y = v + 16; a = h + 20; v = f + 12; e = y + 18; u = e + 8; m = g + 16; l = j + 3; f = 3. Given that f = 3, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = f + 12, which gives v = 15.\n2. Compute y using y = v + 16, which gives y = 31.\n3. Compute e using e = y + 18, which gives e = 49.\n4. Compute u using u = e + 8, which gives u = 57.\n5. Compute j using j = u + 11, which gives j = 68.\n6. Compute l using l = j + 3, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 577,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 11; i = m + 9; h = x + 12; g = a + 8; j = u + 11; y = v + 16; a = h + 20; v = f + 12; e = y + 18; u = e + 8; m = g + 16; l = j + 3; f = 3. Given that f = 3, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 6", "l": "a + 1", "p": "l + 9", "u": "p + 8", "h": "u + 2", "m": "h + 6", "j": "r + 4", "k": "j + 19", "w": "k + 14", "t": "w + 16", "o": "t + 16", "b": "o + 2", "r": 1}, "premises": {"r": 1}, "target": "m"}, "answer": {"steps": [["h", "u + 2", "u + 8"], ["u", "p + 8", "p + 16"], ["p", "l + 9", "l + 25"], ["l", "a + 1", "a + 26"], ["a", "r + 6", "r + 32"], ["r", 1, "33"]], "target_var_name": "m", "target_value": 33, "value_dict": {"r": 1}, "is_reverse": true}} | 578 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 14; j = r + 4; p = l + 9; u = p + 8; r = 1; o = t + 16; k = j + 19; a = r + 6; m = h + 6; h = u + 2; b = o + 2; t = w + 16; l = a + 1. If r = 1, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 2 to m, which gives m = u + 8.\n2. Substitute u = p + 8 to m, which gives m = p + 16.\n3. Substitute p = l + 9 to m, which gives m = l + 25.\n4. Substitute l = a + 1 to m, which gives m = a + 26.\n5. Substitute a = r + 6 to m, which gives m = r + 32.\n6. Substitute r = 1 to m, which gives m = 33.\n\nThus, the final answer is m = \\boxed{33}.",
"index": 578,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = k + 14; j = r + 4; p = l + 9; u = p + 8; r = 1; o = t + 16; k = j + 19; a = r + 6; m = h + 6; h = u + 2; b = o + 2; t = w + 16; l = a + 1. If r = 1, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 19", "b": "a + 13", "v": "b + 17", "t": "v + 3", "d": "t + 15", "i": "d + 4", "l": "u + 4", "z": "l + 4", "p": "z + 16", "o": "p + 19", "w": "o + 20", "h": "w + 5", "u": 17}, "premises": {"u": 17}, "target": "i"}, "answer": {"steps": [["a", "u + 19", 36], ["b", "a + 13", 49], ["v", "b + 17", 66], ["t", "v + 3", 69], ["d", "t + 15", 84], ["i", "d + 4", 88]], "target_var_name": "i", "target_value": 88, "value_dict": {"u": 17, "a": 36, "b": 49, "v": 66, "t": 69, "d": 84, "i": 88}, "is_reverse": false}} | 579 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 5; a = u + 19; v = b + 17; o = p + 19; d = t + 15; t = v + 3; u = 17; l = u + 4; w = o + 20; z = l + 4; b = a + 13; i = d + 4; p = z + 16. If u = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = u + 19, which gives a = 36.\n2. Compute b using b = a + 13, which gives b = 49.\n3. Compute v using v = b + 17, which gives v = 66.\n4. Compute t using t = v + 3, which gives t = 69.\n5. Compute d using d = t + 15, which gives d = 84.\n6. Compute i using i = d + 4, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 579,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = w + 5; a = u + 19; v = b + 17; o = p + 19; d = t + 15; t = v + 3; u = 17; l = u + 4; w = o + 20; z = l + 4; b = a + 13; i = d + 4; p = z + 16. If u = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 8", "q": "m + 1", "t": "q + 7", "p": "t + 13", "l": "p + 11", "s": "l + 18", "o": "y + 11", "j": "o + 8", "d": "j + 20", "v": "d + 4", "r": "v + 4", "b": "r + 5", "y": 11}, "premises": {"y": 11}, "target": "s"}, "answer": {"steps": [["l", "p + 11", "p + 29"], ["p", "t + 13", "t + 42"], ["t", "q + 7", "q + 49"], ["q", "m + 1", "m + 50"], ["m", "y + 8", "y + 58"], ["y", 11, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"y": 11}, "is_reverse": true}} | 580 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 11; y = 11; s = l + 18; m = y + 8; j = o + 8; v = d + 4; b = r + 5; t = q + 7; p = t + 13; d = j + 20; q = m + 1; o = y + 11; r = v + 4. If y = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 11 to s, which gives s = p + 29.\n2. Substitute p = t + 13 to s, which gives s = t + 42.\n3. Substitute t = q + 7 to s, which gives s = q + 49.\n4. Substitute q = m + 1 to s, which gives s = m + 50.\n5. Substitute m = y + 8 to s, which gives s = y + 58.\n6. Substitute y = 11 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 580,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 11; y = 11; s = l + 18; m = y + 8; j = o + 8; v = d + 4; b = r + 5; t = q + 7; p = t + 13; d = j + 20; q = m + 1; o = y + 11; r = v + 4. If y = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 4", "c": "m + 6", "i": "c + 17", "q": "i + 5", "k": "q + 19", "s": "k + 20", "b": "f + 5", "n": "b + 11", "w": "n + 3", "r": "w + 14", "j": "r + 16", "t": "j + 2", "f": 9}, "premises": {"f": 9}, "target": "s"}, "answer": {"steps": [["m", "f + 4", 13], ["c", "m + 6", 19], ["i", "c + 17", 36], ["q", "i + 5", 41], ["k", "q + 19", 60], ["s", "k + 20", 80]], "target_var_name": "s", "target_value": 80, "value_dict": {"f": 9, "m": 13, "c": 19, "i": 36, "q": 41, "k": 60, "s": 80}, "is_reverse": false}} | 581 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 2; r = w + 14; w = n + 3; m = f + 4; f = 9; j = r + 16; c = m + 6; k = q + 19; q = i + 5; s = k + 20; i = c + 17; b = f + 5; n = b + 11. If f = 9, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = f + 4, which gives m = 13.\n2. Compute c using c = m + 6, which gives c = 19.\n3. Compute i using i = c + 17, which gives i = 36.\n4. Compute q using q = i + 5, which gives q = 41.\n5. Compute k using k = q + 19, which gives k = 60.\n6. Compute s using s = k + 20, which gives s = 80.\n\nThus, the final answer is s = \\boxed{80}.",
"index": 581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 2; r = w + 14; w = n + 3; m = f + 4; f = 9; j = r + 16; c = m + 6; k = q + 19; q = i + 5; s = k + 20; i = c + 17; b = f + 5; n = b + 11. If f = 9, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 14", "v": "i + 3", "z": "v + 16", "m": "z + 5", "f": "m + 4", "c": "f + 3", "s": "o + 1", "y": "s + 3", "t": "y + 6", "n": "t + 4", "l": "n + 5", "e": "l + 20", "o": 7}, "premises": {"o": 7}, "target": "c"}, "answer": {"steps": [["i", "o + 14", 21], ["v", "i + 3", 24], ["z", "v + 16", 40], ["m", "z + 5", 45], ["f", "m + 4", 49], ["c", "f + 3", 52]], "target_var_name": "c", "target_value": 52, "value_dict": {"o": 7, "i": 21, "v": 24, "z": 40, "m": 45, "f": 49, "c": 52}, "is_reverse": false}} | 582 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = n + 5; n = t + 4; e = l + 20; c = f + 3; y = s + 3; f = m + 4; t = y + 6; m = z + 5; z = v + 16; i = o + 14; v = i + 3; o = 7; s = o + 1. If o = 7, determine 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. Compute i using i = o + 14, which gives i = 21.\n2. Compute v using v = i + 3, which gives v = 24.\n3. Compute z using z = v + 16, which gives z = 40.\n4. Compute m using m = z + 5, which gives m = 45.\n5. Compute f using f = m + 4, which gives f = 49.\n6. Compute c using c = f + 3, which gives c = 52.\n\nThus, the final answer is c = \\boxed{52}.",
"index": 582,
"question": "Consider a system of variables where each variable is defined as follows: l = n + 5; n = t + 4; e = l + 20; c = f + 3; y = s + 3; f = m + 4; t = y + 6; m = z + 5; z = v + 16; i = o + 14; v = i + 3; o = 7; s = o + 1. If o = 7, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"h": "t + 20", "k": "h + 19", "q": "k + 13", "a": "q + 10", "o": "a + 4", "r": "o + 16", "b": "t + 1", "x": "b + 8", "f": "x + 18", "u": "f + 18", "p": "u + 11", "j": "p + 20", "t": 6}, "premises": {"t": 6}, "target": "r"}, "answer": {"steps": [["h", "t + 20", 26], ["k", "h + 19", 45], ["q", "k + 13", 58], ["a", "q + 10", 68], ["o", "a + 4", 72], ["r", "o + 16", 88]], "target_var_name": "r", "target_value": 88, "value_dict": {"t": 6, "h": 26, "k": 45, "q": 58, "a": 68, "o": 72, "r": 88}, "is_reverse": false}} | 583 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 11; q = k + 13; t = 6; a = q + 10; j = p + 20; o = a + 4; f = x + 18; b = t + 1; x = b + 8; r = o + 16; k = h + 19; u = f + 18; h = t + 20. If t = 6, what is the resulting 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. Compute h using h = t + 20, which gives h = 26.\n2. Compute k using k = h + 19, which gives k = 45.\n3. Compute q using q = k + 13, which gives q = 58.\n4. Compute a using a = q + 10, which gives a = 68.\n5. Compute o using o = a + 4, which gives o = 72.\n6. Compute r using r = o + 16, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 583,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 11; q = k + 13; t = 6; a = q + 10; j = p + 20; o = a + 4; f = x + 18; b = t + 1; x = b + 8; r = o + 16; k = h + 19; u = f + 18; h = t + 20. If t = 6, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 11", "u": "i + 13", "c": "u + 6", "d": "c + 4", "s": "d + 19", "v": "s + 11", "k": "w + 10", "p": "k + 10", "j": "p + 4", "l": "j + 15", "g": "l + 14", "h": "g + 4", "w": 14}, "premises": {"w": 14}, "target": "v"}, "answer": {"steps": [["i", "w + 11", 25], ["u", "i + 13", 38], ["c", "u + 6", 44], ["d", "c + 4", 48], ["s", "d + 19", 67], ["v", "s + 11", 78]], "target_var_name": "v", "target_value": 78, "value_dict": {"w": 14, "i": 25, "u": 38, "c": 44, "d": 48, "s": 67, "v": 78}, "is_reverse": false}} | 584 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 14; i = w + 11; p = k + 10; h = g + 4; d = c + 4; v = s + 11; u = i + 13; l = j + 15; j = p + 4; k = w + 10; s = d + 19; g = l + 14; c = u + 6. If w = 14, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = w + 11, which gives i = 25.\n2. Compute u using u = i + 13, which gives u = 38.\n3. Compute c using c = u + 6, which gives c = 44.\n4. Compute d using d = c + 4, which gives d = 48.\n5. Compute s using s = d + 19, which gives s = 67.\n6. Compute v using v = s + 11, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 584,
"question": "Consider a system of variables where each variable is defined as follows: w = 14; i = w + 11; p = k + 10; h = g + 4; d = c + 4; v = s + 11; u = i + 13; l = j + 15; j = p + 4; k = w + 10; s = d + 19; g = l + 14; c = u + 6. If w = 14, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 20", "k": "r + 4", "t": "k + 12", "z": "t + 10", "o": "z + 19", "v": "o + 19", "q": "f + 8", "y": "q + 6", "d": "y + 3", "n": "d + 15", "u": "n + 20", "h": "u + 10", "f": 5}, "premises": {"f": 5}, "target": "v"}, "answer": {"steps": [["o", "z + 19", "z + 38"], ["z", "t + 10", "t + 48"], ["t", "k + 12", "k + 60"], ["k", "r + 4", "r + 64"], ["r", "f + 20", "f + 84"], ["f", 5, "89"]], "target_var_name": "v", "target_value": 89, "value_dict": {"f": 5}, "is_reverse": true}} | 585 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = f + 8; n = d + 15; d = y + 3; t = k + 12; v = o + 19; o = z + 19; r = f + 20; u = n + 20; f = 5; z = t + 10; k = r + 4; h = u + 10; y = q + 6. Given that f = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = z + 19 to v, which gives v = z + 38.\n2. Substitute z = t + 10 to v, which gives v = t + 48.\n3. Substitute t = k + 12 to v, which gives v = k + 60.\n4. Substitute k = r + 4 to v, which gives v = r + 64.\n5. Substitute r = f + 20 to v, which gives v = f + 84.\n6. Substitute f = 5 to v, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 585,
"question": "Suppose a collection of variables is related by the following definitions: q = f + 8; n = d + 15; d = y + 3; t = k + 12; v = o + 19; o = z + 19; r = f + 20; u = n + 20; f = 5; z = t + 10; k = r + 4; h = u + 10; y = q + 6. Given that f = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "y + 14", "i": "v + 7", "l": "i + 9", "p": "l + 4", "u": "p + 11", "z": "u + 20", "g": "y + 20", "f": "g + 18", "t": "f + 15", "n": "t + 8", "k": "n + 4", "q": "k + 5", "y": 10}, "premises": {"y": 10}, "target": "z"}, "answer": {"steps": [["v", "y + 14", 24], ["i", "v + 7", 31], ["l", "i + 9", 40], ["p", "l + 4", 44], ["u", "p + 11", 55], ["z", "u + 20", 75]], "target_var_name": "z", "target_value": 75, "value_dict": {"y": 10, "v": 24, "i": 31, "l": 40, "p": 44, "u": 55, "z": 75}, "is_reverse": false}} | 586 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 9; t = f + 15; g = y + 20; v = y + 14; y = 10; i = v + 7; z = u + 20; u = p + 11; n = t + 8; f = g + 18; p = l + 4; k = n + 4; q = k + 5. If y = 10, what is the resulting 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. Compute v using v = y + 14, which gives v = 24.\n2. Compute i using i = v + 7, which gives i = 31.\n3. Compute l using l = i + 9, which gives l = 40.\n4. Compute p using p = l + 4, which gives p = 44.\n5. Compute u using u = p + 11, which gives u = 55.\n6. Compute z using z = u + 20, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 586,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 9; t = f + 15; g = y + 20; v = y + 14; y = 10; i = v + 7; z = u + 20; u = p + 11; n = t + 8; f = g + 18; p = l + 4; k = n + 4; q = k + 5. If y = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 8", "d": "b + 16", "m": "d + 19", "g": "m + 2", "i": "g + 19", "r": "i + 11", "c": "t + 16", "f": "c + 10", "y": "f + 12", "w": "y + 18", "v": "w + 6", "j": "v + 2", "t": 16}, "premises": {"t": 16}, "target": "r"}, "answer": {"steps": [["b", "t + 8", 24], ["d", "b + 16", 40], ["m", "d + 19", 59], ["g", "m + 2", 61], ["i", "g + 19", 80], ["r", "i + 11", 91]], "target_var_name": "r", "target_value": 91, "value_dict": {"t": 16, "b": 24, "d": 40, "m": 59, "g": 61, "i": 80, "r": 91}, "is_reverse": false}} | 587 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 2; b = t + 8; v = w + 6; m = d + 19; d = b + 16; y = f + 12; c = t + 16; j = v + 2; w = y + 18; i = g + 19; f = c + 10; r = i + 11; t = 16. If t = 16, 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. Compute b using b = t + 8, which gives b = 24.\n2. Compute d using d = b + 16, which gives d = 40.\n3. Compute m using m = d + 19, which gives m = 59.\n4. Compute g using g = m + 2, which gives g = 61.\n5. Compute i using i = g + 19, which gives i = 80.\n6. Compute r using r = i + 11, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 587,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 2; b = t + 8; v = w + 6; m = d + 19; d = b + 16; y = f + 12; c = t + 16; j = v + 2; w = y + 18; i = g + 19; f = c + 10; r = i + 11; t = 16. If t = 16, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"n": "z + 2", "e": "n + 5", "t": "e + 16", "o": "t + 7", "x": "o + 7", "v": "x + 18", "g": "z + 16", "d": "g + 6", "j": "d + 5", "i": "j + 20", "h": "i + 14", "m": "h + 6", "z": 16}, "premises": {"z": 16}, "target": "v"}, "answer": {"steps": [["x", "o + 7", "o + 25"], ["o", "t + 7", "t + 32"], ["t", "e + 16", "e + 48"], ["e", "n + 5", "n + 53"], ["n", "z + 2", "z + 55"], ["z", 16, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"z": 16}, "is_reverse": true}} | 588 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 16; j = d + 5; d = g + 6; n = z + 2; m = h + 6; o = t + 7; g = z + 16; i = j + 20; h = i + 14; e = n + 5; t = e + 16; v = x + 18; x = o + 7. If z = 16, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 7 to v, which gives v = o + 25.\n2. Substitute o = t + 7 to v, which gives v = t + 32.\n3. Substitute t = e + 16 to v, which gives v = e + 48.\n4. Substitute e = n + 5 to v, which gives v = n + 53.\n5. Substitute n = z + 2 to v, which gives v = z + 55.\n6. Substitute z = 16 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 588,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 16; j = d + 5; d = g + 6; n = z + 2; m = h + 6; o = t + 7; g = z + 16; i = j + 20; h = i + 14; e = n + 5; t = e + 16; v = x + 18; x = o + 7. If z = 16, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 4", "k": "r + 7", "c": "k + 19", "y": "c + 6", "m": "y + 16", "f": "m + 15", "i": "b + 5", "v": "i + 16", "j": "v + 12", "p": "j + 15", "o": "p + 20", "z": "o + 15", "b": 8}, "premises": {"b": 8}, "target": "f"}, "answer": {"steps": [["m", "y + 16", "y + 31"], ["y", "c + 6", "c + 37"], ["c", "k + 19", "k + 56"], ["k", "r + 7", "r + 63"], ["r", "b + 4", "b + 67"], ["b", 8, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"b": 8}, "is_reverse": true}} | 589 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 16; i = b + 5; j = v + 12; p = j + 15; z = o + 15; v = i + 16; c = k + 19; o = p + 20; b = 8; k = r + 7; f = m + 15; r = b + 4; y = c + 6. If b = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 16 to f, which gives f = y + 31.\n2. Substitute y = c + 6 to f, which gives f = c + 37.\n3. Substitute c = k + 19 to f, which gives f = k + 56.\n4. Substitute k = r + 7 to f, which gives f = r + 63.\n5. Substitute r = b + 4 to f, which gives f = b + 67.\n6. Substitute b = 8 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 16; i = b + 5; j = v + 12; p = j + 15; z = o + 15; v = i + 16; c = k + 19; o = p + 20; b = 8; k = r + 7; f = m + 15; r = b + 4; y = c + 6. If b = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "f + 7", "s": "w + 4", "t": "s + 12", "n": "t + 17", "x": "n + 11", "z": "x + 13", "p": "f + 14", "a": "p + 11", "o": "a + 8", "r": "o + 18", "e": "r + 16", "q": "e + 10", "f": 14}, "premises": {"f": 14}, "target": "z"}, "answer": {"steps": [["w", "f + 7", 21], ["s", "w + 4", 25], ["t", "s + 12", 37], ["n", "t + 17", 54], ["x", "n + 11", 65], ["z", "x + 13", 78]], "target_var_name": "z", "target_value": 78, "value_dict": {"f": 14, "w": 21, "s": 25, "t": 37, "n": 54, "x": 65, "z": 78}, "is_reverse": false}} | 590 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 8; r = o + 18; w = f + 7; n = t + 17; s = w + 4; q = e + 10; e = r + 16; p = f + 14; z = x + 13; f = 14; t = s + 12; x = n + 11; a = p + 11. If f = 14, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = f + 7, which gives w = 21.\n2. Compute s using s = w + 4, which gives s = 25.\n3. Compute t using t = s + 12, which gives t = 37.\n4. Compute n using n = t + 17, which gives n = 54.\n5. Compute x using x = n + 11, which gives x = 65.\n6. Compute z using z = x + 13, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 590,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 8; r = o + 18; w = f + 7; n = t + 17; s = w + 4; q = e + 10; e = r + 16; p = f + 14; z = x + 13; f = 14; t = s + 12; x = n + 11; a = p + 11. If f = 14, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 14", "r": "p + 14", "f": "r + 3", "g": "f + 19", "b": "g + 16", "m": "b + 14", "u": "v + 6", "x": "u + 4", "s": "x + 13", "h": "s + 20", "w": "h + 18", "t": "w + 3", "v": 2}, "premises": {"v": 2}, "target": "m"}, "answer": {"steps": [["p", "v + 14", 16], ["r", "p + 14", 30], ["f", "r + 3", 33], ["g", "f + 19", 52], ["b", "g + 16", 68], ["m", "b + 14", 82]], "target_var_name": "m", "target_value": 82, "value_dict": {"v": 2, "p": 16, "r": 30, "f": 33, "g": 52, "b": 68, "m": 82}, "is_reverse": false}} | 591 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = f + 19; v = 2; f = r + 3; x = u + 4; r = p + 14; h = s + 20; b = g + 16; w = h + 18; m = b + 14; t = w + 3; u = v + 6; s = x + 13; p = v + 14. Given that v = 2, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = v + 14, which gives p = 16.\n2. Compute r using r = p + 14, which gives r = 30.\n3. Compute f using f = r + 3, which gives f = 33.\n4. Compute g using g = f + 19, which gives g = 52.\n5. Compute b using b = g + 16, which gives b = 68.\n6. Compute m using m = b + 14, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 591,
"question": "Suppose a collection of variables is related by the following definitions: g = f + 19; v = 2; f = r + 3; x = u + 4; r = p + 14; h = s + 20; b = g + 16; w = h + 18; m = b + 14; t = w + 3; u = v + 6; s = x + 13; p = v + 14. Given that v = 2, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 3", "u": "s + 15", "e": "u + 14", "q": "e + 4", "x": "q + 19", "n": "x + 17", "h": "g + 14", "d": "h + 19", "j": "d + 20", "b": "j + 13", "z": "b + 4", "l": "z + 19", "g": 6}, "premises": {"g": 6}, "target": "n"}, "answer": {"steps": [["s", "g + 3", 9], ["u", "s + 15", 24], ["e", "u + 14", 38], ["q", "e + 4", 42], ["x", "q + 19", 61], ["n", "x + 17", 78]], "target_var_name": "n", "target_value": 78, "value_dict": {"g": 6, "s": 9, "u": 24, "e": 38, "q": 42, "x": 61, "n": 78}, "is_reverse": false}} | 592 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = z + 19; d = h + 19; x = q + 19; q = e + 4; b = j + 13; e = u + 14; s = g + 3; u = s + 15; h = g + 14; j = d + 20; g = 6; z = b + 4; n = x + 17. If g = 6, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = g + 3, which gives s = 9.\n2. Compute u using u = s + 15, which gives u = 24.\n3. Compute e using e = u + 14, which gives e = 38.\n4. Compute q using q = e + 4, which gives q = 42.\n5. Compute x using x = q + 19, which gives x = 61.\n6. Compute n using n = x + 17, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 592,
"question": "Consider a system of variables where each variable is defined as follows: l = z + 19; d = h + 19; x = q + 19; q = e + 4; b = j + 13; e = u + 14; s = g + 3; u = s + 15; h = g + 14; j = d + 20; g = 6; z = b + 4; n = x + 17. If g = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 13", "k": "f + 20", "q": "k + 11", "u": "q + 9", "p": "u + 7", "o": "p + 15", "x": "t + 4", "e": "x + 1", "j": "e + 20", "s": "j + 14", "z": "s + 16", "d": "z + 7", "t": 1}, "premises": {"t": 1}, "target": "o"}, "answer": {"steps": [["p", "u + 7", "u + 22"], ["u", "q + 9", "q + 31"], ["q", "k + 11", "k + 42"], ["k", "f + 20", "f + 62"], ["f", "t + 13", "t + 75"], ["t", 1, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"t": 1}, "is_reverse": true}} | 593 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = e + 20; e = x + 1; d = z + 7; t = 1; k = f + 20; s = j + 14; z = s + 16; u = q + 9; p = u + 7; f = t + 13; x = t + 4; q = k + 11; o = p + 15. If t = 1, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 7 to o, which gives o = u + 22.\n2. Substitute u = q + 9 to o, which gives o = q + 31.\n3. Substitute q = k + 11 to o, which gives o = k + 42.\n4. Substitute k = f + 20 to o, which gives o = f + 62.\n5. Substitute f = t + 13 to o, which gives o = t + 75.\n6. Substitute t = 1 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 593,
"question": "Consider a system of variables where each variable is defined as follows: j = e + 20; e = x + 1; d = z + 7; t = 1; k = f + 20; s = j + 14; z = s + 16; u = q + 9; p = u + 7; f = t + 13; x = t + 4; q = k + 11; o = p + 15. If t = 1, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 16", "z": "j + 17", "g": "z + 5", "q": "g + 14", "e": "q + 12", "i": "e + 12", "d": "o + 2", "f": "d + 7", "y": "f + 17", "c": "y + 20", "p": "c + 17", "l": "p + 7", "o": 15}, "premises": {"o": 15}, "target": "i"}, "answer": {"steps": [["e", "q + 12", "q + 24"], ["q", "g + 14", "g + 38"], ["g", "z + 5", "z + 43"], ["z", "j + 17", "j + 60"], ["j", "o + 16", "o + 76"], ["o", 15, "91"]], "target_var_name": "i", "target_value": 91, "value_dict": {"o": 15}, "is_reverse": true}} | 594 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 7; i = e + 12; g = z + 5; y = f + 17; z = j + 17; c = y + 20; o = 15; d = o + 2; f = d + 7; q = g + 14; j = o + 16; p = c + 17; e = q + 12. If o = 15, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 12 to i, which gives i = q + 24.\n2. Substitute q = g + 14 to i, which gives i = g + 38.\n3. Substitute g = z + 5 to i, which gives i = z + 43.\n4. Substitute z = j + 17 to i, which gives i = j + 60.\n5. Substitute j = o + 16 to i, which gives i = o + 76.\n6. Substitute o = 15 to i, which gives i = 91.\n\nThus, the final answer is i = \\boxed{91}.",
"index": 594,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 7; i = e + 12; g = z + 5; y = f + 17; z = j + 17; c = y + 20; o = 15; d = o + 2; f = d + 7; q = g + 14; j = o + 16; p = c + 17; e = q + 12. If o = 15, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 20", "n": "z + 13", "k": "n + 7", "b": "k + 9", "q": "b + 10", "j": "q + 10", "y": "m + 15", "l": "y + 15", "t": "l + 19", "u": "t + 1", "w": "u + 8", "a": "w + 1", "m": 14}, "premises": {"m": 14}, "target": "j"}, "answer": {"steps": [["q", "b + 10", "b + 20"], ["b", "k + 9", "k + 29"], ["k", "n + 7", "n + 36"], ["n", "z + 13", "z + 49"], ["z", "m + 20", "m + 69"], ["m", 14, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"m": 14}, "is_reverse": true}} | 595 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = n + 7; z = m + 20; j = q + 10; q = b + 10; m = 14; a = w + 1; w = u + 8; b = k + 9; y = m + 15; t = l + 19; l = y + 15; u = t + 1; n = z + 13. If m = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 10 to j, which gives j = b + 20.\n2. Substitute b = k + 9 to j, which gives j = k + 29.\n3. Substitute k = n + 7 to j, which gives j = n + 36.\n4. Substitute n = z + 13 to j, which gives j = z + 49.\n5. Substitute z = m + 20 to j, which gives j = m + 69.\n6. Substitute m = 14 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 595,
"question": "Consider a system of variables where each variable is defined as follows: k = n + 7; z = m + 20; j = q + 10; q = b + 10; m = 14; a = w + 1; w = u + 8; b = k + 9; y = m + 15; t = l + 19; l = y + 15; u = t + 1; n = z + 13. If m = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 9", "j": "f + 12", "c": "j + 17", "a": "c + 3", "w": "a + 11", "g": "w + 13", "i": "o + 7", "l": "i + 16", "y": "l + 13", "z": "y + 4", "s": "z + 20", "v": "s + 8", "o": 12}, "premises": {"o": 12}, "target": "g"}, "answer": {"steps": [["f", "o + 9", 21], ["j", "f + 12", 33], ["c", "j + 17", 50], ["a", "c + 3", 53], ["w", "a + 11", 64], ["g", "w + 13", 77]], "target_var_name": "g", "target_value": 77, "value_dict": {"o": 12, "f": 21, "j": 33, "c": 50, "a": 53, "w": 64, "g": 77}, "is_reverse": false}} | 596 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 13; y = l + 13; f = o + 9; o = 12; w = a + 11; z = y + 4; v = s + 8; j = f + 12; i = o + 7; s = z + 20; l = i + 16; c = j + 17; a = c + 3. If o = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = o + 9, which gives f = 21.\n2. Compute j using j = f + 12, which gives j = 33.\n3. Compute c using c = j + 17, which gives c = 50.\n4. Compute a using a = c + 3, which gives a = 53.\n5. Compute w using w = a + 11, which gives w = 64.\n6. Compute g using g = w + 13, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 596,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 13; y = l + 13; f = o + 9; o = 12; w = a + 11; z = y + 4; v = s + 8; j = f + 12; i = o + 7; s = z + 20; l = i + 16; c = j + 17; a = c + 3. If o = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 15", "p": "v + 10", "x": "p + 12", "g": "x + 8", "r": "g + 11", "z": "r + 18", "q": "i + 2", "a": "q + 13", "s": "a + 11", "y": "s + 14", "m": "y + 9", "o": "m + 20", "i": 12}, "premises": {"i": 12}, "target": "z"}, "answer": {"steps": [["r", "g + 11", "g + 29"], ["g", "x + 8", "x + 37"], ["x", "p + 12", "p + 49"], ["p", "v + 10", "v + 59"], ["v", "i + 15", "i + 74"], ["i", 12, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"i": 12}, "is_reverse": true}} | 597 | 1 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 11; g = x + 8; o = m + 20; y = s + 14; p = v + 10; v = i + 15; m = y + 9; s = a + 11; i = 12; x = p + 12; z = r + 18; q = i + 2; a = q + 13. If i = 12, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 11 to z, which gives z = g + 29.\n2. Substitute g = x + 8 to z, which gives z = x + 37.\n3. Substitute x = p + 12 to z, which gives z = p + 49.\n4. Substitute p = v + 10 to z, which gives z = v + 59.\n5. Substitute v = i + 15 to z, which gives z = i + 74.\n6. Substitute i = 12 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 597,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 11; g = x + 8; o = m + 20; y = s + 14; p = v + 10; v = i + 15; m = y + 9; s = a + 11; i = 12; x = p + 12; z = r + 18; q = i + 2; a = q + 13. If i = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 10", "f": "v + 15", "k": "f + 19", "a": "k + 8", "t": "a + 17", "h": "t + 5", "w": "n + 14", "m": "w + 8", "e": "m + 5", "c": "e + 7", "q": "c + 9", "u": "q + 17", "n": 19}, "premises": {"n": 19}, "target": "h"}, "answer": {"steps": [["v", "n + 10", 29], ["f", "v + 15", 44], ["k", "f + 19", 63], ["a", "k + 8", 71], ["t", "a + 17", 88], ["h", "t + 5", 93]], "target_var_name": "h", "target_value": 93, "value_dict": {"n": 19, "v": 29, "f": 44, "k": 63, "a": 71, "t": 88, "h": 93}, "is_reverse": false}} | 598 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = q + 17; t = a + 17; k = f + 19; h = t + 5; w = n + 14; f = v + 15; v = n + 10; m = w + 8; c = e + 7; e = m + 5; q = c + 9; a = k + 8; n = 19. If n = 19, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = n + 10, which gives v = 29.\n2. Compute f using f = v + 15, which gives f = 44.\n3. Compute k using k = f + 19, which gives k = 63.\n4. Compute a using a = k + 8, which gives a = 71.\n5. Compute t using t = a + 17, which gives t = 88.\n6. Compute h using h = t + 5, which gives h = 93.\n\nThus, the final answer is h = \\boxed{93}.",
"index": 598,
"question": "Consider a system of variables where each variable is defined as follows: u = q + 17; t = a + 17; k = f + 19; h = t + 5; w = n + 14; f = v + 15; v = n + 10; m = w + 8; c = e + 7; e = m + 5; q = c + 9; a = k + 8; n = 19. If n = 19, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 8", "i": "e + 10", "l": "i + 14", "h": "l + 18", "y": "h + 18", "v": "y + 16", "g": "b + 11", "z": "g + 19", "p": "z + 18", "d": "p + 6", "c": "d + 6", "n": "c + 5", "b": 4}, "premises": {"b": 4}, "target": "v"}, "answer": {"steps": [["e", "b + 8", 12], ["i", "e + 10", 22], ["l", "i + 14", 36], ["h", "l + 18", 54], ["y", "h + 18", 72], ["v", "y + 16", 88]], "target_var_name": "v", "target_value": 88, "value_dict": {"b": 4, "e": 12, "i": 22, "l": 36, "h": 54, "y": 72, "v": 88}, "is_reverse": false}} | 599 | 0 | pathstar_2_7 | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = p + 6; h = l + 18; l = i + 14; y = h + 18; e = b + 8; g = b + 11; b = 4; v = y + 16; z = g + 19; c = d + 6; p = z + 18; i = e + 10; n = c + 5. If b = 4, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = b + 8, which gives e = 12.\n2. Compute i using i = e + 10, which gives i = 22.\n3. Compute l using l = i + 14, which gives l = 36.\n4. Compute h using h = l + 18, which gives h = 54.\n5. Compute y using y = h + 18, which gives y = 72.\n6. Compute v using v = y + 16, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 599,
"question": "Consider a system of variables where each variable is defined as follows: d = p + 6; h = l + 18; l = i + 14; y = h + 18; e = b + 8; g = b + 11; b = 4; v = y + 16; z = g + 19; c = d + 6; p = z + 18; i = e + 10; n = c + 5. If b = 4, determine the value of v.",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.