meta stringlengths 521 549 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1
value | data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"x": "j + 6", "p": "x + 14", "z": "p + 8", "m": "z + 1", "w": "m + 16", "n": "w + 19", "a": "j + 15", "l": "a + 2", "h": "l + 11", "c": "h + 1", "u": "c + 2", "b": "u + 12", "j": 5}, "premises": {"j": 5}, "target": "n"}, "answer": {"steps": [["x", "j + 6", 11], ["p", "x + 14", 25], ["z", "p + 8",... | 25,500 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 2; j = 5; u = c + 2; p = x + 14; n = w + 19; z = p + 8; m = z + 1; b = u + 12; w = m + 16; x = j + 6; a = j + 15; c = h + 1; h = l + 11. If j = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = j + 6, which gives x = 11.\n2. Compute p using p = x + 14, which gives p = 25.\n3. Compute z using z = p + 8, which gives z = 33.\n4. Compute m using m = z + 1, which gives m = 34.\n5. Compute w using w = m + 16, which... |
{"problem": {"rules": {"w": "s + 6", "q": "w + 2", "o": "q + 10", "e": "o + 8", "j": "e + 1", "a": "j + 8", "z": "s + 17", "n": "z + 13", "x": "n + 8", "l": "x + 2", "v": "l + 5", "r": "v + 6", "s": 12}, "premises": {"s": 12}, "target": "a"}, "answer": {"steps": [["w", "s + 6", 18], ["q", "w + 2", 20], ["o", "q + 10", ... | 25,501 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = o + 8; o = q + 10; n = z + 13; a = j + 8; j = e + 1; q = w + 2; z = s + 17; w = s + 6; v = l + 5; r = v + 6; l = x + 2; s = 12; x = n + 8. Given that s = 12, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = s + 6, which gives w = 18.\n2. Compute q using q = w + 2, which gives q = 20.\n3. Compute o using o = q + 10, which gives o = 30.\n4. Compute e using e = o + 8, which gives e = 38.\n5. Compute j using j = e + 1, which ... |
{"problem": {"rules": {"y": "x + 18", "c": "y + 16", "m": "c + 3", "j": "m + 2", "n": "j + 19", "b": "n + 7", "u": "x + 16", "r": "u + 5", "a": "r + 5", "d": "a + 17", "e": "d + 12", "t": "e + 17", "x": 10}, "premises": {"x": 10}, "target": "b"}, "answer": {"steps": [["y", "x + 18", 28], ["c", "y + 16", 44], ["m", "c +... | 25,502 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 3; n = j + 19; t = e + 17; u = x + 16; e = d + 12; j = m + 2; a = r + 5; b = n + 7; y = x + 18; r = u + 5; x = 10; d = a + 17; c = y + 16. Given that x = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = x + 18, which gives y = 28.\n2. Compute c using c = y + 16, which gives c = 44.\n3. Compute m using m = c + 3, which gives m = 47.\n4. Compute j using j = m + 2, which gives j = 49.\n5. Compute n using n = j + 19, whic... |
{"problem": {"rules": {"c": "t + 6", "z": "c + 1", "j": "z + 8", "v": "j + 9", "d": "v + 10", "p": "d + 2", "l": "t + 11", "r": "l + 4", "e": "r + 6", "h": "e + 14", "q": "h + 3", "a": "q + 5", "t": 18}, "premises": {"t": 18}, "target": "p"}, "answer": {"steps": [["c", "t + 6", 24], ["z", "c + 1", 25], ["j", "z + 8", 3... | 25,503 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = h + 3; h = e + 14; j = z + 8; d = v + 10; c = t + 6; r = l + 4; p = d + 2; e = r + 6; v = j + 9; z = c + 1; t = 18; l = t + 11; a = q + 5. If t = 18, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = t + 6, which gives c = 24.\n2. Compute z using z = c + 1, which gives z = 25.\n3. Compute j using j = z + 8, which gives j = 33.\n4. Compute v using v = j + 9, which gives v = 42.\n5. Compute d using d = v + 10, which ... |
{"problem": {"rules": {"f": "l + 1", "z": "f + 4", "t": "z + 3", "x": "t + 19", "v": "x + 12", "h": "v + 20", "k": "l + 13", "m": "k + 18", "p": "m + 6", "j": "p + 19", "o": "j + 4", "w": "o + 10", "l": 15}, "premises": {"l": 15}, "target": "h"}, "answer": {"steps": [["f", "l + 1", 16], ["z", "f + 4", 20], ["t", "z + 3... | 25,504 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = 15; t = z + 3; p = m + 6; h = v + 20; f = l + 1; o = j + 4; w = o + 10; m = k + 18; j = p + 19; z = f + 4; k = l + 13; v = x + 12; x = t + 19. Given that l = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = l + 1, which gives f = 16.\n2. Compute z using z = f + 4, which gives z = 20.\n3. Compute t using t = z + 3, which gives t = 23.\n4. Compute x using x = t + 19, which gives x = 42.\n5. Compute v using v = x + 12, which... |
{"problem": {"rules": {"t": "o + 5", "s": "t + 5", "f": "s + 19", "i": "f + 16", "r": "i + 19", "a": "r + 18", "u": "o + 11", "q": "u + 4", "d": "q + 8", "w": "d + 10", "n": "w + 3", "g": "n + 16", "o": 17}, "premises": {"o": 17}, "target": "a"}, "answer": {"steps": [["t", "o + 5", 22], ["s", "t + 5", 27], ["f", "s + 1... | 25,505 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 5; a = r + 18; i = f + 16; f = s + 19; o = 17; t = o + 5; w = d + 10; q = u + 4; d = q + 8; g = n + 16; r = i + 19; n = w + 3; u = o + 11. If o = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = o + 5, which gives t = 22.\n2. Compute s using s = t + 5, which gives s = 27.\n3. Compute f using f = s + 19, which gives f = 46.\n4. Compute i using i = f + 16, which gives i = 62.\n5. Compute r using r = i + 19, whic... |
{"problem": {"rules": {"s": "y + 13", "k": "s + 1", "e": "k + 12", "a": "e + 11", "p": "a + 3", "m": "p + 3", "o": "y + 16", "j": "o + 8", "c": "j + 15", "n": "c + 8", "h": "n + 12", "u": "h + 20", "y": 6}, "premises": {"y": 6}, "target": "m"}, "answer": {"steps": [["s", "y + 13", 19], ["k", "s + 1", 20], ["e", "k + 12... | 25,506 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = k + 12; k = s + 1; h = n + 12; u = h + 20; a = e + 11; o = y + 16; c = j + 15; s = y + 13; m = p + 3; y = 6; p = a + 3; n = c + 8; j = o + 8. If y = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = y + 13, which gives s = 19.\n2. Compute k using k = s + 1, which gives k = 20.\n3. Compute e using e = k + 12, which gives e = 32.\n4. Compute a using a = e + 11, which gives a = 43.\n5. Compute p using p = a + 3, whic... |
{"problem": {"rules": {"y": "v + 10", "o": "y + 3", "l": "o + 2", "b": "l + 1", "s": "b + 1", "j": "s + 20", "t": "v + 16", "f": "t + 18", "k": "f + 17", "e": "k + 1", "r": "e + 1", "p": "r + 6", "v": 12}, "premises": {"v": 12}, "target": "j"}, "answer": {"steps": [["y", "v + 10", 22], ["o", "y + 3", 25], ["l", "o + 2"... | 25,507 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = o + 2; j = s + 20; r = e + 1; f = t + 18; b = l + 1; o = y + 3; y = v + 10; t = v + 16; v = 12; p = r + 6; e = k + 1; s = b + 1; k = f + 17. If v = 12, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = v + 10, which gives y = 22.\n2. Compute o using o = y + 3, which gives o = 25.\n3. Compute l using l = o + 2, which gives l = 27.\n4. Compute b using b = l + 1, which gives b = 28.\n5. Compute s using s = b + 1, which ... |
{"problem": {"rules": {"p": "l + 16", "a": "p + 12", "f": "a + 17", "j": "f + 2", "n": "j + 10", "k": "n + 9", "i": "l + 16", "h": "i + 12", "g": "h + 2", "d": "g + 15", "x": "d + 4", "o": "x + 5", "l": 16}, "premises": {"l": 16}, "target": "k"}, "answer": {"steps": [["p", "l + 16", 32], ["a", "p + 12", 44], ["f", "a +... | 25,508 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 10; x = d + 4; a = p + 12; g = h + 2; o = x + 5; h = i + 12; i = l + 16; k = n + 9; d = g + 15; j = f + 2; f = a + 17; l = 16; p = l + 16. Given that l = 16, find the value of k.",
"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 = l + 16, which gives p = 32.\n2. Compute a using a = p + 12, which gives a = 44.\n3. Compute f using f = a + 17, which gives f = 61.\n4. Compute j using j = f + 2, which gives j = 63.\n5. Compute n using n = j + 10, whi... |
{"problem": {"rules": {"y": "g + 19", "a": "y + 7", "n": "a + 13", "j": "n + 11", "s": "j + 3", "v": "s + 9", "k": "g + 14", "d": "k + 9", "o": "d + 19", "f": "o + 2", "l": "f + 3", "r": "l + 20", "g": 10}, "premises": {"g": 10}, "target": "v"}, "answer": {"steps": [["y", "g + 19", 29], ["a", "y + 7", 36], ["n", "a + 1... | 25,509 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 19; f = o + 2; d = k + 9; l = f + 3; v = s + 9; k = g + 14; n = a + 13; s = j + 3; a = y + 7; o = d + 19; j = n + 11; g = 10; r = l + 20. If g = 10, determine 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 y using y = g + 19, which gives y = 29.\n2. Compute a using a = y + 7, which gives a = 36.\n3. Compute n using n = a + 13, which gives n = 49.\n4. Compute j using j = n + 11, which gives j = 60.\n5. Compute s using s = j + 3, whic... |
{"problem": {"rules": {"m": "l + 19", "h": "m + 17", "q": "h + 14", "z": "q + 19", "j": "z + 3", "e": "j + 1", "x": "l + 16", "s": "x + 20", "f": "s + 11", "w": "f + 12", "v": "w + 2", "d": "v + 4", "l": 18}, "premises": {"l": 18}, "target": "e"}, "answer": {"steps": [["m", "l + 19", 37], ["h", "m + 17", 54], ["q", "h ... | 25,510 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = f + 12; m = l + 19; h = m + 17; z = q + 19; v = w + 2; d = v + 4; j = z + 3; x = l + 16; f = s + 11; l = 18; e = j + 1; q = h + 14; s = x + 20. If l = 18, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = l + 19, which gives m = 37.\n2. Compute h using h = m + 17, which gives h = 54.\n3. Compute q using q = h + 14, which gives q = 68.\n4. Compute z using z = q + 19, which gives z = 87.\n5. Compute j using j = z + 3, whi... |
{"problem": {"rules": {"y": "x + 9", "o": "y + 3", "t": "o + 16", "k": "t + 20", "r": "k + 3", "d": "r + 18", "c": "x + 17", "s": "c + 14", "z": "s + 17", "i": "z + 8", "j": "i + 2", "w": "j + 1", "x": 9}, "premises": {"x": 9}, "target": "d"}, "answer": {"steps": [["y", "x + 9", 18], ["o", "y + 3", 21], ["t", "o + 16",... | 25,511 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 14; i = z + 8; z = s + 17; y = x + 9; x = 9; d = r + 18; w = j + 1; o = y + 3; c = x + 17; t = o + 16; k = t + 20; j = i + 2; r = k + 3. If x = 9, what is the resulting value of d?",
"role": "user"
... | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = x + 9, which gives y = 18.\n2. Compute o using o = y + 3, which gives o = 21.\n3. Compute t using t = o + 16, which gives t = 37.\n4. Compute k using k = t + 20, which gives k = 57.\n5. Compute r using r = k + 3, which... |
{"problem": {"rules": {"z": "k + 16", "o": "z + 7", "s": "o + 14", "h": "s + 15", "p": "h + 16", "f": "p + 1", "u": "k + 12", "a": "u + 10", "n": "a + 6", "t": "n + 9", "r": "t + 20", "b": "r + 16", "k": 11}, "premises": {"k": 11}, "target": "f"}, "answer": {"steps": [["z", "k + 16", 27], ["o", "z + 7", 34], ["s", "o +... | 25,512 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 11; f = p + 1; t = n + 9; a = u + 10; o = z + 7; b = r + 16; u = k + 12; p = h + 16; s = o + 14; z = k + 16; h = s + 15; n = a + 6; r = t + 20. Given that k = 11, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = k + 16, which gives z = 27.\n2. Compute o using o = z + 7, which gives o = 34.\n3. Compute s using s = o + 14, which gives s = 48.\n4. Compute h using h = s + 15, which gives h = 63.\n5. Compute p using p = h + 16, whi... |
{"problem": {"rules": {"s": "w + 11", "i": "s + 6", "m": "i + 2", "a": "m + 5", "z": "a + 1", "t": "z + 7", "n": "w + 15", "j": "n + 13", "b": "j + 14", "o": "b + 15", "e": "o + 8", "l": "e + 15", "w": 19}, "premises": {"w": 19}, "target": "t"}, "answer": {"steps": [["s", "w + 11", 30], ["i", "s + 6", 36], ["m", "i + 2... | 25,513 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 15; s = w + 11; m = i + 2; i = s + 6; l = e + 15; a = m + 5; e = o + 8; j = n + 13; z = a + 1; t = z + 7; b = j + 14; w = 19; o = b + 15. If w = 19, what is the resulting value of t?",
"role": "user... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = w + 11, which gives s = 30.\n2. Compute i using i = s + 6, which gives i = 36.\n3. Compute m using m = i + 2, which gives m = 38.\n4. Compute a using a = m + 5, which gives a = 43.\n5. Compute z using z = a + 1, which ... |
{"problem": {"rules": {"p": "o + 1", "e": "p + 19", "g": "e + 13", "f": "g + 11", "x": "f + 5", "u": "x + 13", "j": "o + 6", "w": "j + 1", "n": "w + 10", "v": "n + 16", "q": "v + 5", "m": "q + 8", "o": 14}, "premises": {"o": 14}, "target": "u"}, "answer": {"steps": [["p", "o + 1", 15], ["e", "p + 19", 34], ["g", "e + 1... | 25,514 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = o + 1; e = p + 19; w = j + 1; j = o + 6; f = g + 11; m = q + 8; q = v + 5; g = e + 13; u = x + 13; x = f + 5; o = 14; v = n + 16; n = w + 10. If o = 14, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = o + 1, which gives p = 15.\n2. Compute e using e = p + 19, which gives e = 34.\n3. Compute g using g = e + 13, which gives g = 47.\n4. Compute f using f = g + 11, which gives f = 58.\n5. Compute x using x = f + 5, whic... |
{"problem": {"rules": {"d": "t + 10", "e": "d + 15", "g": "e + 17", "x": "g + 9", "f": "x + 19", "z": "f + 19", "u": "t + 2", "q": "u + 1", "h": "q + 11", "i": "h + 12", "l": "i + 10", "a": "l + 18", "t": 14}, "premises": {"t": 14}, "target": "z"}, "answer": {"steps": [["d", "t + 10", 24], ["e", "d + 15", 39], ["g", "e... | 25,515 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = u + 1; g = e + 17; e = d + 15; a = l + 18; u = t + 2; t = 14; h = q + 11; i = h + 12; l = i + 10; z = f + 19; d = t + 10; x = g + 9; f = x + 19. If t = 14, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = t + 10, which gives d = 24.\n2. Compute e using e = d + 15, which gives e = 39.\n3. Compute g using g = e + 17, which gives g = 56.\n4. Compute x using x = g + 9, which gives x = 65.\n5. Compute f using f = x + 19, whi... |
{"problem": {"rules": {"j": "k + 20", "i": "j + 19", "b": "i + 5", "u": "b + 6", "o": "u + 2", "d": "o + 12", "n": "k + 12", "f": "n + 9", "h": "f + 2", "w": "h + 17", "x": "w + 3", "t": "x + 9", "k": 19}, "premises": {"k": 19}, "target": "d"}, "answer": {"steps": [["j", "k + 20", 39], ["i", "j + 19", 58], ["b", "i + 5... | 25,516 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 2; j = k + 20; i = j + 19; u = b + 6; f = n + 9; k = 19; d = o + 12; x = w + 3; n = k + 12; b = i + 5; t = x + 9; w = h + 17; h = f + 2. If k = 19, what is the resulting value of d?",
"role": "user"... | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = k + 20, which gives j = 39.\n2. Compute i using i = j + 19, which gives i = 58.\n3. Compute b using b = i + 5, which gives b = 63.\n4. Compute u using u = b + 6, which gives u = 69.\n5. Compute o using o = u + 2, which... |
{"problem": {"rules": {"z": "n + 6", "h": "z + 5", "c": "h + 15", "k": "c + 15", "q": "k + 5", "b": "q + 20", "f": "n + 4", "x": "f + 12", "l": "x + 6", "a": "l + 4", "u": "a + 10", "s": "u + 17", "n": 16}, "premises": {"n": 16}, "target": "b"}, "answer": {"steps": [["z", "n + 6", 22], ["h", "z + 5", 27], ["c", "h + 15... | 25,517 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 12; s = u + 17; f = n + 4; n = 16; u = a + 10; h = z + 5; z = n + 6; q = k + 5; l = x + 6; c = h + 15; b = q + 20; a = l + 4; k = c + 15. Given that n = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = n + 6, which gives z = 22.\n2. Compute h using h = z + 5, which gives h = 27.\n3. Compute c using c = h + 15, which gives c = 42.\n4. Compute k using k = c + 15, which gives k = 57.\n5. Compute q using q = k + 5, which... |
{"problem": {"rules": {"v": "m + 19", "k": "v + 10", "d": "k + 17", "c": "d + 13", "s": "c + 3", "w": "s + 18", "f": "m + 11", "e": "f + 19", "j": "e + 20", "b": "j + 6", "o": "b + 20", "q": "o + 20", "m": 13}, "premises": {"m": 13}, "target": "w"}, "answer": {"steps": [["v", "m + 19", 32], ["k", "v + 10", 42], ["d", "... | 25,518 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = f + 19; o = b + 20; j = e + 20; v = m + 19; d = k + 17; c = d + 13; f = m + 11; b = j + 6; m = 13; q = o + 20; k = v + 10; s = c + 3; w = s + 18. If m = 13, determine the value of w.",
"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 = m + 19, which gives v = 32.\n2. Compute k using k = v + 10, which gives k = 42.\n3. Compute d using d = k + 17, which gives d = 59.\n4. Compute c using c = d + 13, which gives c = 72.\n5. Compute s using s = c + 3, whi... |
{"problem": {"rules": {"a": "i + 11", "v": "a + 19", "q": "v + 20", "t": "q + 7", "g": "t + 16", "j": "g + 9", "m": "i + 4", "l": "m + 1", "r": "l + 6", "w": "r + 5", "k": "w + 10", "n": "k + 6", "i": 1}, "premises": {"i": 1}, "target": "j"}, "answer": {"steps": [["a", "i + 11", 12], ["v", "a + 19", 31], ["q", "v + 20"... | 25,519 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = m + 1; k = w + 10; m = i + 4; r = l + 6; n = k + 6; v = a + 19; j = g + 9; q = v + 20; i = 1; g = t + 16; w = r + 5; t = q + 7; a = i + 11. If i = 1, 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. Compute a using a = i + 11, which gives a = 12.\n2. Compute v using v = a + 19, which gives v = 31.\n3. Compute q using q = v + 20, which gives q = 51.\n4. Compute t using t = q + 7, which gives t = 58.\n5. Compute g using g = t + 16, whi... |
{"problem": {"rules": {"n": "u + 9", "s": "n + 10", "a": "s + 14", "h": "a + 12", "w": "h + 15", "b": "w + 6", "d": "u + 20", "i": "d + 2", "c": "i + 20", "k": "c + 6", "m": "k + 10", "j": "m + 5", "u": 4}, "premises": {"u": 4}, "target": "b"}, "answer": {"steps": [["n", "u + 9", 13], ["s", "n + 10", 23], ["a", "s + 14... | 25,520 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = s + 14; s = n + 10; j = m + 5; h = a + 12; n = u + 9; u = 4; c = i + 20; i = d + 2; w = h + 15; b = w + 6; k = c + 6; d = u + 20; m = k + 10. If u = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = u + 9, which gives n = 13.\n2. Compute s using s = n + 10, which gives s = 23.\n3. Compute a using a = s + 14, which gives a = 37.\n4. Compute h using h = a + 12, which gives h = 49.\n5. Compute w using w = h + 15, whi... |
{"problem": {"rules": {"a": "g + 5", "y": "a + 11", "x": "y + 6", "m": "x + 5", "i": "m + 14", "o": "i + 4", "r": "g + 8", "u": "r + 20", "p": "u + 14", "k": "p + 7", "q": "k + 12", "s": "q + 11", "g": 14}, "premises": {"g": 14}, "target": "o"}, "answer": {"steps": [["a", "g + 5", 19], ["y", "a + 11", 30], ["x", "y + 6... | 25,521 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = r + 20; y = a + 11; x = y + 6; o = i + 4; s = q + 11; g = 14; i = m + 14; k = p + 7; a = g + 5; q = k + 12; r = g + 8; p = u + 14; m = x + 5. Given that g = 14, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = g + 5, which gives a = 19.\n2. Compute y using y = a + 11, which gives y = 30.\n3. Compute x using x = y + 6, which gives x = 36.\n4. Compute m using m = x + 5, which gives m = 41.\n5. Compute i using i = m + 14, which... |
{"problem": {"rules": {"j": "u + 2", "g": "j + 3", "b": "g + 19", "m": "b + 11", "r": "m + 8", "v": "r + 13", "l": "u + 5", "c": "l + 11", "q": "c + 2", "z": "q + 8", "h": "z + 4", "d": "h + 20", "u": 11}, "premises": {"u": 11}, "target": "v"}, "answer": {"steps": [["j", "u + 2", 13], ["g", "j + 3", 16], ["b", "g + 19"... | 25,522 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 8; l = u + 5; u = 11; j = u + 2; q = c + 2; b = g + 19; d = h + 20; h = z + 4; m = b + 11; c = l + 11; g = j + 3; r = m + 8; v = r + 13. If u = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = u + 2, which gives j = 13.\n2. Compute g using g = j + 3, which gives g = 16.\n3. Compute b using b = g + 19, which gives b = 35.\n4. Compute m using m = b + 11, which gives m = 46.\n5. Compute r using r = m + 8, which... |
{"problem": {"rules": {"x": "j + 10", "g": "x + 3", "p": "g + 7", "o": "p + 13", "z": "o + 6", "b": "z + 2", "m": "j + 13", "a": "m + 11", "l": "a + 12", "t": "l + 9", "w": "t + 8", "i": "w + 10", "j": 17}, "premises": {"j": 17}, "target": "b"}, "answer": {"steps": [["x", "j + 10", 27], ["g", "x + 3", 30], ["p", "g + 7... | 25,523 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 9; a = m + 11; m = j + 13; g = x + 3; p = g + 7; b = z + 2; w = t + 8; l = a + 12; z = o + 6; j = 17; x = j + 10; o = p + 13; i = w + 10. If j = 17, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = j + 10, which gives x = 27.\n2. Compute g using g = x + 3, which gives g = 30.\n3. Compute p using p = g + 7, which gives p = 37.\n4. Compute o using o = p + 13, which gives o = 50.\n5. Compute z using z = o + 6, which... |
{"problem": {"rules": {"b": "w + 16", "u": "b + 16", "f": "u + 11", "m": "f + 11", "t": "m + 10", "q": "t + 6", "o": "w + 2", "l": "o + 1", "n": "l + 8", "x": "n + 19", "a": "x + 20", "e": "a + 11", "w": 13}, "premises": {"w": 13}, "target": "q"}, "answer": {"steps": [["b", "w + 16", 29], ["u", "b + 16", 45], ["f", "u ... | 25,524 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = b + 16; q = t + 6; l = o + 1; x = n + 19; w = 13; o = w + 2; f = u + 11; b = w + 16; a = x + 20; m = f + 11; n = l + 8; t = m + 10; e = a + 11. If w = 13, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = w + 16, which gives b = 29.\n2. Compute u using u = b + 16, which gives u = 45.\n3. Compute f using f = u + 11, which gives f = 56.\n4. Compute m using m = f + 11, which gives m = 67.\n5. Compute t using t = m + 10, wh... |
{"problem": {"rules": {"x": "j + 9", "h": "x + 2", "f": "h + 8", "u": "f + 1", "c": "u + 15", "b": "c + 6", "q": "j + 6", "a": "q + 12", "w": "a + 8", "r": "w + 3", "s": "r + 9", "p": "s + 6", "j": 8}, "premises": {"j": 8}, "target": "b"}, "answer": {"steps": [["x", "j + 9", 17], ["h", "x + 2", 19], ["f", "h + 8", 27],... | 25,525 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = u + 15; p = s + 6; u = f + 1; h = x + 2; s = r + 9; b = c + 6; r = w + 3; f = h + 8; j = 8; x = j + 9; w = a + 8; a = q + 12; q = j + 6. If j = 8, what is the resulting value of b?",
"role": "user"
}
... | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = j + 9, which gives x = 17.\n2. Compute h using h = x + 2, which gives h = 19.\n3. Compute f using f = h + 8, which gives f = 27.\n4. Compute u using u = f + 1, which gives u = 28.\n5. Compute c using c = u + 15, which ... |
{"problem": {"rules": {"s": "l + 5", "k": "s + 5", "c": "k + 7", "r": "c + 16", "e": "r + 20", "z": "e + 3", "x": "l + 9", "w": "x + 11", "i": "w + 4", "f": "i + 8", "y": "f + 3", "u": "y + 8", "l": 6}, "premises": {"l": 6}, "target": "z"}, "answer": {"steps": [["s", "l + 5", 11], ["k", "s + 5", 16], ["c", "k + 7", 23]... | 25,526 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = i + 8; w = x + 11; c = k + 7; x = l + 9; y = f + 3; z = e + 3; u = y + 8; e = r + 20; l = 6; i = w + 4; s = l + 5; k = s + 5; r = c + 16. If l = 6, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = l + 5, which gives s = 11.\n2. Compute k using k = s + 5, which gives k = 16.\n3. Compute c using c = k + 7, which gives c = 23.\n4. Compute r using r = c + 16, which gives r = 39.\n5. Compute e using e = r + 20, which... |
{"problem": {"rules": {"v": "h + 6", "a": "v + 16", "x": "a + 2", "t": "x + 19", "w": "t + 2", "r": "w + 2", "g": "h + 9", "b": "g + 20", "c": "b + 15", "m": "c + 14", "s": "m + 14", "e": "s + 14", "h": 14}, "premises": {"h": 14}, "target": "r"}, "answer": {"steps": [["v", "h + 6", 20], ["a", "v + 16", 36], ["x", "a + ... | 25,527 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 2; b = g + 20; t = x + 19; g = h + 9; x = a + 2; m = c + 14; e = s + 14; r = w + 2; s = m + 14; h = 14; a = v + 16; v = h + 6; c = b + 15. Given that h = 14, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = h + 6, which gives v = 20.\n2. Compute a using a = v + 16, which gives a = 36.\n3. Compute x using x = a + 2, which gives x = 38.\n4. Compute t using t = x + 19, which gives t = 57.\n5. Compute w using w = t + 2, which... |
{"problem": {"rules": {"k": "p + 18", "z": "k + 10", "e": "z + 4", "i": "e + 19", "h": "i + 15", "q": "h + 9", "c": "p + 8", "j": "c + 14", "s": "j + 13", "r": "s + 5", "w": "r + 10", "o": "w + 17", "p": 2}, "premises": {"p": 2}, "target": "q"}, "answer": {"steps": [["k", "p + 18", 20], ["z", "k + 10", 30], ["e", "z + ... | 25,528 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 2; o = w + 17; h = i + 15; z = k + 10; i = e + 19; e = z + 4; q = h + 9; j = c + 14; s = j + 13; c = p + 8; r = s + 5; w = r + 10; k = p + 18. Given that p = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = p + 18, which gives k = 20.\n2. Compute z using z = k + 10, which gives z = 30.\n3. Compute e using e = z + 4, which gives e = 34.\n4. Compute i using i = e + 19, which gives i = 53.\n5. Compute h using h = i + 15, whi... |
{"problem": {"rules": {"w": "x + 1", "t": "w + 16", "a": "t + 8", "k": "a + 6", "u": "k + 6", "s": "u + 10", "l": "x + 5", "c": "l + 14", "j": "c + 10", "n": "j + 13", "r": "n + 9", "p": "r + 6", "x": 3}, "premises": {"x": 3}, "target": "s"}, "answer": {"steps": [["w", "x + 1", 4], ["t", "w + 16", 20], ["a", "t + 8", 2... | 25,529 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 10; j = c + 10; n = j + 13; l = x + 5; c = l + 14; w = x + 1; k = a + 6; a = t + 8; x = 3; r = n + 9; p = r + 6; u = k + 6; t = w + 16. If x = 3, what is the resulting value of s?",
"role": "user"
... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = x + 1, which gives w = 4.\n2. Compute t using t = w + 16, which gives t = 20.\n3. Compute a using a = t + 8, which gives a = 28.\n4. Compute k using k = a + 6, which gives k = 34.\n5. Compute u using u = k + 6, which g... |
{"problem": {"rules": {"g": "o + 15", "m": "g + 7", "a": "m + 6", "s": "a + 18", "v": "s + 16", "q": "v + 17", "d": "o + 16", "i": "d + 8", "t": "i + 3", "n": "t + 3", "c": "n + 19", "e": "c + 18", "o": 14}, "premises": {"o": 14}, "target": "q"}, "answer": {"steps": [["g", "o + 15", 29], ["m", "g + 7", 36], ["a", "m + ... | 25,530 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 17; c = n + 19; s = a + 18; e = c + 18; n = t + 3; i = d + 8; v = s + 16; d = o + 16; m = g + 7; o = 14; a = m + 6; t = i + 3; g = o + 15. Given that o = 14, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 15, which gives g = 29.\n2. Compute m using m = g + 7, which gives m = 36.\n3. Compute a using a = m + 6, which gives a = 42.\n4. Compute s using s = a + 18, which gives s = 60.\n5. Compute v using v = s + 16, whic... |
{"problem": {"rules": {"m": "v + 2", "a": "m + 15", "n": "a + 8", "z": "n + 14", "s": "z + 16", "j": "s + 10", "x": "v + 2", "c": "x + 15", "i": "c + 12", "g": "i + 10", "b": "g + 16", "r": "b + 8", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["m", "v + 2", 4], ["a", "m + 15", 19], ["n", "a + 8"... | 25,531 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = a + 8; v = 2; r = b + 8; i = c + 12; z = n + 14; m = v + 2; a = m + 15; g = i + 10; x = v + 2; s = z + 16; c = x + 15; b = g + 16; j = s + 10. If v = 2, 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 m using m = v + 2, which gives m = 4.\n2. Compute a using a = m + 15, which gives a = 19.\n3. Compute n using n = a + 8, which gives n = 27.\n4. Compute z using z = n + 14, which gives z = 41.\n5. Compute s using s = z + 16, which... |
{"problem": {"rules": {"e": "k + 5", "m": "e + 3", "r": "m + 1", "a": "r + 5", "n": "a + 1", "j": "n + 8", "i": "k + 19", "v": "i + 13", "l": "v + 18", "y": "l + 14", "o": "y + 20", "p": "o + 16", "k": 20}, "premises": {"k": 20}, "target": "j"}, "answer": {"steps": [["e", "k + 5", 25], ["m", "e + 3", 28], ["r", "m + 1"... | 25,532 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 1; e = k + 5; k = 20; y = l + 14; a = r + 5; o = y + 20; l = v + 18; j = n + 8; n = a + 1; p = o + 16; v = i + 13; i = k + 19; m = e + 3. If k = 20, what is the resulting value of j?",
"role": "user... | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = k + 5, which gives e = 25.\n2. Compute m using m = e + 3, which gives m = 28.\n3. Compute r using r = m + 1, which gives r = 29.\n4. Compute a using a = r + 5, which gives a = 34.\n5. Compute n using n = a + 1, which g... |
{"problem": {"rules": {"f": "j + 7", "o": "f + 16", "b": "o + 17", "r": "b + 17", "v": "r + 9", "q": "v + 5", "h": "j + 13", "k": "h + 16", "p": "k + 7", "l": "p + 7", "s": "l + 8", "g": "s + 16", "j": 9}, "premises": {"j": 9}, "target": "q"}, "answer": {"steps": [["f", "j + 7", 16], ["o", "f + 16", 32], ["b", "o + 17"... | 25,533 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 16; v = r + 9; l = p + 7; q = v + 5; o = f + 16; r = b + 17; h = j + 13; b = o + 17; s = l + 8; f = j + 7; g = s + 16; j = 9; p = k + 7. If j = 9, what is the resulting value of q?",
"role": "user"
... | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = j + 7, which gives f = 16.\n2. Compute o using o = f + 16, which gives o = 32.\n3. Compute b using b = o + 17, which gives b = 49.\n4. Compute r using r = b + 17, which gives r = 66.\n5. Compute v using v = r + 9, whic... |
{"problem": {"rules": {"k": "z + 12", "x": "k + 20", "u": "x + 20", "n": "u + 9", "v": "n + 18", "r": "v + 15", "g": "z + 13", "e": "g + 15", "i": "e + 15", "c": "i + 14", "s": "c + 17", "b": "s + 8", "z": 4}, "premises": {"z": 4}, "target": "r"}, "answer": {"steps": [["k", "z + 12", 16], ["x", "k + 20", 36], ["u", "x ... | 25,534 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 18; x = k + 20; e = g + 15; s = c + 17; b = s + 8; c = i + 14; g = z + 13; n = u + 9; z = 4; u = x + 20; i = e + 15; r = v + 15; k = z + 12. If z = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = z + 12, which gives k = 16.\n2. Compute x using x = k + 20, which gives x = 36.\n3. Compute u using u = x + 20, which gives u = 56.\n4. Compute n using n = u + 9, which gives n = 65.\n5. Compute v using v = n + 18, whi... |
{"problem": {"rules": {"u": "g + 11", "y": "u + 6", "p": "y + 12", "e": "p + 3", "s": "e + 17", "r": "s + 3", "m": "g + 16", "q": "m + 15", "x": "q + 11", "h": "x + 19", "z": "h + 12", "n": "z + 3", "g": 2}, "premises": {"g": 2}, "target": "r"}, "answer": {"steps": [["u", "g + 11", 13], ["y", "u + 6", 19], ["p", "y + 1... | 25,535 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = s + 3; x = q + 11; n = z + 3; h = x + 19; u = g + 11; z = h + 12; p = y + 12; y = u + 6; g = 2; q = m + 15; s = e + 17; e = p + 3; m = g + 16. If g = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = g + 11, which gives u = 13.\n2. Compute y using y = u + 6, which gives y = 19.\n3. Compute p using p = y + 12, which gives p = 31.\n4. Compute e using e = p + 3, which gives e = 34.\n5. Compute s using s = e + 17, whic... |
{"problem": {"rules": {"m": "g + 8", "a": "m + 8", "y": "a + 3", "i": "y + 6", "h": "i + 7", "r": "h + 6", "q": "g + 11", "o": "q + 8", "d": "o + 12", "s": "d + 1", "j": "s + 19", "t": "j + 3", "g": 12}, "premises": {"g": 12}, "target": "r"}, "answer": {"steps": [["m", "g + 8", 20], ["a", "m + 8", 28], ["y", "a + 3", 3... | 25,536 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 8; h = i + 7; j = s + 19; t = j + 3; a = m + 8; g = 12; i = y + 6; s = d + 1; r = h + 6; q = g + 11; m = g + 8; d = o + 12; y = a + 3. If g = 12, what is the resulting value of r?",
"role": "user"
... | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = g + 8, which gives m = 20.\n2. Compute a using a = m + 8, which gives a = 28.\n3. Compute y using y = a + 3, which gives y = 31.\n4. Compute i using i = y + 6, which gives i = 37.\n5. Compute h using h = i + 7, which g... |
{"problem": {"rules": {"q": "v + 12", "m": "q + 14", "e": "m + 15", "k": "e + 4", "w": "k + 12", "z": "w + 3", "l": "v + 18", "d": "l + 8", "o": "d + 19", "h": "o + 17", "u": "h + 13", "f": "u + 2", "v": 4}, "premises": {"v": 4}, "target": "z"}, "answer": {"steps": [["q", "v + 12", 16], ["m", "q + 14", 30], ["e", "m + ... | 25,537 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 4; d = l + 8; u = h + 13; z = w + 3; q = v + 12; v = 4; e = m + 15; o = d + 19; m = q + 14; l = v + 18; f = u + 2; h = o + 17; w = k + 12. If v = 4, what is the resulting value of z?",
"role": "user... | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = v + 12, which gives q = 16.\n2. Compute m using m = q + 14, which gives m = 30.\n3. Compute e using e = m + 15, which gives e = 45.\n4. Compute k using k = e + 4, which gives k = 49.\n5. Compute w using w = k + 12, whi... |
{"problem": {"rules": {"y": "p + 15", "n": "y + 11", "a": "n + 10", "k": "a + 17", "d": "k + 14", "c": "d + 6", "q": "p + 8", "z": "q + 15", "x": "z + 15", "e": "x + 3", "s": "e + 7", "t": "s + 20", "p": 19}, "premises": {"p": 19}, "target": "c"}, "answer": {"steps": [["y", "p + 15", 34], ["n", "y + 11", 45], ["a", "n ... | 25,538 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = d + 6; s = e + 7; q = p + 8; t = s + 20; y = p + 15; n = y + 11; a = n + 10; x = z + 15; z = q + 15; e = x + 3; d = k + 14; k = a + 17; p = 19. If p = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = p + 15, which gives y = 34.\n2. Compute n using n = y + 11, which gives n = 45.\n3. Compute a using a = n + 10, which gives a = 55.\n4. Compute k using k = a + 17, which gives k = 72.\n5. Compute d using d = k + 14, wh... |
{"problem": {"rules": {"l": "t + 18", "f": "l + 16", "k": "f + 16", "j": "k + 4", "z": "j + 10", "g": "z + 3", "y": "t + 15", "x": "y + 20", "e": "x + 11", "p": "e + 1", "n": "p + 3", "u": "n + 18", "t": 2}, "premises": {"t": 2}, "target": "g"}, "answer": {"steps": [["l", "t + 18", 20], ["f", "l + 16", 36], ["k", "f + ... | 25,539 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = x + 11; l = t + 18; n = p + 3; j = k + 4; f = l + 16; y = t + 15; z = j + 10; u = n + 18; g = z + 3; x = y + 20; t = 2; p = e + 1; k = f + 16. If t = 2, what is the resulting value of g?",
"role": "user... | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = t + 18, which gives l = 20.\n2. Compute f using f = l + 16, which gives f = 36.\n3. Compute k using k = f + 16, which gives k = 52.\n4. Compute j using j = k + 4, which gives j = 56.\n5. Compute z using z = j + 10, whi... |
{"problem": {"rules": {"q": "h + 9", "o": "q + 20", "p": "o + 6", "f": "p + 7", "e": "f + 2", "s": "e + 7", "g": "h + 9", "k": "g + 20", "j": "k + 9", "b": "j + 2", "i": "b + 18", "d": "i + 18", "h": 14}, "premises": {"h": 14}, "target": "s"}, "answer": {"steps": [["q", "h + 9", 23], ["o", "q + 20", 43], ["p", "o + 6",... | 25,540 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 20; g = h + 9; p = o + 6; s = e + 7; h = 14; k = g + 20; d = i + 18; i = b + 18; b = j + 2; q = h + 9; e = f + 2; f = p + 7; j = k + 9. If h = 14, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = h + 9, which gives q = 23.\n2. Compute o using o = q + 20, which gives o = 43.\n3. Compute p using p = o + 6, which gives p = 49.\n4. Compute f using f = p + 7, which gives f = 56.\n5. Compute e using e = f + 2, which ... |
{"problem": {"rules": {"n": "i + 5", "j": "n + 8", "c": "j + 9", "v": "c + 20", "y": "v + 7", "o": "y + 16", "p": "i + 4", "u": "p + 18", "k": "u + 18", "f": "k + 8", "e": "f + 13", "t": "e + 19", "i": 9}, "premises": {"i": 9}, "target": "o"}, "answer": {"steps": [["n", "i + 5", 14], ["j", "n + 8", 22], ["c", "j + 9", ... | 25,541 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = c + 20; f = k + 8; u = p + 18; i = 9; k = u + 18; j = n + 8; n = i + 5; e = f + 13; c = j + 9; p = i + 4; o = y + 16; t = e + 19; y = v + 7. If i = 9, what is the resulting value of o?",
"role": "user"
... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = i + 5, which gives n = 14.\n2. Compute j using j = n + 8, which gives j = 22.\n3. Compute c using c = j + 9, which gives c = 31.\n4. Compute v using v = c + 20, which gives v = 51.\n5. Compute y using y = v + 7, which ... |
{"problem": {"rules": {"m": "q + 19", "o": "m + 6", "i": "o + 15", "c": "i + 1", "n": "c + 2", "l": "n + 10", "x": "q + 3", "f": "x + 12", "t": "f + 1", "u": "t + 9", "d": "u + 1", "v": "d + 11", "q": 6}, "premises": {"q": 6}, "target": "l"}, "answer": {"steps": [["m", "q + 19", 25], ["o", "m + 6", 31], ["i", "o + 15",... | 25,542 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 1; i = o + 15; x = q + 3; u = t + 9; v = d + 11; f = x + 12; o = m + 6; q = 6; c = i + 1; n = c + 2; m = q + 19; d = u + 1; l = n + 10. If q = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = q + 19, which gives m = 25.\n2. Compute o using o = m + 6, which gives o = 31.\n3. Compute i using i = o + 15, which gives i = 46.\n4. Compute c using c = i + 1, which gives c = 47.\n5. Compute n using n = c + 2, which... |
{"problem": {"rules": {"r": "q + 9", "u": "r + 15", "i": "u + 18", "g": "i + 18", "f": "g + 12", "n": "f + 7", "t": "q + 9", "a": "t + 13", "o": "a + 10", "m": "o + 14", "h": "m + 4", "v": "h + 6", "q": 5}, "premises": {"q": 5}, "target": "n"}, "answer": {"steps": [["r", "q + 9", 14], ["u", "r + 15", 29], ["i", "u + 18... | 25,543 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = q + 9; f = g + 12; t = q + 9; v = h + 6; u = r + 15; i = u + 18; q = 5; a = t + 13; g = i + 18; h = m + 4; n = f + 7; o = a + 10; m = o + 14. Given that q = 5, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = q + 9, which gives r = 14.\n2. Compute u using u = r + 15, which gives u = 29.\n3. Compute i using i = u + 18, which gives i = 47.\n4. Compute g using g = i + 18, which gives g = 65.\n5. Compute f using f = g + 12, whi... |
{"problem": {"rules": {"y": "b + 8", "u": "y + 19", "s": "u + 8", "q": "s + 16", "w": "q + 12", "j": "w + 18", "e": "b + 17", "z": "e + 18", "a": "z + 2", "d": "a + 7", "n": "d + 6", "t": "n + 7", "b": 8}, "premises": {"b": 8}, "target": "j"}, "answer": {"steps": [["y", "b + 8", 16], ["u", "y + 19", 35], ["s", "u + 8",... | 25,544 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 12; s = u + 8; d = a + 7; n = d + 6; u = y + 19; t = n + 7; z = e + 18; y = b + 8; j = w + 18; b = 8; e = b + 17; a = z + 2; q = s + 16. If b = 8, what is the resulting value of j?",
"role": "user"
... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = b + 8, which gives y = 16.\n2. Compute u using u = y + 19, which gives u = 35.\n3. Compute s using s = u + 8, which gives s = 43.\n4. Compute q using q = s + 16, which gives q = 59.\n5. Compute w using w = q + 12, whic... |
{"problem": {"rules": {"g": "x + 13", "c": "g + 20", "i": "c + 19", "q": "i + 20", "h": "q + 16", "z": "h + 2", "k": "x + 20", "p": "k + 5", "m": "p + 6", "j": "m + 15", "u": "j + 17", "r": "u + 1", "x": 11}, "premises": {"x": 11}, "target": "z"}, "answer": {"steps": [["g", "x + 13", 24], ["c", "g + 20", 44], ["i", "c ... | 25,545 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 2; p = k + 5; h = q + 16; c = g + 20; x = 11; j = m + 15; q = i + 20; m = p + 6; i = c + 19; k = x + 20; g = x + 13; r = u + 1; u = j + 17. If x = 11, what is the resulting value of z?",
"role": "us... | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = x + 13, which gives g = 24.\n2. Compute c using c = g + 20, which gives c = 44.\n3. Compute i using i = c + 19, which gives i = 63.\n4. Compute q using q = i + 20, which gives q = 83.\n5. Compute h using h = q + 16, wh... |
{"problem": {"rules": {"z": "w + 14", "c": "z + 1", "j": "c + 2", "s": "j + 11", "a": "s + 13", "v": "a + 1", "g": "w + 3", "p": "g + 17", "e": "p + 7", "h": "e + 19", "i": "h + 14", "t": "i + 2", "w": 20}, "premises": {"w": 20}, "target": "v"}, "answer": {"steps": [["z", "w + 14", 34], ["c", "z + 1", 35], ["j", "c + 2... | 25,546 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = j + 11; z = w + 14; p = g + 17; j = c + 2; h = e + 19; t = i + 2; i = h + 14; g = w + 3; e = p + 7; c = z + 1; a = s + 13; w = 20; v = a + 1. Given that w = 20, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = w + 14, which gives z = 34.\n2. Compute c using c = z + 1, which gives c = 35.\n3. Compute j using j = c + 2, which gives j = 37.\n4. Compute s using s = j + 11, which gives s = 48.\n5. Compute a using a = s + 13, whic... |
{"problem": {"rules": {"g": "o + 3", "m": "g + 11", "z": "m + 2", "v": "z + 12", "y": "v + 8", "w": "y + 4", "s": "o + 10", "a": "s + 5", "h": "a + 2", "d": "h + 4", "i": "d + 11", "l": "i + 14", "o": 5}, "premises": {"o": 5}, "target": "w"}, "answer": {"steps": [["g", "o + 3", 8], ["m", "g + 11", 19], ["z", "m + 2", 2... | 25,547 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = o + 3; m = g + 11; z = m + 2; v = z + 12; i = d + 11; w = y + 4; s = o + 10; d = h + 4; h = a + 2; y = v + 8; o = 5; a = s + 5; l = i + 14. If o = 5, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 3, which gives g = 8.\n2. Compute m using m = g + 11, which gives m = 19.\n3. Compute z using z = m + 2, which gives z = 21.\n4. Compute v using v = z + 12, which gives v = 33.\n5. Compute y using y = v + 8, which ... |
{"problem": {"rules": {"x": "t + 10", "p": "x + 20", "y": "p + 16", "j": "y + 7", "z": "j + 15", "f": "z + 2", "v": "t + 10", "e": "v + 9", "w": "e + 17", "s": "w + 10", "n": "s + 10", "r": "n + 1", "t": 8}, "premises": {"t": 8}, "target": "f"}, "answer": {"steps": [["x", "t + 10", 18], ["p", "x + 20", 38], ["y", "p + ... | 25,548 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = y + 7; x = t + 10; f = z + 2; w = e + 17; v = t + 10; t = 8; y = p + 16; p = x + 20; n = s + 10; e = v + 9; r = n + 1; s = w + 10; z = j + 15. Given that t = 8, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = t + 10, which gives x = 18.\n2. Compute p using p = x + 20, which gives p = 38.\n3. Compute y using y = p + 16, which gives y = 54.\n4. Compute j using j = y + 7, which gives j = 61.\n5. Compute z using z = j + 15, whi... |
{"problem": {"rules": {"p": "e + 6", "l": "p + 8", "v": "l + 19", "r": "v + 7", "k": "r + 19", "u": "k + 14", "z": "e + 16", "h": "z + 13", "n": "h + 5", "f": "n + 14", "q": "f + 19", "o": "q + 16", "e": 10}, "premises": {"e": 10}, "target": "u"}, "answer": {"steps": [["p", "e + 6", 16], ["l", "p + 8", 24], ["v", "l + ... | 25,549 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 6; z = e + 16; e = 10; o = q + 16; r = v + 7; n = h + 5; q = f + 19; h = z + 13; u = k + 14; f = n + 14; v = l + 19; k = r + 19; l = p + 8. If e = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = e + 6, which gives p = 16.\n2. Compute l using l = p + 8, which gives l = 24.\n3. Compute v using v = l + 19, which gives v = 43.\n4. Compute r using r = v + 7, which gives r = 50.\n5. Compute k using k = r + 19, which... |
{"problem": {"rules": {"h": "g + 6", "m": "h + 20", "y": "m + 9", "v": "y + 18", "s": "v + 16", "w": "s + 4", "u": "g + 1", "r": "u + 8", "o": "r + 5", "t": "o + 3", "k": "t + 8", "z": "k + 13", "g": 4}, "premises": {"g": 4}, "target": "w"}, "answer": {"steps": [["h", "g + 6", 10], ["m", "h + 20", 30], ["y", "m + 9", 3... | 25,550 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 5; h = g + 6; z = k + 13; k = t + 8; w = s + 4; s = v + 16; g = 4; u = g + 1; t = o + 3; y = m + 9; v = y + 18; r = u + 8; m = h + 20. Given that g = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = g + 6, which gives h = 10.\n2. Compute m using m = h + 20, which gives m = 30.\n3. Compute y using y = m + 9, which gives y = 39.\n4. Compute v using v = y + 18, which gives v = 57.\n5. Compute s using s = v + 16, whic... |
{"problem": {"rules": {"i": "m + 19", "v": "i + 1", "e": "v + 12", "q": "e + 19", "t": "q + 18", "l": "t + 11", "h": "m + 6", "f": "h + 17", "j": "f + 6", "u": "j + 2", "p": "u + 2", "a": "p + 19", "m": 12}, "premises": {"m": 12}, "target": "l"}, "answer": {"steps": [["i", "m + 19", 31], ["v", "i + 1", 32], ["e", "v + ... | 25,551 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 19; e = v + 12; j = f + 6; u = j + 2; v = i + 1; l = t + 11; q = e + 19; p = u + 2; i = m + 19; h = m + 6; m = 12; t = q + 18; f = h + 17. If m = 12, what is the resulting value of l?",
"role": "use... | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = m + 19, which gives i = 31.\n2. Compute v using v = i + 1, which gives v = 32.\n3. Compute e using e = v + 12, which gives e = 44.\n4. Compute q using q = e + 19, which gives q = 63.\n5. Compute t using t = q + 18, whi... |
{"problem": {"rules": {"w": "v + 18", "c": "w + 17", "s": "c + 15", "n": "s + 12", "j": "n + 14", "h": "j + 9", "k": "v + 1", "p": "k + 17", "x": "p + 6", "a": "x + 20", "e": "a + 1", "o": "e + 15", "v": 15}, "premises": {"v": 15}, "target": "h"}, "answer": {"steps": [["w", "v + 18", 33], ["c", "w + 17", 50], ["s", "c ... | 25,552 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = v + 1; c = w + 17; x = p + 6; p = k + 17; n = s + 12; h = j + 9; o = e + 15; v = 15; j = n + 14; s = c + 15; a = x + 20; e = a + 1; w = v + 18. If v = 15, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = v + 18, which gives w = 33.\n2. Compute c using c = w + 17, which gives c = 50.\n3. Compute s using s = c + 15, which gives s = 65.\n4. Compute n using n = s + 12, which gives n = 77.\n5. Compute j using j = n + 14, wh... |
{"problem": {"rules": {"z": "p + 14", "i": "z + 5", "t": "i + 3", "y": "t + 15", "f": "y + 3", "n": "f + 2", "u": "p + 18", "b": "u + 7", "r": "b + 6", "q": "r + 5", "j": "q + 19", "l": "j + 7", "p": 11}, "premises": {"p": 11}, "target": "n"}, "answer": {"steps": [["z", "p + 14", 25], ["i", "z + 5", 30], ["t", "i + 3",... | 25,553 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 11; y = t + 15; r = b + 6; f = y + 3; n = f + 2; t = i + 3; q = r + 5; u = p + 18; j = q + 19; i = z + 5; l = j + 7; b = u + 7; z = p + 14. If p = 11, what is the resulting value of n?",
"role": "user"
... | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = p + 14, which gives z = 25.\n2. Compute i using i = z + 5, which gives i = 30.\n3. Compute t using t = i + 3, which gives t = 33.\n4. Compute y using y = t + 15, which gives y = 48.\n5. Compute f using f = y + 3, which... |
{"problem": {"rules": {"i": "m + 19", "t": "i + 14", "a": "t + 12", "e": "a + 18", "q": "e + 7", "n": "q + 11", "w": "m + 20", "f": "w + 1", "g": "f + 20", "h": "g + 7", "r": "h + 18", "d": "r + 5", "m": 20}, "premises": {"m": 20}, "target": "n"}, "answer": {"steps": [["i", "m + 19", 39], ["t", "i + 14", 53], ["a", "t ... | 25,554 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 19; e = a + 18; r = h + 18; h = g + 7; m = 20; w = m + 20; f = w + 1; t = i + 14; a = t + 12; g = f + 20; n = q + 11; q = e + 7; d = r + 5. If m = 20, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = m + 19, which gives i = 39.\n2. Compute t using t = i + 14, which gives t = 53.\n3. Compute a using a = t + 12, which gives a = 65.\n4. Compute e using e = a + 18, which gives e = 83.\n5. Compute q using q = e + 7, whi... |
{"problem": {"rules": {"l": "f + 11", "e": "l + 15", "u": "e + 16", "x": "u + 15", "p": "x + 18", "j": "p + 13", "s": "f + 20", "i": "s + 14", "q": "i + 4", "m": "q + 15", "w": "m + 7", "n": "w + 6", "f": 20}, "premises": {"f": 20}, "target": "j"}, "answer": {"steps": [["l", "f + 11", 31], ["e", "l + 15", 46], ["u", "e... | 25,555 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 15; j = p + 13; p = x + 18; s = f + 20; n = w + 6; u = e + 16; f = 20; q = i + 4; e = l + 15; w = m + 7; i = s + 14; m = q + 15; l = f + 11. Given that f = 20, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = f + 11, which gives l = 31.\n2. Compute e using e = l + 15, which gives e = 46.\n3. Compute u using u = e + 16, which gives u = 62.\n4. Compute x using x = u + 15, which gives x = 77.\n5. Compute p using p = x + 18, wh... |
{"problem": {"rules": {"l": "v + 20", "t": "l + 12", "w": "t + 11", "x": "w + 17", "b": "x + 14", "i": "b + 5", "a": "v + 7", "f": "a + 20", "r": "f + 20", "m": "r + 8", "o": "m + 4", "n": "o + 18", "v": 20}, "premises": {"v": 20}, "target": "i"}, "answer": {"steps": [["l", "v + 20", 40], ["t", "l + 12", 52], ["w", "t ... | 25,556 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 8; l = v + 20; b = x + 14; n = o + 18; w = t + 11; x = w + 17; i = b + 5; v = 20; r = f + 20; t = l + 12; f = a + 20; a = v + 7; o = m + 4. If v = 20, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = v + 20, which gives l = 40.\n2. Compute t using t = l + 12, which gives t = 52.\n3. Compute w using w = t + 11, which gives w = 63.\n4. Compute x using x = w + 17, which gives x = 80.\n5. Compute b using b = x + 14, wh... |
{"problem": {"rules": {"h": "x + 3", "r": "h + 16", "k": "r + 5", "g": "k + 19", "d": "g + 15", "f": "d + 19", "p": "x + 11", "b": "p + 18", "i": "b + 19", "v": "i + 2", "y": "v + 17", "a": "y + 14", "x": 12}, "premises": {"x": 12}, "target": "f"}, "answer": {"steps": [["h", "x + 3", 15], ["r", "h + 16", 31], ["k", "r ... | 25,557 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = g + 15; r = h + 16; h = x + 3; i = b + 19; v = i + 2; a = y + 14; f = d + 19; b = p + 18; k = r + 5; x = 12; y = v + 17; g = k + 19; p = x + 11. If x = 12, determine 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. Compute h using h = x + 3, which gives h = 15.\n2. Compute r using r = h + 16, which gives r = 31.\n3. Compute k using k = r + 5, which gives k = 36.\n4. Compute g using g = k + 19, which gives g = 55.\n5. Compute d using d = g + 15, whic... |
{"problem": {"rules": {"h": "l + 17", "b": "h + 16", "a": "b + 13", "g": "a + 20", "j": "g + 13", "t": "j + 13", "u": "l + 9", "r": "u + 2", "y": "r + 12", "z": "y + 7", "d": "z + 7", "k": "d + 8", "l": 17}, "premises": {"l": 17}, "target": "t"}, "answer": {"steps": [["h", "l + 17", 34], ["b", "h + 16", 50], ["a", "b +... | 25,558 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 12; r = u + 2; b = h + 16; k = d + 8; l = 17; t = j + 13; h = l + 17; u = l + 9; g = a + 20; z = y + 7; d = z + 7; j = g + 13; a = b + 13. Given that l = 17, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = l + 17, which gives h = 34.\n2. Compute b using b = h + 16, which gives b = 50.\n3. Compute a using a = b + 13, which gives a = 63.\n4. Compute g using g = a + 20, which gives g = 83.\n5. Compute j using j = g + 13, wh... |
{"problem": {"rules": {"t": "d + 2", "a": "t + 7", "h": "a + 17", "s": "h + 14", "u": "s + 16", "y": "u + 16", "p": "d + 16", "o": "p + 2", "l": "o + 19", "x": "l + 4", "z": "x + 5", "b": "z + 12", "d": 17}, "premises": {"d": 17}, "target": "y"}, "answer": {"steps": [["t", "d + 2", 19], ["a", "t + 7", 26], ["h", "a + 1... | 25,559 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = x + 5; x = l + 4; p = d + 16; u = s + 16; a = t + 7; h = a + 17; l = o + 19; s = h + 14; o = p + 2; d = 17; t = d + 2; b = z + 12; y = u + 16. If d = 17, what is the resulting value of y?",
"role": "use... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute t using t = d + 2, which gives t = 19.\n2. Compute a using a = t + 7, which gives a = 26.\n3. Compute h using h = a + 17, which gives h = 43.\n4. Compute s using s = h + 14, which gives s = 57.\n5. Compute u using u = s + 16, whic... |
{"problem": {"rules": {"d": "y + 12", "x": "d + 18", "a": "x + 13", "k": "a + 12", "u": "k + 20", "w": "u + 4", "t": "y + 17", "j": "t + 9", "b": "j + 9", "o": "b + 12", "r": "o + 8", "m": "r + 15", "y": 16}, "premises": {"y": 16}, "target": "w"}, "answer": {"steps": [["d", "y + 12", 28], ["x", "d + 18", 46], ["a", "x ... | 25,560 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = d + 18; o = b + 12; d = y + 12; t = y + 17; w = u + 4; b = j + 9; a = x + 13; u = k + 20; y = 16; j = t + 9; r = o + 8; k = a + 12; m = r + 15. Given that y = 16, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = y + 12, which gives d = 28.\n2. Compute x using x = d + 18, which gives x = 46.\n3. Compute a using a = x + 13, which gives a = 59.\n4. Compute k using k = a + 12, which gives k = 71.\n5. Compute u using u = k + 20, wh... |
{"problem": {"rules": {"y": "s + 18", "q": "y + 20", "g": "q + 13", "k": "g + 18", "n": "k + 1", "w": "n + 2", "j": "s + 13", "f": "j + 1", "x": "f + 1", "e": "x + 4", "v": "e + 2", "r": "v + 6", "s": 14}, "premises": {"s": 14}, "target": "w"}, "answer": {"steps": [["y", "s + 18", 32], ["q", "y + 20", 52], ["g", "q + 1... | 25,561 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 4; r = v + 6; y = s + 18; k = g + 18; v = e + 2; x = f + 1; q = y + 20; s = 14; w = n + 2; f = j + 1; j = s + 13; g = q + 13; n = k + 1. If s = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = s + 18, which gives y = 32.\n2. Compute q using q = y + 20, which gives q = 52.\n3. Compute g using g = q + 13, which gives g = 65.\n4. Compute k using k = g + 18, which gives k = 83.\n5. Compute n using n = k + 1, whi... |
{"problem": {"rules": {"s": "u + 4", "o": "s + 9", "b": "o + 18", "h": "b + 8", "n": "h + 12", "j": "n + 10", "y": "u + 7", "z": "y + 7", "e": "z + 2", "r": "e + 2", "v": "r + 8", "t": "v + 2", "u": 6}, "premises": {"u": 6}, "target": "j"}, "answer": {"steps": [["s", "u + 4", 10], ["o", "s + 9", 19], ["b", "o + 18", 37... | 25,562 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 18; j = n + 10; z = y + 7; r = e + 2; s = u + 4; o = s + 9; h = b + 8; n = h + 12; t = v + 2; u = 6; v = r + 8; e = z + 2; y = u + 7. Given that u = 6, find the 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 s using s = u + 4, which gives s = 10.\n2. Compute o using o = s + 9, which gives o = 19.\n3. Compute b using b = o + 18, which gives b = 37.\n4. Compute h using h = b + 8, which gives h = 45.\n5. Compute n using n = h + 12, which... |
{"problem": {"rules": {"g": "q + 16", "p": "g + 9", "d": "p + 8", "m": "d + 7", "x": "m + 11", "y": "x + 1", "s": "q + 16", "e": "s + 12", "v": "e + 9", "i": "v + 15", "o": "i + 7", "b": "o + 7", "q": 2}, "premises": {"q": 2}, "target": "y"}, "answer": {"steps": [["g", "q + 16", 18], ["p", "g + 9", 27], ["d", "p + 8", ... | 25,563 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = x + 1; o = i + 7; g = q + 16; d = p + 8; q = 2; e = s + 12; m = d + 7; p = g + 9; v = e + 9; b = o + 7; s = q + 16; i = v + 15; x = m + 11. Given that q = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = q + 16, which gives g = 18.\n2. Compute p using p = g + 9, which gives p = 27.\n3. Compute d using d = p + 8, which gives d = 35.\n4. Compute m using m = d + 7, which gives m = 42.\n5. Compute x using x = m + 11, which... |
{"problem": {"rules": {"w": "g + 13", "l": "w + 9", "y": "l + 3", "e": "y + 12", "x": "e + 12", "p": "x + 9", "j": "g + 13", "o": "j + 13", "h": "o + 16", "r": "h + 7", "q": "r + 19", "u": "q + 1", "g": 8}, "premises": {"g": 8}, "target": "p"}, "answer": {"steps": [["w", "g + 13", 21], ["l", "w + 9", 30], ["y", "l + 3"... | 25,564 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = g + 13; y = l + 3; o = j + 13; r = h + 7; x = e + 12; h = o + 16; l = w + 9; q = r + 19; j = g + 13; e = y + 12; g = 8; u = q + 1; p = x + 9. If g = 8, what is the resulting value of p?",
"role": "user"... | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = g + 13, which gives w = 21.\n2. Compute l using l = w + 9, which gives l = 30.\n3. Compute y using y = l + 3, which gives y = 33.\n4. Compute e using e = y + 12, which gives e = 45.\n5. Compute x using x = e + 12, whic... |
{"problem": {"rules": {"s": "p + 8", "d": "s + 16", "f": "d + 15", "a": "f + 7", "k": "a + 9", "b": "k + 7", "l": "p + 20", "q": "l + 7", "n": "q + 14", "v": "n + 11", "m": "v + 9", "y": "m + 2", "p": 16}, "premises": {"p": 16}, "target": "b"}, "answer": {"steps": [["s", "p + 8", 24], ["d", "s + 16", 40], ["f", "d + 15... | 25,565 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 7; y = m + 2; d = s + 16; q = l + 7; f = d + 15; v = n + 11; n = q + 14; k = a + 9; p = 16; s = p + 8; m = v + 9; a = f + 7; l = p + 20. If p = 16, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = p + 8, which gives s = 24.\n2. Compute d using d = s + 16, which gives d = 40.\n3. Compute f using f = d + 15, which gives f = 55.\n4. Compute a using a = f + 7, which gives a = 62.\n5. Compute k using k = a + 9, which... |
{"problem": {"rules": {"a": "f + 12", "j": "a + 18", "y": "j + 8", "o": "y + 13", "k": "o + 3", "g": "k + 19", "s": "f + 6", "t": "s + 10", "v": "t + 10", "p": "v + 6", "u": "p + 7", "d": "u + 18", "f": 2}, "premises": {"f": 2}, "target": "g"}, "answer": {"steps": [["a", "f + 12", 14], ["j", "a + 18", 32], ["y", "j + 8... | 25,566 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 10; j = a + 18; u = p + 7; y = j + 8; t = s + 10; k = o + 3; o = y + 13; s = f + 6; p = v + 6; f = 2; d = u + 18; g = k + 19; a = f + 12. If f = 2, what is the resulting value of g?",
"role": "user"... | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = f + 12, which gives a = 14.\n2. Compute j using j = a + 18, which gives j = 32.\n3. Compute y using y = j + 8, which gives y = 40.\n4. Compute o using o = y + 13, which gives o = 53.\n5. Compute k using k = o + 3, whic... |
{"problem": {"rules": {"q": "g + 17", "z": "q + 2", "t": "z + 7", "b": "t + 2", "a": "b + 12", "u": "a + 9", "s": "g + 11", "d": "s + 9", "r": "d + 7", "i": "r + 10", "c": "i + 8", "j": "c + 16", "g": 6}, "premises": {"g": 6}, "target": "u"}, "answer": {"steps": [["q", "g + 17", 23], ["z", "q + 2", 25], ["t", "z + 7", ... | 25,567 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = z + 7; a = b + 12; i = r + 10; g = 6; r = d + 7; b = t + 2; q = g + 17; s = g + 11; c = i + 8; z = q + 2; u = a + 9; d = s + 9; j = c + 16. Given that g = 6, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = g + 17, which gives q = 23.\n2. Compute z using z = q + 2, which gives z = 25.\n3. Compute t using t = z + 7, which gives t = 32.\n4. Compute b using b = t + 2, which gives b = 34.\n5. Compute a using a = b + 12, which... |
{"problem": {"rules": {"k": "e + 9", "q": "k + 10", "x": "q + 14", "r": "x + 16", "c": "r + 4", "o": "c + 5", "s": "e + 9", "p": "s + 17", "b": "p + 17", "h": "b + 17", "y": "h + 9", "t": "y + 2", "e": 2}, "premises": {"e": 2}, "target": "o"}, "answer": {"steps": [["k", "e + 9", 11], ["q", "k + 10", 21], ["x", "q + 14"... | 25,568 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 2; e = 2; y = h + 9; h = b + 17; s = e + 9; x = q + 14; r = x + 16; q = k + 10; k = e + 9; o = c + 5; b = p + 17; c = r + 4; p = s + 17. Given that e = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = e + 9, which gives k = 11.\n2. Compute q using q = k + 10, which gives q = 21.\n3. Compute x using x = q + 14, which gives x = 35.\n4. Compute r using r = x + 16, which gives r = 51.\n5. Compute c using c = r + 4, whic... |
{"problem": {"rules": {"u": "x + 17", "n": "u + 20", "m": "n + 13", "r": "m + 13", "l": "r + 2", "q": "l + 6", "s": "x + 8", "b": "s + 2", "t": "b + 11", "d": "t + 8", "j": "d + 7", "w": "j + 14", "x": 14}, "premises": {"x": 14}, "target": "q"}, "answer": {"steps": [["u", "x + 17", 31], ["n", "u + 20", 51], ["m", "n + ... | 25,569 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 13; d = t + 8; b = s + 2; u = x + 17; t = b + 11; m = n + 13; s = x + 8; w = j + 14; n = u + 20; q = l + 6; j = d + 7; x = 14; l = r + 2. If x = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = x + 17, which gives u = 31.\n2. Compute n using n = u + 20, which gives n = 51.\n3. Compute m using m = n + 13, which gives m = 64.\n4. Compute r using r = m + 13, which gives r = 77.\n5. Compute l using l = r + 2, whi... |
{"problem": {"rules": {"k": "r + 1", "w": "k + 14", "x": "w + 8", "b": "x + 16", "n": "b + 8", "m": "n + 9", "v": "r + 1", "e": "v + 7", "o": "e + 11", "s": "o + 15", "g": "s + 18", "t": "g + 19", "r": 12}, "premises": {"r": 12}, "target": "m"}, "answer": {"steps": [["k", "r + 1", 13], ["w", "k + 14", 27], ["x", "w + 8... | 25,570 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = r + 1; g = s + 18; o = e + 11; b = x + 16; s = o + 15; t = g + 19; k = r + 1; e = v + 7; n = b + 8; w = k + 14; x = w + 8; r = 12; m = n + 9. If r = 12, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = r + 1, which gives k = 13.\n2. Compute w using w = k + 14, which gives w = 27.\n3. Compute x using x = w + 8, which gives x = 35.\n4. Compute b using b = x + 16, which gives b = 51.\n5. Compute n using n = b + 8, which... |
{"problem": {"rules": {"l": "y + 2", "i": "l + 17", "o": "i + 2", "r": "o + 6", "n": "r + 20", "m": "n + 9", "g": "y + 12", "f": "g + 5", "k": "f + 11", "e": "k + 15", "h": "e + 10", "a": "h + 14", "y": 1}, "premises": {"y": 1}, "target": "m"}, "answer": {"steps": [["l", "y + 2", 3], ["i", "l + 17", 20], ["o", "i + 2",... | 25,571 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 12; a = h + 14; n = r + 20; h = e + 10; k = f + 11; r = o + 6; y = 1; e = k + 15; i = l + 17; f = g + 5; l = y + 2; o = i + 2; m = n + 9. Given that y = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = y + 2, which gives l = 3.\n2. Compute i using i = l + 17, which gives i = 20.\n3. Compute o using o = i + 2, which gives o = 22.\n4. Compute r using r = o + 6, which gives r = 28.\n5. Compute n using n = r + 20, which ... |
{"problem": {"rules": {"z": "l + 5", "f": "z + 15", "o": "f + 18", "c": "o + 1", "y": "c + 19", "r": "y + 5", "w": "l + 14", "b": "w + 12", "q": "b + 2", "e": "q + 2", "m": "e + 20", "t": "m + 16", "l": 18}, "premises": {"l": 18}, "target": "r"}, "answer": {"steps": [["z", "l + 5", 23], ["f", "z + 15", 38], ["o", "f + ... | 25,572 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 2; m = e + 20; b = w + 12; z = l + 5; f = z + 15; t = m + 16; e = q + 2; l = 18; w = l + 14; o = f + 18; r = y + 5; y = c + 19; c = o + 1. If l = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = l + 5, which gives z = 23.\n2. Compute f using f = z + 15, which gives f = 38.\n3. Compute o using o = f + 18, which gives o = 56.\n4. Compute c using c = o + 1, which gives c = 57.\n5. Compute y using y = c + 19, whic... |
{"problem": {"rules": {"x": "u + 10", "k": "x + 5", "i": "k + 7", "m": "i + 20", "s": "m + 13", "p": "s + 10", "c": "u + 17", "n": "c + 6", "e": "n + 6", "l": "e + 2", "o": "l + 2", "h": "o + 9", "u": 6}, "premises": {"u": 6}, "target": "p"}, "answer": {"steps": [["x", "u + 10", 16], ["k", "x + 5", 21], ["i", "k + 7", ... | 25,573 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 13; k = x + 5; l = e + 2; e = n + 6; h = o + 9; m = i + 20; p = s + 10; i = k + 7; n = c + 6; o = l + 2; u = 6; x = u + 10; c = u + 17. Given that u = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = u + 10, which gives x = 16.\n2. Compute k using k = x + 5, which gives k = 21.\n3. Compute i using i = k + 7, which gives i = 28.\n4. Compute m using m = i + 20, which gives m = 48.\n5. Compute s using s = m + 13, whic... |
{"problem": {"rules": {"s": "p + 16", "b": "s + 15", "a": "b + 18", "t": "a + 1", "c": "t + 8", "u": "c + 8", "g": "p + 13", "o": "g + 4", "z": "o + 5", "n": "z + 4", "i": "n + 2", "m": "i + 9", "p": 4}, "premises": {"p": 4}, "target": "u"}, "answer": {"steps": [["s", "p + 16", 20], ["b", "s + 15", 35], ["a", "b + 18",... | 25,574 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = z + 4; p = 4; b = s + 15; g = p + 13; a = b + 18; m = i + 9; u = c + 8; c = t + 8; z = o + 5; o = g + 4; t = a + 1; s = p + 16; i = n + 2. Given that p = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = p + 16, which gives s = 20.\n2. Compute b using b = s + 15, which gives b = 35.\n3. Compute a using a = b + 18, which gives a = 53.\n4. Compute t using t = a + 1, which gives t = 54.\n5. Compute c using c = t + 8, whic... |
{"problem": {"rules": {"l": "t + 18", "s": "l + 19", "p": "s + 10", "a": "p + 7", "v": "a + 2", "x": "v + 15", "m": "t + 1", "q": "m + 11", "r": "q + 14", "z": "r + 9", "k": "z + 5", "i": "k + 11", "t": 18}, "premises": {"t": 18}, "target": "x"}, "answer": {"steps": [["l", "t + 18", 36], ["s", "l + 19", 55], ["p", "s +... | 25,575 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = q + 14; k = z + 5; i = k + 11; v = a + 2; t = 18; s = l + 19; a = p + 7; x = v + 15; z = r + 9; q = m + 11; l = t + 18; m = t + 1; p = s + 10. If t = 18, what is the resulting value of x?",
"role": "use... | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = t + 18, which gives l = 36.\n2. Compute s using s = l + 19, which gives s = 55.\n3. Compute p using p = s + 10, which gives p = 65.\n4. Compute a using a = p + 7, which gives a = 72.\n5. Compute v using v = a + 2, whic... |
{"problem": {"rules": {"l": "r + 18", "f": "l + 7", "c": "f + 19", "g": "c + 4", "k": "g + 20", "v": "k + 1", "a": "r + 19", "z": "a + 19", "y": "z + 18", "d": "y + 9", "o": "d + 13", "x": "o + 20", "r": 18}, "premises": {"r": 18}, "target": "v"}, "answer": {"steps": [["l", "r + 18", 36], ["f", "l + 7", 43], ["c", "f +... | 25,576 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 9; z = a + 19; y = z + 18; k = g + 20; f = l + 7; a = r + 19; x = o + 20; r = 18; c = f + 19; v = k + 1; l = r + 18; o = d + 13; g = c + 4. Given that r = 18, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = r + 18, which gives l = 36.\n2. Compute f using f = l + 7, which gives f = 43.\n3. Compute c using c = f + 19, which gives c = 62.\n4. Compute g using g = c + 4, which gives g = 66.\n5. Compute k using k = g + 20, whic... |
{"problem": {"rules": {"u": "t + 6", "d": "u + 15", "v": "d + 19", "f": "v + 17", "l": "f + 14", "g": "l + 12", "p": "t + 13", "e": "p + 15", "i": "e + 1", "n": "i + 9", "b": "n + 10", "s": "b + 16", "t": 17}, "premises": {"t": 17}, "target": "g"}, "answer": {"steps": [["u", "t + 6", 23], ["d", "u + 15", 38], ["v", "d ... | 25,577 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 14; u = t + 6; p = t + 13; f = v + 17; i = e + 1; s = b + 16; v = d + 19; n = i + 9; d = u + 15; t = 17; e = p + 15; g = l + 12; b = n + 10. If t = 17, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = t + 6, which gives u = 23.\n2. Compute d using d = u + 15, which gives d = 38.\n3. Compute v using v = d + 19, which gives v = 57.\n4. Compute f using f = v + 17, which gives f = 74.\n5. Compute l using l = f + 14, whi... |
{"problem": {"rules": {"b": "g + 9", "a": "b + 13", "v": "a + 20", "e": "v + 7", "i": "e + 17", "l": "i + 16", "o": "g + 2", "k": "o + 3", "d": "k + 13", "x": "d + 5", "z": "x + 20", "q": "z + 17", "g": 1}, "premises": {"g": 1}, "target": "l"}, "answer": {"steps": [["b", "g + 9", 10], ["a", "b + 13", 23], ["v", "a + 20... | 25,578 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 5; q = z + 17; d = k + 13; k = o + 3; o = g + 2; e = v + 7; a = b + 13; i = e + 17; b = g + 9; z = x + 20; v = a + 20; l = i + 16; g = 1. If g = 1, determine 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 b using b = g + 9, which gives b = 10.\n2. Compute a using a = b + 13, which gives a = 23.\n3. Compute v using v = a + 20, which gives v = 43.\n4. Compute e using e = v + 7, which gives e = 50.\n5. Compute i using i = e + 17, whic... |
{"problem": {"rules": {"v": "z + 9", "w": "v + 17", "e": "w + 11", "b": "e + 2", "y": "b + 12", "r": "y + 19", "o": "z + 5", "n": "o + 8", "s": "n + 14", "q": "s + 11", "k": "q + 17", "d": "k + 11", "z": 13}, "premises": {"z": 13}, "target": "r"}, "answer": {"steps": [["v", "z + 9", 22], ["w", "v + 17", 39], ["e", "w +... | 25,579 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 9; o = z + 5; d = k + 11; r = y + 19; q = s + 11; k = q + 17; n = o + 8; s = n + 14; z = 13; y = b + 12; e = w + 11; b = e + 2; w = v + 17. If z = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = z + 9, which gives v = 22.\n2. Compute w using w = v + 17, which gives w = 39.\n3. Compute e using e = w + 11, which gives e = 50.\n4. Compute b using b = e + 2, which gives b = 52.\n5. Compute y using y = b + 12, whic... |
{"problem": {"rules": {"j": "f + 10", "z": "j + 4", "s": "z + 3", "d": "s + 14", "l": "d + 11", "w": "l + 6", "v": "f + 13", "k": "v + 4", "u": "k + 12", "e": "u + 4", "p": "e + 9", "h": "p + 5", "f": 3}, "premises": {"f": 3}, "target": "w"}, "answer": {"steps": [["j", "f + 10", 13], ["z", "j + 4", 17], ["s", "z + 3", ... | 25,580 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = p + 5; s = z + 3; e = u + 4; j = f + 10; d = s + 14; p = e + 9; z = j + 4; l = d + 11; f = 3; w = l + 6; u = k + 12; v = f + 13; k = v + 4. If f = 3, what is the resulting value of w?",
"role": "user"
... | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = f + 10, which gives j = 13.\n2. Compute z using z = j + 4, which gives z = 17.\n3. Compute s using s = z + 3, which gives s = 20.\n4. Compute d using d = s + 14, which gives d = 34.\n5. Compute l using l = d + 11, whic... |
{"problem": {"rules": {"j": "i + 9", "v": "j + 7", "z": "v + 10", "a": "z + 9", "d": "a + 5", "p": "d + 20", "n": "i + 3", "f": "n + 6", "y": "f + 14", "e": "y + 15", "o": "e + 14", "h": "o + 2", "i": 14}, "premises": {"i": 14}, "target": "p"}, "answer": {"steps": [["j", "i + 9", 23], ["v", "j + 7", 30], ["z", "v + 10"... | 25,581 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = i + 9; f = n + 6; d = a + 5; v = j + 7; h = o + 2; i = 14; a = z + 9; z = v + 10; e = y + 15; o = e + 14; p = d + 20; y = f + 14; n = i + 3. If i = 14, what is the resulting value of p?",
"role": "user"... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = i + 9, which gives j = 23.\n2. Compute v using v = j + 7, which gives v = 30.\n3. Compute z using z = v + 10, which gives z = 40.\n4. Compute a using a = z + 9, which gives a = 49.\n5. Compute d using d = a + 5, which ... |
{"problem": {"rules": {"j": "o + 16", "h": "j + 5", "n": "h + 20", "k": "n + 16", "v": "k + 4", "p": "v + 8", "b": "o + 5", "t": "b + 14", "a": "t + 5", "q": "a + 15", "u": "q + 15", "d": "u + 14", "o": 4}, "premises": {"o": 4}, "target": "p"}, "answer": {"steps": [["j", "o + 16", 20], ["h", "j + 5", 25], ["n", "h + 20... | 25,582 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 8; b = o + 5; u = q + 15; a = t + 5; q = a + 15; v = k + 4; j = o + 16; t = b + 14; o = 4; n = h + 20; h = j + 5; d = u + 14; k = n + 16. If o = 4, what is the resulting 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 j using j = o + 16, which gives j = 20.\n2. Compute h using h = j + 5, which gives h = 25.\n3. Compute n using n = h + 20, which gives n = 45.\n4. Compute k using k = n + 16, which gives k = 61.\n5. Compute v using v = k + 4, whic... |
{"problem": {"rules": {"k": "m + 15", "v": "k + 9", "z": "v + 2", "n": "z + 15", "q": "n + 19", "r": "q + 13", "w": "m + 6", "p": "w + 17", "g": "p + 4", "s": "g + 12", "y": "s + 18", "h": "y + 20", "m": 17}, "premises": {"m": 17}, "target": "r"}, "answer": {"steps": [["k", "m + 15", 32], ["v", "k + 9", 41], ["z", "v +... | 25,583 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = q + 13; m = 17; y = s + 18; g = p + 4; s = g + 12; p = w + 17; n = z + 15; k = m + 15; h = y + 20; q = n + 19; w = m + 6; v = k + 9; z = v + 2. If m = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = m + 15, which gives k = 32.\n2. Compute v using v = k + 9, which gives v = 41.\n3. Compute z using z = v + 2, which gives z = 43.\n4. Compute n using n = z + 15, which gives n = 58.\n5. Compute q using q = n + 19, whic... |
{"problem": {"rules": {"h": "i + 18", "m": "h + 4", "a": "m + 20", "b": "a + 3", "d": "b + 20", "j": "d + 13", "n": "i + 2", "p": "n + 15", "u": "p + 13", "g": "u + 10", "w": "g + 5", "y": "w + 2", "i": 15}, "premises": {"i": 15}, "target": "j"}, "answer": {"steps": [["h", "i + 18", 33], ["m", "h + 4", 37], ["a", "m + ... | 25,584 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = i + 2; j = d + 13; p = n + 15; g = u + 10; h = i + 18; w = g + 5; a = m + 20; b = a + 3; y = w + 2; d = b + 20; i = 15; u = p + 13; m = h + 4. Given that i = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = i + 18, which gives h = 33.\n2. Compute m using m = h + 4, which gives m = 37.\n3. Compute a using a = m + 20, which gives a = 57.\n4. Compute b using b = a + 3, which gives b = 60.\n5. Compute d using d = b + 20, whic... |
{"problem": {"rules": {"z": "c + 4", "o": "z + 7", "u": "o + 13", "y": "u + 4", "n": "y + 8", "x": "n + 12", "i": "c + 5", "l": "i + 17", "a": "l + 7", "p": "a + 4", "s": "p + 8", "j": "s + 4", "c": 4}, "premises": {"c": 4}, "target": "x"}, "answer": {"steps": [["z", "c + 4", 8], ["o", "z + 7", 15], ["u", "o + 13", 28]... | 25,585 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 4; y = u + 4; u = o + 13; o = z + 7; z = c + 4; n = y + 8; l = i + 17; c = 4; a = l + 7; s = p + 8; x = n + 12; i = c + 5; j = s + 4. Given that c = 4, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = c + 4, which gives z = 8.\n2. Compute o using o = z + 7, which gives o = 15.\n3. Compute u using u = o + 13, which gives u = 28.\n4. Compute y using y = u + 4, which gives y = 32.\n5. Compute n using n = y + 8, which g... |
{"problem": {"rules": {"e": "n + 18", "i": "e + 14", "r": "i + 10", "a": "r + 17", "s": "a + 15", "z": "s + 18", "p": "n + 6", "q": "p + 1", "m": "q + 16", "f": "m + 9", "o": "f + 10", "h": "o + 9", "n": 1}, "premises": {"n": 1}, "target": "z"}, "answer": {"steps": [["e", "n + 18", 19], ["i", "e + 14", 33], ["r", "i + ... | 25,586 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 1; e = n + 18; r = i + 10; o = f + 10; f = m + 9; z = s + 18; i = e + 14; h = o + 9; a = r + 17; m = q + 16; n = 1; p = n + 6; s = a + 15. Given that n = 1, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = n + 18, which gives e = 19.\n2. Compute i using i = e + 14, which gives i = 33.\n3. Compute r using r = i + 10, which gives r = 43.\n4. Compute a using a = r + 17, which gives a = 60.\n5. Compute s using s = a + 15, wh... |
{"problem": {"rules": {"w": "i + 12", "z": "w + 10", "k": "z + 7", "p": "k + 14", "a": "p + 15", "v": "a + 3", "t": "i + 4", "c": "t + 19", "r": "c + 16", "x": "r + 10", "b": "x + 18", "m": "b + 3", "i": 16}, "premises": {"i": 16}, "target": "v"}, "answer": {"steps": [["w", "i + 12", 28], ["z", "w + 10", 38], ["k", "z ... | 25,587 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 19; b = x + 18; t = i + 4; r = c + 16; v = a + 3; i = 16; m = b + 3; w = i + 12; p = k + 14; a = p + 15; x = r + 10; z = w + 10; k = z + 7. If i = 16, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = i + 12, which gives w = 28.\n2. Compute z using z = w + 10, which gives z = 38.\n3. Compute k using k = z + 7, which gives k = 45.\n4. Compute p using p = k + 14, which gives p = 59.\n5. Compute a using a = p + 15, whi... |
{"problem": {"rules": {"w": "p + 10", "t": "w + 16", "y": "t + 7", "j": "y + 11", "f": "j + 19", "c": "f + 11", "i": "p + 12", "m": "i + 1", "k": "m + 14", "e": "k + 1", "v": "e + 2", "n": "v + 20", "p": 7}, "premises": {"p": 7}, "target": "c"}, "answer": {"steps": [["w", "p + 10", 17], ["t", "w + 16", 33], ["y", "t + ... | 25,588 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = e + 2; j = y + 11; t = w + 16; m = i + 1; y = t + 7; w = p + 10; p = 7; n = v + 20; i = p + 12; f = j + 19; c = f + 11; e = k + 1; k = m + 14. If p = 7, 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. Compute w using w = p + 10, which gives w = 17.\n2. Compute t using t = w + 16, which gives t = 33.\n3. Compute y using y = t + 7, which gives y = 40.\n4. Compute j using j = y + 11, which gives j = 51.\n5. Compute f using f = j + 19, whi... |
{"problem": {"rules": {"u": "z + 14", "r": "u + 17", "g": "r + 9", "f": "g + 3", "h": "f + 4", "c": "h + 6", "p": "z + 16", "k": "p + 20", "i": "k + 19", "d": "i + 14", "q": "d + 7", "l": "q + 18", "z": 7}, "premises": {"z": 7}, "target": "c"}, "answer": {"steps": [["u", "z + 14", 21], ["r", "u + 17", 38], ["g", "r + 9... | 25,589 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = r + 9; r = u + 17; l = q + 18; z = 7; u = z + 14; c = h + 6; p = z + 16; h = f + 4; i = k + 19; k = p + 20; d = i + 14; f = g + 3; q = d + 7. If z = 7, what is the resulting value of c?",
"role": "user"... | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = z + 14, which gives u = 21.\n2. Compute r using r = u + 17, which gives r = 38.\n3. Compute g using g = r + 9, which gives g = 47.\n4. Compute f using f = g + 3, which gives f = 50.\n5. Compute h using h = f + 4, which... |
{"problem": {"rules": {"d": "y + 4", "m": "d + 1", "h": "m + 9", "c": "h + 6", "w": "c + 2", "i": "w + 14", "x": "y + 19", "g": "x + 9", "k": "g + 5", "l": "k + 2", "s": "l + 15", "b": "s + 8", "y": 10}, "premises": {"y": 10}, "target": "i"}, "answer": {"steps": [["d", "y + 4", 14], ["m", "d + 1", 15], ["h", "m + 9", 2... | 25,590 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = c + 2; l = k + 2; x = y + 19; d = y + 4; b = s + 8; i = w + 14; k = g + 5; h = m + 9; y = 10; m = d + 1; g = x + 9; c = h + 6; s = l + 15. If y = 10, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = y + 4, which gives d = 14.\n2. Compute m using m = d + 1, which gives m = 15.\n3. Compute h using h = m + 9, which gives h = 24.\n4. Compute c using c = h + 6, which gives c = 30.\n5. Compute w using w = c + 2, which g... |
{"problem": {"rules": {"f": "n + 8", "p": "f + 7", "v": "p + 14", "r": "v + 17", "m": "r + 20", "y": "m + 14", "a": "n + 12", "g": "a + 12", "u": "g + 10", "c": "u + 4", "k": "c + 8", "q": "k + 12", "n": 18}, "premises": {"n": 18}, "target": "y"}, "answer": {"steps": [["f", "n + 8", 26], ["p", "f + 7", 33], ["v", "p + ... | 25,591 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = m + 14; r = v + 17; v = p + 14; k = c + 8; q = k + 12; f = n + 8; a = n + 12; n = 18; p = f + 7; u = g + 10; m = r + 20; c = u + 4; g = a + 12. Given that n = 18, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = n + 8, which gives f = 26.\n2. Compute p using p = f + 7, which gives p = 33.\n3. Compute v using v = p + 14, which gives v = 47.\n4. Compute r using r = v + 17, which gives r = 64.\n5. Compute m using m = r + 20, whic... |
{"problem": {"rules": {"k": "j + 20", "r": "k + 16", "v": "r + 11", "t": "v + 13", "m": "t + 15", "h": "m + 7", "g": "j + 17", "q": "g + 19", "f": "q + 11", "x": "f + 9", "w": "x + 16", "n": "w + 16", "j": 8}, "premises": {"j": 8}, "target": "h"}, "answer": {"steps": [["k", "j + 20", 28], ["r", "k + 16", 44], ["v", "r ... | 25,592 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = m + 7; r = k + 16; n = w + 16; j = 8; x = f + 9; m = t + 15; v = r + 11; q = g + 19; w = x + 16; t = v + 13; k = j + 20; f = q + 11; g = j + 17. If j = 8, what is the resulting value of h?",
"role": "us... | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = j + 20, which gives k = 28.\n2. Compute r using r = k + 16, which gives r = 44.\n3. Compute v using v = r + 11, which gives v = 55.\n4. Compute t using t = v + 13, which gives t = 68.\n5. Compute m using m = t + 15, wh... |
{"problem": {"rules": {"r": "l + 18", "i": "r + 6", "k": "i + 15", "s": "k + 6", "d": "s + 8", "y": "d + 14", "t": "l + 7", "n": "t + 20", "m": "n + 16", "p": "m + 12", "j": "p + 9", "b": "j + 17", "l": 1}, "premises": {"l": 1}, "target": "y"}, "answer": {"steps": [["r", "l + 18", 19], ["i", "r + 6", 25], ["k", "i + 15... | 25,593 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 12; i = r + 6; y = d + 14; d = s + 8; j = p + 9; k = i + 15; n = t + 20; m = n + 16; b = j + 17; r = l + 18; t = l + 7; s = k + 6; l = 1. If l = 1, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = l + 18, which gives r = 19.\n2. Compute i using i = r + 6, which gives i = 25.\n3. Compute k using k = i + 15, which gives k = 40.\n4. Compute s using s = k + 6, which gives s = 46.\n5. Compute d using d = s + 8, which... |
{"problem": {"rules": {"e": "o + 10", "a": "e + 18", "g": "a + 13", "j": "g + 2", "m": "j + 12", "t": "m + 5", "x": "o + 6", "r": "x + 6", "n": "r + 12", "l": "n + 2", "q": "l + 4", "u": "q + 18", "o": 14}, "premises": {"o": 14}, "target": "t"}, "answer": {"steps": [["e", "o + 10", 24], ["a", "e + 18", 42], ["g", "a + ... | 25,594 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 6; n = r + 12; l = n + 2; a = e + 18; u = q + 18; j = g + 2; g = a + 13; q = l + 4; e = o + 10; r = x + 6; o = 14; t = m + 5; m = j + 12. If o = 14, what is the resulting value of t?",
"role": "user... | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = o + 10, which gives e = 24.\n2. Compute a using a = e + 18, which gives a = 42.\n3. Compute g using g = a + 13, which gives g = 55.\n4. Compute j using j = g + 2, which gives j = 57.\n5. Compute m using m = j + 12, whi... |
{"problem": {"rules": {"e": "y + 20", "r": "e + 15", "n": "r + 17", "z": "n + 5", "x": "z + 20", "d": "x + 15", "u": "y + 13", "k": "u + 4", "w": "k + 18", "a": "w + 18", "m": "a + 18", "c": "m + 16", "y": 16}, "premises": {"y": 16}, "target": "d"}, "answer": {"steps": [["e", "y + 20", 36], ["r", "e + 15", 51], ["n", "... | 25,595 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = y + 13; n = r + 17; k = u + 4; y = 16; w = k + 18; e = y + 20; m = a + 18; x = z + 20; c = m + 16; z = n + 5; d = x + 15; r = e + 15; a = w + 18. Given that y = 16, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 108,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = y + 20, which gives e = 36.\n2. Compute r using r = e + 15, which gives r = 51.\n3. Compute n using n = r + 17, which gives n = 68.\n4. Compute z using z = n + 5, which gives z = 73.\n5. Compute x using x = z + 20, whi... |
{"problem": {"rules": {"v": "m + 18", "e": "v + 3", "q": "e + 3", "w": "q + 8", "n": "w + 2", "b": "n + 18", "s": "m + 20", "x": "s + 15", "g": "x + 8", "z": "g + 20", "p": "z + 14", "j": "p + 6", "m": 3}, "premises": {"m": 3}, "target": "b"}, "answer": {"steps": [["v", "m + 18", 21], ["e", "v + 3", 24], ["q", "e + 3",... | 25,596 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = 3; g = x + 8; x = s + 15; n = w + 2; j = p + 6; q = e + 3; e = v + 3; z = g + 20; w = q + 8; s = m + 20; p = z + 14; v = m + 18; b = n + 18. Given that m = 3, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = m + 18, which gives v = 21.\n2. Compute e using e = v + 3, which gives e = 24.\n3. Compute q using q = e + 3, which gives q = 27.\n4. Compute w using w = q + 8, which gives w = 35.\n5. Compute n using n = w + 2, which ... |
{"problem": {"rules": {"y": "i + 10", "n": "y + 10", "c": "n + 16", "o": "c + 13", "x": "o + 3", "g": "x + 7", "u": "i + 11", "e": "u + 18", "m": "e + 5", "d": "m + 10", "v": "d + 4", "l": "v + 10", "i": 17}, "premises": {"i": 17}, "target": "g"}, "answer": {"steps": [["y", "i + 10", 27], ["n", "y + 10", 37], ["c", "n ... | 25,597 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = i + 10; v = d + 4; x = o + 3; g = x + 7; u = i + 11; n = y + 10; d = m + 10; o = c + 13; c = n + 16; m = e + 5; l = v + 10; i = 17; e = u + 18. Given that i = 17, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = i + 10, which gives y = 27.\n2. Compute n using n = y + 10, which gives n = 37.\n3. Compute c using c = n + 16, which gives c = 53.\n4. Compute o using o = c + 13, which gives o = 66.\n5. Compute x using x = o + 3, whi... |
{"problem": {"rules": {"l": "c + 13", "t": "l + 10", "r": "t + 8", "n": "r + 17", "w": "n + 17", "i": "w + 14", "z": "c + 5", "j": "z + 18", "k": "j + 10", "a": "k + 8", "x": "a + 12", "g": "x + 3", "c": 19}, "premises": {"c": 19}, "target": "i"}, "answer": {"steps": [["l", "c + 13", 32], ["t", "l + 10", 42], ["r", "t ... | 25,598 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = w + 14; x = a + 12; w = n + 17; r = t + 8; j = z + 18; t = l + 10; k = j + 10; g = x + 3; l = c + 13; c = 19; n = r + 17; z = c + 5; a = k + 8. If c = 19, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = c + 13, which gives l = 32.\n2. Compute t using t = l + 10, which gives t = 42.\n3. Compute r using r = t + 8, which gives r = 50.\n4. Compute n using n = r + 17, which gives n = 67.\n5. Compute w using w = n + 17, whi... |
{"problem": {"rules": {"z": "s + 6", "l": "z + 3", "n": "l + 8", "f": "n + 17", "c": "f + 5", "m": "c + 2", "h": "s + 8", "j": "h + 8", "x": "j + 18", "u": "x + 16", "e": "u + 1", "o": "e + 12", "s": 18}, "premises": {"s": 18}, "target": "m"}, "answer": {"steps": [["z", "s + 6", 24], ["l", "z + 3", 27], ["n", "l + 8", ... | 25,599 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 12; e = u + 1; n = l + 8; l = z + 3; u = x + 16; x = j + 18; m = c + 2; s = 18; h = s + 8; j = h + 8; c = f + 5; z = s + 6; f = n + 17. If s = 18, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = s + 6, which gives z = 24.\n2. Compute l using l = z + 3, which gives l = 27.\n3. Compute n using n = l + 8, which gives n = 35.\n4. Compute f using f = n + 17, which gives f = 52.\n5. Compute c using c = f + 5, which ... |
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