question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let n(v) = -11575*v**2 - 919*v + 4. Let i(l) = 11580*l**2 + 917*l - 3. Let f(c) = 5*i(c) + 4*n(c). Find the second derivative of f(z) wrt z.\n' | b'23200\n' | b'Let n(v) = -11575*v**2 - 919*v + 4. Let i(l) = 11580*l**2 + 917*l - 3. Let f(c) = 5*i(c) + 4*n(c). Find the second derivative of f(z) wrt z.\n' | b'23200\n' | deepmind/math_dataset |
b'Let a(s) be the first derivative of 227*s**5/5 - 160*s + 133. What is the derivative of a(m) wrt m?\n' | b'908*m**3\n' | b'Let a(s) be the first derivative of 227*s**5/5 - 160*s + 133. What is the derivative of a(m) wrt m?\n' | b'908*m**3\n' | deepmind/math_dataset |
b'Let o(k) = 14*k. Let r(y) = 69*y. Let v(b) = -11*o(b) + 2*r(b). Give v(-1).\n' | b'16\n' | b'Let o(k) = 14*k. Let r(y) = 69*y. Let v(b) = -11*o(b) + 2*r(b). Give v(-1).\n' | b'16\n' | deepmind/math_dataset |
b'Suppose -4*h = 0, 12*p - 13*p = -2*h - 3. Solve -3*k + 4*f = 0, 3*k - p*f = -0*k for k.\n' | b'0\n' | b'Suppose -4*h = 0, 12*p - 13*p = -2*h - 3. Solve -3*k + 4*f = 0, 3*k - p*f = -0*k for k.\n' | b'0\n' | deepmind/math_dataset |
b'Let p(t) = -t**3 + 25*t**2 - 23*t - 22. Let x be p(24). Solve -12 = 3*w, -4*w = 2*m + x*m + 12 for m.\n' | b'1\n' | b'Let p(t) = -t**3 + 25*t**2 - 23*t - 22. Let x be p(24). Solve -12 = 3*w, -4*w = 2*m + x*m + 12 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(d) be the third derivative of -1/112*d**8 - 1/30*d**5 + 0*d**7 + 0*d**4 + 0*d + 0 + 0*d**3 + 0*d**6 + 2*d**2. What is the third derivative of q(u) wrt u?\n' | b'-180*u**2\n' | b'Let q(d) be the third derivative of -1/112*d**8 - 1/30*d**5 + 0*d**7 + 0*d**4 + 0*d + 0 + 0*d**3 + 0*d**6 + 2*d**2. What is the third derivative of q(u) wrt u?\n' | b'-180*u**2\n' | deepmind/math_dataset |
b'Let g(v) be the third derivative of -v**6/120 + v**5/60 - v**4/24 + 7*v**3/6 - 1661*v**2. Give g(2).\n' | b'1\n' | b'Let g(v) be the third derivative of -v**6/120 + v**5/60 - v**4/24 + 7*v**3/6 - 1661*v**2. Give g(2).\n' | b'1\n' | deepmind/math_dataset |
b'Let o(i) = i - 1. Let w(n) = 2*n + 6 + 0*n - 1 - n + n**2. Let x(t) = 2*o(t) + w(t). Let l be x(-6). Solve 9 = 3*h - 5*j + 2*j, -j = 5*h - l for h.\n' | b'4\n' | b'Let o(i) = i - 1. Let w(n) = 2*n + 6 + 0*n - 1 - n + n**2. Let x(t) = 2*o(t) + w(t). Let l be x(-6). Solve 9 = 3*h - 5*j + 2*j, -j = 5*h - l for h.\n' | b'4\n' | deepmind/math_dataset |
b'Let i(j) be the first derivative of -j**6/120 + j**5/60 + 11*j**3/6 + 21*j**2/2 + 19. Let z(x) be the second derivative of i(x). Give z(0).\n' | b'11\n' | b'Let i(j) be the first derivative of -j**6/120 + j**5/60 + 11*j**3/6 + 21*j**2/2 + 19. Let z(x) be the second derivative of i(x). Give z(0).\n' | b'11\n' | deepmind/math_dataset |
b'What is prob of sequence yf when two letters picked without replacement from {y: 1, z: 1, h: 3, f: 3, c: 5}?\n' | b'1/52\n' | b'What is prob of sequence yf when two letters picked without replacement from {y: 1, z: 1, h: 3, f: 3, c: 5}?\n' | b'1/52\n' | deepmind/math_dataset |
b'Simplify ((r/(r**(1/4)/r))/r)**7/(r**(2/17))**30 assuming r is positive.\n' | b'r**(117/68)\n' | b'Simplify ((r/(r**(1/4)/r))/r)**7/(r**(2/17))**30 assuming r is positive.\n' | b'r**(117/68)\n' | deepmind/math_dataset |
b'Simplify ((((y**19/y)/y)/y**(7/6))/(y/(y*(y/(y*y**(-18)))/y)*y**(5/9)))**(8/11) assuming y is positive.\n' | b'y**(2324/99)\n' | b'Simplify ((((y**19/y)/y)/y**(7/6))/(y/(y*(y/(y*y**(-18)))/y)*y**(5/9)))**(8/11) assuming y is positive.\n' | b'y**(2324/99)\n' | deepmind/math_dataset |
b'Let o(q) = 3*q - 4. Let y be o(3). Let r(b) be the first derivative of 7*b - 8*b**2 - b + 6 - 9*b**2 + 16*b**2. Give r(y).\n' | b'-4\n' | b'Let o(q) = 3*q - 4. Let y be o(3). Let r(b) be the first derivative of 7*b - 8*b**2 - b + 6 - 9*b**2 + 16*b**2. Give r(y).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, b: 6, e: 7}. What is prob of sequence bb?\n' | b'15/91\n' | b'Two letters picked without replacement from {h: 1, b: 6, e: 7}. What is prob of sequence bb?\n' | b'15/91\n' | deepmind/math_dataset |
b'Let c(h) = 4*h - 9*h + 8*h + 2 - 5*h. Let f be 54/15 + 2/5. Determine c(f).\n' | b'-6\n' | b'Let c(h) = 4*h - 9*h + 8*h + 2 - 5*h. Let f be 54/15 + 2/5. Determine c(f).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence pbp when three letters picked without replacement from {b: 4, p: 2}?\n' | b'1/15\n' | b'What is prob of sequence pbp when three letters picked without replacement from {b: 4, p: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let h be (4 - 42/12)*0/4. Solve -5*r + m - 16 = h, 4*m + 8 = -8 for r.\n' | b'-4\n' | b'Let h be (4 - 42/12)*0/4. Solve -5*r + m - 16 = h, 4*m + 8 = -8 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((h**8)**(-1/15))**(-29/5) assuming h is positive.\n' | b'h**(232/75)\n' | b'Simplify ((h**8)**(-1/15))**(-29/5) assuming h is positive.\n' | b'h**(232/75)\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from {n: 1, j: 5, z: 4}?\n' | b'2/15\n' | b'What is prob of picking 2 z when two letters picked without replacement from {n: 1, j: 5, z: 4}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let q = 17579 + -17574. Solve q*z - 44 = -5*j - 29, -8*j - 5*z = -36 for j.\n' | b'7\n' | b'Let q = 17579 + -17574. Solve q*z - 44 = -5*j - 29, -8*j - 5*z = -36 for j.\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 t, and 2 o when four letters picked without replacement from {o: 7, z: 2, t: 7, a: 2}.\n' | b'49/510\n' | b'Calculate prob of picking 1 z, 1 t, and 2 o when four letters picked without replacement from {o: 7, z: 2, t: 7, a: 2}.\n' | b'49/510\n' | deepmind/math_dataset |
b'Calculate prob of sequence ve when two letters picked without replacement from {e: 3, v: 1, g: 2, n: 7, o: 1}.\n' | b'3/182\n' | b'Calculate prob of sequence ve when two letters picked without replacement from {e: 3, v: 1, g: 2, n: 7, o: 1}.\n' | b'3/182\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 k when two letters picked without replacement from gkwgptwt.\n' | b'1/14\n' | b'Calculate prob of picking 1 t and 1 k when two letters picked without replacement from gkwgptwt.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let a(n) = n + 16. Let i be ((-1)/5)/((-19)/95). Let p be (35/(-21))/(i/6). What is a(p)?\n' | b'6\n' | b'Let a(n) = n + 16. Let i be ((-1)/5)/((-19)/95). Let p be (35/(-21))/(i/6). What is a(p)?\n' | b'6\n' | deepmind/math_dataset |
b'Let d be (-4)/(-8 + 2 - -4). Suppose -2*t = -d*k - 12, -4*t + 19 = 2*k - k. Solve 0 = -4*f - m + 38 - 14, -2*f - 10 = -t*m for f.\n' | b'5\n' | b'Let d be (-4)/(-8 + 2 - -4). Suppose -2*t = -d*k - 12, -4*t + 19 = 2*k - k. Solve 0 = -4*f - m + 38 - 14, -2*f - 10 = -t*m for f.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, v: 2, k: 7}. Give prob of sequence kv.\n' | b'7/45\n' | b'Two letters picked without replacement from {y: 1, v: 2, k: 7}. Give prob of sequence kv.\n' | b'7/45\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 4, f: 1, b: 3, i: 4, h: 2}. Give prob of picking 1 f and 1 i.\n' | b'4/91\n' | b'Two letters picked without replacement from {m: 4, f: 1, b: 3, i: 4, h: 2}. Give prob of picking 1 f and 1 i.\n' | b'4/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qvjupzvup. Give prob of picking 2 u and 2 p.\n' | b'1/126\n' | b'Four letters picked without replacement from qvjupzvup. Give prob of picking 2 u and 2 p.\n' | b'1/126\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, i: 2}. Give prob of sequence fif.\n' | b'1/6\n' | b'Three letters picked without replacement from {f: 2, i: 2}. Give prob of sequence fif.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let m = 18 + -14. Let j(o) be the first derivative of 0*o + 1/2*o**2 - 1 + 0*o**3 - 1/4*o**m. Find the second derivative of j(d) wrt d.\n' | b'-6*d\n' | b'Let m = 18 + -14. Let j(o) be the first derivative of 0*o + 1/2*o**2 - 1 + 0*o**3 - 1/4*o**m. Find the second derivative of j(d) wrt d.\n' | b'-6*d\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 i when two letters picked without replacement from vvnvjvnyvvninn.\n' | b'1/91\n' | b'Calculate prob of picking 1 j and 1 i when two letters picked without replacement from vvnvjvnyvvninn.\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify (z**14*(z**(2/31)/z*z)/z)**42/((z/(z/(z*z/(z*z*z**(-7/5)*z)))*z/((z**(-4)*z)/z*z))/(z**(2/5)*z**4/z*z)) assuming z is positive.\n' | b'z**(17010/31)\n' | b'Simplify (z**14*(z**(2/31)/z*z)/z)**42/((z/(z/(z*z/(z*z*z**(-7/5)*z)))*z/((z**(-4)*z)/z*z))/(z**(2/5)*z**4/z*z)) assuming z is positive.\n' | b'z**(17010/31)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 5, e: 2}. What is prob of sequence see?\n' | b'1/21\n' | b'Three letters picked without replacement from {s: 5, e: 2}. What is prob of sequence see?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let a(i) = -i**3 + 15*i**2 - 25*i - 4. Let h be a(13). Solve -t - d = -3*t + h, -2*t = d - 7 for t.\n' | b'4\n' | b'Let a(i) = -i**3 + 15*i**2 - 25*i - 4. Let h be a(13). Solve -t - d = -3*t + h, -2*t = d - 7 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let l = 83 - 80. Suppose 0 = -0*s + 3*s - 2*d - 23, 0 = -2*s + d + 15. Differentiate t - t - s + 7*t - l*t with respect to t.\n' | b'4\n' | b'Let l = 83 - 80. Suppose 0 = -0*s + 3*s - 2*d - 23, 0 = -2*s + d + 15. Differentiate t - t - s + 7*t - l*t with respect to t.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, y: 1, b: 3, z: 1, w: 4}. Give prob of picking 2 b and 1 z.\n' | b'1/55\n' | b'Three letters picked without replacement from {u: 2, y: 1, b: 3, z: 1, w: 4}. Give prob of picking 2 b and 1 z.\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of sequence whh when three letters picked without replacement from {w: 5, h: 2}?\n' | b'1/21\n' | b'What is prob of sequence whh when three letters picked without replacement from {w: 5, h: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (n**(-1/6)/n*n*n**(-2/3))**27/(n**(-1/4)*n**1)**12 assuming n is positive.\n' | b'n**(-63/2)\n' | b'Simplify (n**(-1/6)/n*n*n**(-2/3))**27/(n**(-1/4)*n**1)**12 assuming n is positive.\n' | b'n**(-63/2)\n' | deepmind/math_dataset |
b'Let s(j) be the first derivative of 39*j**3 - 3*j**2 - 9*j - 14. What is the second derivative of s(l) wrt l?\n' | b'234\n' | b'Let s(j) be the first derivative of 39*j**3 - 3*j**2 - 9*j - 14. What is the second derivative of s(l) wrt l?\n' | b'234\n' | deepmind/math_dataset |
b'Let v(j) = -j**3 + 8*j**2 + 9*j + 4. Let y be v(9). Differentiate -5*g**4 - 1 + 6*g**y + 5*g**4 - 9 with respect to g.\n' | b'24*g**3\n' | b'Let v(j) = -j**3 + 8*j**2 + 9*j + 4. Let y be v(9). Differentiate -5*g**4 - 1 + 6*g**y + 5*g**4 - 9 with respect to g.\n' | b'24*g**3\n' | deepmind/math_dataset |
b'Simplify ((l*l/(l/(l/l**(-3/7))))/l**(-1/6))**(-49)/((l/l**(-7))/(l/((((l*l**6/l)/l)/l)/l)*l))**3 assuming l is positive.\n' | b'l**(-925/6)\n' | b'Simplify ((l*l/(l/(l/l**(-3/7))))/l**(-1/6))**(-49)/((l/l**(-7))/(l/((((l*l**6/l)/l)/l)/l)*l))**3 assuming l is positive.\n' | b'l**(-925/6)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 5, o: 2}. Give prob of picking 2 o and 2 r.\n' | b'2/7\n' | b'Four letters picked without replacement from {r: 5, o: 2}. Give prob of picking 2 o and 2 r.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let q(w) = 7*w + 4 - 12*w + 0*w + 7*w. Let a(m) = m**3 - 6*m**2 - 8*m + 10. Let c be a(7). What is q(c)?\n' | b'10\n' | b'Let q(w) = 7*w + 4 - 12*w + 0*w + 7*w. Let a(m) = m**3 - 6*m**2 - 8*m + 10. Let c be a(7). What is q(c)?\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence by when two letters picked without replacement from {y: 1, b: 1, c: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence by when two letters picked without replacement from {y: 1, b: 1, c: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 4*d + 112 = 336. Let l = d - 59. Let j(f) = -2*f - 3. Determine j(l).\n' | b'3\n' | b'Suppose 4*d + 112 = 336. Let l = d - 59. Let j(f) = -2*f - 3. Determine j(l).\n' | b'3\n' | deepmind/math_dataset |
b'Let n(g) = -g - 2. Let r be n(-5). Suppose 3 = -r*i + 21. Solve p - 12 = 3*u + i*p, 4*u = -4*p - 8 for u.\n' | b'1\n' | b'Let n(g) = -g - 2. Let r be n(-5). Suppose 3 = -r*i + 21. Solve p - 12 = 3*u + i*p, 4*u = -4*p - 8 for u.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 6*a - 8 = 2*a. Let z(j) = 7*j**2 + j - 16*j**2 + 2 + 6*j**a + 0. Calculate z(2).\n' | b'-8\n' | b'Suppose 6*a - 8 = 2*a. Let z(j) = 7*j**2 + j - 16*j**2 + 2 + 6*j**a + 0. Calculate z(2).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence ro when two letters picked without replacement from yyyoyrydzly.\n' | b'1/110\n' | b'Calculate prob of sequence ro when two letters picked without replacement from yyyoyrydzly.\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (w*w*w**17)/w**(-1/12) assuming w is positive.\n' | b'w**(229/12)\n' | b'Simplify (w*w*w**17)/w**(-1/12) assuming w is positive.\n' | b'w**(229/12)\n' | deepmind/math_dataset |
b'Let g(n) = 71*n**2 - 3*n - 85. Let a(c) = 70*c**2 - 2*c - 76. Let q(b) = -4*a(b) + 3*g(b). Find the second derivative of q(m) wrt m.\n' | b'-134\n' | b'Let g(n) = 71*n**2 - 3*n - 85. Let a(c) = 70*c**2 - 2*c - 76. Let q(b) = -4*a(b) + 3*g(b). Find the second derivative of q(m) wrt m.\n' | b'-134\n' | deepmind/math_dataset |
b'What is prob of sequence omo when three letters picked without replacement from okkoiokkkkmkkk?\n' | b'1/364\n' | b'What is prob of sequence omo when three letters picked without replacement from okkoiokkkkmkkk?\n' | b'1/364\n' | deepmind/math_dataset |
b'What is prob of sequence fat when three letters picked without replacement from {i: 1, t: 2, f: 1, a: 1}?\n' | b'1/30\n' | b'What is prob of sequence fat when three letters picked without replacement from {i: 1, t: 2, f: 1, a: 1}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let w(y) = -y**3 - 18*y**2 - 14*y + 42. Let g be w(-17). Let n(s) = -s**2 - 12*s - 10. Let k be n(g). Solve -4*c - k = 3*x, -2*x = -4*c - 0*x - 22 for c.\n' | b'-5\n' | b'Let w(y) = -y**3 - 18*y**2 - 14*y + 42. Let g be w(-17). Let n(s) = -s**2 - 12*s - 10. Let k be n(g). Solve -4*c - k = 3*x, -2*x = -4*c - 0*x - 22 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(v) be the first derivative of -v**8/210 + v**6/36 - 7*v**3/3 + 10. Let q(g) be the third derivative of k(g). Find the third derivative of q(d) wrt d.\n' | b'-192*d\n' | b'Let k(v) be the first derivative of -v**8/210 + v**6/36 - 7*v**3/3 + 10. Let q(g) be the third derivative of k(g). Find the third derivative of q(d) wrt d.\n' | b'-192*d\n' | deepmind/math_dataset |
b'What is the third derivative of -16*o**3 - o**4 + 118*o**2 - 2410*o - 32*o**4 + 2412*o - 4*o**4 wrt o?\n' | b'-888*o - 96\n' | b'What is the third derivative of -16*o**3 - o**4 + 118*o**2 - 2410*o - 32*o**4 + 2412*o - 4*o**4 wrt o?\n' | b'-888*o - 96\n' | deepmind/math_dataset |
b'Let m(t) = 15*t - 31. Let d be m(4). Solve -2*c - d = 3*c + 2*l, 2*c + 20 = -5*l for c.\n' | b'-5\n' | b'Let m(t) = 15*t - 31. Let d be m(4). Solve -2*c - d = 3*c + 2*l, 2*c + 20 = -5*l for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let q(f) = -4*f**3 - 7*f**2 + f - 1. Let l(m) = -m**3 - m**2. Let h(p) = -3*l(p) + q(p). Determine h(-4).\n' | b'-5\n' | b'Let q(f) = -4*f**3 - 7*f**2 + f - 1. Let l(m) = -m**3 - m**2. Let h(p) = -3*l(p) + q(p). Determine h(-4).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from uuuuuubbbbubb.\n' | b'7/26\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from uuuuuubbbbubb.\n' | b'7/26\n' | deepmind/math_dataset |
b'Find the first derivative of 8 - 6*f**4 + 0 - 4*f**4 wrt f.\n' | b'-40*f**3\n' | b'Find the first derivative of 8 - 6*f**4 + 0 - 4*f**4 wrt f.\n' | b'-40*f**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from aappmapaam.\n' | b'1/15\n' | b'Calculate prob of sequence pp when two letters picked without replacement from aappmapaam.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let v(r) be the third derivative of 0 + 4/3*r**3 + 1/120*r**6 - 4*r**2 + 1/12*r**5 - 1/6*r**4 + 0*r. Let f be v(-6). Let b(j) = j**2 + 7*j + 5. What is b(f)?\n' | b'-7\n' | b'Let v(r) be the third derivative of 0 + 4/3*r**3 + 1/120*r**6 - 4*r**2 + 1/12*r**5 - 1/6*r**4 + 0*r. Let f be v(-6). Let b(j) = j**2 + 7*j + 5. What is b(f)?\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 2, y: 9, c: 2}. What is prob of sequence ycvc?\n' | b'3/1430\n' | b'Four letters picked without replacement from {v: 2, y: 9, c: 2}. What is prob of sequence ycvc?\n' | b'3/1430\n' | deepmind/math_dataset |
b'Let u be (-6)/4 - 29/(-2). Suppose 3*o - 7 = -4*t + 5*t, 5*t = 3*o + u. Solve 5*l + 3*y = 4, 3*l - 5*l - t*y = -13 for l.\n' | b'-1\n' | b'Let u be (-6)/4 - 29/(-2). Suppose 3*o - 7 = -4*t + 5*t, 5*t = 3*o + u. Solve 5*l + 3*y = 4, 3*l - 5*l - t*y = -13 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i be 10/4 + 4/8. Suppose -4 = 2*c - 2, -x - 3*c + i = 0. Let d be 6 - (-1)/(1 + -2). Solve -d*m + x = 2*r - 0, m = r - 3 for m.\n' | b'0\n' | b'Let i be 10/4 + 4/8. Suppose -4 = 2*c - 2, -x - 3*c + i = 0. Let d be 6 - (-1)/(1 + -2). Solve -d*m + x = 2*r - 0, m = r - 3 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(q) be the second derivative of -1259*q**4/12 + 663*q**2 - 831*q. Differentiate d(x) with respect to x.\n' | b'-2518*x\n' | b'Let d(q) be the second derivative of -1259*q**4/12 + 663*q**2 - 831*q. Differentiate d(x) with respect to x.\n' | b'-2518*x\n' | deepmind/math_dataset |
b'Let x(l) = 5*l - 3. Let g be x(2). Suppose 29*f - 34*f = -c - 43, 2*c + 14 = f. Find the second derivative of -143*b**5 + 168*b**5 + f*b + g*b wrt b.\n' | b'500*b**3\n' | b'Let x(l) = 5*l - 3. Let g be x(2). Suppose 29*f - 34*f = -c - 43, 2*c + 14 = f. Find the second derivative of -143*b**5 + 168*b**5 + f*b + g*b wrt b.\n' | b'500*b**3\n' | deepmind/math_dataset |
b'Simplify ((p**23*p/(((p/p**(3/4))/p)/p))/(p**(1/9)*p)**(-7))**6 assuming p is positive.\n' | b'p**(1207/6)\n' | b'Simplify ((p**23*p/(((p/p**(3/4))/p)/p))/(p**(1/9)*p)**(-7))**6 assuming p is positive.\n' | b'p**(1207/6)\n' | deepmind/math_dataset |
b'Let h(t) = -4*t - 7. Let s be h(-3). Let o be 0/(6/(-2)) - -4. Solve -5*f - s = 3*k, -2*f - o = 4 for k.\n' | b'5\n' | b'Let h(t) = -4*t - 7. Let s be h(-3). Let o be 0/(6/(-2)) - -4. Solve -5*f - s = 3*k, -2*f - o = 4 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify c*c**(4/3)*c**(-21)*c*c*c*c**(-1/15)*c**4*c assuming c is positive.\n' | b'c**(-161/15)\n' | b'Simplify c*c**(4/3)*c**(-21)*c*c*c*c**(-1/15)*c**4*c assuming c is positive.\n' | b'c**(-161/15)\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 1 f, and 1 d when three letters picked without replacement from ndnooofdonfnnnnffdnn?\n' | b'4/95\n' | b'What is prob of picking 1 o, 1 f, and 1 d when three letters picked without replacement from ndnooofdonfnnnnffdnn?\n' | b'4/95\n' | deepmind/math_dataset |
b'Let l = 517 + -32. Let v = -479 + l. Solve -o = -b, -o - 4*b = 1 - v for o.\n' | b'1\n' | b'Let l = 517 + -32. Let v = -479 + l. Solve -o = -b, -o - 4*b = 1 - v for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let l(k) = -k**3 + 11*k - 9. Let f(g) = g**3 + 2*g**2 - 11*g + 9. Let c(d) = 4*f(d) + 5*l(d). Give c(9).\n' | b'9\n' | b'Let l(k) = -k**3 + 11*k - 9. Let f(g) = g**3 + 2*g**2 - 11*g + 9. Let c(d) = 4*f(d) + 5*l(d). Give c(9).\n' | b'9\n' | deepmind/math_dataset |
b'Let b = 3285 + -3283. Solve -b*a = 2*n + 16, -9*n = -4*a - 10*n - 17 for a.\n' | b'-3\n' | b'Let b = 3285 + -3283. Solve -b*a = 2*n + 16, -9*n = -4*a - 10*n - 17 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence oa when two letters picked without replacement from wvaramo?\n' | b'1/21\n' | b'What is prob of sequence oa when two letters picked without replacement from wvaramo?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let l(p) = -p**2 + 8*p - 16. Let n be l(4). Solve n*r - 8 = r + 5*v, -4*r - 2*v + 4 = 0 for r.\n' | b'2\n' | b'Let l(p) = -p**2 + 8*p - 16. Let n be l(4). Solve n*r - 8 = r + 5*v, -4*r - 2*v + 4 = 0 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Let l = 385037/60 + -6417. Let h(i) be the third derivative of -6*i**2 + 0*i**3 + 0 + l*i**5 - 3/8*i**4 + 0*i. Find the second derivative of h(p) wrt p.\n' | b'34\n' | b'Let l = 385037/60 + -6417. Let h(i) be the third derivative of -6*i**2 + 0*i**3 + 0 + l*i**5 - 3/8*i**4 + 0*i. Find the second derivative of h(p) wrt p.\n' | b'34\n' | deepmind/math_dataset |
b'Let b be (1 - 0)*(5 - 2). What is the third derivative of 3*h**2 + h - h - 21*h**3 + 34*h**b wrt h?\n' | b'78\n' | b'Let b be (1 - 0)*(5 - 2). What is the third derivative of 3*h**2 + h - h - 21*h**3 + 34*h**b wrt h?\n' | b'78\n' | deepmind/math_dataset |
b'Let u(i) = 2*i**3 + i**2 - 2*i + 1. Let q(k) = k**2 - 6*k + 6. Let x be q(5). Let t be u(x). Let b(w) = -3 + w + t - 5*w + 3*w. What is b(-5)?\n' | b'4\n' | b'Let u(i) = 2*i**3 + i**2 - 2*i + 1. Let q(k) = k**2 - 6*k + 6. Let x be q(5). Let t be u(x). Let b(w) = -3 + w + t - 5*w + 3*w. What is b(-5)?\n' | b'4\n' | deepmind/math_dataset |
b'Let r(z) = -z**2 + 8*z - 7. Let k be r(6). Let d be (-1)/2*(-30)/k. Find the third derivative of o**3 + 0*o**d - 3*o**2 + 6*o**2 wrt o.\n' | b'6\n' | b'Let r(z) = -z**2 + 8*z - 7. Let k be r(6). Let d be (-1)/2*(-30)/k. Find the third derivative of o**3 + 0*o**d - 3*o**2 + 6*o**2 wrt o.\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -f = -2*f. Let z = -2 - f. Let k(p) = -p**3 - p**2 + 3*p + 2. Calculate k(z).\n' | b'0\n' | b'Suppose -f = -2*f. Let z = -2 - f. Let k(p) = -p**3 - p**2 + 3*p + 2. Calculate k(z).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmmrrmrrrmrmurmmmrrm. Give prob of sequence rmm.\n' | b'9/76\n' | b'Three letters picked without replacement from mmmrrmrrrmrmurmmmrrm. Give prob of sequence rmm.\n' | b'9/76\n' | deepmind/math_dataset |
b'Simplify (n**(2/35))**(-7/3)*((n/(n*n**(-9/8)*n))/n)/n**(-4) assuming n is positive.\n' | b'n**(359/120)\n' | b'Simplify (n**(2/35))**(-7/3)*((n/(n*n**(-9/8)*n))/n)/n**(-4) assuming n is positive.\n' | b'n**(359/120)\n' | deepmind/math_dataset |
b'Suppose 2*l + 10 = -5*r, -l + 2 = 3*r + 8. Let j be 1 - (-2 - -3)*-1. Suppose j*x = 7*x + 5*o - 30, 0 = o - 3. Solve l = -y + 5, -25 = -2*w - x*y for w.\n' | b'5\n' | b'Suppose 2*l + 10 = -5*r, -l + 2 = 3*r + 8. Let j be 1 - (-2 - -3)*-1. Suppose j*x = 7*x + 5*o - 30, 0 = o - 3. Solve l = -y + 5, -25 = -2*w - x*y for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(j) be the second derivative of -j**7/14 - 5*j**4/4 + 11*j**3/6 + 96*j. Find the second derivative of w(l) wrt l.\n' | b'-60*l**3 - 30\n' | b'Let w(j) be the second derivative of -j**7/14 - 5*j**4/4 + 11*j**3/6 + 96*j. Find the second derivative of w(l) wrt l.\n' | b'-60*l**3 - 30\n' | deepmind/math_dataset |
b'Simplify (((f**(1/4)*f)/f*f)**(-44)/(f**(1/3)*f*f)**(-2/13))/((f**(1/3))**(1/6))**5 assuming f is positive.\n' | b'f**(-12851/234)\n' | b'Simplify (((f**(1/4)*f)/f*f)**(-44)/(f**(1/3)*f*f)**(-2/13))/((f**(1/3))**(1/6))**5 assuming f is positive.\n' | b'f**(-12851/234)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, t: 2}. What is prob of picking 1 t and 2 u?\n' | b'1/2\n' | b'Three letters picked without replacement from {u: 2, t: 2}. What is prob of picking 1 t and 2 u?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let o(m) = -m**2 - 67*m - 190. Let q be o(-3). Solve 3 = -9*i + 14*i + f, -q*f = -i + 5 for i.\n' | b'1\n' | b'Let o(m) = -m**2 - 67*m - 190. Let q be o(-3). Solve 3 = -9*i + 14*i + f, -q*f = -i + 5 for i.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from esseses. Give prob of picking 3 s.\n' | b'4/35\n' | b'Three letters picked without replacement from esseses. Give prob of picking 3 s.\n' | b'4/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, k: 3, l: 2, w: 1, a: 2, i: 2}. Give prob of sequence kw.\n' | b'1/44\n' | b'Two letters picked without replacement from {x: 2, k: 3, l: 2, w: 1, a: 2, i: 2}. Give prob of sequence kw.\n' | b'1/44\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 9, n: 1, k: 1}. What is prob of picking 1 x, 1 n, and 1 k?\n' | b'3/55\n' | b'Three letters picked without replacement from {x: 9, n: 1, k: 1}. What is prob of picking 1 x, 1 n, and 1 k?\n' | b'3/55\n' | deepmind/math_dataset |
b'Suppose -218 = 2*c - 228. Solve 3*i = -5*y + 25, c + 12 = 3*i + y for i.\n' | b'5\n' | b'Suppose -218 = 2*c - 228. Solve 3*i = -5*y + 25, c + 12 = 3*i + y for i.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((t**(-3/4)*t*(t**(-3/4)*t)/t)**9)**(-43) assuming t is positive.\n' | b't**(387/2)\n' | b'Simplify ((t**(-3/4)*t*(t**(-3/4)*t)/t)**9)**(-43) assuming t is positive.\n' | b't**(387/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 4, c: 3, f: 1, p: 4, r: 2, g: 3}. What is prob of picking 2 f?\n' | b'0\n' | b'Two letters picked without replacement from {s: 4, c: 3, f: 1, p: 4, r: 2, g: 3}. What is prob of picking 2 f?\n' | b'0\n' | deepmind/math_dataset |
b'Let n(q) be the third derivative of -205*q**2 + 0*q + 7/6*q**3 + 0 - 1/6*q**4. Calculate n(5).\n' | b'-13\n' | b'Let n(q) be the third derivative of -205*q**2 + 0*q + 7/6*q**3 + 0 - 1/6*q**4. Calculate n(5).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqqquqqqqquuquqqqu. What is prob of picking 2 q?\n' | b'91/171\n' | b'Two letters picked without replacement from qqqqquqqqqquuquqqqu. What is prob of picking 2 q?\n' | b'91/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kirkikiikk. Give prob of sequence kki.\n' | b'1/9\n' | b'Three letters picked without replacement from kirkikiikk. Give prob of sequence kki.\n' | b'1/9\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 a when two letters picked without replacement from qaqaqaaaqaqqqqaaqqaq?\n' | b'99/190\n' | b'What is prob of picking 1 q and 1 a when two letters picked without replacement from qaqaqaaaqaqqqqaaqqaq?\n' | b'99/190\n' | deepmind/math_dataset |
b'Four letters picked without replacement from shgkkze. What is prob of sequence ksek?\n' | b'1/420\n' | b'Four letters picked without replacement from shgkkze. What is prob of sequence ksek?\n' | b'1/420\n' | deepmind/math_dataset |
b'Three letters picked without replacement from etevevttetve. Give prob of sequence eve.\n' | b'1/22\n' | b'Three letters picked without replacement from etevevttetve. Give prob of sequence eve.\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify ((s**(-2))**32/(s**(-6)*s*s**(-1/4)))**(12/11) assuming s is positive.\n' | b's**(-705/11)\n' | b'Simplify ((s**(-2))**32/(s**(-6)*s*s**(-1/4)))**(12/11) assuming s is positive.\n' | b's**(-705/11)\n' | deepmind/math_dataset |
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