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 a(w) = -93*w**3 - 4*w**2 + 6*w - 6. Let l(m) = 94*m**3 + 5*m**2 - 7*m + 7. Let v(t) = 7*a(t) + 6*l(t). What is the third derivative of v(z) wrt z?\n' | b'-522\n' | b'Let a(w) = -93*w**3 - 4*w**2 + 6*w - 6. Let l(m) = 94*m**3 + 5*m**2 - 7*m + 7. Let v(t) = 7*a(t) + 6*l(t). What is the third derivative of v(z) wrt z?\n' | b'-522\n' | deepmind/math_dataset |
b'Find the first derivative of 2038 - 7*u**2 - 13665*u + 6824*u + 6825*u wrt u.\n' | b'-14*u - 16\n' | b'Find the first derivative of 2038 - 7*u**2 - 13665*u + 6824*u + 6825*u wrt u.\n' | b'-14*u - 16\n' | deepmind/math_dataset |
b'Let j(b) = -b**2 - 3*b + 4. Let g be j(-4). Let k(a) = a + 30. Let v be k(g). Let l = v - 26. Let m(q) = q**3 - 5*q**2 + 4*q - 5. Give m(l).\n' | b'-5\n' | b'Let j(b) = -b**2 - 3*b + 4. Let g be j(-4). Let k(a) = a + 30. Let v be k(g). Let l = v - 26. Let m(q) = q**3 - 5*q**2 + 4*q - 5. Give m(l).\n' | b'-5\n' | deepmind/math_dataset |
b'Let b = -10 - -15. Let h(w) = -w**3 + 4*w**2 + 4*w + 7. Let y be h(b). Solve y*u - 10 = -4*j, -j - u + 17 = 4*j for j.\n' | b'4\n' | b'Let b = -10 - -15. Let h(w) = -w**3 + 4*w**2 + 4*w + 7. Let y be h(b). Solve y*u - 10 = -4*j, -j - u + 17 = 4*j for j.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence mgn when three letters picked without replacement from mmtmttgmng?\n' | b'1/90\n' | b'What is prob of sequence mgn when three letters picked without replacement from mmtmttgmng?\n' | b'1/90\n' | deepmind/math_dataset |
b'Simplify (j**2)**19/(j**(-2/7)/j*j)**14 assuming j is positive.\n' | b'j**42\n' | b'Simplify (j**2)**19/(j**(-2/7)/j*j)**14 assuming j is positive.\n' | b'j**42\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p, 1 e, and 1 b when three letters picked without replacement from {p: 3, e: 5, b: 7, m: 4}.\n' | b'35/323\n' | b'Calculate prob of picking 1 p, 1 e, and 1 b when three letters picked without replacement from {p: 3, e: 5, b: 7, m: 4}.\n' | b'35/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oooouoqszozzouzzo. Give prob of picking 2 z and 1 u.\n' | b'1/34\n' | b'Three letters picked without replacement from oooouoqszozzouzzo. Give prob of picking 2 z and 1 u.\n' | b'1/34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 3, v: 3, z: 1, m: 3, a: 8}. What is prob of sequence va?\n' | b'4/51\n' | b'Two letters picked without replacement from {k: 3, v: 3, z: 1, m: 3, a: 8}. What is prob of sequence va?\n' | b'4/51\n' | deepmind/math_dataset |
b'Let a(u) = u**2 - u - 4. Let m be a(3). Let c be m + (0 - -2)/2. Let g(n) = n**2 + n + 1. Let v(y) = -y**2 - 2*y - 1. Let b(t) = 3*g(t) + 2*v(t). What is b(c)?\n' | b'7\n' | b'Let a(u) = u**2 - u - 4. Let m be a(3). Let c be m + (0 - -2)/2. Let g(n) = n**2 + n + 1. Let v(y) = -y**2 - 2*y - 1. Let b(t) = 3*g(t) + 2*v(t). What is b(c)?\n' | b'7\n' | deepmind/math_dataset |
b'Let t(c) = 5*c - 7. Let u = 177 - 176. Let l(b) = -b + 2. Let g(o) = u*t(o) + 4*l(o). Let z(v) = v**3 + 2*v**2 + v - 1. Let x be z(-2). Determine g(x).\n' | b'-2\n' | b'Let t(c) = 5*c - 7. Let u = 177 - 176. Let l(b) = -b + 2. Let g(o) = u*t(o) + 4*l(o). Let z(v) = v**3 + 2*v**2 + v - 1. Let x be z(-2). Determine g(x).\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(d) be the third derivative of d**8/5040 + d**7/5040 - d**6/720 + d**5/60 + d**2. Let n(w) be the third derivative of j(w). Let u = -442 - -443. Give n(u).\n' | b'4\n' | b'Let j(d) be the third derivative of d**8/5040 + d**7/5040 - d**6/720 + d**5/60 + d**2. Let n(w) be the third derivative of j(w). Let u = -442 - -443. Give n(u).\n' | b'4\n' | deepmind/math_dataset |
b'Let r = -501 - -521. Solve -4*g - 5*j + 28 = 0, -g + 3*j = -5*g + r for g.\n' | b'2\n' | b'Let r = -501 - -521. Solve -4*g - 5*j + 28 = 0, -g + 3*j = -5*g + r for g.\n' | b'2\n' | deepmind/math_dataset |
b'What is the second derivative of -195 + 28*s**5 - 9*s + 195 + s wrt s?\n' | b'560*s**3\n' | b'What is the second derivative of -195 + 28*s**5 - 9*s + 195 + s wrt s?\n' | b'560*s**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrrrrorr. Give prob of sequence ro.\n' | b'1/8\n' | b'Two letters picked without replacement from rrrrrorr. Give prob of sequence ro.\n' | b'1/8\n' | deepmind/math_dataset |
b'Find the third derivative of 21*h**4 - 11*h**4 + 240*h**6 - 10*h**4 - 109*h**2 + 493*h**2 wrt h.\n' | b'28800*h**3\n' | b'Find the third derivative of 21*h**4 - 11*h**4 + 240*h**6 - 10*h**4 - 109*h**2 + 493*h**2 wrt h.\n' | b'28800*h**3\n' | deepmind/math_dataset |
b'Suppose -21*h = 7*h - 196. Let b(y) = y**2 - y - 32. Give b(h).\n' | b'10\n' | b'Suppose -21*h = 7*h - 196. Let b(y) = y**2 - y - 32. Give b(h).\n' | b'10\n' | deepmind/math_dataset |
b'Let u(o) = -o - 9. Let p = -89 + 123. Suppose -39 + p = -n. Suppose -2*y - 11 = n. Calculate u(y).\n' | b'-1\n' | b'Let u(o) = -o - 9. Let p = -89 + 123. Suppose -39 + p = -n. Suppose -2*y - 11 = n. Calculate u(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5 + 2 = -l. Solve -2 = 5*s + u - 17, -u = 2*s - l for s.\n' | b'4\n' | b'Suppose -5 + 2 = -l. Solve -2 = 5*s + u - 17, -u = 2*s - l for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(r) = -r**3 - 16*r**2 - 25*r + 2. Let t(m) = 2*m**2 - 105*m + 1012. Let f be t(13). Give j(f).\n' | b'152\n' | b'Let j(r) = -r**3 - 16*r**2 - 25*r + 2. Let t(m) = 2*m**2 - 105*m + 1012. Let f be t(13). Give j(f).\n' | b'152\n' | deepmind/math_dataset |
b'Calculate prob of sequence cmm when three letters picked without replacement from tmcttutbtcmmtqq.\n' | b'2/455\n' | b'Calculate prob of sequence cmm when three letters picked without replacement from tmcttutbtcmmtqq.\n' | b'2/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oowooooowww. What is prob of picking 2 o and 1 w?\n' | b'28/55\n' | b'Three letters picked without replacement from oowooooowww. What is prob of picking 2 o and 1 w?\n' | b'28/55\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 j when two letters picked without replacement from {d: 2, j: 7, x: 10, k: 1}?\n' | b'7/190\n' | b'What is prob of picking 1 k and 1 j when two letters picked without replacement from {d: 2, j: 7, x: 10, k: 1}?\n' | b'7/190\n' | deepmind/math_dataset |
b'Let a = 4081 + -4061. Let d be 3 - (1 - (-4)/2). Solve 0*z = -z - s + 5, d = 5*s - a for z.\n' | b'1\n' | b'Let a = 4081 + -4061. Let d be 3 - (1 - (-4)/2). Solve 0*z = -z - s + 5, d = 5*s - a for z.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from {p: 4, g: 6}.\n' | b'2/15\n' | b'Calculate prob of sequence pp when two letters picked without replacement from {p: 4, g: 6}.\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify (w**(2/9))**1*w**(3/5)*w/((w/w**(8/3)*w)/w*w) assuming w is positive.\n' | b'w**(112/45)\n' | b'Simplify (w**(2/9))**1*w**(3/5)*w/((w/w**(8/3)*w)/w*w) assuming w is positive.\n' | b'w**(112/45)\n' | deepmind/math_dataset |
b'Suppose -12*v - 250 = -2*v. Let l be (30/v)/(6/(-10)). Solve 9 + 11 = -5*t, -4*w + l*t = -16 for w.\n' | b'2\n' | b'Suppose -12*v - 250 = -2*v. Let l be (30/v)/(6/(-10)). Solve 9 + 11 = -5*t, -4*w + l*t = -16 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let n = -35 + 38. Find the third derivative of -5*w**2 - 3*w**5 - 4*w**5 - 50*w**n + 50*w**3 wrt w.\n' | b'-420*w**2\n' | b'Let n = -35 + 38. Find the third derivative of -5*w**2 - 3*w**5 - 4*w**5 - 50*w**n + 50*w**3 wrt w.\n' | b'-420*w**2\n' | deepmind/math_dataset |
b'Let s(b) = -4*b - 39. Let t(d) = -d**3 - 14*d**2 - 24*d - 10. Let w be t(-12). Let m be s(w). Solve 9 = -3*c + 3*a, -m = 2*c - 5*a + 2 for c.\n' | b'-4\n' | b'Let s(b) = -4*b - 39. Let t(d) = -d**3 - 14*d**2 - 24*d - 10. Let w be t(-12). Let m be s(w). Solve 9 = -3*c + 3*a, -m = 2*c - 5*a + 2 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b = 52 - 47. Solve 7*c - 3*q + 18 = 11*c, 4*c = -b*q + 22 for c.\n' | b'3\n' | b'Let b = 52 - 47. Solve 7*c - 3*q + 18 = 11*c, 4*c = -b*q + 22 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let l = -160 + 162. Solve -2 = 4*h - 4*p + l, 11 = -2*h + 5*p for h.\n' | b'2\n' | b'Let l = -160 + 162. Solve -2 = 4*h - 4*p + l, 11 = -2*h + 5*p for h.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 3, i: 2, h: 2, t: 3, m: 1, g: 1}. What is prob of picking 1 m, 2 h, and 1 i?\n' | b'2/495\n' | b'Four letters picked without replacement from {a: 3, i: 2, h: 2, t: 3, m: 1, g: 1}. What is prob of picking 1 m, 2 h, and 1 i?\n' | b'2/495\n' | deepmind/math_dataset |
b'Calculate prob of sequence vfvv when four letters picked without replacement from {f: 1, m: 8, v: 6}.\n' | b'1/273\n' | b'Calculate prob of sequence vfvv when four letters picked without replacement from {f: 1, m: 8, v: 6}.\n' | b'1/273\n' | deepmind/math_dataset |
b'Let h(m) = -m**3 + 6*m**2 + 8*m - 7. Let w be h(7). Let r be 2/(-4)*6/(-1). Find the third derivative of w*s**6 + 2*s**6 + s**2 - r*s**6 wrt s.\n' | b'-120*s**3\n' | b'Let h(m) = -m**3 + 6*m**2 + 8*m - 7. Let w be h(7). Let r be 2/(-4)*6/(-1). Find the third derivative of w*s**6 + 2*s**6 + s**2 - r*s**6 wrt s.\n' | b'-120*s**3\n' | deepmind/math_dataset |
b'Let y(q) be the second derivative of -189*q**5/10 + 7*q**4/12 - 17*q**3/6 + 459*q. What is the third derivative of y(x) wrt x?\n' | b'-2268\n' | b'Let y(q) be the second derivative of -189*q**5/10 + 7*q**4/12 - 17*q**3/6 + 459*q. What is the third derivative of y(x) wrt x?\n' | b'-2268\n' | deepmind/math_dataset |
b'Suppose -7*h - 5*o = -9*h + 20, -o = -2*h + 4. Solve h = 2*s - d - 0*d - 15, -25 = -s + 4*d for s.\n' | b'5\n' | b'Suppose -7*h - 5*o = -9*h + 20, -o = -2*h + 4. Solve h = 2*s - d - 0*d - 15, -25 = -s + 4*d for s.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, k: 3, v: 5}. What is prob of picking 3 k?\n' | b'1/165\n' | b'Three letters picked without replacement from {f: 3, k: 3, v: 5}. What is prob of picking 3 k?\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify (y**17*y/y**5)/(y**(-2/19)/y**(3/11)) assuming y is positive.\n' | b'y**(2796/209)\n' | b'Simplify (y**17*y/y**5)/(y**(-2/19)/y**(3/11)) assuming y is positive.\n' | b'y**(2796/209)\n' | deepmind/math_dataset |
b'Simplify (((h*h/(h/h**(-6)))/(h/(h**6/h)))**(9/10))**(-1) assuming h is positive.\n' | b'h**(9/10)\n' | b'Simplify (((h*h/(h/h**(-6)))/(h/(h**6/h)))**(9/10))**(-1) assuming h is positive.\n' | b'h**(9/10)\n' | deepmind/math_dataset |
b'Suppose -5 = -2*n - 5*b, 11 = 3*n + b - 16. Suppose -i - 2*g = -20, -2*i = 5*g + n - 52. Solve -3*q = 4*s + 12, -4*s = 4*q - s + i for q.\n' | b'-4\n' | b'Suppose -5 = -2*n - 5*b, 11 = 3*n + b - 16. Suppose -i - 2*g = -20, -2*i = 5*g + n - 52. Solve -3*q = 4*s + 12, -4*s = 4*q - s + i for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(d) = -60*d**2 - 95*d - 3. Let l(a) = -19*a**2 - 30*a - 1. Let y(w) = 19*l(w) - 6*u(w). Determine y(-3).\n' | b'-10\n' | b'Let u(d) = -60*d**2 - 95*d - 3. Let l(a) = -19*a**2 - 30*a - 1. Let y(w) = 19*l(w) - 6*u(w). Determine y(-3).\n' | b'-10\n' | deepmind/math_dataset |
b'Let u(g) be the third derivative of 0*g**4 + 98*g**2 + 0*g + 3/10*g**5 + 9*g**3 + 0. What is the derivative of u(y) wrt y?\n' | b'36*y\n' | b'Let u(g) be the third derivative of 0*g**4 + 98*g**2 + 0*g + 3/10*g**5 + 9*g**3 + 0. What is the derivative of u(y) wrt y?\n' | b'36*y\n' | deepmind/math_dataset |
b'Calculate prob of sequence hh when two letters picked without replacement from {h: 7, m: 2, g: 7, i: 3}.\n' | b'7/57\n' | b'Calculate prob of sequence hh when two letters picked without replacement from {h: 7, m: 2, g: 7, i: 3}.\n' | b'7/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, a: 4, b: 3, d: 1}. What is prob of sequence aa?\n' | b'6/55\n' | b'Two letters picked without replacement from {y: 3, a: 4, b: 3, d: 1}. What is prob of sequence aa?\n' | b'6/55\n' | deepmind/math_dataset |
b'Let m(n) = -2*n**4 + 7*n**3 - 7*n**2 - 6*n - 7. Let j(g) = g**3 - g**2 - g - 1. Let a(u) = -21*j(u) + 3*m(u). Find the second derivative of a(v) wrt v.\n' | b'-72*v**2\n' | b'Let m(n) = -2*n**4 + 7*n**3 - 7*n**2 - 6*n - 7. Let j(g) = g**3 - g**2 - g - 1. Let a(u) = -21*j(u) + 3*m(u). Find the second derivative of a(v) wrt v.\n' | b'-72*v**2\n' | deepmind/math_dataset |
b'Simplify ((d**(-4/7)/d)/(d/d**8)*(d*d*(d*d*d**(2/5)/d)/d*d)/(d*d**(-26)))**(-23) assuming d is positive.\n' | b'd**(-27232/35)\n' | b'Simplify ((d**(-4/7)/d)/(d/d**8)*(d*d*(d*d*d**(2/5)/d)/d*d)/(d*d**(-26)))**(-23) assuming d is positive.\n' | b'd**(-27232/35)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {c: 5, i: 3}. What is prob of sequence ccii?\n' | b'1/14\n' | b'Four letters picked without replacement from {c: 5, i: 3}. What is prob of sequence ccii?\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, e: 1, p: 13, d: 5}. Give prob of sequence ppp.\n' | b'143/570\n' | b'Three letters picked without replacement from {j: 1, e: 1, p: 13, d: 5}. Give prob of sequence ppp.\n' | b'143/570\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eidpeeieeiipqieeeei. What is prob of picking 2 i?\n' | b'5/57\n' | b'Two letters picked without replacement from eidpeeieeiipqieeeei. What is prob of picking 2 i?\n' | b'5/57\n' | deepmind/math_dataset |
b'Let c(l) = -l**3 + 26*l**2 - 51*l + 58. Let a be c(24). Let p be 4/a + (-1410)/(-329). Solve 2*s - v = 4, -p*v + 32 = 5*s - v for s.\n' | b'4\n' | b'Let c(l) = -l**3 + 26*l**2 - 51*l + 58. Let a be c(24). Let p be 4/a + (-1410)/(-329). Solve 2*s - v = 4, -p*v + 32 = 5*s - v for s.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ctctttwtcttwctctctt. Give prob of picking 3 c and 1 t.\n' | b'55/969\n' | b'Four letters picked without replacement from ctctttwtcttwctctctt. Give prob of picking 3 c and 1 t.\n' | b'55/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuuuuuuuu. Give prob of sequence uuu.\n' | b'1\n' | b'Three letters picked without replacement from uuuuuuuuu. Give prob of sequence uuu.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence kcti when four letters picked without replacement from {k: 1, t: 2, i: 3, q: 1, c: 1, j: 3}.\n' | b'1/1320\n' | b'Calculate prob of sequence kcti when four letters picked without replacement from {k: 1, t: 2, i: 3, q: 1, c: 1, j: 3}.\n' | b'1/1320\n' | deepmind/math_dataset |
b'What is prob of sequence vn when two letters picked without replacement from nvn?\n' | b'1/3\n' | b'What is prob of sequence vn when two letters picked without replacement from nvn?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of sequence qbb when three letters picked without replacement from {b: 3, q: 1, m: 4}?\n' | b'1/56\n' | b'What is prob of sequence qbb when three letters picked without replacement from {b: 3, q: 1, m: 4}?\n' | b'1/56\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, p: 3, n: 5, y: 7, b: 2}. What is prob of sequence bp?\n' | b'1/51\n' | b'Two letters picked without replacement from {f: 1, p: 3, n: 5, y: 7, b: 2}. What is prob of sequence bp?\n' | b'1/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from snssnsssss. Give prob of picking 2 s and 1 n.\n' | b'7/15\n' | b'Three letters picked without replacement from snssnsssss. Give prob of picking 2 s and 1 n.\n' | b'7/15\n' | deepmind/math_dataset |
b'Let o(b) = -34*b + 80*b - 23*b - 25*b - 5. Give o(-5).\n' | b'5\n' | b'Let o(b) = -34*b + 80*b - 23*b - 25*b - 5. Give o(-5).\n' | b'5\n' | deepmind/math_dataset |
b'Let c(u) be the third derivative of u**4/12 + u**3/3 - 43*u**2. Determine c(-2).\n' | b'-2\n' | b'Let c(u) be the third derivative of u**4/12 + u**3/3 - 43*u**2. Determine c(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, e: 5}. Give prob of sequence ee.\n' | b'5/14\n' | b'Two letters picked without replacement from {n: 3, e: 5}. Give prob of sequence ee.\n' | b'5/14\n' | deepmind/math_dataset |
b'Let o be 6*(-2)/(-16)*4. What is the derivative of 0*s**3 + 8 - 2*s**3 - o*s**3 wrt s?\n' | b'-15*s**2\n' | b'Let o be 6*(-2)/(-16)*4. What is the derivative of 0*s**3 + 8 - 2*s**3 - o*s**3 wrt s?\n' | b'-15*s**2\n' | deepmind/math_dataset |
b'Let b(q) = q - 4. Let x be b(7). Find the third derivative of -10*k**4 + 6*k**2 - x*k**3 + 3*k**3 - 17*k**2 wrt k.\n' | b'-240*k\n' | b'Let b(q) = q - 4. Let x be b(7). Find the third derivative of -10*k**4 + 6*k**2 - x*k**3 + 3*k**3 - 17*k**2 wrt k.\n' | b'-240*k\n' | deepmind/math_dataset |
b'Let a(w) be the third derivative of -w**7/42 - w**6/120 - w**5/20 + 13*w**4/12 - w**2 - 2*w. Find the third derivative of a(r) wrt r.\n' | b'-120*r - 6\n' | b'Let a(w) be the third derivative of -w**7/42 - w**6/120 - w**5/20 + 13*w**4/12 - w**2 - 2*w. Find the third derivative of a(r) wrt r.\n' | b'-120*r - 6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 4, z: 15}. What is prob of picking 3 m?\n' | b'4/969\n' | b'Three letters picked without replacement from {m: 4, z: 15}. What is prob of picking 3 m?\n' | b'4/969\n' | deepmind/math_dataset |
b'Simplify (o*o**40*o*o)/(o/o**(-13/3)) assuming o is positive.\n' | b'o**(113/3)\n' | b'Simplify (o*o**40*o*o)/(o/o**(-13/3)) assuming o is positive.\n' | b'o**(113/3)\n' | deepmind/math_dataset |
b'Calculate prob of sequence uzqn when four letters picked without replacement from {u: 1, w: 1, n: 2, z: 1, a: 2, q: 1}.\n' | b'1/840\n' | b'Calculate prob of sequence uzqn when four letters picked without replacement from {u: 1, w: 1, n: 2, z: 1, a: 2, q: 1}.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let o(j) = -6*j + 12. Let u(h) = -5*h + 11. Let r(l) = -6*o(l) + 7*u(l). Suppose -3*s + 1 = 13. Let i be 5 - 5 - s/(-1). Calculate r(i).\n' | b'1\n' | b'Let o(j) = -6*j + 12. Let u(h) = -5*h + 11. Let r(l) = -6*o(l) + 7*u(l). Suppose -3*s + 1 = 13. Let i be 5 - 5 - s/(-1). Calculate r(i).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from odooaaaaqdaqqqdoqoqd. Give prob of picking 1 a and 3 q.\n' | b'20/969\n' | b'Four letters picked without replacement from odooaaaaqdaqqqdoqoqd. Give prob of picking 1 a and 3 q.\n' | b'20/969\n' | deepmind/math_dataset |
b'Let o(m) be the first derivative of m**4/4 + 2*m**3 + 5*m**2/2 + 2*m - 2. Give o(-4).\n' | b'14\n' | b'Let o(m) be the first derivative of m**4/4 + 2*m**3 + 5*m**2/2 + 2*m - 2. Give o(-4).\n' | b'14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 4, i: 3, c: 6, r: 2}. Give prob of picking 2 c.\n' | b'1/7\n' | b'Two letters picked without replacement from {q: 4, i: 3, c: 6, r: 2}. Give prob of picking 2 c.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let x(h) = h**2 - h - 44. Let u(n) = -n**2 + 34*n - 257. Let m be u(12). Give x(m).\n' | b'-2\n' | b'Let x(h) = h**2 - h - 44. Let u(n) = -n**2 + 34*n - 257. Let m be u(12). Give x(m).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 1 e, and 1 p when three letters picked without replacement from {e: 3, u: 4, w: 5, p: 1}.\n' | b'15/286\n' | b'Calculate prob of picking 1 w, 1 e, and 1 p when three letters picked without replacement from {e: 3, u: 4, w: 5, p: 1}.\n' | b'15/286\n' | deepmind/math_dataset |
b'Simplify (w**(-9)/w**(6/5)*(w**(-3/2))**25)**(-42) assuming w is positive.\n' | b'w**(10017/5)\n' | b'Simplify (w**(-9)/w**(6/5)*(w**(-3/2))**25)**(-42) assuming w is positive.\n' | b'w**(10017/5)\n' | deepmind/math_dataset |
b'Let d(h) = h**3 - h**2 + h - 4. Let p be d(2). Solve 2*b = 3*i + p, -5*b - 8 = -b for i.\n' | b'-2\n' | b'Let d(h) = h**3 - h**2 + h - 4. Let p be d(2). Solve 2*b = 3*i + p, -5*b - 8 = -b for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v, 1 g, and 1 i when three letters picked without replacement from vivig.\n' | b'2/5\n' | b'Calculate prob of picking 1 v, 1 g, and 1 i when three letters picked without replacement from vivig.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify (u/((u**21*u*u)/u))/(u**(-1/17)/u) assuming u is positive.\n' | b'u**(-339/17)\n' | b'Simplify (u/((u**21*u*u)/u))/(u**(-1/17)/u) assuming u is positive.\n' | b'u**(-339/17)\n' | deepmind/math_dataset |
b'Let j(z) = 5*z + 1. Suppose 2*y - 3 = 3*m + 101, -2*m = 5*y + 44. Let g = m + 31. Calculate j(g).\n' | b'-4\n' | b'Let j(z) = 5*z + 1. Suppose 2*y - 3 = 3*m + 101, -2*m = 5*y + 44. Let g = m + 31. Calculate j(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 236*s = 245*s - 45. Let b(h) = 5 + h - 5*h + h. Calculate b(s).\n' | b'-10\n' | b'Suppose 236*s = 245*s - 45. Let b(h) = 5 + h - 5*h + h. Calculate b(s).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify h/(h**(-8)/h*h*h)*h*h**3/h*(h**(1/2))**(1/24) assuming h is positive.\n' | b'h**(529/48)\n' | b'Simplify h/(h**(-8)/h*h*h)*h*h**3/h*(h**(1/2))**(1/24) assuming h is positive.\n' | b'h**(529/48)\n' | deepmind/math_dataset |
b'Suppose -4*p = -2*y - 2*p, 5*y = 2*p + 3. Suppose 5 = 3*v - y. Let s(f) = 3*f**2 - f - 2. What is s(v)?\n' | b'8\n' | b'Suppose -4*p = -2*y - 2*p, 5*y = 2*p + 3. Suppose 5 = 3*v - y. Let s(f) = 3*f**2 - f - 2. What is s(v)?\n' | b'8\n' | deepmind/math_dataset |
b'Simplify l**(1/18)*l**3/l*l**(-9)*l/l**0 assuming l is positive.\n' | b'l**(-107/18)\n' | b'Simplify l**(1/18)*l**3/l*l**(-9)*l/l**0 assuming l is positive.\n' | b'l**(-107/18)\n' | deepmind/math_dataset |
b'Let b = 21 + -19. What is the second derivative of -4*p**b + 2*p**2 - 3*p**2 - 7*p wrt p?\n' | b'-10\n' | b'Let b = 21 + -19. What is the second derivative of -4*p**b + 2*p**2 - 3*p**2 - 7*p wrt p?\n' | b'-10\n' | deepmind/math_dataset |
b'Let w(k) be the third derivative of -k**9/126 - k**5/60 - 2*k**2. What is the third derivative of w(x) wrt x?\n' | b'-480*x**3\n' | b'Let w(k) be the third derivative of -k**9/126 - k**5/60 - 2*k**2. What is the third derivative of w(x) wrt x?\n' | b'-480*x**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xddxtgddl. Give prob of sequence dgxg.\n' | b'0\n' | b'Four letters picked without replacement from xddxtgddl. Give prob of sequence dgxg.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence xx when two letters picked without replacement from {w: 1, r: 1, x: 4, u: 2}.\n' | b'3/14\n' | b'Calculate prob of sequence xx when two letters picked without replacement from {w: 1, r: 1, x: 4, u: 2}.\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify (c/(c/(c/(c/(c*c/((c/c**(2/11)*c*c)/c*c))*c)*c))*c**1*c**(1/4)*c*c*c**(-4))/(c**0/(c**(-2)/c))**(-47) assuming c is positive.\n' | b'c**(6135/44)\n' | b'Simplify (c/(c/(c/(c/(c*c/((c/c**(2/11)*c*c)/c*c))*c)*c))*c**1*c**(1/4)*c*c*c**(-4))/(c**0/(c**(-2)/c))**(-47) assuming c is positive.\n' | b'c**(6135/44)\n' | deepmind/math_dataset |
b'What is the third derivative of -3 + 3 - 221*c**2 + 69*c**2 + 411*c**3 - 44*c**2 wrt c?\n' | b'2466\n' | b'What is the third derivative of -3 + 3 - 221*c**2 + 69*c**2 + 411*c**3 - 44*c**2 wrt c?\n' | b'2466\n' | deepmind/math_dataset |
b'Let k be 3 - (2 - -138)/(-4). Let w = k - 34. Suppose -10 = -6*a + w*a. Solve 3*z - 5*z - 24 = a*i, -5*z - i = 14 for z.\n' | b'-2\n' | b'Let k be 3 - (2 - -138)/(-4). Let w = k - 34. Suppose -10 = -6*a + w*a. Solve 3*z - 5*z - 24 = a*i, -5*z - i = 14 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(f) = -33*f**3 - 13*f**2 + 8*f + 8. Let t(l) = -11*l**3 - 4*l**2 + 3*l + 3. Let u(y) = 3*d(y) - 8*t(y). What is the third derivative of u(r) wrt r?\n' | b'-66\n' | b'Let d(f) = -33*f**3 - 13*f**2 + 8*f + 8. Let t(l) = -11*l**3 - 4*l**2 + 3*l + 3. Let u(y) = 3*d(y) - 8*t(y). What is the third derivative of u(r) wrt r?\n' | b'-66\n' | deepmind/math_dataset |
b'Let y(k) = -7*k**3 - k**2 + k + 1. Let a be y(-1). Suppose 0*b = 4*l + 2*b + 20, 0 = 3*b + a. Let d(m) = -m**3 - 5*m**2 - 4*m + 2. Determine d(l).\n' | b'2\n' | b'Let y(k) = -7*k**3 - k**2 + k + 1. Let a be y(-1). Suppose 0*b = 4*l + 2*b + 20, 0 = 3*b + a. Let d(m) = -m**3 - 5*m**2 - 4*m + 2. Determine d(l).\n' | b'2\n' | deepmind/math_dataset |
b'Let m be (0 + -4)/(-6 - -4). Solve -i + 17 = 3*n, 4*i + 14 = 4*n + m for i.\n' | b'2\n' | b'Let m be (0 + -4)/(-6 - -4). Solve -i + 17 = 3*n, 4*i + 14 = 4*n + m for i.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence mhp when three letters picked without replacement from {n: 1, h: 4, f: 1, p: 1, m: 6}.\n' | b'2/143\n' | b'Calculate prob of sequence mhp when three letters picked without replacement from {n: 1, h: 4, f: 1, p: 1, m: 6}.\n' | b'2/143\n' | deepmind/math_dataset |
b'Let m = -29469 + 29473. Solve -16 = m*t + 2*i, 0 = -20*i + 18*i - 4 for t.\n' | b'-3\n' | b'Let m = -29469 + 29473. Solve -16 = m*t + 2*i, 0 = -20*i + 18*i - 4 for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gbbbbpsspsgb. Give prob of picking 1 g and 1 p.\n' | b'2/33\n' | b'Two letters picked without replacement from gbbbbpsspsgb. Give prob of picking 1 g and 1 p.\n' | b'2/33\n' | deepmind/math_dataset |
b'Let p(i) be the first derivative of -21*i**2 - 1. Suppose -8*m = 80, -5*r - 181*m = -185*m - 45. Calculate p(r).\n' | b'-42\n' | b'Let p(i) be the first derivative of -21*i**2 - 1. Suppose -8*m = 80, -5*r - 181*m = -185*m - 45. Calculate p(r).\n' | b'-42\n' | deepmind/math_dataset |
b'What is prob of sequence dd when two letters picked without replacement from dpldpdkldrpdlrdr?\n' | b'1/8\n' | b'What is prob of sequence dd when two letters picked without replacement from dpldpdkldrpdlrdr?\n' | b'1/8\n' | deepmind/math_dataset |
b'Let i(p) be the first derivative of -14 + 0*p**4 + 0*p - 44*p**2 - 2/5*p**5 - 3*p**3. What is the second derivative of i(t) wrt t?\n' | b'-24*t**2 - 18\n' | b'Let i(p) be the first derivative of -14 + 0*p**4 + 0*p - 44*p**2 - 2/5*p**5 - 3*p**3. What is the second derivative of i(t) wrt t?\n' | b'-24*t**2 - 18\n' | deepmind/math_dataset |
b'Let m(f) = -9*f**2 + 224*f + 30. Let w be m(25). Solve -2*q = -2*k, -w*k + 8 + 0 = -3*q for k.\n' | b'4\n' | b'Let m(f) = -9*f**2 + 224*f + 30. Let w be m(25). Solve -2*q = -2*k, -w*k + 8 + 0 = -3*q for k.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (q**3/q**(-4/7))/((q*q**(6/5))/q*q*q**(-3)*q)*((q*(q**(-2)*q)/q)/q**(-2/3))/(q/q**(-3/5)*q*q**(-1/6)) assuming q is positive.\n' | b'q**(127/210)\n' | b'Simplify (q**3/q**(-4/7))/((q*q**(6/5))/q*q*q**(-3)*q)*((q*(q**(-2)*q)/q)/q**(-2/3))/(q/q**(-3/5)*q*q**(-1/6)) assuming q is positive.\n' | b'q**(127/210)\n' | deepmind/math_dataset |
b'Let b(t) = -t - 44. Let w(s) = -7*s**3 - 260*s**2 - 34*s + 111. Let u be w(-37). Determine b(u).\n' | b'-44\n' | b'Let b(t) = -t - 44. Let w(s) = -7*s**3 - 260*s**2 - 34*s + 111. Let u be w(-37). Determine b(u).\n' | b'-44\n' | deepmind/math_dataset |
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