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'Simplify ((i/(i/((i/(i/i**6*i)*i)/i))*i)/(i/((i/(i**(2/15)*i))/i)))**(3/29)/(i*(i/i**(1/3))/i*i**(4/7))**(-5) assuming i is positive.\n' | b'i**(692/105)\n' | b'Simplify ((i/(i/((i/(i/i**6*i)*i)/i))*i)/(i/((i/(i**(2/15)*i))/i)))**(3/29)/(i*(i/i**(1/3))/i*i**(4/7))**(-5) assuming i is positive.\n' | b'i**(692/105)\n' | deepmind/math_dataset |
b'Let z(n) = 2*n**2 - 1. Suppose -24 = -3*t - t + 3*q, 14 = 2*t - 2*q. Suppose l = -t + 4. Give z(l).\n' | b'1\n' | b'Let z(n) = 2*n**2 - 1. Suppose -24 = -3*t - t + 3*q, 14 = 2*t - 2*q. Suppose l = -t + 4. Give z(l).\n' | b'1\n' | deepmind/math_dataset |
b'Let a(f) = -3 + 22 - 2 + 7*f. Let m be a(-3). Let l(x) = -x**2 + 7. Calculate l(m).\n' | b'-9\n' | b'Let a(f) = -3 + 22 - 2 + 7*f. Let m be a(-3). Let l(x) = -x**2 + 7. Calculate l(m).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of sequence ssj when three letters picked without replacement from {j: 5, s: 8}?\n' | b'70/429\n' | b'What is prob of sequence ssj when three letters picked without replacement from {j: 5, s: 8}?\n' | b'70/429\n' | deepmind/math_dataset |
b'Simplify (c/((c/(c**(3/19)/c))/c*c))/(c/(c**23/c))*c/(c/(c/c**26)*c)*c**(-4)/c assuming c is positive.\n' | b'c**(-206/19)\n' | b'Simplify (c/((c/(c**(3/19)/c))/c*c))/(c/(c**23/c))*c/(c/(c/c**26)*c)*c**(-4)/c assuming c is positive.\n' | b'c**(-206/19)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from qsekeseqkss.\n' | b'3/55\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from qsekeseqkss.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let p = -302 + 316. Suppose 0 = -p*t + 50*t - 108. Solve 4 = 5*f - 1, x - 3*f + t = 0 for x.\n' | b'0\n' | b'Let p = -302 + 316. Suppose 0 = -p*t + 50*t - 108. Solve 4 = 5*f - 1, x - 3*f + t = 0 for x.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify b**(-34)*b**39 assuming b is positive.\n' | b'b**5\n' | b'Simplify b**(-34)*b**39 assuming b is positive.\n' | b'b**5\n' | deepmind/math_dataset |
b'Let a be (-969)/(-306) + (-4)/24. Solve 3 = a*c, -5*t - 7 = 5*c + 13 for t.\n' | b'-5\n' | b'Let a be (-969)/(-306) + (-4)/24. Solve 3 = a*c, -5*t - 7 = 5*c + 13 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(u) be the third derivative of -3*u**8/28 + u**5/20 - u**3/2 + 40*u**2. Find the third derivative of t(v) wrt v.\n' | b'-2160*v**2\n' | b'Let t(u) be the third derivative of -3*u**8/28 + u**5/20 - u**3/2 + 40*u**2. Find the third derivative of t(v) wrt v.\n' | b'-2160*v**2\n' | deepmind/math_dataset |
b'Let k(t) be the second derivative of -t**8/1680 + t**5/60 - t**3/6 - 2*t. Let i(z) be the second derivative of k(z). Find the second derivative of i(v) wrt v.\n' | b'-12*v**2\n' | b'Let k(t) be the second derivative of -t**8/1680 + t**5/60 - t**3/6 - 2*t. Let i(z) be the second derivative of k(z). Find the second derivative of i(v) wrt v.\n' | b'-12*v**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cxnccnccczzkcczcekxc. Give prob of sequence kk.\n' | b'1/190\n' | b'Two letters picked without replacement from cxnccnccczzkcczcekxc. Give prob of sequence kk.\n' | b'1/190\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x and 2 k when four letters picked without replacement from kjkkkkkljlkxjxjxxx.\n' | b'7/102\n' | b'Calculate prob of picking 2 x and 2 k when four letters picked without replacement from kjkkkkkljlkxjxjxxx.\n' | b'7/102\n' | deepmind/math_dataset |
b'Simplify ((p*p**(-5))/((p/p**(1/11))/p))**(-19)*((p*p/(p*p/p**(-1/5)*p*p)*p)**(-33))**32 assuming p is positive.\n' | b'p**(73781/55)\n' | b'Simplify ((p*p**(-5))/((p/p**(1/11))/p))**(-19)*((p*p/(p*p/p**(-1/5)*p*p)*p)**(-33))**32 assuming p is positive.\n' | b'p**(73781/55)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 3, k: 8, b: 6}. Give prob of sequence kgkb.\n' | b'3/170\n' | b'Four letters picked without replacement from {g: 3, k: 8, b: 6}. Give prob of sequence kgkb.\n' | b'3/170\n' | deepmind/math_dataset |
b'Calculate prob of sequence bp when two letters picked without replacement from {z: 6, p: 1, y: 2, e: 3, b: 2}.\n' | b'1/91\n' | b'Calculate prob of sequence bp when two letters picked without replacement from {z: 6, p: 1, y: 2, e: 3, b: 2}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify ((d**(2/3))**(25/3)*d*d*d*d**4*d*d**(1/6))/((d*d*d**0*d)**16)**(-27) assuming d is positive.\n' | b'd**(23575/18)\n' | b'Simplify ((d**(2/3))**(25/3)*d*d*d*d**4*d*d**(1/6))/((d*d*d**0*d)**16)**(-27) assuming d is positive.\n' | b'd**(23575/18)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvbvbvv. What is prob of sequence vb?\n' | b'3/14\n' | b'Two letters picked without replacement from vvvbvbvv. What is prob of sequence vb?\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of picking 4 e when four letters picked without replacement from {e: 5, f: 3}?\n' | b'1/14\n' | b'What is prob of picking 4 e when four letters picked without replacement from {e: 5, f: 3}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let g(d) = 3*d - 7. Suppose r + 0 - 3 = 0. Let s be g(r). Solve -5*o - 21 = s*v, 21 = -3*v - 2*o - 2*o for v.\n' | b'-3\n' | b'Let g(d) = 3*d - 7. Suppose r + 0 - 3 = 0. Let s be g(r). Solve -5*o - 21 = s*v, 21 = -3*v - 2*o - 2*o for v.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from {b: 3, n: 3, z: 1, o: 2, q: 9}?\n' | b'0\n' | b'What is prob of sequence zz when two letters picked without replacement from {b: 3, n: 3, z: 1, o: 2, q: 9}?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 c when three letters picked without replacement from {g: 5, c: 11}.\n' | b'33/112\n' | b'Calculate prob of picking 3 c when three letters picked without replacement from {g: 5, c: 11}.\n' | b'33/112\n' | deepmind/math_dataset |
b'Suppose 86 + 119 - 53 = 38*o. Solve -4*k - 11 = -0*k - c, o*c + 28 = -2*k for k.\n' | b'-4\n' | b'Suppose 86 + 119 - 53 = 38*o. Solve -4*k - 11 = -0*k - c, o*c + 28 = -2*k for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 7, n: 2, z: 9}. Give prob of sequence nzz.\n' | b'1/34\n' | b'Three letters picked without replacement from {d: 7, n: 2, z: 9}. Give prob of sequence nzz.\n' | b'1/34\n' | deepmind/math_dataset |
b'Simplify (o**(-3/11)/((o**(-7)/o)/o))/(o**20/(o*o**(-22)*o)) assuming o is positive.\n' | b'o**(-344/11)\n' | b'Simplify (o**(-3/11)/((o**(-7)/o)/o))/(o**20/(o*o**(-22)*o)) assuming o is positive.\n' | b'o**(-344/11)\n' | deepmind/math_dataset |
b'Let q(g) be the first derivative of 112*g**2 - 67*g + 390. What is the derivative of q(h) wrt h?\n' | b'224\n' | b'Let q(g) be the first derivative of 112*g**2 - 67*g + 390. What is the derivative of q(h) wrt h?\n' | b'224\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 1, k: 3, h: 1, m: 1, f: 1}. Give prob of picking 1 h, 1 f, 1 k, and 1 p.\n' | b'3/35\n' | b'Four letters picked without replacement from {p: 1, k: 3, h: 1, m: 1, f: 1}. Give prob of picking 1 h, 1 f, 1 k, and 1 p.\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify (c/c**(2/19))/((c/c**14)/c) assuming c is positive.\n' | b'c**(283/19)\n' | b'Simplify (c/c**(2/19))/((c/c**14)/c) assuming c is positive.\n' | b'c**(283/19)\n' | deepmind/math_dataset |
b'Simplify (((y/y**6)/y**(-1)*(y**(-2/25)/y)/(y*y*y/y**(3/5)))**32)**(-40) assuming y is positive.\n' | b'y**(47872/5)\n' | b'Simplify (((y/y**6)/y**(-1)*(y**(-2/25)/y)/(y*y*y/y**(3/5)))**32)**(-40) assuming y is positive.\n' | b'y**(47872/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from atxt. What is prob of picking 2 t?\n' | b'1/6\n' | b'Two letters picked without replacement from atxt. What is prob of picking 2 t?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((m/((m*(m**(-4)/m)/m)/m))/(m**(-8/3)*m))**8 assuming m is positive.\n' | b'm**(208/3)\n' | b'Simplify ((m/((m*(m**(-4)/m)/m)/m))/(m**(-8/3)*m))**8 assuming m is positive.\n' | b'm**(208/3)\n' | deepmind/math_dataset |
b'Let h(o) = 459*o + 10 + 14*o**2 - 13*o**2 - 466*o. Let k(z) = -z + 1. Let j be k(-4). Let u be h(j). Solve -2*r - 5*s - 9 = u, 0 = 2*r + s - 0*s - 3 for r.\n' | b'3\n' | b'Let h(o) = 459*o + 10 + 14*o**2 - 13*o**2 - 466*o. Let k(z) = -z + 1. Let j be k(-4). Let u be h(j). Solve -2*r - 5*s - 9 = u, 0 = 2*r + s - 0*s - 3 for r.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence rl when two letters picked without replacement from {x: 1, r: 1, l: 1, w: 2}?\n' | b'1/20\n' | b'What is prob of sequence rl when two letters picked without replacement from {x: 1, r: 1, l: 1, w: 2}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let w(h) be the second derivative of 0*h**2 - 1/12*h**4 + 0*h**5 - 2/15*h**6 - h + 0 + 0*h**3. Find the third derivative of w(u) wrt u.\n' | b'-96*u\n' | b'Let w(h) be the second derivative of 0*h**2 - 1/12*h**4 + 0*h**5 - 2/15*h**6 - h + 0 + 0*h**3. Find the third derivative of w(u) wrt u.\n' | b'-96*u\n' | deepmind/math_dataset |
b'Simplify ((q/q**(-14/9))/q)/q**(11/5)*q**(-22/7)*(q**(-4/3)*q)/q assuming q is positive.\n' | b'q**(-1613/315)\n' | b'Simplify ((q/q**(-14/9))/q)/q**(11/5)*q**(-22/7)*(q**(-4/3)*q)/q assuming q is positive.\n' | b'q**(-1613/315)\n' | deepmind/math_dataset |
b'Suppose -4*w + 23 = 3*r - 72, -90 = -4*w - 2*r. Suppose 3*z - w = -2*v, -2*z - v = -3*v. Solve 4*i = -p + 2, z*p - i + 3 = -6*i for p.\n' | b'-2\n' | b'Suppose -4*w + 23 = 3*r - 72, -90 = -4*w - 2*r. Suppose 3*z - w = -2*v, -2*z - v = -3*v. Solve 4*i = -p + 2, z*p - i + 3 = -6*i for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (c/(c**8*c*c))/(c/c**(-2/3))*c**(-2/3)/(c**(-9)/c*c) assuming c is positive.\n' | b'c**(-7/3)\n' | b'Simplify (c/(c**8*c*c))/(c/c**(-2/3))*c**(-2/3)/(c**(-9)/c*c) assuming c is positive.\n' | b'c**(-7/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 l when two letters picked without replacement from fusul?\n' | b'1/10\n' | b'What is prob of picking 1 s and 1 l when two letters picked without replacement from fusul?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((p**0)**29/(p*p**(1/8)*p*p**(-7)))**(-5/11) assuming p is positive.\n' | b'p**(-195/88)\n' | b'Simplify ((p**0)**29/(p*p**(1/8)*p*p**(-7)))**(-5/11) assuming p is positive.\n' | b'p**(-195/88)\n' | deepmind/math_dataset |
b'Suppose 0*f - 4*f + 5*u + 33 = 0, -3*f = 3*u + 9. What is the first derivative of -t**f - 907*t**4 + t**2 + 1009*t**4 - 1 wrt t?\n' | b'408*t**3\n' | b'Suppose 0*f - 4*f + 5*u + 33 = 0, -3*f = 3*u + 9. What is the first derivative of -t**f - 907*t**4 + t**2 + 1009*t**4 - 1 wrt t?\n' | b'408*t**3\n' | deepmind/math_dataset |
b'Simplify (m*m/(m**0/m))**(2/185)/(m*m**(2/7)/m)**(-14) assuming m is positive.\n' | b'm**(746/185)\n' | b'Simplify (m*m/(m**0/m))**(2/185)/(m*m**(2/7)/m)**(-14) assuming m is positive.\n' | b'm**(746/185)\n' | deepmind/math_dataset |
b'Let n(x) be the first derivative of x**3/3 - x + 4. Let i be n(-1). Solve i*t - 6 = 4*t + 2*j, 5*t - j = -25 for t.\n' | b'-4\n' | b'Let n(x) be the first derivative of x**3/3 - x + 4. Let i be n(-1). Solve i*t - 6 = 4*t + 2*j, 5*t - j = -25 for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(y) = 2*y + 0*y**2 + 2 + 11 - y**2. Suppose -29 = -2*j - 11*l + 16*l, 4*l = -20. Let g(b) = 2*b**2 - 3*b - 14. Let r(v) = j*g(v) + 3*o(v). What is r(0)?\n' | b'11\n' | b'Let o(y) = 2*y + 0*y**2 + 2 + 11 - y**2. Suppose -29 = -2*j - 11*l + 16*l, 4*l = -20. Let g(b) = 2*b**2 - 3*b - 14. Let r(v) = j*g(v) + 3*o(v). What is r(0)?\n' | b'11\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 o when two letters picked without replacement from eeoeooeoeeeeoe?\n' | b'45/91\n' | b'What is prob of picking 1 e and 1 o when two letters picked without replacement from eeoeooeoeeeeoe?\n' | b'45/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 3 l when four letters picked without replacement from {l: 7, i: 3}?\n' | b'1/2\n' | b'What is prob of picking 1 i and 3 l when four letters picked without replacement from {l: 7, i: 3}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let m = 63 - 61. Let a(n) = 55*n + 115. Let q be a(-2). Let y(t) = -t**2 + 6*t - 3. Let w be y(4). Solve 0 = -k - 3, m*o = -2*k - w - q for o.\n' | b'-2\n' | b'Let m = 63 - 61. Let a(n) = 55*n + 115. Let q be a(-2). Let y(t) = -t**2 + 6*t - 3. Let w be y(4). Solve 0 = -k - 3, m*o = -2*k - w - q for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i be (-6)/1 + 2067/318. Let z(v) be the second derivative of 0*v**2 + i*v**4 - 1/6*v**3 + 0 - v. Find the second derivative of z(x) wrt x.\n' | b'12\n' | b'Let i be (-6)/1 + 2067/318. Let z(v) be the second derivative of 0*v**2 + i*v**4 - 1/6*v**3 + 0 - v. Find the second derivative of z(x) wrt x.\n' | b'12\n' | deepmind/math_dataset |
b'Let f be (-2)/6 + 145/(-15). Let s be 6/f - (-9)/15. Suppose s = -h + 2*h. Let c(w) = -w**2 + 10. Calculate c(h).\n' | b'10\n' | b'Let f be (-2)/6 + 145/(-15). Let s be 6/f - (-9)/15. Suppose s = -h + 2*h. Let c(w) = -w**2 + 10. Calculate c(h).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence izbi when four letters picked without replacement from bbbbbbizzbbbi.\n' | b'3/1430\n' | b'Calculate prob of sequence izbi when four letters picked without replacement from bbbbbbizzbbbi.\n' | b'3/1430\n' | deepmind/math_dataset |
b'Let a(f) = -9*f**3 - 2*f**2. Let c be a(-1). Solve 5*v - 8 = 4*s, c = -2*s + 5*v + 3 for s.\n' | b'-2\n' | b'Let a(f) = -9*f**3 - 2*f**2. Let c be a(-1). Solve 5*v - 8 = 4*s, c = -2*s + 5*v + 3 for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, w: 1}.\n' | b'1/3\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, w: 1}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (p**(-1)*p)**(6/23)/(p**(1/4)/(p**(-1/3)/p)) assuming p is positive.\n' | b'p**(-19/12)\n' | b'Simplify (p**(-1)*p)**(6/23)/(p**(1/4)/(p**(-1/3)/p)) assuming p is positive.\n' | b'p**(-19/12)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjjo when four letters picked without replacement from jjjoajjjj.\n' | b'5/72\n' | b'Calculate prob of sequence jjjo when four letters picked without replacement from jjjoajjjj.\n' | b'5/72\n' | deepmind/math_dataset |
b'Let u(j) = 5875 - 2987 + 5*j - 2717. Calculate u(-35).\n' | b'-4\n' | b'Let u(j) = 5875 - 2987 + 5*j - 2717. Calculate u(-35).\n' | b'-4\n' | deepmind/math_dataset |
b'Let f be 13/3 - 6/18. Let o = f + 5. Let c = -6 + o. Solve 3*u + u + 16 = -c*v, 2*v + 5 = 3*u for v.\n' | b'-4\n' | b'Let f be 13/3 - 6/18. Let o = f + 5. Let c = -6 + o. Solve 3*u + u + 16 = -c*v, 2*v + 5 = 3*u for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(x) be the first derivative of -8 + x + 1/3*x**3 + x**2. What is v(-3)?\n' | b'4\n' | b'Let v(x) be the first derivative of -8 + x + 1/3*x**3 + x**2. What is v(-3)?\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, t: 1, z: 1, b: 1, y: 2, x: 1}. What is prob of sequence xy?\n' | b'1/21\n' | b'Two letters picked without replacement from {u: 1, t: 1, z: 1, b: 1, y: 2, x: 1}. What is prob of sequence xy?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let m(r) = -r - 2. Let h = 7 + -12. Let j be m(h). What is the third derivative of -v**2 - v**3 - 13*v**4 - j*v**3 + 4*v**3 wrt v?\n' | b'-312*v\n' | b'Let m(r) = -r - 2. Let h = 7 + -12. Let j be m(h). What is the third derivative of -v**2 - v**3 - 13*v**4 - j*v**3 + 4*v**3 wrt v?\n' | b'-312*v\n' | deepmind/math_dataset |
b'Calculate prob of sequence uiu when three letters picked without replacement from {a: 4, s: 1, x: 4, w: 2, u: 7, i: 1}.\n' | b'7/969\n' | b'Calculate prob of sequence uiu when three letters picked without replacement from {a: 4, s: 1, x: 4, w: 2, u: 7, i: 1}.\n' | b'7/969\n' | deepmind/math_dataset |
b'Suppose 4*m = -12, -m - 130 + 125 = b. Let z(k) = -2*k**2 + 5*k + 16. What is z(b)?\n' | b'-2\n' | b'Suppose 4*m = -12, -m - 130 + 125 = b. Let z(k) = -2*k**2 + 5*k + 16. What is z(b)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let v be 30/(-8)*(-24)/6. Suppose -5*y + v = -5*d, -d = -3*y - 3 + 10. Differentiate -10*a**2 + 3*a**2 + 9 + 8*a**y with respect to a.\n' | b'2*a\n' | b'Let v be 30/(-8)*(-24)/6. Suppose -5*y + v = -5*d, -d = -3*y - 3 + 10. Differentiate -10*a**2 + 3*a**2 + 9 + 8*a**y with respect to a.\n' | b'2*a\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {x: 2, o: 3, v: 3, s: 1, y: 1, w: 1}.\n' | b'9/55\n' | b'Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {x: 2, o: 3, v: 3, s: 1, y: 1, w: 1}.\n' | b'9/55\n' | deepmind/math_dataset |
b'Simplify (t**(-13))**(-12) assuming t is positive.\n' | b't**156\n' | b'Simplify (t**(-13))**(-12) assuming t is positive.\n' | b't**156\n' | deepmind/math_dataset |
b'Simplify ((c**(-2/5)*c*c)**25/((c*c**(-5/2))/c**(-7)))**(-23) assuming c is positive.\n' | b'c**(-1587/2)\n' | b'Simplify ((c**(-2/5)*c*c)**25/((c*c**(-5/2))/c**(-7)))**(-23) assuming c is positive.\n' | b'c**(-1587/2)\n' | deepmind/math_dataset |
b'Simplify (s**(-2)/s**(-5/6))**(-1/6) assuming s is positive.\n' | b's**(7/36)\n' | b'Simplify (s**(-2)/s**(-5/6))**(-1/6) assuming s is positive.\n' | b's**(7/36)\n' | deepmind/math_dataset |
b'Let i = 5 + 23. Let u = 16 - i. Let q be 10/u*-3*2. Solve -20 = 4*a, -2*a - 30 = q*k + a for k.\n' | b'-3\n' | b'Let i = 5 + 23. Let u = 16 - i. Let q be 10/u*-3*2. Solve -20 = 4*a, -2*a - 30 = q*k + a for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (d**(-1))**20*(d**(-2/5))**(2/163) assuming d is positive.\n' | b'd**(-16304/815)\n' | b'Simplify (d**(-1))**20*(d**(-2/5))**(2/163) assuming d is positive.\n' | b'd**(-16304/815)\n' | deepmind/math_dataset |
b'What is prob of sequence juh when three letters picked without replacement from jncihucu?\n' | b'1/168\n' | b'What is prob of sequence juh when three letters picked without replacement from jncihucu?\n' | b'1/168\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from zoddodgzzzdzogo?\n' | b'1/105\n' | b'What is prob of picking 2 g when two letters picked without replacement from zoddodgzzzdzogo?\n' | b'1/105\n' | deepmind/math_dataset |
b'What is the second derivative of -a**3 + 16*a - 28*a - 19*a - a**2 wrt a?\n' | b'-6*a - 2\n' | b'What is the second derivative of -a**3 + 16*a - 28*a - 19*a - a**2 wrt a?\n' | b'-6*a - 2\n' | deepmind/math_dataset |
b'Let i(p) be the first derivative of -654*p**2 - 3923*p - 739. What is the first derivative of i(y) wrt y?\n' | b'-1308\n' | b'Let i(p) be the first derivative of -654*p**2 - 3923*p - 739. What is the first derivative of i(y) wrt y?\n' | b'-1308\n' | deepmind/math_dataset |
b'Suppose -4*n + 20 = 4*i, 5*i - 17 = 4*n - 1. Let u = 0 + i. Let g(w) = -4*w + 3*w + u*w - 4*w. Determine g(-4).\n' | b'4\n' | b'Suppose -4*n + 20 = 4*i, 5*i - 17 = 4*n - 1. Let u = 0 + i. Let g(w) = -4*w + 3*w + u*w - 4*w. Determine g(-4).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xuxu. Give prob of picking 2 x.\n' | b'1/6\n' | b'Two letters picked without replacement from xuxu. Give prob of picking 2 x.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let t(n) be the first derivative of 144*n**5/5 + 14*n**3/3 + 8*n + 36. Find the third derivative of t(m) wrt m.\n' | b'3456*m\n' | b'Let t(n) be the first derivative of 144*n**5/5 + 14*n**3/3 + 8*n + 36. Find the third derivative of t(m) wrt m.\n' | b'3456*m\n' | deepmind/math_dataset |
b'Let g(k) = -2*k - 28. Let d be g(-12). Let r(v) = 2*v**2 + 5*v - 2. Let w(f) = -f**2 - 3*f. Let p = -82 + 87. Let u(q) = p*w(q) + 2*r(q). Give u(d).\n' | b'0\n' | b'Let g(k) = -2*k - 28. Let d be g(-12). Let r(v) = 2*v**2 + 5*v - 2. Let w(f) = -f**2 - 3*f. Let p = -82 + 87. Let u(q) = p*w(q) + 2*r(q). Give u(d).\n' | b'0\n' | deepmind/math_dataset |
b'Let o(r) = r**2 + 9*r + 12. Suppose 3*z + 33 - 4 = -q, -5*q - 33 = z. Let l be o(z). Solve -4*i - 2*g + 2 = 0, -l*i - i + 19 = -3*g for i.\n' | b'2\n' | b'Let o(r) = r**2 + 9*r + 12. Suppose 3*z + 33 - 4 = -q, -5*q - 33 = z. Let l be o(z). Solve -4*i - 2*g + 2 = 0, -l*i - i + 19 = -3*g for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let f(h) be the first derivative of h**4/4 - 5*h**3/3 + h**2/2 + 4*h + 6. Determine f(5).\n' | b'9\n' | b'Let f(h) be the first derivative of h**4/4 - 5*h**3/3 + h**2/2 + 4*h + 6. Determine f(5).\n' | b'9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnyynyyyyy. Give prob of picking 1 y and 3 n.\n' | b'1/30\n' | b'Four letters picked without replacement from nnyynyyyyy. Give prob of picking 1 y and 3 n.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let i = 1313 - 1313. Solve 0*w + w = -4*q, i = -q for w.\n' | b'0\n' | b'Let i = 1313 - 1313. Solve 0*w + w = -4*q, i = -q for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let x(l) = 8*l - l**2 - l**2 + 3*l**2 + 5. Suppose 5*r - 5*f + 40 = -9*f, 0 = 2*r + 4*f + 16. Calculate x(r).\n' | b'5\n' | b'Let x(l) = 8*l - l**2 - l**2 + 3*l**2 + 5. Suppose 5*r - 5*f + 40 = -9*f, 0 = 2*r + 4*f + 16. Calculate x(r).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (d**(-2/23)/(d/(d**(2/13)/d)*d))/(d**(2/5))**(-44) assuming d is positive.\n' | b'd**(21927/1495)\n' | b'Simplify (d**(-2/23)/(d/(d**(2/13)/d)*d))/(d**(2/5))**(-44) assuming d is positive.\n' | b'd**(21927/1495)\n' | deepmind/math_dataset |
b'Let w(t) be the second derivative of 0*t**5 + 0 - t + 0*t**2 - 1/6*t**4 + 0*t**3 + 0*t**6 - 1/14*t**7. Find the third derivative of w(q) wrt q.\n' | b'-180*q**2\n' | b'Let w(t) be the second derivative of 0*t**5 + 0 - t + 0*t**2 - 1/6*t**4 + 0*t**3 + 0*t**6 - 1/14*t**7. Find the third derivative of w(q) wrt q.\n' | b'-180*q**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gpmyrpm. Give prob of sequence gry.\n' | b'1/210\n' | b'Three letters picked without replacement from gpmyrpm. Give prob of sequence gry.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let t be (-2)/4*-58 - (-4 + 12). Solve -q + 3*s + 19 = -s, q + 4*s = -t for q.\n' | b'-1\n' | b'Let t be (-2)/4*-58 - (-4 + 12). Solve -q + 3*s + 19 = -s, q + 4*s = -t for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from {m: 1, q: 4, j: 2, v: 4}.\n' | b'6/55\n' | b'Calculate prob of sequence vv when two letters picked without replacement from {m: 1, q: 4, j: 2, v: 4}.\n' | b'6/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yccc. What is prob of picking 2 c?\n' | b'1/2\n' | b'Two letters picked without replacement from yccc. What is prob of picking 2 c?\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose m - r = 2*r, 22 = -2*m - 5*r. Let c(g) be the second derivative of 0 - 1/6*g**3 - g**2 + g. Give c(m).\n' | b'4\n' | b'Suppose m - r = 2*r, 22 = -2*m - 5*r. Let c(g) be the second derivative of 0 - 1/6*g**3 - g**2 + g. Give c(m).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 8, j: 2, a: 4}. What is prob of picking 1 w and 1 a?\n' | b'32/91\n' | b'Two letters picked without replacement from {w: 8, j: 2, a: 4}. What is prob of picking 1 w and 1 a?\n' | b'32/91\n' | deepmind/math_dataset |
b'Simplify (p**(-1/34)*p)/(p/(p**(-12)/p)) assuming p is positive.\n' | b'p**(-443/34)\n' | b'Simplify (p**(-1/34)*p)/(p/(p**(-12)/p)) assuming p is positive.\n' | b'p**(-443/34)\n' | deepmind/math_dataset |
b'What is the first derivative of -6*s**4 + 163 - 312*s**2 + 349*s**2 + 8*s**4 + 175 wrt s?\n' | b'8*s**3 + 74*s\n' | b'What is the first derivative of -6*s**4 + 163 - 312*s**2 + 349*s**2 + 8*s**4 + 175 wrt s?\n' | b'8*s**3 + 74*s\n' | deepmind/math_dataset |
b'What is prob of sequence mss when three letters picked without replacement from {m: 4, q: 2, s: 7}?\n' | b'14/143\n' | b'What is prob of sequence mss when three letters picked without replacement from {m: 4, q: 2, s: 7}?\n' | b'14/143\n' | deepmind/math_dataset |
b'Let c(x) = -4*x + 76. Let f be c(18). Suppose 2 = f*q - 362. Let w = q - 91. Solve -5*r - 3*v = -8*v, 3*r - 5*v + 8 = w for r.\n' | b'4\n' | b'Let c(x) = -4*x + 76. Let f be c(18). Suppose 2 = f*q - 362. Let w = q - 91. Solve -5*r - 3*v = -8*v, 3*r - 5*v + 8 = w for r.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from orororrrrrrrrrrrror. What is prob of picking 2 o and 2 r?\n' | b'105/646\n' | b'Four letters picked without replacement from orororrrrrrrrrrrror. What is prob of picking 2 o and 2 r?\n' | b'105/646\n' | deepmind/math_dataset |
b'Let d(p) be the third derivative of -19/3*p**3 + 0*p - 1/5*p**7 + 0*p**5 + 59*p**2 + 0 + 0*p**4 - 1/120*p**6. Find the first derivative of d(c) wrt c.\n' | b'-168*c**3 - 3*c**2\n' | b'Let d(p) be the third derivative of -19/3*p**3 + 0*p - 1/5*p**7 + 0*p**5 + 59*p**2 + 0 + 0*p**4 - 1/120*p**6. Find the first derivative of d(c) wrt c.\n' | b'-168*c**3 - 3*c**2\n' | deepmind/math_dataset |
b'Simplify (i*i/i**(-11/2)*i)/(i**(-20)*i) assuming i is positive.\n' | b'i**(55/2)\n' | b'Simplify (i*i/i**(-11/2)*i)/(i**(-20)*i) assuming i is positive.\n' | b'i**(55/2)\n' | deepmind/math_dataset |
b'Let d(o) be the first derivative of 0*o - 1/4*o**4 + 4/3*o**6 + 0*o**5 + 68*o**2 - 15 + 0*o**3. Find the second derivative of d(h) wrt h.\n' | b'160*h**3 - 6*h\n' | b'Let d(o) be the first derivative of 0*o - 1/4*o**4 + 4/3*o**6 + 0*o**5 + 68*o**2 - 15 + 0*o**3. Find the second derivative of d(h) wrt h.\n' | b'160*h**3 - 6*h\n' | deepmind/math_dataset |
b'Suppose 0 = -m - 2*m - 75. Let c = -22 - m. Suppose -5*h = -4*q - 177, -c*q - 174 = -5*h - 0*q. Solve 5*d - d - 3*s = -32, 2*s = 5*d + h for d.\n' | b'-5\n' | b'Suppose 0 = -m - 2*m - 75. Let c = -22 - m. Suppose -5*h = -4*q - 177, -c*q - 174 = -5*h - 0*q. Solve 5*d - d - 3*s = -32, 2*s = 5*d + h for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 3, u: 7, c: 9}. What is prob of sequence cb?\n' | b'3/38\n' | b'Two letters picked without replacement from {b: 3, u: 7, c: 9}. What is prob of sequence cb?\n' | b'3/38\n' | deepmind/math_dataset |
b'What is prob of sequence ttnt when four letters picked without replacement from nuntunuuntunntttuut?\n' | b'5/646\n' | b'What is prob of sequence ttnt when four letters picked without replacement from nuntunuuntunntttuut?\n' | b'5/646\n' | deepmind/math_dataset |
b'Simplify (((t**(-2/9)*t)/t)/t)**(-45)*(t*t/(t*(t**(-1)*t)/t))**15 assuming t is positive.\n' | b't**85\n' | b'Simplify (((t**(-2/9)*t)/t)/t)**(-45)*(t*t/(t*(t**(-1)*t)/t))**15 assuming t is positive.\n' | b't**85\n' | deepmind/math_dataset |
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