question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let u(k) be the first derivative of k**6/360 - k**5/40 - k**3/3 - 3. Let o(i) be the third derivative of u(i). Let a be (8/(-10))/(2/(-10)). Give o(a).\n' | b'4\n' | b'Let u(k) be the first derivative of k**6/360 - k**5/40 - k**3/3 - 3. Let o(i) be the third derivative of u(i). Let a be (8/(-10))/(2/(-10)). Give o(a).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((t**5/t*t*t**2)**8)**8)**(11/5) assuming t is positive.\n' | b't**(4928/5)\n' | b'Simplify (((t**5/t*t*t**2)**8)**8)**(11/5) assuming t is positive.\n' | b't**(4928/5)\n' | deepmind/math_dataset |
b'Let q be 4 - 2/(-1 + 3). Suppose 13 = -4*h - i + 29, i = 0. Let j be 3 - (h - 2)/2. Solve 0 = q*o + 5*r - 21, 3*o + j*o = -r + 13 for o.\n' | b'2\n' | b'Let q be 4 - 2/(-1 + 3). Suppose 13 = -4*h - i + 29, i = 0. Let j be 3 - (h - 2)/2. Solve 0 = q*o + 5*r - 21, 3*o + j*o = -r + 13 for o.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(a) = -14*a + 7. Suppose 220*f - 149*f = -355. Calculate g(f).\n' | b'77\n' | b'Let g(a) = -14*a + 7. Suppose 220*f - 149*f = -355. Calculate g(f).\n' | b'77\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wbgwgwbwzbgbgbw. Give prob of sequence wbgw.\n' | b'10/819\n' | b'Four letters picked without replacement from wbgwgwbwzbgbgbw. Give prob of sequence wbgw.\n' | b'10/819\n' | deepmind/math_dataset |
b'Simplify ((l/l**(1/3)*l**(2/7))/((l*(l/(l/((l*l*(l*l**(-6))/l*l)/l)))/l)/(l**1*l)))**(-18/7) assuming l is positive.\n' | b'l**(-876/49)\n' | b'Simplify ((l/l**(1/3)*l**(2/7))/((l*(l/(l/((l*l*(l*l**(-6))/l*l)/l)))/l)/(l**1*l)))**(-18/7) assuming l is positive.\n' | b'l**(-876/49)\n' | deepmind/math_dataset |
b'Let q(j) = -j - 7. Suppose 8*f + 90 = 3*f. Let g = f + 13. What is q(g)?\n' | b'-2\n' | b'Let q(j) = -j - 7. Suppose 8*f + 90 = 3*f. Let g = f + 13. What is q(g)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (o**(1/6))**(1/15)/(o*o/(o*o*o**(-9)*o)*o)**(26/7) assuming o is positive.\n' | b'o**(-21053/630)\n' | b'Simplify (o**(1/6))**(1/15)/(o*o/(o*o*o**(-9)*o)*o)**(26/7) assuming o is positive.\n' | b'o**(-21053/630)\n' | deepmind/math_dataset |
b'Let r(i) be the second derivative of -5/12*i**4 + 0*i**3 - 15/2*i**2 + 0 - 18*i. Find the first derivative of r(u) wrt u.\n' | b'-10*u\n' | b'Let r(i) be the second derivative of -5/12*i**4 + 0*i**3 - 15/2*i**2 + 0 - 18*i. Find the first derivative of r(u) wrt u.\n' | b'-10*u\n' | deepmind/math_dataset |
b'Simplify g/((((g/((g*g**(-3))/g))/g*g)/g)/g)*g**(-4/5)*g*g*g**(-2/17)/g*g*g*g/(g*(g*g**(-1/6)*g)/g)*((g**(2/3))**(1/21))**28 assuming g is positive.\n' | b'g**(1741/1530)\n' | b'Simplify g/((((g/((g*g**(-3))/g))/g*g)/g)/g)*g**(-4/5)*g*g*g**(-2/17)/g*g*g*g/(g*(g*g**(-1/6)*g)/g)*((g**(2/3))**(1/21))**28 assuming g is positive.\n' | b'g**(1741/1530)\n' | deepmind/math_dataset |
b'Let v(m) = -11*m**2 + 8*m + 23. Let l(a) = 4*a**2 - 3*a - 8. Let z(u) = -8*l(u) - 3*v(u). Let c be z(3). Let t(b) = 2*b**2 - 5*b. Calculate t(c).\n' | b'12\n' | b'Let v(m) = -11*m**2 + 8*m + 23. Let l(a) = 4*a**2 - 3*a - 8. Let z(u) = -8*l(u) - 3*v(u). Let c be z(3). Let t(b) = 2*b**2 - 5*b. Calculate t(c).\n' | b'12\n' | deepmind/math_dataset |
b'Suppose 4*t + 4 - 40 = 0. Differentiate -5 + 21 - t + 37*u**2 with respect to u.\n' | b'74*u\n' | b'Suppose 4*t + 4 - 40 = 0. Differentiate -5 + 21 - t + 37*u**2 with respect to u.\n' | b'74*u\n' | deepmind/math_dataset |
b'Let a(v) = v**3 - 11*v**2 - v + 14. Let f be a(11). Find the first derivative of -266*n**3 + 23*n**4 + 266*n**f + 21 wrt n.\n' | b'92*n**3\n' | b'Let a(v) = v**3 - 11*v**2 - v + 14. Let f be a(11). Find the first derivative of -266*n**3 + 23*n**4 + 266*n**f + 21 wrt n.\n' | b'92*n**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zghxxgxxhnqxxggxz. What is prob of picking 1 x and 1 h?\n' | b'7/68\n' | b'Two letters picked without replacement from zghxxgxxhnqxxggxz. What is prob of picking 1 x and 1 h?\n' | b'7/68\n' | deepmind/math_dataset |
b'Simplify (q/(q*q**(-1/25))*q**(4/11)/q)**(-6) assuming q is positive.\n' | b'q**(984/275)\n' | b'Simplify (q/(q*q**(-1/25))*q**(4/11)/q)**(-6) assuming q is positive.\n' | b'q**(984/275)\n' | deepmind/math_dataset |
b'Let p = 3 + -1. Let b = 0 - -3. What is the first derivative of 5*h**b + 0 + 3*h**3 - p - 4*h**3 wrt h?\n' | b'12*h**2\n' | b'Let p = 3 + -1. Let b = 0 - -3. What is the first derivative of 5*h**b + 0 + 3*h**3 - p - 4*h**3 wrt h?\n' | b'12*h**2\n' | deepmind/math_dataset |
b'Simplify (f/(f*f**18))/f*f**(3/5) assuming f is positive.\n' | b'f**(-92/5)\n' | b'Simplify (f/(f*f**18))/f*f**(3/5) assuming f is positive.\n' | b'f**(-92/5)\n' | deepmind/math_dataset |
b'Let y(a) = -55*a**4 + 11*a + 129. Let n(g) = -18*g**4 - 43 + 30 + 45 + 11 + 4*g. Let f(d) = -11*n(d) + 4*y(d). Find the first derivative of f(s) wrt s.\n' | b'-88*s**3\n' | b'Let y(a) = -55*a**4 + 11*a + 129. Let n(g) = -18*g**4 - 43 + 30 + 45 + 11 + 4*g. Let f(d) = -11*n(d) + 4*y(d). Find the first derivative of f(s) wrt s.\n' | b'-88*s**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xlllllxlxxxlxg.\n' | b'6/91\n' | b'Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xlllllxlxxxlxg.\n' | b'6/91\n' | deepmind/math_dataset |
b'Let z(s) = -s**2 - 30*s - 52. Let m be z(-28). Let d(v) = -v**3 + 2*v**2 + 3*v + 3. What is d(m)?\n' | b'-17\n' | b'Let z(s) = -s**2 - 30*s - 52. Let m be z(-28). Let d(v) = -v**3 + 2*v**2 + 3*v + 3. What is d(m)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let v(h) = -15. Let n(d) = -d + 62. Let r(l) = n(l) + 5*v(l). What is r(-8)?\n' | b'-5\n' | b'Let v(h) = -15. Let n(d) = -d + 62. Let r(l) = n(l) + 5*v(l). What is r(-8)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -72*q + 70*q = -10. Solve -q*u + 5 = x + 4, -3*x = u - 3 for u.\n' | b'0\n' | b'Suppose -72*q + 70*q = -10. Solve -q*u + 5 = x + 4, -3*x = u - 3 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (w/w**(-8))/(w**(5/6)*w) assuming w is positive.\n' | b'w**(43/6)\n' | b'Simplify (w/w**(-8))/(w**(5/6)*w) assuming w is positive.\n' | b'w**(43/6)\n' | deepmind/math_dataset |
b'Suppose -5*v = 5*q + 55, -3*v + 2*q - 36 - 7 = 0. Let n = v + 16. Solve t + 4*t - 5*g = 25, 0 = -t - n*g + 5 for t.\n' | b'5\n' | b'Suppose -5*v = 5*q + 55, -3*v + 2*q - 36 - 7 = 0. Let n = v + 16. Solve t + 4*t - 5*g = 25, 0 = -t - n*g + 5 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 1045*v - 13 = -3*k + 1046*v, 0 = -5*k + 3*v + 31. Let w = -5 - -10. Suppose 3*u - w = 10. Solve k = u*y + 5*i + 7, -14 = 4*y - i for y.\n' | b'-3\n' | b'Suppose 1045*v - 13 = -3*k + 1046*v, 0 = -5*k + 3*v + 31. Let w = -5 - -10. Suppose 3*u - w = 10. Solve k = u*y + 5*i + 7, -14 = 4*y - i for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*w = 10, -5*u - 2 + 38 = 3*w. Suppose -u*g + 2*g = -20. Solve -3*d = -g*n + 2, -5*d + 2*d - 5*n = 22 for d.\n' | b'-4\n' | b'Suppose 5*w = 10, -5*u - 2 + 38 = 3*w. Suppose -u*g + 2*g = -20. Solve -3*d = -g*n + 2, -5*d + 2*d - 5*n = 22 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence noj when three letters picked without replacement from jooojjnjn.\n' | b'1/21\n' | b'Calculate prob of sequence noj when three letters picked without replacement from jooojjnjn.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (t**(-2/21)/t)/(((t*(t*t**4*t*t)/t*t*t)/t)/t)*(t*t*t**0)/t*t*t**(2/9) assuming t is positive.\n' | b't**(-370/63)\n' | b'Simplify (t**(-2/21)/t)/(((t*(t*t**4*t*t)/t*t*t)/t)/t)*(t*t*t**0)/t*t*t**(2/9) assuming t is positive.\n' | b't**(-370/63)\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 j when two letters picked without replacement from ujuujjjjjjjjjjj?\n' | b'12/35\n' | b'What is prob of picking 1 u and 1 j when two letters picked without replacement from ujuujjjjjjjjjjj?\n' | b'12/35\n' | deepmind/math_dataset |
b'Simplify (q**7/(q**(4/7)*q*q))/((q*q*q**(1/5))/(q**(-5/2)*q*q)) assuming q is positive.\n' | b'q**(121/70)\n' | b'Simplify (q**7/(q**(4/7)*q*q))/((q*q*q**(1/5))/(q**(-5/2)*q*q)) assuming q is positive.\n' | b'q**(121/70)\n' | deepmind/math_dataset |
b'Suppose -6*j - 12 = -4*j. Let u(k) = k. Let c be u(j). Let b(n) = n**2 + 4*n - 4. What is b(c)?\n' | b'8\n' | b'Suppose -6*j - 12 = -4*j. Let u(k) = k. Let c be u(j). Let b(n) = n**2 + 4*n - 4. What is b(c)?\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (n/(n**(-31)/n)*n)/((n*n*n/(n**(-4/3)/n)*n)/n) assuming n is positive.\n' | b'n**(86/3)\n' | b'Simplify (n/(n**(-31)/n)*n)/((n*n*n/(n**(-4/3)/n)*n)/n) assuming n is positive.\n' | b'n**(86/3)\n' | deepmind/math_dataset |
b'What is prob of sequence cnn when three letters picked without replacement from nnnnnnnnnncnn?\n' | b'1/13\n' | b'What is prob of sequence cnn when three letters picked without replacement from nnnnnnnnnncnn?\n' | b'1/13\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 o and 1 d when four letters picked without replacement from {d: 3, o: 7}.\n' | b'1/2\n' | b'Calculate prob of picking 3 o and 1 d when four letters picked without replacement from {d: 3, o: 7}.\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify ((((k/((k**1/k)/k))/k)/k)**(-9))**(-1/8) assuming k is positive.\n' | b'1\n' | b'Simplify ((((k/((k**1/k)/k))/k)/k)**(-9))**(-1/8) assuming k is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (d**(-1/13))**38 assuming d is positive.\n' | b'd**(-38/13)\n' | b'Simplify (d**(-1/13))**38 assuming d is positive.\n' | b'd**(-38/13)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, i: 2, n: 1}. What is prob of sequence nbn?\n' | b'0\n' | b'Three letters picked without replacement from {b: 1, i: 2, n: 1}. What is prob of sequence nbn?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 5, v: 4, a: 1}. Give prob of picking 2 v.\n' | b'2/15\n' | b'Two letters picked without replacement from {g: 5, v: 4, a: 1}. Give prob of picking 2 v.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let p(x) = -x**2 - 3*x + 3. Let h be p(2). Let s be 2/(-7)*h*1. What is the third derivative of -7 + 0*k**s + 7 + k**3 + k**2 wrt k?\n' | b'6\n' | b'Let p(x) = -x**2 - 3*x + 3. Let h be p(2). Let s be 2/(-7)*h*1. What is the third derivative of -7 + 0*k**s + 7 + k**3 + k**2 wrt k?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 0 = -7*p + 9*k - 4*k - 10, 2*p + 10 = 5*k. Solve 0 = -s - 4, m - 2*m + 2*s + 7 = p for m.\n' | b'-1\n' | b'Suppose 0 = -7*p + 9*k - 4*k - 10, 2*p + 10 = 5*k. Solve 0 = -s - 4, m - 2*m + 2*s + 7 = p for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o be (-21)/4 + 4/16. Let y(d) = -d**3 - 4*d**2 + 4*d. Let j be y(o). Solve -4*i - j*n - 23 = 0, 6*i - 2*i = -n - 11 for i.\n' | b'-2\n' | b'Let o be (-21)/4 + 4/16. Let y(d) = -d**3 - 4*d**2 + 4*d. Let j be y(o). Solve -4*i - j*n - 23 = 0, 6*i - 2*i = -n - 11 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify c**(-3/17)*c*c**(-1/5) assuming c is positive.\n' | b'c**(53/85)\n' | b'Simplify c**(-3/17)*c*c**(-1/5) assuming c is positive.\n' | b'c**(53/85)\n' | deepmind/math_dataset |
b'Find the third derivative of -38*o - 39*o + 15055*o**4 + 154*o + 956*o**2 - 41*o - 35*o wrt o.\n' | b'361320*o\n' | b'Find the third derivative of -38*o - 39*o + 15055*o**4 + 154*o + 956*o**2 - 41*o - 35*o wrt o.\n' | b'361320*o\n' | deepmind/math_dataset |
b'Let y be (-12)/(-2) + -2 + 0. Let m(p) = p**2 - 7*p + 2. Let o be m(7). Suppose 0 = -o*z + 2 + 2. Solve 15 = 2*n + 5*i, 6*i - z*i + 16 = y*n for n.\n' | b'5\n' | b'Let y be (-12)/(-2) + -2 + 0. Let m(p) = p**2 - 7*p + 2. Let o be m(7). Suppose 0 = -o*z + 2 + 2. Solve 15 = 2*n + 5*i, 6*i - z*i + 16 = y*n for n.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(f) = -f**2 + 2. Let i(n) = n. Let b(q) = -a(q) + 3*i(q). Let z(g) be the second derivative of -g**3/3 + 3*g**2/2 - 18*g. Let p be z(3). What is b(p)?\n' | b'-2\n' | b'Let a(f) = -f**2 + 2. Let i(n) = n. Let b(q) = -a(q) + 3*i(q). Let z(g) be the second derivative of -g**3/3 + 3*g**2/2 - 18*g. Let p be z(3). What is b(p)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let n(h) = 7*h**2 + 3*h**3 + h - 4*h**3 - 9 - 1 + 7*h**2. Calculate n(14).\n' | b'4\n' | b'Let n(h) = 7*h**2 + 3*h**3 + h - 4*h**3 - 9 - 1 + 7*h**2. Calculate n(14).\n' | b'4\n' | deepmind/math_dataset |
b'Let o(z) = 2*z**5 + 4*z**3 + 4*z**2 - 4*z. Let x(p) = -2*p**5 - 3*p**3 - 3*p**2 + 5*p. Let j(d) = -3*o(d) - 4*x(d). Find the second derivative of j(k) wrt k.\n' | b'40*k**3\n' | b'Let o(z) = 2*z**5 + 4*z**3 + 4*z**2 - 4*z. Let x(p) = -2*p**5 - 3*p**3 - 3*p**2 + 5*p. Let j(d) = -3*o(d) - 4*x(d). Find the second derivative of j(k) wrt k.\n' | b'40*k**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 g, and 2 u when four letters picked without replacement from xgxxgugxxguxxuuux.\n' | b'16/119\n' | b'Calculate prob of picking 1 x, 1 g, and 2 u when four letters picked without replacement from xgxxgugxxguxxuuux.\n' | b'16/119\n' | deepmind/math_dataset |
b'Let k(p) = 11*p**2 + 5*p + 50. Let o(l) = -6*l**2 - 2*l - 24. Let m(q) = -4*k(q) - 10*o(q). Differentiate m(j) with respect to j.\n' | b'32*j\n' | b'Let k(p) = 11*p**2 + 5*p + 50. Let o(l) = -6*l**2 - 2*l - 24. Let m(q) = -4*k(q) - 10*o(q). Differentiate m(j) with respect to j.\n' | b'32*j\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mwxxa. What is prob of picking 1 a, 1 x, 1 m, and 1 w?\n' | b'2/5\n' | b'Four letters picked without replacement from mwxxa. What is prob of picking 1 a, 1 x, 1 m, and 1 w?\n' | b'2/5\n' | deepmind/math_dataset |
b'Let i be 5/((1 - 2)*-1). Solve 18 = 5*s - 3*z, 5*s + i - 17 = -3*z for s.\n' | b'3\n' | b'Let i be 5/((1 - 2)*-1). Solve 18 = 5*s - 3*z, 5*s + i - 17 = -3*z for s.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {u: 1, d: 1, z: 2, j: 10}.\n' | b'5/182\n' | b'Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {u: 1, d: 1, z: 2, j: 10}.\n' | b'5/182\n' | deepmind/math_dataset |
b'Simplify ((j**(2/5)/j)/j*j*j**(-3/2))**5/((j**(-1)*j**(-3))/(j**(1/5)*j*j/(j*j/j**(-3)))) assuming j is positive.\n' | b'j**(-93/10)\n' | b'Simplify ((j**(2/5)/j)/j*j*j**(-3/2))**5/((j**(-1)*j**(-3))/(j**(1/5)*j*j/(j*j/j**(-3)))) assuming j is positive.\n' | b'j**(-93/10)\n' | deepmind/math_dataset |
b'Find the third derivative of 3785*q**6 - 2 - 9476*q**6 + 29*q**2 + 4*q - 3821*q**6 wrt q.\n' | b'-1141440*q**3\n' | b'Find the third derivative of 3785*q**6 - 2 - 9476*q**6 + 29*q**2 + 4*q - 3821*q**6 wrt q.\n' | b'-1141440*q**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k, 1 u, and 1 j when three letters picked without replacement from kuskjj.\n' | b'1/5\n' | b'Calculate prob of picking 1 k, 1 u, and 1 j when three letters picked without replacement from kuskjj.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let b = -548 + 551. Solve i + b*h = 6*i + 6, -9 = -2*i + 5*h for i.\n' | b'-3\n' | b'Let b = -548 + 551. Solve i + b*h = 6*i + 6, -9 = -2*i + 5*h for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (x**(8/7)*x**(1/12))/(x**7)**(-3/8) assuming x is positive.\n' | b'x**(647/168)\n' | b'Simplify (x**(8/7)*x**(1/12))/(x**7)**(-3/8) assuming x is positive.\n' | b'x**(647/168)\n' | deepmind/math_dataset |
b'Simplify (i**(-1/4)*i**24)**35 assuming i is positive.\n' | b'i**(3325/4)\n' | b'Simplify (i**(-1/4)*i**24)**35 assuming i is positive.\n' | b'i**(3325/4)\n' | deepmind/math_dataset |
b'Let k = -27 + 31. Suppose 25 = 3*l + 5*c, -k*l + 3*c = -0*l - 14. Let q be 1*0*((-7 - -14) + -8). Solve -l*f = 5, 4*d + 11 = -q*d + f for d.\n' | b'-3\n' | b'Let k = -27 + 31. Suppose 25 = 3*l + 5*c, -k*l + 3*c = -0*l - 14. Let q be 1*0*((-7 - -14) + -8). Solve -l*f = 5, 4*d + 11 = -q*d + f for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the third derivative of -2*z**3 - 3*z**5 - 8*z**2 + 2*z**3 wrt z.\n' | b'-180*z**2\n' | b'Find the third derivative of -2*z**3 - 3*z**5 - 8*z**2 + 2*z**3 wrt z.\n' | b'-180*z**2\n' | deepmind/math_dataset |
b'Suppose 767 + 473 = 310*x. Solve x*a + a - 7 = 4*s, 5*s + 2*a = -17 for s.\n' | b'-3\n' | b'Suppose 767 + 473 = 310*x. Solve x*a + a - 7 = 4*s, 5*s + 2*a = -17 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let x(g) = -g**3 - 4*g**2 + 6*g + 4. Let q be x(-4). Let v = q + 48. Solve 2*s + 18 = 3*t, -4*s + 5*t = t + v for s.\n' | b'-3\n' | b'Let x(g) = -g**3 - 4*g**2 + 6*g + 4. Let q be x(-4). Let v = q + 48. Solve 2*s + 18 = 3*t, -4*s + 5*t = t + v for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a = 2791 + -2791. Solve 15*r - 19*r + 8 = 2*c, a = 2*r + 4*c + 2 for r.\n' | b'3\n' | b'Let a = 2791 + -2791. Solve 15*r - 19*r + 8 = 2*c, a = 2*r + 4*c + 2 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Let h(l) = 9*l + 2. Suppose -17*y - 62 = 17 - 28. Give h(y).\n' | b'-25\n' | b'Let h(l) = 9*l + 2. Suppose -17*y - 62 = 17 - 28. Give h(y).\n' | b'-25\n' | deepmind/math_dataset |
b'Simplify (o**(-7)*o)**(4/5)/(o/(o/o**(-6)*o)*o*o*o*o*(o/(o*o*o/o**(1/8)))/o) assuming o is positive.\n' | b'o**(43/40)\n' | b'Simplify (o**(-7)*o)**(4/5)/(o/(o/o**(-6)*o)*o*o*o*o*(o/(o*o*o/o**(1/8)))/o) assuming o is positive.\n' | b'o**(43/40)\n' | deepmind/math_dataset |
b'Let h = 8 + -7. Suppose s - h = 0, 3*f + 0*f + 4*s = 16. Solve f*g + 2*o + 3*o - 11 = 0, -10 = g - 3*o for g.\n' | b'-1\n' | b'Let h = 8 + -7. Suppose s - h = 0, 3*f + 0*f + 4*s = 16. Solve f*g + 2*o + 3*o - 11 = 0, -10 = g - 3*o for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aanaaannaaa. What is prob of sequence nn?\n' | b'3/55\n' | b'Two letters picked without replacement from aanaaannaaa. What is prob of sequence nn?\n' | b'3/55\n' | deepmind/math_dataset |
b'Simplify (x**(-9))**(-39)/(x**(-26)*x**16) assuming x is positive.\n' | b'x**361\n' | b'Simplify (x**(-9))**(-39)/(x**(-26)*x**16) assuming x is positive.\n' | b'x**361\n' | deepmind/math_dataset |
b'What is the first derivative of -38*h**4 + 10*h**4 - 177 + 142 wrt h?\n' | b'-112*h**3\n' | b'What is the first derivative of -38*h**4 + 10*h**4 - 177 + 142 wrt h?\n' | b'-112*h**3\n' | deepmind/math_dataset |
b'Let u(y) = y + 8. Let l be u(-10). Let x = -7 - l. Let k(z) = z**2 + 2*z. Give k(x).\n' | b'15\n' | b'Let u(y) = y + 8. Let l be u(-10). Let x = -7 - l. Let k(z) = z**2 + 2*z. Give k(x).\n' | b'15\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from {q: 2, t: 2, z: 2, n: 3}.\n' | b'1/36\n' | b'Calculate prob of sequence tt when two letters picked without replacement from {q: 2, t: 2, z: 2, n: 3}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let d(x) be the first derivative of -x**5/5 + 62*x**3/3 - 251*x**2/2 + 6. What is the second derivative of d(r) wrt r?\n' | b'-12*r**2 + 124\n' | b'Let d(x) be the first derivative of -x**5/5 + 62*x**3/3 - 251*x**2/2 + 6. What is the second derivative of d(r) wrt r?\n' | b'-12*r**2 + 124\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 g when three letters picked without replacement from kkgi?\n' | b'1/4\n' | b'What is prob of picking 2 k and 1 g when three letters picked without replacement from kkgi?\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify a*a**(-11)/a*a*a*(a*a/(a/((a*(a*a**(-12))/a)/a)))/a*(a**(1/7)/a)**(-23) assuming a is positive.\n' | b'a**(-9/7)\n' | b'Simplify a*a**(-11)/a*a*a*(a*a/(a/((a*(a*a**(-12))/a)/a)))/a*(a**(1/7)/a)**(-23) assuming a is positive.\n' | b'a**(-9/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llllljljjjjjl. What is prob of picking 3 j?\n' | b'10/143\n' | b'Three letters picked without replacement from llllljljjjjjl. What is prob of picking 3 j?\n' | b'10/143\n' | deepmind/math_dataset |
b'Suppose -3*o = 2 - 14. Find the second derivative of -6*u**4 + o*u - u + 3*u**4 wrt u.\n' | b'-36*u**2\n' | b'Suppose -3*o = 2 - 14. Find the second derivative of -6*u**4 + o*u - u + 3*u**4 wrt u.\n' | b'-36*u**2\n' | deepmind/math_dataset |
b'Simplify (n**(3/8)*n)**33 assuming n is positive.\n' | b'n**(363/8)\n' | b'Simplify (n**(3/8)*n)**33 assuming n is positive.\n' | b'n**(363/8)\n' | deepmind/math_dataset |
b'Let l(k) be the third derivative of k**4/12 + 10*k**3/3 - 53*k**2. Let q be l(-10). Solve 2*f + z = -4, f + z = -q*z - 1 for f.\n' | b'-3\n' | b'Let l(k) be the third derivative of k**4/12 + 10*k**3/3 - 53*k**2. Let q be l(-10). Solve 2*f + z = -4, f + z = -q*z - 1 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let t = 11 + -8. Let h be (t/12)/(1/8). Solve 2*g - c - 6 = 0, -g - h*c - c + 10 = 0 for g.\n' | b'4\n' | b'Let t = 11 + -8. Let h be (t/12)/(1/8). Solve 2*g - c - 6 = 0, -g - h*c - c + 10 = 0 for g.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from slllllwwlwwwwl. Give prob of picking 1 w and 2 l.\n' | b'9/26\n' | b'Three letters picked without replacement from slllllwwlwwwwl. Give prob of picking 1 w and 2 l.\n' | b'9/26\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tatwwvywwttw. Give prob of picking 1 y, 1 t, and 1 w.\n' | b'1/11\n' | b'Three letters picked without replacement from tatwwvywwttw. Give prob of picking 1 y, 1 t, and 1 w.\n' | b'1/11\n' | deepmind/math_dataset |
b'Let q(m) = -m**2 - 4*m + 3. Let c be ((-3)/(-5))/((-3)/(-15)). Let k be c*5/(45/24). Suppose k = -16*s + 20*s. Give q(s).\n' | b'-9\n' | b'Let q(m) = -m**2 - 4*m + 3. Let c be ((-3)/(-5))/((-3)/(-15)). Let k be c*5/(45/24). Suppose k = -16*s + 20*s. Give q(s).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {g: 1, a: 1, r: 1, y: 3, d: 1}.\n' | b'1/21\n' | b'Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {g: 1, a: 1, r: 1, y: 3, d: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let n(t) = -t**2 + t + 4. Let q be n(2). Suppose 6 = 4*i - q. What is the second derivative of 15*f**5 - 14*f + 8*f**5 - i*f**5 - f**5 wrt f?\n' | b'400*f**3\n' | b'Let n(t) = -t**2 + t + 4. Let q be n(2). Suppose 6 = 4*i - q. What is the second derivative of 15*f**5 - 14*f + 8*f**5 - i*f**5 - f**5 wrt f?\n' | b'400*f**3\n' | deepmind/math_dataset |
b'Simplify ((o**(-1/2))**(-6)*o**(-2/7)/o**(2/7))/(((o/o**(1/4)*o*o)/o)**(-39)*(o**1)**(-3/4)) assuming o is positive.\n' | b'o**(500/7)\n' | b'Simplify ((o**(-1/2))**(-6)*o**(-2/7)/o**(2/7))/(((o/o**(1/4)*o*o)/o)**(-39)*(o**1)**(-3/4)) assuming o is positive.\n' | b'o**(500/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence igg when three letters picked without replacement from {l: 9, g: 2, i: 2, p: 1}.\n' | b'1/546\n' | b'Calculate prob of sequence igg when three letters picked without replacement from {l: 9, g: 2, i: 2, p: 1}.\n' | b'1/546\n' | deepmind/math_dataset |
b'Let t = -13 - -17. Let z(v) = -t*v**3 - 2*v**2 + 5*v + 0*v**2 + 0*v**2 - 2 + 3*v**3. Let d = 10 + -14. What is z(d)?\n' | b'10\n' | b'Let t = -13 - -17. Let z(v) = -t*v**3 - 2*v**2 + 5*v + 0*v**2 + 0*v**2 - 2 + 3*v**3. Let d = 10 + -14. What is z(d)?\n' | b'10\n' | deepmind/math_dataset |
b'Suppose -4*l - 12 = -l. Let f(s) = -8*s**2 + 11*s + 6. Let h(k) = -11*k**2 + 13*k + 7. Let q = -38 + 41. Let v(i) = q*h(i) - 4*f(i). Determine v(l).\n' | b'1\n' | b'Suppose -4*l - 12 = -l. Let f(s) = -8*s**2 + 11*s + 6. Let h(k) = -11*k**2 + 13*k + 7. Let q = -38 + 41. Let v(i) = q*h(i) - 4*f(i). Determine v(l).\n' | b'1\n' | deepmind/math_dataset |
b'Let d(k) = -3*k + 27. Let l be d(8). Let t(u) = 6 - 5*u**2 - 4*u**3 + 3*u**l - 5*u - 12 - 1. Let f be t(-4). Let r(i) = -i**2 + i - 1. Determine r(f).\n' | b'-13\n' | b'Let d(k) = -3*k + 27. Let l be d(8). Let t(u) = 6 - 5*u**2 - 4*u**3 + 3*u**l - 5*u - 12 - 1. Let f be t(-4). Let r(i) = -i**2 + i - 1. Determine r(f).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose -51 - 25 = -19*w. Solve 0 = -w*i - 4*j - 8, -2*i + 12 = -3*j - 4 for i.\n' | b'2\n' | b'Suppose -51 - 25 = -19*w. Solve 0 = -w*i - 4*j - 8, -2*i + 12 = -3*j - 4 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let k be -1*(-1)/(2 + -1). Let n(s) be the first derivative of 7*s**2/2 + s - 1. Determine n(k).\n' | b'8\n' | b'Let k be -1*(-1)/(2 + -1). Let n(s) be the first derivative of 7*s**2/2 + s - 1. Determine n(k).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -3*f = -5*c + 3, 3*f = 7*f + 2*c - 22. Suppose 0 = 8*d - 7*d - 5. Solve -f*y - y = a + d, 0 = 5*y - a + 15 for y.\n' | b'-2\n' | b'Suppose -3*f = -5*c + 3, 3*f = 7*f + 2*c - 22. Suppose 0 = 8*d - 7*d - 5. Solve -f*y - y = a + d, 0 = 5*y - a + 15 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cccvv. Give prob of sequence cv.\n' | b'3/10\n' | b'Two letters picked without replacement from cccvv. Give prob of sequence cv.\n' | b'3/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 8, c: 1, n: 1, g: 8, h: 1}. Give prob of picking 1 g, 2 v, and 1 h.\n' | b'56/969\n' | b'Four letters picked without replacement from {v: 8, c: 1, n: 1, g: 8, h: 1}. Give prob of picking 1 g, 2 v, and 1 h.\n' | b'56/969\n' | deepmind/math_dataset |
b'Suppose -5*h + 3 = -2*h. Suppose -b + 0*d + 3 = d, 0 = -3*b - d + 7. Let n(i) = -2*i**2 + b*i + 0 - 1 + h. What is n(2)?\n' | b'-4\n' | b'Suppose -5*h + 3 = -2*h. Suppose -b + 0*d + 3 = d, 0 = -3*b - d + 7. Let n(i) = -2*i**2 + b*i + 0 - 1 + h. What is n(2)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(i) = i**2 + 19*i - 17. Let g be a(-20). Let n(j) be the first derivative of -2/3*j**g - 1/2*j**2 + 2*j - 2. Determine n(2).\n' | b'-8\n' | b'Let a(i) = i**2 + 19*i - 17. Let g be a(-20). Let n(j) be the first derivative of -2/3*j**g - 1/2*j**2 + 2*j - 2. Determine n(2).\n' | b'-8\n' | deepmind/math_dataset |
b'Let d(i) = 4*i + 2*i**2 + 2*i**2 - 3*i**2 + 324 - 326. Suppose 5*t = t + 20. Suppose 0 = -t*f + r - 19 + 2, -5*f + 4*r = 8. Give d(f).\n' | b'-2\n' | b'Let d(i) = 4*i + 2*i**2 + 2*i**2 - 3*i**2 + 324 - 326. Suppose 5*t = t + 20. Suppose 0 = -t*f + r - 19 + 2, -5*f + 4*r = 8. Give d(f).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 i and 1 m when four letters picked without replacement from {q: 1, c: 3, i: 8, d: 1, m: 5, e: 2}?\n' | b'56/969\n' | b'What is prob of picking 3 i and 1 m when four letters picked without replacement from {q: 1, c: 3, i: 8, d: 1, m: 5, e: 2}?\n' | b'56/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xhgttigl. What is prob of sequence itth?\n' | b'1/840\n' | b'Four letters picked without replacement from xhgttigl. What is prob of sequence itth?\n' | b'1/840\n' | deepmind/math_dataset |
b'Simplify ((y/y**(1/5)*y)/(y/((y/(y*y/(y/(y/(y/((y*y/y**(-1))/y)))))*y)/y*y)*y))/(y**(1/2))**(-6/7)*((y**(-2/7))**(3/2))**(-29) assuming y is positive.\n' | b'y**(408/35)\n' | b'Simplify ((y/y**(1/5)*y)/(y/((y/(y*y/(y/(y/(y/((y*y/y**(-1))/y)))))*y)/y*y)*y))/(y**(1/2))**(-6/7)*((y**(-2/7))**(3/2))**(-29) assuming y is positive.\n' | b'y**(408/35)\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.