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 = -13 + 36. Let x = n - 14. What is the third derivative of 10*b**3 - x + 9*b**2 + 9 wrt b?\n' | b'60\n' | b'Let n = -13 + 36. Let x = n - 14. What is the third derivative of 10*b**3 - x + 9*b**2 + 9 wrt b?\n' | b'60\n' | deepmind/math_dataset |
b'Simplify ((i**(4/7)*i**38)/((i/(i/i**(6/7)))/i)**(4/7))**(2/21) assuming i is positive.\n' | b'i**(3788/1029)\n' | b'Simplify ((i**(4/7)*i**38)/((i/(i/i**(6/7)))/i)**(4/7))**(2/21) assuming i is positive.\n' | b'i**(3788/1029)\n' | deepmind/math_dataset |
b'Let i = 302 - 299. Solve -3*o + 15 = 3*z, 3*z - i*o - 13 = -5*o for z.\n' | b'3\n' | b'Let i = 302 - 299. Solve -3*o + 15 = 3*z, 3*z - i*o - 13 = -5*o for z.\n' | b'3\n' | deepmind/math_dataset |
b'Let w(z) = z**2 - z - 1. Let r(m) = 3*m**2 - 24*m - 27. Let h(x) = r(x) - 2*w(x). What is the first derivative of h(u) wrt u?\n' | b'2*u - 22\n' | b'Let w(z) = z**2 - z - 1. Let r(m) = 3*m**2 - 24*m - 27. Let h(x) = r(x) - 2*w(x). What is the first derivative of h(u) wrt u?\n' | b'2*u - 22\n' | deepmind/math_dataset |
b'Let l(o) = o**3 + 3*o**2 - 5*o - 2. Suppose -1098 = -33*u + 27*u. Let w = 180 - u. What is l(w)?\n' | b'13\n' | b'Let l(o) = o**3 + 3*o**2 - 5*o - 2. Suppose -1098 = -33*u + 27*u. Let w = 180 - u. What is l(w)?\n' | b'13\n' | deepmind/math_dataset |
b'Let w(z) = 4*z + 1. Let l = 25 + 6. Suppose 4*q + 224 = 12*q. Suppose -a - l = -q. What is w(a)?\n' | b'-11\n' | b'Let w(z) = 4*z + 1. Let l = 25 + 6. Suppose 4*q + 224 = 12*q. Suppose -a - l = -q. What is w(a)?\n' | b'-11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, g: 1, c: 2, m: 1, p: 1, q: 2}. What is prob of picking 2 q?\n' | b'1/28\n' | b'Two letters picked without replacement from {n: 1, g: 1, c: 2, m: 1, p: 1, q: 2}. What is prob of picking 2 q?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (d**26*d)/d*d*d/(((d/((d*d*d**(2/3)*d)/d*d))/d)/d)*d*d assuming d is positive.\n' | b'd**(104/3)\n' | b'Simplify (d**26*d)/d*d*d/(((d/((d*d*d**(2/3)*d)/d*d))/d)/d)*d*d assuming d is positive.\n' | b'd**(104/3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 3 o when four letters picked without replacement from nmmobmmobmnom.\n' | b'6/715\n' | b'Calculate prob of picking 1 m and 3 o when four letters picked without replacement from nmmobmmobmnom.\n' | b'6/715\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, g: 1, t: 2, q: 1}. Give prob of sequence tqj.\n' | b'1/30\n' | b'Three letters picked without replacement from {j: 1, g: 1, t: 2, q: 1}. Give prob of sequence tqj.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let f(c) = -2*c**3 - 2*c**2 - c. Let y(n) = 9*n**3 + 11*n**2 + 4*n. Let l = -20 + 9. Let u(p) = l*f(p) - 2*y(p). What is the second derivative of u(d) wrt d?\n' | b'24*d\n' | b'Let f(c) = -2*c**3 - 2*c**2 - c. Let y(n) = 9*n**3 + 11*n**2 + 4*n. Let l = -20 + 9. Let u(p) = l*f(p) - 2*y(p). What is the second derivative of u(d) wrt d?\n' | b'24*d\n' | deepmind/math_dataset |
b'What is prob of picking 1 v, 1 h, and 1 y when three letters picked without replacement from {v: 9, h: 1, y: 1}?\n' | b'3/55\n' | b'What is prob of picking 1 v, 1 h, and 1 y when three letters picked without replacement from {v: 9, h: 1, y: 1}?\n' | b'3/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, a: 4, u: 2, m: 3, y: 1}. What is prob of picking 1 m and 2 a?\n' | b'6/55\n' | b'Three letters picked without replacement from {f: 1, a: 4, u: 2, m: 3, y: 1}. What is prob of picking 1 m and 2 a?\n' | b'6/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 8, y: 2, z: 1, n: 2, j: 2}. What is prob of sequence zjnx?\n' | b'4/4095\n' | b'Four letters picked without replacement from {x: 8, y: 2, z: 1, n: 2, j: 2}. What is prob of sequence zjnx?\n' | b'4/4095\n' | deepmind/math_dataset |
b'Simplify (((v/v**(2/5)*v)**30*v**(2/13)*v**(1/8))**(-7/4))**(30/7) assuming v is positive.\n' | b'v**(-75315/208)\n' | b'Simplify (((v/v**(2/5)*v)**30*v**(2/13)*v**(1/8))**(-7/4))**(30/7) assuming v is positive.\n' | b'v**(-75315/208)\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 z when three letters picked without replacement from zjzomwzzzwjzzzzwjj?\n' | b'9/272\n' | b'What is prob of picking 2 w and 1 z when three letters picked without replacement from zjzomwzzzwjzzzzwjj?\n' | b'9/272\n' | deepmind/math_dataset |
b'Simplify (n*n**(-14)*n*n*n)/(n*(n/(n*n*n**(-5/6)*n))/n*n*n) assuming n is positive.\n' | b'n**(-65/6)\n' | b'Simplify (n*n**(-14)*n*n*n)/(n*(n/(n*n*n**(-5/6)*n))/n*n*n) assuming n is positive.\n' | b'n**(-65/6)\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-1/3))/i*i*i*i/((i**(-2)/i)/i)*(((i**0*i*i*i)/i*i)/i*i*i*i)/i**4)**(-8) assuming i is positive.\n' | b'i**(-184/3)\n' | b'Simplify ((i*i**(-1/3))/i*i*i*i/((i**(-2)/i)/i)*(((i**0*i*i*i)/i*i)/i*i*i*i)/i**4)**(-8) assuming i is positive.\n' | b'i**(-184/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, s: 1, q: 8, e: 6}. What is prob of picking 1 s, 1 q, and 2 u?\n' | b'2/255\n' | b'Four letters picked without replacement from {u: 3, s: 1, q: 8, e: 6}. What is prob of picking 1 s, 1 q, and 2 u?\n' | b'2/255\n' | deepmind/math_dataset |
b'Simplify (p*p**12*p)**(-16/9) assuming p is positive.\n' | b'p**(-224/9)\n' | b'Simplify (p*p**12*p)**(-16/9) assuming p is positive.\n' | b'p**(-224/9)\n' | deepmind/math_dataset |
b'Let g = -135 - -155. Suppose 4*h = n + g, -3*n + 3*h - 38 = 2*h. Let r be ((-4)/n)/(((-5)/(-12))/5). Solve -2*t - 4*x + 10 = 0, -1 - r = -t + x for t.\n' | b'5\n' | b'Let g = -135 - -155. Suppose 4*h = n + g, -3*n + 3*h - 38 = 2*h. Let r be ((-4)/n)/(((-5)/(-12))/5). Solve -2*t - 4*x + 10 = 0, -1 - r = -t + x for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let q(s) = 19*s**2 + 8*s + 39. Let v(b) = -9*b**2 - 3*b - 19. Let u(p) = 2*q(p) + 5*v(p). Find the second derivative of u(r) wrt r.\n' | b'-14\n' | b'Let q(s) = 19*s**2 + 8*s + 39. Let v(b) = -9*b**2 - 3*b - 19. Let u(p) = 2*q(p) + 5*v(p). Find the second derivative of u(r) wrt r.\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose 2*k - 6 = -k. Let p(l) = 2*l**3 + 0*l + l - l**3 + 4 + 6*l**k. What is p(-6)?\n' | b'-2\n' | b'Suppose 2*k - 6 = -k. Let p(l) = 2*l**3 + 0*l + l - l**3 + 4 + 6*l**k. What is p(-6)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((p/(p/(p/(p*p/(p**(3/4)*p)))))**14)**(-40)/(((p/p**(-1/12))/p)/(((p*p**(-1/3))/p)/p)*p*p**(-8)*p**(-4)) assuming p is positive.\n' | b'p**(-4925/12)\n' | b'Simplify ((p/(p/(p/(p*p/(p**(3/4)*p)))))**14)**(-40)/(((p/p**(-1/12))/p)/(((p*p**(-1/3))/p)/p)*p*p**(-8)*p**(-4)) assuming p is positive.\n' | b'p**(-4925/12)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 5}. What is prob of picking 2 o?\n' | b'1\n' | b'Two letters picked without replacement from {o: 5}. What is prob of picking 2 o?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 3, u: 1, l: 1, s: 2, n: 4, m: 4}. Give prob of picking 2 m and 1 n.\n' | b'24/455\n' | b'Three letters picked without replacement from {t: 3, u: 1, l: 1, s: 2, n: 4, m: 4}. Give prob of picking 2 m and 1 n.\n' | b'24/455\n' | deepmind/math_dataset |
b'Simplify (t*t/(t**(1/5)*t))/t*t*t/(t**0*t)*t assuming t is positive.\n' | b't**(9/5)\n' | b'Simplify (t*t/(t**(1/5)*t))/t*t*t/(t**0*t)*t assuming t is positive.\n' | b't**(9/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, m: 2, g: 12}. What is prob of sequence mg?\n' | b'3/34\n' | b'Two letters picked without replacement from {n: 3, m: 2, g: 12}. What is prob of sequence mg?\n' | b'3/34\n' | deepmind/math_dataset |
b'Four letters picked without replacement from daqalldkadkdpll. What is prob of sequence dqpa?\n' | b'1/2730\n' | b'Four letters picked without replacement from daqalldkadkdpll. What is prob of sequence dqpa?\n' | b'1/2730\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 2 e when three letters picked without replacement from beebebebeb?\n' | b'5/12\n' | b'What is prob of picking 1 b and 2 e when three letters picked without replacement from beebebebeb?\n' | b'5/12\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 2 p when three letters picked without replacement from ebdppvddbvvve?\n' | b'1/143\n' | b'What is prob of picking 1 e and 2 p when three letters picked without replacement from ebdppvddbvvve?\n' | b'1/143\n' | deepmind/math_dataset |
b'Suppose 168 = 3*p - 2*p. Suppose p*m = 173*m - 10. Solve 11 = m*o - q, -4*o + q + 3*q + 28 = 0 for o.\n' | b'4\n' | b'Suppose 168 = 3*p - 2*p. Suppose p*m = 173*m - 10. Solve 11 = m*o - q, -4*o + q + 3*q + 28 = 0 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Let p(z) = z**3 + 7*z**2 + 4*z - 4. Let f be p(-5). Suppose 17 = j - 4*d, -2*j + 4*j - f = 4*d. Let r be j*-1*(-2)/6. Solve y + 4*s - 7 = 0, 2*s = r + 1 for y.\n' | b'-1\n' | b'Let p(z) = z**3 + 7*z**2 + 4*z - 4. Let f be p(-5). Suppose 17 = j - 4*d, -2*j + 4*j - f = 4*d. Let r be j*-1*(-2)/6. Solve y + 4*s - 7 = 0, 2*s = r + 1 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m(h) = -183*h**3 - 8*h**2 + 270*h + 8. Let z(c) = 61*c**3 + 3*c**2 - 90*c - 3. Let o(a) = -3*m(a) - 8*z(a). Find the second derivative of o(d) wrt d.\n' | b'366*d\n' | b'Let m(h) = -183*h**3 - 8*h**2 + 270*h + 8. Let z(c) = 61*c**3 + 3*c**2 - 90*c - 3. Let o(a) = -3*m(a) - 8*z(a). Find the second derivative of o(d) wrt d.\n' | b'366*d\n' | deepmind/math_dataset |
b'What is the second derivative of 7*s + 0 - 7*s**4 + 0 wrt s?\n' | b'-84*s**2\n' | b'What is the second derivative of 7*s + 0 - 7*s**4 + 0 wrt s?\n' | b'-84*s**2\n' | deepmind/math_dataset |
b'Simplify ((r**(-7))**(1/31)/(r**(-12)*r/(r**(3/13)/r)))**(1/46) assuming r is positive.\n' | b'r**(2016/9269)\n' | b'Simplify ((r**(-7))**(1/31)/(r**(-12)*r/(r**(3/13)/r)))**(1/46) assuming r is positive.\n' | b'r**(2016/9269)\n' | deepmind/math_dataset |
b'Let h(a) be the second derivative of -4*a**7/21 - a**3 - a. What is the second derivative of h(p) wrt p?\n' | b'-160*p**3\n' | b'Let h(a) be the second derivative of -4*a**7/21 - a**3 - a. What is the second derivative of h(p) wrt p?\n' | b'-160*p**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 2 d when three letters picked without replacement from mdssdsdddns.\n' | b'2/33\n' | b'Calculate prob of picking 1 n and 2 d when three letters picked without replacement from mdssdsdddns.\n' | b'2/33\n' | deepmind/math_dataset |
b'Suppose h + 0 + 2 = 0. Let g = -2 - h. Solve -3 = 3*o + 3*x, -o - 2*x = -g*o for o.\n' | b'-2\n' | b'Suppose h + 0 + 2 = 0. Let g = -2 - h. Solve -3 = 3*o + 3*x, -o - 2*x = -g*o for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(g) be the third derivative of -g**6/15 + 7*g**3/3 + 12*g**2. What is the derivative of i(c) wrt c?\n' | b'-24*c**2\n' | b'Let i(g) be the third derivative of -g**6/15 + 7*g**3/3 + 12*g**2. What is the derivative of i(c) wrt c?\n' | b'-24*c**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbbbbbbbbbbfx. What is prob of sequence xb?\n' | b'11/156\n' | b'Two letters picked without replacement from bbbbbbbbbbbfx. What is prob of sequence xb?\n' | b'11/156\n' | deepmind/math_dataset |
b'What is prob of sequence lrr when three letters picked without replacement from zzzrrzrlzrnrzrrrz?\n' | b'7/510\n' | b'What is prob of sequence lrr when three letters picked without replacement from zzzrrzrlzrnrzrrrz?\n' | b'7/510\n' | deepmind/math_dataset |
b'Let l(u) = u - 5. Suppose -3 + 19 = 2*f. Let k be l(f). Let w(x) = 4*x + 4. Give w(k).\n' | b'16\n' | b'Let l(u) = u - 5. Suppose -3 + 19 = 2*f. Let k be l(f). Let w(x) = 4*x + 4. Give w(k).\n' | b'16\n' | deepmind/math_dataset |
b'Let l(s) = s**2 - 2*s + 2. Suppose 2*m - 28 = -0*m - 4*a, 0 = 2*m - 4*a + 12. What is l(m)?\n' | b'10\n' | b'Let l(s) = s**2 - 2*s + 2. Suppose 2*m - 28 = -0*m - 4*a, 0 = 2*m - 4*a + 12. What is l(m)?\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 0 = -5*r - 4*s + 167, -3*s - 5 - 1 = 0. Differentiate -r - i**2 - 3*i**2 + 2*i**2 wrt i.\n' | b'-4*i\n' | b'Suppose 0 = -5*r - 4*s + 167, -3*s - 5 - 1 = 0. Differentiate -r - i**2 - 3*i**2 + 2*i**2 wrt i.\n' | b'-4*i\n' | deepmind/math_dataset |
b'Simplify (((t*t*(t/t**(-2/7))/t)/t)**0)**1*(t/(t/(t**(-1)/t)*t))**(-4/7)/((t*t**(-1))/t*t*(t/((t**(1/2)*t*t)/t)*t)/t) assuming t is positive.\n' | b't**(31/14)\n' | b'Simplify (((t*t*(t/t**(-2/7))/t)/t)**0)**1*(t/(t/(t**(-1)/t)*t))**(-4/7)/((t*t**(-1))/t*t*(t/((t**(1/2)*t*t)/t)*t)/t) assuming t is positive.\n' | b't**(31/14)\n' | deepmind/math_dataset |
b'Simplify (b*b**(2/11)*b*b**(-4))/((b*b**(1/4)*b)/(b*b/(b*b**(-2/11)/b)))*b/b**(-6)*b*b**(-1/5)*b**(-4/5)*b*b**(1/9) assuming b is positive.\n' | b'b**(2465/396)\n' | b'Simplify (b*b**(2/11)*b*b**(-4))/((b*b**(1/4)*b)/(b*b/(b*b**(-2/11)/b)))*b/b**(-6)*b*b**(-1/5)*b**(-4/5)*b*b**(1/9) assuming b is positive.\n' | b'b**(2465/396)\n' | deepmind/math_dataset |
b'Let m(s) = -66*s - 45. Let u(b) = -34*b - 19. Let o(w) = 3*m(w) - 7*u(w). What is o(1)?\n' | b'38\n' | b'Let m(s) = -66*s - 45. Let u(b) = -34*b - 19. Let o(w) = 3*m(w) - 7*u(w). What is o(1)?\n' | b'38\n' | deepmind/math_dataset |
b'What is prob of sequence uuu when three letters picked without replacement from {u: 6}?\n' | b'1\n' | b'What is prob of sequence uuu when three letters picked without replacement from {u: 6}?\n' | b'1\n' | deepmind/math_dataset |
b'Let d(t) be the second derivative of -t**4/12 + 7*t**3/6 - t**2 - 7*t. What is d(6)?\n' | b'4\n' | b'Let d(t) be the second derivative of -t**4/12 + 7*t**3/6 - t**2 - 7*t. What is d(6)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (o**(-1/6)/o*o**(1/12)*(o**(-1))**(-39))/((o/(o/(o/o**(-4/5)*o*o)))/(o/(o**(7/2)/o)))**(-30) assuming o is positive.\n' | b'o**(2363/12)\n' | b'Simplify (o**(-1/6)/o*o**(1/12)*(o**(-1))**(-39))/((o/(o/(o/o**(-4/5)*o*o)))/(o/(o**(7/2)/o)))**(-30) assuming o is positive.\n' | b'o**(2363/12)\n' | deepmind/math_dataset |
b'Simplify ((y/(y*y*y**(1/6)*y*y))/(y*y/(y*y/(y/(y*y**(-17)))*y)))/(y*y**(10/7)/y*y)**(14/13) assuming y is positive.\n' | b'y**(-1699/78)\n' | b'Simplify ((y/(y*y*y**(1/6)*y*y))/(y*y/(y*y/(y/(y*y**(-17)))*y)))/(y*y**(10/7)/y*y)**(14/13) assuming y is positive.\n' | b'y**(-1699/78)\n' | deepmind/math_dataset |
b'Suppose 0 = -4*x - 3*z + 107, -59 = -5*x + 4*z + 36. Let q(l) = 2*l**2 - 46*l. Calculate q(x).\n' | b'0\n' | b'Suppose 0 = -4*x - 3*z + 107, -59 = -5*x + 4*z + 36. Let q(l) = 2*l**2 - 46*l. Calculate q(x).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -3*m + 3*y - 2*y = -11, 5*y - 25 = -5*m. Let t = -11 + 13. What is the first derivative of m - 4 - u**4 - t wrt u?\n' | b'-4*u**3\n' | b'Suppose -3*m + 3*y - 2*y = -11, 5*y - 25 = -5*m. Let t = -11 + 13. What is the first derivative of m - 4 - u**4 - t wrt u?\n' | b'-4*u**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oggfgqf. Give prob of sequence ffg.\n' | b'1/35\n' | b'Three letters picked without replacement from oggfgqf. Give prob of sequence ffg.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let n(k) = -k - 1. Let s be n(-3). Let g(y) = y**2 + y - s*y**2 + 5*y. Calculate g(5).\n' | b'5\n' | b'Let n(k) = -k - 1. Let s be n(-3). Let g(y) = y**2 + y - s*y**2 + 5*y. Calculate g(5).\n' | b'5\n' | deepmind/math_dataset |
b'Let c = 513 + -513. Let x(p) be the first derivative of 7/2*p**2 + 0*p**3 + 0*p + 5 + 2/3*p**6 + 0*p**4 + c*p**5. What is the second derivative of x(a) wrt a?\n' | b'80*a**3\n' | b'Let c = 513 + -513. Let x(p) be the first derivative of 7/2*p**2 + 0*p**3 + 0*p + 5 + 2/3*p**6 + 0*p**4 + c*p**5. What is the second derivative of x(a) wrt a?\n' | b'80*a**3\n' | deepmind/math_dataset |
b'Let y(i) = -i**3 - 14*i**2 - 22*i + 28. Let k be y(-12). Let l = 172 - 33. What is the first derivative of -4*v - 1 + 4*v + 130*v**4 - l*v**k wrt v?\n' | b'-36*v**3\n' | b'Let y(i) = -i**3 - 14*i**2 - 22*i + 28. Let k be y(-12). Let l = 172 - 33. What is the first derivative of -4*v - 1 + 4*v + 130*v**4 - l*v**k wrt v?\n' | b'-36*v**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence at when two letters picked without replacement from amtttym.\n' | b'1/14\n' | b'Calculate prob of sequence at when two letters picked without replacement from amtttym.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let n(b) = 2*b**2 - 7*b - 1. Let g = -24 + 29. What is n(g)?\n' | b'14\n' | b'Let n(b) = 2*b**2 - 7*b - 1. Let g = -24 + 29. What is n(g)?\n' | b'14\n' | deepmind/math_dataset |
b'Let z(a) = -3 - 3*a**3 + a**2 + a**2 + 2*a**3 + 5. Give z(2).\n' | b'2\n' | b'Let z(a) = -3 - 3*a**3 + a**2 + a**2 + 2*a**3 + 5. Give z(2).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, p: 1, k: 1, o: 1, b: 1}. What is prob of picking 1 o and 1 b?\n' | b'1/10\n' | b'Two letters picked without replacement from {w: 1, p: 1, k: 1, o: 1, b: 1}. What is prob of picking 1 o and 1 b?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, s: 4, w: 1, l: 6}. What is prob of picking 2 m?\n' | b'3/91\n' | b'Two letters picked without replacement from {m: 3, s: 4, w: 1, l: 6}. What is prob of picking 2 m?\n' | b'3/91\n' | deepmind/math_dataset |
b'Let z(h) = -2*h + 8. Let t be z(3). Let g(w) = w**3 - w**2 + 1. Let r be g(t). Find the first derivative of -6 - 2 + 28*p**4 - r + 3 wrt p.\n' | b'112*p**3\n' | b'Let z(h) = -2*h + 8. Let t be z(3). Let g(w) = w**3 - w**2 + 1. Let r be g(t). Find the first derivative of -6 - 2 + 28*p**4 - r + 3 wrt p.\n' | b'112*p**3\n' | deepmind/math_dataset |
b'Let s(m) = 4*m + 5. Let k(u) = 23*u + 17. Let g(t) = 35*t + 25. Let j(x) = 5*g(x) - 8*k(x). Let w(p) = -6*j(p) - 13*s(p). What is w(-4)?\n' | b'-7\n' | b'Let s(m) = 4*m + 5. Let k(u) = 23*u + 17. Let g(t) = 35*t + 25. Let j(x) = 5*g(x) - 8*k(x). Let w(p) = -6*j(p) - 13*s(p). What is w(-4)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((h**(1/2)/h)**(1/86)*h/(h/h**7*h)*h*h*h*h*h*h*h/(h/h**(-4)))/((h*h**(1/4)*h)**(-1/23))**(3/2) assuming h is positive.\n' | b'h**(64411/7912)\n' | b'Simplify ((h**(1/2)/h)**(1/86)*h/(h/h**7*h)*h*h*h*h*h*h*h/(h/h**(-4)))/((h*h**(1/4)*h)**(-1/23))**(3/2) assuming h is positive.\n' | b'h**(64411/7912)\n' | deepmind/math_dataset |
b'Let x(m) = 4*m - 3. Let c(n) = 5*n - 3. Let f(v) = 2*c(v) - 3*x(v). Calculate f(7).\n' | b'-11\n' | b'Let x(m) = 4*m - 3. Let c(n) = 5*n - 3. Let f(v) = 2*c(v) - 3*x(v). Calculate f(7).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 2 p when three letters picked without replacement from {e: 1, t: 1, f: 3, x: 2, p: 5, u: 1}?\n' | b'5/143\n' | b'What is prob of picking 1 e and 2 p when three letters picked without replacement from {e: 1, t: 1, f: 3, x: 2, p: 5, u: 1}?\n' | b'5/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzuddjx. Give prob of picking 1 u and 2 z.\n' | b'1/35\n' | b'Three letters picked without replacement from zzuddjx. Give prob of picking 1 u and 2 z.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let a(j) = -9*j**2 + 6*j**2 + 2*j**2 + 3*j. Let h be a(2). Solve -2*f = -h*i - 14, 2*i = -2*f + f + 1 for f.\n' | b'5\n' | b'Let a(j) = -9*j**2 + 6*j**2 + 2*j**2 + 3*j. Let h be a(2). Solve -2*f = -h*i - 14, 2*i = -2*f + f + 1 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 5, z: 2, y: 1, f: 1, k: 3}. What is prob of sequence fzy?\n' | b'1/660\n' | b'Three letters picked without replacement from {a: 5, z: 2, y: 1, f: 1, k: 3}. What is prob of sequence fzy?\n' | b'1/660\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ssqdssqqkqqdqsqqsdq. What is prob of sequence qksq?\n' | b'3/646\n' | b'Four letters picked without replacement from ssqdssqqkqqdqsqqsdq. What is prob of sequence qksq?\n' | b'3/646\n' | deepmind/math_dataset |
b'Let s = -136 + 168. Find the third derivative of 5*a**5 - 6*a**2 + s*a - 29*a - 6*a**2 - a**3 wrt a.\n' | b'300*a**2 - 6\n' | b'Let s = -136 + 168. Find the third derivative of 5*a**5 - 6*a**2 + s*a - 29*a - 6*a**2 - a**3 wrt a.\n' | b'300*a**2 - 6\n' | deepmind/math_dataset |
b'Let p(a) = 4 - 2*a - 3 + a. Let f be ((-8)/(-10))/(4/(-20)). Let o(h) = h - 5. Let d(s) = f*p(s) - o(s). Find the first derivative of d(w) wrt w.\n' | b'3\n' | b'Let p(a) = 4 - 2*a - 3 + a. Let f be ((-8)/(-10))/(4/(-20)). Let o(h) = h - 5. Let d(s) = f*p(s) - o(s). Find the first derivative of d(w) wrt w.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, v: 1, q: 2, s: 1, b: 1, x: 1}. Give prob of sequence bv.\n' | b'1/42\n' | b'Two letters picked without replacement from {m: 1, v: 1, q: 2, s: 1, b: 1, x: 1}. Give prob of sequence bv.\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bdbbdbbgbdbbgbfdba. What is prob of picking 1 g and 1 f?\n' | b'2/153\n' | b'Two letters picked without replacement from bdbbdbbgbdbbgbfdba. What is prob of picking 1 g and 1 f?\n' | b'2/153\n' | deepmind/math_dataset |
b'Suppose o + 1 = 4*a - 0, 5*a = 5*o - 10. Suppose -c = -32 - o. Let q be (-24)/132 + c/11. Solve r = 3*i - 17, -q*r - 3*i - 7 = -i for r.\n' | b'-5\n' | b'Suppose o + 1 = 4*a - 0, 5*a = 5*o - 10. Suppose -c = -32 - o. Let q be (-24)/132 + c/11. Solve r = 3*i - 17, -q*r - 3*i - 7 = -i for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r = 15 - 1. Let d = 20 - r. Solve 0 = p + 3*a - d - 5, -7 = -p - a for p.\n' | b'5\n' | b'Let r = 15 - 1. Let d = 20 - r. Solve 0 = p + 3*a - d - 5, -7 = -p - a for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let c(p) = -p**2 + 10*p - 2. Suppose r - 6*r - 10 = 5*n, -5*n + 3*r = -6. Suppose -4*m = o - 235, n = 4*m + m + o - 295. Let w = m - 52. What is c(w)?\n' | b'14\n' | b'Let c(p) = -p**2 + 10*p - 2. Suppose r - 6*r - 10 = 5*n, -5*n + 3*r = -6. Suppose -4*m = o - 235, n = 4*m + m + o - 295. Let w = m - 52. What is c(w)?\n' | b'14\n' | deepmind/math_dataset |
b'Let w be (52/(-234))/((-5)/(-15))*-6. Solve -w*r + 1 = -3*r, -4*d = -5*r - 3 for d.\n' | b'2\n' | b'Let w be (52/(-234))/((-5)/(-15))*-6. Solve -w*r + 1 = -3*r, -4*d = -5*r - 3 for d.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((s*s*(s**(-1/3)*s*s)/s*s)/(s/(((s*s*s*s/(s/s**(-15))*s)/s*s)/s)))**(-1/3))**(1/5) assuming s is positive.\n' | b's**(28/45)\n' | b'Simplify (((s*s*(s**(-1/3)*s*s)/s*s)/(s/(((s*s*s*s/(s/s**(-15))*s)/s*s)/s)))**(-1/3))**(1/5) assuming s is positive.\n' | b's**(28/45)\n' | deepmind/math_dataset |
b'Simplify (((m**11/m*m*m**9)/(m**(2/9)/m**3))**28)**33 assuming m is positive.\n' | b'm**(63140/3)\n' | b'Simplify (((m**11/m*m*m**9)/(m**(2/9)/m**3))**28)**33 assuming m is positive.\n' | b'm**(63140/3)\n' | deepmind/math_dataset |
b'Suppose 4*m = -0*m + 12. Solve -a = m*b + 4*a - 19, b - 3 = -a for b.\n' | b'-2\n' | b'Suppose 4*m = -0*m + 12. Solve -a = m*b + 4*a - 19, b - 3 = -a for b.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 v when two letters picked without replacement from {m: 1, v: 2}?\n' | b'1/3\n' | b'What is prob of picking 2 v when two letters picked without replacement from {m: 1, v: 2}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Find the third derivative of -304*y + 2896*y**5 - 659*y**2 + 620*y - 1366*y**2 - 316*y wrt y.\n' | b'173760*y**2\n' | b'Find the third derivative of -304*y + 2896*y**5 - 659*y**2 + 620*y - 1366*y**2 - 316*y wrt y.\n' | b'173760*y**2\n' | deepmind/math_dataset |
b'Let o = -3 + 4. Let w(c) = -2*c + 0*c - o + 6*c. Suppose 0 = -2*d - 3*m + 7, 5*m = -2*d + 11 + 2. Give w(d).\n' | b'-5\n' | b'Let o = -3 + 4. Let w(c) = -2*c + 0*c - o + 6*c. Suppose 0 = -2*d - 3*m + 7, 5*m = -2*d + 11 + 2. Give w(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*g = 68 - 72. Solve j = p, -g*p - 2*j - 6 = -18 for p.\n' | b'3\n' | b'Suppose -2*g = 68 - 72. Solve j = p, -g*p - 2*j - 6 = -18 for p.\n' | b'3\n' | deepmind/math_dataset |
b'Let n(c) = 2*c**2 - 60*c + 6. Let q(s) = 10*s**2 + 7*s - 158. Let v be q(4). Calculate n(v).\n' | b'6\n' | b'Let n(c) = 2*c**2 - 60*c + 6. Let q(s) = 10*s**2 + 7*s - 158. Let v be q(4). Calculate n(v).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 e when three letters picked without replacement from {l: 1, g: 1, e: 7, s: 6}.\n' | b'1/13\n' | b'Calculate prob of picking 3 e when three letters picked without replacement from {l: 1, g: 1, e: 7, s: 6}.\n' | b'1/13\n' | deepmind/math_dataset |
b'Suppose 3*f - f + 12 = 0. Let v(o) = -o - 1. Suppose -2*i = 1 + 1. Let y(d) = 3*d + 10. Let q(w) = i*y(w) - v(w). Determine q(f).\n' | b'3\n' | b'Suppose 3*f - f + 12 = 0. Let v(o) = -o - 1. Suppose -2*i = 1 + 1. Let y(d) = 3*d + 10. Let q(w) = i*y(w) - v(w). Determine q(f).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence kq when two letters picked without replacement from qwfbfffwwwbfkwbwf?\n' | b'1/272\n' | b'What is prob of sequence kq when two letters picked without replacement from qwfbfffwwwbfkwbwf?\n' | b'1/272\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zhjggaq. Give prob of sequence zh.\n' | b'1/42\n' | b'Two letters picked without replacement from zhjggaq. Give prob of sequence zh.\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eyuufse. Give prob of sequence yf.\n' | b'1/42\n' | b'Two letters picked without replacement from eyuufse. Give prob of sequence yf.\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((k**(-1/2)/k**(3/4))/((k/(k*k**(4/3)))/(k**(-1)/k)))/((k**(1/4))**(1/61))**(2/93) assuming k is positive.\n' | b'k**(-43495/22692)\n' | b'Simplify ((k**(-1/2)/k**(3/4))/((k/(k*k**(4/3)))/(k**(-1)/k)))/((k**(1/4))**(1/61))**(2/93) assuming k is positive.\n' | b'k**(-43495/22692)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jllilgiiliineji. Give prob of picking 3 i and 1 g.\n' | b'4/273\n' | b'Four letters picked without replacement from jllilgiiliineji. Give prob of picking 3 i and 1 g.\n' | b'4/273\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 1 b, and 1 o when three letters picked without replacement from {u: 1, b: 1, o: 9, i: 1}?\n' | b'9/220\n' | b'What is prob of picking 1 u, 1 b, and 1 o when three letters picked without replacement from {u: 1, b: 1, o: 9, i: 1}?\n' | b'9/220\n' | deepmind/math_dataset |
b'Simplify ((f**(-2/13)*f*f**(2/13))/(f/(f*f*f*f*f/(f/((f*(f*f/(f/f**(-2)))/f)/f))*f))**24)/(((f/(f/f**(1/5)))/f)/(f*f**7)*(f**1/f)**10) assuming f is positive.\n' | b'f**(289/5)\n' | b'Simplify ((f**(-2/13)*f*f**(2/13))/(f/(f*f*f*f*f/(f/((f*(f*f/(f/f**(-2)))/f)/f))*f))**24)/(((f/(f/f**(1/5)))/f)/(f*f**7)*(f**1/f)**10) assuming f is positive.\n' | b'f**(289/5)\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 2 t when three letters picked without replacement from {x: 1, t: 3, p: 5, w: 1}?\n' | b'1/40\n' | b'What is prob of picking 1 w and 2 t when three letters picked without replacement from {x: 1, t: 3, p: 5, w: 1}?\n' | b'1/40\n' | deepmind/math_dataset |
b'Suppose -110*a - 502 + 4302 = -15*a. Solve p + 3*m = 10, 18*p + 4*m = 22*p + a for p.\n' | b'-5\n' | b'Suppose -110*a - 502 + 4302 = -15*a. Solve p + 3*m = 10, 18*p + 4*m = 22*p + a for p.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence hic when three letters picked without replacement from {g: 1, t: 1, c: 1, e: 1, h: 1, i: 2}?\n' | b'1/105\n' | b'What is prob of sequence hic when three letters picked without replacement from {g: 1, t: 1, c: 1, e: 1, h: 1, i: 2}?\n' | b'1/105\n' | deepmind/math_dataset |
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