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'Calculate prob of picking 4 d when four letters picked without replacement from ddddddddddddddddkd.\n' | b'7/9\n' | b'Calculate prob of picking 4 d when four letters picked without replacement from ddddddddddddddddkd.\n' | b'7/9\n' | deepmind/math_dataset |
b'Calculate prob of sequence jke when three letters picked without replacement from {e: 1, k: 1, f: 2, j: 2}.\n' | b'1/60\n' | b'Calculate prob of sequence jke when three letters picked without replacement from {e: 1, k: 1, f: 2, j: 2}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let g(l) be the first derivative of l**4/4 + l**3/3 + l**2/2 + 2*l + 9. Calculate g(-2).\n' | b'-4\n' | b'Let g(l) be the first derivative of l**4/4 + l**3/3 + l**2/2 + 2*l + 9. Calculate g(-2).\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tsttststts. What is prob of sequence sst?\n' | b'1/10\n' | b'Three letters picked without replacement from tsttststts. What is prob of sequence sst?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((t/t**0)**49/(t*t**0*t/t**(1/7)))/((t*t**1/t)**(1/70)/((t/t**(-7))/t**(-5))) assuming t is positive.\n' | b't**(4209/70)\n' | b'Simplify ((t/t**0)**49/(t*t**0*t/t**(1/7)))/((t*t**1/t)**(1/70)/((t/t**(-7))/t**(-5))) assuming t is positive.\n' | b't**(4209/70)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e and 2 o when four letters picked without replacement from xexeeeoeoee.\n' | b'7/110\n' | b'Calculate prob of picking 2 e and 2 o when four letters picked without replacement from xexeeeoeoee.\n' | b'7/110\n' | deepmind/math_dataset |
b'Suppose -h - 5*q + 11 = 0, -5*h + 6 + 20 = -4*q. Let r(t) be the first derivative of -2*t**2 + 2 - h*t - 1/3*t**3. Determine r(-4).\n' | b'-6\n' | b'Suppose -h - 5*q + 11 = 0, -5*h + 6 + 20 = -4*q. Let r(t) be the first derivative of -2*t**2 + 2 - h*t - 1/3*t**3. Determine r(-4).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence my when two letters picked without replacement from {n: 8, k: 4, y: 1, m: 7}?\n' | b'7/380\n' | b'What is prob of sequence my when two letters picked without replacement from {n: 8, k: 4, y: 1, m: 7}?\n' | b'7/380\n' | deepmind/math_dataset |
b'Let v(h) be the first derivative of -h**4/4 - h**3 + h**2 - h - 2. Let y = 30384 + -30381. Calculate v(y).\n' | b'-49\n' | b'Let v(h) be the first derivative of -h**4/4 - h**3 + h**2 - h - 2. Let y = 30384 + -30381. Calculate v(y).\n' | b'-49\n' | deepmind/math_dataset |
b'Suppose 3*z - 2*i - 16 = 0, -6*i = -5*z - 4*i + 20. Suppose 2*a = -12 - z. Let t(b) = b**3 + 8*b**2 + 7*b - 6. Determine t(a).\n' | b'-6\n' | b'Suppose 3*z - 2*i - 16 = 0, -6*i = -5*z - 4*i + 20. Suppose 2*a = -12 - z. Let t(b) = b**3 + 8*b**2 + 7*b - 6. Determine t(a).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jttjd. What is prob of picking 1 t, 1 j, and 1 d?\n' | b'2/5\n' | b'Three letters picked without replacement from jttjd. What is prob of picking 1 t, 1 j, and 1 d?\n' | b'2/5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xwfwfwqaaoqf. What is prob of sequence qaa?\n' | b'1/330\n' | b'Three letters picked without replacement from xwfwfwqaaoqf. What is prob of sequence qaa?\n' | b'1/330\n' | deepmind/math_dataset |
b'Suppose -p + 2 = -17. Let h = p - 14. What is the first derivative of -1 + 0 + 1 - h + 10*j**2 wrt j?\n' | b'20*j\n' | b'Suppose -p + 2 = -17. Let h = p - 14. What is the first derivative of -1 + 0 + 1 - h + 10*j**2 wrt j?\n' | b'20*j\n' | deepmind/math_dataset |
b'Simplify ((y/(y/y**(5/3))*y**(-4))**(-14))**(-2/91) assuming y is positive.\n' | b'y**(-28/39)\n' | b'Simplify ((y/(y/y**(5/3))*y**(-4))**(-14))**(-2/91) assuming y is positive.\n' | b'y**(-28/39)\n' | deepmind/math_dataset |
b'Let k = 7 - -5. Let h be 0/k - (-6 - -1). Suppose 12 = 4*p - 0*p. Solve 0 = p*v - 7*v - 20, 10 = h*l - 2*v for l.\n' | b'0\n' | b'Let k = 7 - -5. Let h be 0/k - (-6 - -1). Suppose 12 = 4*p - 0*p. Solve 0 = p*v - 7*v - 20, 10 = h*l - 2*v for l.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dxdddddddxxddxxddd. Give prob of picking 4 d.\n' | b'143/612\n' | b'Four letters picked without replacement from dxdddddddxxddxxddd. Give prob of picking 4 d.\n' | b'143/612\n' | deepmind/math_dataset |
b'Let v(x) = -33*x**2 - 43*x + 1. Let r(t) = 17*t**2 + 21*t - 1. Let i(c) = -5*r(c) - 2*v(c). What is the second derivative of i(a) wrt a?\n' | b'-38\n' | b'Let v(x) = -33*x**2 - 43*x + 1. Let r(t) = 17*t**2 + 21*t - 1. Let i(c) = -5*r(c) - 2*v(c). What is the second derivative of i(a) wrt a?\n' | b'-38\n' | deepmind/math_dataset |
b'Let r(m) = 5*m**3 - 42*m**2 + 48*m + 7. Let s be r(7). Solve 73*a - 76*a + 4*y + 19 = 0, s = 3*a + y + 1 for a.\n' | b'1\n' | b'Let r(m) = 5*m**3 - 42*m**2 + 48*m + 7. Let s be r(7). Solve 73*a - 76*a + 4*y + 19 = 0, s = 3*a + y + 1 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let r(q) = q**3 + 2*q**2 + 3*q + 1. Let f be (3 - 16/6)/(3/117). Suppose -f*j - 38 = 6*j. Calculate r(j).\n' | b'-5\n' | b'Let r(q) = q**3 + 2*q**2 + 3*q + 1. Let f be (3 - 16/6)/(3/117). Suppose -f*j - 38 = 6*j. Calculate r(j).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((m**(-2/7))**(-2/21)/((m/(m/((m**2/m)/m))*m)/m*m)**(-1/6))/(m**(-4)/((m/(m*m/m**(-2/15)*m))/m)*(m**(-2))**(-17/2)) assuming m is positive.\n' | b'm**(-23431/1470)\n' | b'Simplify ((m**(-2/7))**(-2/21)/((m/(m/((m**2/m)/m))*m)/m*m)**(-1/6))/(m**(-4)/((m/(m*m/m**(-2/15)*m))/m)*(m**(-2))**(-17/2)) assuming m is positive.\n' | b'm**(-23431/1470)\n' | deepmind/math_dataset |
b'Suppose 10 = -5*t - 5*n + n, -4*n = 2*t + 16. Let o = -242 - -244. Solve 0 = 2*f - t*j + 20, 3*f - 4*j + 45 = -o*f for f.\n' | b'-5\n' | b'Suppose 10 = -5*t - 5*n + n, -4*n = 2*t + 16. Let o = -242 - -244. Solve 0 = 2*f - t*j + 20, 3*f - 4*j + 45 = -o*f for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 11*o = 6*o - 3*s + 25, 1 = 3*o - s. Find the third derivative of 65*v - 55*v**3 - 36*v + o*v**2 + 6*v - 3*v wrt v.\n' | b'-330\n' | b'Suppose 11*o = 6*o - 3*s + 25, 1 = 3*o - s. Find the third derivative of 65*v - 55*v**3 - 36*v + o*v**2 + 6*v - 3*v wrt v.\n' | b'-330\n' | deepmind/math_dataset |
b'Let w(b) be the third derivative of 0*b**6 + 0 - 3/20*b**5 - 2/21*b**7 + 0*b**4 + 0*b**3 + 0*b + 24*b**2. Find the third derivative of w(y) wrt y.\n' | b'-480*y\n' | b'Let w(b) be the third derivative of 0*b**6 + 0 - 3/20*b**5 - 2/21*b**7 + 0*b**4 + 0*b**3 + 0*b + 24*b**2. Find the third derivative of w(y) wrt y.\n' | b'-480*y\n' | deepmind/math_dataset |
b'What is prob of sequence vev when three letters picked without replacement from {e: 1, q: 1, z: 11, v: 2, p: 2, n: 2}?\n' | b'1/2907\n' | b'What is prob of sequence vev when three letters picked without replacement from {e: 1, q: 1, z: 11, v: 2, p: 2, n: 2}?\n' | b'1/2907\n' | deepmind/math_dataset |
b'Simplify b*b**(-2)*b*((((b*(b**(-1)/b)/b*b*b*b*b*b)/b)/b)/b)/b*(b/(b/(b*b**(1/3))))**(-7)*((b/b**5)/(b**3*b))**(2/19) assuming b is positive.\n' | b'b**(-637/57)\n' | b'Simplify b*b**(-2)*b*((((b*(b**(-1)/b)/b*b*b*b*b*b)/b)/b)/b)/b*(b/(b/(b*b**(1/3))))**(-7)*((b/b**5)/(b**3*b))**(2/19) assuming b is positive.\n' | b'b**(-637/57)\n' | deepmind/math_dataset |
b'Simplify ((r**(3/8)/r)/(r/(r*r**(1/6)))*r**3/r**(1/3))/((r**(2/13)*r*(r/(r*r*r**(4/5)*r))/r*r)/(r**(2/7))**(-16)) assuming r is positive.\n' | b'r**(-7829/10920)\n' | b'Simplify ((r**(3/8)/r)/(r/(r*r**(1/6)))*r**3/r**(1/3))/((r**(2/13)*r*(r/(r*r*r**(4/5)*r))/r*r)/(r**(2/7))**(-16)) assuming r is positive.\n' | b'r**(-7829/10920)\n' | deepmind/math_dataset |
b'Differentiate 4 + 75 + 96*c - 34*c + 14 wrt c.\n' | b'62\n' | b'Differentiate 4 + 75 + 96*c - 34*c + 14 wrt c.\n' | b'62\n' | deepmind/math_dataset |
b'Let m(x) = x**4 - x**3 + x**2 - 1. Let s(b) = -19*b**4 + 2*b**3 - 2*b**2 - 12. Let l = 11 + -9. Let z(p) = l*m(p) + s(p). Differentiate z(t) with respect to t.\n' | b'-68*t**3\n' | b'Let m(x) = x**4 - x**3 + x**2 - 1. Let s(b) = -19*b**4 + 2*b**3 - 2*b**2 - 12. Let l = 11 + -9. Let z(p) = l*m(p) + s(p). Differentiate z(t) with respect to t.\n' | b'-68*t**3\n' | deepmind/math_dataset |
b'Simplify ((v**3)**(-2/63))**(-24/11) assuming v is positive.\n' | b'v**(16/77)\n' | b'Simplify ((v**3)**(-2/63))**(-24/11) assuming v is positive.\n' | b'v**(16/77)\n' | deepmind/math_dataset |
b'Simplify (g/g**12*(g/(g*g**(1/21)))/g*g)/(((g/g**(-3/5))/g)/g**(1/4)) assuming g is positive.\n' | b'g**(-4787/420)\n' | b'Simplify (g/g**12*(g/(g*g**(1/21)))/g*g)/(((g/g**(-3/5))/g)/g**(1/4)) assuming g is positive.\n' | b'g**(-4787/420)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ieiieeiqieieeieeeie. What is prob of picking 2 e and 2 i?\n' | b'105/323\n' | b'Four letters picked without replacement from ieiieeiqieieeieeeie. What is prob of picking 2 e and 2 i?\n' | b'105/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, i: 1, o: 5, a: 2, e: 1, q: 1}. What is prob of picking 1 q, 1 l, 1 e, and 1 a?\n' | b'6/715\n' | b'Four letters picked without replacement from {l: 3, i: 1, o: 5, a: 2, e: 1, q: 1}. What is prob of picking 1 q, 1 l, 1 e, and 1 a?\n' | b'6/715\n' | deepmind/math_dataset |
b'Let a be (-200)/24*864/(-240). Solve 5*d - 5*k - a = -0*d, -3*d + 4*k = -24 for d.\n' | b'0\n' | b'Let a be (-200)/24*864/(-240). Solve 5*d - 5*k - a = -0*d, -3*d + 4*k = -24 for d.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 6, x: 4, a: 3}. Give prob of picking 3 a and 1 x.\n' | b'4/715\n' | b'Four letters picked without replacement from {j: 6, x: 4, a: 3}. Give prob of picking 3 a and 1 x.\n' | b'4/715\n' | deepmind/math_dataset |
b'Simplify ((i*i**27)/i)/i**(-7) assuming i is positive.\n' | b'i**34\n' | b'Simplify ((i*i**27)/i)/i**(-7) assuming i is positive.\n' | b'i**34\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qjyjjjyqjcjjcjjqy. Give prob of picking 1 q and 1 y.\n' | b'9/136\n' | b'Two letters picked without replacement from qjyjjjyqjcjjcjjqy. Give prob of picking 1 q and 1 y.\n' | b'9/136\n' | deepmind/math_dataset |
b'Simplify ((j**(-3/4)/(j**(-7/5)/j))/(j**(-4)*j/j**(1/9)))/((j/j**1)/j**(-1/4)*j*((j/(j/j**(2/5)))/j)/j*j*(j*j**2)/j) assuming j is positive.\n' | b'j**(19/9)\n' | b'Simplify ((j**(-3/4)/(j**(-7/5)/j))/(j**(-4)*j/j**(1/9)))/((j/j**1)/j**(-1/4)*j*((j/(j/j**(2/5)))/j)/j*j*(j*j**2)/j) assuming j is positive.\n' | b'j**(19/9)\n' | deepmind/math_dataset |
b'Suppose -l + 84 = 3*l. Let t = l + 2. What is the second derivative of -4*c**5 - t*c**3 + 23*c**3 - 3*c wrt c?\n' | b'-80*c**3\n' | b'Suppose -l + 84 = 3*l. Let t = l + 2. What is the second derivative of -4*c**5 - t*c**3 + 23*c**3 - 3*c wrt c?\n' | b'-80*c**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, k: 2, g: 1, u: 5}. Give prob of picking 1 k and 1 g.\n' | b'1/18\n' | b'Two letters picked without replacement from {v: 1, k: 2, g: 1, u: 5}. Give prob of picking 1 k and 1 g.\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify (((r*r*r*(r*r**(-1/3))/r)/r)**(-33/5))**21 assuming r is positive.\n' | b'r**(-231)\n' | b'Simplify (((r*r*r*(r*r**(-1/3))/r)/r)**(-33/5))**21 assuming r is positive.\n' | b'r**(-231)\n' | deepmind/math_dataset |
b'Let q = 316 - 316. Solve q*g + g = j, -g + 12 = -5*j for g.\n' | b'-3\n' | b'Let q = 316 - 316. Solve q*g + g = j, -g + 12 = -5*j for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, q: 1, j: 4, v: 4, r: 1}. Give prob of picking 4 v.\n' | b'1/715\n' | b'Four letters picked without replacement from {u: 3, q: 1, j: 4, v: 4, r: 1}. Give prob of picking 4 v.\n' | b'1/715\n' | deepmind/math_dataset |
b'Let v(q) be the third derivative of q**9/252 - 37*q**8/336 - 49*q**6/120 - 2249*q**5/30 + 1181*q**2. Find the third derivative of v(w) wrt w.\n' | b'240*w**3 - 2220*w**2 - 294\n' | b'Let v(q) be the third derivative of q**9/252 - 37*q**8/336 - 49*q**6/120 - 2249*q**5/30 + 1181*q**2. Find the third derivative of v(w) wrt w.\n' | b'240*w**3 - 2220*w**2 - 294\n' | deepmind/math_dataset |
b'Suppose -5*o - 6 = 4*m, 9*o - 30 = 4*o + 5*m. Solve -4*n = -o*b - 10, 2*b - 19*n + 8 = -17*n for b.\n' | b'-3\n' | b'Suppose -5*o - 6 = 4*m, 9*o - 30 = 4*o + 5*m. Solve -4*n = -o*b - 10, 2*b - 19*n + 8 = -17*n for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = -0*a - 4*a + 8. Let i be 4*2/8*a. What is the third derivative of -3*z**2 + 3*z**4 + 4*z**i - z**4 wrt z?\n' | b'48*z\n' | b'Suppose 0 = -0*a - 4*a + 8. Let i be 4*2/8*a. What is the third derivative of -3*z**2 + 3*z**4 + 4*z**i - z**4 wrt z?\n' | b'48*z\n' | deepmind/math_dataset |
b'Let p(t) = -t**3 - 20*t**2 - 19*t + 7. Let q be p(-19). Let v(r) = r**2 - 4*r - 6. Determine v(q).\n' | b'15\n' | b'Let p(t) = -t**3 - 20*t**2 - 19*t + 7. Let q be p(-19). Let v(r) = r**2 - 4*r - 6. Determine v(q).\n' | b'15\n' | deepmind/math_dataset |
b'Let v = 36 - 37. Let n(b) = -7*b**3 + 3*b**2 + 3*b + 4. Let p(r) = -15*r**3 + 5*r**2 + 5*r + 7. Let a(h) = 7*n(h) - 4*p(h). Calculate a(v).\n' | b'-11\n' | b'Let v = 36 - 37. Let n(b) = -7*b**3 + 3*b**2 + 3*b + 4. Let p(r) = -15*r**3 + 5*r**2 + 5*r + 7. Let a(h) = 7*n(h) - 4*p(h). Calculate a(v).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (((z*z**20)/z**9)/(z*z/(z*(z/z**(-1/2))/z)*z**(-1/2)))**(-6) assuming z is positive.\n' | b'z**(-72)\n' | b'Simplify (((z*z**20)/z**9)/(z*z/(z*(z/z**(-1/2))/z)*z**(-1/2)))**(-6) assuming z is positive.\n' | b'z**(-72)\n' | deepmind/math_dataset |
b'Let i(h) = -5*h**3 + 4*h. Let l(n) = -n. Suppose 0*k + p - 5 = k, 0 = 4*k + 4*p - 12. Let d(o) = k*i(o) - 2*l(o). What is the second derivative of d(m) wrt m?\n' | b'30*m\n' | b'Let i(h) = -5*h**3 + 4*h. Let l(n) = -n. Suppose 0*k + p - 5 = k, 0 = 4*k + 4*p - 12. Let d(o) = k*i(o) - 2*l(o). What is the second derivative of d(m) wrt m?\n' | b'30*m\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from xloofaoaofaff?\n' | b'1/13\n' | b'What is prob of picking 2 f when two letters picked without replacement from xloofaoaofaff?\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from xxx?\n' | b'1\n' | b'What is prob of picking 2 x when two letters picked without replacement from xxx?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jqjqcjqjjjqjjqjjj. Give prob of sequence jc.\n' | b'11/272\n' | b'Two letters picked without replacement from jqjqcjqjjjqjjqjjj. Give prob of sequence jc.\n' | b'11/272\n' | deepmind/math_dataset |
b'Let h(p) be the first derivative of 1/3*p**3 + 5 + 5/2*p**2 - 2*p. Let x be (-23)/5 + 8/(-20)*1. Determine h(x).\n' | b'-2\n' | b'Let h(p) be the first derivative of 1/3*p**3 + 5 + 5/2*p**2 - 2*p. Let x be (-23)/5 + 8/(-20)*1. Determine h(x).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eedd when four letters picked without replacement from dddddee.\n' | b'1/21\n' | b'Calculate prob of sequence eedd when four letters picked without replacement from dddddee.\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 12, d: 3}. Give prob of picking 2 e and 2 d.\n' | b'66/455\n' | b'Four letters picked without replacement from {e: 12, d: 3}. Give prob of picking 2 e and 2 d.\n' | b'66/455\n' | deepmind/math_dataset |
b'Simplify ((f**(-11/3))**(-2/21))**26 assuming f is positive.\n' | b'f**(572/63)\n' | b'Simplify ((f**(-11/3))**(-2/21))**26 assuming f is positive.\n' | b'f**(572/63)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyyayiii. What is prob of picking 3 y?\n' | b'1/14\n' | b'Three letters picked without replacement from yyyayiii. What is prob of picking 3 y?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let u(x) be the first derivative of 372*x**5/5 - 3*x**4/2 - 1031*x**3/3 + 698. What is the third derivative of u(k) wrt k?\n' | b'8928*k - 36\n' | b'Let u(x) be the first derivative of 372*x**5/5 - 3*x**4/2 - 1031*x**3/3 + 698. What is the third derivative of u(k) wrt k?\n' | b'8928*k - 36\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 10}. What is prob of picking 3 e?\n' | b'1\n' | b'Three letters picked without replacement from {e: 10}. What is prob of picking 3 e?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, t: 2, z: 1, a: 2, v: 2}. Give prob of sequence vt.\n' | b'1/14\n' | b'Two letters picked without replacement from {i: 1, t: 2, z: 1, a: 2, v: 2}. Give prob of sequence vt.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let o(m) be the first derivative of 0*m - 2/5*m**5 - 3/2*m**2 - 103 - 2/3*m**3 - 77/4*m**4. What is the third derivative of o(q) wrt q?\n' | b'-48*q - 462\n' | b'Let o(m) be the first derivative of 0*m - 2/5*m**5 - 3/2*m**2 - 103 - 2/3*m**3 - 77/4*m**4. What is the third derivative of o(q) wrt q?\n' | b'-48*q - 462\n' | deepmind/math_dataset |
b'Simplify (d*d/(d**(1/3)*d))/((d*d**(6/5)/d)/d)*d**17*d/(d/d**(-6/5)) assuming d is positive.\n' | b'd**(244/15)\n' | b'Simplify (d*d/(d**(1/3)*d))/((d*d**(6/5)/d)/d)*d**17*d/(d/d**(-6/5)) assuming d is positive.\n' | b'd**(244/15)\n' | deepmind/math_dataset |
b'Let n(f) be the first derivative of -4*f**6/15 - 5*f**2 - 3*f - 5. Let x(w) be the first derivative of n(w). Differentiate x(u) with respect to u.\n' | b'-32*u**3\n' | b'Let n(f) be the first derivative of -4*f**6/15 - 5*f**2 - 3*f - 5. Let x(w) be the first derivative of n(w). Differentiate x(u) with respect to u.\n' | b'-32*u**3\n' | deepmind/math_dataset |
b'Let f(q) be the first derivative of -540*q**4 + 3677*q**3/3 - 3454. What is the third derivative of f(k) wrt k?\n' | b'-12960\n' | b'Let f(q) be the first derivative of -540*q**4 + 3677*q**3/3 - 3454. What is the third derivative of f(k) wrt k?\n' | b'-12960\n' | deepmind/math_dataset |
b'Let b be (-2)/(-2*(-1)/(-5)). Find the second derivative of y - 2*y + 2*y**b + 0*y wrt y.\n' | b'40*y**3\n' | b'Let b be (-2)/(-2*(-1)/(-5)). Find the second derivative of y - 2*y + 2*y**b + 0*y wrt y.\n' | b'40*y**3\n' | deepmind/math_dataset |
b'What is the second derivative of 42*t + 0 + 52*t**4 - 28*t + 0 wrt t?\n' | b'624*t**2\n' | b'What is the second derivative of 42*t + 0 + 52*t**4 - 28*t + 0 wrt t?\n' | b'624*t**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, e: 1, x: 1, s: 1, i: 2}. What is prob of picking 1 x and 1 i?\n' | b'2/21\n' | b'Two letters picked without replacement from {z: 2, e: 1, x: 1, s: 1, i: 2}. What is prob of picking 1 x and 1 i?\n' | b'2/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 3, t: 4, r: 13}. Give prob of picking 3 r.\n' | b'143/570\n' | b'Three letters picked without replacement from {y: 3, t: 4, r: 13}. Give prob of picking 3 r.\n' | b'143/570\n' | deepmind/math_dataset |
b'What is prob of sequence roo when three letters picked without replacement from oroorrrooorror?\n' | b'7/52\n' | b'What is prob of sequence roo when three letters picked without replacement from oroorrrooorror?\n' | b'7/52\n' | deepmind/math_dataset |
b'Simplify ((n*n*(n*n**(-8)/n)/n)/n)**(-1/3)*n*n**(-26)*n/n**21 assuming n is positive.\n' | b'n**(-127/3)\n' | b'Simplify ((n*n*(n*n**(-8)/n)/n)/n)**(-1/3)*n*n**(-26)*n/n**21 assuming n is positive.\n' | b'n**(-127/3)\n' | deepmind/math_dataset |
b'Suppose -6*d = -d - 35. Suppose -10 = -b - d. Solve -4*k = 2*i + 3*i - 15, 0 = -b*i - 3 for k.\n' | b'5\n' | b'Suppose -6*d = -d - 35. Suppose -10 = -b - d. Solve -4*k = 2*i + 3*i - 15, 0 = -b*i - 3 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let i(a) = 4*a**2 + 32*a - 22. Let j(s) = -s**2 - 11*s + 7. Let y(f) = -2*i(f) - 7*j(f). Let u be y(12). Solve -5*k = 10, -u = o + 2*o - k for o.\n' | b'-3\n' | b'Let i(a) = 4*a**2 + 32*a - 22. Let j(s) = -s**2 - 11*s + 7. Let y(f) = -2*i(f) - 7*j(f). Let u be y(12). Solve -5*k = 10, -u = o + 2*o - k for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -6 = -6*w + 4*w. Let y = 38 - 34. Solve 5*a + y*x - 2 = -4, -3*x = w*a + 3 for a.\n' | b'2\n' | b'Suppose -6 = -6*w + 4*w. Let y = 38 - 34. Solve 5*a + y*x - 2 = -4, -3*x = w*a + 3 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let x be 3/(-6) - (-13)/2. Let s(h) = h**2 + 5 + x*h - 2 - 1 + 0. Let l = -17 - -12. Determine s(l).\n' | b'-3\n' | b'Let x be 3/(-6) - (-13)/2. Let s(h) = h**2 + 5 + x*h - 2 - 1 + 0. Let l = -17 - -12. Determine s(l).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify x**(14/3)*x*x/x**15*(x**(-1/2))**(-7/3) assuming x is positive.\n' | b'x**(-43/6)\n' | b'Simplify x**(14/3)*x*x/x**15*(x**(-1/2))**(-7/3) assuming x is positive.\n' | b'x**(-43/6)\n' | deepmind/math_dataset |
b'Suppose 5*t + 4 = 4*t. Let c(l) be the second derivative of -l**4/12 - l**3/6 + 3*l**2/2 - 2*l. Calculate c(t).\n' | b'-9\n' | b'Suppose 5*t + 4 = 4*t. Let c(l) be the second derivative of -l**4/12 - l**3/6 + 3*l**2/2 - 2*l. Calculate c(t).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 2*b = -4*w + 8, -2*b - 6 = -6*b + 2*w. Let c(r) = r**3 - 3*r + 1. Calculate c(b).\n' | b'3\n' | b'Suppose 2*b = -4*w + 8, -2*b - 6 = -6*b + 2*w. Let c(r) = r**3 - 3*r + 1. Calculate c(b).\n' | b'3\n' | deepmind/math_dataset |
b'Let h(r) = 6*r**3 - 4*r + 0 - 3*r**3 + 3 + 2*r**3. Let g(d) = 4*d**3 - 3*d + 3. Let f(y) = 4*g(y) - 3*h(y). Find the first derivative of f(i) wrt i.\n' | b'3*i**2\n' | b'Let h(r) = 6*r**3 - 4*r + 0 - 3*r**3 + 3 + 2*r**3. Let g(d) = 4*d**3 - 3*d + 3. Let f(y) = 4*g(y) - 3*h(y). Find the first derivative of f(i) wrt i.\n' | b'3*i**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xehebepehe. What is prob of sequence bx?\n' | b'1/90\n' | b'Two letters picked without replacement from xehebepehe. What is prob of sequence bx?\n' | b'1/90\n' | deepmind/math_dataset |
b'Simplify (((i/(i*i/(i**(1/4)*i)*i))/i)**(1/3))**(14/11) assuming i is positive.\n' | b'i**(-49/66)\n' | b'Simplify (((i/(i*i/(i**(1/4)*i)*i))/i)**(1/3))**(14/11) assuming i is positive.\n' | b'i**(-49/66)\n' | deepmind/math_dataset |
b'Simplify (z/z**(1/3)*z**(-10))/(z*((z/z**1)/z)/z)**(-37) assuming z is positive.\n' | b'z**(-139/3)\n' | b'Simplify (z/z**(1/3)*z**(-10))/(z*((z/z**1)/z)/z)**(-37) assuming z is positive.\n' | b'z**(-139/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xrhhs. What is prob of picking 1 h and 1 r?\n' | b'1/5\n' | b'Two letters picked without replacement from xrhhs. What is prob of picking 1 h and 1 r?\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from witbiiiwttbwiiwibtib. What is prob of picking 1 w and 1 i?\n' | b'16/95\n' | b'Two letters picked without replacement from witbiiiwttbwiiwibtib. What is prob of picking 1 w and 1 i?\n' | b'16/95\n' | deepmind/math_dataset |
b'Suppose -2 = 9*c - 20. Let v(w) = 7*w**3 - w**2 + 157 - c*w - 158 + 0*w. Give v(-1).\n' | b'-7\n' | b'Suppose -2 = 9*c - 20. Let v(w) = 7*w**3 - w**2 + 157 - c*w - 158 + 0*w. Give v(-1).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence hjjj when four letters picked without replacement from {x: 2, h: 6, l: 3, c: 1, j: 3}.\n' | b'1/910\n' | b'Calculate prob of sequence hjjj when four letters picked without replacement from {x: 2, h: 6, l: 3, c: 1, j: 3}.\n' | b'1/910\n' | deepmind/math_dataset |
b'Let w(u) = -13*u**2 + 4*u - 106. Let q = 401 - 404. Let h(p) = -12*p**2 + 4*p - 108. Let v(d) = q*h(d) + 2*w(d). Differentiate v(f) wrt f.\n' | b'20*f - 4\n' | b'Let w(u) = -13*u**2 + 4*u - 106. Let q = 401 - 404. Let h(p) = -12*p**2 + 4*p - 108. Let v(d) = q*h(d) + 2*w(d). Differentiate v(f) wrt f.\n' | b'20*f - 4\n' | deepmind/math_dataset |
b'What is prob of picking 4 y when four letters picked without replacement from {t: 2, y: 5}?\n' | b'1/7\n' | b'What is prob of picking 4 y when four letters picked without replacement from {t: 2, y: 5}?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of sequence www when three letters picked without replacement from {w: 7, h: 2}?\n' | b'5/12\n' | b'What is prob of sequence www when three letters picked without replacement from {w: 7, h: 2}?\n' | b'5/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 1, q: 7}. What is prob of picking 3 q?\n' | b'5/8\n' | b'Three letters picked without replacement from {r: 1, q: 7}. What is prob of picking 3 q?\n' | b'5/8\n' | deepmind/math_dataset |
b'What is the second derivative of 19*x + 16 + 11 - 58 + 12 + 213*x**2 + 15 wrt x?\n' | b'426\n' | b'What is the second derivative of 19*x + 16 + 11 - 58 + 12 + 213*x**2 + 15 wrt x?\n' | b'426\n' | deepmind/math_dataset |
b'Let w(z) = -z**2 - 5*z + 2. Let q be w(-6). Let g(r) = r + 8. Let d be g(q). Differentiate -d*j - j**2 + 4*j - 10 - j**2 with respect to j.\n' | b'-4*j\n' | b'Let w(z) = -z**2 - 5*z + 2. Let q be w(-6). Let g(r) = r + 8. Let d be g(q). Differentiate -d*j - j**2 + 4*j - 10 - j**2 with respect to j.\n' | b'-4*j\n' | deepmind/math_dataset |
b'What is prob of sequence yy when two letters picked without replacement from {y: 7}?\n' | b'1\n' | b'What is prob of sequence yy when two letters picked without replacement from {y: 7}?\n' | b'1\n' | deepmind/math_dataset |
b'Let n(v) = v - 1. Let t(c) = -4*c - 5. Let d(f) = 3*n(f) - t(f). What is d(4)?\n' | b'30\n' | b'Let n(v) = v - 1. Let t(c) = -4*c - 5. Let d(f) = 3*n(f) - t(f). What is d(4)?\n' | b'30\n' | deepmind/math_dataset |
b'Simplify ((q**(3/4)*q)**(1/15))**(2/11) assuming q is positive.\n' | b'q**(7/330)\n' | b'Simplify ((q**(3/4)*q)**(1/15))**(2/11) assuming q is positive.\n' | b'q**(7/330)\n' | deepmind/math_dataset |
b'Simplify z**(-13)*z*((z**(1/2)/z)/z)/z assuming z is positive.\n' | b'z**(-29/2)\n' | b'Simplify z**(-13)*z*((z**(1/2)/z)/z)/z assuming z is positive.\n' | b'z**(-29/2)\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 f when four letters picked without replacement from nffnffnfff.\n' | b'1/6\n' | b'Calculate prob of picking 4 f when four letters picked without replacement from nffnffnfff.\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pygrdpgppdrdppppp. What is prob of picking 1 p and 2 g?\n' | b'9/680\n' | b'Three letters picked without replacement from pygrdpgppdrdppppp. What is prob of picking 1 p and 2 g?\n' | b'9/680\n' | deepmind/math_dataset |
b'What is prob of sequence ttn when three letters picked without replacement from {n: 1, t: 2}?\n' | b'1/3\n' | b'What is prob of sequence ttn when three letters picked without replacement from {n: 1, t: 2}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify j**(-17)*j**(3/14)*j assuming j is positive.\n' | b'j**(-221/14)\n' | b'Simplify j**(-17)*j**(3/14)*j assuming j is positive.\n' | b'j**(-221/14)\n' | deepmind/math_dataset |
b'Suppose -97 - 38 = -5*j - 2*d, 0 = j - 3*d - 27. Let u be 1/(2/(-4*j)). Let i = u + 64. Solve 3*z - 5*w + 4 = 0, -2*w + i + 3 = -5*z for z.\n' | b'-3\n' | b'Suppose -97 - 38 = -5*j - 2*d, 0 = j - 3*d - 27. Let u be 1/(2/(-4*j)). Let i = u + 64. Solve 3*z - 5*w + 4 = 0, -2*w + i + 3 = -5*z for z.\n' | b'-3\n' | deepmind/math_dataset |
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