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 ((v/v**(2/3))**(-47))**(-12/5)/((v**(1/4))**(3/34)*(v/v**4*v*v*v*v*v)/(v/(v*v**(1/3)))) assuming v is positive.\n' | b'v**(71899/2040)\n' | b'Simplify ((v/v**(2/3))**(-47))**(-12/5)/((v**(1/4))**(3/34)*(v/v**4*v*v*v*v*v)/(v/(v*v**(1/3)))) assuming v is positive.\n' | b'v**(71899/2040)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 2, y: 5, d: 5}. Give prob of picking 3 d and 1 y.\n' | b'10/99\n' | b'Four letters picked without replacement from {i: 2, y: 5, d: 5}. Give prob of picking 3 d and 1 y.\n' | b'10/99\n' | deepmind/math_dataset |
b'Let m be 4 - (4/10 + 1962/(-30)). What is the first derivative of m - 33 + 64*y**3 - y + 89 wrt y?\n' | b'192*y**2 - 1\n' | b'Let m be 4 - (4/10 + 1962/(-30)). What is the first derivative of m - 33 + 64*y**3 - y + 89 wrt y?\n' | b'192*y**2 - 1\n' | deepmind/math_dataset |
b'Find the third derivative of -105*q**5 - 40*q**2 + 8*q**5 - 37*q**2 - 42*q**5 - 16*q**5 wrt q.\n' | b'-9300*q**2\n' | b'Find the third derivative of -105*q**5 - 40*q**2 + 8*q**5 - 37*q**2 - 42*q**5 - 16*q**5 wrt q.\n' | b'-9300*q**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbiiippbbp. Give prob of picking 1 b, 2 p, and 1 i.\n' | b'3/22\n' | b'Four letters picked without replacement from bbbiiippbbp. Give prob of picking 1 b, 2 p, and 1 i.\n' | b'3/22\n' | deepmind/math_dataset |
b'Let r(a) = 2*a**3 - a**2 - 3*a. Let c(l) = 9*l**3 - 11*l**2 - 8*l + 5. Let x(f) = -c(f) + 4*r(f). What is x(6)?\n' | b'7\n' | b'Let r(a) = 2*a**3 - a**2 - 3*a. Let c(l) = 9*l**3 - 11*l**2 - 8*l + 5. Let x(f) = -c(f) + 4*r(f). What is x(6)?\n' | b'7\n' | deepmind/math_dataset |
b'Let s(y) be the first derivative of y**10/120 - y**6/180 - 2*y**3 + 6. Let x(h) be the third derivative of s(h). What is the third derivative of x(z) wrt z?\n' | b'5040*z**3\n' | b'Let s(y) be the first derivative of y**10/120 - y**6/180 - 2*y**3 + 6. Let x(h) be the third derivative of s(h). What is the third derivative of x(z) wrt z?\n' | b'5040*z**3\n' | deepmind/math_dataset |
b'What is the third derivative of 7 + 46*h**3 + 952*h**2 - 16*h**4 - 922*h**2 + 26*h**3 - 11*h**3 + 2*h - 1 wrt h?\n' | b'-384*h + 366\n' | b'What is the third derivative of 7 + 46*h**3 + 952*h**2 - 16*h**4 - 922*h**2 + 26*h**3 - 11*h**3 + 2*h - 1 wrt h?\n' | b'-384*h + 366\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 18, t: 2}?\n' | b'18/95\n' | b'What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 18, t: 2}?\n' | b'18/95\n' | deepmind/math_dataset |
b'Let a = -84 - -142. Let m = a + -55. Solve m*z - 3*c = 6, 0 = z + 5*c + 34 - 6 for z.\n' | b'-3\n' | b'Let a = -84 - -142. Let m = a + -55. Solve m*z - 3*c = 6, 0 = z + 5*c + 34 - 6 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*y = 8*y. Let d be 0*(-4)/(-16) + y. Find the second derivative of -2*k**2 - 2*k**2 + 4*k + d*k**2 wrt k.\n' | b'-8\n' | b'Suppose 5*y = 8*y. Let d be 0*(-4)/(-16) + y. Find the second derivative of -2*k**2 - 2*k**2 + 4*k + d*k**2 wrt k.\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {u: 7, q: 11, f: 2}.\n' | b'11/95\n' | b'Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {u: 7, q: 11, f: 2}.\n' | b'11/95\n' | deepmind/math_dataset |
b'Suppose -5*x + 29 = 3*p, -23*p - 9 = -22*p - 3*x. Solve -16*v + 20*v = s + 18, -p*v = 3*s - 21 for v.\n' | b'5\n' | b'Suppose -5*x + 29 = 3*p, -23*p - 9 = -22*p - 3*x. Solve -16*v + 20*v = s + 18, -p*v = 3*s - 21 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence nt when two letters picked without replacement from {e: 3, u: 2, t: 5, n: 3}.\n' | b'5/52\n' | b'Calculate prob of sequence nt when two letters picked without replacement from {e: 3, u: 2, t: 5, n: 3}.\n' | b'5/52\n' | deepmind/math_dataset |
b'Suppose -5*a + a + 12 = 0. Let g be 9/a*(-10)/(-6). Solve -4*r = -m - 20, -r + g = -0*m + 4*m for m.\n' | b'0\n' | b'Suppose -5*a + a + 12 = 0. Let g be 9/a*(-10)/(-6). Solve -4*r = -m - 20, -r + g = -0*m + 4*m for m.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {h: 1, k: 1, n: 2}.\n' | b'1/4\n' | b'Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {h: 1, k: 1, n: 2}.\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of sequence xlx when three letters picked without replacement from kwlkkwxwxw?\n' | b'1/360\n' | b'What is prob of sequence xlx when three letters picked without replacement from kwlkkwxwxw?\n' | b'1/360\n' | deepmind/math_dataset |
b'Simplify ((k**(-2/59))**(-2/41))**(-44) assuming k is positive.\n' | b'k**(-176/2419)\n' | b'Simplify ((k**(-2/59))**(-2/41))**(-44) assuming k is positive.\n' | b'k**(-176/2419)\n' | deepmind/math_dataset |
b'Suppose -2*b + 5*b - 15 = 0, 5*h + 4*b = 0. Let d(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/2 - 2*y**2 - 2128*y + 3. Give d(h).\n' | b'0\n' | b'Suppose -2*b + 5*b - 15 = 0, 5*h + 4*b = 0. Let d(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/2 - 2*y**2 - 2128*y + 3. Give d(h).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 4, g: 1, l: 11, y: 1}. What is prob of picking 2 j?\n' | b'3/68\n' | b'Two letters picked without replacement from {j: 4, g: 1, l: 11, y: 1}. What is prob of picking 2 j?\n' | b'3/68\n' | deepmind/math_dataset |
b'What is prob of sequence cpp when three letters picked without replacement from bggbcbppbg?\n' | b'1/360\n' | b'What is prob of sequence cpp when three letters picked without replacement from bggbcbppbg?\n' | b'1/360\n' | deepmind/math_dataset |
b'Simplify (i*i/(i/(i/((i/i**(1/19))/i)))*((i/(i**(-1/2)/i))/i)/i)/((i**(-16)*i)/((i/i**(1/4))/i)) assuming i is positive.\n' | b'i**(1315/76)\n' | b'Simplify (i*i/(i/(i/((i/i**(1/19))/i)))*((i/(i**(-1/2)/i))/i)/i)/((i**(-16)*i)/((i/i**(1/4))/i)) assuming i is positive.\n' | b'i**(1315/76)\n' | deepmind/math_dataset |
b'Suppose 4*k = k + 12. Let c(n) = 5*n**2 - 3*n - k*n**2 - 5*n**2 + 3 + 5*n**2. Let r be c(4). Solve -2*z - d + 0 = -r, d + 3 = 0 for z.\n' | b'5\n' | b'Suppose 4*k = k + 12. Let c(n) = 5*n**2 - 3*n - k*n**2 - 5*n**2 + 3 + 5*n**2. Let r be c(4). Solve -2*z - d + 0 = -r, d + 3 = 0 for z.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (j*j/((j/(j*j**(-1/6)*j))/j)*j*j*j*j/j**(-19))/((j*j/(j*(j*j**7)/j))/j*j/j**(3/10)) assuming j is positive.\n' | b'j**(497/15)\n' | b'Simplify (j*j/((j/(j*j**(-1/6)*j))/j)*j*j*j*j/j**(-19))/((j*j/(j*(j*j**7)/j))/j*j/j**(3/10)) assuming j is positive.\n' | b'j**(497/15)\n' | deepmind/math_dataset |
b'Suppose -7*s - 19 = 3*l - 2*s, 5*s + 29 = 2*l. Suppose 4*p + 3*q = 21, 0 = -2*p + q - l + 5. Solve 0 = -3*k - p*g, 3 = -k - k + g for k.\n' | b'-1\n' | b'Suppose -7*s - 19 = 3*l - 2*s, 5*s + 29 = 2*l. Suppose 4*p + 3*q = 21, 0 = -2*p + q - l + 5. Solve 0 = -3*k - p*g, 3 = -k - k + g for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (s**0)**40*(s**2*s)/((s*s**(-1)*s)/s)*s**(1/6)*s*s**(2/19)*s**7*s**(-1) assuming s is positive.\n' | b's**(1171/114)\n' | b'Simplify (s**0)**40*(s**2*s)/((s*s**(-1)*s)/s)*s**(1/6)*s*s**(2/19)*s**7*s**(-1) assuming s is positive.\n' | b's**(1171/114)\n' | deepmind/math_dataset |
b'Let q(m) be the first derivative of 3*m**2/2 + 24*m - 19. What is the first derivative of q(c) wrt c?\n' | b'3\n' | b'Let q(m) be the first derivative of 3*m**2/2 + 24*m - 19. What is the first derivative of q(c) wrt c?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 25 = 2*g + 3. Suppose -s = -g - 5. Let f = -44 - -46. Solve -a = f*p - 1, 4*a + 0 = 4*p + s for a.\n' | b'3\n' | b'Suppose 25 = 2*g + 3. Suppose -s = -g - 5. Let f = -44 - -46. Solve -a = f*p - 1, 4*a + 0 = 4*p + s for a.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (x**(-13/5)*x)**(-30)*x*x*x**(-22)*(x*x**(-15))/x assuming x is positive.\n' | b'x**13\n' | b'Simplify (x**(-13/5)*x)**(-30)*x*x*x**(-22)*(x*x**(-15))/x assuming x is positive.\n' | b'x**13\n' | deepmind/math_dataset |
b'Let r(w) = 3*w**2 + 3*w + 3. Let p(l) = -l. Let x(g) = g**2 - 7*g - 2. Let h(j) = 4*p(j) - x(j). Let t be h(4). What is r(t)?\n' | b'9\n' | b'Let r(w) = 3*w**2 + 3*w + 3. Let p(l) = -l. Let x(g) = g**2 - 7*g - 2. Let h(j) = 4*p(j) - x(j). Let t be h(4). What is r(t)?\n' | b'9\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 1 r when three letters picked without replacement from ariaoooirrriraoula?\n' | b'0\n' | b'What is prob of picking 2 u and 1 r when three letters picked without replacement from ariaoooirrriraoula?\n' | b'0\n' | deepmind/math_dataset |
b'Let x(s) be the first derivative of s**4/4 + 17*s**3/3 - 17*s**2/2 + 33*s - 818. Calculate x(-18).\n' | b'15\n' | b'Let x(s) be the first derivative of s**4/4 + 17*s**3/3 - 17*s**2/2 + 33*s - 818. Calculate x(-18).\n' | b'15\n' | deepmind/math_dataset |
b'Let x(u) = 4382*u + u**2 + 4422*u - 8801*u + 35. Give x(-7).\n' | b'63\n' | b'Let x(u) = 4382*u + u**2 + 4422*u - 8801*u + 35. Give x(-7).\n' | b'63\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, m: 17}. Give prob of sequence ms.\n' | b'17/171\n' | b'Two letters picked without replacement from {s: 2, m: 17}. Give prob of sequence ms.\n' | b'17/171\n' | deepmind/math_dataset |
b'Simplify ((m/(m*m**(-3/20))*m)/m*m*m/((m**5*m*m)/m)*(m/m**(-1/4))**(-29))**46 assuming m is positive.\n' | b'm**(-9223/5)\n' | b'Simplify ((m/(m*m**(-3/20))*m)/m*m*m/((m**5*m*m)/m)*(m/m**(-1/4))**(-29))**46 assuming m is positive.\n' | b'm**(-9223/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {g: 1, b: 4, i: 2, w: 1, k: 1}.\n' | b'1/36\n' | b'Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {g: 1, b: 4, i: 2, w: 1, k: 1}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify (v*v*v**(-2/11))/v**(4/9) assuming v is positive.\n' | b'v**(136/99)\n' | b'Simplify (v*v*v**(-2/11))/v**(4/9) assuming v is positive.\n' | b'v**(136/99)\n' | deepmind/math_dataset |
b'Suppose 693 = -14*o - 427. Let d be 2/8 + 20/o. Let l(s) = 2*s**2 + s + 1. Let j be l(-1). Solve -k + 5*p = j*k - 18, d = 2*k + p + 1 for k.\n' | b'1\n' | b'Suppose 693 = -14*o - 427. Let d be 2/8 + 20/o. Let l(s) = 2*s**2 + s + 1. Let j be l(-1). Solve -k + 5*p = j*k - 18, d = 2*k + p + 1 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Let z(i) = i**2 - 15*i - 46. Let p be z(18). What is the third derivative of 9004*f**2 + 4*f**4 + 4*f**3 - p*f**3 - 9063*f**2 wrt f?\n' | b'96*f - 24\n' | b'Let z(i) = i**2 - 15*i - 46. Let p be z(18). What is the third derivative of 9004*f**2 + 4*f**4 + 4*f**3 - p*f**3 - 9063*f**2 wrt f?\n' | b'96*f - 24\n' | deepmind/math_dataset |
b'Suppose -36 = o - 5*o. Let c(m) = -m - m + o*m. Give c(1).\n' | b'7\n' | b'Suppose -36 = o - 5*o. Let c(m) = -m - m + o*m. Give c(1).\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 z when two letters picked without replacement from zzuuuzuwzuiuutz.\n' | b'1/21\n' | b'Calculate prob of picking 1 t and 1 z when two letters picked without replacement from zzuuuzuwzuiuutz.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((q*q**0/q)/q)/(q*q**9) assuming q is positive.\n' | b'q**(-11)\n' | b'Simplify ((q*q**0/q)/q)/(q*q**9) assuming q is positive.\n' | b'q**(-11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rrrrrrrrrr. What is prob of picking 4 r?\n' | b'1\n' | b'Four letters picked without replacement from rrrrrrrrrr. What is prob of picking 4 r?\n' | b'1\n' | deepmind/math_dataset |
b'Let h(x) = -2*x**3 - 44*x**2 + 57*x + 257. Let i be h(-23). Solve -2*k - 26 = -4*c, 0 = -i*k - 6*c + c for k.\n' | b'-5\n' | b'Let h(x) = -2*x**3 - 44*x**2 + 57*x + 257. Let i be h(-23). Solve -2*k - 26 = -4*c, 0 = -i*k - 6*c + c for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iaiayqiin. Give prob of picking 1 q, 1 y, and 1 a.\n' | b'1/42\n' | b'Three letters picked without replacement from iaiayqiin. Give prob of picking 1 q, 1 y, and 1 a.\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 5*a + 4*i - 104 = 0, -a - 5*i + 20 = -4*i. Let c(r) = -r**2 + 27*r - 69. Determine c(a).\n' | b'3\n' | b'Suppose 5*a + 4*i - 104 = 0, -a - 5*i + 20 = -4*i. Let c(r) = -r**2 + 27*r - 69. Determine c(a).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((l/(l**5*l))/(l**(-4)*l*l))**(3/5))**(3/14) assuming l is positive.\n' | b'l**(-27/70)\n' | b'Simplify (((l/(l**5*l))/(l**(-4)*l*l))**(3/5))**(3/14) assuming l is positive.\n' | b'l**(-27/70)\n' | deepmind/math_dataset |
b'Let i(d) = -3*d**2 - 2*d + 1. Let b(f) = f**2 + 44*f - 3111. Let r be b(38). Calculate i(r).\n' | b'-84\n' | b'Let i(d) = -3*d**2 - 2*d + 1. Let b(f) = f**2 + 44*f - 3111. Let r be b(38). Calculate i(r).\n' | b'-84\n' | deepmind/math_dataset |
b'Suppose 8*w = 2679 + 3369. Suppose w = -0*q + 36*q. Let n(z) = 11*z - 2. Let j be n(2). Solve -8*g - j = -3*g, c + q = -5*g for c.\n' | b'-1\n' | b'Suppose 8*w = 2679 + 3369. Suppose w = -0*q + 36*q. Let n(z) = 11*z - 2. Let j be n(2). Solve -8*g - j = -3*g, c + q = -5*g for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyyyyymymyyyqymyy. Give prob of picking 2 y and 1 m.\n' | b'117/340\n' | b'Three letters picked without replacement from yyyyyymymyyyqymyy. Give prob of picking 2 y and 1 m.\n' | b'117/340\n' | deepmind/math_dataset |
b'What is prob of sequence nnw when three letters picked without replacement from {w: 1, b: 1, z: 1, d: 1, o: 1, n: 2}?\n' | b'1/105\n' | b'What is prob of sequence nnw when three letters picked without replacement from {w: 1, b: 1, z: 1, d: 1, o: 1, n: 2}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify ((a/a**(2/9))/((a/(a*a/(a**6/a)*a*a))/a))/(a**6/a*a*a**(4/7)) assuming a is positive.\n' | b'a**(-428/63)\n' | b'Simplify ((a/a**(2/9))/((a/(a*a/(a**6/a)*a*a))/a))/(a**6/a*a*a**(4/7)) assuming a is positive.\n' | b'a**(-428/63)\n' | deepmind/math_dataset |
b'Simplify ((l/((l/(l*l*(l*l**(-9))/l*l)*l)/l)*l**(-5/2)*l**(3/8)*l**5)**(-36))**17 assuming l is positive.\n' | b'l**(3825/2)\n' | b'Simplify ((l/((l/(l*l*(l*l**(-9))/l*l)*l)/l)*l**(-5/2)*l**(3/8)*l**5)**(-36))**17 assuming l is positive.\n' | b'l**(3825/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 8, i: 3, e: 1, z: 3, d: 1, j: 3}. Give prob of picking 1 e and 1 d.\n' | b'1/171\n' | b'Two letters picked without replacement from {x: 8, i: 3, e: 1, z: 3, d: 1, j: 3}. Give prob of picking 1 e and 1 d.\n' | b'1/171\n' | deepmind/math_dataset |
b'Let z = 371 - 377. Let j(h) = -h**2 - 8*h + 4. Give j(z).\n' | b'16\n' | b'Let z = 371 - 377. Let j(h) = -h**2 - 8*h + 4. Give j(z).\n' | b'16\n' | deepmind/math_dataset |
b'Let t(f) be the third derivative of f**5/60 + f**4/4 - 2*f**3/3 + 3*f**2 - 10*f. Give t(-6).\n' | b'-4\n' | b'Let t(f) be the third derivative of f**5/60 + f**4/4 - 2*f**3/3 + 3*f**2 - 10*f. Give t(-6).\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(t) = t**3 + 10*t**2 + 8*t + 18. Suppose 1 = -o - g, -246*g + 245*g = -2*o - 29. Give u(o).\n' | b'-62\n' | b'Let u(t) = t**3 + 10*t**2 + 8*t + 18. Suppose 1 = -o - g, -246*g + 245*g = -2*o - 29. Give u(o).\n' | b'-62\n' | deepmind/math_dataset |
b'Let d(w) = -w**2 + 9*w + 1. Suppose 10*z + 28 = 3*z. Let h be 13/((3/z)/((-30)/20)). Suppose 3*p + 5 = h. Calculate d(p).\n' | b'15\n' | b'Let d(w) = -w**2 + 9*w + 1. Suppose 10*z + 28 = 3*z. Let h be 13/((3/z)/((-30)/20)). Suppose 3*p + 5 = h. Calculate d(p).\n' | b'15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gyyvvvvvyyy. What is prob of sequence vv?\n' | b'2/11\n' | b'Two letters picked without replacement from gyyvvvvvyyy. What is prob of sequence vv?\n' | b'2/11\n' | deepmind/math_dataset |
b'Suppose -3*m = -3*b, 25 = 17*m - 14*m + 2*b. Let r(h) be the third derivative of h**4/24 - 5*h**3/3 - h**2. What is r(m)?\n' | b'-5\n' | b'Suppose -3*m = -3*b, 25 = 17*m - 14*m + 2*b. Let r(h) be the third derivative of h**4/24 - 5*h**3/3 - h**2. What is r(m)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(d) be the second derivative of 9893*d**8/56 + 1161*d**4/2 - 148*d + 7. What is the third derivative of v(g) wrt g?\n' | b'1187160*g**3\n' | b'Let v(d) be the second derivative of 9893*d**8/56 + 1161*d**4/2 - 148*d + 7. What is the third derivative of v(g) wrt g?\n' | b'1187160*g**3\n' | deepmind/math_dataset |
b'Simplify (q**(1/7)/q**12)/(q*q/(q**(2/21)/q)*q**(-3/2)*q) assuming q is positive.\n' | b'q**(-599/42)\n' | b'Simplify (q**(1/7)/q**12)/(q*q/(q**(2/21)/q)*q**(-3/2)*q) assuming q is positive.\n' | b'q**(-599/42)\n' | deepmind/math_dataset |
b'Suppose 294 = 6*v + 3*v + 222. Solve 15 = -5*x, -2 = -2*n + 4*x + v for n.\n' | b'-1\n' | b'Suppose 294 = 6*v + 3*v + 222. Solve 15 = -5*x, -2 = -2*n + 4*x + v for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let s(i) be the third derivative of -9*i**7/70 - 16*i**3/3 - 13*i**2. Differentiate s(h) wrt h.\n' | b'-108*h**3\n' | b'Let s(i) be the third derivative of -9*i**7/70 - 16*i**3/3 - 13*i**2. Differentiate s(h) wrt h.\n' | b'-108*h**3\n' | deepmind/math_dataset |
b'Let z(u) = -23*u - 22. Let q(o) = -46*o - 47. Let p(v) = -2*q(v) + 5*z(v). What is the derivative of p(x) wrt x?\n' | b'-23\n' | b'Let z(u) = -23*u - 22. Let q(o) = -46*o - 47. Let p(v) = -2*q(v) + 5*z(v). What is the derivative of p(x) wrt x?\n' | b'-23\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 3, h: 3, i: 1}. Give prob of sequence bbhb.\n' | b'3/140\n' | b'Four letters picked without replacement from {b: 3, h: 3, i: 1}. Give prob of sequence bbhb.\n' | b'3/140\n' | deepmind/math_dataset |
b'Let n(w) = 142*w**3 + 10*w**2 + 5*w - 372. Let z(b) = -143*b**3 - 12*b**2 - 6*b + 376. Let d(f) = 6*n(f) + 5*z(f). Differentiate d(i) with respect to i.\n' | b'411*i**2\n' | b'Let n(w) = 142*w**3 + 10*w**2 + 5*w - 372. Let z(b) = -143*b**3 - 12*b**2 - 6*b + 376. Let d(f) = 6*n(f) + 5*z(f). Differentiate d(i) with respect to i.\n' | b'411*i**2\n' | deepmind/math_dataset |
b'Let i(o) = -o**3 + 13*o**2 - 12*o + 15. Let n be i(12). Solve n = -5*b + 5*m, -4*b - 4*m + 19 = -1 for b.\n' | b'1\n' | b'Let i(o) = -o**3 + 13*o**2 - 12*o + 15. Let n be i(12). Solve n = -5*b + 5*m, -4*b - 4*m + 19 = -1 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (s**(-13)/s*s/(s**(4/7)/s))**(7/10) assuming s is positive.\n' | b's**(-44/5)\n' | b'Simplify (s**(-13)/s*s/(s**(4/7)/s))**(7/10) assuming s is positive.\n' | b's**(-44/5)\n' | deepmind/math_dataset |
b'Simplify ((a/(a**(-3/4)*a))/(a**(-4/9)*a*a*a))/(a/a**0*a)**7 assuming a is positive.\n' | b'a**(-569/36)\n' | b'Simplify ((a/(a**(-3/4)*a))/(a**(-4/9)*a*a*a))/(a/a**0*a)**7 assuming a is positive.\n' | b'a**(-569/36)\n' | deepmind/math_dataset |
b'What is prob of sequence jjja when four letters picked without replacement from {j: 6, z: 1, a: 7}?\n' | b'5/143\n' | b'What is prob of sequence jjja when four letters picked without replacement from {j: 6, z: 1, a: 7}?\n' | b'5/143\n' | deepmind/math_dataset |
b'Let o(v) = v**2 - 8. Let g be o(6). Suppose -2*d - 2*d = -8. Suppose -2*a = a - d*q - 11, 5*a + 5*q = 35. Solve -4*p + 3*w - 4 = 0, p + p = -a*w - g for p.\n' | b'-4\n' | b'Let o(v) = v**2 - 8. Let g be o(6). Suppose -2*d - 2*d = -8. Suppose -2*a = a - d*q - 11, 5*a + 5*q = 35. Solve -4*p + 3*w - 4 = 0, p + p = -a*w - g for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b = 444 - 419. What is the derivative of 177 + 73 - b*r - 53 + 188*r wrt r?\n' | b'163\n' | b'Let b = 444 - 419. What is the derivative of 177 + 73 - b*r - 53 + 188*r wrt r?\n' | b'163\n' | deepmind/math_dataset |
b'Simplify (x**(-1/4)*x*x**(2/5)/x)**15/((x/((x*x*x**0/x)/x*x))**(-14)*(x/x**(-6))/(x**7/x*x)) assuming x is positive.\n' | b'x**(9/4)\n' | b'Simplify (x**(-1/4)*x*x**(2/5)/x)**15/((x/((x*x*x**0/x)/x*x))**(-14)*(x/x**(-6))/(x**7/x*x)) assuming x is positive.\n' | b'x**(9/4)\n' | deepmind/math_dataset |
b'Suppose -y + 1 = -2. Solve 3*b - w + 2*w = 0, 0 = -y*b + 4*w for b.\n' | b'0\n' | b'Suppose -y + 1 = -2. Solve 3*b - w + 2*w = 0, 0 = -y*b + 4*w for b.\n' | b'0\n' | deepmind/math_dataset |
b'Let o be 75/20 + (-9)/12. Solve 5*l - 3*g + 15 = 0, -2*g - 9 = 2*l - o for l.\n' | b'-3\n' | b'Let o be 75/20 + (-9)/12. Solve 5*l - 3*g + 15 = 0, -2*g - 9 = 2*l - o for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(i) be the third derivative of 13*i**5/30 - 25*i**3/6 + 9*i**2. What is the first derivative of a(l) wrt l?\n' | b'52*l\n' | b'Let a(i) be the third derivative of 13*i**5/30 - 25*i**3/6 + 9*i**2. What is the first derivative of a(l) wrt l?\n' | b'52*l\n' | deepmind/math_dataset |
b'Suppose -2*r + 0 + 10 = 0. Solve -b + r = 0, -3*b + 2 = 3*j - 10 for j.\n' | b'-1\n' | b'Suppose -2*r + 0 + 10 = 0. Solve -b + r = 0, -3*b + 2 = 3*j - 10 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence wrw when three letters picked without replacement from zrwmwz.\n' | b'1/60\n' | b'Calculate prob of sequence wrw when three letters picked without replacement from zrwmwz.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify ((r**2/r)/(((r/(r/(r**(1/2)/r)))/r)/r))/(r**(3/5)/(r/(r/r**9))) assuming r is positive.\n' | b'r**(119/10)\n' | b'Simplify ((r**2/r)/(((r/(r/(r**(1/2)/r)))/r)/r))/(r**(3/5)/(r/(r/r**9))) assuming r is positive.\n' | b'r**(119/10)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 2 g when three letters picked without replacement from yhfhgsfshgyhgg.\n' | b'3/91\n' | b'Calculate prob of picking 1 s and 2 g when three letters picked without replacement from yhfhgsfshgyhgg.\n' | b'3/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence twt when three letters picked without replacement from {t: 2, w: 10}.\n' | b'1/66\n' | b'Calculate prob of sequence twt when three letters picked without replacement from {t: 2, w: 10}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose -2*k - 30 + 34 = 0. What is the third derivative of 6*t**3 + 27*t**3 + 9*t**2 + 17*t**2 + k*t**2 wrt t?\n' | b'198\n' | b'Suppose -2*k - 30 + 34 = 0. What is the third derivative of 6*t**3 + 27*t**3 + 9*t**2 + 17*t**2 + k*t**2 wrt t?\n' | b'198\n' | deepmind/math_dataset |
b'Simplify l*l/(l*l**0*l*l)*l**(2/9)*(l**1)**(-2/13)*(l**(2/5)*l**(-4/7)*l)**(-45) assuming l is positive.\n' | b'l**(-31300/819)\n' | b'Simplify l*l/(l*l**0*l*l)*l**(2/9)*(l**1)**(-2/13)*(l**(2/5)*l**(-4/7)*l)**(-45) assuming l is positive.\n' | b'l**(-31300/819)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 11, b: 3}. What is prob of picking 1 b and 3 u?\n' | b'45/91\n' | b'Four letters picked without replacement from {u: 11, b: 3}. What is prob of picking 1 b and 3 u?\n' | b'45/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zdnddnnddnddtnztnddd. Give prob of sequence dtd.\n' | b'1/38\n' | b'Three letters picked without replacement from zdnddnnddnddtnztnddd. Give prob of sequence dtd.\n' | b'1/38\n' | deepmind/math_dataset |
b'Let d(a) = -a. Let b(u) = -u**2 - 6*u - 3. Let g(c) = -b(c) - 2*d(c). Suppose -3*f + 13*f + 40 = 0. Calculate g(f).\n' | b'-13\n' | b'Let d(a) = -a. Let b(u) = -u**2 - 6*u - 3. Let g(c) = -b(c) - 2*d(c). Suppose -3*f + 13*f + 40 = 0. Calculate g(f).\n' | b'-13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from llywl. What is prob of picking 1 w and 2 l?\n' | b'3/10\n' | b'Three letters picked without replacement from llywl. What is prob of picking 1 w and 2 l?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let o(w) = w**3 - 4*w**2 + 1. Let n be o(4). Let f be (n + -2)*(0 - 4). Solve 3*b - f = 4*l - 2, 0 = -4*b - 4*l + 12 for b.\n' | b'2\n' | b'Let o(w) = w**3 - 4*w**2 + 1. Let n be o(4). Let f be (n + -2)*(0 - 4). Solve 3*b - f = 4*l - 2, 0 = -4*b - 4*l + 12 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let n = -2 + -6. Let v = -6 - n. Let j(w) = -3*w + 1. Calculate j(v).\n' | b'-5\n' | b'Let n = -2 + -6. Let v = -6 - n. Let j(w) = -3*w + 1. Calculate j(v).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 2*d + 0 - 22 = 2*u, -20 = 5*u. Suppose -46*b + 130 = 19*b. Solve -3*j + k - d = -b*j, 2 = k for j.\n' | b'-5\n' | b'Suppose 2*d + 0 - 22 = 2*u, -20 = 5*u. Suppose -46*b + 130 = 19*b. Solve -3*j + k - d = -b*j, 2 = k for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, a: 2, t: 4, u: 1, q: 2}. What is prob of picking 2 q and 1 t?\n' | b'1/30\n' | b'Three letters picked without replacement from {v: 1, a: 2, t: 4, u: 1, q: 2}. What is prob of picking 2 q and 1 t?\n' | b'1/30\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mvyyssqmqqlqq. Give prob of picking 1 y and 2 m.\n' | b'1/143\n' | b'Three letters picked without replacement from mvyyssqmqqlqq. Give prob of picking 1 y and 2 m.\n' | b'1/143\n' | deepmind/math_dataset |
b'What is prob of picking 1 b, 1 j, and 1 k when three letters picked without replacement from bokbjokoobjoooo?\n' | b'12/455\n' | b'What is prob of picking 1 b, 1 j, and 1 k when three letters picked without replacement from bokbjokoobjoooo?\n' | b'12/455\n' | deepmind/math_dataset |
b'Let d(o) = o + 0*o - 5*o - 2 + 3*o. Let g(l) = -l**3 + 22*l**2 - 122*l + 28. Let v be g(12). What is d(v)?\n' | b'-6\n' | b'Let d(o) = o + 0*o - 5*o - 2 + 3*o. Let g(l) = -l**3 + 22*l**2 - 122*l + 28. Let v be g(12). What is d(v)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let a(t) be the first derivative of -t**4/4 + 2*t**2 + 3*t - 2422. Suppose 4*h = i - 5, 2*h - 7*h - 16 = 2*i. What is a(h)?\n' | b'3\n' | b'Let a(t) be the first derivative of -t**4/4 + 2*t**2 + 3*t - 2422. Suppose 4*h = i - 5, 2*h - 7*h - 16 = 2*i. What is a(h)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -42*l + 24 = -39*l. Let m be l + -3 - (-4 - -6). Solve g + 4*b + 3 = 4, -5*b = -m*g - 14 for g.\n' | b'-3\n' | b'Suppose -42*l + 24 = -39*l. Let m be l + -3 - (-4 - -6). Solve g + 4*b + 3 = 4, -5*b = -m*g - 14 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(w) be the first derivative of -9*w**2 + 25*w + 3. What is the derivative of l(z) wrt z?\n' | b'-18\n' | b'Let l(w) be the first derivative of -9*w**2 + 25*w + 3. What is the derivative of l(z) wrt z?\n' | b'-18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, x: 2, g: 5, p: 1}. What is prob of picking 1 g and 1 p?\n' | b'5/36\n' | b'Two letters picked without replacement from {e: 1, x: 2, g: 5, p: 1}. What is prob of picking 1 g and 1 p?\n' | b'5/36\n' | deepmind/math_dataset |
b'Simplify (l**(-1))**(4/39)*(l**(-1))**(3/38) assuming l is positive.\n' | b'l**(-269/1482)\n' | b'Simplify (l**(-1))**(4/39)*(l**(-1))**(3/38) assuming l is positive.\n' | b'l**(-269/1482)\n' | deepmind/math_dataset |
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