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'Suppose r + 0*r = z - 50, -4*r + 164 = 3*z. Suppose 2*t = 2*g - 44, 6 = 3*g - t - z. What is the second derivative of -s - 2*s**3 + 18*s**2 - g*s**2 wrt s?\n' | b'-12*s\n' | b'Suppose r + 0*r = z - 50, -4*r + 164 = 3*z. Suppose 2*t = 2*g - 44, 6 = 3*g - t - z. What is the second derivative of -s - 2*s**3 + 18*s**2 - g*s**2 wrt s?\n' | b'-12*s\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbbt when four letters picked without replacement from {t: 2, b: 9}.\n' | b'7/55\n' | b'Calculate prob of sequence bbbt when four letters picked without replacement from {t: 2, b: 9}.\n' | b'7/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, b: 6, o: 4, x: 4}. Give prob of sequence bo.\n' | b'4/35\n' | b'Two letters picked without replacement from {k: 1, b: 6, o: 4, x: 4}. Give prob of sequence bo.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let o(m) = 9*m - 4. Let s(a) = a**2 + a + 1. Let v(t) = -o(t) + s(t). Let g be v(8). Let c(h) = h**3 - 6*h**2 + 5*h - 1. What is c(g)?\n' | b'-1\n' | b'Let o(m) = 9*m - 4. Let s(a) = a**2 + a + 1. Let v(t) = -o(t) + s(t). Let g be v(8). Let c(h) = h**3 - 6*h**2 + 5*h - 1. What is c(g)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (q**(-1/3))**(-4/3)/((q/((q/q**(-4))/q))/q**(2/13))*q**(2/5)/(q**(-1)/q)*(q/(q/q**(-1)))/q**(-2/21) assuming q is positive.\n' | b'q**(20858/4095)\n' | b'Simplify (q**(-1/3))**(-4/3)/((q/((q/q**(-4))/q))/q**(2/13))*q**(2/5)/(q**(-1)/q)*(q/(q/q**(-1)))/q**(-2/21) assuming q is positive.\n' | b'q**(20858/4095)\n' | deepmind/math_dataset |
b'Simplify ((i**0)**(2/5)*(i**(-1))**(-22))/((i**(1/3))**(-2/53))**28 assuming i is positive.\n' | b'i**(3554/159)\n' | b'Simplify ((i**0)**(2/5)*(i**(-1))**(-22))/((i**(1/3))**(-2/53))**28 assuming i is positive.\n' | b'i**(3554/159)\n' | deepmind/math_dataset |
b'Simplify (f*f/(f*(f*f**(-1/9))/f)*f*(f/(f/f**(1/18)))/f)**(5/11)/(f**(-1/7)/((f*f**6)/f)*f**(-5)/(f*f**(6/5)*f)) assuming f is positive.\n' | b'f**(34357/2310)\n' | b'Simplify (f*f/(f*(f*f**(-1/9))/f)*f*(f/(f/f**(1/18)))/f)**(5/11)/(f**(-1/7)/((f*f**6)/f)*f**(-5)/(f*f**(6/5)*f)) assuming f is positive.\n' | b'f**(34357/2310)\n' | deepmind/math_dataset |
b'Simplify (a/(((a/(a*a**(-1/6))*a)/a)/a)*a)**(-29)/((a/(a/a**(-2/9)))/a)**(1/79) assuming a is positive.\n' | b'a**(-116819/1422)\n' | b'Simplify (a/(((a/(a*a**(-1/6))*a)/a)/a)*a)**(-29)/((a/(a/a**(-2/9)))/a)**(1/79) assuming a is positive.\n' | b'a**(-116819/1422)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxxb when four letters picked without replacement from gxtbtttbrdxrrrgxtt.\n' | b'1/6120\n' | b'Calculate prob of sequence xxxb when four letters picked without replacement from gxtbtttbrdxrrrgxtt.\n' | b'1/6120\n' | deepmind/math_dataset |
b'Simplify (i**(10/3)*i**41/i)/(i**(-3/19)*i*i**(2/73)) assuming i is positive.\n' | b'i**(176692/4161)\n' | b'Simplify (i**(10/3)*i**41/i)/(i**(-3/19)*i*i**(2/73)) assuming i is positive.\n' | b'i**(176692/4161)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 3 l when four letters picked without replacement from rrlullarrlopllaouarl.\n' | b'14/969\n' | b'Calculate prob of picking 1 u and 3 l when four letters picked without replacement from rrlullarrlopllaouarl.\n' | b'14/969\n' | deepmind/math_dataset |
b'Let w(f) = 2*f**2 - 3*f + 5. Suppose i = -4*p - 0*p + 25, 5*p + i - 30 = 0. Let k be w(p). What is the derivative of -40*d + 3 - 13 + k*d - 17*d**2 wrt d?\n' | b'-34*d\n' | b'Let w(f) = 2*f**2 - 3*f + 5. Suppose i = -4*p - 0*p + 25, 5*p + i - 30 = 0. Let k be w(p). What is the derivative of -40*d + 3 - 13 + k*d - 17*d**2 wrt d?\n' | b'-34*d\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 2 u when three letters picked without replacement from uxuxuxxuxuuxxuuxuxxu.\n' | b'15/38\n' | b'Calculate prob of picking 1 x and 2 u when three letters picked without replacement from uxuxuxxuxuuxxuuxuxxu.\n' | b'15/38\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, e: 1, c: 2, t: 1, y: 1, k: 1}. What is prob of sequence kt?\n' | b'1/42\n' | b'Two letters picked without replacement from {r: 1, e: 1, c: 2, t: 1, y: 1, k: 1}. What is prob of sequence kt?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let p be ((-168)/140)/(0 + (-6)/(-20)). Let x = p - 69. Let v = x - -77. Solve -b - 3 = -v*a, 4 = -b + 2*a + 1 for b.\n' | b'-3\n' | b'Let p be ((-168)/140)/(0 + (-6)/(-20)). Let x = p - 69. Let v = x - -77. Solve -b - 3 = -v*a, 4 = -b + 2*a + 1 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 1 i, 1 c, and 1 h when four letters picked without replacement from ihhcihciycihchihi.\n' | b'36/595\n' | b'Calculate prob of picking 1 y, 1 i, 1 c, and 1 h when four letters picked without replacement from ihhcihciycihchihi.\n' | b'36/595\n' | deepmind/math_dataset |
b'Let d(u) be the third derivative of u**7/105 - 391*u**5/20 + 65*u**4/24 + 4*u**3 + 5*u**2 - 14. What is the second derivative of d(k) wrt k?\n' | b'24*k**2 - 2346\n' | b'Let d(u) be the third derivative of u**7/105 - 391*u**5/20 + 65*u**4/24 + 4*u**3 + 5*u**2 - 14. What is the second derivative of d(k) wrt k?\n' | b'24*k**2 - 2346\n' | deepmind/math_dataset |
b'What is the first derivative of -85*a**2 + 81*a**2 - 25 - 373 - 7*a**4 wrt a?\n' | b'-28*a**3 - 8*a\n' | b'What is the first derivative of -85*a**2 + 81*a**2 - 25 - 373 - 7*a**4 wrt a?\n' | b'-28*a**3 - 8*a\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, a: 1, c: 2, v: 9}. Give prob of sequence vai.\n' | b'3/364\n' | b'Three letters picked without replacement from {i: 2, a: 1, c: 2, v: 9}. Give prob of sequence vai.\n' | b'3/364\n' | deepmind/math_dataset |
b'Suppose -7*z = -743 + 211. What is the first derivative of z*n - 57*n - 228 - 64*n + 151*n + 124*n wrt n?\n' | b'230\n' | b'Suppose -7*z = -743 + 211. What is the first derivative of z*n - 57*n - 228 - 64*n + 151*n + 124*n wrt n?\n' | b'230\n' | deepmind/math_dataset |
b'Let n(j) = -8*j - 321. Suppose -48*l = 99*l + 8374 - 2641. Give n(l).\n' | b'-9\n' | b'Let n(j) = -8*j - 321. Suppose -48*l = 99*l + 8374 - 2641. Give n(l).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 m when four letters picked without replacement from mmmeemmmmmmmmmmememm.\n' | b'364/969\n' | b'Calculate prob of picking 4 m when four letters picked without replacement from mmmeemmmmmmmmmmememm.\n' | b'364/969\n' | deepmind/math_dataset |
b'Simplify ((v**(-1))**(-29)/(v**(-7/3)/(v/v**(1/6))))/((v*v*v/(v*v*v*v/(v/(v/(v*v**(1/2))))))**(4/9)*v**(1/3)/(v*v**(-5/2))) assuming v is positive.\n' | b'v**(271/9)\n' | b'Simplify ((v**(-1))**(-29)/(v**(-7/3)/(v/v**(1/6))))/((v*v*v/(v*v*v*v/(v/(v/(v*v**(1/2))))))**(4/9)*v**(1/3)/(v*v**(-5/2))) assuming v is positive.\n' | b'v**(271/9)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvehvveveevqvee. Give prob of picking 2 e and 2 v.\n' | b'3/13\n' | b'Four letters picked without replacement from vvvehvveveevqvee. Give prob of picking 2 e and 2 v.\n' | b'3/13\n' | deepmind/math_dataset |
b'Simplify (m**(-6)*m**(3/2))/(m/((m*m**(3/2))/m)*m/m**(2/13))*((m*m*m**(-10)*m*m*m)/(m**3/m))**(7/8) assuming m is positive.\n' | b'm**(-1141/104)\n' | b'Simplify (m**(-6)*m**(3/2))/(m/((m*m**(3/2))/m)*m/m**(2/13))*((m*m*m**(-10)*m*m*m)/(m**3/m))**(7/8) assuming m is positive.\n' | b'm**(-1141/104)\n' | deepmind/math_dataset |
b'Simplify (d**(-17/3)/d)/d*d*d**(14/9)*d**(-6/31)/(d/(d*(d**(-26)*d)/d*d)) assuming d is positive.\n' | b'd**(-8455/279)\n' | b'Simplify (d**(-17/3)/d)/d*d*d**(14/9)*d**(-6/31)/(d/(d*(d**(-26)*d)/d*d)) assuming d is positive.\n' | b'd**(-8455/279)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5, m: 5, x: 2}. Give prob of sequence vm.\n' | b'25/132\n' | b'Two letters picked without replacement from {v: 5, m: 5, x: 2}. Give prob of sequence vm.\n' | b'25/132\n' | deepmind/math_dataset |
b'Calculate prob of sequence kwp when three letters picked without replacement from {a: 1, u: 1, p: 2, k: 1, v: 1, w: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence kwp when three letters picked without replacement from {a: 1, u: 1, p: 2, k: 1, v: 1, w: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let f(g) be the third derivative of 439*g**6/120 + 2*g**5/15 + 5*g**4/8 + 352*g**2. Find the third derivative of f(z) wrt z.\n' | b'2634\n' | b'Let f(g) be the third derivative of 439*g**6/120 + 2*g**5/15 + 5*g**4/8 + 352*g**2. Find the third derivative of f(z) wrt z.\n' | b'2634\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nqgmmgagmgjgmagaja. What is prob of picking 1 q, 1 j, and 1 a?\n' | b'1/102\n' | b'Three letters picked without replacement from nqgmmgagmgjgmagaja. What is prob of picking 1 q, 1 j, and 1 a?\n' | b'1/102\n' | deepmind/math_dataset |
b'Let m(c) = -c**2 + c + 17. Let u be m(-4). Let y(g) = -g**2 - 4*g - 1. Calculate y(u).\n' | b'2\n' | b'Let m(c) = -c**2 + c + 17. Let u be m(-4). Let y(g) = -g**2 - 4*g - 1. Calculate y(u).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 e when two letters picked without replacement from aemmmemmeemmeeexeem?\n' | b'1/19\n' | b'What is prob of picking 1 a and 1 e when two letters picked without replacement from aemmmemmeemmeeexeem?\n' | b'1/19\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pfpfpfpppf. What is prob of sequence ppfp?\n' | b'2/21\n' | b'Four letters picked without replacement from pfpfpfpppf. What is prob of sequence ppfp?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let i be 4/((2 - 1) + -3). Let b(o) = o**3 + 4*o + 2*o**2 - 1 + 0 + 4. Calculate b(i).\n' | b'-5\n' | b'Let i be 4/((2 - 1) + -3). Let b(o) = o**3 + 4*o + 2*o**2 - 1 + 0 + 4. Calculate b(i).\n' | b'-5\n' | deepmind/math_dataset |
b'Let y = -17 + 11. Let c(v) = 3 - 4*v**2 - 5*v + 3 - 3*v**2 - 2*v**3 + v**3. Give c(y).\n' | b'0\n' | b'Let y = -17 + 11. Let c(v) = 3 - 4*v**2 - 5*v + 3 - 3*v**2 - 2*v**3 + v**3. Give c(y).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((i*i**(2/7))**6/(i**9*i/(i*i**(-2/15)*i*i)))**(-45) assuming i is positive.\n' | b'i**(-183/7)\n' | b'Simplify ((i*i**(2/7))**6/(i**9*i/(i*i**(-2/15)*i*i)))**(-45) assuming i is positive.\n' | b'i**(-183/7)\n' | deepmind/math_dataset |
b'Let m(r) = 135*r**2 + 10*r + 117. Suppose -90 = -3*q - 81. Let k(j) = -135*j**2 - 15*j - 116. Let c(f) = q*m(f) + 2*k(f). Differentiate c(y) wrt y.\n' | b'270*y\n' | b'Let m(r) = 135*r**2 + 10*r + 117. Suppose -90 = -3*q - 81. Let k(j) = -135*j**2 - 15*j - 116. Let c(f) = q*m(f) + 2*k(f). Differentiate c(y) wrt y.\n' | b'270*y\n' | deepmind/math_dataset |
b'Let h(y) = -7*y + y**2 + 76 - 10*y + 6*y - 62. Let c be h(10). What is the second derivative of -i**4 - 27*i + 7*i**4 - 39*i**c wrt i?\n' | b'-396*i**2\n' | b'Let h(y) = -7*y + y**2 + 76 - 10*y + 6*y - 62. Let c be h(10). What is the second derivative of -i**4 - 27*i + 7*i**4 - 39*i**c wrt i?\n' | b'-396*i**2\n' | deepmind/math_dataset |
b'Suppose 0 = 7*i - 5 - 9. Solve 3*j - 3*y = 0, 5*j - i*y + 0*y = 9 for j.\n' | b'3\n' | b'Suppose 0 = 7*i - 5 - 9. Solve 3*j - 3*y = 0, 5*j - i*y + 0*y = 9 for j.\n' | b'3\n' | deepmind/math_dataset |
b'Let u(l) be the first derivative of 1 + 2*l + 2/3*l**3 + 1/4*l**4 - 1/2*l**2. Let a = -1579 - -1576. Calculate u(a).\n' | b'-4\n' | b'Let u(l) be the first derivative of 1 + 2*l + 2/3*l**3 + 1/4*l**4 - 1/2*l**2. Let a = -1579 - -1576. Calculate u(a).\n' | b'-4\n' | deepmind/math_dataset |
b'Let g = 110 + -107. What is the second derivative of -13*x**g + 13*x**3 + 3 + 692*x - 706*x - 194*x**5 wrt x?\n' | b'-3880*x**3\n' | b'Let g = 110 + -107. What is the second derivative of -13*x**g + 13*x**3 + 3 + 692*x - 706*x - 194*x**5 wrt x?\n' | b'-3880*x**3\n' | deepmind/math_dataset |
b'Let n = -21 + 26. Solve 3 - 13 = 5*f - n*w, w = -2*f - 13 for f.\n' | b'-5\n' | b'Let n = -21 + 26. Solve 3 - 13 = 5*f - n*w, w = -2*f - 13 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(m) = -6*m**2 - 16*m + 16. Let u(z) = -z**2 - 3*z + 3. Let b(d) = 4*c(d) - 22*u(d). Give b(2).\n' | b'-6\n' | b'Let c(m) = -6*m**2 - 16*m + 16. Let u(z) = -z**2 - 3*z + 3. Let b(d) = 4*c(d) - 22*u(d). Give b(2).\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 p when two letters picked without replacement from dfdskpkppdq?\n' | b'3/55\n' | b'What is prob of picking 1 s and 1 p when two letters picked without replacement from dfdskpkppdq?\n' | b'3/55\n' | deepmind/math_dataset |
b'Suppose 2*u - 3 = y, 6*y + 3*u = 4*y + 15. Solve -3*v + 12 + 4 = -2*l, 0 = 4*v - y*l - 23 for v.\n' | b'2\n' | b'Suppose 2*u - 3 = y, 6*y + 3*u = 4*y + 15. Solve -3*v + 12 + 4 = -2*l, 0 = 4*v - y*l - 23 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (b/((b*b**(1/36))/b*b))/(b*b**42*b) assuming b is positive.\n' | b'b**(-1585/36)\n' | b'Simplify (b/((b*b**(1/36))/b*b))/(b*b**42*b) assuming b is positive.\n' | b'b**(-1585/36)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 4}. What is prob of picking 3 w?\n' | b'1\n' | b'Three letters picked without replacement from {w: 4}. What is prob of picking 3 w?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (n/(n/n**(-4))*n**(2/21))/(n*n/n**(-1))**(1/39) assuming n is positive.\n' | b'n**(-1087/273)\n' | b'Simplify (n/(n/n**(-4))*n**(2/21))/(n*n/n**(-1))**(1/39) assuming n is positive.\n' | b'n**(-1087/273)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 9, t: 3}. Give prob of sequence teet.\n' | b'2/55\n' | b'Four letters picked without replacement from {e: 9, t: 3}. Give prob of sequence teet.\n' | b'2/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence yymm when four letters picked without replacement from ymymymmm.\n' | b'1/14\n' | b'Calculate prob of sequence yymm when four letters picked without replacement from ymymymmm.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 14*s + s = 195. Suppose -4*g + 28 - 16 = 0. Solve 4*k = 4*h - 12, -s = 2*k + g*k - 4*h for k.\n' | b'-1\n' | b'Suppose 14*s + s = 195. Suppose -4*g + 28 - 16 = 0. Solve 4*k = 4*h - 12, -s = 2*k + g*k - 4*h for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ffja when four letters picked without replacement from uajfaaufjjjfj.\n' | b'3/572\n' | b'Calculate prob of sequence ffja when four letters picked without replacement from uajfaaufjjjfj.\n' | b'3/572\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 10}. What is prob of picking 3 r?\n' | b'1\n' | b'Three letters picked without replacement from {r: 10}. What is prob of picking 3 r?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 5*o - 24 = o. What is the third derivative of 0*m**2 + o*m**6 - 4*m**6 + 3*m**2 wrt m?\n' | b'240*m**3\n' | b'Suppose 5*o - 24 = o. What is the third derivative of 0*m**2 + o*m**6 - 4*m**6 + 3*m**2 wrt m?\n' | b'240*m**3\n' | deepmind/math_dataset |
b'Let x(i) = 7*i - 4. Let k(c) = -29*c + 17. Suppose 4*w = 2*w - 22. Let b = -20 - w. Let v(z) = b*x(z) - 2*k(z). Determine v(4).\n' | b'-18\n' | b'Let x(i) = 7*i - 4. Let k(c) = -29*c + 17. Suppose 4*w = 2*w - 22. Let b = -20 - w. Let v(z) = b*x(z) - 2*k(z). Determine v(4).\n' | b'-18\n' | deepmind/math_dataset |
b'Find the third derivative of 48*s**2 + 29*s**5 - 21*s + 0*s - 50*s**2 wrt s.\n' | b'1740*s**2\n' | b'Find the third derivative of 48*s**2 + 29*s**5 - 21*s + 0*s - 50*s**2 wrt s.\n' | b'1740*s**2\n' | deepmind/math_dataset |
b'Let x(w) be the third derivative of 31*w**4/6 - 233*w**3/6 + 23*w**2. What is the derivative of x(v) wrt v?\n' | b'124\n' | b'Let x(w) be the third derivative of 31*w**4/6 - 233*w**3/6 + 23*w**2. What is the derivative of x(v) wrt v?\n' | b'124\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kjjkqbqkqqbq. What is prob of picking 2 b?\n' | b'1/66\n' | b'Two letters picked without replacement from kjjkqbqkqqbq. What is prob of picking 2 b?\n' | b'1/66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 1, x: 2, v: 2, q: 1, e: 8}. Give prob of sequence eqx.\n' | b'2/273\n' | b'Three letters picked without replacement from {c: 1, x: 2, v: 2, q: 1, e: 8}. Give prob of sequence eqx.\n' | b'2/273\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ussuuuusuuiesuusr. What is prob of sequence eui?\n' | b'3/1360\n' | b'Three letters picked without replacement from ussuuuusuuiesuusr. What is prob of sequence eui?\n' | b'3/1360\n' | deepmind/math_dataset |
b'Simplify (v**(-1/4))**(23/3)*v**(-7)/(((v/v**(-7))/v)/v) assuming v is positive.\n' | b'v**(-179/12)\n' | b'Simplify (v**(-1/4))**(23/3)*v**(-7)/(((v/v**(-7))/v)/v) assuming v is positive.\n' | b'v**(-179/12)\n' | deepmind/math_dataset |
b'Suppose 3*r = 85 - 70. Solve 5*g + 5*d - r = 0, 3*d - 35 = 6*g - g for g.\n' | b'-4\n' | b'Suppose 3*r = 85 - 70. Solve 5*g + 5*d - r = 0, 3*d - 35 = 6*g - g for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (z**(4/3)*z*z)/z*z**7*((z/z**(-13))/z)/(z/z**(-2/11)) assuming z is positive.\n' | b'z**(698/33)\n' | b'Simplify (z**(4/3)*z*z)/z*z**7*((z/z**(-13))/z)/(z/z**(-2/11)) assuming z is positive.\n' | b'z**(698/33)\n' | deepmind/math_dataset |
b'Let b = -4 - -17. Solve 4*i + 4*t = 12, -1 = -4*i - 3*t + b for i.\n' | b'5\n' | b'Let b = -4 - -17. Solve 4*i + 4*t = 12, -1 = -4*i - 3*t + b for i.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {v: 1, q: 6, r: 1, e: 1}.\n' | b'1/36\n' | b'Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {v: 1, q: 6, r: 1, e: 1}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let k(g) = 12*g - 9. Let o be k(7). Let l = 99 - o. Find the first derivative of -14*j**4 - l*j**4 + 13*j**4 + 19 wrt j.\n' | b'-100*j**3\n' | b'Let k(g) = 12*g - 9. Let o be k(7). Let l = 99 - o. Find the first derivative of -14*j**4 - l*j**4 + 13*j**4 + 19 wrt j.\n' | b'-100*j**3\n' | deepmind/math_dataset |
b'Let b be ((-136)/(-16) + -10)*(-8)/3. Solve 1 = -3*c - b*w + 2*w, 3*c - w - 14 = 0 for c.\n' | b'3\n' | b'Let b be ((-136)/(-16) + -10)*(-8)/3. Solve 1 = -3*c - b*w + 2*w, 3*c - w - 14 = 0 for c.\n' | b'3\n' | deepmind/math_dataset |
b'What is the third derivative of -238*s**5 - 768234*s**2 + 760174*s**2 + 659*s**5 + 749*s**5 wrt s?\n' | b'70200*s**2\n' | b'What is the third derivative of -238*s**5 - 768234*s**2 + 760174*s**2 + 659*s**5 + 749*s**5 wrt s?\n' | b'70200*s**2\n' | deepmind/math_dataset |
b'Let o(a) = 23*a**3 - 21. Let h(c) = -45*c**3 + 43. Let y(s) = 2*h(s) + 5*o(s). Differentiate y(k) wrt k.\n' | b'75*k**2\n' | b'Let o(a) = 23*a**3 - 21. Let h(c) = -45*c**3 + 43. Let y(s) = 2*h(s) + 5*o(s). Differentiate y(k) wrt k.\n' | b'75*k**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 2 r when three letters picked without replacement from hrqrqrqqqrqhrq.\n' | b'5/91\n' | b'Calculate prob of picking 1 h and 2 r when three letters picked without replacement from hrqrqrqqqrqhrq.\n' | b'5/91\n' | deepmind/math_dataset |
b'Let l(a) = 2*a - 14. Let g be l(10). Suppose p + g*p - 14 = 0. Solve -2*y + 5 = -0*i - 5*i, -p = -i + y for i.\n' | b'-3\n' | b'Let l(a) = 2*a - 14. Let g be l(10). Suppose p + g*p - 14 = 0. Solve -2*y + 5 = -0*i - 5*i, -p = -i + y for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((c**2)**(5/14))**(28/9)/(c**(-7/2)*c*(c/c**2*c)/c*(c*c/(c/(c*c*c**(-2/7)/c)))**(-3/13)) assuming c is positive.\n' | b'c**(10021/1638)\n' | b'Simplify ((c**2)**(5/14))**(28/9)/(c**(-7/2)*c*(c/c**2*c)/c*(c*c/(c/(c*c*c**(-2/7)/c)))**(-3/13)) assuming c is positive.\n' | b'c**(10021/1638)\n' | deepmind/math_dataset |
b'Let y(g) = 2*g - 3. Suppose -4*o + w = -7*o + 53, w = 2*o - 32. Suppose -3*v + o = -4*v + 5*k, -4*v + 3*k = 0. Let z be (-2)/(-1 + v) - -6. What is y(z)?\n' | b'7\n' | b'Let y(g) = 2*g - 3. Suppose -4*o + w = -7*o + 53, w = 2*o - 32. Suppose -3*v + o = -4*v + 5*k, -4*v + 3*k = 0. Let z be (-2)/(-1 + v) - -6. What is y(z)?\n' | b'7\n' | deepmind/math_dataset |
b'Let x be ((-279)/36 + 6)/((-2)/40). Solve -5*z = -4*v - x, -v - 17 = -z - 3*z for z.\n' | b'3\n' | b'Let x be ((-279)/36 + 6)/((-2)/40). Solve -5*z = -4*v - x, -v - 17 = -z - 3*z for z.\n' | b'3\n' | deepmind/math_dataset |
b'Let y(i) = -2*i**2 - 7 + 4*i**2 + 5 + 1. Let g be y(-1). Solve a - 2 = g, -2*d - 7 = -5*a for d.\n' | b'4\n' | b'Let y(i) = -2*i**2 - 7 + 4*i**2 + 5 + 1. Let g be y(-1). Solve a - 2 = g, -2*d - 7 = -5*a for d.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 + 24 = -4*n. Let y(l) = -l**2 - 8*l - 7. Let g be y(n). Solve 2*o + r + 9 = 0, 3*o + 12 = 4*o - g*r for o.\n' | b'-3\n' | b'Suppose 0 + 24 = -4*n. Let y(l) = -l**2 - 8*l - 7. Let g be y(n). Solve 2*o + r + 9 = 0, 3*o + 12 = 4*o - g*r for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -17 + 13 = -2*f. Suppose 3*l + 3 = b, -9 = -2*b - f*l + 5. Solve -10 = u + 4*z, -4*z = -0*u - u + b for u.\n' | b'-2\n' | b'Suppose -17 + 13 = -2*f. Suppose 3*l + 3 = b, -9 = -2*b - f*l + 5. Solve -10 = u + 4*z, -4*z = -0*u - u + b for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (t**(4/5)/((t/t**(1/2))/t))**(14/3) assuming t is positive.\n' | b't**(91/15)\n' | b'Simplify (t**(4/5)/((t/t**(1/2))/t))**(14/3) assuming t is positive.\n' | b't**(91/15)\n' | deepmind/math_dataset |
b'Let o(c) = 5*c + 31. Let b(d) = 8*d + 62. Let n(l) = -6*b(l) + 11*o(l). Let a be n(7). Solve -5*q = -s - 11, -4*s = 5*q - a - 13 for s.\n' | b'4\n' | b'Let o(c) = 5*c + 31. Let b(d) = 8*d + 62. Let n(l) = -6*b(l) + 11*o(l). Let a be n(7). Solve -5*q = -s - 11, -4*s = 5*q - a - 13 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, d: 3, z: 4}. What is prob of sequence zz?\n' | b'3/14\n' | b'Two letters picked without replacement from {t: 1, d: 3, z: 4}. What is prob of sequence zz?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify ((v*v**(1/5))**(-1/25)/((v*v**(1/4))/(v/(v*v**(-1/9)*v))))**(-43) assuming v is positive.\n' | b'v**(423163/4500)\n' | b'Simplify ((v*v**(1/5))**(-1/25)/((v*v**(1/4))/(v/(v*v**(-1/9)*v))))**(-43) assuming v is positive.\n' | b'v**(423163/4500)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pptttmmmm. Give prob of sequence mtpm.\n' | b'1/42\n' | b'Four letters picked without replacement from pptttmmmm. Give prob of sequence mtpm.\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 7, z: 1}. Give prob of sequence ii.\n' | b'3/4\n' | b'Two letters picked without replacement from {i: 7, z: 1}. Give prob of sequence ii.\n' | b'3/4\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {u: 2, i: 5, t: 2, x: 5, f: 1, s: 1}?\n' | b'1/12\n' | b'What is prob of picking 2 x when two letters picked without replacement from {u: 2, i: 5, t: 2, x: 5, f: 1, s: 1}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 b when four letters picked without replacement from {b: 5, n: 3}.\n' | b'1/14\n' | b'Calculate prob of picking 4 b when four letters picked without replacement from {b: 5, n: 3}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let b(a) be the third derivative of a**6/30 - 29*a**5/60 - a**4/12 - 38*a**3 - 441*a**2 + a. Find the second derivative of b(d) wrt d.\n' | b'24*d - 58\n' | b'Let b(a) be the third derivative of a**6/30 - 29*a**5/60 - a**4/12 - 38*a**3 - 441*a**2 + a. Find the second derivative of b(d) wrt d.\n' | b'24*d - 58\n' | deepmind/math_dataset |
b'Let c(d) = -2*d + 2. Let v be c(-2). Let n = 38 + -16. Suppose o + 7 = n. Solve -2*k - 5*r = -o, -v = 3*k - 4*k - r for k.\n' | b'5\n' | b'Let c(d) = -2*d + 2. Let v be c(-2). Let n = 38 + -16. Suppose o + 7 = n. Solve -2*k - 5*r = -o, -v = 3*k - 4*k - r for k.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence xj when two letters picked without replacement from hxkkhjkhjk?\n' | b'1/45\n' | b'What is prob of sequence xj when two letters picked without replacement from hxkkhjkhjk?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let b(h) = -3*h - 11. Let a be b(-3). Let p be (a/6)/(-3*(-3)/(-702)). Suppose -5*d - 2*z - 27 = 0, 3*d = 4*z - 11 - p. Let r(g) = -g**2 - 9*g - 5. Give r(d).\n' | b'9\n' | b'Let b(h) = -3*h - 11. Let a be b(-3). Let p be (a/6)/(-3*(-3)/(-702)). Suppose -5*d - 2*z - 27 = 0, 3*d = 4*z - 11 - p. Let r(g) = -g**2 - 9*g - 5. Give r(d).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhhhh. What is prob of picking 3 h?\n' | b'1\n' | b'Three letters picked without replacement from hhhhh. What is prob of picking 3 h?\n' | b'1\n' | deepmind/math_dataset |
b'Let f(s) = -49*s - 2194. Let v be f(-45). Solve 4*m - 12 = 13*h - 9*h, -3*m - h - v = 0 for m.\n' | b'-2\n' | b'Let f(s) = -49*s - 2194. Let v be f(-45). Solve 4*m - 12 = 13*h - 9*h, -3*m - h - v = 0 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence lvv when three letters picked without replacement from {l: 4, p: 4, w: 2, v: 1, j: 2, g: 2}?\n' | b'0\n' | b'What is prob of sequence lvv when three letters picked without replacement from {l: 4, p: 4, w: 2, v: 1, j: 2, g: 2}?\n' | b'0\n' | deepmind/math_dataset |
b'Let m(i) be the first derivative of i**4/4 - 5*i**3/3 + i**2/2 + 3*i + 26. What is m(5)?\n' | b'8\n' | b'Let m(i) be the first derivative of i**4/4 - 5*i**3/3 + i**2/2 + 3*i + 26. What is m(5)?\n' | b'8\n' | deepmind/math_dataset |
b'Let l(u) = -u**3 + 6*u**2 + 7*u. Let c = -907 + 913. What is l(c)?\n' | b'42\n' | b'Let l(u) = -u**3 + 6*u**2 + 7*u. Let c = -907 + 913. What is l(c)?\n' | b'42\n' | deepmind/math_dataset |
b'Let l(o) = -7*o**4 + 5*o**3 + 5*o - 1. Let g(q) = 6*q**4 - 6*q**3 - 6*q + 2. Let h(n) = -5*g(n) - 6*l(n). What is the first derivative of h(k) wrt k?\n' | b'48*k**3\n' | b'Let l(o) = -7*o**4 + 5*o**3 + 5*o - 1. Let g(q) = 6*q**4 - 6*q**3 - 6*q + 2. Let h(n) = -5*g(n) - 6*l(n). What is the first derivative of h(k) wrt k?\n' | b'48*k**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence sm when two letters picked without replacement from {s: 3, j: 1, i: 1, m: 7}.\n' | b'7/44\n' | b'Calculate prob of sequence sm when two letters picked without replacement from {s: 3, j: 1, i: 1, m: 7}.\n' | b'7/44\n' | deepmind/math_dataset |
b'What is prob of picking 2 b when two letters picked without replacement from {b: 3, u: 7}?\n' | b'1/15\n' | b'What is prob of picking 2 b when two letters picked without replacement from {b: 3, u: 7}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c(n) = 3*n + 3. Let t(v) = 2*v + 2*v + 0*v + 6 + 2*v. Let d(l) = -5*c(l) + 3*t(l). Calculate d(-3).\n' | b'-6\n' | b'Let c(n) = 3*n + 3. Let t(v) = 2*v + 2*v + 0*v + 6 + 2*v. Let d(l) = -5*c(l) + 3*t(l). Calculate d(-3).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, o: 1, x: 1, p: 2, r: 2}. What is prob of picking 2 r?\n' | b'1/21\n' | b'Two letters picked without replacement from {j: 1, o: 1, x: 1, p: 2, r: 2}. What is prob of picking 2 r?\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 0 = -3*c - l - 18, -c = 3*l + 13 + 1. Let s = -2 - c. Let x(a) be the first derivative of a**3/3 - a**2 - 3*a + 3. Calculate x(s).\n' | b'0\n' | b'Suppose 0 = -3*c - l - 18, -c = 3*l + 13 + 1. Let s = -2 - c. Let x(a) be the first derivative of a**3/3 - a**2 - 3*a + 3. Calculate x(s).\n' | b'0\n' | deepmind/math_dataset |
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