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 p(d) = d**3 - 2*d**2 - 8*d + 9. Let z be p(4). Let l(s) = -s + 9. Determine l(z).\n' | b'0\n' | b'Let p(d) = d**3 - 2*d**2 - 8*d + 9. Let z be p(4). Let l(s) = -s + 9. Determine l(z).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 6, y: 9, a: 4}. What is prob of sequence zz?\n' | b'5/57\n' | b'Two letters picked without replacement from {z: 6, y: 9, a: 4}. What is prob of sequence zz?\n' | b'5/57\n' | deepmind/math_dataset |
b'Calculate prob of sequence pe when two letters picked without replacement from {p: 2, e: 2, m: 5}.\n' | b'1/18\n' | b'Calculate prob of sequence pe when two letters picked without replacement from {p: 2, e: 2, m: 5}.\n' | b'1/18\n' | deepmind/math_dataset |
b'Let n(u) be the third derivative of -u**4/24 + 13*u**3/6 + 4*u**2. Determine n(8).\n' | b'5\n' | b'Let n(u) be the third derivative of -u**4/24 + 13*u**3/6 + 4*u**2. Determine n(8).\n' | b'5\n' | deepmind/math_dataset |
b'Let g be ((-16)/10)/(20/(-25)). Let b(d) be the second derivative of 0*d**3 - 1/2*d**g - 1/4*d**4 - 3*d + 0. What is the first derivative of b(k) wrt k?\n' | b'-6*k\n' | b'Let g be ((-16)/10)/(20/(-25)). Let b(d) be the second derivative of 0*d**3 - 1/2*d**g - 1/4*d**4 - 3*d + 0. What is the first derivative of b(k) wrt k?\n' | b'-6*k\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eeeeeeeeee. Give prob of picking 3 e.\n' | b'1\n' | b'Three letters picked without replacement from eeeeeeeeee. Give prob of picking 3 e.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((a/(a**5/a))/a)/a)**(-16/5)*(a**(-1/3))**(1/18) assuming a is positive.\n' | b'a**(863/54)\n' | b'Simplify (((a/(a**5/a))/a)/a)**(-16/5)*(a**(-1/3))**(1/18) assuming a is positive.\n' | b'a**(863/54)\n' | deepmind/math_dataset |
b'Let g(v) = v**2 + 6*v + 6. Suppose 19*h = 86 + 28. Let w be ((-44)/33)/(2/h). Give g(w).\n' | b'-2\n' | b'Let g(v) = v**2 + 6*v + 6. Suppose 19*h = 86 + 28. Let w be ((-44)/33)/(2/h). Give g(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence mdd when three letters picked without replacement from {i: 5, m: 3, d: 7, k: 1}.\n' | b'3/80\n' | b'Calculate prob of sequence mdd when three letters picked without replacement from {i: 5, m: 3, d: 7, k: 1}.\n' | b'3/80\n' | deepmind/math_dataset |
b'What is prob of sequence azz when three letters picked without replacement from zztazazzttzzt?\n' | b'7/143\n' | b'What is prob of sequence azz when three letters picked without replacement from zztazazzttzzt?\n' | b'7/143\n' | deepmind/math_dataset |
b'Simplify j**(1/23)/j**(16/7) assuming j is positive.\n' | b'j**(-361/161)\n' | b'Simplify j**(1/23)/j**(16/7) assuming j is positive.\n' | b'j**(-361/161)\n' | deepmind/math_dataset |
b'Let r(m) be the second derivative of m**4/4 + m**3/2 + m**2 - 11*m. Suppose -2*n - 2*j = -3*j + 6, j + 2 = -2*n. Determine r(n).\n' | b'8\n' | b'Let r(m) be the second derivative of m**4/4 + m**3/2 + m**2 - 11*m. Suppose -2*n - 2*j = -3*j + 6, j + 2 = -2*n. Determine r(n).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of sequence zzzs when four letters picked without replacement from {s: 7, z: 3}.\n' | b'1/120\n' | b'Calculate prob of sequence zzzs when four letters picked without replacement from {s: 7, z: 3}.\n' | b'1/120\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 4, g: 2, h: 2}. What is prob of sequence bhb?\n' | b'1/14\n' | b'Three letters picked without replacement from {b: 4, g: 2, h: 2}. What is prob of sequence bhb?\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 4, m: 2, l: 10, s: 1}. Give prob of sequence lwm.\n' | b'1/51\n' | b'Three letters picked without replacement from {w: 4, m: 2, l: 10, s: 1}. Give prob of sequence lwm.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let b be -2*86/4 - 0. Let j be 12/54 - b/9. Solve j*y = 5*v + 20, 2 = 2*y - 0*y for v.\n' | b'-3\n' | b'Let b be -2*86/4 - 0. Let j be 12/54 - b/9. Solve j*y = 5*v + 20, 2 = 2*y - 0*y for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (m/m**(-43))/m**(-4/11) assuming m is positive.\n' | b'm**(488/11)\n' | b'Simplify (m/m**(-43))/m**(-4/11) assuming m is positive.\n' | b'm**(488/11)\n' | deepmind/math_dataset |
b'Suppose 20 = -y + 5*g - 0*g, 3*y + 10 = 5*g. Solve -5*k - 5*p = 5, 2*p + 0*p = 5*k + y for k.\n' | b'-1\n' | b'Suppose 20 = -y + 5*g - 0*g, 3*y + 10 = 5*g. Solve -5*k - 5*p = 5, 2*p + 0*p = 5*k + y for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, f: 1, v: 3, d: 8, p: 5, a: 1}. What is prob of picking 2 d and 1 a?\n' | b'7/285\n' | b'Three letters picked without replacement from {u: 2, f: 1, v: 3, d: 8, p: 5, a: 1}. What is prob of picking 2 d and 1 a?\n' | b'7/285\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 2 z, and 1 b when four letters picked without replacement from {r: 2, z: 7, s: 2, b: 1, k: 1, a: 1}?\n' | b'6/143\n' | b'What is prob of picking 1 r, 2 z, and 1 b when four letters picked without replacement from {r: 2, z: 7, s: 2, b: 1, k: 1, a: 1}?\n' | b'6/143\n' | deepmind/math_dataset |
b'Let j be 4 + 0/(-5) + -5 + 3. Solve -2*k + 21 = -5*z, k - z - 13 = j*z for k.\n' | b'-2\n' | b'Let j be 4 + 0/(-5) + -5 + 3. Solve -2*k + 21 = -5*z, k - z - 13 = j*z for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p = -103 - -105. Let z = -52 - -55. Solve p*d - 1 = k - d, z*d = -2*k + 7 for k.\n' | b'2\n' | b'Let p = -103 - -105. Let z = -52 - -55. Solve p*d - 1 = k - d, z*d = -2*k + 7 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify m**(-16)*m*m**(-18)*m assuming m is positive.\n' | b'm**(-32)\n' | b'Simplify m**(-16)*m*m**(-18)*m assuming m is positive.\n' | b'm**(-32)\n' | deepmind/math_dataset |
b'Simplify ((h*h*h**(-5))/(h*h*h*h/(h/(h*h**0))))/(h**(-5)/(h/h**(-7/2)))*((h/(h*h**(-1/4)))/h**(-6))**6 assuming h is positive.\n' | b'h**40\n' | b'Simplify ((h*h*h**(-5))/(h*h*h*h/(h/(h*h**0))))/(h**(-5)/(h/h**(-7/2)))*((h/(h*h**(-1/4)))/h**(-6))**6 assuming h is positive.\n' | b'h**40\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ceememce. What is prob of sequence mee?\n' | b'1/14\n' | b'Three letters picked without replacement from ceememce. What is prob of sequence mee?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let l(v) be the first derivative of -v**3/3 + 3*v**2 + 3*v + 640. What is l(7)?\n' | b'-4\n' | b'Let l(v) be the first derivative of -v**3/3 + 3*v**2 + 3*v + 640. What is l(7)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -13*q = -14 + 79. Let d(u) = u**2 + 4*u - 6. Determine d(q).\n' | b'-1\n' | b'Suppose -13*q = -14 + 79. Let d(u) = u**2 + 4*u - 6. Determine d(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Let t(z) = z**2 + 4*z + 22. Let y = -41 - -34. Let q be t(y). Let r = -51 + q. Let f(c) = -c - 16. Determine f(r).\n' | b'-8\n' | b'Let t(z) = z**2 + 4*z + 22. Let y = -41 - -34. Let q be t(y). Let r = -51 + q. Let f(c) = -c - 16. Determine f(r).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 7, j: 9}. What is prob of sequence bjjb?\n' | b'9/130\n' | b'Four letters picked without replacement from {b: 7, j: 9}. What is prob of sequence bjjb?\n' | b'9/130\n' | deepmind/math_dataset |
b'Let f(t) be the first derivative of -3/5*t**5 + 0*t**4 - 8 + 0*t + 0*t**2 + 11/3*t**3. Find the third derivative of f(u) wrt u.\n' | b'-72*u\n' | b'Let f(t) be the first derivative of -3/5*t**5 + 0*t**4 - 8 + 0*t + 0*t**2 + 11/3*t**3. Find the third derivative of f(u) wrt u.\n' | b'-72*u\n' | deepmind/math_dataset |
b'Simplify (((c/(c**(3/4)/c))/c)/(c/c**6))**(-5) assuming c is positive.\n' | b'c**(-105/4)\n' | b'Simplify (((c/(c**(3/4)/c))/c)/(c/c**6))**(-5) assuming c is positive.\n' | b'c**(-105/4)\n' | deepmind/math_dataset |
b'Let a(u) = 4*u**2 + 2 + 7*u**2 + u**2 - 13*u**2 - 1 - 3*u. Calculate a(-2).\n' | b'3\n' | b'Let a(u) = 4*u**2 + 2 + 7*u**2 + u**2 - 13*u**2 - 1 - 3*u. Calculate a(-2).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify g**(8/7)/(g**(2/17)*g)*(g**(-3/37)*g*g)**(3/26) assuming g is positive.\n' | b'g**(28233/114478)\n' | b'Simplify g**(8/7)/(g**(2/17)*g)*(g**(-3/37)*g*g)**(3/26) assuming g is positive.\n' | b'g**(28233/114478)\n' | deepmind/math_dataset |
b'Simplify (((q**(-1))**(-1/13)/(q**3*q*q/(q/(q**4*q))))**(-5/12))**27 assuming q is positive.\n' | b'q**(1305/13)\n' | b'Simplify (((q**(-1))**(-1/13)/(q**3*q*q/(q/(q**4*q))))**(-5/12))**27 assuming q is positive.\n' | b'q**(1305/13)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {u: 4, k: 2, s: 8, q: 5}.\n' | b'10/171\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {u: 4, k: 2, s: 8, q: 5}.\n' | b'10/171\n' | deepmind/math_dataset |
b'What is prob of sequence bit when three letters picked without replacement from oboaotbbobbbhhio?\n' | b'1/560\n' | b'What is prob of sequence bit when three letters picked without replacement from oboaotbbobbbhhio?\n' | b'1/560\n' | deepmind/math_dataset |
b'Let h(z) = 109*z**2 - 3058*z + 32049. Let p(n) = -68*n**2 + 2040*n - 21366. Let f(a) = 5*h(a) + 8*p(a). What is the first derivative of f(v) wrt v?\n' | b'2*v + 1030\n' | b'Let h(z) = 109*z**2 - 3058*z + 32049. Let p(n) = -68*n**2 + 2040*n - 21366. Let f(a) = 5*h(a) + 8*p(a). What is the first derivative of f(v) wrt v?\n' | b'2*v + 1030\n' | deepmind/math_dataset |
b'Let c(l) = 6*l**3 - 1566*l + 2180. Let d(o) = -o**3 + 313*o - 436. Let m(w) = 3*c(w) + 16*d(w). What is the derivative of m(n) wrt n?\n' | b'6*n**2 + 310\n' | b'Let c(l) = 6*l**3 - 1566*l + 2180. Let d(o) = -o**3 + 313*o - 436. Let m(w) = 3*c(w) + 16*d(w). What is the derivative of m(n) wrt n?\n' | b'6*n**2 + 310\n' | deepmind/math_dataset |
b'Simplify (i**(-1))**31*i**1/i**(5/2)*i**(2/3)/(i/(i*i/((i*i**(2/15))/i)))*((i**(-1/8)*i*i)/i)/(i**(2/7)/i) assuming i is positive.\n' | b'i**(-24677/840)\n' | b'Simplify (i**(-1))**31*i**1/i**(5/2)*i**(2/3)/(i/(i*i/((i*i**(2/15))/i)))*((i**(-1/8)*i*i)/i)/(i**(2/7)/i) assuming i is positive.\n' | b'i**(-24677/840)\n' | deepmind/math_dataset |
b'Suppose 4*b = 5*o + 2, 0 = -b - 4*b + 3*o + 9. Let t(u) = -6*u - b + 5*u + 3*u. Let g be t(5). Let h(k) = k**3 - 7*k**2 + 2. Determine h(g).\n' | b'2\n' | b'Suppose 4*b = 5*o + 2, 0 = -b - 4*b + 3*o + 9. Let t(u) = -6*u - b + 5*u + 3*u. Let g be t(5). Let h(k) = k**3 - 7*k**2 + 2. Determine h(g).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((a*a*a/(a/a**(5/4))*a)/(a**(-2/7)*a))**42*(a*a/(a*a**(-4))*a*a**(-3/4)*a)**(3/10) assuming a is positive.\n' | b'a**(1203/8)\n' | b'Simplify ((a*a*a/(a/a**(5/4))*a)/(a**(-2/7)*a))**42*(a*a/(a*a**(-4))*a*a**(-3/4)*a)**(3/10) assuming a is positive.\n' | b'a**(1203/8)\n' | deepmind/math_dataset |
b'Let b(c) be the first derivative of 3*c**2 + 6*c + 22. What is b(-4)?\n' | b'-18\n' | b'Let b(c) be the first derivative of 3*c**2 + 6*c + 22. What is b(-4)?\n' | b'-18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 2, c: 1, v: 4, k: 3, n: 7}. Give prob of picking 1 n and 1 w.\n' | b'7/68\n' | b'Two letters picked without replacement from {w: 2, c: 1, v: 4, k: 3, n: 7}. Give prob of picking 1 n and 1 w.\n' | b'7/68\n' | deepmind/math_dataset |
b'Simplify (((f/f**19*f*f)/f)/(f*f*f*f**(-5))*(f/(f/(f*f*f**0/f)))**38)**(-2/29) assuming f is positive.\n' | b'f**(-46/29)\n' | b'Simplify (((f/f**19*f*f)/f)/(f*f*f*f**(-5))*(f/(f/(f*f*f**0/f)))**38)**(-2/29) assuming f is positive.\n' | b'f**(-46/29)\n' | deepmind/math_dataset |
b'Suppose -5*n + 6 = -2*b, -18*n = -17*n - 3*b - 9. Solve -i + z + 4 = n, 2*i = 4*i + 5*z - 15 for i.\n' | b'5\n' | b'Suppose -5*n + 6 = -2*b, -18*n = -17*n - 3*b - 9. Solve -i + z + 4 = n, 2*i = 4*i + 5*z - 15 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d, 1 k, and 1 b when four letters picked without replacement from {b: 1, d: 2, n: 2, i: 1, k: 2}.\n' | b'1/35\n' | b'Calculate prob of picking 2 d, 1 k, and 1 b when four letters picked without replacement from {b: 1, d: 2, n: 2, i: 1, k: 2}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -3 = -2*o - o. Let n = -155 - -160. Suppose 8 = -0*m + 4*m. Solve -4*i = n*z + o, m*i = 4*z - 2*i + 8 for z.\n' | b'-1\n' | b'Suppose -3 = -2*o - o. Let n = -155 - -160. Suppose 8 = -0*m + 4*m. Solve -4*i = n*z + o, m*i = 4*z - 2*i + 8 for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(o) = 3*o**2 + 11*o. Let a be l(-6). Let c = 54 - a. Find the second derivative of 4*s - 3*s**5 + c*s - 3*s**5 wrt s.\n' | b'-120*s**3\n' | b'Let l(o) = 3*o**2 + 11*o. Let a be l(-6). Let c = 54 - a. Find the second derivative of 4*s - 3*s**5 + c*s - 3*s**5 wrt s.\n' | b'-120*s**3\n' | deepmind/math_dataset |
b'Let g = 379 - 353. Suppose 0 = 8*i - 10*i + 5*x - 8, -3*i + g = 2*x. Let j(p) = -5 - 4*p - p**3 + p**2 + 6*p**2 - 3*p. Determine j(i).\n' | b'-11\n' | b'Let g = 379 - 353. Suppose 0 = 8*i - 10*i + 5*x - 8, -3*i + g = 2*x. Let j(p) = -5 - 4*p - p**3 + p**2 + 6*p**2 - 3*p. Determine j(i).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of picking 2 n when two letters picked without replacement from snsbbbsbssnbbbbsbs?\n' | b'1/153\n' | b'What is prob of picking 2 n when two letters picked without replacement from snsbbbsbssnbbbbsbs?\n' | b'1/153\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 k when two letters picked without replacement from nvtttqqvkvt?\n' | b'4/55\n' | b'What is prob of picking 1 t and 1 k when two letters picked without replacement from nvtttqqvkvt?\n' | b'4/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 t when two letters picked without replacement from rrrvrtrwtwwrt.\n' | b'3/26\n' | b'Calculate prob of picking 1 w and 1 t when two letters picked without replacement from rrrvrtrwtwwrt.\n' | b'3/26\n' | deepmind/math_dataset |
b'What is prob of sequence msly when four letters picked without replacement from {y: 4, j: 1, l: 3, s: 2, m: 1}?\n' | b'1/330\n' | b'What is prob of sequence msly when four letters picked without replacement from {y: 4, j: 1, l: 3, s: 2, m: 1}?\n' | b'1/330\n' | deepmind/math_dataset |
b'Calculate prob of sequence rhbr when four letters picked without replacement from hhbrrhhhbbr.\n' | b'1/88\n' | b'Calculate prob of sequence rhbr when four letters picked without replacement from hhbrrhhhbbr.\n' | b'1/88\n' | deepmind/math_dataset |
b'What is prob of sequence uu when two letters picked without replacement from jjjujuuauu?\n' | b'2/9\n' | b'What is prob of sequence uu when two letters picked without replacement from jjjujuuauu?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let x(d) = 34*d**3 + 6*d**2 - 6*d + 27. Let f(v) = 101*v**3 + 17*v**2 - 17*v + 81. Let r(k) = 6*f(k) - 17*x(k). Find the first derivative of r(o) wrt o.\n' | b'84*o**2\n' | b'Let x(d) = 34*d**3 + 6*d**2 - 6*d + 27. Let f(v) = 101*v**3 + 17*v**2 - 17*v + 81. Let r(k) = 6*f(k) - 17*x(k). Find the first derivative of r(o) wrt o.\n' | b'84*o**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 w when two letters picked without replacement from ppqaqcwapapppppqq?\n' | b'1/34\n' | b'What is prob of picking 1 q and 1 w when two letters picked without replacement from ppqaqcwapapppppqq?\n' | b'1/34\n' | deepmind/math_dataset |
b'Simplify (((f*(f/((f*(f*f**(-3))/f)/f))/f*f)/(f*f*f*f*f**2*f))/((f*f**(-2/3))/f*f**1))/(f**(3/2)/(f*f/(f*(f**3*f)/f))*f**(-2/3)*f**0) assuming f is positive.\n' | b'f**(-31/6)\n' | b'Simplify (((f*(f/((f*(f*f**(-3))/f)/f))/f*f)/(f*f*f*f*f**2*f))/((f*f**(-2/3))/f*f**1))/(f**(3/2)/(f*f/(f*(f**3*f)/f))*f**(-2/3)*f**0) assuming f is positive.\n' | b'f**(-31/6)\n' | deepmind/math_dataset |
b'Let v(b) be the third derivative of -111*b**4/8 + 133*b**3/3 + 31*b**2 - 4*b. Find the first derivative of v(n) wrt n.\n' | b'-333\n' | b'Let v(b) be the third derivative of -111*b**4/8 + 133*b**3/3 + 31*b**2 - 4*b. Find the first derivative of v(n) wrt n.\n' | b'-333\n' | deepmind/math_dataset |
b'What is prob of sequence lu when two letters picked without replacement from {u: 5, l: 5, h: 3}?\n' | b'25/156\n' | b'What is prob of sequence lu when two letters picked without replacement from {u: 5, l: 5, h: 3}?\n' | b'25/156\n' | deepmind/math_dataset |
b'Let u be -5 + (-616)/(-12) - (-4)/6. Suppose 0 = 4*v + p + 103, -2*v - u = 8*p - 3*p. Let n be -5*(v/30 + 2/3). Let t(k) = -9*k**3 + k**2. Determine t(n).\n' | b'-8\n' | b'Let u be -5 + (-616)/(-12) - (-4)/6. Suppose 0 = 4*v + p + 103, -2*v - u = 8*p - 3*p. Let n be -5*(v/30 + 2/3). Let t(k) = -9*k**3 + k**2. Determine t(n).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -2 = 2*v + 6. Let t(f) = -4*f - 6. Let n be t(v). Let a = n + -2. Solve -2*z + a = -2*l, 0*l + 3*z = l + 6 for l.\n' | b'-3\n' | b'Suppose -2 = 2*v + 6. Let t(f) = -4*f - 6. Let n be t(v). Let a = n + -2. Solve -2*z + a = -2*l, 0*l + 3*z = l + 6 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u be 2/(-6)*2 - 314360/(-435). Let h = -717 + u. Solve -19 = h*f + 3*w, -3*f - w - 17 = -2*w for f.\n' | b'-5\n' | b'Let u be 2/(-6)*2 - 314360/(-435). Let h = -717 + u. Solve -19 = h*f + 3*w, -3*f - w - 17 = -2*w for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nbymmhsnbnnmnnhmhbbb. Give prob of picking 1 b, 1 n, and 2 h.\n' | b'6/323\n' | b'Four letters picked without replacement from nbymmhsnbnnmnnhmhbbb. Give prob of picking 1 b, 1 n, and 2 h.\n' | b'6/323\n' | deepmind/math_dataset |
b'Find the third derivative of 163*x**2 - 2 - 49*x**2 + 717*x**3 + 196*x**3 + 49*x**2 + 108*x**2 wrt x.\n' | b'5478\n' | b'Find the third derivative of 163*x**2 - 2 - 49*x**2 + 717*x**3 + 196*x**3 + 49*x**2 + 108*x**2 wrt x.\n' | b'5478\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, f: 1, n: 1, x: 3, s: 6}. Give prob of sequence fns.\n' | b'1/286\n' | b'Three letters picked without replacement from {g: 2, f: 1, n: 1, x: 3, s: 6}. Give prob of sequence fns.\n' | b'1/286\n' | deepmind/math_dataset |
b'Simplify ((k**(1/5)*k)**(1/52)/((k/(k**2*k))/((k*k**(-19/2))/k)))**(-10) assuming k is positive.\n' | b'k**(972/13)\n' | b'Simplify ((k**(1/5)*k)**(1/52)/((k/(k**2*k))/((k*k**(-19/2))/k)))**(-10) assuming k is positive.\n' | b'k**(972/13)\n' | deepmind/math_dataset |
b'Simplify ((f*f**(-3))/(f*f/(f*f**3))*f**(2/7)/(((f/(f/((f*f**7)/f)))/f)/f))**(-2/91) assuming f is positive.\n' | b'f**(66/637)\n' | b'Simplify ((f*f**(-3))/(f*f/(f*f**3))*f**(2/7)/(((f/(f/((f*f**7)/f)))/f)/f))**(-2/91) assuming f is positive.\n' | b'f**(66/637)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiiinnff. Give prob of sequence fnfi.\n' | b'1/105\n' | b'Four letters picked without replacement from iiiinnff. Give prob of sequence fnfi.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let f(n) = -824*n - 5765. Let g be f(-7). Solve g*o - 11 = 5*m - 7*m, 2*o - 12 = m for o.\n' | b'5\n' | b'Let f(n) = -824*n - 5765. Let g be f(-7). Solve g*o - 11 = 5*m - 7*m, 2*o - 12 = m for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let f(d) = 2*d + 42. Let u(g) = -g**3 + 43*g**2 + 9. Let b be u(43). Suppose -175 = -b*m - 355. What is f(m)?\n' | b'2\n' | b'Let f(d) = 2*d + 42. Let u(g) = -g**3 + 43*g**2 + 9. Let b be u(43). Suppose -175 = -b*m - 355. What is f(m)?\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 3*g + 65 = 5*p, -22*g + p = -20*g + 34. Let f(u) = -u**2 - 14*u + 12. Calculate f(g).\n' | b'-3\n' | b'Suppose 3*g + 65 = 5*p, -22*g + p = -20*g + 34. Let f(u) = -u**2 - 14*u + 12. Calculate f(g).\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence dqd when three letters picked without replacement from qddq.\n' | b'1/6\n' | b'Calculate prob of sequence dqd when three letters picked without replacement from qddq.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 0*g - 3*g = 3*z - 45, 0 = -2*z + 2. Suppose -37 = -3*j + 8. Let c be (g/(-5))/((-3)/j). Solve 2*d - 5*n + 3 = 2, -5*d + c = 4*n for d.\n' | b'2\n' | b'Suppose 0*g - 3*g = 3*z - 45, 0 = -2*z + 2. Suppose -37 = -3*j + 8. Let c be (g/(-5))/((-3)/j). Solve 2*d - 5*n + 3 = 2, -5*d + c = 4*n for d.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*d - 2 - 7 = 0, 2*d + 26 = 4*o. Suppose 18 = o*n + i - 3*i, 9 = 3*n - 3*i. Solve -w = 4*s - 9, n*w - s = -0*s + 2 for w.\n' | b'1\n' | b'Suppose -3*d - 2 - 7 = 0, 2*d + 26 = 4*o. Suppose 18 = o*n + i - 3*i, 9 = 3*n - 3*i. Solve -w = 4*s - 9, n*w - s = -0*s + 2 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 12*i + 56 = 20*i. Let q(b) be the third derivative of b**6/120 - 2*b**5/15 + b**4/4 - b**3 + b**2. Give q(i).\n' | b'-13\n' | b'Suppose 12*i + 56 = 20*i. Let q(b) be the third derivative of b**6/120 - 2*b**5/15 + b**4/4 - b**3 + b**2. Give q(i).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify ((o**(1/4))**(-29)*(o**(-1/7)/o)/o**(1/3))/(o/(o*o**(-4)/o)*o*o/(o/o**(2/5)))**(6/5) assuming o is positive.\n' | b'o**(-34453/2100)\n' | b'Simplify ((o**(1/4))**(-29)*(o**(-1/7)/o)/o**(1/3))/(o/(o*o**(-4)/o)*o*o/(o/o**(2/5)))**(6/5) assuming o is positive.\n' | b'o**(-34453/2100)\n' | deepmind/math_dataset |
b'What is prob of sequence uru when three letters picked without replacement from {u: 2, r: 1}?\n' | b'1/3\n' | b'What is prob of sequence uru when three letters picked without replacement from {u: 2, r: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mwvqt. Give prob of sequence wt.\n' | b'1/20\n' | b'Two letters picked without replacement from mwvqt. Give prob of sequence wt.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let u(g) = -g + 2. Suppose 0 = -39*w + 116*w + 95*w. Give u(w).\n' | b'2\n' | b'Let u(g) = -g + 2. Suppose 0 = -39*w + 116*w + 95*w. Give u(w).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aasa. What is prob of sequence as?\n' | b'1/4\n' | b'Two letters picked without replacement from aasa. What is prob of sequence as?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let k(w) = 2*w. Let s be (-20)/30 + ((-190)/6)/5. Calculate k(s).\n' | b'-14\n' | b'Let k(w) = 2*w. Let s be (-20)/30 + ((-190)/6)/5. Calculate k(s).\n' | b'-14\n' | deepmind/math_dataset |
b'What is prob of sequence mgq when three letters picked without replacement from {g: 1, m: 4, r: 5, l: 5, q: 5}?\n' | b'1/342\n' | b'What is prob of sequence mgq when three letters picked without replacement from {g: 1, m: 4, r: 5, l: 5, q: 5}?\n' | b'1/342\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 4, n: 2, i: 1}. Give prob of picking 1 n and 1 i.\n' | b'2/21\n' | b'Two letters picked without replacement from {w: 4, n: 2, i: 1}. Give prob of picking 1 n and 1 i.\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence rlg when three letters picked without replacement from {i: 1, l: 1, f: 3, g: 5, r: 1, s: 1}.\n' | b'1/264\n' | b'Calculate prob of sequence rlg when three letters picked without replacement from {i: 1, l: 1, f: 3, g: 5, r: 1, s: 1}.\n' | b'1/264\n' | deepmind/math_dataset |
b'Let d be (-1 - (-2)/(-4))/((-60)/(-80)). Let m be d/(4/12*-3). Solve -4*f + 2*f - 14 = 2*a, 0 = 3*f + m*a + 16 for f.\n' | b'-2\n' | b'Let d be (-1 - (-2)/(-4))/((-60)/(-80)). Let m be d/(4/12*-3). Solve -4*f + 2*f - 14 = 2*a, 0 = 3*f + m*a + 16 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(x) = -525*x**2 - 531*x**2 + 1574*x**2 + 1 - 522*x**2 + 2*x. Suppose -o = 5*t + 1, -5*t + o - 4 - 5 = 0. Give y(t).\n' | b'-5\n' | b'Let y(x) = -525*x**2 - 531*x**2 + 1574*x**2 + 1 - 522*x**2 + 2*x. Suppose -o = 5*t + 1, -5*t + o - 4 - 5 = 0. Give y(t).\n' | b'-5\n' | deepmind/math_dataset |
b'Let s be 1/((-3)/(-9))*-4. Let r be (-16)/(-6) - (-8)/s. Suppose -r*p + 0 = -4. Solve p*w = -3*a, -2*a = -w - 5*a + 3 for w.\n' | b'-3\n' | b'Let s be 1/((-3)/(-9))*-4. Let r be (-16)/(-6) - (-8)/s. Suppose -r*p + 0 = -4. Solve p*w = -3*a, -2*a = -w - 5*a + 3 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Let a(r) = 2867*r**4 - 28*r**2 - 1781*r. Let u(d) = 2*d**4 - 4*d**2. Let k(y) = 4*a(y) - 28*u(y). Find the second derivative of k(b) wrt b.\n' | b'136944*b**2\n' | b'Let a(r) = 2867*r**4 - 28*r**2 - 1781*r. Let u(d) = 2*d**4 - 4*d**2. Let k(y) = 4*a(y) - 28*u(y). Find the second derivative of k(b) wrt b.\n' | b'136944*b**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zntninnztintn. What is prob of picking 1 i, 1 z, and 1 t?\n' | b'6/143\n' | b'Three letters picked without replacement from zntninnztintn. What is prob of picking 1 i, 1 z, and 1 t?\n' | b'6/143\n' | deepmind/math_dataset |
b'Calculate prob of sequence kdt when three letters picked without replacement from {v: 3, d: 3, t: 4, x: 2, k: 4}.\n' | b'1/70\n' | b'Calculate prob of sequence kdt when three letters picked without replacement from {v: 3, d: 3, t: 4, x: 2, k: 4}.\n' | b'1/70\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, h: 1, q: 1, l: 1, y: 1}. Give prob of picking 1 h, 1 f, 1 q, and 1 y.\n' | b'1/5\n' | b'Four letters picked without replacement from {f: 1, h: 1, q: 1, l: 1, y: 1}. Give prob of picking 1 h, 1 f, 1 q, and 1 y.\n' | b'1/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 o, 1 m, and 1 p when four letters picked without replacement from {m: 1, u: 4, o: 4, p: 2}.\n' | b'16/165\n' | b'Calculate prob of picking 1 u, 1 o, 1 m, and 1 p when four letters picked without replacement from {m: 1, u: 4, o: 4, p: 2}.\n' | b'16/165\n' | deepmind/math_dataset |
b'Simplify (k**(-2)/k)**(-17/2)/(k**(2/33)*k**(3/8)/k*k) assuming k is positive.\n' | b'k**(6617/264)\n' | b'Simplify (k**(-2)/k)**(-17/2)/(k**(2/33)*k**(3/8)/k*k) assuming k is positive.\n' | b'k**(6617/264)\n' | deepmind/math_dataset |
b'What is prob of sequence pd when two letters picked without replacement from idtiditippttpd?\n' | b'9/182\n' | b'What is prob of sequence pd when two letters picked without replacement from idtiditippttpd?\n' | b'9/182\n' | deepmind/math_dataset |
b'Let v = 18 + -15. Let n = 5 - 7. Let w = 5 + n. Solve 3*x - 4*y - 21 = 0, -w*x = 3*y - y - v for x.\n' | b'3\n' | b'Let v = 18 + -15. Let n = 5 - 7. Let w = 5 + n. Solve 3*x - 4*y - 21 = 0, -w*x = 3*y - y - v for x.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(f) = -72*f - 3*f**2 + 2*f**2 - 72*f + 2 + 146*f - 10. Calculate x(4).\n' | b'-16\n' | b'Let x(f) = -72*f - 3*f**2 + 2*f**2 - 72*f + 2 + 146*f - 10. Calculate x(4).\n' | b'-16\n' | deepmind/math_dataset |
b'Let u be (2 - 0)/((-2)/(-4)). Suppose 0 = -3*s - 3, 2*w + s + u = -3*s. Solve h = -3*l - w*h + 13, 5 = 3*l - h for l.\n' | b'3\n' | b'Let u be (2 - 0)/((-2)/(-4)). Suppose 0 = -3*s - 3, 2*w + s + u = -3*s. Solve h = -3*l - w*h + 13, 5 = 3*l - h for l.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -13*w + 5*w = -32. Solve 0*v = w*p + 4*v - 16, 3*p = 5*v - 4 for p.\n' | b'2\n' | b'Suppose -13*w + 5*w = -32. Solve 0*v = w*p + 4*v - 16, 3*p = 5*v - 4 for p.\n' | b'2\n' | deepmind/math_dataset |
b'Let r = -42 - -51. Let j(s) = -s**3 + 9*s**2 + s - 11. Let o be j(r). Let b(u) = -22 - 4*u**3 + 10 + 3*u**3 - u**2 + 11 - u. Calculate b(o).\n' | b'5\n' | b'Let r = -42 - -51. Let j(s) = -s**3 + 9*s**2 + s - 11. Let o be j(r). Let b(u) = -22 - 4*u**3 + 10 + 3*u**3 - u**2 + 11 - u. Calculate b(o).\n' | b'5\n' | deepmind/math_dataset |
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