question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'What is prob of sequence em when two letters picked without replacement from {m: 7, k: 11, e: 1}?\n' | b'7/342\n' | b'What is prob of sequence em when two letters picked without replacement from {m: 7, k: 11, e: 1}?\n' | b'7/342\n' | deepmind/math_dataset |
b'Let m(h) be the second derivative of -h**5/60 - h**4/12 - h**3/3 - 5*h**2/2 - 4*h. Let f(x) be the first derivative of m(x). Give f(-2).\n' | b'-2\n' | b'Let m(h) be the second derivative of -h**5/60 - h**4/12 - h**3/3 - 5*h**2/2 - 4*h. Let f(x) be the first derivative of m(x). Give f(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -m + 8, 3*b - 3*m = 3 - 18. Let p(y) be the second derivative of -9/2*y**b - 8*y + 0 + 10*y**2. Find the first derivative of p(d) wrt d.\n' | b'-27\n' | b'Suppose 0 = -m + 8, 3*b - 3*m = 3 - 18. Let p(y) be the second derivative of -9/2*y**b - 8*y + 0 + 10*y**2. Find the first derivative of p(d) wrt d.\n' | b'-27\n' | deepmind/math_dataset |
b'What is prob of sequence avk when three letters picked without replacement from {k: 4, v: 1, j: 1, a: 7, n: 2}?\n' | b'2/195\n' | b'What is prob of sequence avk when three letters picked without replacement from {k: 4, v: 1, j: 1, a: 7, n: 2}?\n' | b'2/195\n' | deepmind/math_dataset |
b'Suppose 5*c - 1 = -6. Let j = c - -2. Let x be ((-4)/(-10))/(93/1860). Solve 3*d - 2*d - j = -2*i, 2*d - i = -x for d.\n' | b'-3\n' | b'Suppose 5*c - 1 = -6. Let j = c - -2. Let x be ((-4)/(-10))/(93/1860). Solve 3*d - 2*d - j = -2*i, 2*d - i = -x for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (r**12*r**2)/(r/(r*((r/r**(-6))/r)/r)*r*r**1) assuming r is positive.\n' | b'r**17\n' | b'Simplify (r**12*r**2)/(r/(r*((r/r**(-6))/r)/r)*r*r**1) assuming r is positive.\n' | b'r**17\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {h: 1, c: 1, t: 3, d: 5, n: 1, m: 4}.\n' | b'4/105\n' | b'Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {h: 1, c: 1, t: 3, d: 5, n: 1, m: 4}.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let z(q) = -q**2 + 2*q. Let l(o) = -1271*o**4 + 3*o**2 - 277*o. Let y(p) = l(p) + 3*z(p). What is the second derivative of y(s) wrt s?\n' | b'-15252*s**2\n' | b'Let z(q) = -q**2 + 2*q. Let l(o) = -1271*o**4 + 3*o**2 - 277*o. Let y(p) = l(p) + 3*z(p). What is the second derivative of y(s) wrt s?\n' | b'-15252*s**2\n' | deepmind/math_dataset |
b'Let t(w) = -45*w - 1 - 49*w - 1 + 9*w**3 + 128*w - 36*w. Calculate t(-1).\n' | b'-9\n' | b'Let t(w) = -45*w - 1 - 49*w - 1 + 9*w**3 + 128*w - 36*w. Calculate t(-1).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (q**(-5/4)*q)/q*q/q**(2/7)*q/(q*q**(-2/9))*q/(q/(q/(q/q**4*q)))*((q/q**(-2))**(-2/17))**(-5/9) assuming q is positive.\n' | b'q**(12349/4284)\n' | b'Simplify (q**(-5/4)*q)/q*q/q**(2/7)*q/(q*q**(-2/9))*q/(q/(q/(q/q**4*q)))*((q/q**(-2))**(-2/17))**(-5/9) assuming q is positive.\n' | b'q**(12349/4284)\n' | deepmind/math_dataset |
b'Simplify ((o*o**(-21)*o)/o)**(2/17)/(o**(1/33)*((o/o**(-7/4))/o*o)/o) assuming o is positive.\n' | b'o**(-9275/2244)\n' | b'Simplify ((o*o**(-21)*o)/o)**(2/17)/(o**(1/33)*((o/o**(-7/4))/o*o)/o) assuming o is positive.\n' | b'o**(-9275/2244)\n' | deepmind/math_dataset |
b'Simplify (a*a**(-34))**(-9)/(a**(-1/8)/a)**7 assuming a is positive.\n' | b'a**(2439/8)\n' | b'Simplify (a*a**(-34))**(-9)/(a**(-1/8)/a)**7 assuming a is positive.\n' | b'a**(2439/8)\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from {h: 2, v: 5}.\n' | b'10/21\n' | b'Calculate prob of sequence vv when two letters picked without replacement from {h: 2, v: 5}.\n' | b'10/21\n' | deepmind/math_dataset |
b'Suppose 10 = 2*b - 20. Solve g + s - 5 = 0, -g + 4*g = 5*s + b for g.\n' | b'5\n' | b'Suppose 10 = 2*b - 20. Solve g + s - 5 = 0, -g + 4*g = 5*s + b for g.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (j/j**(-4))**(2/105)*(j*j*j/(j**(3/16)*j))/(j*j**(-2/5)*j*j*j) assuming j is positive.\n' | b'j**(-2843/1680)\n' | b'Simplify (j/j**(-4))**(2/105)*(j*j*j/(j**(3/16)*j))/(j*j**(-2/5)*j*j*j) assuming j is positive.\n' | b'j**(-2843/1680)\n' | deepmind/math_dataset |
b'Simplify ((o**(-2/19))**34/(o**(-5))**(-7))**(-2/89) assuming o is positive.\n' | b'o**(1466/1691)\n' | b'Simplify ((o**(-2/19))**34/(o**(-5))**(-7))**(-2/89) assuming o is positive.\n' | b'o**(1466/1691)\n' | deepmind/math_dataset |
b'What is prob of picking 2 t and 1 g when three letters picked without replacement from tpyttpvgtttttttpty?\n' | b'55/816\n' | b'What is prob of picking 2 t and 1 g when three letters picked without replacement from tpyttpvgtttttttpty?\n' | b'55/816\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 e when three letters picked without replacement from {e: 12, r: 1}.\n' | b'10/13\n' | b'Calculate prob of picking 3 e when three letters picked without replacement from {e: 12, r: 1}.\n' | b'10/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ccncccnnccncccccnc. What is prob of sequence cn?\n' | b'65/306\n' | b'Two letters picked without replacement from ccncccnnccncccccnc. What is prob of sequence cn?\n' | b'65/306\n' | deepmind/math_dataset |
b'Simplify (u**(-7/2)/u)/u**21*(u*u**(-26)*u)/((u*u**(-1/2))/u*u) assuming u is positive.\n' | b'u**(-50)\n' | b'Simplify (u**(-7/2)/u)/u**21*(u*u**(-26)*u)/((u*u**(-1/2))/u*u) assuming u is positive.\n' | b'u**(-50)\n' | deepmind/math_dataset |
b'Let j = 750 + -738. Solve -5*p - 3 - j = 5*i, 5*i = -3*p - 9 for p.\n' | b'-3\n' | b'Let j = 750 + -738. Solve -5*p - 3 - j = 5*i, 5*i = -3*p - 9 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 4, p: 2, i: 7}. Give prob of sequence cc.\n' | b'1/13\n' | b'Two letters picked without replacement from {c: 4, p: 2, i: 7}. Give prob of sequence cc.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let u(f) = -7*f**2 + 40*f + 20. Let v(o) = 20*o**2 - 115*o - 57. Let j(w) = -17*u(w) - 6*v(w). Give j(7).\n' | b'23\n' | b'Let u(f) = -7*f**2 + 40*f + 20. Let v(o) = 20*o**2 - 115*o - 57. Let j(w) = -17*u(w) - 6*v(w). Give j(7).\n' | b'23\n' | deepmind/math_dataset |
b'Suppose a = -0*a - 2*u + 6, -10 = -4*a - u. Suppose 0 = 2*b + 2 - 10. Differentiate 0*g**4 + a + 6*g**4 - g**b wrt g.\n' | b'20*g**3\n' | b'Suppose a = -0*a - 2*u + 6, -10 = -4*a - u. Suppose 0 = 2*b + 2 - 10. Differentiate 0*g**4 + a + 6*g**4 - g**b wrt g.\n' | b'20*g**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from cxc?\n' | b'1/3\n' | b'What is prob of picking 2 c when two letters picked without replacement from cxc?\n' | b'1/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 13, s: 3}. Give prob of sequence susu.\n' | b'3/140\n' | b'Four letters picked without replacement from {u: 13, s: 3}. Give prob of sequence susu.\n' | b'3/140\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 1, t: 2, n: 6, a: 1, v: 2}?\n' | b'1/33\n' | b'What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 1, t: 2, n: 6, a: 1, v: 2}?\n' | b'1/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sncmy. What is prob of sequence cn?\n' | b'1/20\n' | b'Two letters picked without replacement from sncmy. What is prob of sequence cn?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let x(z) be the third derivative of z**5/60 - z**4/4 + z**3 - 2*z**2. Let r be (-14)/(-4) - (-5)/10. Calculate x(r).\n' | b'-2\n' | b'Let x(z) be the third derivative of z**5/60 - z**4/4 + z**3 - 2*z**2. Let r be (-14)/(-4) - (-5)/10. Calculate x(r).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fffffffsfsffsfsfffsf. What is prob of sequence fff?\n' | b'91/228\n' | b'Three letters picked without replacement from fffffffsfsffsfsfffsf. What is prob of sequence fff?\n' | b'91/228\n' | deepmind/math_dataset |
b'Let z(u) be the third derivative of u**7/42 - 5*u**3/6 + 4*u**2. What is the derivative of z(w) wrt w?\n' | b'20*w**3\n' | b'Let z(u) be the third derivative of u**7/42 - 5*u**3/6 + 4*u**2. What is the derivative of z(w) wrt w?\n' | b'20*w**3\n' | deepmind/math_dataset |
b'Let b(w) = w**3 + 5*w**2 - 16*w - 14. Let o be b(-7). Solve -k + 7*v - 4*v + 11 = o, 17 = 3*k - v for k.\n' | b'5\n' | b'Let b(w) = w**3 + 5*w**2 - 16*w - 14. Let o be b(-7). Solve -k + 7*v - 4*v + 11 = o, 17 = 3*k - v for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(f) be the second derivative of f**3/6 + f. Suppose 4*d + 38 = -n - 12, -3*n - 4*d - 54 = 0. What is b(n)?\n' | b'-2\n' | b'Let b(f) be the second derivative of f**3/6 + f. Suppose 4*d + 38 = -n - 12, -3*n - 4*d - 54 = 0. What is b(n)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0*n - n = -4. Let w = 29204 - 29204. Solve -2*l - 3*i - 3 = w, -n*l + 2*l - 7 = -i for l.\n' | b'-3\n' | b'Suppose 0*n - n = -4. Let w = 29204 - 29204. Solve -2*l - 3*i - 3 = w, -n*l + 2*l - 7 = -i for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the second derivative of 21*z + 116 + 355*z**3 + 103*z**3 - 136 - 9*z + 95*z**3 wrt z.\n' | b'3318*z\n' | b'Find the second derivative of 21*z + 116 + 355*z**3 + 103*z**3 - 136 - 9*z + 95*z**3 wrt z.\n' | b'3318*z\n' | deepmind/math_dataset |
b'Suppose 2*w = -50 - 22. Let h = w - -38. Suppose -n + 10 = f, -5*n = -6*f + h*f - 5. Solve 4*d + 4 = 0, o - d + 0*d = n for o.\n' | b'4\n' | b'Suppose 2*w = -50 - 22. Let h = w - -38. Suppose -n + 10 = f, -5*n = -6*f + h*f - 5. Solve 4*d + 4 = 0, o - d + 0*d = n for o.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 5, v: 4, m: 4, t: 2, l: 1}. What is prob of sequence cmc?\n' | b'1/42\n' | b'Three letters picked without replacement from {c: 5, v: 4, m: 4, t: 2, l: 1}. What is prob of sequence cmc?\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hwatxratx. What is prob of sequence wr?\n' | b'1/72\n' | b'Two letters picked without replacement from hwatxratx. What is prob of sequence wr?\n' | b'1/72\n' | deepmind/math_dataset |
b'Let l(z) be the third derivative of 9*z**8/112 + z**6/120 + 17*z**5/60 - z**4/12 + 62*z**2. Find the third derivative of l(t) wrt t.\n' | b'1620*t**2 + 6\n' | b'Let l(z) be the third derivative of 9*z**8/112 + z**6/120 + 17*z**5/60 - z**4/12 + 62*z**2. Find the third derivative of l(t) wrt t.\n' | b'1620*t**2 + 6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 18, u: 1}. What is prob of picking 2 u?\n' | b'0\n' | b'Two letters picked without replacement from {k: 18, u: 1}. What is prob of picking 2 u?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence hm when two letters picked without replacement from {k: 1, m: 2, h: 1, x: 1}.\n' | b'1/10\n' | b'Calculate prob of sequence hm when two letters picked without replacement from {k: 1, m: 2, h: 1, x: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let f(v) = v**2 - 27*v + 37. Let p be f(26). Suppose -w - 9 + p = 0. Let b be 5 + -1 + (2 - (w + 4)). Solve -4*r - 24 = -5*g + 3*g, b = 5*r - 2*g + 28 for r.\n' | b'-4\n' | b'Let f(v) = v**2 - 27*v + 37. Let p be f(26). Suppose -w - 9 + p = 0. Let b be 5 + -1 + (2 - (w + 4)). Solve -4*r - 24 = -5*g + 3*g, b = 5*r - 2*g + 28 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l be (-126)/(-28) - (-6)/(-4). Let h = -2 - -6. Solve 0*m - l*c - 1 = h*m, 4*m + 5*c - 1 = 0 for m.\n' | b'-1\n' | b'Let l be (-126)/(-28) - (-6)/(-4). Let h = -2 - -6. Solve 0*m - l*c - 1 = h*m, 4*m + 5*c - 1 = 0 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 1, s: 11, j: 7}. Give prob of sequence sjs.\n' | b'385/2907\n' | b'Three letters picked without replacement from {d: 1, s: 11, j: 7}. Give prob of sequence sjs.\n' | b'385/2907\n' | deepmind/math_dataset |
b'Suppose 237*x - 839 + 128 = 0. Solve 3*t - 3 = z + 2*t, 0 = -x*t + 15 for z.\n' | b'2\n' | b'Suppose 237*x - 839 + 128 = 0. Solve 3*t - 3 = z + 2*t, 0 = -x*t + 15 for z.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence pp when two letters picked without replacement from gppppppppppppppgpg?\n' | b'35/51\n' | b'What is prob of sequence pp when two letters picked without replacement from gppppppppppppppgpg?\n' | b'35/51\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 14, o: 1}. What is prob of picking 1 o and 1 n?\n' | b'2/15\n' | b'Two letters picked without replacement from {n: 14, o: 1}. What is prob of picking 1 o and 1 n?\n' | b'2/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eapezzaapxzaaazazppz. Give prob of sequence pe.\n' | b'2/95\n' | b'Two letters picked without replacement from eapezzaapxzaaazazppz. Give prob of sequence pe.\n' | b'2/95\n' | deepmind/math_dataset |
b'Simplify (x*x**5)**1/((x**(13/5)*x)/(x**(1/9)/x)) assuming x is positive.\n' | b'x**(68/45)\n' | b'Simplify (x*x**5)**1/((x**(13/5)*x)/(x**(1/9)/x)) assuming x is positive.\n' | b'x**(68/45)\n' | deepmind/math_dataset |
b'Let w(x) be the first derivative of 11*x**4/4 + x**3 + 2*x**2 + 2*x + 7076. Determine w(-1).\n' | b'-10\n' | b'Let w(x) be the first derivative of 11*x**4/4 + x**3 + 2*x**2 + 2*x + 7076. Determine w(-1).\n' | b'-10\n' | deepmind/math_dataset |
b'Let y(j) = -1118*j - j**2 + 0*j**2 + 2253*j + 22 - 1117*j. What is y(19)?\n' | b'3\n' | b'Let y(j) = -1118*j - j**2 + 0*j**2 + 2253*j + 22 - 1117*j. What is y(19)?\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 3 v and 1 b when four letters picked without replacement from bvvbvvb?\n' | b'12/35\n' | b'What is prob of picking 3 v and 1 b when four letters picked without replacement from bvvbvvb?\n' | b'12/35\n' | deepmind/math_dataset |
b'Simplify ((u*u**19*u)**33/((u/u**(-15))/(((u*(u*(u/(u/(u**(-38)/u)))/u)/u*u)/u*u*u)/u)))**(1/18) assuming u is positive.\n' | b'u**(71/2)\n' | b'Simplify ((u*u**19*u)**33/((u/u**(-15))/(((u*(u*(u/(u/(u**(-38)/u)))/u)/u*u)/u*u*u)/u)))**(1/18) assuming u is positive.\n' | b'u**(71/2)\n' | deepmind/math_dataset |
b'Simplify (f/(f*f**2)*f**(-2/7)*(f*f**0)**(10/7))/((f*f**(-1)*f*f*f)/(((f*f*f/f**(-5)*f)/f)/f)*((f**(-1)/f)/f)/(f*f**(2/9))) assuming f is positive.\n' | b'f**(464/63)\n' | b'Simplify (f/(f*f**2)*f**(-2/7)*(f*f**0)**(10/7))/((f*f**(-1)*f*f*f)/(((f*f*f/f**(-5)*f)/f)/f)*((f**(-1)/f)/f)/(f*f**(2/9))) assuming f is positive.\n' | b'f**(464/63)\n' | deepmind/math_dataset |
b'Let p(f) be the second derivative of f**3/6 + 3*f**2/2 + 2*f. Let g = 58 - 60. Let t be g/(-14) - (-1)/(-7). Give p(t).\n' | b'3\n' | b'Let p(f) be the second derivative of f**3/6 + 3*f**2/2 + 2*f. Let g = 58 - 60. Let t be g/(-14) - (-1)/(-7). Give p(t).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify h**(3/7)*h**7 assuming h is positive.\n' | b'h**(52/7)\n' | b'Simplify h**(3/7)*h**7 assuming h is positive.\n' | b'h**(52/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhhhhhttthhtth. Give prob of picking 3 h.\n' | b'3/13\n' | b'Three letters picked without replacement from hhhhhhttthhtth. Give prob of picking 3 h.\n' | b'3/13\n' | deepmind/math_dataset |
b'Suppose -2*h - 24 = -4*p - 6*h, 5*p + h - 14 = 0. Find the third derivative of -31*i**2 + 0*i**6 - 25*i**p - i**2 + 12*i**6 wrt i.\n' | b'1440*i**3\n' | b'Suppose -2*h - 24 = -4*p - 6*h, 5*p + h - 14 = 0. Find the third derivative of -31*i**2 + 0*i**6 - 25*i**p - i**2 + 12*i**6 wrt i.\n' | b'1440*i**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 p and 1 q when three letters picked without replacement from {p: 6, q: 3, d: 2, g: 2, a: 3}?\n' | b'9/112\n' | b'What is prob of picking 2 p and 1 q when three letters picked without replacement from {p: 6, q: 3, d: 2, g: 2, a: 3}?\n' | b'9/112\n' | deepmind/math_dataset |
b'Let t(k) = k - 1. Let u be t(5). Suppose -r = -1, u*g + 2*r - 27 = -g. Solve -15 = 5*p, 2*z - 5*z - 6 = g*p for z.\n' | b'3\n' | b'Let t(k) = k - 1. Let u be t(5). Suppose -r = -1, u*g + 2*r - 27 = -g. Solve -15 = 5*p, 2*z - 5*z - 6 = g*p for z.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wxwwwwwwwwwxwwwwww. What is prob of picking 3 w and 1 x?\n' | b'56/153\n' | b'Four letters picked without replacement from wxwwwwwwwwwxwwwwww. What is prob of picking 3 w and 1 x?\n' | b'56/153\n' | deepmind/math_dataset |
b'Find the second derivative of 12 - 18 + 6 - 94*j + 125*j**4 wrt j.\n' | b'1500*j**2\n' | b'Find the second derivative of 12 - 18 + 6 - 94*j + 125*j**4 wrt j.\n' | b'1500*j**2\n' | deepmind/math_dataset |
b'Let m(c) be the second derivative of c**7/42 + c**6/30 - 7*c**4/2 - 11*c. What is the third derivative of m(s) wrt s?\n' | b'60*s**2 + 24*s\n' | b'Let m(c) be the second derivative of c**7/42 + c**6/30 - 7*c**4/2 - 11*c. What is the third derivative of m(s) wrt s?\n' | b'60*s**2 + 24*s\n' | deepmind/math_dataset |
b'Let b(c) be the third derivative of c**7/42 + 269*c**6/120 - c**5/30 + c**4/6 - 333*c**3/2 + 3*c**2 + 6*c + 2. What is the second derivative of b(w) wrt w?\n' | b'60*w**2 + 1614*w - 4\n' | b'Let b(c) be the third derivative of c**7/42 + 269*c**6/120 - c**5/30 + c**4/6 - 333*c**3/2 + 3*c**2 + 6*c + 2. What is the second derivative of b(w) wrt w?\n' | b'60*w**2 + 1614*w - 4\n' | deepmind/math_dataset |
b'Let u(j) = 0 - 8 - 3 - j**2 + 9*j + 4. What is u(8)?\n' | b'1\n' | b'Let u(j) = 0 - 8 - 3 - j**2 + 9*j + 4. What is u(8)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from begbbgeggbbbb?\n' | b'1/13\n' | b'What is prob of picking 2 g when two letters picked without replacement from begbbgeggbbbb?\n' | b'1/13\n' | deepmind/math_dataset |
b'Let b(p) be the second derivative of p**5/24 + p**4/6 + p**3/6 + 2*p. Let k(q) be the second derivative of b(q). What is the derivative of k(x) wrt x?\n' | b'5\n' | b'Let b(p) be the second derivative of p**5/24 + p**4/6 + p**3/6 + 2*p. Let k(q) be the second derivative of b(q). What is the derivative of k(x) wrt x?\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 11, z: 1, d: 5}. What is prob of sequence dx?\n' | b'55/272\n' | b'Two letters picked without replacement from {x: 11, z: 1, d: 5}. What is prob of sequence dx?\n' | b'55/272\n' | deepmind/math_dataset |
b'Let l(z) = z**3 - 5*z**2 - 24*z + 84. Let f be l(3). Let y(o) = -o + 1. Let g(m) = 6*m + 6. Let h(s) = g(s) + 2*y(s). Calculate h(f).\n' | b'-16\n' | b'Let l(z) = z**3 - 5*z**2 - 24*z + 84. Let f be l(3). Let y(o) = -o + 1. Let g(m) = 6*m + 6. Let h(s) = g(s) + 2*y(s). Calculate h(f).\n' | b'-16\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 o when two letters picked without replacement from seesbesppbao.\n' | b'1/22\n' | b'Calculate prob of picking 1 e and 1 o when two letters picked without replacement from seesbesppbao.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let q = -53 - -57. What is the second derivative of -7*r + 10*r + 8*r + 7*r**q wrt r?\n' | b'84*r**2\n' | b'Let q = -53 - -57. What is the second derivative of -7*r + 10*r + 8*r + 7*r**q wrt r?\n' | b'84*r**2\n' | deepmind/math_dataset |
b'Simplify (s/(s**2/s)*s**(4/5))/(s*s**1*s)**(-1/72)*((s**(-2/7))**(-3))**42 assuming s is positive.\n' | b's**(4421/120)\n' | b'Simplify (s/(s**2/s)*s**(4/5))/(s*s**1*s)**(-1/72)*((s**(-2/7))**(-3))**42 assuming s is positive.\n' | b's**(4421/120)\n' | deepmind/math_dataset |
b'Let l(y) = 320*y**2 + 74*y + 6. Let x(t) = 64*t**2 + 15*t + 1. Let q(s) = -3*l(s) + 16*x(s). What is the second derivative of q(f) wrt f?\n' | b'128\n' | b'Let l(y) = 320*y**2 + 74*y + 6. Let x(t) = 64*t**2 + 15*t + 1. Let q(s) = -3*l(s) + 16*x(s). What is the second derivative of q(f) wrt f?\n' | b'128\n' | deepmind/math_dataset |
b'Let u be (-326)/(-14) - ((-12)/14)/(-3). Let n = u - 19. What is the second derivative of -v - 5*v - n*v + 11*v**4 wrt v?\n' | b'132*v**2\n' | b'Let u be (-326)/(-14) - ((-12)/14)/(-3). Let n = u - 19. What is the second derivative of -v - 5*v - n*v + 11*v**4 wrt v?\n' | b'132*v**2\n' | deepmind/math_dataset |
b'Simplify s/(s*(s/(((s*s**(-1/5))/s)/s))/s)*s*s**(-2/13)*s**33*s*s**38 assuming s is positive.\n' | b's**(4657/65)\n' | b'Simplify s/(s*(s/(((s*s**(-1/5))/s)/s))/s)*s*s**(-2/13)*s**33*s*s**38 assuming s is positive.\n' | b's**(4657/65)\n' | deepmind/math_dataset |
b'Simplify (l/(l/(l/(l/l**20)*l)))/l**(-1/34) assuming l is positive.\n' | b'l**(715/34)\n' | b'Simplify (l/(l/(l/(l/l**20)*l)))/l**(-1/34) assuming l is positive.\n' | b'l**(715/34)\n' | deepmind/math_dataset |
b'Suppose -31 = 4*s - 39. Solve 40 = 4*b - 5*c, -6*b - 3*c + 8 = -s*b for b.\n' | b'5\n' | b'Suppose -31 = 4*s - 39. Solve 40 = 4*b - 5*c, -6*b - 3*c + 8 = -s*b for b.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ia when two letters picked without replacement from ica.\n' | b'1/6\n' | b'Calculate prob of sequence ia when two letters picked without replacement from ica.\n' | b'1/6\n' | deepmind/math_dataset |
b'Find the third derivative of 5 + 2275203*o**2 - 4 - 2275154*o**2 + 9893*o**3 - 6*o wrt o.\n' | b'59358\n' | b'Find the third derivative of 5 + 2275203*o**2 - 4 - 2275154*o**2 + 9893*o**3 - 6*o wrt o.\n' | b'59358\n' | deepmind/math_dataset |
b'Let m(k) = 13*k**3 - 35*k**2 + 60*k + 307. Let c(h) = 8*h**3 - 22*h**2 + 37*h + 189. Let n(u) = -34*c(u) + 21*m(u). Let d = 17 - 30. Determine n(d).\n' | b'-5\n' | b'Let m(k) = 13*k**3 - 35*k**2 + 60*k + 307. Let c(h) = 8*h**3 - 22*h**2 + 37*h + 189. Let n(u) = -34*c(u) + 21*m(u). Let d = 17 - 30. Determine n(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Let b(i) = i + 1. Let a(q) = 4*q**3 + 4*q - 1. Let g(w) = a(w) + b(w). What is the second derivative of g(m) wrt m?\n' | b'24*m\n' | b'Let b(i) = i + 1. Let a(q) = 4*q**3 + 4*q - 1. Let g(w) = a(w) + b(w). What is the second derivative of g(m) wrt m?\n' | b'24*m\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 i when three letters picked without replacement from iiisioiiiii?\n' | b'12/55\n' | b'What is prob of picking 1 o and 2 i when three letters picked without replacement from iiisioiiiii?\n' | b'12/55\n' | deepmind/math_dataset |
b'Let w = 281 - 280. Let v(l) = 3*l**3 + l - 1. Let h(n) = 131*n**3 + 20*n**2 + 2*n - 5. Let f(d) = w*h(d) - 5*v(d). What is the third derivative of f(m) wrt m?\n' | b'696\n' | b'Let w = 281 - 280. Let v(l) = 3*l**3 + l - 1. Let h(n) = 131*n**3 + 20*n**2 + 2*n - 5. Let f(d) = w*h(d) - 5*v(d). What is the third derivative of f(m) wrt m?\n' | b'696\n' | deepmind/math_dataset |
b'Let s(x) = -x**2 - x + 17. Let u be s(0). Suppose 15*c - u*c + 6 = 0. Solve 0*h + 20 = -c*r + 4*h, 10 = -4*r + 2*h for r.\n' | b'0\n' | b'Let s(x) = -x**2 - x + 17. Let u be s(0). Suppose 15*c - u*c + 6 = 0. Solve 0*h + 20 = -c*r + 4*h, 10 = -4*r + 2*h for r.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 3, x: 2}. What is prob of sequence xy?\n' | b'3/10\n' | b'Two letters picked without replacement from {y: 3, x: 2}. What is prob of sequence xy?\n' | b'3/10\n' | deepmind/math_dataset |
b'Suppose -5*b + 19 = -41. Let g be (-2)/12 - (-26)/b. Solve 0 = -j + 4*u + 16, 5*u + 37 - g = 5*j for j.\n' | b'4\n' | b'Suppose -5*b + 19 = -41. Let g be (-2)/12 - (-26)/b. Solve 0 = -j + 4*u + 16, 5*u + 37 - g = 5*j for j.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence ghth when four letters picked without replacement from hhhbgbhth?\n' | b'5/756\n' | b'What is prob of sequence ghth when four letters picked without replacement from hhhbgbhth?\n' | b'5/756\n' | deepmind/math_dataset |
b'Suppose 9*z - 14*z = -5. Let m be (-12 + 8 - -3)*z*-5. Solve -2*t + 17 = -0*t - m*w, 2*t + 3 = w for t.\n' | b'-4\n' | b'Suppose 9*z - 14*z = -5. Let m be (-12 + 8 - -3)*z*-5. Solve -2*t + 17 = -0*t - m*w, 2*t + 3 = w for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let t be (1*3)/(6/4). Suppose -10*b + 12*b - y + 2 = 0, 5*b + 2*y - 4 = 0. Solve b = 2*a - t, 2*s - 2 = a + 1 for s.\n' | b'2\n' | b'Let t be (1*3)/(6/4). Suppose -10*b + 12*b - y + 2 = 0, 5*b + 2*y - 4 = 0. Solve b = 2*a - t, 2*s - 2 = a + 1 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 1, f: 14}. Give prob of sequence jjjj.\n' | b'0\n' | b'Four letters picked without replacement from {j: 1, f: 14}. Give prob of sequence jjjj.\n' | b'0\n' | deepmind/math_dataset |
b'What is the second derivative of 28*b**4 - 26 - 90*b**3 + 22*b - 130*b**2 - 16*b**4 - 16*b**4 + 86*b**3 wrt b?\n' | b'-48*b**2 - 24*b - 260\n' | b'What is the second derivative of 28*b**4 - 26 - 90*b**3 + 22*b - 130*b**2 - 16*b**4 - 16*b**4 + 86*b**3 wrt b?\n' | b'-48*b**2 - 24*b - 260\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppipxwxp. What is prob of picking 1 w and 1 i?\n' | b'1/28\n' | b'Two letters picked without replacement from ppipxwxp. What is prob of picking 1 w and 1 i?\n' | b'1/28\n' | deepmind/math_dataset |
b'What is prob of sequence qvq when three letters picked without replacement from {v: 6, f: 2, q: 10}?\n' | b'15/136\n' | b'What is prob of sequence qvq when three letters picked without replacement from {v: 6, f: 2, q: 10}?\n' | b'15/136\n' | deepmind/math_dataset |
b'Simplify d**(-3)/d**6*((d*d**(2/17))/d)/(d*d**(-6/11)) assuming d is positive.\n' | b'd**(-1746/187)\n' | b'Simplify d**(-3)/d**6*((d*d**(2/17))/d)/(d*d**(-6/11)) assuming d is positive.\n' | b'd**(-1746/187)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjjdjjjjdjj. What is prob of sequence jj?\n' | b'36/55\n' | b'Two letters picked without replacement from jjjdjjjjdjj. What is prob of sequence jj?\n' | b'36/55\n' | deepmind/math_dataset |
b'Let r(n) = -n**3 + 30*n**2 - 28*n - 34. Let w(z) = -z**2 + 32*z - 191. Let p be w(10). What is r(p)?\n' | b'-5\n' | b'Let r(n) = -n**3 + 30*n**2 - 28*n - 34. Let w(z) = -z**2 + 32*z - 191. Let p be w(10). What is r(p)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let p(c) = 3*c - 1. Let y be p(2). Suppose 0 = y*r - 5 - 5. Find the third derivative of w**2 - r*w**4 + w**4 + 3*w**2 wrt w.\n' | b'-24*w\n' | b'Let p(c) = 3*c - 1. Let y be p(2). Suppose 0 = y*r - 5 - 5. Find the third derivative of w**2 - r*w**4 + w**4 + 3*w**2 wrt w.\n' | b'-24*w\n' | deepmind/math_dataset |
b'Let b(q) be the first derivative of 9*q**5/5 - 10*q + 6. What is the first derivative of b(j) wrt j?\n' | b'36*j**3\n' | b'Let b(q) be the first derivative of 9*q**5/5 - 10*q + 6. What is the first derivative of b(j) wrt j?\n' | b'36*j**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, f: 6, h: 8}. What is prob of sequence hi?\n' | b'4/105\n' | b'Two letters picked without replacement from {i: 1, f: 6, h: 8}. What is prob of sequence hi?\n' | b'4/105\n' | deepmind/math_dataset |
b'Let q(j) = j**2 + 10*j + 5. Let z be q(-8). Let s(t) = t**2 + 13*t + 8. Let p be s(z). Let x = -9 - p. Solve c + 2*d - 11 = -3, 4*d = x*c + 2 for c.\n' | b'2\n' | b'Let q(j) = j**2 + 10*j + 5. Let z be q(-8). Let s(t) = t**2 + 13*t + 8. Let p be s(z). Let x = -9 - p. Solve c + 2*d - 11 = -3, 4*d = x*c + 2 for c.\n' | b'2\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.