question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let n(c) = -101*c**3 + 4*c**2 - 211*c + 102*c**3 + 204*c - 3. Calculate n(2).\n' | b'7\n' | b'Let n(c) = -101*c**3 + 4*c**2 - 211*c + 102*c**3 + 204*c - 3. Calculate n(2).\n' | b'7\n' | deepmind/math_dataset |
b'Let y be (-6)/16 - 2310/(-528). Let t be (0/(-2))/(-2)*-1. Solve 5 = -2*a - g, -a + y*g + 2 = -t*a for a.\n' | b'-2\n' | b'Let y be (-6)/16 - 2310/(-528). Let t be (0/(-2))/(-2)*-1. Solve 5 = -2*a - g, -a + y*g + 2 = -t*a for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (r**(-1))**(-40)/(r**(-2/9)*r**(-1/13)*r)*((r*r**4*r)/(r**(-2)*r))/(r**(1/2))**36 assuming r is positive.\n' | b'r**(3311/117)\n' | b'Simplify (r**(-1))**(-40)/(r**(-2/9)*r**(-1/13)*r)*((r*r**4*r)/(r**(-2)*r))/(r**(1/2))**36 assuming r is positive.\n' | b'r**(3311/117)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xjc when three letters picked without replacement from wjjwwdcxw.\n' | b'1/252\n' | b'Calculate prob of sequence xjc when three letters picked without replacement from wjjwwdcxw.\n' | b'1/252\n' | deepmind/math_dataset |
b'Let n(m) = 11563*m - m**3 + 9 - 23094*m + 11542*m + 6*m**2. Determine n(8).\n' | b'-31\n' | b'Let n(m) = 11563*m - m**3 + 9 - 23094*m + 11542*m + 6*m**2. Determine n(8).\n' | b'-31\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 1, s: 1, a: 2, v: 1, u: 1, b: 1}. Give prob of picking 1 w, 2 b, and 1 u.\n' | b'0\n' | b'Four letters picked without replacement from {w: 1, s: 1, a: 2, v: 1, u: 1, b: 1}. Give prob of picking 1 w, 2 b, and 1 u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (o**(-3)*o**(1/6))/(o**(-4)/o*o**(-1/5)*o*o) assuming o is positive.\n' | b'o**(11/30)\n' | b'Simplify (o**(-3)*o**(1/6))/(o**(-4)/o*o**(-1/5)*o*o) assuming o is positive.\n' | b'o**(11/30)\n' | deepmind/math_dataset |
b'Simplify s/(s**(1/2)/s)*s**(-3/2)*s**(-1/6)/(((s*s**3)/s*s)/s)*(s*s**(-1)*s*s)**(-1/6)*(s*s**(-1)*s)/s*(s**(-2/11)*s)/s assuming s is positive.\n' | b's**(-81/22)\n' | b'Simplify s/(s**(1/2)/s)*s**(-3/2)*s**(-1/6)/(((s*s**3)/s*s)/s)*(s*s**(-1)*s*s)**(-1/6)*(s*s**(-1)*s)/s*(s**(-2/11)*s)/s assuming s is positive.\n' | b's**(-81/22)\n' | deepmind/math_dataset |
b'Simplify (h**(-2/7))**(-10/9) assuming h is positive.\n' | b'h**(20/63)\n' | b'Simplify (h**(-2/7))**(-10/9) assuming h is positive.\n' | b'h**(20/63)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 3, a: 1, p: 1, j: 3, n: 5, d: 4}. Give prob of sequence jn.\n' | b'15/272\n' | b'Two letters picked without replacement from {k: 3, a: 1, p: 1, j: 3, n: 5, d: 4}. Give prob of sequence jn.\n' | b'15/272\n' | deepmind/math_dataset |
b'Suppose -12285 = s - 40*s. Let j be s/60 - 3/(-12)*-1. Solve d - j*f = -24, 3*f - 1 = -2*d + 3 for d.\n' | b'-4\n' | b'Suppose -12285 = s - 40*s. Let j be s/60 - 3/(-12)*-1. Solve d - j*f = -24, 3*f - 1 = -2*d + 3 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let d(o) be the first derivative of 0*o**4 + 1/6*o**6 - o**2 - 3 + 0*o**3 + 0*o + 0*o**5. What is the second derivative of d(r) wrt r?\n' | b'20*r**3\n' | b'Let d(o) be the first derivative of 0*o**4 + 1/6*o**6 - o**2 - 3 + 0*o**3 + 0*o + 0*o**5. What is the second derivative of d(r) wrt r?\n' | b'20*r**3\n' | deepmind/math_dataset |
b'Let u = 101 - 97. Suppose -5*p - 2*j = u, -2*j - 4 = -7*p + 8*p. Solve -w - 2 = 3*x, p = -0*x + x - 5*w + 6 for x.\n' | b'-1\n' | b'Let u = 101 - 97. Suppose -5*p - 2*j = u, -2*j - 4 = -7*p + 8*p. Solve -w - 2 = 3*x, p = -0*x + x - 5*w + 6 for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u = -20 - -25. Let v(l) = l**3 - 5*l**2 + l. Calculate v(u).\n' | b'5\n' | b'Let u = -20 - -25. Let v(l) = l**3 - 5*l**2 + l. Calculate v(u).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 3 = 3*h + v, -4 = -h + v + 1. Find the third derivative of 22*c**h + 10*c**2 + 14*c**3 - 18*c**2 wrt c.\n' | b'84\n' | b'Suppose 3 = 3*h + v, -4 = -h + v + 1. Find the third derivative of 22*c**h + 10*c**2 + 14*c**3 - 18*c**2 wrt c.\n' | b'84\n' | deepmind/math_dataset |
b'Let c(v) = v**2 + 11*v + 9. Let u be c(-13). Suppose 9*h - 35 = -u. Solve 5*o = -3*x + 5, 3*o - 2*x - 23 + 1 = h for o.\n' | b'4\n' | b'Let c(v) = v**2 + 11*v + 9. Let u be c(-13). Suppose 9*h - 35 = -u. Solve 5*o = -3*x + 5, 3*o - 2*x - 23 + 1 = h for o.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, r: 7, u: 1, v: 2}. Give prob of picking 1 v and 1 r.\n' | b'7/33\n' | b'Two letters picked without replacement from {m: 2, r: 7, u: 1, v: 2}. Give prob of picking 1 v and 1 r.\n' | b'7/33\n' | deepmind/math_dataset |
b'Suppose 18 = -0*c - 3*c. Let j = c + 8. Solve -j*p - 4 = 0, 4*o + 4*p - 5*p + 6 = 0 for o.\n' | b'-2\n' | b'Suppose 18 = -0*c - 3*c. Let j = c + 8. Solve -j*p - 4 = 0, 4*o + 4*p - 5*p + 6 = 0 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p(o) = -141*o**2 - 27*o - 46. Let q(j) = 168*j**2 + 28*j + 48. Let a(l) = 6*p(l) + 5*q(l). Calculate a(-2).\n' | b'-16\n' | b'Let p(o) = -141*o**2 - 27*o - 46. Let q(j) = 168*j**2 + 28*j + 48. Let a(l) = 6*p(l) + 5*q(l). Calculate a(-2).\n' | b'-16\n' | deepmind/math_dataset |
b'What is the second derivative of 1216 - 4995*t**2 - 12282*t + 12281*t + 643 wrt t?\n' | b'-9990\n' | b'What is the second derivative of 1216 - 4995*t**2 - 12282*t + 12281*t + 643 wrt t?\n' | b'-9990\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ccfcf. Give prob of sequence cf.\n' | b'3/10\n' | b'Two letters picked without replacement from ccfcf. Give prob of sequence cf.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of picking 3 u when three letters picked without replacement from {u: 13, z: 3}?\n' | b'143/280\n' | b'What is prob of picking 3 u when three letters picked without replacement from {u: 13, z: 3}?\n' | b'143/280\n' | deepmind/math_dataset |
b'Let v(c) = 3*c**2 - 1. Let s(k) = -k**2 - 1. Let j = 36 - 33. Suppose -2*u + j*z = 14, 4*u - 5*z = u - 23. Let g(i) = u*v(i) - 2*s(i). Give g(-4).\n' | b'-13\n' | b'Let v(c) = 3*c**2 - 1. Let s(k) = -k**2 - 1. Let j = 36 - 33. Suppose -2*u + j*z = 14, 4*u - 5*z = u - 23. Let g(i) = u*v(i) - 2*s(i). Give g(-4).\n' | b'-13\n' | deepmind/math_dataset |
b'Let u(h) = h**3 + 2*h**2 - 5*h + 2. Let r = -67 + 63. Give u(r).\n' | b'-10\n' | b'Let u(h) = h**3 + 2*h**2 - 5*h + 2. Let r = -67 + 63. Give u(r).\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose -4*u + 2*u + 6 = 0. Suppose u*q + 0*q = 0. Let h(k) = -k**2 - 4*k + 1. Let w be h(-3). Solve 3*b + 0*f = -w*f - 8, b + 5*f - 1 = q for b.\n' | b'-4\n' | b'Suppose -4*u + 2*u + 6 = 0. Suppose u*q + 0*q = 0. Let h(k) = -k**2 - 4*k + 1. Let w be h(-3). Solve 3*b + 0*f = -w*f - 8, b + 5*f - 1 = q for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*x - 13 = -f, 4*f + 5*x = 4*x + 17. Let o(r) be the second derivative of -1/2*r**2 + 0 + 12*r + 7/6*r**f. Calculate o(-1).\n' | b'-8\n' | b'Suppose 2*x - 13 = -f, 4*f + 5*x = 4*x + 17. Let o(r) be the second derivative of -1/2*r**2 + 0 + 12*r + 7/6*r**f. Calculate o(-1).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence lerl when four letters picked without replacement from {r: 1, l: 2, u: 1, e: 1, x: 2}.\n' | b'1/420\n' | b'Calculate prob of sequence lerl when four letters picked without replacement from {r: 1, l: 2, u: 1, e: 1, x: 2}.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let c be (2/2)/(6/48). Let d(m) = -25*m - 31. Let s(i) = 3*i + 6. Let o(b) = -d(b) - 8*s(b). What is o(c)?\n' | b'-9\n' | b'Let c be (2/2)/(6/48). Let d(m) = -25*m - 31. Let s(i) = 3*i + 6. Let o(b) = -d(b) - 8*s(b). What is o(c)?\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 u when two letters picked without replacement from udpph.\n' | b'1/10\n' | b'Calculate prob of picking 1 d and 1 u when two letters picked without replacement from udpph.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 1, j: 3, x: 1, e: 2, s: 4}. What is prob of sequence sjss?\n' | b'1/110\n' | b'Four letters picked without replacement from {i: 1, j: 3, x: 1, e: 2, s: 4}. What is prob of sequence sjss?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let k(p) be the third derivative of 0*p**6 + 0*p**5 + 3/2*p**3 + 15*p**2 + 0*p + 11/210*p**7 + 0*p**4 + 0. What is the first derivative of k(r) wrt r?\n' | b'44*r**3\n' | b'Let k(p) be the third derivative of 0*p**6 + 0*p**5 + 3/2*p**3 + 15*p**2 + 0*p + 11/210*p**7 + 0*p**4 + 0. What is the first derivative of k(r) wrt r?\n' | b'44*r**3\n' | deepmind/math_dataset |
b'Let o(s) = 12*s - 16. Let l be o(5). What is the second derivative of -106 + 56 + 50 + l*u - 65*u**2 wrt u?\n' | b'-130\n' | b'Let o(s) = 12*s - 16. Let l be o(5). What is the second derivative of -106 + 56 + 50 + l*u - 65*u**2 wrt u?\n' | b'-130\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, i: 2, s: 2}. Give prob of picking 2 s and 2 r.\n' | b'1/15\n' | b'Four letters picked without replacement from {r: 2, i: 2, s: 2}. Give prob of picking 2 s and 2 r.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from ovovovoovovooooovvo?\n' | b'7/57\n' | b'What is prob of sequence vv when two letters picked without replacement from ovovovoovovooooovvo?\n' | b'7/57\n' | deepmind/math_dataset |
b'Suppose 4 + 6 = -2*g - 2*i, 5*g - 10 = 2*i. Let v(q) = -5*q + 22. Let r(f) = -f + 3. Suppose -6*s - s = 7. Let h(z) = s*v(z) + 6*r(z). What is h(g)?\n' | b'-4\n' | b'Suppose 4 + 6 = -2*g - 2*i, 5*g - 10 = 2*i. Let v(q) = -5*q + 22. Let r(f) = -f + 3. Suppose -6*s - s = 7. Let h(z) = s*v(z) + 6*r(z). What is h(g)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let u = 358 - 352. Let p(d) be the first derivative of u*d + 5/2*d**2 - 1/3*d**3 + 3. Determine p(5).\n' | b'6\n' | b'Let u = 358 - 352. Let p(d) be the first derivative of u*d + 5/2*d**2 - 1/3*d**3 + 3. Determine p(5).\n' | b'6\n' | deepmind/math_dataset |
b'Let a(x) = -x**2 - 15*x + 10. Let u be a(-15). Suppose 11*m - 2 = u*m. Solve 2*q = t - 4, -t = 2*q + m*t + 4 for q.\n' | b'-2\n' | b'Let a(x) = -x**2 - 15*x + 10. Let u be a(-15). Suppose 11*m - 2 = u*m. Solve 2*q = t - 4, -t = 2*q + m*t + 4 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v(c) = -c**3 + 3*c**2 - 2*c - 2. Suppose -16 = -4*u, 5*u = l + 7 + 11. Calculate v(l).\n' | b'-2\n' | b'Let v(c) = -c**3 + 3*c**2 - 2*c - 2. Suppose -16 = -4*u, 5*u = l + 7 + 11. Calculate v(l).\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(u) be the third derivative of 11*u**7/210 - u**6/40 - 31*u**3/6 - 33*u**2 - 2*u. Differentiate b(l) with respect to l.\n' | b'44*l**3 - 9*l**2\n' | b'Let b(u) be the third derivative of 11*u**7/210 - u**6/40 - 31*u**3/6 - 33*u**2 - 2*u. Differentiate b(l) with respect to l.\n' | b'44*l**3 - 9*l**2\n' | deepmind/math_dataset |
b'Let t(h) be the first derivative of 0*h**4 - 3 - 4/5*h**5 + 0*h**3 + 0*h**2 + 2*h. What is the derivative of t(n) wrt n?\n' | b'-16*n**3\n' | b'Let t(h) be the first derivative of 0*h**4 - 3 - 4/5*h**5 + 0*h**3 + 0*h**2 + 2*h. What is the derivative of t(n) wrt n?\n' | b'-16*n**3\n' | deepmind/math_dataset |
b'Simplify (k*k*k**(-1/3))/k*k/(k*k**(2/13))*k**5/k*k**(-6) assuming k is positive.\n' | b'k**(-58/39)\n' | b'Simplify (k*k*k**(-1/3))/k*k/(k*k**(2/13))*k**5/k*k**(-6) assuming k is positive.\n' | b'k**(-58/39)\n' | deepmind/math_dataset |
b'Simplify (((x/((x*((x*x/((x/x**(-12))/x))/x)/x)/x))/(x*x**(-7/6)))**(7/8))**(-2/3) assuming x is positive.\n' | b'x**(-553/72)\n' | b'Simplify (((x/((x*((x*x/((x/x**(-12))/x))/x)/x)/x))/(x*x**(-7/6)))**(7/8))**(-2/3) assuming x is positive.\n' | b'x**(-553/72)\n' | deepmind/math_dataset |
b'Let c be (-3 + 1 + -2)*-1. Find the third derivative of 0*i**c + 2*i**4 + i**2 + 3*i**4 - 6*i**4 wrt i.\n' | b'-24*i\n' | b'Let c be (-3 + 1 + -2)*-1. Find the third derivative of 0*i**c + 2*i**4 + i**2 + 3*i**4 - 6*i**4 wrt i.\n' | b'-24*i\n' | deepmind/math_dataset |
b'Simplify q**1/q*q**(-2/29)*q*q/(q/((((q/(q*q/(q/q**(-1/5))))/q)/q)/q)*q)*q*q**(3/8) assuming q is positive.\n' | b'q**(-1733/1160)\n' | b'Simplify q**1/q*q**(-2/29)*q*q/(q/((((q/(q*q/(q/q**(-1/5))))/q)/q)/q)*q)*q*q**(3/8) assuming q is positive.\n' | b'q**(-1733/1160)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 w when three letters picked without replacement from ooowoow.\n' | b'1/7\n' | b'Calculate prob of picking 1 o and 2 w when three letters picked without replacement from ooowoow.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let o(g) = g**3 + 5*g**2 - 6*g - 3. Let s(u) = u**2 - 13*u + 36. Let z = -90 + 97. Let y be s(z). What is o(y)?\n' | b'-3\n' | b'Let o(g) = g**3 + 5*g**2 - 6*g - 3. Let s(u) = u**2 - 13*u + 36. Let z = -90 + 97. Let y be s(z). What is o(y)?\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = 5*m + 3 - 13. Let t(z) = -1 + 1 - 2*z + 3. Give t(m).\n' | b'-1\n' | b'Suppose 0 = 5*m + 3 - 13. Let t(z) = -1 + 1 - 2*z + 3. Give t(m).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*g + 8 = -8. Solve 4*t - 14 = -2*c, -5*c - 13 + g = -t for t.\n' | b'4\n' | b'Suppose -4*g + 8 = -8. Solve 4*t - 14 = -2*c, -5*c - 13 + g = -t for t.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((k**2/k)/k**(5/6))**(-26/7))**38 assuming k is positive.\n' | b'k**(-494/21)\n' | b'Simplify (((k**2/k)/k**(5/6))**(-26/7))**38 assuming k is positive.\n' | b'k**(-494/21)\n' | deepmind/math_dataset |
b'What is prob of sequence ymqd when four letters picked without replacement from ybmbdjqy?\n' | b'1/840\n' | b'What is prob of sequence ymqd when four letters picked without replacement from ybmbdjqy?\n' | b'1/840\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 2 s when four letters picked without replacement from ppsspssssp.\n' | b'3/7\n' | b'Calculate prob of picking 2 p and 2 s when four letters picked without replacement from ppsspssssp.\n' | b'3/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 3, l: 5}. Give prob of sequence oll.\n' | b'5/28\n' | b'Three letters picked without replacement from {o: 3, l: 5}. Give prob of sequence oll.\n' | b'5/28\n' | deepmind/math_dataset |
b'Let h(g) be the second derivative of -g**4/12 - 10*g**3/3 - 45*g**2 - 180*g. Give h(-13).\n' | b'1\n' | b'Let h(g) be the second derivative of -g**4/12 - 10*g**3/3 - 45*g**2 - 180*g. Give h(-13).\n' | b'1\n' | deepmind/math_dataset |
b'Let x(c) = 59 - 8*c - 182 + 26 + 53 + 51. Suppose -4*z = -7*z + 2*g + 16, 3*z = g + 17. Calculate x(z).\n' | b'-41\n' | b'Let x(c) = 59 - 8*c - 182 + 26 + 53 + 51. Suppose -4*z = -7*z + 2*g + 16, 3*z = g + 17. Calculate x(z).\n' | b'-41\n' | deepmind/math_dataset |
b'Let c(a) be the third derivative of a**5/60 + a**4/24 + 7*a**2. Let x(d) = 20*d**2 + 6*d + 7. Let r(o) = 6*c(o) - x(o). Differentiate r(h) with respect to h.\n' | b'-28*h\n' | b'Let c(a) be the third derivative of a**5/60 + a**4/24 + 7*a**2. Let x(d) = 20*d**2 + 6*d + 7. Let r(o) = 6*c(o) - x(o). Differentiate r(h) with respect to h.\n' | b'-28*h\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hththhh. Give prob of sequence th.\n' | b'5/21\n' | b'Two letters picked without replacement from hththhh. Give prob of sequence th.\n' | b'5/21\n' | deepmind/math_dataset |
b'Simplify (v/(v**(-7)*v)*(v/((((v**(-4/7)/v)/v)/v)/v*v*v))/v*v**(-1/2)/(v/(v*v**5*v)))**(-2/5) assuming v is positive.\n' | b'v**(-211/35)\n' | b'Simplify (v/(v**(-7)*v)*(v/((((v**(-4/7)/v)/v)/v)/v*v*v))/v*v**(-1/2)/(v/(v*v**5*v)))**(-2/5) assuming v is positive.\n' | b'v**(-211/35)\n' | deepmind/math_dataset |
b'Let r = 10782 + -10780. Solve -2*g = 4*b - 2, -b + r = g - 1 for g.\n' | b'5\n' | b'Let r = 10782 + -10780. Solve -2*g = 4*b - 2, -b + r = g - 1 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xjzcn. Give prob of picking 1 x and 1 n.\n' | b'1/10\n' | b'Two letters picked without replacement from xjzcn. Give prob of picking 1 x and 1 n.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let f be 4/3 + 56/21. Suppose 0 = 3*a + 2 + f. Let u = 1 - a. Solve -u*z = 0, -5*q + 2 + 18 = 3*z for q.\n' | b'4\n' | b'Let f be 4/3 + 56/21. Suppose 0 = 3*a + 2 + f. Let u = 1 - a. Solve -u*z = 0, -5*q + 2 + 18 = 3*z for q.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((d*d*d/((((d*d**(-9)/d)/d)/d)/d*d)*d)/d**(-15))/(d**(-11)/d**(1/3)))**23 assuming d is positive.\n' | b'd**(2852/3)\n' | b'Simplify (((d*d*d/((((d*d**(-9)/d)/d)/d)/d*d)*d)/d**(-15))/(d**(-11)/d**(1/3)))**23 assuming d is positive.\n' | b'd**(2852/3)\n' | deepmind/math_dataset |
b'Calculate prob of sequence uaba when four letters picked without replacement from {g: 1, a: 5, t: 3, u: 1, f: 1, b: 2}.\n' | b'1/429\n' | b'Calculate prob of sequence uaba when four letters picked without replacement from {g: 1, a: 5, t: 3, u: 1, f: 1, b: 2}.\n' | b'1/429\n' | deepmind/math_dataset |
b'Let p be 7 - -3*(-1)/1. Solve z = -p*m + m - 14, 5*z - 2*m - 15 = 0 for z.\n' | b'1\n' | b'Let p be 7 - -3*(-1)/1. Solve z = -p*m + m - 14, 5*z - 2*m - 15 = 0 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -83*w - 60 = -103*w. Solve -7*k + w*k - 4*s = 0, -5*k + 9 = 2*s for k.\n' | b'3\n' | b'Suppose -83*w - 60 = -103*w. Solve -7*k + w*k - 4*s = 0, -5*k + 9 = 2*s for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let p(r) = r + 6. Let q = 12 + -8. Suppose q*i + b = -b + 32, -i = -b - 2. Give p(i).\n' | b'12\n' | b'Let p(r) = r + 6. Let q = 12 + -8. Suppose q*i + b = -b + 32, -i = -b - 2. Give p(i).\n' | b'12\n' | deepmind/math_dataset |
b'Let x = -11 + 1. Let s = -10 - x. Suppose -l + 0*l + 13 = s. Solve -o + 4*q - 1 = -18, 0 = 5*o + 4*q - l for o.\n' | b'5\n' | b'Let x = -11 + 1. Let s = -10 - x. Suppose -l + 0*l + 13 = s. Solve -o + 4*q - 1 = -18, 0 = 5*o + 4*q - l for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(s) = 31*s**2 + 10*s + 2. Let f(o) = 92*o**2 + 31*o + 7. Let q(v) = -2*f(v) + 7*w(v). What is the second derivative of q(n) wrt n?\n' | b'66\n' | b'Let w(s) = 31*s**2 + 10*s + 2. Let f(o) = 92*o**2 + 31*o + 7. Let q(v) = -2*f(v) + 7*w(v). What is the second derivative of q(n) wrt n?\n' | b'66\n' | deepmind/math_dataset |
b'Suppose 0 = -2*d - d + 9. Suppose 12 + 9 = -d*m. Let s(j) be the second derivative of j**4/12 + 7*j**3/6 + 2*j**2 - 31*j. Give s(m).\n' | b'4\n' | b'Suppose 0 = -2*d - d + 9. Suppose 12 + 9 = -d*m. Let s(j) be the second derivative of j**4/12 + 7*j**3/6 + 2*j**2 - 31*j. Give s(m).\n' | b'4\n' | deepmind/math_dataset |
b'Let a(i) = -2*i**2 + 9*i - 1. Let b be a(5). Let c(h) = -h**3 - 6*h**2 + 3*h + 3. What is c(b)?\n' | b'-15\n' | b'Let a(i) = -2*i**2 + 9*i - 1. Let b be a(5). Let c(h) = -h**3 - 6*h**2 + 3*h + 3. What is c(b)?\n' | b'-15\n' | deepmind/math_dataset |
b'What is prob of sequence jjj when three letters picked without replacement from {j: 10}?\n' | b'1\n' | b'What is prob of sequence jjj when three letters picked without replacement from {j: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence dds when three letters picked without replacement from {d: 10, y: 2, e: 3, w: 2, s: 3}?\n' | b'3/76\n' | b'What is prob of sequence dds when three letters picked without replacement from {d: 10, y: 2, e: 3, w: 2, s: 3}?\n' | b'3/76\n' | deepmind/math_dataset |
b'Let q = -4 - 0. Let s(z) = z**3 + 5*z**2 + 6*z + 3. What is s(q)?\n' | b'-5\n' | b'Let q = -4 - 0. Let s(z) = z**3 + 5*z**2 + 6*z + 3. What is s(q)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(d) = d - 7. Let w = -42 - -36. Determine l(w).\n' | b'-13\n' | b'Let l(d) = d - 7. Let w = -42 - -36. Determine l(w).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (t**(-1/4))**(-7/3)/(t**(3/10)*((t*t**(-2/17)*t)/t)/t*t) assuming t is positive.\n' | b't**(-611/1020)\n' | b'Simplify (t**(-1/4))**(-7/3)/(t**(3/10)*((t*t**(-2/17)*t)/t)/t*t) assuming t is positive.\n' | b't**(-611/1020)\n' | deepmind/math_dataset |
b'Let b(z) be the third derivative of -z**5/60 - 7*z**4/24 - z**3 - 5*z**2. Let k be b(-8). Let t = -14 - k. Solve -2*c - h = -t*c - 9, -2*c = 3*h - 19 for c.\n' | b'2\n' | b'Let b(z) be the third derivative of -z**5/60 - 7*z**4/24 - z**3 - 5*z**2. Let k be b(-8). Let t = -14 - k. Solve -2*c - h = -t*c - 9, -2*c = 3*h - 19 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let x(y) = y**3 + 81*y - 81*y + 5 + 9*y**2. Let i be x(-9). Suppose a = -i*o + 12, 10 = 2*a + 2*o + o. Solve 1 = u, 4*u - 3*u + 9 = -a*c for c.\n' | b'-5\n' | b'Let x(y) = y**3 + 81*y - 81*y + 5 + 9*y**2. Let i be x(-9). Suppose a = -i*o + 12, 10 = 2*a + 2*o + o. Solve 1 = u, 4*u - 3*u + 9 = -a*c for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gmmmmmmmmbvmb. Give prob of sequence bg.\n' | b'1/78\n' | b'Two letters picked without replacement from gmmmmmmmmbvmb. Give prob of sequence bg.\n' | b'1/78\n' | deepmind/math_dataset |
b'Let j(m) = m**3 + 7*m**2 - 66*m - 364. Let q be j(-10). Let h(t) = -9*t - 33. What is h(q)?\n' | b'3\n' | b'Let j(m) = m**3 + 7*m**2 - 66*m - 364. Let q be j(-10). Let h(t) = -9*t - 33. What is h(q)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -46*h = -37*h. Solve -5*v = -l - 16, h = 4*v + 2*l + l - 9 for v.\n' | b'3\n' | b'Suppose -46*h = -37*h. Solve -5*v = -l - 16, h = 4*v + 2*l + l - 9 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let f(k) = 1932*k**2 + 4186*k + 104. Let z(n) = -1930*n**2 - 4187*n - 78. Let x(q) = -3*f(q) - 4*z(q). Find the second derivative of x(p) wrt p.\n' | b'3848\n' | b'Let f(k) = 1932*k**2 + 4186*k + 104. Let z(n) = -1930*n**2 - 4187*n - 78. Let x(q) = -3*f(q) - 4*z(q). Find the second derivative of x(p) wrt p.\n' | b'3848\n' | deepmind/math_dataset |
b'What is prob of sequence iin when three letters picked without replacement from {o: 4, u: 4, i: 2, n: 2}?\n' | b'1/330\n' | b'What is prob of sequence iin when three letters picked without replacement from {o: 4, u: 4, i: 2, n: 2}?\n' | b'1/330\n' | deepmind/math_dataset |
b'Let r(t) = -2*t**3 + 2*t**2 + 2*t. Let n be r(-2). Suppose 0 = -5*s + n - 0. Let k be ((-3)/2)/((-2)/s). Let l(o) = o**3 - 2*o**2 - 2*o + 2. Determine l(k).\n' | b'5\n' | b'Let r(t) = -2*t**3 + 2*t**2 + 2*t. Let n be r(-2). Suppose 0 = -5*s + n - 0. Let k be ((-3)/2)/((-2)/s). Let l(o) = o**3 - 2*o**2 - 2*o + 2. Determine l(k).\n' | b'5\n' | deepmind/math_dataset |
b'Let s(o) = -o**3 + 9*o**2 + 11*o + 12. Let k be s(10). Let j = -8 + 14. Suppose 4*l = j + k. Solve 2*f = -f + 5*v - 7, -3*f - 2*v = -l for f.\n' | b'1\n' | b'Let s(o) = -o**3 + 9*o**2 + 11*o + 12. Let k be s(10). Let j = -8 + 14. Suppose 4*l = j + k. Solve 2*f = -f + 5*v - 7, -3*f - 2*v = -l for f.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddud when four letters picked without replacement from uuuuuuududuuudduuuu.\n' | b'5/1292\n' | b'Calculate prob of sequence ddud when four letters picked without replacement from uuuuuuududuuudduuuu.\n' | b'5/1292\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, x: 1, f: 1, i: 1}. What is prob of sequence ix?\n' | b'1/20\n' | b'Two letters picked without replacement from {j: 2, x: 1, f: 1, i: 1}. What is prob of sequence ix?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 2 m when three letters picked without replacement from pppdmmpmppmmppmmpmp?\n' | b'280/969\n' | b'What is prob of picking 1 p and 2 m when three letters picked without replacement from pppdmmpmppmmppmmpmp?\n' | b'280/969\n' | deepmind/math_dataset |
b'Let f(r) be the first derivative of r**5/60 - 7*r**4/24 + 5*r**3/6 - 9*r**2 - 2. Let y(v) be the second derivative of f(v). Determine y(6).\n' | b'-1\n' | b'Let f(r) be the first derivative of r**5/60 - 7*r**4/24 + 5*r**3/6 - 9*r**2 - 2. Let y(v) be the second derivative of f(v). Determine y(6).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (f**(-6/19)*f)/f*f/f**14 assuming f is positive.\n' | b'f**(-253/19)\n' | b'Simplify (f**(-6/19)*f)/f*f/f**14 assuming f is positive.\n' | b'f**(-253/19)\n' | deepmind/math_dataset |
b'Suppose 2*b - 4 + 0 = 0. Let x(o) = 2*o**2 + 4*o + 0*o + 3*o**b - 3*o**2. Give x(-3).\n' | b'6\n' | b'Suppose 2*b - 4 + 0 = 0. Let x(o) = 2*o**2 + 4*o + 0*o + 3*o**b - 3*o**2. Give x(-3).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (r**(-1))**(5/7)*r**(-2/9)/r*r**(-7/5)*r assuming r is positive.\n' | b'r**(-736/315)\n' | b'Simplify (r**(-1))**(5/7)*r**(-2/9)/r*r**(-7/5)*r assuming r is positive.\n' | b'r**(-736/315)\n' | deepmind/math_dataset |
b'Simplify t**(1/41)/t*t*t*t**29/t assuming t is positive.\n' | b't**(1190/41)\n' | b'Simplify t**(1/41)/t*t*t*t**29/t assuming t is positive.\n' | b't**(1190/41)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iirrriiiriirr. Give prob of picking 1 i and 2 r.\n' | b'105/286\n' | b'Three letters picked without replacement from iirrriiiriirr. Give prob of picking 1 i and 2 r.\n' | b'105/286\n' | deepmind/math_dataset |
b'Simplify (((t/((t/((t**(6/7)*t)/t))/t))**28)**24)**(-1/21) assuming t is positive.\n' | b't**(-416/7)\n' | b'Simplify (((t/((t/((t**(6/7)*t)/t))/t))**28)**24)**(-1/21) assuming t is positive.\n' | b't**(-416/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence avar when four letters picked without replacement from arvarrrrrvrrrrrarrrr.\n' | b'1/646\n' | b'Calculate prob of sequence avar when four letters picked without replacement from arvarrrrrvrrrrrarrrr.\n' | b'1/646\n' | deepmind/math_dataset |
b'Let k(v) = -9*v + 1. Suppose -7*c = 435 - 484. Determine k(c).\n' | b'-62\n' | b'Let k(v) = -9*v + 1. Suppose -7*c = 435 - 484. Determine k(c).\n' | b'-62\n' | deepmind/math_dataset |
b'Differentiate -499*a**2 + 14*a + 502*a**2 - 390 + 29 with respect to a.\n' | b'6*a + 14\n' | b'Differentiate -499*a**2 + 14*a + 502*a**2 - 390 + 29 with respect to a.\n' | b'6*a + 14\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 f and 1 e when four letters picked without replacement from {f: 1, e: 2, h: 1, d: 6, x: 2, u: 5}.\n' | b'0\n' | b'Calculate prob of picking 3 f and 1 e when four letters picked without replacement from {f: 1, e: 2, h: 1, d: 6, x: 2, u: 5}.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ggngcgegggqwcn. What is prob of sequence gcw?\n' | b'1/156\n' | b'Three letters picked without replacement from ggngcgegggqwcn. What is prob of sequence gcw?\n' | b'1/156\n' | deepmind/math_dataset |
b'Suppose 0 = -67*a - 58 + 192. Solve -a*w - 5*v - 15 = 0, 5*v - 2 = 2*w + 3 for w.\n' | b'-5\n' | b'Suppose 0 = -67*a - 58 + 192. Solve -a*w - 5*v - 15 = 0, 5*v - 2 = 2*w + 3 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 2 o and 1 y when three letters picked without replacement from {m: 2, a: 1, o: 2, y: 1}?\n' | b'1/20\n' | b'What is prob of picking 2 o and 1 y when three letters picked without replacement from {m: 2, a: 1, o: 2, y: 1}?\n' | b'1/20\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.