question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Suppose -72*i - 140 = -76*i. Let f be (1/(-3))/(i/(-210)). Solve -4*o = u, 0*u - f*u = o for u.\n' | b'0\n' | b'Suppose -72*i - 140 = -76*i. Let f be (1/(-3))/(i/(-210)). Solve -4*o = u, 0*u - f*u = o for u.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((j**30*j**(-10))/(j/(j*j**(-9/5)))**(-21))**(-44) assuming j is positive.\n' | b'j**(-12716/5)\n' | b'Simplify ((j**30*j**(-10))/(j/(j*j**(-9/5)))**(-21))**(-44) assuming j is positive.\n' | b'j**(-12716/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lllllllyllyllyllll. Give prob of sequence yyl.\n' | b'5/272\n' | b'Three letters picked without replacement from lllllllyllyllyllll. Give prob of sequence yyl.\n' | b'5/272\n' | deepmind/math_dataset |
b'Suppose -11 = -5*i + 4, l + i = 12. Let q = -7 + l. Differentiate 4 - j + 2*j**q + 5*j - 4*j with respect to j.\n' | b'4*j\n' | b'Suppose -11 = -5*i + 4, l + i = 12. Let q = -7 + l. Differentiate 4 - j + 2*j**q + 5*j - 4*j with respect to j.\n' | b'4*j\n' | deepmind/math_dataset |
b'Calculate prob of sequence rmd when three letters picked without replacement from myjjmyymyrdjjy.\n' | b'1/728\n' | b'Calculate prob of sequence rmd when three letters picked without replacement from myjjmyymyrdjjy.\n' | b'1/728\n' | deepmind/math_dataset |
b'Let n be 6*((-10)/(-6) + -1). Suppose w + 0 = 2. Let q(l) = l - 9*l + l**w + 4*l - 3. What is q(n)?\n' | b'-3\n' | b'Let n be 6*((-10)/(-6) + -1). Suppose w + 0 = 2. Let q(l) = l - 9*l + l**w + 4*l - 3. What is q(n)?\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 18, p: 2}. What is prob of sequence puu?\n' | b'17/190\n' | b'Three letters picked without replacement from {u: 18, p: 2}. What is prob of sequence puu?\n' | b'17/190\n' | deepmind/math_dataset |
b'What is prob of sequence jbjv when four letters picked without replacement from {j: 2, b: 2, v: 2}?\n' | b'1/45\n' | b'What is prob of sequence jbjv when four letters picked without replacement from {j: 2, b: 2, v: 2}?\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify ((s**(2/7))**49)**(-1/27) assuming s is positive.\n' | b's**(-14/27)\n' | b'Simplify ((s**(2/7))**49)**(-1/27) assuming s is positive.\n' | b's**(-14/27)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffoffwhhwwwfwhww. What is prob of sequence fof?\n' | b'1/168\n' | b'Three letters picked without replacement from ffoffwhhwwwfwhww. What is prob of sequence fof?\n' | b'1/168\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 8, v: 7, x: 1, z: 2}. What is prob of sequence szzs?\n' | b'7/4590\n' | b'Four letters picked without replacement from {s: 8, v: 7, x: 1, z: 2}. What is prob of sequence szzs?\n' | b'7/4590\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 1, j: 5, v: 2, s: 6, n: 1, r: 1}. What is prob of sequence ssvr?\n' | b'1/728\n' | b'Four letters picked without replacement from {u: 1, j: 5, v: 2, s: 6, n: 1, r: 1}. What is prob of sequence ssvr?\n' | b'1/728\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, u: 4, c: 2, t: 2, g: 2}. What is prob of picking 1 s, 1 u, and 1 g?\n' | b'4/55\n' | b'Three letters picked without replacement from {s: 2, u: 4, c: 2, t: 2, g: 2}. What is prob of picking 1 s, 1 u, and 1 g?\n' | b'4/55\n' | deepmind/math_dataset |
b'Let i(j) = j**3 + 4*j**2 - 5*j - 6. Let p be i(-5). Let b be 3/(-2) - 27/p. Solve 3*n - b*s - 9 = 6*n, 4*n + 12 = -s for n.\n' | b'-3\n' | b'Let i(j) = j**3 + 4*j**2 - 5*j - 6. Let p be i(-5). Let b be 3/(-2) - 27/p. Solve 3*n - b*s - 9 = 6*n, 4*n + 12 = -s for n.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence cpp when three letters picked without replacement from {c: 2, g: 5, p: 9}?\n' | b'3/70\n' | b'What is prob of sequence cpp when three letters picked without replacement from {c: 2, g: 5, p: 9}?\n' | b'3/70\n' | deepmind/math_dataset |
b'Suppose -3*a = -7 - 8. Let n(k) = -4*k**2 - 16*k - 3. Let f(p) = 3*p**2 + 14*p + 2. Let o(d) = -5*f(d) - 4*n(d). Calculate o(a).\n' | b'-3\n' | b'Suppose -3*a = -7 - 8. Let n(k) = -4*k**2 - 16*k - 3. Let f(p) = 3*p**2 + 14*p + 2. Let o(d) = -5*f(d) - 4*n(d). Calculate o(a).\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(k) = k**2 - 11*k - 15. Let i be y(12). Let z be 2*(-13 - -11 - (i + -1)). Solve z*v = -5*g + 3*v - 5, 15 = -g - 3*v for g.\n' | b'0\n' | b'Let y(k) = k**2 - 11*k - 15. Let i be y(12). Let z be 2*(-13 - -11 - (i + -1)). Solve z*v = -5*g + 3*v - 5, 15 = -g - 3*v for g.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(j) = -3*j**3 + 29*j**2 - 1529*j + 4. Let i(o) = -2*o**3 + o**2 + 2. Let q(d) = -2*i(d) + s(d). Find the second derivative of q(m) wrt m.\n' | b'6*m + 54\n' | b'Let s(j) = -3*j**3 + 29*j**2 - 1529*j + 4. Let i(o) = -2*o**3 + o**2 + 2. Let q(d) = -2*i(d) + s(d). Find the second derivative of q(m) wrt m.\n' | b'6*m + 54\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from allalallaaaalallla.\n' | b'4/17\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from allalallaaaalallla.\n' | b'4/17\n' | deepmind/math_dataset |
b'Calculate prob of sequence wwpw when four letters picked without replacement from pwpwwwwwpwwpwwwwpww.\n' | b'455/3876\n' | b'Calculate prob of sequence wwpw when four letters picked without replacement from pwpwwwwwpwwpwwwwpww.\n' | b'455/3876\n' | deepmind/math_dataset |
b'Let n(j) be the first derivative of -j**6 + 2*j**3 + 2. Find the third derivative of n(t) wrt t.\n' | b'-360*t**2\n' | b'Let n(j) be the first derivative of -j**6 + 2*j**3 + 2. Find the third derivative of n(t) wrt t.\n' | b'-360*t**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 7, y: 3, r: 1, o: 5}. What is prob of picking 2 a?\n' | b'7/40\n' | b'Two letters picked without replacement from {a: 7, y: 3, r: 1, o: 5}. What is prob of picking 2 a?\n' | b'7/40\n' | deepmind/math_dataset |
b'Simplify ((l**(-1/4)/l*l)**16)**(22/3) assuming l is positive.\n' | b'l**(-88/3)\n' | b'Simplify ((l**(-1/4)/l*l)**16)**(22/3) assuming l is positive.\n' | b'l**(-88/3)\n' | deepmind/math_dataset |
b'Suppose 0 = 2*m + i, -i + 14 = 5*m - 2*i. Solve -5*s - m*l = -25, 0*l = -2*s - 4*l + 26 for s.\n' | b'3\n' | b'Suppose 0 = 2*m + i, -i + 14 = 5*m - 2*i. Solve -5*s - m*l = -25, 0*l = -2*s - 4*l + 26 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let c be (135/40)/(-9) + (-1)/((-32)/748). Let i(y) be the third derivative of -1/15*y**5 - 5/24*y**4 + 1/120*y**6 + 0*y**3 + 0*y + 0 + c*y**2. What is i(5)?\n' | b'0\n' | b'Let c be (135/40)/(-9) + (-1)/((-32)/748). Let i(y) be the third derivative of -1/15*y**5 - 5/24*y**4 + 1/120*y**6 + 0*y**3 + 0*y + 0 + c*y**2. What is i(5)?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 c when four letters picked without replacement from cooococcooccoccc.\n' | b'9/130\n' | b'Calculate prob of picking 4 c when four letters picked without replacement from cooococcooccoccc.\n' | b'9/130\n' | deepmind/math_dataset |
b'Let u(k) = -2*k + 9. Let c(z) = 2*z - 9. Let b(p) = -3*c(p) - 2*u(p). Let t be b(6). Let q = t + 6. Let x(r) = -r**3 + 2*r**2 + r - 3. Determine x(q).\n' | b'-9\n' | b'Let u(k) = -2*k + 9. Let c(z) = 2*z - 9. Let b(p) = -3*c(p) - 2*u(p). Let t be b(6). Let q = t + 6. Let x(r) = -r**3 + 2*r**2 + r - 3. Determine x(q).\n' | b'-9\n' | deepmind/math_dataset |
b'Let p be -8 + 6/3 - -10. Solve -p*g + 5 = -k - 2, 0 = 4*k - 20 for g.\n' | b'3\n' | b'Let p be -8 + 6/3 - -10. Solve -p*g + 5 = -k - 2, 0 = 4*k - 20 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence wccc when four letters picked without replacement from wcwcccccccccwcwwwcw.\n' | b'385/3876\n' | b'Calculate prob of sequence wccc when four letters picked without replacement from wcwcccccccccwcwwwcw.\n' | b'385/3876\n' | deepmind/math_dataset |
b'Three letters picked without replacement from papppppcacaa. Give prob of sequence cpp.\n' | b'1/22\n' | b'Three letters picked without replacement from papppppcacaa. Give prob of sequence cpp.\n' | b'1/22\n' | deepmind/math_dataset |
b'What is prob of sequence povl when four letters picked without replacement from {n: 1, v: 1, p: 1, l: 1, o: 1}?\n' | b'1/120\n' | b'What is prob of sequence povl when four letters picked without replacement from {n: 1, v: 1, p: 1, l: 1, o: 1}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let t(b) = b**3 + b**2 + b. Suppose 4*z + 0*i - 2*i - 14 = 0, -i = -4*z + 15. Suppose 0 = 4*o + z + 4. What is t(o)?\n' | b'-6\n' | b'Let t(b) = b**3 + b**2 + b. Suppose 4*z + 0*i - 2*i - 14 = 0, -i = -4*z + 15. Suppose 0 = 4*o + z + 4. What is t(o)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let i be (-6)/(-45) + 2668/690. Suppose 2*h - 36 = -h. Let w = h + -5. Solve s = -4*x - 2*s + w, -20 = -i*s for x.\n' | b'-2\n' | b'Let i be (-6)/(-45) + 2668/690. Suppose 2*h - 36 = -h. Let w = h + -5. Solve s = -4*x - 2*s + w, -20 = -i*s for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence vz when two letters picked without replacement from dvovzvondddoznnzn.\n' | b'9/272\n' | b'Calculate prob of sequence vz when two letters picked without replacement from dvovzvondddoznnzn.\n' | b'9/272\n' | deepmind/math_dataset |
b'Let l(t) = -t**2 - 4*t + 2. Let v be l(-4). Suppose 30 = 3*a + 2*a. Solve -14 = 2*k - 4*s, -v*k - 3*s + a = k for k.\n' | b'-1\n' | b'Let l(t) = -t**2 - 4*t + 2. Let v be l(-4). Suppose 30 = 3*a + 2*a. Solve -14 = 2*k - 4*s, -v*k - 3*s + a = k for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence oo when two letters picked without replacement from {m: 1, o: 18, f: 1}.\n' | b'153/190\n' | b'Calculate prob of sequence oo when two letters picked without replacement from {m: 1, o: 18, f: 1}.\n' | b'153/190\n' | deepmind/math_dataset |
b'Let o = -289 - -297. Solve -4*c + o = 5*x, -5*c + 5 = 5*x - 0 for x.\n' | b'4\n' | b'Let o = -289 - -297. Solve -4*c + o = 5*x, -5*c + 5 = 5*x - 0 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hccllhlcceehccc. Give prob of sequence ehh.\n' | b'2/455\n' | b'Three letters picked without replacement from hccllhlcceehccc. Give prob of sequence ehh.\n' | b'2/455\n' | deepmind/math_dataset |
b'Let m(x) be the third derivative of 71*x**4/6 + 61*x**3/3 - 192*x**2. What is the derivative of m(u) wrt u?\n' | b'284\n' | b'Let m(x) be the third derivative of 71*x**4/6 + 61*x**3/3 - 192*x**2. What is the derivative of m(u) wrt u?\n' | b'284\n' | deepmind/math_dataset |
b'Suppose -10*p + 0*p = -20. Let m(c) be the first derivative of c**2 + p*c - 1/3*c**3 - 4. Give m(3).\n' | b'-1\n' | b'Suppose -10*p + 0*p = -20. Let m(c) be the first derivative of c**2 + p*c - 1/3*c**3 - 4. Give m(3).\n' | b'-1\n' | deepmind/math_dataset |
b'Let x = 24 - 34. Let c be (-120)/(-9)*(-24)/x. Let t be 3/(-1) + c/8. Solve -a = 4*r + 5 + 2, -2*a - t = -5*r for a.\n' | b'-3\n' | b'Let x = 24 - 34. Let c be (-120)/(-9)*(-24)/x. Let t be 3/(-1) + c/8. Solve -a = 4*r + 5 + 2, -2*a - t = -5*r for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 0 = 3*s + 3*l - 45 - 0, -3*l + 34 = 2*s. Suppose 5*c - 22 = o, 2*c - 5 - s = -2*o. Solve -22 = 2*w - c*j - 9, -3*w = -3*j + 15 for w.\n' | b'-4\n' | b'Suppose 0 = 3*s + 3*l - 45 - 0, -3*l + 34 = 2*s. Suppose 5*c - 22 = o, 2*c - 5 - s = -2*o. Solve -22 = 2*w - c*j - 9, -3*w = -3*j + 15 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from {o: 13, k: 5}?\n' | b'1/612\n' | b'What is prob of picking 4 k when four letters picked without replacement from {o: 13, k: 5}?\n' | b'1/612\n' | deepmind/math_dataset |
b'What is prob of sequence ii when two letters picked without replacement from {i: 8, v: 2}?\n' | b'28/45\n' | b'What is prob of sequence ii when two letters picked without replacement from {i: 8, v: 2}?\n' | b'28/45\n' | deepmind/math_dataset |
b'What is prob of sequence vvfv when four letters picked without replacement from {v: 6, f: 2}?\n' | b'1/7\n' | b'What is prob of sequence vvfv when four letters picked without replacement from {v: 6, f: 2}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose -3*y + 15 = 3. Let z(m) = -3*m + 1 - 2*m**2 + 3 - y. Suppose 0 = -4*o + 2 - 10. Determine z(o).\n' | b'-2\n' | b'Suppose -3*y + 15 = 3. Let z(m) = -3*m + 1 - 2*m**2 + 3 - y. Suppose 0 = -4*o + 2 - 10. Determine z(o).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (o/o**(2/7))**(-14)*(o*(o**1/o)/o)**(17/7) assuming o is positive.\n' | b'o**(-10)\n' | b'Simplify (o/o**(2/7))**(-14)*(o*(o**1/o)/o)**(17/7) assuming o is positive.\n' | b'o**(-10)\n' | deepmind/math_dataset |
b'Let i(h) be the second derivative of 0 + 1/15*h**6 + 0*h**3 + 8*h + 0*h**2 - 5/12*h**4 + 0*h**5. Find the third derivative of i(y) wrt y.\n' | b'48*y\n' | b'Let i(h) be the second derivative of 0 + 1/15*h**6 + 0*h**3 + 8*h + 0*h**2 - 5/12*h**4 + 0*h**5. Find the third derivative of i(y) wrt y.\n' | b'48*y\n' | deepmind/math_dataset |
b'Let k be 0 - -1 - (-14 + 1). Let v(f) = 5*f**3 + f**2 + f. Let y be v(2). Let d = y + -41. Solve k = 2*h - 5*n, -2*n = -d*n - 6 for h.\n' | b'2\n' | b'Let k be 0 - -1 - (-14 + 1). Let v(f) = 5*f**3 + f**2 + f. Let y be v(2). Let d = y + -41. Solve k = 2*h - 5*n, -2*n = -d*n - 6 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {n: 3, j: 6, y: 2, t: 1, q: 4}.\n' | b'3/280\n' | b'Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {n: 3, j: 6, y: 2, t: 1, q: 4}.\n' | b'3/280\n' | deepmind/math_dataset |
b'Let j(y) = 6*y - 7 - 6 - 7 + 18. Calculate j(-3).\n' | b'-20\n' | b'Let j(y) = 6*y - 7 - 6 - 7 + 18. Calculate j(-3).\n' | b'-20\n' | deepmind/math_dataset |
b'Let t be (2/2)/(-1) + 6. Let u = 107 - 87. Let p be (2/1)/(2/3). Solve 5*b = 5*k - u, k + t = -p*b - 3 for b.\n' | b'-3\n' | b'Let t be (2/2)/(-1) + 6. Let u = 107 - 87. Let p be (2/1)/(2/3). Solve 5*b = 5*k - u, k + t = -p*b - 3 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(g) = 1170*g**4 - 42*g**3 - 615*g. Let m(r) = -r**4 + 6*r**3 - 2*r. Let z(j) = -14*m(j) - 2*y(j). What is the second derivative of z(n) wrt n?\n' | b'-27912*n**2\n' | b'Let y(g) = 1170*g**4 - 42*g**3 - 615*g. Let m(r) = -r**4 + 6*r**3 - 2*r. Let z(j) = -14*m(j) - 2*y(j). What is the second derivative of z(n) wrt n?\n' | b'-27912*n**2\n' | deepmind/math_dataset |
b'Suppose 9*p - 215 = -188. Let l(g) be the second derivative of 3*g + 0*g**4 + 0*g**p - 1/30*g**6 + 0*g**5 + 0 + g**2. Differentiate l(c) with respect to c.\n' | b'-4*c**3\n' | b'Suppose 9*p - 215 = -188. Let l(g) be the second derivative of 3*g + 0*g**4 + 0*g**p - 1/30*g**6 + 0*g**5 + 0 + g**2. Differentiate l(c) with respect to c.\n' | b'-4*c**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rqmrcmqy. Give prob of sequence qmcy.\n' | b'1/420\n' | b'Four letters picked without replacement from rqmrcmqy. Give prob of sequence qmcy.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let d(a) = -a**2 - 9*a + 6. Let m = 5 + -12. Let p be d(m). Suppose -2*k + 16 + 2 = 3*r, -2*r = 4*k - p. Solve 5*l + n - k = -3*n, 1 = 5*l + 3*n for l.\n' | b'-1\n' | b'Let d(a) = -a**2 - 9*a + 6. Let m = 5 + -12. Let p be d(m). Suppose -2*k + 16 + 2 = 3*r, -2*r = 4*k - p. Solve 5*l + n - k = -3*n, 1 = 5*l + 3*n for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mjjjmmmjmjjm. What is prob of picking 3 m and 1 j?\n' | b'8/33\n' | b'Four letters picked without replacement from mjjjmmmjmjjm. What is prob of picking 3 m and 1 j?\n' | b'8/33\n' | deepmind/math_dataset |
b'Suppose 3*y - 11 - 27 = -2*w, 0 = 5*w - 5. Solve -5*v = -c + 17, 0 = 4*v + c + y - 2 for v.\n' | b'-3\n' | b'Suppose 3*y - 11 - 27 = -2*w, 0 = 5*w - 5. Solve -5*v = -c + 17, 0 = 4*v + c + y - 2 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(q) = -5*q + q**2 + 2*q + 3 - 3*q. Suppose 2*v - z - 4 = 0, -5*v - z - 4*z + 10 = 0. Suppose -4*x + 32 = 3*a, -3*x + 0*x + v*a + 7 = 0. Determine j(x).\n' | b'-2\n' | b'Let j(q) = -5*q + q**2 + 2*q + 3 - 3*q. Suppose 2*v - z - 4 = 0, -5*v - z - 4*z + 10 = 0. Suppose -4*x + 32 = 3*a, -3*x + 0*x + v*a + 7 = 0. Determine j(x).\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(i) be the second derivative of -1605*i**3 + 2617*i**2/2 - i - 473. What is the derivative of j(l) wrt l?\n' | b'-9630\n' | b'Let j(i) be the second derivative of -1605*i**3 + 2617*i**2/2 - i - 473. What is the derivative of j(l) wrt l?\n' | b'-9630\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from asaaaassaaa?\n' | b'3/55\n' | b'What is prob of picking 2 s when two letters picked without replacement from asaaaassaaa?\n' | b'3/55\n' | deepmind/math_dataset |
b'Simplify (c**1)**(-4/5)/(c*c*c/(c*c**5)*c**2) assuming c is positive.\n' | b'c**(1/5)\n' | b'Simplify (c**1)**(-4/5)/(c*c*c/(c*c**5)*c**2) assuming c is positive.\n' | b'c**(1/5)\n' | deepmind/math_dataset |
b'Let u(n) be the third derivative of -n**6/30 + n**5/20 - n**4/24 + 13*n**2. What is u(2)?\n' | b'-22\n' | b'Let u(n) be the third derivative of -n**6/30 + n**5/20 - n**4/24 + 13*n**2. What is u(2)?\n' | b'-22\n' | deepmind/math_dataset |
b'Let r(g) = g**2 - g - 1. Let z be 1/(-4 + (-17)/(-4)). Suppose -z*y + 4*u + u = -28, 4*y = -3*u - 4. Give r(y).\n' | b'1\n' | b'Let r(g) = g**2 - g - 1. Let z be 1/(-4 + (-17)/(-4)). Suppose -z*y + 4*u + u = -28, 4*y = -3*u - 4. Give r(y).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((n/n**(-3)*n)/n)/(n*(n*(n*(n*n*n*n*n**(-3/7)/n*n*n)/n)/n)/n))/(n*n*n**(-1/13)*n*n*n/n**(1/8)*n) assuming n is positive.\n' | b'n**(-4637/728)\n' | b'Simplify (((n/n**(-3)*n)/n)/(n*(n*(n*(n*n*n*n*n**(-3/7)/n*n*n)/n)/n)/n))/(n*n*n**(-1/13)*n*n*n/n**(1/8)*n) assuming n is positive.\n' | b'n**(-4637/728)\n' | deepmind/math_dataset |
b'Simplify (x**4/x**5)**(-3/7) assuming x is positive.\n' | b'x**(3/7)\n' | b'Simplify (x**4/x**5)**(-3/7) assuming x is positive.\n' | b'x**(3/7)\n' | deepmind/math_dataset |
b'Simplify (((u/u**0)/u)**(22/5))**(-1/18)*(u*(u**(-5)/u)/u*u/u**11)**(-2/27) assuming u is positive.\n' | b'u**(32/27)\n' | b'Simplify (((u/u**0)/u)**(22/5))**(-1/18)*(u*(u**(-5)/u)/u*u/u**11)**(-2/27) assuming u is positive.\n' | b'u**(32/27)\n' | deepmind/math_dataset |
b'Suppose 4*w - 4*i = 0, -w - i - 2*i = 0. Suppose w = t + t - 10. Let y be 1/(-5) - (-11)/t. Solve 2*m = -5*z - 2 - 3, 4*z + y*m = -2 for z.\n' | b'-3\n' | b'Suppose 4*w - 4*i = 0, -w - i - 2*i = 0. Suppose w = t + t - 10. Let y be 1/(-5) - (-11)/t. Solve 2*m = -5*z - 2 - 3, 4*z + y*m = -2 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence sp when two letters picked without replacement from {s: 1, p: 1, e: 1}?\n' | b'1/6\n' | b'What is prob of sequence sp when two letters picked without replacement from {s: 1, p: 1, e: 1}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let t be (40/25)/(2/5). Solve g + 14 = 5*j, -t*j = -g + 6*g + 12 for j.\n' | b'2\n' | b'Let t be (40/25)/(2/5). Solve g + 14 = 5*j, -t*j = -g + 6*g + 12 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Let b(s) = s**3 - 11*s**2 + 30*s - 9. Suppose 18 = 4*g + p, 12*g - 9*g + 3*p = 18. Calculate b(g).\n' | b'-1\n' | b'Let b(s) = s**3 - 11*s**2 + 30*s - 9. Suppose 18 = 4*g + p, 12*g - 9*g + 3*p = 18. Calculate b(g).\n' | b'-1\n' | deepmind/math_dataset |
b'Let r(m) = 2*m**4 - 26*m - 3. Let n(d) = 695*d**3 - 695*d**3 + d**4 + 1. Let u(j) = 3*n(j) + r(j). Find the second derivative of u(y) wrt y.\n' | b'60*y**2\n' | b'Let r(m) = 2*m**4 - 26*m - 3. Let n(d) = 695*d**3 - 695*d**3 + d**4 + 1. Let u(j) = 3*n(j) + r(j). Find the second derivative of u(y) wrt y.\n' | b'60*y**2\n' | deepmind/math_dataset |
b'Let h(k) = -k**2 + 7*k - 8. Let c be h(5). Let i(t) = -10*t + 4. Let p be i(c). Let y = -16 - p. Solve 3*r = -z - y*z + 5, 5*r - 2*z - 1 = 0 for r.\n' | b'1\n' | b'Let h(k) = -k**2 + 7*k - 8. Let c be h(5). Let i(t) = -10*t + 4. Let p be i(c). Let y = -16 - p. Solve 3*r = -z - y*z + 5, 5*r - 2*z - 1 = 0 for r.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 b, and 1 m when three letters picked without replacement from {b: 1, r: 1, x: 1, m: 1, g: 4, t: 5}?\n' | b'2/143\n' | b'What is prob of picking 1 g, 1 b, and 1 m when three letters picked without replacement from {b: 1, r: 1, x: 1, m: 1, g: 4, t: 5}?\n' | b'2/143\n' | deepmind/math_dataset |
b'Simplify ((x/(x/(x*x**1))*x**(-5/2))**1)**13 assuming x is positive.\n' | b'x**(-13/2)\n' | b'Simplify ((x/(x/(x*x**1))*x**(-5/2))**1)**13 assuming x is positive.\n' | b'x**(-13/2)\n' | deepmind/math_dataset |
b'Suppose -3*d + 2*d = -3. Let p be ((-1)/d)/(7/42). Let i(g) = 3*g + 3. Give i(p).\n' | b'-3\n' | b'Suppose -3*d + 2*d = -3. Let p be ((-1)/d)/(7/42). Let i(g) = 3*g + 3. Give i(p).\n' | b'-3\n' | deepmind/math_dataset |
b'Let s(k) = -6*k**2 - 678*k + 5. Let a be s(-113). Solve 0 = 2*b - 3*y + 25, 2*b + a*y = 25 - 10 for b.\n' | b'-5\n' | b'Let s(k) = -6*k**2 - 678*k + 5. Let a be s(-113). Solve 0 = 2*b - 3*y + 25, 2*b + a*y = 25 - 10 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(k) be the first derivative of k**6/40 - k**5/30 + k**2 - 3. Let u(t) be the second derivative of c(t). What is the third derivative of u(i) wrt i?\n' | b'18\n' | b'Let c(k) be the first derivative of k**6/40 - k**5/30 + k**2 - 3. Let u(t) be the second derivative of c(t). What is the third derivative of u(i) wrt i?\n' | b'18\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 2, h: 2, u: 1, c: 1, a: 1}. What is prob of sequence ghca?\n' | b'1/210\n' | b'Four letters picked without replacement from {g: 2, h: 2, u: 1, c: 1, a: 1}. What is prob of sequence ghca?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let p(k) = -1. Suppose -3*q + 2*q - 7 = 0. Let r = -10 - q. Let u(w) = 3*w. Let t(h) = r*p(h) + u(h). Find the first derivative of t(x) wrt x.\n' | b'3\n' | b'Let p(k) = -1. Suppose -3*q + 2*q - 7 = 0. Let r = -10 - q. Let u(w) = 3*w. Let t(h) = r*p(h) + u(h). Find the first derivative of t(x) wrt x.\n' | b'3\n' | deepmind/math_dataset |
b'Let j be 10/40*(1 - 1). Let f(x) be the second derivative of 1/20*x**5 + j*x**3 + 2*x**2 + 0*x**4 - 9*x + 0. Find the first derivative of f(r) wrt r.\n' | b'3*r**2\n' | b'Let j be 10/40*(1 - 1). Let f(x) be the second derivative of 1/20*x**5 + j*x**3 + 2*x**2 + 0*x**4 - 9*x + 0. Find the first derivative of f(r) wrt r.\n' | b'3*r**2\n' | deepmind/math_dataset |
b'Let r = 0 + 2. Find the second derivative of 4*w - r*w**4 - w**4 - w + 2*w**4 wrt w.\n' | b'-12*w**2\n' | b'Let r = 0 + 2. Find the second derivative of 4*w - r*w**4 - w**4 - w + 2*w**4 wrt w.\n' | b'-12*w**2\n' | deepmind/math_dataset |
b'Let h(t) = -3 - 16*t + 15*t + 3*t - 5. Determine h(6).\n' | b'4\n' | b'Let h(t) = -3 - 16*t + 15*t + 3*t - 5. Determine h(6).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 6, h: 2}. Give prob of picking 2 h and 1 x.\n' | b'3/28\n' | b'Three letters picked without replacement from {x: 6, h: 2}. Give prob of picking 2 h and 1 x.\n' | b'3/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pmmmppmmmppmm. Give prob of sequence pp.\n' | b'5/39\n' | b'Two letters picked without replacement from pmmmppmmmppmm. Give prob of sequence pp.\n' | b'5/39\n' | deepmind/math_dataset |
b'Let m(f) be the third derivative of f**5/30 - 5*f**4/24 - 7*f**3/6 + 3*f**2 - 3. Give m(5).\n' | b'18\n' | b'Let m(f) be the third derivative of f**5/30 - 5*f**4/24 - 7*f**3/6 + 3*f**2 - 3. Give m(5).\n' | b'18\n' | deepmind/math_dataset |
b'Simplify (n*n*n/(n**32*n)*n)/(n**(-4/5)*n) assuming n is positive.\n' | b'n**(-146/5)\n' | b'Simplify (n*n*n/(n**32*n)*n)/(n**(-4/5)*n) assuming n is positive.\n' | b'n**(-146/5)\n' | deepmind/math_dataset |
b'Let r(s) = -8*s**2 - 8*s + 13*s - 5 - 2. Let w(a) = -15*a**2 + 9*a - 15. Let j(u) = 9*r(u) - 5*w(u). Differentiate j(b) with respect to b.\n' | b'6*b\n' | b'Let r(s) = -8*s**2 - 8*s + 13*s - 5 - 2. Let w(a) = -15*a**2 + 9*a - 15. Let j(u) = 9*r(u) - 5*w(u). Differentiate j(b) with respect to b.\n' | b'6*b\n' | deepmind/math_dataset |
b'Calculate prob of sequence ydy when three letters picked without replacement from {e: 4, c: 1, k: 2, y: 3, u: 6, d: 3}.\n' | b'1/323\n' | b'Calculate prob of sequence ydy when three letters picked without replacement from {e: 4, c: 1, k: 2, y: 3, u: 6, d: 3}.\n' | b'1/323\n' | deepmind/math_dataset |
b'Simplify (q/(q*q*q**(-2/27)*q))/q**(13/3) assuming q is positive.\n' | b'q**(-169/27)\n' | b'Simplify (q/(q*q*q**(-2/27)*q))/q**(13/3) assuming q is positive.\n' | b'q**(-169/27)\n' | deepmind/math_dataset |
b'What is prob of picking 1 i, 1 c, and 1 w when three letters picked without replacement from {y: 3, w: 1, i: 5, c: 1, p: 3}?\n' | b'5/286\n' | b'What is prob of picking 1 i, 1 c, and 1 w when three letters picked without replacement from {y: 3, w: 1, i: 5, c: 1, p: 3}?\n' | b'5/286\n' | deepmind/math_dataset |
b'Let c(w) = 10*w**2 + w. Let m = -5 + 5. Suppose -2*j - 2 + 6 = m. Suppose j*n - n = 1. Determine c(n).\n' | b'11\n' | b'Let c(w) = 10*w**2 + w. Let m = -5 + 5. Suppose -2*j - 2 + 6 = m. Suppose j*n - n = 1. Determine c(n).\n' | b'11\n' | deepmind/math_dataset |
b'Let y(x) be the second derivative of 0*x**4 - 2*x - 79*x**2 + 1/2*x**5 - 69 + 0*x**3. What is the derivative of y(h) wrt h?\n' | b'30*h**2\n' | b'Let y(x) be the second derivative of 0*x**4 - 2*x - 79*x**2 + 1/2*x**5 - 69 + 0*x**3. What is the derivative of y(h) wrt h?\n' | b'30*h**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qnnczcncdddscsqq. Give prob of sequence sdsz.\n' | b'1/7280\n' | b'Four letters picked without replacement from qnnczcncdddscsqq. Give prob of sequence sdsz.\n' | b'1/7280\n' | deepmind/math_dataset |
b'Let a(b) = -b**2 - b - 1. Let w(t) = 4*t**2 + 15*t + 13. Let k(o) = -5*a(o) - w(o). Determine k(11).\n' | b'3\n' | b'Let a(b) = -b**2 - b - 1. Let w(t) = 4*t**2 + 15*t + 13. Let k(o) = -5*a(o) - w(o). Determine k(11).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 v when four letters picked without replacement from vvvaaaavabvvvvvavvv.\n' | b'165/1292\n' | b'Calculate prob of picking 4 v when four letters picked without replacement from vvvaaaavabvvvvvavvv.\n' | b'165/1292\n' | deepmind/math_dataset |
b'Let v(g) = -9*g - 9. Let q be v(-1). Let x be (-2)/(-7) - (-12)/7. Solve q = -4*p + l - 11, x*p - 3*l + 7 = -2*l for p.\n' | b'-2\n' | b'Let v(g) = -9*g - 9. Let q be v(-1). Let x be (-2)/(-7) - (-12)/7. Solve q = -4*p + l - 11, x*p - 3*l + 7 = -2*l for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence clcc when four letters picked without replacement from ccclccclc.\n' | b'5/36\n' | b'Calculate prob of sequence clcc when four letters picked without replacement from ccclccclc.\n' | b'5/36\n' | deepmind/math_dataset |
b'Simplify (a/(((a*a*a*(a/(((a/(((a/((a*a*a**(2/15))/a))/a*a)/a))/a)/a))/a)/a)/a)*a**(2/3)*a)/(a**(2/25)/a**(-3)) assuming a is positive.\n' | b'a**(-32/25)\n' | b'Simplify (a/(((a*a*a*(a/(((a/(((a/((a*a*a**(2/15))/a))/a*a)/a))/a)/a))/a)/a)/a)*a**(2/3)*a)/(a**(2/25)/a**(-3)) assuming a is positive.\n' | b'a**(-32/25)\n' | deepmind/math_dataset |
b'Suppose 6*s = s + 10. Solve 3*y - 16 = -2*x, -x - s*x + 14 = 2*y for x.\n' | b'2\n' | b'Suppose 6*s = s + 10. Solve 3*y - 16 = -2*x, -x - s*x + 14 = 2*y for x.\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.