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 k(l) = -7*l + 4. Let s(z) = -z + 1. Let h(d) = k(d) - 5*s(d). Let n be (-3)/(6/(-10)) - 0. Suppose -24 = n*q - 9. Determine h(q).\n' | b'5\n' | b'Let k(l) = -7*l + 4. Let s(z) = -z + 1. Let h(d) = k(d) - 5*s(d). Let n be (-3)/(6/(-10)) - 0. Suppose -24 = n*q - 9. Determine h(q).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 4, j: 2, i: 2, z: 1}. What is prob of sequence zijj?\n' | b'1/756\n' | b'Four letters picked without replacement from {r: 4, j: 2, i: 2, z: 1}. What is prob of sequence zijj?\n' | b'1/756\n' | deepmind/math_dataset |
b'Suppose -16 = -21*q + 13*q. What is the third derivative of 47*s**6 - 112*s**3 - 29*s**q + 216*s**3 + 2 - 105*s**3 wrt s?\n' | b'5640*s**3 - 6\n' | b'Suppose -16 = -21*q + 13*q. What is the third derivative of 47*s**6 - 112*s**3 - 29*s**q + 216*s**3 + 2 - 105*s**3 wrt s?\n' | b'5640*s**3 - 6\n' | deepmind/math_dataset |
b'Let d(f) = 20*f**2 + 8*f + 250. Let k(r) = 8*r**2 + r - 1. Let o(s) = -d(s) + 4*k(s). What is the derivative of o(g) wrt g?\n' | b'24*g - 4\n' | b'Let d(f) = 20*f**2 + 8*f + 250. Let k(r) = 8*r**2 + r - 1. Let o(s) = -d(s) + 4*k(s). What is the derivative of o(g) wrt g?\n' | b'24*g - 4\n' | deepmind/math_dataset |
b'Suppose 2*x = 2*k - 6 + 20, -3*k = 0. Suppose 10*f - 6 = x*f. What is the second derivative of -2*u + 5*u - 10*u**f - 13*u**2 + 8*u wrt u?\n' | b'-46\n' | b'Suppose 2*x = 2*k - 6 + 20, -3*k = 0. Suppose 10*f - 6 = x*f. What is the second derivative of -2*u + 5*u - 10*u**f - 13*u**2 + 8*u wrt u?\n' | b'-46\n' | deepmind/math_dataset |
b'Simplify (g**13)**(4/5) assuming g is positive.\n' | b'g**(52/5)\n' | b'Simplify (g**13)**(4/5) assuming g is positive.\n' | b'g**(52/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 w, and 1 i when three letters picked without replacement from {m: 5, w: 1, x: 1, v: 4, i: 3}.\n' | b'3/364\n' | b'Calculate prob of picking 1 x, 1 w, and 1 i when three letters picked without replacement from {m: 5, w: 1, x: 1, v: 4, i: 3}.\n' | b'3/364\n' | deepmind/math_dataset |
b'Simplify (p**(-1/34)*p/(p/p**39))/(p**(-10)*p**(-5/4)) assuming p is positive.\n' | b'p**(3415/68)\n' | b'Simplify (p**(-1/34)*p/(p/p**39))/(p**(-10)*p**(-5/4)) assuming p is positive.\n' | b'p**(3415/68)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, j: 4, q: 6}. Give prob of sequence jjj.\n' | b'4/165\n' | b'Three letters picked without replacement from {f: 1, j: 4, q: 6}. Give prob of sequence jjj.\n' | b'4/165\n' | deepmind/math_dataset |
b'What is prob of sequence ueae when four letters picked without replacement from {e: 9, u: 2, a: 8}?\n' | b'4/323\n' | b'What is prob of sequence ueae when four letters picked without replacement from {e: 9, u: 2, a: 8}?\n' | b'4/323\n' | deepmind/math_dataset |
b'Suppose f = 2*q - 2, 5 = 5*q + 2*f + 2*f. Let b be q + 0*1/(-2). Let x be -2 - (-3 - -4)/b. Let i(n) = -n**3 - 5*n**2 - 2*n. Determine i(x).\n' | b'-12\n' | b'Suppose f = 2*q - 2, 5 = 5*q + 2*f + 2*f. Let b be q + 0*1/(-2). Let x be -2 - (-3 - -4)/b. Let i(n) = -n**3 - 5*n**2 - 2*n. Determine i(x).\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of sequence aq when two letters picked without replacement from lllarqqaldrldla.\n' | b'1/35\n' | b'Calculate prob of sequence aq when two letters picked without replacement from lllarqqaldrldla.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of sequence ll when two letters picked without replacement from {i: 3, l: 2}?\n' | b'1/10\n' | b'What is prob of sequence ll when two letters picked without replacement from {i: 3, l: 2}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (q/(q**(-4)/q))**34/(q**(-1/2)/(q*q*q**3/q*q)) assuming q is positive.\n' | b'q**(419/2)\n' | b'Simplify (q/(q**(-4)/q))**34/(q**(-1/2)/(q*q*q**3/q*q)) assuming q is positive.\n' | b'q**(419/2)\n' | deepmind/math_dataset |
b'Let c(x) be the first derivative of -1 - 5*x - 1/2*x**2. Let f = 25 - 29. What is c(f)?\n' | b'-1\n' | b'Let c(x) be the first derivative of -1 - 5*x - 1/2*x**2. Let f = 25 - 29. What is c(f)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let b be 3/(15/(-6) + 3). Let v be (8/2)/(b/6). Solve f - 2*d = -v, -4*d + 6*d = 2*f + 8 for f.\n' | b'-4\n' | b'Let b be 3/(15/(-6) + 3). Let v be (8/2)/(b/6). Solve f - 2*d = -v, -4*d + 6*d = 2*f + 8 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let o = -5 - -2. Let a be (-3)/o*(-2)/(-1). Solve -a*i + 5*i + 3 = l, -2*l + i - 4 = 0 for l.\n' | b'-3\n' | b'Let o = -5 - -2. Let a be (-3)/o*(-2)/(-1). Solve -a*i + 5*i + 3 = l, -2*l + i - 4 = 0 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (b**(-2/7))**(-43)*b**0/b**4 assuming b is positive.\n' | b'b**(58/7)\n' | b'Simplify (b**(-2/7))**(-43)*b**0/b**4 assuming b is positive.\n' | b'b**(58/7)\n' | deepmind/math_dataset |
b'Let s(v) = 11*v - 18. Let c(r) = -31*r + 55. Let p(i) = -3*c(i) - 8*s(i). Let n be p(6). Solve -4*z = -y - 2*z - 11, 2*z + n = -3*y for y.\n' | b'-5\n' | b'Let s(v) = 11*v - 18. Let c(r) = -31*r + 55. Let p(i) = -3*c(i) - 8*s(i). Let n be p(6). Solve -4*z = -y - 2*z - 11, 2*z + n = -3*y for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u = 276 + -274. Solve 0 = 5*q - 3*i + 4, -5*q - 6*i - 18 = -u*i for q.\n' | b'-2\n' | b'Let u = 276 + -274. Solve 0 = 5*q - 3*i + 4, -5*q - 6*i - 18 = -u*i for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, w: 4, g: 2}. Give prob of picking 2 g.\n' | b'1/45\n' | b'Two letters picked without replacement from {z: 4, w: 4, g: 2}. Give prob of picking 2 g.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let m be 220/120 + (-2)/(-12). Find the third derivative of 0*i**2 + 15*i**3 + i**m - 2*i**2 - 14*i**2 wrt i.\n' | b'90\n' | b'Let m be 220/120 + (-2)/(-12). Find the third derivative of 0*i**2 + 15*i**3 + i**m - 2*i**2 - 14*i**2 wrt i.\n' | b'90\n' | deepmind/math_dataset |
b'Simplify ((((o**(-1/8)*o)/o)**(-3/7))**28)**(-3) assuming o is positive.\n' | b'o**(-9/2)\n' | b'Simplify ((((o**(-1/8)*o)/o)**(-3/7))**28)**(-3) assuming o is positive.\n' | b'o**(-9/2)\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-1/4)/i*i*i)**(-29)/((i/(i*i**0))/i)**(-2/19))/((i/(i*i*(i*i**(2/7)*i*i*i)/i))**(-1))**(-32) assuming i is positive.\n' | b'i**(45905/532)\n' | b'Simplify ((i*i**(-1/4)/i*i*i)**(-29)/((i/(i*i**0))/i)**(-2/19))/((i/(i*i*(i*i**(2/7)*i*i*i)/i))**(-1))**(-32) assuming i is positive.\n' | b'i**(45905/532)\n' | deepmind/math_dataset |
b'Simplify (o**(-11)*o**(-4))**(-3)/(o/(o**(3/10)/o)*o**(2/7)*(o**(-1))**(-30)) assuming o is positive.\n' | b'o**(911/70)\n' | b'Simplify (o**(-11)*o**(-4))**(-3)/(o/(o**(3/10)/o)*o**(2/7)*(o**(-1))**(-30)) assuming o is positive.\n' | b'o**(911/70)\n' | deepmind/math_dataset |
b'Calculate prob of sequence zx when two letters picked without replacement from {z: 4, x: 6}.\n' | b'4/15\n' | b'Calculate prob of sequence zx when two letters picked without replacement from {z: 4, x: 6}.\n' | b'4/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 12, u: 1}. What is prob of sequence uxxx?\n' | b'1/13\n' | b'Four letters picked without replacement from {x: 12, u: 1}. What is prob of sequence uxxx?\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify (((y/(y/(y/y**(2/7))))/y**1)**(-12))**(-3/26) assuming y is positive.\n' | b'y**(-36/91)\n' | b'Simplify (((y/(y/(y/y**(2/7))))/y**1)**(-12))**(-3/26) assuming y is positive.\n' | b'y**(-36/91)\n' | deepmind/math_dataset |
b'Differentiate -1802*s**4 + 974*s**4 + 924 + 1004*s**4 wrt s.\n' | b'704*s**3\n' | b'Differentiate -1802*s**4 + 974*s**4 + 924 + 1004*s**4 wrt s.\n' | b'704*s**3\n' | deepmind/math_dataset |
b'Let g(z) be the first derivative of -97*z**5/20 + 13*z**2 - 25*z - 46. Let h(l) be the first derivative of g(l). Find the first derivative of h(x) wrt x.\n' | b'-291*x**2\n' | b'Let g(z) be the first derivative of -97*z**5/20 + 13*z**2 - 25*z - 46. Let h(l) be the first derivative of g(l). Find the first derivative of h(x) wrt x.\n' | b'-291*x**2\n' | deepmind/math_dataset |
b'Let q(y) = 77*y - 1771. Let o be q(23). Solve 5*i = -2*h - 31, o = -5*h - i - 11 - 9 for h.\n' | b'-3\n' | b'Let q(y) = 77*y - 1771. Let o be q(23). Solve 5*i = -2*h - 31, o = -5*h - i - 11 - 9 for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 3*d = -6, 4 = r - 2*d - 0*d. Let z(i) = r*i - 3 - i - 6*i**2 + 3*i + 4*i**3 - 3*i**3. Calculate z(6).\n' | b'9\n' | b'Suppose 3*d = -6, 4 = r - 2*d - 0*d. Let z(i) = r*i - 3 - i - 6*i**2 + 3*i + 4*i**3 - 3*i**3. Calculate z(6).\n' | b'9\n' | deepmind/math_dataset |
b'Let m be (0/1 - 12/(-4))*1. Let c be (3/2)/(m/6). Suppose -2*q + f = 6, -q + 4*f + 1 + c = 0. Let o(b) = -b**2 - 2*b - 2. Calculate o(q).\n' | b'-10\n' | b'Let m be (0/1 - 12/(-4))*1. Let c be (3/2)/(m/6). Suppose -2*q + f = 6, -q + 4*f + 1 + c = 0. Let o(b) = -b**2 - 2*b - 2. Calculate o(q).\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 4, l: 3}. Give prob of sequence li.\n' | b'2/7\n' | b'Two letters picked without replacement from {i: 4, l: 3}. Give prob of sequence li.\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify (v**(2/13)*v)**(-25)/((v**4*v)/(v*((v/v**(-14/5))/v)/v)) assuming v is positive.\n' | b'v**(-2018/65)\n' | b'Simplify (v**(2/13)*v)**(-25)/((v**4*v)/(v*((v/v**(-14/5))/v)/v)) assuming v is positive.\n' | b'v**(-2018/65)\n' | deepmind/math_dataset |
b'Suppose -i + 4*i - 60 = 0. Suppose -j + 0*t - 3*t - 3 = 0, 5*t = 4*j - 22. Let r be j - 3*8/(-12). Solve 2*s + i = -r*n - 3*s, 3*s = -n - 4 for n.\n' | b'-4\n' | b'Suppose -i + 4*i - 60 = 0. Suppose -j + 0*t - 3*t - 3 = 0, 5*t = 4*j - 22. Let r be j - 3*8/(-12). Solve 2*s + i = -r*n - 3*s, 3*s = -n - 4 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence vbb when three letters picked without replacement from {v: 9, b: 11}?\n' | b'11/76\n' | b'What is prob of sequence vbb when three letters picked without replacement from {v: 9, b: 11}?\n' | b'11/76\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 2 k when three letters picked without replacement from vykvkvvyykjjv.\n' | b'9/286\n' | b'Calculate prob of picking 1 y and 2 k when three letters picked without replacement from vykvkvvyykjjv.\n' | b'9/286\n' | deepmind/math_dataset |
b'Let t(c) = c + 3. Let y be t(2). Let f(x) = 4*x**3 + 7*x**2 + x - 2. Let s(h) = -3*h**3 - 7*h**2 + 1. Let r(q) = y*s(q) + 4*f(q). Calculate r(6).\n' | b'-15\n' | b'Let t(c) = c + 3. Let y be t(2). Let f(x) = 4*x**3 + 7*x**2 + x - 2. Let s(h) = -3*h**3 - 7*h**2 + 1. Let r(q) = y*s(q) + 4*f(q). Calculate r(6).\n' | b'-15\n' | deepmind/math_dataset |
b'Let c(h) be the third derivative of h**5/60 + h**4/3 + h**3/3 + 7*h**2. Let g be c(-9). Suppose 0 = -2*w + 19 - g. Solve 4*j = -3*t + 31, -w = -2*j + j for t.\n' | b'5\n' | b'Let c(h) be the third derivative of h**5/60 + h**4/3 + h**3/3 + 7*h**2. Let g be c(-9). Suppose 0 = -2*w + 19 - g. Solve 4*j = -3*t + 31, -w = -2*j + j for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let d(k) = 3*k**2 + 34*k + 4. Let b be d(-14). Let q = b + -114. Solve 4*a + 8 = 0, -t + q - 10 = 5*a for t.\n' | b'2\n' | b'Let d(k) = 3*k**2 + 34*k + 4. Let b be d(-14). Let q = b + -114. Solve 4*a + 8 = 0, -t + q - 10 = 5*a for t.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qllqadc. Give prob of picking 2 q.\n' | b'1/21\n' | b'Two letters picked without replacement from qllqadc. Give prob of picking 2 q.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let o(g) = 12*g**3 + 11 - 7*g**3 - 7*g**3 + 3*g + 16*g**2. Let y be o(8). Solve -4*j + 0*i + y = 5*i, 2*i = 4*j - 14 for j.\n' | b'5\n' | b'Let o(g) = 12*g**3 + 11 - 7*g**3 - 7*g**3 + 3*g + 16*g**2. Let y be o(8). Solve -4*j + 0*i + y = 5*i, 2*i = 4*j - 14 for j.\n' | b'5\n' | deepmind/math_dataset |
b'What is the second derivative of 0*l + 254*l**5 + 946*l**5 + 18*l - 3 - 67*l wrt l?\n' | b'24000*l**3\n' | b'What is the second derivative of 0*l + 254*l**5 + 946*l**5 + 18*l - 3 - 67*l wrt l?\n' | b'24000*l**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pvvpvpvdovdvpnvnpvpp. Give prob of sequence vnn.\n' | b'2/855\n' | b'Three letters picked without replacement from pvvpvpvdovdvpnvnpvpp. Give prob of sequence vnn.\n' | b'2/855\n' | deepmind/math_dataset |
b'What is prob of sequence vo when two letters picked without replacement from {f: 1, v: 1, i: 1, o: 2}?\n' | b'1/10\n' | b'What is prob of sequence vo when two letters picked without replacement from {f: 1, v: 1, i: 1, o: 2}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let p be (-2)/1 + 0 + -1. Let q = 0 + p. Let b = q + 8. Let z(g) = -g**2 + 3*g + 1. Determine z(b).\n' | b'-9\n' | b'Let p be (-2)/1 + 0 + -1. Let q = 0 + p. Let b = q + 8. Let z(g) = -g**2 + 3*g + 1. Determine z(b).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose -20 = 7*t - 3*t. Let r be 3 + (-1)/1 + 1. Let o(y) = y - 4 - r*y - 1. Calculate o(t).\n' | b'5\n' | b'Suppose -20 = 7*t - 3*t. Let r be 3 + (-1)/1 + 1. Let o(y) = y - 4 - r*y - 1. Calculate o(t).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (v*v/v**(2/9)*v*v*v**(3/10)*(v/v**(-29))**45)**(2/157) assuming v is positive.\n' | b'v**(121867/7065)\n' | b'Simplify (v*v/v**(2/9)*v*v*v**(3/10)*(v/v**(-29))**45)**(2/157) assuming v is positive.\n' | b'v**(121867/7065)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 g when two letters picked without replacement from ggaaanaaakkngnaaa.\n' | b'27/136\n' | b'Calculate prob of picking 1 a and 1 g when two letters picked without replacement from ggaaanaaakkngnaaa.\n' | b'27/136\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from {q: 6, l: 6}.\n' | b'5/22\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from {q: 6, l: 6}.\n' | b'5/22\n' | deepmind/math_dataset |
b'Suppose 0*c - 81 = -4*n + c, -5*n + c + 102 = 0. What is the derivative of -1 + 6*f**2 - n*f**2 + 51*f**2 wrt f?\n' | b'72*f\n' | b'Suppose 0*c - 81 = -4*n + c, -5*n + c + 102 = 0. What is the derivative of -1 + 6*f**2 - n*f**2 + 51*f**2 wrt f?\n' | b'72*f\n' | deepmind/math_dataset |
b'Simplify (i**(-2/39)/((i/((i**15*i)/i*i))/i))/(i**(-21/4)/i*i/i**(-2/15)*i) assuming i is positive.\n' | b'i**(5217/260)\n' | b'Simplify (i**(-2/39)/((i/((i**15*i)/i*i))/i))/(i**(-21/4)/i*i/i**(-2/15)*i) assuming i is positive.\n' | b'i**(5217/260)\n' | deepmind/math_dataset |
b'What is the derivative of -5*q + 6*q + 1 - 22*q wrt q?\n' | b'-21\n' | b'What is the derivative of -5*q + 6*q + 1 - 22*q wrt q?\n' | b'-21\n' | deepmind/math_dataset |
b'Let s(w) be the second derivative of w**3/6 + w**2 - 2*w. Let o be s(2). Let k be (2/1)/(o - 3). Solve -k*j - j = -3*p + 21, -j - 1 = p for j.\n' | b'-4\n' | b'Let s(w) be the second derivative of w**3/6 + w**2 - 2*w. Let o be s(2). Let k be (2/1)/(o - 3). Solve -k*j - j = -3*p + 21, -j - 1 = p for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((a/a**0)**(-7/9)/(a/a**(3/5)*a*a/a**7*a))**(-5) assuming a is positive.\n' | b'a**(-127/9)\n' | b'Simplify ((a/a**0)**(-7/9)/(a/a**(3/5)*a*a/a**7*a))**(-5) assuming a is positive.\n' | b'a**(-127/9)\n' | deepmind/math_dataset |
b'Let r(l) be the third derivative of l**5/60 + l**4/12 + l**3/6 - 4*l**2. Let k be r(-1). Solve -4*h - 6 = -h - 4*c, -3*c = k for h.\n' | b'-2\n' | b'Let r(l) be the third derivative of l**5/60 + l**4/12 + l**3/6 - 4*l**2. Let k be r(-1). Solve -4*h - 6 = -h - 4*c, -3*c = k for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j = 36 - 29. Suppose z - 4*h - 10 = 0, 0 = 5*z + 5*h - 12 - 13. Find the third derivative of 7*c**z - c**2 + 2*c**2 - j*c**2 - 4*c**6 wrt c.\n' | b'360*c**3\n' | b'Let j = 36 - 29. Suppose z - 4*h - 10 = 0, 0 = 5*z + 5*h - 12 - 13. Find the third derivative of 7*c**z - c**2 + 2*c**2 - j*c**2 - 4*c**6 wrt c.\n' | b'360*c**3\n' | deepmind/math_dataset |
b'Let o(r) = r**2 + 15*r - 14. Let z be o(-16). Let b(h) = -3*h - 3. Let y(k) = 2*k + 2. Let m(c) = 3*b(c) + 4*y(c). Determine m(z).\n' | b'-3\n' | b'Let o(r) = r**2 + 15*r - 14. Let z be o(-16). Let b(h) = -3*h - 3. Let y(k) = 2*k + 2. Let m(c) = 3*b(c) + 4*y(c). Determine m(z).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 5, z: 9, a: 1, g: 3}. Give prob of sequence ag.\n' | b'1/102\n' | b'Two letters picked without replacement from {k: 5, z: 9, a: 1, g: 3}. Give prob of sequence ag.\n' | b'1/102\n' | deepmind/math_dataset |
b'Let p = 281 - 278. Solve -2*b = -4*o - 18, -p*b + 4*o = 2*b - 27 for b.\n' | b'3\n' | b'Let p = 281 - 278. Solve -2*b = -4*o - 18, -p*b + 4*o = 2*b - 27 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -4*v + 4*o + 60 = 0, -v + 4*v = -o + 57. Let b be (416/v)/4 + 8/36. Let g(i) = -2*i + 6. Give g(b).\n' | b'-6\n' | b'Suppose -4*v + 4*o + 60 = 0, -v + 4*v = -o + 57. Let b be (416/v)/4 + 8/36. Let g(i) = -2*i + 6. Give g(b).\n' | b'-6\n' | deepmind/math_dataset |
b'Let g = -15 - -21. Suppose 4*y + 5*p - 7 = 0, -9*p + 10 = 5*y - 4*p. Let c(k) = -3 + 4*k**2 + 0*k**2 - 3*k**3 + 1 + 2*k**y + 3*k**2 - 7*k. Determine c(g).\n' | b'-8\n' | b'Let g = -15 - -21. Suppose 4*y + 5*p - 7 = 0, -9*p + 10 = 5*y - 4*p. Let c(k) = -3 + 4*k**2 + 0*k**2 - 3*k**3 + 1 + 2*k**y + 3*k**2 - 7*k. Determine c(g).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence mwm when three letters picked without replacement from wmwmwmwwwmmw.\n' | b'7/66\n' | b'Calculate prob of sequence mwm when three letters picked without replacement from wmwmwmwwwmmw.\n' | b'7/66\n' | deepmind/math_dataset |
b'Simplify (q**(3/7)/q*(q*q/q**(-3/4))/q*q*q)/(q/(q**(1/2)*q*q)*(q*q**(-2/13))/q)*((q**(-1/8)/q)/(q*q**(-3)))**(23/5) assuming q is positive.\n' | b'q**(32241/3640)\n' | b'Simplify (q**(3/7)/q*(q*q/q**(-3/4))/q*q*q)/(q/(q**(1/2)*q*q)*(q*q**(-2/13))/q)*((q**(-1/8)/q)/(q*q**(-3)))**(23/5) assuming q is positive.\n' | b'q**(32241/3640)\n' | deepmind/math_dataset |
b'Let c(p) = 19*p**4 - 3*p**3 + 5*p**2 + 6. Let r(a) = 19*a**4 - 3*a**3 + 6*a**2 + 7. Let x(t) = -7*c(t) + 6*r(t). What is the third derivative of x(h) wrt h?\n' | b'-456*h + 18\n' | b'Let c(p) = 19*p**4 - 3*p**3 + 5*p**2 + 6. Let r(a) = 19*a**4 - 3*a**3 + 6*a**2 + 7. Let x(t) = -7*c(t) + 6*r(t). What is the third derivative of x(h) wrt h?\n' | b'-456*h + 18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 h when two letters picked without replacement from khgiohi.\n' | b'2/21\n' | b'Calculate prob of picking 1 k and 1 h when two letters picked without replacement from khgiohi.\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify m*(m*m/(m*m**(-23)))/m*m*m**(-2/13)*(m*(m*m**(1/7))/m*m)/m**(1/19) assuming m is positive.\n' | b'm**(46573/1729)\n' | b'Simplify m*(m*m/(m*m**(-23)))/m*m*m**(-2/13)*(m*(m*m**(1/7))/m*m)/m**(1/19) assuming m is positive.\n' | b'm**(46573/1729)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qqqrrr. What is prob of sequence qrrr?\n' | b'1/20\n' | b'Four letters picked without replacement from qqqrrr. What is prob of sequence qrrr?\n' | b'1/20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, k: 8}. What is prob of picking 2 k?\n' | b'28/55\n' | b'Two letters picked without replacement from {e: 3, k: 8}. What is prob of picking 2 k?\n' | b'28/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vhmdpvv. Give prob of sequence dpvh.\n' | b'1/280\n' | b'Four letters picked without replacement from vhmdpvv. Give prob of sequence dpvh.\n' | b'1/280\n' | deepmind/math_dataset |
b'Let x = 186 - 183. Solve -5*d + 35 = -c + 11, x*d + 5*c - 20 = 0 for d.\n' | b'5\n' | b'Let x = 186 - 183. Solve -5*d + 35 = -c + 11, x*d + 5*c - 20 = 0 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 3, d: 4}. Give prob of sequence dt.\n' | b'2/7\n' | b'Two letters picked without replacement from {t: 3, d: 4}. Give prob of sequence dt.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let q(i) = i**2 - i - 4. Suppose -g - 3 = g - n, -4*g = -5*n + 15. Suppose g = 8*d - 4*d - 4. Let p be (d/3)/((-1)/(-12)). Give q(p).\n' | b'8\n' | b'Let q(i) = i**2 - i - 4. Suppose -g - 3 = g - n, -4*g = -5*n + 15. Suppose g = 8*d - 4*d - 4. Let p be (d/3)/((-1)/(-12)). Give q(p).\n' | b'8\n' | deepmind/math_dataset |
b'Let k(z) = 21*z + 1538. Let m be k(-73). Solve m*n - 3*v = -11, 2*n + 36*v - 39*v + 8 = 0 for n.\n' | b'-1\n' | b'Let k(z) = 21*z + 1538. Let m be k(-73). Solve m*n - 3*v = -11, 2*n + 36*v - 39*v + 8 = 0 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let k = -168 - -172. Solve 5*m + r - 20 = -0*r, m - 4*r - k = 0 for m.\n' | b'4\n' | b'Let k = -168 - -172. Solve 5*m + r - 20 = -0*r, m - 4*r - k = 0 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let o(y) = -y**3 + 21*y**2 - 68*y + 13. Let d be o(17). Suppose -d*j - 125 = -38*j. Solve 3*s = -6, s - 6*s - j = z for z.\n' | b'5\n' | b'Let o(y) = -y**3 + 21*y**2 - 68*y + 13. Let d be o(17). Suppose -d*j - 125 = -38*j. Solve 3*s = -6, s - 6*s - j = z for z.\n' | b'5\n' | deepmind/math_dataset |
b'Let d = 21 + -18. Suppose d*i - 74 + 65 = 0. Solve -3*k + 19 = -2*x, -2*k + i*k + 5*x = -5 for k.\n' | b'5\n' | b'Let d = 21 + -18. Suppose d*i - 74 + 65 = 0. Solve -3*k + 19 = -2*x, -2*k + i*k + 5*x = -5 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify t*t*t**3*t*t*t*t**5*(t/t**(-1/7))/(t*t**3) assuming t is positive.\n' | b't**(71/7)\n' | b'Simplify t*t*t**3*t*t*t*t**5*(t/t**(-1/7))/(t*t**3) assuming t is positive.\n' | b't**(71/7)\n' | deepmind/math_dataset |
b'Let x be 12/30*(-1 - -6). Suppose 0 = x*n - 15 + 9. Let y(f) = n + 3*f**2 - 3 + 12 - 4*f**2 - f. Give y(0).\n' | b'12\n' | b'Let x be 12/30*(-1 - -6). Suppose 0 = x*n - 15 + 9. Let y(f) = n + 3*f**2 - 3 + 12 - 4*f**2 - f. Give y(0).\n' | b'12\n' | deepmind/math_dataset |
b'Find the third derivative of 3638*m**2 + 944*m**4 + 3582*m**2 - 7108*m**2 wrt m.\n' | b'22656*m\n' | b'Find the third derivative of 3638*m**2 + 944*m**4 + 3582*m**2 - 7108*m**2 wrt m.\n' | b'22656*m\n' | deepmind/math_dataset |
b'Simplify (a/(a**(-2/3)/a))**(5/14)*a**(1/12)*a*a**(-1)*a assuming a is positive.\n' | b'a**(57/28)\n' | b'Simplify (a/(a**(-2/3)/a))**(5/14)*a**(1/12)*a*a**(-1)*a assuming a is positive.\n' | b'a**(57/28)\n' | deepmind/math_dataset |
b'Let s(m) = 13*m - 12. Let t(w) = -3*w + 1. Let c(o) = -s(o) - 5*t(o). Let n(l) = 2*l + 13. Let z be n(-9). Determine c(z).\n' | b'-3\n' | b'Let s(m) = 13*m - 12. Let t(w) = -3*w + 1. Let c(o) = -s(o) - 5*t(o). Let n(l) = 2*l + 13. Let z be n(-9). Determine c(z).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zczzczzczzzzzzzz. What is prob of picking 3 z?\n' | b'143/280\n' | b'Three letters picked without replacement from zczzczzczzzzzzzz. What is prob of picking 3 z?\n' | b'143/280\n' | deepmind/math_dataset |
b'Let c be 3/(6/2)*5. Suppose 6*j - 3 = c*j. Let h(y) = 2*y**2 - y + 1. Let o be h(j). Solve -2*i + 4*k = -o, 4*k - k + 22 = 4*i for i.\n' | b'4\n' | b'Let c be 3/(6/2)*5. Suppose 6*j - 3 = c*j. Let h(y) = 2*y**2 - y + 1. Let o be h(j). Solve -2*i + 4*k = -o, 4*k - k + 22 = 4*i for i.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence gpg when three letters picked without replacement from ugggppuuyg?\n' | b'1/30\n' | b'What is prob of sequence gpg when three letters picked without replacement from ugggppuuyg?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {f: 2, q: 2, v: 4}.\n' | b'1/28\n' | b'Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {f: 2, q: 2, v: 4}.\n' | b'1/28\n' | deepmind/math_dataset |
b'What is prob of sequence cccv when four letters picked without replacement from gcczcvvvvvcgvv?\n' | b'1/143\n' | b'What is prob of sequence cccv when four letters picked without replacement from gcczcvvvvvcgvv?\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify (y**(2/5)/(y*(y/(y/(y*y**(-9/8))))/y))/((y*(y*y**(-1/8))/y)/(y/(y/(y*y**(2/21)*y*y*y))*y)) assuming y is positive.\n' | b'y**(1993/420)\n' | b'Simplify (y**(2/5)/(y*(y/(y/(y*y**(-9/8))))/y))/((y*(y*y**(-1/8))/y)/(y/(y/(y*y**(2/21)*y*y*y))*y)) assuming y is positive.\n' | b'y**(1993/420)\n' | deepmind/math_dataset |
b'Let u(k) be the second derivative of k**4/12 - 2*k**3/3 + 5*k**2/2 - 2*k. Suppose f = 38 - 3. Suppose f = 5*v - 3*i, 3*i = -6 - 9. What is u(v)?\n' | b'5\n' | b'Let u(k) be the second derivative of k**4/12 - 2*k**3/3 + 5*k**2/2 - 2*k. Suppose f = 38 - 3. Suppose f = 5*v - 3*i, 3*i = -6 - 9. What is u(v)?\n' | b'5\n' | deepmind/math_dataset |
b'Let s(w) be the second derivative of 5033*w**4/12 - w**3/6 - 1477*w**2 + 24*w + 45. Find the second derivative of s(i) wrt i.\n' | b'10066\n' | b'Let s(w) be the second derivative of 5033*w**4/12 - w**3/6 - 1477*w**2 + 24*w + 45. Find the second derivative of s(i) wrt i.\n' | b'10066\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 q when two letters picked without replacement from {u: 2, v: 8, q: 2}?\n' | b'8/33\n' | b'What is prob of picking 1 v and 1 q when two letters picked without replacement from {u: 2, v: 8, q: 2}?\n' | b'8/33\n' | deepmind/math_dataset |
b'Let u = 798 - 796. Let i(r) = 1 - 4*r - 3 + 7. Let w(s) = 5*s - 6. Let v(p) = -4*i(p) - 3*w(p). Calculate v(u).\n' | b'0\n' | b'Let u = 798 - 796. Let i(r) = 1 - 4*r - 3 + 7. Let w(s) = 5*s - 6. Let v(p) = -4*i(p) - 3*w(p). Calculate v(u).\n' | b'0\n' | deepmind/math_dataset |
b'Let a(u) be the second derivative of -u**7/14 - u**3/3 + 10*u**2 - 21*u. Let l(y) be the first derivative of a(y). Differentiate l(i) wrt i.\n' | b'-60*i**3\n' | b'Let a(u) be the second derivative of -u**7/14 - u**3/3 + 10*u**2 - 21*u. Let l(y) be the first derivative of a(y). Differentiate l(i) wrt i.\n' | b'-60*i**3\n' | deepmind/math_dataset |
b'Let z(f) = f**3 - 7*f**2 + 9*f - 1. Let d(x) = 10*x**2 - 2*x + 4. Let a be d(2). Suppose a*k = 48*k - 48. Give z(k).\n' | b'17\n' | b'Let z(f) = f**3 - 7*f**2 + 9*f - 1. Let d(x) = 10*x**2 - 2*x + 4. Let a be d(2). Suppose a*k = 48*k - 48. Give z(k).\n' | b'17\n' | deepmind/math_dataset |
b'Simplify z*((z**30*z)/z)/z*z*z**(3/20) assuming z is positive.\n' | b'z**(623/20)\n' | b'Simplify z*((z**30*z)/z)/z*z*z**(3/20) assuming z is positive.\n' | b'z**(623/20)\n' | deepmind/math_dataset |
b'What is prob of sequence oqo when three letters picked without replacement from oqqoooo?\n' | b'4/21\n' | b'What is prob of sequence oqo when three letters picked without replacement from oqqoooo?\n' | b'4/21\n' | deepmind/math_dataset |
b'Simplify ((k*(k*k**(-4))/k)**(2/73))**(4/19)*k**(2/29)*(k*k*(k*k*k**(-2/27)*k)/k*k)/k*k*(k/(k**(-3)/k))/(k*k/k**(-5/2)) assuming k is positive.\n' | b'k**(11897551/2172042)\n' | b'Simplify ((k*(k*k**(-4))/k)**(2/73))**(4/19)*k**(2/29)*(k*k*(k*k*k**(-2/27)*k)/k*k)/k*k*(k/(k**(-3)/k))/(k*k/k**(-5/2)) assuming k is positive.\n' | b'k**(11897551/2172042)\n' | deepmind/math_dataset |
b'Simplify (q**(-11))**(-2/55)/(q**13*q*q**4) assuming q is positive.\n' | b'q**(-88/5)\n' | b'Simplify (q**(-11))**(-2/55)/(q**13*q*q**4) assuming q is positive.\n' | b'q**(-88/5)\n' | deepmind/math_dataset |
b'Let l(h) be the third derivative of -87*h**8/16 + h**7/105 - 49*h**5/20 - 726*h**2. Find the third derivative of l(r) wrt r.\n' | b'-109620*r**2 + 48*r\n' | b'Let l(h) be the third derivative of -87*h**8/16 + h**7/105 - 49*h**5/20 - 726*h**2. Find the third derivative of l(r) wrt r.\n' | b'-109620*r**2 + 48*r\n' | deepmind/math_dataset |
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