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'Simplify (i**(-8))**(-6/19)*(i*i**(2/45))/(i*i/(i/(i**(-1/15)*i))) assuming i is positive.\n' | b'i**(280/171)\n' | b'Simplify (i**(-8))**(-6/19)*(i*i**(2/45))/(i*i/(i/(i**(-1/15)*i))) assuming i is positive.\n' | b'i**(280/171)\n' | deepmind/math_dataset |
b'Let q(b) = b**2 + 5*b + 3. Let a be q(-4). Let h = 1 - a. What is the second derivative of -2*l - 7*l**h + 7*l**2 + 2*l**5 wrt l?\n' | b'40*l**3\n' | b'Let q(b) = b**2 + 5*b + 3. Let a be q(-4). Let h = 1 - a. What is the second derivative of -2*l - 7*l**h + 7*l**2 + 2*l**5 wrt l?\n' | b'40*l**3\n' | deepmind/math_dataset |
b'Let j = 799 + -777. Suppose 2*m - 8*m = j*m. Solve m = 5*n - 2*u - 23, 8*n - 8 = 4*n - u for n.\n' | b'3\n' | b'Let j = 799 + -777. Suppose 2*m - 8*m = j*m. Solve m = 5*n - 2*u - 23, 8*n - 8 = 4*n - u for n.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkkkkkkkkkekkkkkkk. Give prob of picking 1 k and 1 e.\n' | b'1/9\n' | b'Two letters picked without replacement from kkkkkkkkkkekkkkkkk. Give prob of picking 1 k and 1 e.\n' | b'1/9\n' | deepmind/math_dataset |
b'What is prob of sequence mik when three letters picked without replacement from {i: 2, m: 3, k: 3}?\n' | b'3/56\n' | b'What is prob of sequence mik when three letters picked without replacement from {i: 2, m: 3, k: 3}?\n' | b'3/56\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mmzzumhmemezm. Give prob of sequence hm.\n' | b'1/26\n' | b'Two letters picked without replacement from mmzzumhmemezm. Give prob of sequence hm.\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose 125*p - 14 = 127*p. Let d(y) = -7*y**3 - 11*y**2 - 17*y + 16. Let z(c) = -4*c**3 - 5*c**2 - 9*c + 8. Let h(g) = 3*d(g) - 5*z(g). Give h(p).\n' | b'1\n' | b'Suppose 125*p - 14 = 127*p. Let d(y) = -7*y**3 - 11*y**2 - 17*y + 16. Let z(c) = -4*c**3 - 5*c**2 - 9*c + 8. Let h(g) = 3*d(g) - 5*z(g). Give h(p).\n' | b'1\n' | deepmind/math_dataset |
b'Let l = 425 - 421. Let k be (2/(-7) - (-1230)/42) + l. Solve 5*p + 2*b = k, -2*p - 3 = -4*b + 3 for p.\n' | b'5\n' | b'Let l = 425 - 421. Let k be (2/(-7) - (-1230)/42) + l. Solve 5*p + 2*b = k, -2*p - 3 = -4*b + 3 for p.\n' | b'5\n' | deepmind/math_dataset |
b'Let c(b) = b**3 - 2*b + 1. Let x be c(0). Suppose -4*q + 13 = s, x = 2*s - 2*q - 25. Let k = 9 - 5. Solve 2*i + s = -3*w, -2*w - 10 = 4*i + k for i.\n' | b'-2\n' | b'Let c(b) = b**3 - 2*b + 1. Let x be c(0). Suppose -4*q + 13 = s, x = 2*s - 2*q - 25. Let k = 9 - 5. Solve 2*i + s = -3*w, -2*w - 10 = 4*i + k for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 2*j + 87 - 91 = 0. Solve 0 = -k + l - j, k - 3*k - 3*l = -21 for k.\n' | b'3\n' | b'Suppose 2*j + 87 - 91 = 0. Solve 0 = -k + l - j, k - 3*k - 3*l = -21 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let b(s) = 19*s**2 + 6*s + 21. Let y(x) = 39*x**2 + 13*x + 43. Suppose 0 = -10*f + f - 54. Let g(p) = f*y(p) + 13*b(p). Find the first derivative of g(h) wrt h.\n' | b'26*h\n' | b'Let b(s) = 19*s**2 + 6*s + 21. Let y(x) = 39*x**2 + 13*x + 43. Suppose 0 = -10*f + f - 54. Let g(p) = f*y(p) + 13*b(p). Find the first derivative of g(h) wrt h.\n' | b'26*h\n' | deepmind/math_dataset |
b'Let i be (2/6)/(1/(-3)). Let m = 4 + i. Find the second derivative of -5*c + 2*c**m + 0*c + 2*c wrt c.\n' | b'12*c\n' | b'Let i be (2/6)/(1/(-3)). Let m = 4 + i. Find the second derivative of -5*c + 2*c**m + 0*c + 2*c wrt c.\n' | b'12*c\n' | deepmind/math_dataset |
b'Simplify ((k*k**(2/39))/k**(-1))/((k**(1/23)*k)/(k*k*k/(((k**(-15/4)/k)/k)/k)*k*k)) assuming k is positive.\n' | b'k**(45775/3588)\n' | b'Simplify ((k*k**(2/39))/k**(-1))/((k**(1/23)*k)/(k*k*k/(((k**(-15/4)/k)/k)/k)*k*k)) assuming k is positive.\n' | b'k**(45775/3588)\n' | deepmind/math_dataset |
b'Simplify w*w/(w**(9/5)/w)*w**(-23) assuming w is positive.\n' | b'w**(-109/5)\n' | b'Simplify w*w/(w**(9/5)/w)*w**(-23) assuming w is positive.\n' | b'w**(-109/5)\n' | deepmind/math_dataset |
b'Suppose -2*a + 8 = -2. Let c(n) = n + 1. Determine c(a).\n' | b'6\n' | b'Suppose -2*a + 8 = -2. Let c(n) = n + 1. Determine c(a).\n' | b'6\n' | deepmind/math_dataset |
b'Let y(x) be the second derivative of -5/2*x**2 - 1/8*x**4 + 1/3*x**3 + 0 + 7*x - 1/30*x**5. Let c(o) be the first derivative of y(o). What is c(-3)?\n' | b'-7\n' | b'Let y(x) be the second derivative of -5/2*x**2 - 1/8*x**4 + 1/3*x**3 + 0 + 7*x - 1/30*x**5. Let c(o) be the first derivative of y(o). What is c(-3)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (p**(3/17)*p)/(p/(p**(-20)/p)*p)*(p/(p*((p**(-12)*p)/p)/p))/((p*p*p**(-25)/p*p)/p) assuming p is positive.\n' | b'p**(258/17)\n' | b'Simplify (p**(3/17)*p)/(p/(p**(-20)/p)*p)*(p/(p*((p**(-12)*p)/p)/p))/((p*p*p**(-25)/p*p)/p) assuming p is positive.\n' | b'p**(258/17)\n' | deepmind/math_dataset |
b'Let c = 36 + -33. Let p(t) be the first derivative of -c*t - 3/2*t**2 - 4. Differentiate p(h) with respect to h.\n' | b'-3\n' | b'Let c = 36 + -33. Let p(t) be the first derivative of -c*t - 3/2*t**2 - 4. Differentiate p(h) with respect to h.\n' | b'-3\n' | deepmind/math_dataset |
b'Let g(y) be the third derivative of 5/3*y**3 - 1/12*y**4 + 0 + 7/60*y**5 + 0*y - 29*y**2 - 1/120*y**6. Give g(7).\n' | b'-4\n' | b'Let g(y) be the third derivative of 5/3*y**3 - 1/12*y**4 + 0 + 7/60*y**5 + 0*y - 29*y**2 - 1/120*y**6. Give g(7).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -0*x + 5*x + 40. Let s(k) = -4*k**3 - 7*k**2 + 5*k - 2. Let m(o) = -o**3 - o. Let t(c) = -3*m(c) + s(c). Give t(x).\n' | b'-2\n' | b'Suppose 0 = -0*x + 5*x + 40. Let s(k) = -4*k**3 - 7*k**2 + 5*k - 2. Let m(o) = -o**3 - o. Let t(c) = -3*m(c) + s(c). Give t(x).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((q**(1/2))**(2/3)/(q**(1/2)*(q/((q*q/(q/(q**(1/3)/q)))/q*q))/q))**(-10) assuming q is positive.\n' | b'q**(-5/3)\n' | b'Simplify ((q**(1/2))**(2/3)/(q**(1/2)*(q/((q*q/(q/(q**(1/3)/q)))/q*q))/q))**(-10) assuming q is positive.\n' | b'q**(-5/3)\n' | deepmind/math_dataset |
b'Suppose p + 194 - 159 = 0. Let q be 5/(-5)*p/7. Solve -5*j = -0*j + 5*v, -v = -q*j for j.\n' | b'0\n' | b'Suppose p + 194 - 159 = 0. Let q be 5/(-5)*p/7. Solve -5*j = -0*j + 5*v, -v = -q*j for j.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 p and 2 r when four letters picked without replacement from {k: 1, r: 6, p: 4}?\n' | b'3/11\n' | b'What is prob of picking 2 p and 2 r when four letters picked without replacement from {k: 1, r: 6, p: 4}?\n' | b'3/11\n' | deepmind/math_dataset |
b'What is the third derivative of 658*x**2 - 390*x**3 - 197*x**3 - 196*x**3 + 10*x**3 - x**5 - 90*x**3 wrt x?\n' | b'-60*x**2 - 5178\n' | b'What is the third derivative of 658*x**2 - 390*x**3 - 197*x**3 - 196*x**3 + 10*x**3 - x**5 - 90*x**3 wrt x?\n' | b'-60*x**2 - 5178\n' | deepmind/math_dataset |
b'Let d(c) be the third derivative of -19*c**9/252 - 7*c**5/60 - 2*c**3/3 + c**2 + 29*c. What is the third derivative of d(k) wrt k?\n' | b'-4560*k**3\n' | b'Let d(c) be the third derivative of -19*c**9/252 - 7*c**5/60 - 2*c**3/3 + c**2 + 29*c. What is the third derivative of d(k) wrt k?\n' | b'-4560*k**3\n' | deepmind/math_dataset |
b'Let l be (-25)/2*(0 + 2). Let m = 33 + l. Find the second derivative of 9*y - 8*y**2 - m*y - 12*y wrt y.\n' | b'-16\n' | b'Let l be (-25)/2*(0 + 2). Let m = 33 + l. Find the second derivative of 9*y - 8*y**2 - m*y - 12*y wrt y.\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify (a*a/a**(-11)*a*(((((a**(-14)/a)/a)/a)/a)/a)/a*a*a*a)**16 assuming a is positive.\n' | b'a**(-48)\n' | b'Simplify (a*a/a**(-11)*a*(((((a**(-14)/a)/a)/a)/a)/a)/a*a*a*a)**16 assuming a is positive.\n' | b'a**(-48)\n' | deepmind/math_dataset |
b'Simplify (z**(-13/5)/z**26*z**(3/5)/(z*(z/(z*z**(-22)))/z))**1 assuming z is positive.\n' | b'z**(-50)\n' | b'Simplify (z**(-13/5)/z**26*z**(3/5)/(z*(z/(z*z**(-22)))/z))**1 assuming z is positive.\n' | b'z**(-50)\n' | deepmind/math_dataset |
b'Calculate prob of sequence bzn when three letters picked without replacement from {v: 1, f: 1, b: 1, n: 1, z: 1}.\n' | b'1/60\n' | b'Calculate prob of sequence bzn when three letters picked without replacement from {v: 1, f: 1, b: 1, n: 1, z: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 2 f when three letters picked without replacement from {v: 6, e: 1, z: 1, f: 5, x: 1}?\n' | b'5/182\n' | b'What is prob of picking 1 e and 2 f when three letters picked without replacement from {v: 6, e: 1, z: 1, f: 5, x: 1}?\n' | b'5/182\n' | deepmind/math_dataset |
b'Calculate prob of sequence mm when two letters picked without replacement from {f: 4, m: 10}.\n' | b'45/91\n' | b'Calculate prob of sequence mm when two letters picked without replacement from {f: 4, m: 10}.\n' | b'45/91\n' | deepmind/math_dataset |
b'Simplify s*s/(s*((s*(s*s/s**(10/13)*s*s)/s)/s)/s)*s*s**(7/11) assuming s is positive.\n' | b's**(201/143)\n' | b'Simplify s*s/(s*((s*(s*s/s**(10/13)*s*s)/s)/s)/s)*s*s**(7/11) assuming s is positive.\n' | b's**(201/143)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ftffffftfffff. Give prob of sequence ttt.\n' | b'0\n' | b'Three letters picked without replacement from ftffffftfffff. Give prob of sequence ttt.\n' | b'0\n' | deepmind/math_dataset |
b'Let q be 5/(-10) - (-6)/4. Solve -3*m - p + 2 = 0, -m - 3 = -2*p + q for m.\n' | b'0\n' | b'Let q be 5/(-10) - (-6)/4. Solve -3*m - p + 2 = 0, -m - 3 = -2*p + q for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(t) be the third derivative of 0*t + 2/3*t**3 + 0 + 1/24*t**5 - 1/12*t**4 - 4*t**2. Let b(z) be the first derivative of u(z). What is b(2)?\n' | b'8\n' | b'Let u(t) be the third derivative of 0*t + 2/3*t**3 + 0 + 1/24*t**5 - 1/12*t**4 - 4*t**2. Let b(z) be the first derivative of u(z). What is b(2)?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 l when four letters picked without replacement from llll.\n' | b'1\n' | b'Calculate prob of picking 4 l when four letters picked without replacement from llll.\n' | b'1\n' | deepmind/math_dataset |
b'Let v be ((-10)/(15 - -15))/((-1)/12). Solve 4 + 2 = -s - 2*h, -h - 17 = v*s for s.\n' | b'-4\n' | b'Let v be ((-10)/(15 - -15))/((-1)/12). Solve 4 + 2 = -s - 2*h, -h - 17 = v*s for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(v) = v**3 + 5*v**2 - v - 8. Suppose 8*b = 354 - 354. Suppose b = d - 33 + 38. Calculate x(d).\n' | b'-3\n' | b'Let x(v) = v**3 + 5*v**2 - v - 8. Suppose 8*b = 354 - 354. Suppose b = d - 33 + 38. Calculate x(d).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify w**(-16)*w*w**(-4)/w*w*w**(-13)/(w/w**(8/11)) assuming w is positive.\n' | b'w**(-355/11)\n' | b'Simplify w**(-16)*w*w**(-4)/w*w*w**(-13)/(w/w**(8/11)) assuming w is positive.\n' | b'w**(-355/11)\n' | deepmind/math_dataset |
b'Let r = 0 - -4. Suppose 12*u - 15*u + 63 = 0. Suppose 3*i + 6 = u, -5*x - 4*i = -60. Solve -3*b + 16 = -5*q, r*b + 2 = 3*q - x*q for q.\n' | b'-2\n' | b'Let r = 0 - -4. Suppose 12*u - 15*u + 63 = 0. Suppose 3*i + 6 = u, -5*x - 4*i = -60. Solve -3*b + 16 = -5*q, r*b + 2 = 3*q - x*q for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(i) be the third derivative of 0 + 7/24*i**4 - 1/60*i**5 + 17/6*i**3 - 82*i**2 + 0*i. What is w(9)?\n' | b'-1\n' | b'Let w(i) be the third derivative of 0 + 7/24*i**4 - 1/60*i**5 + 17/6*i**3 - 82*i**2 + 0*i. What is w(9)?\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -3*j = -4*j + 3. Suppose -8*l + 15 = -j*l. Find the second derivative of 2*o**l - 2*o**3 + 8*o**5 + 6*o wrt o.\n' | b'160*o**3\n' | b'Suppose -3*j = -4*j + 3. Suppose -8*l + 15 = -j*l. Find the second derivative of 2*o**l - 2*o**3 + 8*o**5 + 6*o wrt o.\n' | b'160*o**3\n' | deepmind/math_dataset |
b'Let a(u) = -u**2 - 1. Let q(y) = -y**3 - y**2 + 6*y + 9. Let f be (20/(-25))/((-1)/(-5)). Let p(m) = f*a(m) - q(m). Determine p(-6).\n' | b'-5\n' | b'Let a(u) = -u**2 - 1. Let q(y) = -y**3 - y**2 + 6*y + 9. Let f be (20/(-25))/((-1)/(-5)). Let p(m) = f*a(m) - q(m). Determine p(-6).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 3*n - 5*n + 126 = -3*t, -3*t + 3*n - 129 = 0. Let k = -23 - t. Solve 0*x - 4*x - 16 = 0, d - 5*x - k = 0 for d.\n' | b'-3\n' | b'Suppose 3*n - 5*n + 126 = -3*t, -3*t + 3*n - 129 = 0. Let k = -23 - t. Solve 0*x - 4*x - 16 = 0, d - 5*x - k = 0 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f = -959 - -967. Solve f*t - 3*k = 6*t + 17, k = -5 for t.\n' | b'1\n' | b'Let f = -959 - -967. Solve f*t - 3*k = 6*t + 17, k = -5 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((t/t**(2/5))/t**6)/((t*t/(t/((t**(2/5)/t)/t)))/t**(-5))*(t**(-1))**15/((t**(-1)/t)/(t*t/(t**(1/11)/t))) assuming t is positive.\n' | b't**(-1094/55)\n' | b'Simplify ((t/t**(2/5))/t**6)/((t*t/(t/((t**(2/5)/t)/t)))/t**(-5))*(t**(-1))**15/((t**(-1)/t)/(t*t/(t**(1/11)/t))) assuming t is positive.\n' | b't**(-1094/55)\n' | deepmind/math_dataset |
b'Let u(l) = 2*l + 4 + 34*l**3 + 5*l**2 - 33*l**3 + 0*l. Let z = 33 + -20. Let f = z + -18. Give u(f).\n' | b'-6\n' | b'Let u(l) = 2*l + 4 + 34*l**3 + 5*l**2 - 33*l**3 + 0*l. Let z = 33 + -20. Let f = z + -18. Give u(f).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zflllfzfffjfzyzf. What is prob of picking 1 l, 1 y, 1 f, and 1 z?\n' | b'3/65\n' | b'Four letters picked without replacement from zflllfzfffjfzyzf. What is prob of picking 1 l, 1 y, 1 f, and 1 z?\n' | b'3/65\n' | deepmind/math_dataset |
b'Three letters picked without replacement from phhhmhhhmmhmhppppphh. What is prob of picking 1 p, 1 m, and 1 h?\n' | b'4/19\n' | b'Three letters picked without replacement from phhhmhhhmmhmhppppphh. What is prob of picking 1 p, 1 m, and 1 h?\n' | b'4/19\n' | deepmind/math_dataset |
b'Simplify ((o*o*o*o/(o/(o**13/o)))/(o*o*o**17))/(o*o**(2/15))**(-15/7) assuming o is positive.\n' | b'o**(-11/7)\n' | b'Simplify ((o*o*o*o/(o/(o**13/o)))/(o*o*o**17))/(o*o**(2/15))**(-15/7) assuming o is positive.\n' | b'o**(-11/7)\n' | deepmind/math_dataset |
b'Let d(o) be the second derivative of o**3/6 + 5*o**2/2 + 4*o. What is d(-3)?\n' | b'2\n' | b'Let d(o) be the second derivative of o**3/6 + 5*o**2/2 + 4*o. What is d(-3)?\n' | b'2\n' | deepmind/math_dataset |
b'Let v = 212 - 207. Solve v*y + 5*d - 8 + 3 = 0, 4*d = y + 19 for y.\n' | b'-3\n' | b'Let v = 212 - 207. Solve v*y + 5*d - 8 + 3 = 0, 4*d = y + 19 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the second derivative of -4*y - 95*y**5 + 86*y**5 - 4*y wrt y.\n' | b'-180*y**3\n' | b'Find the second derivative of -4*y - 95*y**5 + 86*y**5 - 4*y wrt y.\n' | b'-180*y**3\n' | deepmind/math_dataset |
b'What is prob of picking 3 f and 1 k when four letters picked without replacement from {k: 2, f: 17}?\n' | b'20/57\n' | b'What is prob of picking 3 f and 1 k when four letters picked without replacement from {k: 2, f: 17}?\n' | b'20/57\n' | deepmind/math_dataset |
b'Simplify (x**(4/3))**35*((x*x**(-2/21)/x*x)/x)**18 assuming x is positive.\n' | b'x**(944/21)\n' | b'Simplify (x**(4/3))**35*((x*x**(-2/21)/x*x)/x)**18 assuming x is positive.\n' | b'x**(944/21)\n' | deepmind/math_dataset |
b'What is the third derivative of 14 - i**2 - 8 + i**6 + 155*i**5 - 540*i - 8 + 227*i**5 + 2*i**3 wrt i?\n' | b'120*i**3 + 22920*i**2 + 12\n' | b'What is the third derivative of 14 - i**2 - 8 + i**6 + 155*i**5 - 540*i - 8 + 227*i**5 + 2*i**3 wrt i?\n' | b'120*i**3 + 22920*i**2 + 12\n' | deepmind/math_dataset |
b'Suppose 4*b - 3*b - 60 = -4*a, -5*b - 68 = -3*a. Solve -5*x - 4 = -29, m = 3*x - a for m.\n' | b'-1\n' | b'Suppose 4*b - 3*b - 60 = -4*a, -5*b - 68 = -3*a. Solve -5*x - 4 = -29, m = 3*x - a for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyooyy. What is prob of picking 2 y?\n' | b'2/5\n' | b'Two letters picked without replacement from yyooyy. What is prob of picking 2 y?\n' | b'2/5\n' | deepmind/math_dataset |
b'Let d(k) be the first derivative of -1649*k**6/3 - 5*k**2/2 - 888*k + 2147. What is the second derivative of d(t) wrt t?\n' | b'-65960*t**3\n' | b'Let d(k) be the first derivative of -1649*k**6/3 - 5*k**2/2 - 888*k + 2147. What is the second derivative of d(t) wrt t?\n' | b'-65960*t**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 2 q when three letters picked without replacement from jjjjqqbfb?\n' | b'1/84\n' | b'What is prob of picking 1 f and 2 q when three letters picked without replacement from jjjjqqbfb?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let f(x) = -4*x**2 - 5. Let l be f(3). Let s = l + 72. Differentiate 8 + 31*j + 0 + 9*j**2 - s*j wrt j.\n' | b'18*j\n' | b'Let f(x) = -4*x**2 - 5. Let l be f(3). Let s = l + 72. Differentiate 8 + 31*j + 0 + 9*j**2 - s*j wrt j.\n' | b'18*j\n' | deepmind/math_dataset |
b'Let a(y) = y**2 - 16*y - 7. Let s be a(18). Solve s = -5*n - 3*x, 4*x = n - 7 - 1 for n.\n' | b'-4\n' | b'Let a(y) = y**2 - 16*y - 7. Let s be a(18). Solve s = -5*n - 3*x, 4*x = n - 7 - 1 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(d) be the second derivative of -d**4/12 - 2*d**3/3 - 2*d**2 + 2*d. Let i be (-2)/((12/(-8))/(-3)). Calculate y(i).\n' | b'-4\n' | b'Let y(d) be the second derivative of -d**4/12 - 2*d**3/3 - 2*d**2 + 2*d. Let i be (-2)/((12/(-8))/(-3)). Calculate y(i).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*s - 5*h + 34 = 0, 2*s - h + 1 = 2. Let m(a) be the first derivative of 2 - 1/3*a**s + 1/4*a**4 + a - 3/2*a**2. Calculate m(2).\n' | b'-1\n' | b'Suppose -3*s - 5*h + 34 = 0, 2*s - h + 1 = 2. Let m(a) be the first derivative of 2 - 1/3*a**s + 1/4*a**4 + a - 3/2*a**2. Calculate m(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (h*h*h/((h/h**17)/h*h))/(h*(h*h**36*h)/h) assuming h is positive.\n' | b'h**(-19)\n' | b'Simplify (h*h*h/((h/h**17)/h*h))/(h*(h*h**36*h)/h) assuming h is positive.\n' | b'h**(-19)\n' | deepmind/math_dataset |
b'Suppose 3*f = 21, 4*i + 17*f - 30 = 15*f. Solve -i*y + 0*q + 4 = -4*q, -4*q = -2*y for y.\n' | b'2\n' | b'Suppose 3*f = 21, 4*i + 17*f - 30 = 15*f. Solve -i*y + 0*q + 4 = -4*q, -4*q = -2*y for y.\n' | b'2\n' | deepmind/math_dataset |
b'Let w be 6*65/(-5) + 4. Let o = -64 - w. Suppose 15*r = o*r + 15. Solve 2*y = -0*y - 3*a + 13, -2*a + 17 = r*y for y.\n' | b'5\n' | b'Let w be 6*65/(-5) + 4. Let o = -64 - w. Suppose 15*r = o*r + 15. Solve 2*y = -0*y - 3*a + 13, -2*a + 17 = r*y for y.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose x - 3*t = 29, 3*t + t + 6 = -x. Suppose 0*z + 5*z + 2*q = 17, 0 = 5*z - q - x. Solve z*d - b = 7, 0 = 3*d - 2*b + 3 - 5 for d.\n' | b'4\n' | b'Suppose x - 3*t = 29, 3*t + t + 6 = -x. Suppose 0*z + 5*z + 2*q = 17, 0 = 5*z - q - x. Solve z*d - b = 7, 0 = 3*d - 2*b + 3 - 5 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 17, c: 3}. What is prob of sequence sss?\n' | b'34/57\n' | b'Three letters picked without replacement from {s: 17, c: 3}. What is prob of sequence sss?\n' | b'34/57\n' | deepmind/math_dataset |
b'Let c(k) = -k**3 - k**2 + k - 1. Let w(b) = -19*b**6 - 5*b**3 - 32*b**2 + 5*b - 5. Let t(n) = 5*c(n) - w(n). Find the third derivative of t(s) wrt s.\n' | b'2280*s**3\n' | b'Let c(k) = -k**3 - k**2 + k - 1. Let w(b) = -19*b**6 - 5*b**3 - 32*b**2 + 5*b - 5. Let t(n) = 5*c(n) - w(n). Find the third derivative of t(s) wrt s.\n' | b'2280*s**3\n' | deepmind/math_dataset |
b'Simplify (f**1/(f**(-4)*f)*f/((f/(f*f**(-7)))/f)*f**(-6))**(-1/5) assuming f is positive.\n' | b'f**(7/5)\n' | b'Simplify (f**1/(f**(-4)*f)*f/((f/(f*f**(-7)))/f)*f**(-6))**(-1/5) assuming f is positive.\n' | b'f**(7/5)\n' | deepmind/math_dataset |
b'Simplify (p/p**0*p**(-2)*p)/(((p*p**(1/3)*p)/p)/(p*p*p**4/p*p)) assuming p is positive.\n' | b'p**(14/3)\n' | b'Simplify (p/p**0*p**(-2)*p)/(((p*p**(1/3)*p)/p)/(p*p*p**4/p*p)) assuming p is positive.\n' | b'p**(14/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjaaajaaaaj. Give prob of sequence aaja.\n' | b'7/66\n' | b'Four letters picked without replacement from jjaaajaaaaj. Give prob of sequence aaja.\n' | b'7/66\n' | deepmind/math_dataset |
b'What is prob of sequence nwvn when four letters picked without replacement from wnvvvnwvnvnvvn?\n' | b'5/429\n' | b'What is prob of sequence nwvn when four letters picked without replacement from wnvvvnwvnvnvvn?\n' | b'5/429\n' | deepmind/math_dataset |
b'Suppose -352 + 472 = 30*g. Solve -b = g*w - 6, 3*w - 5*b - 2 = 14 for w.\n' | b'2\n' | b'Suppose -352 + 472 = 30*g. Solve -b = g*w - 6, 3*w - 5*b - 2 = 14 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjcc when four letters picked without replacement from llcjllj.\n' | b'0\n' | b'Calculate prob of sequence jjcc when four letters picked without replacement from llcjllj.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify c**(6/11)/((c*c**(-4/3)/c*c)/c)*c**(-1)*c**12 assuming c is positive.\n' | b'c**(425/33)\n' | b'Simplify c**(6/11)/((c*c**(-4/3)/c*c)/c)*c**(-1)*c**12 assuming c is positive.\n' | b'c**(425/33)\n' | deepmind/math_dataset |
b'Simplify ((u*u**(-6)/u*u**3)/(u/u**(-2/9))**(3/23))**(-2/27) assuming u is positive.\n' | b'u**(436/1863)\n' | b'Simplify ((u*u**(-6)/u*u**3)/(u/u**(-2/9))**(3/23))**(-2/27) assuming u is positive.\n' | b'u**(436/1863)\n' | deepmind/math_dataset |
b'Let u(g) be the third derivative of -g**6/120 - g**5/5 - g**4/2 - 4*g**3/3 + g**2 + 669*g. Suppose 18 = -3*m + 3*v, m - 10 + 31 = -2*v. Calculate u(m).\n' | b'3\n' | b'Let u(g) be the third derivative of -g**6/120 - g**5/5 - g**4/2 - 4*g**3/3 + g**2 + 669*g. Suppose 18 = -3*m + 3*v, m - 10 + 31 = -2*v. Calculate u(m).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, t: 3, h: 1, m: 5, p: 5, k: 3}. Give prob of sequence tph.\n' | b'5/1632\n' | b'Three letters picked without replacement from {i: 1, t: 3, h: 1, m: 5, p: 5, k: 3}. Give prob of sequence tph.\n' | b'5/1632\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zssgsztssstzssxtxsgs. Give prob of sequence tts.\n' | b'1/114\n' | b'Three letters picked without replacement from zssgsztssstzssxtxsgs. Give prob of sequence tts.\n' | b'1/114\n' | deepmind/math_dataset |
b'Suppose -o + 0*o - 7 = -2*l, -2*l + 2*o = -10. Suppose 1 = q - l. What is the derivative of 8 - 1652*r + 1652*r - 3*r**q wrt r?\n' | b'-9*r**2\n' | b'Suppose -o + 0*o - 7 = -2*l, -2*l + 2*o = -10. Suppose 1 = q - l. What is the derivative of 8 - 1652*r + 1652*r - 3*r**q wrt r?\n' | b'-9*r**2\n' | deepmind/math_dataset |
b'Let s = 122 - 120. Solve 3*d - s*g = d + 8, 3*d + 3*g = 12 for d.\n' | b'4\n' | b'Let s = 122 - 120. Solve 3*d - s*g = d + 8, 3*d + 3*g = 12 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (r**(-1))**(-20)*(r/(r/(r**(-1)/r)))**(-49)*(r**1/(r/((r**(1/5)/r)/r*r)))**(-32) assuming r is positive.\n' | b'r**(718/5)\n' | b'Simplify (r**(-1))**(-20)*(r/(r/(r**(-1)/r)))**(-49)*(r**1/(r/((r**(1/5)/r)/r*r)))**(-32) assuming r is positive.\n' | b'r**(718/5)\n' | deepmind/math_dataset |
b'Let l(k) = k**3 - k**2 - 2*k + 2. Let p be l(1). Let u(f) = -294 + p*f + 287 + f. What is u(5)?\n' | b'-2\n' | b'Let l(k) = k**3 - k**2 - 2*k + 2. Let p be l(1). Let u(f) = -294 + p*f + 287 + f. What is u(5)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let v(c) = -151*c**5 + 4*c**4 - 2*c + 3. Let b(k) = -150*k**5 + 5*k**4 - 3*k + 1. Let a(n) = 4*b(n) - 5*v(n). What is the second derivative of a(y) wrt y?\n' | b'3100*y**3\n' | b'Let v(c) = -151*c**5 + 4*c**4 - 2*c + 3. Let b(k) = -150*k**5 + 5*k**4 - 3*k + 1. Let a(n) = 4*b(n) - 5*v(n). What is the second derivative of a(y) wrt y?\n' | b'3100*y**3\n' | deepmind/math_dataset |
b'Let y(i) = 71*i**3 - 4*i - 3 - 3*i**2 + i**2 - 72*i**3 + 8*i**2. Let c be y(5). Solve 0 = -4*l - c*w - 8, -2*w + 3 + 1 = -2*l for l.\n' | b'-2\n' | b'Let y(i) = 71*i**3 - 4*i - 3 - 3*i**2 + i**2 - 72*i**3 + 8*i**2. Let c be y(5). Solve 0 = -4*l - c*w - 8, -2*w + 3 + 1 = -2*l for l.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of -36*y - y**2 + 16*y - 179 - 2140*y**3 + 21*y + y**2 wrt y?\n' | b'-12840*y\n' | b'What is the second derivative of -36*y - y**2 + 16*y - 179 - 2140*y**3 + 21*y + y**2 wrt y?\n' | b'-12840*y\n' | deepmind/math_dataset |
b'Let g(m) = -6*m. Let r be g(-1). Let x(q) = 14*q**2 - 12*q - 29. Let l(o) = -5*o**2 + 4*o + 10. Let j(h) = 11*l(h) + 4*x(h). Give j(r).\n' | b'6\n' | b'Let g(m) = -6*m. Let r be g(-1). Let x(q) = 14*q**2 - 12*q - 29. Let l(o) = -5*o**2 + 4*o + 10. Let j(h) = 11*l(h) + 4*x(h). Give j(r).\n' | b'6\n' | deepmind/math_dataset |
b'Let b(c) = 6*c - 3. Suppose 12*u - 531 = 93. Let d = u + -54. Give b(d).\n' | b'-15\n' | b'Let b(c) = 6*c - 3. Suppose 12*u - 531 = 93. Let d = u + -54. Give b(d).\n' | b'-15\n' | deepmind/math_dataset |
b'Let i be -4*(0 + (-27)/36). Solve -z - i*z - 3*v = -5, -z + v - 4 = 0 for z.\n' | b'-1\n' | b'Let i be -4*(0 + (-27)/36). Solve -z - i*z - 3*v = -5, -z + v - 4 = 0 for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c(k) = 3*k + 11*k**2 - 27*k**2 + 21*k**2 - 2. Let a be 8 + (-5 - 2) + 0. Calculate c(a).\n' | b'6\n' | b'Let c(k) = 3*k + 11*k**2 - 27*k**2 + 21*k**2 - 2. Let a be 8 + (-5 - 2) + 0. Calculate c(a).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -5*q = x - 4, 5 = x + 1. Let b(t) be the third derivative of -2*t**2 + 0*t + 1/6*t**4 + 1/3*t**3 + q. What is the derivative of b(v) wrt v?\n' | b'4\n' | b'Suppose -5*q = x - 4, 5 = x + 1. Let b(t) be the third derivative of -2*t**2 + 0*t + 1/6*t**4 + 1/3*t**3 + q. What is the derivative of b(v) wrt v?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (q**(-5)*q**(4/3)*q**(-1/3)*q*(q**(-3/5)/q*q)/q)/(q**(3/5)/(q/(q/(q/q**(1/2)*q)*q))*(q**(-1))**(-49)) assuming q is positive.\n' | b'q**(-537/10)\n' | b'Simplify (q**(-5)*q**(4/3)*q**(-1/3)*q*(q**(-3/5)/q*q)/q)/(q**(3/5)/(q/(q/(q/q**(1/2)*q)*q))*(q**(-1))**(-49)) assuming q is positive.\n' | b'q**(-537/10)\n' | deepmind/math_dataset |
b'Simplify (z**(-8/5)*(z*z*z**10)/z)/(z*(z*z**(-6))/z)**23 assuming z is positive.\n' | b'z**(622/5)\n' | b'Simplify (z**(-8/5)*(z*z*z**10)/z)/(z*(z*z**(-6))/z)**23 assuming z is positive.\n' | b'z**(622/5)\n' | deepmind/math_dataset |
b'Let g(q) = -q**3 - 27*q**2 - 5. Let r(h) = 14*h**2 + 2. Let m(s) = -2*g(s) - 5*r(s). What is the third derivative of m(y) wrt y?\n' | b'12\n' | b'Let g(q) = -q**3 - 27*q**2 - 5. Let r(h) = 14*h**2 + 2. Let m(s) = -2*g(s) - 5*r(s). What is the third derivative of m(y) wrt y?\n' | b'12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjjjsjjjjjsjjjjjjj. Give prob of sequence jjj.\n' | b'35/51\n' | b'Three letters picked without replacement from jjjjsjjjjjsjjjjjjj. Give prob of sequence jjj.\n' | b'35/51\n' | deepmind/math_dataset |
b'Suppose 0 = 288*h - 51*h. Solve h = -4*y + n + 16, -6*y + 9*y = n + 11 for y.\n' | b'5\n' | b'Suppose 0 = 288*h - 51*h. Solve h = -4*y + n + 16, -6*y + 9*y = n + 11 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(a) = -3*a**3 - 14*a**2. Let l(m) = -2*m**3 - 7*m**2. Let r be 8/20 - 148/20. Let p(s) = r*l(s) + 4*b(s). Find the third derivative of p(h) wrt h.\n' | b'12\n' | b'Let b(a) = -3*a**3 - 14*a**2. Let l(m) = -2*m**3 - 7*m**2. Let r be 8/20 - 148/20. Let p(s) = r*l(s) + 4*b(s). Find the third derivative of p(h) wrt h.\n' | b'12\n' | deepmind/math_dataset |
b'Let x(f) = -f**3 + 6*f**2 - 4*f - 4. Let q be x(5). Suppose 0 = 9*u - 17 - q. Solve 0 = 4*a - 6*j + u*j - 4, -2*a + 22 = 3*j for a.\n' | b'5\n' | b'Let x(f) = -f**3 + 6*f**2 - 4*f - 4. Let q be x(5). Suppose 0 = 9*u - 17 - q. Solve 0 = 4*a - 6*j + u*j - 4, -2*a + 22 = 3*j for a.\n' | b'5\n' | deepmind/math_dataset |
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