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 t = 213 + -65. What is the second derivative of -2 + 147*i + 2 - t*i**4 + 237*i**4 wrt i?\n' | b'1068*i**2\n' | b'Let t = 213 + -65. What is the second derivative of -2 + 147*i + 2 - t*i**4 + 237*i**4 wrt i?\n' | b'1068*i**2\n' | deepmind/math_dataset |
b'Let x = -41 + 48. Find the first derivative of 2 - x*w**3 + 14 + w**3 wrt w.\n' | b'-18*w**2\n' | b'Let x = -41 + 48. Find the first derivative of 2 - x*w**3 + 14 + w**3 wrt w.\n' | b'-18*w**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 m when two letters picked without replacement from akmpmmakkkammmaaa.\n' | b'3/68\n' | b'Calculate prob of picking 1 p and 1 m when two letters picked without replacement from akmpmmakkkammmaaa.\n' | b'3/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 6, w: 1, e: 1, b: 1}. Give prob of sequence wwww.\n' | b'0\n' | b'Four letters picked without replacement from {k: 6, w: 1, e: 1, b: 1}. Give prob of sequence wwww.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((d**(-7)*d*d**(-9))/((d**(4/3)*d)/d**(-2/3)))/(d**(5/6)/d*(d**(-6)/d)/d)**16 assuming d is positive.\n' | b'd**(338/3)\n' | b'Simplify ((d**(-7)*d*d**(-9))/((d**(4/3)*d)/d**(-2/3)))/(d**(5/6)/d*(d**(-6)/d)/d)**16 assuming d is positive.\n' | b'd**(338/3)\n' | deepmind/math_dataset |
b'Suppose -5*g - 1 = -6*g. Let l(a) = 4*a - 2. Let i be l(g). Suppose -3*w - 15 = 3*q - 27, -5*q + 14 = 3*w. Solve r = -3*r, -z - i*r = w for z.\n' | b'-3\n' | b'Suppose -5*g - 1 = -6*g. Let l(a) = 4*a - 2. Let i be l(g). Suppose -3*w - 15 = 3*q - 27, -5*q + 14 = 3*w. Solve r = -3*r, -z - i*r = w for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(v) be the first derivative of -v**4/4 + 6. Let q(b) = b**4 - 2*b**3 + 12. Let f(u) = q(u) - 2*y(u). Differentiate f(h) wrt h.\n' | b'4*h**3\n' | b'Let y(v) be the first derivative of -v**4/4 + 6. Let q(b) = b**4 - 2*b**3 + 12. Let f(u) = q(u) - 2*y(u). Differentiate f(h) wrt h.\n' | b'4*h**3\n' | deepmind/math_dataset |
b'Let f(u) = 6*u**2 - 9*u + 3. Let j(h) be the first derivative of h**3 - 2*h**2 + h + 1. Let v(q) = -4*f(q) + 9*j(q). Differentiate v(y) with respect to y.\n' | b'6*y\n' | b'Let f(u) = 6*u**2 - 9*u + 3. Let j(h) be the first derivative of h**3 - 2*h**2 + h + 1. Let v(q) = -4*f(q) + 9*j(q). Differentiate v(y) with respect to y.\n' | b'6*y\n' | deepmind/math_dataset |
b'Let a be ((-5)/(-4))/((-27)/(-12) - 2). Let l be (-2)/(-5) - 416/(-10). Let d be l/4 - (-3)/(-6). Solve -3*f - y = 3*y + 11, -a*f - d = 5*y for f.\n' | b'3\n' | b'Let a be ((-5)/(-4))/((-27)/(-12) - 2). Let l be (-2)/(-5) - 416/(-10). Let d be l/4 - (-3)/(-6). Solve -3*f - y = 3*y + 11, -a*f - d = 5*y for f.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 6 = -2*i + 76. Suppose -6 = -i*j + 37*j. Let t(z) = -3*z. Give t(j).\n' | b'9\n' | b'Suppose 6 = -2*i + 76. Suppose -6 = -i*j + 37*j. Let t(z) = -3*z. Give t(j).\n' | b'9\n' | deepmind/math_dataset |
b'Let v(s) = -s**2 - s + 1. Let y = 15 - 18. Let p(q) = 8 + 0*q**2 + 2*q**2 + 0*q - 2*q - 4*q**2. Let g(x) = y*v(x) + p(x). Calculate g(0).\n' | b'5\n' | b'Let v(s) = -s**2 - s + 1. Let y = 15 - 18. Let p(q) = 8 + 0*q**2 + 2*q**2 + 0*q - 2*q - 4*q**2. Let g(x) = y*v(x) + p(x). Calculate g(0).\n' | b'5\n' | deepmind/math_dataset |
b'Let n(z) = z + 2. Let p be n(0). Suppose -p = 2*w - 6. Let a(g) be the second derivative of g**5/20 - g**4/6 - 2*g**3/3 + 3*g**2/2 - 9*g. Give a(w).\n' | b'-5\n' | b'Let n(z) = z + 2. Let p be n(0). Suppose -p = 2*w - 6. Let a(g) be the second derivative of g**5/20 - g**4/6 - 2*g**3/3 + 3*g**2/2 - 9*g. Give a(w).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u and 2 a when four letters picked without replacement from {a: 2, u: 11}.\n' | b'1/13\n' | b'Calculate prob of picking 2 u and 2 a when four letters picked without replacement from {a: 2, u: 11}.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let j(a) be the third derivative of -a**6/120 - a**5/10 - a**4/8 - 4*a**3/3 + a**2. Let i be j(-6). Solve l = -5*q - i, -l - 3*q - 4 - 4 = 0 for l.\n' | b'-5\n' | b'Let j(a) be the third derivative of -a**6/120 - a**5/10 - a**4/8 - 4*a**3/3 + a**2. Let i be j(-6). Solve l = -5*q - i, -l - 3*q - 4 - 4 = 0 for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let a be 4/18 - 129/(-27). Let v be (-9)/(-45) - (-19)/a. Solve -3*u - v*m + 0*m = -3, -2*m - 11 = -u for u.\n' | b'5\n' | b'Let a be 4/18 - 129/(-27). Let v be (-9)/(-45) - (-19)/a. Solve -3*u - v*m + 0*m = -3, -2*m - 11 = -u for u.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -3*u - 3*w = 0, 4*u + 5*w + 3 = 1. Let z(y) = 2 - u*y + 0*y - 2*y + 2*y. Give z(3).\n' | b'-4\n' | b'Suppose -3*u - 3*w = 0, 4*u + 5*w + 3 = 1. Let z(y) = 2 - u*y + 0*y - 2*y + 2*y. Give z(3).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence cccc when four letters picked without replacement from {c: 10}?\n' | b'1\n' | b'What is prob of sequence cccc when four letters picked without replacement from {c: 10}?\n' | b'1\n' | deepmind/math_dataset |
b'Let z = 11 - 6. Solve -27 = z*a + 4*u + 1, u + 6 = -a for a.\n' | b'-4\n' | b'Let z = 11 - 6. Solve -27 = z*a + 4*u + 1, u + 6 = -a for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wxwiwwwiwwwwwwwww. Give prob of picking 4 w.\n' | b'143/340\n' | b'Four letters picked without replacement from wxwiwwwiwwwwwwwww. Give prob of picking 4 w.\n' | b'143/340\n' | deepmind/math_dataset |
b'Let l = -21 - -24. What is the second derivative of 5*g - 4*g**3 - 50*g**2 + 50*g**2 + 8*g**l wrt g?\n' | b'24*g\n' | b'Let l = -21 - -24. What is the second derivative of 5*g - 4*g**3 - 50*g**2 + 50*g**2 + 8*g**l wrt g?\n' | b'24*g\n' | deepmind/math_dataset |
b'Let o(n) = n**3 + 6*n**2 - n - 2. Let a be o(-6). Suppose -4 = -a*m + 3*m - p, 5*m = -2*p + 17. Let k(s) = 10*s**2 - 3*s - m - 11*s**2 - 3*s. Determine k(-6).\n' | b'-3\n' | b'Let o(n) = n**3 + 6*n**2 - n - 2. Let a be o(-6). Suppose -4 = -a*m + 3*m - p, 5*m = -2*p + 17. Let k(s) = 10*s**2 - 3*s - m - 11*s**2 - 3*s. Determine k(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(n) = -13 + n**3 + 5 - 3 + 0 + 7*n**2 - 8*n. Suppose 32 = -4*w - 4*k, -40 = 5*w + 19*k - 16*k. What is j(w)?\n' | b'-11\n' | b'Let j(n) = -13 + n**3 + 5 - 3 + 0 + 7*n**2 - 8*n. Suppose 32 = -4*w - 4*k, -40 = 5*w + 19*k - 16*k. What is j(w)?\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose -94 + 226 = -22*t. Let a(z) be the second derivative of z**4/12 + z**3/2 - 3*z**2 + 3*z. Determine a(t).\n' | b'12\n' | b'Suppose -94 + 226 = -22*t. Let a(z) be the second derivative of z**4/12 + z**3/2 - 3*z**2 + 3*z. Determine a(t).\n' | b'12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cxjibbvxxjj. Give prob of sequence bvbj.\n' | b'1/1320\n' | b'Four letters picked without replacement from cxjibbvxxjj. Give prob of sequence bvbj.\n' | b'1/1320\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhshhhhzh. Give prob of picking 1 h and 1 z.\n' | b'7/36\n' | b'Two letters picked without replacement from hhshhhhzh. Give prob of picking 1 h and 1 z.\n' | b'7/36\n' | deepmind/math_dataset |
b'Let v(x) = -x**3 - 4*x**2 + x + 4. Let d be v(-4). What is the third derivative of -w**2 - w**5 + d*w**5 + 4*w**5 + 5*w**2 wrt w?\n' | b'180*w**2\n' | b'Let v(x) = -x**3 - 4*x**2 + x + 4. Let d be v(-4). What is the third derivative of -w**2 - w**5 + d*w**5 + 4*w**5 + 5*w**2 wrt w?\n' | b'180*w**2\n' | deepmind/math_dataset |
b'Let x(l) be the second derivative of -9*l**7/7 - l**6/30 + 32*l**3/3 + 106*l + 1. What is the second derivative of x(n) wrt n?\n' | b'-1080*n**3 - 12*n**2\n' | b'Let x(l) be the second derivative of -9*l**7/7 - l**6/30 + 32*l**3/3 + 106*l + 1. What is the second derivative of x(n) wrt n?\n' | b'-1080*n**3 - 12*n**2\n' | deepmind/math_dataset |
b'What is prob of sequence ssw when three letters picked without replacement from ssswssswssw?\n' | b'28/165\n' | b'What is prob of sequence ssw when three letters picked without replacement from ssswssswssw?\n' | b'28/165\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 j when two letters picked without replacement from {j: 2, c: 4, b: 7, p: 5}?\n' | b'8/153\n' | b'What is prob of picking 1 c and 1 j when two letters picked without replacement from {j: 2, c: 4, b: 7, p: 5}?\n' | b'8/153\n' | deepmind/math_dataset |
b'Simplify ((k**(-1))**(-48))**(-7) assuming k is positive.\n' | b'k**(-336)\n' | b'Simplify ((k**(-1))**(-48))**(-7) assuming k is positive.\n' | b'k**(-336)\n' | deepmind/math_dataset |
b'Suppose -g + 3*g - 6 = 0. Let r = 5 - g. Let z(x) = x + 1. Let j(c) = c**2 - 4*c - 1. Let n(f) = r*z(f) + j(f). Calculate n(1).\n' | b'0\n' | b'Suppose -g + 3*g - 6 = 0. Let r = 5 - g. Let z(x) = x + 1. Let j(c) = c**2 - 4*c - 1. Let n(f) = r*z(f) + j(f). Calculate n(1).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhhhhphhhhhhhhphhh. What is prob of picking 2 h?\n' | b'40/51\n' | b'Two letters picked without replacement from hhhhhphhhhhhhhphhh. What is prob of picking 2 h?\n' | b'40/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mcjmjcjydqjdyqyj. What is prob of picking 2 y and 1 c?\n' | b'3/280\n' | b'Three letters picked without replacement from mcjmjcjydqjdyqyj. What is prob of picking 2 y and 1 c?\n' | b'3/280\n' | deepmind/math_dataset |
b'Let o(x) = 3*x + 2. Let r(z) = -4 + z**2 + 3 + 3. Let c be r(0). Suppose 5*a = 3*k - 24, 0 = -5*a + c*k - 0*k - 21. Determine o(a).\n' | b'-7\n' | b'Let o(x) = 3*x + 2. Let r(z) = -4 + z**2 + 3 + 3. Let c be r(0). Suppose 5*a = 3*k - 24, 0 = -5*a + c*k - 0*k - 21. Determine o(a).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (g*(g**(-1/11)/g)/g)**(15/4) assuming g is positive.\n' | b'g**(-45/11)\n' | b'Simplify (g*(g**(-1/11)/g)/g)**(15/4) assuming g is positive.\n' | b'g**(-45/11)\n' | deepmind/math_dataset |
b'Let s(w) = w**3 + 7*w**2 + 6*w + 4. Let t be s(-6). Differentiate -j**2 + j**2 - j**t - 2 wrt j.\n' | b'-4*j**3\n' | b'Let s(w) = w**3 + 7*w**2 + 6*w + 4. Let t be s(-6). Differentiate -j**2 + j**2 - j**t - 2 wrt j.\n' | b'-4*j**3\n' | deepmind/math_dataset |
b'Let n = 12 + -7. Let g(u) be the second derivative of -7*u**3/2 - 5*u**2 - 3*u + 14. Let s be g(-1). Solve -20 = -4*y, -n*y - s = -f - 37 for f.\n' | b'-1\n' | b'Let n = 12 + -7. Let g(u) be the second derivative of -7*u**3/2 - 5*u**2 - 3*u + 14. Let s be g(-1). Solve -20 = -4*y, -n*y - s = -f - 37 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (u**(-1/11))**(-2/115)*(u/(u**(-1/11)/u))/u**0 assuming u is positive.\n' | b'u**(2647/1265)\n' | b'Simplify (u**(-1/11))**(-2/115)*(u/(u**(-1/11)/u))/u**0 assuming u is positive.\n' | b'u**(2647/1265)\n' | deepmind/math_dataset |
b'Let l = -55 + 71. Let w = l - 1. Solve 5*j = 5*y + w, 0*j + 2*j + 4*y = 6 for j.\n' | b'3\n' | b'Let l = -55 + 71. Let w = l - 1. Solve 5*j = 5*y + w, 0*j + 2*j + 4*y = 6 for j.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssrljllrlxglj. Give prob of sequence sr.\n' | b'1/39\n' | b'Two letters picked without replacement from ssrljllrlxglj. Give prob of sequence sr.\n' | b'1/39\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 o when four letters picked without replacement from ppopopppopoppp.\n' | b'1/1001\n' | b'Calculate prob of picking 4 o when four letters picked without replacement from ppopopppopoppp.\n' | b'1/1001\n' | deepmind/math_dataset |
b'Let v(r) be the second derivative of 0 + 1/2*r**2 + 1/6*r**4 + 2/3*r**3 + 8*r. What is v(-3)?\n' | b'7\n' | b'Let v(r) be the second derivative of 0 + 1/2*r**2 + 1/6*r**4 + 2/3*r**3 + 8*r. What is v(-3)?\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnnnnnbnbn. What is prob of sequence nbb?\n' | b'1/55\n' | b'Three letters picked without replacement from nnnnnnnbnbn. What is prob of sequence nbb?\n' | b'1/55\n' | deepmind/math_dataset |
b'What is the first derivative of 8 - 15*w - 23*w - 92 - 24*w wrt w?\n' | b'-62\n' | b'What is the first derivative of 8 - 15*w - 23*w - 92 - 24*w wrt w?\n' | b'-62\n' | deepmind/math_dataset |
b'Calculate prob of sequence wi when two letters picked without replacement from zzwziiiii.\n' | b'5/72\n' | b'Calculate prob of sequence wi when two letters picked without replacement from zzwziiiii.\n' | b'5/72\n' | deepmind/math_dataset |
b'Let n(m) = m**3 - 4*m**2 - 7*m - 11. Let i be n(6). Solve 4*p + 31 = -5*v, 0 = 2*v + 4*p + i + 3 for v.\n' | b'-3\n' | b'Let n(m) = m**3 - 4*m**2 - 7*m - 11. Let i be n(6). Solve 4*p + 31 = -5*v, 0 = 2*v + 4*p + i + 3 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(z) = 5*z + 20. Let f be m(-8). Let g = -2 - f. Suppose -8 - g = -2*s. Solve 6*r - s = t + 2*r, 8 = 4*t - r for t.\n' | b'3\n' | b'Let m(z) = 5*z + 20. Let f be m(-8). Let g = -2 - f. Suppose -8 - g = -2*s. Solve 6*r - s = t + 2*r, 8 = 4*t - r for t.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (v/v**(19/5)*v**25/v)**(-41) assuming v is positive.\n' | b'v**(-4346/5)\n' | b'Simplify (v/v**(19/5)*v**25/v)**(-41) assuming v is positive.\n' | b'v**(-4346/5)\n' | deepmind/math_dataset |
b'Calculate prob of sequence pc when two letters picked without replacement from {p: 6, c: 3, r: 1, x: 5}.\n' | b'3/35\n' | b'Calculate prob of sequence pc when two letters picked without replacement from {p: 6, c: 3, r: 1, x: 5}.\n' | b'3/35\n' | deepmind/math_dataset |
b'Suppose 19 - 19 = -8*i. Suppose -5*q + 18 = -9*c + 13*c, i = -5*q + 3*c + 4. Solve -q*s - 6 = r, -3*s - 6 = -5*r + 3 for r.\n' | b'0\n' | b'Suppose 19 - 19 = -8*i. Suppose -5*q + 18 = -9*c + 13*c, i = -5*q + 3*c + 4. Solve -q*s - 6 = r, -3*s - 6 = -5*r + 3 for r.\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of 4*l**4 + 25*l**2 - 6*l**2 - 14*l**2 - 10*l**4 wrt l?\n' | b'-144*l\n' | b'What is the third derivative of 4*l**4 + 25*l**2 - 6*l**2 - 14*l**2 - 10*l**4 wrt l?\n' | b'-144*l\n' | deepmind/math_dataset |
b'Simplify ((l/l**1)/(l*l**(2/29)*l))**(-3/13) assuming l is positive.\n' | b'l**(180/377)\n' | b'Simplify ((l/l**1)/(l*l**(2/29)*l))**(-3/13) assuming l is positive.\n' | b'l**(180/377)\n' | deepmind/math_dataset |
b'Let r(s) be the first derivative of s**3/3 - s**2 - 10*s + 197. Determine r(0).\n' | b'-10\n' | b'Let r(s) be the first derivative of s**3/3 - s**2 - 10*s + 197. Determine r(0).\n' | b'-10\n' | deepmind/math_dataset |
b'Let d(u) = 3*u + 0*u + 4*u - 4*u. Calculate d(7).\n' | b'21\n' | b'Let d(u) = 3*u + 0*u + 4*u - 4*u. Calculate d(7).\n' | b'21\n' | deepmind/math_dataset |
b'Simplify (h/h**(-1))/h**(-1/3)*h/h**1*h/(h*h**(-2/9)/h) assuming h is positive.\n' | b'h**(32/9)\n' | b'Simplify (h/h**(-1))/h**(-1/3)*h/h**1*h/(h*h**(-2/9)/h) assuming h is positive.\n' | b'h**(32/9)\n' | deepmind/math_dataset |
b'Simplify l/(l*l*l**(-1/34))*l**(-6)*((l/(l/(((l*l*l**2)/l)/l)))/l)**(7/6) assuming l is positive.\n' | b'l**(-296/51)\n' | b'Simplify l/(l*l*l**(-1/34))*l**(-6)*((l/(l/(((l*l*l**2)/l)/l)))/l)**(7/6) assuming l is positive.\n' | b'l**(-296/51)\n' | deepmind/math_dataset |
b'Simplify (y**(1/3)*y)**(13/3)/(y/(y*y/y**(-1/6)))**27 assuming y is positive.\n' | b'y**(671/18)\n' | b'Simplify (y**(1/3)*y)**(13/3)/(y/(y*y/y**(-1/6)))**27 assuming y is positive.\n' | b'y**(671/18)\n' | deepmind/math_dataset |
b'Suppose 0 = 4*m + b + 467, 8 + 2 = 2*b. Let f = m - -33. Let n = -83 - f. Solve -3*r - 4*s = -4, -5*r + n*s = -s + 32 for r.\n' | b'-4\n' | b'Suppose 0 = 4*m + b + 467, 8 + 2 = 2*b. Let f = m - -33. Let n = -83 - f. Solve -3*r - 4*s = -4, -5*r + n*s = -s + 32 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z(s) be the first derivative of -s**4/4 + 7*s**3/3 + 6*s**2 - 10*s + 322. Calculate z(8).\n' | b'22\n' | b'Let z(s) be the first derivative of -s**4/4 + 7*s**3/3 + 6*s**2 - 10*s + 322. Calculate z(8).\n' | b'22\n' | deepmind/math_dataset |
b'Let j(r) be the first derivative of -r**3/3 + r + 1. Let a be j(-1). Solve -3*t + 3*s + 24 = 0, 3*t - 7*t - 3*s + 11 = a for t.\n' | b'5\n' | b'Let j(r) be the first derivative of -r**3/3 + r + 1. Let a be j(-1). Solve -3*t + 3*s + 24 = 0, 3*t - 7*t - 3*s + 11 = a for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let t = -15 - -34. Let r = 70 - t. What is the derivative of -12 + 13*k**2 + r - k**3 + 2 + 5 wrt k?\n' | b'-3*k**2 + 26*k\n' | b'Let t = -15 - -34. Let r = 70 - t. What is the derivative of -12 + 13*k**2 + r - k**3 + 2 + 5 wrt k?\n' | b'-3*k**2 + 26*k\n' | deepmind/math_dataset |
b'Let l(r) = -2*r - 5. Let m(f) = 4*f + 17. Let n be m(-3). Suppose 0 = -5*q + n, -2*q = 4*d - 5*d - 6. What is l(d)?\n' | b'3\n' | b'Let l(r) = -2*r - 5. Let m(f) = 4*f + 17. Let n be m(-3). Suppose 0 = -5*q + n, -2*q = 4*d - 5*d - 6. What is l(d)?\n' | b'3\n' | deepmind/math_dataset |
b'Let l(x) be the first derivative of 5*x**6/2 - 13*x**2/2 + 8. Find the second derivative of l(r) wrt r.\n' | b'300*r**3\n' | b'Let l(x) be the first derivative of 5*x**6/2 - 13*x**2/2 + 8. Find the second derivative of l(r) wrt r.\n' | b'300*r**3\n' | deepmind/math_dataset |
b'Let u be -2*1*(-4)/8. Let f be 2 - u*(-6)/2. Find the second derivative of 9*v**3 + v + f*v - 10*v**3 wrt v.\n' | b'-6*v\n' | b'Let u be -2*1*(-4)/8. Let f be 2 - u*(-6)/2. Find the second derivative of 9*v**3 + v + f*v - 10*v**3 wrt v.\n' | b'-6*v\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, w: 2, r: 1, j: 1, f: 1, g: 1}. Give prob of picking 1 b and 1 r.\n' | b'1/21\n' | b'Two letters picked without replacement from {b: 1, w: 2, r: 1, j: 1, f: 1, g: 1}. Give prob of picking 1 b and 1 r.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let t(i) = i**3 - i**2 - 4*i - 2. Suppose 13*c = 6*c - 11*c. What is t(c)?\n' | b'-2\n' | b'Let t(i) = i**3 - i**2 - 4*i - 2. Suppose 13*c = 6*c - 11*c. What is t(c)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (b/((b**(-2/9)*b)/b))/(b*b/b**(-2/19)*b*b*b) assuming b is positive.\n' | b'b**(-664/171)\n' | b'Simplify (b/((b**(-2/9)*b)/b))/(b*b/b**(-2/19)*b*b*b) assuming b is positive.\n' | b'b**(-664/171)\n' | deepmind/math_dataset |
b'Let p(o) be the third derivative of 1/30*o**5 - 5*o**2 + 0*o + 5/24*o**4 + 0*o**3 + 0. What is the second derivative of p(z) wrt z?\n' | b'4\n' | b'Let p(o) be the third derivative of 1/30*o**5 - 5*o**2 + 0*o + 5/24*o**4 + 0*o**3 + 0. What is the second derivative of p(z) wrt z?\n' | b'4\n' | deepmind/math_dataset |
b'Let j(q) = q - 5 - 9*q + 9. Let w = 7 + -2. Let d(y) = 15*y - 7. Let g(c) = w*j(c) + 3*d(c). Find the first derivative of g(b) wrt b.\n' | b'5\n' | b'Let j(q) = q - 5 - 9*q + 9. Let w = 7 + -2. Let d(y) = 15*y - 7. Let g(c) = w*j(c) + 3*d(c). Find the first derivative of g(b) wrt b.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (i/(i*i*i/(i**(-1/4)/i*i)*i))**50*i**(-1/4)*i/i**6*i assuming i is positive.\n' | b'i**(-667/4)\n' | b'Simplify (i/(i*i*i/(i**(-1/4)/i*i)*i))**50*i**(-1/4)*i/i**6*i assuming i is positive.\n' | b'i**(-667/4)\n' | deepmind/math_dataset |
b'Simplify ((a*a/(a*a*a**1)*a)/a)**(-7) assuming a is positive.\n' | b'a**7\n' | b'Simplify ((a*a/(a*a*a**1)*a)/a)**(-7) assuming a is positive.\n' | b'a**7\n' | deepmind/math_dataset |
b'Let p be (-19)/76 + 27/12. Solve 2*s = -5*a + p, 3*s - a - 3 = a for s.\n' | b'1\n' | b'Let p be (-19)/76 + 27/12. Solve 2*s = -5*a + p, 3*s - a - 3 = a for s.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lkkqzra. What is prob of sequence lqrk?\n' | b'1/420\n' | b'Four letters picked without replacement from lkkqzra. What is prob of sequence lqrk?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let i = -262 - -266. What is the third derivative of -12*k**5 + 10*k**2 - 27*k**5 + i*k**2 wrt k?\n' | b'-2340*k**2\n' | b'Let i = -262 - -266. What is the third derivative of -12*k**5 + 10*k**2 - 27*k**5 + i*k**2 wrt k?\n' | b'-2340*k**2\n' | deepmind/math_dataset |
b'Suppose 53 = 5*s - 5*h - 87, 4*s - h = 121. Let j be (-30 + s)*(1 + -3 - -19). Solve 0*v = 3*v - 2*g + j, -5*v - 3*g - 22 = 0 for v.\n' | b'-5\n' | b'Suppose 53 = 5*s - 5*h - 87, 4*s - h = 121. Let j be (-30 + s)*(1 + -3 - -19). Solve 0*v = 3*v - 2*g + j, -5*v - 3*g - 22 = 0 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(n) be the first derivative of -n**3/2 + 3*n**2/2 - 2*n + 2. Let f(a) be the first derivative of x(a). What is the first derivative of f(m) wrt m?\n' | b'-3\n' | b'Let x(n) be the first derivative of -n**3/2 + 3*n**2/2 - 2*n + 2. Let f(a) be the first derivative of x(a). What is the first derivative of f(m) wrt m?\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose r - 4*i = 14, -4*r - 2*i + 127 = -91. Let z(d) = -d**3 + 48*d**2 + 99*d + 34. Determine z(r).\n' | b'-16\n' | b'Suppose r - 4*i = 14, -4*r - 2*i + 127 = -91. Let z(d) = -d**3 + 48*d**2 + 99*d + 34. Determine z(r).\n' | b'-16\n' | deepmind/math_dataset |
b'Let n(c) be the third derivative of -3629*c**5/60 + c**4/8 + 3507*c**3/2 + c**2 + 38*c + 17. What is the first derivative of n(y) wrt y?\n' | b'-7258*y + 3\n' | b'Let n(c) be the third derivative of -3629*c**5/60 + c**4/8 + 3507*c**3/2 + c**2 + 38*c + 17. What is the first derivative of n(y) wrt y?\n' | b'-7258*y + 3\n' | deepmind/math_dataset |
b'Let r = -61 + 43. Let s = r - -22. Let v(n) = n**3 + n**2 + 4*n + 9. Let t(o) = o**2 + o + 1. Let m(y) = -5*t(y) + v(y). Calculate m(s).\n' | b'0\n' | b'Let r = -61 + 43. Let s = r - -22. Let v(n) = n**3 + n**2 + 4*n + 9. Let t(o) = o**2 + o + 1. Let m(y) = -5*t(y) + v(y). Calculate m(s).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (v*v*v**14)**(-4/21)/(v/(v**8/v))**(-50) assuming v is positive.\n' | b'v**(-6364/21)\n' | b'Simplify (v*v*v**14)**(-4/21)/(v/(v**8/v))**(-50) assuming v is positive.\n' | b'v**(-6364/21)\n' | deepmind/math_dataset |
b'Suppose -2*v + 4*q = -6, -v + 3 = 5*q - 0. Suppose -w + v*c = -14, -6 = -5*w - 2*c + c. Differentiate 4*t + t**4 - 4*t + w with respect to t.\n' | b'4*t**3\n' | b'Suppose -2*v + 4*q = -6, -v + 3 = 5*q - 0. Suppose -w + v*c = -14, -6 = -5*w - 2*c + c. Differentiate 4*t + t**4 - 4*t + w with respect to t.\n' | b'4*t**3\n' | deepmind/math_dataset |
b'Let h(p) = 423*p - 574. Let c(v) = -1272*v + 1719. Let m(j) = -4*c(j) - 11*h(j). What is the derivative of m(g) wrt g?\n' | b'435\n' | b'Let h(p) = 423*p - 574. Let c(v) = -1272*v + 1719. Let m(j) = -4*c(j) - 11*h(j). What is the derivative of m(g) wrt g?\n' | b'435\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxlwwlxllxlw. Give prob of sequence xx.\n' | b'1/11\n' | b'Two letters picked without replacement from xxlwwlxllxlw. Give prob of sequence xx.\n' | b'1/11\n' | deepmind/math_dataset |
b'Let i(v) be the second derivative of -5*v**4/12 + 9*v**2/2 + 6*v. What is the derivative of i(q) wrt q?\n' | b'-10*q\n' | b'Let i(v) be the second derivative of -5*v**4/12 + 9*v**2/2 + 6*v. What is the derivative of i(q) wrt q?\n' | b'-10*q\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyppyyy. What is prob of picking 1 p and 2 y?\n' | b'4/7\n' | b'Three letters picked without replacement from yyppyyy. What is prob of picking 1 p and 2 y?\n' | b'4/7\n' | deepmind/math_dataset |
b'Suppose -4*p + 9*p = 10. Find the second derivative of -7*x**4 - p*x - 10*x**2 + 9*x**2 + x**2 wrt x.\n' | b'-84*x**2\n' | b'Suppose -4*p + 9*p = 10. Find the second derivative of -7*x**4 - p*x - 10*x**2 + 9*x**2 + x**2 wrt x.\n' | b'-84*x**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from eeeoeeeke?\n' | b'7/12\n' | b'What is prob of picking 2 e when two letters picked without replacement from eeeoeeeke?\n' | b'7/12\n' | deepmind/math_dataset |
b'Suppose -765 + 618 = -49*d. Solve -3*n + d*w + 9 = 0, 5*n - 4 = -4*w + 11 for n.\n' | b'3\n' | b'Suppose -765 + 618 = -49*d. Solve -3*n + d*w + 9 = 0, 5*n - 4 = -4*w + 11 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Find the second derivative of 462*h - 73*h**5 + 130*h**5 + 441*h**5 wrt h.\n' | b'9960*h**3\n' | b'Find the second derivative of 462*h - 73*h**5 + 130*h**5 + 441*h**5 wrt h.\n' | b'9960*h**3\n' | deepmind/math_dataset |
b'Let h(p) = 34*p**4 + 26*p**2 + 4. Let t(i) = 34*i**4 + 25*i**2 + 5. Let w(z) = 5*h(z) - 4*t(z). Find the third derivative of w(q) wrt q.\n' | b'816*q\n' | b'Let h(p) = 34*p**4 + 26*p**2 + 4. Let t(i) = 34*i**4 + 25*i**2 + 5. Let w(z) = 5*h(z) - 4*t(z). Find the third derivative of w(q) wrt q.\n' | b'816*q\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 1, r: 1, i: 2}. Give prob of picking 2 i and 1 r.\n' | b'1/4\n' | b'Three letters picked without replacement from {u: 1, r: 1, i: 2}. Give prob of picking 2 i and 1 r.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let c be 0 - 72/(-32) - 6/(-8). Let n be 148/28 + ((-6)/7)/c. Solve n*j - 35 = 5*m, -3*m + 8 = -2*m + 4*j for m.\n' | b'-4\n' | b'Let c be 0 - 72/(-32) - 6/(-8). Let n be 148/28 + ((-6)/7)/c. Solve n*j - 35 = 5*m, -3*m + 8 = -2*m + 4*j for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, m: 3, s: 1, v: 1, l: 2}. Give prob of picking 2 m.\n' | b'1/15\n' | b'Two letters picked without replacement from {c: 3, m: 3, s: 1, v: 1, l: 2}. Give prob of picking 2 m.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c(o) = -o**3 - 19*o**2 + 20*o + 4. Let s be c(-20). Let a(q) = 0*q + 6 + 2*q - s - q. Calculate a(7).\n' | b'9\n' | b'Let c(o) = -o**3 - 19*o**2 + 20*o + 4. Let s be c(-20). Let a(q) = 0*q + 6 + 2*q - s - q. Calculate a(7).\n' | b'9\n' | deepmind/math_dataset |
b'Let d(k) be the first derivative of 2413*k**5/5 + 2284*k + 403. What is the first derivative of d(x) wrt x?\n' | b'9652*x**3\n' | b'Let d(k) be the first derivative of 2413*k**5/5 + 2284*k + 403. What is the first derivative of d(x) wrt x?\n' | b'9652*x**3\n' | deepmind/math_dataset |
b'Simplify ((s/s**1)**17)**(4/7) assuming s is positive.\n' | b'1\n' | b'Simplify ((s/s**1)**17)**(4/7) assuming s is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence eae when three letters picked without replacement from {a: 3, e: 9}.\n' | b'9/55\n' | b'Calculate prob of sequence eae when three letters picked without replacement from {a: 3, e: 9}.\n' | b'9/55\n' | deepmind/math_dataset |
b'Let r(l) be the third derivative of -l**6/120 - l**5/20 + l**4/24 - l**3/3 - 16*l**2. What is r(-4)?\n' | b'10\n' | b'Let r(l) be the third derivative of -l**6/120 - l**5/20 + l**4/24 - l**3/3 - 16*l**2. What is r(-4)?\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence glr when three letters picked without replacement from lgvqr.\n' | b'1/60\n' | b'Calculate prob of sequence glr when three letters picked without replacement from lgvqr.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let i be ((-2)/(-2))/(7/77). Let x = i + -9. Solve x*s - 18 = 4*t, 2*s + 1 = s - 3*t for s.\n' | b'5\n' | b'Let i be ((-2)/(-2))/(7/77). Let x = i + -9. Solve x*s - 18 = 4*t, 2*s + 1 = s - 3*t for s.\n' | b'5\n' | deepmind/math_dataset |
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