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'Suppose 0*z = -5*z - 5*q - 15, 4*q - 8 = 0. Suppose -5*t + 12 = -i, -i = 4*t - 2*t - 2. Let v = i - z. Solve 2*l + v = 3*s + 18, s = 5*l - 5 for l.\n' | b'0\n' | b'Suppose 0*z = -5*z - 5*q - 15, 4*q - 8 = 0. Suppose -5*t + 12 = -i, -i = 4*t - 2*t - 2. Let v = i - z. Solve 2*l + v = 3*s + 18, s = 5*l - 5 for l.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 13, y: 3}. Give prob of picking 1 g and 1 y.\n' | b'13/40\n' | b'Two letters picked without replacement from {g: 13, y: 3}. Give prob of picking 1 g and 1 y.\n' | b'13/40\n' | deepmind/math_dataset |
b'Simplify ((((s**(-7)/s)/s**5)/(s**(-1/5)*s**(4/7)))**28)**(-23) assuming s is positive.\n' | b's**(43056/5)\n' | b'Simplify ((((s**(-7)/s)/s**5)/(s**(-1/5)*s**(4/7)))**28)**(-23) assuming s is positive.\n' | b's**(43056/5)\n' | deepmind/math_dataset |
b'Simplify (w**1)**(-14/3) assuming w is positive.\n' | b'w**(-14/3)\n' | b'Simplify (w**1)**(-14/3) assuming w is positive.\n' | b'w**(-14/3)\n' | deepmind/math_dataset |
b'Let b(c) = -6*c + 0*c - 13 - 7 + c - 2. Calculate b(-7).\n' | b'13\n' | b'Let b(c) = -6*c + 0*c - 13 - 7 + c - 2. Calculate b(-7).\n' | b'13\n' | deepmind/math_dataset |
b'Let t(b) be the third derivative of b**4/24 - 17*b**3/6 + 144*b**2. What is t(20)?\n' | b'3\n' | b'Let t(b) be the third derivative of b**4/24 - 17*b**3/6 + 144*b**2. What is t(20)?\n' | b'3\n' | deepmind/math_dataset |
b'Let k(u) = 13*u**2 - 2*u - 1. Let i be k(-1). Solve 2*j + 3*r = -i, 0*j + r = -4*j - 8 for j.\n' | b'-1\n' | b'Let k(u) = 13*u**2 - 2*u - 1. Let i be k(-1). Solve 2*j + 3*r = -i, 0*j + r = -4*j - 8 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -5*x = -5*i + 20, -i + 9 - 2 = -4*x. Let g(a) = -a**2 - 1. Let y(r) = 3*r**2 - 3*r - 1. Let o(q) = x*y(q) - 2*g(q). What is o(4)?\n' | b'-1\n' | b'Suppose -5*x = -5*i + 20, -i + 9 - 2 = -4*x. Let g(a) = -a**2 - 1. Let y(r) = 3*r**2 - 3*r - 1. Let o(q) = x*y(q) - 2*g(q). What is o(4)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 q when two letters picked without replacement from nqnddqfddwqwqq?\n' | b'10/91\n' | b'What is prob of picking 1 n and 1 q when two letters picked without replacement from nqnddqfddwqwqq?\n' | b'10/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 2 z when three letters picked without replacement from {c: 7, d: 6, z: 2}?\n' | b'1/65\n' | b'What is prob of picking 1 c and 2 z when three letters picked without replacement from {c: 7, d: 6, z: 2}?\n' | b'1/65\n' | deepmind/math_dataset |
b'Let n(l) = l**3 - 17*l**2 + 37*l + 74. Let p be n(14). Solve h + 0*h + 22 = -p*m, 0 = -4*m + 4*h - 12 for m.\n' | b'-5\n' | b'Let n(l) = l**3 - 17*l**2 + 37*l + 74. Let p be n(14). Solve h + 0*h + 22 = -p*m, 0 = -4*m + 4*h - 12 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (g*g**25)**(-7)*(g*g**(-6))**(5/11) assuming g is positive.\n' | b'g**(-2027/11)\n' | b'Simplify (g*g**25)**(-7)*(g*g**(-6))**(5/11) assuming g is positive.\n' | b'g**(-2027/11)\n' | deepmind/math_dataset |
b'Let k(u) = 525*u - 46 - 260*u - 269*u. Let z be k(-10). Let b(q) = 3*q - 3. Give b(z).\n' | b'-21\n' | b'Let k(u) = 525*u - 46 - 260*u - 269*u. Let z be k(-10). Let b(q) = 3*q - 3. Give b(z).\n' | b'-21\n' | deepmind/math_dataset |
b'Suppose 3*q + n - 9 = 4*n, 4*n = -3*q + 44. Suppose 0*g + 4*g = q. What is the third derivative of b**g + 0*b**4 + b**4 - 3*b**4 wrt b?\n' | b'-48*b\n' | b'Suppose 3*q + n - 9 = 4*n, 4*n = -3*q + 44. Suppose 0*g + 4*g = q. What is the third derivative of b**g + 0*b**4 + b**4 - 3*b**4 wrt b?\n' | b'-48*b\n' | deepmind/math_dataset |
b'Suppose 6*o = -o + 21. What is the third derivative of -6*v**2 - 1124 - 14*v**o + 1124 wrt v?\n' | b'-84\n' | b'Suppose 6*o = -o + 21. What is the third derivative of -6*v**2 - 1124 - 14*v**o + 1124 wrt v?\n' | b'-84\n' | deepmind/math_dataset |
b'What is prob of sequence iie when three letters picked without replacement from ebieeebeaebaieea?\n' | b'1/210\n' | b'What is prob of sequence iie when three letters picked without replacement from ebieeebeaebaieea?\n' | b'1/210\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, x: 2, f: 1, h: 1}. Give prob of picking 2 v.\n' | b'0\n' | b'Two letters picked without replacement from {v: 1, x: 2, f: 1, h: 1}. Give prob of picking 2 v.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence nnxe when four letters picked without replacement from xnxeeeexnnx?\n' | b'2/165\n' | b'What is prob of sequence nnxe when four letters picked without replacement from xnxeeeexnnx?\n' | b'2/165\n' | deepmind/math_dataset |
b'Calculate prob of sequence ulh when three letters picked without replacement from loghuaa.\n' | b'1/210\n' | b'Calculate prob of sequence ulh when three letters picked without replacement from loghuaa.\n' | b'1/210\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxkkxkk. Give prob of picking 2 k.\n' | b'2/7\n' | b'Two letters picked without replacement from xxkkxkk. Give prob of picking 2 k.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let g = 352 + -452. Let z = 102 + g. Solve d - y + 0 = 9, z*y - 10 = -5*d for d.\n' | b'4\n' | b'Let g = 352 + -452. Let z = 102 + g. Solve d - y + 0 = 9, z*y - 10 = -5*d for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let w(l) = -l**3 + 9*l**2 + 2*l**3 + l + 1 + 0*l. Let x = -663 - -1444. Let f = 772 - x. Give w(f).\n' | b'-8\n' | b'Let w(l) = -l**3 + 9*l**2 + 2*l**3 + l + 1 + 0*l. Let x = -663 - -1444. Let f = 772 - x. Give w(f).\n' | b'-8\n' | deepmind/math_dataset |
b'Let n(k) be the first derivative of -3*k**4/2 + 15*k - 21. What is the derivative of n(x) wrt x?\n' | b'-18*x**2\n' | b'Let n(k) be the first derivative of -3*k**4/2 + 15*k - 21. What is the derivative of n(x) wrt x?\n' | b'-18*x**2\n' | deepmind/math_dataset |
b'Simplify (y*y/y**(-10))/(y/(y/(y**(-1/16)/y)))*y**12*y**10 assuming y is positive.\n' | b'y**(561/16)\n' | b'Simplify (y*y/y**(-10))/(y/(y/(y**(-1/16)/y)))*y**12*y**10 assuming y is positive.\n' | b'y**(561/16)\n' | deepmind/math_dataset |
b'Let x(q) = q**3 + 12*q**2 + 2*q + 22. Let d(f) = -f**2 + 101*f + 408. Let s be d(-4). Calculate x(s).\n' | b'-2\n' | b'Let x(q) = q**3 + 12*q**2 + 2*q + 22. Let d(f) = -f**2 + 101*f + 408. Let s be d(-4). Calculate x(s).\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(q) = -q**3 + 6*q**2 - 2*q + 14. Let v be d(6). Let l(f) = -1 - 8 - v*f + 6. Determine l(3).\n' | b'-9\n' | b'Let d(q) = -q**3 + 6*q**2 - 2*q + 14. Let v be d(6). Let l(f) = -1 - 8 - v*f + 6. Determine l(3).\n' | b'-9\n' | deepmind/math_dataset |
b'Let o(q) = q**3 + 21*q**2 + 23*q + 58. Suppose -w - 121 = -2*z - 97, 5*w + 4*z = -92. Calculate o(w).\n' | b'-2\n' | b'Let o(q) = q**3 + 21*q**2 + 23*q + 58. Suppose -w - 121 = -2*z - 97, 5*w + 4*z = -92. Calculate o(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(k) = -7*k - 3. Let j = 33 - 10. Let q = j - 17. Let l(n) = n**2 + 29*n + 13. Let u(x) = q*l(x) + 26*a(x). What is the second derivative of u(i) wrt i?\n' | b'12\n' | b'Let a(k) = -7*k - 3. Let j = 33 - 10. Let q = j - 17. Let l(n) = n**2 + 29*n + 13. Let u(x) = q*l(x) + 26*a(x). What is the second derivative of u(i) wrt i?\n' | b'12\n' | deepmind/math_dataset |
b'Let a(t) = 1 + 0 + 3*t - 2. Let d = 2141 - 2135. Determine a(d).\n' | b'17\n' | b'Let a(t) = 1 + 0 + 3*t - 2. Let d = 2141 - 2135. Determine a(d).\n' | b'17\n' | deepmind/math_dataset |
b'Simplify i**(-24)*i**(-4/17)*i*i*i*i*i*i**(-25)*i**(10/3)/i assuming i is positive.\n' | b'i**(-2137/51)\n' | b'Simplify i**(-24)*i**(-4/17)*i*i*i*i*i*i**(-25)*i**(10/3)/i assuming i is positive.\n' | b'i**(-2137/51)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {b: 1, r: 1, s: 1, e: 1, g: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {b: 1, r: 1, s: 1, e: 1, g: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify r**6/(r/r**0)*((r/(r**(2/9)*r))/r)/(r*r**(-2/9))*(r**4/r**(-3))**(-2/33) assuming r is positive.\n' | b'r**(85/33)\n' | b'Simplify r**6/(r/r**0)*((r/(r**(2/9)*r))/r)/(r*r**(-2/9))*(r**4/r**(-3))**(-2/33) assuming r is positive.\n' | b'r**(85/33)\n' | deepmind/math_dataset |
b'Simplify ((s**(-3/7))**(-3/10))**(-15/8) assuming s is positive.\n' | b's**(-27/112)\n' | b'Simplify ((s**(-3/7))**(-3/10))**(-15/8) assuming s is positive.\n' | b's**(-27/112)\n' | deepmind/math_dataset |
b'Simplify j/((j**(-36)/j)/j)*j/(j*j**(-9/5)/j)*(j/j**(-6))**(-32) assuming j is positive.\n' | b'j**(-911/5)\n' | b'Simplify j/((j**(-36)/j)/j)*j/(j*j**(-9/5)/j)*(j/j**(-6))**(-32) assuming j is positive.\n' | b'j**(-911/5)\n' | deepmind/math_dataset |
b'Suppose 377*n + 368 = 393*n. Solve 18*c - n*c = 3*r + 5, -5*r = -4*c - 41 for r.\n' | b'5\n' | b'Suppose 377*n + 368 = 393*n. Solve 18*c - n*c = 3*r + 5, -5*r = -4*c - 41 for r.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (b**1)**(-19) assuming b is positive.\n' | b'b**(-19)\n' | b'Simplify (b**1)**(-19) assuming b is positive.\n' | b'b**(-19)\n' | deepmind/math_dataset |
b'Let g(b) = -b + 2. Let o(s) = 4*s + 1. Let z(n) = 5*n + 2. Let d(y) = -6*o(y) + 5*z(y). Let f be d(-7). Let u be g(f). Solve -l = -4*x, -u*l = 8*x - 4*x for x.\n' | b'0\n' | b'Let g(b) = -b + 2. Let o(s) = 4*s + 1. Let z(n) = 5*n + 2. Let d(y) = -6*o(y) + 5*z(y). Let f be d(-7). Let u be g(f). Solve -l = -4*x, -u*l = 8*x - 4*x for x.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (u/(u**11/u*u*u))/(u**(2/3)/u*u) assuming u is positive.\n' | b'u**(-35/3)\n' | b'Simplify (u/(u**11/u*u*u))/(u**(2/3)/u*u) assuming u is positive.\n' | b'u**(-35/3)\n' | deepmind/math_dataset |
b'Simplify (a**(1/29)*a/a**(3/4))/(a**(-12)/((a**(-3/19)/a)/a)) assuming a is positive.\n' | b'a**(22319/2204)\n' | b'Simplify (a**(1/29)*a/a**(3/4))/(a**(-12)/((a**(-3/19)/a)/a)) assuming a is positive.\n' | b'a**(22319/2204)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvbmcec. What is prob of picking 1 b, 2 v, and 1 c?\n' | b'2/35\n' | b'Four letters picked without replacement from vvbmcec. What is prob of picking 1 b, 2 v, and 1 c?\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify (m**0*m)/(m*m*m*m**(-2/27)) assuming m is positive.\n' | b'm**(-52/27)\n' | b'Simplify (m**0*m)/(m*m*m*m**(-2/27)) assuming m is positive.\n' | b'm**(-52/27)\n' | deepmind/math_dataset |
b'What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn?\n' | b'1\n' | b'What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnn?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmbmdmmmbbmmmmmmbb. What is prob of picking 3 m?\n' | b'55/204\n' | b'Three letters picked without replacement from mmbmdmmmbbmmmmmmbb. What is prob of picking 3 m?\n' | b'55/204\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 o when three letters picked without replacement from abooabboboob.\n' | b'1/22\n' | b'Calculate prob of picking 3 o when three letters picked without replacement from abooabboboob.\n' | b'1/22\n' | deepmind/math_dataset |
b'Simplify (y**0)**(2/73)/(y**2*y/y**(-3/7)*y) assuming y is positive.\n' | b'y**(-31/7)\n' | b'Simplify (y**0)**(2/73)/(y**2*y/y**(-3/7)*y) assuming y is positive.\n' | b'y**(-31/7)\n' | deepmind/math_dataset |
b'Suppose -3*c + 0*c + 3*n = -12, c + 3*n + 12 = 0. Solve -2*s + 0*s = -4, c = -3*f + s + 7 for f.\n' | b'3\n' | b'Suppose -3*c + 0*c + 3*n = -12, c + 3*n + 12 = 0. Solve -2*s + 0*s = -4, c = -3*f + s + 7 for f.\n' | b'3\n' | deepmind/math_dataset |
b'Find the second derivative of 6*w - 39*w**2 + 45*w + 21*w**3 + 39*w**2 wrt w.\n' | b'126*w\n' | b'Find the second derivative of 6*w - 39*w**2 + 45*w + 21*w**3 + 39*w**2 wrt w.\n' | b'126*w\n' | deepmind/math_dataset |
b'Calculate prob of sequence mt when two letters picked without replacement from {u: 1, y: 1, q: 2, s: 1, t: 1, m: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence mt when two letters picked without replacement from {u: 1, y: 1, q: 2, s: 1, t: 1, m: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence ga when two letters picked without replacement from qvqdgavdmdvddmd.\n' | b'1/210\n' | b'Calculate prob of sequence ga when two letters picked without replacement from qvqdgavdmdvddmd.\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify (p/(p**(-3/7)*p))**(-1/65)*(p/p**(1/23))/(p*p/((p/(p*p**(-5/8)*p))/p*p)) assuming p is positive.\n' | b'p**(-119307/83720)\n' | b'Simplify (p/(p**(-3/7)*p))**(-1/65)*(p/p**(1/23))/(p*p/((p/(p*p**(-5/8)*p))/p*p)) assuming p is positive.\n' | b'p**(-119307/83720)\n' | deepmind/math_dataset |
b'Suppose 0 = 3*r - 3 + 18. Let l(j) = -j**3 - 5*j**2. Determine l(r).\n' | b'0\n' | b'Suppose 0 = 3*r - 3 + 18. Let l(j) = -j**3 - 5*j**2. Determine l(r).\n' | b'0\n' | deepmind/math_dataset |
b'What is the second derivative of -270*l - 8*l**4 - 1130 + 1129 + 873*l + 706*l wrt l?\n' | b'-96*l**2\n' | b'What is the second derivative of -270*l - 8*l**4 - 1130 + 1129 + 873*l + 706*l wrt l?\n' | b'-96*l**2\n' | deepmind/math_dataset |
b'Suppose 2*n - 4 = 6. Solve -4*x - n*q = -4*q + 21, 0 = 3*q + 3 for x.\n' | b'-5\n' | b'Suppose 2*n - 4 = 6. Solve -4*x - n*q = -4*q + 21, 0 = 3*q + 3 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((x**(-2/5)*x*x)/x*x*(((x/(x**(-2/95)*x)*x)/x)/x)/x)**(-30) assuming x is positive.\n' | b'x**(216/19)\n' | b'Simplify ((x**(-2/5)*x*x)/x*x*(((x/(x**(-2/95)*x)*x)/x)/x)/x)**(-30) assuming x is positive.\n' | b'x**(216/19)\n' | deepmind/math_dataset |
b'Suppose -2*l + 12 = 4*g, -5*g - 22 = -3*l - 37. Solve l*u + 5*u - 3*q = -8, u = 4*q - 5 for u.\n' | b'-1\n' | b'Suppose -2*l + 12 = 4*g, -5*g - 22 = -3*l - 37. Solve l*u + 5*u - 3*q = -8, u = 4*q - 5 for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(f) = 0*f**2 + 4 - 5*f**2 - f + f**3 + 3*f**2 + 0*f**3. Let d be g(3). Suppose 3*s - d = 5. Solve -2*a - 22 = s*v, -2*v - 5*a = 10 + 3 for v.\n' | b'-4\n' | b'Let g(f) = 0*f**2 + 4 - 5*f**2 - f + f**3 + 3*f**2 + 0*f**3. Let d be g(3). Suppose 3*s - d = 5. Solve -2*a - 22 = s*v, -2*v - 5*a = 10 + 3 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (h/(h*h**(4/3))*h*h*h**(-6)*h*h)/(h*h**1)**(2/73)*(h/(h*h/h**(-2/5)))**(-1/14)/((h**(-1)/h)/h)**(-6/5) assuming h is positive.\n' | b'h**(-3017/438)\n' | b'Simplify (h/(h*h**(4/3))*h*h*h**(-6)*h*h)/(h*h**1)**(2/73)*(h/(h*h/h**(-2/5)))**(-1/14)/((h**(-1)/h)/h)**(-6/5) assuming h is positive.\n' | b'h**(-3017/438)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 2, d: 2}. What is prob of picking 2 y?\n' | b'1/6\n' | b'Two letters picked without replacement from {y: 2, d: 2}. What is prob of picking 2 y?\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 2 h when four letters picked without replacement from bvvhqhqbhhv?\n' | b'3/55\n' | b'What is prob of picking 2 v and 2 h when four letters picked without replacement from bvvhqhqbhhv?\n' | b'3/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uffsiiifiisuiiuiiui. What is prob of sequence iufs?\n' | b'5/1938\n' | b'Four letters picked without replacement from uffsiiifiisuiiuiiui. What is prob of sequence iufs?\n' | b'5/1938\n' | deepmind/math_dataset |
b'Simplify (r*((r**13*r)/r)/r)**(-1/43)/(r/r**(3/17))**48 assuming r is positive.\n' | b'r**(-29117/731)\n' | b'Simplify (r*((r**13*r)/r)/r)**(-1/43)/(r/r**(3/17))**48 assuming r is positive.\n' | b'r**(-29117/731)\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 2 q when three letters picked without replacement from bqbqbbbqbqbqqbbq?\n' | b'27/80\n' | b'What is prob of picking 1 b and 2 q when three letters picked without replacement from bqbqbbbqbqbqqbbq?\n' | b'27/80\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pedfdpfpedgggfepdpp. What is prob of picking 3 g and 1 p?\n' | b'1/646\n' | b'Four letters picked without replacement from pedfdpfpedgggfepdpp. What is prob of picking 3 g and 1 p?\n' | b'1/646\n' | deepmind/math_dataset |
b'Calculate prob of sequence az when two letters picked without replacement from zjzjajjzzszjaazzsjsj.\n' | b'21/380\n' | b'Calculate prob of sequence az when two letters picked without replacement from zjzjajjzzszjaazzsjsj.\n' | b'21/380\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, d: 1}. Give prob of sequence de.\n' | b'1/4\n' | b'Two letters picked without replacement from {e: 3, d: 1}. Give prob of sequence de.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let d(m) = -5*m + 53 + 3*m - 32 - 28. Let y(a) = a**2 - 11*a - 47. Let t be y(14). Give d(t).\n' | b'3\n' | b'Let d(m) = -5*m + 53 + 3*m - 32 - 28. Let y(a) = a**2 - 11*a - 47. Let t be y(14). Give d(t).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooioooikk. Give prob of picking 2 o and 2 k.\n' | b'5/63\n' | b'Four letters picked without replacement from ooioooikk. Give prob of picking 2 o and 2 k.\n' | b'5/63\n' | deepmind/math_dataset |
b'Differentiate 2 - 5 + 6 + 6 + 9*i with respect to i.\n' | b'9\n' | b'Differentiate 2 - 5 + 6 + 6 + 9*i with respect to i.\n' | b'9\n' | deepmind/math_dataset |
b'Let b be (12/15)/((-4)/(-10)). Suppose 0 = b*m + 4*u - 9*u + 1, -4*m - 2*u = -10. Find the first derivative of -11*c**m + 20*c**2 - 5 - 14*c**2 wrt c.\n' | b'-10*c\n' | b'Let b be (12/15)/((-4)/(-10)). Suppose 0 = b*m + 4*u - 9*u + 1, -4*m - 2*u = -10. Find the first derivative of -11*c**m + 20*c**2 - 5 - 14*c**2 wrt c.\n' | b'-10*c\n' | deepmind/math_dataset |
b'Simplify ((g**(1/2))**13)**(2/13)*(g**(2/5)/g)**(-25)*(g**(-1)*g)**(-2/75) assuming g is positive.\n' | b'g**16\n' | b'Simplify ((g**(1/2))**13)**(2/13)*(g**(2/5)/g)**(-25)*(g**(-1)*g)**(-2/75) assuming g is positive.\n' | b'g**16\n' | deepmind/math_dataset |
b'Let f(l) = 2 - 3*l + 0*l + l + l**3 + 4*l**2. Let p be -2 + (0 - (0 - -2)). Determine f(p).\n' | b'10\n' | b'Let f(l) = 2 - 3*l + 0*l + l + l**3 + 4*l**2. Let p be -2 + (0 - (0 - -2)). Determine f(p).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (g**4/g)**1/(g**(-4))**(-27) assuming g is positive.\n' | b'g**(-105)\n' | b'Simplify (g**4/g)**1/(g**(-4))**(-27) assuming g is positive.\n' | b'g**(-105)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uccuczccua. Give prob of sequence zcuu.\n' | b'1/168\n' | b'Four letters picked without replacement from uccuczccua. Give prob of sequence zcuu.\n' | b'1/168\n' | deepmind/math_dataset |
b'Suppose -38*y = -25*y. Solve -m - 4*b + 17 = 0, y = 3*m + m - 2*b + 22 for m.\n' | b'-3\n' | b'Suppose -38*y = -25*y. Solve -m - 4*b + 17 = 0, y = 3*m + m - 2*b + 22 for m.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 1 q when two letters picked without replacement from {v: 7, y: 2, q: 2, f: 8}?\n' | b'16/171\n' | b'What is prob of picking 1 f and 1 q when two letters picked without replacement from {v: 7, y: 2, q: 2, f: 8}?\n' | b'16/171\n' | deepmind/math_dataset |
b'Simplify (g/((g*(g/g**0)/g*g)/g)*g*g/(g*g**(-3/7)*g))**(-2/5) assuming g is positive.\n' | b'g**(-6/35)\n' | b'Simplify (g/((g*(g/g**0)/g*g)/g)*g*g/(g*g**(-3/7)*g))**(-2/5) assuming g is positive.\n' | b'g**(-6/35)\n' | deepmind/math_dataset |
b'Let b(i) be the third derivative of 5*i**4/6 + 5*i**3/6 + 13*i**2. Find the first derivative of b(x) wrt x.\n' | b'20\n' | b'Let b(i) be the third derivative of 5*i**4/6 + 5*i**3/6 + 13*i**2. Find the first derivative of b(x) wrt x.\n' | b'20\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwkxxkbtxkxxxxxxkx. Give prob of picking 1 w and 1 x.\n' | b'20/153\n' | b'Two letters picked without replacement from wwkxxkbtxkxxxxxxkx. Give prob of picking 1 w and 1 x.\n' | b'20/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hsmgj. What is prob of picking 1 h and 1 m?\n' | b'1/10\n' | b'Two letters picked without replacement from hsmgj. What is prob of picking 1 h and 1 m?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhhjhjjhhihjhhju. What is prob of sequence ju?\n' | b'1/48\n' | b'Two letters picked without replacement from hhhjhjjhhihjhhju. What is prob of sequence ju?\n' | b'1/48\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 3 y when four letters picked without replacement from jdyyyyddydd?\n' | b'5/33\n' | b'What is prob of picking 1 d and 3 y when four letters picked without replacement from jdyyyyddydd?\n' | b'5/33\n' | deepmind/math_dataset |
b'Suppose -108*o = 76*o + 3496. Let j(n) = -n**3 - 21*n**2 - 34*n - 3. Calculate j(o).\n' | b'-79\n' | b'Suppose -108*o = 76*o + 3496. Let j(n) = -n**3 - 21*n**2 - 34*n - 3. Calculate j(o).\n' | b'-79\n' | deepmind/math_dataset |
b'Suppose 4*z - 10 = -2*o, -2*z + 5 = 3*z. Let d(h) = h**2 - 2*h + 2. Let t be d(o). Find the second derivative of -6*p**3 - t*p**3 + 16*p**3 - 2*p wrt p.\n' | b'30*p\n' | b'Suppose 4*z - 10 = -2*o, -2*z + 5 = 3*z. Let d(h) = h**2 - 2*h + 2. Let t be d(o). Find the second derivative of -6*p**3 - t*p**3 + 16*p**3 - 2*p wrt p.\n' | b'30*p\n' | deepmind/math_dataset |
b'Let j(o) = o**2 - 19*o + 55. Let u be j(16). Let t(n) = 2*n - 14. Calculate t(u).\n' | b'0\n' | b'Let j(o) = o**2 - 19*o + 55. Let u be j(16). Let t(n) = 2*n - 14. Calculate t(u).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((((w/w**(1/9))/w)/((w/w**(-4/3))/w)*(w*w**(-3/4)*w)/((w*w**(2/3))/w))**(-11))**3 assuming w is positive.\n' | b'w**(341/12)\n' | b'Simplify ((((w/w**(1/9))/w)/((w/w**(-4/3))/w)*(w*w**(-3/4)*w)/((w*w**(2/3))/w))**(-11))**3 assuming w is positive.\n' | b'w**(341/12)\n' | deepmind/math_dataset |
b'Suppose -7*d - 984 = 661. Let r = d + 238. Solve -5*a + 5*w + 20 = 0, -a - 2 = -4*w - r for a.\n' | b'5\n' | b'Suppose -7*d - 984 = 661. Let r = d + 238. Solve -5*a + 5*w + 20 = 0, -a - 2 = -4*w - r for a.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 2 q when two letters picked without replacement from {b: 4, q: 2, y: 2, r: 2}?\n' | b'1/45\n' | b'What is prob of picking 2 q when two letters picked without replacement from {b: 4, q: 2, y: 2, r: 2}?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let c(i) = i**2 + 8*i - 1. Let w(n) = -n**2 - 2*n**2 + 17*n + 0 + 6*n**2 - 1. Let j(a) = 5*c(a) - 2*w(a). Determine j(5).\n' | b'2\n' | b'Let c(i) = i**2 + 8*i - 1. Let w(n) = -n**2 - 2*n**2 + 17*n + 0 + 6*n**2 - 1. Let j(a) = 5*c(a) - 2*w(a). Determine j(5).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttjtjwzztyvvt. Give prob of picking 1 v and 1 w.\n' | b'1/39\n' | b'Two letters picked without replacement from ttjtjwzztyvvt. Give prob of picking 1 v and 1 w.\n' | b'1/39\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 f when three letters picked without replacement from {f: 4, q: 1, p: 1, w: 2}?\n' | b'3/28\n' | b'What is prob of picking 1 q and 2 f when three letters picked without replacement from {f: 4, q: 1, p: 1, w: 2}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 m, and 2 q when four letters picked without replacement from {q: 3, t: 2, w: 5, m: 2}.\n' | b'4/165\n' | b'Calculate prob of picking 1 t, 1 m, and 2 q when four letters picked without replacement from {q: 3, t: 2, w: 5, m: 2}.\n' | b'4/165\n' | deepmind/math_dataset |
b'Let h(l) be the third derivative of l**4/8 - 29*l**3/6 + 7*l**2. Let a be h(11). What is the first derivative of 5*n**2 - 10*n**2 + a + 11 wrt n?\n' | b'-10*n\n' | b'Let h(l) be the third derivative of l**4/8 - 29*l**3/6 + 7*l**2. Let a be h(11). What is the first derivative of 5*n**2 - 10*n**2 + a + 11 wrt n?\n' | b'-10*n\n' | deepmind/math_dataset |
b'Suppose 0 = 4*a + 5*m - 1 - 2, 0 = -2*a + m - 9. Let r(u) be the third derivative of u**5/30 + u**4/6 - u**3/6 + u**2 + 13*u + 11. Determine r(a).\n' | b'5\n' | b'Suppose 0 = 4*a + 5*m - 1 - 2, 0 = -2*a + m - 9. Let r(u) be the third derivative of u**5/30 + u**4/6 - u**3/6 + u**2 + 13*u + 11. Determine r(a).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 5*t - 82 = -27. Suppose t = -4*o + 103. What is the second derivative of 2*b**2 - 25*b**2 - o*b + 17*b - 16*b**2 wrt b?\n' | b'-78\n' | b'Suppose 5*t - 82 = -27. Suppose t = -4*o + 103. What is the second derivative of 2*b**2 - 25*b**2 - o*b + 17*b - 16*b**2 wrt b?\n' | b'-78\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 5, m: 1, e: 3}. What is prob of sequence hhh?\n' | b'5/42\n' | b'Three letters picked without replacement from {h: 5, m: 1, e: 3}. What is prob of sequence hhh?\n' | b'5/42\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 g when four letters picked without replacement from gygyygugyygyyyggg.\n' | b'1/34\n' | b'Calculate prob of picking 4 g when four letters picked without replacement from gygyygugyygyyyggg.\n' | b'1/34\n' | deepmind/math_dataset |
b'What is the third derivative of 4607*d - 885*d**2 - 888*d**2 + 3*d**3 - 370*d**4 - 889*d**2 + 2663*d**2 wrt d?\n' | b'-8880*d + 18\n' | b'What is the third derivative of 4607*d - 885*d**2 - 888*d**2 + 3*d**3 - 370*d**4 - 889*d**2 + 2663*d**2 wrt d?\n' | b'-8880*d + 18\n' | deepmind/math_dataset |
b'Let g(x) = x**2 - 7*x. Let n be g(7). Let h be 2 - -1*(2 - n). Solve 2*b - 3*w - 10 = 0, 4*b + b - h*w - 25 = 0 for b.\n' | b'5\n' | b'Let g(x) = x**2 - 7*x. Let n be g(7). Let h be 2 - -1*(2 - n). Solve 2*b - 3*w - 10 = 0, 4*b + b - h*w - 25 = 0 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ssmszshms. What is prob of picking 1 s and 1 m?\n' | b'5/18\n' | b'Two letters picked without replacement from ssmszshms. What is prob of picking 1 s and 1 m?\n' | b'5/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, q: 3, v: 4, i: 4, h: 1, z: 1}. What is prob of sequence oh?\n' | b'1/105\n' | b'Two letters picked without replacement from {o: 2, q: 3, v: 4, i: 4, h: 1, z: 1}. What is prob of sequence oh?\n' | b'1/105\n' | deepmind/math_dataset |
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