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'Two letters picked without replacement from ppplllpppp. Give prob of picking 2 p.\n' | b'7/15\n' | b'Two letters picked without replacement from ppplllpppp. Give prob of picking 2 p.\n' | b'7/15\n' | deepmind/math_dataset |
b'Simplify ((y/y**(-4)*y**1)/(y**(-3/2)*y**4))/((y**1)**41*(y/y**5)/y**(-7)) assuming y is positive.\n' | b'y**(-81/2)\n' | b'Simplify ((y/y**(-4)*y**1)/(y**(-3/2)*y**4))/((y**1)**41*(y/y**5)/y**(-7)) assuming y is positive.\n' | b'y**(-81/2)\n' | deepmind/math_dataset |
b'Let a = 7223 - 7223. Let t(h) be the first derivative of a*h - 5/2*h**4 + 4*h**2 + 0*h**3 + 6. What is the second derivative of t(u) wrt u?\n' | b'-60*u\n' | b'Let a = 7223 - 7223. Let t(h) be the first derivative of a*h - 5/2*h**4 + 4*h**2 + 0*h**3 + 6. What is the second derivative of t(u) wrt u?\n' | b'-60*u\n' | deepmind/math_dataset |
b'What is prob of picking 3 z when three letters picked without replacement from {c: 8, z: 4, m: 4}?\n' | b'1/140\n' | b'What is prob of picking 3 z when three letters picked without replacement from {c: 8, z: 4, m: 4}?\n' | b'1/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from miiiqvmiddddfdifimq. What is prob of sequence dq?\n' | b'5/171\n' | b'Two letters picked without replacement from miiiqvmiddddfdifimq. What is prob of sequence dq?\n' | b'5/171\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, d: 1, q: 1, n: 5, v: 5, r: 2}. What is prob of sequence sq?\n' | b'1/120\n' | b'Two letters picked without replacement from {s: 2, d: 1, q: 1, n: 5, v: 5, r: 2}. What is prob of sequence sq?\n' | b'1/120\n' | deepmind/math_dataset |
b'What is prob of sequence xqf when three letters picked without replacement from pfhphhqpxqxqnfx?\n' | b'3/455\n' | b'What is prob of sequence xqf when three letters picked without replacement from pfhphhqpxqxqnfx?\n' | b'3/455\n' | deepmind/math_dataset |
b'Simplify ((f*f/((f/f**(-1/2)*f)/f)*f)/f)**(-18)*f**(2/17)*(f**(-5)/f)/f assuming f is positive.\n' | b'f**(-270/17)\n' | b'Simplify ((f*f/((f/f**(-1/2)*f)/f)*f)/f)**(-18)*f**(2/17)*(f**(-5)/f)/f assuming f is positive.\n' | b'f**(-270/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 2, z: 8, m: 2, l: 4, e: 1, x: 2}. What is prob of sequence lmzz?\n' | b'14/2907\n' | b'Four letters picked without replacement from {a: 2, z: 8, m: 2, l: 4, e: 1, x: 2}. What is prob of sequence lmzz?\n' | b'14/2907\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, f: 3, w: 3}. What is prob of picking 1 f and 1 w?\n' | b'9/28\n' | b'Two letters picked without replacement from {o: 2, f: 3, w: 3}. What is prob of picking 1 f and 1 w?\n' | b'9/28\n' | deepmind/math_dataset |
b'Suppose 4*f - 183 + 59 = -w, -3*f + w = -86. Solve c + r - 10 = 0, 2*c + 12*r - f = 8*r for c.\n' | b'5\n' | b'Suppose 4*f - 183 + 59 = -w, -3*f + w = -86. Solve c + r - 10 = 0, 2*c + 12*r - f = 8*r for c.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -3*g + 0*g + 48 = 0. Suppose -9 = 4*f + 5*z, 99*f + 5*z = 100*f - 29. Let s = -72 + 74. Solve -2*h - f*o - g = 0, -4*o - 3 = -s*h + 21 for h.\n' | b'2\n' | b'Suppose -3*g + 0*g + 48 = 0. Suppose -9 = 4*f + 5*z, 99*f + 5*z = 100*f - 29. Let s = -72 + 74. Solve -2*h - f*o - g = 0, -4*o - 3 = -s*h + 21 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Let y(i) = 61*i**3 - 41*i**2 - 1361*i - 22. Let n(l) = -12*l**3 + 8*l**2 + 272*l + 4. Let k(o) = 11*n(o) + 2*y(o). Find the second derivative of k(m) wrt m.\n' | b'-60*m + 12\n' | b'Let y(i) = 61*i**3 - 41*i**2 - 1361*i - 22. Let n(l) = -12*l**3 + 8*l**2 + 272*l + 4. Let k(o) = 11*n(o) + 2*y(o). Find the second derivative of k(m) wrt m.\n' | b'-60*m + 12\n' | deepmind/math_dataset |
b'Differentiate 2870 + 2*d**2 + 4133 - 1759 - 958 + 558*d + 2458 with respect to d.\n' | b'4*d + 558\n' | b'Differentiate 2870 + 2*d**2 + 4133 - 1759 - 958 + 558*d + 2458 with respect to d.\n' | b'4*d + 558\n' | deepmind/math_dataset |
b'Simplify (b**(-2/33)/b)**(3/14)/((b**(1/2)*b)/b)**(-2/27) assuming b is positive.\n' | b'b**(-113/594)\n' | b'Simplify (b**(-2/33)/b)**(3/14)/((b**(1/2)*b)/b)**(-2/27) assuming b is positive.\n' | b'b**(-113/594)\n' | deepmind/math_dataset |
b'Let u(p) be the first derivative of 4*p**3/3 + p**2/2 - 184. Let g = -2 + 4. Calculate u(g).\n' | b'18\n' | b'Let u(p) be the first derivative of 4*p**3/3 + p**2/2 - 184. Let g = -2 + 4. Calculate u(g).\n' | b'18\n' | deepmind/math_dataset |
b'Let g(n) = -10*n**2 + n + 2. Let f(b) = -3*b**2 - 12*b + 65. Let h be f(-7). What is g(h)?\n' | b'-36\n' | b'Let g(n) = -10*n**2 + n + 2. Let f(b) = -3*b**2 - 12*b + 65. Let h be f(-7). What is g(h)?\n' | b'-36\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, r: 11, p: 8}. Give prob of picking 1 r and 2 p.\n' | b'77/285\n' | b'Three letters picked without replacement from {i: 1, r: 11, p: 8}. Give prob of picking 1 r and 2 p.\n' | b'77/285\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 7, e: 2, o: 1}. Give prob of picking 1 g and 1 o.\n' | b'7/45\n' | b'Two letters picked without replacement from {g: 7, e: 2, o: 1}. Give prob of picking 1 g and 1 o.\n' | b'7/45\n' | deepmind/math_dataset |
b'Suppose 5*s - 4*i + 5 = 8, -3*s = -i - 6. Solve 16 = -4*a + 4*t, -10 - 8 = -3*a - s*t for a.\n' | b'1\n' | b'Suppose 5*s - 4*i + 5 = 8, -3*s = -i - 6. Solve 16 = -4*a + 4*t, -10 - 8 = -3*a - s*t for a.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (f/(f/(f*f*f/(f*f**(-7))*f)))**(-5) assuming f is positive.\n' | b'f**(-50)\n' | b'Simplify (f/(f/(f*f*f/(f*f**(-7))*f)))**(-5) assuming f is positive.\n' | b'f**(-50)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 11, j: 1}. Give prob of sequence kkj.\n' | b'1/12\n' | b'Three letters picked without replacement from {k: 11, j: 1}. Give prob of sequence kkj.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let c = 10 + -7. Solve -2*g - 2*n + 2 = 4, c*g - 2*n + 13 = 0 for g.\n' | b'-3\n' | b'Let c = 10 + -7. Solve -2*g - 2*n + 2 = 4, c*g - 2*n + 13 = 0 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 1, w: 4, d: 4, c: 2}.\n' | b'4/55\n' | b'Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 1, w: 4, d: 4, c: 2}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Differentiate 75*s + 9*s**2 - 75*s + 3 with respect to s.\n' | b'18*s\n' | b'Differentiate 75*s + 9*s**2 - 75*s + 3 with respect to s.\n' | b'18*s\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 3, j: 2}. Give prob of sequence aaa.\n' | b'1/10\n' | b'Three letters picked without replacement from {a: 3, j: 2}. Give prob of sequence aaa.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let x be 0/3*5/(-5). Solve x = -5*i + 2*o - 19, -3*o = i + 2*i + 3 for i.\n' | b'-3\n' | b'Let x be 0/3*5/(-5). Solve x = -5*i + 2*o - 19, -3*o = i + 2*i + 3 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 4*x = -6*x + 50. Solve -3*t = -4*j - j - 1, x*t = -j - 17 for j.\n' | b'-2\n' | b'Suppose 4*x = -6*x + 50. Solve -3*t = -4*j - j - 1, x*t = -j - 17 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 6, a: 2, l: 9}. Give prob of sequence lall.\n' | b'3/170\n' | b'Four letters picked without replacement from {z: 6, a: 2, l: 9}. Give prob of sequence lall.\n' | b'3/170\n' | deepmind/math_dataset |
b'Let i(w) = -w**2 + 4*w - 10. Let o be ((4 - 84/8) + 5)*-2. Calculate i(o).\n' | b'-7\n' | b'Let i(w) = -w**2 + 4*w - 10. Let o be ((4 - 84/8) + 5)*-2. Calculate i(o).\n' | b'-7\n' | deepmind/math_dataset |
b'Let d be ((-62)/(-3))/((-2)/(-3)). Suppose -5*g = -3*x + d - 4, 3*x + 3 = -5*g. Find the second derivative of h + h**x + 0*h**4 + h + h**4 wrt h.\n' | b'24*h**2\n' | b'Let d be ((-62)/(-3))/((-2)/(-3)). Suppose -5*g = -3*x + d - 4, 3*x + 3 = -5*g. Find the second derivative of h + h**x + 0*h**4 + h + h**4 wrt h.\n' | b'24*h**2\n' | deepmind/math_dataset |
b'Let o be (-8 - -1)*(-5)/(2 + -7). Let w(d) = -d**2 - 6*d + 8. Give w(o).\n' | b'1\n' | b'Let o be (-8 - -1)*(-5)/(2 + -7). Let w(d) = -d**2 - 6*d + 8. Give w(o).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (z**(-2/3))**(-18/7)*z/z**(1/6)*z**(1/2) assuming z is positive.\n' | b'z**(64/21)\n' | b'Simplify (z**(-2/3))**(-18/7)*z/z**(1/6)*z**(1/2) assuming z is positive.\n' | b'z**(64/21)\n' | deepmind/math_dataset |
b'Let f be 7*(-14)/(-343) + 89/7. Suppose -11*j + f*j = 10. Solve j*t - 5*y + 10 = 0, -1 = -t - 4*y + 2*y for t.\n' | b'-1\n' | b'Let f be 7*(-14)/(-343) + 89/7. Suppose -11*j + f*j = 10. Solve j*t - 5*y + 10 = 0, -1 = -t - 4*y + 2*y for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 m when two letters picked without replacement from zmgzzggzizmig.\n' | b'4/39\n' | b'Calculate prob of picking 1 g and 1 m when two letters picked without replacement from zmgzzggzizmig.\n' | b'4/39\n' | deepmind/math_dataset |
b'Simplify s**8/(s**(1/2)/s*s)*(s/(s/s**(1/3)))**(-1/22) assuming s is positive.\n' | b's**(247/33)\n' | b'Simplify s**8/(s**(1/2)/s*s)*(s/(s/s**(1/3)))**(-1/22) assuming s is positive.\n' | b's**(247/33)\n' | deepmind/math_dataset |
b'Let m(s) = -s**3 - 2*s**2 - 2*s + 1. Let f be m(-2). Let w = 19 + -16. Find the second derivative of c**f + w - 3 + c + 0 wrt c.\n' | b'20*c**3\n' | b'Let m(s) = -s**3 - 2*s**2 - 2*s + 1. Let f be m(-2). Let w = 19 + -16. Find the second derivative of c**f + w - 3 + c + 0 wrt c.\n' | b'20*c**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 o when two letters picked without replacement from wwwggwtgwogowww.\n' | b'2/105\n' | b'Calculate prob of picking 1 t and 1 o when two letters picked without replacement from wwwggwtgwogowww.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence dcoo when four letters picked without replacement from ocosyyscdssrs.\n' | b'1/4290\n' | b'Calculate prob of sequence dcoo when four letters picked without replacement from ocosyyscdssrs.\n' | b'1/4290\n' | deepmind/math_dataset |
b'Suppose 3*i - 84 = 132. Let c be (-4)/1 + i/12. Solve 2*m = 6, -c*m - 5 + 21 = 5*a for a.\n' | b'2\n' | b'Suppose 3*i - 84 = 132. Let c be (-4)/1 + i/12. Solve 2*m = 6, -c*m - 5 + 21 = 5*a for a.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence kck when three letters picked without replacement from cckckkkkck?\n' | b'1/6\n' | b'What is prob of sequence kck when three letters picked without replacement from cckckkkkck?\n' | b'1/6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, m: 4, z: 5, r: 3, h: 4, n: 1}. Give prob of sequence szhh.\n' | b'1/1224\n' | b'Four letters picked without replacement from {s: 1, m: 4, z: 5, r: 3, h: 4, n: 1}. Give prob of sequence szhh.\n' | b'1/1224\n' | deepmind/math_dataset |
b'Let u(s) = -11*s**2 - 6 - 12*s**2 + 6*s + 24*s**2. Suppose m - 2*p = 14, -3*m - m - 2*p = -56. Let t = m + -20. What is u(t)?\n' | b'-6\n' | b'Let u(s) = -11*s**2 - 6 - 12*s**2 + 6*s + 24*s**2. Suppose m - 2*p = 14, -3*m - m - 2*p = -56. Let t = m + -20. What is u(t)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (z**(-4/3)*z)**(-1/8)*(z/z**(1/16))**(-25) assuming z is positive.\n' | b'z**(-1123/48)\n' | b'Simplify (z**(-4/3)*z)**(-1/8)*(z/z**(1/16))**(-25) assuming z is positive.\n' | b'z**(-1123/48)\n' | deepmind/math_dataset |
b'Simplify ((w**(-2/21)*w)/(w**(-1/2)*w)*(w**1*w)**(2/81))/(w*w**(-3/5)/w*w**(-5)*(w/w**3)/(w/w**(-3/5))) assuming w is positive.\n' | b'w**(54739/5670)\n' | b'Simplify ((w**(-2/21)*w)/(w**(-1/2)*w)*(w**1*w)**(2/81))/(w*w**(-3/5)/w*w**(-5)*(w/w**3)/(w/w**(-3/5))) assuming w is positive.\n' | b'w**(54739/5670)\n' | deepmind/math_dataset |
b'Simplify ((d**(2/3)/d)**(-1/4))**(-16)/((d**(1/2)/d)**14/(d**(-5)*d**(-2/17))) assuming d is positive.\n' | b'd**(28/51)\n' | b'Simplify ((d**(2/3)/d)**(-1/4))**(-16)/((d**(1/2)/d)**14/(d**(-5)*d**(-2/17))) assuming d is positive.\n' | b'd**(28/51)\n' | deepmind/math_dataset |
b'Suppose a = j, 2*a + 4*j = -2*a + 24. Let f(i) = i**2 - i - 1. Let c be f(a). Let b be (12 - 4)/4 + -2. Solve 2*d - 4 = 0, c*d - 14 = r - b*d for r.\n' | b'-4\n' | b'Suppose a = j, 2*a + 4*j = -2*a + 24. Let f(i) = i**2 - i - 1. Let c be f(a). Let b be (12 - 4)/4 + -2. Solve 2*d - 4 = 0, c*d - 14 = r - b*d for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (i/i**(1/10)*i**(-5))/(i**(-6)*i**(1/24)) assuming i is positive.\n' | b'i**(223/120)\n' | b'Simplify (i/i**(1/10)*i**(-5))/(i**(-6)*i**(1/24)) assuming i is positive.\n' | b'i**(223/120)\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 2 p, and 1 b when four letters picked without replacement from pkkbppbp?\n' | b'12/35\n' | b'What is prob of picking 1 k, 2 p, and 1 b when four letters picked without replacement from pkkbppbp?\n' | b'12/35\n' | deepmind/math_dataset |
b'Suppose 4*p - 2 = 6. Suppose 3 = p*z + y + 10, 0 = z - 3*y + 7. Let w(g) = 2*g + 7. Let f(h) = 5*h + 15. Let b(j) = 3*f(j) - 7*w(j). Determine b(z).\n' | b'-8\n' | b'Suppose 4*p - 2 = 6. Suppose 3 = p*z + y + 10, 0 = z - 3*y + 7. Let w(g) = 2*g + 7. Let f(h) = 5*h + 15. Let b(j) = 3*f(j) - 7*w(j). Determine b(z).\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qquhchhh. What is prob of picking 2 h, 1 c, and 1 u?\n' | b'3/35\n' | b'Four letters picked without replacement from qquhchhh. What is prob of picking 2 h, 1 c, and 1 u?\n' | b'3/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zxyuuyu. What is prob of picking 1 u and 1 x?\n' | b'1/7\n' | b'Two letters picked without replacement from zxyuuyu. What is prob of picking 1 u and 1 x?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify p**(5/2)/(p/(p*p**(3/19))) assuming p is positive.\n' | b'p**(101/38)\n' | b'Simplify p**(5/2)/(p/(p*p**(3/19))) assuming p is positive.\n' | b'p**(101/38)\n' | deepmind/math_dataset |
b'Suppose -k - 7 = -7. Let m be (-4 + 1)*2/(k + -2). Solve -3*r = -3*w + 12, -m*r + 5*w - 11 = w for r.\n' | b'-5\n' | b'Suppose -k - 7 = -7. Let m be (-4 + 1)*2/(k + -2). Solve -3*r = -3*w + 12, -m*r + 5*w - 11 = w for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 3*n = -n + 3*h + 74, 2*n - 40 = 3*h. Let t(y) = 0*y**3 + 22*y**2 - y**3 - n*y**2 + 6 + 6*y. Calculate t(6).\n' | b'6\n' | b'Suppose 3*n = -n + 3*h + 74, 2*n - 40 = 3*h. Let t(y) = 0*y**3 + 22*y**2 - y**3 - n*y**2 + 6 + 6*y. Calculate t(6).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sssspsspbpsssss. Give prob of picking 2 s.\n' | b'11/21\n' | b'Two letters picked without replacement from sssspsspbpsssss. Give prob of picking 2 s.\n' | b'11/21\n' | deepmind/math_dataset |
b'Simplify ((l**(3/5)/l)/l)/(l*l**(2/9))*(l**4)**(-38) assuming l is positive.\n' | b'l**(-6958/45)\n' | b'Simplify ((l**(3/5)/l)/l)/(l*l**(2/9))*(l**4)**(-38) assuming l is positive.\n' | b'l**(-6958/45)\n' | deepmind/math_dataset |
b'Simplify (o**10*(((o*o**(-3/4))/o)/o)/o)/(o*o/o**(-6)*o/((o*o**(6/11))/o*o)) assuming o is positive.\n' | b'o**(-9/44)\n' | b'Simplify (o**10*(((o*o**(-3/4))/o)/o)/o)/(o*o/o**(-6)*o/((o*o**(6/11))/o*o)) assuming o is positive.\n' | b'o**(-9/44)\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnjj when four letters picked without replacement from rnjjnnznnwjnnznjjw.\n' | b'7/459\n' | b'Calculate prob of sequence nnjj when four letters picked without replacement from rnjjnnznnwjnnznjjw.\n' | b'7/459\n' | deepmind/math_dataset |
b'Let l be (43/(-3))/(9/54). Let r = l + 91. Suppose 5*n - 45 = -s - 2*s, 0 = r*n - 15. Solve -2*m + u + s = 0, u + 16 = m + 3*m for m.\n' | b'3\n' | b'Let l be (43/(-3))/(9/54). Let r = l + 91. Suppose 5*n - 45 = -s - 2*s, 0 = r*n - 15. Solve -2*m + u + s = 0, u + 16 = m + 3*m for m.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vcm when three letters picked without replacement from vmmmccmcvmvccmc.\n' | b'18/455\n' | b'Calculate prob of sequence vcm when three letters picked without replacement from vmmmccmcvmvccmc.\n' | b'18/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 1, j: 6, e: 2, h: 5, s: 1}. What is prob of sequence wjjh?\n' | b'5/1092\n' | b'Four letters picked without replacement from {w: 1, j: 6, e: 2, h: 5, s: 1}. What is prob of sequence wjjh?\n' | b'5/1092\n' | deepmind/math_dataset |
b'Simplify u**20/u**(2/11) assuming u is positive.\n' | b'u**(218/11)\n' | b'Simplify u**20/u**(2/11) assuming u is positive.\n' | b'u**(218/11)\n' | deepmind/math_dataset |
b'Let l(r) be the second derivative of -6*r**5/5 + r**3/6 - 12*r**2 - 2*r + 8. Differentiate l(x) with respect to x.\n' | b'-72*x**2 + 1\n' | b'Let l(r) be the second derivative of -6*r**5/5 + r**3/6 - 12*r**2 - 2*r + 8. Differentiate l(x) with respect to x.\n' | b'-72*x**2 + 1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, k: 8}. Give prob of sequence pp.\n' | b'1/45\n' | b'Two letters picked without replacement from {p: 2, k: 8}. Give prob of sequence pp.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let b(c) = -2*c**2 + 23*c + 1767. Let f be b(36). Solve s - 5*w = -f*w - 1, 18 = 3*s + w for s.\n' | b'5\n' | b'Let b(c) = -2*c**2 + 23*c + 1767. Let f be b(36). Solve s - 5*w = -f*w - 1, 18 = 3*s + w for s.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 1, y: 1, q: 2, r: 2, u: 1}. Give prob of sequence uqrr.\n' | b'1/210\n' | b'Four letters picked without replacement from {z: 1, y: 1, q: 2, r: 2, u: 1}. Give prob of sequence uqrr.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let d be 0 - (-1)/((-3)/(-30)). Suppose f + d = 3*f. Solve 0 = -4*a + 2*v + f + 5, a + 4*v - 16 = 0 for a.\n' | b'4\n' | b'Let d be 0 - (-1)/((-3)/(-30)). Suppose f + d = 3*f. Solve 0 = -4*a + 2*v + f + 5, a + 4*v - 16 = 0 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((a/a**0)/a)/a)**(-1/49)*(a**(-1)/a)**16 assuming a is positive.\n' | b'a**(-1567/49)\n' | b'Simplify (((a/a**0)/a)/a)**(-1/49)*(a**(-1)/a)**16 assuming a is positive.\n' | b'a**(-1567/49)\n' | deepmind/math_dataset |
b'What is prob of sequence kkkk when four letters picked without replacement from {k: 9, f: 4, t: 4}?\n' | b'9/170\n' | b'What is prob of sequence kkkk when four letters picked without replacement from {k: 9, f: 4, t: 4}?\n' | b'9/170\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 1 r when three letters picked without replacement from jjjjjjrrjjjr?\n' | b'27/55\n' | b'What is prob of picking 2 j and 1 r when three letters picked without replacement from jjjjjjrrjjjr?\n' | b'27/55\n' | deepmind/math_dataset |
b'Let l(j) = -j**3 + 9*j**2 - 7*j - 5. Suppose 3*z = 24 - 0. Let k be l(z). Let y(r) = -r**2 + 2*r - 4. Calculate y(k).\n' | b'-7\n' | b'Let l(j) = -j**3 + 9*j**2 - 7*j - 5. Suppose 3*z = 24 - 0. Let k be l(z). Let y(r) = -r**2 + 2*r - 4. Calculate y(k).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 10, y: 4}. Give prob of picking 2 y and 1 u.\n' | b'15/91\n' | b'Three letters picked without replacement from {u: 10, y: 4}. Give prob of picking 2 y and 1 u.\n' | b'15/91\n' | deepmind/math_dataset |
b'Let k(h) = -10*h**2 - 27*h + 24*h + 11*h**2. Let i(l) = -2*l**2 + 17*l - 1. Let t(s) = i(s) + 5*k(s). Determine t(1).\n' | b'4\n' | b'Let k(h) = -10*h**2 - 27*h + 24*h + 11*h**2. Let i(l) = -2*l**2 + 17*l - 1. Let t(s) = i(s) + 5*k(s). Determine t(1).\n' | b'4\n' | deepmind/math_dataset |
b'Let v(h) be the third derivative of h**8/168 - 233*h**6/60 - h**5/60 + 217*h**3/6 + 831*h**2. What is the third derivative of v(q) wrt q?\n' | b'120*q**2 - 2796\n' | b'Let v(h) be the third derivative of h**8/168 - 233*h**6/60 - h**5/60 + 217*h**3/6 + 831*h**2. What is the third derivative of v(q) wrt q?\n' | b'120*q**2 - 2796\n' | deepmind/math_dataset |
b'Let d = 53 - 50. Find the third derivative of 6*o**2 + 17*o**d - 37*o**3 - 9*o**2 - 6*o**2 wrt o.\n' | b'-120\n' | b'Let d = 53 - 50. Find the third derivative of 6*o**2 + 17*o**d - 37*o**3 - 9*o**2 - 6*o**2 wrt o.\n' | b'-120\n' | deepmind/math_dataset |
b'Let v(p) be the first derivative of -25*p**5 - 222*p + 291. Differentiate v(d) with respect to d.\n' | b'-500*d**3\n' | b'Let v(p) be the first derivative of -25*p**5 - 222*p + 291. Differentiate v(d) with respect to d.\n' | b'-500*d**3\n' | deepmind/math_dataset |
b'Simplify z**2*z**6/z*(z**(2/51)*z)/z*z*z/z**(-3/13) assuming z is positive.\n' | b'z**(6146/663)\n' | b'Simplify z**2*z**6/z*(z**(2/51)*z)/z*z*z/z**(-3/13) assuming z is positive.\n' | b'z**(6146/663)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wssxbvbsssww. What is prob of picking 3 w?\n' | b'1/220\n' | b'Three letters picked without replacement from wssxbvbsssww. What is prob of picking 3 w?\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify ((o**(-1)/o)**(-3/17))**24*((o*(o*o**(2/9)/o)/o)/o)**(2/45)*o*o**(-4)*o*o**(-1/2) assuming o is positive.\n' | b'o**(81739/13770)\n' | b'Simplify ((o**(-1)/o)**(-3/17))**24*((o*(o*o**(2/9)/o)/o)/o)**(2/45)*o*o**(-4)*o*o**(-1/2) assuming o is positive.\n' | b'o**(81739/13770)\n' | deepmind/math_dataset |
b'Simplify x/(x*x**(-3/2)*x*x)*x**(2/99) assuming x is positive.\n' | b'x**(-95/198)\n' | b'Simplify x/(x*x**(-3/2)*x*x)*x**(2/99) assuming x is positive.\n' | b'x**(-95/198)\n' | deepmind/math_dataset |
b'Let u be 2 - ((-1 - 1) + 2). Let h(o) = 2 - o + 5 - u. Let y be ((-17)/(-4) - 1) + (-138)/(-184). What is h(y)?\n' | b'1\n' | b'Let u be 2 - ((-1 - 1) + 2). Let h(o) = 2 - o + 5 - u. Let y be ((-17)/(-4) - 1) + (-138)/(-184). What is h(y)?\n' | b'1\n' | deepmind/math_dataset |
b'Let m(g) = 7*g**4 + 4*g**3 + 4*g**2 + 20. Let n(x) = -14*x**4 - 9*x**3 - 9*x**2 - 41. Let j(s) = -9*m(s) - 4*n(s). What is the first derivative of j(r) wrt r?\n' | b'-28*r**3\n' | b'Let m(g) = 7*g**4 + 4*g**3 + 4*g**2 + 20. Let n(x) = -14*x**4 - 9*x**3 - 9*x**2 - 41. Let j(s) = -9*m(s) - 4*n(s). What is the first derivative of j(r) wrt r?\n' | b'-28*r**3\n' | deepmind/math_dataset |
b'Let r(f) = -23*f**2 + 49*f**3 - 47*f**3 - 14 + 4*f + 13*f - 5*f. Determine r(11).\n' | b'-3\n' | b'Let r(f) = -23*f**2 + 49*f**3 - 47*f**3 - 14 + 4*f + 13*f - 5*f. Determine r(11).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (t*t**(-5))/(t/t**(-32))*(t**(-43)/t)/(t**(-8/7)/t) assuming t is positive.\n' | b't**(-552/7)\n' | b'Simplify (t*t**(-5))/(t/t**(-32))*(t**(-43)/t)/(t**(-8/7)/t) assuming t is positive.\n' | b't**(-552/7)\n' | deepmind/math_dataset |
b'Suppose 0 = -4*m - m - 20, 2*m + 18 = 2*b. Suppose -b*k = -2*k. Let w(d) be the third derivative of d**4/24 - 7*d**3/3 + d**2 + 216. What is w(k)?\n' | b'-14\n' | b'Suppose 0 = -4*m - m - 20, 2*m + 18 = 2*b. Suppose -b*k = -2*k. Let w(d) be the third derivative of d**4/24 - 7*d**3/3 + d**2 + 216. What is w(k)?\n' | b'-14\n' | deepmind/math_dataset |
b'Suppose -4*l + 0*l + 12 = 4*u, -4*u = -4. Let d(h) = 11 - 5 + h**3 - 7*h + 5*h**l - 9. Let z be d(-6). Solve 2*x = t - 3, 3 = 4*t - z*t for x.\n' | b'0\n' | b'Suppose -4*l + 0*l + 12 = 4*u, -4*u = -4. Let d(h) = 11 - 5 + h**3 - 7*h + 5*h**l - 9. Let z be d(-6). Solve 2*x = t - 3, 3 = 4*t - z*t for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(d) = 2*d**2 + 9*d - 14. Let m be c(-6). Suppose m*i = -5*i + 18. Find the second derivative of -6*l - 5*l**2 + 2*l - i*l - 2*l wrt l.\n' | b'-10\n' | b'Let c(d) = 2*d**2 + 9*d - 14. Let m be c(-6). Suppose m*i = -5*i + 18. Find the second derivative of -6*l - 5*l**2 + 2*l - i*l - 2*l wrt l.\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gzgagga. What is prob of picking 1 a, 1 g, and 1 z?\n' | b'8/35\n' | b'Three letters picked without replacement from gzgagga. What is prob of picking 1 a, 1 g, and 1 z?\n' | b'8/35\n' | deepmind/math_dataset |
b'Suppose -4*p + 52 = -5*a, p + 20 = -4*a - 9. Let u(w) = 6*w**2 + 4*w + 9. Let r(l) = -7*l**2 - 3*l - 9. Let f(z) = 5*r(z) + 6*u(z). Determine f(a).\n' | b'1\n' | b'Suppose -4*p + 52 = -5*a, p + 20 = -4*a - 9. Let u(w) = 6*w**2 + 4*w + 9. Let r(l) = -7*l**2 - 3*l - 9. Let f(z) = 5*r(z) + 6*u(z). Determine f(a).\n' | b'1\n' | deepmind/math_dataset |
b'Let f be -1 + (-2 - 0) - -2. Let y be -2 - 3/(2 - f). Let o be (0 - 1)/(1/y). Solve -4 = -2*i + 3*s, -6 = -o*i + 4*s - 0 for i.\n' | b'2\n' | b'Let f be -1 + (-2 - 0) - -2. Let y be -2 - 3/(2 - f). Let o be (0 - 1)/(1/y). Solve -4 = -2*i + 3*s, -6 = -o*i + 4*s - 0 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 3 z when four letters picked without replacement from {p: 1, o: 2, z: 4}.\n' | b'4/35\n' | b'Calculate prob of picking 1 p and 3 z when four letters picked without replacement from {p: 1, o: 2, z: 4}.\n' | b'4/35\n' | deepmind/math_dataset |
b'What is prob of sequence zhah when four letters picked without replacement from {h: 2, y: 1, a: 1, z: 2}?\n' | b'1/90\n' | b'What is prob of sequence zhah when four letters picked without replacement from {h: 2, y: 1, a: 1, z: 2}?\n' | b'1/90\n' | deepmind/math_dataset |
b'Simplify ((p**(-1)*p)**(-2/123))**(1/7) assuming p is positive.\n' | b'1\n' | b'Simplify ((p**(-1)*p)**(-2/123))**(1/7) assuming p is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Differentiate g - 111188 + 102938 + 2*g - 3*g + 8739*g**2 with respect to g.\n' | b'17478*g\n' | b'Differentiate g - 111188 + 102938 + 2*g - 3*g + 8739*g**2 with respect to g.\n' | b'17478*g\n' | deepmind/math_dataset |
b'Let x = 897 + -892. Solve x*o = 0, 3*s + 4*o - 7 + 1 = 0 for s.\n' | b'2\n' | b'Let x = 897 + -892. Solve x*o = 0, 3*s + 4*o - 7 + 1 = 0 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let f be 2*(5/(-2) + 1). Let v be ((-1)/f - 1)*-3. Find the third derivative of -u**2 + 7*u**6 + 6*u**v - 6*u**2 - u**2 wrt u.\n' | b'840*u**3\n' | b'Let f be 2*(5/(-2) + 1). Let v be ((-1)/f - 1)*-3. Find the third derivative of -u**2 + 7*u**6 + 6*u**v - 6*u**2 - u**2 wrt u.\n' | b'840*u**3\n' | deepmind/math_dataset |
b'Simplify ((v**(2/3))**(-2/9))**(3/4)/((v**(-2/13)*v)/(v**(-6)*v))**9 assuming v is positive.\n' | b'v**(-6169/117)\n' | b'Simplify ((v**(2/3))**(-2/9))**(3/4)/((v**(-2/13)*v)/(v**(-6)*v))**9 assuming v is positive.\n' | b'v**(-6169/117)\n' | deepmind/math_dataset |
b'Let o(h) be the second derivative of -h**5/20 - h**4/6 - h**3/3 - h**2/2 - 15*h. Give o(-2).\n' | b'3\n' | b'Let o(h) be the second derivative of -h**5/20 - h**4/6 - h**3/3 - h**2/2 - 15*h. Give o(-2).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkkrkrkgkgks. What is prob of picking 2 r?\n' | b'1/66\n' | b'Two letters picked without replacement from kkkrkrkgkgks. What is prob of picking 2 r?\n' | b'1/66\n' | deepmind/math_dataset |
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