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'Three letters picked without replacement from {g: 3, x: 7}. What is prob of picking 2 x and 1 g?\n' | b'21/40\n' | b'Three letters picked without replacement from {g: 3, x: 7}. What is prob of picking 2 x and 1 g?\n' | b'21/40\n' | deepmind/math_dataset |
b'Suppose -44*d + 41*d - 5 = k, -k - 6 = 4*d. Let s(v) = -3*v - 1. Determine s(k).\n' | b'5\n' | b'Suppose -44*d + 41*d - 5 = k, -k - 6 = 4*d. Let s(v) = -3*v - 1. Determine s(k).\n' | b'5\n' | deepmind/math_dataset |
b'Let r(p) = -p - 7. Let u be r(-9). Let y = u + 1. Find the second derivative of 2*s**4 - 7*s + y - 3 wrt s.\n' | b'24*s**2\n' | b'Let r(p) = -p - 7. Let u be r(-9). Let y = u + 1. Find the second derivative of 2*s**4 - 7*s + y - 3 wrt s.\n' | b'24*s**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 3 q when four letters picked without replacement from {q: 9, j: 3}?\n' | b'28/55\n' | b'What is prob of picking 1 j and 3 q when four letters picked without replacement from {q: 9, j: 3}?\n' | b'28/55\n' | deepmind/math_dataset |
b'Suppose -2 = 5*t - 12. Suppose 2*r = -t*r + 36. Let h be ((-3)/(-9))/(1/r). Solve -h*q = n + 14, 0*q + 5*q + 24 = -n for q.\n' | b'-5\n' | b'Suppose -2 = 5*t - 12. Suppose 2*r = -t*r + 36. Let h be ((-3)/(-9))/(1/r). Solve -h*q = n + 14, 0*q + 5*q + 24 = -n for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wlvclwlgwxgx. Give prob of sequence vwwx.\n' | b'1/990\n' | b'Four letters picked without replacement from wlvclwlgwxgx. Give prob of sequence vwwx.\n' | b'1/990\n' | deepmind/math_dataset |
b'Calculate prob of sequence vva when three letters picked without replacement from {v: 2, a: 9}.\n' | b'1/55\n' | b'Calculate prob of sequence vva when three letters picked without replacement from {v: 2, a: 9}.\n' | b'1/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 1, f: 3, n: 4}. What is prob of sequence nwn?\n' | b'1/28\n' | b'Three letters picked without replacement from {w: 1, f: 3, n: 4}. What is prob of sequence nwn?\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kahhbzhsszakhh. What is prob of sequence kb?\n' | b'1/91\n' | b'Two letters picked without replacement from kahhbzhsszakhh. What is prob of sequence kb?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let v(n) = 8*n - 68. Let r be v(9). Solve -r*m + 3*o = 2, 0 = m + 2*o - 3*o + 1 for m.\n' | b'1\n' | b'Let v(n) = 8*n - 68. Let r be v(9). Solve -r*m + 3*o = 2, 0 = m + 2*o - 3*o + 1 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mmmmmmmjmjm. Give prob of picking 4 m.\n' | b'21/55\n' | b'Four letters picked without replacement from mmmmmmmjmjm. Give prob of picking 4 m.\n' | b'21/55\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 i, and 1 t when three letters picked without replacement from {t: 1, r: 1, n: 1, d: 1, i: 1}?\n' | b'1/10\n' | b'What is prob of picking 1 r, 1 i, and 1 t when three letters picked without replacement from {t: 1, r: 1, n: 1, d: 1, i: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 2, h: 4, w: 4}. Give prob of sequence ww.\n' | b'2/15\n' | b'Two letters picked without replacement from {t: 2, h: 4, w: 4}. Give prob of sequence ww.\n' | b'2/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 10, f: 4}. Give prob of picking 1 f and 1 k.\n' | b'40/91\n' | b'Two letters picked without replacement from {k: 10, f: 4}. Give prob of picking 1 f and 1 k.\n' | b'40/91\n' | deepmind/math_dataset |
b'Let r = -71 + 76. Solve 2*t - 5 = -i, 3*t + r*i = 13 + 12 for t.\n' | b'0\n' | b'Let r = -71 + 76. Solve 2*t - 5 = -i, 3*t + r*i = 13 + 12 for t.\n' | b'0\n' | deepmind/math_dataset |
b'Let x = 7 - 7. Let r(d) = -d**3 + 2*d**2 + d - 4. Suppose 5 = 5*a + 6*n - 3*n, 3*a - 2*n + 16 = 0. Let t be r(a). Solve -3*w + 2*g = w + t, x = 3*w - 3*g for w.\n' | b'-5\n' | b'Let x = 7 - 7. Let r(d) = -d**3 + 2*d**2 + d - 4. Suppose 5 = 5*a + 6*n - 3*n, 3*a - 2*n + 16 = 0. Let t be r(a). Solve -3*w + 2*g = w + t, x = 3*w - 3*g for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r be (-6)/5*595/(-14). What is the second derivative of -3*v + r*v**2 + 3*v + 46*v wrt v?\n' | b'102\n' | b'Let r be (-6)/5*595/(-14). What is the second derivative of -3*v + r*v**2 + 3*v + 46*v wrt v?\n' | b'102\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 4}. Give prob of sequence jjjj.\n' | b'1\n' | b'Four letters picked without replacement from {j: 4}. Give prob of sequence jjjj.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 4*t - 6*t = 8, 5*f - 2*t - 38 = 0. Let b(x) = 20*x**2 + 50*x + 33. Let m(z) = -7*z**2 - 17*z - 11. Let h(v) = f*b(v) + 17*m(v). Determine h(-9).\n' | b'-7\n' | b'Suppose 4*t - 6*t = 8, 5*f - 2*t - 38 = 0. Let b(x) = 20*x**2 + 50*x + 33. Let m(z) = -7*z**2 - 17*z - 11. Let h(v) = f*b(v) + 17*m(v). Determine h(-9).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((t**(1/4)*t)**(2/31))**(-8/3) assuming t is positive.\n' | b't**(-20/93)\n' | b'Simplify ((t**(1/4)*t)**(2/31))**(-8/3) assuming t is positive.\n' | b't**(-20/93)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ppazzppappappapzpzp. What is prob of sequence azaa?\n' | b'1/969\n' | b'Four letters picked without replacement from ppazzppappappapzpzp. What is prob of sequence azaa?\n' | b'1/969\n' | deepmind/math_dataset |
b'Let f(z) be the second derivative of z**3/6 + 4*z**2 + z - 35. Give f(-2).\n' | b'6\n' | b'Let f(z) be the second derivative of z**3/6 + 4*z**2 + z - 35. Give f(-2).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssaasrassasasra. What is prob of picking 2 r and 1 s?\n' | b'1/65\n' | b'Three letters picked without replacement from ssaasrassasasra. What is prob of picking 2 r and 1 s?\n' | b'1/65\n' | deepmind/math_dataset |
b'Let v(q) = -7*q**3 - 2*q**2 + 2*q + 7. Let y(h) = -2*h**2 + h**2 + 5 - 5 + h - 1. Let j(i) = v(i) - 2*y(i). Differentiate j(n) wrt n.\n' | b'-21*n**2\n' | b'Let v(q) = -7*q**3 - 2*q**2 + 2*q + 7. Let y(h) = -2*h**2 + h**2 + 5 - 5 + h - 1. Let j(i) = v(i) - 2*y(i). Differentiate j(n) wrt n.\n' | b'-21*n**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence vv when two letters picked without replacement from {p: 3, i: 4, v: 11}.\n' | b'55/153\n' | b'Calculate prob of sequence vv when two letters picked without replacement from {p: 3, i: 4, v: 11}.\n' | b'55/153\n' | deepmind/math_dataset |
b'Let h(c) = 25*c - 4. Let a(o) = -142*o + 24. Let f(t) = 6*a(t) + 34*h(t). Suppose 4*l - 3*l = 8. What is f(l)?\n' | b'-8\n' | b'Let h(c) = 25*c - 4. Let a(o) = -142*o + 24. Let f(t) = 6*a(t) + 34*h(t). Suppose 4*l - 3*l = 8. What is f(l)?\n' | b'-8\n' | deepmind/math_dataset |
b'Let t be (1 - (-2 - -2))*0. Let l be t - 9/(18/(-4)). Suppose 3*u = l*u + 3. Solve u*v + 3*z = 0, 3*v + z + z - 5 = 0 for v.\n' | b'5\n' | b'Let t be (1 - (-2 - -2))*0. Let l be t - 9/(18/(-4)). Suppose 3*u = l*u + 3. Solve u*v + 3*z = 0, 3*v + z + z - 5 = 0 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let t be (-16)/72 + 94/18. Solve 0 = -5*n + 4*c + 11, t*n - c + 0*c = 14 for n.\n' | b'3\n' | b'Let t be (-16)/72 + 94/18. Solve 0 = -5*n + 4*c + 11, t*n - c + 0*c = 14 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 4*q - 3*q = 7. Let o be (3 - 3)/(5 + -6). Suppose 0 = -o*l - 2*l - 5*h - 2, 0 = 2*l + 3*h - 2. Solve 2*a = l*f - 10, 2*f = -5*a + q*f - 10 for a.\n' | b'1\n' | b'Suppose 4*q - 3*q = 7. Let o be (3 - 3)/(5 + -6). Suppose 0 = -o*l - 2*l - 5*h - 2, 0 = 2*l + 3*h - 2. Solve 2*a = l*f - 10, 2*f = -5*a + q*f - 10 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, t: 1, r: 5, e: 2}. What is prob of picking 2 t?\n' | b'0\n' | b'Two letters picked without replacement from {y: 1, t: 1, r: 5, e: 2}. What is prob of picking 2 t?\n' | b'0\n' | deepmind/math_dataset |
b'Let n be (-1)/(-4) - (-45)/12. Solve 0 = i - n*o - 6, -2*o + 7*o = -10 for i.\n' | b'-2\n' | b'Let n be (-1)/(-4) - (-45)/12. Solve 0 = i - n*o - 6, -2*o + 7*o = -10 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Let j(v) be the second derivative of 0*v**6 - 1/3*v**4 - 61/21*v**7 + 1/6*v**3 - 72*v + 1 + 0*v**5 + 0*v**2. What is the third derivative of j(z) wrt z?\n' | b'-7320*z**2\n' | b'Let j(v) be the second derivative of 0*v**6 - 1/3*v**4 - 61/21*v**7 + 1/6*v**3 - 72*v + 1 + 0*v**5 + 0*v**2. What is the third derivative of j(z) wrt z?\n' | b'-7320*z**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 4, b: 1, j: 2, m: 1}. Give prob of picking 1 j and 1 b.\n' | b'1/14\n' | b'Two letters picked without replacement from {o: 4, b: 1, j: 2, m: 1}. Give prob of picking 1 j and 1 b.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 5*f - 104 = 16. Suppose 13*a + 67 = 106. Solve 0*n + 4*n + f = 5*k, -n - 13 = -a*k for n.\n' | b'-1\n' | b'Suppose 5*f - 104 = 16. Suppose 13*a + 67 = 106. Solve 0*n + 4*n + f = 5*k, -n - 13 = -a*k for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence vgg when three letters picked without replacement from gvgg.\n' | b'1/4\n' | b'Calculate prob of sequence vgg when three letters picked without replacement from gvgg.\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose 5*z + 3 = -2. Let f = z - -6. Let o(y) = y**2 - 6*y - 2. Calculate o(f).\n' | b'-7\n' | b'Suppose 5*z + 3 = -2. Let f = z - -6. Let o(y) = y**2 - 6*y - 2. Calculate o(f).\n' | b'-7\n' | deepmind/math_dataset |
b'Let r(i) = 7*i**2 - 2*i - 1. Let b(g) = 4*g**2 - g. Let l(x) = 5*b(x) - 3*r(x). Calculate l(-3).\n' | b'-9\n' | b'Let r(i) = 7*i**2 - 2*i - 1. Let b(g) = 4*g**2 - g. Let l(x) = 5*b(x) - 3*r(x). Calculate l(-3).\n' | b'-9\n' | deepmind/math_dataset |
b'Let w(t) = -t - 1. Let j(z) = -2*z - 3. Let l(p) = -j(p) + 4*w(p). Let k be 12/(-8)*(33/9 - 3). Calculate l(k).\n' | b'1\n' | b'Let w(t) = -t - 1. Let j(z) = -2*z - 3. Let l(p) = -j(p) + 4*w(p). Let k be 12/(-8)*(33/9 - 3). Calculate l(k).\n' | b'1\n' | deepmind/math_dataset |
b'Let j(a) be the second derivative of -1727*a**5/20 - a**4/6 + 176*a**3/3 - 15*a + 13. What is the third derivative of j(w) wrt w?\n' | b'-10362\n' | b'Let j(a) be the second derivative of -1727*a**5/20 - a**4/6 + 176*a**3/3 - 15*a + 13. What is the third derivative of j(w) wrt w?\n' | b'-10362\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 1 c when two letters picked without replacement from rofcxyoyrcoc.\n' | b'1/22\n' | b'Calculate prob of picking 1 f and 1 c when two letters picked without replacement from rofcxyoyrcoc.\n' | b'1/22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lleeeellegellll. What is prob of picking 2 e and 2 l?\n' | b'4/13\n' | b'Four letters picked without replacement from lleeeellegellll. What is prob of picking 2 e and 2 l?\n' | b'4/13\n' | deepmind/math_dataset |
b'Simplify ((k/(k*k**6)*k*k*k/(k**7*k)*k*k*(k*k/(k*k**(3/8)))/k*k**(2/5))**(-18/13))**(-3/11) assuming k is positive.\n' | b'k**(-9693/2860)\n' | b'Simplify ((k/(k*k**6)*k*k*k/(k**7*k)*k*k*(k*k/(k*k**(3/8)))/k*k**(2/5))**(-18/13))**(-3/11) assuming k is positive.\n' | b'k**(-9693/2860)\n' | deepmind/math_dataset |
b'What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuu?\n' | b'1\n' | b'What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuu?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((f**(-2/9)/f**(-3/5)*f**(-5)*f*f**(-3))**(-49))**32 assuming f is positive.\n' | b'f**(467264/45)\n' | b'Simplify ((f**(-2/9)/f**(-3/5)*f**(-5)*f*f**(-3))**(-49))**32 assuming f is positive.\n' | b'f**(467264/45)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 12, y: 7}. What is prob of picking 1 m and 3 y?\n' | b'35/323\n' | b'Four letters picked without replacement from {m: 12, y: 7}. What is prob of picking 1 m and 3 y?\n' | b'35/323\n' | deepmind/math_dataset |
b'Let p be (-266)/(-56) - (-2)/8. Solve -2*i - 2*h = -4*h - 12, 3*i + 14 = -p*h for i.\n' | b'2\n' | b'Let p be (-266)/(-56) - (-2)/8. Solve -2*i - 2*h = -4*h - 12, 3*i + 14 = -p*h for i.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence kv when two letters picked without replacement from {l: 2, k: 1, x: 2, v: 1, t: 3, h: 3}.\n' | b'1/132\n' | b'Calculate prob of sequence kv when two letters picked without replacement from {l: 2, k: 1, x: 2, v: 1, t: 3, h: 3}.\n' | b'1/132\n' | deepmind/math_dataset |
b'Let j(l) be the third derivative of l**5/60 - 7*l**4/6 + 13*l**3/2 - 5*l**2. Let p be j(27). Differentiate 25 - p*r**2 + 4 - 4 + 6 wrt r.\n' | b'-24*r\n' | b'Let j(l) be the third derivative of l**5/60 - 7*l**4/6 + 13*l**3/2 - 5*l**2. Let p be j(27). Differentiate 25 - p*r**2 + 4 - 4 + 6 wrt r.\n' | b'-24*r\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bpxurur. Give prob of sequence pub.\n' | b'1/105\n' | b'Three letters picked without replacement from bpxurur. Give prob of sequence pub.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let x(r) be the first derivative of r**7/840 - r**6/72 + r**5/60 + r**4/6 - 5*r**3/3 + 8. Let p(l) be the third derivative of x(l). Calculate p(3).\n' | b'-8\n' | b'Let x(r) be the first derivative of r**7/840 - r**6/72 + r**5/60 + r**4/6 - 5*r**3/3 + 8. Let p(l) be the third derivative of x(l). Calculate p(3).\n' | b'-8\n' | deepmind/math_dataset |
b'Let u(g) = -6*g**3 + g**2. Suppose 7*l + 152 = -86. Let p = -30 - l. Suppose 11 = p*d + 7. Calculate u(d).\n' | b'-5\n' | b'Let u(g) = -6*g**3 + g**2. Suppose 7*l + 152 = -86. Let p = -30 - l. Suppose 11 = p*d + 7. Calculate u(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Let n(t) = -109*t + 6215. Let f be n(57). Solve 18 = 13*v - 15*v + f*l, v + 13 = 2*l for v.\n' | b'-5\n' | b'Let n(t) = -109*t + 6215. Let f be n(57). Solve 18 = 13*v - 15*v + f*l, v + 13 = 2*l for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Let h(v) = 156*v - 455*v - v**2 + 148*v + 152*v. What is h(1)?\n' | b'0\n' | b'Let h(v) = 156*v - 455*v - v**2 + 148*v + 152*v. What is h(1)?\n' | b'0\n' | deepmind/math_dataset |
b'Let u = -11 + 6. Let y be ((-6)/u)/(2/10). Solve -3*v = 3*h + 18, -h - y + 3 = -2*v for h.\n' | b'-5\n' | b'Let u = -11 + 6. Let y be ((-6)/u)/(2/10). Solve -3*v = 3*h + 18, -h - y + 3 = -2*v for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mumuuuuuuumu. What is prob of picking 1 u and 1 m?\n' | b'9/22\n' | b'Two letters picked without replacement from mumuuuuuuumu. What is prob of picking 1 u and 1 m?\n' | b'9/22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 5, y: 6, u: 2, s: 1, g: 2}. What is prob of sequence puy?\n' | b'1/56\n' | b'Three letters picked without replacement from {p: 5, y: 6, u: 2, s: 1, g: 2}. What is prob of sequence puy?\n' | b'1/56\n' | deepmind/math_dataset |
b'Let z(h) be the third derivative of 1/30*h**5 - 4*h**2 + 0 + 1/3*h**3 + 0*h + 0*h**4. Find the first derivative of z(k) wrt k.\n' | b'4*k\n' | b'Let z(h) be the third derivative of 1/30*h**5 - 4*h**2 + 0 + 1/3*h**3 + 0*h + 0*h**4. Find the first derivative of z(k) wrt k.\n' | b'4*k\n' | deepmind/math_dataset |
b'What is prob of sequence aak when three letters picked without replacement from dakddadkk?\n' | b'1/84\n' | b'What is prob of sequence aak when three letters picked without replacement from dakddadkk?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let i(r) = -r**3 - 2*r**2 - 11*r + 2. Let l(o) = 4*o**3 + 7*o**2 + 34*o - 7. Let n(w) = 7*i(w) + 2*l(w). Find the second derivative of n(x) wrt x.\n' | b'6*x\n' | b'Let i(r) = -r**3 - 2*r**2 - 11*r + 2. Let l(o) = 4*o**3 + 7*o**2 + 34*o - 7. Let n(w) = 7*i(w) + 2*l(w). Find the second derivative of n(x) wrt x.\n' | b'6*x\n' | deepmind/math_dataset |
b'Let t = -74 - -80. Let x(p) = 15*p**3 - 6*p**2 + p - 35. Let w(d) = -d**3 - d**2 + 1. Let h(c) = t*w(c) - x(c). What is the first derivative of h(m) wrt m?\n' | b'-63*m**2 - 1\n' | b'Let t = -74 - -80. Let x(p) = 15*p**3 - 6*p**2 + p - 35. Let w(d) = -d**3 - d**2 + 1. Let h(c) = t*w(c) - x(c). What is the first derivative of h(m) wrt m?\n' | b'-63*m**2 - 1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from scsocosscossssoosoo. What is prob of picking 2 s?\n' | b'4/19\n' | b'Two letters picked without replacement from scsocosscossssoosoo. What is prob of picking 2 s?\n' | b'4/19\n' | deepmind/math_dataset |
b'Simplify ((r**(-38)/r*r**11)**(2/99))**(9/2) assuming r is positive.\n' | b'r**(-28/11)\n' | b'Simplify ((r**(-38)/r*r**11)**(2/99))**(9/2) assuming r is positive.\n' | b'r**(-28/11)\n' | deepmind/math_dataset |
b'What is prob of sequence kubb when four letters picked without replacement from {l: 2, b: 1, u: 2, k: 1}?\n' | b'0\n' | b'What is prob of sequence kubb when four letters picked without replacement from {l: 2, b: 1, u: 2, k: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Let s = -1372 + 1374. Let m = 6 - -1. Let d(l) = l**2. Let q be d(-2). Solve 0 = -q*o + a + 4*a - m, s = -2*a for o.\n' | b'-3\n' | b'Let s = -1372 + 1374. Let m = 6 - -1. Let d(l) = l**2. Let q be d(-2). Solve 0 = -q*o + a + 4*a - m, s = -2*a for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -65*n + 57 = -203. Solve -2*q = -n*i + 12, -2*q + 3*i + 21 = 28 for q.\n' | b'4\n' | b'Suppose -65*n + 57 = -203. Solve -2*q = -n*i + 12, -2*q + 3*i + 21 = 28 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = -3*m + 14 + 10. Suppose 4*z = 3*d + 6, 0*d = d + 2*z - m. Solve -4*y - 5*n + 9 = 0, d*y - 3*y = 4*n - 16 for y.\n' | b'-4\n' | b'Suppose 0 = -3*m + 14 + 10. Suppose 4*z = 3*d + 6, 0*d = d + 2*z - m. Solve -4*y - 5*n + 9 = 0, d*y - 3*y = 4*n - 16 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 9, v: 2, h: 2}. Give prob of picking 1 v and 2 r.\n' | b'36/143\n' | b'Three letters picked without replacement from {r: 9, v: 2, h: 2}. Give prob of picking 1 v and 2 r.\n' | b'36/143\n' | deepmind/math_dataset |
b'Simplify (((k/k**2)/k)/k**(3/8))**48 assuming k is positive.\n' | b'k**(-114)\n' | b'Simplify (((k/k**2)/k)/k**(3/8))**48 assuming k is positive.\n' | b'k**(-114)\n' | deepmind/math_dataset |
b'Let i(k) = k + 6. Suppose c - 3*r - 9 = 0, 35 = -5*c - r - 0. Determine i(c).\n' | b'0\n' | b'Let i(k) = k + 6. Suppose c - 3*r - 9 = 0, 35 = -5*c - r - 0. Determine i(c).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rpkkirkkkrikrkpkkkrr. Give prob of sequence ipr.\n' | b'1/285\n' | b'Three letters picked without replacement from rpkkirkkkrikrkpkkkrr. Give prob of sequence ipr.\n' | b'1/285\n' | deepmind/math_dataset |
b'What is prob of sequence wwcg when four letters picked without replacement from {r: 1, c: 1, g: 1, e: 1, w: 3}?\n' | b'1/140\n' | b'What is prob of sequence wwcg when four letters picked without replacement from {r: 1, c: 1, g: 1, e: 1, w: 3}?\n' | b'1/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaaaaaa. What is prob of sequence aa?\n' | b'1\n' | b'Two letters picked without replacement from aaaaaaaaa. What is prob of sequence aa?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from doiiiioiisiid. What is prob of picking 1 s, 1 d, and 1 o?\n' | b'2/143\n' | b'Three letters picked without replacement from doiiiioiisiid. What is prob of picking 1 s, 1 d, and 1 o?\n' | b'2/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 5, p: 2, l: 1, o: 1}. What is prob of picking 1 o, 1 l, and 1 k?\n' | b'5/84\n' | b'Three letters picked without replacement from {k: 5, p: 2, l: 1, o: 1}. What is prob of picking 1 o, 1 l, and 1 k?\n' | b'5/84\n' | deepmind/math_dataset |
b'Let o(q) = -q**3 + 8*q**2 + 9*q - 2. Suppose -2*d + 33 = 3*p, 5*d - d - 31 = p. Determine o(d).\n' | b'-2\n' | b'Let o(q) = -q**3 + 8*q**2 + 9*q - 2. Suppose -2*d + 33 = 3*p, 5*d - d - 31 = p. Determine o(d).\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(w) be the second derivative of -w**3/3 + w**2/2 + 6*w. Calculate l(-2).\n' | b'5\n' | b'Let l(w) be the second derivative of -w**3/3 + w**2/2 + 6*w. Calculate l(-2).\n' | b'5\n' | deepmind/math_dataset |
b'Let b be 26/4 + (-13)/26. Find the third derivative of 4*l**2 + 3*l**2 + 2*l**b + l**6 + 3*l**6 wrt l.\n' | b'720*l**3\n' | b'Let b be 26/4 + (-13)/26. Find the third derivative of 4*l**2 + 3*l**2 + 2*l**b + l**6 + 3*l**6 wrt l.\n' | b'720*l**3\n' | deepmind/math_dataset |
b'Suppose 5 - 1 = i. Suppose 12 - 8 = i*w. Let x(v) = w + 63*v - 60*v - 2. What is x(1)?\n' | b'2\n' | b'Suppose 5 - 1 = i. Suppose 12 - 8 = i*w. Let x(v) = w + 63*v - 60*v - 2. What is x(1)?\n' | b'2\n' | deepmind/math_dataset |
b'Let d(o) = o**2 - 15*o - 8. Let f be d(16). Let j(c) = f*c**3 - c**2 - 7*c**3 - c**2. Give j(2).\n' | b'0\n' | b'Let d(o) = o**2 - 15*o - 8. Let f be d(16). Let j(c) = f*c**3 - c**2 - 7*c**3 - c**2. Give j(2).\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 3, r: 3, h: 3, m: 1, q: 1}. What is prob of sequence mryr?\n' | b'1/440\n' | b'Four letters picked without replacement from {y: 3, r: 3, h: 3, m: 1, q: 1}. What is prob of sequence mryr?\n' | b'1/440\n' | deepmind/math_dataset |
b'Let w = 0 - 2. Let f(d) = -d + 2. What is f(w)?\n' | b'4\n' | b'Let w = 0 - 2. Let f(d) = -d + 2. What is f(w)?\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, t: 4, m: 6}.\n' | b'4/33\n' | b'Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, t: 4, m: 6}.\n' | b'4/33\n' | deepmind/math_dataset |
b'Let t be 4/18 + 280/36. Find the second derivative of 8 + 3*n**3 - t + n wrt n.\n' | b'18*n\n' | b'Let t be 4/18 + 280/36. Find the second derivative of 8 + 3*n**3 - t + n wrt n.\n' | b'18*n\n' | deepmind/math_dataset |
b'What is prob of sequence ff when two letters picked without replacement from hhhzjzfzzfbhbbbgzhb?\n' | b'1/171\n' | b'What is prob of sequence ff when two letters picked without replacement from hhhzjzfzzfbhbbbgzhb?\n' | b'1/171\n' | deepmind/math_dataset |
b'Let t(i) be the second derivative of i**4/24 - i**3/2 + i**2/2 + 3*i. Let o(w) be the first derivative of t(w). Find the first derivative of o(m) wrt m.\n' | b'1\n' | b'Let t(i) be the second derivative of i**4/24 - i**3/2 + i**2/2 + 3*i. Let o(w) be the first derivative of t(w). Find the first derivative of o(m) wrt m.\n' | b'1\n' | deepmind/math_dataset |
b'Find the second derivative of h + 3*h + h**4 - 1331*h**2 + 1350*h**2 wrt h.\n' | b'12*h**2 + 38\n' | b'Find the second derivative of h + 3*h + h**4 - 1331*h**2 + 1350*h**2 wrt h.\n' | b'12*h**2 + 38\n' | deepmind/math_dataset |
b'Simplify u**(-1/10)*u**(-2/5)/u assuming u is positive.\n' | b'u**(-3/2)\n' | b'Simplify u**(-1/10)*u**(-2/5)/u assuming u is positive.\n' | b'u**(-3/2)\n' | deepmind/math_dataset |
b'What is prob of sequence fl when two letters picked without replacement from lhfffffffff?\n' | b'9/110\n' | b'What is prob of sequence fl when two letters picked without replacement from lhfffffffff?\n' | b'9/110\n' | deepmind/math_dataset |
b'Let p = 5 - 3. Let q(z) = -2*z + 0 + 0*z**2 + 4 + z**p - 2*z. Let y be q(5). Solve -23 = 5*l + 2*c - 3*c, y = 3*c for l.\n' | b'-4\n' | b'Let p = 5 - 3. Let q(z) = -2*z + 0 + 0*z**2 + 4 + z**p - 2*z. Let y be q(5). Solve -23 = 5*l + 2*c - 3*c, y = 3*c for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(b) be the third derivative of -b**5/60 - 25*b**4/24 - 29*b**3/3 - b**2 - 6. What is the derivative of w(l) wrt l?\n' | b'-2*l - 25\n' | b'Let w(b) be the third derivative of -b**5/60 - 25*b**4/24 - 29*b**3/3 - b**2 - 6. What is the derivative of w(l) wrt l?\n' | b'-2*l - 25\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, t: 1, b: 3}. Give prob of picking 1 z, 1 b, and 1 t.\n' | b'3/10\n' | b'Three letters picked without replacement from {z: 1, t: 1, b: 3}. Give prob of picking 1 z, 1 b, and 1 t.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let b be (-224)/(-896) + 30/8. Solve -2*d = -b*g - 14, 5*g - 6 + 29 = -3*d for d.\n' | b'-1\n' | b'Let b be (-224)/(-896) + 30/8. Solve -2*d = -b*g - 14, 5*g - 6 + 29 = -3*d for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -8 = 4*f, 4*f + 16 = n - 0*n. Suppose -22 = -5*b + n. What is the second derivative of 26*y**2 + b*y**2 - 9*y - 9*y**2 wrt y?\n' | b'46\n' | b'Suppose -8 = 4*f, 4*f + 16 = n - 0*n. Suppose -22 = -5*b + n. What is the second derivative of 26*y**2 + b*y**2 - 9*y - 9*y**2 wrt y?\n' | b'46\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 g, 1 f, and 1 k when four letters picked without replacement from kfiigifgkiggfkgifm?\n' | b'1/51\n' | b'What is prob of picking 1 m, 1 g, 1 f, and 1 k when four letters picked without replacement from kfiigifgkiggfkgifm?\n' | b'1/51\n' | deepmind/math_dataset |
b'Simplify (h/(h**(-9)/h*h))**(17/6)*(h*(h*(h/((h/(h*h**(-4)))/h))/h*h)/h*h)**(-48) assuming h is positive.\n' | b'h**(85/3)\n' | b'Simplify (h/(h**(-9)/h*h))**(17/6)*(h*(h*(h/((h/(h*h**(-4)))/h))/h*h)/h*h)**(-48) assuming h is positive.\n' | b'h**(85/3)\n' | deepmind/math_dataset |
b'Let c(y) be the third derivative of -1/120*y**6 + 0 + 0*y - 9*y**2 + 5/24*y**4 - 1/3*y**3 - 1/30*y**5. What is c(-4)?\n' | b'10\n' | b'Let c(y) be the third derivative of -1/120*y**6 + 0 + 0*y - 9*y**2 + 5/24*y**4 - 1/3*y**3 - 1/30*y**5. What is c(-4)?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (q/q**(-17))/((q/q**(-2/37))/q) assuming q is positive.\n' | b'q**(664/37)\n' | b'Simplify (q/q**(-17))/((q/q**(-2/37))/q) assuming q is positive.\n' | b'q**(664/37)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, w: 2, l: 4}. Give prob of picking 2 l.\n' | b'2/7\n' | b'Two letters picked without replacement from {b: 1, w: 2, l: 4}. Give prob of picking 2 l.\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify (n/n**6*n)**(-45)*n**(-9)/(n/(n/(n*(n*n*n*n*n*n/n**(5/2)*n)/n*n))) assuming n is positive.\n' | b'n**(331/2)\n' | b'Simplify (n/n**6*n)**(-45)*n**(-9)/(n/(n/(n*(n*n*n*n*n*n/n**(5/2)*n)/n*n))) assuming n is positive.\n' | b'n**(331/2)\n' | deepmind/math_dataset |
b'Let j(u) be the first derivative of 4*u**5/5 + 61*u**4/4 + u**3 - 286*u**2 - 5213. Find the second derivative of j(s) wrt s.\n' | b'48*s**2 + 366*s + 6\n' | b'Let j(u) be the first derivative of 4*u**5/5 + 61*u**4/4 + u**3 - 286*u**2 - 5213. Find the second derivative of j(s) wrt s.\n' | b'48*s**2 + 366*s + 6\n' | deepmind/math_dataset |
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