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'What is prob of sequence nn when two letters picked without replacement from {m: 9, p: 2, n: 2, c: 1}?\n' | b'1/91\n' | b'What is prob of sequence nn when two letters picked without replacement from {m: 9, p: 2, n: 2, c: 1}?\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of sequence nb when two letters picked without replacement from nnnnnnnbnbnbnnn?\n' | b'6/35\n' | b'What is prob of sequence nb when two letters picked without replacement from nnnnnnnbnbnbnnn?\n' | b'6/35\n' | deepmind/math_dataset |
b'Let w(n) = -n**3 - n**2 + 4*n - 3. Suppose -d = -a, a + 8 = 5*d - 0*d. Give w(a).\n' | b'-7\n' | b'Let w(n) = -n**3 - n**2 + 4*n - 3. Suppose -d = -a, a + 8 = 5*d - 0*d. Give w(a).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rkrkrkm. What is prob of sequence rrm?\n' | b'1/35\n' | b'Three letters picked without replacement from rkrkrkm. What is prob of sequence rrm?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (((y**(-2)/y)**(-36)*y*y**7*y*(y*y**(-7))/y)**(-2/107))**(-2/141) assuming y is positive.\n' | b'y**(440/15087)\n' | b'Simplify (((y**(-2)/y)**(-36)*y*y**7*y*(y*y**(-7))/y)**(-2/107))**(-2/141) assuming y is positive.\n' | b'y**(440/15087)\n' | deepmind/math_dataset |
b'Simplify (v/v**(1/6))**(-1/6) assuming v is positive.\n' | b'v**(-5/36)\n' | b'Simplify (v/v**(1/6))**(-1/6) assuming v is positive.\n' | b'v**(-5/36)\n' | deepmind/math_dataset |
b'Let p(o) = 2*o**2 + 8*o - 3. Let t(x) = x**2 + 4*x - 2. Let g(z) = 3*p(z) - 5*t(z). Let u be g(-5). Let h(v) = -v - 2. Calculate h(u).\n' | b'-8\n' | b'Let p(o) = 2*o**2 + 8*o - 3. Let t(x) = x**2 + 4*x - 2. Let g(z) = 3*p(z) - 5*t(z). Let u be g(-5). Let h(v) = -v - 2. Calculate h(u).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 35*d - 750 = 29*d. Let m = 129 - d. Let f(i) = -i - 5. Let u be f(-10). Solve -4*x - m = 4*n, 4*n + n - u*x - 15 = 0 for n.\n' | b'1\n' | b'Suppose 35*d - 750 = 29*d. Let m = 129 - d. Let f(i) = -i - 5. Let u be f(-10). Solve -4*x - m = 4*n, 4*n + n - u*x - 15 = 0 for n.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(y) = 55656*y**2 + 116*y - 23752. Let f(r) = -1427*r**2 - 3*r + 609. Let x(p) = -232*f(p) - 6*i(p). What is the derivative of x(q) wrt q?\n' | b'-5744*q\n' | b'Let i(y) = 55656*y**2 + 116*y - 23752. Let f(r) = -1427*r**2 - 3*r + 609. Let x(p) = -232*f(p) - 6*i(p). What is the derivative of x(q) wrt q?\n' | b'-5744*q\n' | deepmind/math_dataset |
b'Suppose 8 = 2*i + a, a = -3*a. Let v(y) = 3 + 11*y**2 - i*y - 41*y**2 + 18*y**2 - y**3 + 18*y**2. Give v(6).\n' | b'-21\n' | b'Suppose 8 = 2*i + a, a = -3*a. Let v(y) = 3 + 11*y**2 - i*y - 41*y**2 + 18*y**2 - y**3 + 18*y**2. Give v(6).\n' | b'-21\n' | deepmind/math_dataset |
b'What is prob of sequence nnnw when four letters picked without replacement from {w: 5, n: 3}?\n' | b'1/56\n' | b'What is prob of sequence nnnw when four letters picked without replacement from {w: 5, n: 3}?\n' | b'1/56\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 9, n: 7, l: 3}. What is prob of sequence nhh?\n' | b'28/323\n' | b'Three letters picked without replacement from {h: 9, n: 7, l: 3}. What is prob of sequence nhh?\n' | b'28/323\n' | deepmind/math_dataset |
b'Let x = -65 + 67. Suppose -7*s + 2*s + 5*z + 35 = 0, x*s - 5*z = 29. Solve -2*m - s = 0, 0 = -2*d + 4*d - m + 7 for d.\n' | b'-4\n' | b'Let x = -65 + 67. Suppose -7*s + 2*s + 5*z + 35 = 0, x*s - 5*z = 29. Solve -2*m - s = 0, 0 = -2*d + 4*d - m + 7 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 5*a = -3*n + 463 + 187, 4*n = 0. Let p = -108 + a. Solve 5*f = -5*w + 40, 5*f = w + p - 0 for f.\n' | b'5\n' | b'Suppose 5*a = -3*n + 463 + 187, 4*n = 0. Let p = -108 + a. Solve 5*f = -5*w + 40, 5*f = w + p - 0 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let q(s) be the first derivative of 34 + 0*s**4 + 0*s + 0*s**3 - 33/2*s**2 + 4*s**5. Find the second derivative of q(j) wrt j.\n' | b'240*j**2\n' | b'Let q(s) be the first derivative of 34 + 0*s**4 + 0*s + 0*s**3 - 33/2*s**2 + 4*s**5. Find the second derivative of q(j) wrt j.\n' | b'240*j**2\n' | deepmind/math_dataset |
b'Suppose -3*n + 4*b + 35 = 0, 0*b + 2*b = -10. What is the first derivative of n + 8*x**2 - 4*x**2 - 9*x**2 wrt x?\n' | b'-10*x\n' | b'Suppose -3*n + 4*b + 35 = 0, 0*b + 2*b = -10. What is the first derivative of n + 8*x**2 - 4*x**2 - 9*x**2 wrt x?\n' | b'-10*x\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tkkttqtqdkw. Give prob of picking 1 w and 1 k.\n' | b'3/55\n' | b'Two letters picked without replacement from tkkttqtqdkw. Give prob of picking 1 w and 1 k.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let p be (-1 + -1 - -7) + -1. Suppose -3*g = -2*v - 13, 4*g - 3*g + p*v + 19 = 0. Find the first derivative of c**4 + 3 - 1 + g wrt c.\n' | b'4*c**3\n' | b'Let p be (-1 + -1 - -7) + -1. Suppose -3*g = -2*v - 13, 4*g - 3*g + p*v + 19 = 0. Find the first derivative of c**4 + 3 - 1 + g wrt c.\n' | b'4*c**3\n' | deepmind/math_dataset |
b'Let j(s) = -s + 1. Let u(w) = -12*w + 54. Let x(h) = -4*j(h) + u(h). Let m be x(6). Solve -5*c = m*a - 8, 4*a - a - 12 = -3*c for c.\n' | b'0\n' | b'Let j(s) = -s + 1. Let u(w) = -12*w + 54. Let x(h) = -4*j(h) + u(h). Let m be x(6). Solve -5*c = m*a - 8, 4*a - a - 12 = -3*c for c.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, g: 3, y: 2, r: 1, a: 4, o: 2}. What is prob of sequence oy?\n' | b'2/105\n' | b'Two letters picked without replacement from {i: 3, g: 3, y: 2, r: 1, a: 4, o: 2}. What is prob of sequence oy?\n' | b'2/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnmzznnzmtnn. What is prob of picking 1 t, 1 z, and 2 n?\n' | b'1/11\n' | b'Four letters picked without replacement from nnmzznnzmtnn. What is prob of picking 1 t, 1 z, and 2 n?\n' | b'1/11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ysbsttstttttwtsty. What is prob of picking 1 s, 2 y, and 1 w?\n' | b'1/595\n' | b'Four letters picked without replacement from ysbsttstttttwtsty. What is prob of picking 1 s, 2 y, and 1 w?\n' | b'1/595\n' | deepmind/math_dataset |
b'Let j(d) = -2*d. Let u(y) be the third derivative of 0 + 2*y**2 + 0*y - 1/24*y**4 - 1/3*y**3. Let l be u(-6). Determine j(l).\n' | b'-8\n' | b'Let j(d) = -2*d. Let u(y) be the third derivative of 0 + 2*y**2 + 0*y - 1/24*y**4 - 1/3*y**3. Let l be u(-6). Determine j(l).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify (q/((q*q*q**(-13)/q*q*q)/q))/((q**(-12)*q)/q)*q**(11/5)*q/q**(-26) assuming q is positive.\n' | b'q**(266/5)\n' | b'Simplify (q/((q*q*q**(-13)/q*q*q)/q))/((q**(-12)*q)/q)*q**(11/5)*q/q**(-26) assuming q is positive.\n' | b'q**(266/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 5, c: 1, d: 1, e: 3}. What is prob of picking 1 c and 3 i?\n' | b'1/21\n' | b'Four letters picked without replacement from {i: 5, c: 1, d: 1, e: 3}. What is prob of picking 1 c and 3 i?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (((u*u/(u/(u**(-2)*u*u)))/u)**(2/5)/(u**(1/4)/(u**(-1)/u)))/(u*u*u*u/((u/((u**0/u*u*u)/u)*u)/u*u*u)*u*u/u**(3/11))**19 assuming u is positive.\n' | b'u**(-2379/44)\n' | b'Simplify (((u*u/(u/(u**(-2)*u*u)))/u)**(2/5)/(u**(1/4)/(u**(-1)/u)))/(u*u*u*u/((u/((u**0/u*u*u)/u)*u)/u*u*u)*u*u/u**(3/11))**19 assuming u is positive.\n' | b'u**(-2379/44)\n' | deepmind/math_dataset |
b'Suppose -2*r = -0*r - 8. Solve 5*o + 26 = -6*m + r*m, -5*o + 4*m = 8 for o.\n' | b'-4\n' | b'Suppose -2*r = -0*r - 8. Solve 5*o + 26 = -6*m + r*m, -5*o + 4*m = 8 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 t, 1 a, and 1 k when four letters picked without replacement from teafetk?\n' | b'1/35\n' | b'What is prob of picking 2 t, 1 a, and 1 k when four letters picked without replacement from teafetk?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (k**(-4/9)*k)**(-48) assuming k is positive.\n' | b'k**(-80/3)\n' | b'Simplify (k**(-4/9)*k)**(-48) assuming k is positive.\n' | b'k**(-80/3)\n' | deepmind/math_dataset |
b'Let x(d) be the first derivative of d**3/3 - d**2/2 - d - 107. Calculate x(1).\n' | b'-1\n' | b'Let x(d) be the first derivative of d**3/3 - d**2/2 - d - 107. Calculate x(1).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 7*y = 4*y + 12. Let o be (-8)/32 + 101/y. Suppose 0 = -5*h - g + o, 0 = 5*h - 2*g - 2*g. Let z(m) = -m + 3. What is z(h)?\n' | b'-1\n' | b'Suppose 7*y = 4*y + 12. Let o be (-8)/32 + 101/y. Suppose 0 = -5*h - g + o, 0 = 5*h - 2*g - 2*g. Let z(m) = -m + 3. What is z(h)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (u**44*u)/(((u*u**(-38))/u)/u) assuming u is positive.\n' | b'u**84\n' | b'Simplify (u**44*u)/(((u*u**(-38))/u)/u) assuming u is positive.\n' | b'u**84\n' | deepmind/math_dataset |
b'Suppose -5*b + 39 = -16. Find the third derivative of 7*g**2 - 11*g**4 + b*g**4 + 6*g**5 wrt g.\n' | b'360*g**2\n' | b'Suppose -5*b + 39 = -16. Find the third derivative of 7*g**2 - 11*g**4 + b*g**4 + 6*g**5 wrt g.\n' | b'360*g**2\n' | deepmind/math_dataset |
b'What is prob of sequence ri when two letters picked without replacement from {u: 10, r: 1, i: 9}?\n' | b'9/380\n' | b'What is prob of sequence ri when two letters picked without replacement from {u: 10, r: 1, i: 9}?\n' | b'9/380\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kkkkkkvkkv. Give prob of picking 2 v and 1 k.\n' | b'1/15\n' | b'Three letters picked without replacement from kkkkkkvkkv. Give prob of picking 2 v and 1 k.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let j(t) be the first derivative of 0*t**2 + 0*t - 2*t**5 + 8/3*t**3 - 12 + 0*t**4. What is the third derivative of j(i) wrt i?\n' | b'-240*i\n' | b'Let j(t) be the first derivative of 0*t**2 + 0*t - 2*t**5 + 8/3*t**3 - 12 + 0*t**4. What is the third derivative of j(i) wrt i?\n' | b'-240*i\n' | deepmind/math_dataset |
b'Let g(s) be the first derivative of -s**3/3 + 2*s**2 + s - 2. Suppose 0 = -0*n - 5*n + 10. Suppose n*d + 8 = 2*q - 8, 0 = 3*q - d - 18. Determine g(q).\n' | b'-4\n' | b'Let g(s) be the first derivative of -s**3/3 + 2*s**2 + s - 2. Suppose 0 = -0*n - 5*n + 10. Suppose n*d + 8 = 2*q - 8, 0 = 3*q - d - 18. Determine g(q).\n' | b'-4\n' | deepmind/math_dataset |
b'Let n(l) = -l**3 + l - 1. Let u(f) = 2*f**3 - 5*f + 8. Let q(h) = 5*n(h) + u(h). Differentiate q(a) with respect to a.\n' | b'-9*a**2\n' | b'Let n(l) = -l**3 + l - 1. Let u(f) = 2*f**3 - 5*f + 8. Let q(h) = 5*n(h) + u(h). Differentiate q(a) with respect to a.\n' | b'-9*a**2\n' | deepmind/math_dataset |
b'Let c be -18 + (16 - -18) + -14. Let l(j) = j**2 - 6. Calculate l(c).\n' | b'-2\n' | b'Let c be -18 + (16 - -18) + -14. Let l(j) = j**2 - 6. Calculate l(c).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 11, b: 3}. Give prob of sequence bb.\n' | b'3/91\n' | b'Two letters picked without replacement from {g: 11, b: 3}. Give prob of sequence bb.\n' | b'3/91\n' | deepmind/math_dataset |
b'Let z(u) = -u + 10. Let t be z(5). Differentiate -19*m + t + 6 + 0 + 6 with respect to m.\n' | b'-19\n' | b'Let z(u) = -u + 10. Let t be z(5). Differentiate -19*m + t + 6 + 0 + 6 with respect to m.\n' | b'-19\n' | deepmind/math_dataset |
b'Let d(h) = -6*h**2 - 5*h - 4. Let v(b) = -6*b - 61. Let u be v(-10). Determine d(u).\n' | b'-5\n' | b'Let d(h) = -6*h**2 - 5*h - 4. Let v(b) = -6*b - 61. Let u be v(-10). Determine d(u).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 1, q: 4, x: 2, d: 4, a: 3}. Give prob of sequence qdzq.\n' | b'2/1001\n' | b'Four letters picked without replacement from {z: 1, q: 4, x: 2, d: 4, a: 3}. Give prob of sequence qdzq.\n' | b'2/1001\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 2, y: 7, h: 5, u: 5}. Give prob of picking 1 y, 1 u, and 1 r.\n' | b'70/969\n' | b'Three letters picked without replacement from {r: 2, y: 7, h: 5, u: 5}. Give prob of picking 1 y, 1 u, and 1 r.\n' | b'70/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from opoydog. What is prob of sequence godo?\n' | b'1/140\n' | b'Four letters picked without replacement from opoydog. What is prob of sequence godo?\n' | b'1/140\n' | deepmind/math_dataset |
b'Let q be (-651)/(-6) + -8 + 117/18. Solve 5*u = -4*r - q + 72, 0 = -u - 2*r - 13 for u.\n' | b'-3\n' | b'Let q be (-651)/(-6) + -8 + 117/18. Solve 5*u = -4*r - q + 72, 0 = -u - 2*r - 13 for u.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence hha when three letters picked without replacement from {a: 3, h: 9}?\n' | b'9/55\n' | b'What is prob of sequence hha when three letters picked without replacement from {a: 3, h: 9}?\n' | b'9/55\n' | deepmind/math_dataset |
b'Let a(u) = u**2 - 7*u - 5. Suppose 0 = 5*g + 2*v - 30, -3*v - 3 = 12. Determine a(g).\n' | b'3\n' | b'Let a(u) = u**2 - 7*u - 5. Suppose 0 = 5*g + 2*v - 30, -3*v - 3 = 12. Determine a(g).\n' | b'3\n' | deepmind/math_dataset |
b'Let k(c) = c**3 - 7*c**2 + 5*c - 6. Suppose -5*y = -l + 11, 2*y = 3*l - 17 - 3. Calculate k(l).\n' | b'-12\n' | b'Let k(c) = c**3 - 7*c**2 + 5*c - 6. Suppose -5*y = -l + 11, 2*y = 3*l - 17 - 3. Calculate k(l).\n' | b'-12\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 g when two letters picked without replacement from {z: 1, r: 4, u: 2, g: 2, d: 1}?\n' | b'4/45\n' | b'What is prob of picking 1 u and 1 g when two letters picked without replacement from {z: 1, r: 4, u: 2, g: 2, d: 1}?\n' | b'4/45\n' | deepmind/math_dataset |
b'What is prob of sequence fc when two letters picked without replacement from {f: 18, c: 2}?\n' | b'9/95\n' | b'What is prob of sequence fc when two letters picked without replacement from {f: 18, c: 2}?\n' | b'9/95\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 s, 1 l, and 1 g when four letters picked without replacement from {s: 2, q: 1, g: 2, l: 1, h: 2}.\n' | b'2/35\n' | b'Calculate prob of picking 1 q, 1 s, 1 l, and 1 g when four letters picked without replacement from {s: 2, q: 1, g: 2, l: 1, h: 2}.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let w(r) be the third derivative of r**5/60 - r**4/24 - 2*r**3/3 - 23*r**2. Let c be w(3). Solve 3*n - c*f = -7, 7 + 3 = 2*n - 5*f for n.\n' | b'-5\n' | b'Let w(r) be the third derivative of r**5/60 - r**4/24 - 2*r**3/3 - 23*r**2. Let c be w(3). Solve 3*n - c*f = -7, 7 + 3 = 2*n - 5*f for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rqfza. What is prob of picking 1 r and 1 f?\n' | b'1/10\n' | b'Two letters picked without replacement from rqfza. What is prob of picking 1 r and 1 f?\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence kssk when four letters picked without replacement from skkkkkkkkkkkkkkkksk.\n' | b'1/171\n' | b'Calculate prob of sequence kssk when four letters picked without replacement from skkkkkkkkkkkkkkkksk.\n' | b'1/171\n' | deepmind/math_dataset |
b'Let j(t) = 8*t**3 + t**2 - 1. Suppose 4*y = 125 - 37. Suppose -23 = -p - y. Give j(p).\n' | b'8\n' | b'Let j(t) = 8*t**3 + t**2 - 1. Suppose 4*y = 125 - 37. Suppose -23 = -p - y. Give j(p).\n' | b'8\n' | deepmind/math_dataset |
b'Let w(h) = h**2 - 10*h - 15. Let b be w(12). Let r be (-1 + (-3)/b)*3. Let g be ((-14)/r)/(3/(-6)). Let f(j) = j + 2. Give f(g).\n' | b'-5\n' | b'Let w(h) = h**2 - 10*h - 15. Let b be w(12). Let r be (-1 + (-3)/b)*3. Let g be ((-14)/r)/(3/(-6)). Let f(j) = j + 2. Give f(g).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -715 + 1439 = 15*w + 709. Solve w = 3*r + 5*l, -50 + 44 = -5*r - 4*l for r.\n' | b'2\n' | b'Suppose -715 + 1439 = 15*w + 709. Solve w = 3*r + 5*l, -50 + 44 = -5*r - 4*l for r.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from geeejveeeeeeegg. What is prob of picking 1 j, 1 g, and 1 v?\n' | b'3/455\n' | b'Three letters picked without replacement from geeejveeeeeeegg. What is prob of picking 1 j, 1 g, and 1 v?\n' | b'3/455\n' | deepmind/math_dataset |
b'Let q(z) = z**2 - z + 3. Let c(h) = 2. Let k(n) = -3*c(n) + q(n). Calculate k(4).\n' | b'9\n' | b'Let q(z) = z**2 - z + 3. Let c(h) = 2. Let k(n) = -3*c(n) + q(n). Calculate k(4).\n' | b'9\n' | deepmind/math_dataset |
b'Let j(y) = -y**3 + 8*y**2 - 9*y + 8. Let n be j(7). Let f = n - -6. Let w(p) = -p + 3. Calculate w(f).\n' | b'3\n' | b'Let j(y) = -y**3 + 8*y**2 - 9*y + 8. Let n be j(7). Let f = n - -6. Let w(p) = -p + 3. Calculate w(f).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 3*m - 84 = 27. Suppose -5*j = -6*j + 4. Solve 0 = -4*f - 5*z - m, -2*f + 19 = -j*z - z for f.\n' | b'-3\n' | b'Suppose 3*m - 84 = 27. Suppose -5*j = -6*j + 4. Solve 0 = -4*f - 5*z - m, -2*f + 19 = -j*z - z for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let t(o) be the second derivative of 3*o + 3 + 65/2*o**2 - 187/6*o**3. What is the first derivative of t(y) wrt y?\n' | b'-187\n' | b'Let t(o) be the second derivative of 3*o + 3 + 65/2*o**2 - 187/6*o**3. What is the first derivative of t(y) wrt y?\n' | b'-187\n' | deepmind/math_dataset |
b'Simplify (k**(2/9))**(-15/2)/(k*k/k**(2/23)*k*k/k**(2/11)) assuming k is positive.\n' | b'k**(-4097/759)\n' | b'Simplify (k**(2/9))**(-15/2)/(k*k/k**(2/23)*k*k/k**(2/11)) assuming k is positive.\n' | b'k**(-4097/759)\n' | deepmind/math_dataset |
b'Let m = 6 - 5. Let g = 1 + m. Solve j + u + 10 = -2*u, -g*j - 2*u = 0 for j.\n' | b'5\n' | b'Let m = 6 - 5. Let g = 1 + m. Solve j + u + 10 = -2*u, -g*j - 2*u = 0 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Let f(c) = -c**2 + c - 1. Let z(g) = g**2 - 26*g - 5. Let n(r) = 5*f(r) - z(r). Find the second derivative of n(b) wrt b.\n' | b'-12\n' | b'Let f(c) = -c**2 + c - 1. Let z(g) = g**2 - 26*g - 5. Let n(r) = 5*f(r) - z(r). Find the second derivative of n(b) wrt b.\n' | b'-12\n' | deepmind/math_dataset |
b'Let t(a) = 93*a**3 - 7*a**2 - 12*a + 2. Let c(y) = 186*y**3 - 15*y**2 - 33*y + 5. Let j(w) = -4*c(w) + 9*t(w). Find the second derivative of j(s) wrt s.\n' | b'558*s - 6\n' | b'Let t(a) = 93*a**3 - 7*a**2 - 12*a + 2. Let c(y) = 186*y**3 - 15*y**2 - 33*y + 5. Let j(w) = -4*c(w) + 9*t(w). Find the second derivative of j(s) wrt s.\n' | b'558*s - 6\n' | deepmind/math_dataset |
b'Suppose 2*k = -3*o, -k + 3*o + 6 = -4*k. Let y(c) = c**3 + 7*c**2 - 4. Let m be y(k). Solve -1 = 4*a - 3*v + 2, 4*a + 4*v - m = 0 for a.\n' | b'3\n' | b'Suppose 2*k = -3*o, -k + 3*o + 6 = -4*k. Let y(c) = c**3 + 7*c**2 - 4. Let m be y(k). Solve -1 = 4*a - 3*v + 2, 4*a + 4*v - m = 0 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (l**(2/5)*l)**13*(l**(-1/2))**(1/64) assuming l is positive.\n' | b'l**(11643/640)\n' | b'Simplify (l**(2/5)*l)**13*(l**(-1/2))**(1/64) assuming l is positive.\n' | b'l**(11643/640)\n' | deepmind/math_dataset |
b'What is prob of sequence icic when four letters picked without replacement from {c: 19, i: 1}?\n' | b'0\n' | b'What is prob of sequence icic when four letters picked without replacement from {c: 19, i: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Let r be 6/9 - 8/(-6). Suppose -v + 4 = -1. Let m = 6 - v. Solve 5*u - 1 = r*i - i, i = -5*u - m for i.\n' | b'-1\n' | b'Let r be 6/9 - 8/(-6). Suppose -v + 4 = -1. Let m = 6 - v. Solve 5*u - 1 = r*i - i, i = -5*u - m for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -3*a - 3 = -0*a, -3*n - 5*a + 16 = 0. Suppose 3*b + p = -0*b + n, -2*p - 10 = -2*b. Find the second derivative of 2*l**b + 4*l - l - 1 + 1 wrt l.\n' | b'12*l\n' | b'Suppose -3*a - 3 = -0*a, -3*n - 5*a + 16 = 0. Suppose 3*b + p = -0*b + n, -2*p - 10 = -2*b. Find the second derivative of 2*l**b + 4*l - l - 1 + 1 wrt l.\n' | b'12*l\n' | deepmind/math_dataset |
b'Let r be 3*(3/12 - 7/(-28))*18. Solve -m = -4*f + 16, r = 5*f - 8*m + 5*m for f.\n' | b'3\n' | b'Let r be 3*(3/12 - 7/(-28))*18. Solve -m = -4*f + 16, r = 5*f - 8*m + 5*m for f.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence bc when two letters picked without replacement from bbecbbscbbbeabeeecs.\n' | b'4/57\n' | b'Calculate prob of sequence bc when two letters picked without replacement from bbecbbscbbbeabeeecs.\n' | b'4/57\n' | deepmind/math_dataset |
b'Let p be (-3)/2 + 44/8. Let k(f) = -f**2 + 7*f - 7. Let z be k(p). What is the derivative of -3 + 0*y - 7*y + z wrt y?\n' | b'-7\n' | b'Let p be (-3)/2 + 44/8. Let k(f) = -f**2 + 7*f - 7. Let z be k(p). What is the derivative of -3 + 0*y - 7*y + z wrt y?\n' | b'-7\n' | deepmind/math_dataset |
b'Let o(q) be the first derivative of 0*q + 2/3*q**3 + 0*q**2 + 0*q**4 + 2 - 3/5*q**5. Find the third derivative of o(i) wrt i.\n' | b'-72*i\n' | b'Let o(q) be the first derivative of 0*q + 2/3*q**3 + 0*q**2 + 0*q**4 + 2 - 3/5*q**5. Find the third derivative of o(i) wrt i.\n' | b'-72*i\n' | deepmind/math_dataset |
b'What is the first derivative of 17 - 15*z**2 + 4*z + 9*z**2 - 4*z wrt z?\n' | b'-12*z\n' | b'What is the first derivative of 17 - 15*z**2 + 4*z + 9*z**2 - 4*z wrt z?\n' | b'-12*z\n' | deepmind/math_dataset |
b'Let d(a) = 4 - 1 + 2*a - 1. Let l = 35 + -32. Suppose -2*q - 4 = i, 0 = l*i + 4*q + 8 + 4. Calculate d(i).\n' | b'-6\n' | b'Let d(a) = 4 - 1 + 2*a - 1. Let l = 35 + -32. Suppose -2*q - 4 = i, 0 = l*i + 4*q + 8 + 4. Calculate d(i).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((q**12/q*q)/q)**(-2/87))**(-2/9) assuming q is positive.\n' | b'q**(44/783)\n' | b'Simplify (((q**12/q*q)/q)**(-2/87))**(-2/9) assuming q is positive.\n' | b'q**(44/783)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ooedbee. Give prob of sequence oo.\n' | b'1/21\n' | b'Two letters picked without replacement from ooedbee. Give prob of sequence oo.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence ie when two letters picked without replacement from mixwfwefewxm.\n' | b'1/66\n' | b'Calculate prob of sequence ie when two letters picked without replacement from mixwfwefewxm.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose 0 = 4*w + 76 + 284. Let d be (-1060)/w - 2/(-9). Let r be (1 + 1)*(-5 + d). Solve -4*q - 2*t = -r, -4*t + 0 = -3*q - 17 for q.\n' | b'1\n' | b'Suppose 0 = 4*w + 76 + 284. Let d be (-1060)/w - 2/(-9). Let r be (1 + 1)*(-5 + d). Solve -4*q - 2*t = -r, -4*t + 0 = -3*q - 17 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let a = -17322 - -17325. Let k(z) be the third derivative of -21*z**2 - 1/24*z**4 + 0*z - 1/3*z**a + 0. Give k(3).\n' | b'-5\n' | b'Let a = -17322 - -17325. Let k(z) be the third derivative of -21*z**2 - 1/24*z**4 + 0*z - 1/3*z**a + 0. Give k(3).\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(y) = y**3 + 23*y**2 - 26*y - 47. Let q be i(-24). Solve 0 = 5*w - 5, z + 4*w = -q + 2 for z.\n' | b'-3\n' | b'Let i(y) = y**3 + 23*y**2 - 26*y - 47. Let q be i(-24). Solve 0 = 5*w - 5, z + 4*w = -q + 2 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vxd when three letters picked without replacement from bkkxkdkkvvkdbbkkdxv.\n' | b'1/323\n' | b'Calculate prob of sequence vxd when three letters picked without replacement from bkkxkdkkvvkdbbkkdxv.\n' | b'1/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lllekddnkk. Give prob of sequence eddn.\n' | b'1/2520\n' | b'Four letters picked without replacement from lllekddnkk. Give prob of sequence eddn.\n' | b'1/2520\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggwgggggggggggggggg. What is prob of sequence wg?\n' | b'1/20\n' | b'Two letters picked without replacement from gggwgggggggggggggggg. What is prob of sequence wg?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (i**(-1/5)*(i/i**(2/13))/i)/((i*(i/((i**5/i)/i))/i)/i**(-1/3)) assuming i is positive.\n' | b'i**(256/195)\n' | b'Simplify (i**(-1/5)*(i/i**(2/13))/i)/((i*(i/((i**5/i)/i))/i)/i**(-1/3)) assuming i is positive.\n' | b'i**(256/195)\n' | deepmind/math_dataset |
b'Let w(t) = 7*t - 12*t + 6 - 2*t - 3 + 8*t + 3*t**2. Let j(g) = -4*g**2 - 2*g - 8. Let a(u) = 2*j(u) + 5*w(u). Calculate a(2).\n' | b'29\n' | b'Let w(t) = 7*t - 12*t + 6 - 2*t - 3 + 8*t + 3*t**2. Let j(g) = -4*g**2 - 2*g - 8. Let a(u) = 2*j(u) + 5*w(u). Calculate a(2).\n' | b'29\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, h: 4, p: 1, y: 2, b: 6}. Give prob of sequence bpy.\n' | b'1/280\n' | b'Three letters picked without replacement from {m: 3, h: 4, p: 1, y: 2, b: 6}. Give prob of sequence bpy.\n' | b'1/280\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 8, m: 5}. Give prob of sequence nmmn.\n' | b'28/429\n' | b'Four letters picked without replacement from {n: 8, m: 5}. Give prob of sequence nmmn.\n' | b'28/429\n' | deepmind/math_dataset |
b'Simplify (u**(-16/7)/u**(-21)*(u*(u**32/u)/u)/(u**(-10)/u))**(1/9) assuming u is positive.\n' | b'u**(425/63)\n' | b'Simplify (u**(-16/7)/u**(-21)*(u*(u**32/u)/u)/(u**(-10)/u))**(1/9) assuming u is positive.\n' | b'u**(425/63)\n' | deepmind/math_dataset |
b'What is prob of sequence oo when two letters picked without replacement from oeiioooiiieiiooo?\n' | b'7/40\n' | b'What is prob of sequence oo when two letters picked without replacement from oeiioooiiieiiooo?\n' | b'7/40\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhofuhz. What is prob of picking 1 u, 1 z, 1 o, and 1 f?\n' | b'1/35\n' | b'Four letters picked without replacement from hhofuhz. What is prob of picking 1 u, 1 z, 1 o, and 1 f?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from kkkkkkk?\n' | b'1\n' | b'What is prob of picking 2 k when two letters picked without replacement from kkkkkkk?\n' | b'1\n' | deepmind/math_dataset |
b'Let k(a) be the second derivative of -2*a**3/3 - a**2/2 + a. Let z = 3112 + -3118. Give k(z).\n' | b'23\n' | b'Let k(a) be the second derivative of -2*a**3/3 - a**2/2 + a. Let z = 3112 + -3118. Give k(z).\n' | b'23\n' | deepmind/math_dataset |
b'Let n(s) be the first derivative of 8*s**2 + 0*s**3 + 0*s - 18 - 16/5*s**5 + 0*s**4. Find the second derivative of n(g) wrt g.\n' | b'-192*g**2\n' | b'Let n(s) be the first derivative of 8*s**2 + 0*s**3 + 0*s - 18 - 16/5*s**5 + 0*s**4. Find the second derivative of n(g) wrt g.\n' | b'-192*g**2\n' | deepmind/math_dataset |
b'What is prob of sequence hh when two letters picked without replacement from {q: 4, h: 14}?\n' | b'91/153\n' | b'What is prob of sequence hh when two letters picked without replacement from {q: 4, h: 14}?\n' | b'91/153\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 d when four letters picked without replacement from {m: 8, n: 4, d: 4}.\n' | b'1/1820\n' | b'Calculate prob of picking 4 d when four letters picked without replacement from {m: 8, n: 4, d: 4}.\n' | b'1/1820\n' | deepmind/math_dataset |
b'Simplify (q**(1/13))**9/(q*q*q**(3/4)*q)**(18/5) assuming q is positive.\n' | b'q**(-333/26)\n' | b'Simplify (q**(1/13))**9/(q*q*q**(3/4)*q)**(18/5) assuming q is positive.\n' | b'q**(-333/26)\n' | deepmind/math_dataset |
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